premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is strong then alice is either wise or not tall and vice versa.
Everyone who is either quiet or brave is creative and vice versa.
Everyone who is either not tall or not patient is not generous or not creative.
If mary is either not curious or generous then someone is creative and vice versa.
Everyone who is ... | Susan is not creative. | contradiction | ((?[X]:(strong(X)))<=>((wise(alice)<~>~tall(alice))))&
(![X]:((quiet(X)<~>brave(X))<=>creative(X)))&
(![X]:((~tall(X)<~>~patient(X))=>(~generous(X)|~creative(X))))&
(((~curious(mary)<~>generous(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~brave(X)&patient(X))<=>(brave(X)|humble(X))))&
((?[X]:((patient(X)<~>~brave(X))))=>(... | ~creative(susan) | [
"p1",
"p4",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1802876678247708413850032
% SZS output start Proof for 1802876678247708413850032
2. ! [X0] : ((quiet(X0) <~> brave(X0)) <=> creative(X0)) [input p1]
5. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p4]
12. ? [X0] : (kind(X0) | ~tall(X0)) <=> (calm(susan) & quie... | 0 |
Everyone who is not kind is rich and vice versa.
Everyone who is not wise is not curious or not patient and vice versa.
Everyone who is either brave or strong is not creative or happy and vice versa.
If someone is old then someone is brave or not funny and vice versa.
If someone is strong or brave then lucy is not humb... | Paul is calm. | neutral | (![X]:(~kind(X)<=>rich(X)))&
(![X]:(~wise(X)<=>(~curious(X)|~patient(X))))&
(![X]:((brave(X)<~>strong(X))<=>(~creative(X)|happy(X))))&
((?[X]:(old(X)))<=>(?[X]:((brave(X)|~funny(X)))))&
((?[X]:((strong(X)|brave(X))))=>((~humble(lucy)|calm(lucy))))&
(((~humble(john)|~quiet(john)))<=>((kind(john)<~>~strong(john))))&
((~s... | calm(paul) | [] | null | 0 |
If someone is both not strong and not humble then paul is wise or calm and vice versa. If fred is either old or generous then lucy is both not brave and wise and vice versa. Everyone who is both not wise and not kind is old. Everyone who is either not kind or not patient is not curious or not brave. Everyone who is not... | Paul is happy. | entailment | ((?[X]:((~strong(X)&~humble(X))))<=>((wise(paul)|calm(paul))))&
(((old(fred)<~>generous(fred)))<=>((~brave(lucy)&wise(lucy))))&
(![X]:((~wise(X)&~kind(X))=>old(X)))&
(![X]:((~kind(X)<~>~patient(X))=>(~curious(X)|~brave(X))))&
(![X]:((~creative(X)|brave(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((kind(X)&humble(X))<=>(~ol... | happy(paul) | [
"p5",
"p6",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 962578374684686658493375
% SZS output start Proof for 962578374684686658493375
6. ! [X0] : ((humble(X0) & kind(X0)) <=> (~kind(X0) | ~old(X0))) [input p5]
7. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (~humble(X0) | kind(X0))) [input p6]
14. ! [X0] : ((~tall(X0) <~> ~happy(X0)) => (~creative(X0... | 0 |
If susan is strong or not old then someone is both not humble and not brave.
Everyone who is curious is both tall and happy and vice versa.
Everyone who is not quiet is either not quiet or wise and vice versa.
If lucy is strong or brave then someone is not happy or not patient and vice versa.
Everyone who is not kind o... | Mary is not generous. | neutral | (((strong(susan)|~old(susan)))=>(?[X]:((~humble(X)&~brave(X)))))&
(![X]:(curious(X)<=>(tall(X)&happy(X))))&
(![X]:(~quiet(X)<=>(~quiet(X)<~>wise(X))))&
(((strong(lucy)|brave(lucy)))<=>(?[X]:((~happy(X)|~patient(X)))))&
(![X]:((~kind(X)|quiet(X))=>~old(X)))&
(![X]:((~curious(X)|~patient(X))=>(~happy(X)<~>~curious(X))))&... | ~generous(mary) | [] | null | 0 |
If someone is quiet or patient then someone is wise and vice versa. If someone is calm or humble then mary is either not creative or happy. Everyone who is both rich and not old is not happy or not tall. If fred is both strong and old then mary is not brave or brave and vice versa. Everyone who is old or patient is not... | Susan is not creative. | neutral | ((?[X]:((quiet(X)|patient(X))))<=>(?[X]:(wise(X))))&
((?[X]:((calm(X)|humble(X))))=>((~creative(mary)<~>happy(mary))))&
(![X]:((rich(X)&~old(X))=>(~happy(X)|~tall(X))))&
(((strong(fred)&old(fred)))<=>((~brave(mary)|brave(mary))))&
(![X]:((old(X)|patient(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((funny(X)&~quiet(X))<=>~hum... | ~creative(susan) | [] | null | 0 |
If someone is both quiet and brave then someone is both not wise and not strong.
Everyone who is not patient or quiet is not old.
Everyone who is either not rich or creative is not humble and vice versa.
If lucy is tall then paul is both not calm and humble.
If lucy is not tall then susan is not kind and vice versa.
Ev... | Paul is calm. | neutral | ((?[X]:((quiet(X)&brave(X))))=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:((~patient(X)|quiet(X))=>~old(X)))&
(![X]:((~rich(X)<~>creative(X))<=>~humble(X)))&
((tall(lucy))=>((~calm(paul)&humble(paul))))&
((~tall(lucy))<=>(~kind(susan)))&
(![X]:((wise(X)|~rich(X))<=>(curious(X)<~>generous(X))))&
(![X]:(funny(X)=>(funny(X)|t... | calm(paul) | [] | null | 0 |
Everyone who is both not rich and not wise is either curious or happy. Everyone who is strong or humble is either brave or not happy. Everyone who is either patient or curious is either creative or not curious. Everyone who is both patient and happy is not funny or not wise and vice versa. If lucy is kind then someone ... | Lucy is not tall. | entailment | (![X]:((~rich(X)&~wise(X))=>(curious(X)<~>happy(X))))&
(![X]:((strong(X)|humble(X))=>(brave(X)<~>~happy(X))))&
(![X]:((patient(X)<~>curious(X))=>(creative(X)<~>~curious(X))))&
(![X]:((patient(X)&happy(X))<=>(~funny(X)|~wise(X))))&
((kind(lucy))=>(?[X]:((~wise(X)<~>~calm(X)))))&
((?[X]:((~generous(X)|brave(X))))=>(?[X]:... | ~tall(lucy) | [
"p3",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2361935879625798980696519
% SZS output start Proof for 2361935879625798980696519
4. ! [X0] : ((happy(X0) & patient(X0)) <=> (~wise(X0) | ~funny(X0))) [input p3]
7. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (~old(X0) & calm(X0))) [input p6]
9. ! [X0] : ((~rich(X0) | happy(X0)) => (~calm(X0... | 0 |
Everyone who is kind or not happy is either humble or not creative.
If someone is humble then someone is not generous and vice versa.
If mary is both not tall and curious then someone is both wise and tall and vice versa.
Everyone who is not happy or curious is either not creative or not funny and vice versa.
Everyone ... | Fred is not strong. | neutral | (![X]:((kind(X)|~happy(X))=>(humble(X)<~>~creative(X))))&
((?[X]:(humble(X)))<=>(?[X]:(~generous(X))))&
(((~tall(mary)&curious(mary)))<=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((~happy(X)|curious(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~quiet(X)&~old(X))<=>(~quiet(X)&~wise(X))))&
(![X]:(strong(X)<=>(~humble(X)|wise(X))... | ~strong(fred) | [] | null | 0 |
If mary is not creative or not strong then fred is not strong. Everyone who is not creative is happy or calm and vice versa. Everyone who is both strong and not curious is tall and vice versa. Everyone who is tall or strong is quiet and vice versa. Everyone who is both not calm and not happy is strong and vice versa. E... | Paul is old. | neutral | (((~creative(mary)|~strong(mary)))=>(~strong(fred)))&
(![X]:(~creative(X)<=>(happy(X)|calm(X))))&
(![X]:((strong(X)&~curious(X))<=>tall(X)))&
(![X]:((tall(X)|strong(X))<=>quiet(X)))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(![X]:((old(X)|~generous(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((~kind(X)|brave(X))<=>(~strong(X... | old(paul) | [] | null | 0 |
If paul is both funny and not generous then susan is either wise or creative. Everyone who is kind is both not calm and tall and vice versa. Everyone who is not brave or creative is not happy. Everyone who is both brave and rich is quiet or not old and vice versa. Everyone who is both not quiet and funny is quiet or hu... | Alice is not patient. | neutral | (((funny(paul)&~generous(paul)))=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(X))<=>(quiet(X)|~old(X))))&
(![X]:((~quiet(X)&funny(X))=>(quiet(X)|humble(X))))&
(![X]:((~quiet(X)|calm(X))<=>(creative(X)|~patient(X))))&
((~ge... | ~patient(alice) | [] | null | 0 |
Everyone who is not old or not patient is not happy or brave and vice versa.
Everyone who is not creative or strong is humble or happy.
Everyone who is both calm and wise is not generous.
Everyone who is not wise is not patient and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious... | Mary is strong. | contradiction | (![X]:((~old(X)|~patient(X))<=>(~happy(X)|brave(X))))&
(![X]:((~creative(X)|strong(X))=>(humble(X)|happy(X))))&
(![X]:((calm(X)&wise(X))=>~generous(X)))&
(![X]:(~wise(X)<=>~patient(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happ... | strong(mary) | [
"p3",
"p5",
"p7",
"p8",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3615443143725673525529926
% SZS output start Proof for 3615443143725673525529926
4. ! [X0] : (~wise(X0) <=> ~patient(X0)) [input p3]
6. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p5]
8. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p7]
9. ? [X0] : (brave(X0) |... | 0 |
If someone is not generous or wise then someone is both not brave and humble and vice versa. Everyone who is not creative or creative is either rich or not tall and vice versa. Everyone who is not quiet or not humble is both not calm and old and vice versa. Everyone who is rich is old and vice versa. If alice is not ha... | Mary is funny. | neutral | ((?[X]:((~generous(X)|wise(X))))<=>(?[X]:((~brave(X)&humble(X)))))&
(![X]:((~creative(X)|creative(X))<=>(rich(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~calm(X)&old(X))))&
(![X]:(rich(X)<=>old(X)))&
(((~happy(alice)|wise(alice)))=>(~funny(fred)))&
(![X]:((humble(X)|patient(X))<=>(~funny(X)&funny(X))))&
(![X]:(... | funny(mary) | [] | null | 0 |
If fred is either not calm or not curious then alice is strong or not funny and vice versa. Everyone who is not patient is not quiet or old. Everyone who is strong is happy or old. If lucy is not calm or not humble then john is both not happy and patient. If susan is not rich then someone is either quiet or not old and... | Lucy is curious. | contradiction | (((~calm(fred)<~>~curious(fred)))<=>((strong(alice)|~funny(alice))))&
(![X]:(~patient(X)=>(~quiet(X)|old(X))))&
(![X]:(strong(X)=>(happy(X)|old(X))))&
(((~calm(lucy)|~humble(lucy)))=>((~happy(john)&patient(john))))&
((~rich(susan))<=>(?[X]:((quiet(X)<~>~old(X)))))&
((?[X]:((~humble(X)<~>humble(X))))<=>((wise(paul)|quie... | curious(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6219638133610874890695563
% SZS output start Proof for 6219638133610874890695563
7. ! [X0] : ((curious(X0) | ~kind(X0)) => (~curious(X0) & quiet(X0))) [input p6]
25. curious(lucy) [input hypothesis]
34. ! [X0] : ((~curious(X0) & quiet(X0)) | (~curious(X0) & kind(X0))) [ennf transformation... | 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 ... | Mary is not strong. | entailment | ((?[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... | ~strong(mary) | [
"p1",
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 168222224721668565941512
% SZS output start Proof for 168222224721668565941512
2. (~quiet(alice) | ~funny(alice)) => (tall(mary) <~> strong(mary)) [input p1]
6. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~humble(X0) & old(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0)... | 0 |
Everyone who is not quiet or calm is either not humble or calm and vice versa. If john is both strong and quiet then mary is both not generous and not kind and vice versa. Everyone who is happy is rich or not funny and vice versa. If someone is either not patient or not kind then someone is kind or not brave and vice v... | Susan is happy. | entailment | (![X]:((~quiet(X)|calm(X))<=>(~humble(X)<~>calm(X))))&
(((strong(john)&quiet(john)))<=>((~generous(mary)&~kind(mary))))&
(![X]:(happy(X)<=>(rich(X)|~funny(X))))&
((?[X]:((~patient(X)<~>~kind(X))))<=>(?[X]:((kind(X)|~brave(X)))))&
(![X]:(~happy(X)<=>(~creative(X)&~funny(X))))&
(![X]:((generous(X)<~>rich(X))<=>(rich(X)|~... | happy(susan) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7686590427537128046846110
% SZS output start Proof for 7686590427537128046846110
3. ! [X0] : (happy(X0) <=> (~funny(X0) | rich(X0))) [input p2]
5. ! [X0] : (~happy(X0) <=> (~funny(X0) & ~creative(X0))) [input p4]
25. ~happy(susan) [input hypothesis]
38. ! [X0] : ((happy(X0) | (funny(X0) &... | 0 |
If alice is both not old and calm then someone is not strong and vice versa. If someone is either generous or not patient then mary is brave or not funny. Everyone who is either not patient or wise is curious. If someone is tall then paul is not curious or not kind and vice versa. If fred is old then john is not brave.... | Mary is not patient. | neutral | (((~old(alice)&calm(alice)))<=>(?[X]:(~strong(X))))&
((?[X]:((generous(X)<~>~patient(X))))=>((brave(mary)|~funny(mary))))&
(![X]:((~patient(X)<~>wise(X))=>curious(X)))&
((?[X]:(tall(X)))<=>((~curious(paul)|~kind(paul))))&
((old(fred))=>(~brave(john)))&
((?[X]:(~humble(X)))<=>(?[X]:(~old(X))))&
((?[X]:((~funny(X)|rich(X... | ~patient(mary) | [] | null | 0 |
Everyone who is either rich or patient is generous and vice versa.
Everyone who is creative or old is both strong and not creative and vice versa.
Everyone who is either tall or generous is humble and vice versa.
Everyone who is either funny or not funny is both not patient and not brave and vice versa.
Everyone who is... | Paul is curious. | contradiction | (![X]:((rich(X)<~>patient(X))<=>generous(X)))&
(![X]:((creative(X)|old(X))<=>(strong(X)&~creative(X))))&
(![X]:((tall(X)<~>generous(X))<=>humble(X)))&
(![X]:((funny(X)<~>~funny(X))<=>(~patient(X)&~brave(X))))&
(![X]:((~quiet(X)&~strong(X))=>(~wise(X)&strong(X))))&
((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((~rich(X)|hum... | curious(paul) | [
"p1",
"p3",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4941560389659712412799968
% SZS output start Proof for 4941560389659712412799968
2. ! [X0] : ((old(X0) | creative(X0)) <=> (~creative(X0) & strong(X0))) [input p1]
4. ! [X0] : ((funny(X0) <~> ~funny(X0)) <=> (~brave(X0) & ~patient(X0))) [input p3]
6. ? [X0] : (creative(X0) & ~kind(X0)) <=... | 0 |
Everyone who is either not kind or not creative is curious or not kind. Everyone who is both not generous and not tall is old. If someone is both tall and quiet then susan is both curious and rich. If lucy is not rich then susan is either generous or not generous and vice versa. If susan is either patient or quiet then... | Lucy is creative. | entailment | (![X]:((~kind(X)<~>~creative(X))=>(curious(X)|~kind(X))))&
(![X]:((~generous(X)&~tall(X))=>old(X)))&
((?[X]:((tall(X)&quiet(X))))=>((curious(susan)&rich(susan))))&
((~rich(lucy))<=>((generous(susan)<~>~generous(susan))))&
(((patient(susan)<~>quiet(susan)))=>(?[X]:((~humble(X)|~patient(X)))))&
(![X]:(~creative(X)=>(~kin... | creative(lucy) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6647154058112752419408337
% SZS output start Proof for 6647154058112752419408337
6. ! [X0] : (~creative(X0) => (brave(X0) & ~kind(X0))) [input p5]
8. ! [X0] : (calm(X0) => kind(X0)) [input p7]
9. ! [X0] : (~calm(X0) => creative(X0)) [input p8]
20. ~creative(lucy) [input hypothesis]
29. ! ... | 0 |
If someone is calm or strong then someone is either not curious or creative.
If john is generous then lucy is happy and vice versa.
Everyone who is not happy is patient.
If susan is both tall and brave then someone is not rich or not patient.
If fred is both not creative and not happy then someone is not happy and vice... | Paul is wise. | contradiction | ((?[X]:((calm(X)|strong(X))))=>(?[X]:((~curious(X)<~>creative(X)))))&
((generous(john))<=>(happy(lucy)))&
(![X]:(~happy(X)=>patient(X)))&
(((tall(susan)&brave(susan)))=>(?[X]:((~rich(X)|~patient(X)))))&
(((~creative(fred)&~happy(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~old(X)|~curious(X))<=>(curious(X)<~>wise(X))))&
(![... | wise(paul) | [
"p4",
"p5",
"p6",
"p8",
"p11",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 366709192683406285775264
% SZS output start Proof for 366709192683406285775264
5. (~happy(fred) & ~creative(fred)) <=> ? [X0] : ~happy(X0) [input p4]
6. ! [X0] : ((~curious(X0) | ~old(X0)) <=> (curious(X0) <~> wise(X0))) [input p5]
7. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~old(X0) & cre... | 0 |
If someone is not creative or funny then someone is generous or humble and vice versa.
Everyone who is calm or not humble is generous or rich and vice versa.
If paul is not curious or strong then fred is either patient or wise.
If someone is humble then alice is not brave and vice versa.
If someone is both not patient ... | Alice is brave. | contradiction | ((?[X]:((~creative(X)|funny(X))))<=>(?[X]:((generous(X)|humble(X)))))&
(![X]:((calm(X)|~humble(X))<=>(generous(X)|rich(X))))&
(((~curious(paul)|strong(paul)))=>((patient(fred)<~>wise(fred))))&
((?[X]:(humble(X)))<=>(~brave(alice)))&
((?[X]:((~patient(X)&wise(X))))<=>(?[X]:((~tall(X)&~happy(X)))))&
((humble(alice))<=>((... | brave(alice) | [
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4523760664845651727388151
% SZS output start Proof for 4523760664845651727388151
4. ? [X0] : humble(X0) <=> ~brave(alice) [input p3]
14. ! [X0] : (~humble(X0) => generous(X0)) [input p13]
18. ? [X0] : ~generous(X0) [input p17]
25. brave(alice) [input hypothesis]
33. ! [X0] : (generous(X0)... | 0 |
Everyone who is both old and not tall is tall and vice versa. If paul is both not wise and wise then susan is creative or curious and vice versa. If someone is both humble and patient then someone is creative. Everyone who is both not quiet and generous is not funny and vice versa. If someone is both rich and curious t... | Lucy is not happy. | neutral | (![X]:((old(X)&~tall(X))<=>tall(X)))&
(((~wise(paul)&wise(paul)))<=>((creative(susan)|curious(susan))))&
((?[X]:((humble(X)&patient(X))))=>(?[X]:(creative(X))))&
(![X]:((~quiet(X)&generous(X))<=>~funny(X)))&
((?[X]:((rich(X)&curious(X))))<=>((quiet(paul)&old(paul))))&
(((~old(paul)<~>creative(paul)))=>((~generous(john)... | ~happy(lucy) | [] | null | 0 |
Everyone who is curious is funny or not creative and vice versa.
If mary is not tall then john is not brave or patient and vice versa.
If john is either curious or not tall then someone is either not strong or generous.
Everyone who is either quiet or not rich is creative and vice versa.
Everyone who is both humble and... | Lucy is not tall. | neutral | (![X]:(curious(X)<=>(funny(X)|~creative(X))))&
((~tall(mary))<=>((~brave(john)|patient(john))))&
(((curious(john)<~>~tall(john)))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>creative(X)))&
(![X]:((humble(X)&rich(X))<=>(~patient(X)|humble(X))))&
(![X]:((kind(X)<~>happy(X))<=>(funny(X)&brave(X))... | ~tall(lucy) | [] | null | 0 |
Everyone who is curious is brave or happy and vice versa.
If someone is either curious or not humble then someone is not kind and vice versa.
If someone is either not wise or curious then someone is both kind and wise and vice versa.
Everyone who is humble is not curious and vice versa.
If paul is either brave or wise ... | Paul is not tall. | contradiction | (![X]:(curious(X)<=>(brave(X)|happy(X))))&
((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~wise(X)<~>curious(X))))<=>(?[X]:((kind(X)&wise(X)))))&
(![X]:(humble(X)<=>~curious(X)))&
(((brave(paul)<~>wise(paul)))<=>(?[X]:((~funny(X)&~creative(X)))))&
(((creative(paul)|tall(paul)))<=>(?[X]:((patient(X)|... | ~tall(paul) | [
"p1",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1627432515945324711815415
% SZS output start Proof for 1627432515945324711815415
2. ? [X0] : (curious(X0) <~> ~humble(X0)) <=> ? [X0] : ~kind(X0) [input p1]
4. ! [X0] : (humble(X0) <=> ~curious(X0)) [input p3]
13. ! [X0] : ((~tall(X0) | ~calm(X0)) => (humble(X0) & ~kind(X0))) [input p12]
... | 0 |
If paul is both tall and generous then someone is not creative and vice versa.
Everyone who is quiet or brave is wise.
If someone is both rich and tall then someone is either not quiet or not strong.
Everyone who is not old is kind or creative.
Everyone who is humble or patient is not tall.
If someone is not brave then... | Alice is not wise. | neutral | (((tall(paul)&generous(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((quiet(X)|brave(X))=>wise(X)))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~quiet(X)<~>~strong(X)))))&
(![X]:(~old(X)=>(kind(X)|creative(X))))&
(![X]:((humble(X)|patient(X))=>~tall(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)|funny(X)))))&
(![X]:((generous(X)|~g... | ~wise(alice) | [] | null | 0 |
If someone is not generous or not kind then paul is brave.
Everyone who is both not generous and not quiet is both strong and not curious and vice versa.
Everyone who is both not strong and tall is both strong and generous and vice versa.
If someone is either not old or humble then someone is both not old and not tall ... | Alice is wise. | contradiction | ((?[X]:((~generous(X)|~kind(X))))=>(brave(paul)))&
(![X]:((~generous(X)&~quiet(X))<=>(strong(X)&~curious(X))))&
(![X]:((~strong(X)&tall(X))<=>(strong(X)&generous(X))))&
((?[X]:((~old(X)<~>humble(X))))<=>(?[X]:((~old(X)&~tall(X)))))&
(((strong(john)|funny(john)))<=>((~wise(alice)<~>brave(alice))))&
(![X]:(brave(X)<=>(~q... | wise(alice) | [
"p2",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3306734605757421721205802
% SZS output start Proof for 3306734605757421721205802
3. ! [X0] : ((tall(X0) & ~strong(X0)) <=> (generous(X0) & strong(X0))) [input p2]
7. ! [X0] : ((~calm(X0) & tall(X0)) <=> curious(X0)) [input p6]
13. (curious(paul) & generous(paul)) <=> ? [X0] : (patient(X0)... | 0 |
Everyone who is either happy or strong is not rich or wise and vice versa. If mary is both not funny and curious then someone is not funny or strong and vice versa. Everyone who is either calm or wise is tall and vice versa. Everyone who is both not curious and wise is not funny. Everyone who is not wise or not kind is... | John is not patient. | neutral | (![X]:((happy(X)<~>strong(X))<=>(~rich(X)|wise(X))))&
(((~funny(mary)&curious(mary)))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:((calm(X)<~>wise(X))<=>tall(X)))&
(![X]:((~curious(X)&wise(X))=>~funny(X)))&
(![X]:((~wise(X)|~kind(X))<=>(quiet(X)|~wise(X))))&
(![X]:((humble(X)<~>~curious(X))=>creative(X)))&
(![X]:((rich(X)... | ~patient(john) | [] | null | 0 |
Everyone who is both brave and funny is wise or not calm.
Everyone who is happy or patient is both not happy and not kind and vice versa.
Everyone who is either funny or not kind is both quiet and not happy.
If fred is brave or generous then john is not calm or not humble and vice versa.
Everyone who is either curious ... | Paul is not happy. | entailment | (![X]:((brave(X)&funny(X))=>(wise(X)|~calm(X))))&
(![X]:((happy(X)|patient(X))<=>(~happy(X)&~kind(X))))&
(![X]:((funny(X)<~>~kind(X))=>(quiet(X)&~happy(X))))&
(((brave(fred)|generous(fred)))<=>((~calm(john)|~humble(john))))&
(![X]:((curious(X)<~>humble(X))<=>(~brave(X)&~creative(X))))&
(![X]:(~brave(X)<=>(generous(X)|~... | ~happy(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 48623486689711000243382
% SZS output start Proof for 48623486689711000243382
2. ! [X0] : ((patient(X0) | happy(X0)) <=> (~kind(X0) & ~happy(X0))) [input p1]
23. happy(paul) [input hypothesis]
32. ! [X0] : (((patient(X0) | happy(X0)) | (kind(X0) | happy(X0))) & ((~kind(X0) & ~happy(X0)) | ... | 0 |
If fred is generous or not wise then mary is either not happy or not creative.
If john is not patient or not creative then someone is either curious or not curious and vice versa.
Everyone who is either not patient or not quiet is brave.
Everyone who is both not strong and not funny is not generous and vice versa.
If j... | Alice is funny. | contradiction | (((generous(fred)|~wise(fred)))=>((~happy(mary)<~>~creative(mary))))&
(((~patient(john)|~creative(john)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
(![X]:((~patient(X)<~>~quiet(X))=>brave(X)))&
(![X]:((~strong(X)&~funny(X))<=>~generous(X)))&
(((~patient(john)&~curious(john)))<=>(kind(john)))&
((?[X]:(~happy(X)))=>((patie... | funny(alice) | [
"p6",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 508662162505150583829783
% SZS output start Proof for 508662162505150583829783
7. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (~brave(X0) | ~funny(X0))) [input p6]
12. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> (~wise(X0) | brave(X0))) [input p11]
15. ! [X0] : (humble(X0) <=> (~brave(X0) & ~fun... | 0 |
Everyone who is both not old and generous is not curious or funny and vice versa. If paul is not happy then someone is wise or humble and vice versa. Everyone who is quiet or curious is both not curious and brave. If someone is not curious or not rich then mary is not patient. Everyone who is either old or calm is wise... | Mary is not creative. | contradiction | (![X]:((~old(X)&generous(X))<=>(~curious(X)|funny(X))))&
((~happy(paul))<=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((quiet(X)|curious(X))=>(~curious(X)&brave(X))))&
((?[X]:((~curious(X)|~rich(X))))=>(~patient(mary)))&
(![X]:((old(X)<~>calm(X))<=>wise(X)))&
((?[X]:((patient(X)|happy(X))))=>(?[X]:((~curious(X)<~>brave(X))))... | ~creative(mary) | [
"p0",
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1144489448794357364961280
% SZS output start Proof for 1144489448794357364961280
1. ! [X0] : ((generous(X0) & ~old(X0)) <=> (funny(X0) | ~curious(X0))) [input p0]
3. ! [X0] : ((curious(X0) | quiet(X0)) => (brave(X0) & ~curious(X0))) [input p2]
7. ! [X0] : ((~rich(X0) <~> ~old(X0)) <=> (~r... | 0 |
If someone is either wise or generous then someone is both rich and curious and vice versa. Everyone who is not kind is curious or wise. If someone is not rich then susan is not quiet. Everyone who is both not patient and not curious is either not wise or not funny. Everyone who is calm or creative is old and vice vers... | Susan is not calm. | contradiction | ((?[X]:((wise(X)<~>generous(X))))<=>(?[X]:((rich(X)&curious(X)))))&
(![X]:(~kind(X)=>(curious(X)|wise(X))))&
((?[X]:(~rich(X)))=>(~quiet(susan)))&
(![X]:((~patient(X)&~curious(X))=>(~wise(X)<~>~funny(X))))&
(![X]:((calm(X)|creative(X))<=>old(X)))&
((?[X]:((curious(X)&~brave(X))))=>(?[X]:((happy(X)|tall(X)))))&
(![X]:((... | ~calm(susan) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3781665825736666038760614
% SZS output start Proof for 3781665825736666038760614
11. ! [X0] : ((~old(X0) | ~kind(X0)) <=> (~funny(X0) & kind(X0))) [input p10]
14. (creative(susan) & calm(susan)) <=> (kind(john) | ~quiet(john)) [input p13]
25. ~calm(susan) [input hypothesis]
55. ! [X0] : (... | 0 |
Everyone who is either not creative or not humble is both not curious and not humble and vice versa.
Everyone who is both not calm and not tall is old.
Everyone who is both not creative and not rich is not curious.
If someone is either not patient or humble then susan is both generous and kind and vice versa.
If lucy i... | Lucy is not calm. | neutral | (![X]:((~creative(X)<~>~humble(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~calm(X)&~tall(X))=>old(X)))&
(![X]:((~creative(X)&~rich(X))=>~curious(X)))&
((?[X]:((~patient(X)<~>humble(X))))<=>((generous(susan)&kind(susan))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)&brave(X))<=>(~tall(X)&~... | ~calm(lucy) | [] | null | 0 |
Everyone who is both not humble and rich is strong or funny and vice versa.
Everyone who is either not curious or not generous is strong and vice versa.
Everyone who is creative is funny or not curious.
Everyone who is either strong or not strong is funny and vice versa.
Everyone who is not generous or tall is strong.
... | Alice is not wise. | entailment | (![X]:((~humble(X)&rich(X))<=>(strong(X)|funny(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)|~curious(X))))&
(![X]:((strong(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~generous(X)|tall(X))=>strong(X)))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((old(... | ~wise(alice) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7285522645868459405940829
% SZS output start Proof for 7285522645868459405940829
1. ! [X0] : ((rich(X0) & ~humble(X0)) <=> (funny(X0) | strong(X0))) [input p0]
2. ! [X0] : ((~curious(X0) <~> ~generous(X0)) <=> strong(X0)) [input p1]
5. ! [X0] : ((tall(X0) | ~generous(X0)) => strong(X0)) [... | 0 |
If someone is not happy or not wise then alice is not quiet or not brave and vice versa. Everyone who is curious or strong is either not generous or old and vice versa. Everyone who is both funny and not happy is not humble or not curious and vice versa. Everyone who is both not brave and calm is not tall or curious. I... | Paul is humble. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((~quiet(alice)|~brave(alice))))&
(![X]:((curious(X)|strong(X))<=>(~generous(X)<~>old(X))))&
(![X]:((funny(X)&~happy(X))<=>(~humble(X)|~curious(X))))&
(![X]:((~brave(X)&calm(X))=>(~tall(X)|curious(X))))&
(((old(alice)&~humble(alice)))=>((rich(mary)<~>~tall(mary))))&
((?[X]:((wise(X)|qui... | humble(paul) | [
"p1",
"p2",
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3445689616350349337245323
% SZS output start Proof for 3445689616350349337245323
2. ! [X0] : ((strong(X0) | curious(X0)) <=> (~generous(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~curious(X0) | ~humble(X0))) [input p2]
7. (~strong(john) <~> ~brave(john)) <=> ?... | 0 |
Everyone who is either creative or brave is not curious. Everyone who is patient is both kind and not tall and vice versa. If fred is either not kind or not creative then someone is not curious and vice versa. Everyone who is not generous or not brave is both not funny and curious and vice versa. Everyone who is happy ... | Lucy is not strong. | neutral | (![X]:((creative(X)<~>brave(X))=>~curious(X)))&
(![X]:(patient(X)<=>(kind(X)&~tall(X))))&
(((~kind(fred)<~>~creative(fred)))<=>(?[X]:(~curious(X))))&
(![X]:((~generous(X)|~brave(X))<=>(~funny(X)&curious(X))))&
(![X]:((happy(X)|~brave(X))<=>(~kind(X)&curious(X))))&
(((~quiet(lucy)|~strong(lucy)))<=>(?[X]:((patient(X)|~c... | ~strong(lucy) | [] | null | 0 |
Everyone who is both not rich and patient is curious or tall.
Everyone who is not rich or curious is tall or not creative and vice versa.
Everyone who is tall or brave is not happy or creative and vice versa.
Everyone who is calm is both happy and brave.
Everyone who is both curious and calm is either not calm or not c... | Fred is not funny. | neutral | (![X]:((~rich(X)&patient(X))=>(curious(X)|tall(X))))&
(![X]:((~rich(X)|curious(X))<=>(tall(X)|~creative(X))))&
(![X]:((tall(X)|brave(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)=>(happy(X)&brave(X))))&
(![X]:((curious(X)&calm(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:((tall(X)|happy(X))<=>(~strong(X)&~creative(X))))&... | ~funny(fred) | [] | null | 0 |
If susan is both not curious and not brave then someone is both not old and not happy and vice versa.
If someone is both patient and old then someone is old or generous.
If fred is not calm then mary is rich and vice versa.
Everyone who is either brave or patient is old.
Everyone who is brave or not curious is both bra... | Lucy is humble. | entailment | (((~curious(susan)&~brave(susan)))<=>(?[X]:((~old(X)&~happy(X)))))&
((?[X]:((patient(X)&old(X))))=>(?[X]:((old(X)|generous(X)))))&
((~calm(fred))<=>(rich(mary)))&
(![X]:((brave(X)<~>patient(X))=>old(X)))&
(![X]:((brave(X)|~curious(X))<=>(brave(X)&~curious(X))))&
(![X]:((~old(X)&tall(X))<=>(~rich(X)<~>~funny(X))))&
(((g... | humble(lucy) | [
"p0",
"p4",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7364173944277807778215279
% SZS output start Proof for 7364173944277807778215279
1. (~brave(susan) & ~curious(susan)) <=> ? [X0] : (~happy(X0) & ~old(X0)) [input p0]
5. ! [X0] : ((~curious(X0) | brave(X0)) <=> (~curious(X0) & brave(X0))) [input p4]
11. ! [X0] : ((~humble(X0) | ~generous(X... | 0 |
Everyone who is both patient and not patient is rich and vice versa.
Everyone who is either patient or creative is either not creative or funny.
If someone is not patient or generous then someone is funny or tall.
If susan is not calm then someone is either humble or not creative and vice versa.
Everyone who is not kin... | John is not creative. | neutral | (![X]:((patient(X)&~patient(X))<=>rich(X)))&
(![X]:((patient(X)<~>creative(X))=>(~creative(X)<~>funny(X))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((funny(X)|tall(X)))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((calm(X)<~>wise(X))=>... | ~creative(john) | [] | null | 0 |
If alice is not humble or calm then someone is either creative or not strong. If someone is both not tall and not strong then someone is either generous or wise. Everyone who is old is both humble and happy and vice versa. If someone is both generous and not funny then someone is either calm or generous. If someone is ... | Susan is rich. | entailment | (((~humble(alice)|calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((generous(X)<~>wise(X)))))&
(![X]:(old(X)<=>(humble(X)&happy(X))))&
((?[X]:((generous(X)&~funny(X))))=>(?[X]:((calm(X)<~>generous(X)))))&
((?[X]:((wise(X)<~>~old(X))))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]... | rich(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8808688328270057571558426
% SZS output start Proof for 8808688328270057571558426
9. ! [X0] : ((~rich(X0) | ~creative(X0)) => (~wise(X0) & wise(X0))) [input p8]
21. ~rich(susan) [input hypothesis]
30. ! [X0] : ((~wise(X0) & wise(X0)) | (rich(X0) & creative(X0))) [ennf transformation 9]
108... | 0 |
Everyone who is either patient or not happy is either not brave or kind.
If someone is not tall or not old then alice is both not happy and not calm and vice versa.
If lucy is both not calm and not tall then alice is either not wise or generous and vice versa.
Everyone who is old or not funny is not strong or patient a... | Alice is not rich. | contradiction | (![X]:((patient(X)<~>~happy(X))=>(~brave(X)<~>kind(X))))&
((?[X]:((~tall(X)|~old(X))))<=>((~happy(alice)&~calm(alice))))&
(((~calm(lucy)&~tall(lucy)))<=>((~wise(alice)<~>generous(alice))))&
(![X]:((old(X)|~funny(X))<=>(~strong(X)|patient(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((creative(X)<~>calm(X)))))&
(![X]:((k... | ~rich(alice) | [
"p0",
"p3",
"p7",
"p9",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8750814698585338992942710
% SZS output start Proof for 8750814698585338992942710
1. ! [X0] : ((patient(X0) <~> ~happy(X0)) => (~brave(X0) <~> kind(X0))) [input p0]
4. ! [X0] : ((~funny(X0) | old(X0)) <=> (patient(X0) | ~strong(X0))) [input p3]
8. ! [X0] : ((old(X0) | creative(X0)) => (~fu... | 0 |
If mary is not kind then someone is either not strong or kind and vice versa.
Everyone who is creative is both not happy and curious and vice versa.
Everyone who is not rich is both not quiet and not calm and vice versa.
Everyone who is tall or curious is either calm or not kind.
Everyone who is strong or not calm is e... | Mary is patient. | contradiction | ((~kind(mary))<=>(?[X]:((~strong(X)<~>kind(X)))))&
(![X]:(creative(X)<=>(~happy(X)&curious(X))))&
(![X]:(~rich(X)<=>(~quiet(X)&~calm(X))))&
(![X]:((tall(X)|curious(X))=>(calm(X)<~>~kind(X))))&
(![X]:((strong(X)|~calm(X))=>(curious(X)<~>strong(X))))&
((?[X]:(~patient(X)))=>(?[X]:(generous(X))))&
(((rich(john)|patient(jo... | patient(mary) | [
"p0",
"p1",
"p2",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2443629124117803881617069
% SZS output start Proof for 2443629124117803881617069
1. ~kind(mary) <=> ? [X0] : (~strong(X0) <~> kind(X0)) [input p0]
2. ! [X0] : (creative(X0) <=> (curious(X0) & ~happy(X0))) [input p1]
3. ! [X0] : (~rich(X0) <=> (~calm(X0) & ~quiet(X0))) [input p2]
5. ! [X0]... | 0 |
Everyone who is funny is either not happy or old and vice versa.
Everyone who is not rich or tall is not creative or old and vice versa.
Everyone who is wise is strong.
Everyone who is tall or kind is not generous or not tall.
If someone is happy or not tall then alice is calm and vice versa.
Everyone who is either not... | Alice is not calm. | contradiction | (![X]:(funny(X)<=>(~happy(X)<~>old(X))))&
(![X]:((~rich(X)|tall(X))<=>(~creative(X)|old(X))))&
(![X]:(wise(X)=>strong(X)))&
(![X]:((tall(X)|kind(X))=>(~generous(X)|~tall(X))))&
((?[X]:((happy(X)|~tall(X))))<=>(calm(alice)))&
(![X]:((~humble(X)<~>creative(X))=>(~curious(X)&~creative(X))))&
((~brave(fred))<=>(?[X]:((~str... | ~calm(alice) | [
"p0",
"p4",
"p5",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5550773358084061302888232
% SZS output start Proof for 5550773358084061302888232
1. ! [X0] : (funny(X0) <=> (~happy(X0) <~> old(X0))) [input p0]
5. ? [X0] : (~tall(X0) | happy(X0)) <=> calm(alice) [input p4]
6. ! [X0] : ((~humble(X0) <~> creative(X0)) => (~creative(X0) & ~curious(X0))) [i... | 0 |
If mary is either old or quiet then paul is both not strong and not wise and vice versa. Everyone who is either happy or not calm is kind and vice versa. Everyone who is either quiet or not quiet is both kind and not tall and vice versa. If someone is rich then fred is quiet. If susan is both curious and quiet then joh... | Susan is happy. | contradiction | (((old(mary)<~>quiet(mary)))<=>((~strong(paul)&~wise(paul))))&
(![X]:((happy(X)<~>~calm(X))<=>kind(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(kind(X)&~tall(X))))&
((?[X]:(rich(X)))=>(quiet(fred)))&
(((curious(susan)&quiet(susan)))<=>(funny(john)))&
(![X]:((quiet(X)<~>~rich(X))<=>strong(X)))&
(![X]:(quiet(X)<=>(~happy(X)<~>... | happy(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3359344840114487423268338
% SZS output start Proof for 3359344840114487423268338
7. ! [X0] : (quiet(X0) <=> (~happy(X0) <~> ~quiet(X0))) [input p6]
23. happy(susan) [input hypothesis]
37. ! [X0] : ((quiet(X0) | ((~happy(X0) | quiet(X0)) & (~quiet(X0) | happy(X0)))) & (((quiet(X0) | happy(... | 0 |
If someone is either rich or funny then someone is either not tall or not old and vice versa.
If mary is both not kind and curious then fred is brave.
If susan is either not wise or brave then alice is quiet or not humble and vice versa.
Everyone who is happy or generous is quiet or patient and vice versa.
Everyone who... | Lucy is rich. | entailment | ((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(((~kind(mary)&curious(mary)))=>(brave(fred)))&
(((~wise(susan)<~>brave(susan)))<=>((quiet(alice)|~humble(alice))))&
(![X]:((happy(X)|generous(X))<=>(quiet(X)|patient(X))))&
(![X]:(generous(X)<=>(strong(X)|humble(X))))&
(((~wise(mary)|~funny(mary)))=>(?[X... | rich(lucy) | [
"p4",
"p8",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2625202518281754106473256
% SZS output start Proof for 2625202518281754106473256
5. ! [X0] : (generous(X0) <=> (humble(X0) | strong(X0))) [input p4]
9. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~wise(X0))) [input p8]
13. ? [X0] : ~humble(X0) => ~brave(susan) [input p12]
14. ! [X0] : (~wis... | 0 |
If someone is either not generous or strong then alice is both not creative and not tall and vice versa. If alice is not strong or funny then john is either tall or not tall and vice versa. Everyone who is either strong or wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Every... | Alice is funny. | neutral | ((?[X]:((~generous(X)<~>strong(X))))<=>((~creative(alice)&~tall(alice))))&
(((~strong(alice)|funny(alice)))<=>((tall(john)<~>~tall(john))))&
(![X]:((strong(X)<~>wise(X))=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(... | funny(alice) | [] | null | 0 |
Everyone who is curious or not calm is not humble or not generous.
Everyone who is either quiet or not humble is either tall or not humble and vice versa.
Everyone who is either funny or happy is either not quiet or strong and vice versa.
If someone is both rich and not funny then someone is rich.
Everyone who is eithe... | John is generous. | neutral | (![X]:((curious(X)|~calm(X))=>(~humble(X)|~generous(X))))&
(![X]:((quiet(X)<~>~humble(X))<=>(tall(X)<~>~humble(X))))&
(![X]:((funny(X)<~>happy(X))<=>(~quiet(X)<~>strong(X))))&
((?[X]:((rich(X)&~funny(X))))=>(?[X]:(rich(X))))&
(![X]:((~wise(X)<~>patient(X))=>(tall(X)<~>~generous(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~st... | generous(john) | [] | null | 0 |
If someone is quiet then someone is funny. If alice is either patient or quiet then susan is either not funny or tall and vice versa. If susan is kind or not rich then someone is happy or not generous. If someone is both calm and tall then mary is not funny or not strong. Everyone who is not kind or not strong is both ... | Susan is strong. | entailment | ((?[X]:(quiet(X)))=>(?[X]:(funny(X))))&
(((patient(alice)<~>quiet(alice)))<=>((~funny(susan)<~>tall(susan))))&
(((kind(susan)|~rich(susan)))=>(?[X]:((happy(X)|~generous(X)))))&
((?[X]:((calm(X)&tall(X))))=>((~funny(mary)|~strong(mary))))&
(![X]:((~kind(X)|~strong(X))<=>(~generous(X)&humble(X))))&
((?[X]:((strong(X)|cre... | strong(susan) | [
"p4",
"p5",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3297963232365894596263008
% SZS output start Proof for 3297963232365894596263008
5. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (humble(X0) & ~generous(X0))) [input p4]
6. ? [X0] : (creative(X0) | strong(X0)) <=> ~patient(susan) [input p5]
14. ! [X0] : ((~generous(X0) | patient(X0)) <=> (crea... | 0 |
Everyone who is both strong and not old is not tall or rich.
Everyone who is both kind and not rich is not strong.
Everyone who is not patient or tall is either happy or not curious.
Everyone who is not calm or old is either patient or generous.
Everyone who is either not rich or not quiet is either generous or not qui... | Paul is not kind. | contradiction | (![X]:((strong(X)&~old(X))=>(~tall(X)|rich(X))))&
(![X]:((kind(X)&~rich(X))=>~strong(X)))&
(![X]:((~patient(X)|tall(X))=>(happy(X)<~>~curious(X))))&
(![X]:((~calm(X)|old(X))=>(patient(X)<~>generous(X))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(generous(X)<~>~quiet(X))))&
(((~tall(lucy)|~humble(lucy)))=>(?[X]:(humble(X))))&
(... | ~kind(paul) | [
"p2",
"p4",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8251009886085339199978688
% SZS output start Proof for 8251009886085339199978688
3. ! [X0] : ((tall(X0) | ~patient(X0)) => (happy(X0) <~> ~curious(X0))) [input p2]
5. ! [X0] : ((~rich(X0) <~> ~quiet(X0)) <=> (generous(X0) <~> ~quiet(X0))) [input p4]
13. ! [X0] : (happy(X0) <=> ~generous(X... | 0 |
If alice is either not happy or not humble then alice is not wise or humble.
Everyone who is either quiet or not happy is either not rich or not creative and vice versa.
If john is kind then fred is calm.
Everyone who is both not humble and not rich is either not patient or not old.
Everyone who is not wise or not kind... | Mary is curious. | neutral | (((~happy(alice)<~>~humble(alice)))=>((~wise(alice)|humble(alice))))&
(![X]:((quiet(X)<~>~happy(X))<=>(~rich(X)<~>~creative(X))))&
((kind(john))=>(calm(fred)))&
(![X]:((~humble(X)&~rich(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~wise(X)|~kind(X))=>humble(X)))&
(![X]:((~creative(X)<~>~curious(X))=>~generous(X)))&
((brave(... | curious(mary) | [] | null | 0 |
Everyone who is either not brave or not wise is happy and vice versa.
If someone is either not old or patient then someone is both funny and curious and vice versa.
Everyone who is not old is funny or calm and vice versa.
Everyone who is funny is not happy or happy and vice versa.
If fred is not brave or not patient th... | Fred is not funny. | contradiction | (![X]:((~brave(X)<~>~wise(X))<=>happy(X)))&
((?[X]:((~old(X)<~>patient(X))))<=>(?[X]:((funny(X)&curious(X)))))&
(![X]:(~old(X)<=>(funny(X)|calm(X))))&
(![X]:(funny(X)<=>(~happy(X)|happy(X))))&
(((~brave(fred)|~patient(fred)))=>((~old(fred)&brave(fred))))&
((?[X]:((~strong(X)&~rich(X))))<=>((~patient(mary)&~wise(mary)))... | ~funny(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7147086981546057252314081
% SZS output start Proof for 7147086981546057252314081
4. ! [X0] : (funny(X0) <=> (happy(X0) | ~happy(X0))) [input p3]
24. ~funny(fred) [input hypothesis]
43. ! [X0] : ((funny(X0) | (~happy(X0) & happy(X0))) & ((happy(X0) | ~happy(X0)) | ~funny(X0))) [nnf transfo... | 0 |
Everyone who is either rich or curious is either not creative or not quiet. Everyone who is either not curious or kind is not wise or not funny and vice versa. Everyone who is either kind or not kind is happy. If paul is either curious or quiet then someone is both not humble and brave. Everyone who is not creative or ... | Mary is not creative. | contradiction | (![X]:((rich(X)<~>curious(X))=>(~creative(X)<~>~quiet(X))))&
(![X]:((~curious(X)<~>kind(X))<=>(~wise(X)|~funny(X))))&
(![X]:((kind(X)<~>~kind(X))=>happy(X)))&
(((curious(paul)<~>quiet(paul)))=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((~creative(X)|~rich(X))=>(strong(X)<~>~funny(X))))&
(![X]:((generous(X)<~>~calm(X))<=>(... | ~creative(mary) | [
"p4",
"p5",
"p6",
"p9",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4500359624391826142582814
% SZS output start Proof for 4500359624391826142582814
5. ! [X0] : ((~rich(X0) | ~creative(X0)) => (strong(X0) <~> ~funny(X0))) [input p4]
6. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=> (old(X0) & brave(X0))) [input p5]
7. ! [X0] : ((old(X0) | funny(X0)) <=> (~cre... | 0 |
If someone is not brave then someone is either not tall or not creative and vice versa.
Everyone who is curious is not funny.
If alice is not strong then someone is not curious or calm and vice versa.
Everyone who is either not generous or not wise is both not wise and not generous and vice versa.
Everyone who is not c... | John is wise. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)<~>~creative(X)))))&
(![X]:(curious(X)=>~funny(X)))&
((~strong(alice))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:((~generous(X)<~>~wise(X))<=>(~wise(X)&~generous(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~brave(X)<~>happy(X))))&
(![X]:(~generous(X)<=>(~funny(X)&~creative(X))))&
(![X]:((... | wise(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1265836117842192621598957
% SZS output start Proof for 1265836117842192621598957
4. ! [X0] : ((~generous(X0) <~> ~wise(X0)) <=> (~generous(X0) & ~wise(X0))) [input p3]
23. ~wise(john) [input hypothesis]
43. ! [X0] : ((((wise(X0) | generous(X0)) & (~wise(X0) | ~generous(X0))) | (generous(X... | 0 |
Everyone who is patient is either patient or not old.
If someone is not kind then someone is either generous or not curious.
If susan is either not funny or not rich then someone is either not happy or not strong.
If someone is happy or not creative then someone is both quiet and generous and vice versa.
If mary is not... | Lucy is not old. | contradiction | (![X]:(patient(X)=>(patient(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>(?[X]:((generous(X)<~>~curious(X)))))&
(((~funny(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((happy(X)|~creative(X))))<=>(?[X]:((quiet(X)&generous(X)))))&
((~creative(mary))<=>((funny(fred)<~>~old(fred))))&
(![X]:((~tall(X)|~brave... | ~old(lucy) | [
"p0",
"p5",
"p6",
"p11",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2957091087464500630944691
% SZS output start Proof for 2957091087464500630944691
1. ! [X0] : (patient(X0) => (patient(X0) <~> ~old(X0))) [input p0]
6. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> ~patient(X0)) [input p5]
7. ! [X0] : (~patient(X0) => strong(X0)) [input p6]
12. ! [X0] : (strong(X... | 0 |
Everyone who is both creative and kind is either old or not old. Everyone who is strong is either rich or not rich and vice versa. Everyone who is not creative or not generous is either not brave or curious. Everyone who is either calm or not generous is both not brave and not happy and vice versa. Everyone who is not ... | Mary is not brave. | neutral | (![X]:((creative(X)&kind(X))=>(old(X)<~>~old(X))))&
(![X]:(strong(X)<=>(rich(X)<~>~rich(X))))&
(![X]:((~creative(X)|~generous(X))=>(~brave(X)<~>curious(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~brave(X)&~happy(X))))&
(![X]:((~creative(X)|brave(X))<=>~patient(X)))&
(((creative(paul)|~wise(paul)))<=>(patient(fred)))&
((... | ~brave(mary) | [] | null | 0 |
Everyone who is both creative and not tall is rich and vice versa.
Everyone who is wise is creative or strong.
If fred is quiet or wise then alice is both not curious and not wise.
If paul is both not quiet and strong then mary is humble or happy and vice versa.
Everyone who is patient is either humble or happy.
Everyo... | Alice is not creative. | neutral | (![X]:((creative(X)&~tall(X))<=>rich(X)))&
(![X]:(wise(X)=>(creative(X)|strong(X))))&
(((quiet(fred)|wise(fred)))=>((~curious(alice)&~wise(alice))))&
(((~quiet(paul)&strong(paul)))<=>((humble(mary)|happy(mary))))&
(![X]:(patient(X)=>(humble(X)<~>happy(X))))&
(![X]:(strong(X)=>(~old(X)|~tall(X))))&
(![X]:((~humble(X)|~g... | ~creative(alice) | [] | null | 0 |
If someone is not kind or rich then someone is either old or not kind. Everyone who is both kind and brave is not humble and vice versa. If someone is not patient or not rich then someone is either curious or not generous and vice versa. If someone is both rich and patient then someone is either not creative or old and... | Paul is strong. | neutral | ((?[X]:((~kind(X)|rich(X))))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((kind(X)&brave(X))<=>~humble(X)))&
((?[X]:((~patient(X)|~rich(X))))<=>(?[X]:((curious(X)<~>~generous(X)))))&
((?[X]:((rich(X)&patient(X))))<=>(?[X]:((~creative(X)<~>old(X)))))&
(((kind(fred)&curious(fred)))=>(?[X]:((happy(X)|~generous(X)))))&
(((~patie... | strong(paul) | [] | null | 0 |
If mary is either not strong or not old then john is either not humble or brave and vice versa.
Everyone who is not kind is both happy and not kind.
If someone is both not kind and not rich then someone is not rich or not humble and vice versa.
Everyone who is either calm or tall is humble or creative and vice versa.
I... | Mary is not rich. | contradiction | (((~strong(mary)<~>~old(mary)))<=>((~humble(john)<~>brave(john))))&
(![X]:(~kind(X)=>(happy(X)&~kind(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((calm(X)<~>tall(X))<=>(humble(X)|creative(X))))&
(((~wise(fred)&kind(fred)))<=>(?[X]:(~brave(X))))&
((rich(alice))=>((old(alice)<~>~curious(... | ~rich(mary) | [
"p4",
"p6",
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 877193865379435353876125
% SZS output start Proof for 877193865379435353876125
5. (kind(fred) & ~wise(fred)) <=> ? [X0] : ~brave(X0) [input p4]
7. (rich(mary) <~> curious(mary)) <=> ? [X0] : (~kind(X0) <~> ~rich(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~kind(X0) & ~gen... | 0 |
Everyone who is both calm and not kind is either not patient or not wise and vice versa.
If someone is either not curious or brave then someone is not brave and vice versa.
Everyone who is both not creative and tall is either not tall or humble.
Everyone who is not tall is both humble and strong.
Everyone who is both n... | Paul is not funny. | contradiction | (![X]:((calm(X)&~kind(X))<=>(~patient(X)<~>~wise(X))))&
((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~creative(X)&tall(X))=>(~tall(X)<~>humble(X))))&
(![X]:(~tall(X)=>(humble(X)&strong(X))))&
(![X]:((~funny(X)&~old(X))=>(~wise(X)&~humble(X))))&
(((~strong(susan)&~calm(susan)))=>(?[X]:((~old(X)<~>~h... | ~funny(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6571183192143356004238920
% SZS output start Proof for 6571183192143356004238920
12. ! [X0] : ((~happy(X0) <~> happy(X0)) => (funny(X0) & ~patient(X0))) [input p11]
23. ~funny(paul) [input hypothesis]
39. ! [X0] : ((funny(X0) & ~patient(X0)) | (~happy(X0) <=> happy(X0))) [ennf transformat... | 0 |
Everyone who is not calm or calm is both calm and not old and vice versa. If someone is both brave and not quiet then alice is not generous or patient and vice versa. Everyone who is both strong and rich is both happy and not kind. If someone is both kind and quiet then john is happy or not funny. Everyone who is eithe... | Alice is not creative. | contradiction | (![X]:((~calm(X)|calm(X))<=>(calm(X)&~old(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>((~generous(alice)|patient(alice))))&
(![X]:((strong(X)&rich(X))=>(happy(X)&~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>((happy(john)|~funny(john))))&
(![X]:((humble(X)<~>~strong(X))=>(~happy(X)<~>happy(X))))&
(![X]:((brave(X)|curious(X))=... | ~creative(alice) | [
"p0",
"p5",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 69495587981832931055895
% SZS output start Proof for 69495587981832931055895
1. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (~old(X0) & calm(X0))) [input p0]
6. ! [X0] : ((curious(X0) | brave(X0)) => wise(X0)) [input p5]
9. ! [X0] : ((wise(X0) | rich(X0)) <=> quiet(X0)) [input p8]
11. ! [X0] : (... | 0 |
If susan is either curious or strong then paul is either generous or old and vice versa.
Everyone who is funny is not curious and vice versa.
Everyone who is both tall and not patient is both tall and kind and vice versa.
If someone is both not happy and brave then fred is not curious or not happy.
If john is both crea... | Susan is not tall. | contradiction | (((curious(susan)<~>strong(susan)))<=>((generous(paul)<~>old(paul))))&
(![X]:(funny(X)<=>~curious(X)))&
(![X]:((tall(X)&~patient(X))<=>(tall(X)&kind(X))))&
((?[X]:((~happy(X)&brave(X))))=>((~curious(fred)|~happy(fred))))&
(((creative(john)&~tall(john)))=>(?[X]:((tall(X)<~>strong(X)))))&
(![X]:(happy(X)<=>tall(X)))&
((?... | ~tall(susan) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1731460811010524092998143
% SZS output start Proof for 1731460811010524092998143
6. ! [X0] : (happy(X0) <=> tall(X0)) [input p5]
10. ! [X0] : ((~strong(X0) | ~happy(X0)) <=> (kind(X0) & ~kind(X0))) [input p9]
24. ~tall(susan) [input hypothesis]
44. ! [X0] : ((happy(X0) | ~tall(X0)) & (tal... | 0 |
Everyone who is not generous or not humble is not strong and vice versa.
If mary is both humble and not rich then someone is both creative and kind and vice versa.
Everyone who is either not old or not rich is either old or quiet.
Everyone who is humble or not strong is creative and vice versa.
Everyone who is not wise... | Fred is not humble. | neutral | (![X]:((~generous(X)|~humble(X))<=>~strong(X)))&
(((humble(mary)&~rich(mary)))<=>(?[X]:((creative(X)&kind(X)))))&
(![X]:((~old(X)<~>~rich(X))=>(old(X)<~>quiet(X))))&
(![X]:((humble(X)|~strong(X))<=>creative(X)))&
(![X]:(~wise(X)=>~happy(X)))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)<~>wise(X))))&
((?[X]:((~curious(X)<~>... | ~humble(fred) | [] | null | 0 |
Everyone who is creative or not strong is not happy. Everyone who is both patient and not rich is not happy. Everyone who is either not kind or not curious is either not patient or not old. If alice is kind or not humble then lucy is patient. If someone is either kind or patient then someone is either not kind or tall.... | Fred is happy. | contradiction | (![X]:((creative(X)|~strong(X))=>~happy(X)))&
(![X]:((patient(X)&~rich(X))=>~happy(X)))&
(![X]:((~kind(X)<~>~curious(X))=>(~patient(X)<~>~old(X))))&
(((kind(alice)|~humble(alice)))=>(patient(lucy)))&
((?[X]:((kind(X)<~>patient(X))))=>(?[X]:((~kind(X)<~>tall(X)))))&
(![X]:((old(X)&curious(X))=>(~patient(X)&~funny(X))))&... | happy(fred) | [
"p0",
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 676968758340345779258681
% SZS output start Proof for 676968758340345779258681
1. ! [X0] : ((~strong(X0) | creative(X0)) => ~happy(X0)) [input p0]
7. ! [X0] : (~happy(X0) <=> (kind(X0) & wise(X0))) [input p6]
14. ? [X0] : happy(X0) <=> ? [X0] : (creative(X0) & ~generous(X0)) [input p13]
1... | 0 |
Everyone who is either not quiet or not creative is either not happy or wise and vice versa. Everyone who is kind is either kind or not strong. Everyone who is tall is both not quiet and curious and vice versa. Everyone who is not calm is kind and vice versa. Everyone who is curious or happy is not patient or not calm ... | Fred is not generous. | neutral | (![X]:((~quiet(X)<~>~creative(X))<=>(~happy(X)<~>wise(X))))&
(![X]:(kind(X)=>(kind(X)<~>~strong(X))))&
(![X]:(tall(X)<=>(~quiet(X)&curious(X))))&
(![X]:(~calm(X)<=>kind(X)))&
(![X]:((curious(X)|happy(X))<=>(~patient(X)|~calm(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~patient(X))))&
((?[X]:((~funny(X)&wise(X))))=>(?[X]:((~fun... | ~generous(fred) | [] | null | 0 |
Everyone who is brave or not wise is either happy or patient and vice versa.
Everyone who is not creative or old is both humble and calm.
If susan is both not humble and not wise then john is rich.
Everyone who is strong or humble is old or not humble and vice versa.
If someone is tall then lucy is both brave and not p... | Fred is not wise. | neutral | (![X]:((brave(X)|~wise(X))<=>(happy(X)<~>patient(X))))&
(![X]:((~creative(X)|old(X))=>(humble(X)&calm(X))))&
(((~humble(susan)&~wise(susan)))=>(rich(john)))&
(![X]:((strong(X)|humble(X))<=>(old(X)|~humble(X))))&
((?[X]:(tall(X)))<=>((brave(lucy)&~patient(lucy))))&
(((creative(lucy)&calm(lucy)))<=>(?[X]:((~old(X)<~>humb... | ~wise(fred) | [] | null | 0 |
Everyone who is curious is either not generous or patient.
Everyone who is both not old and creative is tall and vice versa.
If mary is not curious or not quiet then susan is either not humble or not calm and vice versa.
If john is both not humble and not strong then someone is both patient and quiet and vice versa.
Ev... | Alice is not happy. | contradiction | (![X]:(curious(X)=>(~generous(X)<~>patient(X))))&
(![X]:((~old(X)&creative(X))<=>tall(X)))&
(((~curious(mary)|~quiet(mary)))<=>((~humble(susan)<~>~calm(susan))))&
(((~humble(john)&~strong(john)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:(humble(X)=>(happy(X)&~funny(X))))&
(![X]:((wise(X)&~tall(X))<=>(calm(X)<~>funny(X)... | ~happy(alice) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8537739089482297792973934
% SZS output start Proof for 8537739089482297792973934
5. ! [X0] : (humble(X0) => (~funny(X0) & happy(X0))) [input p4]
11. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X0] : (~humble(X0) | ~old(X0)) [input p10]
21. ~happy(alice) [input hypothesis]
22. ? [X0] : (p... | 0 |
If lucy is wise then fred is either kind or brave and vice versa.
Everyone who is both humble and not creative is strong and vice versa.
If someone is not strong or not quiet then paul is tall and vice versa.
If someone is rich then alice is both not patient and not kind.
Everyone who is brave or tall is not funny or n... | Susan is wise. | entailment | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((humble(X)&~creative(X))<=>strong(X)))&
((?[X]:((~strong(X)|~quiet(X))))<=>(tall(paul)))&
((?[X]:(rich(X)))=>((~patient(alice)&~kind(alice))))&
(![X]:((brave(X)|tall(X))=>(~funny(X)|~creative(X))))&
(![X]:((strong(X)&~creative(X))<=>~rich(X)))&
(((funny(paul)|kind(p... | wise(susan) | [
"p1",
"p5",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5165499497899454262645441
% SZS output start Proof for 5165499497899454262645441
2. ! [X0] : ((~creative(X0) & humble(X0)) <=> strong(X0)) [input p1]
6. ! [X0] : ((~creative(X0) & strong(X0)) <=> ~rich(X0)) [input p5]
9. ! [X0] : ((~strong(X0) <~> wise(X0)) => (generous(X0) & ~kind(X0))) ... | 0 |
If someone is either creative or not wise then someone is happy and vice versa. Everyone who is not calm or not brave is kind or funny. Everyone who is not patient is either not humble or quiet. Everyone who is not strong is happy and vice versa. Everyone who is wise or brave is both curious and patient. If someone is ... | Paul is curious. | entailment | ((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|~brave(X))=>(kind(X)|funny(X))))&
(![X]:(~patient(X)=>(~humble(X)<~>quiet(X))))&
(![X]:(~strong(X)<=>happy(X)))&
(![X]:((wise(X)|brave(X))=>(curious(X)&patient(X))))&
((?[X]:((~generous(X)&happy(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
(((~old(l... | curious(paul) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 251051761740063275656340
% SZS output start Proof for 251051761740063275656340
5. ! [X0] : ((brave(X0) | wise(X0)) => (patient(X0) & curious(X0))) [input p4]
12. ! [X0] : ((wise(X0) & happy(X0)) <=> (~brave(X0) | wise(X0))) [input p11]
25. ~curious(paul) [input hypothesis]
31. ! [X0] : ((... | 0 |
Everyone who is both rich and wise is both not wise and quiet. If susan is both not creative and funny then someone is strong. Everyone who is not rich or not generous is not happy or not old. If paul is both brave and not kind then paul is not kind. Everyone who is both not generous and funny is generous or not brave ... | Mary is not wise. | entailment | (![X]:((rich(X)&wise(X))=>(~wise(X)&quiet(X))))&
(((~creative(susan)&funny(susan)))=>(?[X]:(strong(X))))&
(![X]:((~rich(X)|~generous(X))=>(~happy(X)|~old(X))))&
(((brave(paul)&~kind(paul)))=>(~kind(paul)))&
(![X]:((~generous(X)&funny(X))<=>(generous(X)|~brave(X))))&
((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&~humble... | ~wise(mary) | [
"p4",
"p6",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 708132636772778656428955
% SZS output start Proof for 708132636772778656428955
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (~brave(X0) | generous(X0))) [input p4]
7. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~old(X0) | ~funny(X0))) [input p6]
10. ! [X0] : ((wise(X0) <~> generous(X0)) => ~cur... | 0 |
Everyone who is not humble is either not brave or humble and vice versa.
Everyone who is not strong is quiet and vice versa.
Everyone who is not strong or old is both brave and not happy and vice versa.
Everyone who is both not patient and not humble is tall and vice versa.
If someone is both not brave and not tall the... | Fred is quiet. | contradiction | (![X]:(~humble(X)<=>(~brave(X)<~>humble(X))))&
(![X]:(~strong(X)<=>quiet(X)))&
(![X]:((~strong(X)|old(X))<=>(brave(X)&~happy(X))))&
(![X]:((~patient(X)&~humble(X))<=>tall(X)))&
((?[X]:((~brave(X)&~tall(X))))=>(?[X]:(~tall(X))))&
(((~calm(mary)<~>creative(mary)))=>(~curious(alice)))&
(![X]:(calm(X)=>~kind(X)))&
(((~wise... | quiet(fred) | [
"p0",
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7953100782422112792168909
% SZS output start Proof for 7953100782422112792168909
1. ! [X0] : (~humble(X0) <=> (~brave(X0) <~> humble(X0))) [input p0]
2. ! [X0] : (~strong(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : ((old(X0) | ~strong(X0)) <=> (~happy(X0) & brave(X0))) [input p2]
23. quiet(... | 0 |
Everyone who is not brave or creative is creative and vice versa. Everyone who is quiet or not humble is wise. If mary is either kind or brave then fred is both generous and brave and vice versa. If fred is either not brave or not wise then fred is old or not quiet. If someone is calm or not curious then someone is eit... | Mary is not creative. | contradiction | (![X]:((~brave(X)|creative(X))<=>creative(X)))&
(![X]:((quiet(X)|~humble(X))=>wise(X)))&
(((kind(mary)<~>brave(mary)))<=>((generous(fred)&brave(fred))))&
(((~brave(fred)<~>~wise(fred)))=>((old(fred)|~quiet(fred))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:((~humble(X)<~>~wise(X)))))&
((?[X]:((~strong(X)<~>~humble(X))))... | ~creative(mary) | [
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9121062336800053419749661
% SZS output start Proof for 9121062336800053419749661
7. ? [X0] : (~creative(X0) <~> ~tall(X0)) => old(lucy) [input p6]
15. ! [X0] : ((~creative(X0) | curious(X0)) => (tall(X0) & ~happy(X0))) [input p14]
23. ~old(lucy) [input p22]
25. ~creative(mary) [input hypo... | 0 |
If someone is strong then susan is not patient and vice versa. If someone is either happy or not kind then someone is both not happy and not brave and vice versa. Everyone who is not generous is not calm or not happy and vice versa. Everyone who is either quiet or not funny is both happy and quiet and vice versa. If so... | Paul is generous. | contradiction | ((?[X]:(strong(X)))<=>(~patient(susan)))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~generous(X)<=>(~calm(X)|~happy(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>(happy(X)&quiet(X))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(humble(paul)))&
(![X]:((~rich(X)&~brave(X))=>(~brave(X)&~curious(X))... | generous(paul) | [
"p2",
"p3",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2902567441454833888583909
% SZS output start Proof for 2902567441454833888583909
3. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~calm(X0))) [input p2]
4. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (quiet(X0) & happy(X0))) [input p3]
11. ? [X0] : (~quiet(X0) & funny(X0)) <=> (~curious(paul) | ... | 0 |
Everyone who is not calm is not old or not creative.
If someone is not curious or rich then someone is not funny and vice versa.
Everyone who is either not quiet or not rich is either old or humble and vice versa.
Everyone who is creative or generous is either not brave or funny.
If someone is rich then mary is not wis... | John is not wise. | contradiction | (![X]:(~calm(X)=>(~old(X)|~creative(X))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(old(X)<~>humble(X))))&
(![X]:((creative(X)|generous(X))=>(~brave(X)<~>funny(X))))&
((?[X]:(rich(X)))<=>(~wise(mary)))&
((?[X]:((~patient(X)&creative(X))))<=>(quiet(susan)))&
(![X]:((generou... | ~wise(john) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 542793208418625737638862
% SZS output start Proof for 542793208418625737638862
7. ! [X0] : ((~generous(X0) & generous(X0)) <=> (~generous(X0) | kind(X0))) [input p6]
12. ! [X0] : (wise(X0) <=> (~kind(X0) <~> ~generous(X0))) [input p11]
22. ~wise(john) [input hypothesis]
50. ! [X0] : (((~g... | 0 |
If susan is old then paul is not tall or strong.
Everyone who is not generous is both generous and patient and vice versa.
If someone is brave then susan is not rich or curious.
If someone is not calm then paul is curious or creative.
Everyone who is not wise or curious is both not generous and kind and vice versa.
If ... | Mary is not calm. | contradiction | ((old(susan))=>((~tall(paul)|strong(paul))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
((?[X]:(brave(X)))=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~old(john)&happy(john)))<=>((~generous(john)|wise(john)... | ~calm(mary) | [
"p1",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3064005152213275212241687
% SZS output start Proof for 3064005152213275212241687
2. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p1]
8. ! [X0] : (~calm(X0) => (tall(X0) & ~happy(X0))) [input p7]
9. ! [X0] : ((~generous(X0) <~> calm(X0)) <=> funny(X0)) [input p8]
16. fu... | 0 |
If alice is both not strong and brave then fred is quiet or not funny and vice versa.
If someone is not generous then someone is not funny and vice versa.
Everyone who is either kind or not strong is not funny or not rich and vice versa.
If alice is quiet then john is either not kind or tall and vice versa.
Everyone wh... | Alice is calm. | entailment | (((~strong(alice)&brave(alice)))<=>((quiet(fred)|~funny(fred))))&
((?[X]:(~generous(X)))<=>(?[X]:(~funny(X))))&
(![X]:((kind(X)<~>~strong(X))<=>(~funny(X)|~rich(X))))&
((quiet(alice))<=>((~kind(john)<~>tall(john))))&
(![X]:(~brave(X)=>(rich(X)&old(X))))&
(![X]:((funny(X)|quiet(X))=>(wise(X)&humble(X))))&
(![X]:(~happy(... | calm(alice) | [
"p6",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7016621702085248289286523
% SZS output start Proof for 7016621702085248289286523
7. ! [X0] : (~happy(X0) => (wise(X0) & ~old(X0))) [input p6]
8. ! [X0] : (~calm(X0) <=> ~happy(X0)) [input p7]
22. kind(alice) & old(alice) [input p21]
25. ~calm(alice) [input hypothesis]
31. ! [X0] : ((wise(... | 0 |
If someone is not happy then someone is humble. If someone is either tall or brave then someone is both not humble and not tall. If john is not rich then lucy is both not brave and creative and vice versa. Everyone who is not creative or funny is old or not funny and vice versa. If someone is not wise or not rich then ... | Alice is not patient. | entailment | ((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((tall(X)<~>brave(X))))=>(?[X]:((~humble(X)&~tall(X)))))&
((~rich(john))<=>((~brave(lucy)&creative(lucy))))&
(![X]:((~creative(X)|funny(X))<=>(old(X)|~funny(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~brave(susan)&~humble(susan))))&
(![X]:(~old(X)<=>patient(X)))&
(![X]:((~... | ~patient(alice) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2761907546120902931241170
% SZS output start Proof for 2761907546120902931241170
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (~funny(X0) | old(X0))) [input p3]
5. ? [X0] : (~rich(X0) | ~wise(X0)) <=> (~humble(susan) & ~brave(susan)) [input p4]
6. ! [X0] : (~old(X0) <=> patient(X0)) [inpu... | 0 |
Everyone who is kind is creative or old.
Everyone who is tall is not wise and vice versa.
Everyone who is not curious or creative is not calm or happy and vice versa.
Everyone who is both not happy and not generous is both curious and humble and vice versa.
If fred is calm or not tall then someone is rich or brave.
If ... | Mary is not tall. | entailment | (![X]:(kind(X)=>(creative(X)|old(X))))&
(![X]:(tall(X)<=>~wise(X)))&
(![X]:((~curious(X)|creative(X))<=>(~calm(X)|happy(X))))&
(![X]:((~happy(X)&~generous(X))<=>(curious(X)&humble(X))))&
(((calm(fred)|~tall(fred)))=>(?[X]:((rich(X)|brave(X)))))&
((?[X]:((~happy(X)<~>patient(X))))<=>(?[X]:((~old(X)|~generous(X)))))&
(![... | ~tall(mary) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8041582887171195511521018
% SZS output start Proof for 8041582887171195511521018
2. ! [X0] : (tall(X0) <=> ~wise(X0)) [input p1]
18. kind(mary) & wise(mary) [input p17]
25. tall(mary) [input hypothesis]
33. ! [X0] : ((tall(X0) | wise(X0)) & (~wise(X0) | ~tall(X0))) [nnf transformation 2]
... | 0 |
Everyone who is both brave and not strong is both quiet and humble. If mary is not generous then alice is wise or not wise. If john is brave or not generous then paul is either brave or not creative. Everyone who is both funny and not kind is both not wise and not brave. If someone is either not curious or patient then... | Susan is funny. | neutral | (![X]:((brave(X)&~strong(X))=>(quiet(X)&humble(X))))&
((~generous(mary))=>((wise(alice)|~wise(alice))))&
(((brave(john)|~generous(john)))=>((brave(paul)<~>~creative(paul))))&
(![X]:((funny(X)&~kind(X))=>(~wise(X)&~brave(X))))&
((?[X]:((~curious(X)<~>patient(X))))<=>(~humble(mary)))&
(![X]:((quiet(X)|~kind(X))<=>(~patie... | funny(susan) | [] | null | 0 |
If someone is not generous then someone is tall.
Everyone who is either patient or curious is not kind and vice versa.
If mary is creative or not rich then someone is old or not happy and vice versa.
If alice is not rich or calm then someone is either not calm or happy.
Everyone who is either kind or humble is not funn... | John is old. | contradiction | ((?[X]:(~generous(X)))=>(?[X]:(tall(X))))&
(![X]:((patient(X)<~>curious(X))<=>~kind(X)))&
(((creative(mary)|~rich(mary)))<=>(?[X]:((old(X)|~happy(X)))))&
(((~rich(alice)|calm(alice)))=>(?[X]:((~calm(X)<~>happy(X)))))&
(![X]:((kind(X)<~>humble(X))=>(~funny(X)|~old(X))))&
((?[X]:((~old(X)&~humble(X))))<=>(?[X]:(brave(X))... | old(john) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4389868495204027229956660
% SZS output start Proof for 4389868495204027229956660
5. ! [X0] : ((kind(X0) <~> humble(X0)) => (~old(X0) | ~funny(X0))) [input p4]
9. ! [X0] : ((kind(X0) & ~humble(X0)) <=> (old(X0) | ~calm(X0))) [input p8]
15. ! [X0] : ((~funny(X0) | wise(X0)) => (~generous(X0... | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Paul is generous. | contradiction | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | generous(paul) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 652493368396141437428966
% SZS output start Proof for 652493368396141437428966
1. ? [X0] : (curious(X0) | ~wise(X0)) => rich(lucy) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (~kind(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [inpu... | 0 |
If someone is kind then alice is both not kind and happy.
If mary is either not kind or rich then alice is both brave and not tall.
Everyone who is both rich and not humble is both quiet and not creative and vice versa.
If someone is both not brave and happy then lucy is quiet or creative.
Everyone who is not kind is b... | Lucy is not strong. | neutral | ((?[X]:(kind(X)))=>((~kind(alice)&happy(alice))))&
(((~kind(mary)<~>rich(mary)))=>((brave(alice)&~tall(alice))))&
(![X]:((rich(X)&~humble(X))<=>(quiet(X)&~creative(X))))&
((?[X]:((~brave(X)&happy(X))))=>((quiet(lucy)|creative(lucy))))&
(![X]:(~kind(X)<=>(strong(X)&~curious(X))))&
(![X]:(happy(X)=>(~tall(X)<~>humble(X))... | ~strong(lucy) | [] | null | 0 |
If john is not kind then alice is quiet.
Everyone who is both not strong and happy is either calm or not old and vice versa.
Everyone who is both not strong and not calm is both strong and funny.
If someone is either not old or funny then mary is not tall or not rich.
Everyone who is both patient and funny is generous ... | Lucy is curious. | contradiction | ((~kind(john))=>(quiet(alice)))&
(![X]:((~strong(X)&happy(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~strong(X)&~calm(X))=>(strong(X)&funny(X))))&
((?[X]:((~old(X)<~>funny(X))))=>((~tall(mary)|~rich(mary))))&
(![X]:((patient(X)&funny(X))<=>generous(X)))&
(![X]:(~brave(X)=>(~creative(X)|~brave(X))))&
(((~tall(mary)<~>happy(ma... | curious(lucy) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4402720676677538536969987
% SZS output start Proof for 4402720676677538536969987
14. ! [X0] : ((old(X0) & ~curious(X0)) <=> ~calm(X0)) [input p13]
16. ! [X0] : (calm(X0) <=> (~rich(X0) & rich(X0))) [input p15]
23. curious(lucy) [input hypothesis]
61. ! [X0] : (((old(X0) & ~curious(X0)) | ... | 0 |
If paul is not wise then someone is either tall or funny.
If susan is not quiet then fred is either not brave or not calm.
Everyone who is calm or rich is humble and vice versa.
Everyone who is not brave or calm is both not happy and funny.
Everyone who is both not generous and funny is happy or brave and vice versa.
I... | Alice is humble. | entailment | ((~wise(paul))=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(fred))))&
(![X]:((calm(X)|rich(X))<=>humble(X)))&
(![X]:((~brave(X)|calm(X))=>(~happy(X)&funny(X))))&
(![X]:((~generous(X)&funny(X))<=>(happy(X)|brave(X))))&
(((~creative(fred)|quiet(fred)))<=>(?[X]:(patient(X))))&
(![X]:(generous(... | humble(alice) | [
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8241761714061394517184904
% SZS output start Proof for 8241761714061394517184904
4. ! [X0] : ((calm(X0) | ~brave(X0)) => (funny(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (brave(X0) | happy(X0))) [input p4]
8. ! [X0] : (happy(X0) => (~brave(X0) | ~funny(X0)... | 0 |
If someone is both patient and not calm then someone is both tall and not tall. If someone is funny then alice is strong or not generous. Everyone who is not strong or kind is both calm and not old. Everyone who is not brave or not strong is old or wise. If someone is not curious or old then someone is not quiet. If so... | Paul is not patient. | entailment | ((?[X]:((patient(X)&~calm(X))))=>(?[X]:((tall(X)&~tall(X)))))&
((?[X]:(funny(X)))=>((strong(alice)|~generous(alice))))&
(![X]:((~strong(X)|kind(X))=>(calm(X)&~old(X))))&
(![X]:((~brave(X)|~strong(X))=>(old(X)|wise(X))))&
((?[X]:((~curious(X)|old(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(wise(X)))=>((~patient(paul)|curious(pa... | ~patient(paul) | [
"p0",
"p5",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8129677860333940711679639
% SZS output start Proof for 8129677860333940711679639
1. ? [X0] : (~calm(X0) & patient(X0)) => ? [X0] : (~tall(X0) & tall(X0)) [input p0]
6. ? [X0] : wise(X0) => (curious(paul) | ~patient(paul)) [input p5]
12. ! [X0] : (curious(X0) => ~calm(X0)) [input p11]
20. ... | 0 |
Everyone who is both brave and curious is either not funny or old and vice versa.
Everyone who is both happy and not generous is either strong or tall.
Everyone who is either kind or not humble is both not creative and creative and vice versa.
Everyone who is both humble and creative is both tall and kind and vice vers... | John is not funny. | contradiction | (![X]:((brave(X)&curious(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)&~generous(X))=>(strong(X)<~>tall(X))))&
(![X]:((kind(X)<~>~humble(X))<=>(~creative(X)&creative(X))))&
(![X]:((humble(X)&creative(X))<=>(tall(X)&kind(X))))&
(((~brave(john)<~>~kind(john)))=>(quiet(alice)))&
(![X]:((kind(X)<~>patient(X))=>(creative(X... | ~funny(john) | [
"p0",
"p2",
"p3",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7169024647553865819107795
% SZS output start Proof for 7169024647553865819107795
1. ! [X0] : ((curious(X0) & brave(X0)) <=> (~funny(X0) <~> old(X0))) [input p0]
3. ! [X0] : ((kind(X0) <~> ~humble(X0)) <=> (creative(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((creative(X0) & humble(X0)) ... | 0 |
Everyone who is not patient or wise is both old and not rich. Everyone who is not humble or quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. ... | Alice is funny. | neutral | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(... | funny(alice) | [] | null | 0 |
Everyone who is creative is not strong.
Everyone who is patient is kind or not creative.
Everyone who is both not brave and wise is not wise or not patient.
Everyone who is either tall or calm is brave or quiet and vice versa.
If alice is either strong or not wise then alice is both rich and not funny.
If someone is ei... | Paul is not happy. | entailment | (![X]:(creative(X)=>~strong(X)))&
(![X]:(patient(X)=>(kind(X)|~creative(X))))&
(![X]:((~brave(X)&wise(X))=>(~wise(X)|~patient(X))))&
(![X]:((tall(X)<~>calm(X))<=>(brave(X)|quiet(X))))&
(((strong(alice)<~>~wise(alice)))=>((rich(alice)&~funny(alice))))&
((?[X]:((~calm(X)<~>curious(X))))<=>((~curious(lucy)|~patient(lucy))... | ~happy(paul) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 11898208351901178218223
% SZS output start Proof for 11898208351901178218223
16. ? [X0] : (creative(X0) | ~calm(X0)) <=> (~brave(paul) & ~happy(paul)) [input p15]
20. ~calm(mary) [input p19]
25. happy(paul) [input hypothesis]
59. (? [X0] : (creative(X0) | ~calm(X0)) | (brave(paul) | happy... | 0 |
Everyone who is both not patient and generous is brave and vice versa.
Everyone who is happy is old or not old and vice versa.
Everyone who is brave is not calm and vice versa.
If someone is calm then mary is both tall and strong.
If someone is not generous then susan is creative or tall.
Everyone who is not generous i... | Alice is not calm. | contradiction | (![X]:((~patient(X)&generous(X))<=>brave(X)))&
(![X]:(happy(X)<=>(old(X)|~old(X))))&
(![X]:(brave(X)<=>~calm(X)))&
((?[X]:(calm(X)))=>((tall(mary)&strong(mary))))&
((?[X]:(~generous(X)))=>((creative(susan)|tall(susan))))&
(![X]:(~generous(X)<=>(~kind(X)<~>~generous(X))))&
(![X]:((~curious(X)|creative(X))<=>(~old(X)<~>~... | ~calm(alice) | [
"p0",
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9116128794198885197654806
% SZS output start Proof for 9116128794198885197654806
1. ! [X0] : ((generous(X0) & ~patient(X0)) <=> brave(X0)) [input p0]
3. ! [X0] : (brave(X0) <=> ~calm(X0)) [input p2]
23. patient(alice) [input p22]
24. ~calm(alice) [input hypothesis]
37. ! [X0] : (((generou... | 0 |
Everyone who is not kind or not patient is not patient or not creative and vice versa. Everyone who is both not quiet and not calm is curious. Everyone who is either not humble or not quiet is old and vice versa. If someone is either not happy or curious then fred is either happy or generous and vice versa. Everyone wh... | Paul is not patient. | neutral | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)|~creative(X))))&
(![X]:((~quiet(X)&~calm(X))=>curious(X)))&
(![X]:((~humble(X)<~>~quiet(X))<=>old(X)))&
((?[X]:((~happy(X)<~>curious(X))))<=>((happy(fred)<~>generous(fred))))&
(![X]:((creative(X)<~>~rich(X))=>(wise(X)&~kind(X))))&
((?[X]:((patient(X)&~funny(X))))<=>((~funny(... | ~patient(paul) | [] | null | 0 |
Everyone who is both patient and funny is both not creative and tall and vice versa. Everyone who is not quiet or funny is either not calm or not humble. If someone is not old then fred is not calm or strong. Everyone who is tall or not tall is either rich or not quiet. If someone is either not kind or humble then susa... | Fred is not calm. | entailment | (![X]:((patient(X)&funny(X))<=>(~creative(X)&tall(X))))&
(![X]:((~quiet(X)|funny(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:(~old(X)))=>((~calm(fred)|strong(fred))))&
(![X]:((tall(X)|~tall(X))=>(rich(X)<~>~quiet(X))))&
((?[X]:((~kind(X)<~>humble(X))))=>((creative(susan)&~generous(susan))))&
(![X]:((tall(X)|kind(X))=>(~kind... | ~calm(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p11",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 487782321659084479852538
% SZS output start Proof for 487782321659084479852538
2. ! [X0] : ((funny(X0) | ~quiet(X0)) => (~calm(X0) <~> ~humble(X0))) [input p1]
3. ? [X0] : ~old(X0) => (strong(fred) | ~calm(fred)) [input p2]
4. ! [X0] : ((~tall(X0) | tall(X0)) => (rich(X0) <~> ~quiet(X0)))... | 0 |
If someone is either rich or funny then paul is both not generous and rich.
Everyone who is strong is both not rich and not old and vice versa.
If alice is both quiet and not funny then someone is brave and vice versa.
Everyone who is either old or not calm is both patient and not patient and vice versa.
Everyone who i... | Fred is funny. | entailment | ((?[X]:((rich(X)<~>funny(X))))=>((~generous(paul)&rich(paul))))&
(![X]:(strong(X)<=>(~rich(X)&~old(X))))&
(((quiet(alice)&~funny(alice)))<=>(?[X]:(brave(X))))&
(![X]:((old(X)<~>~calm(X))<=>(patient(X)&~patient(X))))&
(![X]:(creative(X)=>(~quiet(X)|~wise(X))))&
(((old(lucy)&~strong(lucy)))<=>(?[X]:(~rich(X))))&
(((~rich... | funny(fred) | [
"p0",
"p1",
"p3",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1225127150032789343712321
% SZS output start Proof for 1225127150032789343712321
1. ? [X0] : (rich(X0) <~> funny(X0)) => (rich(paul) & ~generous(paul)) [input p0]
2. ! [X0] : (strong(X0) <=> (~old(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> ~calm(X0)) <=> (~patient(X0) & patien... | 0 |
Everyone who is both calm and funny is not brave.
If paul is kind then someone is either not curious or not tall.
Everyone who is both brave and patient is happy.
If susan is either not humble or humble then fred is both not curious and kind and vice versa.
If mary is both old and patient then someone is either funny o... | Fred is humble. | contradiction | (![X]:((calm(X)&funny(X))=>~brave(X)))&
((kind(paul))=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:((brave(X)&patient(X))=>happy(X)))&
(((~humble(susan)<~>humble(susan)))<=>((~curious(fred)&kind(fred))))&
(((old(mary)&patient(mary)))=>(?[X]:((funny(X)<~>creative(X)))))&
((strong(alice))=>((kind(susan)|creative(susan))))&... | humble(fred) | [
"p3",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1901449676173732199727415
% SZS output start Proof for 1901449676173732199727415
4. (~humble(susan) <~> humble(susan)) <=> (kind(fred) & ~curious(fred)) [input p3]
10. ! [X0] : (humble(X0) => (curious(X0) & ~kind(X0))) [input p9]
20. humble(susan) & ~quiet(susan) [input p19]
24. humble(fr... | 0 |
If someone is curious then someone is not curious and vice versa.
If someone is either not patient or not brave then someone is either not funny or old and vice versa.
Everyone who is both not calm and humble is calm or not brave and vice versa.
If someone is either old or tall then someone is both not creative and bra... | Fred is tall. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((~patient(X)<~>~brave(X))))<=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)|~brave(X))))&
((?[X]:((old(X)<~>tall(X))))=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((wise(X)|tall(X))=>(~generous(X)&~humble(X))))&
((~generous(lucy))<=>(?[X]:((hu... | tall(fred) | [
"p2",
"p4",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1994180902632779027324712
% SZS output start Proof for 1994180902632779027324712
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (~brave(X0) | calm(X0))) [input p2]
5. ! [X0] : ((tall(X0) | wise(X0)) => (~humble(X0) & ~generous(X0))) [input p4]
8. ! [X0] : ((~tall(X0) | ~humble(X0)) => (~happy(... | 0 |
Everyone who is strong or not wise is not rich.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind and vice versa.
Everyone... | Alice is not happy. | neutral | (![X]:((strong(X)|~wise(X))=>~rich(X)))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(generous(X... | ~happy(alice) | [] | null | 0 |
Everyone who is not kind is rich or not calm and vice versa.
Everyone who is both curious and quiet is not tall and vice versa.
Everyone who is either happy or old is happy or quiet and vice versa.
Everyone who is either wise or creative is both not patient and not happy.
Everyone who is both not curious and not strong... | Mary is not kind. | entailment | (![X]:(~kind(X)<=>(rich(X)|~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>~tall(X)))&
(![X]:((happy(X)<~>old(X))<=>(happy(X)|quiet(X))))&
(![X]:((wise(X)<~>creative(X))=>(~patient(X)&~happy(X))))&
(![X]:((~curious(X)&~strong(X))<=>~old(X)))&
((?[X]:(patient(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:((~patient(X)|rich... | ~kind(mary) | [
"p0",
"p4",
"p6",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5889910052449298820198598
% SZS output start Proof for 5889910052449298820198598
1. ! [X0] : (~kind(X0) <=> (~calm(X0) | rich(X0))) [input p0]
5. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : ((rich(X0) | ~patient(X0)) => (calm(X0) <~> old(X0))) [input p6]
8.... | 0 |
Everyone who is both not generous and not patient is either brave or not humble. Everyone who is both not patient and not calm is wise or not curious and vice versa. If lucy is either not generous or not wise then someone is not generous or funny and vice versa. Everyone who is both not strong and not curious is not cr... | Fred is not happy. | contradiction | (![X]:((~generous(X)&~patient(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~patient(X)&~calm(X))<=>(wise(X)|~curious(X))))&
(((~generous(lucy)<~>~wise(lucy)))<=>(?[X]:((~generous(X)|funny(X)))))&
(![X]:((~strong(X)&~curious(X))=>(~creative(X)|~old(X))))&
(((~strong(john)&kind(john)))=>((~humble(susan)<~>~creative(susan))))&... | ~happy(fred) | [
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8253810707846278561647847
% SZS output start Proof for 8253810707846278561647847
9. ! [X0] : (~happy(X0) => (~happy(X0) <~> ~calm(X0))) [input p8]
11. ! [X0] : (strong(X0) <=> (tall(X0) | calm(X0))) [input p10]
20. ~strong(fred) | ~calm(fred) [input p19]
24. ~happy(fred) [input hypothesis... | 0 |
If paul is either patient or not rich then someone is humble.
Everyone who is not strong is both quiet and generous and vice versa.
Everyone who is either creative or old is patient.
If alice is either kind or not strong then someone is both quiet and calm.
If susan is quiet then someone is not brave or not old.
Everyo... | Alice is not brave. | contradiction | (((patient(paul)<~>~rich(paul)))=>(?[X]:(humble(X))))&
(![X]:(~strong(X)<=>(quiet(X)&generous(X))))&
(![X]:((creative(X)<~>old(X))=>patient(X)))&
(((kind(alice)<~>~strong(alice)))=>(?[X]:((quiet(X)&calm(X)))))&
((quiet(susan))=>(?[X]:((~brave(X)|~old(X)))))&
(![X]:((rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![... | ~brave(alice) | [
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5338512890282925168382587
% SZS output start Proof for 5338512890282925168382587
7. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~humble(X0) | calm(X0))) [input p6]
11. ! [X0] : ((strong(X0) & generous(X0)) <=> (~brave(X0) | ~calm(X0))) [input p10]
14. ! [X0] : ((~happy(X0) | ~patient(X0)) <... | 0 |
Everyone who is both funny and old is not patient or strong and vice versa.
If someone is both tall and not curious then someone is not strong or not happy and vice versa.
Everyone who is calm or kind is both tall and not rich and vice versa.
If susan is both not wise and not happy then someone is not strong.
If fred i... | Lucy is patient. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)|strong(X))))&
((?[X]:((tall(X)&~curious(X))))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((calm(X)|kind(X))<=>(tall(X)&~rich(X))))&
(((~wise(susan)&~happy(susan)))=>(?[X]:(~strong(X))))&
(((curious(fred)|kind(fred)))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~old(X)&happy(X))=>rich(... | patient(lucy) | [] | null | 0 |
If someone is both not calm and not happy then john is both not brave and not tall and vice versa.
Everyone who is brave or not brave is patient or generous and vice versa.
Everyone who is old or not patient is both brave and not calm and vice versa.
If someone is both rich and humble then alice is both not funny and h... | Susan is not tall. | entailment | ((?[X]:((~calm(X)&~happy(X))))<=>((~brave(john)&~tall(john))))&
(![X]:((brave(X)|~brave(X))<=>(patient(X)|generous(X))))&
(![X]:((old(X)|~patient(X))<=>(brave(X)&~calm(X))))&
((?[X]:((rich(X)&humble(X))))=>((~funny(alice)&happy(alice))))&
((?[X]:(wise(X)))<=>(quiet(alice)))&
(((~strong(john)&~patient(john)))<=>(?[X]:((... | ~tall(susan) | [
"p0",
"p2",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7008623601470369877192602
% SZS output start Proof for 7008623601470369877192602
1. ? [X0] : (~happy(X0) & ~calm(X0)) <=> (~tall(john) & ~brave(john)) [input p0]
3. ! [X0] : ((~patient(X0) | old(X0)) <=> (~calm(X0) & brave(X0))) [input p2]
6. (~patient(john) & ~strong(john)) <=> ? [X0] : ... | 0 |
If someone is rich or not strong then john is not humble and vice versa.
If someone is not creative then someone is both not wise and brave.
Everyone who is curious is patient or not generous and vice versa.
If mary is either not calm or calm then lucy is not wise or calm and vice versa.
If susan is both wise and creat... | Alice is rich. | contradiction | ((?[X]:((rich(X)|~strong(X))))<=>(~humble(john)))&
((?[X]:(~creative(X)))=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:(curious(X)<=>(patient(X)|~generous(X))))&
(((~calm(mary)<~>calm(mary)))<=>((~wise(lucy)|calm(lucy))))&
(((wise(susan)&creative(susan)))<=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:(~strong(X)<=>~funny(X)))&
((?[X... | rich(alice) | [
"p5",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5768005932352085425179608
% SZS output start Proof for 5768005932352085425179608
6. ! [X0] : (~strong(X0) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((~brave(X0) <~> rich(X0)) => strong(X0)) [input p7]
13. (~funny(lucy) | ~quiet(lucy)) <=> (brave(alice) & ~calm(alice)) [input p12]
15. ! [X0] ... | 0 |
Everyone who is either not tall or rich is tall or wise.
Everyone who is both not rich and old is tall.
Everyone who is either not curious or not patient is not wise or kind.
If someone is not brave then someone is not rich and vice versa.
Everyone who is not tall is brave and vice versa.
If someone is funny then someo... | Lucy is not kind. | entailment | (![X]:((~tall(X)<~>rich(X))=>(tall(X)|wise(X))))&
(![X]:((~rich(X)&old(X))=>tall(X)))&
(![X]:((~curious(X)<~>~patient(X))=>(~wise(X)|kind(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~tall(X)<=>brave(X)))&
((?[X]:(funny(X)))=>(?[X]:((strong(X)<~>funny(X)))))&
((?[X]:((~funny(X)|kind(X))))=>(?[X]:((~creative(... | ~kind(lucy) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7621632973206885684682698
% SZS output start Proof for 7621632973206885684682698
10. ! [X0] : ((~old(X0) | funny(X0)) => (calm(X0) & ~kind(X0))) [input p9]
12. ! [X0] : (kind(X0) => funny(X0)) [input p11]
25. kind(lucy) [input hypothesis]
41. ! [X0] : ((calm(X0) & ~kind(X0)) | (old(X0) & ... | 0 |
Everyone who is both brave and not patient is not strong and vice versa.
Everyone who is either not creative or tall is not kind or happy.
If paul is either not curious or happy then someone is both rich and not generous.
If someone is both curious and not kind then alice is not brave or not creative and vice versa.
Ev... | Alice is curious. | entailment | (![X]:((brave(X)&~patient(X))<=>~strong(X)))&
(![X]:((~creative(X)<~>tall(X))=>(~kind(X)|happy(X))))&
(((~curious(paul)<~>happy(paul)))=>(?[X]:((rich(X)&~generous(X)))))&
((?[X]:((curious(X)&~kind(X))))<=>((~brave(alice)|~creative(alice))))&
(![X]:(~old(X)<=>(~calm(X)&~wise(X))))&
((?[X]:((humble(X)|funny(X))))<=>(?[X]... | curious(alice) | [
"p4",
"p6",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1805846940754541080914061
% SZS output start Proof for 1805846940754541080914061
5. ! [X0] : (~old(X0) <=> (~wise(X0) & ~calm(X0))) [input p4]
7. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (happy(X0) & old(X0))) [input p6]
12. ! [X0] : (~happy(X0) <=> (~curious(X0) <~> ~kind(X0))) [input p11]... | 0 |
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