premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not happy is both not calm and creative and vice versa.
If john is either quiet or not kind then paul is either brave or not strong.
Everyone who is either not happy or not quiet is generous or tall.
Everyone who is either generous or not tall is rich and vice versa.
If susan is not kind or humble then ... | Mary is humble. | contradiction | (![X]:(~happy(X)<=>(~calm(X)&creative(X))))&
(((quiet(john)<~>~kind(john)))=>((brave(paul)<~>~strong(paul))))&
(![X]:((~happy(X)<~>~quiet(X))=>(generous(X)|tall(X))))&
(![X]:((generous(X)<~>~tall(X))<=>rich(X)))&
(((~kind(susan)|humble(susan)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]... | humble(mary) | [
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1414226419861130073199588
% SZS output start Proof for 1414226419861130073199588
8. ! [X0] : ((happy(X0) & creative(X0)) <=> (humble(X0) & tall(X0))) [input p7]
15. ! [X0] : ((~curious(X0) | ~happy(X0)) => (brave(X0) & tall(X0))) [input p14]
18. ~happy(mary) [input p17]
25. humble(mary) [... | 0 |
Everyone who is both not creative and not strong is both happy and not tall and vice versa.
If lucy is either not generous or creative then someone is both not kind and not quiet.
If alice is either not rich or not patient then someone is not strong and vice versa.
Everyone who is either not curious or tall is not curi... | John is not brave. | neutral | (![X]:((~creative(X)&~strong(X))<=>(happy(X)&~tall(X))))&
(((~generous(lucy)<~>creative(lucy)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((~rich(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)<~>tall(X))=>(~curious(X)|~strong(X))))&
(((~funny(susan)|quiet(susan)))=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)<... | ~brave(john) | [] | null | 0 |
If someone is humble or brave then someone is creative and vice versa.
If lucy is both not patient and not creative then susan is not calm or not funny and vice versa.
Everyone who is not brave or not wise is not strong or wise.
Everyone who is both not calm and calm is funny or patient and vice versa.
Everyone who is ... | Fred is curious. | entailment | ((?[X]:((humble(X)|brave(X))))<=>(?[X]:(creative(X))))&
(((~patient(lucy)&~creative(lucy)))<=>((~calm(susan)|~funny(susan))))&
(![X]:((~brave(X)|~wise(X))=>(~strong(X)|wise(X))))&
(![X]:((~calm(X)&calm(X))<=>(funny(X)|patient(X))))&
(![X]:((~curious(X)|generous(X))=>(funny(X)|quiet(X))))&
((?[X]:((wise(X)|~rich(X))))<=... | curious(fred) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3272894561642336211851028
% SZS output start Proof for 3272894561642336211851028
4. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (patient(X0) | funny(X0))) [input p3]
5. ! [X0] : ((generous(X0) | ~curious(X0)) => (quiet(X0) | funny(X0))) [input p4]
8. ! [X0] : ((kind(X0) | ~patient(X0)) => (tall(... | 0 |
Everyone who is either not old or not funny is not old and vice versa.
Everyone who is not happy or creative is funny or not brave and vice versa.
Everyone who is kind is either happy or not humble and vice versa.
If someone is not patient or quiet then alice is curious or creative and vice versa.
If alice is both stro... | Alice is rich. | entailment | (![X]:((~old(X)<~>~funny(X))<=>~old(X)))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)|~brave(X))))&
(![X]:(kind(X)<=>(happy(X)<~>~humble(X))))&
((?[X]:((~patient(X)|quiet(X))))<=>((curious(alice)|creative(alice))))&
(((strong(alice)&~kind(alice)))=>(?[X]:((quiet(X)<~>~curious(X)))))&
(![X]:((~humble(X)&~curious(X))<=>(~... | rich(alice) | [
"p0",
"p1",
"p2",
"p8",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7360425713694863473649872
% SZS output start Proof for 7360425713694863473649872
1. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> ~old(X0)) [input p0]
2. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (~brave(X0) | funny(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> (happy(X0) <~> ~humble(X0))) [input ... | 0 |
Everyone who is both not creative and not kind is not patient or wise.
Everyone who is kind is both not generous and creative and vice versa.
Everyone who is not quiet or not curious is both not funny and not strong.
If someone is strong or quiet then mary is both rich and tall.
Everyone who is both funny and happy is ... | Mary is not humble. | neutral | (![X]:((~creative(X)&~kind(X))=>(~patient(X)|wise(X))))&
(![X]:(kind(X)<=>(~generous(X)&creative(X))))&
(![X]:((~quiet(X)|~curious(X))=>(~funny(X)&~strong(X))))&
((?[X]:((strong(X)|quiet(X))))=>((rich(mary)&tall(mary))))&
(![X]:((funny(X)&happy(X))<=>(~happy(X)&~calm(X))))&
(![X]:((happy(X)&funny(X))=>(happy(X)&~rich(X... | ~humble(mary) | [] | null | 0 |
If someone is wise or not quiet then someone is tall and vice versa.
Everyone who is both curious and not calm is both not creative and not rich and vice versa.
Everyone who is not tall is either generous or brave.
If susan is either not rich or rich then john is not kind and vice versa.
If someone is either not curiou... | Mary is not old. | contradiction | ((?[X]:((wise(X)|~quiet(X))))<=>(?[X]:(tall(X))))&
(![X]:((curious(X)&~calm(X))<=>(~creative(X)&~rich(X))))&
(![X]:(~tall(X)=>(generous(X)<~>brave(X))))&
(((~rich(susan)<~>rich(susan)))<=>(~kind(john)))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:(kind(X))))&
(![X]:((tall(X)<~>humble(X))<=>~rich(X)))&
(![X]:((kind(X)&cu... | ~old(mary) | [
"p2",
"p9",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6562566613649868738792553
% SZS output start Proof for 6562566613649868738792553
3. ! [X0] : (~tall(X0) => (generous(X0) <~> brave(X0))) [input p2]
10. ? [X0] : (~calm(X0) & ~tall(X0)) <=> ? [X0] : ~strong(X0) [input p9]
11. ! [X0] : ((curious(X0) & tall(X0)) <=> quiet(X0)) [input p10]
13... | 0 |
Everyone who is not happy or not funny is both quiet and not kind.
Everyone who is wise or not brave is tall or not rich.
Everyone who is both not curious and patient is both patient and curious and vice versa.
If paul is not happy or not curious then someone is either not funny or strong.
Everyone who is either not cr... | John is not rich. | neutral | (![X]:((~happy(X)|~funny(X))=>(quiet(X)&~kind(X))))&
(![X]:((wise(X)|~brave(X))=>(tall(X)|~rich(X))))&
(![X]:((~curious(X)&patient(X))<=>(patient(X)&curious(X))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((brave(X)<~>~w... | ~rich(john) | [] | null | 0 |
Everyone who is quiet is both not patient and quiet. Everyone who is calm is quiet. If alice is strong then paul is either calm or not funny and vice versa. Everyone who is both not tall and rich is both kind and patient. If mary is not generous then fred is calm. Everyone who is both not calm and patient is brave. Eve... | Lucy is wise. | neutral | (![X]:(quiet(X)=>(~patient(X)&quiet(X))))&
(![X]:(calm(X)=>quiet(X)))&
((strong(alice))<=>((calm(paul)<~>~funny(paul))))&
(![X]:((~tall(X)&rich(X))=>(kind(X)&patient(X))))&
((~generous(mary))=>(calm(fred)))&
(![X]:((~calm(X)&patient(X))=>brave(X)))&
(![X]:((~old(X)<~>old(X))=>(funny(X)|~generous(X))))&
(![X]:(~curious(... | wise(lucy) | [] | null | 0 |
If paul is either happy or not quiet then lucy is rich or tall and vice versa.
Everyone who is either not humble or not strong is either calm or not old.
Everyone who is either not generous or rich is not old or not patient.
Everyone who is both funny and not funny is humble or not curious and vice versa.
If mary is st... | Paul is not strong. | entailment | (((happy(paul)<~>~quiet(paul)))<=>((rich(lucy)|tall(lucy))))&
(![X]:((~humble(X)<~>~strong(X))=>(calm(X)<~>~old(X))))&
(![X]:((~generous(X)<~>rich(X))=>(~old(X)|~patient(X))))&
(![X]:((funny(X)&~funny(X))<=>(humble(X)|~curious(X))))&
(((strong(mary)|~creative(mary)))<=>(?[X]:((~patient(X)<~>~generous(X)))))&
(![X]:((~o... | ~strong(paul) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p11",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3074646624818222980708055
% SZS output start Proof for 3074646624818222980708055
2. ! [X0] : ((~humble(X0) <~> ~strong(X0)) => (calm(X0) <~> ~old(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> rich(X0)) => (~patient(X0) | ~old(X0))) [input p2]
4. ! [X0] : ((~funny(X0) & funny(X0)) <=> (... | 0 |
If alice is either not quiet or not strong then lucy is calm. If someone is both calm and rich then susan is not strong or not rich. Everyone who is both not strong and not funny is not creative. Everyone who is either not patient or not brave is either not funny or brave. Everyone who is not old is humble. If mary is ... | Susan is strong. | neutral | (((~quiet(alice)<~>~strong(alice)))=>(calm(lucy)))&
((?[X]:((calm(X)&rich(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((~strong(X)&~funny(X))=>~creative(X)))&
(![X]:((~patient(X)<~>~brave(X))=>(~funny(X)<~>brave(X))))&
(![X]:(~old(X)=>humble(X)))&
((~kind(mary))<=>((strong(alice)&creative(alice))))&
(![X]:((~kind(X)... | strong(susan) | [] | null | 0 |
Everyone who is funny or calm is either not calm or not curious. Everyone who is calm is either curious or rich. Everyone who is either brave or not generous is old and vice versa. If someone is either not kind or curious then someone is not creative and vice versa. Everyone who is not curious or creative is either not... | Lucy is not humble. | contradiction | (![X]:((funny(X)|calm(X))=>(~calm(X)<~>~curious(X))))&
(![X]:(calm(X)=>(curious(X)<~>rich(X))))&
(![X]:((brave(X)<~>~generous(X))<=>old(X)))&
((?[X]:((~kind(X)<~>curious(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~curious(X)|creative(X))=>(~calm(X)<~>calm(X))))&
((?[X]:((generous(X)<~>~brave(X))))=>((~creative(mary)&tall(... | ~humble(lucy) | [
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6218589840568764804237539
% SZS output start Proof for 6218589840568764804237539
15. ? [X0] : (strong(X0) | ~brave(X0)) => (~calm(lucy) & humble(lucy)) [input p14]
24. ? [X0] : ~brave(X0) [input p23]
25. ~humble(lucy) [input hypothesis]
38. (~calm(lucy) & humble(lucy)) | ! [X0] : (~strong... | 0 |
If mary is quiet then lucy is not calm and vice versa.
If someone is not old then susan is either funny or not funny and vice versa.
If someone is not tall then someone is quiet or not creative and vice versa.
If someone is not patient then john is either not happy or old.
Everyone who is both not tall and old is not c... | Lucy is calm. | neutral | ((quiet(mary))<=>(~calm(lucy)))&
((?[X]:(~old(X)))<=>((funny(susan)<~>~funny(susan))))&
((?[X]:(~tall(X)))<=>(?[X]:((quiet(X)|~creative(X)))))&
((?[X]:(~patient(X)))=>((~happy(john)<~>old(john))))&
(![X]:((~tall(X)&old(X))<=>~calm(X)))&
(![X]:(~humble(X)=>kind(X)))&
(![X]:((generous(X)&~funny(X))=>(~patient(X)<~>quiet(... | calm(lucy) | [] | null | 0 |
Everyone who is not patient or not curious is wise or rich and vice versa.
Everyone who is either quiet or not calm is wise and vice versa.
If paul is curious or not calm then alice is either not wise or kind.
Everyone who is not generous or not humble is old.
Everyone who is both not strong and not rich is either not ... | Lucy is not humble. | contradiction | (![X]:((~patient(X)|~curious(X))<=>(wise(X)|rich(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>wise(X)))&
(((curious(paul)|~calm(paul)))=>((~wise(alice)<~>kind(alice))))&
(![X]:((~generous(X)|~humble(X))=>old(X)))&
(![X]:((~strong(X)&~rich(X))=>(~quiet(X)<~>~brave(X))))&
(![X]:((~happy(X)<~>~strong(X))=>(tall(X)&~strong(X))))&... | ~humble(lucy) | [
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6454720996365144675997392
% SZS output start Proof for 6454720996365144675997392
22. humble(lucy) | ~happy(lucy) [input p21]
23. happy(lucy) & curious(lucy) [input p22]
25. ~humble(lucy) [input hypothesis]
147. humble(lucy) | ~happy(lucy) [cnf transformation 22]
149. happy(lucy) [cnf tran... | 0 |
If someone is both strong and funny then john is either creative or not brave. If mary is patient or wise then paul is creative. Everyone who is both calm and patient is not humble and vice versa. Everyone who is either old or not humble is not quiet or not curious. If someone is generous then someone is both creative ... | John is not funny. | contradiction | ((?[X]:((strong(X)&funny(X))))=>((creative(john)<~>~brave(john))))&
(((patient(mary)|wise(mary)))=>(creative(paul)))&
(![X]:((calm(X)&patient(X))<=>~humble(X)))&
(![X]:((old(X)<~>~humble(X))=>(~quiet(X)|~curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:((creative(X)&strong(X)))))&
(![X]:((strong(X)&calm(X))=>(~calm(X)&~hum... | ~funny(john) | [
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2567766057262975432649819
% SZS output start Proof for 2567766057262975432649819
10. ? [X0] : (quiet(X0) | ~strong(X0)) => (funny(john) & ~happy(john)) [input p9]
13. (~strong(paul) & old(paul)) <=> ? [X0] : (~patient(X0) | ~kind(X0)) [input p12]
18. ~patient(mary) & humble(mary) [input p... | 0 |
If john is not old or generous then someone is patient or not strong and vice versa.
Everyone who is generous or funny is both not humble and patient and vice versa.
Everyone who is either curious or not generous is not curious and vice versa.
Everyone who is both not rich and not patient is either patient or not curio... | Fred is not calm. | entailment | (((~old(john)|generous(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(![X]:((generous(X)|funny(X))<=>(~humble(X)&patient(X))))&
(![X]:((curious(X)<~>~generous(X))<=>~curious(X)))&
(![X]:((~rich(X)&~patient(X))=>(patient(X)<~>~curious(X))))&
((?[X]:((calm(X)|~creative(X))))=>(~brave(alice)))&
(![X]:((~strong(X)|~curious(... | ~calm(fred) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4249591175571127348163451
% SZS output start Proof for 4249591175571127348163451
5. ? [X0] : (~creative(X0) | calm(X0)) => ~brave(alice) [input p4]
14. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~kind(X0) | ~brave(X0))) [input p13]
22. calm(fred) [input hypothesis]
24. ? [X0] : calm(X0) => ~b... | 0 |
Everyone who is both not strong and generous is either not generous or rich and vice versa. If someone is either not quiet or not tall then someone is both not tall and not humble. If someone is funny then someone is happy and vice versa. Everyone who is both wise and not rich is funny. Everyone who is humble or not ri... | John is kind. | entailment | (![X]:((~strong(X)&generous(X))<=>(~generous(X)<~>rich(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~tall(X)&~humble(X)))))&
((?[X]:(funny(X)))<=>(?[X]:(happy(X))))&
(![X]:((wise(X)&~rich(X))=>funny(X)))&
(![X]:((humble(X)|~rich(X))<=>~humble(X)))&
(![X]:((curious(X)&brave(X))<=>kind(X)))&
(((~calm(susan)<~>~funny(... | kind(john) | [
"p0",
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1551598658421265510891160
% SZS output start Proof for 1551598658421265510891160
1. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~generous(X0) <~> rich(X0))) [input p0]
5. ! [X0] : ((~rich(X0) | humble(X0)) <=> ~humble(X0)) [input p4]
10. ! [X0] : ((~generous(X0) <~> kind(X0)) <=> (rich(X0... | 0 |
Everyone who is not happy is either rich or not curious and vice versa. If someone is tall or not funny then fred is both not brave and calm and vice versa. If john is not happy or not curious then someone is not brave or funny and vice versa. If lucy is either calm or happy then mary is either not creative or not tall... | Alice is not old. | neutral | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
((?[X]:((tall(X)|~funny(X))))<=>((~brave(fred)&calm(fred))))&
(((~happy(john)|~curious(john)))<=>(?[X]:((~brave(X)|funny(X)))))&
(((calm(lucy)<~>happy(lucy)))<=>((~creative(mary)<~>~tall(mary))))&
(((~calm(alice)<~>~humble(alice)))=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~... | ~old(alice) | [] | null | 0 |
If someone is both not kind and rich then lucy is rich.
If someone is creative then susan is curious or happy.
If paul is either not tall or not calm then paul is funny.
Everyone who is either tall or generous is not strong or not creative.
If someone is either happy or tall then fred is both strong and humble and vice... | Fred is creative. | contradiction | ((?[X]:((~kind(X)&rich(X))))=>(rich(lucy)))&
((?[X]:(creative(X)))=>((curious(susan)|happy(susan))))&
(((~tall(paul)<~>~calm(paul)))=>(funny(paul)))&
(![X]:((tall(X)<~>generous(X))=>(~strong(X)|~creative(X))))&
((?[X]:((happy(X)<~>tall(X))))<=>((strong(fred)&humble(fred))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:((cr... | creative(fred) | [
"p4",
"p9",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3018985215843986389318964
% SZS output start Proof for 3018985215843986389318964
5. ? [X0] : (happy(X0) <~> tall(X0)) <=> (humble(fred) & strong(fred)) [input p4]
10. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~generous(X0) | wise(X0))) [input p9]
14. ! [X0] : ((~humble(X0) <~> ~creative(X0)... | 0 |
If someone is either tall or not happy then mary is both tall and funny and vice versa.
If alice is both curious and not happy then susan is both not creative and not rich.
Everyone who is either not happy or happy is not creative.
If susan is either tall or happy then someone is both not kind and strong and vice versa... | Paul is kind. | neutral | ((?[X]:((tall(X)<~>~happy(X))))<=>((tall(mary)&funny(mary))))&
(((curious(alice)&~happy(alice)))=>((~creative(susan)&~rich(susan))))&
(![X]:((~happy(X)<~>happy(X))=>~creative(X)))&
(((tall(susan)<~>happy(susan)))<=>(?[X]:((~kind(X)&strong(X)))))&
((?[X]:(~strong(X)))<=>((generous(fred)<~>~strong(fred))))&
(![X]:(curiou... | kind(paul) | [] | null | 0 |
If someone is both not humble and humble then paul is calm and vice versa.
Everyone who is both quiet and not wise is not curious or quiet and vice versa.
Everyone who is quiet or humble is not quiet and vice versa.
Everyone who is not generous or not tall is both not rich and kind and vice versa.
If alice is either no... | Susan is not funny. | contradiction | ((?[X]:((~humble(X)&humble(X))))<=>(calm(paul)))&
(![X]:((quiet(X)&~wise(X))<=>(~curious(X)|quiet(X))))&
(![X]:((quiet(X)|humble(X))<=>~quiet(X)))&
(![X]:((~generous(X)|~tall(X))<=>(~rich(X)&kind(X))))&
(((~brave(alice)<~>~patient(alice)))=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:(~humble(X)<=>~funny(X)))&
((?[X]:((kin... | ~funny(susan) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7870476254306685079490420
% SZS output start Proof for 7870476254306685079490420
3. ! [X0] : ((humble(X0) | quiet(X0)) <=> ~quiet(X0)) [input p2]
6. ! [X0] : (~humble(X0) <=> ~funny(X0)) [input p5]
21. ~funny(susan) [input hypothesis]
37. ! [X0] : (((humble(X0) | quiet(X0)) | quiet(X0)) &... | 0 |
If alice is either not strong or not rich then paul is strong. If john is wise then fred is calm or strong. Everyone who is curious or not kind is quiet. If someone is quiet or calm then fred is both not curious and quiet and vice versa. If someone is not curious then someone is not funny or not brave. If someone is no... | Alice is wise. | entailment | (((~strong(alice)<~>~rich(alice)))=>(strong(paul)))&
((wise(john))=>((calm(fred)|strong(fred))))&
(![X]:((curious(X)|~kind(X))=>quiet(X)))&
((?[X]:((quiet(X)|calm(X))))<=>((~curious(fred)&quiet(fred))))&
((?[X]:(~curious(X)))=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:((~brave(X)|calm(X))))=>(?[X]:((generous(X)<~>~calm(X... | wise(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 794209446507978703161426
% SZS output start Proof for 794209446507978703161426
11. ! [X0] : ((~wise(X0) | ~old(X0)) <=> rich(X0)) [input p10]
12. ! [X0] : (rich(X0) => (wise(X0) & ~tall(X0))) [input p11]
21. ~wise(alice) [input hypothesis]
35. ! [X0] : ((wise(X0) & ~tall(X0)) | ~rich(X0))... | 0 |
Everyone who is either not tall or not creative is not patient and vice versa.
If someone is old then mary is both humble and not quiet and vice versa.
If john is both strong and curious then paul is either not old or not rich and vice versa.
Everyone who is either generous or humble is either calm or not curious.
Ever... | Fred is not tall. | contradiction | (![X]:((~tall(X)<~>~creative(X))<=>~patient(X)))&
((?[X]:(old(X)))<=>((humble(mary)&~quiet(mary))))&
(((strong(john)&curious(john)))<=>((~old(paul)<~>~rich(paul))))&
(![X]:((generous(X)<~>humble(X))=>(calm(X)<~>~curious(X))))&
(![X]:((~generous(X)|rich(X))<=>kind(X)))&
(![X]:((~patient(X)<~>creative(X))=>creative(X)))&... | ~tall(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 613827486984717272987517
% SZS output start Proof for 613827486984717272987517
1. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> ~patient(X0)) [input p0]
2. ? [X0] : old(X0) <=> (~quiet(mary) & humble(mary)) [input p1]
4. ! [X0] : ((generous(X0) <~> humble(X0)) => (calm(X0) <~> ~curious(X0))... | 0 |
If lucy is either strong or brave then someone is both curious and strong.
If fred is happy then lucy is not strong or rich.
If john is strong or generous then fred is either old or not old and vice versa.
Everyone who is either calm or not strong is tall.
Everyone who is either not wise or not brave is kind or not cur... | Paul is brave. | entailment | (((strong(lucy)<~>brave(lucy)))=>(?[X]:((curious(X)&strong(X)))))&
((happy(fred))=>((~strong(lucy)|rich(lucy))))&
(((strong(john)|generous(john)))<=>((old(fred)<~>~old(fred))))&
(![X]:((calm(X)<~>~strong(X))=>tall(X)))&
(![X]:((~wise(X)<~>~brave(X))<=>(kind(X)|~curious(X))))&
((?[X]:((happy(X)&creative(X))))<=>((genero... | brave(paul) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9841415419189119163552
% SZS output start Proof for 9841415419189119163552
8. (old(paul) | ~rich(paul)) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p7]
15. ! [X0] : (brave(X0) <=> (~old(X0) | creative(X0))) [input p14]
25. ~brave(paul) [input hypothesis]
55. ((old(paul) | ~rich(paul)) | ... | 0 |
Everyone who is creative or tall is both funny and not funny. Everyone who is not strong or not generous is rich. Everyone who is not humble is both brave and not tall and vice versa. Everyone who is either happy or not quiet is not brave or calm and vice versa. Everyone who is not calm is both not curious and patient ... | Alice is not strong. | entailment | (![X]:((creative(X)|tall(X))=>(funny(X)&~funny(X))))&
(![X]:((~strong(X)|~generous(X))=>rich(X)))&
(![X]:(~humble(X)<=>(brave(X)&~tall(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~brave(X)|calm(X))))&
(![X]:(~calm(X)<=>(~curious(X)&patient(X))))&
(![X]:((curious(X)&~generous(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~calm(X)&w... | ~strong(alice) | [
"p0",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4488189831274856206660526
% SZS output start Proof for 4488189831274856206660526
1. ! [X0] : ((tall(X0) | creative(X0)) => (~funny(X0) & funny(X0))) [input p0]
10. strong(alice) <=> (~curious(alice) & ~old(alice)) [input p9]
15. ! [X0] : ((~calm(X0) & creative(X0)) <=> (~happy(X0) | ~old(... | 0 |
Everyone who is either creative or not kind is both not calm and not quiet and vice versa.
Everyone who is both patient and happy is either not quiet or not happy.
Everyone who is not curious or tall is not strong or not quiet.
Everyone who is old is brave or quiet.
If lucy is not old then fred is not creative.
If some... | Lucy is not old. | contradiction | (![X]:((creative(X)<~>~kind(X))<=>(~calm(X)&~quiet(X))))&
(![X]:((patient(X)&happy(X))=>(~quiet(X)<~>~happy(X))))&
(![X]:((~curious(X)|tall(X))=>(~strong(X)|~quiet(X))))&
(![X]:(old(X)=>(brave(X)|quiet(X))))&
((~old(lucy))=>(~creative(fred)))&
((?[X]:((old(X)<~>~wise(X))))=>((calm(alice)&~humble(alice))))&
(![X]:((~tal... | ~old(lucy) | [
"p4",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7454875689288384725905852
% SZS output start Proof for 7454875689288384725905852
5. ~old(lucy) => ~creative(fred) [input p4]
7. ! [X0] : ((quiet(X0) | ~tall(X0)) => (~brave(X0) & creative(X0))) [input p6]
22. quiet(fred) & ~patient(fred) [input p21]
25. ~old(lucy) [input hypothesis]
34. ~... | 0 |
If susan is patient then john is both not curious and kind and vice versa.
Everyone who is not calm is not wise or not old.
If someone is both calm and old then susan is either calm or not funny.
If someone is both strong and not rich then alice is either not kind or rich and vice versa.
If john is both rich and humble... | Alice is creative. | neutral | ((patient(susan))<=>((~curious(john)&kind(john))))&
(![X]:(~calm(X)=>(~wise(X)|~old(X))))&
((?[X]:((calm(X)&old(X))))=>((calm(susan)<~>~funny(susan))))&
((?[X]:((strong(X)&~rich(X))))<=>((~kind(alice)<~>rich(alice))))&
(((rich(john)&humble(john)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((rich(X)|humble(X))<=>(~curious(... | creative(alice) | [] | null | 0 |
Everyone who is brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both kind and strong and vice versa.
If someone is not brave or funny then someone is not brave.
If mary is not strong or strong then john is calm or generous.
Everyone who is both not happy and tall i... | Alice is not humble. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))=>(?[X]:(~brave(X))))&
(((~strong(mary)|strong(mary)))=>((calm(john)|generous(john))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(!... | ~humble(alice) | [
"p6",
"p8",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1222578346283042389712545
% SZS output start Proof for 1222578346283042389712545
7. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p6]
9. ! [X0] : ((wise(X0) & generous(X0)) <=> ~humble(X0)) [input p8]
12. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input p11]
16.... | 0 |
If someone is creative or wise then john is patient or creative and vice versa.
Everyone who is calm or not brave is brave.
If someone is quiet then john is not old and vice versa.
Everyone who is happy or generous is patient and vice versa.
Everyone who is either humble or not tall is either strong or not curious.
If ... | Paul is not rich. | contradiction | ((?[X]:((creative(X)|wise(X))))<=>((patient(john)|creative(john))))&
(![X]:((calm(X)|~brave(X))=>brave(X)))&
((?[X]:(quiet(X)))<=>(~old(john)))&
(![X]:((happy(X)|generous(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))=>(strong(X)<~>~curious(X))))&
((?[X]:((~kind(X)<~>brave(X))))=>(?[X]:((~wise(X)|~creative(X)))))&
(... | ~rich(paul) | [
"p3",
"p8",
"p9",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2403374726457594961944740
% SZS output start Proof for 2403374726457594961944740
4. ! [X0] : ((generous(X0) | happy(X0)) <=> patient(X0)) [input p3]
9. ! [X0] : (strong(X0) <=> (patient(X0) & ~creative(X0))) [input p8]
10. ? [X0] : (humble(X0) | ~creative(X0)) <=> (~happy(paul) & strong(p... | 0 |
If someone is both not calm and rich then john is both old and tall.
If susan is both rich and not calm then mary is not old and vice versa.
If someone is either happy or not funny then paul is happy and vice versa.
If someone is curious or kind then someone is both not quiet and curious.
If lucy is not quiet then some... | John is not rich. | neutral | ((?[X]:((~calm(X)&rich(X))))=>((old(john)&tall(john))))&
(((rich(susan)&~calm(susan)))<=>(~old(mary)))&
((?[X]:((happy(X)<~>~funny(X))))<=>(happy(paul)))&
((?[X]:((curious(X)|kind(X))))=>(?[X]:((~quiet(X)&curious(X)))))&
((~quiet(lucy))<=>(?[X]:((~happy(X)<~>~wise(X)))))&
(![X]:((calm(X)|rich(X))<=>(~curious(X)<~>~stro... | ~rich(john) | [] | null | 0 |
If someone is old then someone is not tall.
If someone is not patient or happy then someone is both not tall and patient and vice versa.
If lucy is quiet or calm then paul is both not old and not curious and vice versa.
If lucy is not tall then someone is either not calm or not rich.
If mary is patient then someone is ... | Lucy is not old. | entailment | ((?[X]:(old(X)))=>(?[X]:(~tall(X))))&
((?[X]:((~patient(X)|happy(X))))<=>(?[X]:((~tall(X)&patient(X)))))&
(((quiet(lucy)|calm(lucy)))<=>((~old(paul)&~curious(paul))))&
((~tall(lucy))=>(?[X]:((~calm(X)<~>~rich(X)))))&
((patient(mary))=>(?[X]:((tall(X)&~curious(X)))))&
(![X]:((old(X)|~calm(X))=>(strong(X)&kind(X))))&
((?... | ~old(lucy) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2060244636161370246984336
% SZS output start Proof for 2060244636161370246984336
1. ? [X0] : old(X0) => ? [X0] : ~tall(X0) [input p0]
10. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (funny(X0) & tall(X0))) [input p9]
23. old(lucy) [input hypothesis]
24. ? [X0] : old(X0) => ? [X1] : ~tall(X1)... | 0 |
If someone is quiet then someone is brave or quiet and vice versa.
Everyone who is either not old or creative is not funny and vice versa.
If mary is either not curious or funny then someone is either not wise or tall and vice versa.
If lucy is not creative then someone is quiet and vice versa.
Everyone who is not old ... | Lucy is not brave. | entailment | ((?[X]:(quiet(X)))<=>(?[X]:((brave(X)|quiet(X)))))&
(![X]:((~old(X)<~>creative(X))<=>~funny(X)))&
(((~curious(mary)<~>funny(mary)))<=>(?[X]:((~wise(X)<~>tall(X)))))&
((~creative(lucy))<=>(?[X]:(quiet(X))))&
(![X]:((~old(X)|tall(X))<=>(~generous(X)&~creative(X))))&
((?[X]:((humble(X)&wise(X))))=>(?[X]:(calm(X))))&
(![X]... | ~brave(lucy) | [
"p0",
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4947323749099996353741144
% SZS output start Proof for 4947323749099996353741144
1. ? [X0] : quiet(X0) <=> ? [X0] : (quiet(X0) | brave(X0)) [input p0]
2. ! [X0] : ((~old(X0) <~> creative(X0)) <=> ~funny(X0)) [input p1]
5. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~creative(X0) & ~generous(X0))... | 0 |
If john is either not patient or old then someone is either not creative or humble.
Everyone who is both not wise and not patient is either strong or old and vice versa.
Everyone who is calm or not creative is either not old or not curious.
Everyone who is both not wise and not old is both not humble and not kind.
Ever... | Mary is not kind. | entailment | (((~patient(john)<~>old(john)))=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(strong(X)<~>old(X))))&
(![X]:((calm(X)|~creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brave(X)|~funny(X))=>~calm(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>(~fun... | ~kind(mary) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 740907984264819051617385
% SZS output start Proof for 740907984264819051617385
15. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (~happy(X0) | brave(X0))) [input p14]
20. brave(mary) [input p19]
24. kind(mary) [input hypothesis]
66. ! [X0] : (((~kind(X0) & quiet(X0)) | (happy(X0) & ~brave(X0))) &... | 0 |
Everyone who is patient or creative is either rich or not strong and vice versa.
Everyone who is funny or curious is creative or not quiet and vice versa.
Everyone who is both not curious and tall is either creative or not quiet and vice versa.
If fred is funny then john is not curious or rich and vice versa.
Everyone ... | Mary is tall. | entailment | (![X]:((patient(X)|creative(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((funny(X)|curious(X))<=>(creative(X)|~quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(creative(X)<~>~quiet(X))))&
((funny(fred))<=>((~curious(john)|rich(john))))&
(![X]:((~rich(X)&~happy(X))<=>~brave(X)))&
((quiet(john))=>(?[X]:((~tall(X)|~generous(X)))))&... | tall(mary) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8107844844800453604517288
% SZS output start Proof for 8107844844800453604517288
1. ! [X0] : ((creative(X0) | patient(X0)) <=> (rich(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((curious(X0) | funny(X0)) <=> (~quiet(X0) | creative(X0))) [input p1]
3. ! [X0] : ((tall(X0) & ~curious(X0)) <... | 0 |
Everyone who is rich or patient is either curious or not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or funny is both not creative and not quiet. Everyone who is brave or cur... | Alice is not kind. | neutral | (![X]:((rich(X)|patient(X))=>(curious(X)<~>~curious(X))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(... | ~kind(alice) | [] | null | 0 |
If someone is not creative then someone is not tall.
If paul is either curious or patient then paul is both not happy and rich and vice versa.
If john is either patient or not brave then mary is either not generous or not calm and vice versa.
If lucy is both not kind and curious then someone is creative or not quiet.
E... | Fred is not humble. | neutral | ((?[X]:(~creative(X)))=>(?[X]:(~tall(X))))&
(((curious(paul)<~>patient(paul)))<=>((~happy(paul)&rich(paul))))&
(((patient(john)<~>~brave(john)))<=>((~generous(mary)<~>~calm(mary))))&
(((~kind(lucy)&curious(lucy)))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(... | ~humble(fred) | [] | null | 0 |
If someone is both not rich and not patient then someone is either not rich or not kind. Everyone who is both humble and not funny is wise or not calm and vice versa. Everyone who is either not generous or not curious is patient and vice versa. Everyone who is either not generous or curious is not brave and vice versa.... | Susan is not wise. | entailment | ((?[X]:((~rich(X)&~patient(X))))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((humble(X)&~funny(X))<=>(wise(X)|~calm(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>patient(X)))&
(![X]:((~generous(X)<~>curious(X))<=>~brave(X)))&
((?[X]:(kind(X)))<=>(creative(paul)))&
(![X]:((wise(X)&brave(X))<=>(funny(X)<~>~patient(X))))&
((?... | ~wise(susan) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p9",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 223765784935093173235715
% SZS output start Proof for 223765784935093173235715
2. ! [X0] : ((~funny(X0) & humble(X0)) <=> (~calm(X0) | wise(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> patient(X0)) [input p2]
4. ! [X0] : ((~generous(X0) <~> curious(X0)) <=> ~brave(X0... | 0 |
Everyone who is not old or happy is not generous.
Everyone who is strong is brave or not kind and vice versa.
If someone is strong or quiet then someone is both not quiet and not patient and vice versa.
Everyone who is not kind or not humble is strong or creative.
If john is not kind then someone is both not curious an... | Fred is not happy. | entailment | (![X]:((~old(X)|happy(X))=>~generous(X)))&
(![X]:(strong(X)<=>(brave(X)|~kind(X))))&
((?[X]:((strong(X)|quiet(X))))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~kind(X)|~humble(X))=>(strong(X)|creative(X))))&
((~kind(john))=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((quiet(X)&~tall(X))=>(kind(X)&generous(X))))&
(![X]:... | ~happy(fred) | [
"p6",
"p7",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7960658029002510587739712
% SZS output start Proof for 7960658029002510587739712
7. ! [X0] : (~rich(X0) <=> (~old(X0) | ~wise(X0))) [input p6]
8. ! [X0] : ((brave(X0) & ~rich(X0)) => (~funny(X0) | ~happy(X0))) [input p7]
9. ! [X0] : ((funny(X0) | curious(X0)) => ~wise(X0)) [input p8]
12. ... | 0 |
If john is both not old and kind then fred is both humble and not quiet.
Everyone who is not kind or not generous is patient or not wise and vice versa.
If someone is either not funny or old then someone is not brave or quiet and vice versa.
If lucy is not humble or generous then john is happy or not funny.
Everyone wh... | John is not calm. | entailment | (((~old(john)&kind(john)))=>((humble(fred)&~quiet(fred))))&
(![X]:((~kind(X)|~generous(X))<=>(patient(X)|~wise(X))))&
((?[X]:((~funny(X)<~>old(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(((~humble(lucy)|generous(lucy)))=>((happy(john)|~funny(john))))&
(![X]:((kind(X)|~wise(X))<=>(generous(X)<~>kind(X))))&
((?[X]:((rich(X)... | ~calm(john) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6961087938773539090751856
% SZS output start Proof for 6961087938773539090751856
2. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~wise(X0) | patient(X0))) [input p1]
5. ! [X0] : ((~wise(X0) | kind(X0)) <=> (generous(X0) <~> kind(X0))) [input p4]
6. ? [X0] : (~creative(X0) | rich(X0)) <=> (q... | 0 |
If john is not calm or not quiet then lucy is tall or generous. Everyone who is either not humble or not old is both not quiet and rich. Everyone who is either not tall or not creative is not tall or brave and vice versa. If john is either patient or kind then john is not kind. If fred is calm then susan is both not fu... | Mary is not calm. | entailment | (((~calm(john)|~quiet(john)))=>((tall(lucy)|generous(lucy))))&
(![X]:((~humble(X)<~>~old(X))=>(~quiet(X)&rich(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>(~tall(X)|brave(X))))&
(((patient(john)<~>kind(john)))=>(~kind(john)))&
((calm(fred))=>((~funny(susan)&kind(susan))))&
(![X]:((kind(X)&wise(X))<=>~calm(X)))&
(![X]:(pat... | ~calm(mary) | [
"p2",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4913383551376933616140513
% SZS output start Proof for 4913383551376933616140513
3. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> (brave(X0) | ~tall(X0))) [input p2]
7. ! [X0] : (patient(X0) => ~patient(X0)) [input p6]
8. ! [X0] : (~curious(X0) => wise(X0)) [input p7]
9. ? [X0] : patient(X0... | 0 |
Everyone who is either old or calm is either curious or wise and vice versa. Everyone who is curious is both not creative and brave and vice versa. If paul is both not patient and not calm then fred is either not wise or rich. If alice is either not rich or rich then fred is both not curious and not strong and vice ver... | Fred is not tall. | neutral | (![X]:((old(X)<~>calm(X))<=>(curious(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~creative(X)&brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~p... | ~tall(fred) | [] | null | 0 |
Everyone who is patient is humble and vice versa.
Everyone who is quiet is either not rich or brave.
If mary is not creative or rich then someone is either rich or not happy.
Everyone who is both funny and not strong is strong or happy and vice versa.
If paul is wise or brave then someone is either not tall or not curi... | Alice is not creative. | contradiction | (![X]:(patient(X)<=>humble(X)))&
(![X]:(quiet(X)=>(~rich(X)<~>brave(X))))&
(((~creative(mary)|rich(mary)))=>(?[X]:((rich(X)<~>~happy(X)))))&
(![X]:((funny(X)&~strong(X))<=>(strong(X)|happy(X))))&
(((wise(paul)|brave(paul)))=>(?[X]:((~tall(X)<~>~curious(X)))))&
((?[X]:((~calm(X)<~>creative(X))))<=>(?[X]:((rich(X)&~humbl... | ~creative(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3477578315676272891224374
% SZS output start Proof for 3477578315676272891224374
4. ! [X0] : ((~strong(X0) & funny(X0)) <=> (happy(X0) | strong(X0))) [input p3]
9. ! [X0] : ((~strong(X0) | wise(X0)) <=> (tall(X0) & creative(X0))) [input p8]
22. ~creative(alice) [input hypothesis]
38. ! [X... | 0 |
If fred is both not wise and not quiet then someone is both not funny and tall and vice versa. If john is either not rich or not calm then john is both not wise and not kind. Everyone who is both not strong and not generous is funny or curious and vice versa. Everyone who is both generous and not patient is not humble.... | Fred is funny. | contradiction | (((~wise(fred)&~quiet(fred)))<=>(?[X]:((~funny(X)&tall(X)))))&
(((~rich(john)<~>~calm(john)))=>((~wise(john)&~kind(john))))&
(![X]:((~strong(X)&~generous(X))<=>(funny(X)|curious(X))))&
(![X]:((generous(X)&~patient(X))=>~humble(X)))&
(((~old(alice)&old(alice)))<=>((strong(paul)|wise(paul))))&
((?[X]:((curious(X)<~>gener... | funny(fred) | [
"p2",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2899663857808329401567534
% SZS output start Proof for 2899663857808329401567534
3. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (curious(X0) | funny(X0))) [input p2]
13. ! [X0] : ((~brave(X0) | brave(X0)) <=> ~brave(X0)) [input p12]
15. ! [X0] : ((~brave(X0) & ~strong(X0)) => (~brave(X0) ... | 0 |
If someone is humble or not patient then someone is both calm and patient and vice versa.
If someone is wise then someone is old or not strong and vice versa.
Everyone who is both not happy and brave is either not generous or not patient and vice versa.
Everyone who is brave or tall is both tall and creative and vice v... | Susan is rich. | contradiction | ((?[X]:((humble(X)|~patient(X))))<=>(?[X]:((calm(X)&patient(X)))))&
((?[X]:(wise(X)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~happy(X)&brave(X))<=>(~generous(X)<~>~patient(X))))&
(![X]:((brave(X)|tall(X))<=>(tall(X)&creative(X))))&
(((~creative(susan)&~strong(susan)))=>(?[X]:((~brave(X)|~tall(X)))))&
((?[X]:((~kind(X... | rich(susan) | [
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 583915571536684293451662
% SZS output start Proof for 583915571536684293451662
9. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> (happy(X0) & curious(X0))) [input p8]
10. (quiet(susan) & ~rich(susan)) <=> (~humble(lucy) | funny(lucy)) [input p9]
12. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (gene... | 0 |
Everyone who is either not rich or calm is curious and vice versa. Everyone who is both rich and calm is either calm or not quiet and vice versa. If someone is either not happy or not strong then paul is both brave and not humble. If someone is both quiet and not old then lucy is not tall or rich. Everyone who is patie... | Alice is not funny. | contradiction | (![X]:((~rich(X)<~>calm(X))<=>curious(X)))&
(![X]:((rich(X)&calm(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:((~happy(X)<~>~strong(X))))=>((brave(paul)&~humble(paul))))&
((?[X]:((quiet(X)&~old(X))))=>((~tall(lucy)|rich(lucy))))&
(![X]:((patient(X)|~funny(X))<=>(rich(X)&quiet(X))))&
(![X]:((~calm(X)|~brave(X))=>(~tall(X)&~hum... | ~funny(alice) | [
"p0",
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2345017327946160147783820
% SZS output start Proof for 2345017327946160147783820
1. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> curious(X0)) [input p0]
5. ! [X0] : ((~funny(X0) | patient(X0)) <=> (quiet(X0) & rich(X0))) [input p4]
6. ! [X0] : ((~brave(X0) | ~calm(X0)) => (~humble(X0) & ~tall(X... | 0 |
If lucy is strong then alice is either not old or not calm.
If john is both not old and humble then someone is either not brave or creative.
Everyone who is not generous or generous is both creative and rich.
Everyone who is both not quiet and happy is either brave or calm and vice versa.
If alice is generous or calm t... | John is not humble. | neutral | ((strong(lucy))=>((~old(alice)<~>~calm(alice))))&
(((~old(john)&humble(john)))=>(?[X]:((~brave(X)<~>creative(X)))))&
(![X]:((~generous(X)|generous(X))=>(creative(X)&rich(X))))&
(![X]:((~quiet(X)&happy(X))<=>(brave(X)<~>calm(X))))&
(((generous(alice)|calm(alice)))=>(?[X]:(tall(X))))&
(![X]:((funny(X)|~rich(X))=>(creativ... | ~humble(john) | [] | null | 0 |
Everyone who is humble or not humble is either rich or tall.
If john is quiet or not funny then john is not humble.
If someone is both old and not quiet then paul is either creative or humble.
If mary is both curious and kind then someone is brave.
If someone is not funny then alice is either curious or not wise and vi... | John is not quiet. | entailment | (![X]:((humble(X)|~humble(X))=>(rich(X)<~>tall(X))))&
(((quiet(john)|~funny(john)))=>(~humble(john)))&
((?[X]:((old(X)&~quiet(X))))=>((creative(paul)<~>humble(paul))))&
(((curious(mary)&kind(mary)))=>(?[X]:(brave(X))))&
((?[X]:(~funny(X)))<=>((curious(alice)<~>~wise(alice))))&
((?[X]:((~brave(X)&~happy(X))))<=>(?[X]:(f... | ~quiet(john) | [
"p0",
"p1",
"p8",
"p9",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5201530450909119441600496
% SZS output start Proof for 5201530450909119441600496
1. ! [X0] : ((~humble(X0) | humble(X0)) => (rich(X0) <~> tall(X0))) [input p0]
2. (~funny(john) | quiet(john)) => ~humble(john) [input p1]
9. ! [X0] : ((~calm(X0) | rich(X0)) => (humble(X0) & ~strong(X0))) [i... | 0 |
If someone is generous or humble then someone is either not happy or creative. If someone is both not brave and not happy then mary is old and vice versa. If susan is not creative or funny then susan is not kind or not old. Everyone who is both not kind and not old is not curious or not patient. Everyone who is either ... | Fred is humble. | neutral | ((?[X]:((generous(X)|humble(X))))=>(?[X]:((~happy(X)<~>creative(X)))))&
((?[X]:((~brave(X)&~happy(X))))<=>(old(mary)))&
(((~creative(susan)|funny(susan)))=>((~kind(susan)|~old(susan))))&
(![X]:((~kind(X)&~old(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>happy(X)))&
((?[X]:((~old(X)<~>patient(X))))<... | humble(fred) | [] | null | 0 |
Everyone who is quiet or strong is both brave and not wise and vice versa.
If susan is tall or generous then someone is humble or not generous.
Everyone who is both not creative and not calm is both not quiet and not calm and vice versa.
Everyone who is not old or humble is quiet or strong.
If susan is both old and not... | John is not creative. | contradiction | (![X]:((quiet(X)|strong(X))<=>(brave(X)&~wise(X))))&
(((tall(susan)|generous(susan)))=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((~creative(X)&~calm(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((~old(X)|humble(X))=>(quiet(X)|strong(X))))&
(((old(susan)&~tall(susan)))<=>((~creative(susan)<~>patient(susan))))&
(((~funny(lucy)|~... | ~creative(john) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8720431931932952821103247
% SZS output start Proof for 8720431931932952821103247
16. ! [X0] : (~creative(X0) <=> (strong(X0) & curious(X0))) [input p15]
20. ~funny(john) & ~strong(john) [input p19]
25. ~creative(john) [input hypothesis]
64. ! [X0] : ((~creative(X0) | (~strong(X0) | ~curio... | 0 |
Everyone who is either quiet or not happy is both not wise and not calm.
Everyone who is strong is both not kind and rich.
If someone is not patient then someone is either funny or humble and vice versa.
If susan is patient or quiet then mary is both curious and not strong.
If someone is humble then someone is strong o... | Alice is quiet. | contradiction | (![X]:((quiet(X)<~>~happy(X))=>(~wise(X)&~calm(X))))&
(![X]:(strong(X)=>(~kind(X)&rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((funny(X)<~>humble(X)))))&
(((patient(susan)|quiet(susan)))=>((curious(mary)&~strong(mary))))&
((?[X]:(humble(X)))<=>(?[X]:((strong(X)|~curious(X)))))&
((?[X]:((quiet(X)&~generous(X))))<=>(?[X]:(... | quiet(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4919365497481963089655253
% SZS output start Proof for 4919365497481963089655253
16. ? [X0] : (~kind(X0) | quiet(X0)) => (~funny(paul) & funny(paul)) [input p15]
23. quiet(alice) [input hypothesis]
41. (~funny(paul) & funny(paul)) | ! [X0] : (kind(X0) & ~quiet(X0)) [ennf transformation 16... | 0 |
Everyone who is not wise or funny is tall. Everyone who is not patient is humble or curious and vice versa. Everyone who is both strong and rich is both not funny and patient. If someone is either kind or brave then someone is not quiet or not kind. Everyone who is happy or kind is both generous and not generous and vi... | Lucy is calm. | entailment | (![X]:((~wise(X)|funny(X))=>tall(X)))&
(![X]:(~patient(X)<=>(humble(X)|curious(X))))&
(![X]:((strong(X)&rich(X))=>(~funny(X)&patient(X))))&
((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((~quiet(X)|~kind(X)))))&
(![X]:((happy(X)|kind(X))<=>(generous(X)&~generous(X))))&
(![X]:((generous(X)|strong(X))<=>(~calm(X)|~humble(X))))&
... | calm(lucy) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p13",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3668102769125470603862685
% SZS output start Proof for 3668102769125470603862685
1. ! [X0] : ((funny(X0) | ~wise(X0)) => tall(X0)) [input p0]
5. ! [X0] : ((kind(X0) | happy(X0)) <=> (~generous(X0) & generous(X0))) [input p4]
7. (tall(john) & ~creative(john)) <=> ? [X0] : (curious(X0) & ge... | 0 |
Everyone who is both creative and brave is either not brave or happy.
If mary is not kind then john is either not wise or humble.
Everyone who is not wise or not patient is both not old and old and vice versa.
Everyone who is either generous or curious is either not funny or rich and vice versa.
Everyone who is brave o... | Susan is not kind. | neutral | (![X]:((creative(X)&brave(X))=>(~brave(X)<~>happy(X))))&
((~kind(mary))=>((~wise(john)<~>humble(john))))&
(![X]:((~wise(X)|~patient(X))<=>(~old(X)&old(X))))&
(![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~pa... | ~kind(susan) | [] | null | 0 |
Everyone who is old or not rich is either not kind or kind. If fred is both creative and not humble then someone is curious or patient and vice versa. Everyone who is both not funny and not strong is patient or curious and vice versa. If someone is both wise and calm then fred is both patient and not brave. If john is ... | Mary is brave. | entailment | (![X]:((old(X)|~rich(X))=>(~kind(X)<~>kind(X))))&
(((creative(fred)&~humble(fred)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(patient(X)|curious(X))))&
((?[X]:((wise(X)&calm(X))))=>((patient(fred)&~brave(fred))))&
(((~humble(john)|~quiet(john)))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((~humbl... | brave(mary) | [
"p2",
"p5",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4620076423687273309190447
% SZS output start Proof for 4620076423687273309190447
3. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (curious(X0) | patient(X0))) [input p2]
6. ! [X0] : ((creative(X0) & ~humble(X0)) <=> (~funny(X0) <~> ~patient(X0))) [input p5]
9. ! [X0] : ((~rich(X0) & ~creative(... | 0 |
Everyone who is either funny or not wise is not funny or humble and vice versa. If paul is both not rich and not curious then someone is creative or kind. Everyone who is not kind is either not humble or not tall. If someone is not creative or not calm then someone is not patient or funny. If fred is both strong and fu... | John is not patient. | contradiction | (![X]:((funny(X)<~>~wise(X))<=>(~funny(X)|humble(X))))&
(((~rich(paul)&~curious(paul)))=>(?[X]:((creative(X)|kind(X)))))&
(![X]:(~kind(X)=>(~humble(X)<~>~tall(X))))&
((?[X]:((~creative(X)|~calm(X))))=>(?[X]:((~patient(X)|funny(X)))))&
(((strong(fred)&funny(fred)))=>(?[X]:((~brave(X)<~>funny(X)))))&
(![X]:((~generous(X)... | ~patient(john) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6265431898775180504736035
% SZS output start Proof for 6265431898775180504736035
6. ! [X0] : ((~generous(X0) <~> patient(X0)) <=> patient(X0)) [input p5]
13. (generous(john) & patient(john)) <=> (quiet(lucy) | generous(lucy)) [input p12]
25. ~patient(john) [input hypothesis]
56. ! [X0] : ... | 0 |
If someone is generous or not tall then someone is rich.
Everyone who is not kind or generous is generous and vice versa.
Everyone who is either old or kind is not wise or rich and vice versa.
If john is either humble or not strong then paul is both rich and not funny.
If mary is not generous then someone is either cal... | Mary is old. | contradiction | ((?[X]:((generous(X)|~tall(X))))=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|generous(X))<=>generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~wise(X)|rich(X))))&
(((humble(john)<~>~strong(john)))=>((rich(paul)&~funny(paul))))&
((~generous(mary))=>(?[X]:((calm(X)<~>humble(X)))))&
(((quiet(alice)<~>tall(alice)))<=>(?[X]:((wise(X)<~>... | old(mary) | [
"p1",
"p2",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4864316253254316743780754
% SZS output start Proof for 4864316253254316743780754
2. ! [X0] : ((generous(X0) | ~kind(X0)) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) <~> kind(X0)) <=> (rich(X0) | ~wise(X0))) [input p2]
11. ? [X0] : (~generous(X0) & ~happy(X0)) <=> ? [X0] : (old(X0) ... | 0 |
Everyone who is both not funny and curious is either not quiet or generous.
Everyone who is not creative or not patient is either generous or kind and vice versa.
Everyone who is either not brave or brave is happy.
If someone is patient then alice is not generous.
Everyone who is not calm is either brave or not happy a... | Alice is generous. | contradiction | (![X]:((~funny(X)&curious(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((~creative(X)|~patient(X))<=>(generous(X)<~>kind(X))))&
(![X]:((~brave(X)<~>brave(X))=>happy(X)))&
((?[X]:(patient(X)))=>(~generous(alice)))&
(![X]:(~calm(X)<=>(brave(X)<~>~happy(X))))&
(![X]:((~rich(X)|~humble(X))<=>(~generous(X)&brave(X))))&
(((tall(j... | generous(alice) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7512326316840422594724354
% SZS output start Proof for 7512326316840422594724354
4. ? [X0] : patient(X0) => ~generous(alice) [input p3]
24. patient(paul) [input p23]
25. generous(alice) [input hypothesis]
33. ~generous(alice) | ! [X0] : ~patient(X0) [ennf transformation 4]
89. ~generous(a... | 0 |
Everyone who is funny is not rich and vice versa.
Everyone who is not generous is either not patient or not strong and vice versa.
If someone is both tall and not calm then alice is both strong and old.
If alice is both kind and not tall then john is both not rich and not generous and vice versa.
If someone is not stro... | Alice is patient. | contradiction | (![X]:(funny(X)<=>~rich(X)))&
(![X]:(~generous(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((tall(X)&~calm(X))))=>((strong(alice)&old(alice))))&
(((kind(alice)&~tall(alice)))<=>((~rich(john)&~generous(john))))&
((?[X]:((~strong(X)|~calm(X))))<=>(rich(alice)))&
(![X]:(generous(X)=>(rich(X)|~generous(X))))&
(((creative(luc... | patient(alice) | [
"p1",
"p4",
"p5",
"p8",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7693117229268164796599932
% SZS output start Proof for 7693117229268164796599932
2. ! [X0] : (~generous(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p1]
5. ? [X0] : (~calm(X0) | ~strong(X0)) <=> rich(alice) [input p4]
6. ! [X0] : (generous(X0) => (~generous(X0) | rich(X0))) [input p5]
9... | 0 |
Everyone who is either creative or not kind is either kind or not tall. If susan is both funny and rich then someone is both not funny and brave. Everyone who is not creative or not calm is both not patient and creative. Everyone who is both creative and not curious is patient or humble. Everyone who is both not funny ... | Alice is tall. | entailment | (![X]:((creative(X)<~>~kind(X))=>(kind(X)<~>~tall(X))))&
(((funny(susan)&rich(susan)))=>(?[X]:((~funny(X)&brave(X)))))&
(![X]:((~creative(X)|~calm(X))=>(~patient(X)&creative(X))))&
(![X]:((creative(X)&~curious(X))=>(patient(X)|humble(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)<~>~kind(X))))&
(![X]:(quiet(X)=>(~curiou... | tall(alice) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1738094415036279840645408
% SZS output start Proof for 1738094415036279840645408
1. ! [X0] : ((creative(X0) <~> ~kind(X0)) => (kind(X0) <~> ~tall(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~creative(X0)) => (creative(X0) & ~patient(X0))) [input p2]
5. ! [X0] : ((quiet(X0) & ~funny(X0)) <=... | 0 |
Everyone who is not happy or not tall is strong or wise and vice versa.
Everyone who is not creative or happy is humble.
If someone is both not curious and not calm then someone is not quiet or generous and vice versa.
If someone is funny or not tall then someone is either calm or brave and vice versa.
Everyone who is ... | John is tall. | neutral | (![X]:((~happy(X)|~tall(X))<=>(strong(X)|wise(X))))&
(![X]:((~creative(X)|happy(X))=>humble(X)))&
((?[X]:((~curious(X)&~calm(X))))<=>(?[X]:((~quiet(X)|generous(X)))))&
((?[X]:((funny(X)|~tall(X))))<=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:((calm(X)&~kind(X))<=>(calm(X)|~patient(X))))&
((?[X]:((~funny(X)|humble(X))))<=>(... | tall(john) | [] | null | 0 |
If someone is both tall and not patient then john is not strong.
If mary is not humble then someone is both brave and not patient and vice versa.
Everyone who is not calm or not humble is both old and funny.
If someone is humble or wise then someone is both tall and creative.
If susan is patient or not curious then som... | John is not funny. | neutral | ((?[X]:((tall(X)&~patient(X))))=>(~strong(john)))&
((~humble(mary))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:((~calm(X)|~humble(X))=>(old(X)&funny(X))))&
((?[X]:((humble(X)|wise(X))))=>(?[X]:((tall(X)&creative(X)))))&
(((patient(susan)|~curious(susan)))<=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:((rich(X)|~calm(X))=>humb... | ~funny(john) | [] | null | 0 |
Everyone who is not wise is both tall and happy and vice versa.
Everyone who is either not happy or patient is not brave and vice versa.
Everyone who is not quiet is both patient and generous and vice versa.
Everyone who is kind or funny is generous and vice versa.
If someone is not brave or humble then someone is both... | Susan is not humble. | neutral | (![X]:(~wise(X)<=>(tall(X)&happy(X))))&
(![X]:((~happy(X)<~>patient(X))<=>~brave(X)))&
(![X]:(~quiet(X)<=>(patient(X)&generous(X))))&
(![X]:((kind(X)|funny(X))<=>generous(X)))&
((?[X]:((~brave(X)|humble(X))))<=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:((~curious(X)&~humble(X))=>(brave(X)<~>~creative(X))))&
(![X]:(~wise(X)<=... | ~humble(susan) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or not curious is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is... | Paul is generous. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))... | generous(paul) | [] | null | 0 |
Everyone who is old is happy or not kind and vice versa.
If someone is not calm or tall then someone is either not humble or not strong and vice versa.
Everyone who is not kind is both wise and not strong.
Everyone who is either old or not curious is either not strong or generous and vice versa.
If someone is either no... | Paul is not happy. | neutral | (![X]:(old(X)<=>(happy(X)|~kind(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(wise(X)&~strong(X))))&
(![X]:((old(X)<~>~curious(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>(?[X]:((~brave(X)<~>brave(X)))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>((~... | ~happy(paul) | [] | null | 0 |
If alice is either wise or creative then fred is both not strong and not happy and vice versa.
If alice is not quiet or rich then someone is both calm and not old and vice versa.
Everyone who is both patient and creative is both curious and not patient.
If someone is both tall and patient then someone is either not str... | John is rich. | contradiction | (((wise(alice)<~>creative(alice)))<=>((~strong(fred)&~happy(fred))))&
(((~quiet(alice)|rich(alice)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((patient(X)&creative(X))=>(curious(X)&~patient(X))))&
((?[X]:((tall(X)&patient(X))))<=>(?[X]:((~strong(X)<~>~old(X)))))&
((?[X]:((~brave(X)&brave(X))))=>(?[X]:((quiet(X)&~generous(X... | rich(john) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2761734496561953056124985
% SZS output start Proof for 2761734496561953056124985
7. ! [X0] : ((old(X0) | ~old(X0)) => (calm(X0) & ~brave(X0))) [input p6]
14. ! [X0] : (~tall(X0) => (~calm(X0) & strong(X0))) [input p13]
20. ~tall(john) | ~rich(john) [input p19]
24. rich(john) [input hypoth... | 0 |
Everyone who is brave is either not funny or humble and vice versa.
Everyone who is not funny is not old or not kind and vice versa.
If someone is strong then mary is both not rich and not tall.
If someone is not generous or not funny then mary is not quiet or creative and vice versa.
If someone is not old then someone... | Susan is quiet. | contradiction | (![X]:(brave(X)<=>(~funny(X)<~>humble(X))))&
(![X]:(~funny(X)<=>(~old(X)|~kind(X))))&
((?[X]:(strong(X)))=>((~rich(mary)&~tall(mary))))&
((?[X]:((~generous(X)|~funny(X))))<=>((~quiet(mary)|creative(mary))))&
((?[X]:(~old(X)))=>(?[X]:((rich(X)<~>old(X)))))&
(![X]:((wise(X)<~>quiet(X))<=>(~calm(X)&wise(X))))&
(![X]:((~fu... | quiet(susan) | [
"p6",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7753530239749764415180148
% SZS output start Proof for 7753530239749764415180148
7. ! [X0] : ((~funny(X0) <~> ~happy(X0)) => (~happy(X0) | ~quiet(X0))) [input p6]
19. happy(susan) [input p18]
20. ~funny(susan) & ~brave(susan) [input p19]
24. quiet(susan) [input hypothesis]
32. ! [X0] : ((... | 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 not creative. | 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... | ~creative(fred) | [
"p0",
"p1",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 922396028061384876868073
% SZS output start Proof for 922396028061384876868073
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]
10. ! [X0] :... | 0 |
Everyone who is both rich and not brave is both not happy and happy and vice versa. If someone is wise or not creative then susan is either creative or brave. Everyone who is not happy or happy is not kind and vice versa. If someone is either kind or humble then mary is both not rich and not wise. Everyone who is not h... | Fred is creative. | neutral | (![X]:((rich(X)&~brave(X))<=>(~happy(X)&happy(X))))&
((?[X]:((wise(X)|~creative(X))))=>((creative(susan)<~>brave(susan))))&
(![X]:((~happy(X)|happy(X))<=>~kind(X)))&
((?[X]:((kind(X)<~>humble(X))))=>((~rich(mary)&~wise(mary))))&
(![X]:((~happy(X)|~patient(X))<=>(happy(X)|~calm(X))))&
(((brave(alice)<~>happy(alice)))<=>... | creative(fred) | [] | null | 0 |
Everyone who is curious or patient is quiet or humble.
Everyone who is rich is both not calm and not generous and vice versa.
If john is not funny or tall then susan is both not humble and happy and vice versa.
Everyone who is both strong and creative is both quiet and not happy.
Everyone who is strong is brave.
Everyo... | Paul is kind. | neutral | (![X]:((curious(X)|patient(X))=>(quiet(X)|humble(X))))&
(![X]:(rich(X)<=>(~calm(X)&~generous(X))))&
(((~funny(john)|tall(john)))<=>((~humble(susan)&happy(susan))))&
(![X]:((strong(X)&creative(X))=>(quiet(X)&~happy(X))))&
(![X]:(strong(X)=>brave(X)))&
(![X]:(tall(X)<=>(~brave(X)&old(X))))&
(![X]:((creative(X)<~>~wise(X)... | kind(paul) | [] | null | 0 |
Everyone who is not kind is both humble and strong and vice versa.
Everyone who is not curious or strong is wise and vice versa.
Everyone who is both not brave and not patient is brave or humble and vice versa.
If someone is strong or not funny then someone is not happy or not brave and vice versa.
Everyone who is eith... | Susan is curious. | contradiction | (![X]:(~kind(X)<=>(humble(X)&strong(X))))&
(![X]:((~curious(X)|strong(X))<=>wise(X)))&
(![X]:((~brave(X)&~patient(X))<=>(brave(X)|humble(X))))&
((?[X]:((strong(X)|~funny(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:((curious(X)<~>~funny(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((patient(X)&~old(X))<=>(~patient(X)&funny(X... | curious(susan) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3680120631558987202153041
% SZS output start Proof for 3680120631558987202153041
1. ! [X0] : (~kind(X0) <=> (strong(X0) & humble(X0))) [input p0]
3. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p2]
5. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (kind(X0) <~> ~... | 0 |
Everyone who is not kind or not wise is not creative and vice versa. If mary is either strong or humble then john is either not quiet or not patient. If someone is humble then susan is not kind or not calm and vice versa. Everyone who is kind or not rich is both not patient and not happy. Everyone who is strong or not ... | Fred is creative. | contradiction | (![X]:((~kind(X)|~wise(X))<=>~creative(X)))&
(((strong(mary)<~>humble(mary)))=>((~quiet(john)<~>~patient(john))))&
((?[X]:(humble(X)))<=>((~kind(susan)|~calm(susan))))&
(![X]:((kind(X)|~rich(X))=>(~patient(X)&~happy(X))))&
(![X]:((strong(X)|~wise(X))=>(~humble(X)&~calm(X))))&
(![X]:((~rich(X)|~funny(X))<=>rich(X)))&
((... | creative(fred) | [
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6824949881731296937387908
% SZS output start Proof for 6824949881731296937387908
7. ? [X0] : (~generous(X0) | old(X0)) <=> ? [X0] : creative(X0) [input p6]
8. ? [X0] : (old(X0) | quiet(X0)) => ? [X0] : (~curious(X0) & curious(X0)) [input p7]
9. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (~g... | 0 |
Everyone who is both humble and not kind is not creative and vice versa.
Everyone who is both humble and not calm is both happy and not brave.
Everyone who is both not creative and generous is both old and not creative and vice versa.
If someone is not kind then paul is either quiet or curious.
Everyone who is not stro... | Alice is happy. | entailment | (![X]:((humble(X)&~kind(X))<=>~creative(X)))&
(![X]:((humble(X)&~calm(X))=>(happy(X)&~brave(X))))&
(![X]:((~creative(X)&generous(X))<=>(old(X)&~creative(X))))&
((?[X]:(~kind(X)))=>((quiet(paul)<~>curious(paul))))&
(![X]:((~strong(X)|calm(X))<=>(humble(X)&~wise(X))))&
(((~rich(alice)|strong(alice)))<=>(?[X]:((~happy(X)|... | happy(alice) | [
"p0",
"p1",
"p4",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4853406307503854072770454
% SZS output start Proof for 4853406307503854072770454
1. ! [X0] : ((~kind(X0) & humble(X0)) <=> ~creative(X0)) [input p0]
2. ! [X0] : ((~calm(X0) & humble(X0)) => (~brave(X0) & happy(X0))) [input p1]
5. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~wise(X0) & humble(... | 0 |
If lucy is kind or not wise then alice is not curious and vice versa.
If someone is both not kind and creative then someone is either not wise or not creative.
Everyone who is generous is either wise or not old.
Everyone who is funny is both not tall and patient.
If someone is brave then someone is both creative and no... | Paul is curious. | contradiction | (((kind(lucy)|~wise(lucy)))<=>(~curious(alice)))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((~wise(X)<~>~creative(X)))))&
(![X]:(generous(X)=>(wise(X)<~>~old(X))))&
(![X]:(funny(X)=>(~tall(X)&patient(X))))&
((?[X]:(brave(X)))<=>(?[X]:((creative(X)&~brave(X)))))&
(((~strong(lucy)|patient(lucy)))<=>(~humble(mary)))&
(![X]... | curious(paul) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8319095731713822881698292
% SZS output start Proof for 8319095731713822881698292
14. ! [X0] : (generous(X0) <=> (~happy(X0) | ~generous(X0))) [input p13]
16. ! [X0] : ((~curious(X0) | generous(X0)) <=> (~calm(X0) & ~curious(X0))) [input p15]
24. curious(paul) [input hypothesis]
63. ! [X0]... | 0 |
Everyone who is either wise or not happy is either humble or quiet. If someone is both not wise and not creative then john is not rich and vice versa. If someone is kind then paul is either old or not curious. If john is not funny then lucy is not brave or not humble and vice versa. Everyone who is both wise and quiet ... | Lucy is strong. | contradiction | (![X]:((wise(X)<~>~happy(X))=>(humble(X)<~>quiet(X))))&
((?[X]:((~wise(X)&~creative(X))))<=>(~rich(john)))&
((?[X]:(kind(X)))=>((old(paul)<~>~curious(paul))))&
((~funny(john))<=>((~brave(lucy)|~humble(lucy))))&
(![X]:((wise(X)&quiet(X))<=>~wise(X)))&
(![X]:((curious(X)|strong(X))<=>old(X)))&
((?[X]:((strong(X)&calm(X))... | strong(lucy) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6533251961203542553438797
% SZS output start Proof for 6533251961203542553438797
1. ! [X0] : ((wise(X0) <~> ~happy(X0)) => (humble(X0) <~> quiet(X0))) [input p0]
5. ! [X0] : ((quiet(X0) & wise(X0)) <=> ~wise(X0)) [input p4]
7. ? [X0] : (calm(X0) & strong(X0)) => ? [X0] : (~creative(X0) & ... | 0 |
Everyone who is not quiet or not patient is not happy and vice versa. Everyone who is not curious or not calm is not brave. Everyone who is either humble or not patient is both not rich and old. If someone is both not quiet and rich then someone is humble and vice versa. Everyone who is both not kind and not brave is r... | Fred is old. | entailment | (![X]:((~quiet(X)|~patient(X))<=>~happy(X)))&
(![X]:((~curious(X)|~calm(X))=>~brave(X)))&
(![X]:((humble(X)<~>~patient(X))=>(~rich(X)&old(X))))&
((?[X]:((~quiet(X)&rich(X))))<=>(?[X]:(humble(X))))&
(![X]:((~kind(X)&~brave(X))=>rich(X)))&
((?[X]:((brave(X)<~>patient(X))))=>(?[X]:(~curious(X))))&
(![X]:((funny(X)&~kind(X... | old(fred) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6085963587691184217935972
% SZS output start Proof for 6085963587691184217935972
1. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> ~happy(X0)) [input p0]
2. ! [X0] : ((~calm(X0) | ~curious(X0)) => ~brave(X0)) [input p1]
3. ! [X0] : ((humble(X0) <~> ~patient(X0)) => (old(X0) & ~rich(X0))) [inpu... | 0 |
Everyone who is not patient or tall is not generous and vice versa. Everyone who is not quiet or not happy is either not happy or tall. If someone is creative then someone is not humble or brave and vice versa. If john is creative then john is either not humble or not brave and vice versa. If alice is either not patien... | Alice is happy. | neutral | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~happy(X)<~>tall(X))))&
((?[X]:(creative(X)))<=>(?[X]:((~humble(X)|brave(X)))))&
((creative(john))<=>((~humble(john)<~>~brave(john))))&
(((~patient(alice)<~>~happy(alice)))<=>(?[X]:(patient(X))))&
(((~strong(lucy)<~>old(lucy)))=>(?[X]:((~calm... | happy(alice) | [] | null | 0 |
If fred is calm then someone is not curious or not happy.
Everyone who is not curious is calm.
If someone is either brave or kind then someone is patient or not kind and vice versa.
Everyone who is generous or not funny is both funny and kind and vice versa.
Everyone who is calm is either tall or not humble and vice ve... | Mary is not generous. | entailment | ((calm(fred))=>(?[X]:((~curious(X)|~happy(X)))))&
(![X]:(~curious(X)=>calm(X)))&
((?[X]:((brave(X)<~>kind(X))))<=>(?[X]:((patient(X)|~kind(X)))))&
(![X]:((generous(X)|~funny(X))<=>(funny(X)&kind(X))))&
(![X]:(calm(X)<=>(tall(X)<~>~humble(X))))&
(((~quiet(susan)&~patient(susan)))<=>(?[X]:((generous(X)|humble(X)))))&
(![... | ~generous(mary) | [
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4245156411905473874382223
% SZS output start Proof for 4245156411905473874382223
4. ! [X0] : ((~funny(X0) | generous(X0)) <=> (kind(X0) & funny(X0))) [input p3]
6. (~patient(susan) & ~quiet(susan)) <=> ? [X0] : (humble(X0) | generous(X0)) [input p5]
7. ! [X0] : ((kind(X0) | old(X0)) <=> (... | 0 |
If someone is not humble then someone is either humble or not curious.
Everyone who is not curious is calm or patient and vice versa.
Everyone who is both old and not brave is either creative or not old and vice versa.
Everyone who is both creative and not generous is old and vice versa.
Everyone who is either old or n... | Fred is not curious. | entailment | ((?[X]:(~humble(X)))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>(calm(X)|patient(X))))&
(![X]:((old(X)&~brave(X))<=>(creative(X)<~>~old(X))))&
(![X]:((creative(X)&~generous(X))<=>old(X)))&
(![X]:((old(X)<~>~happy(X))<=>~creative(X)))&
((?[X]:(kind(X)))=>((~happy(fred)&calm(fred))))&
(![X]:(~calm(X)=>(~r... | ~curious(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1917964229633658750527361
% SZS output start Proof for 1917964229633658750527361
2. ! [X0] : (~curious(X0) <=> (patient(X0) | calm(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & old(X0)) <=> (creative(X0) <~> ~old(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & creative(X0)) <=> old(X0)) [inp... | 0 |
Everyone who is not brave or not rich is both humble and old and vice versa.
If someone is generous then alice is both brave and not wise and vice versa.
Everyone who is both not generous and brave is not brave and vice versa.
If john is old then john is both happy and patient and vice versa.
If someone is either not b... | Paul is kind. | neutral | (![X]:((~brave(X)|~rich(X))<=>(humble(X)&old(X))))&
((?[X]:(generous(X)))<=>((brave(alice)&~wise(alice))))&
(![X]:((~generous(X)&brave(X))<=>~brave(X)))&
((old(john))<=>((happy(john)&patient(john))))&
((?[X]:((~brave(X)<~>~creative(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
((?[X]:((~funny(X)<~>~happy(X))))<=>(?[X]:((stro... | kind(paul) | [] | null | 0 |
If john is happy or curious then someone is either not tall or curious and vice versa.
Everyone who is both not tall and brave is either not strong or generous and vice versa.
Everyone who is both creative and funny is both not curious and generous and vice versa.
If john is either strong or not happy then susan is eit... | Paul is not calm. | entailment | (((happy(john)|curious(john)))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~tall(X)&brave(X))<=>(~strong(X)<~>generous(X))))&
(![X]:((creative(X)&funny(X))<=>(~curious(X)&generous(X))))&
(((strong(john)<~>~happy(john)))=>((calm(susan)<~>strong(susan))))&
(![X]:((~curious(X)&wise(X))=>(~tall(X)&calm(X))))&
(![X]:((wise... | ~calm(paul) | [
"p1",
"p7",
"p8",
"p11",
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3781749306498326205590348
% SZS output start Proof for 3781749306498326205590348
2. ! [X0] : ((brave(X0) & ~tall(X0)) <=> (~strong(X0) <~> generous(X0))) [input p1]
8. ! [X0] : (humble(X0) <=> ~generous(X0)) [input p7]
9. ! [X0] : ((calm(X0) <~> old(X0)) <=> ~creative(X0)) [input p8]
12. ... | 0 |
Everyone who is both not curious and old is both generous and not funny.
If mary is either not happy or not curious then alice is not patient and vice versa.
Everyone who is both rich and not kind is both not creative and not generous and vice versa.
If someone is both brave and kind then susan is both tall and not str... | John is calm. | contradiction | (![X]:((~curious(X)&old(X))=>(generous(X)&~funny(X))))&
(((~happy(mary)<~>~curious(mary)))<=>(~patient(alice)))&
(![X]:((rich(X)&~kind(X))<=>(~creative(X)&~generous(X))))&
((?[X]:((brave(X)&kind(X))))=>((tall(susan)&~strong(susan))))&
(![X]:((~humble(X)&~kind(X))<=>(curious(X)&rich(X))))&
(![X]:((~rich(X)<~>~happy(X))=... | calm(john) | [
"p2",
"p4",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2445974326016643057447565
% SZS output start Proof for 2445974326016643057447565
3. ! [X0] : ((~kind(X0) & rich(X0)) <=> (~generous(X0) & ~creative(X0))) [input p2]
5. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (rich(X0) & curious(X0))) [input p4]
10. ! [X0] : (~rich(X0) => (happy(X0) & ~hap... | 0 |
Everyone who is not humble is not kind or not tall. If someone is humble or not happy then john is both not strong and tall. If someone is not strong or brave then someone is happy or rich. If john is quiet or not brave then someone is either tall or not generous. Everyone who is happy or not generous is both calm and ... | Paul is creative. | neutral | (![X]:(~humble(X)=>(~kind(X)|~tall(X))))&
((?[X]:((humble(X)|~happy(X))))=>((~strong(john)&tall(john))))&
((?[X]:((~strong(X)|brave(X))))=>(?[X]:((happy(X)|rich(X)))))&
(((quiet(john)|~brave(john)))=>(?[X]:((tall(X)<~>~generous(X)))))&
(![X]:((happy(X)|~generous(X))=>(calm(X)&~old(X))))&
(![X]:((~curious(X)<~>old(X))=>... | creative(paul) | [] | null | 0 |
If someone is not humble or quiet then alice is tall or not generous.
Everyone who is not patient or not kind is old.
Everyone who is both not curious and not happy is curious or not rich.
Everyone who is tall is not funny.
If someone is either not quiet or happy then someone is not generous.
Everyone who is both humbl... | John is creative. | neutral | ((?[X]:((~humble(X)|quiet(X))))=>((tall(alice)|~generous(alice))))&
(![X]:((~patient(X)|~kind(X))=>old(X)))&
(![X]:((~curious(X)&~happy(X))=>(curious(X)|~rich(X))))&
(![X]:(tall(X)=>~funny(X)))&
((?[X]:((~quiet(X)<~>happy(X))))=>(?[X]:(~generous(X))))&
(![X]:((humble(X)&~wise(X))=>(brave(X)|wise(X))))&
(![X]:((calm(X)|... | creative(john) | [] | null | 0 |
If paul is not wise or not rich then someone is both not rich and not strong and vice versa. Everyone who is not funny or not wise is either not strong or quiet and vice versa. Everyone who is either brave or creative is either strong or happy and vice versa. If john is either not quiet or strong then susan is brave or... | Lucy is not curious. | entailment | (((~wise(paul)|~rich(paul)))<=>(?[X]:((~rich(X)&~strong(X)))))&
(![X]:((~funny(X)|~wise(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((brave(X)<~>creative(X))<=>(strong(X)<~>happy(X))))&
(((~quiet(john)<~>strong(john)))<=>((brave(susan)|rich(susan))))&
(![X]:((~calm(X)&~rich(X))<=>curious(X)))&
(((wise(john)|~humble(john)))=... | ~curious(lucy) | [
"p4",
"p11",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 851388032079356660738698
% SZS output start Proof for 851388032079356660738698
5. ! [X0] : ((~rich(X0) & ~calm(X0)) <=> curious(X0)) [input p4]
12. ! [X0] : ((~generous(X0) & quiet(X0)) => (calm(X0) & brave(X0))) [input p11]
20. rich(lucy) <~> quiet(lucy) [input p19]
21. ~generous(lucy) <... | 0 |
Everyone who is old or wise is both patient and curious. Everyone who is not quiet is generous or happy and vice versa. Everyone who is either wise or calm is patient. Everyone who is not funny or quiet is both not wise and tall and vice versa. Everyone who is both creative and humble is not wise. Everyone who is brave... | Mary is curious. | contradiction | (![X]:((old(X)|wise(X))=>(patient(X)&curious(X))))&
(![X]:(~quiet(X)<=>(generous(X)|happy(X))))&
(![X]:((wise(X)<~>calm(X))=>patient(X)))&
(![X]:((~funny(X)|quiet(X))<=>(~wise(X)&tall(X))))&
(![X]:((creative(X)&humble(X))=>~wise(X)))&
(![X]:(brave(X)=>(~quiet(X)|~happy(X))))&
(((~kind(paul)|~rich(paul)))=>(?[X]:((funny... | curious(mary) | [
"p0",
"p3",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8730320411255724656829059
% SZS output start Proof for 8730320411255724656829059
1. ! [X0] : ((wise(X0) | old(X0)) => (curious(X0) & patient(X0))) [input p0]
4. ! [X0] : ((quiet(X0) | ~funny(X0)) <=> (tall(X0) & ~wise(X0))) [input p3]
9. ! [X0] : ((~curious(X0) & creative(X0)) <=> (~wise(... | 0 |
If susan is both not wise and funny then someone is not tall or not curious and vice versa. Everyone who is both happy and not humble is both not kind and humble and vice versa. If someone is either generous or creative then alice is brave or rich. Everyone who is old is creative or kind and vice versa. If someone is n... | John is kind. | entailment | (((~wise(susan)&funny(susan)))<=>(?[X]:((~tall(X)|~curious(X)))))&
(![X]:((happy(X)&~humble(X))<=>(~kind(X)&humble(X))))&
((?[X]:((generous(X)<~>creative(X))))=>((brave(alice)|rich(alice))))&
(![X]:(old(X)<=>(creative(X)|kind(X))))&
((?[X]:((~curious(X)|wise(X))))=>(?[X]:(old(X))))&
(![X]:(~brave(X)=>(~curious(X)|stron... | kind(john) | [
"p1",
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8582527123883105958544100
% SZS output start Proof for 8582527123883105958544100
2. ! [X0] : ((~humble(X0) & happy(X0)) <=> (humble(X0) & ~kind(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (kind(X0) | creative(X0))) [input p3]
7. ? [X0] : calm(X0) <=> ? [X0] : (~old(X0) & humble(X0)) [input ... | 0 |
Everyone who is funny or old is either tall or not rich. Everyone who is both wise and humble is wise. Everyone who is not tall or brave is brave and vice versa. If susan is either not curious or not wise then john is both patient and not calm and vice versa. If fred is not wise then someone is kind or not funny and vi... | Mary is not humble. | entailment | (![X]:((funny(X)|old(X))=>(tall(X)<~>~rich(X))))&
(![X]:((wise(X)&humble(X))=>wise(X)))&
(![X]:((~tall(X)|brave(X))<=>brave(X)))&
(((~curious(susan)<~>~wise(susan)))<=>((patient(john)&~calm(john))))&
((~wise(fred))<=>(?[X]:((kind(X)|~funny(X)))))&
((?[X]:((wise(X)&patient(X))))<=>(?[X]:((~calm(X)&~tall(X)))))&
((?[X]:(... | ~humble(mary) | [
"p4",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3265859979488382420207628
% SZS output start Proof for 3265859979488382420207628
5. ~wise(fred) <=> ? [X0] : (~funny(X0) | kind(X0)) [input p4]
12. ! [X0] : ((~happy(X0) | humble(X0)) <=> (kind(X0) & ~old(X0))) [input p11]
19. old(fred) & wise(fred) [input p18]
25. humble(mary) [input hyp... | 0 |
Everyone who is not strong is humble or wise and vice versa.
Everyone who is happy or humble is either not happy or not strong and vice versa.
If susan is both not humble and old then someone is either curious or brave.
Everyone who is both kind and not curious is either not happy or not rich and vice versa.
Everyone w... | Fred is not kind. | entailment | (![X]:(~strong(X)<=>(humble(X)|wise(X))))&
(![X]:((happy(X)|humble(X))<=>(~happy(X)<~>~strong(X))))&
(((~humble(susan)&old(susan)))=>(?[X]:((curious(X)<~>brave(X)))))&
(![X]:((kind(X)&~curious(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((kind(X)|curious(X))<=>humble(X)))&
(![X]:((~calm(X)&quiet(X))<=>(~rich(X)<~>brave(X))))... | ~kind(fred) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3160700245540229710567818
% SZS output start Proof for 3160700245540229710567818
1. ! [X0] : (~strong(X0) <=> (wise(X0) | humble(X0))) [input p0]
2. ! [X0] : ((humble(X0) | happy(X0)) <=> (~happy(X0) <~> ~strong(X0))) [input p1]
4. ! [X0] : ((~curious(X0) & kind(X0)) <=> (~happy(X0) <~> ~... | 0 |
If paul is kind or not kind then fred is kind or brave and vice versa.
If alice is either humble or calm then susan is both calm and strong.
Everyone who is both kind and humble is both not calm and not wise and vice versa.
If fred is both wise and generous then fred is not happy and vice versa.
If mary is not happy or... | Susan is kind. | entailment | (((kind(paul)|~kind(paul)))<=>((kind(fred)|brave(fred))))&
(((humble(alice)<~>calm(alice)))=>((calm(susan)&strong(susan))))&
(![X]:((kind(X)&humble(X))<=>(~calm(X)&~wise(X))))&
(((wise(fred)&generous(fred)))<=>(~happy(fred)))&
(((~happy(mary)|~old(mary)))=>((patient(fred)|kind(fred))))&
(((~kind(lucy)&~brave(lucy)))<=>... | kind(susan) | [
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3895043931161090900159836
% SZS output start Proof for 3895043931161090900159836
12. ! [X0] : (~happy(X0) => (kind(X0) & funny(X0))) [input p11]
24. ~happy(susan) [input p23]
25. ~kind(susan) [input hypothesis]
37. ! [X0] : ((kind(X0) & funny(X0)) | happy(X0)) [ennf transformation 12]
107... | 0 |
If paul is kind or brave then someone is funny or not creative and vice versa. Everyone who is not patient or happy is not curious or not tall. Everyone who is creative or not patient is curious or not wise. Everyone who is both creative and quiet is not calm or wise and vice versa. If john is humble or not tall then s... | Alice is not brave. | contradiction | (((kind(paul)|brave(paul)))<=>(?[X]:((funny(X)|~creative(X)))))&
(![X]:((~patient(X)|happy(X))=>(~curious(X)|~tall(X))))&
(![X]:((creative(X)|~patient(X))=>(curious(X)|~wise(X))))&
(![X]:((creative(X)&quiet(X))<=>(~calm(X)|wise(X))))&
(((humble(john)|~tall(john)))<=>(?[X]:((~humble(X)|generous(X)))))&
(![X]:((strong(X)... | ~brave(alice) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5736264392038767104328067
% SZS output start Proof for 5736264392038767104328067
7. ! [X0] : (~brave(X0) => ~humble(X0)) [input p6]
8. ! [X0] : ((~humble(X0) | happy(X0)) <=> (generous(X0) & brave(X0))) [input p7]
22. ~brave(alice) [input hypothesis]
29. ! [X0] : (~humble(X0) | brave(X0))... | 0 |
If someone is funny then mary is not quiet.
Everyone who is either happy or patient is either not wise or kind and vice versa.
Everyone who is funny or not curious is not wise.
If someone is both patient and brave then lucy is not brave or not curious and vice versa.
If someone is not old then fred is either wise or ri... | John is not curious. | contradiction | ((?[X]:(funny(X)))=>(~quiet(mary)))&
(![X]:((happy(X)<~>patient(X))<=>(~wise(X)<~>kind(X))))&
(![X]:((funny(X)|~curious(X))=>~wise(X)))&
((?[X]:((patient(X)&brave(X))))<=>((~brave(lucy)|~curious(lucy))))&
((?[X]:(~old(X)))<=>((wise(fred)<~>rich(fred))))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:((~humble(X)&brave(X))))... | ~curious(john) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2163866315395463907104036
% SZS output start Proof for 2163866315395463907104036
10. ! [X0] : ((~humble(X0) & quiet(X0)) <=> (~curious(X0) | tall(X0))) [input p9]
15. ! [X0] : ((~creative(X0) | quiet(X0)) => curious(X0)) [input p14]
24. ~curious(john) [input hypothesis]
33. ! [X0] : (curi... | 0 |
Everyone who is not strong or not kind is either not kind or not curious and vice versa.
Everyone who is creative is both happy and not humble and vice versa.
Everyone who is either not quiet or not funny is rich and vice versa.
Everyone who is not quiet or not humble is either rich or not calm and vice versa.
Everyone... | Lucy is curious. | entailment | (![X]:((~strong(X)|~kind(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:(creative(X)<=>(happy(X)&~humble(X))))&
(![X]:((~quiet(X)<~>~funny(X))<=>rich(X)))&
(![X]:((~quiet(X)|~humble(X))<=>(rich(X)<~>~calm(X))))&
(![X]:((happy(X)<~>~brave(X))=>(~tall(X)&~generous(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~tall(X)|patient(X))))&
... | curious(lucy) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2463700481898463774482734
% SZS output start Proof for 2463700481898463774482734
1. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p0]
13. ! [X0] : ((calm(X0) & curious(X0)) <=> (creative(X0) | curious(X0))) [input p12]
15. ! [X0] : ((patient(X0) | kind(X0)) ... | 0 |
If someone is not tall or not humble then someone is either not tall or not calm and vice versa.
If mary is both not old and not patient then alice is both not brave and funny and vice versa.
If john is not creative or not patient then lucy is either not wise or humble and vice versa.
Everyone who is not rich is not br... | Lucy is rich. | entailment | ((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((~old(mary)&~patient(mary)))<=>((~brave(alice)&funny(alice))))&
(((~creative(john)|~patient(john)))<=>((~wise(lucy)<~>humble(lucy))))&
(![X]:(~rich(X)<=>~brave(X)))&
(![X]:(rich(X)<=>(strong(X)&old(X))))&
(![X]:((brave(X)|calm(X))<=>(wise(X)|~humble(X... | rich(lucy) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 374311800251001300749754
% SZS output start Proof for 374311800251001300749754
4. ! [X0] : (~rich(X0) <=> ~brave(X0)) [input p3]
8. ! [X0] : ((~brave(X0) | happy(X0)) => (funny(X0) & ~funny(X0))) [input p7]
25. ~rich(lucy) [input hypothesis]
29. ! [X0] : ((funny(X0) & ~funny(X0)) | (brave... | 0 |
If fred is both tall and not happy then mary is either not tall or not patient.
If someone is not patient or not happy then mary is both not happy and not funny.
Everyone who is either quiet or not tall is either not calm or funny.
If fred is not rich then someone is funny.
Everyone who is both quiet and wise is not br... | John is not rich. | contradiction | (((tall(fred)&~happy(fred)))=>((~tall(mary)<~>~patient(mary))))&
((?[X]:((~patient(X)|~happy(X))))=>((~happy(mary)&~funny(mary))))&
(![X]:((quiet(X)<~>~tall(X))=>(~calm(X)<~>funny(X))))&
((~rich(fred))=>(?[X]:(funny(X))))&
(![X]:((quiet(X)&wise(X))=>~brave(X)))&
(![X]:((~creative(X)<~>kind(X))=>(rich(X)<~>tall(X))))&
(... | ~rich(john) | [
"p5",
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2788689791419854809779431
% SZS output start Proof for 2788689791419854809779431
6. ! [X0] : ((~creative(X0) <~> kind(X0)) => (rich(X0) <~> tall(X0))) [input p5]
8. ! [X0] : ((~creative(X0) | ~patient(X0)) <=> (~kind(X0) & ~patient(X0))) [input p7]
9. ! [X0] : ((creative(X0) | generous(X0... | 0 |
Everyone who is either not old or creative is either calm or patient and vice versa.
Everyone who is either not old or wise is both funny and quiet.
Everyone who is not old is both not creative and not happy.
Everyone who is either kind or not rich is calm.
If paul is not quiet then john is quiet.
If someone is both wi... | Lucy is not wise. | contradiction | (![X]:((~old(X)<~>creative(X))<=>(calm(X)<~>patient(X))))&
(![X]:((~old(X)<~>wise(X))=>(funny(X)&quiet(X))))&
(![X]:(~old(X)=>(~creative(X)&~happy(X))))&
(![X]:((kind(X)<~>~rich(X))=>calm(X)))&
((~quiet(paul))=>(quiet(john)))&
((?[X]:((wise(X)&patient(X))))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((~creative(X)&~kind(X))... | ~wise(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5286720863722849616807913
% SZS output start Proof for 5286720863722849616807913
1. ! [X0] : ((~old(X0) <~> creative(X0)) <=> (calm(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> wise(X0)) => (quiet(X0) & funny(X0))) [input p1]
3. ! [X0] : (~old(X0) => (~happy(X0) & ~creative... | 0 |
If paul is brave or not quiet then paul is not patient or happy and vice versa.
Everyone who is not creative is both not wise and not funny and vice versa.
Everyone who is either not funny or funny is either calm or kind.
If susan is either not curious or wise then someone is either funny or not humble and vice versa.
... | John is quiet. | entailment | (((brave(paul)|~quiet(paul)))<=>((~patient(paul)|happy(paul))))&
(![X]:(~creative(X)<=>(~wise(X)&~funny(X))))&
(![X]:((~funny(X)<~>funny(X))=>(calm(X)<~>kind(X))))&
(((~curious(susan)<~>wise(susan)))<=>(?[X]:((funny(X)<~>~humble(X)))))&
(![X]:((brave(X)&wise(X))<=>(patient(X)<~>~curious(X))))&
(((tall(john)<~>~strong(j... | quiet(john) | [
"p5",
"p6",
"p8",
"p9",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4126841014085180153789380
% SZS output start Proof for 4126841014085180153789380
6. (tall(john) <~> ~strong(john)) <=> ? [X0] : (~kind(X0) & curious(X0)) [input p5]
7. ! [X0] : ((~humble(X0) <~> quiet(X0)) <=> (~strong(X0) | ~creative(X0))) [input p6]
9. ? [X0] : (patient(X0) | happy(X0))... | 0 |
Everyone who is not quiet is not kind or funny.
Everyone who is not quiet is either not kind or quiet.
If alice is both kind and wise then someone is not rich or old and vice versa.
Everyone who is not generous or tall is not wise or curious.
If someone is both not kind and wise then someone is wise or not generous and... | Paul is not generous. | entailment | (![X]:(~quiet(X)=>(~kind(X)|funny(X))))&
(![X]:(~quiet(X)=>(~kind(X)<~>quiet(X))))&
(((kind(alice)&wise(alice)))<=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((funny(f... | ~generous(paul) | [
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 191332187211496622636760
% SZS output start Proof for 191332187211496622636760
6. ! [X0] : (~kind(X0) => (strong(X0) & ~generous(X0))) [input p5]
10. ! [X0] : ((creative(X0) & kind(X0)) <=> kind(X0)) [input p9]
16. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> creative(X0))) [input p15]
... | 0 |
If fred is both curious and not happy then paul is not humble.
If someone is not tall or not humble then someone is both not kind and wise and vice versa.
Everyone who is both old and tall is not old and vice versa.
Everyone who is both patient and humble is both not strong and curious.
Everyone who is not calm is both... | Susan is old. | entailment | (((curious(fred)&~happy(fred)))=>(~humble(paul)))&
((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:((old(X)&tall(X))<=>~old(X)))&
(![X]:((patient(X)&humble(X))=>(~strong(X)&curious(X))))&
(![X]:(~calm(X)<=>(~wise(X)&~curious(X))))&
(![X]:((brave(X)<~>~tall(X))<=>funny(X)))&
(![X]:((kind(X)<~>stron... | old(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4945826558440522450725814
% SZS output start Proof for 4945826558440522450725814
3. ! [X0] : ((tall(X0) & old(X0)) <=> ~old(X0)) [input p2]
24. ~old(susan) [input hypothesis]
48. ! [X0] : (((tall(X0) & old(X0)) | old(X0)) & (~old(X0) | (~tall(X0) | ~old(X0)))) [nnf transformation 3]
49. !... | 0 |
Everyone who is either creative or wise is not funny. If fred is either not funny or strong then someone is not happy or quiet. Everyone who is quiet is not calm or not kind and vice versa. If someone is either not brave or strong then someone is not old. If someone is not patient or patient then lucy is both wise and ... | Fred is funny. | neutral | (![X]:((creative(X)<~>wise(X))=>~funny(X)))&
(((~funny(fred)<~>strong(fred)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:(quiet(X)<=>(~calm(X)|~kind(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:(~old(X))))&
((?[X]:((~patient(X)|patient(X))))<=>((wise(lucy)&old(lucy))))&
(((~creative(susan)&quiet(susan)))<=>(?[X]:(patien... | funny(fred) | [] | null | 0 |
Everyone who is kind is both not tall and tall. If lucy is calm then paul is not generous. Everyone who is either not curious or rich is calm. Everyone who is rich is either not creative or not funny. If someone is either not brave or quiet then someone is curious. Everyone who is not wise or not patient is both funny ... | Paul is humble. | entailment | (![X]:(kind(X)=>(~tall(X)&tall(X))))&
((calm(lucy))=>(~generous(paul)))&
(![X]:((~curious(X)<~>rich(X))=>calm(X)))&
(![X]:(rich(X)=>(~creative(X)<~>~funny(X))))&
((?[X]:((~brave(X)<~>quiet(X))))=>(?[X]:(curious(X))))&
(![X]:((~wise(X)|~patient(X))<=>(funny(X)&~funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|curious(X)... | humble(paul) | [
"p0",
"p2",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4888544785310250763416761
% SZS output start Proof for 4888544785310250763416761
1. ! [X0] : (kind(X0) => (tall(X0) & ~tall(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> rich(X0)) => calm(X0)) [input p2]
7. ? [X0] : kind(X0) <=> ? [X0] : (curious(X0) | rich(X0)) [input p6]
9. (~calm(joh... | 0 |
If someone is either kind or wise then someone is both not old and curious and vice versa.
Everyone who is either brave or not funny is not rich or curious and vice versa.
Everyone who is brave or calm is old or rich and vice versa.
Everyone who is both calm and not humble is not generous or creative.
Everyone who is g... | Fred is old. | entailment | ((?[X]:((kind(X)<~>wise(X))))<=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((brave(X)<~>~funny(X))<=>(~rich(X)|curious(X))))&
(![X]:((brave(X)|calm(X))<=>(old(X)|rich(X))))&
(![X]:((calm(X)&~humble(X))=>(~generous(X)|creative(X))))&
(![X]:((generous(X)|~strong(X))=>(patient(X)|humble(X))))&
((?[X]:((~humble(X)<~>~patient(X)... | old(fred) | [
"p7",
"p8",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1823865893553530529353349
% SZS output start Proof for 1823865893553530529353349
8. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (~kind(X0) <~> generous(X0))) [input p7]
9. ! [X0] : ((~quiet(X0) | happy(X0)) <=> ~kind(X0)) [input p8]
12. ! [X0] : (~brave(X0) <=> (brave(X0) <~> ~happy(X0))) [... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either not funny or not rich is both not quiet and strong.
Everyone who is not patient is funny or rich and vice versa.
If alice is both humble and old then someone is stron... | Susan is not tall. | contradiction | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~quiet(X)&strong(X))))&
(![X]:(~patient(X)<=>(funny(X)|rich(X))))&
(((humble(alice)&old(alice)))=>(?[X]:(strong(X))))&
((~kind(lucy))<=>(generous(fred)))&
(((strong(fred)&happy(fred)))... | ~tall(susan) | [
"p0",
"p7",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1310629930706213703127155
% SZS output start Proof for 1310629930706213703127155
1. ! [X0] : ((~tall(X0) | ~calm(X0)) => (~funny(X0) | calm(X0))) [input p0]
8. ! [X0] : ((patient(X0) | wise(X0)) => (wise(X0) <~> ~tall(X0))) [input p7]
13. wise(susan) <=> (~funny(mary) | old(mary)) [input ... | 0 |
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