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 old or not patient is calm or not rich and vice versa.
If someone is either not creative or not tall then someone is either not rich or not curious and vice versa.
If someone is both strong and wise then mary is both not humble and not generous and vice versa.
If someone is either creative or not creati... | John is generous. | contradiction | (![X]:((old(X)|~patient(X))<=>(calm(X)|~rich(X))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((strong(X)&wise(X))))<=>((~humble(mary)&~generous(mary))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(generous(mary)))&
(((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice... | generous(john) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9130890892551105470655780
% SZS output start Proof for 9130890892551105470655780
1. ! [X0] : ((~patient(X0) | old(X0)) <=> (~rich(X0) | calm(X0))) [input p0]
7. (~patient(alice) & ~creative(alice)) <=> ? [X0] : (brave(X0) <~> wise(X0)) [input p6]
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) => p... | 0 |
Everyone who is not patient or calm is both not brave and not tall. Everyone who is strong is both calm and generous. Everyone who is both calm and tall is not generous. Everyone who is not brave is both not funny and not calm. If someone is both not generous and humble then john is both quiet and generous and vice ver... | Lucy is wise. | neutral | (![X]:((~patient(X)|calm(X))=>(~brave(X)&~tall(X))))&
(![X]:(strong(X)=>(calm(X)&generous(X))))&
(![X]:((calm(X)&tall(X))=>~generous(X)))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((happy(X)&funny(X))<=>~brave(X)))&
(![X]:((wise(X)&~wise(X))<=... | wise(lucy) | [] | null | 0 |
Everyone who is creative is not humble and vice versa.
Everyone who is both humble and not calm is not rich and vice versa.
If someone is wise then mary is both generous and curious and vice versa.
Everyone who is both happy and not creative is both not happy and not quiet.
If someone is either not brave or not rich th... | Fred is not humble. | contradiction | (![X]:(creative(X)<=>~humble(X)))&
(![X]:((humble(X)&~calm(X))<=>~rich(X)))&
((?[X]:(wise(X)))<=>((generous(mary)&curious(mary))))&
(![X]:((happy(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(?[X]:((brave(X)<~>old(X)))))&
(((calm(fred)<~>~wise(fred)))=>((quiet(lucy)|brave(lucy))))&
(![X... | ~humble(fred) | [
"p0",
"p1",
"p2",
"p3",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 33218084895419444886736
% SZS output start Proof for 33218084895419444886736
1. ! [X0] : (creative(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : ((~calm(X0) & humble(X0)) <=> ~rich(X0)) [input p1]
3. ? [X0] : wise(X0) <=> (curious(mary) & generous(mary)) [input p2]
4. ! [X0] : ((~creative(X... | 0 |
Everyone who is either brave or not old is creative or not wise and vice versa.
If someone is either humble or happy then someone is both happy and not rich.
Everyone who is either curious or strong is either calm or not happy and vice versa.
Everyone who is either not kind or brave is happy.
Everyone who is both not k... | Paul is curious. | entailment | (![X]:((brave(X)<~>~old(X))<=>(creative(X)|~wise(X))))&
((?[X]:((humble(X)<~>happy(X))))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((curious(X)<~>strong(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((~kind(X)<~>brave(X))=>happy(X)))&
(![X]:((~kind(X)&humble(X))=>~strong(X)))&
(![X]:(generous(X)<=>(old(X)&curious(X))))&
((?[X]:(~wi... | curious(paul) | [
"p2",
"p9",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3300926283250880007639619
% SZS output start Proof for 3300926283250880007639619
3. ! [X0] : ((curious(X0) <~> strong(X0)) <=> (calm(X0) <~> ~happy(X0))) [input p2]
10. ! [X0] : (happy(X0) <=> curious(X0)) [input p9]
11. ! [X0] : ((creative(X0) | ~tall(X0)) => calm(X0)) [input p10]
14. ! ... | 0 |
Everyone who is not rich or strong is both not wise and patient. Everyone who is brave or humble is either wise or creative. Everyone who is both rich and creative is not rich and vice versa. If lucy is both not wise and curious then someone is both not old and not strong and vice versa. If someone is not old or brave ... | Alice is not generous. | neutral | (![X]:((~rich(X)|strong(X))=>(~wise(X)&patient(X))))&
(![X]:((brave(X)|humble(X))=>(wise(X)<~>creative(X))))&
(![X]:((rich(X)&creative(X))<=>~rich(X)))&
(((~wise(lucy)&curious(lucy)))<=>(?[X]:((~old(X)&~strong(X)))))&
((?[X]:((~old(X)|brave(X))))=>((happy(mary)&creative(mary))))&
(![X]:(rich(X)<=>(happy(X)<~>generous(X... | ~generous(alice) | [] | null | 0 |
If someone is quiet then lucy is happy or not tall and vice versa. If someone is not creative then someone is not happy or kind and vice versa. Everyone who is humble is not funny and vice versa. Everyone who is strong is either not calm or not rich and vice versa. Everyone who is both brave and creative is curious or ... | John is not funny. | entailment | ((?[X]:(quiet(X)))<=>((happy(lucy)|~tall(lucy))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:(humble(X)<=>~funny(X)))&
(![X]:(strong(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((brave(X)&creative(X))=>(curious(X)|humble(X))))&
(![X]:((~curious(X)&~kind(X))<=>rich(X)))&
((?[X]:((~quiet(X)<~>rich(X))))=>(?[X... | ~funny(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2591031022629981553860287
% SZS output start Proof for 2591031022629981553860287
12. ! [X0] : (funny(X0) <=> (~curious(X0) & ~funny(X0))) [input p11]
25. funny(john) [input hypothesis]
64. ! [X0] : ((funny(X0) | (curious(X0) | funny(X0))) & ((~curious(X0) & ~funny(X0)) | ~funny(X0))) [nnf... | 0 |
Everyone who is funny or not strong is not tall.
Everyone who is strong or not wise is both humble and not calm and vice versa.
Everyone who is either not curious or old is generous or not funny.
Everyone who is both wise and not calm is not patient or not brave and vice versa.
If someone is not wise or not creative th... | Fred is patient. | entailment | (![X]:((funny(X)|~strong(X))=>~tall(X)))&
(![X]:((strong(X)|~wise(X))<=>(humble(X)&~calm(X))))&
(![X]:((~curious(X)<~>old(X))=>(generous(X)|~funny(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)|~brave(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
((?[X]:((~creative(X)|quiet(X))))<=>(?[... | patient(fred) | [
"p0",
"p3",
"p6",
"p10",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 966856292054155500380990
% SZS output start Proof for 966856292054155500380990
1. ! [X0] : ((~strong(X0) | funny(X0)) => ~tall(X0)) [input p0]
4. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~brave(X0) | ~patient(X0))) [input p3]
7. ! [X0] : ((wise(X0) & generous(X0)) <=> (humble(X0) <~> ~humble... | 0 |
Everyone who is either not generous or not patient is either humble or wise.
If susan is not funny then someone is not quiet and vice versa.
Everyone who is both funny and not strong is curious and vice versa.
Everyone who is either tall or wise is both not funny and funny.
Everyone who is funny or not wise is not stro... | Fred is humble. | entailment | (![X]:((~generous(X)<~>~patient(X))=>(humble(X)<~>wise(X))))&
((~funny(susan))<=>(?[X]:(~quiet(X))))&
(![X]:((funny(X)&~strong(X))<=>curious(X)))&
(![X]:((tall(X)<~>wise(X))=>(~funny(X)&funny(X))))&
(![X]:((funny(X)|~wise(X))=>~strong(X)))&
(![X]:(~quiet(X)<=>(~happy(X)|~old(X))))&
(![X]:((~tall(X)<~>~happy(X))=>(~rich... | humble(fred) | [
"p3",
"p5",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7906616801924888381432698
% SZS output start Proof for 7906616801924888381432698
4. ! [X0] : ((tall(X0) <~> wise(X0)) => (funny(X0) & ~funny(X0))) [input p3]
6. ! [X0] : (~quiet(X0) <=> (~old(X0) | ~happy(X0))) [input p5]
12. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> ~wise(X0)) [input p11]
... | 0 |
Everyone who is not tall or happy is kind and vice versa. If john is both brave and rich then susan is either humble or not curious. Everyone who is tall or not generous is both curious and humble. If susan is both quiet and tall then lucy is not rich. Everyone who is both creative and not tall is not quiet or not gene... | John is strong. | contradiction | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((brave(john)&rich(john)))=>((humble(susan)<~>~curious(susan))))&
(![X]:((tall(X)|~generous(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
(... | strong(john) | [
"p2",
"p8",
"p9",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9109329764179815196780043
% SZS output start Proof for 9109329764179815196780043
3. ! [X0] : ((~generous(X0) | tall(X0)) => (humble(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~happy(X0) | tall(X0)) <=> (curious(X0) <~> wise(X0))) [input p8]
10. ! [X0] : ((wise(X0) & ~creative(X0)) <=> s... | 0 |
Everyone who is funny or not old is not brave or not humble.
Everyone who is kind is both kind and not patient.
If someone is both humble and not rich then fred is not calm.
Everyone who is both not kind and happy is both not old and not humble.
If alice is not old then someone is humble.
Everyone who is either funny o... | Susan is strong. | neutral | (![X]:((funny(X)|~old(X))=>(~brave(X)|~humble(X))))&
(![X]:(kind(X)=>(kind(X)&~patient(X))))&
((?[X]:((humble(X)&~rich(X))))=>(~calm(fred)))&
(![X]:((~kind(X)&happy(X))=>(~old(X)&~humble(X))))&
((~old(alice))=>(?[X]:(humble(X))))&
(![X]:((funny(X)<~>generous(X))=>quiet(X)))&
(![X]:(~creative(X)=>(~tall(X)<~>~old(X))))&... | strong(susan) | [] | null | 0 |
If mary is wise then someone is both quiet and curious and vice versa.
If someone is funny or quiet then paul is both happy and generous.
Everyone who is either not kind or humble is creative or not humble.
If someone is not tall then someone is either not quiet or rich.
If alice is not humble or not funny then someone... | Mary is curious. | entailment | ((wise(mary))<=>(?[X]:((quiet(X)&curious(X)))))&
((?[X]:((funny(X)|quiet(X))))=>((happy(paul)&generous(paul))))&
(![X]:((~kind(X)<~>humble(X))=>(creative(X)|~humble(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~quiet(X)<~>rich(X)))))&
(((~humble(alice)|~funny(alice)))=>(?[X]:(rich(X))))&
(![X]:((~calm(X)&~curious(X))<=>(~funny(X... | curious(mary) | [
"p5",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2710462115513278305230768
% SZS output start Proof for 2710462115513278305230768
6. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> (calm(X0) | ~funny(X0))) [input p5]
15. ! [X0] : (patient(X0) <=> funny(X0)) [input p14]
20. patient(mary) [input p19]
23. ~curious(mary) [input hypothesis]
45. ! [... | 0 |
If someone is not brave then someone is not creative or not wise and vice versa.
If alice is not quiet or not rich then someone is not creative.
If someone is both not rich and rich then paul is not patient.
Everyone who is both not curious and not patient is not generous and vice versa.
If fred is not calm then someon... | Alice is wise. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((~creative(X)|~wise(X)))))&
(((~quiet(alice)|~rich(alice)))=>(?[X]:(~creative(X))))&
((?[X]:((~rich(X)&rich(X))))=>(~patient(paul)))&
(![X]:((~curious(X)&~patient(X))<=>~generous(X)))&
((~calm(fred))=>(?[X]:((creative(X)<~>quiet(X)))))&
(![X]:((~happy(X)&wise(X))<=>(~funny(X)|~patient(X))))... | wise(alice) | [
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3476562111446257986754897
% SZS output start Proof for 3476562111446257986754897
4. ! [X0] : ((~patient(X0) & ~curious(X0)) <=> ~generous(X0)) [input p3]
6. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (~patient(X0) | ~funny(X0))) [input p5]
8. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (~generou... | 0 |
Everyone who is either not generous or creative is not old and vice versa.
If someone is humble then paul is either curious or not wise and vice versa.
If john is either funny or not calm then susan is not quiet or kind and vice versa.
Everyone who is not calm is rich.
If someone is curious or not calm then someone is ... | John is not wise. | neutral | (![X]:((~generous(X)<~>creative(X))<=>~old(X)))&
((?[X]:(humble(X)))<=>((curious(paul)<~>~wise(paul))))&
(((funny(john)<~>~calm(john)))<=>((~quiet(susan)|kind(susan))))&
(![X]:(~calm(X)=>rich(X)))&
((?[X]:((curious(X)|~calm(X))))=>(?[X]:((~tall(X)&brave(X)))))&
(((strong(fred)|generous(fred)))=>(?[X]:((creative(X)|~cre... | ~wise(john) | [] | null | 0 |
Everyone who is funny or brave is humble and vice versa.
Everyone who is either not old or tall is both not quiet and wise and vice versa.
Everyone who is both not brave and curious is either not strong or creative.
Everyone who is either brave or wise is rich or not funny.
If someone is either not kind or not wise the... | Mary is not creative. | neutral | (![X]:((funny(X)|brave(X))<=>humble(X)))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~brave(X)&curious(X))=>(~strong(X)<~>creative(X))))&
(![X]:((brave(X)<~>wise(X))=>(rich(X)|~funny(X))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:((curious(X)&~happy(X)))))&
((funny(susan))=>((quiet(paul)|~tall(paul))))... | ~creative(mary) | [] | null | 0 |
If someone is both not funny and not happy then alice is not calm or calm and vice versa. Everyone who is wise or not quiet is both strong and not humble. Everyone who is humble is either not generous or kind and vice versa. If someone is both old and not creative then someone is not rich or funny. Everyone who is not ... | Lucy is not tall. | entailment | ((?[X]:((~funny(X)&~happy(X))))<=>((~calm(alice)|calm(alice))))&
(![X]:((wise(X)|~quiet(X))=>(strong(X)&~humble(X))))&
(![X]:(humble(X)<=>(~generous(X)<~>kind(X))))&
((?[X]:((old(X)&~creative(X))))=>(?[X]:((~rich(X)|funny(X)))))&
(![X]:((~curious(X)|strong(X))=>~kind(X)))&
(![X]:((wise(X)&~happy(X))<=>(~funny(X)&~tall(... | ~tall(lucy) | [
"p1",
"p4",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 943369914516528018817468
% SZS output start Proof for 943369914516528018817468
2. ! [X0] : ((~quiet(X0) | wise(X0)) => (~humble(X0) & strong(X0))) [input p1]
5. ! [X0] : ((strong(X0) | ~curious(X0)) => ~kind(X0)) [input p4]
10. ! [X0] : (~humble(X0) <=> quiet(X0)) [input p9]
12. ! [X0] : ... | 0 |
Everyone who is either kind or strong is either not tall or not generous.
If someone is not curious then mary is curious or not creative.
If someone is not kind then someone is both calm and not funny and vice versa.
Everyone who is either not rich or not quiet is not funny and vice versa.
If someone is not old or not ... | Mary is funny. | neutral | (![X]:((kind(X)<~>strong(X))=>(~tall(X)<~>~generous(X))))&
((?[X]:(~curious(X)))=>((curious(mary)|~creative(mary))))&
((?[X]:(~kind(X)))<=>(?[X]:((calm(X)&~funny(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>~funny(X)))&
((?[X]:((~old(X)|~happy(X))))<=>(?[X]:(~calm(X))))&
(![X]:((patient(X)<~>~kind(X))<=>(patient(X)|~quiet(X... | funny(mary) | [] | null | 0 |
Everyone who is either not brave or calm is both not calm and funny.
Everyone who is both not happy and tall is either tall or not tall.
If fred is either not creative or not funny then mary is not funny or not strong and vice versa.
Everyone who is not funny or not generous is both kind and strong.
Everyone who is bot... | Fred is not quiet. | entailment | (![X]:((~brave(X)<~>calm(X))=>(~calm(X)&funny(X))))&
(![X]:((~happy(X)&tall(X))=>(tall(X)<~>~tall(X))))&
(((~creative(fred)<~>~funny(fred)))<=>((~funny(mary)|~strong(mary))))&
(![X]:((~funny(X)|~generous(X))=>(kind(X)&strong(X))))&
(![X]:((~calm(X)&~generous(X))<=>~kind(X)))&
(((rich(susan)|~strong(susan)))=>((~curious... | ~quiet(fred) | [
"p0",
"p6",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1409409792286346958626302
% SZS output start Proof for 1409409792286346958626302
1. ! [X0] : ((~brave(X0) <~> calm(X0)) => (funny(X0) & ~calm(X0))) [input p0]
7. (patient(fred) <~> ~quiet(fred)) <=> ? [X0] : (~brave(X0) | ~patient(X0)) [input p6]
10. (~creative(paul) | ~brave(paul)) => cu... | 0 |
If someone is funny then fred is not old or not rich.
If someone is either rich or brave then someone is both not brave and not patient and vice versa.
If mary is not kind then someone is not funny and vice versa.
If alice is tall then john is not creative or not old.
Everyone who is humble is both quiet and funny and ... | Lucy is not curious. | neutral | ((?[X]:(funny(X)))=>((~old(fred)|~rich(fred))))&
((?[X]:((rich(X)<~>brave(X))))<=>(?[X]:((~brave(X)&~patient(X)))))&
((~kind(mary))<=>(?[X]:(~funny(X))))&
((tall(alice))=>((~creative(john)|~old(john))))&
(![X]:(humble(X)<=>(quiet(X)&funny(X))))&
(![X]:((humble(X)&~tall(X))<=>brave(X)))&
((?[X]:((~funny(X)|~happy(X))))=... | ~curious(lucy) | [] | null | 0 |
Everyone who is both not curious and old is both calm and creative and vice versa. Everyone who is both not calm and calm is either not quiet or not happy. If fred is not humble then fred is humble. Everyone who is either brave or not creative is both not creative and wise and vice versa. If susan is both not strong an... | Mary is creative. | neutral | (![X]:((~curious(X)&old(X))<=>(calm(X)&creative(X))))&
(![X]:((~calm(X)&calm(X))=>(~quiet(X)<~>~happy(X))))&
((~humble(fred))=>(humble(fred)))&
(![X]:((brave(X)<~>~creative(X))<=>(~creative(X)&wise(X))))&
(((~strong(susan)&~happy(susan)))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(generous(X)<=>(old(X)<~>creative(X))))&... | creative(mary) | [] | null | 0 |
Everyone who is not creative or not kind is both not kind and not curious and vice versa. If someone is wise or not creative then fred is either generous or humble and vice versa. Everyone who is brave is both not happy and not old and vice versa. Everyone who is not tall or quiet is not quiet or humble. If someone is ... | Lucy is not brave. | entailment | (![X]:((~creative(X)|~kind(X))<=>(~kind(X)&~curious(X))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall(X)|quiet(X))=>(~quiet(X)|humble(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(kind(X)|~quiet(X))))&
(![X]:((~g... | ~brave(lucy) | [
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 783902791276163612454117
% SZS output start Proof for 783902791276163612454117
4. ! [X0] : ((quiet(X0) | ~tall(X0)) => (humble(X0) | ~quiet(X0))) [input p3]
6. ! [X0] : (~brave(X0) <=> (~quiet(X0) | kind(X0))) [input p5]
7. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (creative(X0) & ~str... | 0 |
If someone is either patient or not rich then someone is tall and vice versa. Everyone who is creative or not generous is quiet or not patient. If fred is both not funny and not tall then someone is both old and not brave. If someone is either curious or old then alice is both old and humble and vice versa. Everyone wh... | Fred is tall. | neutral | ((?[X]:((patient(X)<~>~rich(X))))<=>(?[X]:(tall(X))))&
(![X]:((creative(X)|~generous(X))=>(quiet(X)|~patient(X))))&
(((~funny(fred)&~tall(fred)))=>(?[X]:((old(X)&~brave(X)))))&
((?[X]:((curious(X)<~>old(X))))<=>((old(alice)&humble(alice))))&
(![X]:((~wise(X)|~kind(X))<=>~quiet(X)))&
((~funny(susan))<=>(?[X]:((generous(... | tall(fred) | [] | null | 0 |
Everyone who is either not calm or not generous is either not kind or brave. Everyone who is either happy or not rich is both not brave and not strong. Everyone who is both not rich and not quiet is curious and vice versa. Everyone who is either happy or humble is brave. If fred is both not rich and tall then someone i... | John is happy. | contradiction | (![X]:((~calm(X)<~>~generous(X))=>(~kind(X)<~>brave(X))))&
(![X]:((happy(X)<~>~rich(X))=>(~brave(X)&~strong(X))))&
(![X]:((~rich(X)&~quiet(X))<=>curious(X)))&
(![X]:((happy(X)<~>humble(X))=>brave(X)))&
(((~rich(fred)&tall(fred)))<=>(?[X]:((quiet(X)|~patient(X)))))&
((?[X]:((~curious(X)&~strong(X))))=>(?[X]:((happy(X)|~... | happy(john) | [
"p2",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2071375169097401150306119
% SZS output start Proof for 2071375169097401150306119
3. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> curious(X0)) [input p2]
10. ! [X0] : (creative(X0) => (strong(X0) <~> ~happy(X0))) [input p9]
12. ! [X0] : (~creative(X0) <=> rich(X0)) [input p11]
13. ! [X0] : (~ric... | 0 |
Everyone who is either humble or not quiet is not wise and vice versa. If someone is not tall then someone is either old or quiet and vice versa. If someone is both rich and funny then susan is happy. If john is not strong then someone is tall or not curious. Everyone who is kind is both humble and not kind. If mary is... | John is wise. | contradiction | (![X]:((humble(X)<~>~quiet(X))<=>~wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((rich(X)&funny(X))))=>(happy(susan)))&
((~strong(john))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:(kind(X)=>(humble(X)&~kind(X))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>o... | wise(john) | [
"p0",
"p1",
"p7",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5099983034964609546985823
% SZS output start Proof for 5099983034964609546985823
1. ! [X0] : ((humble(X0) <~> ~quiet(X0)) <=> ~wise(X0)) [input p0]
2. ? [X0] : ~tall(X0) <=> ? [X0] : (old(X0) <~> quiet(X0)) [input p1]
8. ! [X0] : (~brave(X0) <=> (brave(X0) | tall(X0))) [input p7]
11. ! [X... | 0 |
If susan is either old or quiet then someone is old or not strong and vice versa. If mary is either not curious or generous then mary is either tall or happy. If someone is not curious or tall then someone is humble or calm. If someone is not strong or strong then mary is patient or not wise and vice versa. If someone ... | Paul is brave. | entailment | (((old(susan)<~>quiet(susan)))<=>(?[X]:((old(X)|~strong(X)))))&
(((~curious(mary)<~>generous(mary)))=>((tall(mary)<~>happy(mary))))&
((?[X]:((~curious(X)|tall(X))))=>(?[X]:((humble(X)|calm(X)))))&
((?[X]:((~strong(X)|strong(X))))<=>((patient(mary)|~wise(mary))))&
((?[X]:((calm(X)&~kind(X))))<=>(?[X]:(~wise(X))))&
((wis... | brave(paul) | [
"p10",
"p11",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7337198448647845750825932
% SZS output start Proof for 7337198448647845750825932
11. ! [X0] : ((~happy(X0) & generous(X0)) => (~generous(X0) & patient(X0))) [input p10]
12. ? [X0] : (~old(X0) | tall(X0)) => (~patient(paul) & ~happy(paul)) [input p11]
16. ! [X0] : ((generous(X0) <~> ~brave... | 0 |
If john is not brave then someone is both not quiet and not patient and vice versa. Everyone who is not patient or not quiet is either brave or happy and vice versa. Everyone who is calm or creative is both not kind and old and vice versa. If someone is brave then someone is kind. Everyone who is both patient and tall ... | Susan is not creative. | neutral | ((~brave(john))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>(brave(X)<~>happy(X))))&
(![X]:((calm(X)|creative(X))<=>(~kind(X)&old(X))))&
((?[X]:(brave(X)))=>(?[X]:(kind(X))))&
(![X]:((patient(X)&tall(X))=>(~brave(X)&~strong(X))))&
(![X]:((~old(X)<~>~curious(X))=>tall(X)))&
((~quiet(fred))<=>((... | ~creative(susan) | [] | null | 0 |
Everyone who is either humble or quiet is both rich and not patient.
Everyone who is not happy is brave or not generous and vice versa.
Everyone who is tall or calm is patient or wise.
Everyone who is either tall or funny is not funny or strong and vice versa.
Everyone who is wise is either not humble or calm and vice ... | Fred is not tall. | contradiction | (![X]:((humble(X)<~>quiet(X))=>(rich(X)&~patient(X))))&
(![X]:(~happy(X)<=>(brave(X)|~generous(X))))&
(![X]:((tall(X)|calm(X))=>(patient(X)|wise(X))))&
(![X]:((tall(X)<~>funny(X))<=>(~funny(X)|strong(X))))&
(![X]:(wise(X)<=>(~humble(X)<~>calm(X))))&
(![X]:((~tall(X)&~kind(X))<=>(curious(X)<~>funny(X))))&
(![X]:((~brave... | ~tall(fred) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6246607586693040403320906
% SZS output start Proof for 6246607586693040403320906
2. ! [X0] : (~happy(X0) <=> (~generous(X0) | brave(X0))) [input p1]
15. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(X0))) [input p14]
22. ~tall(fred) [input hypothesis]
34. ! [X0] : ((~happy(... | 0 |
If paul is not happy or quiet then someone is not wise or not quiet. Everyone who is not happy or not old is not kind or not patient and vice versa. If fred is not happy or calm then mary is both happy and patient and vice versa. Everyone who is either not funny or patient is both not funny and not curious. If someone ... | Fred is humble. | neutral | (((~happy(paul)|quiet(paul)))=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:((~happy(X)|~old(X))<=>(~kind(X)|~patient(X))))&
(((~happy(fred)|calm(fred)))<=>((happy(mary)&patient(mary))))&
(![X]:((~funny(X)<~>patient(X))=>(~funny(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((~creativ... | humble(fred) | [] | null | 0 |
Everyone who is both not wise and not funny is not kind or calm and vice versa.
Everyone who is either not wise or not generous is humble and vice versa.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not br... | Fred is patient. | contradiction | (![X]:((~wise(X)&~funny(X))<=>(~kind(X)|calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>humble(X)))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~s... | patient(fred) | [
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 272413696175389931266665
% SZS output start Proof for 272413696175389931266665
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~generous(X0))) [input p3]
5. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((calm(X0) | curious(X0)) <=> (generous(X0) & humble(X0))) [input ... | 0 |
Everyone who is either not curious or old is either quiet or not old.
If paul is either tall or not calm then someone is humble or not quiet.
Everyone who is both generous and strong is both not humble and not happy.
Everyone who is not rich or strong is funny.
Everyone who is both not rich and brave is tall and vice v... | Lucy is strong. | entailment | (![X]:((~curious(X)<~>old(X))=>(quiet(X)<~>~old(X))))&
(((tall(paul)<~>~calm(paul)))=>(?[X]:((humble(X)|~quiet(X)))))&
(![X]:((generous(X)&strong(X))=>(~humble(X)&~happy(X))))&
(![X]:((~rich(X)|strong(X))=>funny(X)))&
(![X]:((~rich(X)&brave(X))<=>tall(X)))&
(![X]:((~strong(X)|kind(X))=>(~old(X)<~>~generous(X))))&
(![X]... | strong(lucy) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7986144511791340865405020
% SZS output start Proof for 7986144511791340865405020
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> tall(X0)) [input p4]
15. ? [X0] : ~strong(X0) => ? [X0] : (rich(X0) & tall(X0)) [input p14]
22. ~strong(lucy) [input hypothesis]
25. ? [X0] : ~strong(X0) => ? [X1] : (... | 0 |
Everyone who is not happy is not creative or not funny.
If fred is both patient and brave then susan is not kind or not generous and vice versa.
If someone is either happy or not rich then someone is not quiet or not happy and vice versa.
Everyone who is both kind and not rich is either wise or not rich.
Everyone who i... | Susan is not kind. | contradiction | (![X]:(~happy(X)=>(~creative(X)|~funny(X))))&
(((patient(fred)&brave(fred)))<=>((~kind(susan)|~generous(susan))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((~quiet(X)|~happy(X)))))&
(![X]:((kind(X)&~rich(X))=>(wise(X)<~>~rich(X))))&
(![X]:((~patient(X)<~>strong(X))=>funny(X)))&
(![X]:(old(X)=>(humble(X)<~>calm(X))))&
(... | ~kind(susan) | [
"p1",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3206285186327618166465730
% SZS output start Proof for 3206285186327618166465730
2. (brave(fred) & patient(fred)) <=> (~generous(susan) | ~kind(susan)) [input p1]
8. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~brave(X0)) [input p7]
14. ! [X0] : ((~brave(X0) | ~tall(X0)) => (calm(X0) & ~brave(... | 0 |
Everyone who is not humble or not tall is both generous and strong and vice versa. Everyone who is either not calm or not generous is either not kind or brave. Everyone who is either happy or not rich is both not brave and not strong. Everyone who is both not rich and not quiet is curious and vice versa. Everyone who i... | John is not curious. | entailment | (![X]:((~humble(X)|~tall(X))<=>(generous(X)&strong(X))))&
(![X]:((~calm(X)<~>~generous(X))=>(~kind(X)<~>brave(X))))&
(![X]:((happy(X)<~>~rich(X))=>(~brave(X)&~strong(X))))&
(![X]:((~rich(X)&~quiet(X))<=>curious(X)))&
(![X]:((happy(X)<~>humble(X))=>brave(X)))&
(((~rich(fred)&tall(fred)))<=>(?[X]:((quiet(X)|~patient(X)))... | ~curious(john) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 43196886285712885655570
% SZS output start Proof for 43196886285712885655570
1. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (strong(X0) & generous(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~rich(X0)) => (~strong(X0) & ~brave(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> curiou... | 0 |
If someone is not funny then someone is both funny and calm and vice versa.
Everyone who is either not funny or not strong is not rich.
Everyone who is both not generous and humble is not patient and vice versa.
If fred is humble or not funny then someone is creative.
If mary is brave or tall then someone is both not c... | Fred is generous. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:((funny(X)&calm(X)))))&
(![X]:((~funny(X)<~>~strong(X))=>~rich(X)))&
(![X]:((~generous(X)&humble(X))<=>~patient(X)))&
(((humble(fred)|~funny(fred)))=>(?[X]:(creative(X))))&
(((brave(mary)|tall(mary)))<=>(?[X]:((~curious(X)&~old(X)))))&
(((tall(john)<~>~wise(john)))<=>(~old(alice)))&
((?[X]:(... | generous(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5048618109141670798298277
% SZS output start Proof for 5048618109141670798298277
19. generous(fred) [input p18]
25. ~generous(fred) [input hypothesis]
119. generous(fred) [cnf transformation 19]
126. ~generous(fred) [cnf transformation 25]
307. $false [subsumption resolution 126,119]
% SZ... | 0 |
If someone is both not quiet and not patient then paul is rich and vice versa. Everyone who is either wise or not strong is not rich or calm. Everyone who is humble is both happy and brave. Everyone who is not calm is not quiet or not funny. If someone is either quiet or generous then alice is not brave or not rich. If... | Paul is creative. | entailment | ((?[X]:((~quiet(X)&~patient(X))))<=>(rich(paul)))&
(![X]:((wise(X)<~>~strong(X))=>(~rich(X)|calm(X))))&
(![X]:(humble(X)=>(happy(X)&brave(X))))&
(![X]:(~calm(X)=>(~quiet(X)|~funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>((~brave(alice)|~rich(alice))))&
((~humble(john))=>((~humble(mary)<~>humble(mary))))&
((?[X]:((ri... | creative(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1574713706431126233320247
% SZS output start Proof for 1574713706431126233320247
3. ! [X0] : (humble(X0) => (brave(X0) & happy(X0))) [input p2]
8. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (~brave(X0) & humble(X0))) [input p7]
23. ~creative(paul) [input hypothesis]
31. ! [X0] : ((brave... | 0 |
If alice is either old or not tall then someone is both patient and calm. Everyone who is either rich or not happy is both not rich and not old and vice versa. Everyone who is either creative or not tall is both strong and not old. If susan is both not funny and wise then john is either not happy or brave. Everyone who... | Mary is not curious. | contradiction | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&calm(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~rich(X)&~old(X))))&
(![X]:((creative(X)<~>~tall(X))=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X))<=>(~old(X)<~>~creative(X))))&
(![X]:((brave(X)<~>~ta... | ~curious(mary) | [
"p1",
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 188771178697133873126764
% SZS output start Proof for 188771178697133873126764
2. ! [X0] : ((rich(X0) <~> ~happy(X0)) <=> (~old(X0) & ~rich(X0))) [input p1]
4. (wise(susan) & ~funny(susan)) => (~happy(john) <~> brave(john)) [input p3]
8. (curious(mary) & ~kind(mary)) <=> ? [X0] : (~brave(... | 0 |
If someone is curious or strong then someone is both not generous and happy.
Everyone who is not brave or creative is both not rich and not wise and vice versa.
If someone is either not patient or calm then someone is both happy and not calm.
Everyone who is kind or not happy is both wise and not old and vice versa.
If... | Mary is not curious. | contradiction | ((?[X]:((curious(X)|strong(X))))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:((~brave(X)|creative(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((kind(X)|~happy(X))<=>(wise(X)&~old(X))))&
((?[X]:(~kind(X)))<=>((patient(alice)|~brave(alice))))&
(![X]:((~creative(X)|ol... | ~curious(mary) | [
"p1",
"p3",
"p5",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4459103112013756168937863
% SZS output start Proof for 4459103112013756168937863
2. ! [X0] : ((creative(X0) | ~brave(X0)) <=> (~wise(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | kind(X0)) <=> (~old(X0) & wise(X0))) [input p3]
6. ! [X0] : ((old(X0) | ~creative(X0)) <=> (~strong(... | 0 |
If someone is not strong then someone is either not rich or brave.
Everyone who is tall is both creative and funny and vice versa.
If paul is both calm and not rich then paul is both not strong and not happy.
Everyone who is both happy and not brave is not humble or humble and vice versa.
Everyone who is old or not bra... | Paul is not strong. | neutral | ((?[X]:(~strong(X)))=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:(tall(X)<=>(creative(X)&funny(X))))&
(((calm(paul)&~rich(paul)))=>((~strong(paul)&~happy(paul))))&
(![X]:((happy(X)&~brave(X))<=>(~humble(X)|humble(X))))&
(![X]:((old(X)|~brave(X))=>(~quiet(X)|~strong(X))))&
(![X]:((~kind(X)|~happy(X))=>(curious(X)|~wise(X)))... | ~strong(paul) | [] | null | 0 |
If fred is not patient or not old then someone is either tall or humble and vice versa. Everyone who is either funny or not kind is both not tall and not creative and vice versa. If lucy is not old then someone is either not old or not brave. Everyone who is both kind and not kind is not kind. If someone is curious the... | Susan is not funny. | contradiction | (((~patient(fred)|~old(fred)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~tall(X)&~creative(X))))&
((~old(lucy))=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((kind(X)&~kind(X))=>~kind(X)))&
((?[X]:(curious(X)))<=>((creative(susan)&~kind(susan))))&
(![X]:(creative(X)=>(quiet(X)&calm(X))))&
(((~patie... | ~funny(susan) | [
"p1",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 354499414128854486299363
% SZS output start Proof for 354499414128854486299363
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~creative(X0) & ~tall(X0))) [input p1]
5. ? [X0] : curious(X0) <=> (~kind(susan) & creative(susan)) [input p4]
17. curious(lucy) & happy(lucy) [input p16]
25. ~funny(... | 0 |
Everyone who is not wise or not rich is either wise or strong and vice versa. If someone is not brave or not rich then lucy is curious and vice versa. Everyone who is either brave or not brave is either creative or not humble. Everyone who is either not rich or creative is either funny or happy. If fred is either not g... | Lucy is not kind. | neutral | (![X]:((~wise(X)|~rich(X))<=>(wise(X)<~>strong(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(curious(lucy)))&
(![X]:((brave(X)<~>~brave(X))=>(creative(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(funny(X)<~>happy(X))))&
(((~generous(fred)<~>~curious(fred)))<=>(rich(lucy)))&
(![X]:((~rich(X)&rich(X))<=>~tall(X)))&
(... | ~kind(lucy) | [] | null | 0 |
Everyone who is both not brave and not kind is either not kind or happy.
Everyone who is both tall and not generous is not humble and vice versa.
Everyone who is not generous is quiet.
Everyone who is either tall or not tall is not rich or not calm.
Everyone who is not creative is not funny or creative.
Everyone who is... | Fred is creative. | entailment | (![X]:((~brave(X)&~kind(X))=>(~kind(X)<~>happy(X))))&
(![X]:((tall(X)&~generous(X))<=>~humble(X)))&
(![X]:(~generous(X)=>quiet(X)))&
(![X]:((tall(X)<~>~tall(X))=>(~rich(X)|~calm(X))))&
(![X]:(~creative(X)=>(~funny(X)|creative(X))))&
(![X]:(~kind(X)<=>~humble(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>((~quiet(paul)|~old... | creative(fred) | [
"p1",
"p2",
"p4",
"p5",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1795022795383231013798064
% SZS output start Proof for 1795022795383231013798064
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> ~humble(X0)) [input p1]
3. ! [X0] : (~generous(X0) => quiet(X0)) [input p2]
5. ! [X0] : (~creative(X0) => (creative(X0) | ~funny(X0))) [input p4]
6. ! [X0] : (~kind... | 0 |
If mary is both patient and creative then someone is old or curious.
Everyone who is not funny is both creative and not creative.
If someone is kind then someone is not kind or curious.
Everyone who is both not wise and quiet is both not quiet and not rich.
Everyone who is not rich or not happy is not happy or tall.
Ev... | Lucy is creative. | neutral | (((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X))))&
(![X]:((generous(X)|kind(X))=>(~kind(X)&creative(X... | creative(lucy) | [] | null | 0 |
Everyone who is happy or not quiet is not funny or curious.
If fred is curious then susan is either not quiet or wise.
Everyone who is either generous or tall is both wise and not funny and vice versa.
If fred is both happy and not kind then paul is not old.
Everyone who is not patient or curious is quiet.
If someone i... | Lucy is not funny. | entailment | (![X]:((happy(X)|~quiet(X))=>(~funny(X)|curious(X))))&
((curious(fred))=>((~quiet(susan)<~>wise(susan))))&
(![X]:((generous(X)<~>tall(X))<=>(wise(X)&~funny(X))))&
(((happy(fred)&~kind(fred)))=>(~old(paul)))&
(![X]:((~patient(X)|curious(X))=>quiet(X)))&
((?[X]:((kind(X)&~quiet(X))))=>(?[X]:(~creative(X))))&
(((strong(fr... | ~funny(lucy) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4939254738829194150208183
% SZS output start Proof for 4939254738829194150208183
1. ! [X0] : ((~quiet(X0) | happy(X0)) => (curious(X0) | ~funny(X0))) [input p0]
5. ! [X0] : ((curious(X0) | ~patient(X0)) => quiet(X0)) [input p4]
12. ! [X0] : (~quiet(X0) <=> (~brave(X0) <~> brave(X0))) [inp... | 0 |
Everyone who is not creative or not brave is either not wise or happy and vice versa.
Everyone who is curious is not happy or funny and vice versa.
Everyone who is brave is both rich and not strong and vice versa.
If someone is both funny and brave then paul is both not tall and not funny.
Everyone who is either wise o... | Mary is curious. | entailment | (![X]:((~creative(X)|~brave(X))<=>(~wise(X)<~>happy(X))))&
(![X]:(curious(X)<=>(~happy(X)|funny(X))))&
(![X]:(brave(X)<=>(rich(X)&~strong(X))))&
((?[X]:((funny(X)&brave(X))))=>((~tall(paul)&~funny(paul))))&
(![X]:((wise(X)<~>~calm(X))=>(~strong(X)<~>quiet(X))))&
(((~happy(paul)|~funny(paul)))=>((~patient(fred)|~rich(fr... | curious(mary) | [
"p1",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1660660694857442654402955
% SZS output start Proof for 1660660694857442654402955
2. ! [X0] : (curious(X0) <=> (funny(X0) | ~happy(X0))) [input p1]
13. ! [X0] : (~calm(X0) <=> (funny(X0) <~> ~curious(X0))) [input p12]
14. ! [X0] : ((~kind(X0) | ~calm(X0)) => (funny(X0) & ~generous(X0))) [i... | 0 |
If someone is both not curious and kind then someone is both not old and not quiet and vice versa.
Everyone who is humble or not generous is either old or funny.
Everyone who is either rich or generous is both patient and funny and vice versa.
If someone is not old then someone is generous or not tall.
Everyone who is ... | Alice is not calm. | contradiction | ((?[X]:((~curious(X)&kind(X))))<=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((humble(X)|~generous(X))=>(old(X)<~>funny(X))))&
(![X]:((rich(X)<~>generous(X))<=>(patient(X)&funny(X))))&
((?[X]:(~old(X)))=>(?[X]:((generous(X)|~tall(X)))))&
(![X]:((~quiet(X)<~>generous(X))<=>(kind(X)|~funny(X))))&
(((tall(lucy)<~>~kind(lucy)))<... | ~calm(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 494216910777979375679076
% SZS output start Proof for 494216910777979375679076
15. ! [X0] : ((funny(X0) | ~funny(X0)) => (strong(X0) & calm(X0))) [input p14]
24. ~calm(alice) [input hypothesis]
37. ! [X0] : ((strong(X0) & calm(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 15]
140.... | 0 |
Everyone who is either not kind or not brave is both not rich and not old and vice versa.
If someone is kind then someone is not rich or tall and vice versa.
If someone is either not calm or not happy then john is not brave or not quiet and vice versa.
If john is either not funny or kind then susan is both happy and no... | Susan is quiet. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(~rich(X)&~old(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((~brave(john)|~quiet(john))))&
(((~funny(john)<~>kind(john)))<=>((happy(susan)&~humble(susan))))&
(![X]:((~wise(X)|~rich(X))<=>(humble(X)<~>tall(X))))&
(![X]:((curious(X)&~happy(X)... | quiet(susan) | [] | null | 0 |
Everyone who is not curious or quiet is either creative or not rich.
If susan is not generous then someone is either funny or not humble and vice versa.
Everyone who is not old or not kind is both calm and not tall.
Everyone who is either not tall or not creative is wise or not curious.
If mary is either wise or not fu... | John is not wise. | neutral | (![X]:((~curious(X)|quiet(X))=>(creative(X)<~>~rich(X))))&
((~generous(susan))<=>(?[X]:((funny(X)<~>~humble(X)))))&
(![X]:((~old(X)|~kind(X))=>(calm(X)&~tall(X))))&
(![X]:((~tall(X)<~>~creative(X))=>(wise(X)|~curious(X))))&
(((wise(mary)<~>~funny(mary)))<=>((kind(alice)&~rich(alice))))&
((calm(paul))<=>(?[X]:((~curious... | ~wise(john) | [] | null | 0 |
If lucy is either not patient or not kind then alice is both tall and strong and vice versa.
Everyone who is either wise or not wise is curious or strong and vice versa.
Everyone who is not generous is either rich or not tall and vice versa.
Everyone who is both not happy and not tall is both creative and brave and vic... | Lucy is old. | entailment | (((~patient(lucy)<~>~kind(lucy)))<=>((tall(alice)&strong(alice))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(X)&~tall(X))<=>(creative(X)&brave(X))))&
(![X]:((brave(X)&wise(X))<=>(quiet(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X))<=>~calm(X)))&... | old(lucy) | [
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6273327740738936259434171
% SZS output start Proof for 6273327740738936259434171
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~calm(X0)) [input p5]
8. (~brave(alice) & ~patient(alice)) <=> ? [X0] : (happy(X0) | ~ta... | 0 |
If alice is quiet or old then someone is not curious or not patient.
Everyone who is either not patient or not wise is both not kind and brave.
Everyone who is both not strong and tall is either not creative or tall and vice versa.
Everyone who is both happy and not wise is tall or calm.
Everyone who is either kind or ... | Alice is curious. | neutral | (((quiet(alice)|old(alice)))=>(?[X]:((~curious(X)|~patient(X)))))&
(![X]:((~patient(X)<~>~wise(X))=>(~kind(X)&brave(X))))&
(![X]:((~strong(X)&tall(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((happy(X)&~wise(X))=>(tall(X)|calm(X))))&
(![X]:((kind(X)<~>~rich(X))<=>(tall(X)&wise(X))))&
((?[X]:((~tall(X)|~curious(X))))<=>((hu... | curious(alice) | [] | null | 0 |
Everyone who is tall or not calm is both tall and wise. If someone is not kind or not creative then someone is humble or not kind and vice versa. Everyone who is wise or not patient is either strong or calm and vice versa. If john is either not kind or not brave then someone is either not brave or brave and vice versa.... | Paul is not rich. | contradiction | (![X]:((tall(X)|~calm(X))=>(tall(X)&wise(X))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((wise(X)|~patient(X))<=>(strong(X)<~>calm(X))))&
(((~kind(john)<~>~brave(john)))<=>(?[X]:((~brave(X)<~>brave(X)))))&
(((calm(john)|~funny(john)))<=>(?[X]:((~kind(X)|~creative(X)))))&
((humble(mary)... | ~rich(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2933670617650595021965889
% SZS output start Proof for 2933670617650595021965889
20. quiet(paul) & rich(paul) [input p19]
24. ~rich(paul) [input hypothesis]
138. rich(paul) [cnf transformation 20]
145. ~rich(paul) [cnf transformation 24]
364. $false [subsumption resolution 145,138]
% SZS ... | 0 |
Everyone who is not tall or not generous is generous or not humble and vice versa. Everyone who is either happy or kind is not tall or not strong and vice versa. If fred is either not brave or not kind then paul is both creative and patient and vice versa. Everyone who is either not generous or not humble is either fun... | Susan is not humble. | entailment | (![X]:((~tall(X)|~generous(X))<=>(generous(X)|~humble(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~tall(X)|~strong(X))))&
(((~brave(fred)<~>~kind(fred)))<=>((creative(paul)&patient(paul))))&
(![X]:((~generous(X)<~>~humble(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(wise(X)=>(creative(X)<~>~humble(X))))&
(((happy(paul)|~creativ... | ~humble(susan) | [
"p0",
"p5",
"p7",
"p8",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8269348945708614705221599
% SZS output start Proof for 8269348945708614705221599
1. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~humble(X0) | generous(X0))) [input p0]
6. (~creative(paul) | happy(paul)) <=> ~patient(susan) [input p5]
8. ! [X0] : ((happy(X0) <~> patient(X0)) <=> (quiet(X0) ... | 0 |
Everyone who is both not funny and happy is both quiet and not strong.
If mary is either not rich or patient then susan is both not wise and kind and vice versa.
If someone is rich or not happy then someone is not wise and vice versa.
Everyone who is both rich and calm is either curious or strong.
If mary is curious or... | Lucy is humble. | entailment | (![X]:((~funny(X)&happy(X))=>(quiet(X)&~strong(X))))&
(((~rich(mary)<~>patient(mary)))<=>((~wise(susan)&kind(susan))))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X... | humble(lucy) | [
"p8",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6075930421872677988495098
% SZS output start Proof for 6075930421872677988495098
9. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p8]
13. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p12]
16. ! [X0] : (~generous(X0) <=> (curious(X0) & humble(X0))) [input p15... | 0 |
Everyone who is either not happy or generous is either not rich or humble and vice versa. Everyone who is either humble or not kind is either humble or not old. Everyone who is both not old and kind is not generous. If lucy is humble or not creative then paul is patient. If someone is strong or not curious then alice i... | John is humble. | entailment | (![X]:((~happy(X)<~>generous(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((humble(X)<~>~kind(X))=>(humble(X)<~>~old(X))))&
(![X]:((~old(X)&kind(X))=>~generous(X)))&
(((humble(lucy)|~creative(lucy)))=>(patient(paul)))&
((?[X]:((strong(X)|~curious(X))))<=>((~rich(alice)|~creative(alice))))&
(![X]:(~rich(X)=>~patient(X)))&
((~s... | humble(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5736677027257026785676442
% SZS output start Proof for 5736677027257026785676442
10. ! [X0] : ((~old(X0) & ~humble(X0)) <=> (~old(X0) <~> ~humble(X0))) [input p9]
23. ~humble(john) [input hypothesis]
49. ! [X0] : (((~old(X0) & ~humble(X0)) | ((~old(X0) | humble(X0)) & (~humble(X0) | old(X... | 0 |
Everyone who is not creative is not strong or curious.
If someone is either not curious or strong then fred is not quiet.
If someone is either wise or curious then john is either rich or not happy and vice versa.
Everyone who is not humble or kind is not kind.
Everyone who is either not funny or strong is either brave ... | Paul is humble. | entailment | (![X]:(~creative(X)=>(~strong(X)|curious(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>(~quiet(fred)))&
((?[X]:((wise(X)<~>curious(X))))<=>((rich(john)<~>~happy(john))))&
(![X]:((~humble(X)|kind(X))=>~kind(X)))&
(![X]:((~funny(X)<~>strong(X))=>(brave(X)<~>~funny(X))))&
(((wise(mary)<~>~kind(mary)))<=>((strong(fred)&curio... | humble(paul) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3063845147457338330777269
% SZS output start Proof for 3063845147457338330777269
4. ! [X0] : ((kind(X0) | ~humble(X0)) => ~kind(X0)) [input p3]
12. ? [X0] : (humble(X0) <~> ~kind(X0)) <=> (humble(paul) & curious(paul)) [input p11]
25. ~humble(paul) [input hypothesis]
32. ! [X0] : (~kind(X... | 0 |
Everyone who is either not humble or humble is not patient and vice versa.
If john is calm then mary is not strong or not funny.
Everyone who is either calm or not kind is either wise or creative and vice versa.
If john is both rich and not wise then someone is both brave and not curious and vice versa.
If someone is e... | Susan is not humble. | entailment | (![X]:((~humble(X)<~>humble(X))<=>~patient(X)))&
((calm(john))=>((~strong(mary)|~funny(mary))))&
(![X]:((calm(X)<~>~kind(X))<=>(wise(X)<~>creative(X))))&
(((rich(john)&~wise(john)))<=>(?[X]:((brave(X)&~curious(X)))))&
((?[X]:((tall(X)<~>patient(X))))=>((~calm(alice)<~>~quiet(alice))))&
((?[X]:((creative(X)<~>~patient(X... | ~humble(susan) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8717081271628671672968107
% SZS output start Proof for 8717081271628671672968107
1. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> ~patient(X0)) [input p0]
7. ? [X0] : (~wise(X0) | humble(X0)) => (patient(lucy) & old(lucy)) [input p6]
24. humble(susan) [input hypothesis]
28. (patient(lucy) & ... | 0 |
Everyone who is either not strong or not calm is brave or not kind and vice versa.
Everyone who is either creative or not old is both generous and not tall and vice versa.
Everyone who is not funny is either quiet or not brave and vice versa.
If someone is not funny or tall then someone is both not brave and not kind a... | Paul is strong. | neutral | (![X]:((~strong(X)<~>~calm(X))<=>(brave(X)|~kind(X))))&
(![X]:((creative(X)<~>~old(X))<=>(generous(X)&~tall(X))))&
(![X]:(~funny(X)<=>(quiet(X)<~>~brave(X))))&
((?[X]:((~funny(X)|tall(X))))<=>(?[X]:((~brave(X)&~kind(X)))))&
(![X]:(~generous(X)<=>(patient(X)<~>curious(X))))&
((?[X]:((creative(X)&curious(X))))<=>((~funny... | strong(paul) | [] | null | 0 |
Everyone who is not wise is both not kind and not rich.
If susan is kind or creative then fred is wise or not quiet.
If lucy is either not strong or not wise then fred is generous or quiet and vice versa.
Everyone who is happy or strong is either not quiet or patient and vice versa.
Everyone who is both not creative an... | Alice is not generous. | entailment | (![X]:(~wise(X)=>(~kind(X)&~rich(X))))&
(((kind(susan)|creative(susan)))=>((wise(fred)|~quiet(fred))))&
(((~strong(lucy)<~>~wise(lucy)))<=>((generous(fred)|quiet(fred))))&
(![X]:((happy(X)|strong(X))<=>(~quiet(X)<~>patient(X))))&
(![X]:((~creative(X)&~humble(X))=>~creative(X)))&
((~happy(susan))=>(?[X]:((~curious(X)|~b... | ~generous(alice) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7313814283283221411701085
% SZS output start Proof for 7313814283283221411701085
7. ? [X0] : (funny(X0) | humble(X0)) => ~generous(alice) [input p6]
17. funny(lucy) [input p16]
25. generous(alice) [input hypothesis]
36. ~generous(alice) | ! [X0] : (~funny(X0) & ~humble(X0)) [ennf transfor... | 0 |
Everyone who is not old or patient is both creative and not happy.
If someone is tall or curious then someone is not rich and vice versa.
Everyone who is either kind or not generous is either not kind or not wise.
Everyone who is not brave is either curious or not quiet.
Everyone who is not kind or strong is brave and ... | Alice is funny. | entailment | (![X]:((~old(X)|patient(X))=>(creative(X)&~happy(X))))&
((?[X]:((tall(X)|curious(X))))<=>(?[X]:(~rich(X))))&
(![X]:((kind(X)<~>~generous(X))=>(~kind(X)<~>~wise(X))))&
(![X]:(~brave(X)=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)|strong(X))<=>brave(X)))&
(![X]:((patient(X)&~calm(X))=>~funny(X)))&
((?[X]:((wise(X)<~>cre... | funny(alice) | [
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1955067810704983423169306
% SZS output start Proof for 1955067810704983423169306
3. ! [X0] : ((kind(X0) <~> ~generous(X0)) => (~kind(X0) <~> ~wise(X0))) [input p2]
15. ! [X0] : (patient(X0) => (wise(X0) & kind(X0))) [input p14]
16. ! [X0] : ((generous(X0) & patient(X0)) <=> (~funny(X0) | ... | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then someone is not creative or tall and vice versa.
If someone is not generous then susan is both kind and humble.
If lucy is strong or not patient then susan is not rich and vice versa.
If mary is both brave and not calm t... | Susan is not tall. | contradiction | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>(?[X]:((~creative(X)|tall(X)))))&
((?[X]:(~generous(X)))=>((kind(susan)&humble(susan))))&
(((strong(lucy)|~patient(lucy)))<=>(~rich(susan)))&
(((brave(mary)&~calm(mary)))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:((~creative(X)|strong(X))=>(~g... | ~tall(susan) | [
"p0",
"p2",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4071526388923896557837732
% SZS output start Proof for 4071526388923896557837732
1. ! [X0] : ((kind(X0) | ~wise(X0)) => (wise(X0) & tall(X0))) [input p0]
3. ? [X0] : ~generous(X0) => (humble(susan) & kind(susan)) [input p2]
6. ! [X0] : ((strong(X0) | ~creative(X0)) => (rich(X0) & ~generou... | 0 |
If john is both creative and not creative then alice is humble or not quiet and vice versa. If someone is not wise then fred is rich or not quiet. If john is both wise and not happy then paul is not brave or tall and vice versa. If someone is both not brave and strong then fred is both kind and not rich and vice versa.... | Paul is not strong. | contradiction | (((creative(john)&~creative(john)))<=>((humble(alice)|~quiet(alice))))&
((?[X]:(~wise(X)))=>((rich(fred)|~quiet(fred))))&
(((wise(john)&~happy(john)))<=>((~brave(paul)|tall(paul))))&
((?[X]:((~brave(X)&strong(X))))<=>((kind(fred)&~rich(fred))))&
(((~old(alice)&~rich(alice)))=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&~str... | ~strong(paul) | [
"p2",
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 919059989359767948995928
% SZS output start Proof for 919059989359767948995928
3. (~happy(john) & wise(john)) <=> (tall(paul) | ~brave(paul)) [input p2]
7. ! [X0] : ((wise(X0) | generous(X0)) => (~quiet(X0) & strong(X0))) [input p6]
12. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> ~old(X0)) [... | 0 |
Everyone who is both generous and quiet is either not humble or old.
If mary is kind then mary is both creative and not calm and vice versa.
Everyone who is both tall and creative is both not creative and funny and vice versa.
Everyone who is not funny is not rich.
Everyone who is happy or brave is happy or quiet and v... | Mary is tall. | contradiction | (![X]:((generous(X)&quiet(X))=>(~humble(X)<~>old(X))))&
((kind(mary))<=>((creative(mary)&~calm(mary))))&
(![X]:((tall(X)&creative(X))<=>(~creative(X)&funny(X))))&
(![X]:(~funny(X)=>~rich(X)))&
(![X]:((happy(X)|brave(X))<=>(happy(X)|quiet(X))))&
((?[X]:((old(X)&~humble(X))))<=>((~kind(john)|quiet(john))))&
((?[X]:((crea... | tall(mary) | [
"p2",
"p3",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8780881805370023355587473
% SZS output start Proof for 8780881805370023355587473
3. ! [X0] : ((creative(X0) & tall(X0)) <=> (funny(X0) & ~creative(X0))) [input p2]
4. ! [X0] : (~funny(X0) => ~rich(X0)) [input p3]
12. ! [X0] : ((~quiet(X0) | rich(X0)) <=> ~patient(X0)) [input p11]
16. ! [X... | 0 |
If fred is not rich then alice is creative or happy. If susan is both patient and not funny then john is either funny or not tall and vice versa. Everyone who is not rich is either kind or not strong and vice versa. If someone is tall then someone is either humble or rich. Everyone who is either not wise or old is not ... | Susan is patient. | neutral | ((~rich(fred))=>((creative(alice)|happy(alice))))&
(((patient(susan)&~funny(susan)))<=>((funny(john)<~>~tall(john))))&
(![X]:(~rich(X)<=>(kind(X)<~>~strong(X))))&
((?[X]:(tall(X)))=>(?[X]:((humble(X)<~>rich(X)))))&
(![X]:((~wise(X)<~>old(X))<=>(~creative(X)|creative(X))))&
(![X]:((patient(X)&strong(X))<=>patient(X)))&
... | patient(susan) | [] | null | 0 |
Everyone who is not wise is either not generous or not happy and vice versa.
Everyone who is both not creative and happy is either generous or not creative.
If someone is not old or quiet then john is either not calm or not happy.
Everyone who is both not humble and not creative is either not rich or old.
If susan is k... | Fred is not generous. | entailment | (![X]:(~wise(X)<=>(~generous(X)<~>~happy(X))))&
(![X]:((~creative(X)&happy(X))=>(generous(X)<~>~creative(X))))&
((?[X]:((~old(X)|quiet(X))))=>((~calm(john)<~>~happy(john))))&
(![X]:((~humble(X)&~creative(X))=>(~rich(X)<~>old(X))))&
(((kind(susan)|~generous(susan)))=>(?[X]:((rich(X)&~humble(X)))))&
(![X]:((wise(X)<~>str... | ~generous(fred) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7772074815955459872856530
% SZS output start Proof for 7772074815955459872856530
1. ! [X0] : (~wise(X0) <=> (~generous(X0) <~> ~happy(X0))) [input p0]
6. ! [X0] : ((wise(X0) <~> strong(X0)) <=> (~happy(X0) <~> strong(X0))) [input p5]
24. generous(fred) [input hypothesis]
37. ! [X0] : ((~w... | 0 |
Everyone who is not patient or not strong is humble or not kind and vice versa.
Everyone who is brave is not humble or curious.
Everyone who is both not funny and funny is generous or not kind and vice versa.
If paul is either not curious or not strong then someone is not brave and vice versa.
If paul is either quiet o... | Lucy is not curious. | contradiction | (![X]:((~patient(X)|~strong(X))<=>(humble(X)|~kind(X))))&
(![X]:(brave(X)=>(~humble(X)|curious(X))))&
(![X]:((~funny(X)&funny(X))<=>(generous(X)|~kind(X))))&
(((~curious(paul)<~>~strong(paul)))<=>(?[X]:(~brave(X))))&
(((quiet(paul)<~>brave(paul)))<=>((generous(john)<~>curious(john))))&
(![X]:((rich(X)&~wise(X))<=>(kind... | ~curious(lucy) | [
"p0",
"p1",
"p2",
"p5",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4583241735706985521198658
% SZS output start Proof for 4583241735706985521198658
1. ! [X0] : ((~strong(X0) | ~patient(X0)) <=> (~kind(X0) | humble(X0))) [input p0]
2. ! [X0] : (brave(X0) => (curious(X0) | ~humble(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~kind(X0) | gene... | 0 |
Everyone who is generous is not humble and vice versa. Everyone who is not brave is old. If fred is either creative or not wise then someone is not kind and vice versa. Everyone who is both brave and wise is both rich and tall. If someone is both not kind and tall then fred is old or curious. If lucy is not tall then s... | Alice is not calm. | neutral | (![X]:(generous(X)<=>~humble(X)))&
(![X]:(~brave(X)=>old(X)))&
(((creative(fred)<~>~wise(fred)))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)&wise(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)&tall(X))))=>((old(fred)|curious(fred))))&
((~tall(lucy))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>~quiet(X)... | ~calm(alice) | [] | null | 0 |
If lucy is curious then susan is brave or not strong.
If someone is either not calm or not tall then someone is creative and vice versa.
Everyone who is either not strong or strong is both not tall and humble.
Everyone who is not happy is both not wise and humble.
If alice is either not happy or funny then john is rich... | Paul is humble. | entailment | ((curious(lucy))=>((brave(susan)|~strong(susan))))&
((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:(creative(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~tall(X)&humble(X))))&
(![X]:(~happy(X)=>(~wise(X)&humble(X))))&
(((~happy(alice)<~>funny(alice)))=>(rich(john)))&
((?[X]:((~rich(X)<~>generous(X))))<=>(patient(alice)))&
(![X]:... | humble(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 478946050809160639912107
% SZS output start Proof for 478946050809160639912107
3. ! [X0] : ((~strong(X0) <~> strong(X0)) => (humble(X0) & ~tall(X0))) [input p2]
25. ~humble(paul) [input hypothesis]
30. ! [X0] : ((humble(X0) & ~tall(X0)) | (~strong(X0) <=> strong(X0))) [ennf transformation... | 0 |
If someone is either not happy or old then paul is funny.
If lucy is either not humble or funny then john is both not curious and not patient.
Everyone who is both strong and not wise is not quiet and vice versa.
Everyone who is not wise is both wise and not generous.
If mary is both wise and not kind then someone is e... | Paul is wise. | entailment | ((?[X]:((~happy(X)<~>old(X))))=>(funny(paul)))&
(((~humble(lucy)<~>funny(lucy)))=>((~curious(john)&~patient(john))))&
(![X]:((strong(X)&~wise(X))<=>~quiet(X)))&
(![X]:(~wise(X)=>(wise(X)&~generous(X))))&
(((wise(mary)&~kind(mary)))=>(?[X]:((humble(X)<~>brave(X)))))&
(![X]:((happy(X)&strong(X))=>~humble(X)))&
(![X]:((~h... | wise(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8923902460173208589888992
% SZS output start Proof for 8923902460173208589888992
4. ! [X0] : (~wise(X0) => (~generous(X0) & wise(X0))) [input p3]
24. ~wise(paul) [input hypothesis]
31. ! [X0] : ((~generous(X0) & wise(X0)) | wise(X0)) [ennf transformation 4]
80. wise(X0) | wise(X0) [cnf tr... | 0 |
Everyone who is either not kind or not brave is both not rich and not old and vice versa.
If someone is kind then someone is not rich or tall and vice versa.
If someone is either not calm or not happy then john is not brave or not quiet and vice versa.
If john is either not funny or kind then susan is both happy and no... | Susan is not quiet. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(~rich(X)&~old(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((~brave(john)|~quiet(john))))&
(((~funny(john)<~>kind(john)))<=>((happy(susan)&~humble(susan))))&
(![X]:((~wise(X)|~rich(X))<=>(humble(X)<~>tall(X))))&
(![X]:((curious(X)&~happy(X)... | ~quiet(susan) | [] | null | 0 |
Everyone who is not calm is patient.
Everyone who is brave is not tall or not humble and vice versa.
If someone is not happy or happy then lucy is quiet and vice versa.
Everyone who is both not patient and not strong is both not quiet and strong and vice versa.
Everyone who is both not funny and not calm is not kind or... | Paul is not tall. | contradiction | (![X]:(~calm(X)=>patient(X)))&
(![X]:(brave(X)<=>(~tall(X)|~humble(X))))&
((?[X]:((~happy(X)|happy(X))))<=>(quiet(lucy)))&
(![X]:((~patient(X)&~strong(X))<=>(~quiet(X)&strong(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~kind(X)|~generous(X))))&
((?[X]:((~brave(X)<~>~humble(X))))=>((~creative(paul)&generous(paul))))&
(![X]:((... | ~tall(paul) | [
"p0",
"p1",
"p5",
"p7",
"p13",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 17952574670247926494259
% SZS output start Proof for 17952574670247926494259
1. ! [X0] : (~calm(X0) => patient(X0)) [input p0]
2. ! [X0] : (brave(X0) <=> (~humble(X0) | ~tall(X0))) [input p1]
6. ? [X0] : (~brave(X0) <~> ~humble(X0)) => (generous(paul) & ~creative(paul)) [input p5]
8. ! [X... | 0 |
If alice is not kind then susan is either not generous or not strong and vice versa.
Everyone who is either not kind or kind is humble and vice versa.
Everyone who is not rich or humble is not tall or not generous and vice versa.
Everyone who is funny is either not patient or not calm.
Everyone who is either happy or p... | John is not funny. | contradiction | ((~kind(alice))<=>((~generous(susan)<~>~strong(susan))))&
(![X]:((~kind(X)<~>kind(X))<=>humble(X)))&
(![X]:((~rich(X)|humble(X))<=>(~tall(X)|~generous(X))))&
(![X]:(funny(X)=>(~patient(X)<~>~calm(X))))&
(![X]:((happy(X)<~>patient(X))=>(~calm(X)&~creative(X))))&
(![X]:((rich(X)|curious(X))=>(~creative(X)&patient(X))))&
... | ~funny(john) | [
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 764701303894098391137498
% SZS output start Proof for 764701303894098391137498
10. ! [X0] : (rich(X0) => (~rich(X0) & wise(X0))) [input p9]
13. ! [X0] : ((~curious(X0) | ~funny(X0)) <=> (~happy(X0) & ~strong(X0))) [input p12]
16. ! [X0] : ((~happy(X0) & ~funny(X0)) => rich(X0)) [input p15... | 0 |
If paul is not curious or not funny then mary is funny and vice versa.
Everyone who is either curious or generous is calm.
Everyone who is not wise is both not happy and not patient and vice versa.
If fred is not old or creative then someone is both not patient and not funny and vice versa.
Everyone who is both tall an... | Paul is not rich. | entailment | (((~curious(paul)|~funny(paul)))<=>(funny(mary)))&
(![X]:((curious(X)<~>generous(X))=>calm(X)))&
(![X]:(~wise(X)<=>(~happy(X)&~patient(X))))&
(((~old(fred)|creative(fred)))<=>(?[X]:((~patient(X)&~funny(X)))))&
(![X]:((tall(X)&kind(X))=>~patient(X)))&
((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
(... | ~rich(paul) | [
"p2",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 510646767414501075696521
% SZS output start Proof for 510646767414501075696521
3. ! [X0] : (~wise(X0) <=> (~patient(X0) & ~happy(X0))) [input p2]
8. (~rich(paul) & ~happy(paul)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p7]
18. ~funny(mary) & ~wise(mary) [input p17]
24. rich(paul) [... | 0 |
Everyone who is strong or rich is both curious and kind and vice versa. If mary is not quiet then alice is either not rich or not patient. Everyone who is both kind and not strong is creative or patient. Everyone who is either generous or not patient is either rich or old. Everyone who is both not humble and not strong... | Paul is brave. | entailment | (![X]:((strong(X)|rich(X))<=>(curious(X)&kind(X))))&
((~quiet(mary))=>((~rich(alice)<~>~patient(alice))))&
(![X]:((kind(X)&~strong(X))=>(creative(X)|patient(X))))&
(![X]:((generous(X)<~>~patient(X))=>(rich(X)<~>old(X))))&
(![X]:((~humble(X)&~strong(X))<=>(curious(X)|~rich(X))))&
(![X]:((brave(X)&~funny(X))<=>tall(X)))&... | brave(paul) | [
"p0",
"p2",
"p4",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3152879182541881227787660
% SZS output start Proof for 3152879182541881227787660
1. ! [X0] : ((rich(X0) | strong(X0)) <=> (kind(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & kind(X0)) => (patient(X0) | creative(X0))) [input p2]
5. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~r... | 0 |
If someone is either quiet or calm then mary is either not curious or not rich and vice versa.
If someone is both brave and strong then lucy is both not quiet and quiet.
If lucy is either tall or not curious then someone is either not calm or rich and vice versa.
If john is not patient then someone is curious or not ri... | Mary is funny. | contradiction | ((?[X]:((quiet(X)<~>calm(X))))<=>((~curious(mary)<~>~rich(mary))))&
((?[X]:((brave(X)&strong(X))))=>((~quiet(lucy)&quiet(lucy))))&
(((tall(lucy)<~>~curious(lucy)))<=>(?[X]:((~calm(X)<~>rich(X)))))&
((~patient(john))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((patient(X)|~brave(X))=>(~old(X)|strong(X))))&
(![X]:((~calm(X)... | funny(mary) | [
"p1",
"p4",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 127949118707651787308376
% SZS output start Proof for 127949118707651787308376
2. ? [X0] : (strong(X0) & brave(X0)) => (quiet(lucy) & ~quiet(lucy)) [input p1]
5. ! [X0] : ((~brave(X0) | patient(X0)) => (strong(X0) | ~old(X0))) [input p4]
6. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (funny(X0... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not happy and not patient and vice versa. Everyone who is not tall or not calm is either not strong or not humble and vice versa. If paul is both not creative and not generous then s... | Paul is happy. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~strong(X)<~>~humble(X))))&
(((~creative(paul)&~generous(paul)))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:((rich(X)|patient(X))=>(humble(X)&~humble(X))))&
(((~happy(john)<~... | happy(paul) | [
"p1",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3093202587282992526114346
% SZS output start Proof for 3093202587282992526114346
2. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~patient(X0) & ~happy(X0))) [input p1]
5. ! [X0] : ((patient(X0) | rich(X0)) => (~humble(X0) & humble(X0))) [input p4]
13. ! [X0] : ((funny(X0) | creative(X0)) <=>... | 0 |
Everyone who is either kind or not brave is both not kind and kind and vice versa.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not pati... | Susan is brave. | contradiction | (![X]:((kind(X)<~>~brave(X))<=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)... | brave(susan) | [
"p2",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5335516446081250706578732
% SZS output start Proof for 5335516446081250706578732
3. ! [X0] : ((quiet(X0) | ~calm(X0)) => (~generous(X0) & ~wise(X0))) [input p2]
10. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~brave(X0) & ~happy(X0))) [input p9]
11. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (... | 0 |
Everyone who is both brave and generous is either not wise or wise and vice versa.
If john is old or calm then someone is rich or not curious and vice versa.
Everyone who is both humble and not funny is both not happy and not generous and vice versa.
If someone is both strong and not creative then mary is wise or not h... | Lucy is not calm. | entailment | (![X]:((brave(X)&generous(X))<=>(~wise(X)<~>wise(X))))&
(((old(john)|calm(john)))<=>(?[X]:((rich(X)|~curious(X)))))&
(![X]:((humble(X)&~funny(X))<=>(~happy(X)&~generous(X))))&
((?[X]:((strong(X)&~creative(X))))=>((wise(mary)|~happy(mary))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:(~humbl... | ~calm(lucy) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4155814395128644457227392
% SZS output start Proof for 4155814395128644457227392
6. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> happy(X0))) [input p5]
8. ? [X0] : (kind(X0) | calm(X0)) <=> ? [X0] : happy(X0) [input p7]
19. calm(lucy) [input hypothesis]
20. ? [X0] : (kind(X0) | calm(X0)) <=... | 0 |
Everyone who is brave or funny is both not happy and not tall.
If lucy is either not generous or old then mary is not curious and vice versa.
If someone is both happy and not humble then fred is not tall or generous.
Everyone who is kind or humble is both tall and generous.
Everyone who is either funny or kind is not r... | John is not kind. | entailment | (![X]:((brave(X)|funny(X))=>(~happy(X)&~tall(X))))&
(((~generous(lucy)<~>old(lucy)))<=>(~curious(mary)))&
((?[X]:((happy(X)&~humble(X))))=>((~tall(fred)|generous(fred))))&
(![X]:((kind(X)|humble(X))=>(tall(X)&generous(X))))&
(![X]:((funny(X)<~>kind(X))<=>(~rich(X)|~quiet(X))))&
(((~curious(alice)|~rich(alice)))<=>(?[X]... | ~kind(john) | [
"p0",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1726963016681141183903067
% SZS output start Proof for 1726963016681141183903067
1. ! [X0] : ((funny(X0) | brave(X0)) => (~tall(X0) & ~happy(X0))) [input p0]
8. ! [X0] : ((kind(X0) | happy(X0)) <=> (funny(X0) & ~wise(X0))) [input p7]
21. patient(john) & tall(john) [input p20]
25. kind(joh... | 0 |
If fred is both not funny and not patient then someone is either tall or humble and vice versa.
Everyone who is not strong or not happy is either not generous or kind.
Everyone who is not tall or kind is either not rich or quiet.
Everyone who is both not curious and creative is either not happy or humble and vice versa... | Susan is tall. | entailment | (((~funny(fred)&~patient(fred)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:((~strong(X)|~happy(X))=>(~generous(X)<~>kind(X))))&
(![X]:((~tall(X)|kind(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~curious(X)&creative(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X)... | tall(susan) | [
"p0",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6896725315926863475790899
% SZS output start Proof for 6896725315926863475790899
1. (~patient(fred) & ~funny(fred)) <=> ? [X0] : (tall(X0) <~> humble(X0)) [input p0]
5. ! [X0] : ((tall(X0) <~> patient(X0)) => (wise(X0) & humble(X0))) [input p4]
9. ! [X0] : ((humble(X0) | ~tall(X0)) <=> pa... | 0 |
If someone is kind or tall then susan is both curious and not curious and vice versa. Everyone who is either not calm or curious is either quiet or not humble and vice versa. If alice is both not old and not creative then fred is either not brave or not old. If mary is not old or strong then someone is either calm or w... | Mary is not brave. | entailment | ((?[X]:((kind(X)|tall(X))))<=>((curious(susan)&~curious(susan))))&
(![X]:((~calm(X)<~>curious(X))<=>(quiet(X)<~>~humble(X))))&
(((~old(alice)&~creative(alice)))=>((~brave(fred)<~>~old(fred))))&
(((~old(mary)|strong(mary)))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:((~quiet(X)|funny(X))=>(wise(X)&creative(X))))&
(((~tall(su... | ~brave(mary) | [
"p0",
"p5",
"p6",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6804653514059635633822793
% SZS output start Proof for 6804653514059635633822793
1. ? [X0] : (tall(X0) | kind(X0)) <=> (~curious(susan) & curious(susan)) [input p0]
6. (kind(susan) & ~tall(susan)) <=> creative(mary) [input p5]
7. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~strong(X0) <~> ... | 0 |
If susan is generous or old then paul is not old and vice versa. If someone is both not brave and curious then someone is not funny and vice versa. Everyone who is either not humble or not strong is both calm and patient and vice versa. Everyone who is both not creative and strong is both not calm and not humble. Every... | Lucy is brave. | entailment | (((generous(susan)|old(susan)))<=>(~old(paul)))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(calm(X)&patient(X))))&
(![X]:((~creative(X)&strong(X))=>(~calm(X)&~humble(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(~patient(X)&~funny(X))))&
(![X]:(patient(X)=>(~humble(X)&~calm(X)... | brave(lucy) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 343196449905825280933113
% SZS output start Proof for 343196449905825280933113
2. ? [X0] : (curious(X0) & ~brave(X0)) <=> ? [X0] : ~funny(X0) [input p1]
3. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (patient(X0) & calm(X0))) [input p2]
4. ! [X0] : ((strong(X0) & ~creative(X0)) => (~humbl... | 0 |
Everyone who is old is either funny or not generous.
If someone is either calm or strong then mary is not kind or wise and vice versa.
If paul is wise then paul is either not creative or brave.
Everyone who is either not old or kind is not generous and vice versa.
If alice is rich then someone is old.
If someone is kin... | Alice is quiet. | neutral | (![X]:(old(X)=>(funny(X)<~>~generous(X))))&
((?[X]:((calm(X)<~>strong(X))))<=>((~kind(mary)|wise(mary))))&
((wise(paul))=>((~creative(paul)<~>brave(paul))))&
(![X]:((~old(X)<~>kind(X))<=>~generous(X)))&
((rich(alice))=>(?[X]:(old(X))))&
((?[X]:((kind(X)|~patient(X))))<=>((~happy(mary)|~curious(mary))))&
((?[X]:((calm(X... | quiet(alice) | [] | null | 0 |
If someone is both patient and creative then someone is both funny and not rich. If someone is not humble then alice is not generous. If alice is tall then fred is either not wise or kind and vice versa. If mary is both not curious and not creative then someone is not creative and vice versa. Everyone who is both not s... | Mary is quiet. | neutral | ((?[X]:((patient(X)&creative(X))))=>(?[X]:((funny(X)&~rich(X)))))&
((?[X]:(~humble(X)))=>(~generous(alice)))&
((tall(alice))<=>((~wise(fred)<~>kind(fred))))&
(((~curious(mary)&~creative(mary)))<=>(?[X]:(~creative(X))))&
(![X]:((~strong(X)&quiet(X))<=>(~tall(X)|~kind(X))))&
(![X]:((tall(X)|~old(X))=>(~patient(X)&~curiou... | quiet(mary) | [] | null | 0 |
Everyone who is both not tall and not creative is either kind or not creative.
If someone is not wise or not patient then lucy is tall.
Everyone who is both quiet and patient is both happy and not rich.
If john is not strong or happy then john is either not strong or not curious.
Everyone who is not patient is tall or ... | Paul is not brave. | contradiction | (![X]:((~tall(X)&~creative(X))=>(kind(X)<~>~creative(X))))&
((?[X]:((~wise(X)|~patient(X))))=>(tall(lucy)))&
(![X]:((quiet(X)&patient(X))=>(happy(X)&~rich(X))))&
(((~strong(john)|happy(john)))=>((~strong(john)<~>~curious(john))))&
(![X]:(~patient(X)=>(tall(X)|~old(X))))&
(![X]:((generous(X)&strong(X))=>(wise(X)|~tall(X... | ~brave(paul) | [
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4364024192152179023981288
% SZS output start Proof for 4364024192152179023981288
7. ! [X0] : (calm(X0) => (brave(X0) & funny(X0))) [input p6]
10. ! [X0] : ((curious(X0) | brave(X0)) => (calm(X0) | brave(X0))) [input p9]
14. ! [X0] : ((patient(X0) & calm(X0)) <=> (~brave(X0) & ~curious(X0)... | 0 |
Everyone who is patient or not calm is both not quiet and old and vice versa.
Everyone who is both not kind and not curious is kind or not curious and vice versa.
If mary is brave or not curious then paul is both quiet and not quiet.
Everyone who is not wise is not quiet or wise and vice versa.
Everyone who is both not... | Fred is rich. | entailment | (![X]:((patient(X)|~calm(X))<=>(~quiet(X)&old(X))))&
(![X]:((~kind(X)&~curious(X))<=>(kind(X)|~curious(X))))&
(((brave(mary)|~curious(mary)))=>((quiet(paul)&~quiet(paul))))&
(![X]:(~wise(X)<=>(~quiet(X)|wise(X))))&
(![X]:((~rich(X)&kind(X))<=>(strong(X)<~>humble(X))))&
((patient(mary))=>(rich(fred)))&
(![X]:((~brave(X)... | rich(fred) | [
"p1",
"p3",
"p8",
"p9",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8132983566450761630660750
% SZS output start Proof for 8132983566450761630660750
2. ! [X0] : ((~curious(X0) & ~kind(X0)) <=> (~curious(X0) | kind(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (wise(X0) | ~quiet(X0))) [input p3]
9. ! [X0] : ((~tall(X0) <~> ~curious(X0)) <=> ~brave(X0)) [inpu... | 0 |
Everyone who is either happy or not calm is both patient and not calm. If someone is either patient or quiet then paul is not generous or wise and vice versa. Everyone who is both strong and calm is both wise and happy and vice versa. If alice is both not quiet and generous then susan is either not humble or not brave.... | John is not wise. | contradiction | (![X]:((happy(X)<~>~calm(X))=>(patient(X)&~calm(X))))&
((?[X]:((patient(X)<~>quiet(X))))<=>((~generous(paul)|wise(paul))))&
(![X]:((strong(X)&calm(X))<=>(wise(X)&happy(X))))&
(((~quiet(alice)&generous(alice)))=>((~humble(susan)<~>~brave(susan))))&
((quiet(alice))=>((~kind(lucy)|~curious(lucy))))&
(((~tall(alice)&~happy... | ~wise(john) | [
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1927088154510877739808396
% SZS output start Proof for 1927088154510877739808396
11. ! [X0] : ((strong(X0) & brave(X0)) <=> ~strong(X0)) [input p10]
14. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (~strong(X0) & kind(X0))) [input p13]
15. ! [X0] : (~wise(X0) <=> (~quiet(X0) & ~generous(X0... | 0 |
Everyone who is curious or calm is both calm and quiet.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is funny is both rich and calm.
Everyone who is both humble and happy is not rich.
Everyone who is old is not strong or not happy.
Everyone who is not happy is e... | John is not funny. | entailment | (![X]:((curious(X)|calm(X))=>(calm(X)&quiet(X))))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(rich(X)<~>happy(X))))&
(![X]:((creative(X)|humble(X))<=>(~old... | ~funny(john) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2543794766874812876155144
% SZS output start Proof for 2543794766874812876155144
3. ! [X0] : (funny(X0) => (calm(X0) & rich(X0))) [input p2]
4. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p3]
6. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p5]
7. ! [X0] : ((humble... | 0 |
If someone is quiet or humble then someone is both generous and not happy and vice versa.
Everyone who is either calm or not old is quiet or calm.
Everyone who is both patient and humble is either not rich or patient.
If someone is not brave or generous then fred is both creative and wise.
Everyone who is wise is old o... | John is wise. | neutral | ((?[X]:((quiet(X)|humble(X))))<=>(?[X]:((generous(X)&~happy(X)))))&
(![X]:((calm(X)<~>~old(X))=>(quiet(X)|calm(X))))&
(![X]:((patient(X)&humble(X))=>(~rich(X)<~>patient(X))))&
((?[X]:((~brave(X)|generous(X))))=>((creative(fred)&wise(fred))))&
(![X]:(wise(X)<=>(old(X)|~creative(X))))&
((?[X]:((creative(X)<~>rich(X))))=>... | wise(john) | [] | null | 0 |
Everyone who is both not rich and happy is both not generous and not calm.
If john is either not quiet or not tall then mary is both not brave and not humble.
Everyone who is both wise and calm is not humble or calm.
If someone is both brave and not patient then someone is happy or not kind and vice versa.
If someone i... | Lucy is not strong. | contradiction | (![X]:((~rich(X)&happy(X))=>(~generous(X)&~calm(X))))&
(((~quiet(john)<~>~tall(john)))=>((~brave(mary)&~humble(mary))))&
(![X]:((wise(X)&calm(X))=>(~humble(X)|calm(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((happy(X)|~kind(X)))))&
((?[X]:(~funny(X)))=>((~calm(alice)&tall(alice))))&
(![X]:((~wise(X)|~quiet(X))=>~k... | ~strong(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5789907909926255017801957
% SZS output start Proof for 5789907909926255017801957
19. ~happy(lucy) & strong(lucy) [input p18]
25. ~strong(lucy) [input hypothesis]
133. strong(lucy) [cnf transformation 19]
143. ~strong(lucy) [cnf transformation 25]
339. $false [subsumption resolution 143,13... | 0 |
Everyone who is both kind and not happy is either not happy or rich and vice versa. Everyone who is not quiet or not brave is calm or not wise. Everyone who is not tall or tall is brave and vice versa. If john is either quiet or not tall then someone is not old or happy and vice versa. If alice is creative then mary is... | Lucy is not patient. | neutral | (![X]:((kind(X)&~happy(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))=>(calm(X)|~wise(X))))&
(![X]:((~tall(X)|tall(X))<=>brave(X)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:((~old(X)|happy(X)))))&
((creative(alice))<=>(curious(mary)))&
(![X]:((quiet(X)|generous(X))=>~curious(X)))&
(![X]:(~kind(X)=>(~brave(X... | ~patient(lucy) | [] | null | 0 |
If alice is brave or not funny then paul is brave or calm.
Everyone who is either not old or old is both tall and not curious and vice versa.
Everyone who is both calm and generous is either not old or not curious.
Everyone who is not kind or rich is both funny and creative.
If someone is happy then john is both not pa... | Alice is calm. | contradiction | (((brave(alice)|~funny(alice)))=>((brave(paul)|calm(paul))))&
(![X]:((~old(X)<~>old(X))<=>(tall(X)&~curious(X))))&
(![X]:((calm(X)&generous(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~kind(X)|rich(X))=>(funny(X)&creative(X))))&
((?[X]:(happy(X)))=>((~patient(john)&happy(john))))&
(![X]:((rich(X)<~>strong(X))<=>(calm(X)<~>... | calm(alice) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2941856415619779093643313
% SZS output start Proof for 2941856415619779093643313
2. ! [X0] : ((~old(X0) <~> old(X0)) <=> (~curious(X0) & tall(X0))) [input p1]
14. ! [X0] : (calm(X0) => ~tall(X0)) [input p13]
23. calm(alice) [input hypothesis]
33. ! [X0] : (~tall(X0) | ~calm(X0)) [ennf tra... | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Lucy is not funny. | contradiction | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | ~funny(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7881618242241250408417057
% SZS output start Proof for 7881618242241250408417057
2. ? [X0] : (quiet(X0) | old(X0)) => (patient(lucy) <~> ~creative(lucy)) [input p1]
3. ! [X0] : ((patient(X0) | old(X0)) <=> old(X0)) [input p2]
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0)))... | 0 |
Everyone who is calm or tall is both not old and not tall.
If susan is both not tall and creative then someone is brave.
Everyone who is not curious or curious is not creative or not old.
If susan is either not humble or funny then paul is not quiet or not strong and vice versa.
Everyone who is not wise is both not tal... | Paul is not funny. | entailment | (![X]:((calm(X)|tall(X))=>(~old(X)&~tall(X))))&
(((~tall(susan)&creative(susan)))=>(?[X]:(brave(X))))&
(![X]:((~curious(X)|curious(X))=>(~creative(X)|~old(X))))&
(((~humble(susan)<~>funny(susan)))<=>((~quiet(paul)|~strong(paul))))&
(![X]:(~wise(X)=>(~tall(X)&tall(X))))&
(![X]:((strong(X)&~generous(X))<=>(funny(X)|~calm... | ~funny(paul) | [
"p0",
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6889264600494398249752732
% SZS output start Proof for 6889264600494398249752732
1. ! [X0] : ((tall(X0) | calm(X0)) => (~tall(X0) & ~old(X0))) [input p0]
6. ! [X0] : ((~generous(X0) & strong(X0)) <=> (~calm(X0) | funny(X0))) [input p5]
24. generous(paul) | tall(paul) [input p23]
25. funny... | 0 |
If someone is both not generous and rich then john is either not wise or not kind and vice versa. If john is both kind and generous then someone is either curious or funny and vice versa. Everyone who is not creative or not happy is happy and vice versa. If alice is both tall and not wise then someone is happy or not s... | John is kind. | entailment | ((?[X]:((~generous(X)&rich(X))))<=>((~wise(john)<~>~kind(john))))&
(((kind(john)&generous(john)))<=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:((~creative(X)|~happy(X))<=>happy(X)))&
(((tall(alice)&~wise(alice)))=>(?[X]:((happy(X)|~strong(X)))))&
(![X]:(~strong(X)<=>quiet(X)))&
((?[X]:(~wise(X)))=>((quiet(fred)|~old(fred... | kind(john) | [
"p1",
"p2",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9165419865228810462731955
% SZS output start Proof for 9165419865228810462731955
2. (generous(john) & kind(john)) <=> ? [X0] : (curious(X0) <~> funny(X0)) [input p1]
3. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> happy(X0)) [input p2]
7. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> happy(X0))... | 0 |
If fred is either not creative or creative then someone is either not creative or kind.
Everyone who is not tall or not curious is either funny or not humble and vice versa.
Everyone who is either happy or not brave is either funny or quiet.
If mary is either not brave or funny then paul is not quiet or not calm and vi... | Susan is kind. | entailment | (((~creative(fred)<~>creative(fred)))=>(?[X]:((~creative(X)<~>kind(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(funny(X)<~>~humble(X))))&
(![X]:((happy(X)<~>~brave(X))=>(funny(X)<~>quiet(X))))&
(((~brave(mary)<~>funny(mary)))<=>((~quiet(paul)|~calm(paul))))&
(![X]:(~humble(X)=>(quiet(X)|funny(X))))&
(![X]:((~quiet(X)|humbl... | kind(susan) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 552920868579853472546507
% SZS output start Proof for 552920868579853472546507
6. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (patient(X0) & ~patient(X0))) [input p5]
11. ! [X0] : ((~kind(X0) | ~wise(X0)) => (~quiet(X0) & ~rich(X0))) [input p10]
25. ~kind(susan) [input hypothesis]
34. ! [X0] ... | 0 |
If fred is either humble or not kind then someone is not happy or not old.
Everyone who is quiet is patient and vice versa.
If alice is not calm or strong then someone is not humble and vice versa.
Everyone who is humble or patient is not kind and vice versa.
If mary is both patient and brave then john is both old and ... | Susan is not happy. | contradiction | (((humble(fred)<~>~kind(fred)))=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:(quiet(X)<=>patient(X)))&
(((~calm(alice)|strong(alice)))<=>(?[X]:(~humble(X))))&
(![X]:((humble(X)|patient(X))<=>~kind(X)))&
(((patient(mary)&brave(mary)))=>((old(john)&~tall(john))))&
(((creative(susan)|generous(susan)))<=>((brave(fred)&funny(fred)... | ~happy(susan) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 646475653465048747565844
% SZS output start Proof for 646475653465048747565844
2. ! [X0] : (quiet(X0) <=> patient(X0)) [input p1]
4. ! [X0] : ((patient(X0) | humble(X0)) <=> ~kind(X0)) [input p3]
6. (generous(susan) | creative(susan)) <=> (funny(fred) & brave(fred)) [input p5]
7. ! [X0] :... | 0 |
Everyone who is tall is not humble.
Everyone who is not generous is either brave or not wise.
If john is not rich or kind then mary is not happy and vice versa.
Everyone who is rich or not creative is either not rich or not strong.
Everyone who is either not generous or not curious is tall or not brave.
Everyone who is... | Mary is not brave. | neutral | (![X]:(tall(X)=>~humble(X)))&
(![X]:(~generous(X)=>(brave(X)<~>~wise(X))))&
(((~rich(john)|kind(john)))<=>(~happy(mary)))&
(![X]:((rich(X)|~creative(X))=>(~rich(X)<~>~strong(X))))&
(![X]:((~generous(X)<~>~curious(X))=>(tall(X)|~brave(X))))&
(![X]:(brave(X)<=>(rich(X)<~>wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>(?[X]:(... | ~brave(mary) | [] | null | 0 |
If mary is kind then someone is both quiet and not patient.
Everyone who is either kind or creative is either not quiet or not rich and vice versa.
If someone is either not strong or rich then john is quiet or tall and vice versa.
If susan is not kind or tall then lucy is both not brave and not tall and vice versa.
If ... | Paul is not wise. | entailment | ((kind(mary))=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((kind(X)<~>creative(X))<=>(~quiet(X)<~>~rich(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((quiet(john)|tall(john))))&
(((~kind(susan)|tall(susan)))<=>((~brave(lucy)&~tall(lucy))))&
((?[X]:((~kind(X)&old(X))))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((strong(X)&~... | ~wise(paul) | [
"p3",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8829272694585407676412151
% SZS output start Proof for 8829272694585407676412151
4. (tall(susan) | ~kind(susan)) <=> (~tall(lucy) & ~brave(lucy)) [input p3]
10. ! [X0] : (wise(X0) => (tall(X0) & ~creative(X0))) [input p9]
14. ? [X0] : wise(X0) <=> (~generous(lucy) & wise(lucy)) [input p13... | 0 |
Everyone who is both not kind and patient is both wise and kind.
If someone is both humble and calm then john is not rich or rich.
Everyone who is happy or not funny is both not tall and not brave and vice versa.
If mary is not patient then someone is strong or quiet and vice versa.
Everyone who is either wise or brave... | Paul is curious. | contradiction | (![X]:((~kind(X)&patient(X))=>(wise(X)&kind(X))))&
((?[X]:((humble(X)&calm(X))))=>((~rich(john)|rich(john))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)&~brave(X))))&
((~patient(mary))<=>(?[X]:((strong(X)|quiet(X)))))&
(![X]:((wise(X)<~>brave(X))<=>patient(X)))&
((?[X]:((generous(X)<~>~strong(X))))<=>((~calm(lucy)&brave(... | curious(paul) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8167515573265873979981149
% SZS output start Proof for 8167515573265873979981149
7. (~generous(mary) | ~curious(mary)) <=> ~curious(paul) [input p6]
17. old(mary) & ~curious(mary) [input p16]
25. curious(paul) [input hypothesis]
49. ((~generous(mary) | ~curious(mary)) | curious(paul)) & (... | 0 |
Everyone who is both not strong and not curious is not old or not brave.
If paul is quiet or strong then someone is not quiet or old and vice versa.
If someone is either patient or strong then someone is either not curious or strong.
If someone is both calm and quiet then someone is either calm or not strong.
Everyone ... | Fred is rich. | contradiction | (![X]:((~strong(X)&~curious(X))=>(~old(X)|~brave(X))))&
(((quiet(paul)|strong(paul)))<=>(?[X]:((~quiet(X)|old(X)))))&
((?[X]:((patient(X)<~>strong(X))))=>(?[X]:((~curious(X)<~>strong(X)))))&
((?[X]:((calm(X)&quiet(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((~tall(X)<~>~quiet(X))=>(quiet(X)|~brave(X))))&
((~old(pau... | rich(fred) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1555596897005433732815267
% SZS output start Proof for 1555596897005433732815267
7. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> tall(X0)) [input p6]
8. ! [X0] : ((old(X0) | rich(X0)) => (~strong(X0) & ~tall(X0))) [input p7]
23. rich(fred) [input hypothesis]
34. ! [X0] : ((~strong(X0) &... | 0 |
If fred is both not tall and not wise then lucy is both humble and patient and vice versa. Everyone who is either strong or not rich is both not quiet and happy and vice versa. If someone is either not patient or not tall then fred is humble or not tall and vice versa. Everyone who is both kind and curious is both not ... | Lucy is funny. | neutral | (((~tall(fred)&~wise(fred)))<=>((humble(lucy)&patient(lucy))))&
(![X]:((strong(X)<~>~rich(X))<=>(~quiet(X)&happy(X))))&
((?[X]:((~patient(X)<~>~tall(X))))<=>((humble(fred)|~tall(fred))))&
(![X]:((kind(X)&curious(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~brave(X)&~humble(X))))=>(~humble(paul)))&
((generous(lucy))=>(?[X]:((... | funny(lucy) | [] | null | 0 |
Everyone who is happy or not tall is either happy or not creative and vice versa.
If someone is both brave and not calm then someone is either not patient or not calm.
Everyone who is both not brave and not humble is not quiet.
Everyone who is wise is either not kind or not brave.
If lucy is either not generous or kind... | Lucy is not brave. | contradiction | (![X]:((happy(X)|~tall(X))<=>(happy(X)<~>~creative(X))))&
((?[X]:((brave(X)&~calm(X))))=>(?[X]:((~patient(X)<~>~calm(X)))))&
(![X]:((~brave(X)&~humble(X))=>~quiet(X)))&
(![X]:(wise(X)=>(~kind(X)<~>~brave(X))))&
(((~generous(lucy)<~>kind(lucy)))=>((~brave(john)<~>~curious(john))))&
(![X]:((old(X)|tall(X))<=>(~quiet(X)&~... | ~brave(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1978022662790595414617822
% SZS output start Proof for 1978022662790595414617822
14. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> brave(X0)) [input p13]
24. ~brave(lucy) [input hypothesis]
59. ! [X0] : (((~brave(X0) | ~wise(X0)) | ~brave(X0)) & (brave(X0) | (brave(X0) & wise(X0)))) [nnf transfo... | 0 |
Everyone who is not brave or not rich is not generous or not happy and vice versa.
Everyone who is either not happy or calm is not curious or patient.
Everyone who is either quiet or happy is either not calm or not quiet and vice versa.
If john is either not funny or not generous then someone is both creative and brave... | Fred is calm. | entailment | (![X]:((~brave(X)|~rich(X))<=>(~generous(X)|~happy(X))))&
(![X]:((~happy(X)<~>calm(X))=>(~curious(X)|patient(X))))&
(![X]:((quiet(X)<~>happy(X))<=>(~calm(X)<~>~quiet(X))))&
(((~funny(john)<~>~generous(john)))<=>(?[X]:((creative(X)&brave(X)))))&
(((quiet(fred)<~>kind(fred)))=>((~happy(mary)&quiet(mary))))&
(((kind(alice... | calm(fred) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4320639772855771221106009
% SZS output start Proof for 4320639772855771221106009
3. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> (~calm(X0) <~> ~quiet(X0))) [input p2]
14. ! [X0] : ((~happy(X0) <~> patient(X0)) <=> (brave(X0) | ~humble(X0))) [input p13]
16. ! [X0] : ((rich(X0) | ~rich(X0)) <=>... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.