premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not brave is not kind or kind.
If someone is not generous or rich then john is tall or humble and vice versa.
If someone is both rich and old then mary is strong or funny.
Everyone who is not old or humble is funny and vice versa.
Everyone who is brave or tall is not humble and vice versa.
Everyone who ... | Paul is not kind. | neutral | (![X]:(~brave(X)=>(~kind(X)|kind(X))))&
((?[X]:((~generous(X)|rich(X))))<=>((tall(john)|humble(john))))&
((?[X]:((rich(X)&old(X))))=>((strong(mary)|funny(mary))))&
(![X]:((~old(X)|humble(X))<=>funny(X)))&
(![X]:((brave(X)|tall(X))<=>~humble(X)))&
(![X]:(strong(X)=>(~old(X)<~>~creative(X))))&
(![X]:((calm(X)&brave(X))=>... | ~kind(paul) | [] | null | 0 |
Everyone who is not patient or calm is either humble or creative and vice versa. Everyone who is both funny and not calm is happy. Everyone who is either strong or humble is funny or curious and vice versa. If someone is either not tall or funny then paul is not creative. Everyone who is both brave and humble is either... | Alice is curious. | entailment | (![X]:((~patient(X)|calm(X))<=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)&~calm(X))=>happy(X)))&
(![X]:((strong(X)<~>humble(X))<=>(funny(X)|curious(X))))&
((?[X]:((~tall(X)<~>funny(X))))=>(~creative(paul)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(alice)<~>quiet(alice)))=>(?[X]:((~curious(X... | curious(alice) | [
"p0",
"p6",
"p7",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5591984839462106998981457
% SZS output start Proof for 5591984839462106998981457
1. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (humble(X0) <~> creative(X0))) [input p0]
7. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> ~patient(X0)) [input p6]
8. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise(X0... | 0 |
If someone is either strong or old then alice is curious and vice versa.
Everyone who is not curious or rich is kind or old and vice versa.
If paul is both not creative and strong then someone is either happy or not kind and vice versa.
If someone is both funny and not strong then someone is both humble and not strong.... | Alice is kind. | entailment | ((?[X]:((strong(X)<~>old(X))))<=>(curious(alice)))&
(![X]:((~curious(X)|rich(X))<=>(kind(X)|old(X))))&
(((~creative(paul)&strong(paul)))<=>(?[X]:((happy(X)<~>~kind(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((humble(X)&~strong(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((~calm(X)|~wise(X)))))&
(((generous(lucy)<~>strong(luc... | kind(alice) | [
"p1",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6267483997086488269893104
% SZS output start Proof for 6267483997086488269893104
2. ! [X0] : ((rich(X0) | ~curious(X0)) <=> (old(X0) | kind(X0))) [input p1]
10. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p9]
11. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p10]
... | 0 |
If someone is not strong then someone is either not brave or curious.
If someone is wise then alice is either wise or humble and vice versa.
Everyone who is brave is not curious or not generous.
If someone is either not tall or patient then alice is both not tall and tall.
If mary is both not brave and kind then someon... | Lucy is tall. | entailment | ((?[X]:(~strong(X)))=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:(wise(X)))<=>((wise(alice)<~>humble(alice))))&
(![X]:(brave(X)=>(~curious(X)|~generous(X))))&
((?[X]:((~tall(X)<~>patient(X))))=>((~tall(alice)&tall(alice))))&
(((~brave(mary)&kind(mary)))=>(?[X]:((curious(X)|~curious(X)))))&
(![X]:((~wise(X)&~kind(X))<=>... | tall(lucy) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3754417363336884361793406
% SZS output start Proof for 3754417363336884361793406
4. ? [X0] : (~tall(X0) <~> patient(X0)) => (tall(alice) & ~tall(alice)) [input p3]
12. ! [X0] : ((patient(X0) <~> tall(X0)) <=> tall(X0)) [input p11]
21. ~tall(lucy) [input hypothesis]
28. (tall(alice) & ~tal... | 0 |
If paul is either quiet or generous then john is not strong.
Everyone who is both not creative and old is not strong or old.
If someone is either calm or quiet then alice is not strong or not calm and vice versa.
If someone is both not old and patient then paul is both not quiet and not patient and vice versa.
Everyone... | Lucy is not funny. | neutral | (((quiet(paul)<~>generous(paul)))=>(~strong(john)))&
(![X]:((~creative(X)&old(X))=>(~strong(X)|old(X))))&
((?[X]:((calm(X)<~>quiet(X))))<=>((~strong(alice)|~calm(alice))))&
((?[X]:((~old(X)&patient(X))))<=>((~quiet(paul)&~patient(paul))))&
(![X]:(~calm(X)<=>(brave(X)<~>~happy(X))))&
(![X]:((creative(X)<~>~rich(X))<=>hu... | ~funny(lucy) | [] | null | 0 |
Everyone who is either kind or not brave is tall.
If susan is both not happy and strong then fred is not old.
If someone is not humble or not quiet then someone is both strong and not wise and vice versa.
Everyone who is brave is not happy or patient and vice versa.
If someone is happy or kind then someone is not wise ... | Mary is not old. | neutral | (![X]:((kind(X)<~>~brave(X))=>tall(X)))&
(((~happy(susan)&strong(susan)))=>(~old(fred)))&
((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(brave(X)<=>(~happy(X)|patient(X))))&
((?[X]:((happy(X)|kind(X))))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)<~>calm(X))<=>~quiet(X)))&
(![X]:((~patient(X)<~>h... | ~old(mary) | [] | null | 0 |
Everyone who is both not kind and funny is both not brave and not old. Everyone who is creative or not quiet is not humble and vice versa. If someone is either strong or brave then susan is funny and vice versa. Everyone who is creative or not tall is kind or brave. If someone is both generous and not happy then lucy i... | Fred is not generous. | neutral | (![X]:((~kind(X)&funny(X))=>(~brave(X)&~old(X))))&
(![X]:((creative(X)|~quiet(X))<=>~humble(X)))&
((?[X]:((strong(X)<~>brave(X))))<=>(funny(susan)))&
(![X]:((creative(X)|~tall(X))=>(kind(X)|brave(X))))&
((?[X]:((generous(X)&~happy(X))))<=>(~curious(lucy)))&
(![X]:((happy(X)|~patient(X))<=>(quiet(X)&~brave(X))))&
(![X]:... | ~generous(fred) | [] | null | 0 |
If mary is old then someone is not funny or tall.
Everyone who is not funny is not calm.
If susan is brave or humble then someone is strong or not generous and vice versa.
If paul is generous then paul is both brave and not funny.
If someone is either kind or not humble then someone is both rich and not curious and vic... | Paul is not strong. | entailment | ((old(mary))=>(?[X]:((~funny(X)|tall(X)))))&
(![X]:(~funny(X)=>~calm(X)))&
(((brave(susan)|humble(susan)))<=>(?[X]:((strong(X)|~generous(X)))))&
((generous(paul))=>((brave(paul)&~funny(paul))))&
((?[X]:((kind(X)<~>~humble(X))))<=>(?[X]:((rich(X)&~curious(X)))))&
(![X]:((~strong(X)<~>brave(X))=>(rich(X)&~rich(X))))&
((?... | ~strong(paul) | [
"p3",
"p5",
"p6",
"p8",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 423474230478482235431358
% SZS output start Proof for 423474230478482235431358
4. generous(paul) => (~funny(paul) & brave(paul)) [input p3]
6. ! [X0] : ((~strong(X0) <~> brave(X0)) => (~rich(X0) & rich(X0))) [input p5]
7. ? [X0] : (old(X0) | ~kind(X0)) => (~generous(paul) <~> ~quiet(paul)... | 0 |
If someone is both not old and not creative then fred is old or humble and vice versa.
Everyone who is not curious or creative is both not funny and not creative and vice versa.
Everyone who is not creative is both patient and humble.
Everyone who is both not rich and not tall is either kind or not quiet and vice versa... | Mary is creative. | contradiction | ((?[X]:((~old(X)&~creative(X))))<=>((old(fred)|humble(fred))))&
(![X]:((~curious(X)|creative(X))<=>(~funny(X)&~creative(X))))&
(![X]:(~creative(X)=>(patient(X)&humble(X))))&
(![X]:((~rich(X)&~tall(X))<=>(kind(X)<~>~quiet(X))))&
(![X]:((rich(X)<~>tall(X))<=>(kind(X)&~curious(X))))&
((?[X]:((~kind(X)|happy(X))))<=>((~wis... | creative(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 403066758215508943890680
% SZS output start Proof for 403066758215508943890680
2. ! [X0] : ((creative(X0) | ~curious(X0)) <=> (~creative(X0) & ~funny(X0))) [input p1]
23. creative(mary) [input hypothesis]
36. ! [X0] : (((creative(X0) | ~curious(X0)) | (creative(X0) | funny(X0))) & ((~crea... | 0 |
If someone is kind or not happy then paul is either not old or not creative and vice versa. If alice is either not happy or not calm then fred is not quiet. Everyone who is both old and humble is either generous or not funny. Everyone who is not brave or wise is not rich or not quiet. Everyone who is not old or generou... | Alice is kind. | neutral | ((?[X]:((kind(X)|~happy(X))))<=>((~old(paul)<~>~creative(paul))))&
(((~happy(alice)<~>~calm(alice)))=>(~quiet(fred)))&
(![X]:((old(X)&humble(X))=>(generous(X)<~>~funny(X))))&
(![X]:((~brave(X)|wise(X))=>(~rich(X)|~quiet(X))))&
(![X]:((~old(X)|generous(X))=>(~happy(X)|tall(X))))&
(((~strong(fred)|curious(fred)))=>(?[X]:... | kind(alice) | [] | null | 0 |
Everyone who is either not calm or not quiet is both not happy and not calm and vice versa. If someone is not old or tall then john is either generous or curious and vice versa. Everyone who is both not tall and not humble is kind. Everyone who is either old or not creative is rich and vice versa. If someone is either ... | John is calm. | entailment | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&~calm(X))))&
((?[X]:((~old(X)|tall(X))))<=>((generous(john)<~>curious(john))))&
(![X]:((~tall(X)&~humble(X))=>kind(X)))&
(![X]:((old(X)<~>~creative(X))<=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~tall(X)&~strong(X)))))&
(((~kind(john)|~creative(john)))<=>(~rich(ma... | calm(john) | [
"p0",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7985406492318363251255352
% SZS output start Proof for 7985406492318363251255352
1. ! [X0] : ((~calm(X0) <~> ~quiet(X0)) <=> (~calm(X0) & ~happy(X0))) [input p0]
10. ! [X0] : (~humble(X0) <=> (~calm(X0) <~> happy(X0))) [input p9]
15. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> (happy(X0) & ~fu... | 0 |
Everyone who is patient or not patient is calm or tall. Everyone who is both not quiet and not old is calm and vice versa. If john is not wise or curious then someone is not patient. If paul is strong or old then paul is not tall and vice versa. If someone is wise or kind then someone is both quiet and calm and vice ve... | Susan is not strong. | neutral | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~quiet(X)&~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((quiet(X)&calm(X)))))&
(((happy(lucy)&wise(lucy)))<=>(quiet(susan)))&
(((curious(alice)|... | ~strong(susan) | [] | null | 0 |
Everyone who is both not rich and curious is quiet.
Everyone who is both brave and not strong is either quiet or rich and vice versa.
Everyone who is either creative or not happy is both not happy and brave.
If fred is both happy and brave then someone is tall or not curious.
Everyone who is not tall is either not wise... | Alice is tall. | contradiction | (![X]:((~rich(X)&curious(X))=>quiet(X)))&
(![X]:((brave(X)&~strong(X))<=>(quiet(X)<~>rich(X))))&
(![X]:((creative(X)<~>~happy(X))=>(~happy(X)&brave(X))))&
(((happy(fred)&brave(fred)))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:(~tall(X)<=>(~wise(X)<~>~strong(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((creative(fred)|~h... | tall(alice) | [
"p0",
"p1",
"p4",
"p10",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5148524439182007436928029
% SZS output start Proof for 5148524439182007436928029
1. ! [X0] : ((curious(X0) & ~rich(X0)) => quiet(X0)) [input p0]
2. ! [X0] : ((~strong(X0) & brave(X0)) <=> (quiet(X0) <~> rich(X0))) [input p1]
5. ! [X0] : (~tall(X0) <=> (~wise(X0) <~> ~strong(X0))) [input p... | 0 |
Everyone who is both happy and not generous is both quiet and humble and vice versa.
If alice is either creative or brave then mary is both wise and funny.
If john is old then alice is both happy and calm.
If alice is either not wise or generous then susan is calm or wise.
If john is funny then someone is strong and vi... | John is brave. | neutral | (![X]:((happy(X)&~generous(X))<=>(quiet(X)&humble(X))))&
(((creative(alice)<~>brave(alice)))=>((wise(mary)&funny(mary))))&
((old(john))=>((happy(alice)&calm(alice))))&
(((~wise(alice)<~>generous(alice)))=>((calm(susan)|wise(susan))))&
((funny(john))<=>(?[X]:(strong(X))))&
(![X]:((old(X)|funny(X))=>(~wise(X)&~strong(X))... | brave(john) | [] | null | 0 |
Everyone who is both not patient and not generous is quiet and vice versa.
If mary is not patient or kind then someone is either not tall or not brave and vice versa.
Everyone who is either not creative or not strong is not funny or not quiet.
Everyone who is either generous or not generous is either not old or creativ... | Susan is not brave. | neutral | (![X]:((~patient(X)&~generous(X))<=>quiet(X)))&
(((~patient(mary)|kind(mary)))<=>(?[X]:((~tall(X)<~>~brave(X)))))&
(![X]:((~creative(X)<~>~strong(X))=>(~funny(X)|~quiet(X))))&
(![X]:((generous(X)<~>~generous(X))=>(~old(X)<~>creative(X))))&
(((generous(fred)&~quiet(fred)))=>((~creative(lucy)|tall(lucy))))&
((~humble(mar... | ~brave(susan) | [] | null | 0 |
If fred is wise then someone is not tall or brave.
Everyone who is either brave or not old is creative and vice versa.
Everyone who is both humble and brave is not calm or quiet and vice versa.
If someone is strong then paul is brave or not curious.
If susan is either not curious or not strong then susan is happy or no... | Susan is funny. | contradiction | ((wise(fred))=>(?[X]:((~tall(X)|brave(X)))))&
(![X]:((brave(X)<~>~old(X))<=>creative(X)))&
(![X]:((humble(X)&brave(X))<=>(~calm(X)|quiet(X))))&
((?[X]:(strong(X)))=>((brave(paul)|~curious(paul))))&
(((~curious(susan)<~>~strong(susan)))=>((happy(susan)|~strong(susan))))&
(![X]:((~brave(X)|~rich(X))<=>(old(X)&rich(X))))&... | funny(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2951951960780424641857164
% SZS output start Proof for 2951951960780424641857164
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((brave(X0) & humble(X0)) <=> (quiet(X0) | ~calm(X0))) [input p2]
6. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (rich(X0) & old(X0)))... | 0 |
If john is either not rich or rich then someone is brave and vice versa.
If someone is either not humble or quiet then fred is not calm.
If lucy is either tall or not humble then fred is either kind or not old.
Everyone who is brave or not kind is both patient and not calm and vice versa.
Everyone who is both not stron... | Lucy is kind. | entailment | (((~rich(john)<~>rich(john)))<=>(?[X]:(brave(X))))&
((?[X]:((~humble(X)<~>quiet(X))))=>(~calm(fred)))&
(((tall(lucy)<~>~humble(lucy)))=>((kind(fred)<~>~old(fred))))&
(![X]:((brave(X)|~kind(X))<=>(patient(X)&~calm(X))))&
(![X]:((~strong(X)&~patient(X))<=>~wise(X)))&
((?[X]:((kind(X)|~generous(X))))=>(?[X]:((kind(X)|wise... | kind(lucy) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6812481412846129690945021
% SZS output start Proof for 6812481412846129690945021
4. ! [X0] : ((~kind(X0) | brave(X0)) <=> (~calm(X0) & patient(X0))) [input p3]
15. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0) <~> kind(X0))) [input p14]
25. ~kind(lucy) [input hypothesis]
42. ! ... | 0 |
Everyone who is not wise or not brave is old. If alice is either creative or not brave then lucy is either quiet or not humble. Everyone who is not quiet or generous is either kind or curious and vice versa. If someone is curious then mary is both not humble and not wise. Everyone who is either strong or not curious is... | Lucy is old. | neutral | (![X]:((~wise(X)|~brave(X))=>old(X)))&
(((creative(alice)<~>~brave(alice)))=>((quiet(lucy)<~>~humble(lucy))))&
(![X]:((~quiet(X)|generous(X))<=>(kind(X)<~>curious(X))))&
((?[X]:(curious(X)))=>((~humble(mary)&~wise(mary))))&
(![X]:((strong(X)<~>~curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((curious(X)&patient(X))<=>(str... | old(lucy) | [] | null | 0 |
Everyone who is tall or not tall is either not calm or not generous. Everyone who is either humble or old is rich or kind and vice versa. Everyone who is rich or not wise is generous. Everyone who is not strong is not tall or patient. Everyone who is both not creative and not generous is not calm and vice versa. If mar... | Mary is not patient. | contradiction | (![X]:((tall(X)|~tall(X))=>(~calm(X)<~>~generous(X))))&
(![X]:((humble(X)<~>old(X))<=>(rich(X)|kind(X))))&
(![X]:((rich(X)|~wise(X))=>generous(X)))&
(![X]:(~strong(X)=>(~tall(X)|patient(X))))&
(![X]:((~creative(X)&~generous(X))<=>~calm(X)))&
(((kind(mary)&happy(mary)))<=>((~kind(susan)<~>quiet(susan))))&
(![X]:((~tall(... | ~patient(mary) | [
"p0",
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1527318204747937741734555
% SZS output start Proof for 1527318204747937741734555
1. ! [X0] : ((~tall(X0) | tall(X0)) => (~calm(X0) <~> ~generous(X0))) [input p0]
3. ! [X0] : ((~wise(X0) | rich(X0)) => generous(X0)) [input p2]
5. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> ~calm(X0)) [in... | 0 |
Everyone who is kind is either quiet or not happy.
If fred is either wise or creative then alice is strong and vice versa.
If lucy is either not rich or brave then someone is not tall and vice versa.
Everyone who is wise or not patient is either strong or not humble.
If someone is either not creative or creative then s... | Alice is not generous. | entailment | (![X]:(kind(X)=>(quiet(X)<~>~happy(X))))&
(((wise(fred)<~>creative(fred)))<=>(strong(alice)))&
(((~rich(lucy)<~>brave(lucy)))<=>(?[X]:(~tall(X))))&
(![X]:((wise(X)|~patient(X))=>(strong(X)<~>~humble(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((old(X)&~funny(X)))))&
(![X]:((~happy(X)<~>~wise(X))<=>(~quiet(X)|~... | ~generous(alice) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 292811774200629746290723
% SZS output start Proof for 292811774200629746290723
7. ? [X0] : (~brave(X0) <~> happy(X0)) => (~rich(paul) & rich(paul)) [input p6]
8. ! [X0] : ((generous(X0) | calm(X0)) <=> (~brave(X0) & rich(X0))) [input p7]
9. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~humbl... | 0 |
Everyone who is both not quiet and not happy is not patient and vice versa.
Everyone who is curious is creative and vice versa.
Everyone who is both not patient and curious is not tall or not quiet and vice versa.
Everyone who is not funny is either old or not generous.
Everyone who is both not humble and not wise is n... | John is not rich. | contradiction | (![X]:((~quiet(X)&~happy(X))<=>~patient(X)))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:((~patient(X)&curious(X))<=>(~tall(X)|~quiet(X))))&
(![X]:(~funny(X)=>(old(X)<~>~generous(X))))&
(![X]:((~humble(X)&~wise(X))<=>~calm(X)))&
(![X]:((humble(X)<~>~rich(X))<=>(generous(X)&~wise(X))))&
(![X]:((~strong(X)<~>~humble(X))<=>... | ~rich(john) | [
"p1",
"p2",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2672282427071784027939845
% SZS output start Proof for 2672282427071784027939845
2. ! [X0] : (curious(X0) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) & ~patient(X0)) <=> (~quiet(X0) | ~tall(X0))) [input p2]
7. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> (strong(X0) <~> quiet(X0... | 0 |
Everyone who is either not wise or not old is not wise and vice versa.
Everyone who is either not wise or not patient is tall.
Everyone who is not calm is not generous.
Everyone who is not happy or old is funny or brave and vice versa.
Everyone who is calm is both patient and calm.
Everyone who is either not creative o... | John is curious. | neutral | (![X]:((~wise(X)<~>~old(X))<=>~wise(X)))&
(![X]:((~wise(X)<~>~patient(X))=>tall(X)))&
(![X]:(~calm(X)=>~generous(X)))&
(![X]:((~happy(X)|old(X))<=>(funny(X)|brave(X))))&
(![X]:(calm(X)=>(patient(X)&calm(X))))&
(![X]:((~creative(X)<~>~generous(X))<=>(~rich(X)|~happy(X))))&
(![X]:((curious(X)<~>creative(X))=>(~creative(X... | curious(john) | [] | null | 0 |
If someone is either not brave or not kind then someone is either not creative or quiet.
Everyone who is not humble or happy is not old or strong and vice versa.
Everyone who is both not generous and calm is either wise or not kind and vice versa.
If mary is either not kind or not curious then fred is not rich or not c... | Fred is not quiet. | neutral | ((?[X]:((~brave(X)<~>~kind(X))))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((~humble(X)|happy(X))<=>(~old(X)|strong(X))))&
(![X]:((~generous(X)&calm(X))<=>(wise(X)<~>~kind(X))))&
(((~kind(mary)<~>~curious(mary)))=>((~rich(fred)|~creative(fred))))&
(![X]:((old(X)|~strong(X))=>(wise(X)&generous(X))))&
((?[X]:((~quiet(X... | ~quiet(fred) | [] | null | 0 |
If fred is patient or not calm then someone is both kind and not tall. If susan is tall then alice is either wise or generous. If fred is curious then alice is not curious and vice versa. Everyone who is either not wise or rich is generous. If someone is not tall then someone is either not generous or not wise. If some... | Fred is not curious. | contradiction | (((patient(fred)|~calm(fred)))=>(?[X]:((kind(X)&~tall(X)))))&
((tall(susan))=>((wise(alice)<~>generous(alice))))&
((curious(fred))<=>(~curious(alice)))&
(![X]:((~wise(X)<~>rich(X))=>generous(X)))&
((?[X]:(~tall(X)))=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((~tall(X)<~>tall(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))... | ~curious(fred) | [
"p0",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1575879774903046007605357
% SZS output start Proof for 1575879774903046007605357
1. (~calm(fred) | patient(fred)) => ? [X0] : (~tall(X0) & kind(X0)) [input p0]
7. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~kind(X0)) [input p6]
9. ! [X0] : ((curious(X0) | ~calm(X0)) <=> (rich(X0) | quiet(X0))... | 0 |
Everyone who is not curious or not patient is rich or not calm. If john is patient then fred is calm. Everyone who is both quiet and brave is either not quiet or not generous and vice versa. If someone is not humble then alice is not rich and vice versa. Everyone who is funny or not kind is tall and vice versa. If mary... | Alice is brave. | contradiction | (![X]:((~curious(X)|~patient(X))=>(rich(X)|~calm(X))))&
((patient(john))=>(calm(fred)))&
(![X]:((quiet(X)&brave(X))<=>(~quiet(X)<~>~generous(X))))&
((?[X]:(~humble(X)))<=>(~rich(alice)))&
(![X]:((funny(X)|~kind(X))<=>tall(X)))&
(((~calm(mary)|~funny(mary)))<=>(?[X]:((~kind(X)&~old(X)))))&
(![X]:((tall(X)<~>~brave(X))<=... | brave(alice) | [
"p2",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 34153435024759904354635
% SZS output start Proof for 34153435024759904354635
3. ! [X0] : ((brave(X0) & quiet(X0)) <=> (~quiet(X0) <~> ~generous(X0))) [input p2]
15. ! [X0] : ((brave(X0) <~> generous(X0)) <=> (happy(X0) & old(X0))) [input p14]
17. patient(alice) & ~old(alice) [input p16]
2... | 0 |
If someone is both curious and creative then mary is either not wise or generous and vice versa. Everyone who is kind is both not quiet and quiet and vice versa. If someone is both wise and kind then fred is either patient or kind and vice versa. Everyone who is not kind is either not old or quiet. If someone is either... | Fred is kind. | contradiction | ((?[X]:((curious(X)&creative(X))))<=>((~wise(mary)<~>generous(mary))))&
(![X]:(kind(X)<=>(~quiet(X)&quiet(X))))&
((?[X]:((wise(X)&kind(X))))<=>((patient(fred)<~>kind(fred))))&
(![X]:(~kind(X)=>(~old(X)<~>quiet(X))))&
((?[X]:((wise(X)<~>funny(X))))=>(?[X]:((brave(X)<~>humble(X)))))&
((?[X]:((~curious(X)&~old(X))))<=>(?[... | kind(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3092237711987660664381936
% SZS output start Proof for 3092237711987660664381936
2. ! [X0] : (kind(X0) <=> (quiet(X0) & ~quiet(X0))) [input p1]
24. kind(fred) [input hypothesis]
39. ! [X0] : ((kind(X0) | (~quiet(X0) | quiet(X0))) & ((quiet(X0) & ~quiet(X0)) | ~kind(X0))) [nnf transformati... | 0 |
If alice is both curious and creative then mary is not brave or not funny and vice versa.
Everyone who is both not kind and patient is both wise and rich.
If fred is not kind then fred is both not patient and rich and vice versa.
Everyone who is both not strong and patient is strong and vice versa.
If susan is either n... | Lucy is strong. | contradiction | (((curious(alice)&creative(alice)))<=>((~brave(mary)|~funny(mary))))&
(![X]:((~kind(X)&patient(X))=>(wise(X)&rich(X))))&
((~kind(fred))<=>((~patient(fred)&rich(fred))))&
(![X]:((~strong(X)&patient(X))<=>strong(X)))&
(((~humble(susan)<~>~quiet(susan)))=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((~humble(X)<~>~kind(X))=>(... | strong(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8002266321248450271465334
% SZS output start Proof for 8002266321248450271465334
4. ! [X0] : ((patient(X0) & ~strong(X0)) <=> strong(X0)) [input p3]
25. strong(lucy) [input hypothesis]
47. ! [X0] : (((patient(X0) & ~strong(X0)) | ~strong(X0)) & (strong(X0) | (~patient(X0) | strong(X0)))) ... | 0 |
Everyone who is brave or not curious is both brave and old and vice versa.
Everyone who is happy is funny or kind.
If lucy is not funny then mary is either not quiet or not creative and vice versa.
Everyone who is both happy and calm is not creative or not humble and vice versa.
If someone is not happy then mary is not... | Fred is creative. | entailment | (![X]:((brave(X)|~curious(X))<=>(brave(X)&old(X))))&
(![X]:(happy(X)=>(funny(X)|kind(X))))&
((~funny(lucy))<=>((~quiet(mary)<~>~creative(mary))))&
(![X]:((happy(X)&calm(X))<=>(~creative(X)|~humble(X))))&
((?[X]:(~happy(X)))<=>(~calm(mary)))&
(((~creative(alice)|~brave(alice)))=>(~kind(lucy)))&
((?[X]:((brave(X)<~>stron... | creative(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5964285226399109995541131
% SZS output start Proof for 5964285226399109995541131
14. (~wise(fred) & creative(fred)) <=> ? [X0] : ~creative(X0) [input p13]
21. ~creative(fred) [input hypothesis]
51. ((~wise(fred) & creative(fred)) | ! [X0] : creative(X0)) & (? [X0] : ~creative(X0) | (wise(... | 0 |
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who is funny or not kind is either not strong or curious.
If someone is not rich then lucy is quiet and vice versa.
Everyone who is not happy is both strong and tall.
If mary is both not happy and not kind then fred is both not brave and c... | Paul is not generous. | contradiction | (![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=>(quiet(lucy)))&
(![X]:(~happy(X)=>(strong(X)&tall(X))))&
(((~happy(mary)&~kind(mary)))=>((~brave(fred)&calm(fred))))&
(![X]:((~curious(X)&~tall(X))<=>tall(X)))&
(![X]:(~strong(X)=>happy(X))... | ~generous(paul) | [
"p1",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5348793834371349112134365
% SZS output start Proof for 5348793834371349112134365
2. ! [X0] : ((~kind(X0) | funny(X0)) => (~strong(X0) <~> curious(X0))) [input p1]
6. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> tall(X0)) [input p5]
12. ! [X0] : (~rich(X0) <=> (~brave(X0) | rich(X0))) [input p... | 0 |
If someone is both calm and not kind then alice is either curious or tall. Everyone who is not happy or not old is tall or not wise. If susan is both funny and not tall then paul is old or not creative. Everyone who is not patient or old is either wise or strong. Everyone who is both tall and generous is old or tall. E... | Fred is not happy. | contradiction | ((?[X]:((calm(X)&~kind(X))))=>((curious(alice)<~>tall(alice))))&
(![X]:((~happy(X)|~old(X))=>(tall(X)|~wise(X))))&
(((funny(susan)&~tall(susan)))=>((old(paul)|~creative(paul))))&
(![X]:((~patient(X)|old(X))=>(wise(X)<~>strong(X))))&
(![X]:((tall(X)&generous(X))=>(old(X)|tall(X))))&
(![X]:((~wise(X)&~old(X))<=>(quiet(X)... | ~happy(fred) | [
"p6",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5609492979899302033209771
% SZS output start Proof for 5609492979899302033209771
7. happy(fred) <=> ? [X0] : (~generous(X0) & ~happy(X0)) [input p6]
8. ! [X0] : ((generous(X0) | happy(X0)) => calm(X0)) [input p7]
19. tall(lucy) & ~calm(lucy) [input p18]
24. ~happy(fred) [input hypothesis]... | 0 |
If susan is either not kind or calm then paul is wise or not calm and vice versa. Everyone who is rich is either calm or quiet and vice versa. If someone is not tall or not happy then someone is curious and vice versa. If someone is either not old or funny then paul is either not funny or not calm. Everyone who is not ... | John is not generous. | entailment | (((~kind(susan)<~>calm(susan)))<=>((wise(paul)|~calm(paul))))&
(![X]:(rich(X)<=>(calm(X)<~>quiet(X))))&
((?[X]:((~tall(X)|~happy(X))))<=>(?[X]:(curious(X))))&
((?[X]:((~old(X)<~>funny(X))))=>((~funny(paul)<~>~calm(paul))))&
(![X]:((~rich(X)|~strong(X))=>(rich(X)|kind(X))))&
(![X]:((~wise(X)|~rich(X))<=>(old(X)|~funny(X... | ~generous(john) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7920901817830249901122640
% SZS output start Proof for 7920901817830249901122640
11. ! [X0] : ((~humble(X0) | rich(X0)) => strong(X0)) [input p10]
15. ! [X0] : ((strong(X0) | patient(X0)) <=> (~strong(X0) & tall(X0))) [input p14]
16. ! [X0] : ((generous(X0) | old(X0)) <=> ~humble(X0)) [in... | 0 |
If someone is either not humble or not strong then someone is not rich and vice versa.
If paul is creative or not kind then someone is patient and vice versa.
Everyone who is both creative and rich is not rich.
If fred is both not kind and rich then alice is creative and vice versa.
If someone is both not funny and qui... | Mary is not brave. | contradiction | ((?[X]:((~humble(X)<~>~strong(X))))<=>(?[X]:(~rich(X))))&
(((creative(paul)|~kind(paul)))<=>(?[X]:(patient(X))))&
(![X]:((creative(X)&rich(X))=>~rich(X)))&
(((~kind(fred)&rich(fred)))<=>(creative(alice)))&
((?[X]:((~funny(X)&quiet(X))))=>(humble(susan)))&
((~wise(paul))<=>((~wise(lucy)&creative(lucy))))&
((?[X]:((~pati... | ~brave(mary) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1390466154696121287555029
% SZS output start Proof for 1390466154696121287555029
10. ! [X0] : (~brave(X0) <=> (~happy(X0) & ~funny(X0))) [input p9]
13. (calm(john) <~> ~calm(john)) => happy(mary) [input p12]
24. ~brave(mary) [input hypothesis]
26. ! [X0] : (~brave(X0) => (~happy(X0) & ~fu... | 0 |
If mary is happy or patient then someone is both happy and patient.
If alice is either rich or not brave then alice is not brave or not curious and vice versa.
If someone is quiet then someone is humble.
If someone is both not happy and not creative then someone is not rich or not wise.
Everyone who is not patient or s... | Alice is wise. | entailment | (((happy(mary)|patient(mary)))=>(?[X]:((happy(X)&patient(X)))))&
(((rich(alice)<~>~brave(alice)))<=>((~brave(alice)|~curious(alice))))&
((?[X]:(quiet(X)))=>(?[X]:(humble(X))))&
((?[X]:((~happy(X)&~creative(X))))=>(?[X]:((~rich(X)|~wise(X)))))&
(![X]:((~patient(X)|strong(X))=>(~old(X)<~>~curious(X))))&
(((~humble(susan)... | wise(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5988932253073399002102807
% SZS output start Proof for 5988932253073399002102807
12. ! [X0] : ((~wise(X0) | ~funny(X0)) => (wise(X0) & ~generous(X0))) [input p11]
25. ~wise(alice) [input hypothesis]
43. ! [X0] : ((wise(X0) & ~generous(X0)) | (wise(X0) & funny(X0))) [ennf transformation 12... | 0 |
If alice is not rich then someone is both not old and old. If someone is not wise then mary is either not brave or curious and vice versa. Everyone who is either brave or not brave is not patient and vice versa. If someone is either creative or not wise then john is wise or not happy and vice versa. Everyone who is qui... | Alice is calm. | neutral | ((~rich(alice))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:(~wise(X)))<=>((~brave(mary)<~>curious(mary))))&
(![X]:((brave(X)<~>~brave(X))<=>~patient(X)))&
((?[X]:((creative(X)<~>~wise(X))))<=>((wise(john)|~happy(john))))&
(![X]:((quiet(X)|tall(X))<=>(~quiet(X)&happy(X))))&
(![X]:(generous(X)=>(tall(X)<~>~humble(X))))&
((?[X]:... | calm(alice) | [] | null | 0 |
Everyone who is either not quiet or not rich is wise or old.
If someone is quiet then someone is both not quiet and not tall and vice versa.
Everyone who is both funny and curious is either not wise or patient and vice versa.
Everyone who is not humble or creative is not patient and vice versa.
Everyone who is either q... | Susan is not calm. | neutral | (![X]:((~quiet(X)<~>~rich(X))=>(wise(X)|old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~quiet(X)&~tall(X)))))&
(![X]:((funny(X)&curious(X))<=>(~wise(X)<~>patient(X))))&
(![X]:((~humble(X)|creative(X))<=>~patient(X)))&
(![X]:((quiet(X)<~>~wise(X))<=>(funny(X)&~creative(X))))&
(![X]:((~generous(X)|~tall(X))<=>(quiet(X)<~>~stron... | ~calm(susan) | [] | null | 0 |
If someone is either not funny or not quiet then susan is not humble. Everyone who is not old or not tall is brave. If someone is not kind then someone is either not old or kind and vice versa. If mary is not rich then someone is either happy or not patient and vice versa. Everyone who is either not strong or creative ... | Mary is happy. | neutral | ((?[X]:((~funny(X)<~>~quiet(X))))=>(~humble(susan)))&
(![X]:((~old(X)|~tall(X))=>brave(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((~old(X)<~>kind(X)))))&
((~rich(mary))<=>(?[X]:((happy(X)<~>~patient(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>(funny(X)|~curious(X))))&
((strong(susan))<=>(generous(alice)))&
(![X]:((~humble(X)|~f... | happy(mary) | [] | null | 0 |
If susan is not humble then someone is both tall and not creative and vice versa. If lucy is humble or quiet then susan is not calm or calm and vice versa. If someone is tall then alice is not rich. Everyone who is rich is curious or humble and vice versa. Everyone who is strong is both not humble and curious and vice ... | Susan is wise. | contradiction | ((~humble(susan))<=>(?[X]:((tall(X)&~creative(X)))))&
(((humble(lucy)|quiet(lucy)))<=>((~calm(susan)|calm(susan))))&
((?[X]:(tall(X)))=>(~rich(alice)))&
(![X]:(rich(X)<=>(curious(X)|humble(X))))&
(![X]:(strong(X)<=>(~humble(X)&curious(X))))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|~strong(X))))&
(![X]:((generous(X)&~c... | wise(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4723513021608225696923143
% SZS output start Proof for 4723513021608225696923143
17. ~wise(susan) & ~quiet(susan) [input p16]
24. wise(susan) [input hypothesis]
128. ~wise(susan) [cnf transformation 17]
137. wise(susan) [cnf transformation 24]
225. 19 <=> wise(susan) [avatar definition]
2... | 0 |
If someone is both happy and quiet then someone is not brave. If lucy is both funny and not rich then susan is either not old or generous and vice versa. Everyone who is either not old or old is not brave and vice versa. If john is not calm or not strong then someone is either wise or quiet. If someone is not generous ... | Fred is not kind. | contradiction | ((?[X]:((happy(X)&quiet(X))))=>(?[X]:(~brave(X))))&
(((funny(lucy)&~rich(lucy)))<=>((~old(susan)<~>generous(susan))))&
(![X]:((~old(X)<~>old(X))<=>~brave(X)))&
(((~calm(john)|~strong(john)))=>(?[X]:((wise(X)<~>quiet(X)))))&
((?[X]:(~generous(X)))=>(?[X]:((generous(X)<~>strong(X)))))&
(![X]:((generous(X)&~brave(X))=>(~q... | ~kind(fred) | [
"p2",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7105271988426674828429161
% SZS output start Proof for 7105271988426674828429161
3. ! [X0] : ((~old(X0) <~> old(X0)) <=> ~brave(X0)) [input p2]
9. ! [X0] : ((~creative(X0) & brave(X0)) <=> (old(X0) | ~wise(X0))) [input p8]
14. ~kind(fred) => ~wise(susan) [input p13]
25. ~kind(fred) [input... | 0 |
Everyone who is not calm is strong or not humble. Everyone who is not quiet or not happy is either not brave or not curious. Everyone who is not humble or kind is both tall and brave and vice versa. Everyone who is not old or not generous is either strong or brave. Everyone who is brave or not curious is both wise and ... | Lucy is happy. | entailment | (![X]:(~calm(X)=>(strong(X)|~humble(X))))&
(![X]:((~quiet(X)|~happy(X))=>(~brave(X)<~>~curious(X))))&
(![X]:((~humble(X)|kind(X))<=>(tall(X)&brave(X))))&
(![X]:((~old(X)|~generous(X))=>(strong(X)<~>brave(X))))&
(![X]:((brave(X)|~curious(X))=>(wise(X)&~humble(X))))&
(![X]:((~humble(X)&~quiet(X))=>(generous(X)|~wise(X)))... | happy(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3787978459998121121947251
% SZS output start Proof for 3787978459998121121947251
2. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~brave(X0) <~> ~curious(X0))) [input p1]
3. ! [X0] : ((kind(X0) | ~humble(X0)) <=> (brave(X0) & tall(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | brave(X0)) => (~hu... | 0 |
Everyone who is not creative or not generous is strong or tall and vice versa. If paul is brave then alice is either strong or generous. If lucy is either strong or not generous then susan is either brave or not quiet. Everyone who is either funny or generous is both humble and not patient and vice versa. If paul is bo... | Paul is tall. | entailment | (![X]:((~creative(X)|~generous(X))<=>(strong(X)|tall(X))))&
((brave(paul))=>((strong(alice)<~>generous(alice))))&
(((strong(lucy)<~>~generous(lucy)))=>((brave(susan)<~>~quiet(susan))))&
(![X]:((funny(X)<~>generous(X))<=>(humble(X)&~patient(X))))&
(((tall(paul)&~wise(paul)))<=>(?[X]:(~old(X))))&
((?[X]:(kind(X)))<=>(?[X... | tall(paul) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1800134137322262623515652
% SZS output start Proof for 1800134137322262623515652
5. (~wise(paul) & tall(paul)) <=> ? [X0] : ~old(X0) [input p4]
18. creative(fred) & ~old(fred) [input p17]
25. ~tall(paul) [input hypothesis]
43. ((~wise(paul) & tall(paul)) | ! [X0] : old(X0)) & (? [X0] : ~o... | 0 |
If fred is either not kind or rich then fred is both not curious and not generous and vice versa.
If someone is either not strong or not old then someone is both not generous and not rich.
Everyone who is not quiet or not brave is tall and vice versa.
Everyone who is both not tall and curious is either not patient or h... | Susan is creative. | entailment | (((~kind(fred)<~>rich(fred)))<=>((~curious(fred)&~generous(fred))))&
((?[X]:((~strong(X)<~>~old(X))))=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>tall(X)))&
(![X]:((~tall(X)&curious(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~rich(X)&~old(X))<=>old(X)))&
(![X]:((~patient(X)|~calm(X))<=>(~happy(X)<... | creative(susan) | [
"p4",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4325698614031620800858324
% SZS output start Proof for 4325698614031620800858324
5. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p4]
9. ! [X0] : ((rich(X0) <~> happy(X0)) <=> (quiet(X0) | humble(X0))) [input p8]
11. ! [X0] : (~curious(X0) <=> (~strong(X0) | curious(X0))) [input p1... | 0 |
Everyone who is either funny or not rich is either rich or funny.
Everyone who is either not generous or creative is either not patient or not rich.
If someone is not generous then someone is not strong or tall.
Everyone who is not old is curious.
If someone is rich or not funny then someone is both calm and wise and v... | Mary is creative. | neutral | (![X]:((funny(X)<~>~rich(X))=>(rich(X)<~>funny(X))))&
(![X]:((~generous(X)<~>creative(X))=>(~patient(X)<~>~rich(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(~old(X)=>curious(X)))&
((?[X]:((rich(X)|~funny(X))))<=>(?[X]:((calm(X)&wise(X)))))&
(![X]:((rich(X)<~>curious(X))<=>(~happy(X)|calm(X))))&... | creative(mary) | [] | null | 0 |
Everyone who is either not curious or not calm is either not funny or tall and vice versa.
Everyone who is happy is either not creative or generous and vice versa.
Everyone who is both not creative and not generous is curious.
If someone is both not funny and quiet then someone is both funny and creative and vice versa... | Mary is not generous. | contradiction | (![X]:((~curious(X)<~>~calm(X))<=>(~funny(X)<~>tall(X))))&
(![X]:(happy(X)<=>(~creative(X)<~>generous(X))))&
(![X]:((~creative(X)&~generous(X))=>curious(X)))&
((?[X]:((~funny(X)&quiet(X))))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:(generous(X)=>(~tall(X)<~>quiet(X))))&
(![X]:((kind(X)&~funny(X))<=>(~humble(X)|rich(X))... | ~generous(mary) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6984348251805103271741050
% SZS output start Proof for 6984348251805103271741050
7. ? [X0] : (~kind(X0) | kind(X0)) <=> (~humble(mary) <~> quiet(mary)) [input p6]
10. ! [X0] : (quiet(X0) <=> (~humble(X0) | generous(X0))) [input p9]
22. ~generous(mary) [input hypothesis]
42. (? [X0] : (~ki... | 0 |
Everyone who is not patient or quiet is tall or not old.
If alice is both quiet and not generous then fred is not funny or not quiet and vice versa.
If susan is either generous or not brave then someone is both not creative and happy and vice versa.
Everyone who is either old or not quiet is not strong.
Everyone who is... | Fred is generous. | neutral | (![X]:((~patient(X)|quiet(X))=>(tall(X)|~old(X))))&
(((quiet(alice)&~generous(alice)))<=>((~funny(fred)|~quiet(fred))))&
(((generous(susan)<~>~brave(susan)))<=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((old(X)<~>~quiet(X))=>~strong(X)))&
(![X]:((~tall(X)&patient(X))<=>(creative(X)|strong(X))))&
((?[X]:((creative(X)<~>~... | generous(fred) | [] | null | 0 |
Everyone who is both not tall and funny is both wise and humble and vice versa. If someone is old then someone is not calm. If fred is humble or not humble then alice is calm and vice versa. If mary is both strong and not generous then john is either not curious or not strong. If alice is either not patient or funny th... | John is not brave. | contradiction | (![X]:((~tall(X)&funny(X))<=>(wise(X)&humble(X))))&
((?[X]:(old(X)))=>(?[X]:(~calm(X))))&
(((humble(fred)|~humble(fred)))<=>(calm(alice)))&
(((strong(mary)&~generous(mary)))=>((~curious(john)<~>~strong(john))))&
(((~patient(alice)<~>funny(alice)))=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((humble(X)<~>creative(X))))<=>... | ~brave(john) | [
"p1",
"p5",
"p6",
"p8",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 225328487537032727858141
% SZS output start Proof for 225328487537032727858141
2. ? [X0] : old(X0) => ? [X0] : ~calm(X0) [input p1]
6. ? [X0] : (humble(X0) <~> creative(X0)) <=> (old(john) & ~generous(john)) [input p5]
7. ! [X0] : ((~curious(X0) | ~patient(X0)) <=> (~rich(X0) & brave(X0))... | 0 |
If someone is strong then lucy is humble and vice versa. If someone is not strong then john is both humble and not wise and vice versa. Everyone who is not kind or not curious is both rich and not calm. If mary is both not old and not tall then susan is not calm. Everyone who is either curious or strong is patient and ... | Lucy is not wise. | contradiction | ((?[X]:(strong(X)))<=>(humble(lucy)))&
((?[X]:(~strong(X)))<=>((humble(john)&~wise(john))))&
(![X]:((~kind(X)|~curious(X))=>(rich(X)&~calm(X))))&
(((~old(mary)&~tall(mary)))=>(~calm(susan)))&
(![X]:((curious(X)<~>strong(X))<=>patient(X)))&
((?[X]:((happy(X)<~>old(X))))<=>(~funny(mary)))&
(![X]:(~patient(X)<=>brave(X)))... | ~wise(lucy) | [
"p4",
"p6",
"p7",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2724132659698285304245242
% SZS output start Proof for 2724132659698285304245242
5. ! [X0] : ((curious(X0) <~> strong(X0)) <=> patient(X0)) [input p4]
7. ! [X0] : (~patient(X0) <=> brave(X0)) [input p6]
8. ! [X0] : (~tall(X0) <=> (~old(X0) & ~funny(X0))) [input p7]
11. (curious(lucy) & ~c... | 0 |
If fred is wise or not kind then someone is not kind or not funny and vice versa.
Everyone who is happy is not old or not brave and vice versa.
Everyone who is either not tall or not funny is not tall and vice versa.
If someone is kind then someone is quiet.
If susan is either old or not creative then someone is humble... | Paul is generous. | entailment | (((wise(fred)|~kind(fred)))<=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:(happy(X)<=>(~old(X)|~brave(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>~tall(X)))&
((?[X]:(kind(X)))=>(?[X]:(quiet(X))))&
(((old(susan)<~>~creative(susan)))=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((g... | generous(paul) | [
"p2",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6448395828851566552664390
% SZS output start Proof for 6448395828851566552664390
3. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((~funny(X0) & generous(X0)) <=> old(X0)) [input p6]
10. ! [X0] : (~calm(X0) => (old(X0) & funny(X0))) [input p9]
14. (~curious(pa... | 0 |
Everyone who is creative is both rich and not patient and vice versa.
Everyone who is either not calm or not kind is either kind or not happy.
If alice is both curious and humble then alice is not quiet.
If someone is humble then someone is brave or not humble.
Everyone who is not humble or wise is not calm and vice ve... | Mary is rich. | neutral | (![X]:(creative(X)<=>(rich(X)&~patient(X))))&
(![X]:((~calm(X)<~>~kind(X))=>(kind(X)<~>~happy(X))))&
(((curious(alice)&humble(alice)))=>(~quiet(alice)))&
((?[X]:(humble(X)))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((~humble(X)|wise(X))<=>~calm(X)))&
(![X]:((~humble(X)<~>~tall(X))=>~old(X)))&
(((tall(alice)|~happy(alice... | rich(mary) | [] | null | 0 |
If mary is not strong or not creative then someone is calm and vice versa.
If someone is either kind or not funny then john is either not funny or not creative and vice versa.
If fred is tall or kind then paul is both calm and wise.
Everyone who is not curious or quiet is either not calm or not generous.
If someone is ... | Alice is humble. | entailment | (((~strong(mary)|~creative(mary)))<=>(?[X]:(calm(X))))&
((?[X]:((kind(X)<~>~funny(X))))<=>((~funny(john)<~>~creative(john))))&
(((tall(fred)|kind(fred)))=>((calm(paul)&wise(paul))))&
(![X]:((~curious(X)|quiet(X))=>(~calm(X)<~>~generous(X))))&
((?[X]:((~old(X)&~strong(X))))=>((~tall(alice)<~>curious(alice))))&
((?[X]:((... | humble(alice) | [
"p7",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6230194246726517916284885
% SZS output start Proof for 6230194246726517916284885
8. ! [X0] : ((kind(X0) <~> ~humble(X0)) <=> (patient(X0) | ~patient(X0))) [input p7]
13. ! [X0] : ((rich(X0) & happy(X0)) <=> (~curious(X0) <~> generous(X0))) [input p12]
14. (kind(john) & ~rich(john)) <=> ? ... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is humble or brave is kind.
If someone is not strong then alice is quiet.
Everyone who is not strong is both not creative and curious and vice versa.
Everyone who is not calm is old or not creative and vice versa.
If paul is funny or not t... | Mary is not generous. | entailment | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((humble(X)|brave(X))=>kind(X)))&
((?[X]:(~strong(X)))=>(quiet(alice)))&
(![X]:(~strong(X)<=>(~creative(X)&curious(X))))&
(![X]:(~calm(X)<=>(old(X)|~creative(X))))&
(((funny(paul)|~tall(paul)))=>((rich(paul)|happy(paul))))&
((?[X]:((~happy(X)<~>brave(X))))=>((tall(pa... | ~generous(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7155144355156029385730210
% SZS output start Proof for 7155144355156029385730210
16. ! [X0] : (generous(X0) => (~strong(X0) & strong(X0))) [input p15]
25. generous(mary) [input hypothesis]
43. ! [X0] : ((~strong(X0) & strong(X0)) | ~generous(X0)) [ennf transformation 16]
108. strong(X0) |... | 0 |
Everyone who is either not quiet or funny is quiet and vice versa. Everyone who is strong is either wise or quiet and vice versa. Everyone who is either rich or not humble is both not old and generous and vice versa. Everyone who is curious or creative is either not generous or funny. If mary is not generous or funny t... | Paul is not rich. | contradiction | (![X]:((~quiet(X)<~>funny(X))<=>quiet(X)))&
(![X]:(strong(X)<=>(wise(X)<~>quiet(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(~old(X)&generous(X))))&
(![X]:((curious(X)|creative(X))=>(~generous(X)<~>funny(X))))&
(((~generous(mary)|funny(mary)))=>(?[X]:((rich(X)<~>old(X)))))&
(((curious(paul)|~brave(paul)))=>(?[X]:((strong(X)... | ~rich(paul) | [
"p0",
"p2",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7244770949519141886740994
% SZS output start Proof for 7244770949519141886740994
1. ! [X0] : ((~quiet(X0) <~> funny(X0)) <=> quiet(X0)) [input p0]
3. ! [X0] : ((rich(X0) <~> ~humble(X0)) <=> (generous(X0) & ~old(X0))) [input p2]
4. ! [X0] : ((creative(X0) | curious(X0)) => (~generous(X0) ... | 0 |
Everyone who is either not curious or not kind is both humble and not curious and vice versa. Everyone who is humble or not wise is curious and vice versa. Everyone who is either wise or not patient is both not calm and rich. If john is either creative or not tall then someone is calm or not patient. Everyone who is no... | Mary is not curious. | contradiction | (![X]:((~curious(X)<~>~kind(X))<=>(humble(X)&~curious(X))))&
(![X]:((humble(X)|~wise(X))<=>curious(X)))&
(![X]:((wise(X)<~>~patient(X))=>(~calm(X)&rich(X))))&
(((creative(john)<~>~tall(john)))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:(~curious(X)=>(~funny(X)<~>~kind(X))))&
(![X]:(old(X)<=>(creative(X)|old(X))))&
((?[X]:... | ~curious(mary) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1157930966526514601855405
% SZS output start Proof for 1157930966526514601855405
1. ! [X0] : ((~curious(X0) <~> ~kind(X0)) <=> (~curious(X0) & humble(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | humble(X0)) <=> curious(X0)) [input p1]
13. ! [X0] : ((~kind(X0) <~> humble(X0)) <=> (~wise(X0) ... | 0 |
If alice is not curious or not old then someone is both not rich and humble.
Everyone who is both not happy and rich is creative and vice versa.
Everyone who is kind or patient is both tall and old and vice versa.
Everyone who is either not generous or rich is rich and vice versa.
Everyone who is not quiet is not curio... | Paul is kind. | entailment | (((~curious(alice)|~old(alice)))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>creative(X)))&
(![X]:((kind(X)|patient(X))<=>(tall(X)&old(X))))&
(![X]:((~generous(X)<~>rich(X))<=>rich(X)))&
(![X]:(~quiet(X)=>~curious(X)))&
((?[X]:((old(X)|brave(X))))<=>(~creative(paul)))&
((?[X]:((kind(X)&~funny(X))))<=>... | kind(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8169592214598230199624773
% SZS output start Proof for 8169592214598230199624773
9. ! [X0] : (kind(X0) <=> (happy(X0) | ~happy(X0))) [input p8]
22. ~kind(paul) [input hypothesis]
49. ! [X0] : ((kind(X0) | (~happy(X0) & happy(X0))) & ((happy(X0) | ~happy(X0)) | ~kind(X0))) [nnf transformat... | 0 |
Everyone who is either generous or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Every... | Susan is not generous. | entailment | (![X]:((generous(X)<~>~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(... | ~generous(susan) | [
"p3",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7461226950174586238468168
% SZS output start Proof for 7461226950174586238468168
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
11. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p10]
13. ! [X0] : (quiet(X0) <=> (~kind(X0) | ... | 0 |
Everyone who is both not calm and not old is not tall or not strong and vice versa.
If someone is quiet then mary is either generous or not calm and vice versa.
Everyone who is brave is not patient.
Everyone who is not tall is both calm and not strong.
If mary is either old or brave then alice is both rich and not calm... | Lucy is not rich. | neutral | (![X]:((~calm(X)&~old(X))<=>(~tall(X)|~strong(X))))&
((?[X]:(quiet(X)))<=>((generous(mary)<~>~calm(mary))))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(~tall(X)=>(calm(X)&~strong(X))))&
(((old(mary)<~>brave(mary)))=>((rich(alice)&~calm(alice))))&
(((calm(mary)<~>~calm(mary)))=>(?[X]:(~wise(X))))&
(![X]:((brave(X)<~>~happy(... | ~rich(lucy) | [] | null | 0 |
Everyone who is both happy and not quiet is not kind.
If someone is humble or rich then alice is brave or not humble and vice versa.
If someone is both not brave and not humble then someone is both not creative and not rich.
If paul is either not happy or patient then john is both not rich and funny and vice versa.
If ... | John is humble. | neutral | (![X]:((happy(X)&~quiet(X))=>~kind(X)))&
((?[X]:((humble(X)|rich(X))))<=>((brave(alice)|~humble(alice))))&
((?[X]:((~brave(X)&~humble(X))))=>(?[X]:((~creative(X)&~rich(X)))))&
(((~happy(paul)<~>patient(paul)))<=>((~rich(john)&funny(john))))&
(((~funny(fred)|old(fred)))<=>((brave(susan)&kind(susan))))&
((?[X]:((~wise(X)... | humble(john) | [] | null | 0 |
Everyone who is brave or happy is both quiet and not quiet and vice versa.
If mary is either creative or happy then paul is funny or not humble.
If someone is not curious then someone is both not curious and not calm and vice versa.
If someone is not generous or funny then john is not curious.
If alice is either creati... | John is not generous. | contradiction | (![X]:((brave(X)|happy(X))<=>(quiet(X)&~quiet(X))))&
(((creative(mary)<~>happy(mary)))=>((funny(paul)|~humble(paul))))&
((?[X]:(~curious(X)))<=>(?[X]:((~curious(X)&~calm(X)))))&
((?[X]:((~generous(X)|funny(X))))=>(~curious(john)))&
(((creative(alice)<~>wise(alice)))=>(?[X]:((old(X)<~>creative(X)))))&
((?[X]:((~curious(... | ~generous(john) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8265246923687029732568905
% SZS output start Proof for 8265246923687029732568905
1. ! [X0] : ((happy(X0) | brave(X0)) <=> (~quiet(X0) & quiet(X0))) [input p0]
10. ! [X0] : ((~generous(X0) | ~funny(X0)) => (creative(X0) & happy(X0))) [input p9]
25. ~generous(john) [input hypothesis]
37. ! ... | 0 |
Everyone who is not generous or curious is not brave or not strong and vice versa.
If john is both not funny and not wise then someone is humble and vice versa.
Everyone who is both not funny and kind is calm.
Everyone who is not rich or not tall is not brave or creative and vice versa.
Everyone who is either not brave... | Mary is rich. | entailment | (![X]:((~generous(X)|curious(X))<=>(~brave(X)|~strong(X))))&
(((~funny(john)&~wise(john)))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)&kind(X))=>calm(X)))&
(![X]:((~rich(X)|~tall(X))<=>(~brave(X)|creative(X))))&
(![X]:((~brave(X)<~>humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((~kind(X)<~>rich(X)))))&
... | rich(mary) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 200127282626070451288286
% SZS output start Proof for 200127282626070451288286
8. ! [X0] : (happy(X0) => rich(X0)) [input p7]
14. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p13]
24. ~rich(mary) [input hypothesis]
30. ! [X0] : (rich(X0) | ~happy(X0)) [ennf transformatio... | 0 |
Everyone who is strong or not patient is rich or not calm and vice versa.
Everyone who is not brave or not humble is both not tall and humble.
If fred is not kind then lucy is both not tall and generous and vice versa.
Everyone who is not generous is curious.
Everyone who is either not funny or kind is either patient o... | John is not rich. | entailment | (![X]:((strong(X)|~patient(X))<=>(rich(X)|~calm(X))))&
(![X]:((~brave(X)|~humble(X))=>(~tall(X)&humble(X))))&
((~kind(fred))<=>((~tall(lucy)&generous(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:((~funny(X)<~>kind(X))=>(patient(X)<~>kind(X))))&
(![X]:((~strong(X)<~>humble(X))=>(~wise(X)&~patient(X))))&
(![X]:(old... | ~rich(john) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7493021981143969722972834
% SZS output start Proof for 7493021981143969722972834
2. ! [X0] : ((~humble(X0) | ~brave(X0)) => (humble(X0) & ~tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) => curious(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> kind(X0)) => (patient(X0) <~> kind(X0))) [inp... | 0 |
If susan is either generous or calm then susan is not old or not humble and vice versa.
Everyone who is not creative is not generous or kind and vice versa.
If someone is both not tall and quiet then someone is both not kind and not wise and vice versa.
If someone is not kind then lucy is either creative or old.
Everyo... | Fred is brave. | contradiction | (((generous(susan)<~>calm(susan)))<=>((~old(susan)|~humble(susan))))&
(![X]:(~creative(X)<=>(~generous(X)|kind(X))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((~kind(X)&~wise(X)))))&
((?[X]:(~kind(X)))=>((creative(lucy)<~>old(lucy))))&
(![X]:((~curious(X)<~>wise(X))<=>(wise(X)&~curious(X))))&
(![X]:(~happy(X)<=>(generous... | brave(fred) | [
"p4",
"p9",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 746307419359830947374099
% SZS output start Proof for 746307419359830947374099
5. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (~curious(X0) & wise(X0))) [input p4]
10. ! [X0] : ((~old(X0) | ~brave(X0)) => (strong(X0) & old(X0))) [input p9]
13. ! [X0] : ((strong(X0) <~> tall(X0)) => (~genero... | 0 |
Everyone who is both not funny and calm is both humble and not humble and vice versa. Everyone who is either not brave or kind is both not wise and not strong and vice versa. If john is not wise or not quiet then someone is wise and vice versa. If someone is both not wise and generous then lucy is old. If john is eithe... | Alice is curious. | neutral | (![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)|~quiet(john)))<=>(?[X]:(wise(X))))&
((?[X]:((~wise(X)&generous(X))))=>(old(lucy)))&
(((~old(john)<~>strong(john)))=>((wise(lucy)&calm(lucy))))&
((?[X]:((~tall(X)|tall(X))))<=>(?[X]:((happy(X)|hu... | curious(alice) | [] | null | 0 |
If someone is either not strong or old then someone is either humble or curious and vice versa.
Everyone who is both calm and not happy is calm and vice versa.
Everyone who is calm or generous is both brave and not tall and vice versa.
If someone is either not tall or not strong then someone is both happy and not quiet... | John is not tall. | contradiction | ((?[X]:((~strong(X)<~>old(X))))<=>(?[X]:((humble(X)<~>curious(X)))))&
(![X]:((calm(X)&~happy(X))<=>calm(X)))&
(![X]:((calm(X)|generous(X))<=>(brave(X)&~tall(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~strong(X)|old(X))=>(creative(X)&patient(X))))&
(((quiet(mary)<~>patient(mary)))... | ~tall(john) | [
"p3",
"p4",
"p7",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2630746751659467794888641
% SZS output start Proof for 2630746751659467794888641
4. ? [X0] : (~tall(X0) <~> ~strong(X0)) <=> ? [X0] : (~quiet(X0) & happy(X0)) [input p3]
5. ! [X0] : ((old(X0) | ~strong(X0)) => (patient(X0) & creative(X0))) [input p4]
8. ! [X0] : ((patient(X0) | rich(X0)) ... | 0 |
If fred is kind then fred is not brave or not generous.
If someone is strong or curious then someone is either not happy or not generous.
Everyone who is brave or humble is both not tall and not patient.
If someone is both not patient and wise then john is happy.
Everyone who is either brave or strong is happy.
Everyon... | John is not humble. | entailment | ((kind(fred))=>((~brave(fred)|~generous(fred))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:((brave(X)|humble(X))=>(~tall(X)&~patient(X))))&
((?[X]:((~patient(X)&wise(X))))=>(happy(john)))&
(![X]:((brave(X)<~>strong(X))=>happy(X)))&
(![X]:(curious(X)<=>(~wise(X)<~>~happy(X))))&
(((~c... | ~humble(john) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6946448668761828765869404
% SZS output start Proof for 6946448668761828765869404
3. ! [X0] : ((humble(X0) | brave(X0)) => (~patient(X0) & ~tall(X0))) [input p2]
11. ! [X0] : (~patient(X0) => (curious(X0) & tall(X0))) [input p10]
24. humble(john) [input hypothesis]
31. ! [X0] : ((~patient(... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is rich then lucy is tall or not brave and vice versa.
Everyone who is both not calm and wise is both not strong and curious and vice versa.
If alice is both strong and old then susan is calm.
Everyone who is both generous and ... | Paul is wise. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>((tall(lucy)|~brave(lucy))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((tall(X)<... | wise(paul) | [
"p0",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2607311392903330643717325
% SZS output start Proof for 2607311392903330643717325
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p8]
10. ! [X0] : (~quiet(X0) => (~calm(X0) | ~wise(... | 0 |
Everyone who is either not patient or not calm is both creative and generous and vice versa.
Everyone who is either funny or tall is both creative and not brave and vice versa.
If someone is not kind then someone is both not wise and not tall.
Everyone who is either generous or rich is either not tall or tall and vice ... | Lucy is happy. | neutral | (![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&generous(X))))&
(![X]:((funny(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~tall(X)<~>tall(X))))&
(((~curious(lucy)&strong(lucy)))<=>(quiet(fred)))&
(![X]:(tall(X)=>(~patient(X)&~humble(X)))... | happy(lucy) | [] | null | 0 |
If susan is both not happy and kind then someone is either not calm or wise and vice versa.
Everyone who is either happy or not humble is humble or tall and vice versa.
Everyone who is kind or calm is both patient and not quiet and vice versa.
Everyone who is not rich or happy is not kind.
Everyone who is either patien... | Lucy is old. | contradiction | (((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X))<=>(humble(X)|tall(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&~quiet(X))))&
(![X]:((~rich(X)|happy(X))=>~kind(X)))&
(![X]:((patient(X)<~>generous(X))<=>(kind(X)&happy(X))))&
(((~rich(john)<~>old(john)))<=>((humble(paul)<~>... | old(lucy) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 895379719553062168114273
% SZS output start Proof for 895379719553062168114273
3. ! [X0] : ((calm(X0) | kind(X0)) <=> (~quiet(X0) & patient(X0))) [input p2]
13. ! [X0] : ((old(X0) & ~patient(X0)) <=> strong(X0)) [input p12]
16. ? [X0] : old(X0) <=> (strong(john) & kind(john)) [input p15]
... | 0 |
If someone is either kind or not creative then lucy is old.
Everyone who is both not strong and not generous is not quiet or generous.
If lucy is not brave or not humble then someone is not tall and vice versa.
Everyone who is either not quiet or rich is old or kind.
If fred is both not old and rich then someone is bot... | Lucy is not calm. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>(old(lucy)))&
(![X]:((~strong(X)&~generous(X))=>(~quiet(X)|generous(X))))&
(((~brave(lucy)|~humble(lucy)))<=>(?[X]:(~tall(X))))&
(![X]:((~quiet(X)<~>rich(X))=>(old(X)|kind(X))))&
(((~old(fred)&rich(fred)))<=>(?[X]:((~kind(X)&wise(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((creative(X)|ri... | ~calm(lucy) | [] | null | 0 |
If someone is brave or old then fred is either not humble or generous.
Everyone who is both not brave and not wise is creative.
Everyone who is both creative and not patient is not tall and vice versa.
If someone is generous or not calm then susan is not strong.
If susan is both not generous and not calm then someone i... | Susan is calm. | contradiction | ((?[X]:((brave(X)|old(X))))=>((~humble(fred)<~>generous(fred))))&
(![X]:((~brave(X)&~wise(X))=>creative(X)))&
(![X]:((creative(X)&~patient(X))<=>~tall(X)))&
((?[X]:((generous(X)|~calm(X))))=>(~strong(susan)))&
(((~generous(susan)&~calm(susan)))<=>(?[X]:((humble(X)|~happy(X)))))&
(![X]:((tall(X)<~>happy(X))<=>happy(X)))... | calm(susan) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8585484970702339689819217
% SZS output start Proof for 8585484970702339689819217
5. (~calm(susan) & ~generous(susan)) <=> ? [X0] : (~happy(X0) | humble(X0)) [input p4]
22. humble(paul) [input p21]
25. calm(susan) [input hypothesis]
39. ((~calm(susan) & ~generous(susan)) | ! [X0] : (happy(... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is both not tall and funny is not tall or happy.
Everyone who is generous or not patient is both not brave and old.
Everyone who is either not funny or not brave is not brave or wise and vice versa.
Everyone who is funny is... | Fred is not curious. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((~tall(X)&funny(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(... | ~curious(fred) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4585649573753370296525112
% SZS output start Proof for 4585649573753370296525112
7. ! [X0] : ((strong(X0) <~> rich(X0)) <=> (~curious(X0) & ~rich(X0))) [input p6]
14. ! [X0] : ((happy(X0) & curious(X0)) <=> (~brave(X0) | strong(X0))) [input p13]
24. ~curious(fred) [input hypothesis]
41. !... | 0 |
Everyone who is both rich and patient is not kind and vice versa.
If someone is not calm or humble then someone is either rich or funny.
Everyone who is curious or not rich is either not kind or not humble.
Everyone who is generous is both kind and creative and vice versa.
If someone is not happy then someone is not ge... | Susan is not creative. | contradiction | (![X]:((rich(X)&patient(X))<=>~kind(X)))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((curious(X)|~rich(X))=>(~kind(X)<~>~humble(X))))&
(![X]:(generous(X)<=>(kind(X)&creative(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~generous(X)|strong(X)))))&
(((happy(alice)&~brave(alice)))<=>((~quiet(paul)<~>~ge... | ~creative(susan) | [
"p0",
"p3",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7110945897182725549809734
% SZS output start Proof for 7110945897182725549809734
1. ! [X0] : ((patient(X0) & rich(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : (generous(X0) <=> (creative(X0) & kind(X0))) [input p3]
14. (wise(susan) <~> ~patient(susan)) <=> (kind(susan) <~> ~wise(susan)) [in... | 0 |
Everyone who is not happy or not kind is both not brave and not generous and vice versa. Everyone who is both humble and patient is not old or tall. Everyone who is either not quiet or generous is brave. If someone is both not quiet and not curious then susan is curious or not tall and vice versa. If someone is either ... | Fred is not calm. | contradiction | (![X]:((~happy(X)|~kind(X))<=>(~brave(X)&~generous(X))))&
(![X]:((humble(X)&patient(X))=>(~old(X)|tall(X))))&
(![X]:((~quiet(X)<~>generous(X))=>brave(X)))&
((?[X]:((~quiet(X)&~curious(X))))<=>((curious(susan)|~tall(susan))))&
((?[X]:((calm(X)<~>patient(X))))<=>((happy(paul)|quiet(paul))))&
(![X]:(~brave(X)<=>(~generous... | ~calm(fred) | [
"p0",
"p5",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3787007728740448687448442
% SZS output start Proof for 3787007728740448687448442
1. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> (~generous(X0) & ~brave(X0))) [input p0]
6. ! [X0] : (~brave(X0) <=> (~generous(X0) <~> happy(X0))) [input p5]
10. ! [X0] : ((~brave(X0) & ~strong(X0)) <=> (generous(... | 0 |
Everyone who is not patient or quiet is patient and vice versa. Everyone who is strong or not old is not funny and vice versa. Everyone who is not calm or happy is curious or generous and vice versa. If alice is generous or not quiet then someone is not happy and vice versa. Everyone who is both humble and not strong i... | Alice is not calm. | entailment | (![X]:((~patient(X)|quiet(X))<=>patient(X)))&
(![X]:((strong(X)|~old(X))<=>~funny(X)))&
(![X]:((~calm(X)|happy(X))<=>(curious(X)|generous(X))))&
(((generous(alice)|~quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((humble(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((~strong(X)<~>c... | ~calm(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3139706467440620311173097
% SZS output start Proof for 3139706467440620311173097
1. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p0]
2. ! [X0] : ((~old(X0) | strong(X0)) <=> ~funny(X0)) [input p1]
3. ! [X0] : ((happy(X0) | ~calm(X0)) <=> (generous(X0) | curious(X0))) [inpu... | 0 |
Everyone who is both kind and old is both old and not kind and vice versa.
Everyone who is both quiet and patient is either not generous or happy.
Everyone who is either not patient or not curious is both curious and not generous.
Everyone who is not happy or happy is funny and vice versa.
If someone is both not creati... | Alice is curious. | neutral | (![X]:((kind(X)&old(X))<=>(old(X)&~kind(X))))&
(![X]:((quiet(X)&patient(X))=>(~generous(X)<~>happy(X))))&
(![X]:((~patient(X)<~>~curious(X))=>(curious(X)&~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>funny(X)))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(((~kind(paul)&~strong(paul)))<=>... | curious(alice) | [] | null | 0 |
Everyone who is wise is brave or rich and vice versa.
If someone is either not strong or not quiet then someone is curious or not patient and vice versa.
If someone is either kind or not funny then fred is not brave.
If someone is either not kind or old then someone is curious or calm.
If mary is not rich then someone ... | Paul is funny. | entailment | (![X]:(wise(X)<=>(brave(X)|rich(X))))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>(?[X]:((curious(X)|~patient(X)))))&
((?[X]:((kind(X)<~>~funny(X))))=>(~brave(fred)))&
((?[X]:((~kind(X)<~>old(X))))=>(?[X]:((curious(X)|calm(X)))))&
((~rich(mary))<=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:(tall(X)=>(generous(X)&~calm(X))))&
(![... | funny(paul) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 792229904489598313524189
% SZS output start Proof for 792229904489598313524189
9. ! [X0] : (~humble(X0) <=> ~funny(X0)) [input p8]
13. (strong(paul) & humble(paul)) <=> ? [X0] : (~patient(X0) <~> patient(X0)) [input p12]
25. ~funny(paul) [input hypothesis]
60. ! [X0] : ((~humble(X0) | fun... | 0 |
Everyone who is creative or brave is either not tall or old and vice versa.
If someone is not strong or old then alice is either generous or happy.
If someone is calm or not funny then mary is not calm.
If lucy is either not happy or not wise then someone is not strong or not quiet.
Everyone who is both curious and gen... | Mary is funny. | entailment | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((~strong(X)|old(X))))=>((generous(alice)<~>happy(alice))))&
((?[X]:((calm(X)|~funny(X))))=>(~calm(mary)))&
(((~happy(lucy)<~>~wise(lucy)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>stron... | funny(mary) | [
"p0",
"p2",
"p4",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7806325808407125888978909
% SZS output start Proof for 7806325808407125888978909
1. ! [X0] : ((brave(X0) | creative(X0)) <=> (~tall(X0) <~> old(X0))) [input p0]
3. ? [X0] : (~funny(X0) | calm(X0)) => ~calm(mary) [input p2]
5. ! [X0] : ((generous(X0) & curious(X0)) <=> (~strong(X0) | funny... | 0 |
If someone is not humble or not funny then susan is both not generous and not funny and vice versa.
Everyone who is humble is either wise or humble and vice versa.
If someone is wise or not calm then fred is either not tall or not brave.
Everyone who is not curious or funny is not tall or not quiet.
Everyone who is eit... | Paul is not patient. | entailment | ((?[X]:((~humble(X)|~funny(X))))<=>((~generous(susan)&~funny(susan))))&
(![X]:(humble(X)<=>(wise(X)<~>humble(X))))&
((?[X]:((wise(X)|~calm(X))))=>((~tall(fred)<~>~brave(fred))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)|~quiet(X))))&
(![X]:((kind(X)<~>patient(X))<=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>... | ~patient(paul) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4103118783597731055806951
% SZS output start Proof for 4103118783597731055806951
5. ! [X0] : ((kind(X0) <~> patient(X0)) <=> (kind(X0) & ~rich(X0))) [input p4]
11. ! [X0] : (~patient(X0) <=> (kind(X0) | ~calm(X0))) [input p10]
23. patient(paul) [input hypothesis]
41. ! [X0] : ((((~patient... | 0 |
Everyone who is happy is not tall.
If someone is tall then susan is both not quiet and curious.
If someone is kind then susan is generous and vice versa.
Everyone who is generous is not funny or not rich and vice versa.
Everyone who is both not kind and not calm is both not old and not rich and vice versa.
Everyone who... | Susan is quiet. | contradiction | (![X]:(happy(X)=>~tall(X)))&
((?[X]:(tall(X)))=>((~quiet(susan)&curious(susan))))&
((?[X]:(kind(X)))<=>(generous(susan)))&
(![X]:(generous(X)<=>(~funny(X)|~rich(X))))&
(![X]:((~kind(X)&~calm(X))<=>(~old(X)&~rich(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(happy(X)|brave(X))))&
(![X]:(kind(X)=>~old(X)))&
(((quiet(fred)&~stro... | quiet(susan) | [
"p1",
"p3",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8831187764667449570758952
% SZS output start Proof for 8831187764667449570758952
2. ? [X0] : tall(X0) => (curious(susan) & ~quiet(susan)) [input p1]
4. ! [X0] : (generous(X0) <=> (~rich(X0) | ~funny(X0))) [input p3]
9. ! [X0] : (~humble(X0) <=> (~funny(X0) & ~calm(X0))) [input p8]
13. ! [... | 0 |
If fred is not happy or calm then someone is either brave or not strong and vice versa. Everyone who is not kind or humble is either rich or not generous. Everyone who is rich is either generous or not calm. If john is both funny and not kind then someone is not happy or humble. If lucy is not creative or not curious t... | Fred is not calm. | entailment | (((~happy(fred)|calm(fred)))<=>(?[X]:((brave(X)<~>~strong(X)))))&
(![X]:((~kind(X)|humble(X))=>(rich(X)<~>~generous(X))))&
(![X]:(rich(X)=>(generous(X)<~>~calm(X))))&
(((funny(john)&~kind(john)))=>(?[X]:((~happy(X)|humble(X)))))&
(((~creative(lucy)|~curious(lucy)))=>(?[X]:((wise(X)&happy(X)))))&
((wise(fred))=>(?[X]:((... | ~calm(fred) | [
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4553955136947681902734034
% SZS output start Proof for 4553955136947681902734034
8. ! [X0] : ((kind(X0) <~> tall(X0)) <=> (tall(X0) | patient(X0))) [input p7]
12. ! [X0] : ((wise(X0) & tall(X0)) <=> (~calm(X0) | patient(X0))) [input p11]
15. ! [X0] : (~kind(X0) <=> (quiet(X0) & ~calm(X0))... | 0 |
Everyone who is either not rich or curious is both not brave and not wise. Everyone who is not rich is both calm and not humble. If someone is either not strong or funny then someone is either not patient or tall and vice versa. Everyone who is old or not strong is wise or not calm. Everyone who is either not strong or... | Mary is not tall. | entailment | (![X]:((~rich(X)<~>curious(X))=>(~brave(X)&~wise(X))))&
(![X]:(~rich(X)=>(calm(X)&~humble(X))))&
((?[X]:((~strong(X)<~>funny(X))))<=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(joh... | ~tall(mary) | [
"p5",
"p9",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7912883981948102652579314
% SZS output start Proof for 7912883981948102652579314
6. ! [X0] : (humble(X0) <=> wise(X0)) [input p5]
10. ! [X0] : ((~strong(X0) | tall(X0)) => (~strong(X0) | ~kind(X0))) [input p9]
11. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~brave(X0) | ~creative(X0))) [inp... | 0 |
Everyone who is not strong is tall or happy and vice versa.
Everyone who is strong or funny is quiet and vice versa.
If someone is both not generous and tall then someone is either not rich or curious.
If mary is either not brave or not humble then someone is either generous or funny.
If someone is not calm then paul i... | Mary is not brave. | entailment | (![X]:(~strong(X)<=>(tall(X)|happy(X))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:((~generous(X)&tall(X))))=>(?[X]:((~rich(X)<~>curious(X)))))&
(((~brave(mary)<~>~humble(mary)))=>(?[X]:((generous(X)<~>funny(X)))))&
((?[X]:(~calm(X)))<=>((rich(paul)&~tall(paul))))&
((?[X]:(wise(X)))<=>((happy(susan)|~old(susan)... | ~brave(mary) | [
"p1",
"p7",
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1808364368638137693912514
% SZS output start Proof for 1808364368638137693912514
2. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p1]
8. ! [X0] : (quiet(X0) <=> (~brave(X0) & ~happy(X0))) [input p7]
9. ! [X0] : (brave(X0) => (humble(X0) & ~generous(X0))) [input p8]
11. ! [X0] :... | 0 |
Everyone who is not old or not quiet is not kind and vice versa. If someone is not humble then someone is both calm and not quiet and vice versa. If someone is either not humble or not funny then someone is both patient and generous. Everyone who is brave or patient is rich and vice versa. If paul is strong then paul i... | Paul is not patient. | neutral | (![X]:((~old(X)|~quiet(X))<=>~kind(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((~humble(X)<~>~funny(X))))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((brave(X)|patient(X))<=>rich(X)))&
((strong(paul))<=>((~strong(paul)|tall(paul))))&
(![X]:((wise(X)<~>quiet(X))<=>(~generous(X)&wise(X))))&
(![X]:... | ~patient(paul) | [] | null | 0 |
If someone is not tall then someone is wise and vice versa.
If john is both old and not brave then someone is calm or funny.
If lucy is both old and not generous then susan is both not creative and humble and vice versa.
Everyone who is both not wise and not calm is both not happy and generous.
If alice is humble then ... | John is not happy. | neutral | ((?[X]:(~tall(X)))<=>(?[X]:(wise(X))))&
(((old(john)&~brave(john)))=>(?[X]:((calm(X)|funny(X)))))&
(((old(lucy)&~generous(lucy)))<=>((~creative(susan)&humble(susan))))&
(![X]:((~wise(X)&~calm(X))=>(~happy(X)&generous(X))))&
((humble(alice))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((~wise(X)&strong(X))=>tall(X)))&... | ~happy(john) | [] | null | 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 not quiet. | 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]:((... | ~quiet(lucy) | [] | null | 0 |
If paul is both quiet and not old then someone is not patient or not brave and vice versa.
Everyone who is creative is patient.
If john is both quiet and not humble then john is both rich and not calm and vice versa.
If mary is both not patient and tall then mary is either not calm or not quiet and vice versa.
Everyone... | Fred is not old. | entailment | (((quiet(paul)&~old(paul)))<=>(?[X]:((~patient(X)|~brave(X)))))&
(![X]:(creative(X)=>patient(X)))&
(((quiet(john)&~humble(john)))<=>((rich(john)&~calm(john))))&
(((~patient(mary)&tall(mary)))<=>((~calm(mary)<~>~quiet(mary))))&
(![X]:(~quiet(X)=>patient(X)))&
(![X]:((~rich(X)|funny(X))=>~old(X)))&
(![X]:((brave(X)<~>~ol... | ~old(fred) | [
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3757841349990268272467991
% SZS output start Proof for 3757841349990268272467991
5. ! [X0] : (~quiet(X0) => patient(X0)) [input p4]
6. ! [X0] : ((funny(X0) | ~rich(X0)) => ~old(X0)) [input p5]
7. ! [X0] : ((brave(X0) <~> ~old(X0)) => (~quiet(X0) <~> funny(X0))) [input p6]
8. ! [X0] : ((~b... | 0 |
If someone is humble or old then someone is both creative and not quiet. Everyone who is both not strong and old is not tall and vice versa. If john is not strong or wise then fred is not generous or creative. Everyone who is both not calm and not rich is either not curious or not generous. If lucy is both rich and not... | Lucy is not humble. | contradiction | ((?[X]:((humble(X)|old(X))))=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:((~strong(X)&old(X))<=>~tall(X)))&
(((~strong(john)|wise(john)))=>((~generous(fred)|creative(fred))))&
(![X]:((~calm(X)&~rich(X))=>(~curious(X)<~>~generous(X))))&
(((rich(lucy)&~curious(lucy)))=>(?[X]:((~calm(X)|old(X)))))&
(![X]:(~happy(X)<=>~old(X... | ~humble(lucy) | [
"p1",
"p5",
"p8",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8886987192686120958933176
% SZS output start Proof for 8886987192686120958933176
2. ! [X0] : ((old(X0) & ~strong(X0)) <=> ~tall(X0)) [input p1]
6. ! [X0] : (~happy(X0) <=> ~old(X0)) [input p5]
9. (brave(lucy) | happy(lucy)) => (curious(lucy) <~> kind(lucy)) [input p8]
11. ! [X0] : ((~gene... | 0 |
If alice is both humble and not humble then someone is both strong and humble and vice versa.
Everyone who is old or brave is both wise and not curious and vice versa.
If alice is both kind and generous then someone is either generous or not curious and vice versa.
If someone is wise or not creative then fred is either... | Lucy is not happy. | entailment | (((humble(alice)&~humble(alice)))<=>(?[X]:((strong(X)&humble(X)))))&
(![X]:((old(X)|brave(X))<=>(wise(X)&~curious(X))))&
(((kind(alice)&generous(alice)))<=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall... | ~happy(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 637348790967513120638647
% SZS output start Proof for 637348790967513120638647
5. ! [X0] : (brave(X0) <=> (~old(X0) & ~happy(X0))) [input p4]
12. ! [X0] : ((~brave(X0) | ~humble(X0)) => (brave(X0) | ~happy(X0))) [input p11]
23. happy(lucy) [input hypothesis]
31. ! [X0] : ((brave(X0) | ~ha... | 0 |
If someone is both calm and not strong then someone is either old or not strong.
Everyone who is either wise or not humble is both not calm and generous and vice versa.
Everyone who is old is not funny or creative and vice versa.
Everyone who is kind is not old and vice versa.
Everyone who is strong or rich is either s... | John is kind. | contradiction | ((?[X]:((calm(X)&~strong(X))))=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:((wise(X)<~>~humble(X))<=>(~calm(X)&generous(X))))&
(![X]:(old(X)<=>(~funny(X)|creative(X))))&
(![X]:(kind(X)<=>~old(X)))&
(![X]:((strong(X)|rich(X))<=>(strong(X)<~>~rich(X))))&
(![X]:(strong(X)=>(creative(X)&~generous(X))))&
(![X]:((tall(X)&creativ... | kind(john) | [
"p2",
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2823345725278929782821268
% SZS output start Proof for 2823345725278929782821268
3. ! [X0] : (old(X0) <=> (creative(X0) | ~funny(X0))) [input p2]
4. ! [X0] : (kind(X0) <=> ~old(X0)) [input p3]
5. ! [X0] : ((rich(X0) | strong(X0)) <=> (strong(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : (str... | 0 |
Everyone who is both not curious and calm is not happy or generous.
Everyone who is not strong or not tall is either humble or not funny and vice versa.
Everyone who is not kind is either creative or not creative.
Everyone who is either not creative or creative is either wise or not old and vice versa.
Everyone who is ... | Paul is not rich. | entailment | (![X]:((~curious(X)&calm(X))=>(~happy(X)|generous(X))))&
(![X]:((~strong(X)|~tall(X))<=>(humble(X)<~>~funny(X))))&
(![X]:(~kind(X)=>(creative(X)<~>~creative(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(wise(X)<~>~old(X))))&
(![X]:((quiet(X)&~patient(X))<=>rich(X)))&
(![X]:((~calm(X)<~>~humble(X))<=>(rich(X)|curious(X)... | ~rich(paul) | [
"p1",
"p4",
"p5",
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6078263070722476136986467
% SZS output start Proof for 6078263070722476136986467
2. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (humble(X0) <~> ~funny(X0))) [input p1]
5. ! [X0] : ((~patient(X0) & quiet(X0)) <=> rich(X0)) [input p4]
6. ! [X0] : ((~calm(X0) <~> ~humble(X0)) <=> (curious(X0) | ... | 0 |
If someone is either humble or not generous then paul is old and vice versa. Everyone who is quiet or creative is not quiet and vice versa. If someone is both not brave and calm then someone is both not old and patient and vice versa. If susan is not rich then alice is generous and vice versa. If someone is strong then... | Paul is quiet. | contradiction | ((?[X]:((humble(X)<~>~generous(X))))<=>(old(paul)))&
(![X]:((quiet(X)|creative(X))<=>~quiet(X)))&
((?[X]:((~brave(X)&calm(X))))<=>(?[X]:((~old(X)&patient(X)))))&
((~rich(susan))<=>(generous(alice)))&
((?[X]:(strong(X)))=>(?[X]:((old(X)&~strong(X)))))&
(((~tall(alice)&~happy(alice)))<=>(?[X]:((~humble(X)&~strong(X)))))&... | quiet(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8743195323890859164654847
% SZS output start Proof for 8743195323890859164654847
2. ! [X0] : ((creative(X0) | quiet(X0)) <=> ~quiet(X0)) [input p1]
23. quiet(paul) [input hypothesis]
42. ! [X0] : (((creative(X0) | quiet(X0)) | quiet(X0)) & (~quiet(X0) | (~creative(X0) & ~quiet(X0)))) [nnf... | 0 |
If john is either not brave or not wise then paul is either not humble or calm. If john is calm or kind then lucy is not brave or wise and vice versa. If someone is both tall and not generous then someone is wise or not kind. Everyone who is not curious or not tall is happy or not brave and vice versa. Everyone who is ... | Fred is creative. | neutral | (((~brave(john)<~>~wise(john)))=>((~humble(paul)<~>calm(paul))))&
(((calm(john)|kind(john)))<=>((~brave(lucy)|wise(lucy))))&
((?[X]:((tall(X)&~generous(X))))=>(?[X]:((wise(X)|~kind(X)))))&
(![X]:((~curious(X)|~tall(X))<=>(happy(X)|~brave(X))))&
(![X]:(~quiet(X)=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>... | creative(fred) | [] | null | 0 |
Everyone who is both tall and not tall is either not tall or not patient.
If someone is not brave then someone is either not creative or tall.
Everyone who is not wise or not quiet is not humble and vice versa.
Everyone who is both rich and curious is either not creative or not curious.
Everyone who is both generous an... | Susan is creative. | neutral | (![X]:((tall(X)&~tall(X))=>(~tall(X)<~>~patient(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:((~wise(X)|~quiet(X))<=>~humble(X)))&
(![X]:((rich(X)&curious(X))=>(~creative(X)<~>~curious(X))))&
(![X]:((generous(X)&kind(X))=>~kind(X)))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((~funny(X)|~calm(X))... | creative(susan) | [] | null | 0 |
If someone is not calm then someone is both strong and creative and vice versa.
Everyone who is not funny is not kind or not creative.
If someone is calm then susan is not wise and vice versa.
If someone is calm then lucy is both curious and not wise.
If someone is both not tall and not quiet then someone is not patien... | Paul is not tall. | contradiction | ((?[X]:(~calm(X)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:(~funny(X)=>(~kind(X)|~creative(X))))&
((?[X]:(calm(X)))<=>(~wise(susan)))&
((?[X]:(calm(X)))=>((curious(lucy)&~wise(lucy))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((brave(X)|strong(X))=>(brave(X)|~strong(X))))&
(![X]:((~creative(X)&... | ~tall(paul) | [
"p0",
"p4",
"p6",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1984390666715171582783690
% SZS output start Proof for 1984390666715171582783690
1. ? [X0] : ~calm(X0) <=> ? [X0] : (creative(X0) & strong(X0)) [input p0]
5. ? [X0] : (~quiet(X0) & ~tall(X0)) <=> ? [X0] : ~patient(X0) [input p4]
7. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (curious(X0) ... | 0 |
Everyone who is either not strong or not kind is both strong and not calm and vice versa.
If alice is both kind and patient then fred is not happy or not creative and vice versa.
If paul is either not calm or happy then mary is tall.
Everyone who is old or creative is both happy and old.
If john is not kind then someon... | Lucy is brave. | contradiction | (![X]:((~strong(X)<~>~kind(X))<=>(strong(X)&~calm(X))))&
(((kind(alice)&patient(alice)))<=>((~happy(fred)|~creative(fred))))&
(((~calm(paul)<~>happy(paul)))=>(tall(mary)))&
(![X]:((old(X)|creative(X))=>(happy(X)&old(X))))&
((~kind(john))=>(?[X]:(kind(X))))&
(![X]:((~creative(X)|~calm(X))<=>(~generous(X)&~strong(X))))&
... | brave(lucy) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8370879002748995053622066
% SZS output start Proof for 8370879002748995053622066
8. ! [X0] : ((wise(X0) | ~old(X0)) => (generous(X0) & ~wise(X0))) [input p7]
12. ! [X0] : ((~wise(X0) | wise(X0)) => (old(X0) & ~brave(X0))) [input p11]
18. brave(lucy) [input hypothesis]
26. ! [X0] : ((gener... | 0 |
If susan is not calm then someone is either generous or not calm.
Everyone who is either wise or not old is either not wise or strong and vice versa.
If paul is humble then mary is not wise or not old.
Everyone who is not brave is curious or wise.
Everyone who is not brave or kind is quiet and vice versa.
If fred is fu... | Fred is quiet. | neutral | ((~calm(susan))=>(?[X]:((generous(X)<~>~calm(X)))))&
(![X]:((wise(X)<~>~old(X))<=>(~wise(X)<~>strong(X))))&
((humble(paul))=>((~wise(mary)|~old(mary))))&
(![X]:(~brave(X)=>(curious(X)|wise(X))))&
(![X]:((~brave(X)|kind(X))<=>quiet(X)))&
(((funny(fred)|~humble(fred)))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~calm(X)|ha... | quiet(fred) | [] | null | 0 |
If someone is humble then someone is strong. If fred is both rich and not old then someone is both not old and not wise and vice versa. Everyone who is both not curious and not wise is not happy. Everyone who is either not curious or wise is not old or patient. If someone is not quiet or generous then alice is either w... | Mary is not quiet. | contradiction | ((?[X]:(humble(X)))=>(?[X]:(strong(X))))&
(((rich(fred)&~old(fred)))<=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(![X]:((~curious(X)<~>wise(X))=>(~old(X)|patient(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>((wise(alice)<~>~calm(alice))))&
(![X]:((~quiet(X)|strong(X))<=>(calm(X)&~calm(X)))... | ~quiet(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3837768125895593064355747
% SZS output start Proof for 3837768125895593064355747
6. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (~calm(X0) & calm(X0))) [input p5]
25. ~quiet(mary) [input hypothesis]
56. ! [X0] : (((strong(X0) | ~quiet(X0)) | (calm(X0) | ~calm(X0))) & ((~calm(X0) & calm(X0)) |... | 0 |
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy ... | John is kind. | entailment | (![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | kind(john) | [
"p1",
"p2",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 372098926642475273065503
% SZS output start Proof for 372098926642475273065503
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((kind(X0) & brave(X0)) <=> old(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | old(X0)) => ~tall(X0)) [input p6]
15. ? [X0] :... | 0 |
Everyone who is not calm is not funny and vice versa. If alice is not brave then someone is not patient or not funny and vice versa. Everyone who is either old or humble is patient or wise. Everyone who is funny or not tall is either rich or wise and vice versa. Everyone who is either not old or tall is either not gene... | Mary is wise. | neutral | (![X]:(~calm(X)<=>~funny(X)))&
((~brave(alice))<=>(?[X]:((~patient(X)|~funny(X)))))&
(![X]:((old(X)<~>humble(X))=>(patient(X)|wise(X))))&
(![X]:((funny(X)|~tall(X))<=>(rich(X)<~>wise(X))))&
(![X]:((~old(X)<~>tall(X))<=>(~generous(X)<~>calm(X))))&
(((~calm(alice)|~curious(alice)))=>(?[X]:((creative(X)<~>~generous(X)))))... | wise(mary) | [] | null | 0 |
If lucy is funny then someone is quiet or not kind.
If lucy is both not rich and quiet then someone is not humble and vice versa.
If fred is not quiet then susan is both tall and creative.
If someone is kind then someone is not generous.
If someone is either not funny or not wise then susan is not creative or funny.
Ev... | Alice is not kind. | contradiction | ((funny(lucy))=>(?[X]:((quiet(X)|~kind(X)))))&
(((~rich(lucy)&quiet(lucy)))<=>(?[X]:(~humble(X))))&
((~quiet(fred))=>((tall(susan)&creative(susan))))&
((?[X]:(kind(X)))=>(?[X]:(~generous(X))))&
((?[X]:((~funny(X)<~>~wise(X))))=>((~creative(susan)|funny(susan))))&
(![X]:((patient(X)<~>wise(X))<=>(kind(X)|funny(X))))&
(!... | ~kind(alice) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2572029641817861477410278
% SZS output start Proof for 2572029641817861477410278
7. ! [X0] : ((~kind(X0) & creative(X0)) => strong(X0)) [input p6]
22. creative(alice) & ~strong(alice) [input p21]
24. ~kind(alice) [input hypothesis]
35. ! [X0] : (strong(X0) | (kind(X0) | ~creative(X0))) [e... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or humble is old.
Everyone who is quiet is both not old and not strong and vice versa.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is... | John is not brave. | contradiction | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>old(X)))&
(![X]:(quiet(X)<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet... | ~brave(john) | [
"p6",
"p7",
"p8",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3177521596999595624232036
% SZS output start Proof for 3177521596999595624232036
7. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(X0) & funny(X0))) [input p6]
8. ! [X0] : (~patient(X0) <=> (funny(X0) & ~old(X0))) [input p7]
9. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (kind(X0) & ~humble(X0)... | 0 |
If john is calm or generous then someone is not tall.
If susan is both brave and not brave then paul is either not curious or not humble.
If someone is curious then susan is funny or not brave and vice versa.
Everyone who is strong or not calm is not creative or calm and vice versa.
If mary is calm or generous then som... | Susan is rich. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~tall(X))))&
(((brave(susan)&~brave(susan)))=>((~curious(paul)<~>~humble(paul))))&
((?[X]:(curious(X)))<=>((funny(susan)|~brave(susan))))&
(![X]:((strong(X)|~calm(X))<=>(~creative(X)|calm(X))))&
(((calm(mary)|generous(mary)))<=>(?[X]:((rich(X)<~>~rich(X)))))&
(![X]:((kind(X)|funny... | rich(susan) | [
"p2",
"p9",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 366796676150400715947562
% SZS output start Proof for 366796676150400715947562
3. ? [X0] : curious(X0) <=> (~brave(susan) | funny(susan)) [input p2]
10. ! [X0] : ((~curious(X0) <~> happy(X0)) => (old(X0) & happy(X0))) [input p9]
12. ! [X0] : ((rich(X0) & ~quiet(X0)) <=> ~funny(X0)) [input... | 0 |
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