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 happy or generous is either brave or calm. If someone is not wise or not quiet then someone is both not funny and kind and vice versa. If someone is both happy and calm then someone is both not generous and old. If john is not curious or patient then someone is both generous and wise and vice versa. Eve... | Susan is humble. | neutral | (![X]:((happy(X)|generous(X))=>(brave(X)<~>calm(X))))&
((?[X]:((~wise(X)|~quiet(X))))<=>(?[X]:((~funny(X)&kind(X)))))&
((?[X]:((happy(X)&calm(X))))=>(?[X]:((~generous(X)&old(X)))))&
(((~curious(john)|patient(john)))<=>(?[X]:((generous(X)&wise(X)))))&
(![X]:((~wise(X)|~quiet(X))=>creative(X)))&
(![X]:((~funny(X)|~tall(X... | humble(susan) | [] | null | 0 |
If paul is patient then someone is not curious or patient and vice versa. If susan is funny then lucy is either calm or kind and vice versa. If someone is wise or tall then someone is not strong. Everyone who is not patient is creative or not creative and vice versa. If lucy is old then fred is not old or creative and ... | Susan is not tall. | entailment | ((patient(paul))<=>(?[X]:((~curious(X)|patient(X)))))&
((funny(susan))<=>((calm(lucy)<~>kind(lucy))))&
((?[X]:((wise(X)|tall(X))))=>(?[X]:(~strong(X))))&
(![X]:(~patient(X)<=>(creative(X)|~creative(X))))&
((old(lucy))<=>((~old(fred)|creative(fred))))&
((?[X]:(funny(X)))=>(?[X]:(kind(X))))&
(((~wise(susan)<~>~brave(susa... | ~tall(susan) | [
"p3",
"p7",
"p8",
"p9",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9109839161348284760194659
% SZS output start Proof for 9109839161348284760194659
4. ! [X0] : (~patient(X0) <=> (~creative(X0) | creative(X0))) [input p3]
8. ! [X0] : ((~generous(X0) | happy(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) => (~generou... | 0 |
Everyone who is humble or not brave is brave. Everyone who is not patient or not funny is both not creative and funny. Everyone who is curious is both curious and old. If fred is both funny and creative then alice is not rich. If someone is curious then someone is not creative. Everyone who is not strong is either not ... | Susan is not brave. | contradiction | (![X]:((humble(X)|~brave(X))=>brave(X)))&
(![X]:((~patient(X)|~funny(X))=>(~creative(X)&funny(X))))&
(![X]:(curious(X)=>(curious(X)&old(X))))&
(((funny(fred)&creative(fred)))=>(~rich(alice)))&
((?[X]:(curious(X)))=>(?[X]:(~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)<~>calm(X))))&
(((~strong(fred)|~quiet(fred)))<=>((~... | ~brave(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 358073008861818026964686
% SZS output start Proof for 358073008861818026964686
1. ! [X0] : ((~brave(X0) | humble(X0)) => brave(X0)) [input p0]
22. ~brave(susan) [input hypothesis]
27. ! [X0] : (brave(X0) | (brave(X0) & ~humble(X0))) [ennf transformation 1]
73. brave(X0) | brave(X0) [cnf t... | 0 |
Everyone who is either quiet or old is either quiet or calm and vice versa.
Everyone who is calm is either not generous or rich and vice versa.
If john is not humble then someone is rich and vice versa.
Everyone who is both not curious and not wise is either not humble or not calm.
Everyone who is strong is quiet and v... | Lucy is not old. | neutral | (![X]:((quiet(X)<~>old(X))<=>(quiet(X)<~>calm(X))))&
(![X]:(calm(X)<=>(~generous(X)<~>rich(X))))&
((~humble(john))<=>(?[X]:(rich(X))))&
(![X]:((~curious(X)&~wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(strong(X)<=>quiet(X)))&
((?[X]:((brave(X)|curious(X))))<=>((calm(alice)<~>~creative(alice))))&
((?[X]:((tall(X)&~brave(... | ~old(lucy) | [] | null | 0 |
If someone is either not quiet or patient then alice is both kind and brave and vice versa.
Everyone who is either not brave or not calm is either not brave or curious.
If fred is happy or rich then someone is both not old and brave.
If someone is tall or creative then someone is humble or not funny and vice versa.
Eve... | Fred is generous. | entailment | ((?[X]:((~quiet(X)<~>patient(X))))<=>((kind(alice)&brave(alice))))&
(![X]:((~brave(X)<~>~calm(X))=>(~brave(X)<~>curious(X))))&
(((happy(fred)|rich(fred)))=>(?[X]:((~old(X)&brave(X)))))&
((?[X]:((tall(X)|creative(X))))<=>(?[X]:((humble(X)|~funny(X)))))&
(![X]:((~brave(X)<~>~curious(X))<=>(quiet(X)<~>~generous(X))))&
(((... | generous(fred) | [
"p1",
"p4",
"p8",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7081087165090513691729454
% SZS output start Proof for 7081087165090513691729454
2. ! [X0] : ((~brave(X0) <~> ~calm(X0)) => (~brave(X0) <~> curious(X0))) [input p1]
5. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> (quiet(X0) <~> ~generous(X0))) [input p4]
9. (~calm(fred) | happy(fred)) <=> ... | 0 |
Everyone who is either not quiet or old is not rich and vice versa. Everyone who is not calm is not tall or creative and vice versa. If john is both not brave and generous then someone is tall. Everyone who is rich is either not kind or wise and vice versa. Everyone who is both not humble and not wise is either not qui... | Alice is curious. | entailment | (![X]:((~quiet(X)<~>old(X))<=>~rich(X)))&
(![X]:(~calm(X)<=>(~tall(X)|creative(X))))&
(((~brave(john)&generous(john)))=>(?[X]:(tall(X))))&
(![X]:(rich(X)<=>(~kind(X)<~>wise(X))))&
(![X]:((~humble(X)&~wise(X))=>(~quiet(X)<~>calm(X))))&
(((humble(john)<~>brave(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~wise(X)<~>curious(X))<... | curious(alice) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1747880144738161287618903
% SZS output start Proof for 1747880144738161287618903
10. ! [X0] : (~funny(X0) => (~funny(X0) & curious(X0))) [input p9]
16. ! [X0] : ((~funny(X0) | strong(X0)) <=> (strong(X0) <~> ~curious(X0))) [input p15]
23. ~curious(alice) [input hypothesis]
30. ! [X0] : ((... | 0 |
If paul is both strong and quiet then someone is either tall or not curious.
Everyone who is both generous and curious is both curious and happy and vice versa.
If fred is either curious or happy then someone is either quiet or not curious and vice versa.
If someone is either quiet or creative then someone is either ki... | John is wise. | contradiction | (((strong(paul)&quiet(paul)))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:((generous(X)&curious(X))<=>(curious(X)&happy(X))))&
(((curious(fred)<~>happy(fred)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((~rich(X)|rich(X))=>(funny(X)<~>~wise(X))))&
((... | wise(john) | [
"p1",
"p4",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6638521846221319008769470
% SZS output start Proof for 6638521846221319008769470
2. ! [X0] : ((curious(X0) & generous(X0)) <=> (happy(X0) & curious(X0))) [input p1]
5. ! [X0] : ((rich(X0) | ~rich(X0)) => (funny(X0) <~> ~wise(X0))) [input p4]
11. ! [X0] : (funny(X0) <=> ~happy(X0)) [input ... | 0 |
Everyone who is curious is both not strong and not generous and vice versa. Everyone who is generous or patient is not tall. If mary is wise or not humble then fred is not curious or not calm. Everyone who is either not brave or not funny is not wise or not tall and vice versa. Everyone who is not tall or humble is str... | Fred is not funny. | neutral | (![X]:(curious(X)<=>(~strong(X)&~generous(X))))&
(![X]:((generous(X)|patient(X))=>~tall(X)))&
(((wise(mary)|~humble(mary)))=>((~curious(fred)|~calm(fred))))&
(![X]:((~brave(X)<~>~funny(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~tall(X)|humble(X))=>(strong(X)|~patient(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~brave(X)|~h... | ~funny(fred) | [] | null | 0 |
Everyone who is either wise or brave is either creative or not patient and vice versa.
Everyone who is either not creative or not brave is not creative or happy.
If someone is both creative and not brave then paul is not tall or quiet.
If someone is both kind and quiet then someone is happy.
Everyone who is both not ki... | Lucy is not funny. | contradiction | (![X]:((wise(X)<~>brave(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((~creative(X)<~>~brave(X))=>(~creative(X)|happy(X))))&
((?[X]:((creative(X)&~brave(X))))=>((~tall(paul)|quiet(paul))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:(happy(X))))&
(![X]:((~kind(X)&generous(X))<=>(creative(X)<~>~humble(X))))&
(![X]:((quiet(X)&~hu... | ~funny(lucy) | [
"p0",
"p6",
"p7",
"p8",
"p10",
"p14",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7880265058008435089915048
% SZS output start Proof for 7880265058008435089915048
1. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (creative(X0) <~> ~patient(X0))) [input p0]
7. ! [X0] : (calm(X0) => (brave(X0) <~> creative(X0))) [input p6]
8. ! [X0] : (~wise(X0) <=> (~curious(X0) & ~calm(X0))) [... | 0 |
If someone is either funny or strong then john is either kind or not generous and vice versa.
If alice is not wise or wise then susan is either strong or wise and vice versa.
Everyone who is not wise is humble and vice versa.
If lucy is both humble and not patient then someone is generous or not curious.
Everyone who i... | Alice is not brave. | entailment | ((?[X]:((funny(X)<~>strong(X))))<=>((kind(john)<~>~generous(john))))&
(((~wise(alice)|wise(alice)))<=>((strong(susan)<~>wise(susan))))&
(![X]:(~wise(X)<=>humble(X)))&
(((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((~happy(X)&~calm(X))=>(~wise(X)&rich(X))))&
(![X]:(brave(X)<=>(creative(X)|... | ~brave(alice) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 679140097383050959785502
% SZS output start Proof for 679140097383050959785502
10. ! [X0] : (brave(X0) <=> tall(X0)) [input p9]
11. ! [X0] : (old(X0) <=> (~old(X0) & tall(X0))) [input p10]
22. brave(alice) [input hypothesis]
48. ! [X0] : ((brave(X0) | ~tall(X0)) & (tall(X0) | ~brave(X0)))... | 0 |
Everyone who is not rich or not humble is tall and vice versa.
If alice is both quiet and calm then someone is kind.
If someone is both not funny and calm then susan is kind or brave.
Everyone who is not funny is kind or not funny.
Everyone who is both brave and not creative is either not happy or brave.
Everyone who i... | Mary is tall. | neutral | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(((quiet(alice)&calm(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~funny(X)&calm(X))))=>((kind(susan)|brave(susan))))&
(![X]:(~funny(X)=>(kind(X)|~funny(X))))&
(![X]:((brave(X)&~creative(X))=>(~happy(X)<~>brave(X))))&
(![X]:((~curious(X)&kind(X))=>~patient(X)))&
(![X]:((calm(X)<~>kind... | tall(mary) | [] | null | 0 |
If someone is either curious or not rich then john is rich and vice versa.
Everyone who is tall or not calm is both tall and wise.
If someone is not kind or not creative then someone is humble or not kind and vice versa.
Everyone who is wise or not patient is either strong or calm and vice versa.
If john is either not ... | Paul is creative. | neutral | ((?[X]:((curious(X)<~>~rich(X))))<=>(rich(john)))&
(![X]:((tall(X)|~calm(X))=>(tall(X)&wise(X))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((wise(X)|~patient(X))<=>(strong(X)<~>calm(X))))&
(((~kind(john)<~>~brave(john)))<=>(?[X]:((~brave(X)<~>brave(X)))))&
(((calm(john)|~funny(john)))<... | creative(paul) | [] | null | 0 |
If john is patient then john is not happy or strong.
Everyone who is old is not quiet or patient.
If someone is kind then paul is both tall and not generous and vice versa.
Everyone who is brave is both strong and funny.
Everyone who is patient is both not calm and not patient and vice versa.
Everyone who is creative o... | John is patient. | contradiction | ((patient(john))=>((~happy(john)|strong(john))))&
(![X]:(old(X)=>(~quiet(X)|patient(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~generous(paul))))&
(![X]:(brave(X)=>(strong(X)&funny(X))))&
(![X]:(patient(X)<=>(~calm(X)&~patient(X))))&
(![X]:((creative(X)|old(X))<=>(strong(X)<~>curious(X))))&
(![X]:((curious(X)&generous(X))... | patient(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4219206207638436696314830
% SZS output start Proof for 4219206207638436696314830
5. ! [X0] : (patient(X0) <=> (~patient(X0) & ~calm(X0))) [input p4]
23. patient(john) [input hypothesis]
41. ! [X0] : ((patient(X0) | (patient(X0) | calm(X0))) & ((~patient(X0) & ~calm(X0)) | ~patient(X0))) [... | 0 |
Everyone who is not funny is both not wise and not happy. If alice is either not creative or not strong then mary is strong or tall. If someone is either calm or not old then john is not generous. Everyone who is kind or not old is either tall or calm. If someone is either not old or not calm then someone is not humble... | Fred is not tall. | entailment | (![X]:(~funny(X)=>(~wise(X)&~happy(X))))&
(((~creative(alice)<~>~strong(alice)))=>((strong(mary)|tall(mary))))&
((?[X]:((calm(X)<~>~old(X))))=>(~generous(john)))&
(![X]:((kind(X)|~old(X))=>(tall(X)<~>calm(X))))&
((?[X]:((~old(X)<~>~calm(X))))=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)&humble(X))<=>(generous(X)<~>~humble(X... | ~tall(fred) | [
"p3",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6649680017398153627610383
% SZS output start Proof for 6649680017398153627610383
4. ! [X0] : ((~old(X0) | kind(X0)) => (tall(X0) <~> calm(X0))) [input p3]
11. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> (patient(X0) | quiet(X0))) [input p10]
13. ! [X0] : (~patient(X0) => (tall(X0) <~> ~calm(X... | 0 |
Everyone who is either rich or patient is generous and vice versa.
Everyone who is creative or old is both strong and not creative and vice versa.
Everyone who is either tall or generous is humble and vice versa.
Everyone who is either funny or not funny is both not patient and not brave and vice versa.
Everyone who is... | Fred is patient. | contradiction | (![X]:((rich(X)<~>patient(X))<=>generous(X)))&
(![X]:((creative(X)|old(X))<=>(strong(X)&~creative(X))))&
(![X]:((tall(X)<~>generous(X))<=>humble(X)))&
(![X]:((funny(X)<~>~funny(X))<=>(~patient(X)&~brave(X))))&
(![X]:((~quiet(X)&~strong(X))=>(~wise(X)&strong(X))))&
((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((~rich(X)|hum... | patient(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5915834604088100581991033
% SZS output start Proof for 5915834604088100581991033
4. ! [X0] : ((funny(X0) <~> ~funny(X0)) <=> (~brave(X0) & ~patient(X0))) [input p3]
20. patient(fred) [input hypothesis]
34. ! [X0] : ((((funny(X0) | ~funny(X0)) & (~funny(X0) | funny(X0))) | (brave(X0) | pat... | 0 |
If someone is either kind or not rich then alice is not rich and vice versa. If someone is rich or not creative then someone is humble or wise and vice versa. If someone is both curious and tall then susan is either old or quiet and vice versa. Everyone who is not old is not tall and vice versa. Everyone who is both wi... | Alice is not happy. | entailment | ((?[X]:((kind(X)<~>~rich(X))))<=>(~rich(alice)))&
((?[X]:((rich(X)|~creative(X))))<=>(?[X]:((humble(X)|wise(X)))))&
((?[X]:((curious(X)&tall(X))))<=>((old(susan)<~>quiet(susan))))&
(![X]:(~old(X)<=>~tall(X)))&
(![X]:((wise(X)&strong(X))=>(~generous(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>((old(john)&~wise(john))))&
(![X]:... | ~happy(alice) | [
"p3",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4717199913181155816429077
% SZS output start Proof for 4717199913181155816429077
4. ! [X0] : (~old(X0) <=> ~tall(X0)) [input p3]
7. ! [X0] : ((tall(X0) | ~creative(X0)) => (calm(X0) & ~happy(X0))) [input p6]
11. ! [X0] : ((old(X0) & wise(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p10]
1... | 0 |
Everyone who is both not calm and not kind is quiet and vice versa.
Everyone who is either not strong or humble is both not funny and not strong.
If someone is not humble then mary is both not happy and curious and vice versa.
Everyone who is both not creative and quiet is not happy and vice versa.
If paul is old or br... | Mary is creative. | neutral | (![X]:((~calm(X)&~kind(X))<=>quiet(X)))&
(![X]:((~strong(X)<~>humble(X))=>(~funny(X)&~strong(X))))&
((?[X]:(~humble(X)))<=>((~happy(mary)&curious(mary))))&
(![X]:((~creative(X)&quiet(X))<=>~happy(X)))&
(((old(paul)|brave(paul)))=>(curious(susan)))&
(![X]:((brave(X)<~>~funny(X))<=>(old(X)&creative(X))))&
(![X]:(rich(X)<... | creative(mary) | [] | null | 0 |
Everyone who is creative is either tall or not rich.
Everyone who is humble or not creative is both strong and not old and vice versa.
Everyone who is either old or not old is both curious and not tall.
Everyone who is either not quiet or not generous is either calm or humble and vice versa.
If someone is both not humb... | John is not generous. | contradiction | (![X]:(creative(X)=>(tall(X)<~>~rich(X))))&
(![X]:((humble(X)|~creative(X))<=>(strong(X)&~old(X))))&
(![X]:((old(X)<~>~old(X))=>(curious(X)&~tall(X))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(calm(X)<~>humble(X))))&
((?[X]:((~humble(X)&~funny(X))))=>((kind(paul)<~>curious(paul))))&
((?[X]:((happy(X)&brave(X))))=>(~funny(... | ~generous(john) | [
"p1",
"p2",
"p8",
"p9",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 591741187672840157181022
% SZS output start Proof for 591741187672840157181022
2. ! [X0] : ((~creative(X0) | humble(X0)) <=> (~old(X0) & strong(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~old(X0)) => (~tall(X0) & curious(X0))) [input p2]
9. ? [X0] : ~rich(X0) => (~creative(john) & humble(... | 0 |
Everyone who is either not patient or rich is both generous and tall and vice versa.
If susan is either rich or tall then someone is both strong and not rich and vice versa.
If someone is both creative and not brave then lucy is not old.
If lucy is either not wise or generous then someone is both creative and curious.
... | Paul is not strong. | neutral | (![X]:((~patient(X)<~>rich(X))<=>(generous(X)&tall(X))))&
(((rich(susan)<~>tall(susan)))<=>(?[X]:((strong(X)&~rich(X)))))&
((?[X]:((creative(X)&~brave(X))))=>(~old(lucy)))&
(((~wise(lucy)<~>generous(lucy)))=>(?[X]:((creative(X)&curious(X)))))&
(((calm(lucy)&curious(lucy)))=>((quiet(mary)&tall(mary))))&
(![X]:((~funny(X... | ~strong(paul) | [] | null | 0 |
If john is calm or generous then someone is not happy.
Everyone who is both not wise and calm is old.
If alice is either not strong or not brave then someone is funny and vice versa.
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice ve... | Mary is not happy. | entailment | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~strong(alice)<~>~brave(alice)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(... | ~happy(mary) | [
"p5",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 872734597825474995175436
% SZS output start Proof for 872734597825474995175436
6. ! [X0] : ((happy(X0) & ~creative(X0)) => (~generous(X0) & patient(X0))) [input p5]
8. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> quiet(X0))) [input p7]
13. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0)))... | 0 |
If paul is strong then lucy is both quiet and strong and vice versa.
Everyone who is either old or not creative is both calm and curious.
If someone is either not rich or not wise then someone is both creative and curious and vice versa.
If someone is both wise and not funny then someone is both not happy and kind.
Eve... | Lucy is not strong. | contradiction | ((strong(paul))<=>((quiet(lucy)&strong(lucy))))&
(![X]:((old(X)<~>~creative(X))=>(calm(X)&curious(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(?[X]:((creative(X)&curious(X)))))&
((?[X]:((wise(X)&~funny(X))))=>(?[X]:((~happy(X)&kind(X)))))&
(![X]:((~strong(X)<~>~brave(X))<=>(old(X)|~brave(X))))&
(((~calm(paul)|creative(pau... | ~strong(lucy) | [
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1043463868525883904929099
% SZS output start Proof for 1043463868525883904929099
2. ! [X0] : ((old(X0) <~> ~creative(X0)) => (curious(X0) & calm(X0))) [input p1]
5. ! [X0] : ((~strong(X0) <~> ~brave(X0)) <=> (~brave(X0) | old(X0))) [input p4]
9. ! [X0] : ((~brave(X0) <~> ~strong(X0)) => (... | 0 |
Everyone who is either not rich or quiet is either kind or patient and vice versa. If john is brave or not strong then paul is both wise and strong. If mary is both not curious and generous then john is tall or curious. Everyone who is not patient is calm or quiet. If someone is either not tall or not calm then john is... | John is brave. | neutral | (![X]:((~rich(X)<~>quiet(X))<=>(kind(X)<~>patient(X))))&
(((brave(john)|~strong(john)))=>((wise(paul)&strong(paul))))&
(((~curious(mary)&generous(mary)))=>((tall(john)|curious(john))))&
(![X]:(~patient(X)=>(calm(X)|quiet(X))))&
((?[X]:((~tall(X)<~>~calm(X))))<=>((~rich(john)&~funny(john))))&
(![X]:((patient(X)&~strong(... | brave(john) | [] | null | 0 |
If lucy is not tall then someone is not rich or not tall and vice versa. If lucy is both not kind and strong then someone is funny or not generous and vice versa. Everyone who is either not strong or quiet is either curious or not calm. Everyone who is either funny or wise is old. Everyone who is either tall or creativ... | Mary is not tall. | entailment | ((~tall(lucy))<=>(?[X]:((~rich(X)|~tall(X)))))&
(((~kind(lucy)&strong(lucy)))<=>(?[X]:((funny(X)|~generous(X)))))&
(![X]:((~strong(X)<~>quiet(X))=>(curious(X)<~>~calm(X))))&
(![X]:((funny(X)<~>wise(X))=>old(X)))&
(![X]:((tall(X)<~>creative(X))<=>(creative(X)|happy(X))))&
(((~kind(mary)&patient(mary)))=>((~humble(alice)... | ~tall(mary) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 899970273969472036543000
% SZS output start Proof for 899970273969472036543000
5. ! [X0] : ((tall(X0) <~> creative(X0)) <=> (happy(X0) | creative(X0))) [input p4]
23. ~happy(mary) & rich(mary) [input p22]
24. tall(mary) [input hypothesis]
52. ! [X0] : ((((~creative(X0) | ~tall(X0)) & (cre... | 0 |
If susan is either not generous or not patient then someone is either wise or not tall and vice versa.
Everyone who is brave or not patient is not generous.
Everyone who is not patient or not rich is both happy and not old and vice versa.
Everyone who is both not rich and not brave is not wise or rich.
If paul is kind ... | Susan is kind. | neutral | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((~patient(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((~rich(X)&~brave(X))=>(~wise(X)|rich(X))))&
((kind(paul))=>((kind(paul)<~>~old(paul))))&
(![X]:((~patient(X)|rich(X))<=>(~patient(X)<~>~ca... | kind(susan) | [] | null | 0 |
If someone is curious then paul is either rich or not old.
If lucy is not happy or creative then someone is humble and vice versa.
Everyone who is both happy and not rich is both generous and not generous and vice versa.
Everyone who is not rich or not creative is both generous and patient and vice versa.
Everyone who ... | Lucy is brave. | entailment | ((?[X]:(curious(X)))=>((rich(paul)<~>~old(paul))))&
(((~happy(lucy)|creative(lucy)))<=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~rich(X))<=>(generous(X)&~generous(X))))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(... | brave(lucy) | [
"p2",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3011864673531130664206654
% SZS output start Proof for 3011864673531130664206654
3. ! [X0] : ((~rich(X0) & happy(X0)) <=> (~generous(X0) & generous(X0))) [input p2]
5. ! [X0] : ((~happy(X0) <~> ~brave(X0)) => (old(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (funny(X0) <=> rich(X0)) [input... | 0 |
Everyone who is either not generous or not humble is either not tall or not quiet and vice versa. Everyone who is both happy and not wise is not calm. Everyone who is tall is both not strong and not wise. If fred is both quiet and not funny then paul is generous or humble. Everyone who is not curious or not generous is... | John is not quiet. | neutral | (![X]:((~generous(X)<~>~humble(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:((happy(X)&~wise(X))=>~calm(X)))&
(![X]:(tall(X)=>(~strong(X)&~wise(X))))&
(((quiet(fred)&~funny(fred)))=>((generous(paul)|humble(paul))))&
(![X]:((~curious(X)|~generous(X))<=>generous(X)))&
((?[X]:((patient(X)&old(X))))<=>(?[X]:((~kind(X)|~creative(X... | ~quiet(john) | [] | null | 0 |
If fred is both not kind and not wise then paul is brave.
Everyone who is brave is both not brave and not happy and vice versa.
If someone is either kind or happy then someone is both not kind and not creative and vice versa.
Everyone who is creative is both quiet and old.
Everyone who is not wise or humble is creative... | Fred is wise. | contradiction | (((~kind(fred)&~wise(fred)))=>(brave(paul)))&
(![X]:(brave(X)<=>(~brave(X)&~happy(X))))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:(creative(X)=>(quiet(X)&old(X))))&
(![X]:((~wise(X)|humble(X))<=>(creative(X)|~strong(X))))&
(![X]:((funny(X)&strong(X))<=>(funny(X)<~>curious(X))))&
(![X]:(... | wise(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4128826419285217467140301
% SZS output start Proof for 4128826419285217467140301
17. ~generous(fred) & ~wise(fred) [input p16]
22. wise(fred) [input hypothesis]
118. ~wise(fred) [cnf transformation 17]
126. wise(fred) [cnf transformation 22]
141. 2 <=> wise(fred) [avatar definition]
251. ... | 0 |
Everyone who is brave or strong is generous or not tall and vice versa.
Everyone who is not calm is not funny.
If lucy is either not humble or not rich then lucy is calm or rich and vice versa.
Everyone who is not funny is either not patient or tall and vice versa.
If someone is both not wise and quiet then fred is not... | Susan is not creative. | neutral | (![X]:((brave(X)|strong(X))<=>(generous(X)|~tall(X))))&
(![X]:(~calm(X)=>~funny(X)))&
(((~humble(lucy)<~>~rich(lucy)))<=>((calm(lucy)|rich(lucy))))&
(![X]:(~funny(X)<=>(~patient(X)<~>tall(X))))&
((?[X]:((~wise(X)&quiet(X))))<=>((~calm(fred)|rich(fred))))&
(![X]:((~funny(X)<~>creative(X))=>(humble(X)&~funny(X))))&
(((~s... | ~creative(susan) | [] | null | 0 |
Everyone who is either not generous or not creative is not tall.
If someone is curious then someone is generous.
Everyone who is both wise and happy is happy or not old and vice versa.
If lucy is either not curious or calm then someone is either not quiet or generous.
If someone is both kind and not old then someone is... | Fred is not brave. | contradiction | (![X]:((~generous(X)<~>~creative(X))=>~tall(X)))&
((?[X]:(curious(X)))=>(?[X]:(generous(X))))&
(![X]:((wise(X)&happy(X))<=>(happy(X)|~old(X))))&
(((~curious(lucy)<~>calm(lucy)))=>(?[X]:((~quiet(X)<~>generous(X)))))&
((?[X]:((kind(X)&~old(X))))=>(?[X]:(~kind(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(brave(X)&rich(X))))&
... | ~brave(fred) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7763813952139605452885036
% SZS output start Proof for 7763813952139605452885036
6. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> (rich(X0) & brave(X0))) [input p5]
16. ! [X0] : ((~humble(X0) & humble(X0)) <=> (strong(X0) & ~brave(X0))) [input p15]
25. ~brave(fred) [input hypothesis]
52. ! [X... | 0 |
Everyone who is either kind or happy is not kind or calm and vice versa.
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is b... | Alice is not happy. | entailment | (![X]:((kind(X)<~>happy(X))<=>(~kind(X)|calm(X))))&
(![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&... | ~happy(alice) | [
"p0",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5545218739037258063512803
% SZS output start Proof for 5545218739037258063512803
1. ! [X0] : ((kind(X0) <~> happy(X0)) <=> (calm(X0) | ~kind(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | tall(X0)) => (~happy(X0) & strong(X0))) [input p5]
13. ! [X0] : ((~wise(X0) | ~kind(X0)) => (tall(X0)... | 0 |
Everyone who is patient or not calm is both not tall and not curious. Everyone who is either strong or wise is not wise or not kind and vice versa. If someone is calm then susan is both rich and wise. If someone is not calm then john is kind or quiet. Everyone who is either not humble or not strong is both tall and fun... | John is not quiet. | contradiction | (![X]:((patient(X)|~calm(X))=>(~tall(X)&~curious(X))))&
(![X]:((strong(X)<~>wise(X))<=>(~wise(X)|~kind(X))))&
((?[X]:(calm(X)))=>((rich(susan)&wise(susan))))&
((?[X]:(~calm(X)))=>((kind(john)|quiet(john))))&
(![X]:((~humble(X)<~>~strong(X))<=>(tall(X)&funny(X))))&
(((old(lucy)|generous(lucy)))<=>((~humble(mary)&strong(... | ~quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8549169815212491131893567
% SZS output start Proof for 8549169815212491131893567
2. ! [X0] : ((strong(X0) <~> wise(X0)) <=> (~kind(X0) | ~wise(X0))) [input p1]
3. ? [X0] : calm(X0) => (wise(susan) & rich(susan)) [input p2]
4. ? [X0] : ~calm(X0) => (quiet(john) | kind(john)) [input p3]
5. ... | 0 |
Everyone who is either not funny or funny is both not kind and not wise.
Everyone who is either quiet or creative is rich or not happy.
If someone is either creative or not wise then paul is both kind and creative and vice versa.
Everyone who is kind or not tall is both not strong and not wise.
If someone is either cal... | Susan is not humble. | neutral | (![X]:((~funny(X)<~>funny(X))=>(~kind(X)&~wise(X))))&
(![X]:((quiet(X)<~>creative(X))=>(rich(X)|~happy(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>((kind(paul)&creative(paul))))&
(![X]:((kind(X)|~tall(X))=>(~strong(X)&~wise(X))))&
((?[X]:((calm(X)<~>~strong(X))))=>(?[X]:((~rich(X)|~brave(X)))))&
(![X]:((~patient(X)&~ta... | ~humble(susan) | [] | null | 0 |
Everyone who is either tall or old is both humble and not patient and vice versa.
If someone is not tall then susan is either not rich or not wise and vice versa.
Everyone who is both not happy and kind is strong.
If lucy is both not patient and not creative then someone is either not generous or not tall and vice vers... | Alice is not old. | entailment | (![X]:((tall(X)<~>old(X))<=>(humble(X)&~patient(X))))&
((?[X]:(~tall(X)))<=>((~rich(susan)<~>~wise(susan))))&
(![X]:((~happy(X)&kind(X))=>strong(X)))&
(((~patient(lucy)&~creative(lucy)))<=>(?[X]:((~generous(X)<~>~tall(X)))))&
(((~funny(john)|~quiet(john)))=>(?[X]:((~humble(X)&curious(X)))))&
((~curious(alice))<=>(~funn... | ~old(alice) | [
"p9",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8118043234733218624481174
% SZS output start Proof for 8118043234733218624481174
10. ! [X0] : (~quiet(X0) => (~calm(X0) & ~brave(X0))) [input p9]
11. (~strong(mary) | ~creative(mary)) <=> (~old(alice) & ~kind(alice)) [input p10]
16. ! [X0] : (~calm(X0) <=> (creative(X0) <~> strong(X0))) [... | 0 |
If someone is either patient or quiet then someone is both patient and curious.
Everyone who is not kind or kind is either not brave or curious and vice versa.
Everyone who is calm is quiet and vice versa.
If lucy is not rich or wise then someone is not curious.
Everyone who is both happy and rich is not kind or not cr... | Alice is not funny. | neutral | ((?[X]:((patient(X)<~>quiet(X))))=>(?[X]:((patient(X)&curious(X)))))&
(![X]:((~kind(X)|kind(X))<=>(~brave(X)<~>curious(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(((~rich(lucy)|wise(lucy)))=>(?[X]:(~curious(X))))&
(![X]:((happy(X)&rich(X))=>(~kind(X)|~creative(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~quiet(X))))&
(![X]:(old(X)... | ~funny(alice) | [] | null | 0 |
Everyone who is rich or not calm is patient or strong. Everyone who is both curious and not old is either not rich or strong and vice versa. Everyone who is brave is both not funny and kind and vice versa. If john is either rich or curious then someone is not humble and vice versa. If someone is funny then susan is old... | John is not kind. | entailment | (![X]:((rich(X)|~calm(X))=>(patient(X)|strong(X))))&
(![X]:((curious(X)&~old(X))<=>(~rich(X)<~>strong(X))))&
(![X]:(brave(X)<=>(~funny(X)&kind(X))))&
(((rich(john)<~>curious(john)))<=>(?[X]:(~humble(X))))&
((?[X]:(funny(X)))<=>((old(susan)|~humble(susan))))&
(((~quiet(lucy)<~>happy(lucy)))=>(~creative(paul)))&
(((humbl... | ~kind(john) | [
"p1",
"p2",
"p3",
"p9",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4278935885751437843100834
% SZS output start Proof for 4278935885751437843100834
2. ! [X0] : ((~old(X0) & curious(X0)) <=> (~rich(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) & ~funny(X0))) [input p2]
4. (rich(john) <~> curious(john)) <=> ? [X0] : ~humble(X0) [inpu... | 0 |
If fred is either old or quiet then susan is both not quiet and humble. If fred is not funny or quiet then someone is either funny or kind. If susan is both not strong and not happy then john is quiet. Everyone who is creative or not quiet is either calm or funny. Everyone who is not patient or not happy is both creati... | Lucy is not patient. | entailment | (((old(fred)<~>quiet(fred)))=>((~quiet(susan)&humble(susan))))&
(((~funny(fred)|quiet(fred)))=>(?[X]:((funny(X)<~>kind(X)))))&
(((~strong(susan)&~happy(susan)))=>(quiet(john)))&
(![X]:((creative(X)|~quiet(X))=>(calm(X)<~>funny(X))))&
(![X]:((~patient(X)|~happy(X))=>(creative(X)&generous(X))))&
((?[X]:((~calm(X)<~>~quie... | ~patient(lucy) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5593138244610098584862428
% SZS output start Proof for 5593138244610098584862428
7. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> ~calm(X0)) [input p6]
14. ! [X0] : ((humble(X0) <~> ~calm(X0)) <=> (humble(X0) & ~brave(X0))) [input p13]
20. ~patient(lucy) <~> ~calm(lucy) [input p19]
24. patient(... | 0 |
If someone is funny or not old then john is not rich or not strong and vice versa. If someone is not curious then john is both not quiet and not creative and vice versa. If fred is not kind or not creative then someone is happy. If someone is rich or not old then john is either not curious or not happy. If paul is both... | Mary is tall. | entailment | ((?[X]:((funny(X)|~old(X))))<=>((~rich(john)|~strong(john))))&
((?[X]:(~curious(X)))<=>((~quiet(john)&~creative(john))))&
(((~kind(fred)|~creative(fred)))=>(?[X]:(happy(X))))&
((?[X]:((rich(X)|~old(X))))=>((~curious(john)<~>~happy(john))))&
(((~brave(paul)&~strong(paul)))<=>(?[X]:((funny(X)|~creative(X)))))&
(![X]:((~r... | tall(mary) | [
"p1",
"p5",
"p6",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2735098177187482128892171
% SZS output start Proof for 2735098177187482128892171
2. ? [X0] : ~curious(X0) <=> (~creative(john) & ~quiet(john)) [input p1]
6. ! [X0] : ((~calm(X0) | ~rich(X0)) <=> (~wise(X0) & wise(X0))) [input p5]
7. ! [X0] : (strong(X0) <=> (~creative(X0) & calm(X0))) [in... | 0 |
Everyone who is brave or generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If someone is either not kind or tall then someone is not humble. Everyone who is both humble a... | Mary is kind. | neutral | (![X]:((brave(X)|generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~kind(X)&creative(X))=>calm(X... | kind(mary) | [] | null | 0 |
If someone is either not tall or kind then someone is strong and vice versa.
Everyone who is not kind is not rich.
Everyone who is tall or not calm is both not happy and kind.
Everyone who is not old is either not rich or not humble.
If susan is either tall or not old then susan is either generous or strong and vice ve... | John is strong. | entailment | ((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(strong(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((tall(X)|~calm(X))=>(~happy(X)&kind(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~humble(X))))&
(((tall(susan)<~>~old(susan)))<=>((generous(susan)<~>strong(susan))))&
((quiet(fred))<=>(?[X]:((~strong(X)<~>patient(X)))))&
((?[X]:((quiet(X)<~... | strong(john) | [
"p2",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2241483703446875089816563
% SZS output start Proof for 2241483703446875089816563
3. ! [X0] : ((~calm(X0) | tall(X0)) => (kind(X0) & ~happy(X0))) [input p2]
9. ! [X0] : ((~happy(X0) | ~kind(X0)) => ~calm(X0)) [input p8]
10. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (tall(X0) & creative(X0)))... | 0 |
Everyone who is humble is happy or not rich and vice versa.
Everyone who is both wise and not creative is both kind and generous and vice versa.
If someone is not funny or brave then susan is old or not curious and vice versa.
Everyone who is not humble is quiet.
If lucy is either generous or not quiet then susan is bo... | Mary is old. | contradiction | (![X]:(humble(X)<=>(happy(X)|~rich(X))))&
(![X]:((wise(X)&~creative(X))<=>(kind(X)&generous(X))))&
((?[X]:((~funny(X)|brave(X))))<=>((old(susan)|~curious(susan))))&
(![X]:(~humble(X)=>quiet(X)))&
(((generous(lucy)<~>~quiet(lucy)))=>((calm(susan)&~wise(susan))))&
(![X]:((~curious(X)<~>creative(X))<=>~old(X)))&
(![X]:(~w... | old(mary) | [
"p6",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1479332486004531971863856
% SZS output start Proof for 1479332486004531971863856
7. ! [X0] : (~wise(X0) <=> (~quiet(X0) <~> ~wise(X0))) [input p6]
9. ! [X0] : (quiet(X0) <=> (calm(X0) & ~strong(X0))) [input p8]
20. ~calm(mary) <~> ~old(mary) [input p19]
24. old(mary) [input hypothesis]
43... | 0 |
If john is kind or not generous then fred is quiet or wise.
Everyone who is both not funny and not patient is both not patient and quiet and vice versa.
Everyone who is not rich is strong and vice versa.
If someone is both not patient and not humble then someone is not wise.
Everyone who is either humble or curious is ... | Susan is old. | entailment | (((kind(john)|~generous(john)))=>((quiet(fred)|wise(fred))))&
(![X]:((~funny(X)&~patient(X))<=>(~patient(X)&quiet(X))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:((~patient(X)&~humble(X))))=>(?[X]:(~wise(X))))&
(![X]:((humble(X)<~>curious(X))<=>(~kind(X)&~calm(X))))&
((~generous(susan))=>(?[X]:((~calm(X)|~tall(X)))))&
(![... | old(susan) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8601179918058378919911627
% SZS output start Proof for 8601179918058378919911627
14. ! [X0] : ((~generous(X0) | rich(X0)) <=> (~rich(X0) | old(X0))) [input p13]
16. ! [X0] : ((creative(X0) & old(X0)) <=> (~old(X0) & ~rich(X0))) [input p15]
24. ~old(susan) [input hypothesis]
56. ! [X0] : (... | 0 |
Everyone who is either brave or quiet is both not strong and funny.
If susan is creative then mary is both not rich and not generous and vice versa.
If alice is wise or old then john is both not happy and not quiet and vice versa.
If paul is not kind or calm then john is calm or not happy.
Everyone who is both tall and... | Fred is not curious. | neutral | (![X]:((brave(X)<~>quiet(X))=>(~strong(X)&funny(X))))&
((creative(susan))<=>((~rich(mary)&~generous(mary))))&
(((wise(alice)|old(alice)))<=>((~happy(john)&~quiet(john))))&
(((~kind(paul)|calm(paul)))=>((calm(john)|~happy(john))))&
(![X]:((tall(X)&~old(X))<=>~rich(X)))&
(![X]:(~funny(X)<=>(kind(X)|happy(X))))&
(![X]:((~... | ~curious(fred) | [] | null | 0 |
Everyone who is either calm or tall is tall or not creative and vice versa. Everyone who is both happy and not kind is not old. If fred is quiet then alice is both funny and not wise. Everyone who is either not quiet or curious is humble and vice versa. Everyone who is funny is happy and vice versa. If lucy is either n... | Paul is not humble. | contradiction | (![X]:((calm(X)<~>tall(X))<=>(tall(X)|~creative(X))))&
(![X]:((happy(X)&~kind(X))=>~old(X)))&
((quiet(fred))=>((funny(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>curious(X))<=>humble(X)))&
(![X]:(funny(X)<=>happy(X)))&
(((~old(lucy)<~>~calm(lucy)))=>((brave(alice)<~>~rich(alice))))&
(((~humble(susan)<~>~funny(susan)))<... | ~humble(paul) | [
"p0",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5329805219183783439467202
% SZS output start Proof for 5329805219183783439467202
1. ! [X0] : ((calm(X0) <~> tall(X0)) <=> (~creative(X0) | tall(X0))) [input p0]
11. ! [X0] : ((~tall(X0) | ~brave(X0)) => (tall(X0) <~> ~happy(X0))) [input p10]
12. ? [X0] : (brave(X0) | ~humble(X0)) => ? [X0... | 0 |
Everyone who is both not happy and strong is not brave. Everyone who is not calm or happy is either wise or not old and vice versa. If lucy is both not patient and not tall then someone is both generous and wise. Everyone who is wise or not tall is both curious and creative. Everyone who is not rich is brave or not kin... | Mary is brave. | entailment | (![X]:((~happy(X)&strong(X))=>~brave(X)))&
(![X]:((~calm(X)|happy(X))<=>(wise(X)<~>~old(X))))&
(((~patient(lucy)&~tall(lucy)))=>(?[X]:((generous(X)&wise(X)))))&
(![X]:((wise(X)|~tall(X))=>(curious(X)&creative(X))))&
(![X]:(~rich(X)=>(brave(X)|~kind(X))))&
(![X]:((brave(X)&~humble(X))<=>(kind(X)|~brave(X))))&
(((~kind(m... | brave(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4650238656643401603759115
% SZS output start Proof for 4650238656643401603759115
6. ! [X0] : ((~humble(X0) & brave(X0)) <=> (~brave(X0) | kind(X0))) [input p5]
25. ~brave(mary) [input hypothesis]
49. ! [X0] : (((~humble(X0) & brave(X0)) | (brave(X0) & ~kind(X0))) & ((~brave(X0) | kind(X0)... | 0 |
If fred is not rich then paul is both quiet and curious.
Everyone who is creative is curious or tall.
Everyone who is both not calm and tall is patient or not old.
Everyone who is humble or not creative is brave or curious and vice versa.
If fred is not tall or not happy then someone is both not brave and not generous ... | Alice is tall. | neutral | ((~rich(fred))=>((quiet(paul)&curious(paul))))&
(![X]:(creative(X)=>(curious(X)|tall(X))))&
(![X]:((~calm(X)&tall(X))=>(patient(X)|~old(X))))&
(![X]:((humble(X)|~creative(X))<=>(brave(X)|curious(X))))&
(((~tall(fred)|~happy(fred)))<=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:(generous(X)=>(strong(X)|~wise(X))))&
(![X]:... | tall(alice) | [] | null | 0 |
Everyone who is calm is either not rich or not patient and vice versa.
Everyone who is not funny is either not brave or strong and vice versa.
Everyone who is not curious is either not patient or not creative.
If mary is brave then fred is not generous and vice versa.
If someone is not wise or not rich then someone is ... | Lucy is rich. | entailment | (![X]:(calm(X)<=>(~rich(X)<~>~patient(X))))&
(![X]:(~funny(X)<=>(~brave(X)<~>strong(X))))&
(![X]:(~curious(X)=>(~patient(X)<~>~creative(X))))&
((brave(mary))<=>(~generous(fred)))&
((?[X]:((~wise(X)|~rich(X))))<=>(?[X]:(rich(X))))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X))))&
((?[X]:((~old(X)<~>tall(X))))=>(?[X]:(~... | rich(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1575487505339878941493425
% SZS output start Proof for 1575487505339878941493425
14. ! [X0] : (quiet(X0) <=> (~rich(X0) & ~quiet(X0))) [input p13]
25. ~rich(lucy) [input hypothesis]
63. ! [X0] : ((quiet(X0) | (rich(X0) | quiet(X0))) & ((~rich(X0) & ~quiet(X0)) | ~quiet(X0))) [nnf transfor... | 0 |
If john is curious or not strong then someone is not humble or not old and vice versa.
Everyone who is both curious and not patient is either not wise or happy and vice versa.
If alice is curious or not tall then lucy is calm.
Everyone who is both not generous and not funny is curious and vice versa.
If someone is brav... | Mary is creative. | contradiction | (((curious(john)|~strong(john)))<=>(?[X]:((~humble(X)|~old(X)))))&
(![X]:((curious(X)&~patient(X))<=>(~wise(X)<~>happy(X))))&
(((curious(alice)|~tall(alice)))=>(calm(lucy)))&
(![X]:((~generous(X)&~funny(X))<=>curious(X)))&
((?[X]:((brave(X)|~generous(X))))=>(?[X]:((~brave(X)|~rich(X)))))&
(![X]:(~kind(X)=>(happy(X)&str... | creative(mary) | [
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8631556750141962663725246
% SZS output start Proof for 8631556750141962663725246
8. ! [X0] : ((tall(X0) & rich(X0)) <=> (humble(X0) | strong(X0))) [input p7]
9. ! [X0] : ((~humble(X0) | rich(X0)) => (creative(X0) <~> old(X0))) [input p8]
14. ! [X0] : ((old(X0) & rich(X0)) <=> (~humble(X0)... | 0 |
Everyone who is both not kind and strong is both not funny and not happy.
Everyone who is either not patient or not rich is both not wise and calm.
If someone is both old and not tall then someone is not wise or not curious.
Everyone who is either brave or patient is humble.
If alice is not generous then lucy is strong... | Fred is happy. | entailment | (![X]:((~kind(X)&strong(X))=>(~funny(X)&~happy(X))))&
(![X]:((~patient(X)<~>~rich(X))=>(~wise(X)&calm(X))))&
((?[X]:((old(X)&~tall(X))))=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:((brave(X)<~>patient(X))=>humble(X)))&
((~generous(alice))=>(strong(lucy)))&
(((strong(alice)<~>~wise(alice)))=>(?[X]:((~calm(X)|humble(X)))))... | happy(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 873363803813698635982389
% SZS output start Proof for 873363803813698635982389
24. ~wise(fred) & happy(fred) [input p23]
25. ~happy(fred) [input hypothesis]
145. happy(fred) [cnf transformation 24]
147. ~happy(fred) [cnf transformation 25]
269. 27 <=> happy(fred) [avatar definition]
287. ... | 0 |
Everyone who is rich or patient is both not tall and curious.
If someone is both happy and patient then susan is creative and vice versa.
Everyone who is not wise is either kind or funny and vice versa.
If someone is wise then someone is generous or not wise and vice versa.
Everyone who is both kind and happy is not fu... | Susan is not generous. | contradiction | (![X]:((rich(X)|patient(X))=>(~tall(X)&curious(X))))&
((?[X]:((happy(X)&patient(X))))<=>(creative(susan)))&
(![X]:(~wise(X)<=>(kind(X)<~>funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((kind(X)&happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>(~funny(X)<~>wise(X))))&
(![X]:((brave(X)&~patient(X))... | ~generous(susan) | [
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2398224463522390839566287
% SZS output start Proof for 2398224463522390839566287
6. ! [X0] : (generous(X0) <=> (~funny(X0) <~> wise(X0))) [input p5]
10. ! [X0] : (funny(X0) <=> (generous(X0) & ~old(X0))) [input p9]
11. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p10]
23. ~g... | 0 |
Everyone who is not happy is either not tall or patient and vice versa.
Everyone who is not funny or tall is both not patient and happy.
If lucy is not tall then john is strong and vice versa.
Everyone who is not strong or strong is either not curious or brave.
Everyone who is both not curious and funny is both quiet a... | Mary is humble. | entailment | (![X]:(~happy(X)<=>(~tall(X)<~>patient(X))))&
(![X]:((~funny(X)|tall(X))=>(~patient(X)&happy(X))))&
((~tall(lucy))<=>(strong(john)))&
(![X]:((~strong(X)|strong(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~curious(X)&funny(X))<=>(quiet(X)&~tall(X))))&
(![X]:((calm(X)&~calm(X))<=>(patient(X)<~>~calm(X))))&
(![X]:((~quiet(X)... | humble(mary) | [
"p0",
"p1",
"p4",
"p7",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 587817736893761831917971
% SZS output start Proof for 587817736893761831917971
1. ! [X0] : (~happy(X0) <=> (~tall(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((tall(X0) | ~funny(X0)) => (happy(X0) & ~patient(X0))) [input p1]
5. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (~tall(X0) & quiet(... | 0 |
Everyone who is not quiet or not funny is curious or tall.
Everyone who is not rich is either not old or not quiet and vice versa.
Everyone who is either tall or curious is both not creative and generous and vice versa.
If someone is both tall and not creative then alice is patient or not old and vice versa.
If alice i... | Alice is kind. | neutral | (![X]:((~quiet(X)|~funny(X))=>(curious(X)|tall(X))))&
(![X]:(~rich(X)<=>(~old(X)<~>~quiet(X))))&
(![X]:((tall(X)<~>curious(X))<=>(~creative(X)&generous(X))))&
((?[X]:((tall(X)&~creative(X))))<=>((patient(alice)|~old(alice))))&
((~kind(alice))<=>(?[X]:(~strong(X))))&
(![X]:((creative(X)<~>~happy(X))<=>~calm(X)))&
(((cal... | kind(alice) | [] | null | 0 |
Everyone who is either curious or strong is both happy and not happy.
Everyone who is either not kind or funny is either not strong or strong.
If john is not quiet then mary is both happy and not generous.
Everyone who is both not kind and rich is not happy.
Everyone who is not generous is either not strong or patient.... | Lucy is not strong. | entailment | (![X]:((curious(X)<~>strong(X))=>(happy(X)&~happy(X))))&
(![X]:((~kind(X)<~>funny(X))=>(~strong(X)<~>strong(X))))&
((~quiet(john))=>((happy(mary)&~generous(mary))))&
(![X]:((~kind(X)&rich(X))=>~happy(X)))&
(![X]:(~generous(X)=>(~strong(X)<~>patient(X))))&
(((rich(alice)&~curious(alice)))=>((tall(john)|~happy(john))))&
... | ~strong(lucy) | [
"p7",
"p10",
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4850261494216766762819902
% SZS output start Proof for 4850261494216766762819902
8. funny(susan) <=> ? [X0] : (~tall(X0) | ~creative(X0)) [input p7]
11. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (~funny(X0) & patient(X0))) [input p10]
12. ~patient(john) <=> (patient(lucy) <~> tall(lucy)) [in... | 0 |
If someone is funny or humble then lucy is either curious or not happy. If someone is patient or not tall then someone is not creative and vice versa. Everyone who is brave is both not happy and generous and vice versa. Everyone who is not tall is generous. Everyone who is either not patient or not rich is both not cur... | Alice is not curious. | neutral | ((?[X]:((funny(X)|humble(X))))=>((curious(lucy)<~>~happy(lucy))))&
((?[X]:((patient(X)|~tall(X))))<=>(?[X]:(~creative(X))))&
(![X]:(brave(X)<=>(~happy(X)&generous(X))))&
(![X]:(~tall(X)=>generous(X)))&
(![X]:((~patient(X)<~>~rich(X))=>(~curious(X)&calm(X))))&
(((~happy(susan)<~>old(susan)))=>(?[X]:((quiet(X)|brave(X)))... | ~curious(alice) | [] | null | 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... | Susan is not strong. | 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... | ~strong(susan) | [
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6941972383059635239920804
% SZS output start Proof for 6941972383059635239920804
10. ! [X0] : ((~old(X0) | ~brave(X0)) => (strong(X0) & old(X0))) [input p9]
22. ~brave(susan) [input p21]
24. ~strong(susan) [input hypothesis]
30. ! [X0] : ((strong(X0) & old(X0)) | (old(X0) & brave(X0))) [e... | 0 |
Everyone who is either calm or not calm is old or not calm.
Everyone who is not creative is either not happy or strong and vice versa.
If paul is patient or not patient then john is wise or creative.
Everyone who is either creative or not old is not patient and vice versa.
If lucy is generous or not calm then mary is e... | Paul is not generous. | neutral | (![X]:((calm(X)<~>~calm(X))=>(old(X)|~calm(X))))&
(![X]:(~creative(X)<=>(~happy(X)<~>strong(X))))&
(((patient(paul)|~patient(paul)))=>((wise(john)|creative(john))))&
(![X]:((creative(X)<~>~old(X))<=>~patient(X)))&
(((generous(lucy)|~calm(lucy)))=>((~rich(mary)<~>~strong(mary))))&
(((~calm(mary)&calm(mary)))<=>(?[X]:((~... | ~generous(paul) | [] | null | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | John is not strong. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | ~strong(john) | [
"p3",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4205231861816071196535769
% SZS output start Proof for 4205231861816071196535769
4. ! [X0] : (~strong(X0) <=> (rich(X0) <~> ~old(X0))) [input p3]
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~cal... | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Fred is not calm. | entailment | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | ~calm(fred) | [
"p1",
"p3",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4995293962869455449663690
% SZS output start Proof for 4995293962869455449663690
2. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> calm(X0)) [input p1]
4. ! [X0] : (~happy(X0) <=> (~happy(X0) <~> ~humble(X0))) [input p3]
7. ! [X0] : ((~generous(X0) | rich(X0)) <=> (~rich(X0) | old(X0))) [input... | 0 |
Everyone who is either not strong or not patient is either humble or patient and vice versa.
Everyone who is humble is calm and vice versa.
Everyone who is both not kind and not quiet is not creative or not happy and vice versa.
If someone is not curious or not strong then someone is either not calm or not humble and v... | Susan is humble. | entailment | (![X]:((~strong(X)<~>~patient(X))<=>(humble(X)<~>patient(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:((~kind(X)&~quiet(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((~curious(X)|~strong(X))))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(((tall(paul)|old(paul)))<=>(?[X]:((tall(X)&~kind(X)))))&
(((brave(mary)|funny(mary)))<=>((~tall... | humble(susan) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7218592918251561140734164
% SZS output start Proof for 7218592918251561140734164
1. ! [X0] : ((~strong(X0) <~> ~patient(X0)) <=> (humble(X0) <~> patient(X0))) [input p0]
2. ! [X0] : (humble(X0) <=> calm(X0)) [input p1]
4. ? [X0] : (~strong(X0) | ~curious(X0)) <=> ? [X0] : (~calm(X0) <~> ~... | 0 |
Everyone who is both tall and brave is creative and vice versa. Everyone who is both not brave and not old is both old and strong. If susan is either old or not creative then someone is curious or not quiet and vice versa. Everyone who is calm is happy or not tall. Everyone who is either kind or brave is both brave and... | Susan is brave. | entailment | (![X]:((tall(X)&brave(X))<=>creative(X)))&
(![X]:((~brave(X)&~old(X))=>(old(X)&strong(X))))&
(((old(susan)<~>~creative(susan)))<=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:(calm(X)=>(happy(X)|~tall(X))))&
(![X]:((kind(X)<~>brave(X))=>(brave(X)&~curious(X))))&
((?[X]:(curious(X)))<=>((humble(paul)&~old(paul))))&
((?[X]:((... | brave(susan) | [
"p0",
"p1",
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 710815898783180565184615
% SZS output start Proof for 710815898783180565184615
1. ! [X0] : ((brave(X0) & tall(X0)) <=> creative(X0)) [input p0]
2. ! [X0] : ((~old(X0) & ~brave(X0)) => (strong(X0) & old(X0))) [input p1]
3. (old(susan) <~> ~creative(susan)) <=> ? [X0] : (~quiet(X0) | curiou... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Paul is strong. | neutral | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | strong(paul) | [] | null | 0 |
Everyone who is calm is either brave or not quiet and vice versa.
Everyone who is both not humble and not funny is either funny or not brave and vice versa.
Everyone who is both not patient and calm is not strong or rich.
If someone is not brave or not generous then someone is not tall.
Everyone who is not brave or not... | Paul is not brave. | entailment | (![X]:(calm(X)<=>(brave(X)<~>~quiet(X))))&
(![X]:((~humble(X)&~funny(X))<=>(funny(X)<~>~brave(X))))&
(![X]:((~patient(X)&calm(X))=>(~strong(X)|rich(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)|~rich(X))=>(~brave(X)<~>old(X))))&
((?[X]:(~quiet(X)))<=>(~quiet(paul)))&
(((~brave(alice)<... | ~brave(paul) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8746947542575771066562024
% SZS output start Proof for 8746947542575771066562024
2. ! [X0] : ((~funny(X0) & ~humble(X0)) <=> (funny(X0) <~> ~brave(X0))) [input p1]
8. ! [X0] : ((~rich(X0) | ~funny(X0)) => (~wise(X0) & wise(X0))) [input p7]
22. brave(paul) [input hypothesis]
34. ! [X0] : (... | 0 |
Everyone who is not funny is rich and vice versa.
Everyone who is rich is either humble or curious and vice versa.
Everyone who is calm or brave is not curious.
If fred is either calm or not rich then someone is both not generous and not rich and vice versa.
Everyone who is not quiet or not tall is calm or not brave.
E... | Fred is rich. | entailment | (![X]:(~funny(X)<=>rich(X)))&
(![X]:(rich(X)<=>(humble(X)<~>curious(X))))&
(![X]:((calm(X)|brave(X))=>~curious(X)))&
(((calm(fred)<~>~rich(fred)))<=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~quiet(X)|~tall(X))=>(calm(X)|~brave(X))))&
(![X]:(~brave(X)<=>(~tall(X)|~strong(X))))&
((?[X]:((humble(X)&~quiet(X))))=>(?[X]:(... | rich(fred) | [
"p0",
"p2",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5716537466601894658230396
% SZS output start Proof for 5716537466601894658230396
1. ! [X0] : (~funny(X0) <=> rich(X0)) [input p0]
3. ! [X0] : ((brave(X0) | calm(X0)) => ~curious(X0)) [input p2]
11. ! [X0] : ((funny(X0) & calm(X0)) <=> funny(X0)) [input p10]
16. (~funny(fred) | curious(fre... | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Alice is tall. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | tall(alice) | [] | null | 0 |
Everyone who is either quiet or funny is not humble.
Everyone who is both kind and not quiet is either kind or quiet.
If someone is both calm and rich then someone is both not old and tall and vice versa.
Everyone who is old is either not humble or creative and vice versa.
Everyone who is not creative is kind and vice ... | John is not rich. | contradiction | (![X]:((quiet(X)<~>funny(X))=>~humble(X)))&
(![X]:((kind(X)&~quiet(X))=>(kind(X)<~>quiet(X))))&
((?[X]:((calm(X)&rich(X))))<=>(?[X]:((~old(X)&tall(X)))))&
(![X]:(old(X)<=>(~humble(X)<~>creative(X))))&
(![X]:(~creative(X)<=>kind(X)))&
(![X]:((~rich(X)<~>~wise(X))<=>~wise(X)))&
((?[X]:((curious(X)<~>humble(X))))=>(?[X]:(... | ~rich(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3559893448189545654867417
% SZS output start Proof for 3559893448189545654867417
6. ! [X0] : ((~rich(X0) <~> ~wise(X0)) <=> ~wise(X0)) [input p5]
25. ~rich(john) [input hypothesis]
52. ! [X0] : ((((wise(X0) | rich(X0)) & (~wise(X0) | ~rich(X0))) | wise(X0)) & (~wise(X0) | ((~rich(X0) | wi... | 0 |
Everyone who is creative is not humble and vice versa.
Everyone who is both humble and not calm is not rich and vice versa.
If someone is wise then mary is both generous and curious and vice versa.
Everyone who is both happy and not creative is both not happy and not quiet.
If someone is either not brave or not rich th... | Mary is old. | neutral | (![X]:(creative(X)<=>~humble(X)))&
(![X]:((humble(X)&~calm(X))<=>~rich(X)))&
((?[X]:(wise(X)))<=>((generous(mary)&curious(mary))))&
(![X]:((happy(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(?[X]:((brave(X)<~>old(X)))))&
(((calm(fred)<~>~wise(fred)))=>((quiet(lucy)|brave(lucy))))&
(![X... | old(mary) | [] | null | 0 |
Everyone who is both not calm and patient is not patient and vice versa. Everyone who is either wise or not kind is either not wise or kind and vice versa. Everyone who is not happy is brave and vice versa. If someone is not tall or quiet then susan is quiet and vice versa. Everyone who is either not generous or creati... | Alice is not calm. | contradiction | (![X]:((~calm(X)&patient(X))<=>~patient(X)))&
(![X]:((wise(X)<~>~kind(X))<=>(~wise(X)<~>kind(X))))&
(![X]:(~happy(X)<=>brave(X)))&
((?[X]:((~tall(X)|quiet(X))))<=>(quiet(susan)))&
(![X]:((~generous(X)<~>creative(X))<=>(rich(X)<~>~quiet(X))))&
(((tall(fred)<~>brave(fred)))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:(creative(... | ~calm(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4681385380458227571344519
% SZS output start Proof for 4681385380458227571344519
1. ! [X0] : ((patient(X0) & ~calm(X0)) <=> ~patient(X0)) [input p0]
23. ~calm(alice) [input hypothesis]
36. ! [X0] : (((patient(X0) & ~calm(X0)) | patient(X0)) & (~patient(X0) | (~patient(X0) | calm(X0)))) [n... | 0 |
If paul is not generous or funny then paul is either not brave or brave and vice versa.
Everyone who is both not wise and not strong is both not happy and not generous and vice versa.
Everyone who is not creative or calm is both not kind and creative.
Everyone who is either not kind or not happy is either not generous ... | Paul is not wise. | entailment | (((~generous(paul)|funny(paul)))<=>((~brave(paul)<~>brave(paul))))&
(![X]:((~wise(X)&~strong(X))<=>(~happy(X)&~generous(X))))&
(![X]:((~creative(X)|calm(X))=>(~kind(X)&creative(X))))&
(![X]:((~kind(X)<~>~happy(X))=>(~generous(X)<~>~brave(X))))&
((calm(paul))<=>((wise(fred)|~wise(fred))))&
(![X]:(~funny(X)<=>(wise(X)|~c... | ~wise(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5014127906487609127524924
% SZS output start Proof for 5014127906487609127524924
1. (funny(paul) | ~generous(paul)) <=> (~brave(paul) <~> brave(paul)) [input p0]
2. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> (~generous(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((calm(X0) | ~creative(X0)) => ... | 0 |
If someone is brave then fred is either not brave or humble.
Everyone who is either funny or tall is both not quiet and not old and vice versa.
If someone is tall or quiet then paul is either not tall or funny and vice versa.
Everyone who is both kind and not quiet is not happy.
Everyone who is either curious or quiet ... | Mary is funny. | entailment | ((?[X]:(brave(X)))=>((~brave(fred)<~>humble(fred))))&
(![X]:((funny(X)<~>tall(X))<=>(~quiet(X)&~old(X))))&
((?[X]:((tall(X)|quiet(X))))<=>((~tall(paul)<~>funny(paul))))&
(![X]:((kind(X)&~quiet(X))=>~happy(X)))&
(![X]:((curious(X)<~>quiet(X))=>(wise(X)&~brave(X))))&
(![X]:((~happy(X)|patient(X))<=>(~curious(X)|~generous... | funny(mary) | [
"p1",
"p4",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2707383820211865527678752
% SZS output start Proof for 2707383820211865527678752
2. ! [X0] : ((funny(X0) <~> tall(X0)) <=> (~old(X0) & ~quiet(X0))) [input p1]
5. ! [X0] : ((curious(X0) <~> quiet(X0)) => (~brave(X0) & wise(X0))) [input p4]
15. ! [X0] : ((~curious(X0) | ~happy(X0)) => (brav... | 0 |
Everyone who is curious or funny is either not patient or creative.
If fred is not happy or calm then someone is either curious or generous.
If alice is either patient or not tall then susan is humble or brave.
Everyone who is not tall is patient and vice versa.
If someone is either not humble or funny then someone is ... | Susan is kind. | contradiction | (![X]:((curious(X)|funny(X))=>(~patient(X)<~>creative(X))))&
(((~happy(fred)|calm(fred)))=>(?[X]:((curious(X)<~>generous(X)))))&
(((patient(alice)<~>~tall(alice)))=>((humble(susan)|brave(susan))))&
(![X]:(~tall(X)<=>patient(X)))&
((?[X]:((~humble(X)<~>funny(X))))=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:(~calm(X)<=>(~... | kind(susan) | [
"p0",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1335938725733879985505695
% SZS output start Proof for 1335938725733879985505695
1. ! [X0] : ((funny(X0) | curious(X0)) => (~patient(X0) <~> creative(X0))) [input p0]
7. ! [X0] : (~creative(X0) <=> (~happy(X0) & generous(X0))) [input p6]
8. ! [X0] : ((creative(X0) & funny(X0)) <=> ~curiou... | 0 |
If paul is either not calm or creative then someone is both funny and humble.
If fred is both not rich and not creative then someone is both not generous and old and vice versa.
Everyone who is either not tall or not rich is creative and vice versa.
If fred is either brave or rich then fred is both quiet and patient an... | Paul is wise. | contradiction | (((~calm(paul)<~>creative(paul)))=>(?[X]:((funny(X)&humble(X)))))&
(((~rich(fred)&~creative(fred)))<=>(?[X]:((~generous(X)&old(X)))))&
(![X]:((~tall(X)<~>~rich(X))<=>creative(X)))&
(((brave(fred)<~>rich(fred)))<=>((quiet(fred)&patient(fred))))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|kind(X)))))&
((?[X]:((~old(X)&~t... | wise(paul) | [
"p2",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2754817152685970646157612
% SZS output start Proof for 2754817152685970646157612
3. ! [X0] : ((~tall(X0) <~> ~rich(X0)) <=> creative(X0)) [input p2]
12. ! [X0] : ((~funny(X0) | wise(X0)) => (kind(X0) <~> tall(X0))) [input p11]
14. ! [X0] : ((creative(X0) | rich(X0)) => (creative(X0) & ~br... | 0 |
If someone is both not patient and not calm then someone is both happy and tall and vice versa. Everyone who is old or not kind is not patient. Everyone who is both kind and old is both creative and calm. If someone is generous or patient then fred is either not old or wise and vice versa. Everyone who is both not old ... | Alice is generous. | contradiction | ((?[X]:((~patient(X)&~calm(X))))<=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((old(X)|~kind(X))=>~patient(X)))&
(![X]:((kind(X)&old(X))=>(creative(X)&calm(X))))&
((?[X]:((generous(X)|patient(X))))<=>((~old(fred)<~>wise(fred))))&
(![X]:((~old(X)&strong(X))=>(happy(X)<~>~creative(X))))&
((~old(paul))=>(?[X]:((wise(X)&~tall(X))... | generous(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3478384967388428948460945
% SZS output start Proof for 3478384967388428948460945
23. ~generous(alice) & strong(alice) [input p22]
25. generous(alice) [input hypothesis]
135. ~generous(alice) [cnf transformation 23]
137. generous(alice) [cnf transformation 25]
296. 34 <=> generous(alice) [... | 0 |
If mary is humble or not curious then mary is not calm or quiet. If someone is old or not creative then susan is not brave and vice versa. Everyone who is either generous or not generous is either not funny or not happy. Everyone who is either patient or quiet is either patient or not quiet. If paul is not calm then so... | Susan is brave. | contradiction | (((humble(mary)|~curious(mary)))=>((~calm(mary)|quiet(mary))))&
((?[X]:((old(X)|~creative(X))))<=>(~brave(susan)))&
(![X]:((generous(X)<~>~generous(X))=>(~funny(X)<~>~happy(X))))&
(![X]:((patient(X)<~>quiet(X))=>(patient(X)<~>~quiet(X))))&
((~calm(paul))=>(?[X]:(~rich(X))))&
(((~happy(paul)<~>patient(paul)))=>(?[X]:((g... | brave(susan) | [
"p2",
"p7",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 388781824678904118361661
% SZS output start Proof for 388781824678904118361661
3. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (~funny(X0) <~> ~happy(X0))) [input p2]
8. (brave(susan) | patient(susan)) => brave(lucy) [input p7]
22. funny(lucy) [input p21]
24. happy(lucy) | ~brave(lucy) [... | 0 |
If susan is both not generous and not strong then susan is patient and vice versa.
If someone is either not humble or not patient then someone is both not rich and not tall and vice versa.
If fred is curious or not strong then someone is both not old and not generous.
If someone is both not creative and not funny then ... | Susan is generous. | neutral | (((~generous(susan)&~strong(susan)))<=>(patient(susan)))&
((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:((~rich(X)&~tall(X)))))&
(((curious(fred)|~strong(fred)))=>(?[X]:((~old(X)&~generous(X)))))&
((?[X]:((~creative(X)&~funny(X))))=>((kind(paul)<~>happy(paul))))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:(quiet(X))))&
(((g... | generous(susan) | [] | null | 0 |
Everyone who is funny is rich or calm and vice versa.
If mary is both quiet and not tall then someone is kind and vice versa.
Everyone who is creative is not tall or not rich and vice versa.
If mary is quiet or funny then john is creative.
If fred is curious or not kind then someone is both not old and kind.
If someone... | John is not wise. | neutral | (![X]:(funny(X)<=>(rich(X)|calm(X))))&
(((quiet(mary)&~tall(mary)))<=>(?[X]:(kind(X))))&
(![X]:(creative(X)<=>(~tall(X)|~rich(X))))&
(((quiet(mary)|funny(mary)))=>(creative(john)))&
(((curious(fred)|~kind(fred)))=>(?[X]:((~old(X)&kind(X)))))&
((?[X]:((calm(X)|generous(X))))<=>((rich(alice)<~>~brave(alice))))&
(![X]:((q... | ~wise(john) | [] | null | 0 |
Everyone who is either not brave or strong is not creative or brave. Everyone who is creative or wise is patient. Everyone who is not quiet or not patient is calm. Everyone who is funny is brave. If susan is both not rich and old then someone is both not creative and calm and vice versa. Everyone who is both not tall a... | Fred is not patient. | contradiction | (![X]:((~brave(X)<~>strong(X))=>(~creative(X)|brave(X))))&
(![X]:((creative(X)|wise(X))=>patient(X)))&
(![X]:((~quiet(X)|~patient(X))=>calm(X)))&
(![X]:(funny(X)=>brave(X)))&
(((~rich(susan)&old(susan)))<=>(?[X]:((~creative(X)&calm(X)))))&
(![X]:((~tall(X)&~generous(X))=>(tall(X)<~>rich(X))))&
(![X]:((rich(X)<~>old(X))... | ~patient(fred) | [
"p1",
"p2",
"p4",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3738973643846930376330893
% SZS output start Proof for 3738973643846930376330893
2. ! [X0] : ((wise(X0) | creative(X0)) => patient(X0)) [input p1]
3. ! [X0] : ((~patient(X0) | ~quiet(X0)) => calm(X0)) [input p2]
5. (old(susan) & ~rich(susan)) <=> ? [X0] : (calm(X0) & ~creative(X0)) [input... | 0 |
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and... | Susan is not kind. | entailment | ((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~qui... | ~kind(susan) | [
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3862897711285468772260969
% SZS output start Proof for 3862897711285468772260969
2. ! [X0] : (~generous(X0) => ~wise(X0)) [input p1]
8. ? [X0] : (~happy(X0) | kind(X0)) <=> ? [X0] : (~humble(X0) & ~generous(X0)) [input p7]
11. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~humble(X0) & ~wise... | 0 |
If someone is both not quiet and not wise then fred is both not funny and curious. Everyone who is both kind and not old is both not kind and not wise. Everyone who is either tall or kind is not creative or patient. Everyone who is brave or generous is both not rich and not humble. Everyone who is not patient or patien... | Mary is not creative. | neutral | ((?[X]:((~quiet(X)&~wise(X))))=>((~funny(fred)&curious(fred))))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&~wise(X))))&
(![X]:((tall(X)<~>kind(X))=>(~creative(X)|patient(X))))&
(![X]:((brave(X)|generous(X))=>(~rich(X)&~humble(X))))&
(![X]:((~patient(X)|patient(X))=>(humble(X)&patient(X))))&
(![X]:((~curious(X)&~strong(X))=>(... | ~creative(mary) | [] | null | 0 |
Everyone who is kind is creative. Everyone who is not rich is not calm or not patient and vice versa. Everyone who is not curious is either kind or not creative and vice versa. If john is either not generous or not curious then someone is either generous or rich and vice versa. If alice is both calm and not quiet then ... | Susan is not humble. | neutral | (![X]:(kind(X)=>creative(X)))&
(![X]:(~rich(X)<=>(~calm(X)|~patient(X))))&
(![X]:(~curious(X)<=>(kind(X)<~>~creative(X))))&
(((~generous(john)<~>~curious(john)))<=>(?[X]:((generous(X)<~>rich(X)))))&
(((calm(alice)&~quiet(alice)))=>((~kind(alice)&~rich(alice))))&
(![X]:((happy(X)&humble(X))<=>(~happy(X)|brave(X))))&
(![... | ~humble(susan) | [] | null | 0 |
Everyone who is rich is both calm and not calm and vice versa.
If mary is kind then mary is either not happy or not quiet and vice versa.
Everyone who is both kind and not rich is both not quiet and brave.
Everyone who is not calm is creative or rich.
Everyone who is either not rich or quiet is either old or not old an... | Paul is quiet. | contradiction | (![X]:(rich(X)<=>(calm(X)&~calm(X))))&
((kind(mary))<=>((~happy(mary)<~>~quiet(mary))))&
(![X]:((kind(X)&~rich(X))=>(~quiet(X)&brave(X))))&
(![X]:(~calm(X)=>(creative(X)|rich(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(old(X)<~>~old(X))))&
(![X]:((tall(X)&kind(X))=>(patient(X)&~generous(X))))&
(((~strong(susan)<~>~humble(su... | quiet(paul) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 544133309247020266918512
% SZS output start Proof for 544133309247020266918512
1. ! [X0] : (rich(X0) <=> (~calm(X0) & calm(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> quiet(X0)) <=> (old(X0) <~> ~old(X0))) [input p4]
25. quiet(paul) [input hypothesis]
40. ! [X0] : ((rich(X0) | (calm(X0) ... | 0 |
Everyone who is both not calm and old is not old and vice versa.
If someone is both not humble and not generous then someone is both not kind and generous.
If someone is creative or calm then someone is strong or brave.
If susan is both not rich and not brave then fred is funny.
Everyone who is either creative or old i... | John is old. | entailment | (![X]:((~calm(X)&old(X))<=>~old(X)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~kind(X)&generous(X)))))&
((?[X]:((creative(X)|calm(X))))=>(?[X]:((strong(X)|brave(X)))))&
(((~rich(susan)&~brave(susan)))=>(funny(fred)))&
(![X]:((creative(X)<~>old(X))<=>(~generous(X)<~>~creative(X))))&
((~creative(susan))=>(?[X]:((cre... | old(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 63470661944701664056311
% SZS output start Proof for 63470661944701664056311
1. ! [X0] : ((old(X0) & ~calm(X0)) <=> ~old(X0)) [input p0]
21. ~old(john) [input hypothesis]
33. ! [X0] : (((old(X0) & ~calm(X0)) | old(X0)) & (~old(X0) | (~old(X0) | calm(X0)))) [nnf transformation 1]
34. ! [X0... | 0 |
If mary is both creative and not brave then someone is either not tall or humble. If lucy is either not patient or calm then someone is funny and vice versa. Everyone who is creative or quiet is either old or tall and vice versa. Everyone who is both not tall and not calm is generous and vice versa. Everyone who is not... | Mary is not happy. | neutral | (((creative(mary)&~brave(mary)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(![X]... | ~happy(mary) | [] | null | 0 |
If someone is both not old and not humble then paul is rich. Everyone who is curious or not kind is calm or not calm. Everyone who is not kind is either not quiet or funny and vice versa. Everyone who is either not creative or not kind is both creative and generous. Everyone who is not generous is rich and vice versa. ... | Paul is not old. | contradiction | ((?[X]:((~old(X)&~humble(X))))=>(rich(paul)))&
(![X]:((curious(X)|~kind(X))=>(calm(X)|~calm(X))))&
(![X]:(~kind(X)<=>(~quiet(X)<~>funny(X))))&
(![X]:((~creative(X)<~>~kind(X))=>(creative(X)&generous(X))))&
(![X]:(~generous(X)<=>rich(X)))&
(![X]:((~creative(X)|~quiet(X))<=>(~curious(X)|~generous(X))))&
(![X]:(rich(X)=>(... | ~old(paul) | [
"p4",
"p6",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6712773726430894932661010
% SZS output start Proof for 6712773726430894932661010
5. ! [X0] : (~generous(X0) <=> rich(X0)) [input p4]
7. ! [X0] : (rich(X0) => (calm(X0) <~> rich(X0))) [input p6]
9. ! [X0] : (rich(X0) => calm(X0)) [input p8]
21. generous(paul) <~> ~old(paul) [input p20]
23.... | 0 |
If someone is both old and not kind then someone is rich or happy.
Everyone who is either not calm or happy is not patient or happy and vice versa.
Everyone who is tall or happy is either patient or quiet and vice versa.
If susan is not generous then someone is both rich and brave and vice versa.
Everyone who is both n... | John is kind. | contradiction | ((?[X]:((old(X)&~kind(X))))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((~calm(X)<~>happy(X))<=>(~patient(X)|happy(X))))&
(![X]:((tall(X)|happy(X))<=>(patient(X)<~>quiet(X))))&
((~generous(susan))<=>(?[X]:((rich(X)&brave(X)))))&
(![X]:((~rich(X)&~wise(X))=>(strong(X)<~>~calm(X))))&
(![X]:((tall(X)&humble(X))=>(humble(X)<~>~c... | kind(john) | [
"p1",
"p2",
"p6",
"p7",
"p8",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8286784540377302793846579
% SZS output start Proof for 8286784540377302793846579
2. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (happy(X0) | ~patient(X0))) [input p1]
3. ! [X0] : ((happy(X0) | tall(X0)) <=> (patient(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : ((rich(X0) <~> happy(X0)) => (~cre... | 0 |
Everyone who is either wise or not creative is either curious or kind.
Everyone who is brave is not patient.
If paul is both funny and not old then someone is either not tall or quiet and vice versa.
Everyone who is both funny and wise is quiet or not rich and vice versa.
If someone is either not kind or not tall then ... | Fred is not quiet. | entailment | (![X]:((wise(X)<~>~creative(X))=>(curious(X)<~>kind(X))))&
(![X]:(brave(X)=>~patient(X)))&
(((funny(paul)&~old(paul)))<=>(?[X]:((~tall(X)<~>quiet(X)))))&
(![X]:((funny(X)&wise(X))<=>(quiet(X)|~rich(X))))&
((?[X]:((~kind(X)<~>~tall(X))))=>((~curious(fred)&~calm(fred))))&
(![X]:((calm(X)<~>generous(X))=>(funny(X)<~>~rich... | ~quiet(fred) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5732446670745087777836699
% SZS output start Proof for 5732446670745087777836699
4. ! [X0] : ((wise(X0) & funny(X0)) <=> (~rich(X0) | quiet(X0))) [input p3]
20. ~wise(fred) [input p19]
24. quiet(fred) [input hypothesis]
45. ! [X0] : (((wise(X0) & funny(X0)) | (rich(X0) & ~quiet(X0))) & ((... | 0 |
If someone is tall or quiet then someone is either generous or happy and vice versa. Everyone who is not quiet or rich is not creative and vice versa. If john is quiet then paul is either rich or not funny and vice versa. Everyone who is either not happy or not quiet is both creative and not generous. Everyone who is b... | Fred is not quiet. | contradiction | ((?[X]:((tall(X)|quiet(X))))<=>(?[X]:((generous(X)<~>happy(X)))))&
(![X]:((~quiet(X)|rich(X))<=>~creative(X)))&
((quiet(john))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~happy(X)<~>~quiet(X))=>(creative(X)&~generous(X))))&
(![X]:((creative(X)&~curious(X))=>(~tall(X)&~old(X))))&
(![X]:(~generous(X)<=>(~happy(X)&~funny(X... | ~quiet(fred) | [
"p1",
"p3",
"p6",
"p7",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4401489236808027640618877
% SZS output start Proof for 4401489236808027640618877
2. ! [X0] : ((rich(X0) | ~quiet(X0)) <=> ~creative(X0)) [input p1]
4. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) => (~generous(X0) & creative(X0))) [input p3]
7. ! [X0] : (rich(X0) <=> (strong(X0) | kind(X0))) [in... | 0 |
Everyone who is creative is either not curious or creative.
If someone is curious or not wise then someone is calm or patient.
Everyone who is generous is not rich.
Everyone who is either not humble or generous is creative or not old and vice versa.
Everyone who is funny or brave is either not quiet or funny.
Everyone ... | Paul is happy. | neutral | (![X]:(creative(X)=>(~curious(X)<~>creative(X))))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:((calm(X)|patient(X)))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:((~humble(X)<~>generous(X))<=>(creative(X)|~old(X))))&
(![X]:((funny(X)|brave(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>curious(X)))&
(((curiou... | happy(paul) | [] | null | 0 |
Everyone who is both wise and kind is both curious and humble and vice versa.
Everyone who is not funny is not calm and vice versa.
If paul is either not brave or kind then paul is both not old and not funny.
Everyone who is not rich is tall or not wise.
If someone is funny or brave then someone is strong.
Everyone who... | John is funny. | entailment | (![X]:((wise(X)&kind(X))<=>(curious(X)&humble(X))))&
(![X]:(~funny(X)<=>~calm(X)))&
(((~brave(paul)<~>kind(paul)))=>((~old(paul)&~funny(paul))))&
(![X]:(~rich(X)=>(tall(X)|~wise(X))))&
((?[X]:((funny(X)|brave(X))))=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)|~humble(X))=>(~patient(X)&~strong(X))))&
(![X]:(~wise(X)=>(wise(X... | funny(john) | [
"p1",
"p5",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3956841190888936689813314
% SZS output start Proof for 3956841190888936689813314
2. ! [X0] : (~funny(X0) <=> ~calm(X0)) [input p1]
6. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (~strong(X0) & ~patient(X0))) [input p5]
9. ! [X0] : (strong(X0) <=> happy(X0)) [input p8]
14. ! [X0] : ((calm(X0) ... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or patient.
If someone is not patient or not calm then someone is both generous and kind.
Everyone who is either tall or rich is not happy.
Everyone who is brave or not funny is not wise or creative and vic... | Mary is not calm. | contradiction | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|patient(X)))))&
((?[X]:((~patient(X)|~calm(X))))=>(?[X]:((generous(X)&kind(X)))))&
(![X]:((tall(X)<~>rich(X))=>~happy(X)))&
(![X]:((brave(X)|~funny(X))<=>(~wise(X)|creative(X))))&
(![X]:(patient(X)=>(strong(X)<~>~old(X))))&
... | ~calm(mary) | [
"p6",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5928995211147404046139822
% SZS output start Proof for 5928995211147404046139822
7. ! [X0] : ((creative(X0) <~> calm(X0)) <=> (~creative(X0) & ~quiet(X0))) [input p6]
12. ! [X0] : (~funny(X0) <=> (quiet(X0) | ~happy(X0))) [input p11]
24. ~funny(mary) <~> ~creative(mary) [input p23]
25. ~c... | 0 |
If lucy is not funny or not curious then someone is either tall or kind.
If susan is old or strong then mary is curious or not wise.
If someone is both brave and creative then someone is not rich or not curious.
If someone is not rich then lucy is either strong or calm and vice versa.
If alice is both not quiet and cur... | Alice is tall. | contradiction | (((~funny(lucy)|~curious(lucy)))=>(?[X]:((tall(X)<~>kind(X)))))&
(((old(susan)|strong(susan)))=>((curious(mary)|~wise(mary))))&
((?[X]:((brave(X)&creative(X))))=>(?[X]:((~rich(X)|~curious(X)))))&
((?[X]:(~rich(X)))<=>((strong(lucy)<~>calm(lucy))))&
(((~quiet(alice)&curious(alice)))=>(?[X]:((~patient(X)&~strong(X)))))&
... | tall(alice) | [
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6830812305576485804586307
% SZS output start Proof for 6830812305576485804586307
8. ! [X0] : (tall(X0) => (old(X0) & rich(X0))) [input p7]
9. ! [X0] : ((~calm(X0) | calm(X0)) => (wise(X0) & brave(X0))) [input p8]
11. ! [X0] : ((creative(X0) & ~patient(X0)) <=> (wise(X0) & old(X0))) [input... | 0 |
Everyone who is either not quiet or strong is either humble or not funny. If alice is either calm or not brave then fred is not brave and vice versa. Everyone who is either not wise or not tall is strong and vice versa. If someone is not rich or not patient then someone is not funny. If john is not calm then someone is... | Mary is not kind. | neutral | (![X]:((~quiet(X)<~>strong(X))=>(humble(X)<~>~funny(X))))&
(((calm(alice)<~>~brave(alice)))<=>(~brave(fred)))&
(![X]:((~wise(X)<~>~tall(X))<=>strong(X)))&
((?[X]:((~rich(X)|~patient(X))))=>(?[X]:(~funny(X))))&
((~calm(john))=>(?[X]:(~kind(X))))&
(![X]:((wise(X)<~>old(X))<=>(~calm(X)<~>~old(X))))&
(![X]:(creative(X)<=>(... | ~kind(mary) | [] | null | 0 |
Everyone who is kind or curious is not kind and vice versa.
Everyone who is not brave or quiet is kind or not calm and vice versa.
Everyone who is either generous or creative is wise.
If john is either rich or not curious then someone is both brave and happy.
If mary is both not generous and wise then someone is not ki... | Mary is not humble. | neutral | (![X]:((kind(X)|curious(X))<=>~kind(X)))&
(![X]:((~brave(X)|quiet(X))<=>(kind(X)|~calm(X))))&
(![X]:((generous(X)<~>creative(X))=>wise(X)))&
(((rich(john)<~>~curious(john)))=>(?[X]:((brave(X)&happy(X)))))&
(((~generous(mary)&wise(mary)))<=>(?[X]:((~kind(X)|~old(X)))))&
(![X]:((~wise(X)|strong(X))<=>(funny(X)&wise(X))))... | ~humble(mary) | [] | null | 0 |
Everyone who is either humble or strong is either not kind or old.
Everyone who is not happy is not old and vice versa.
Everyone who is rich is both old and patient and vice versa.
Everyone who is not patient or patient is not calm or not rich and vice versa.
If lucy is either not wise or quiet then someone is both gen... | Susan is kind. | entailment | (![X]:((humble(X)<~>strong(X))=>(~kind(X)<~>old(X))))&
(![X]:(~happy(X)<=>~old(X)))&
(![X]:(rich(X)<=>(old(X)&patient(X))))&
(![X]:((~patient(X)|patient(X))<=>(~calm(X)|~rich(X))))&
(((~wise(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&curious(X)))))&
(((funny(mary)&~funny(mary)))<=>(funny(lucy)))&
(![X]:(funny(X)=>(~bra... | kind(susan) | [
"p1",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8209248135951305020623591
% SZS output start Proof for 8209248135951305020623591
2. ! [X0] : (~happy(X0) <=> ~old(X0)) [input p1]
10. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (wise(X0) & calm(X0))) [input p9]
12. ! [X0] : (calm(X0) <=> (wise(X0) | ~calm(X0))) [input p11]
15. ! [X0] : ((~qu... | 0 |
If someone is not curious or not humble then paul is either happy or humble.
If someone is either curious or not wise then susan is funny.
Everyone who is humble is not curious or humble.
If paul is both kind and wise then someone is not funny and vice versa.
Everyone who is either generous or not old is generous.
Ever... | Fred is brave. | contradiction | ((?[X]:((~curious(X)|~humble(X))))=>((happy(paul)<~>humble(paul))))&
((?[X]:((curious(X)<~>~wise(X))))=>(funny(susan)))&
(![X]:(humble(X)=>(~curious(X)|humble(X))))&
(((kind(paul)&wise(paul)))<=>(?[X]:(~funny(X))))&
(![X]:((generous(X)<~>~old(X))=>generous(X)))&
(![X]:((~curious(X)&~wise(X))=>(~curious(X)|~generous(X))... | brave(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2098723222764552258200590
% SZS output start Proof for 2098723222764552258200590
8. ! [X0] : (humble(X0) <=> (~humble(X0) <~> ~brave(X0))) [input p7]
24. brave(fred) [input hypothesis]
51. ! [X0] : ((humble(X0) | ((~humble(X0) | brave(X0)) & (~brave(X0) | humble(X0)))) & (((brave(X0) | hu... | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Alice is not brave. | neutral | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | ~brave(alice) | [] | null | 0 |
Everyone who is not strong is not wise or not brave and vice versa.
If someone is either rich or happy then someone is either brave or not patient and vice versa.
If someone is not happy then someone is both generous and not brave and vice versa.
If someone is either brave or curious then someone is not tall.
If mary i... | Fred is rich. | entailment | (![X]:(~strong(X)<=>(~wise(X)|~brave(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(paul))))&
(((funny(lucy)|humble(lucy)))<=>(?[X... | rich(fred) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9053842342718743138773736
% SZS output start Proof for 9053842342718743138773736
8. ! [X0] : (calm(X0) => (~funny(X0) & ~calm(X0))) [input p7]
10. ! [X0] : ((patient(X0) | curious(X0)) <=> (~wise(X0) & calm(X0))) [input p9]
13. ! [X0] : ((rich(X0) <~> ~patient(X0)) => patient(X0)) [input ... | 0 |
Everyone who is either brave or old is both not generous and tall and vice versa. If someone is brave then someone is not patient or patient. If fred is either generous or not strong then mary is not curious or brave. If someone is both calm and not creative then fred is not funny or not strong. Everyone who is not kin... | Alice is not rich. | entailment | (![X]:((brave(X)<~>old(X))<=>(~generous(X)&tall(X))))&
((?[X]:(brave(X)))=>(?[X]:((~patient(X)|patient(X)))))&
(((generous(fred)<~>~strong(fred)))=>((~curious(mary)|brave(mary))))&
((?[X]:((calm(X)&~creative(X))))=>((~funny(fred)|~strong(fred))))&
(![X]:(~kind(X)<=>~funny(X)))&
(((creative(alice)&~rich(alice)))<=>(?[X]... | ~rich(alice) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6897792468959160941802225
% SZS output start Proof for 6897792468959160941802225
1. ! [X0] : ((brave(X0) <~> old(X0)) <=> (tall(X0) & ~generous(X0))) [input p0]
5. ! [X0] : (~kind(X0) <=> ~funny(X0)) [input p4]
6. (~rich(alice) & creative(alice)) <=> ? [X0] : (~old(X0) <~> ~generous(X0)) ... | 0 |
Everyone who is not humble or not brave is both kind and old and vice versa.
Everyone who is both not curious and not old is either brave or not calm and vice versa.
If someone is either not creative or generous then someone is either funny or wise.
If john is calm then fred is both old and creative and vice versa.
If ... | Fred is rich. | neutral | (![X]:((~humble(X)|~brave(X))<=>(kind(X)&old(X))))&
(![X]:((~curious(X)&~old(X))<=>(brave(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>generous(X))))=>(?[X]:((funny(X)<~>wise(X)))))&
((calm(john))<=>((old(fred)&creative(fred))))&
((?[X]:(~brave(X)))=>(?[X]:((~tall(X)<~>~happy(X)))))&
(![X]:((~happy(X)|kind(X))=>(creative(... | rich(fred) | [] | null | 0 |
If someone is not funny then someone is both not patient and funny. Everyone who is both brave and happy is both not quiet and not curious and vice versa. Everyone who is funny is both not kind and not old and vice versa. If lucy is both strong and not old then someone is both funny and not funny and vice versa. If mar... | Fred is not quiet. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((~patient(X)&funny(X)))))&
(![X]:((brave(X)&happy(X))<=>(~quiet(X)&~curious(X))))&
(![X]:(funny(X)<=>(~kind(X)&~old(X))))&
(((strong(lucy)&~old(lucy)))<=>(?[X]:((funny(X)&~funny(X)))))&
(((rich(mary)|~tall(mary)))<=>(brave(fred)))&
(![X]:((brave(X)|~humble(X))=>curious(X)))&
(![X]:((~kind(X)... | ~quiet(fred) | [] | null | 0 |
Everyone who is both not funny and not happy is both not rich and tall and vice versa. Everyone who is humble or curious is both patient and wise and vice versa. Everyone who is either generous or not wise is either strong or funny and vice versa. Everyone who is either not brave or not tall is not brave. If john is ei... | John is not curious. | contradiction | (![X]:((~funny(X)&~happy(X))<=>(~rich(X)&tall(X))))&
(![X]:((humble(X)|curious(X))<=>(patient(X)&wise(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(strong(X)<~>funny(X))))&
(![X]:((~brave(X)<~>~tall(X))=>~brave(X)))&
(((humble(john)<~>quiet(john)))=>((rich(susan)|~old(susan))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)|happ... | ~curious(john) | [
"p3",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3523667688474002946320484
% SZS output start Proof for 3523667688474002946320484
4. ! [X0] : ((~brave(X0) <~> ~tall(X0)) => ~brave(X0)) [input p3]
9. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (rich(X0) & ~old(X0))) [input p8]
10. ! [X0] : (~curious(X0) => (~brave(X0) & ~funny(X0))) [input ... | 0 |
Everyone who is both not kind and not tall is both generous and not happy. Everyone who is curious is humble and vice versa. Everyone who is happy is not curious and vice versa. If alice is both curious and not wise then lucy is either not old or curious and vice versa. If john is not calm or not humble then alice is b... | John is not strong. | neutral | (![X]:((~kind(X)&~tall(X))=>(generous(X)&~happy(X))))&
(![X]:(curious(X)<=>humble(X)))&
(![X]:(happy(X)<=>~curious(X)))&
(((curious(alice)&~wise(alice)))<=>((~old(lucy)<~>curious(lucy))))&
(((~calm(john)|~humble(john)))<=>((~humble(alice)&humble(alice))))&
(![X]:((patient(X)&rich(X))=>(generous(X)&quiet(X))))&
((?[X]:(... | ~strong(john) | [] | null | 0 |
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