premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both curious and not brave then mary is old or patient and vice versa.
Everyone who is both humble and strong is brave.
Everyone who is either not wise or funny is funny or curious and vice versa.
Everyone who is not patient or old is happy or not quiet.
Everyone who is either not creative or rich is both... | Mary is funny. | entailment | ((?[X]:((curious(X)&~brave(X))))<=>((old(mary)|patient(mary))))&
(![X]:((humble(X)&strong(X))=>brave(X)))&
(![X]:((~wise(X)<~>funny(X))<=>(funny(X)|curious(X))))&
(![X]:((~patient(X)|old(X))=>(happy(X)|~quiet(X))))&
(![X]:((~creative(X)<~>rich(X))=>(happy(X)&brave(X))))&
(![X]:((~creative(X)<~>rich(X))=>(~wise(X)&quiet... | funny(mary) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3962505815410388761487659
% SZS output start Proof for 3962505815410388761487659
1. ? [X0] : (~brave(X0) & curious(X0)) <=> (patient(mary) | old(mary)) [input p0]
10. ! [X0] : (~brave(X0) <=> (~curious(X0) <~> brave(X0))) [input p9]
14. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (funny(X0) & ~t... | 0 |
Everyone who is both not brave and not humble is quiet or not tall and vice versa. Everyone who is either not brave or patient is both old and kind and vice versa. Everyone who is not curious is not quiet. Everyone who is not brave or not humble is either patient or not humble and vice versa. Everyone who is happy or n... | Alice is not creative. | contradiction | (![X]:((~brave(X)&~humble(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)&kind(X))))&
(![X]:(~curious(X)=>~quiet(X)))&
(![X]:((~brave(X)|~humble(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((happy(X)|~calm(X))<=>(~wise(X)<~>~old(X))))&
(![X]:((~wise(X)|humble(X))=>happy(X)))&
(![X]:((strong(X)|~gene... | ~creative(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 581507946396223571788207
% SZS output start Proof for 581507946396223571788207
1. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (~tall(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (patien... | 0 |
Everyone who is not funny or kind is either tall or quiet.
If someone is either not curious or funny then someone is strong and vice versa.
Everyone who is either wise or kind is quiet and vice versa.
Everyone who is not happy is not creative and vice versa.
Everyone who is both not curious and not calm is patient.
Eve... | Paul is wise. | entailment | (![X]:((~funny(X)|kind(X))=>(tall(X)<~>quiet(X))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>kind(X))<=>quiet(X)))&
(![X]:(~happy(X)<=>~creative(X)))&
(![X]:((~curious(X)&~calm(X))=>patient(X)))&
(![X]:((~humble(X)|quiet(X))=>(~humble(X)&~happy(X))))&
(![X]:((tall(X)<~>patient(X))<=>(... | wise(paul) | [
"p0",
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2058992263661926245885959
% SZS output start Proof for 2058992263661926245885959
1. ! [X0] : ((kind(X0) | ~funny(X0)) => (tall(X0) <~> quiet(X0))) [input p0]
3. ! [X0] : ((wise(X0) <~> kind(X0)) <=> quiet(X0)) [input p2]
7. ! [X0] : ((tall(X0) <~> patient(X0)) <=> (tall(X0) | ~patient(X0)... | 0 |
Everyone who is either not wise or not creative is either not funny or not tall.
If someone is either not tall or not humble then someone is either not kind or funny.
If someone is happy or brave then someone is old or funny and vice versa.
Everyone who is curious is not brave or strong.
If someone is not wise or funny... | Lucy is not happy. | entailment | (![X]:((~wise(X)<~>~creative(X))=>(~funny(X)<~>~tall(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:((~kind(X)<~>funny(X)))))&
((?[X]:((happy(X)|brave(X))))<=>(?[X]:((old(X)|funny(X)))))&
(![X]:(curious(X)=>(~brave(X)|strong(X))))&
((?[X]:((~wise(X)|funny(X))))<=>((old(mary)&tall(mary))))&
((?[X]:(~old(X)))=>((~genero... | ~happy(lucy) | [
"p2",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1287249305269360194841876
% SZS output start Proof for 1287249305269360194841876
3. ? [X0] : (brave(X0) | happy(X0)) <=> ? [X0] : (funny(X0) | old(X0)) [input p2]
5. ? [X0] : (funny(X0) | ~wise(X0)) <=> (tall(mary) & old(mary)) [input p4]
8. ! [X0] : ((strong(X0) | wise(X0)) => (~wise(X0)... | 0 |
If someone is either quiet or not generous then susan is either creative or not tall and vice versa.
Everyone who is creative is both not patient and not curious and vice versa.
If someone is humble then someone is both not happy and not tall.
If someone is not strong or not humble then someone is either not curious or... | John is tall. | neutral | ((?[X]:((quiet(X)<~>~generous(X))))<=>((creative(susan)<~>~tall(susan))))&
(![X]:(creative(X)<=>(~patient(X)&~curious(X))))&
((?[X]:(humble(X)))=>(?[X]:((~happy(X)&~tall(X)))))&
((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~curious(X)<~>~patient(X)))))&
(![X]:(strong(X)=>(~curious(X)<~>brave(X))))&
(((tall(john)&~brave(j... | tall(john) | [] | null | 0 |
If someone is calm or old then alice is either patient or brave and vice versa.
Everyone who is creative is either not tall or old.
Everyone who is both kind and not funny is not kind or strong and vice versa.
Everyone who is wise or not strong is both creative and not quiet and vice versa.
If susan is both not wise an... | John is generous. | neutral | ((?[X]:((calm(X)|old(X))))<=>((patient(alice)<~>brave(alice))))&
(![X]:(creative(X)=>(~tall(X)<~>old(X))))&
(![X]:((kind(X)&~funny(X))<=>(~kind(X)|strong(X))))&
(![X]:((wise(X)|~strong(X))<=>(creative(X)&~quiet(X))))&
(((~wise(susan)&wise(susan)))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:(strong(X)=>(~old(X)|rich(X))... | generous(john) | [] | null | 0 |
Everyone who is not calm is both funny and brave and vice versa.
Everyone who is either strong or happy is not strong or calm.
If someone is not brave then mary is either wise or not happy.
Everyone who is either rich or not strong is quiet.
If someone is not wise then someone is either funny or not funny.
Everyone who... | Mary is wise. | contradiction | (![X]:(~calm(X)<=>(funny(X)&brave(X))))&
(![X]:((strong(X)<~>happy(X))=>(~strong(X)|calm(X))))&
((?[X]:(~brave(X)))=>((wise(mary)<~>~happy(mary))))&
(![X]:((rich(X)<~>~strong(X))=>quiet(X)))&
((?[X]:(~wise(X)))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:(~old(X)<=>quiet(X)))&
(((wise(lucy)|creative(lucy)))=>(~rich(lucy))... | wise(mary) | [
"p2",
"p5",
"p10",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8775846480567644089851961
% SZS output start Proof for 8775846480567644089851961
3. ? [X0] : ~brave(X0) => (wise(mary) <~> ~happy(mary)) [input p2]
6. ! [X0] : (~old(X0) <=> quiet(X0)) [input p5]
11. ! [X0] : (~quiet(X0) <=> (old(X0) <~> strong(X0))) [input p10]
14. ? [X0] : (generous(X0)... | 0 |
Everyone who is either humble or quiet is funny or not creative. Everyone who is happy or not tall is not generous and vice versa. Everyone who is either generous or happy is both wise and not patient. If alice is tall then alice is either not calm or strong. Everyone who is either happy or funny is either happy or pat... | Fred is generous. | contradiction | (![X]:((humble(X)<~>quiet(X))=>(funny(X)|~creative(X))))&
(![X]:((happy(X)|~tall(X))<=>~generous(X)))&
(![X]:((generous(X)<~>happy(X))=>(wise(X)&~patient(X))))&
((tall(alice))=>((~calm(alice)<~>strong(alice))))&
(![X]:((happy(X)<~>funny(X))=>(happy(X)<~>patient(X))))&
(![X]:((~strong(X)&calm(X))=>(~kind(X)|humble(X))))... | generous(fred) | [
"p1",
"p2",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 451231281314308719542983
% SZS output start Proof for 451231281314308719542983
2. ! [X0] : ((~tall(X0) | happy(X0)) <=> ~generous(X0)) [input p1]
3. ! [X0] : ((generous(X0) <~> happy(X0)) => (~patient(X0) & wise(X0))) [input p2]
5. ! [X0] : ((happy(X0) <~> funny(X0)) => (happy(X0) <~> pat... | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If fred is either not creative or curious then john is not brave and vice versa.
Everyone who is both happy and calm is either wise or not brave.
If susan is both wise and calm then someone is not funny and vice versa.
Everyone who is both ... | Alice is not humble. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((~creative(fred)<~>curious(fred)))<=>(~brave(john)))&
(![X]:((happy(X)&calm(X))=>(wise(X)<~>~brave(X))))&
(((wise(susan)&calm(susan)))<=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~quiet(X))=>(funny(X)&~calm(X))))&
(![X]:((~generous(X)&~funny(X))=>(quiet(X)<~>~quiet(X... | ~humble(alice) | [] | null | 0 |
Everyone who is both creative and not funny is both not happy and not rich. Everyone who is humble is both not generous and creative. If paul is both not curious and wise then someone is curious or quiet. Everyone who is kind or old is kind or calm. Everyone who is wise or generous is strong and vice versa. If alice is... | Alice is not patient. | neutral | (![X]:((creative(X)&~funny(X))=>(~happy(X)&~rich(X))))&
(![X]:(humble(X)=>(~generous(X)&creative(X))))&
(((~curious(paul)&wise(paul)))=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((kind(X)|old(X))=>(kind(X)|calm(X))))&
(![X]:((wise(X)|generous(X))<=>strong(X)))&
(((~old(alice)&~wise(alice)))=>(?[X]:(~old(X))))&
(((calm(mar... | ~patient(alice) | [] | null | 0 |
Everyone who is both not happy and calm is both brave and not strong and vice versa. Everyone who is not rich or not funny is either brave or old and vice versa. Everyone who is either rich or not creative is either generous or not brave and vice versa. Everyone who is curious is either not funny or rich. Everyone who ... | John is not curious. | entailment | (![X]:((~happy(X)&calm(X))<=>(brave(X)&~strong(X))))&
(![X]:((~rich(X)|~funny(X))<=>(brave(X)<~>old(X))))&
(![X]:((rich(X)<~>~creative(X))<=>(generous(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~funny(X)<~>rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~happy(X)&quiet(X))))&
(![X]:((generous(X)&~patient(X))<=>(humble(X)|st... | ~curious(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 563177165143460646012037
% SZS output start Proof for 563177165143460646012037
5. ! [X0] : ((~strong(X0) | ~curious(X0)) <=> (quiet(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((~patient(X0) & generous(X0)) <=> (strong(X0) | humble(X0))) [input p5]
8. ! [X0] : ((rich(X0) & strong(X0)) => (~... | 0 |
Everyone who is quiet is patient or curious and vice versa. Everyone who is either patient or kind is both not funny and wise and vice versa. Everyone who is generous or not calm is not wise and vice versa. Everyone who is quiet or brave is both funny and not tall. Everyone who is either brave or kind is not wise. If s... | Paul is not funny. | contradiction | (![X]:(quiet(X)<=>(patient(X)|curious(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~funny(X)&wise(X))))&
(![X]:((generous(X)|~calm(X))<=>~wise(X)))&
(![X]:((quiet(X)|brave(X))=>(funny(X)&~tall(X))))&
(![X]:((brave(X)<~>kind(X))=>~wise(X)))&
((?[X]:((brave(X)|~generous(X))))<=>(?[X]:((kind(X)&humble(X)))))&
((?[X]:(happy(X))... | ~funny(paul) | [
"p0",
"p1",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6835466122922280941620249
% SZS output start Proof for 6835466122922280941620249
1. ! [X0] : (quiet(X0) <=> (curious(X0) | patient(X0))) [input p0]
2. ! [X0] : ((patient(X0) <~> kind(X0)) <=> (wise(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((brave(X0) | quiet(X0)) => (~tall(X0) & funny(X0... | 0 |
Everyone who is either old or funny is either strong or rich.
Everyone who is quiet is curious or kind.
Everyone who is both not kind and brave is not quiet or patient and vice versa.
Everyone who is not old is not wise and vice versa.
If fred is both not patient and wise then lucy is not happy or generous.
If someone ... | Fred is wise. | neutral | (![X]:((old(X)<~>funny(X))=>(strong(X)<~>rich(X))))&
(![X]:(quiet(X)=>(curious(X)|kind(X))))&
(![X]:((~kind(X)&brave(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~old(X)<=>~wise(X)))&
(((~patient(fred)&wise(fred)))=>((~happy(lucy)|generous(lucy))))&
((?[X]:((creative(X)<~>~calm(X))))<=>((rich(john)|calm(john))))&
(![X]:(gene... | wise(fred) | [] | null | 0 |
If fred is not creative or not patient then someone is either not creative or not funny and vice versa.
Everyone who is not quiet is not rich or brave and vice versa.
If mary is brave or not strong then someone is both not creative and not humble.
Everyone who is either not patient or tall is old and vice versa.
If som... | Fred is not patient. | entailment | (((~creative(fred)|~patient(fred)))<=>(?[X]:((~creative(X)<~>~funny(X)))))&
(![X]:(~quiet(X)<=>(~rich(X)|brave(X))))&
(((brave(mary)|~strong(mary)))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~patient(X)<~>tall(X))<=>old(X)))&
((?[X]:((~curious(X)<~>kind(X))))<=>(?[X]:((humble(X)|~tall(X)))))&
(![X]:((creative(X)&pa... | ~patient(fred) | [
"p3",
"p7",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1050864153465911606761929
% SZS output start Proof for 1050864153465911606761929
4. ! [X0] : ((~patient(X0) <~> tall(X0)) <=> old(X0)) [input p3]
8. ! [X0] : (kind(X0) <=> (~creative(X0) | patient(X0))) [input p7]
9. ! [X0] : (brave(X0) => (~old(X0) <~> ~tall(X0))) [input p8]
18. brave(fr... | 0 |
If lucy is both old and funny then someone is not tall or not brave.
Everyone who is both calm and not funny is generous or patient.
Everyone who is either not rich or tall is either quiet or calm and vice versa.
Everyone who is not rich is not kind and vice versa.
If someone is not happy then someone is old.
If someon... | Lucy is generous. | neutral | (((old(lucy)&funny(lucy)))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((calm(X)&~funny(X))=>(generous(X)|patient(X))))&
(![X]:((~rich(X)<~>tall(X))<=>(quiet(X)<~>calm(X))))&
(![X]:(~rich(X)<=>~kind(X)))&
((?[X]:(~happy(X)))=>(?[X]:(old(X))))&
((?[X]:((strong(X)&~patient(X))))=>((rich(paul)|~wise(paul))))&
((?[X]:(~happy(X)... | generous(lucy) | [] | null | 0 |
If someone is both not creative and tall then someone is not generous or rich and vice versa.
If someone is either not tall or not patient then someone is not funny.
If lucy is not kind then john is both funny and not strong and vice versa.
Everyone who is tall is brave or not generous and vice versa.
Everyone who is e... | Lucy is not generous. | contradiction | ((?[X]:((~creative(X)&tall(X))))<=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((~tall(X)<~>~patient(X))))=>(?[X]:(~funny(X))))&
((~kind(lucy))<=>((funny(john)&~strong(john))))&
(![X]:(tall(X)<=>(brave(X)|~generous(X))))&
(![X]:((curious(X)<~>rich(X))<=>(~wise(X)|~tall(X))))&
(((~tall(john)&funny(john)))<=>(?[X]:(~tall(X)... | ~generous(lucy) | [
"p3",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6531177541343389470175421
% SZS output start Proof for 6531177541343389470175421
4. ! [X0] : (tall(X0) <=> (~generous(X0) | brave(X0))) [input p3]
13. ! [X0] : ((calm(X0) | ~brave(X0)) => (wise(X0) & old(X0))) [input p12]
15. ! [X0] : (old(X0) <=> (generous(X0) & ~tall(X0))) [input p14]
1... | 0 |
Everyone who is both wise and not creative is patient and vice versa.
If someone is not old then susan is calm or curious and vice versa.
If someone is old then lucy is both not calm and not generous.
Everyone who is either kind or generous is not creative or not calm and vice versa.
Everyone who is either not quiet or... | Lucy is not old. | entailment | (![X]:((wise(X)&~creative(X))<=>patient(X)))&
((?[X]:(~old(X)))<=>((calm(susan)|curious(susan))))&
((?[X]:(old(X)))=>((~calm(lucy)&~generous(lucy))))&
(![X]:((kind(X)<~>generous(X))<=>(~creative(X)|~calm(X))))&
(![X]:((~quiet(X)<~>old(X))=>~wise(X)))&
(![X]:(~creative(X)<=>(~kind(X)<~>~generous(X))))&
((?[X]:(~strong(X... | ~old(lucy) | [
"p2",
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5722591932922322732858619
% SZS output start Proof for 5722591932922322732858619
3. ? [X0] : old(X0) => (~generous(lucy) & ~calm(lucy)) [input p2]
4. ! [X0] : ((kind(X0) <~> generous(X0)) <=> (~calm(X0) | ~creative(X0))) [input p3]
6. ! [X0] : (~creative(X0) <=> (~kind(X0) <~> ~generous(X... | 0 |
If mary is quiet then alice is both tall and quiet and vice versa.
Everyone who is not rich is either curious or not rich and vice versa.
If mary is not quiet or patient then lucy is strong or not old and vice versa.
Everyone who is not creative is not generous and vice versa.
Everyone who is either not rich or not kin... | Susan is not calm. | neutral | ((quiet(mary))<=>((tall(alice)&quiet(alice))))&
(![X]:(~rich(X)<=>(curious(X)<~>~rich(X))))&
(((~quiet(mary)|patient(mary)))<=>((strong(lucy)|~old(lucy))))&
(![X]:(~creative(X)<=>~generous(X)))&
(![X]:((~rich(X)<~>~kind(X))<=>~kind(X)))&
((patient(susan))<=>((old(susan)|patient(susan))))&
(![X]:((~brave(X)&~strong(X))<... | ~calm(susan) | [] | null | 0 |
Everyone who is either not old or calm is either not patient or not strong and vice versa. Everyone who is tall or calm is both patient and calm. If someone is not curious or tall then someone is kind or quiet. Everyone who is tall or not rich is both not old and not curious. Everyone who is either brave or not patient... | Lucy is not old. | entailment | (![X]:((~old(X)<~>calm(X))<=>(~patient(X)<~>~strong(X))))&
(![X]:((tall(X)|calm(X))=>(patient(X)&calm(X))))&
((?[X]:((~curious(X)|tall(X))))=>(?[X]:((kind(X)|quiet(X)))))&
(![X]:((tall(X)|~rich(X))=>(~old(X)&~curious(X))))&
(![X]:((brave(X)<~>~patient(X))<=>(~old(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(~creative(X)|... | ~old(lucy) | [
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 76487473846516293852037
% SZS output start Proof for 76487473846516293852037
4. ! [X0] : ((~rich(X0) | tall(X0)) => (~curious(X0) & ~old(X0))) [input p3]
7. ? [X0] : (~brave(X0) | generous(X0)) => ~rich(lucy) [input p6]
11. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (funny(lucy) & ~old(l... | 0 |
Everyone who is not calm or not wise is both rich and not patient. Everyone who is not strong or not calm is either quiet or not calm and vice versa. If someone is brave then alice is both not wise and curious and vice versa. If paul is either not rich or not curious then paul is either not quiet or not generous. If al... | Alice is not calm. | contradiction | (![X]:((~calm(X)|~wise(X))=>(rich(X)&~patient(X))))&
(![X]:((~strong(X)|~calm(X))<=>(quiet(X)<~>~calm(X))))&
((?[X]:(brave(X)))<=>((~wise(alice)&curious(alice))))&
(((~rich(paul)<~>~curious(paul)))=>((~quiet(paul)<~>~generous(paul))))&
(((quiet(alice)<~>creative(alice)))<=>(?[X]:((kind(X)|strong(X)))))&
(![X]:((~kind(X... | ~calm(alice) | [
"p0",
"p1",
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1866570440423802862945862
% SZS output start Proof for 1866570440423802862945862
1. ! [X0] : ((~wise(X0) | ~calm(X0)) => (~patient(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> (quiet(X0) <~> ~calm(X0))) [input p1]
5. (quiet(alice) <~> creative(alice)) <=> ? [X0] ... | 0 |
Everyone who is either humble or old is patient or rich and vice versa.
If someone is calm or quiet then someone is humble or tall and vice versa.
Everyone who is not curious or calm is both quiet and happy.
Everyone who is either patient or not happy is not generous or strong and vice versa.
Everyone who is either fun... | Fred is happy. | entailment | (![X]:((humble(X)<~>old(X))<=>(patient(X)|rich(X))))&
((?[X]:((calm(X)|quiet(X))))<=>(?[X]:((humble(X)|tall(X)))))&
(![X]:((~curious(X)|calm(X))=>(quiet(X)&happy(X))))&
(![X]:((patient(X)<~>~happy(X))<=>(~generous(X)|strong(X))))&
(![X]:((funny(X)<~>~humble(X))=>rich(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((~quiet(X)|old(X... | happy(fred) | [
"p0",
"p2",
"p5",
"p7",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 884550996266122015231044
% SZS output start Proof for 884550996266122015231044
1. ! [X0] : ((humble(X0) <~> old(X0)) <=> (rich(X0) | patient(X0))) [input p0]
3. ! [X0] : ((calm(X0) | ~curious(X0)) => (happy(X0) & quiet(X0))) [input p2]
6. ? [X0] : ~strong(X0) <=> ? [X0] : (old(X0) | ~quie... | 0 |
If someone is wise or rich then someone is either not creative or not generous and vice versa. Everyone who is not creative is tall and vice versa. If mary is either wise or happy then someone is either not funny or wise and vice versa. Everyone who is both not funny and humble is generous or old. Everyone who is both ... | Lucy is happy. | contradiction | ((?[X]:((wise(X)|rich(X))))<=>(?[X]:((~creative(X)<~>~generous(X)))))&
(![X]:(~creative(X)<=>tall(X)))&
(((wise(mary)<~>happy(mary)))<=>(?[X]:((~funny(X)<~>wise(X)))))&
(![X]:((~funny(X)&humble(X))=>(generous(X)|old(X))))&
(![X]:((~humble(X)&quiet(X))=>(~strong(X)&~rich(X))))&
(![X]:((curious(X)&~tall(X))<=>(~calm(X)&~... | happy(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2140688283373440330759881
% SZS output start Proof for 2140688283373440330759881
21. ~happy(lucy) [input p20]
25. happy(lucy) [input hypothesis]
160. ~happy(lucy) [cnf transformation 21]
167. happy(lucy) [cnf transformation 25]
349. $false [subsumption resolution 167,160]
% SZS output end... | 0 |
If someone is quiet then lucy is either not strong or not rich.
If someone is either not patient or not quiet then someone is curious.
Everyone who is patient is both not tall and happy.
Everyone who is not rich is not brave or not creative and vice versa.
If someone is either tall or patient then someone is either hap... | John is rich. | contradiction | ((?[X]:(quiet(X)))=>((~strong(lucy)<~>~rich(lucy))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(?[X]:(curious(X))))&
(![X]:(patient(X)=>(~tall(X)&happy(X))))&
(![X]:(~rich(X)<=>(~brave(X)|~creative(X))))&
((?[X]:((tall(X)<~>patient(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:((creative(X)|~creative(X))<=>(kind(X)|~qui... | rich(john) | [
"p3",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7276810686818212606642954
% SZS output start Proof for 7276810686818212606642954
4. ! [X0] : (~rich(X0) <=> (~creative(X0) | ~brave(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | kind(X0)) => ~old(X0)) [input p10]
12. ! [X0] : (~old(X0) <=> (~strong(X0) & ~creative(X0))) [input p11]
16. ! [X... | 0 |
Everyone who is both generous and not generous is either not curious or tall and vice versa.
If mary is both not patient and not creative then someone is either quiet or happy and vice versa.
Everyone who is brave or kind is brave or funny and vice versa.
If lucy is brave or creative then lucy is not curious.
If alice ... | John is old. | neutral | (![X]:((generous(X)&~generous(X))<=>(~curious(X)<~>tall(X))))&
(((~patient(mary)&~creative(mary)))<=>(?[X]:((quiet(X)<~>happy(X)))))&
(![X]:((brave(X)|kind(X))<=>(brave(X)|funny(X))))&
(((brave(lucy)|creative(lucy)))=>(~curious(lucy)))&
((tall(alice))=>(strong(john)))&
(![X]:((generous(X)&calm(X))<=>(~patient(X)<~>~fun... | old(john) | [] | null | 0 |
Everyone who is not humble or not funny is happy and vice versa. If someone is not humble then someone is both not generous and not calm and vice versa. Everyone who is not generous or not tall is tall and vice versa. Everyone who is either happy or not humble is both not tall and not curious. If susan is not patient t... | Fred is not funny. | contradiction | (![X]:((~humble(X)|~funny(X))<=>happy(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~generous(X)|~tall(X))<=>tall(X)))&
(![X]:((happy(X)<~>~humble(X))=>(~tall(X)&~curious(X))))&
((~patient(susan))=>((rich(alice)<~>~tall(alice))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((strong(X)<~>funny(X)))))... | ~funny(fred) | [
"p0",
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 267809364167556682753097
% SZS output start Proof for 267809364167556682753097
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> tall(X0)) [input p2]
4. ! [X0] : ((happy(X0) <~> ~humble(X0)) => (~curious(X0) & ~tall(X0))) [input... | 0 |
If lucy is either not funny or curious then mary is both not patient and not rich and vice versa. If paul is brave or old then mary is generous. If susan is either rich or not old then mary is not calm or not old. Everyone who is not quiet or brave is both not wise and patient. Everyone who is both tall and not curious... | Alice is curious. | contradiction | (((~funny(lucy)<~>curious(lucy)))<=>((~patient(mary)&~rich(mary))))&
(((brave(paul)|old(paul)))=>(generous(mary)))&
(((rich(susan)<~>~old(susan)))=>((~calm(mary)|~old(mary))))&
(![X]:((~quiet(X)|brave(X))=>(~wise(X)&patient(X))))&
(![X]:((tall(X)&~curious(X))=>(~creative(X)&~happy(X))))&
((?[X]:((~humble(X)|~quiet(X)))... | curious(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7491991376045791914535894
% SZS output start Proof for 7491991376045791914535894
23. ~patient(alice) & ~curious(alice) [input p22]
25. curious(alice) [input hypothesis]
127. ~curious(alice) [cnf transformation 23]
131. curious(alice) [cnf transformation 25]
343. $false [subsumption resolu... | 0 |
If lucy is either wise or not quiet then lucy is not funny and vice versa.
If someone is both patient and rich then someone is both not quiet and not funny.
If someone is not humble or happy then someone is either not generous or not creative.
Everyone who is either not brave or humble is both curious and not rich.
Eve... | Lucy is not humble. | entailment | (((wise(lucy)<~>~quiet(lucy)))<=>(~funny(lucy)))&
((?[X]:((patient(X)&rich(X))))=>(?[X]:((~quiet(X)&~funny(X)))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((~generous(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>humble(X))=>(curious(X)&~rich(X))))&
(![X]:((curious(X)|~funny(X))=>(patient(X)|~quiet(X))))&
(![X]:((~humble(X... | ~humble(lucy) | [
"p3",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1152730307299142151888760
% SZS output start Proof for 1152730307299142151888760
4. ! [X0] : ((~brave(X0) <~> humble(X0)) => (~rich(X0) & curious(X0))) [input p3]
8. ! [X0] : ((~funny(X0) | strong(X0)) <=> (~brave(X0) <~> funny(X0))) [input p7]
9. ! [X0] : (humble(X0) => (~happy(X0) & fun... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Mary is tall. | contradiction | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | tall(mary) | [
"p1",
"p2",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 473398957731010155626729
% SZS output start Proof for 473398957731010155626729
2. ! [X0] : ((~old(X0) | ~generous(X0)) => creative(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0))) [input p2]
5. ! [X0] : (~funny(X0) => ~generous(X0)) [input p4]
10. ! [X0] : (~rich(X... | 0 |
If fred is kind then lucy is not calm and vice versa.
Everyone who is not happy is either brave or not wise.
If someone is both not kind and curious then someone is either rich or not creative.
If paul is either humble or not humble then susan is rich and vice versa.
If john is not old or not rich then someone is not w... | Susan is not generous. | contradiction | ((kind(fred))<=>(~calm(lucy)))&
(![X]:(~happy(X)=>(brave(X)<~>~wise(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:((rich(X)<~>~creative(X)))))&
(((humble(paul)<~>~humble(paul)))<=>(rich(susan)))&
(((~old(john)|~rich(john)))=>(?[X]:(~wise(X))))&
(![X]:((~curious(X)&quiet(X))<=>(rich(X)&~old(X))))&
(((creative(alice)|~hu... | ~generous(susan) | [
"p3",
"p5",
"p11",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7427948265620767820118011
% SZS output start Proof for 7427948265620767820118011
4. (humble(paul) <~> ~humble(paul)) <=> rich(susan) [input p3]
6. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> (~old(X0) & rich(X0))) [input p5]
12. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (wise(X0) <~> ~curious... | 0 |
If paul is both curious and not tall then someone is not creative or not curious and vice versa. If someone is old or rich then john is either creative or curious. If susan is both not curious and not calm then someone is tall or not quiet and vice versa. Everyone who is either not patient or not rich is not rich or no... | Alice is not curious. | neutral | (((curious(paul)&~tall(paul)))<=>(?[X]:((~creative(X)|~curious(X)))))&
((?[X]:((old(X)|rich(X))))=>((creative(john)<~>curious(john))))&
(((~curious(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))<=>(~rich(X)|~strong(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(brave(X)&generous(X))))... | ~curious(alice) | [] | null | 0 |
Everyone who is not patient or not happy is both patient and quiet.
Everyone who is either humble or not calm is not happy or curious and vice versa.
Everyone who is both generous and not calm is happy.
Everyone who is not old is not tall or tall.
If alice is not brave then someone is both old and not rich and vice ver... | Lucy is calm. | contradiction | (![X]:((~patient(X)|~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((humble(X)<~>~calm(X))<=>(~happy(X)|curious(X))))&
(![X]:((generous(X)&~calm(X))=>happy(X)))&
(![X]:(~old(X)=>(~tall(X)|tall(X))))&
((~brave(alice))<=>(?[X]:((old(X)&~rich(X)))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((quiet(X)|calm(X)))))&
((?[X]:((~... | calm(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8975633075242751230577350
% SZS output start Proof for 8975633075242751230577350
11. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (happy(X0) | calm(X0))) [input p10]
24. calm(lucy) [input hypothesis]
63. ! [X0] : (((kind(X0) & ~kind(X0)) | (~happy(X0) & ~calm(X0))) & ((happy(X0) | calm(X0)) | (~k... | 0 |
Everyone who is brave is not patient or not quiet. Everyone who is both not brave and rich is curious and vice versa. Everyone who is either curious or brave is quiet. If someone is both not kind and rich then someone is not curious or wise. If someone is either tall or generous then someone is rich and vice versa. Eve... | Fred is not patient. | entailment | (![X]:(brave(X)=>(~patient(X)|~quiet(X))))&
(![X]:((~brave(X)&rich(X))<=>curious(X)))&
(![X]:((curious(X)<~>brave(X))=>quiet(X)))&
((?[X]:((~kind(X)&rich(X))))=>(?[X]:((~curious(X)|wise(X)))))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:(rich(X))))&
(![X]:((creative(X)<~>brave(X))=>(~tall(X)|~kind(X))))&
(![X]:((~wise(X... | ~patient(fred) | [
"p0",
"p1",
"p2",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8040858864688942303506321
% SZS output start Proof for 8040858864688942303506321
1. ! [X0] : (brave(X0) => (~quiet(X0) | ~patient(X0))) [input p0]
2. ! [X0] : ((rich(X0) & ~brave(X0)) <=> curious(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> brave(X0)) => quiet(X0)) [input p2]
15. ? [X0] ... | 0 |
If fred is not quiet or humble then susan is patient or happy. Everyone who is not quiet or not happy is creative and vice versa. Everyone who is either humble or funny is not wise or not humble and vice versa. If someone is not happy then someone is both not strong and not old and vice versa. Everyone who is not old i... | Fred is patient. | neutral | (((~quiet(fred)|humble(fred)))=>((patient(susan)|happy(susan))))&
(![X]:((~quiet(X)|~happy(X))<=>creative(X)))&
(![X]:((humble(X)<~>funny(X))<=>(~wise(X)|~humble(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:(~old(X)=>(funny(X)<~>~creative(X))))&
(![X]:((tall(X)<~>~wise(X))=>(wise(X)&creative(X))))... | patient(fred) | [] | null | 0 |
Everyone who is either happy or not old is either curious or not humble and vice versa.
Everyone who is not old is not calm.
If alice is both generous and not happy then alice is curious.
Everyone who is both old and not rich is both not creative and not rich.
If susan is not strong then john is rich or not tall and vi... | Lucy is not strong. | entailment | (![X]:((happy(X)<~>~old(X))<=>(curious(X)<~>~humble(X))))&
(![X]:(~old(X)=>~calm(X)))&
(((generous(alice)&~happy(alice)))=>(curious(alice)))&
(![X]:((old(X)&~rich(X))=>(~creative(X)&~rich(X))))&
((~strong(susan))<=>((rich(john)|~tall(john))))&
(![X]:((~generous(X)<~>creative(X))<=>(generous(X)|strong(X))))&
(![X]:((~br... | ~strong(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 446116640471346487733677
% SZS output start Proof for 446116640471346487733677
9. ! [X0] : ((~strong(X0) & ~creative(X0)) <=> strong(X0)) [input p8]
24. strong(lucy) [input hypothesis]
46. ! [X0] : (((~strong(X0) & ~creative(X0)) | ~strong(X0)) & (strong(X0) | (strong(X0) | creative(X0)))... | 0 |
Everyone who is either humble or not creative is happy or not patient and vice versa.
Everyone who is not wise is both patient and not funny and vice versa.
Everyone who is brave is both not creative and not humble and vice versa.
Everyone who is strong or not kind is either not calm or patient.
If someone is wise or n... | Fred is not creative. | contradiction | (![X]:((humble(X)<~>~creative(X))<=>(happy(X)|~patient(X))))&
(![X]:(~wise(X)<=>(patient(X)&~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)&~humble(X))))&
(![X]:((strong(X)|~kind(X))=>(~calm(X)<~>patient(X))))&
((?[X]:((wise(X)|~brave(X))))<=>(~calm(lucy)))&
(![X]:((curious(X)&creative(X))<=>(wise(X)<~>~wise(X))))&
(((pa... | ~creative(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8638130056130605442577308
% SZS output start Proof for 8638130056130605442577308
6. ! [X0] : ((creative(X0) & curious(X0)) <=> (wise(X0) <~> ~wise(X0))) [input p5]
22. ~creative(fred) [input hypothesis]
41. ! [X0] : (((creative(X0) & curious(X0)) | ((wise(X0) | wise(X0)) & (~wise(X0) | ~w... | 0 |
If lucy is both not happy and not kind then alice is either not patient or not kind.
If someone is both not happy and not humble then john is both generous and not curious.
Everyone who is generous or not strong is not generous or not curious.
Everyone who is not quiet or wise is rich.
Everyone who is happy is not curi... | Fred is not tall. | entailment | (((~happy(lucy)&~kind(lucy)))=>((~patient(alice)<~>~kind(alice))))&
((?[X]:((~happy(X)&~humble(X))))=>((generous(john)&~curious(john))))&
(![X]:((generous(X)|~strong(X))=>(~generous(X)|~curious(X))))&
(![X]:((~quiet(X)|wise(X))=>rich(X)))&
(![X]:(happy(X)<=>~curious(X)))&
(![X]:((~rich(X)&~happy(X))=>(brave(X)<~>~humbl... | ~tall(fred) | [
"p3",
"p4",
"p6",
"p13",
"p15",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1281337652179279604922073
% SZS output start Proof for 1281337652179279604922073
4. ! [X0] : ((wise(X0) | ~quiet(X0)) => rich(X0)) [input p3]
5. ! [X0] : (happy(X0) <=> ~curious(X0)) [input p4]
7. ! [X0] : (~brave(X0) <=> (quiet(X0) <~> ~curious(X0))) [input p6]
14. ! [X0] : (rich(X0) => ... | 0 |
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny is not funny or wise and vice versa.
Everyone who is not strong or patient is not funny or brave and vice versa.
If paul is not happy then someone is either not tall or not old and vice versa.
Everyone who is both no... | Alice is not kind. | contradiction | ((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>... | ~kind(alice) | [
"p1",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6516706176024535447890387
% SZS output start Proof for 6516706176024535447890387
2. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p1]
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p... | 0 |
If mary is humble then fred is not generous.
Everyone who is either calm or not patient is not funny.
If someone is either not quiet or not humble then someone is not patient and vice versa.
If lucy is quiet then lucy is not humble.
Everyone who is creative is either wise or happy and vice versa.
If someone is not humb... | Lucy is not tall. | entailment | ((humble(mary))=>(~generous(fred)))&
(![X]:((calm(X)<~>~patient(X))=>~funny(X)))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(?[X]:(~patient(X))))&
((quiet(lucy))=>(~humble(lucy)))&
(![X]:(creative(X)<=>(wise(X)<~>happy(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~tall(X)|~curious(X)))))&
(![X]:((~calm(X)<~>tall(X))=>(funny(X)&~gen... | ~tall(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 323795980127764392719201
% SZS output start Proof for 323795980127764392719201
17. curious(lucy) & ~tall(lucy) [input p16]
24. tall(lucy) [input hypothesis]
117. ~tall(lucy) [cnf transformation 17]
128. tall(lucy) [cnf transformation 24]
302. $false [subsumption resolution 128,117]
% SZS ... | 0 |
Everyone who is either old or not quiet is both wise and not calm. Everyone who is not calm or not kind is rich and vice versa. If someone is both happy and funny then lucy is both not strong and rich. Everyone who is both generous and kind is not brave and vice versa. If mary is kind or wise then susan is either not c... | Fred is not patient. | neutral | (![X]:((old(X)<~>~quiet(X))=>(wise(X)&~calm(X))))&
(![X]:((~calm(X)|~kind(X))<=>rich(X)))&
((?[X]:((happy(X)&funny(X))))=>((~strong(lucy)&rich(lucy))))&
(![X]:((generous(X)&kind(X))<=>~brave(X)))&
(((kind(mary)|wise(mary)))<=>((~calm(susan)<~>humble(susan))))&
(![X]:((~old(X)&old(X))=>(quiet(X)&creative(X))))&
(((~calm... | ~patient(fred) | [] | null | 0 |
If lucy is wise then fred is either kind or brave and vice versa.
Everyone who is either not calm or strong is both wise and not happy and vice versa.
Everyone who is creative is both creative and not strong and vice versa.
Everyone who is happy or curious is brave.
If mary is not curious then paul is not tall.
Everyon... | Paul is not tall. | entailment | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>(wise(X)&~happy(X))))&
(![X]:(creative(X)<=>(creative(X)&~strong(X))))&
(![X]:((happy(X)|curious(X))=>brave(X)))&
((~curious(mary))=>(~tall(paul)))&
(![X]:((~curious(X)&~happy(X))=>(~curious(X)<~>old(X))))&
(![X]:(happy(X)=>strong(X)))&
((~f... | ~tall(paul) | [
"p1",
"p6",
"p9",
"p13",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 758892484122286496915219
% SZS output start Proof for 758892484122286496915219
2. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> (~happy(X0) & wise(X0))) [input p1]
7. ! [X0] : (happy(X0) => strong(X0)) [input p6]
10. ! [X0] : ((generous(X0) | tall(X0)) <=> calm(X0)) [input p9]
14. ! [X0] : ((~... | 0 |
If someone is not calm or not rich then fred is not humble or kind.
If someone is happy then mary is rich and vice versa.
Everyone who is both old and not kind is both not humble and quiet and vice versa.
Everyone who is both not happy and not quiet is both not quiet and not brave.
Everyone who is kind is both not tall... | Mary is not strong. | neutral | ((?[X]:((~calm(X)|~rich(X))))=>((~humble(fred)|kind(fred))))&
((?[X]:(happy(X)))<=>(rich(mary)))&
(![X]:((old(X)&~kind(X))<=>(~humble(X)&quiet(X))))&
(![X]:((~happy(X)&~quiet(X))=>(~quiet(X)&~brave(X))))&
(![X]:(kind(X)<=>(~tall(X)&calm(X))))&
(![X]:(humble(X)<=>(~calm(X)<~>old(X))))&
((?[X]:(~patient(X)))=>(?[X]:(happ... | ~strong(mary) | [] | null | 0 |
If paul is not kind or kind then someone is either not quiet or not tall and vice versa.
Everyone who is generous or not curious is both not humble and patient and vice versa.
Everyone who is both not strong and humble is patient and vice versa.
If john is humble or not curious then someone is either quiet or not humbl... | John is not happy. | neutral | (((~kind(paul)|kind(paul)))<=>(?[X]:((~quiet(X)<~>~tall(X)))))&
(![X]:((generous(X)|~curious(X))<=>(~humble(X)&patient(X))))&
(![X]:((~strong(X)&humble(X))<=>patient(X)))&
(((humble(john)|~curious(john)))<=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((~quiet(X)|~wise(X))<=>(quiet(X)&humble(X))))&
((?[X]:((~generous(X)&ri... | ~happy(john) | [] | null | 0 |
Everyone who is both generous and not curious is both not curious and tall and vice versa.
If mary is either not calm or curious then someone is either not patient or not kind.
Everyone who is either humble or not generous is both not curious and not funny and vice versa.
Everyone who is either rich or not humble is ei... | John is not humble. | entailment | (![X]:((generous(X)&~curious(X))<=>(~curious(X)&tall(X))))&
(((~calm(mary)<~>curious(mary)))=>(?[X]:((~patient(X)<~>~kind(X)))))&
(![X]:((humble(X)<~>~generous(X))<=>(~curious(X)&~funny(X))))&
(![X]:((rich(X)<~>~humble(X))=>(patient(X)<~>generous(X))))&
(![X]:((~generous(X)<~>~old(X))=>(~creative(X)|happy(X))))&
((?[X]... | ~humble(john) | [
"p7",
"p8",
"p9",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1088392489368288756617682
% SZS output start Proof for 1088392489368288756617682
8. ! [X0] : ((~humble(X0) | ~wise(X0)) => (patient(X0) & ~tall(X0))) [input p7]
9. ! [X0] : ((wise(X0) <~> ~tall(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p8]
10. ! [X0] : ((calm(X0) <~> ~old(X0)) <=> (~calm... | 0 |
If mary is not kind or calm then someone is not funny.
Everyone who is either wise or not quiet is quiet or not humble and vice versa.
Everyone who is both not quiet and not tall is both not patient and curious.
If fred is strong then susan is not quiet.
If someone is both not rich and humble then someone is either kin... | Fred is not generous. | neutral | (((~kind(mary)|calm(mary)))=>(?[X]:(~funny(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(quiet(X)|~humble(X))))&
(![X]:((~quiet(X)&~tall(X))=>(~patient(X)&curious(X))))&
((strong(fred))=>(~quiet(susan)))&
((?[X]:((~rich(X)&humble(X))))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(tall(X)|~kind(X))))&
(!... | ~generous(fred) | [] | null | 0 |
If susan is tall or wise then someone is not humble or rich.
If someone is not creative or calm then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and not creative.
Everyone who is not old is old or not rich.
Everyon... | John is not funny. | neutral | (((tall(susan)|wise(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
((?[X]:((~creative(X)|calm(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~old(X)|~quiet(X)... | ~funny(john) | [] | null | 0 |
Everyone who is not creative or not tall is old. If someone is either curious or not old then lucy is both creative and brave and vice versa. Everyone who is wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Everyone who is funny or old is wise or not rich. Everyone who is both... | Fred is not kind. | entailment | (![X]:((~creative(X)|~tall(X))=>old(X)))&
((?[X]:((curious(X)<~>~old(X))))<=>((creative(lucy)&brave(lucy))))&
(![X]:(wise(X)=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(X))<=>(~creative(X)&quiet(X))))&
(![X]:(calm(... | ~kind(fred) | [
"p0",
"p3",
"p4",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6793016401643054362286474
% SZS output start Proof for 6793016401643054362286474
1. ! [X0] : ((~tall(X0) | ~creative(X0)) => old(X0)) [input p0]
4. ! [X0] : ((~happy(X0) | old(X0)) => (~patient(X0) & tall(X0))) [input p3]
5. ! [X0] : ((old(X0) | funny(X0)) => (~rich(X0) | wise(X0))) [inpu... | 0 |
If fred is calm or not creative then alice is not patient and vice versa.
If someone is either not happy or tall then alice is both humble and not wise and vice versa.
If alice is not happy then someone is humble.
Everyone who is brave is not generous and vice versa.
If fred is humble or not kind then paul is both funn... | Mary is not strong. | neutral | (((calm(fred)|~creative(fred)))<=>(~patient(alice)))&
((?[X]:((~happy(X)<~>tall(X))))<=>((humble(alice)&~wise(alice))))&
((~happy(alice))=>(?[X]:(humble(X))))&
(![X]:(brave(X)<=>~generous(X)))&
(((humble(fred)|~kind(fred)))<=>((funny(paul)&happy(paul))))&
(((~calm(alice)&~strong(alice)))=>((creative(john)|~calm(john)))... | ~strong(mary) | [] | null | 0 |
If someone is both kind and patient then someone is either not creative or not brave.
If alice is generous or not patient then mary is both strong and not humble and vice versa.
Everyone who is old is not funny or brave and vice versa.
Everyone who is not quiet or not kind is both rich and not old and vice versa.
Every... | Fred is not old. | contradiction | ((?[X]:((kind(X)&patient(X))))=>(?[X]:((~creative(X)<~>~brave(X)))))&
(((generous(alice)|~patient(alice)))<=>((strong(mary)&~humble(mary))))&
(![X]:(old(X)<=>(~funny(X)|brave(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(rich(X)&~old(X))))&
(![X]:((~happy(X)|~old(X))=>(patient(X)&quiet(X))))&
(((kind(lucy)<~>wise(lucy)))<=>(?[... | ~old(fred) | [
"p2",
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8381105873784997466184774
% SZS output start Proof for 8381105873784997466184774
3. ! [X0] : (old(X0) <=> (brave(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~old(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~old(X0) | ~happy(X0)) => (quiet(X0) & patient(X0))) [in... | 0 |
If alice is creative or strong then alice is not generous or kind and vice versa.
Everyone who is both not creative and curious is kind and vice versa.
Everyone who is not happy or wise is both old and not patient and vice versa.
If john is not calm then someone is both not wise and not tall.
If susan is either not hap... | John is patient. | neutral | (((creative(alice)|strong(alice)))<=>((~generous(alice)|kind(alice))))&
(![X]:((~creative(X)&curious(X))<=>kind(X)))&
(![X]:((~happy(X)|wise(X))<=>(old(X)&~patient(X))))&
((~calm(john))=>(?[X]:((~wise(X)&~tall(X)))))&
(((~happy(susan)<~>~patient(susan)))<=>(~humble(susan)))&
(![X]:((tall(X)|rich(X))<=>(rich(X)&~strong(... | patient(john) | [] | null | 0 |
If someone is both not old and not happy then someone is either not funny or not quiet and vice versa.
Everyone who is not curious or not quiet is not humble or not calm and vice versa.
If someone is either not old or creative then someone is brave or kind.
If someone is patient or strong then mary is either not rich o... | Paul is not calm. | contradiction | ((?[X]:((~old(X)&~happy(X))))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:((~curious(X)|~quiet(X))<=>(~humble(X)|~calm(X))))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((brave(X)|kind(X)))))&
((?[X]:((patient(X)|strong(X))))=>((~rich(mary)<~>generous(mary))))&
(![X]:((calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((~humble(j... | ~calm(paul) | [
"p1",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6011397679824658576963241
% SZS output start Proof for 6011397679824658576963241
2. ! [X0] : ((~quiet(X0) | ~curious(X0)) <=> (~calm(X0) | ~humble(X0))) [input p1]
5. ! [X0] : ((quiet(X0) & calm(X0)) <=> (rich(X0) | ~tall(X0))) [input p4]
12. ! [X0] : ((kind(X0) & curious(X0)) <=> (strong... | 0 |
If lucy is curious or not old then mary is curious or not old.
If paul is not patient then paul is either not wise or not rich.
Everyone who is both patient and not kind is either not calm or happy and vice versa.
Everyone who is both creative and not creative is kind and vice versa.
If mary is not wise then someone is... | Lucy is not wise. | neutral | (((curious(lucy)|~old(lucy)))=>((curious(mary)|~old(mary))))&
((~patient(paul))=>((~wise(paul)<~>~rich(paul))))&
(![X]:((patient(X)&~kind(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((creative(X)&~creative(X))<=>kind(X)))&
((~wise(mary))<=>(?[X]:(wise(X))))&
((generous(susan))<=>((old(alice)<~>curious(alice))))&
((?[X]:((calm... | ~wise(lucy) | [] | null | 0 |
If someone is either kind or not creative then mary is either not kind or not humble. If someone is both not strong and not kind then someone is both not patient and not rich and vice versa. Everyone who is both old and creative is strong and vice versa. If someone is either not patient or happy then susan is either ha... | Mary is not humble. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>((~kind(mary)<~>~humble(mary))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((old(X)&creative(X))<=>strong(X)))&
((?[X]:((~patient(X)<~>happy(X))))=>((happy(susan)<~>patient(susan))))&
(![X]:(kind(X)=>~curious(X)))&
(((~rich(mary)<~>funny(mary)))<=>(~h... | ~humble(mary) | [] | null | 0 |
Everyone who is not creative or wise is not curious. Everyone who is tall or rich is both not calm and not patient. Everyone who is either not creative or old is either patient or not humble and vice versa. Everyone who is both generous and not kind is either creative or happy. Everyone who is either strong or not tall... | Lucy is not funny. | entailment | (![X]:((~creative(X)|wise(X))=>~curious(X)))&
(![X]:((tall(X)|rich(X))=>(~calm(X)&~patient(X))))&
(![X]:((~creative(X)<~>old(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((generous(X)&~kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((strong(X)<~>~tall(X))<=>~happy(X)))&
(![X]:((happy(X)&creative(X))=>(curious(X)|~tall(X))))&
... | ~funny(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6735716702141357359356301
% SZS output start Proof for 6735716702141357359356301
2. ! [X0] : ((rich(X0) | tall(X0)) => (~patient(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (patient(X0) <~> ~humble(X0))) [input p2]
4. ! [X0] : ((~kind(X0) & generous(X0)) => (... | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then mary is both creative and happy.
Everyone who is not happy or rich is not funny or rich.
Everyone who is both not kind and old is both creative and not quiet and vice versa.
Everyone... | Mary is not creative. | contradiction | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>((creative(mary)&happy(mary))))&
(![X]:((~happy(X)|rich(X))=>(~funny(X)|rich(X))))&
(![X]:((~kind(X)&old(X))<=>(creative(X)&~quiet(X))))&
(![X]:((~calm(X)|~happy(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((rich(X)|~old(X))=>(~t... | ~creative(mary) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8810161381400860261343310
% SZS output start Proof for 8810161381400860261343310
2. ? [X0] : (~quiet(X0) | ~generous(X0)) => (happy(mary) & creative(mary)) [input p1]
19. ? [X0] : (~quiet(X0) & strong(X0)) [input p18]
25. ~creative(mary) [input hypothesis]
26. (happy(mary) & creative(mary... | 0 |
If alice is both calm and not humble then alice is curious. Everyone who is not quiet is both funny and strong. Everyone who is both strong and creative is either not calm or not humble. If someone is not strong then lucy is not funny or not tall and vice versa. Everyone who is either old or wise is curious or patient.... | Mary is not tall. | entailment | (((calm(alice)&~humble(alice)))=>(curious(alice)))&
(![X]:(~quiet(X)=>(funny(X)&strong(X))))&
(![X]:((strong(X)&creative(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:(~strong(X)))<=>((~funny(lucy)|~tall(lucy))))&
(![X]:((old(X)<~>wise(X))=>(curious(X)|patient(X))))&
(((generous(lucy)&rich(lucy)))<=>(?[X]:((wise(X)<~>curious(... | ~tall(mary) | [
"p1",
"p6",
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4027929607734594710338351
% SZS output start Proof for 4027929607734594710338351
2. ! [X0] : (~quiet(X0) => (strong(X0) & funny(X0))) [input p1]
7. ? [X0] : (old(X0) | quiet(X0)) <=> (~creative(mary) | ~kind(mary)) [input p6]
9. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~old(X0) & ~tall(... | 0 |
Everyone who is either not happy or brave is not happy or quiet and vice versa. Everyone who is not strong or brave is both not quiet and not happy and vice versa. Everyone who is either not wise or calm is both generous and tall and vice versa. Everyone who is not curious is not wise or not humble. If someone is eithe... | Paul is old. | contradiction | (![X]:((~happy(X)<~>brave(X))<=>(~happy(X)|quiet(X))))&
(![X]:((~strong(X)|brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(generous(X)&tall(X))))&
(![X]:(~curious(X)=>(~wise(X)|~humble(X))))&
((?[X]:((~generous(X)<~>funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:(strong(X)))<=>((brave(alice)&strong(alice)... | old(paul) | [
"p0",
"p1",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4113030132419755338553524
% SZS output start Proof for 4113030132419755338553524
1. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> (quiet(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~strong(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
6. ? [X0] : strong(X0) <=> (strong(alice) & br... | 0 |
If someone is wise then someone is not happy.
If lucy is either not brave or not kind then paul is both strong and creative and vice versa.
Everyone who is either strong or curious is both brave and not strong and vice versa.
Everyone who is either kind or brave is not kind or not humble.
Everyone who is either quiet o... | Paul is calm. | neutral | ((?[X]:(wise(X)))=>(?[X]:(~happy(X))))&
(((~brave(lucy)<~>~kind(lucy)))<=>((strong(paul)&creative(paul))))&
(![X]:((strong(X)<~>curious(X))<=>(brave(X)&~strong(X))))&
(![X]:((kind(X)<~>brave(X))=>(~kind(X)|~humble(X))))&
(![X]:((quiet(X)<~>calm(X))=>(patient(X)|wise(X))))&
(![X]:(tall(X)=>(~happy(X)|~brave(X))))&
(((br... | calm(paul) | [] | null | 0 |
If susan is both strong and not creative then someone is both not happy and creative.
Everyone who is both rich and not strong is both quiet and not funny.
Everyone who is calm or kind is calm and vice versa.
If john is brave then mary is tall.
Everyone who is both not generous and happy is either creative or not patie... | Alice is not curious. | entailment | (((strong(susan)&~creative(susan)))=>(?[X]:((~happy(X)&creative(X)))))&
(![X]:((rich(X)&~strong(X))=>(quiet(X)&~funny(X))))&
(![X]:((calm(X)|kind(X))<=>calm(X)))&
((brave(john))=>(tall(mary)))&
(![X]:((~generous(X)&happy(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((creative(X)|generous(X))=>(~wise(X)&~brave(X))))&
(![X... | ~curious(alice) | [
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6435730613789810190120838
% SZS output start Proof for 6435730613789810190120838
6. ! [X0] : ((generous(X0) | creative(X0)) => (~brave(X0) & ~wise(X0))) [input p5]
12. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~wise(X0) | wise(X0))) [input p11]
13. ! [X0] : (curious(X0) <=> (~wise(X0) <~> ~c... | 0 |
Everyone who is not wise or not funny is humble.
Everyone who is both not curious and not brave is strong or funny.
If paul is both rich and not old then mary is not rich or strong and vice versa.
Everyone who is either brave or not creative is not rich.
Everyone who is brave or not rich is not brave.
Everyone who is n... | John is old. | entailment | (![X]:((~wise(X)|~funny(X))=>humble(X)))&
(![X]:((~curious(X)&~brave(X))=>(strong(X)|funny(X))))&
(((rich(paul)&~old(paul)))<=>((~rich(mary)|strong(mary))))&
(![X]:((brave(X)<~>~creative(X))=>~rich(X)))&
(![X]:((brave(X)|~rich(X))=>~brave(X)))&
(![X]:(~old(X)=>(~kind(X)&kind(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~patie... | old(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7434442214620972026880512
% SZS output start Proof for 7434442214620972026880512
6. ! [X0] : (~old(X0) => (kind(X0) & ~kind(X0))) [input p5]
22. ~old(john) [input hypothesis]
29. ! [X0] : ((kind(X0) & ~kind(X0)) | old(X0)) [ennf transformation 6]
70. ~kind(X0) | old(X0) [cnf transformatio... | 0 |
Everyone who is tall is not creative or not strong and vice versa. Everyone who is either not funny or curious is both not old and not wise. If susan is both humble and rich then john is either not old or humble and vice versa. Everyone who is brave or happy is generous. If paul is not rich then someone is brave or ric... | Paul is brave. | entailment | (![X]:(tall(X)<=>(~creative(X)|~strong(X))))&
(![X]:((~funny(X)<~>curious(X))=>(~old(X)&~wise(X))))&
(((humble(susan)&rich(susan)))<=>((~old(john)<~>humble(john))))&
(![X]:((brave(X)|happy(X))=>generous(X)))&
((~rich(paul))<=>(?[X]:((brave(X)|rich(X)))))&
(![X]:((~generous(X)&patient(X))<=>(~tall(X)<~>patient(X))))&
(!... | brave(paul) | [
"p0",
"p3",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2683916225527814567980511
% SZS output start Proof for 2683916225527814567980511
1. ! [X0] : (tall(X0) <=> (~strong(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((happy(X0) | brave(X0)) => generous(X0)) [input p3]
7. ! [X0] : ((strong(X0) | ~happy(X0)) => brave(X0)) [input p6]
8. ? [X0] :... | 0 |
Everyone who is not funny or tall is both brave and not generous and vice versa. Everyone who is both not rich and quiet is both not creative and funny and vice versa. If alice is not humble or not old then fred is either not strong or rich. If alice is both kind and funny then paul is generous. If someone is either no... | Alice is not curious. | contradiction | (![X]:((~funny(X)|tall(X))<=>(brave(X)&~generous(X))))&
(![X]:((~rich(X)&quiet(X))<=>(~creative(X)&funny(X))))&
(((~humble(alice)|~old(alice)))=>((~strong(fred)<~>rich(fred))))&
(((kind(alice)&funny(alice)))=>(generous(paul)))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~humble(alice)<~>wise(alice))))&
(![X]:((~brave(X)&str... | ~curious(alice) | [
"p0",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8082668519263328278761514
% SZS output start Proof for 8082668519263328278761514
1. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (~generous(X0) & brave(X0))) [input p0]
8. ! [X0] : ((~brave(X0) & tall(X0)) <=> (old(X0) | ~tall(X0))) [input p7]
19. ~curious(alice) <~> ~old(alice) [input p18]
21. ... | 0 |
Everyone who is humble or funny is not funny.
Everyone who is kind or curious is not happy.
If someone is tall then mary is not brave.
Everyone who is both rich and kind is both strong and creative and vice versa.
If susan is both not creative and not humble then susan is either not brave or not humble.
Everyone who is... | Susan is kind. | neutral | (![X]:((humble(X)|funny(X))=>~funny(X)))&
(![X]:((kind(X)|curious(X))=>~happy(X)))&
((?[X]:(tall(X)))=>(~brave(mary)))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&creative(X))))&
(((~creative(susan)&~humble(susan)))=>((~brave(susan)<~>~humble(susan))))&
(![X]:((old(X)|~quiet(X))=>(happy(X)&~brave(X))))&
(![X]:(funny(X)<=>(c... | kind(susan) | [] | null | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is happy or not calm is both not patient and old and vice versa.
If fred is strong or old then someone is not kind.
Everyone who is both not brave and not humble is both not calm and strong.
Everyone who is either not... | Mary is funny. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((happy(X)|~calm(X))<=>(~patient(X)&old(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)&~humble(X))=>(~calm(X)&strong(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)&creative(X))))&
(![X]:((~kind(X)&~curious(X))<=>(~strong(X)... | funny(mary) | [
"p4",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3314415277597189371586800
% SZS output start Proof for 3314415277597189371586800
5. ! [X0] : ((~curious(X0) <~> funny(X0)) <=> (creative(X0) & curious(X0))) [input p4]
11. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> (rich(X0) | old(X0))) [input p10]
23. old(mary) [input p22]
25. ~funny(mary)... | 0 |
If someone is not humble or not quiet then someone is both not rich and not wise. If someone is either not kind or wise then someone is not funny and vice versa. Everyone who is creative is either rich or generous. If susan is creative or not tall then someone is either creative or generous. Everyone who is both quiet ... | Fred is not generous. | neutral | ((?[X]:((~humble(X)|~quiet(X))))=>(?[X]:((~rich(X)&~wise(X)))))&
((?[X]:((~kind(X)<~>wise(X))))<=>(?[X]:(~funny(X))))&
(![X]:(creative(X)=>(rich(X)<~>generous(X))))&
(((creative(susan)|~tall(susan)))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((quiet(X)&~brave(X))=>(calm(X)|~kind(X))))&
(![X]:((~kind(X)<~>~funny(X))... | ~generous(fred) | [] | null | 0 |
If paul is both not rich and not calm then someone is not rich and vice versa.
Everyone who is not brave or not old is not curious or rich.
Everyone who is tall is both curious and tall and vice versa.
Everyone who is either curious or not rich is either not creative or wise and vice versa.
Everyone who is both funny a... | John is generous. | contradiction | (((~rich(paul)&~calm(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)|~old(X))=>(~curious(X)|rich(X))))&
(![X]:(tall(X)<=>(curious(X)&tall(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(~creative(X)<~>wise(X))))&
(![X]:((funny(X)&~patient(X))=>(~tall(X)<~>~rich(X))))&
(((~kind(john)<~>~brave(john)))=>((calm(lucy)<~>~creative(... | generous(john) | [
"p0",
"p2",
"p8",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6419393028844790331117945
% SZS output start Proof for 6419393028844790331117945
1. (~calm(paul) & ~rich(paul)) <=> ? [X0] : ~rich(X0) [input p0]
3. ! [X0] : (tall(X0) <=> (tall(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~funny(X0) | ~creative(X0)) => (creative(X0) & calm(X0))) [input p... | 0 |
If paul is either wise or not creative then someone is either not rich or funny and vice versa. Everyone who is curious or not patient is both funny and not old and vice versa. Everyone who is either not kind or not happy is both not quiet and not brave and vice versa. If someone is either calm or generous then mary is... | Paul is not calm. | neutral | (((wise(paul)<~>~creative(paul)))<=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((curious(X)|~patient(X))<=>(funny(X)&~old(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)&~brave(X))))&
((?[X]:((calm(X)<~>generous(X))))=>(old(mary)))&
(((wise(lucy)&~funny(lucy)))=>(funny(fred)))&
(((wise(lucy)&happy(lucy)))<=>((~strong(sus... | ~calm(paul) | [] | null | 0 |
Everyone who is not rich or not curious is either not quiet or not humble.
Everyone who is not wise or funny is both not strong and happy.
Everyone who is both quiet and not happy is either not kind or not happy and vice versa.
If someone is either not generous or not quiet then someone is not rich or not funny and vic... | Susan is calm. | entailment | (![X]:((~rich(X)|~curious(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((~wise(X)|funny(X))=>(~strong(X)&happy(X))))&
(![X]:((quiet(X)&~happy(X))<=>(~kind(X)<~>~happy(X))))&
((?[X]:((~generous(X)<~>~quiet(X))))<=>(?[X]:((~rich(X)|~funny(X)))))&
((?[X]:(~patient(X)))<=>((~tall(mary)|~strong(mary))))&
(((rich(susan)<~>~quiet(s... | calm(susan) | [
"p0",
"p9",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 256284757869753345421781
% SZS output start Proof for 256284757869753345421781
1. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~quiet(X0) <~> ~humble(X0))) [input p0]
10. ! [X0] : ((curious(X0) | ~curious(X0)) => rich(X0)) [input p9]
13. ! [X0] : (curious(X0) <=> (quiet(X0) & ~rich(X0))) [inp... | 0 |
Everyone who is both not generous and strong is not rich or not curious.
Everyone who is both not humble and old is quiet and vice versa.
Everyone who is either not brave or not happy is either not patient or kind.
Everyone who is old or wise is brave or not rich.
If lucy is not strong then someone is both not creative... | Lucy is not humble. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((~humble(X)&old(X))<=>quiet(X)))&
(![X]:((~brave(X)<~>~happy(X))=>(~patient(X)<~>kind(X))))&
(![X]:((old(X)|wise(X))=>(brave(X)|~rich(X))))&
((~strong(lucy))=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((brave(X)|strong(X))<=>humble(X)))&
(![X]:((humble(X)... | ~humble(lucy) | [] | null | 0 |
Everyone who is both not curious and happy is curious and vice versa.
If lucy is both strong and not funny then john is either funny or not strong and vice versa.
If someone is both not humble and not rich then someone is both brave and not quiet and vice versa.
Everyone who is either not wise or not kind is old and vi... | Susan is brave. | neutral | (![X]:((~curious(X)&happy(X))<=>curious(X)))&
(((strong(lucy)&~funny(lucy)))<=>((funny(john)<~>~strong(john))))&
((?[X]:((~humble(X)&~rich(X))))<=>(?[X]:((brave(X)&~quiet(X)))))&
(![X]:((~wise(X)<~>~kind(X))<=>old(X)))&
(((~rich(paul)<~>patient(paul)))=>(?[X]:((~rich(X)|~humble(X)))))&
((~rich(susan))=>((strong(fred)<~... | brave(susan) | [] | null | 0 |
Everyone who is both not humble and brave is not happy or kind.
Everyone who is not patient is both not funny and funny.
Everyone who is not curious is not humble and vice versa.
If alice is not kind or not rich then paul is curious or not old.
If alice is not humble then someone is not curious and vice versa.
Everyone... | John is not tall. | contradiction | (![X]:((~humble(X)&brave(X))=>(~happy(X)|kind(X))))&
(![X]:(~patient(X)=>(~funny(X)&funny(X))))&
(![X]:(~curious(X)<=>~humble(X)))&
(((~kind(alice)|~rich(alice)))=>((curious(paul)|~old(paul))))&
((~humble(alice))<=>(?[X]:(~curious(X))))&
(![X]:((humble(X)<~>rich(X))<=>(wise(X)<~>~kind(X))))&
(![X]:((~wise(X)|~quiet(X))... | ~tall(john) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2837379509639308994515104
% SZS output start Proof for 2837379509639308994515104
7. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (generous(X0) & tall(X0))) [input p6]
18. ~kind(john) & ~quiet(john) [input p17]
25. ~tall(john) [input hypothesis]
31. ! [X0] : ((generous(X0) & tall(X0)) | (quiet(X0... | 0 |
Everyone who is either patient or kind is either not calm or brave. If paul is not generous or kind then paul is kind or strong and vice versa. If john is not quiet or not generous then someone is both funny and not curious and vice versa. If someone is generous or not humble then someone is creative or not funny. If s... | Fred is creative. | neutral | (![X]:((patient(X)<~>kind(X))=>(~calm(X)<~>brave(X))))&
(((~generous(paul)|kind(paul)))<=>((kind(paul)|strong(paul))))&
(((~quiet(john)|~generous(john)))<=>(?[X]:((funny(X)&~curious(X)))))&
((?[X]:((generous(X)|~humble(X))))=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((~strong(mary)|brave(mar... | creative(fred) | [] | null | 0 |
Everyone who is not rich or old is funny and vice versa. Everyone who is either not calm or not rich is either not generous or strong. Everyone who is either not calm or not strong is both not humble and not strong. If someone is both curious and brave then someone is not calm and vice versa. If someone is either happy... | John is quiet. | contradiction | (![X]:((~rich(X)|old(X))<=>funny(X)))&
(![X]:((~calm(X)<~>~rich(X))=>(~generous(X)<~>strong(X))))&
(![X]:((~calm(X)<~>~strong(X))=>(~humble(X)&~strong(X))))&
((?[X]:((curious(X)&brave(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~creative(X)<~>happy(X))=>(humble(X)|old(X... | quiet(john) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8577823831529164659444696
% SZS output start Proof for 8577823831529164659444696
8. ! [X0] : ((humble(X0) | ~kind(X0)) <=> ~quiet(X0)) [input p7]
13. ! [X0] : ((quiet(X0) | kind(X0)) <=> humble(X0)) [input p12]
25. quiet(john) [input hypothesis]
58. ! [X0] : (((humble(X0) | ~kind(X0)) | q... | 0 |
If someone is creative then someone is not tall or not generous and vice versa. Everyone who is generous is both funny and rich. Everyone who is either humble or old is both generous and funny. Everyone who is humble is calm and vice versa. Everyone who is humble is generous and vice versa. If someone is either happy o... | Alice is calm. | entailment | ((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~generous(X)))))&
(![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creati... | calm(alice) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2072295648695127556110617
% SZS output start Proof for 2072295648695127556110617
1. ? [X0] : creative(X0) <=> ? [X0] : (~generous(X0) | ~tall(X0)) [input p0]
4. ! [X0] : (humble(X0) <=> calm(X0)) [input p3]
5. ! [X0] : (humble(X0) <=> generous(X0)) [input p4]
7. ! [X0] : ((~creative(X0) &... | 0 |
Everyone who is curious or not quiet is kind or not old and vice versa. Everyone who is both not generous and kind is either not funny or not tall. Everyone who is not calm is tall or not creative and vice versa. If someone is both not kind and not happy then someone is both strong and old. Everyone who is funny or hap... | Fred is not funny. | neutral | (![X]:((curious(X)|~quiet(X))<=>(kind(X)|~old(X))))&
(![X]:((~generous(X)&kind(X))=>(~funny(X)<~>~tall(X))))&
(![X]:(~calm(X)<=>(tall(X)|~creative(X))))&
((?[X]:((~kind(X)&~happy(X))))=>(?[X]:((strong(X)&old(X)))))&
(![X]:((funny(X)|happy(X))<=>(quiet(X)|~curious(X))))&
(![X]:((tall(X)|creative(X))<=>(brave(X)<~>~patie... | ~funny(fred) | [] | null | 0 |
If lucy is not strong then mary is both not curious and old.
If someone is not calm or not funny then alice is both not tall and humble.
Everyone who is either not creative or not humble is brave.
Everyone who is both quiet and not tall is either old or brave.
Everyone who is not calm is either not old or not wise and ... | Susan is funny. | entailment | ((~strong(lucy))=>((~curious(mary)&old(mary))))&
((?[X]:((~calm(X)|~funny(X))))=>((~tall(alice)&humble(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>brave(X)))&
(![X]:((quiet(X)&~tall(X))=>(old(X)<~>brave(X))))&
(![X]:(~calm(X)<=>(~old(X)<~>~wise(X))))&
((?[X]:((~happy(X)|~creative(X))))<=>(?[X]:((wise(X)|~kind(X)))))... | funny(susan) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8364078177481433380877156
% SZS output start Proof for 8364078177481433380877156
15. ! [X0] : ((~generous(X0) | ~funny(X0)) => (~quiet(X0) & rich(X0))) [input p14]
17. ~rich(susan) [input p16]
25. ~funny(susan) [input hypothesis]
44. ! [X0] : ((~quiet(X0) & rich(X0)) | (generous(X0) & fun... | 0 |
Everyone who is not calm or humble is wise or tall.
Everyone who is humble or tall is brave and vice versa.
Everyone who is not tall is both not happy and patient and vice versa.
If john is either curious or creative then susan is both old and not strong and vice versa.
Everyone who is both not funny and patient is not... | Lucy is not rich. | contradiction | (![X]:((~calm(X)|humble(X))=>(wise(X)|tall(X))))&
(![X]:((humble(X)|tall(X))<=>brave(X)))&
(![X]:(~tall(X)<=>(~happy(X)&patient(X))))&
(((curious(john)<~>creative(john)))<=>((old(susan)&~strong(susan))))&
(![X]:((~funny(X)&patient(X))=>(~tall(X)|curious(X))))&
((?[X]:((~funny(X)<~>quiet(X))))<=>((~generous(john)|quiet(... | ~rich(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2225352634036848827538714
% SZS output start Proof for 2225352634036848827538714
19. rich(lucy) [input p18]
24. ~rich(lucy) [input hypothesis]
137. rich(lucy) [cnf transformation 19]
143. ~rich(lucy) [cnf transformation 24]
347. $false [subsumption resolution 143,137]
% SZS output end Pro... | 0 |
Everyone who is quiet or not rich is both humble and kind. Everyone who is old or patient is not happy or not brave. Everyone who is not brave is old or not kind and vice versa. If someone is tall or not strong then susan is either not old or patient and vice versa. If alice is both tall and humble then someone is not ... | Paul is patient. | entailment | (![X]:((quiet(X)|~rich(X))=>(humble(X)&kind(X))))&
(![X]:((old(X)|patient(X))=>(~happy(X)|~brave(X))))&
(![X]:(~brave(X)<=>(old(X)|~kind(X))))&
((?[X]:((tall(X)|~strong(X))))<=>((~old(susan)<~>patient(susan))))&
(((tall(alice)&humble(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(calm(X)))<=>((funny(paul)<~>~old(paul))))&
(... | patient(paul) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4168090834179813742317985
% SZS output start Proof for 4168090834179813742317985
1. ! [X0] : ((~rich(X0) | quiet(X0)) => (kind(X0) & humble(X0))) [input p0]
3. ! [X0] : (~brave(X0) <=> (~kind(X0) | old(X0))) [input p2]
6. ? [X0] : calm(X0) <=> (funny(paul) <~> ~old(paul)) [input p5]
7. ! ... | 0 |
Everyone who is both not patient and not funny is not calm or not patient.
If someone is either creative or generous then lucy is not creative or patient.
If someone is funny then lucy is either rich or not old.
If someone is both generous and rich then someone is wise.
Everyone who is either not calm or funny is eithe... | Alice is not wise. | contradiction | (![X]:((~patient(X)&~funny(X))=>(~calm(X)|~patient(X))))&
((?[X]:((creative(X)<~>generous(X))))=>((~creative(lucy)|patient(lucy))))&
((?[X]:(funny(X)))=>((rich(lucy)<~>~old(lucy))))&
((?[X]:((generous(X)&rich(X))))=>(?[X]:(wise(X))))&
(![X]:((~calm(X)<~>funny(X))<=>(brave(X)<~>generous(X))))&
(![X]:(~wise(X)<=>(generou... | ~wise(alice) | [
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8256186799710139394587242
% SZS output start Proof for 8256186799710139394587242
6. ! [X0] : (~wise(X0) <=> (generous(X0) <~> ~happy(X0))) [input p5]
7. ? [X0] : (~quiet(X0) | creative(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p6]
11. creative(lucy) <=> ? [X0] : (happy(X0) | humb... | 0 |
If someone is either happy or curious then susan is not rich or funny and vice versa.
Everyone who is strong is not strong or quiet and vice versa.
Everyone who is old or not patient is calm.
Everyone who is not quiet or not happy is kind and vice versa.
Everyone who is rich or not creative is both strong and not humbl... | Mary is quiet. | entailment | ((?[X]:((happy(X)<~>curious(X))))<=>((~rich(susan)|funny(susan))))&
(![X]:(strong(X)<=>(~strong(X)|quiet(X))))&
(![X]:((old(X)|~patient(X))=>calm(X)))&
(![X]:((~quiet(X)|~happy(X))<=>kind(X)))&
(![X]:((rich(X)|~creative(X))=>(strong(X)&~humble(X))))&
(((strong(alice)<~>~generous(alice)))<=>(?[X]:((~tall(X)|~happy(X))))... | quiet(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9060031566635662859211377
% SZS output start Proof for 9060031566635662859211377
2. ! [X0] : (strong(X0) <=> (quiet(X0) | ~strong(X0))) [input p1]
24. ~quiet(mary) [input hypothesis]
38. ! [X0] : ((strong(X0) | (~quiet(X0) & strong(X0))) & ((quiet(X0) | ~strong(X0)) | ~strong(X0))) [nnf t... | 0 |
If lucy is funny then someone is not curious.
If mary is not patient or not kind then paul is either not old or not kind.
If lucy is tall or strong then mary is generous or kind.
Everyone who is either not funny or tall is tall.
Everyone who is tall or not rich is either not strong or happy and vice versa.
If susan is ... | Lucy is not kind. | contradiction | ((funny(lucy))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~kind(paul))))&
(((tall(lucy)|strong(lucy)))=>((generous(mary)|kind(mary))))&
(![X]:((~funny(X)<~>tall(X))=>tall(X)))&
(![X]:((tall(X)|~rich(X))<=>(~strong(X)<~>happy(X))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:((kind(X)|stron... | ~kind(lucy) | [
"p4",
"p6",
"p7",
"p8",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7559831901813569476168179
% SZS output start Proof for 7559831901813569476168179
5. ! [X0] : ((~rich(X0) | tall(X0)) <=> (~strong(X0) <~> happy(X0))) [input p4]
7. ! [X0] : ((creative(X0) & ~patient(X0)) <=> (~brave(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((kind(X0) | calm(X0)) <=> (... | 0 |
Everyone who is humble or not creative is not calm.
Everyone who is happy or not rich is either not generous or creative.
Everyone who is both not generous and wise is curious or not happy and vice versa.
Everyone who is not tall is either strong or not tall.
Everyone who is both not curious and brave is not kind or no... | Fred is curious. | entailment | (![X]:((humble(X)|~creative(X))=>~calm(X)))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>creative(X))))&
(![X]:((~generous(X)&wise(X))<=>(curious(X)|~happy(X))))&
(![X]:(~tall(X)=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise... | curious(fred) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4615779818146232370877643
% SZS output start Proof for 4615779818146232370877643
1. ! [X0] : ((~creative(X0) | humble(X0)) => ~calm(X0)) [input p0]
2. ! [X0] : ((~rich(X0) | happy(X0)) => (~generous(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~happy(X0) ... | 0 |
If someone is both calm and not kind then someone is either rich or not brave and vice versa.
Everyone who is not wise or not quiet is generous or wise.
If paul is kind or rich then fred is both brave and tall and vice versa.
If someone is both not calm and humble then someone is either not strong or brave and vice ver... | Fred is not happy. | entailment | ((?[X]:((calm(X)&~kind(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((~wise(X)|~quiet(X))=>(generous(X)|wise(X))))&
(((kind(paul)|rich(paul)))<=>((brave(fred)&tall(fred))))&
((?[X]:((~calm(X)&humble(X))))<=>(?[X]:((~strong(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)|wise(X))))&
(![X]:((curious(X)|g... | ~happy(fred) | [
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3299772177033722386395867
% SZS output start Proof for 3299772177033722386395867
9. ! [X0] : (calm(X0) => (quiet(X0) | ~old(X0))) [input p8]
10. ? [X0] : ~calm(X0) => ? [X0] : (strong(X0) & kind(X0)) [input p9]
11. ! [X0] : (strong(X0) => (~happy(X0) <~> ~strong(X0))) [input p10]
12. ! [X... | 0 |
Everyone who is both tall and strong is both kind and quiet.
If lucy is not old then paul is not funny or curious and vice versa.
If john is either curious or tall then someone is not calm.
Everyone who is not brave or rich is tall or not happy.
Everyone who is tall or not rich is not rich or not humble.
Everyone who i... | Paul is rich. | neutral | (![X]:((tall(X)&strong(X))=>(kind(X)&quiet(X))))&
((~old(lucy))<=>((~funny(paul)|curious(paul))))&
(((curious(john)<~>tall(john)))=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)|rich(X))=>(tall(X)|~happy(X))))&
(![X]:((tall(X)|~rich(X))=>(~rich(X)|~humble(X))))&
(![X]:((old(X)|~tall(X))=>(old(X)<~>funny(X))))&
(![X]:((~happy(X... | rich(paul) | [] | null | 0 |
If someone is either brave or happy then mary is not strong.
Everyone who is creative or not old is brave or patient and vice versa.
If someone is both not funny and happy then someone is both not creative and not humble.
If someone is either not old or not funny then alice is either not rich or not wise and vice versa... | Alice is rich. | entailment | ((?[X]:((brave(X)<~>happy(X))))=>(~strong(mary)))&
(![X]:((creative(X)|~old(X))<=>(brave(X)|patient(X))))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
((?[X]:((~old(X)<~>~funny(X))))<=>((~rich(alice)<~>~wise(alice))))&
(![X]:((creative(X)|calm(X))<=>brave(X)))&
((rich(susan))<=>(~funny(mary)))&... | rich(alice) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7291126957604781798306060
% SZS output start Proof for 7291126957604781798306060
4. ? [X0] : (~old(X0) <~> ~funny(X0)) <=> (~rich(alice) <~> ~wise(alice)) [input p3]
5. ! [X0] : ((calm(X0) | creative(X0)) <=> brave(X0)) [input p4]
7. (~funny(paul) | ~kind(paul)) <=> ? [X0] : (~generous(X0... | 0 |
If mary is either not generous or humble then fred is both not patient and not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone is not brave or kind.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
E... | Alice is brave. | contradiction | (((~generous(mary)<~>humble(mary)))=>((~patient(fred)&~strong(fred))))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curiou... | brave(alice) | [
"p1",
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2870832231724857908339624
% SZS output start Proof for 2870832231724857908339624
2. ! [X0] : ((~curious(X0) | happy(X0)) <=> (brave(X0) <~> ~humble(X0))) [input p1]
4. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (quiet(X0) & ~creative(X0))) [input p3]
6. ! [X0] : (curious(X0) <=> (curious(X... | 0 |
If someone is wise then someone is not happy and vice versa. Everyone who is not quiet or patient is not happy or curious and vice versa. Everyone who is either not curious or not quiet is strong or not kind and vice versa. Everyone who is not curious is both not kind and generous. Everyone who is quiet or patient is b... | Mary is not tall. | neutral | ((?[X]:(wise(X)))<=>(?[X]:(~happy(X))))&
(![X]:((~quiet(X)|patient(X))<=>(~happy(X)|curious(X))))&
(![X]:((~curious(X)<~>~quiet(X))<=>(strong(X)|~kind(X))))&
(![X]:(~curious(X)=>(~kind(X)&generous(X))))&
(![X]:((quiet(X)|patient(X))<=>(~rich(X)&~humble(X))))&
((?[X]:((~quiet(X)&~humble(X))))<=>((creative(fred)|humble(f... | ~tall(mary) | [] | null | 0 |
If alice is not kind then fred is not kind. If someone is not curious then lucy is either not patient or humble. Everyone who is not quiet or not tall is happy. If someone is not wise or generous then paul is either tall or patient and vice versa. If someone is both not wise and rich then susan is generous. Everyone wh... | Susan is not patient. | entailment | ((~kind(alice))=>(~kind(fred)))&
((?[X]:(~curious(X)))=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~quiet(X)|~tall(X))=>happy(X)))&
((?[X]:((~wise(X)|generous(X))))<=>((tall(paul)<~>patient(paul))))&
((?[X]:((~wise(X)&rich(X))))=>(generous(susan)))&
(![X]:(quiet(X)<=>(humble(X)|~rich(X))))&
(((brave(paul)&tall(paul)))... | ~patient(susan) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2816336187710109844215846
% SZS output start Proof for 2816336187710109844215846
3. ! [X0] : ((~tall(X0) | ~quiet(X0)) => happy(X0)) [input p2]
10. ! [X0] : ((~old(X0) | happy(X0)) => (kind(X0) & ~kind(X0))) [input p9]
13. ! [X0] : (patient(X0) => (~tall(X0) & ~generous(X0))) [input p12]
... | 0 |
Everyone who is either calm or not brave is happy or creative and vice versa. Everyone who is either not quiet or funny is both not calm and humble. Everyone who is both happy and brave is funny or old and vice versa. Everyone who is both not kind and kind is wise or quiet and vice versa. If someone is both not strong ... | Lucy is creative. | neutral | (![X]:((calm(X)<~>~brave(X))<=>(happy(X)|creative(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~calm(X)&humble(X))))&
(![X]:((happy(X)&brave(X))<=>(funny(X)|old(X))))&
(![X]:((~kind(X)&kind(X))<=>(wise(X)|quiet(X))))&
((?[X]:((~strong(X)&creative(X))))=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((generous(X)|~rich(X))))=>(?[X]:(... | creative(lucy) | [] | null | 0 |
If someone is both funny and not generous then mary is creative or patient.
Everyone who is funny is both not old and not wise and vice versa.
If someone is brave or not wise then john is strong and vice versa.
Everyone who is either not strong or not old is not happy.
Everyone who is both curious and funny is patient ... | Fred is not old. | entailment | ((?[X]:((funny(X)&~generous(X))))=>((creative(mary)|patient(mary))))&
(![X]:(funny(X)<=>(~old(X)&~wise(X))))&
((?[X]:((brave(X)|~wise(X))))<=>(strong(john)))&
(![X]:((~strong(X)<~>~old(X))=>~happy(X)))&
(![X]:((curious(X)&funny(X))<=>(patient(X)|kind(X))))&
((funny(fred))<=>(~quiet(mary)))&
(![X]:((happy(X)<~>patient(X... | ~old(fred) | [
"p1",
"p2",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5292652423502857224900043
% SZS output start Proof for 5292652423502857224900043
2. ! [X0] : (funny(X0) <=> (~wise(X0) & ~old(X0))) [input p1]
3. ? [X0] : (~wise(X0) | brave(X0)) <=> strong(john) [input p2]
5. ! [X0] : ((funny(X0) & curious(X0)) <=> (kind(X0) | patient(X0))) [input p4]
13... | 0 |
If susan is wise or patient then someone is not rich or not brave.
Everyone who is humble is wise or kind.
If someone is funny then paul is not rich or not tall.
If someone is either happy or creative then fred is not patient or not curious.
If someone is happy then someone is either not quiet or rich.
Everyone who is ... | Susan is not creative. | neutral | (((wise(susan)|patient(susan)))=>(?[X]:((~rich(X)|~brave(X)))))&
(![X]:(humble(X)=>(wise(X)|kind(X))))&
((?[X]:(funny(X)))=>((~rich(paul)|~tall(paul))))&
((?[X]:((happy(X)<~>creative(X))))=>((~patient(fred)|~curious(fred))))&
((?[X]:(happy(X)))=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((patient(X)&kind(X))=>(~kind(X)|ta... | ~creative(susan) | [] | null | 0 |
Everyone who is not humble or not strong is both not brave and creative and vice versa.
If someone is either generous or patient then lucy is both not kind and kind.
If someone is not curious then someone is not rich or funny and vice versa.
If alice is either happy or curious then someone is creative and vice versa.
I... | Alice is not happy. | neutral | (![X]:((~humble(X)|~strong(X))<=>(~brave(X)&creative(X))))&
((?[X]:((generous(X)<~>patient(X))))=>((~kind(lucy)&kind(lucy))))&
((?[X]:(~curious(X)))<=>(?[X]:((~rich(X)|funny(X)))))&
(((happy(alice)<~>curious(alice)))<=>(?[X]:(creative(X))))&
((?[X]:((funny(X)<~>~kind(X))))=>((~wise(paul)&~humble(paul))))&
(![X]:((~quie... | ~happy(alice) | [] | null | 0 |
If someone is patient or not kind then someone is both not generous and patient and vice versa.
Everyone who is brave is calm and vice versa.
If someone is not strong then someone is either generous or funny.
If someone is brave then susan is brave or happy.
If someone is not patient or not creative then mary is either... | Susan is not calm. | entailment | ((?[X]:((patient(X)|~kind(X))))<=>(?[X]:((~generous(X)&patient(X)))))&
(![X]:(brave(X)<=>calm(X)))&
((?[X]:(~strong(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
((?[X]:(brave(X)))=>((brave(susan)|happy(susan))))&
((?[X]:((~patient(X)|~creative(X))))=>((~tall(mary)<~>~calm(mary))))&
(((creative(fred)&wise(fred)))=>(?[X]:((... | ~calm(susan) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3339630647395723951211473
% SZS output start Proof for 3339630647395723951211473
2. ! [X0] : (brave(X0) <=> calm(X0)) [input p1]
7. ! [X0] : (~brave(X0) <=> (~humble(X0) | brave(X0))) [input p6]
22. calm(susan) [input hypothesis]
47. ! [X0] : ((brave(X0) | ~calm(X0)) & (calm(X0) | ~brave(... | 0 |
If someone is generous then lucy is either not rich or calm and vice versa. Everyone who is either humble or kind is not strong or kind and vice versa. If someone is not calm or not tall then mary is either not old or not rich. Everyone who is funny is both wise and not funny and vice versa. Everyone who is not kind is... | John is old. | entailment | ((?[X]:(generous(X)))<=>((~rich(lucy)<~>calm(lucy))))&
(![X]:((humble(X)<~>kind(X))<=>(~strong(X)|kind(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~old(mary)<~>~rich(mary))))&
(![X]:(funny(X)<=>(wise(X)&~funny(X))))&
(![X]:(~kind(X)<=>(~strong(X)<~>rich(X))))&
(((~generous(lucy)&~wise(lucy)))=>(?[X]:(patient(X))))&
(![X]:(... | old(john) | [
"p1",
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5577619555635652886560298
% SZS output start Proof for 5577619555635652886560298
2. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (kind(X0) | ~strong(X0))) [input p1]
5. ! [X0] : (~kind(X0) <=> (~strong(X0) <~> rich(X0))) [input p4]
8. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (old(X0) & ~happy... | 0 |
Everyone who is not old is not wise and vice versa.
If someone is not strong then someone is not generous.
If lucy is not happy or kind then paul is not funny or not tall and vice versa.
If someone is humble or not patient then alice is generous or happy.
Everyone who is not humble or not happy is not funny or brave.
I... | Alice is not tall. | neutral | (![X]:(~old(X)<=>~wise(X)))&
((?[X]:(~strong(X)))=>(?[X]:(~generous(X))))&
(((~happy(lucy)|kind(lucy)))<=>((~funny(paul)|~tall(paul))))&
((?[X]:((humble(X)|~patient(X))))=>((generous(alice)|happy(alice))))&
(![X]:((~humble(X)|~happy(X))=>(~funny(X)|brave(X))))&
((?[X]:((calm(X)<~>~humble(X))))=>(?[X]:((~rich(X)&quiet(X... | ~tall(alice) | [] | null | 0 |
Everyone who is not rich is both old and brave.
If someone is not happy or not old then someone is not happy or not brave and vice versa.
Everyone who is calm is both kind and happy and vice versa.
If mary is either happy or old then alice is not old or generous and vice versa.
Everyone who is not happy or old is not b... | Susan is quiet. | neutral | (![X]:(~rich(X)=>(old(X)&brave(X))))&
((?[X]:((~happy(X)|~old(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(calm(X)<=>(kind(X)&happy(X))))&
(((happy(mary)<~>old(mary)))<=>((~old(alice)|generous(alice))))&
(![X]:((~happy(X)|old(X))=>(~brave(X)|~old(X))))&
(![X]:((~happy(X)&tall(X))=>creative(X)))&
(((~tall(mary)|~stro... | quiet(susan) | [] | null | 0 |
Everyone who is both creative and not quiet is either happy or generous.
Everyone who is both not quiet and not brave is both calm and generous.
Everyone who is wise or patient is either not strong or happy and vice versa.
If someone is creative or not kind then alice is both not tall and not quiet.
Everyone who is hum... | Alice is not rich. | neutral | (![X]:((creative(X)&~quiet(X))=>(happy(X)<~>generous(X))))&
(![X]:((~quiet(X)&~brave(X))=>(calm(X)&generous(X))))&
(![X]:((wise(X)|patient(X))<=>(~strong(X)<~>happy(X))))&
((?[X]:((creative(X)|~kind(X))))=>((~tall(alice)&~quiet(alice))))&
(![X]:(humble(X)=>(quiet(X)|patient(X))))&
(((humble(susan)&~brave(susan)))=>((wi... | ~rich(alice) | [] | null | 0 |
If alice is not tall or rich then someone is either strong or curious and vice versa. Everyone who is rich is both not brave and happy. If alice is brave or strong then john is both brave and strong. If john is either not tall or happy then someone is both generous and not calm. If someone is old then someone is kind. ... | Alice is wise. | neutral | (((~tall(alice)|rich(alice)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(![X]:(rich(X)=>(~brave(X)&happy(X))))&
(((brave(alice)|strong(alice)))=>((brave(john)&strong(john))))&
(((~tall(john)<~>happy(john)))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:(old(X)))=>(?[X]:(kind(X))))&
(![X]:((kind(X)&~old(X))<=>(patient(X)&quiet(... | wise(alice) | [] | null | 0 |
If john is either rich or not quiet then someone is not curious or not wise.
Everyone who is either not humble or not calm is both not old and quiet.
Everyone who is both creative and calm is both generous and patient and vice versa.
If someone is creative then someone is happy and vice versa.
Everyone who is both not ... | John is brave. | neutral | (((rich(john)<~>~quiet(john)))=>(?[X]:((~curious(X)|~wise(X)))))&
(![X]:((~humble(X)<~>~calm(X))=>(~old(X)&quiet(X))))&
(![X]:((creative(X)&calm(X))<=>(generous(X)&patient(X))))&
((?[X]:(creative(X)))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)&tall(X))<=>(calm(X)&~kind(X))))&
((?[X]:((creative(X)&~tall(X))))<=>(?[X]:((curio... | brave(john) | [] | null | 0 |
If alice is not kind then someone is both not humble and quiet and vice versa.
Everyone who is not rich or patient is both not generous and not happy.
If someone is either not patient or not happy then paul is either old or not generous.
Everyone who is both not wise and strong is rich or curious and vice versa.
Everyo... | Paul is funny. | contradiction | ((~kind(alice))<=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~rich(X)|patient(X))=>(~generous(X)&~happy(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>((old(paul)<~>~generous(paul))))&
(![X]:((~wise(X)&strong(X))<=>(rich(X)|curious(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(((~patient(john)<~>~curious(john)))<=>(?[X]:(brave(X))... | funny(paul) | [
"p1",
"p3",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 431457848720077692083311
% SZS output start Proof for 431457848720077692083311
2. ! [X0] : ((patient(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (curious(X0) | rich(X0))) [input p3]
8. ? [X0] : (rich(X0) & funny(X0)) <=> ? [X0] : ... | 0 |
If someone is either not tall or quiet then fred is patient and vice versa.
If someone is not patient then lucy is funny or not kind.
If someone is not humble then paul is funny and vice versa.
Everyone who is both strong and quiet is both not tall and not rich.
If someone is happy then someone is both not happy and no... | John is quiet. | entailment | ((?[X]:((~tall(X)<~>quiet(X))))<=>(patient(fred)))&
((?[X]:(~patient(X)))=>((funny(lucy)|~kind(lucy))))&
((?[X]:(~humble(X)))<=>(funny(paul)))&
(![X]:((strong(X)&quiet(X))=>(~tall(X)&~rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:(patient(X)<=>(~brave(X)|tall(X))))&
(![X]:((~strong(X)<~>~brave... | quiet(john) | [
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 534278549774790666484846
% SZS output start Proof for 534278549774790666484846
12. ? [X0] : (brave(X0) | kind(X0)) <=> (calm(john) & quiet(john)) [input p11]
15. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p14]
21. ? [X0] : (funny(X0) <~> kind(X0)) [input p20... | 0 |
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