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 either wise or not curious then someone is quiet. If paul is either not curious or not tall then someone is both strong and not calm and vice versa. If susan is strong then alice is not humble or generous and vice versa. Everyone who is both strong and tall is funny and vice versa. If someone is curious o... | Lucy is not humble. | contradiction | ((?[X]:((wise(X)<~>~curious(X))))=>(?[X]:(quiet(X))))&
(((~curious(paul)<~>~tall(paul)))<=>(?[X]:((strong(X)&~calm(X)))))&
((strong(susan))<=>((~humble(alice)|generous(alice))))&
(![X]:((strong(X)&tall(X))<=>funny(X)))&
((?[X]:((curious(X)|~humble(X))))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:(~generous(X)=>(brave(X)&~c... | ~humble(lucy) | [
"p7",
"p8",
"p9",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7317884638130302706268138
% SZS output start Proof for 7317884638130302706268138
8. ! [X0] : ((quiet(X0) | ~calm(X0)) => (calm(X0) | patient(X0))) [input p7]
9. ~humble(lucy) => (curious(lucy) <~> ~creative(lucy)) [input p8]
10. ! [X0] : ((curious(X0) | ~old(X0)) => (~happy(X0) & ~creativ... | 0 |
Everyone who is not wise or patient is happy and vice versa.
Everyone who is not old or not quiet is both old and not humble and vice versa.
Everyone who is either not quiet or wise is both curious and generous.
Everyone who is kind or happy is not rich or curious and vice versa.
Everyone who is not patient or funny is... | Susan is generous. | entailment | (![X]:((~wise(X)|patient(X))<=>happy(X)))&
(![X]:((~old(X)|~quiet(X))<=>(old(X)&~humble(X))))&
(![X]:((~quiet(X)<~>wise(X))=>(curious(X)&generous(X))))&
(![X]:((kind(X)|happy(X))<=>(~rich(X)|curious(X))))&
(![X]:((~patient(X)|funny(X))<=>(rich(X)|strong(X))))&
(![X]:((funny(X)<~>wise(X))=>(~old(X)&quiet(X))))&
(![X]:((... | generous(susan) | [
"p1",
"p2",
"p5",
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 47223673259855250682769
% SZS output start Proof for 47223673259855250682769
2. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> (~humble(X0) & old(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) <~> wise(X0)) => (generous(X0) & curious(X0))) [input p2]
6. ! [X0] : ((funny(X0) <~> wise(X0)) => (quiet(X0) ... | 0 |
If alice is curious or funny then lucy is either not tall or not strong and vice versa. If mary is not calm or quiet then someone is not humble and vice versa. Everyone who is not quiet is not rich. Everyone who is either quiet or not calm is both not strong and not quiet and vice versa. Everyone who is wise or calm is... | Susan is not rich. | entailment | (((curious(alice)|funny(alice)))<=>((~tall(lucy)<~>~strong(lucy))))&
(((~calm(mary)|quiet(mary)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
((?[X]:((humble(X)&~patient(X))))<=>((quiet(john)&creative(john))))&
((... | ~rich(susan) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3739536227280007861630600
% SZS output start Proof for 3739536227280007861630600
3. ! [X0] : (~quiet(X0) => ~rich(X0)) [input p2]
23. ~quiet(susan) [input p22]
24. rich(susan) [input hypothesis]
26. ! [X0] : (~rich(X0) | quiet(X0)) [ennf transformation 3]
81. ~rich(X0) | quiet(X0) [cnf tr... | 0 |
Everyone who is both not kind and funny is tall or not rich.
Everyone who is either not old or curious is both quiet and not calm.
If someone is both calm and funny then alice is both calm and generous and vice versa.
Everyone who is brave is either not funny or not old and vice versa.
Everyone who is not patient is no... | Lucy is funny. | neutral | (![X]:((~kind(X)&funny(X))=>(tall(X)|~rich(X))))&
(![X]:((~old(X)<~>curious(X))=>(quiet(X)&~calm(X))))&
((?[X]:((calm(X)&funny(X))))<=>((calm(alice)&generous(alice))))&
(![X]:(brave(X)<=>(~funny(X)<~>~old(X))))&
(![X]:(~patient(X)<=>(~humble(X)|~strong(X))))&
((~kind(alice))<=>(?[X]:((creative(X)|~wise(X)))))&
(((~brav... | funny(lucy) | [] | null | 0 |
Everyone who is either happy or generous is calm and vice versa.
Everyone who is kind or old is not brave and vice versa.
Everyone who is either calm or not calm is both generous and not quiet and vice versa.
If alice is humble or creative then someone is both generous and curious.
If john is generous or old then lucy ... | Paul is not happy. | entailment | (![X]:((happy(X)<~>generous(X))<=>calm(X)))&
(![X]:((kind(X)|old(X))<=>~brave(X)))&
(![X]:((calm(X)<~>~calm(X))<=>(generous(X)&~quiet(X))))&
(((humble(alice)|creative(alice)))=>(?[X]:((generous(X)&curious(X)))))&
(((generous(john)|old(john)))=>((old(lucy)|~strong(lucy))))&
(((~calm(paul)&~old(paul)))=>((brave(paul)&~ca... | ~happy(paul) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7102249978260980943805910
% SZS output start Proof for 7102249978260980943805910
1. ! [X0] : ((happy(X0) <~> generous(X0)) <=> calm(X0)) [input p0]
2. ! [X0] : ((old(X0) | kind(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (~quiet(X0) & generous(X0))) [input p2... | 0 |
If someone is strong then lucy is humble and vice versa. If someone is not strong then john is both humble and not wise and vice versa. Everyone who is not kind or not curious is both rich and not calm. If mary is both not old and not tall then susan is not calm. Everyone who is either curious or strong is patient and ... | Lucy is wise. | entailment | ((?[X]:(strong(X)))<=>(humble(lucy)))&
((?[X]:(~strong(X)))<=>((humble(john)&~wise(john))))&
(![X]:((~kind(X)|~curious(X))=>(rich(X)&~calm(X))))&
(((~old(mary)&~tall(mary)))=>(~calm(susan)))&
(![X]:((curious(X)<~>strong(X))<=>patient(X)))&
((?[X]:((happy(X)<~>old(X))))<=>(~funny(mary)))&
(![X]:(~patient(X)<=>brave(X)))... | wise(lucy) | [
"p4",
"p6",
"p7",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2127974109116441419806203
% SZS output start Proof for 2127974109116441419806203
5. ! [X0] : ((curious(X0) <~> strong(X0)) <=> patient(X0)) [input p4]
7. ! [X0] : (~patient(X0) <=> brave(X0)) [input p6]
8. ! [X0] : (~tall(X0) <=> (~old(X0) & ~funny(X0))) [input p7]
11. (curious(lucy) & ~c... | 0 |
Everyone who is either not old or not kind is patient.
Everyone who is both funny and patient is funny.
If fred is not humble or not patient then susan is either not wise or not patient and vice versa.
Everyone who is funny or rich is both funny and brave.
If fred is not wise or not generous then someone is funny.
If s... | Fred is creative. | entailment | (![X]:((~old(X)<~>~kind(X))=>patient(X)))&
(![X]:((funny(X)&patient(X))=>funny(X)))&
(((~humble(fred)|~patient(fred)))<=>((~wise(susan)<~>~patient(susan))))&
(![X]:((funny(X)|rich(X))=>(funny(X)&brave(X))))&
(((~wise(fred)|~generous(fred)))=>(?[X]:(funny(X))))&
((?[X]:(~humble(X)))=>(?[X]:((creative(X)|~patient(X)))))&... | creative(fred) | [
"p3",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1783411306176930370287644
% SZS output start Proof for 1783411306176930370287644
4. ! [X0] : ((rich(X0) | funny(X0)) => (brave(X0) & funny(X0))) [input p3]
7. ! [X0] : ((quiet(X0) | ~wise(X0)) => (funny(X0) & strong(X0))) [input p6]
8. (quiet(john) & generous(john)) <=> ? [X0] : (~creativ... | 0 |
If someone is both tall and kind then someone is either not brave or kind.
If someone is not funny then john is not happy or happy.
Everyone who is creative or not calm is not kind or not curious and vice versa.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or pati... | Alice is not tall. | entailment | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
((?[X]:(~funny(X)))=>((~happy(john)|happy(john))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(a... | ~tall(alice) | [
"p2",
"p4",
"p5",
"p6",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5558215797430060093458275
% SZS output start Proof for 5558215797430060093458275
3. ! [X0] : ((~calm(X0) | creative(X0)) <=> (~curious(X0) | ~kind(X0))) [input p2]
5. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) [input p4]
6. ! [X0] : (creative(X0) <=> rich(X0)) [input... | 0 |
Everyone who is both generous and not old is wise and vice versa. If mary is not rich then alice is both humble and not humble. If someone is both not generous and not old then lucy is creative or not kind and vice versa. If someone is both rich and not patient then john is both humble and curious and vice versa. If so... | Alice is not curious. | neutral | (![X]:((generous(X)&~old(X))<=>wise(X)))&
((~rich(mary))=>((humble(alice)&~humble(alice))))&
((?[X]:((~generous(X)&~old(X))))<=>((creative(lucy)|~kind(lucy))))&
((?[X]:((rich(X)&~patient(X))))<=>((humble(john)&curious(john))))&
((?[X]:(kind(X)))<=>((~wise(susan)<~>~brave(susan))))&
((?[X]:(creative(X)))=>(?[X]:((old(X)... | ~curious(alice) | [] | null | 0 |
If someone is either not happy or quiet then mary is both not patient and not calm and vice versa.
If paul is both creative and not rich then mary is not tall or creative.
Everyone who is not old or funny is either old or not patient.
If john is not wise then fred is not creative or not tall and vice versa.
Everyone wh... | Lucy is strong. | entailment | ((?[X]:((~happy(X)<~>quiet(X))))<=>((~patient(mary)&~calm(mary))))&
(((creative(paul)&~rich(paul)))=>((~tall(mary)|creative(mary))))&
(![X]:((~old(X)|funny(X))=>(old(X)<~>~patient(X))))&
((~wise(john))<=>((~creative(fred)|~tall(fred))))&
(![X]:(~calm(X)<=>(creative(X)|~wise(X))))&
(![X]:(old(X)<=>(wise(X)&~calm(X))))&
... | strong(lucy) | [
"p7",
"p8",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2730346000019453326671995
% SZS output start Proof for 2730346000019453326671995
8. ! [X0] : ((strong(X0) & kind(X0)) <=> (funny(X0) | ~tall(X0))) [input p7]
9. ! [X0] : ((brave(X0) | old(X0)) => old(X0)) [input p8]
10. ! [X0] : ((~funny(X0) | humble(X0)) <=> ~generous(X0)) [input p9]
13.... | 0 |
Everyone who is both brave and not calm is kind or tall and vice versa. Everyone who is curious or not kind is creative. Everyone who is either curious or kind is not brave or quiet. If someone is either not calm or brave then fred is brave or humble and vice versa. Everyone who is either strong or brave is not tall or... | Paul is not tall. | entailment | (![X]:((brave(X)&~calm(X))<=>(kind(X)|tall(X))))&
(![X]:((curious(X)|~kind(X))=>creative(X)))&
(![X]:((curious(X)<~>kind(X))=>(~brave(X)|quiet(X))))&
((?[X]:((~calm(X)<~>brave(X))))<=>((brave(fred)|humble(fred))))&
(![X]:((strong(X)<~>brave(X))=>(~tall(X)|kind(X))))&
(![X]:((curious(X)|generous(X))=>(humble(X)|~patient... | ~tall(paul) | [
"p0",
"p2",
"p17",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4603322660882353888354106
% SZS output start Proof for 4603322660882353888354106
1. ! [X0] : ((~calm(X0) & brave(X0)) <=> (tall(X0) | kind(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> kind(X0)) => (quiet(X0) | ~brave(X0))) [input p2]
18. ~old(paul) & ~quiet(paul) [input p17]
19. ~curiou... | 0 |
Everyone who is either humble or not humble is kind.
Everyone who is quiet is both creative and tall.
Everyone who is brave or not patient is either rich or curious and vice versa.
If alice is not curious then fred is not wise or wise.
Everyone who is happy is either not quiet or calm.
If alice is not tall or not gener... | Lucy is wise. | contradiction | (![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![X]:(quiet(X)=>(creative(X)&tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)<~>curious(X))))&
((~curious(alice))=>((~wise(fred)|wise(fred))))&
(![X]:(happy(X)=>(~quiet(X)<~>calm(X))))&
(((~tall(alice)|~generous(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)|patient(X... | wise(lucy) | [
"p0",
"p2",
"p6",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8914626664965461423401945
% SZS output start Proof for 8914626664965461423401945
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) => kind(X0)) [input p0]
3. ! [X0] : ((~patient(X0) | brave(X0)) <=> (rich(X0) <~> curious(X0))) [input p2]
7. ! [X0] : ((patient(X0) | ~patient(X0)) => (~quiet(X0) & ... | 0 |
Everyone who is tall is either funny or generous.
Everyone who is both happy and not creative is humble and vice versa.
Everyone who is both not calm and not funny is both strong and not creative and vice versa.
Everyone who is either tall or humble is both generous and not strong and vice versa.
If paul is both funny ... | Susan is happy. | entailment | (![X]:(tall(X)=>(funny(X)<~>generous(X))))&
(![X]:((happy(X)&~creative(X))<=>humble(X)))&
(![X]:((~calm(X)&~funny(X))<=>(strong(X)&~creative(X))))&
(![X]:((tall(X)<~>humble(X))<=>(generous(X)&~strong(X))))&
(((funny(paul)&strong(paul)))=>((rich(paul)<~>patient(paul))))&
(![X]:(~humble(X)=>(wise(X)&brave(X))))&
((rich(a... | happy(susan) | [
"p1",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2680629692131889943680186
% SZS output start Proof for 2680629692131889943680186
2. ! [X0] : ((~creative(X0) & happy(X0)) <=> humble(X0)) [input p1]
6. ! [X0] : (~humble(X0) => (brave(X0) & wise(X0))) [input p5]
20. ~quiet(susan) & ~wise(susan) [input p19]
24. ~happy(susan) [input hypothe... | 0 |
Everyone who is tall or not quiet is either not funny or old and vice versa. Everyone who is not humble or strong is not curious and vice versa. Everyone who is generous or not curious is not rich or kind. Everyone who is either not generous or not happy is both not calm and humble. If someone is tall then susan is hum... | Lucy is rich. | neutral | (![X]:((tall(X)|~quiet(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~humble(X)|strong(X))<=>~curious(X)))&
(![X]:((generous(X)|~curious(X))=>(~rich(X)|kind(X))))&
(![X]:((~generous(X)<~>~happy(X))=>(~calm(X)&humble(X))))&
((?[X]:(tall(X)))<=>(humble(susan)))&
(![X]:((curious(X)|humble(X))<=>(generous(X)|funny(X))))&
((?[X]:(s... | rich(lucy) | [] | null | 0 |
If john is both not calm and tall then alice is humble.
If someone is both not strong and kind then someone is both creative and curious and vice versa.
If someone is not humble or old then mary is both not tall and old.
Everyone who is either not quiet or not calm is not rich or generous and vice versa.
Everyone who i... | Mary is not kind. | contradiction | (((~calm(john)&tall(john)))=>(humble(alice)))&
((?[X]:((~strong(X)&kind(X))))<=>(?[X]:((creative(X)&curious(X)))))&
((?[X]:((~humble(X)|old(X))))=>((~tall(mary)&old(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~rich(X)|generous(X))))&
(![X]:((~calm(X)<~>~creative(X))=>(curious(X)|~calm(X))))&
(![X]:((~curious(X)&~tall(X)... | ~kind(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2447661695140046401319364
% SZS output start Proof for 2447661695140046401319364
10. (~happy(mary) & kind(mary)) <=> ? [X0] : (~kind(X0) | happy(X0)) [input p9]
25. ~kind(mary) [input hypothesis]
55. ((~happy(mary) & kind(mary)) | ! [X0] : (kind(X0) & ~happy(X0))) & (? [X0] : (~kind(X0) |... | 0 |
Everyone who is not generous or not humble is both generous and not patient.
If someone is not creative or not humble then paul is either rich or not tall.
Everyone who is both wise and not happy is either not calm or humble.
Everyone who is creative is both patient and old.
If someone is kind or calm then someone is n... | Mary is tall. | contradiction | (![X]:((~generous(X)|~humble(X))=>(generous(X)&~patient(X))))&
((?[X]:((~creative(X)|~humble(X))))=>((rich(paul)<~>~tall(paul))))&
(![X]:((wise(X)&~happy(X))=>(~calm(X)<~>humble(X))))&
(![X]:(creative(X)=>(patient(X)&old(X))))&
((?[X]:((kind(X)|calm(X))))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:(~funny(X)=>(~wise(X)<~>~p... | tall(mary) | [
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2839166801094845693165174
% SZS output start Proof for 2839166801094845693165174
8. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> (~tall(X0) & patient(X0))) [input p7]
10. ! [X0] : ((curious(X0) | ~old(X0)) => ~tall(X0)) [input p9]
12. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~creative(X0) ... | 0 |
Everyone who is not happy is humble or not strong and vice versa. If john is not humble then paul is both not humble and kind. Everyone who is tall is curious. If someone is not calm then lucy is wise and vice versa. Everyone who is both not humble and patient is either not curious or not calm. Everyone who is both hum... | Lucy is not tall. | neutral | (![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
((~humble(john))=>((~humble(paul)&kind(paul))))&
(![X]:(tall(X)=>curious(X)))&
((?[X]:(~calm(X)))<=>(wise(lucy)))&
(![X]:((~humble(X)&patient(X))=>(~curious(X)<~>~calm(X))))&
(![X]:((humble(X)&~creative(X))=>(~strong(X)&brave(X))))&
(![X]:((humble(X)|happy(X))=>(~tall(X)&gen... | ~tall(lucy) | [] | null | 0 |
Everyone who is both not happy and patient is not creative or curious and vice versa. Everyone who is curious is not strong or not calm. If lucy is brave or patient then someone is both not kind and not tall. If mary is both not old and not humble then someone is not wise. If john is both humble and creative then someo... | Susan is generous. | neutral | (![X]:((~happy(X)&patient(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)=>(~strong(X)|~calm(X))))&
(((brave(lucy)|patient(lucy)))=>(?[X]:((~kind(X)&~tall(X)))))&
(((~old(mary)&~humble(mary)))=>(?[X]:(~wise(X))))&
(((humble(john)&creative(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:(~wise(X)))=>(?[X]:(kind(X))))&
(![X]:... | generous(susan) | [] | null | 0 |
Everyone who is both not wise and not humble is both not quiet and rich and vice versa.
Everyone who is either not generous or wise is curious or not quiet and vice versa.
Everyone who is tall is both not brave and not quiet.
If john is either not generous or quiet then someone is happy or funny.
Everyone who is both r... | Mary is old. | entailment | (![X]:((~wise(X)&~humble(X))<=>(~quiet(X)&rich(X))))&
(![X]:((~generous(X)<~>wise(X))<=>(curious(X)|~quiet(X))))&
(![X]:(tall(X)=>(~brave(X)&~quiet(X))))&
(((~generous(john)<~>quiet(john)))=>(?[X]:((happy(X)|funny(X)))))&
(![X]:((rich(X)&tall(X))=>tall(X)))&
(((~patient(fred)&funny(fred)))<=>(happy(john)))&
(((rich(sus... | old(mary) | [
"p0",
"p2",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7474202251599990988294613
% SZS output start Proof for 7474202251599990988294613
1. ! [X0] : ((~humble(X0) & ~wise(X0)) <=> (rich(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : (tall(X0) => (~quiet(X0) & ~brave(X0))) [input p2]
8. ! [X0] : ((curious(X0) & tall(X0)) <=> (patient(X0) | wise(X0))... | 0 |
If someone is not happy then someone is either not humble or quiet and vice versa. Everyone who is either not strong or creative is not patient or not humble. Everyone who is both patient and not tall is both happy and not tall and vice versa. If someone is generous then someone is both not creative and creative and vi... | Alice is not patient. | contradiction | ((?[X]:(~happy(X)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:((~strong(X)<~>creative(X))=>(~patient(X)|~humble(X))))&
(![X]:((patient(X)&~tall(X))<=>(happy(X)&~tall(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:(tall(X)<=>calm(X)))&
(((generous(susan)&patient(susan)))<=>((~patient(alice)&... | ~patient(alice) | [
"p3",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2302362617286196820750724
% SZS output start Proof for 2302362617286196820750724
4. ? [X0] : generous(X0) <=> ? [X0] : (creative(X0) & ~creative(X0)) [input p3]
9. (~old(alice) <~> ~patient(alice)) <=> (~generous(fred) | old(fred)) [input p8]
18. ~old(alice) & tall(alice) [input p17]
24. ... | 0 |
Everyone who is both not happy and not funny is either generous or tall and vice versa.
Everyone who is both tall and not kind is not strong.
Everyone who is not humble or curious is either not strong or strong.
Everyone who is both creative and wise is brave.
If someone is both not creative and patient then someone is... | Susan is quiet. | contradiction | (![X]:((~happy(X)&~funny(X))<=>(generous(X)<~>tall(X))))&
(![X]:((tall(X)&~kind(X))=>~strong(X)))&
(![X]:((~humble(X)|curious(X))=>(~strong(X)<~>strong(X))))&
(![X]:((creative(X)&wise(X))=>brave(X)))&
((?[X]:((~creative(X)&patient(X))))<=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:((patient(X)<~>quiet(X))<=>(kind(X)|~qui... | quiet(susan) | [
"p5",
"p6",
"p7",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1395654134746607926162483
% SZS output start Proof for 1395654134746607926162483
6. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (~quiet(X0) | kind(X0))) [input p5]
7. ? [X0] : (~wise(X0) <~> patient(X0)) <=> (~brave(lucy) & ~happy(lucy)) [input p6]
8. (~quiet(susan) & kind(susan)) <=> ? [X0... | 0 |
If john is either not rich or creative then mary is both curious and not curious and vice versa.
If susan is both not creative and not wise then someone is both not generous and old and vice versa.
If someone is both not wise and not tall then fred is not happy.
If someone is creative or wise then lucy is not happy or ... | John is patient. | entailment | (((~rich(john)<~>creative(john)))<=>((curious(mary)&~curious(mary))))&
(((~creative(susan)&~wise(susan)))<=>(?[X]:((~generous(X)&old(X)))))&
((?[X]:((~wise(X)&~tall(X))))=>(~happy(fred)))&
((?[X]:((creative(X)|wise(X))))=>((~happy(lucy)|~rich(lucy))))&
(![X]:(generous(X)=>(~brave(X)&kind(X))))&
(![X]:(old(X)=>(~funny(X... | patient(john) | [
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3130238981645656845756263
% SZS output start Proof for 3130238981645656845756263
9. ! [X0] : ((generous(X0) & ~patient(X0)) <=> ~creative(X0)) [input p8]
13. ! [X0] : (~generous(X0) <=> (happy(X0) & generous(X0))) [input p12]
14. ! [X0] : ((~humble(X0) <~> ~creative(X0)) <=> ~humble(X0)) ... | 0 |
Everyone who is both wise and kind is not humble or not old and vice versa.
Everyone who is both funny and generous is curious or not generous and vice versa.
If someone is creative then lucy is rich or happy and vice versa.
Everyone who is not wise is kind or not generous.
If mary is either not wise or not calm then s... | John is quiet. | contradiction | (![X]:((wise(X)&kind(X))<=>(~humble(X)|~old(X))))&
(![X]:((funny(X)&generous(X))<=>(curious(X)|~generous(X))))&
((?[X]:(creative(X)))<=>((rich(lucy)|happy(lucy))))&
(![X]:(~wise(X)=>(kind(X)|~generous(X))))&
(((~wise(mary)<~>~calm(mary)))<=>(~wise(susan)))&
(![X]:((humble(X)&~rich(X))=>(creative(X)|patient(X))))&
(![X]... | quiet(john) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1992879754404959645929133
% SZS output start Proof for 1992879754404959645929133
2. ! [X0] : ((generous(X0) & funny(X0)) <=> (~generous(X0) | curious(X0))) [input p1]
13. (~quiet(john) & ~creative(john)) <=> generous(paul) [input p12]
25. quiet(john) [input hypothesis]
41. ! [X0] : (((gen... | 0 |
If someone is calm then lucy is patient and vice versa. Everyone who is not funny is not wise and vice versa. If someone is tall then john is both not wise and strong and vice versa. If mary is both generous and not humble then someone is not curious or patient and vice versa. Everyone who is either humble or not gener... | Mary is not curious. | contradiction | ((?[X]:(calm(X)))<=>(patient(lucy)))&
(![X]:(~funny(X)<=>~wise(X)))&
((?[X]:(tall(X)))<=>((~wise(john)&strong(john))))&
(((generous(mary)&~humble(mary)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((humble(X)<~>~generous(X))<=>~kind(X)))&
(![X]:((~old(X)<~>strong(X))<=>(rich(X)<~>~generous(X))))&
(![X]:((~rich(X)|brav... | ~curious(mary) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4355723531527036527971965
% SZS output start Proof for 4355723531527036527971965
4. (~humble(mary) & generous(mary)) <=> ? [X0] : (patient(X0) | ~curious(X0)) [input p3]
5. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~kind(X0)) [input p4]
7. ! [X0] : ((brave(X0) | ~rich(X0)) <=> (humble(... | 0 |
If someone is both funny and not funny then someone is either not generous or not humble and vice versa. If someone is brave then john is kind and vice versa. If someone is strong then someone is strong or wise. If someone is not humble or rich then someone is not happy or brave. Everyone who is either creative or wise... | Fred is humble. | entailment | ((?[X]:((funny(X)&~funny(X))))<=>(?[X]:((~generous(X)<~>~humble(X)))))&
((?[X]:(brave(X)))<=>(kind(john)))&
((?[X]:(strong(X)))=>(?[X]:((strong(X)|wise(X)))))&
((?[X]:((~humble(X)|rich(X))))=>(?[X]:((~happy(X)|brave(X)))))&
(![X]:((creative(X)<~>wise(X))<=>(~quiet(X)&~old(X))))&
(![X]:((creative(X)<~>~quiet(X))=>(~curi... | humble(fred) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5945188788931088566488072
% SZS output start Proof for 5945188788931088566488072
1. ? [X0] : (~funny(X0) & funny(X0)) <=> ? [X0] : (~generous(X0) <~> ~humble(X0)) [input p0]
16. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> (~humble(X0) & quiet(X0))) [input p15]
24. ~humble(fred) [input hypo... | 0 |
If mary is not wise or kind then someone is not tall or not wise and vice versa. Everyone who is either wise or brave is either calm or not patient. Everyone who is not generous is both patient and not tall. If someone is not strong then lucy is both quiet and not rich and vice versa. Everyone who is curious or brave i... | Alice is quiet. | contradiction | (((~wise(mary)|kind(mary)))<=>(?[X]:((~tall(X)|~wise(X)))))&
(![X]:((wise(X)<~>brave(X))=>(calm(X)<~>~patient(X))))&
(![X]:(~generous(X)=>(patient(X)&~tall(X))))&
((?[X]:(~strong(X)))<=>((quiet(lucy)&~rich(lucy))))&
(![X]:((curious(X)|brave(X))=>(calm(X)&brave(X))))&
((?[X]:((~calm(X)|~old(X))))=>(~happy(fred)))&
(((~o... | quiet(alice) | [
"p1",
"p2",
"p4",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5435295389610376887463290
% SZS output start Proof for 5435295389610376887463290
2. ! [X0] : ((wise(X0) <~> brave(X0)) => (calm(X0) <~> ~patient(X0))) [input p1]
3. ! [X0] : (~generous(X0) => (~tall(X0) & patient(X0))) [input p2]
5. ! [X0] : ((brave(X0) | curious(X0)) => (brave(X0) & calm... | 0 |
Everyone who is either humble or wise is either wise or tall.
If someone is patient then lucy is either not curious or not old and vice versa.
Everyone who is wise or quiet is not kind.
Everyone who is not patient or creative is not generous.
Everyone who is not old is not patient or not funny.
Everyone who is both not... | John is patient. | neutral | (![X]:((humble(X)<~>wise(X))=>(wise(X)<~>tall(X))))&
((?[X]:(patient(X)))<=>((~curious(lucy)<~>~old(lucy))))&
(![X]:((wise(X)|quiet(X))=>~kind(X)))&
(![X]:((~patient(X)|creative(X))=>~generous(X)))&
(![X]:(~old(X)=>(~patient(X)|~funny(X))))&
(![X]:((~rich(X)&curious(X))=>rich(X)))&
(((creative(susan)|tall(susan)))<=>(?... | patient(john) | [] | null | 0 |
If someone is either not happy or not funny then someone is both patient and not quiet and vice versa.
Everyone who is either rich or calm is either not happy or patient and vice versa.
If someone is both not patient and not strong then someone is both funny and not wise.
Everyone who is either wise or quiet is curious... | Fred is not strong. | neutral | ((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:((rich(X)<~>calm(X))<=>(~happy(X)<~>patient(X))))&
((?[X]:((~patient(X)&~strong(X))))=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((wise(X)<~>quiet(X))=>curious(X)))&
(![X]:((~old(X)&strong(X))=>(wise(X)|~brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>hum... | ~strong(fred) | [] | null | 0 |
Everyone who is rich or not brave is happy and vice versa.
If paul is either not quiet or funny then lucy is old or patient and vice versa.
Everyone who is not humble or creative is both funny and calm.
Everyone who is either not kind or generous is not kind or tall.
If mary is either curious or strong then paul is eit... | Paul is generous. | contradiction | (![X]:((rich(X)|~brave(X))<=>happy(X)))&
(((~quiet(paul)<~>funny(paul)))<=>((old(lucy)|patient(lucy))))&
(![X]:((~humble(X)|creative(X))=>(funny(X)&calm(X))))&
(![X]:((~kind(X)<~>generous(X))=>(~kind(X)|tall(X))))&
(((curious(mary)<~>strong(mary)))<=>((happy(paul)<~>~wise(paul))))&
(((kind(paul)<~>quiet(paul)))=>(?[X]:... | generous(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5484828460576225339185762
% SZS output start Proof for 5484828460576225339185762
10. ! [X0] : ((~generous(X0) & kind(X0)) <=> (generous(X0) | curious(X0))) [input p9]
25. generous(paul) [input hypothesis]
55. ! [X0] : (((~generous(X0) & kind(X0)) | (~generous(X0) & ~curious(X0))) & ((gene... | 0 |
Everyone who is not brave is both not rich and creative and vice versa.
If someone is either not calm or not happy then someone is either old or creative.
Everyone who is either not patient or kind is strong or not curious and vice versa.
If someone is creative or humble then someone is quiet or not creative.
Everyone ... | Alice is not patient. | neutral | (![X]:(~brave(X)<=>(~rich(X)&creative(X))))&
((?[X]:((~calm(X)<~>~happy(X))))=>(?[X]:((old(X)<~>creative(X)))))&
(![X]:((~patient(X)<~>kind(X))<=>(strong(X)|~curious(X))))&
((?[X]:((creative(X)|humble(X))))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:((quiet(X)<~>~old(X))<=>(~rich(X)<~>quiet(X))))&
(![X]:((~tall(X)<~>fun... | ~patient(alice) | [] | null | 0 |
Everyone who is either quiet or curious is happy. If someone is both not patient and tall then susan is both not humble and not tall and vice versa. If someone is not strong or not funny then lucy is either rich or strong. Everyone who is both not funny and not strong is kind. Everyone who is both funny and not humble ... | Fred is not patient. | contradiction | (![X]:((quiet(X)<~>curious(X))=>happy(X)))&
((?[X]:((~patient(X)&tall(X))))<=>((~humble(susan)&~tall(susan))))&
((?[X]:((~strong(X)|~funny(X))))=>((rich(lucy)<~>strong(lucy))))&
(![X]:((~funny(X)&~strong(X))=>kind(X)))&
(![X]:((funny(X)&~humble(X))<=>patient(X)))&
((curious(susan))<=>(?[X]:((rich(X)|~rich(X)))))&
(![X]... | ~patient(fred) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1631911948602020528246120
% SZS output start Proof for 1631911948602020528246120
8. ! [X0] : ((~calm(X0) | ~patient(X0)) => ~kind(X0)) [input p7]
15. ! [X0] : (~kind(X0) => (wise(X0) & patient(X0))) [input p14]
19. ~patient(fred) [input hypothesis]
26. ! [X0] : (~kind(X0) | (calm(X0) & pa... | 0 |
Everyone who is either not creative or brave is not old.
If fred is not strong then john is not brave and vice versa.
Everyone who is not patient is both tall and not happy and vice versa.
If mary is wise or not quiet then paul is either not calm or brave and vice versa.
Everyone who is generous or not strong is both n... | Alice is quiet. | contradiction | (![X]:((~creative(X)<~>brave(X))=>~old(X)))&
((~strong(fred))<=>(~brave(john)))&
(![X]:(~patient(X)<=>(tall(X)&~happy(X))))&
(((wise(mary)|~quiet(mary)))<=>((~calm(paul)<~>brave(paul))))&
(![X]:((generous(X)|~strong(X))<=>(~quiet(X)&kind(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~... | quiet(alice) | [
"p2",
"p5",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 328194519406065970276922
% SZS output start Proof for 328194519406065970276922
3. ! [X0] : (~patient(X0) <=> (~happy(X0) & tall(X0))) [input p2]
6. ! [X0] : ((tall(X0) <~> ~funny(X0)) <=> (~funny(X0) & ~patient(X0))) [input p5]
11. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> ~calm(X0)) [in... | 0 |
Everyone who is curious is either not brave or not calm and vice versa.
If someone is kind or patient then someone is both not rich and patient and vice versa.
Everyone who is strong is creative.
Everyone who is both not kind and calm is not calm and vice versa.
If someone is either happy or not strong then lucy is eit... | Lucy is not rich. | neutral | (![X]:(curious(X)<=>(~brave(X)<~>~calm(X))))&
((?[X]:((kind(X)|patient(X))))<=>(?[X]:((~rich(X)&patient(X)))))&
(![X]:(strong(X)=>creative(X)))&
(![X]:((~kind(X)&calm(X))<=>~calm(X)))&
((?[X]:((happy(X)<~>~strong(X))))=>((~curious(lucy)<~>~rich(lucy))))&
(((strong(mary)|~humble(mary)))=>(?[X]:((~tall(X)<~>~creative(X))... | ~rich(lucy) | [] | null | 0 |
Everyone who is both brave and not strong is not calm or curious and vice versa. If lucy is humble or generous then someone is not generous or creative. If john is both not rich and kind then someone is both strong and not kind and vice versa. If someone is not calm then paul is either wise or not rich and vice versa. ... | Paul is kind. | neutral | (![X]:((brave(X)&~strong(X))<=>(~calm(X)|curious(X))))&
(((humble(lucy)|generous(lucy)))=>(?[X]:((~generous(X)|creative(X)))))&
(((~rich(john)&kind(john)))<=>(?[X]:((strong(X)&~kind(X)))))&
((?[X]:(~calm(X)))<=>((wise(paul)<~>~rich(paul))))&
(![X]:((~patient(X)|old(X))<=>(patient(X)<~>strong(X))))&
((?[X]:((~old(X)<~>g... | kind(paul) | [] | null | 0 |
Everyone who is not strong or not brave is happy and vice versa.
If paul is both not curious and strong then someone is both not humble and happy.
If paul is both calm and not old then someone is curious and vice versa.
Everyone who is not wise is not quiet.
If someone is quiet or not strong then someone is both not qu... | Paul is not rich. | entailment | (![X]:((~strong(X)|~brave(X))<=>happy(X)))&
(((~curious(paul)&strong(paul)))=>(?[X]:((~humble(X)&happy(X)))))&
(((calm(paul)&~old(paul)))<=>(?[X]:(curious(X))))&
(![X]:(~wise(X)=>~quiet(X)))&
((?[X]:((quiet(X)|~strong(X))))<=>(?[X]:((~quiet(X)&~calm(X)))))&
(((humble(paul)|~kind(paul)))<=>(?[X]:((funny(X)<~>old(X)))))&... | ~rich(paul) | [
"p0",
"p1",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2680216162401406694690367
% SZS output start Proof for 2680216162401406694690367
1. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> happy(X0)) [input p0]
2. (strong(paul) & ~curious(paul)) => ? [X0] : (happy(X0) & ~humble(X0)) [input p1]
11. ! [X0] : ((brave(X0) & rich(X0)) <=> (~curious(X0) & f... | 0 |
Everyone who is both old and not quiet is either rich or not strong and vice versa.
If lucy is not tall or not kind then lucy is not kind.
Everyone who is either not patient or not creative is not wise or calm and vice versa.
Everyone who is either not funny or not quiet is both not rich and not quiet.
Everyone who is ... | John is not creative. | contradiction | (![X]:((old(X)&~quiet(X))<=>(rich(X)<~>~strong(X))))&
(((~tall(lucy)|~kind(lucy)))=>(~kind(lucy)))&
(![X]:((~patient(X)<~>~creative(X))<=>(~wise(X)|calm(X))))&
(![X]:((~funny(X)<~>~quiet(X))=>(~rich(X)&~quiet(X))))&
(![X]:(old(X)=>(old(X)|~happy(X))))&
(![X]:((brave(X)&happy(X))<=>(curious(X)&~rich(X))))&
((?[X]:((humb... | ~creative(john) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4784829814026968140804130
% SZS output start Proof for 4784829814026968140804130
16. ? [X0] : (~curious(X0) | ~tall(X0)) => creative(john) [input p15]
17. ? [X0] : (~wise(X0) & ~tall(X0)) [input p16]
25. ~creative(john) [input hypothesis]
39. creative(john) | ! [X0] : (curious(X0) & tall(... | 0 |
If john is both humble and not humble then someone is either happy or not funny and vice versa.
Everyone who is not old or not tall is calm or funny and vice versa.
If someone is either rich or brave then alice is either funny or wise.
Everyone who is not strong is both wise and not kind.
Everyone who is either not qui... | Paul is not old. | contradiction | (((humble(john)&~humble(john)))<=>(?[X]:((happy(X)<~>~funny(X)))))&
(![X]:((~old(X)|~tall(X))<=>(calm(X)|funny(X))))&
((?[X]:((rich(X)<~>brave(X))))=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave... | ~old(paul) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8967489575524696480528274
% SZS output start Proof for 8967489575524696480528274
4. ! [X0] : (~strong(X0) => (~kind(X0) & wise(X0))) [input p3]
7. ! [X0] : (rich(X0) <=> (wise(X0) <~> happy(X0))) [input p6]
8. ! [X0] : (~rich(X0) <=> ~old(X0)) [input p7]
9. ? [X0] : ~generous(X0) <=> ? [X... | 0 |
Everyone who is not wise is both not quiet and not brave and vice versa.
If someone is both strong and funny then someone is both wise and not kind and vice versa.
Everyone who is generous or patient is not strong or happy and vice versa.
If mary is not humble then someone is not brave and vice versa.
If susan is not o... | Alice is calm. | contradiction | (![X]:(~wise(X)<=>(~quiet(X)&~brave(X))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((generous(X)|patient(X))<=>(~strong(X)|happy(X))))&
((~humble(mary))<=>(?[X]:(~brave(X))))&
((~old(susan))=>((~humble(alice)&strong(alice))))&
(![X]:((~strong(X)&happy(X))<=>(tall(X)&humble(X))))&
((?[X]:((c... | calm(alice) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6804263812123616071270381
% SZS output start Proof for 6804263812123616071270381
1. ! [X0] : (~wise(X0) <=> (~brave(X0) & ~quiet(X0))) [input p0]
9. ! [X0] : ((wise(X0) | ~brave(X0)) => (~funny(X0) & ~calm(X0))) [input p8]
23. calm(alice) [input hypothesis]
29. ! [X0] : ((~funny(X0) & ~ca... | 0 |
Everyone who is brave or not strong is not old or tall and vice versa. If lucy is both calm and not creative then someone is both funny and old. If mary is both not rich and creative then susan is not happy or not creative and vice versa. If fred is curious or wise then someone is both happy and old. If someone is stro... | Fred is curious. | contradiction | (![X]:((brave(X)|~strong(X))<=>(~old(X)|tall(X))))&
(((calm(lucy)&~creative(lucy)))=>(?[X]:((funny(X)&old(X)))))&
(((~rich(mary)&creative(mary)))<=>((~happy(susan)|~creative(susan))))&
(((curious(fred)|wise(fred)))=>(?[X]:((happy(X)&old(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~kind(X)&c... | curious(fred) | [
"p3",
"p4",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8486061920995279625618753
% SZS output start Proof for 8486061920995279625618753
4. (wise(fred) | curious(fred)) => ? [X0] : (old(X0) & happy(X0)) [input p3]
5. ? [X0] : strong(X0) => ? [X0] : (patient(X0) & ~patient(X0)) [input p4]
12. ! [X0] : (funny(X0) <=> (~kind(X0) & ~strong(X0))) [... | 0 |
If someone is either not rich or not calm then lucy is happy. Everyone who is curious is both calm and kind and vice versa. If susan is wise or brave then someone is both happy and not quiet. Everyone who is happy is either not generous or tall and vice versa. If mary is not tall then alice is both not generous and not... | Susan is not happy. | entailment | ((?[X]:((~rich(X)<~>~calm(X))))=>(happy(lucy)))&
(![X]:(curious(X)<=>(calm(X)&kind(X))))&
(((wise(susan)|brave(susan)))=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:(happy(X)<=>(~generous(X)<~>tall(X))))&
((~tall(mary))<=>((~generous(alice)&~rich(alice))))&
((?[X]:(~generous(X)))=>(?[X]:((funny(X)|kind(X)))))&
(![X]:((rich(X... | ~happy(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5677580650570891767841732
% SZS output start Proof for 5677580650570891767841732
9. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> (rich(X0) | ~rich(X0))) [input p8]
19. happy(susan) [input hypothesis]
43. ! [X0] : (((~happy(X0) & ~quiet(X0)) | (~rich(X0) & rich(X0))) & ((rich(X0) | ~rich(X0)) |... | 0 |
Everyone who is not brave or calm is brave or not funny and vice versa. Everyone who is not creative is rich or patient. If someone is both generous and not brave then someone is both creative and quiet. If fred is not strong or not funny then paul is old and vice versa. Everyone who is not happy is both wise and not o... | Alice is tall. | neutral | (![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(X)<=>strong(X)))&
(![X]:((~brave(X)<~>wise(X))<=>(~cr... | tall(alice) | [] | null | 0 |
Everyone who is kind is not creative or not curious. If someone is kind then someone is either wise or not quiet and vice versa. If someone is both not calm and old then someone is not creative or not old. Everyone who is both quiet and not calm is either calm or not strong. If lucy is not happy then susan is not wise ... | Mary is happy. | entailment | (![X]:(kind(X)=>(~creative(X)|~curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((quiet(X)&~calm(X))=>(calm(X)<~>~strong(X))))&
((~happy(lucy))=>((~wise(susan)|strong(susan))))&
(![X]:((~funny(X)|creative(X))<=>kind(X)))&
(![X]:((ta... | happy(mary) | [
"p0",
"p3",
"p5",
"p9",
"p13",
"p14",
"p18",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2457794295976751150978824
% SZS output start Proof for 2457794295976751150978824
1. ! [X0] : (kind(X0) => (~curious(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (calm(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> kind(X0)) [input... | 0 |
If alice is funny then someone is not kind and vice versa. Everyone who is not kind is both old and not calm and vice versa. Everyone who is not strong is either not funny or happy. Everyone who is both creative and happy is both kind and brave and vice versa. If someone is either not quiet or old then someone is both ... | Susan is strong. | contradiction | ((funny(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~kind(X)<=>(old(X)&~calm(X))))&
(![X]:(~strong(X)=>(~funny(X)<~>happy(X))))&
(![X]:((creative(X)&happy(X))<=>(kind(X)&brave(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>(?[X]:((~old(X)&curious(X)))))&
(((tall(lucy)&~calm(lucy)))=>(?[X]:(~brave(X))))&
(((~old(susan)&patient(susan))... | strong(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3046710252210678904230483
% SZS output start Proof for 3046710252210678904230483
9. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (wise(X0) & ~strong(X0))) [input p8]
23. strong(susan) [input hypothesis]
63. ! [X0] : (((strong(X0) | ~quiet(X0)) | (~wise(X0) | strong(X0))) & ((wise(X0) & ~strong... | 0 |
Everyone who is both brave and humble is calm or not tall.
Everyone who is either not patient or not quiet is not tall or patient and vice versa.
Everyone who is either not curious or strong is either old or happy and vice versa.
Everyone who is either happy or patient is happy or not creative.
If someone is both not c... | Paul is not generous. | entailment | (![X]:((brave(X)&humble(X))=>(calm(X)|~tall(X))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~tall(X)|patient(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(old(X)<~>happy(X))))&
(![X]:((happy(X)<~>patient(X))=>(happy(X)|~creative(X))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~patient(mary)|~funny(mary))))&
(((old(john)|~brave(joh... | ~generous(paul) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6777344991116499834352059
% SZS output start Proof for 6777344991116499834352059
12. ? [X0] : generous(X0) <=> ? [X0] : (brave(X0) & ~creative(X0)) [input p11]
14. ! [X0] : ((old(X0) | ~funny(X0)) <=> (brave(X0) <~> ~creative(X0))) [input p13]
16. ! [X0] : (~funny(X0) <=> (~creative(X0) |... | 0 |
If susan is both not generous and not strong then mary is not patient or not kind and vice versa. If someone is generous or calm then someone is both not humble and funny. Everyone who is not old or not brave is both not calm and not kind and vice versa. Everyone who is brave is not funny. If lucy is not happy or patie... | Susan is kind. | contradiction | (((~generous(susan)&~strong(susan)))<=>((~patient(mary)|~kind(mary))))&
((?[X]:((generous(X)|calm(X))))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((~old(X)|~brave(X))<=>(~calm(X)&~kind(X))))&
(![X]:(brave(X)=>~funny(X)))&
(((~happy(lucy)|patient(lucy)))=>(humble(fred)))&
(![X]:((tall(X)&old(X))=>(generous(X)&~funny(X))))... | kind(susan) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2737002336002303330780753
% SZS output start Proof for 2737002336002303330780753
3. ! [X0] : ((~brave(X0) | ~old(X0)) <=> (~kind(X0) & ~calm(X0))) [input p2]
16. ! [X0] : ((kind(X0) | wise(X0)) => (~brave(X0) & ~patient(X0))) [input p15]
25. kind(susan) [input hypothesis]
34. ! [X0] : ((~... | 0 |
Everyone who is either generous or wise is both not creative and calm. Everyone who is funny is both humble and not humble and vice versa. If john is not happy or patient then mary is not creative and vice versa. If mary is both not brave and not kind then someone is rich or not strong and vice versa. If someone is ric... | Mary is calm. | neutral | (![X]:((generous(X)<~>wise(X))=>(~creative(X)&calm(X))))&
(![X]:(funny(X)<=>(humble(X)&~humble(X))))&
(((~happy(john)|patient(john)))<=>(~creative(mary)))&
(((~brave(mary)&~kind(mary)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((rich(X)|~strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((patient(X)|generous(X))=>creative(X))... | calm(mary) | [] | null | 0 |
Everyone who is either creative or not strong is brave and vice versa.
Everyone who is not funny or quiet is both not humble and rich and vice versa.
Everyone who is both not generous and not brave is happy or curious and vice versa.
Everyone who is curious is not humble or not old.
Everyone who is either humble or hap... | Susan is not curious. | neutral | (![X]:((creative(X)<~>~strong(X))<=>brave(X)))&
(![X]:((~funny(X)|quiet(X))<=>(~humble(X)&rich(X))))&
(![X]:((~generous(X)&~brave(X))<=>(happy(X)|curious(X))))&
(![X]:(curious(X)=>(~humble(X)|~old(X))))&
(![X]:((humble(X)<~>happy(X))=>(~generous(X)|~happy(X))))&
(((~tall(john)<~>generous(john)))<=>(?[X]:(strong(X))))&
... | ~curious(susan) | [] | null | 0 |
Everyone who is kind is both quiet and not kind and vice versa.
If someone is not quiet then someone is not brave and vice versa.
If someone is either wise or generous then mary is funny and vice versa.
Everyone who is both rich and tall is creative or not strong.
If someone is happy then susan is curious or wise.
Ever... | Susan is not tall. | entailment | (![X]:(kind(X)<=>(quiet(X)&~kind(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(~brave(X))))&
((?[X]:((wise(X)<~>generous(X))))<=>(funny(mary)))&
(![X]:((rich(X)&tall(X))=>(creative(X)|~strong(X))))&
((?[X]:(happy(X)))=>((curious(susan)|wise(susan))))&
(![X]:(~calm(X)=>wise(X)))&
((?[X]:((tall(X)|~funny(X))))=>((tall(alice)&quiet... | ~tall(susan) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2401193955679019660269701
% SZS output start Proof for 2401193955679019660269701
1. ! [X0] : (kind(X0) <=> (~kind(X0) & quiet(X0))) [input p0]
7. ? [X0] : (~funny(X0) | tall(X0)) => (quiet(alice) & tall(alice)) [input p6]
22. tall(susan) [input hypothesis]
30. (quiet(alice) & tall(alice))... | 0 |
If someone is funny then susan is both patient and not curious. Everyone who is both not strong and not tall is either not wise or brave. If lucy is both not strong and not brave then someone is not brave or not rich. Everyone who is either not patient or humble is both creative and not curious and vice versa. If someo... | Paul is generous. | contradiction | ((?[X]:(funny(X)))=>((patient(susan)&~curious(susan))))&
(![X]:((~strong(X)&~tall(X))=>(~wise(X)<~>brave(X))))&
(((~strong(lucy)&~brave(lucy)))=>(?[X]:((~brave(X)|~rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(creative(X)&~curious(X))))&
((?[X]:((~humble(X)<~>~curious(X))))=>((~strong(alice)&rich(alice))))&
(((~quie... | generous(paul) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2567697927497866498885900
% SZS output start Proof for 2567697927497866498885900
12. ! [X0] : (~generous(X0) <=> (curious(X0) | creative(X0))) [input p11]
20. creative(paul) [input p19]
25. generous(paul) [input hypothesis]
61. ! [X0] : ((~generous(X0) | (~curious(X0) & ~creative(X0))) & ... | 0 |
Everyone who is either not funny or not creative is not tall. If fred is quiet or generous then fred is not funny. Everyone who is not wise is not creative or humble. Everyone who is not brave or not humble is generous or wise and vice versa. If susan is kind then someone is rich or not tall. Everyone who is humble is ... | Susan is brave. | neutral | (![X]:((~funny(X)<~>~creative(X))=>~tall(X)))&
(((quiet(fred)|generous(fred)))=>(~funny(fred)))&
(![X]:(~wise(X)=>(~creative(X)|humble(X))))&
(![X]:((~brave(X)|~humble(X))<=>(generous(X)|wise(X))))&
((kind(susan))=>(?[X]:((rich(X)|~tall(X)))))&
(![X]:(humble(X)<=>(generous(X)<~>kind(X))))&
(((brave(paul)|old(paul)))<=>... | brave(susan) | [] | null | 0 |
Everyone who is not old is both rich and strong and vice versa.
If someone is either not old or not wise then fred is either not kind or tall.
If someone is not rich then susan is not happy.
Everyone who is both not creative and not strong is both not humble and old and vice versa.
If paul is either calm or funny then ... | Alice is not quiet. | neutral | (![X]:(~old(X)<=>(rich(X)&strong(X))))&
((?[X]:((~old(X)<~>~wise(X))))=>((~kind(fred)<~>tall(fred))))&
((?[X]:(~rich(X)))=>(~happy(susan)))&
(![X]:((~creative(X)&~strong(X))<=>(~humble(X)&old(X))))&
(((calm(paul)<~>funny(paul)))=>((~rich(alice)&humble(alice))))&
(![X]:((happy(X)|~quiet(X))=>(~patient(X)|wise(X))))&
(![... | ~quiet(alice) | [] | null | 0 |
If someone is both brave and curious then susan is not humble or curious and vice versa. Everyone who is generous is generous or not kind and vice versa. If someone is both kind and quiet then someone is strong or not old. Everyone who is both old and not calm is not rich or not funny and vice versa. Everyone who is bo... | Mary is not kind. | neutral | ((?[X]:((brave(X)&curious(X))))<=>((~humble(susan)|curious(susan))))&
(![X]:(generous(X)<=>(generous(X)|~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:((old(X)&~calm(X))<=>(~rich(X)|~funny(X))))&
(![X]:((rich(X)&~wise(X))=>(curious(X)&quiet(X))))&
(((curious(john)&old(john)))<=>(rich(su... | ~kind(mary) | [] | null | 0 |
If someone is both creative and happy then susan is not generous.
Everyone who is not brave or humble is humble.
If paul is funny then fred is both brave and not patient and vice versa.
Everyone who is either not old or not humble is both not curious and rich and vice versa.
Everyone who is both not tall and generous i... | Lucy is not happy. | neutral | ((?[X]:((creative(X)&happy(X))))=>(~generous(susan)))&
(![X]:((~brave(X)|humble(X))=>humble(X)))&
((funny(paul))<=>((brave(fred)&~patient(fred))))&
(![X]:((~old(X)<~>~humble(X))<=>(~curious(X)&rich(X))))&
(![X]:((~tall(X)&generous(X))=>(~patient(X)|~humble(X))))&
(((~old(paul)|~curious(paul)))<=>(~happy(mary)))&
(![X]:... | ~happy(lucy) | [] | null | 0 |
If someone is both not rich and patient then lucy is tall and vice versa.
If someone is patient or not creative then lucy is either humble or strong and vice versa.
If someone is not patient then someone is creative or curious.
Everyone who is either humble or not curious is not happy or not tall and vice versa.
Everyo... | John is rich. | contradiction | ((?[X]:((~rich(X)&patient(X))))<=>(tall(lucy)))&
((?[X]:((patient(X)|~creative(X))))<=>((humble(lucy)<~>strong(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)|curious(X)))))&
(![X]:((humble(X)<~>~curious(X))<=>(~happy(X)|~tall(X))))&
(![X]:((happy(X)|funny(X))=>(~funny(X)<~>~rich(X))))&
(![X]:((strong(X)&quiet(X))... | rich(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2869255457563073313235656
% SZS output start Proof for 2869255457563073313235656
5. ! [X0] : ((funny(X0) | happy(X0)) => (~funny(X0) <~> ~rich(X0))) [input p4]
7. ? [X0] : ~funny(X0) <=> (humble(paul) & ~humble(paul)) [input p6]
25. rich(john) [input hypothesis]
33. ! [X0] : ((~funny(X0) ... | 0 |
Everyone who is kind or curious is both funny and not humble and vice versa. Everyone who is generous is not old and vice versa. If someone is both creative and happy then lucy is both funny and patient. Everyone who is funny or not quiet is both curious and rich and vice versa. If someone is not patient then paul is n... | Lucy is patient. | neutral | (![X]:((kind(X)|curious(X))<=>(funny(X)&~humble(X))))&
(![X]:(generous(X)<=>~old(X)))&
((?[X]:((creative(X)&happy(X))))=>((funny(lucy)&patient(lucy))))&
(![X]:((funny(X)|~quiet(X))<=>(curious(X)&rich(X))))&
((?[X]:(~patient(X)))<=>(~tall(paul)))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((curious(X)&~strong(X)))))&
(![X]:(... | patient(lucy) | [] | null | 0 |
Everyone who is both not patient and creative is kind or creative and vice versa. If someone is not creative then someone is both not humble and not creative. If someone is either old or not patient then someone is funny and vice versa. If fred is both not rich and curious then paul is both happy and not tall and vice ... | John is old. | neutral | (![X]:((~patient(X)&creative(X))<=>(kind(X)|creative(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)<~>~patient(X))))<=>(?[X]:(funny(X))))&
(((~rich(fred)&curious(fred)))<=>((happy(paul)&~tall(paul))))&
(((~curious(lucy)<~>brave(lucy)))<=>((~generous(john)<~>~funny(john))))&
(![X]:((... | old(john) | [] | null | 0 |
Everyone who is quiet or not curious is kind.
Everyone who is not old is not rich and vice versa.
If john is creative then paul is either not brave or not patient and vice versa.
Everyone who is both happy and not wise is not brave.
Everyone who is not generous is both curious and not curious and vice versa.
Everyone w... | Paul is not quiet. | entailment | (![X]:((quiet(X)|~curious(X))=>kind(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((creative(john))<=>((~brave(paul)<~>~patient(paul))))&
(![X]:((happy(X)&~wise(X))=>~brave(X)))&
(![X]:(~generous(X)<=>(curious(X)&~curious(X))))&
(![X]:(~strong(X)<=>(brave(X)|~tall(X))))&
(![X]:((rich(X)<~>old(X))<=>~wise(X)))&
(![X]:((calm(X)|~st... | ~quiet(paul) | [
"p0",
"p1",
"p5",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4503254222023638248630958
% SZS output start Proof for 4503254222023638248630958
1. ! [X0] : ((~curious(X0) | quiet(X0)) => kind(X0)) [input p0]
2. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p1]
6. ! [X0] : (~strong(X0) <=> (~tall(X0) | brave(X0))) [input p5]
7. ! [X0] : ((rich(X0) <~> old(... | 0 |
Everyone who is both wise and funny is both strong and wise and vice versa. Everyone who is not rich is either not curious or quiet. If someone is calm then alice is both not calm and not quiet. Everyone who is not happy is not rich and vice versa. If mary is either strong or old then someone is not happy. If someone i... | Alice is not quiet. | entailment | (![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~>old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(funny(X)))<=>((~brave(john)|quiet(john))))&
(![X]:((~brave(X)|~patient(X))<=>(~pa... | ~quiet(alice) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5787035523409928927701855
% SZS output start Proof for 5787035523409928927701855
3. ? [X0] : calm(X0) => (~quiet(alice) & ~calm(alice)) [input p2]
4. ! [X0] : (~happy(X0) <=> ~rich(X0)) [input p3]
6. ? [X0] : funny(X0) <=> (quiet(john) | ~brave(john)) [input p5]
7. ! [X0] : ((~patient(X0)... | 0 |
Everyone who is not brave is either not calm or happy.
Everyone who is strong is both rich and tall and vice versa.
If someone is either not curious or kind then someone is wise or strong.
Everyone who is rich is tall or not quiet.
Everyone who is tall or not calm is either calm or generous and vice versa.
Everyone who... | Mary is tall. | entailment | (![X]:(~brave(X)=>(~calm(X)<~>happy(X))))&
(![X]:(strong(X)<=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|strong(X)))))&
(![X]:(rich(X)=>(tall(X)|~quiet(X))))&
(![X]:((tall(X)|~calm(X))<=>(calm(X)<~>generous(X))))&
(![X]:((tall(X)&creative(X))=>strong(X)))&
(![X]:((~curious(X)&happy(X))=>(ta... | tall(mary) | [
"p1",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6826145679460586043497627
% SZS output start Proof for 6826145679460586043497627
2. ! [X0] : (strong(X0) <=> (tall(X0) & rich(X0))) [input p1]
8. ! [X0] : ((~generous(X0) | strong(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p7]
11. ! [X0] : ((~calm(X0) | ~strong(X0)) => (creative(X0) & c... | 0 |
Everyone who is not funny is not patient or not creative and vice versa.
Everyone who is not brave or not kind is strong.
If fred is not happy then someone is either creative or not old.
Everyone who is either funny or wise is both not funny and happy.
Everyone who is either old or funny is either generous or not brave... | Fred is kind. | neutral | (![X]:(~funny(X)<=>(~patient(X)|~creative(X))))&
(![X]:((~brave(X)|~kind(X))=>strong(X)))&
((~happy(fred))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((funny(X)<~>wise(X))=>(~funny(X)&happy(X))))&
(![X]:((old(X)<~>funny(X))=>(generous(X)<~>~brave(X))))&
(![X]:(calm(X)<=>(kind(X)|happy(X))))&
(![X]:((~brave(X)&creative(X... | kind(fred) | [] | null | 0 |
Everyone who is patient is tall or not strong.
Everyone who is not creative is either brave or not old and vice versa.
If someone is brave then someone is not brave and vice versa.
If someone is wise then fred is old and vice versa.
If someone is patient or not old then someone is not generous and vice versa.
If alice ... | Lucy is curious. | contradiction | (![X]:(patient(X)=>(tall(X)|~strong(X))))&
(![X]:(~creative(X)<=>(brave(X)<~>~old(X))))&
((?[X]:(brave(X)))<=>(?[X]:(~brave(X))))&
((?[X]:(wise(X)))<=>(old(fred)))&
((?[X]:((patient(X)|~old(X))))<=>(?[X]:(~generous(X))))&
(((~curious(alice)&strong(alice)))<=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~quiet(X)|~strong... | curious(lucy) | [
"p1",
"p8",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6498084539750902077680424
% SZS output start Proof for 6498084539750902077680424
2. ! [X0] : (~creative(X0) <=> (brave(X0) <~> ~old(X0))) [input p1]
9. ! [X0] : ((curious(X0) <~> creative(X0)) => ~tall(X0)) [input p8]
13. ! [X0] : (~happy(X0) <=> wise(X0)) [input p12]
14. ! [X0] : ((wise(... | 0 |
If fred is not patient then alice is not rich.
Everyone who is both not curious and not creative is not humble and vice versa.
Everyone who is both not strong and not humble is rich and vice versa.
Everyone who is brave is both not calm and not funny.
Everyone who is both quiet and not generous is not calm or not wise.... | John is happy. | neutral | ((~patient(fred))=>(~rich(alice)))&
(![X]:((~curious(X)&~creative(X))<=>~humble(X)))&
(![X]:((~strong(X)&~humble(X))<=>rich(X)))&
(![X]:(brave(X)=>(~calm(X)&~funny(X))))&
(![X]:((quiet(X)&~generous(X))=>(~calm(X)|~wise(X))))&
(![X]:((funny(X)&tall(X))=>(curious(X)|generous(X))))&
(((tall(john)<~>~strong(john)))=>((happ... | happy(john) | [] | null | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If lucy is not old or not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both... | Mary is not happy. | entailment | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
(((~old(lucy)|~tall(lucy)))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kin... | ~happy(mary) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3897563247446841866424987
% SZS output start Proof for 3897563247446841866424987
6. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p5]
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p11]
23. happy(mary) [input hypothesis]
31. ! [X0] : (~kind(X0) | (br... | 0 |
If someone is either curious or kind then mary is either not generous or not rich and vice versa.
If someone is either not brave or not curious then john is not humble and vice versa.
Everyone who is rich is both generous and creative.
If someone is either creative or funny then paul is not patient.
If paul is either n... | Paul is rich. | contradiction | ((?[X]:((curious(X)<~>kind(X))))<=>((~generous(mary)<~>~rich(mary))))&
((?[X]:((~brave(X)<~>~curious(X))))<=>(~humble(john)))&
(![X]:(rich(X)=>(generous(X)&creative(X))))&
((?[X]:((creative(X)<~>funny(X))))=>(~patient(paul)))&
(((~wise(paul)<~>patient(paul)))=>(?[X]:(generous(X))))&
((~calm(susan))<=>(?[X]:((humble(X)<... | rich(paul) | [
"p0",
"p2",
"p6",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4591235068893544282205281
% SZS output start Proof for 4591235068893544282205281
1. ? [X0] : (curious(X0) <~> kind(X0)) <=> (~generous(mary) <~> ~rich(mary)) [input p0]
3. ! [X0] : (rich(X0) => (creative(X0) & generous(X0))) [input p2]
7. ! [X0] : ((curious(X0) | ~kind(X0)) <=> (creative(... | 0 |
Everyone who is not patient or not rich is both happy and funny and vice versa.
Everyone who is either not brave or not calm is either not kind or not curious and vice versa.
Everyone who is either not wise or wise is both not calm and not funny.
If fred is both happy and not brave then someone is brave or not patient ... | Fred is generous. | entailment | (![X]:((~patient(X)|~rich(X))<=>(happy(X)&funny(X))))&
(![X]:((~brave(X)<~>~calm(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~calm(X)&~funny(X))))&
(((happy(fred)&~brave(fred)))<=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:(strong(X)=>(~creative(X)&funny(X))))&
(![X]:((~funny(X)&~creative(X))=>(happy(X... | generous(fred) | [
"p0",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4977794526685309365527629
% SZS output start Proof for 4977794526685309365527629
1. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (funny(X0) & happy(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~funny(X0) & ~calm(X0))) [input p2]
5. ! [X0] : (strong(X0) => (funny(X0) & ~creative(... | 0 |
Everyone who is not generous or strong is happy or not old. If someone is rich then john is not creative. If mary is not brave or not curious then someone is not patient or not happy and vice versa. If someone is both patient and not wise then john is both creative and old. Everyone who is not generous or calm is not h... | Mary is not brave. | neutral | (![X]:((~generous(X)|strong(X))=>(happy(X)|~old(X))))&
((?[X]:(rich(X)))=>(~creative(john)))&
(((~brave(mary)|~curious(mary)))<=>(?[X]:((~patient(X)|~happy(X)))))&
((?[X]:((patient(X)&~wise(X))))=>((creative(john)&old(john))))&
(![X]:((~generous(X)|calm(X))=>~happy(X)))&
((?[X]:(humble(X)))<=>((~quiet(mary)|~generous(m... | ~brave(mary) | [] | null | 0 |
If someone is either not humble or brave then mary is rich.
Everyone who is quiet or brave is not curious or not creative.
Everyone who is both not brave and wise is generous or quiet.
Everyone who is either curious or not quiet is strong or curious.
Everyone who is not brave or patient is either not rich or not strong... | Lucy is strong. | entailment | ((?[X]:((~humble(X)<~>brave(X))))=>(rich(mary)))&
(![X]:((quiet(X)|brave(X))=>(~curious(X)|~creative(X))))&
(![X]:((~brave(X)&wise(X))=>(generous(X)|quiet(X))))&
(![X]:((curious(X)<~>~quiet(X))=>(strong(X)|curious(X))))&
(![X]:((~brave(X)|patient(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(creative(X)<=>curious(X)))&
(![X]... | strong(lucy) | [
"p3",
"p9",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4636107651587345437776440
% SZS output start Proof for 4636107651587345437776440
4. ! [X0] : ((curious(X0) <~> ~quiet(X0)) => (curious(X0) | strong(X0))) [input p3]
10. ! [X0] : ((~strong(X0) | quiet(X0)) => (curious(X0) <~> tall(X0))) [input p9]
12. ! [X0] : (quiet(X0) <=> (~tall(X0) & ~... | 0 |
Everyone who is both brave and patient is calm and vice versa. Everyone who is not calm is either not wise or generous. If susan is patient then someone is both kind and creative and vice versa. Everyone who is both not strong and tall is either generous or wise. Everyone who is both humble and curious is both not kind... | John is not strong. | neutral | (![X]:((brave(X)&patient(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~wise(X)<~>generous(X))))&
((patient(susan))<=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((~strong(X)&tall(X))=>(generous(X)<~>wise(X))))&
(![X]:((humble(X)&curious(X))=>(~kind(X)&funny(X))))&
(![X]:((creative(X)<~>patient(X))<=>(patient(X)&~funny(X))))&
(((~stro... | ~strong(john) | [] | null | 0 |
If someone is either not funny or wise then lucy is either not wise or tall and vice versa. If someone is happy then someone is not strong. Everyone who is rich or not tall is both curious and not creative and vice versa. Everyone who is not humble or not strong is strong and vice versa. If someone is happy or kind the... | Alice is rich. | contradiction | ((?[X]:((~funny(X)<~>wise(X))))<=>((~wise(lucy)<~>tall(lucy))))&
((?[X]:(happy(X)))=>(?[X]:(~strong(X))))&
(![X]:((rich(X)|~tall(X))<=>(curious(X)&~creative(X))))&
(![X]:((~humble(X)|~strong(X))<=>strong(X)))&
((?[X]:((happy(X)|kind(X))))<=>(?[X]:((~curious(X)<~>funny(X)))))&
(![X]:(generous(X)<=>(happy(X)<~>~tall(X)))... | rich(alice) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 743069554902434171528250
% SZS output start Proof for 743069554902434171528250
3. ! [X0] : ((~tall(X0) | rich(X0)) <=> (~creative(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> ~wise(X0)) [input p8]
22. rich(alice) [input hypothesis]
37. ! [X0] : (((~tall(X0) ... | 0 |
Everyone who is either not curious or not brave is both generous and old. If john is strong then paul is either brave or humble and vice versa. If someone is not brave then someone is both kind and old. If someone is both not rich and humble then paul is both not humble and not happy. Everyone who is both not calm and ... | Fred is not funny. | neutral | (![X]:((~curious(X)<~>~brave(X))=>(generous(X)&old(X))))&
((strong(john))<=>((brave(paul)<~>humble(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((kind(X)&old(X)))))&
((?[X]:((~rich(X)&humble(X))))=>((~humble(paul)&~happy(paul))))&
(![X]:((~calm(X)&~quiet(X))=>wise(X)))&
(![X]:((~brave(X)<~>~kind(X))=>(calm(X)&strong(X))))&
(((... | ~funny(fred) | [] | null | 0 |
If mary is happy then john is not kind.
If someone is not generous then susan is strong.
Everyone who is either creative or not old is not generous or not kind.
Everyone who is not strong or not creative is not strong or wise and vice versa.
If someone is both not rich and strong then someone is kind and vice versa.
Ev... | Lucy is old. | contradiction | ((happy(mary))=>(~kind(john)))&
((?[X]:(~generous(X)))=>(strong(susan)))&
(![X]:((creative(X)<~>~old(X))=>(~generous(X)|~kind(X))))&
(![X]:((~strong(X)|~creative(X))<=>(~strong(X)|wise(X))))&
((?[X]:((~rich(X)&strong(X))))<=>(?[X]:(kind(X))))&
(![X]:((~kind(X)&calm(X))<=>~creative(X)))&
(![X]:((~kind(X)&brave(X))<=>(ta... | old(lucy) | [
"p6",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5975759348039808177527646
% SZS output start Proof for 5975759348039808177527646
7. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (~creative(X0) | tall(X0))) [input p6]
12. ? [X0] : (funny(X0) | wise(X0)) => ? [X0] : (calm(X0) & ~creative(X0)) [input p11]
13. ! [X0] : ((humble(X0) | ~creative(X0)... | 0 |
If lucy is not humble or not kind then someone is not generous and vice versa. Everyone who is not generous or calm is either curious or not funny. Everyone who is either strong or not calm is both not tall and not creative. Everyone who is not humble or brave is either not rich or happy and vice versa. Everyone who is... | Mary is wise. | neutral | (((~humble(lucy)|~kind(lucy)))<=>(?[X]:(~generous(X))))&
(![X]:((~generous(X)|calm(X))=>(curious(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~calm(X))=>(~tall(X)&~creative(X))))&
(![X]:((~humble(X)|brave(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((~rich(X)|~strong(X))=>(~generous(X)&~humble(X))))&
(![X]:(~funny(X)=>(wise(X)<~>~c... | wise(mary) | [] | null | 0 |
If fred is either patient or not rich then fred is both patient and not strong and vice versa. Everyone who is kind is calm. Everyone who is humble is both tall and happy. Everyone who is both not brave and tall is not kind and vice versa. Everyone who is creative is not curious and vice versa. If paul is both not stro... | Fred is patient. | neutral | (((patient(fred)<~>~rich(fred)))<=>((patient(fred)&~strong(fred))))&
(![X]:(kind(X)=>calm(X)))&
(![X]:(humble(X)=>(tall(X)&happy(X))))&
(![X]:((~brave(X)&tall(X))<=>~kind(X)))&
(![X]:(creative(X)<=>~curious(X)))&
(((~strong(paul)&quiet(paul)))=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((tall(X)|happy(X))=>(~generous(X)<~>~c... | patient(fred) | [] | null | 0 |
Everyone who is curious is both not funny and not generous and vice versa.
Everyone who is patient or not calm is not patient or rich.
If someone is both old and creative then alice is creative and vice versa.
Everyone who is not funny or not kind is generous.
If lucy is humble or brave then susan is tall or rich.
Ever... | Alice is creative. | neutral | (![X]:(curious(X)<=>(~funny(X)&~generous(X))))&
(![X]:((patient(X)|~calm(X))=>(~patient(X)|rich(X))))&
((?[X]:((old(X)&creative(X))))<=>(creative(alice)))&
(![X]:((~funny(X)|~kind(X))=>generous(X)))&
(((humble(lucy)|brave(lucy)))=>((tall(susan)|rich(susan))))&
(![X]:((~generous(X)<~>wise(X))<=>~brave(X)))&
(((strong(pa... | creative(alice) | [] | null | 0 |
Everyone who is either not patient or not old is both generous and calm.
If someone is either funny or quiet then someone is not patient.
If someone is either generous or curious then fred is happy or not patient and vice versa.
If someone is rich then someone is creative or not tall.
Everyone who is both not quiet and... | Mary is old. | contradiction | (![X]:((~patient(X)<~>~old(X))=>(generous(X)&calm(X))))&
((?[X]:((funny(X)<~>quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((generous(X)<~>curious(X))))<=>((happy(fred)|~patient(fred))))&
((?[X]:(rich(X)))=>(?[X]:((creative(X)|~tall(X)))))&
(![X]:((~quiet(X)&~old(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((patient(X)&curi... | old(mary) | [
"p6",
"p7",
"p8",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 83222809144040837117876
% SZS output start Proof for 83222809144040837117876
7. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~rich(X0))) [input p6]
8. (patient(mary) | ~creative(mary)) => (~brave(john) & humble(john)) [input p7]
9. ! [X0] : ((rich(X0) | ~happy(X0)) <=> (~quiet(X0) | wise(X0))) [... | 0 |
If alice is patient then fred is not brave.
Everyone who is either rich or brave is either quiet or not calm and vice versa.
If someone is both generous and patient then fred is either patient or strong and vice versa.
If susan is strong or tall then alice is both not wise and not tall.
Everyone who is not creative is ... | Paul is strong. | entailment | ((patient(alice))=>(~brave(fred)))&
(![X]:((rich(X)<~>brave(X))<=>(quiet(X)<~>~calm(X))))&
((?[X]:((generous(X)&patient(X))))<=>((patient(fred)<~>strong(fred))))&
(((strong(susan)|tall(susan)))=>((~wise(alice)&~tall(alice))))&
(![X]:(~creative(X)<=>rich(X)))&
(((calm(paul)<~>rich(paul)))<=>(?[X]:((~kind(X)<~>~curious(X... | strong(paul) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8810850200448959940885764
% SZS output start Proof for 8810850200448959940885764
5. ! [X0] : (~creative(X0) <=> rich(X0)) [input p4]
8. ! [X0] : (rich(X0) <=> (creative(X0) | strong(X0))) [input p7]
24. ~strong(paul) [input hypothesis]
41. ! [X0] : ((~creative(X0) | ~rich(X0)) & (rich(X0)... | 0 |
Everyone who is kind or curious is not tall.
Everyone who is not curious is both generous and not kind and vice versa.
Everyone who is not brave is both quiet and humble.
Everyone who is both not quiet and quiet is not humble or kind and vice versa.
If someone is not quiet or funny then someone is not creative or old a... | Susan is quiet. | entailment | (![X]:((kind(X)|curious(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[X]:((~quiet(X)|funny(X))))<=>(?[X]:((~creative(X)|old(X)))))&
(((humble(susan)&calm(susan)))=>(?[X]:((~curious(X)|~strong(X)))))&
(!... | quiet(susan) | [
"p2",
"p3",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 11640252575157880504093
% SZS output start Proof for 11640252575157880504093
3. ! [X0] : (~brave(X0) => (humble(X0) & quiet(X0))) [input p2]
4. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (kind(X0) | ~humble(X0))) [input p3]
15. ! [X0] : ((brave(X0) & ~calm(X0)) <=> kind(X0)) [input p14]
20. h... | 0 |
If someone is not wise then fred is both curious and brave and vice versa.
Everyone who is not tall or quiet is either kind or happy and vice versa.
Everyone who is not patient or not strong is not curious and vice versa.
Everyone who is generous or calm is either not old or not strong.
Everyone who is both not humble ... | Fred is rich. | contradiction | ((?[X]:(~wise(X)))<=>((curious(fred)&brave(fred))))&
(![X]:((~tall(X)|quiet(X))<=>(kind(X)<~>happy(X))))&
(![X]:((~patient(X)|~strong(X))<=>~curious(X)))&
(![X]:((generous(X)|calm(X))=>(~old(X)<~>~strong(X))))&
(![X]:((~humble(X)&generous(X))<=>strong(X)))&
(((~rich(fred)<~>~funny(fred)))<=>((kind(paul)<~>creative(paul... | rich(fred) | [
"p3",
"p4",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3422862516879105934942485
% SZS output start Proof for 3422862516879105934942485
4. ! [X0] : ((calm(X0) | generous(X0)) => (~old(X0) <~> ~strong(X0))) [input p3]
5. ! [X0] : ((generous(X0) & ~humble(X0)) <=> strong(X0)) [input p4]
9. ! [X0] : ((tall(X0) | ~old(X0)) => (~patient(X0) | ~wis... | 0 |
Everyone who is either not kind or not curious is generous and vice versa.
Everyone who is not kind is not quiet or not humble and vice versa.
Everyone who is both generous and happy is both kind and not kind and vice versa.
Everyone who is happy or tall is both wise and curious and vice versa.
Everyone who is not crea... | John is not kind. | entailment | (![X]:((~kind(X)<~>~curious(X))<=>generous(X)))&
(![X]:(~kind(X)<=>(~quiet(X)|~humble(X))))&
(![X]:((generous(X)&happy(X))<=>(kind(X)&~kind(X))))&
(![X]:((happy(X)|tall(X))<=>(wise(X)&curious(X))))&
(![X]:((~creative(X)|wise(X))<=>(humble(X)<~>wise(X))))&
(((calm(mary)<~>curious(mary)))=>(?[X]:(strong(X))))&
(((~patien... | ~kind(john) | [
"p1",
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4558053124490970477213371
% SZS output start Proof for 4558053124490970477213371
2. ! [X0] : (~kind(X0) <=> (~humble(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((tall(X0) | happy(X0)) <=> (curious(X0) & wise(X0))) [input p3]
5. ! [X0] : ((wise(X0) | ~creative(X0)) <=> (humble(X0) <~> wise(... | 0 |
If someone is either not kind or not calm then paul is both humble and tall and vice versa. Everyone who is both tall and calm is both not calm and funny. If someone is not generous then someone is either curious or not tall and vice versa. Everyone who is old or wise is both not tall and rich and vice versa. If fred i... | Paul is not happy. | neutral | ((?[X]:((~kind(X)<~>~calm(X))))<=>((humble(paul)&tall(paul))))&
(![X]:((tall(X)&calm(X))=>(~calm(X)&funny(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:((old(X)|wise(X))<=>(~tall(X)&rich(X))))&
(((~creative(fred)<~>~old(fred)))<=>(?[X]:((tall(X)|brave(X)))))&
((?[X]:(strong(X)))<=>(~generous(... | ~happy(paul) | [] | null | 0 |
Everyone who is either brave or humble is both funny and humble.
If susan is either quiet or not old then alice is either curious or wise.
If someone is both generous and strong then someone is either not calm or not rich.
If paul is rich or funny then someone is strong or not strong and vice versa.
If someone is eithe... | Susan is wise. | contradiction | (![X]:((brave(X)<~>humble(X))=>(funny(X)&humble(X))))&
(((quiet(susan)<~>~old(susan)))=>((curious(alice)<~>wise(alice))))&
((?[X]:((generous(X)&strong(X))))=>(?[X]:((~calm(X)<~>~rich(X)))))&
(((rich(paul)|funny(paul)))<=>(?[X]:((strong(X)|~strong(X)))))&
((?[X]:((humble(X)<~>~patient(X))))=>((creative(fred)&~funny(fred... | wise(susan) | [
"p5",
"p6",
"p9",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1876840740256562786784558
% SZS output start Proof for 1876840740256562786784558
6. ! [X0] : ((strong(X0) | patient(X0)) <=> ~rich(X0)) [input p5]
7. ! [X0] : ((~rich(X0) & wise(X0)) <=> (~calm(X0) & ~kind(X0))) [input p6]
10. ! [X0] : ((wise(X0) & ~patient(X0)) <=> strong(X0)) [input p9]... | 0 |
If lucy is not curious then john is quiet and vice versa. Everyone who is funny is both not happy and curious and vice versa. Everyone who is not rich is both rich and not tall and vice versa. Everyone who is creative or not old is not patient or not tall. If someone is both not brave and brave then someone is either n... | John is not old. | contradiction | ((~curious(lucy))<=>(quiet(john)))&
(![X]:(funny(X)<=>(~happy(X)&curious(X))))&
(![X]:(~rich(X)<=>(rich(X)&~tall(X))))&
(![X]:((creative(X)|~old(X))=>(~patient(X)|~tall(X))))&
((?[X]:((~brave(X)&brave(X))))<=>(?[X]:((~humble(X)<~>curious(X)))))&
((?[X]:((~strong(X)|~patient(X))))=>(?[X]:(~quiet(X))))&
(((strong(mary)<~... | ~old(john) | [
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1578236797069352415471217
% SZS output start Proof for 1578236797069352415471217
3. ! [X0] : (~rich(X0) <=> (~tall(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~old(X0) | creative(X0)) => (~tall(X0) | ~patient(X0))) [input p3]
9. (~patient(john) | ~calm(john)) <=> ? [X0] : ~tall(X0) [input p... | 0 |
If someone is both not rich and not tall then alice is not creative or funny and vice versa.
Everyone who is not rich or brave is both not brave and patient.
Everyone who is both patient and strong is tall and vice versa.
Everyone who is humble or not calm is both kind and not curious.
If someone is strong or not happy... | Susan is not kind. | contradiction | ((?[X]:((~rich(X)&~tall(X))))<=>((~creative(alice)|funny(alice))))&
(![X]:((~rich(X)|brave(X))=>(~brave(X)&patient(X))))&
(![X]:((patient(X)&strong(X))<=>tall(X)))&
(![X]:((humble(X)|~calm(X))=>(kind(X)&~curious(X))))&
((?[X]:((strong(X)|~happy(X))))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
((?[X]:(~patient(X)))<=>(?[... | ~kind(susan) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6472587290670691317645378
% SZS output start Proof for 6472587290670691317645378
4. ! [X0] : ((~calm(X0) | humble(X0)) => (~curious(X0) & kind(X0))) [input p3]
22. quiet(susan) & ~calm(susan) [input p21]
24. ~kind(susan) [input hypothesis]
29. ! [X0] : ((~curious(X0) & kind(X0)) | (calm(X... | 0 |
If someone is happy then alice is either wise or not generous and vice versa.
If fred is calm then someone is not kind.
Everyone who is generous is both not brave and not rich and vice versa.
If john is not rich then lucy is both not generous and creative and vice versa.
Everyone who is calm or not quiet is not old or ... | Lucy is happy. | entailment | ((?[X]:(happy(X)))<=>((wise(alice)<~>~generous(alice))))&
((calm(fred))=>(?[X]:(~kind(X))))&
(![X]:(generous(X)<=>(~brave(X)&~rich(X))))&
((~rich(john))<=>((~generous(lucy)&creative(lucy))))&
(![X]:((calm(X)|~quiet(X))<=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~old(X)<~>~generous(X))))&
(((tall(alice)<~>~f... | happy(lucy) | [
"p2",
"p5",
"p9",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8148968973482234842107845
% SZS output start Proof for 8148968973482234842107845
3. ! [X0] : (generous(X0) <=> (~rich(X0) & ~brave(X0))) [input p2]
6. ! [X0] : ((~happy(X0) <~> rich(X0)) <=> (~old(X0) <~> ~generous(X0))) [input p5]
10. ! [X0] : (~kind(X0) <=> (creative(X0) & patient(X0)))... | 0 |
If someone is not old or patient then susan is wise and vice versa.
Everyone who is either strong or funny is wise and vice versa.
If alice is not wise or humble then someone is not strong or tall and vice versa.
If alice is both quiet and not tall then someone is not kind or not brave.
Everyone who is both wise and no... | Alice is not rich. | neutral | ((?[X]:((~old(X)|patient(X))))<=>(wise(susan)))&
(![X]:((strong(X)<~>funny(X))<=>wise(X)))&
(((~wise(alice)|humble(alice)))<=>(?[X]:((~strong(X)|tall(X)))))&
(((quiet(alice)&~tall(alice)))=>(?[X]:((~kind(X)|~brave(X)))))&
(![X]:((wise(X)&~humble(X))=>(~kind(X)&~humble(X))))&
(![X]:((~happy(X)&~patient(X))=>(happy(X)|~c... | ~rich(alice) | [] | null | 0 |
Everyone who is rich or patient is both not tall and strong.
If someone is not wise or calm then fred is not humble.
If someone is not generous or not tall then mary is creative and vice versa.
Everyone who is not wise is either kind or funny and vice versa.
If someone is wise then someone is generous or not wise and v... | Alice is kind. | entailment | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~humble(fred)))&
((?[X]:((~generous(X)|~tall(X))))<=>(creative(mary)))&
(![X]:(~wise(X)<=>(kind(X)<~>funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((kind(X)&happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>(~funn... | kind(alice) | [
"p3",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2669936101281824847341442
% SZS output start Proof for 2669936101281824847341442
4. ! [X0] : (~wise(X0) <=> (kind(X0) <~> funny(X0))) [input p3]
6. ! [X0] : ((happy(X0) & kind(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> (~funny(X0) <~> wise(X0))) [input p6]
11. ! [X0] : ... | 0 |
Everyone who is both not calm and not kind is humble or rich and vice versa.
If fred is both not wise and rich then alice is both not generous and not creative and vice versa.
Everyone who is either not tall or not rich is both not generous and not patient and vice versa.
If fred is either not funny or humble then some... | Susan is not funny. | neutral | (![X]:((~calm(X)&~kind(X))<=>(humble(X)|rich(X))))&
(((~wise(fred)&rich(fred)))<=>((~generous(alice)&~creative(alice))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(![X]:((quiet(X)&~humb... | ~funny(susan) | [] | null | 0 |
Everyone who is both creative and rich is creative or strong and vice versa.
If someone is either rich or happy then someone is both not funny and not curious and vice versa.
If someone is either not humble or not generous then someone is either brave or strong.
Everyone who is not rich or brave is both not tall and st... | Lucy is not happy. | contradiction | (![X]:((creative(X)&rich(X))<=>(creative(X)|strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((~funny(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(?[X]:((brave(X)<~>strong(X)))))&
(![X]:((~rich(X)|brave(X))=>(~tall(X)&strong(X))))&
(((brave(mary)&~creative(mary)))<=>(?[X]:((funny(X)|~quiet(X)))))&
(!... | ~happy(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5266570437324052901533700
% SZS output start Proof for 5266570437324052901533700
1. ! [X0] : ((rich(X0) & creative(X0)) <=> (strong(X0) | creative(X0))) [input p0]
2. ? [X0] : (rich(X0) <~> happy(X0)) <=> ? [X0] : (~curious(X0) & ~funny(X0)) [input p1]
3. ? [X0] : (~humble(X0) <~> ~genero... | 0 |
Everyone who is either old or not brave is quiet and vice versa. If john is both curious and not tall then someone is both not rich and not wise. Everyone who is wise is not old. Everyone who is either kind or not quiet is either calm or funny and vice versa. Everyone who is not strong is both quiet and calm and vice v... | Alice is not strong. | contradiction | (![X]:((old(X)<~>~brave(X))<=>quiet(X)))&
(((curious(john)&~tall(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(calm(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(quiet(X)&calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~strong(X)<~>~happy(X))))&
(((~funny(lucy)<~>patient(lucy)... | ~strong(alice) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5857744606236541954603409
% SZS output start Proof for 5857744606236541954603409
5. ! [X0] : (~strong(X0) <=> (calm(X0) & quiet(X0))) [input p4]
17. ~calm(alice) [input p16]
23. ~strong(alice) [input hypothesis]
37. ! [X0] : ((~strong(X0) | (~calm(X0) | ~quiet(X0))) & ((calm(X0) & quiet(X... | 0 |
Everyone who is curious or not calm is happy. If paul is both not old and happy then someone is either kind or not kind and vice versa. If someone is both patient and humble then fred is either curious or not kind. Everyone who is both tall and not creative is curious. If someone is both funny and not curious then some... | Fred is patient. | neutral | (![X]:((curious(X)|~calm(X))=>happy(X)))&
(((~old(paul)&happy(paul)))<=>(?[X]:((kind(X)<~>~kind(X)))))&
((?[X]:((patient(X)&humble(X))))=>((curious(fred)<~>~kind(fred))))&
(![X]:((tall(X)&~creative(X))=>curious(X)))&
((?[X]:((funny(X)&~curious(X))))=>(?[X]:(humble(X))))&
(((~wise(john)&curious(john)))<=>(?[X]:((rich(X)... | patient(fred) | [] | null | 0 |
Everyone who is humble or not humble is not strong and vice versa. Everyone who is either not calm or not kind is not humble. Everyone who is curious is not quiet or strong. If someone is both not calm and generous then mary is humble or happy. If someone is both not wise and happy then john is not creative and vice ve... | Susan is not strong. | entailment | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~humble(X)))&
(![X]:(curious(X)=>(~quiet(X)|strong(X))))&
((?[X]:((~calm(X)&generous(X))))=>((humble(mary)|happy(mary))))&
((?[X]:((~wise(X)&happy(X))))<=>(~creative(john)))&
(![X]:((quiet(X)&~brave(X))=>(rich(X)&~wise(X))))&
((?[X]:((~humble(X... | ~strong(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1947284952688255256604044
% SZS output start Proof for 1947284952688255256604044
1. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~strong(X0)) [input p0]
25. strong(susan) [input hypothesis]
31. ! [X0] : ((~humble(X0) | humble(X0)) => ~strong(X0)) [unused predicate definition removal 1]
34. ! ... | 0 |
If susan is either quiet or not patient then paul is not tall or not wise and vice versa.
Everyone who is either quiet or not humble is rich.
If john is not humble then someone is both not humble and happy and vice versa.
Everyone who is happy is both generous and not curious and vice versa.
Everyone who is either not ... | Lucy is rich. | entailment | (((quiet(susan)<~>~patient(susan)))<=>((~tall(paul)|~wise(paul))))&
(![X]:((quiet(X)<~>~humble(X))=>rich(X)))&
((~humble(john))<=>(?[X]:((~humble(X)&happy(X)))))&
(![X]:(happy(X)<=>(generous(X)&~curious(X))))&
(![X]:((~rich(X)<~>humble(X))=>~tall(X)))&
((?[X]:((~kind(X)<~>calm(X))))<=>(?[X]:((rich(X)&strong(X)))))&
(![... | rich(lucy) | [
"p1",
"p6",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5734464488053088268124121
% SZS output start Proof for 5734464488053088268124121
2. ! [X0] : ((quiet(X0) <~> ~humble(X0)) => rich(X0)) [input p1]
7. ! [X0] : (~quiet(X0) <=> (funny(X0) | ~old(X0))) [input p6]
10. ! [X0] : ((~brave(X0) <~> ~humble(X0)) => (funny(X0) & ~curious(X0))) [input... | 0 |
If fred is not humble then susan is both funny and not happy and vice versa. Everyone who is both not curious and rich is either calm or not brave. Everyone who is either funny or curious is both creative and not old and vice versa. Everyone who is both old and kind is both generous and not curious. If someone is not c... | Fred is funny. | entailment | ((~humble(fred))<=>((funny(susan)&~happy(susan))))&
(![X]:((~curious(X)&rich(X))=>(calm(X)<~>~brave(X))))&
(![X]:((funny(X)<~>curious(X))<=>(creative(X)&~old(X))))&
(![X]:((old(X)&kind(X))=>(generous(X)&~curious(X))))&
((?[X]:(~calm(X)))=>((calm(fred)|~humble(fred))))&
(![X]:((~calm(X)&wise(X))=>(brave(X)|~wise(X))))&
... | funny(fred) | [
"p0",
"p2",
"p8",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6565927815483852660202135
% SZS output start Proof for 6565927815483852660202135
1. ~humble(fred) <=> (~happy(susan) & funny(susan)) [input p0]
3. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (~old(X0) & creative(X0))) [input p2]
9. ? [X0] : (~curious(X0) <~> ~happy(X0)) => (funny(alice) & p... | 0 |
Everyone who is both not humble and not old is both not brave and not strong.
If mary is both not calm and not brave then someone is both not rich and not quiet and vice versa.
If john is either not strong or curious then someone is both rich and not rich.
If paul is both not quiet and not rich then john is not strong ... | Mary is kind. | contradiction | (![X]:((~humble(X)&~old(X))=>(~brave(X)&~strong(X))))&
(((~calm(mary)&~brave(mary)))<=>(?[X]:((~rich(X)&~quiet(X)))))&
(((~strong(john)<~>curious(john)))=>(?[X]:((rich(X)&~rich(X)))))&
(((~quiet(paul)&~rich(paul)))<=>((~strong(john)|~quiet(john))))&
(![X]:((brave(X)<~>tall(X))<=>(~calm(X)&~strong(X))))&
(![X]:(kind(X)=... | kind(mary) | [
"p1",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3429603943120478160739244
% SZS output start Proof for 3429603943120478160739244
2. (~brave(mary) & ~calm(mary)) <=> ? [X0] : (~quiet(X0) & ~rich(X0)) [input p1]
4. (~rich(paul) & ~quiet(paul)) <=> (~quiet(john) | ~strong(john)) [input p3]
5. ! [X0] : ((brave(X0) <~> tall(X0)) <=> (~stron... | 0 |
Everyone who is either not happy or strong is both happy and calm.
Everyone who is either not brave or not strong is quiet.
Everyone who is both calm and not humble is not happy and vice versa.
If paul is wise then someone is either generous or patient.
Everyone who is not creative or not funny is not brave or rich.
Ev... | Paul is wise. | neutral | (![X]:((~happy(X)<~>strong(X))=>(happy(X)&calm(X))))&
(![X]:((~brave(X)<~>~strong(X))=>quiet(X)))&
(![X]:((calm(X)&~humble(X))<=>~happy(X)))&
((wise(paul))=>(?[X]:((generous(X)<~>patient(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~brave(X)|rich(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:(~tall(X)<=>(creative(X)|funny(X))... | wise(paul) | [] | null | 0 |
Everyone who is both not funny and not brave is both not tall and not quiet and vice versa.
Everyone who is patient is either not tall or not rich and vice versa.
If lucy is both curious and not humble then fred is either wise or not old and vice versa.
Everyone who is both not kind and not patient is happy.
If someone... | Mary is not funny. | neutral | (![X]:((~funny(X)&~brave(X))<=>(~tall(X)&~quiet(X))))&
(![X]:(patient(X)<=>(~tall(X)<~>~rich(X))))&
(((curious(lucy)&~humble(lucy)))<=>((wise(fred)<~>~old(fred))))&
(![X]:((~kind(X)&~patient(X))=>happy(X)))&
((?[X]:((~creative(X)<~>~calm(X))))=>(?[X]:((~quiet(X)|~happy(X)))))&
(((rich(mary)|humble(mary)))<=>(?[X]:((qui... | ~funny(mary) | [] | null | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is either not old or funny then someone is either rich or not curious and vice versa.
Everyone who is not curious or patient is either happy or funny and vice versa.
Everyone who is no... | Susan is not humble. | contradiction | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)<~>funny(X))))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~curious(X)|patient(X))<=>(happy(X)<~>funny(X))))&
(![X]:(~generous(X)<=>(curious(X)&~old(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:... | ~humble(susan) | [
"p0",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3016461902075915625691796
% SZS output start Proof for 3016461902075915625691796
1. ! [X0] : (~calm(X0) <=> humble(X0)) [input p0]
5. ! [X0] : (~generous(X0) <=> (~old(X0) & curious(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (calm(X0) <~> generous(X0))) [input p6]
12. ! ... | 0 |
If someone is tall then john is both not rich and not wise.
If someone is not strong then lucy is not old or generous.
Everyone who is either happy or not strong is both not kind and not happy.
If someone is either kind or not curious then alice is either not curious or not happy.
If someone is both not brave and not c... | Lucy is brave. | entailment | ((?[X]:(tall(X)))=>((~rich(john)&~wise(john))))&
((?[X]:(~strong(X)))=>((~old(lucy)|generous(lucy))))&
(![X]:((happy(X)<~>~strong(X))=>(~kind(X)&~happy(X))))&
((?[X]:((kind(X)<~>~curious(X))))=>((~curious(alice)<~>~happy(alice))))&
((?[X]:((~brave(X)&~creative(X))))<=>((~old(lucy)<~>~brave(lucy))))&
(((brave(john)<~>~r... | brave(lucy) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8820081892694792403312583
% SZS output start Proof for 8820081892694792403312583
3. ! [X0] : ((happy(X0) <~> ~strong(X0)) => (~happy(X0) & ~kind(X0))) [input p2]
4. ? [X0] : (kind(X0) <~> ~curious(X0)) => (~curious(alice) <~> ~happy(alice)) [input p3]
7. (~old(alice) | ~creative(alice)) <... | 0 |
Everyone who is not patient is both happy and quiet and vice versa.
Everyone who is funny or not quiet is either creative or not generous and vice versa.
Everyone who is creative is both kind and patient.
If paul is either not calm or wise then someone is creative or wise and vice versa.
If alice is happy or not patien... | Paul is not calm. | contradiction | (![X]:(~patient(X)<=>(happy(X)&quiet(X))))&
(![X]:((funny(X)|~quiet(X))<=>(creative(X)<~>~generous(X))))&
(![X]:(creative(X)=>(kind(X)&patient(X))))&
(((~calm(paul)<~>wise(paul)))<=>(?[X]:((creative(X)|wise(X)))))&
(((happy(alice)|~patient(alice)))=>(?[X]:(humble(X))))&
(((~creative(susan)|wise(susan)))=>(?[X]:((brave(... | ~calm(paul) | [
"p3",
"p7",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 917530216588325822977076
% SZS output start Proof for 917530216588325822977076
4. (~calm(paul) <~> wise(paul)) <=> ? [X0] : (wise(X0) | creative(X0)) [input p3]
8. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p7]
9. ! [X0] : ((kind(X0) & ~brave(X0)) <=> ~strong(X0)) [input ... | 0 |
If susan is both patient and humble then someone is not strong and vice versa.
Everyone who is either patient or not curious is both not generous and not kind.
If susan is not tall or not creative then fred is either not humble or humble and vice versa.
Everyone who is both not curious and tall is not strong or kind an... | Mary is not kind. | contradiction | (((patient(susan)&humble(susan)))<=>(?[X]:(~strong(X))))&
(![X]:((patient(X)<~>~curious(X))=>(~generous(X)&~kind(X))))&
(((~tall(susan)|~creative(susan)))<=>((~humble(fred)<~>humble(fred))))&
(![X]:((~curious(X)&tall(X))<=>(~strong(X)|kind(X))))&
(![X]:((~funny(X)|generous(X))=>(kind(X)&~curious(X))))&
((?[X]:((~patien... | ~kind(mary) | [
"p3",
"p4",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 712205852710305639624288
% SZS output start Proof for 712205852710305639624288
4. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (kind(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((generous(X0) | ~funny(X0)) => (~curious(X0) & kind(X0))) [input p4]
15. ! [X0] : ((brave(X0) <~> ~curious(X0)) <=> (... | 0 |
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