premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not rich or tall is both not curious and not strong. Everyone who is not kind is not brave or calm and vice versa. Everyone who is either not brave or not humble is not generous. If susan is either not wise or creative then alice is humble and vice versa. Everyone who is not kind or not wise is not humb... | Alice is not old. | neutral | (![X]:((~rich(X)|tall(X))=>(~curious(X)&~strong(X))))&
(![X]:(~kind(X)<=>(~brave(X)|calm(X))))&
(![X]:((~brave(X)<~>~humble(X))=>~generous(X)))&
(((~wise(susan)<~>creative(susan)))<=>(humble(alice)))&
(![X]:((~kind(X)|~wise(X))=>~humble(X)))&
(![X]:((~wise(X)<~>kind(X))<=>(~generous(X)<~>curious(X))))&
(![X]:((humble(X... | ~old(alice) | [] | null | 0 |
If someone is both not happy and not humble then paul is quiet or tall.
If mary is not rich or not wise then someone is not wise.
Everyone who is either not humble or generous is not rich or not calm.
If lucy is either patient or not funny then someone is rich and vice versa.
If someone is either kind or not humble the... | Mary is not kind. | entailment | ((?[X]:((~happy(X)&~humble(X))))=>((quiet(paul)|tall(paul))))&
(((~rich(mary)|~wise(mary)))=>(?[X]:(~wise(X))))&
(![X]:((~humble(X)<~>generous(X))=>(~rich(X)|~calm(X))))&
(((patient(lucy)<~>~funny(lucy)))<=>(?[X]:(rich(X))))&
((?[X]:((kind(X)<~>~humble(X))))<=>(?[X]:((generous(X)<~>funny(X)))))&
(![X]:(kind(X)<=>(quiet... | ~kind(mary) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6796498994926463486781836
% SZS output start Proof for 6796498994926463486781836
6. ! [X0] : (kind(X0) <=> (quiet(X0) <~> calm(X0))) [input p5]
8. ! [X0] : (kind(X0) => (~calm(X0) <~> quiet(X0))) [input p7]
25. kind(mary) [input hypothesis]
34. ! [X0] : ((~calm(X0) <~> quiet(X0)) | ~kind(... | 0 |
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy ... | Alice is brave. | entailment | (![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | brave(alice) | [
"p1",
"p2",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7078898468447925323480993
% SZS output start Proof for 7078898468447925323480993
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((kind(X0) & brave(X0)) <=> old(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | old(X0)) => ~tall(X0)) [input p6]
15. ? [X0]... | 0 |
Everyone who is either not funny or not generous is either not tall or not generous and vice versa.
Everyone who is brave is both humble and patient and vice versa.
Everyone who is both not tall and not wise is not happy or old.
If someone is rich then lucy is either quiet or not funny and vice versa.
If paul is both t... | Fred is not quiet. | neutral | (![X]:((~funny(X)<~>~generous(X))<=>(~tall(X)<~>~generous(X))))&
(![X]:(brave(X)<=>(humble(X)&patient(X))))&
(![X]:((~tall(X)&~wise(X))=>(~happy(X)|old(X))))&
((?[X]:(rich(X)))<=>((quiet(lucy)<~>~funny(lucy))))&
(((tall(paul)&~happy(paul)))=>(?[X]:((~humble(X)&~calm(X)))))&
(![X]:((~brave(X)|patient(X))=>(kind(X)&brave... | ~quiet(fred) | [] | null | 0 |
Everyone who is not creative or patient is strong or creative and vice versa.
If paul is calm or rich then john is either kind or not patient and vice versa.
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred... | Fred is not tall. | entailment | (![X]:((~creative(X)|patient(X))<=>(strong(X)|creative(X))))&
(((calm(paul)|rich(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))... | ~tall(fred) | [
"p0",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8617909003427371800998118
% SZS output start Proof for 8617909003427371800998118
1. ! [X0] : ((patient(X0) | ~creative(X0)) <=> (creative(X0) | strong(X0))) [input p0]
10. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (curious(X0) | tall(X0))) [input p9]
14. ! [X0] : ((curious(X0) | ~curious(X0)... | 0 |
Everyone who is both rich and not wise is patient or tall. If someone is creative or old then paul is both not happy and happy and vice versa. Everyone who is not humble is not kind or not brave and vice versa. If someone is calm or curious then someone is both patient and not kind. Everyone who is either creative or n... | Susan is not humble. | entailment | (![X]:((rich(X)&~wise(X))=>(patient(X)|tall(X))))&
((?[X]:((creative(X)|old(X))))<=>((~happy(paul)&happy(paul))))&
(![X]:(~humble(X)<=>(~kind(X)|~brave(X))))&
((?[X]:((calm(X)|curious(X))))=>(?[X]:((patient(X)&~kind(X)))))&
(![X]:((creative(X)<~>~creative(X))=>(~happy(X)&kind(X))))&
((~creative(lucy))=>(?[X]:((~curious... | ~humble(susan) | [
"p2",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5614915070431538137855132
% SZS output start Proof for 5614915070431538137855132
3. ! [X0] : (~humble(X0) <=> (~brave(X0) | ~kind(X0))) [input p2]
4. ? [X0] : (curious(X0) | calm(X0)) => ? [X0] : (~kind(X0) & patient(X0)) [input p3]
5. ! [X0] : ((creative(X0) <~> ~creative(X0)) => (kind(X... | 0 |
If paul is both not happy and kind then someone is both calm and humble and vice versa.
If someone is either not old or tall then alice is strong or creative.
Everyone who is not patient is both patient and not brave.
Everyone who is not kind or humble is not tall or not strong and vice versa.
If lucy is both not creat... | Alice is kind. | contradiction | (((~happy(paul)&kind(paul)))<=>(?[X]:((calm(X)&humble(X)))))&
((?[X]:((~old(X)<~>tall(X))))=>((strong(alice)|creative(alice))))&
(![X]:(~patient(X)=>(patient(X)&~brave(X))))&
(![X]:((~kind(X)|humble(X))<=>(~tall(X)|~strong(X))))&
(((~creative(lucy)&rich(lucy)))<=>(?[X]:((humble(X)<~>~strong(X)))))&
((?[X]:((~curious(X)... | kind(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 32452689686796406757434
% SZS output start Proof for 32452689686796406757434
15. ! [X0] : ((funny(X0) <~> kind(X0)) <=> funny(X0)) [input p14]
25. kind(alice) [input hypothesis]
68. ! [X0] : ((((~kind(X0) | ~funny(X0)) & (kind(X0) | funny(X0))) | ~funny(X0)) & (funny(X0) | ((funny(X0) | ~... | 0 |
Everyone who is kind or not humble is both old and not tall. Everyone who is strong or old is both not wise and rich and vice versa. Everyone who is calm or tall is strong or calm and vice versa. If someone is either not generous or wise then paul is either not tall or rich. Everyone who is either brave or not rich is ... | John is not calm. | contradiction | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|tall(X))<=>(strong(X)|calm(X))))&
((?[X]:((~generous(X)<~>wise(X))))=>((~tall(paul)<~>rich(paul))))&
(![X]:((brave(X)<~>~rich(X))=>(~happy(X)<~>~strong(X))))&
(![X]:((creative(X)<~>~old(X))=>(brave(X)&~wi... | ~calm(john) | [
"p0",
"p1",
"p5",
"p6",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 772608171094346289506314
% SZS output start Proof for 772608171094346289506314
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
6. ! [X0] : ((creative(X0) <~> ~old(X0)) => (~wise(X0) & bra... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa. Everyone who is both brave and not brave is both not kind and kind. If someone is either calm or tall then someone is funny and vice versa. Everyone who is not calm or quiet is both not wise and not generous. If susan is not calm then som... | Susan is not humble. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
(![X]:((brave(X)&~brave(X))=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
... | ~humble(susan) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3306191149182710042743159
% SZS output start Proof for 3306191149182710042743159
12. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (funny(X0) | curious(X0))) [input p11]
15. ? [X0] : (curious(X0) & brave(X0)) <=> (curious(susan) | ~humble(susan)) [input p14]
24. ~humble(susan) [input hypoth... | 0 |
If someone is not happy or not tall then susan is either not quiet or kind and vice versa.
Everyone who is both tall and humble is rich.
Everyone who is happy is old or not wise and vice versa.
Everyone who is curious is both not kind and not strong and vice versa.
Everyone who is not curious is either not calm or not ... | Mary is wise. | entailment | ((?[X]:((~happy(X)|~tall(X))))<=>((~quiet(susan)<~>kind(susan))))&
(![X]:((tall(X)&humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(old(X)|~wise(X))))&
(![X]:(curious(X)<=>(~kind(X)&~strong(X))))&
(![X]:(~curious(X)=>(~calm(X)<~>~old(X))))&
(![X]:((~funny(X)&kind(X))=>(tall(X)|~patient(X))))&
(![X]:((~generous(X)&tall(X))=>(~... | wise(mary) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4383988764630745257209145
% SZS output start Proof for 4383988764630745257209145
3. ! [X0] : (happy(X0) <=> (~wise(X0) | old(X0))) [input p2]
12. ! [X0] : ((~old(X0) | strong(X0)) <=> (kind(X0) & ~happy(X0))) [input p11]
15. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (strong(X0) & wise(X0))) [... | 0 |
Everyone who is not calm is generous.
Everyone who is not tall or not calm is both rich and not calm and vice versa.
Everyone who is creative or not brave is creative.
If fred is both funny and patient then someone is rich or not tall and vice versa.
Everyone who is both calm and not curious is both not calm and calm a... | Alice is not tall. | neutral | (![X]:(~calm(X)=>generous(X)))&
(![X]:((~tall(X)|~calm(X))<=>(rich(X)&~calm(X))))&
(![X]:((creative(X)|~brave(X))=>creative(X)))&
(((funny(fred)&patient(fred)))<=>(?[X]:((rich(X)|~tall(X)))))&
(![X]:((calm(X)&~curious(X))<=>(~calm(X)&calm(X))))&
(![X]:((humble(X)&creative(X))<=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X)... | ~tall(alice) | [] | null | 0 |
Everyone who is either strong or patient is old.
Everyone who is both old and not happy is both not brave and not patient and vice versa.
Everyone who is both not humble and not tall is strong and vice versa.
Everyone who is either not curious or not funny is either generous or patient and vice versa.
If alice is wise ... | John is creative. | neutral | (![X]:((strong(X)<~>patient(X))=>old(X)))&
(![X]:((old(X)&~happy(X))<=>(~brave(X)&~patient(X))))&
(![X]:((~humble(X)&~tall(X))<=>strong(X)))&
(![X]:((~curious(X)<~>~funny(X))<=>(generous(X)<~>patient(X))))&
((wise(alice))<=>((kind(fred)<~>wise(fred))))&
((rich(alice))=>((~creative(mary)<~>patient(mary))))&
((?[X]:(~fun... | creative(john) | [] | null | 0 |
If alice is either brave or curious then someone is both not tall and rich and vice versa. If mary is both patient and kind then someone is not old or creative and vice versa. If alice is either not creative or not humble then someone is curious or tall. If fred is wise then mary is both calm and generous and vice vers... | John is not kind. | entailment | (((brave(alice)<~>curious(alice)))<=>(?[X]:((~tall(X)&rich(X)))))&
(((patient(mary)&kind(mary)))<=>(?[X]:((~old(X)|creative(X)))))&
(((~creative(alice)<~>~humble(alice)))=>(?[X]:((curious(X)|tall(X)))))&
((wise(fred))<=>((calm(mary)&generous(mary))))&
(![X]:((calm(X)&kind(X))=>~calm(X)))&
(((~patient(mary)|~quiet(mary)... | ~kind(john) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7308489722410073969254625
% SZS output start Proof for 7308489722410073969254625
5. ! [X0] : ((kind(X0) & calm(X0)) => ~calm(X0)) [input p4]
8. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> calm(X0)) [input p7]
22. kind(john) [input hypothesis]
26. ! [X0] : (~calm(X0) | (~kind(X0) | ~calm(X0))) [... | 0 |
If john is not generous or quiet then susan is either not kind or not quiet.
If alice is happy then alice is both calm and not quiet and vice versa.
Everyone who is both not brave and creative is wise and vice versa.
Everyone who is either not old or generous is both not patient and not creative and vice versa.
If some... | Lucy is quiet. | neutral | (((~generous(john)|quiet(john)))=>((~kind(susan)<~>~quiet(susan))))&
((happy(alice))<=>((calm(alice)&~quiet(alice))))&
(![X]:((~brave(X)&creative(X))<=>wise(X)))&
(![X]:((~old(X)<~>generous(X))<=>(~patient(X)&~creative(X))))&
((?[X]:((~tall(X)&~calm(X))))<=>(?[X]:((~funny(X)<~>funny(X)))))&
(![X]:((~curious(X)|tall(X))... | quiet(lucy) | [] | null | 0 |
Everyone who is either not funny or quiet is both not brave and not funny.
If someone is not patient or not old then someone is not old and vice versa.
Everyone who is not old is brave.
If someone is both wise and not happy then john is either humble or quiet.
Everyone who is strong or wise is both not curious and rich... | Mary is not funny. | neutral | (![X]:((~funny(X)<~>quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:(~old(X))))&
(![X]:(~old(X)=>brave(X)))&
((?[X]:((wise(X)&~happy(X))))=>((humble(john)<~>quiet(john))))&
(![X]:((strong(X)|wise(X))=>(~curious(X)&rich(X))))&
(![X]:(~curious(X)=>(~happy(X)<~>~rich(X))))&
(![X]:((creative(X)<... | ~funny(mary) | [] | null | 0 |
If susan is not strong or rich then alice is either funny or not brave and vice versa.
Everyone who is curious is generous or curious and vice versa.
If someone is not quiet or calm then someone is tall or creative.
Everyone who is either quiet or tall is wise and vice versa.
If someone is either funny or not brave the... | Fred is wise. | contradiction | (((~strong(susan)|rich(susan)))<=>((funny(alice)<~>~brave(alice))))&
(![X]:(curious(X)<=>(generous(X)|curious(X))))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((quiet(X)<~>tall(X))<=>wise(X)))&
((?[X]:((funny(X)<~>~brave(X))))<=>(patient(mary)))&
(((~rich(fred)|~kind(fred)))=>((old(susan)&~o... | wise(fred) | [
"p1",
"p6",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5225405595647781271347723
% SZS output start Proof for 5225405595647781271347723
2. ! [X0] : (curious(X0) <=> (curious(X0) | generous(X0))) [input p1]
7. ? [X0] : (happy(X0) <~> ~curious(X0)) => ? [X0] : (brave(X0) & ~brave(X0)) [input p6]
14. ! [X0] : ((strong(X0) <~> ~generous(X0)) <=> ... | 0 |
Everyone who is not rich or old is rich.
Everyone who is either calm or wise is either quiet or not wise.
Everyone who is both not rich and happy is both old and happy.
Everyone who is strong is humble or funny and vice versa.
Everyone who is not brave is old.
If lucy is either kind or not strong then someone is happy ... | Fred is tall. | neutral | (![X]:((~rich(X)|old(X))=>rich(X)))&
(![X]:((calm(X)<~>wise(X))=>(quiet(X)<~>~wise(X))))&
(![X]:((~rich(X)&happy(X))=>(old(X)&happy(X))))&
(![X]:(strong(X)<=>(humble(X)|funny(X))))&
(![X]:(~brave(X)=>old(X)))&
(((kind(lucy)<~>~strong(lucy)))=>(?[X]:((happy(X)|~creative(X)))))&
(![X]:((~happy(X)&~tall(X))<=>(~tall(X)&fu... | tall(fred) | [] | null | 0 |
If someone is not curious or not happy then someone is either quiet or not funny and vice versa.
Everyone who is not curious or not tall is not tall or kind.
Everyone who is calm is quiet or generous.
If someone is both not calm and not happy then john is not generous or funny and vice versa.
If someone is either happy... | John is not patient. | contradiction | ((?[X]:((~curious(X)|~happy(X))))<=>(?[X]:((quiet(X)<~>~funny(X)))))&
(![X]:((~curious(X)|~tall(X))=>(~tall(X)|kind(X))))&
(![X]:(calm(X)=>(quiet(X)|generous(X))))&
((?[X]:((~calm(X)&~happy(X))))<=>((~generous(john)|funny(john))))&
((?[X]:((happy(X)<~>brave(X))))=>((~curious(fred)|~calm(fred))))&
(![X]:(rich(X)<=>(old(... | ~patient(john) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1696026497119352262787661
% SZS output start Proof for 1696026497119352262787661
6. ! [X0] : (rich(X0) <=> (~patient(X0) | old(X0))) [input p5]
10. ! [X0] : (~quiet(X0) <=> (rich(X0) & quiet(X0))) [input p9]
23. ~patient(john) [input hypothesis]
49. ! [X0] : ((rich(X0) | (patient(X0) & ~o... | 0 |
Everyone who is not generous or calm is both not quiet and creative. If someone is either not calm or not humble then mary is not patient and vice versa. Everyone who is calm is both happy and tall and vice versa. Everyone who is either old or not quiet is either rich or not quiet and vice versa. If john is not old the... | Lucy is calm. | neutral | (![X]:((~generous(X)|calm(X))=>(~quiet(X)&creative(X))))&
((?[X]:((~calm(X)<~>~humble(X))))<=>(~patient(mary)))&
(![X]:(calm(X)<=>(happy(X)&tall(X))))&
(![X]:((old(X)<~>~quiet(X))<=>(rich(X)<~>~quiet(X))))&
((~old(john))<=>((~brave(susan)|~kind(susan))))&
(((~wise(susan)|curious(susan)))=>(~quiet(lucy)))&
(((calm(lucy)... | calm(lucy) | [] | null | 0 |
Everyone who is not rich is both not curious and not strong. If lucy is not brave or patient then someone is both calm and wise and vice versa. Everyone who is old is either not old or funny. Everyone who is patient or kind is not funny or calm and vice versa. Everyone who is both generous and not strong is either wise... | Fred is curious. | contradiction | (![X]:(~rich(X)=>(~curious(X)&~strong(X))))&
(((~brave(lucy)|patient(lucy)))<=>(?[X]:((calm(X)&wise(X)))))&
(![X]:(old(X)=>(~old(X)<~>funny(X))))&
(![X]:((patient(X)|kind(X))<=>(~funny(X)|calm(X))))&
(![X]:((generous(X)&~strong(X))<=>(wise(X)<~>brave(X))))&
(![X]:((humble(X)<~>~rich(X))<=>generous(X)))&
(![X]:((~kind(X... | curious(fred) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5477917690826313755557536
% SZS output start Proof for 5477917690826313755557536
1. ! [X0] : (~rich(X0) => (~strong(X0) & ~curious(X0))) [input p0]
24. ~wise(fred) & ~rich(fred) [input p23]
25. curious(fred) [input hypothesis]
26. ! [X0] : ((~strong(X0) & ~curious(X0)) | rich(X0)) [ennf t... | 0 |
Everyone who is not happy is either wise or tall and vice versa.
If mary is happy or not strong then someone is tall.
If someone is either not patient or quiet then paul is either not patient or happy and vice versa.
Everyone who is both curious and not brave is either creative or happy and vice versa.
Everyone who is ... | Lucy is curious. | entailment | (![X]:(~happy(X)<=>(wise(X)<~>tall(X))))&
(((happy(mary)|~strong(mary)))=>(?[X]:(tall(X))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>((~patient(paul)<~>happy(paul))))&
(![X]:((curious(X)&~brave(X))<=>(creative(X)<~>happy(X))))&
(![X]:((funny(X)&wise(X))<=>happy(X)))&
((?[X]:((humble(X)|~generous(X))))=>(old(paul)))&
(((hu... | curious(lucy) | [
"p3",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6630802575080016273938670
% SZS output start Proof for 6630802575080016273938670
4. ! [X0] : ((~brave(X0) & curious(X0)) <=> (creative(X0) <~> happy(X0))) [input p3]
14. ? [X0] : (happy(X0) <~> ~creative(X0)) <=> (~humble(lucy) & patient(lucy)) [input p13]
20. ~old(lucy) & ~patient(lucy) ... | 0 |
If lucy is not generous or wise then john is not creative or not wise and vice versa.
Everyone who is both not curious and calm is both not wise and not creative.
Everyone who is both funny and curious is either creative or not kind.
Everyone who is either not tall or not brave is rich or quiet.
Everyone who is rich is... | Lucy is not generous. | entailment | (((~generous(lucy)|wise(lucy)))<=>((~creative(john)|~wise(john))))&
(![X]:((~curious(X)&calm(X))=>(~wise(X)&~creative(X))))&
(![X]:((funny(X)&curious(X))=>(creative(X)<~>~kind(X))))&
(![X]:((~tall(X)<~>~brave(X))=>(rich(X)|quiet(X))))&
(![X]:(rich(X)=>(~funny(X)<~>tall(X))))&
(![X]:((curious(X)|old(X))<=>(rich(X)|~old(... | ~generous(lucy) | [
"p0",
"p5",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5902502688474905599427499
% SZS output start Proof for 5902502688474905599427499
1. (wise(lucy) | ~generous(lucy)) <=> (~wise(john) | ~creative(john)) [input p0]
6. ! [X0] : ((old(X0) | curious(X0)) <=> (~old(X0) | rich(X0))) [input p5]
11. ! [X0] : ((curious(X0) | ~patient(X0)) => ~creat... | 0 |
Everyone who is both quiet and not rich is both not generous and not old and vice versa.
Everyone who is generous or wise is either not humble or not happy.
Everyone who is not humble is strong or not wise and vice versa.
Everyone who is both wise and not quiet is not humble or not patient and vice versa.
Everyone who ... | Paul is not generous. | entailment | (![X]:((quiet(X)&~rich(X))<=>(~generous(X)&~old(X))))&
(![X]:((generous(X)|wise(X))=>(~humble(X)<~>~happy(X))))&
(![X]:(~humble(X)<=>(strong(X)|~wise(X))))&
(![X]:((wise(X)&~quiet(X))<=>(~humble(X)|~patient(X))))&
(![X]:(generous(X)=>(humble(X)&~quiet(X))))&
(![X]:((rich(X)&~generous(X))<=>(brave(X)&~tall(X))))&
((~qui... | ~generous(paul) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6520047409919818360902290
% SZS output start Proof for 6520047409919818360902290
5. ! [X0] : (generous(X0) => (~quiet(X0) & humble(X0))) [input p4]
8. (curious(susan) & ~rich(susan)) <=> ? [X0] : (~happy(X0) | humble(X0)) [input p7]
10. ! [X0] : ((~kind(X0) | curious(X0)) <=> (brave(X0) &... | 0 |
If someone is either quiet or not patient then someone is either not creative or quiet and vice versa. If john is both not generous and wise then fred is either not creative or not generous and vice versa. Everyone who is not strong or not brave is either not quiet or happy and vice versa. Everyone who is both patient ... | Mary is not humble. | neutral | ((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(((~generous(john)&wise(john)))<=>((~creative(fred)<~>~generous(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((patient(X)&~old(X))<=>(rich(X)<~>humble(X))))&
(![X]:((patient(X)|happy(X))<=>(strong(X)|~curious(X))))&
(... | ~humble(mary) | [] | null | 0 |
Everyone who is quiet or not curious is not wise or not quiet. If someone is not humble then fred is either funny or happy. If someone is not tall or brave then someone is both not old and not strong and vice versa. Everyone who is either not generous or creative is either kind or curious. Everyone who is both not old ... | Susan is not generous. | neutral | (![X]:((quiet(X)|~curious(X))=>(~wise(X)|~quiet(X))))&
((?[X]:(~humble(X)))=>((funny(fred)<~>happy(fred))))&
((?[X]:((~tall(X)|brave(X))))<=>(?[X]:((~old(X)&~strong(X)))))&
(![X]:((~generous(X)<~>creative(X))=>(kind(X)<~>curious(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~brave(X)|~tall(X))))&
(((happy(paul)|tall(paul)))<=>(... | ~generous(susan) | [] | null | 0 |
If alice is not kind or tall then someone is either not calm or not tall and vice versa.
Everyone who is funny or curious is either tall or happy.
Everyone who is both calm and not generous is not wise and vice versa.
Everyone who is both not rich and not generous is rich or calm and vice versa.
Everyone who is either ... | Alice is calm. | entailment | (((~kind(alice)|tall(alice)))<=>(?[X]:((~calm(X)<~>~tall(X)))))&
(![X]:((funny(X)|curious(X))=>(tall(X)<~>happy(X))))&
(![X]:((calm(X)&~generous(X))<=>~wise(X)))&
(![X]:((~rich(X)&~generous(X))<=>(rich(X)|calm(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~creative(X)|~kind(X))))&
(((~funny(paul)<~>~creative(paul)))=>(?[X]... | calm(alice) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4612173248499220203930391
% SZS output start Proof for 4612173248499220203930391
4. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (~kind(X0) | ~creative(X0))) [input p4]
8. ? [X0] : (rich(X0) & kind(X0)) <=> ? [X0... | 0 |
Everyone who is both wise and generous is both rich and not creative and vice versa.
Everyone who is creative or not curious is both not humble and not kind.
If someone is curious or not quiet then someone is not kind.
Everyone who is wise is both curious and creative.
If mary is happy or not quiet then someone is both... | Lucy is curious. | entailment | (![X]:((wise(X)&generous(X))<=>(rich(X)&~creative(X))))&
(![X]:((creative(X)|~curious(X))=>(~humble(X)&~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:(~kind(X))))&
(![X]:(wise(X)=>(curious(X)&creative(X))))&
(((happy(mary)|~quiet(mary)))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:((~wise(X)&~calm(X))))=>((~wise(john)<~>... | curious(lucy) | [
"p0",
"p1",
"p3",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5666936322979445674736902
% SZS output start Proof for 5666936322979445674736902
1. ! [X0] : ((generous(X0) & wise(X0)) <=> (~creative(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | creative(X0)) => (~kind(X0) & ~humble(X0))) [input p1]
4. ! [X0] : (wise(X0) => (creative(X0) & c... | 0 |
If someone is patient then lucy is either happy or tall and vice versa.
Everyone who is not kind is rich or wise.
Everyone who is funny is not old or not happy and vice versa.
Everyone who is both calm and not strong is creative or not humble.
Everyone who is curious or not happy is strong or not brave and vice versa.
... | Paul is not humble. | contradiction | ((?[X]:(patient(X)))<=>((happy(lucy)<~>tall(lucy))))&
(![X]:(~kind(X)=>(rich(X)|wise(X))))&
(![X]:(funny(X)<=>(~old(X)|~happy(X))))&
(![X]:((calm(X)&~strong(X))=>(creative(X)|~humble(X))))&
(![X]:((curious(X)|~happy(X))<=>(strong(X)|~brave(X))))&
(![X]:((~wise(X)&~old(X))<=>(old(X)<~>patient(X))))&
(![X]:((~calm(X)|old... | ~humble(paul) | [
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4754338355111880926704756
% SZS output start Proof for 4754338355111880926704756
9. ! [X0] : (~quiet(X0) <=> (~happy(X0) <~> quiet(X0))) [input p8]
11. ? [X0] : (~creative(X0) | ~brave(X0)) <=> humble(paul) [input p10]
12. ? [X0] : (creative(X0) | ~quiet(X0)) <=> (~curious(paul) & kind(pa... | 0 |
Everyone who is rich is either funny or not quiet.
If john is wise or not rich then alice is not generous or not quiet and vice versa.
Everyone who is either patient or funny is both not tall and patient.
If someone is both happy and not wise then someone is either happy or curious and vice versa.
Everyone who is not g... | Susan is not patient. | contradiction | (![X]:(rich(X)=>(funny(X)<~>~quiet(X))))&
(((wise(john)|~rich(john)))<=>((~generous(alice)|~quiet(alice))))&
(![X]:((patient(X)<~>funny(X))=>(~tall(X)&patient(X))))&
((?[X]:((happy(X)&~wise(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:(~generous(X)<=>(strong(X)&rich(X))))&
(![X]:((~rich(X)|~old(X))=>wise(X)))&
(![X... | ~patient(susan) | [
"p4",
"p6",
"p8",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2009723707009797727141229
% SZS output start Proof for 2009723707009797727141229
5. ! [X0] : (~generous(X0) <=> (rich(X0) & strong(X0))) [input p4]
7. ! [X0] : ((humble(X0) <~> patient(X0)) <=> (wise(X0) & ~strong(X0))) [input p6]
9. ! [X0] : (~creative(X0) <=> (~generous(X0) & happy(X0))... | 0 |
Everyone who is both brave and creative is both not happy and brave. If alice is either not happy or not rich then someone is both wise and not tall. If someone is either not brave or funny then someone is patient. If someone is either not wise or rich then paul is either not old or curious. Everyone who is both not st... | John is not creative. | contradiction | (![X]:((brave(X)&creative(X))=>(~happy(X)&brave(X))))&
(((~happy(alice)<~>~rich(alice)))=>(?[X]:((wise(X)&~tall(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~wise(X)<~>rich(X))))=>((~old(paul)<~>curious(paul))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|quiet(X))))&
((?[X]:((patient(X)|~funny(... | ~creative(john) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8281104389624310299254672
% SZS output start Proof for 8281104389624310299254672
11. ! [X0] : ((~happy(X0) | ~kind(X0)) => (old(X0) & creative(X0))) [input p10]
13. ! [X0] : ((quiet(X0) | happy(X0)) => (patient(X0) & ~patient(X0))) [input p12]
21. ~creative(john) [input hypothesis]
36. ! ... | 0 |
Everyone who is quiet is either not kind or humble. Everyone who is not funny is both not rich and curious. Everyone who is both happy and not creative is not happy and vice versa. If someone is either not old or creative then someone is both old and not old. Everyone who is both creative and funny is curious. Everyone... | John is not quiet. | neutral | (![X]:(quiet(X)=>(~kind(X)<~>humble(X))))&
(![X]:(~funny(X)=>(~rich(X)&curious(X))))&
(![X]:((happy(X)&~creative(X))<=>~happy(X)))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((creative(X)&funny(X))=>curious(X)))&
(![X]:((tall(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
(((~curious(lucy)|~... | ~quiet(john) | [] | null | 0 |
Everyone who is either tall or calm is both curious and not kind and vice versa. If someone is creative then someone is not humble and vice versa. If someone is either not quiet or wise then someone is both rich and not quiet and vice versa. Everyone who is not old or tall is both happy and not calm and vice versa. Eve... | Alice is tall. | contradiction | (![X]:((tall(X)<~>calm(X))<=>(curious(X)&~kind(X))))&
((?[X]:(creative(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~old(X)|tall(X))<=>(happy(X)&~calm(X))))&
(![X]:((old(X)<~>~kind(X))=>(kind(X)&patient(X))))&
(![X]:(strong(X)=>(~funny(X)<~>~curious(X))))&
(![X]:... | tall(alice) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8092923812609523604399085
% SZS output start Proof for 8092923812609523604399085
4. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~calm(X0) & happy(X0))) [input p3]
7. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> ~tall(X0)) [input p6]
22. tall(alice) [input hypothesis]
51. ! [X0] : (((tall(X0) | ~old(X0)... | 0 |
Everyone who is strong is either tall or curious and vice versa.
Everyone who is brave or not happy is either generous or not old and vice versa.
Everyone who is either quiet or rich is both kind and not tall.
Everyone who is not happy is either not generous or old and vice versa.
Everyone who is rich or not curious is... | Susan is patient. | entailment | (![X]:(strong(X)<=>(tall(X)<~>curious(X))))&
(![X]:((brave(X)|~happy(X))<=>(generous(X)<~>~old(X))))&
(![X]:((quiet(X)<~>rich(X))=>(kind(X)&~tall(X))))&
(![X]:(~happy(X)<=>(~generous(X)<~>old(X))))&
(![X]:((rich(X)|~curious(X))=>(~strong(X)&~happy(X))))&
((?[X]:(~patient(X)))=>(~curious(susan)))&
(![X]:((~calm(X)<~>~ha... | patient(susan) | [
"p4",
"p5",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 472052082835078536248093
% SZS output start Proof for 472052082835078536248093
5. ! [X0] : ((~curious(X0) | rich(X0)) => (~happy(X0) & ~strong(X0))) [input p4]
6. ? [X0] : ~patient(X0) => ~curious(susan) [input p5]
7. ! [X0] : ((~calm(X0) <~> ~happy(X0)) <=> (~funny(X0) | patient(X0))) [i... | 0 |
Everyone who is humble is either not curious or not creative.
If alice is not funny or quiet then someone is not happy and vice versa.
Everyone who is calm or wise is not rich and vice versa.
If someone is quiet then john is not strong and vice versa.
If someone is both brave and humble then susan is not wise or rich a... | John is tall. | entailment | (![X]:(humble(X)=>(~curious(X)<~>~creative(X))))&
(((~funny(alice)|quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|wise(X))<=>~rich(X)))&
((?[X]:(quiet(X)))<=>(~strong(john)))&
((?[X]:((brave(X)&humble(X))))<=>((~wise(susan)|rich(susan))))&
(![X]:((quiet(X)&~tall(X))<=>(~tall(X)<~>quiet(X))))&
(((~brave(paul)<~>~... | tall(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 78530844074908683535845
% SZS output start Proof for 78530844074908683535845
6. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p5]
25. ~tall(john) [input hypothesis]
50. ! [X0] : (((~tall(X0) & quiet(X0)) | ((~tall(X0) | ~quiet(X0)) & (quiet(X0) | tall(X0)))) & ((... | 0 |
Everyone who is either generous or curious is either not funny or rich and vice versa. Everyone who is brave or not brave is not funny or humble. Everyone who is either curious or kind is either not kind or not patient and vice versa. Everyone who is both not old and not kind is not strong and vice versa. Everyone who ... | John is tall. | entailment | (![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)&~kind(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(~old(X)&calm(X))))&
(![X]:((~curious(X)|~humble(X))=>rich(X)))&
(![X]:((~quiet(X)&wi... | tall(john) | [
"p4",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8937934155983705509719778
% SZS output start Proof for 8937934155983705509719778
5. ! [X0] : (~tall(X0) <=> (calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> curious(X0)) [input p6]
10. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> tall(X0)) [input p9]
13. ! [X0] : ((... | 0 |
If someone is calm then someone is not patient and vice versa. If lucy is both not brave and brave then someone is both old and tall and vice versa. Everyone who is not brave or strong is not creative or not generous and vice versa. Everyone who is either humble or curious is both humble and wise and vice versa. Everyo... | Paul is tall. | contradiction | ((?[X]:(calm(X)))<=>(?[X]:(~patient(X))))&
(((~brave(lucy)&brave(lucy)))<=>(?[X]:((old(X)&tall(X)))))&
(![X]:((~brave(X)|strong(X))<=>(~creative(X)|~generous(X))))&
(![X]:((humble(X)<~>curious(X))<=>(humble(X)&wise(X))))&
(![X]:((old(X)<~>brave(X))<=>(~tall(X)&calm(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(calm(X)&creat... | tall(paul) | [
"p1",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8688044485020292097779232
% SZS output start Proof for 8688044485020292097779232
2. (brave(lucy) & ~brave(lucy)) <=> ? [X0] : (tall(X0) & old(X0)) [input p1]
11. ! [X0] : ((generous(X0) | ~strong(X0)) <=> quiet(X0)) [input p10]
13. ! [X0] : ((strong(X0) <~> old(X0)) <=> (old(X0) & brave(X... | 0 |
Everyone who is either not humble or not brave is not old or wise and vice versa. Everyone who is not happy or quiet is either not quiet or calm. If alice is not calm or not creative then mary is curious and vice versa. If alice is happy or not patient then someone is either not tall or not generous. If fred is either ... | Alice is not calm. | contradiction | (![X]:((~humble(X)<~>~brave(X))<=>(~old(X)|wise(X))))&
(![X]:((~happy(X)|quiet(X))=>(~quiet(X)<~>calm(X))))&
(((~calm(alice)|~creative(alice)))<=>(curious(mary)))&
(((happy(alice)|~patient(alice)))=>(?[X]:((~tall(X)<~>~generous(X)))))&
(((kind(fred)<~>~old(fred)))=>(?[X]:((~calm(X)|calm(X)))))&
((?[X]:((wise(X)&~calm(X... | ~calm(alice) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9144342595203825862761323
% SZS output start Proof for 9144342595203825862761323
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~quiet(X0) <~> calm(X0))) [input p1]
16. ! [X0] : (~calm(X0) <=> (quiet(X0) & ~humble(X0))) [input p15]
23. ~calm(alice) [input hypothesis]
26. ! [X0] : ((~quiet(X0) ... | 0 |
If paul is not brave or not creative then someone is not curious. If susan is old then paul is either creative or not rich and vice versa. If alice is either not rich or wise then someone is either not happy or not curious and vice versa. If someone is either not happy or quiet then mary is not funny or strong and vice... | John is not creative. | entailment | (((~brave(paul)|~creative(paul)))=>(?[X]:(~curious(X))))&
((old(susan))<=>((creative(paul)<~>~rich(paul))))&
(((~rich(alice)<~>wise(alice)))<=>(?[X]:((~happy(X)<~>~curious(X)))))&
((?[X]:((~happy(X)<~>quiet(X))))<=>((~funny(mary)|strong(mary))))&
(![X]:((~happy(X)&brave(X))<=>creative(X)))&
(![X]:(brave(X)=>(happy(X)&~... | ~creative(john) | [
"p4",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8468941033718758920196264
% SZS output start Proof for 8468941033718758920196264
5. ! [X0] : ((brave(X0) & ~happy(X0)) <=> creative(X0)) [input p4]
6. ! [X0] : (brave(X0) => (~generous(X0) & happy(X0))) [input p5]
19. ~brave(john) | ~happy(john) [input p18]
24. creative(john) [input hypot... | 0 |
If lucy is both patient and not wise then someone is rich. Everyone who is both happy and not generous is either calm or not old and vice versa. If someone is happy or not tall then someone is both not old and quiet and vice versa. Everyone who is generous is either old or not rich and vice versa. Everyone who is not c... | Fred is happy. | entailment | (((patient(lucy)&~wise(lucy)))=>(?[X]:(rich(X))))&
(![X]:((happy(X)&~generous(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~old(X)&quiet(X)))))&
(![X]:(generous(X)<=>(old(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(funny(X)&~brave(X))))&
(![X]:((~happy(X)<~>~funny(X))=>brave(X)))&
(![X]:((~happy(X)<... | happy(fred) | [
"p1",
"p4",
"p5",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3892992146068863236799114
% SZS output start Proof for 3892992146068863236799114
2. ! [X0] : ((~generous(X0) & happy(X0)) <=> (calm(X0) <~> ~old(X0))) [input p1]
5. ! [X0] : (~curious(X0) <=> (~brave(X0) & funny(X0))) [input p4]
6. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => brave(X0)) [inpu... | 0 |
Everyone who is not wise or not happy is either wise or rich. Everyone who is either not creative or not rich is not humble and vice versa. If someone is not patient then susan is not patient. If fred is both generous and not strong then someone is not rich or not patient. If someone is not old then lucy is not rich an... | Lucy is not patient. | contradiction | (![X]:((~wise(X)|~happy(X))=>(wise(X)<~>rich(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>~humble(X)))&
((?[X]:(~patient(X)))=>(~patient(susan)))&
(((generous(fred)&~strong(fred)))=>(?[X]:((~rich(X)|~patient(X)))))&
((?[X]:(~old(X)))<=>(~rich(lucy)))&
(![X]:(~tall(X)=>(curious(X)|~generous(X))))&
((?[X]:((patient(X)<~>~ri... | ~patient(lucy) | [
"p2",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2585055590748541378270788
% SZS output start Proof for 2585055590748541378270788
3. ? [X0] : ~patient(X0) => ~patient(susan) [input p2]
9. (patient(lucy) & tall(lucy)) <=> (humble(susan) | ~curious(susan)) [input p8]
10. ! [X0] : ((strong(X0) & ~kind(X0)) <=> (~patient(X0) & curious(X0)))... | 0 |
Everyone who is both not quiet and not wise is both not rich and wise.
If susan is not old then someone is curious and vice versa.
Everyone who is not happy is either strong or not brave and vice versa.
Everyone who is both humble and not humble is either happy or curious and vice versa.
If someone is either quiet or n... | Susan is not creative. | contradiction | (![X]:((~quiet(X)&~wise(X))=>(~rich(X)&wise(X))))&
((~old(susan))<=>(?[X]:(curious(X))))&
(![X]:(~happy(X)<=>(strong(X)<~>~brave(X))))&
(![X]:((humble(X)&~humble(X))<=>(happy(X)<~>curious(X))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>(?[X]:((rich(X)<~>~strong(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((creative(X)&generous(X)))))&
... | ~creative(susan) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1219406191314855862420926
% SZS output start Proof for 1219406191314855862420926
14. ! [X0] : (curious(X0) => (creative(X0) & ~patient(X0))) [input p13]
19. curious(susan) [input p18]
25. ~creative(susan) [input hypothesis]
38. ! [X0] : ((creative(X0) & ~patient(X0)) | ~curious(X0)) [ennf... | 0 |
Everyone who is tall or curious is either not calm or happy and vice versa. Everyone who is either not brave or not tall is either not generous or strong. Everyone who is brave is old or tall. If paul is either old or patient then lucy is kind and vice versa. If someone is not creative or not funny then someone is not ... | Alice is calm. | entailment | (![X]:((tall(X)|curious(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((~brave(X)<~>~tall(X))=>(~generous(X)<~>strong(X))))&
(![X]:(brave(X)=>(old(X)|tall(X))))&
(((old(paul)<~>patient(paul)))<=>(kind(lucy)))&
((?[X]:((~creative(X)|~funny(X))))=>(?[X]:((~humble(X)|~strong(X)))))&
(![X]:((kind(X)|~quiet(X))=>(~humble(X)<~>~brave... | calm(alice) | [
"p0",
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6124261518277930606442497
% SZS output start Proof for 6124261518277930606442497
1. ! [X0] : ((curious(X0) | tall(X0)) <=> (~calm(X0) <~> happy(X0))) [input p0]
3. ! [X0] : (brave(X0) => (tall(X0) | old(X0))) [input p2]
15. ! [X0] : ((~calm(X0) | humble(X0)) => (brave(X0) & ~old(X0))) [in... | 0 |
If someone is both not creative and kind then susan is both not wise and rich and vice versa.
If someone is both calm and funny then susan is both tall and curious.
Everyone who is not funny or humble is either old or not happy and vice versa.
Everyone who is both happy and brave is both not curious and not calm and vi... | John is not kind. | neutral | ((?[X]:((~creative(X)&kind(X))))<=>((~wise(susan)&rich(susan))))&
((?[X]:((calm(X)&funny(X))))=>((tall(susan)&curious(susan))))&
(![X]:((~funny(X)|humble(X))<=>(old(X)<~>~happy(X))))&
(![X]:((happy(X)&brave(X))<=>(~curious(X)&~calm(X))))&
(![X]:(funny(X)<=>(~old(X)&humble(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~rich(X... | ~kind(john) | [] | null | 0 |
If lucy is both quiet and not tall then lucy is not rich.
Everyone who is both not old and patient is strong or curious and vice versa.
If someone is tall then mary is not creative and vice versa.
If someone is not quiet then someone is either not quiet or tall and vice versa.
Everyone who is either not rich or not hum... | Mary is not old. | entailment | (((quiet(lucy)&~tall(lucy)))=>(~rich(lucy)))&
(![X]:((~old(X)&patient(X))<=>(strong(X)|curious(X))))&
((?[X]:(tall(X)))<=>(~creative(mary)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>(patient(X)<~>~rich(X))))&
(![X]:((quiet(X)&generous(X))=>(~happy(X)|~strong(X))))&
((?[X]... | ~old(mary) | [
"p1",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5240031888716522417359960
% SZS output start Proof for 5240031888716522417359960
2. ! [X0] : ((patient(X0) & ~old(X0)) <=> (curious(X0) | strong(X0))) [input p1]
9. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> curious(X0)) [input p8]
10. ! [X0] : (~strong(X0) => (strong(X0) | ~tall(X0))) [input... | 0 |
If someone is either not creative or calm then someone is either not old or not calm. If someone is not curious then mary is not curious. Everyone who is not patient or happy is both quiet and rich. Everyone who is both not tall and curious is curious or not calm. If paul is both happy and not rich then someone is brav... | Paul is tall. | entailment | ((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((~old(X)<~>~calm(X)))))&
((?[X]:(~curious(X)))=>(~curious(mary)))&
(![X]:((~patient(X)|happy(X))=>(quiet(X)&rich(X))))&
(![X]:((~tall(X)&curious(X))=>(curious(X)|~calm(X))))&
(((happy(paul)&~rich(paul)))=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>tall(X)))&
((wise(paul)... | tall(paul) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3861245439678241813109987
% SZS output start Proof for 3861245439678241813109987
6. ! [X0] : ((~quiet(X0) | ~wise(X0)) => tall(X0)) [input p5]
15. ! [X0] : ((~kind(X0) | kind(X0)) <=> ~wise(X0)) [input p14]
23. ~tall(paul) [input hypothesis]
34. ! [X0] : (tall(X0) | (quiet(X0) & wise(X0))... | 0 |
If someone is either humble or not old then paul is both kind and wise.
If john is not curious then fred is not funny.
Everyone who is not calm is either not patient or wise and vice versa.
If someone is wise then mary is either not creative or not happy and vice versa.
Everyone who is not funny is both not strong and ... | John is not quiet. | entailment | ((?[X]:((humble(X)<~>~old(X))))=>((kind(paul)&wise(paul))))&
((~curious(john))=>(~funny(fred)))&
(![X]:(~calm(X)<=>(~patient(X)<~>wise(X))))&
((?[X]:(wise(X)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:(~funny(X)<=>(~strong(X)&funny(X))))&
((patient(fred))<=>(calm(mary)))&
(![X]:((old(X)<~>~calm(X))<=>(~curious(X)<~... | ~quiet(john) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9141203510014816988996212
% SZS output start Proof for 9141203510014816988996212
5. ! [X0] : (~funny(X0) <=> (funny(X0) & ~strong(X0))) [input p4]
11. ? [X0] : creative(X0) <=> ? [X0] : (~funny(X0) & ~tall(X0)) [input p10]
13. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p1... | 0 |
Everyone who is tall is both not funny and generous.
Everyone who is either happy or funny is either not funny or not tall and vice versa.
If susan is not rich or not happy then someone is patient or funny.
Everyone who is both not patient and curious is not funny and vice versa.
If someone is not happy then someone is... | Alice is not tall. | entailment | (![X]:(tall(X)=>(~funny(X)&generous(X))))&
(![X]:((happy(X)<~>funny(X))<=>(~funny(X)<~>~tall(X))))&
(((~rich(susan)|~happy(susan)))=>(?[X]:((patient(X)|funny(X)))))&
(![X]:((~patient(X)&curious(X))<=>~funny(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(patient(X)|cre... | ~tall(alice) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2558149905735685434167695
% SZS output start Proof for 2558149905735685434167695
1. ! [X0] : (tall(X0) => (generous(X0) & ~funny(X0))) [input p0]
2. ! [X0] : ((happy(X0) <~> funny(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p1]
4. ! [X0] : ((curious(X0) & ~patient(X0)) <=> ~funny(X0)) [in... | 0 |
Everyone who is not rich or not humble is either rich or tall. Everyone who is quiet is not patient and vice versa. Everyone who is both calm and not curious is either not calm or old and vice versa. Everyone who is either tall or not wise is brave. If paul is both not strong and creative then someone is both wise and ... | Paul is not patient. | entailment | (![X]:((~rich(X)|~humble(X))=>(rich(X)<~>tall(X))))&
(![X]:(quiet(X)<=>~patient(X)))&
(![X]:((calm(X)&~curious(X))<=>(~calm(X)<~>old(X))))&
(![X]:((tall(X)<~>~wise(X))=>brave(X)))&
(((~strong(paul)&creative(paul)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~happy(X)|strong(X))<=>(~humble(X)|~rich(X))))&
(![X]:((~creative... | ~patient(paul) | [
"p2",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7408882033698840076562065
% SZS output start Proof for 7408882033698840076562065
3. ! [X0] : ((~curious(X0) & calm(X0)) <=> (~calm(X0) <~> old(X0))) [input p2]
10. ! [X0] : ((kind(X0) | ~old(X0)) <=> ~curious(X0)) [input p9]
14. ? [X0] : (~generous(X0) | patient(X0)) => ? [X0] : (~old(X0)... | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Mary is not quiet. | entailment | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | ~quiet(mary) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7578736660230550914635153
% SZS output start Proof for 7578736660230550914635153
1. ? [X0] : (~generous(X0) <~> kind(X0)) => ? [X0] : ~happy(X0) [input p0]
4. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [in... | 0 |
Everyone who is either not curious or creative is creative or generous.
Everyone who is not brave or brave is curious.
Everyone who is not wise or not old is not generous or humble and vice versa.
If susan is rich or generous then someone is either creative or calm and vice versa.
If mary is either funny or curious the... | Susan is not funny. | entailment | (![X]:((~curious(X)<~>creative(X))=>(creative(X)|generous(X))))&
(![X]:((~brave(X)|brave(X))=>curious(X)))&
(![X]:((~wise(X)|~old(X))<=>(~generous(X)|humble(X))))&
(((rich(susan)|generous(susan)))<=>(?[X]:((creative(X)<~>calm(X)))))&
(((funny(mary)<~>curious(mary)))<=>((~creative(alice)|~patient(alice))))&
(((~humble(s... | ~funny(susan) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5878704636337387775497041
% SZS output start Proof for 5878704636337387775497041
12. ! [X0] : ((~calm(X0) | quiet(X0)) => (~funny(X0) & kind(X0))) [input p11]
22. ~happy(susan) & quiet(susan) [input p21]
24. funny(susan) [input hypothesis]
35. ! [X0] : ((~funny(X0) & kind(X0)) | (calm(X0)... | 0 |
Everyone who is either not calm or creative is either wise or not patient and vice versa.
Everyone who is both curious and happy is both not funny and not quiet and vice versa.
If paul is both not happy and not quiet then john is both not humble and not kind.
Everyone who is not creative or not tall is funny.
Everyone ... | John is not funny. | neutral | (![X]:((~calm(X)<~>creative(X))<=>(wise(X)<~>~patient(X))))&
(![X]:((curious(X)&happy(X))<=>(~funny(X)&~quiet(X))))&
(((~happy(paul)&~quiet(paul)))=>((~humble(john)&~kind(john))))&
(![X]:((~creative(X)|~tall(X))=>funny(X)))&
(![X]:(~calm(X)<=>(old(X)|happy(X))))&
((?[X]:((~curious(X)<~>~patient(X))))=>(~old(paul)))&
(!... | ~funny(john) | [] | null | 0 |
Everyone who is not tall or wise is both not generous and curious. If someone is not old then someone is both creative and not rich and vice versa. If someone is both not kind and humble then someone is either not kind or not calm and vice versa. Everyone who is not rich or generous is both not tall and not funny. If s... | Lucy is not rich. | contradiction | (![X]:((~tall(X)|wise(X))=>(~generous(X)&curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((creative(X)&~rich(X)))))&
((?[X]:((~kind(X)&humble(X))))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:((~rich(X)|generous(X))=>(~tall(X)&~funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~creative(X)&funny(X)))))&
(![X]:((wise(X)&~tall(X))<=>(wise(... | ~rich(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5672746967846820980552465
% SZS output start Proof for 5672746967846820980552465
1. ! [X0] : ((wise(X0) | ~tall(X0)) => (curious(X0) & ~generous(X0))) [input p0]
2. ? [X0] : ~old(X0) <=> ? [X0] : (~rich(X0) & creative(X0)) [input p1]
4. ! [X0] : ((generous(X0) | ~rich(X0)) => (~funny(X0) ... | 0 |
Everyone who is both not strong and not curious is tall or not strong.
If susan is calm or curious then paul is both not creative and not old.
If john is not humble then paul is either tall or not rich.
Everyone who is either tall or not rich is either happy or tall.
Everyone who is either not funny or not old is eithe... | Fred is quiet. | entailment | (![X]:((~strong(X)&~curious(X))=>(tall(X)|~strong(X))))&
(((calm(susan)|curious(susan)))=>((~creative(paul)&~old(paul))))&
((~humble(john))=>((tall(paul)<~>~rich(paul))))&
(![X]:((tall(X)<~>~rich(X))=>(happy(X)<~>tall(X))))&
(![X]:((~funny(X)<~>~old(X))=>(rich(X)<~>quiet(X))))&
(![X]:(patient(X)<=>curious(X)))&
((?[X]:... | quiet(fred) | [
"p4",
"p9",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5839521181702905315167429
% SZS output start Proof for 5839521181702905315167429
5. ! [X0] : ((~funny(X0) <~> ~old(X0)) => (rich(X0) <~> quiet(X0))) [input p4]
10. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~creative(X0) & curious(X0))) [input p9]
13. ! [X0] : ((~humble(X0) | ~creative(X0)) <... | 0 |
Everyone who is humble is kind. Everyone who is both kind and quiet is not strong. Everyone who is tall is both strong and not curious. Everyone who is either not tall or not curious is either not brave or not funny. Everyone who is either not patient or calm is brave or not rich and vice versa. If someone is both curi... | Alice is strong. | contradiction | (![X]:(humble(X)=>kind(X)))&
(![X]:((kind(X)&quiet(X))=>~strong(X)))&
(![X]:(tall(X)=>(strong(X)&~curious(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(brave(X)|~rich(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((rich(X)|~kind(X)))))&
(![X]:((wise(X)&~old(X))<=>... | strong(alice) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4678680890957065109850694
% SZS output start Proof for 4678680890957065109850694
2. ! [X0] : ((quiet(X0) & kind(X0)) => ~strong(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~curious(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (~brave(X0) <~> ~funny(X0))) [input... | 0 |
If someone is both not strong and strong then someone is both calm and not brave and vice versa.
If mary is either not tall or not funny then mary is both happy and not humble.
Everyone who is calm or not tall is both rich and not old.
If someone is patient or generous then lucy is both generous and not funny.
If paul ... | Fred is patient. | contradiction | ((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
(((~tall(mary)<~>~funny(mary)))=>((happy(mary)&~humble(mary))))&
(![X]:((calm(X)|~tall(X))=>(rich(X)&~old(X))))&
((?[X]:((patient(X)|generous(X))))=>((generous(lucy)&~funny(lucy))))&
(((~calm(paul)&~patient(paul)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(... | patient(fred) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 89026480908116366693662
% SZS output start Proof for 89026480908116366693662
4. ? [X0] : (generous(X0) | patient(X0)) => (~funny(lucy) & generous(lucy)) [input p3]
5. (~patient(paul) & ~calm(paul)) <=> ? [X0] : (strong(X0) <~> curious(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~brave(... | 0 |
Everyone who is brave is not generous and vice versa.
Everyone who is either funny or wise is not funny and vice versa.
Everyone who is not happy or quiet is both not calm and tall and vice versa.
If someone is old or curious then john is both kind and patient and vice versa.
Everyone who is brave or old is both wise a... | Susan is happy. | contradiction | (![X]:(brave(X)<=>~generous(X)))&
(![X]:((funny(X)<~>wise(X))<=>~funny(X)))&
(![X]:((~happy(X)|quiet(X))<=>(~calm(X)&tall(X))))&
((?[X]:((old(X)|curious(X))))<=>((kind(john)&patient(john))))&
(![X]:((brave(X)|old(X))=>(wise(X)&~brave(X))))&
((?[X]:((wise(X)|calm(X))))=>(?[X]:((creative(X)<~>~kind(X)))))&
((?[X]:((~kind... | happy(susan) | [
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8222673895281698027611783
% SZS output start Proof for 8222673895281698027611783
18. ~happy(susan) | old(susan) [input p17]
19. rich(susan) & ~old(susan) [input p18]
22. happy(susan) [input hypothesis]
131. ~happy(susan) | old(susan) [cnf transformation 18]
132. ~old(susan) [cnf transform... | 0 |
If someone is both old and tall then someone is strong or not generous. Everyone who is both creative and not generous is kind or happy. If someone is either not tall or not quiet then someone is funny or creative and vice versa. Everyone who is either not humble or strong is not happy or not kind. Everyone who is not ... | Fred is not kind. | entailment | ((?[X]:((old(X)&tall(X))))=>(?[X]:((strong(X)|~generous(X)))))&
(![X]:((creative(X)&~generous(X))=>(kind(X)|happy(X))))&
((?[X]:((~tall(X)<~>~quiet(X))))<=>(?[X]:((funny(X)|creative(X)))))&
(![X]:((~humble(X)<~>strong(X))=>(~happy(X)|~kind(X))))&
(![X]:(~kind(X)=>(creative(X)&~kind(X))))&
((?[X]:((~creative(X)<~>~rich(... | ~kind(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2515450888234170788522475
% SZS output start Proof for 2515450888234170788522475
19. ~kind(fred) & ~humble(fred) [input p18]
25. kind(fred) [input hypothesis]
139. ~kind(fred) [cnf transformation 19]
148. kind(fred) [cnf transformation 25]
307. $false [subsumption resolution 148,139]
% SZ... | 0 |
Everyone who is both not happy and tall is either not kind or not curious and vice versa. If susan is quiet or rich then paul is either humble or not strong. If someone is patient or generous then alice is both generous and tall. If someone is either not curious or funny then someone is either not humble or not rich an... | Lucy is curious. | contradiction | (![X]:((~happy(X)&tall(X))<=>(~kind(X)<~>~curious(X))))&
(((quiet(susan)|rich(susan)))=>((humble(paul)<~>~strong(paul))))&
((?[X]:((patient(X)|generous(X))))=>((generous(alice)&tall(alice))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((~humble(X)<~>~rich(X)))))&
(![X]:(patient(X)<=>(creative(X)&~humble(X))))&
((?[X]:... | curious(lucy) | [
"p3",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 224022747540844292528819
% SZS output start Proof for 224022747540844292528819
4. ? [X0] : (~curious(X0) <~> funny(X0)) <=> ? [X0] : (~humble(X0) <~> ~rich(X0)) [input p3]
5. ! [X0] : (patient(X0) <=> (~humble(X0) & creative(X0))) [input p4]
7. ! [X0] : ((~wise(X0) | funny(X0)) <=> wise(X... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either funny or not patient is old or not creative. If lucy is not kind then someone is generous or not funny and vice versa. If susan is both not curious and humble then mary is either not curious or happy. Everyone who is wise or not ge... | Mary is humble. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((funny(X)<~>~patient(X))=>(old(X)|~creative(X))))&
((~kind(lucy))<=>(?[X]:((generous(X)|~funny(X)))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~... | humble(mary) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2422212971069806040214774
% SZS output start Proof for 2422212971069806040214774
1. ! [X0] : ((~quiet(X0) | calm(X0)) <=> (rich(X0) | kind(X0))) [input p0]
5. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0... | 0 |
If someone is both not quiet and not happy then someone is either brave or not old and vice versa. Everyone who is both quiet and not wise is happy or not curious. Everyone who is not rich is either not quiet or brave and vice versa. If someone is not patient then someone is both brave and patient. Everyone who is quie... | Mary is not generous. | neutral | ((?[X]:((~quiet(X)&~happy(X))))<=>(?[X]:((brave(X)<~>~old(X)))))&
(![X]:((quiet(X)&~wise(X))=>(happy(X)|~curious(X))))&
(![X]:(~rich(X)<=>(~quiet(X)<~>brave(X))))&
((?[X]:(~patient(X)))=>(?[X]:((brave(X)&patient(X)))))&
(![X]:(quiet(X)<=>(~generous(X)|happy(X))))&
((?[X]:(wise(X)))<=>(?[X]:((tall(X)<~>~brave(X)))))&
(!... | ~generous(mary) | [] | null | 0 |
Everyone who is both generous and not curious is tall or not patient and vice versa. Everyone who is either not quiet or calm is both generous and patient. Everyone who is both not patient and generous is not brave or humble. Everyone who is either not brave or not strong is not tall or creative and vice versa. Everyon... | Fred is old. | neutral | (![X]:((generous(X)&~curious(X))<=>(tall(X)|~patient(X))))&
(![X]:((~quiet(X)<~>calm(X))=>(generous(X)&patient(X))))&
(![X]:((~patient(X)&generous(X))=>(~brave(X)|humble(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>(~tall(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))=>~quiet(X)))&
(![X]:((funny(X)&tall(X))=>(~patient(X)|... | old(fred) | [] | null | 0 |
Everyone who is either not humble or curious is both wise and not humble.
If someone is generous then mary is not old and vice versa.
If someone is creative then paul is not brave and vice versa.
Everyone who is both not funny and not strong is either quiet or not quiet and vice versa.
Everyone who is happy is not gene... | Mary is curious. | neutral | (![X]:((~humble(X)<~>curious(X))=>(wise(X)&~humble(X))))&
((?[X]:(generous(X)))<=>(~old(mary)))&
((?[X]:(creative(X)))<=>(~brave(paul)))&
(![X]:((~funny(X)&~strong(X))<=>(quiet(X)<~>~quiet(X))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((calm(X)|~quiet(X))<=>(creative(X)&brave(X))))&
((?[X]:((kind(X)&~generous(X))))<=>... | curious(mary) | [] | null | 0 |
Everyone who is not humble is not funny.
If mary is either curious or not creative then john is brave and vice versa.
Everyone who is either not quiet or calm is not brave or happy and vice versa.
If someone is quiet or happy then someone is both not wise and kind.
If alice is not old or not kind then someone is both n... | John is not old. | contradiction | (![X]:(~humble(X)=>~funny(X)))&
(((curious(mary)<~>~creative(mary)))<=>(brave(john)))&
(![X]:((~quiet(X)<~>calm(X))<=>(~brave(X)|happy(X))))&
((?[X]:((quiet(X)|happy(X))))=>(?[X]:((~wise(X)&kind(X)))))&
(((~old(alice)|~kind(alice)))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~patient(john)&curious(john)))<=>(?[X]:((rich(X)... | ~old(john) | [
"p2",
"p6",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6428832455580165264128688
% SZS output start Proof for 6428832455580165264128688
3. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (happy(X0) | ~brave(X0))) [input p2]
7. ! [X0] : ((~old(X0) | patient(X0)) <=> (~calm(X0) & ~strong(X0))) [input p6]
9. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (kind(... | 0 |
Everyone who is humble is not curious or wise and vice versa. If susan is not happy or not strong then someone is either strong or not wise. If someone is both funny and not strong then someone is not quiet or not rich. Everyone who is wise is not humble and vice versa. If alice is either creative or old then someone i... | Mary is creative. | contradiction | (![X]:(humble(X)<=>(~curious(X)|wise(X))))&
(((~happy(susan)|~strong(susan)))=>(?[X]:((strong(X)<~>~wise(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:(wise(X)<=>~humble(X)))&
(((creative(alice)<~>old(alice)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((humble(X)|kind(X))=>(~patient(X)|quie... | creative(mary) | [
"p0",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6410309482400091527224415
% SZS output start Proof for 6410309482400091527224415
1. ! [X0] : (humble(X0) <=> (wise(X0) | ~curious(X0))) [input p0]
4. ! [X0] : (wise(X0) <=> ~humble(X0)) [input p3]
15. ! [X0] : (~creative(X0) <=> (~humble(X0) <~> ~wise(X0))) [input p14]
22. creative(mary) ... | 0 |
If lucy is not tall then someone is calm. Everyone who is not happy is not kind or not funny and vice versa. Everyone who is both not old and curious is both not humble and wise and vice versa. If someone is both kind and calm then someone is strong. Everyone who is quiet is both not funny and old. If someone is funny ... | Mary is old. | entailment | ((~tall(lucy))=>(?[X]:(calm(X))))&
(![X]:(~happy(X)<=>(~kind(X)|~funny(X))))&
(![X]:((~old(X)&curious(X))<=>(~humble(X)&wise(X))))&
((?[X]:((kind(X)&calm(X))))=>(?[X]:(strong(X))))&
(![X]:(quiet(X)=>(~funny(X)&old(X))))&
((?[X]:(funny(X)))=>(?[X]:(calm(X))))&
((?[X]:((~brave(X)<~>~old(X))))<=>(~patient(susan)))&
(![X]:... | old(mary) | [
"p4",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6723519039743018215238646
% SZS output start Proof for 6723519039743018215238646
5. ! [X0] : (quiet(X0) => (old(X0) & ~funny(X0))) [input p4]
16. quiet(mary) <=> ? [X0] : (strong(X0) | ~rich(X0)) [input p15]
22. ? [X0] : (~calm(X0) & strong(X0)) [input p21]
25. ~old(mary) [input hypothesi... | 0 |
If mary is old then someone is either not happy or not rich and vice versa. Everyone who is either quiet or wise is tall. Everyone who is not brave or happy is both wise and not rich and vice versa. Everyone who is either strong or not curious is both not quiet and not tall. Everyone who is either not kind or strong is... | Alice is calm. | neutral | ((old(mary))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
(![X]:((quiet(X)<~>wise(X))=>tall(X)))&
(![X]:((~brave(X)|happy(X))<=>(wise(X)&~rich(X))))&
(![X]:((strong(X)<~>~curious(X))=>(~quiet(X)&~tall(X))))&
(![X]:((~kind(X)<~>strong(X))=>(humble(X)<~>~generous(X))))&
(![X]:(~funny(X)<=>(~quiet(X)<~>funny(X))))&
(((strong(mary)... | calm(alice) | [] | null | 0 |
Everyone who is funny is either rich or not tall and vice versa. If someone is not brave then susan is not brave or tall and vice versa. Everyone who is either quiet or humble is not old or patient. If someone is both quiet and not old then someone is quiet or happy. If someone is either patient or not wise then mary i... | Fred is strong. | entailment | (![X]:(funny(X)<=>(rich(X)<~>~tall(X))))&
((?[X]:(~brave(X)))<=>((~brave(susan)|tall(susan))))&
(![X]:((quiet(X)<~>humble(X))=>(~old(X)|patient(X))))&
((?[X]:((quiet(X)&~old(X))))=>(?[X]:((quiet(X)|happy(X)))))&
((?[X]:((patient(X)<~>~wise(X))))<=>(~strong(mary)))&
(![X]:(~brave(X)<=>(brave(X)&~strong(X))))&
(((rich(ma... | strong(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1133998001277157194936755
% SZS output start Proof for 1133998001277157194936755
6. ! [X0] : (~brave(X0) <=> (~strong(X0) & brave(X0))) [input p5]
24. ~strong(fred) [input hypothesis]
50. ! [X0] : ((~brave(X0) | (strong(X0) | ~brave(X0))) & ((~strong(X0) & brave(X0)) | brave(X0))) [nnf tr... | 0 |
Everyone who is either kind or quiet is either not generous or not curious.
Everyone who is either rich or not happy is either not quiet or rich and vice versa.
Everyone who is both not patient and not quiet is not brave or not calm and vice versa.
Everyone who is wise is both happy and rich.
Everyone who is both not f... | Susan is not rich. | neutral | (![X]:((kind(X)<~>quiet(X))=>(~generous(X)<~>~curious(X))))&
(![X]:((rich(X)<~>~happy(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~brave(X)|~calm(X))))&
(![X]:(wise(X)=>(happy(X)&rich(X))))&
(![X]:((~funny(X)&rich(X))=>strong(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>rich(X))))&
(![X]:((quiet(X)|rich(X))... | ~rich(susan) | [] | null | 0 |
Everyone who is creative is not generous or funny and vice versa.
Everyone who is either kind or generous is either not happy or calm and vice versa.
Everyone who is both calm and funny is creative or curious and vice versa.
Everyone who is humble or not creative is not kind and vice versa.
If fred is patient then some... | Susan is old. | contradiction | (![X]:(creative(X)<=>(~generous(X)|funny(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~happy(X)<~>calm(X))))&
(![X]:((calm(X)&funny(X))<=>(creative(X)|curious(X))))&
(![X]:((humble(X)|~creative(X))<=>~kind(X)))&
((patient(fred))<=>(?[X]:((quiet(X)<~>generous(X)))))&
(((funny(fred)|~humble(fred)))<=>(?[X]:((~strong(X)|funny... | old(susan) | [
"p0",
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 360403617215875127871807
% SZS output start Proof for 360403617215875127871807
1. ! [X0] : (creative(X0) <=> (funny(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((funny(X0) & calm(X0)) <=> (curious(X0) | creative(X0))) [input p2]
10. ? [X0] : (~curious(X0) & old(X0)) => ~generous(alice) [... | 0 |
If someone is either kind or not creative then mary is either not kind or not humble. If someone is both not strong and not kind then someone is both not patient and not rich and vice versa. Everyone who is both old and creative is strong and vice versa. If someone is either not patient or happy then susan is either ha... | Susan is patient. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((~kind(mary)<~>~humble(mary))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((old(X)&creative(X))<=>strong(X)))&
((?[X]:((~patient(X)<~>happy(X))))=>((happy(susan)<~>patient(susan))))&
(![X]:(kind(X)=>~curious(X)))&
(((~rich(mary)<~>funny(mary)))<=>(~h... | patient(susan) | [
"p2",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2849522215852288148420413
% SZS output start Proof for 2849522215852288148420413
3. ! [X0] : ((creative(X0) & old(X0)) <=> strong(X0)) [input p2]
8. ! [X0] : (patient(X0) => strong(X0)) [input p7]
16. ! [X0] : ((patient(X0) <~> old(X0)) <=> patient(X0)) [input p15]
23. patient(susan) [inp... | 0 |
If someone is strong then fred is brave or calm and vice versa.
Everyone who is not curious is not old.
Everyone who is tall or not generous is not humble.
Everyone who is both not creative and not rich is calm or not rich and vice versa.
Everyone who is either not tall or tall is either not rich or not curious and vic... | John is not creative. | entailment | ((?[X]:(strong(X)))<=>((brave(fred)|calm(fred))))&
(![X]:(~curious(X)=>~old(X)))&
(![X]:((tall(X)|~generous(X))=>~humble(X)))&
(![X]:((~creative(X)&~rich(X))<=>(calm(X)|~rich(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~rich(X)<~>~curious(X))))&
(((~old(susan)|quiet(susan)))=>((humble(fred)|~curious(fred))))&
((?[X]:((~gener... | ~creative(john) | [
"p3",
"p4",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3588035760835334764452330
% SZS output start Proof for 3588035760835334764452330
4. ! [X0] : ((~rich(X0) & ~creative(X0)) <=> (~rich(X0) | calm(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> tall(X0)) <=> (~rich(X0) <~> ~curious(X0))) [input p4]
9. ! [X0] : ((kind(X0) | brave(X0)) <=> (old(... | 0 |
Everyone who is either curious or not generous is not funny or not curious and vice versa.
If someone is either not rich or rich then paul is either quiet or not rich.
Everyone who is not funny is not happy or quiet and vice versa.
Everyone who is either creative or not humble is generous.
Everyone who is wise is not k... | Susan is humble. | neutral | (![X]:((curious(X)<~>~generous(X))<=>(~funny(X)|~curious(X))))&
((?[X]:((~rich(X)<~>rich(X))))=>((quiet(paul)<~>~rich(paul))))&
(![X]:(~funny(X)<=>(~happy(X)|quiet(X))))&
(![X]:((creative(X)<~>~humble(X))=>generous(X)))&
(![X]:(wise(X)=>~kind(X)))&
(![X]:((~brave(X)<~>~quiet(X))<=>kind(X)))&
(![X]:((curious(X)<~>patien... | humble(susan) | [] | null | 0 |
Everyone who is not kind or not creative is both calm and curious and vice versa. If someone is happy then someone is both not curious and old and vice versa. If someone is either generous or funny then lucy is happy. If lucy is brave or not brave then someone is not wise and vice versa. If alice is both patient and st... | Lucy is not funny. | neutral | (![X]:((~kind(X)|~creative(X))<=>(calm(X)&curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~curious(X)&old(X)))))&
((?[X]:((generous(X)<~>funny(X))))=>(happy(lucy)))&
(((brave(lucy)|~brave(lucy)))<=>(?[X]:(~wise(X))))&
(((patient(alice)&strong(alice)))<=>((creative(alice)|~brave(alice))))&
(![X]:((~creative(X)&~quiet(X))=>(... | ~funny(lucy) | [] | null | 0 |
Everyone who is both not humble and tall is either not funny or old and vice versa. Everyone who is not wise is both wise and not rich and vice versa. If john is not brave then mary is either calm or quiet and vice versa. If someone is both rich and kind then susan is not rich or old. Everyone who is humble or not curi... | Fred is strong. | neutral | (![X]:((~humble(X)&tall(X))<=>(~funny(X)<~>old(X))))&
(![X]:(~wise(X)<=>(wise(X)&~rich(X))))&
((~brave(john))<=>((calm(mary)<~>quiet(mary))))&
((?[X]:((rich(X)&kind(X))))=>((~rich(susan)|old(susan))))&
(![X]:((humble(X)|~curious(X))=>~funny(X)))&
((?[X]:((brave(X)<~>rich(X))))<=>(?[X]:((~brave(X)|~funny(X)))))&
((creat... | strong(fred) | [] | null | 0 |
Everyone who is both not creative and curious is not strong.
Everyone who is both not calm and happy is strong and vice versa.
Everyone who is either creative or not quiet is both old and not patient and vice versa.
Everyone who is either not patient or not creative is not rich or not kind and vice versa.
If lucy is no... | Lucy is wise. | contradiction | (![X]:((~creative(X)&curious(X))=>~strong(X)))&
(![X]:((~calm(X)&happy(X))<=>strong(X)))&
(![X]:((creative(X)<~>~quiet(X))<=>(old(X)&~patient(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~rich(X)|~kind(X))))&
((~calm(lucy))<=>(?[X]:((~patient(X)&old(X)))))&
((?[X]:((funny(X)&curious(X))))<=>((calm(susan)|~tall(susan))... | wise(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1219411059142798256712338
% SZS output start Proof for 1219411059142798256712338
8. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> (curious(X0) & ~wise(X0))) [input p7]
24. wise(lucy) [input hypothesis]
56. ! [X0] : ((((~rich(X0) | rich(X0)) & (rich(X0) | ~rich(X0))) | (~curious(X0) | wise(X0))) ... | 0 |
Everyone who is both quiet and brave is either old or not funny and vice versa.
If alice is not quiet or funny then alice is either not quiet or patient.
If someone is either wise or not old then alice is either curious or generous.
Everyone who is both not patient and patient is happy or not brave and vice versa.
If s... | Alice is generous. | entailment | (![X]:((quiet(X)&brave(X))<=>(old(X)<~>~funny(X))))&
(((~quiet(alice)|funny(alice)))=>((~quiet(alice)<~>patient(alice))))&
((?[X]:((wise(X)<~>~old(X))))=>((curious(alice)<~>generous(alice))))&
(![X]:((~patient(X)&patient(X))<=>(happy(X)|~brave(X))))&
((?[X]:(~patient(X)))=>(~happy(john)))&
((?[X]:((quiet(X)&~curious(X)... | generous(alice) | [
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3871266101304444092872945
% SZS output start Proof for 3871266101304444092872945
4. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (~brave(X0) | happy(X0))) [input p3]
10. ! [X0] : ((~curious(X0) & brave(X0)) <=> (quiet(X0) <~> ~curious(X0))) [input p9]
15. ! [X0] : ((~quiet(X0) | patient(X0)... | 0 |
Everyone who is not calm is both funny and brave and vice versa.
Everyone who is either strong or happy is not strong or calm.
If someone is not brave then mary is either wise or not happy.
Everyone who is either rich or not strong is quiet.
If someone is not wise then someone is either funny or not funny.
Everyone who... | Mary is wise. | contradiction | (![X]:(~calm(X)<=>(funny(X)&brave(X))))&
(![X]:((strong(X)<~>happy(X))=>(~strong(X)|calm(X))))&
((?[X]:(~brave(X)))=>((wise(mary)<~>~happy(mary))))&
(![X]:((rich(X)<~>~strong(X))=>quiet(X)))&
((?[X]:(~wise(X)))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:(~old(X)<=>quiet(X)))&
(((wise(lucy)|creative(lucy)))=>(~rich(lucy))... | wise(mary) | [
"p2",
"p5",
"p10",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8775846480567644089985254
% SZS output start Proof for 8775846480567644089985254
3. ? [X0] : ~brave(X0) => (wise(mary) <~> ~happy(mary)) [input p2]
6. ! [X0] : (~old(X0) <=> quiet(X0)) [input p5]
11. ! [X0] : (~quiet(X0) <=> (old(X0) <~> strong(X0))) [input p10]
14. ? [X0] : (generous(X0)... | 0 |
If susan is either kind or funny then someone is both not wise and not funny and vice versa.
If someone is not old then mary is both happy and wise.
If someone is either curious or not wise then john is either not calm or not creative and vice versa.
If john is either tall or not generous then someone is not old and vi... | Fred is not tall. | contradiction | (((kind(susan)<~>funny(susan)))<=>(?[X]:((~wise(X)&~funny(X)))))&
((?[X]:(~old(X)))=>((happy(mary)&wise(mary))))&
((?[X]:((curious(X)<~>~wise(X))))<=>((~calm(john)<~>~creative(john))))&
(((tall(john)<~>~generous(john)))<=>(?[X]:(~old(X))))&
((?[X]:(generous(X)))=>(?[X]:(~curious(X))))&
(((brave(paul)|old(paul)))=>((~hu... | ~tall(fred) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8869964440550750588940361
% SZS output start Proof for 8869964440550750588940361
7. ? [X0] : (~tall(X0) & ~calm(X0)) => ? [X0] : (~wise(X0) & rich(X0)) [input p6]
8. ! [X0] : ((~calm(X0) | strong(X0)) <=> (~rich(X0) & wise(X0))) [input p7]
15. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (rich(X... | 0 |
Everyone who is not kind is not patient or funny and vice versa.
If someone is not funny or not rich then someone is not rich and vice versa.
Everyone who is not strong or not quiet is either not funny or not calm and vice versa.
Everyone who is not strong is both creative and not creative and vice versa.
Everyone who ... | Susan is not happy. | neutral | (![X]:(~kind(X)<=>(~patient(X)|funny(X))))&
((?[X]:((~funny(X)|~rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~strong(X)|~quiet(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:(~strong(X)<=>(creative(X)&~creative(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~patient(X)&~old(X))))&
(![X]:(~rich(X)<=>(strong(X)|generous(X))))&
(![X]:(~t... | ~happy(susan) | [] | null | 0 |
If paul is rich or not generous then paul is not quiet. Everyone who is either patient or rich is not curious or quiet. Everyone who is both old and calm is happy or not old. Everyone who is both brave and happy is either not brave or generous. Everyone who is both not curious and not old is curious and vice versa. Eve... | Paul is generous. | neutral | (((rich(paul)|~generous(paul)))=>(~quiet(paul)))&
(![X]:((patient(X)<~>rich(X))=>(~curious(X)|quiet(X))))&
(![X]:((old(X)&calm(X))=>(happy(X)|~old(X))))&
(![X]:((brave(X)&happy(X))=>(~brave(X)<~>generous(X))))&
(![X]:((~curious(X)&~old(X))<=>curious(X)))&
(![X]:(~generous(X)<=>~creative(X)))&
(![X]:(patient(X)=>(~stron... | generous(paul) | [] | null | 0 |
Everyone who is either not kind or not creative is curious or not kind. Everyone who is both not generous and not tall is old. If someone is both tall and quiet then susan is both curious and rich. If lucy is not rich then susan is either generous or not generous and vice versa. If susan is either patient or quiet then... | Lucy is not kind. | entailment | (![X]:((~kind(X)<~>~creative(X))=>(curious(X)|~kind(X))))&
(![X]:((~generous(X)&~tall(X))=>old(X)))&
((?[X]:((tall(X)&quiet(X))))=>((curious(susan)&rich(susan))))&
((~rich(lucy))<=>((generous(susan)<~>~generous(susan))))&
(((patient(susan)<~>quiet(susan)))=>(?[X]:((~humble(X)|~patient(X)))))&
(![X]:(~creative(X)=>(~kin... | ~kind(lucy) | [
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8651315261406706100840487
% SZS output start Proof for 8651315261406706100840487
6. ! [X0] : (~creative(X0) => (brave(X0) & ~kind(X0))) [input p5]
7. (creative(susan) <~> ~tall(susan)) <=> ? [X0] : (curious(X0) <~> ~tall(X0)) [input p6]
8. ! [X0] : (calm(X0) => kind(X0)) [input p7]
9. ! [... | 0 |
Everyone who is not curious or not funny is either tall or strong and vice versa. If someone is either funny or not brave then mary is patient and vice versa. If fred is not rich or not kind then susan is both old and not old. If someone is either happy or not curious then someone is both not brave and brave. If someon... | Susan is not kind. | entailment | (![X]:((~curious(X)|~funny(X))<=>(tall(X)<~>strong(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>(patient(mary)))&
(((~rich(fred)|~kind(fred)))=>((old(susan)&~old(susan))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&brave(X)))))&
((?[X]:((~curious(X)|creative(X))))=>(?[X]:(~creative(X))))&
((?[X]:((happy(X)|~ca... | ~kind(susan) | [
"p3",
"p6",
"p8",
"p10",
"p13",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3453437616716245648123849
% SZS output start Proof for 3453437616716245648123849
4. ? [X0] : (happy(X0) <~> ~curious(X0)) => ? [X0] : (brave(X0) & ~brave(X0)) [input p3]
7. ! [X0] : ((rich(X0) & strong(X0)) <=> (quiet(X0) | ~calm(X0))) [input p6]
9. ! [X0] : ((old(X0) & calm(X0)) <=> (cur... | 0 |
If alice is not curious or not creative then someone is either not brave or not strong. If susan is both humble and not humble then fred is both calm and old and vice versa. Everyone who is not old is both strong and brave. If mary is not brave then someone is either humble or not creative. Everyone who is either not b... | Fred is calm. | contradiction | (((~curious(alice)|~creative(alice)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(((humble(susan)&~humble(susan)))<=>((calm(fred)&old(fred))))&
(![X]:(~old(X)=>(strong(X)&brave(X))))&
((~brave(mary))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>calm(X))<... | calm(fred) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 506018751669888388817881
% SZS output start Proof for 506018751669888388817881
2. (~humble(susan) & humble(susan)) <=> (old(fred) & calm(fred)) [input p1]
3. ! [X0] : (~old(X0) => (brave(X0) & strong(X0))) [input p2]
6. ! [X0] : ((~old(X0) <~> calm(X0)) <=> (~brave(X0) <~> brave(X0))) [in... | 0 |
Everyone who is not funny is either not calm or not funny.
Everyone who is curious is either creative or not quiet.
Everyone who is both not generous and not tall is both not creative and funny.
If someone is old or strong then someone is either not quiet or not brave.
If someone is either not old or wise then someone ... | Alice is funny. | contradiction | (![X]:(~funny(X)=>(~calm(X)<~>~funny(X))))&
(![X]:(curious(X)=>(creative(X)<~>~quiet(X))))&
(![X]:((~generous(X)&~tall(X))=>(~creative(X)&funny(X))))&
((?[X]:((old(X)|strong(X))))=>(?[X]:((~quiet(X)<~>~brave(X)))))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[X]:((~happy(X)<~>patient(X)))))&
((?[X]:(quiet(X)))=>(?[X]:(~funny(X)... | funny(alice) | [
"p6",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3725226668089006811949136
% SZS output start Proof for 3725226668089006811949136
7. ? [X0] : kind(X0) => (~wise(alice) & ~funny(alice)) [input p6]
12. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (tall(X0) & ~brave(X0))) [input p11]
13. ! [X0] : ((kind(X0) <~> ~generous(X0)) <=> brave(X0))... | 0 |
If someone is not kind then someone is both generous and not creative.
Everyone who is either not rich or not generous is either brave or old and vice versa.
Everyone who is either not kind or curious is either not funny or creative.
If fred is creative or not generous then someone is patient or not quiet and vice vers... | Susan is not kind. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((~rich(X)<~>~generous(X))<=>(brave(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~funny(X)<~>creative(X))))&
(((creative(fred)|~generous(fred)))<=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((creative(X)<~>strong(X))=>(~humble(X)<~>brave(X))))&
(![X]:(~st... | ~kind(susan) | [] | null | 0 |
Everyone who is either not wise or tall is not kind and vice versa.
Everyone who is both calm and not patient is both kind and strong and vice versa.
Everyone who is not calm or rich is kind or not patient.
If someone is not tall then someone is patient.
Everyone who is either old or not happy is both brave and not wis... | Alice is curious. | neutral | (![X]:((~wise(X)<~>tall(X))<=>~kind(X)))&
(![X]:((calm(X)&~patient(X))<=>(kind(X)&strong(X))))&
(![X]:((~calm(X)|rich(X))=>(kind(X)|~patient(X))))&
((?[X]:(~tall(X)))=>(?[X]:(patient(X))))&
(![X]:((old(X)<~>~happy(X))<=>(brave(X)&~wise(X))))&
((?[X]:((~brave(X)|~patient(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((~tall(X)<~>~... | curious(alice) | [] | null | 0 |
If someone is not rich or old then someone is either kind or funny.
If fred is both not calm and not brave then someone is humble.
Everyone who is both not patient and creative is both not patient and tall.
If someone is either strong or humble then someone is both humble and not creative and vice versa.
If susan is pa... | Paul is kind. | neutral | ((?[X]:((~rich(X)|old(X))))=>(?[X]:((kind(X)<~>funny(X)))))&
(((~calm(fred)&~brave(fred)))=>(?[X]:(humble(X))))&
(![X]:((~patient(X)&creative(X))=>(~patient(X)&tall(X))))&
((?[X]:((strong(X)<~>humble(X))))<=>(?[X]:((humble(X)&~creative(X)))))&
(((patient(susan)|~strong(susan)))<=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((c... | kind(paul) | [] | null | 0 |
Everyone who is not creative or not brave is not curious.
Everyone who is not brave or not creative is both not funny and strong.
Everyone who is not tall is not calm or not creative.
Everyone who is either funny or strong is wise or not patient and vice versa.
Everyone who is not happy or not funny is either creative ... | John is quiet. | entailment | (![X]:((~creative(X)|~brave(X))=>~curious(X)))&
(![X]:((~brave(X)|~creative(X))=>(~funny(X)&strong(X))))&
(![X]:(~tall(X)=>(~calm(X)|~creative(X))))&
(![X]:((funny(X)<~>strong(X))<=>(wise(X)|~patient(X))))&
(![X]:((~happy(X)|~funny(X))<=>(creative(X)<~>patient(X))))&
(![X]:((old(X)<~>strong(X))=>(~quiet(X)&humble(X))))... | quiet(john) | [
"p1",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8217435174695967718862225
% SZS output start Proof for 8217435174695967718862225
2. ! [X0] : ((~creative(X0) | ~brave(X0)) => (strong(X0) & ~funny(X0))) [input p1]
15. ! [X0] : (~curious(X0) <=> (~strong(X0) & calm(X0))) [input p14]
16. ! [X0] : ((creative(X0) | calm(X0)) => (strong(X0) |... | 0 |
If someone is either old or not curious then someone is not brave. If someone is either not generous or not funny then someone is either not patient or patient and vice versa. Everyone who is not funny is not tall and vice versa. Everyone who is either curious or not creative is either not strong or calm. If fred is ei... | Fred is not wise. | entailment | ((?[X]:((old(X)<~>~curious(X))))=>(?[X]:(~brave(X))))&
((?[X]:((~generous(X)<~>~funny(X))))<=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:(~funny(X)<=>~tall(X)))&
(![X]:((curious(X)<~>~creative(X))=>(~strong(X)<~>calm(X))))&
(((happy(fred)<~>old(fred)))<=>((~curious(alice)|strong(alice))))&
(![X]:(creative(X)=>~tall(X)... | ~wise(fred) | [
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 339507999430880432525873
% SZS output start Proof for 339507999430880432525873
7. ? [X0] : (~rich(X0) | wise(X0)) <=> ? [X0] : (~funny(X0) <~> ~humble(X0)) [input p6]
11. ! [X0] : ((kind(X0) & quiet(X0)) <=> (~curious(X0) | curious(X0))) [input p10]
14. ! [X0] : ((wise(X0) <~> humble(X0))... | 0 |
If john is either funny or kind then mary is not kind or kind. Everyone who is both not happy and quiet is either quiet or creative. Everyone who is happy or creative is patient and vice versa. If someone is not brave then mary is happy. If someone is both not quiet and not humble then alice is not generous. If fred is... | Mary is not patient. | entailment | (((funny(john)<~>kind(john)))=>((~kind(mary)|kind(mary))))&
(![X]:((~happy(X)&quiet(X))=>(quiet(X)<~>creative(X))))&
(![X]:((happy(X)|creative(X))<=>patient(X)))&
((?[X]:(~brave(X)))=>(happy(mary)))&
((?[X]:((~quiet(X)&~humble(X))))=>(~generous(alice)))&
((~happy(fred))<=>(?[X]:((~curious(X)<~>~humble(X)))))&
(![X]:((w... | ~patient(mary) | [
"p1",
"p2",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5448293099170169401565705
% SZS output start Proof for 5448293099170169401565705
2. ! [X0] : ((quiet(X0) & ~happy(X0)) => (quiet(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((creative(X0) | happy(X0)) <=> patient(X0)) [input p2]
9. ? [X0] : (~kind(X0) | ~tall(X0)) <=> ~happy(mary) [inpu... | 0 |
If someone is either calm or not kind then someone is both happy and not quiet.
If someone is either not old or not tall then susan is not humble or not strong and vice versa.
Everyone who is either not wise or not kind is calm.
Everyone who is both happy and old is not quiet or humble and vice versa.
Everyone who is w... | Paul is not wise. | neutral | ((?[X]:((calm(X)<~>~kind(X))))=>(?[X]:((happy(X)&~quiet(X)))))&
((?[X]:((~old(X)<~>~tall(X))))<=>((~humble(susan)|~strong(susan))))&
(![X]:((~wise(X)<~>~kind(X))=>calm(X)))&
(![X]:((happy(X)&old(X))<=>(~quiet(X)|humble(X))))&
(![X]:((wise(X)|happy(X))<=>(~humble(X)<~>~old(X))))&
(((~tall(mary)<~>~rich(mary)))<=>(?[X]:(... | ~wise(paul) | [] | null | 0 |
Everyone who is generous is happy or not wise and vice versa.
Everyone who is not old is both not quiet and creative and vice versa.
If someone is either kind or not happy then lucy is both not rich and old and vice versa.
Everyone who is rich or not kind is both not happy and not creative and vice versa.
If someone is... | Mary is not brave. | entailment | (![X]:(generous(X)<=>(happy(X)|~wise(X))))&
(![X]:(~old(X)<=>(~quiet(X)&creative(X))))&
((?[X]:((kind(X)<~>~happy(X))))<=>((~rich(lucy)&old(lucy))))&
(![X]:((rich(X)|~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:((curious(X)|generous(X))))=>((patient(susan)<~>old(susan))))&
(![X]:((humble(X)|~old(X))=>(~humble(X)|happ... | ~brave(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 615038726654959368736570
% SZS output start Proof for 615038726654959368736570
11. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~wise(X0) & ~brave(X0))) [input p10]
20. brave(mary) [input hypothesis]
52. ! [X0] : ((((patient(X0) | ~patient(X0)) & (~patient(X0) | patient(X0))) | (wise(X0)... | 0 |
If someone is either curious or not humble then someone is not wise and vice versa.
If someone is not tall or not calm then susan is not happy.
If alice is both wise and not quiet then someone is wise and vice versa.
If someone is funny then lucy is either not happy or not tall and vice versa.
If someone is old then fr... | Lucy is not wise. | contradiction | ((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(~happy(susan)))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))<=>((~happy(lucy)<~>~tall(lucy))))&
((?[X]:(old(X)))=>((rich(fred)&~strong(fred))))&
(![X]:((~kind(X)|~generous(X))=>(old(X)&~generous(X))))&
(... | ~wise(lucy) | [
"p4",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1932396275291752584612305
% SZS output start Proof for 1932396275291752584612305
5. ? [X0] : old(X0) => (~strong(fred) & rich(fred)) [input p4]
10. ! [X0] : (rich(X0) <=> (old(X0) | ~old(X0))) [input p9]
11. ! [X0] : (rich(X0) <=> (kind(X0) & strong(X0))) [input p10]
13. ! [X0] : ((~old(X... | 0 |
If mary is both kind and not quiet then someone is not brave or tall and vice versa.
Everyone who is both quiet and not calm is both creative and rich.
If fred is not funny or happy then someone is either not brave or not curious and vice versa.
If mary is old then someone is calm or not generous.
Everyone who is eithe... | Mary is not humble. | contradiction | (((kind(mary)&~quiet(mary)))<=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:((quiet(X)&~calm(X))=>(creative(X)&rich(X))))&
(((~funny(fred)|happy(fred)))<=>(?[X]:((~brave(X)<~>~curious(X)))))&
((old(mary))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((~wise(X)<~>calm(X))=>(~tall(X)<~>~humble(X))))&
(![X]:((~wise(X)|curious(X))=>(~... | ~humble(mary) | [
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4646957713052994058255133
% SZS output start Proof for 4646957713052994058255133
7. ! [X0] : ((~curious(X0) | ~old(X0)) <=> (wise(X0) | humble(X0))) [input p6]
9. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (~humble(X0) | ~tall(X0))) [input p8]
10. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~cu... | 0 |
Everyone who is not generous or not patient is both brave and strong.
If someone is either not calm or patient then fred is both quiet and not generous and vice versa.
If someone is brave or not humble then lucy is creative.
If someone is both patient and not happy then someone is both not old and not generous.
Everyon... | Alice is quiet. | entailment | (![X]:((~generous(X)|~patient(X))=>(brave(X)&strong(X))))&
((?[X]:((~calm(X)<~>patient(X))))<=>((quiet(fred)&~generous(fred))))&
((?[X]:((brave(X)|~humble(X))))=>(creative(lucy)))&
((?[X]:((patient(X)&~happy(X))))=>(?[X]:((~old(X)&~generous(X)))))&
(![X]:((tall(X)<~>calm(X))=>(~funny(X)|calm(X))))&
(![X]:((~wise(X)|~ha... | quiet(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3022709861570958228484553
% SZS output start Proof for 3022709861570958228484553
20. humble(alice) & quiet(alice) [input p19]
23. ~quiet(alice) [input hypothesis]
129. quiet(alice) [cnf transformation 20]
134. ~quiet(alice) [cnf transformation 23]
295. $false [subsumption resolution 134,1... | 0 |
Everyone who is either not generous or strong is both not generous and not rich and vice versa. If lucy is either curious or not calm then mary is not tall or creative and vice versa. Everyone who is not creative is either not happy or happy and vice versa. If fred is not generous then alice is not curious or not stron... | Alice is brave. | neutral | (![X]:((~generous(X)<~>strong(X))<=>(~generous(X)&~rich(X))))&
(((curious(lucy)<~>~calm(lucy)))<=>((~tall(mary)|creative(mary))))&
(![X]:(~creative(X)<=>(~happy(X)<~>happy(X))))&
((~generous(fred))<=>((~curious(alice)|~strong(alice))))&
(![X]:(humble(X)<=>quiet(X)))&
((?[X]:((~old(X)|~generous(X))))=>(?[X]:(~rich(X))))... | brave(alice) | [] | null | 0 |
Everyone who is generous or not happy is not humble.
Everyone who is old is not patient and vice versa.
Everyone who is both not rich and not curious is not happy or curious and vice versa.
If someone is not old then someone is not humble or tall and vice versa.
Everyone who is either strong or tall is not rich and vic... | Fred is not strong. | contradiction | (![X]:((generous(X)|~happy(X))=>~humble(X)))&
(![X]:(old(X)<=>~patient(X)))&
(![X]:((~rich(X)&~curious(X))<=>(~happy(X)|curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~humble(X)|tall(X)))))&
(![X]:((strong(X)<~>tall(X))<=>~rich(X)))&
((~quiet(lucy))<=>(?[X]:(funny(X))))&
(![X]:((calm(X)|~strong(X))<=>(~quiet(X)|~wise(X))))... | ~strong(fred) | [
"p2",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 904253637621022340532423
% SZS output start Proof for 904253637621022340532423
3. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> (curious(X0) | ~happy(X0))) [input p2]
16. ! [X0] : ((~old(X0) & ~curious(X0)) => (strong(X0) & ~calm(X0))) [input p15]
18. ~curious(fred) & ~old(fred) [input p17]
23... | 0 |
Everyone who is brave is both brave and not rich. Everyone who is both not tall and quiet is tall and vice versa. Everyone who is happy is not quiet and vice versa. Everyone who is not patient or happy is both not rich and creative and vice versa. If susan is not curious or not brave then john is both not brave and old... | Susan is not happy. | contradiction | (![X]:(brave(X)=>(brave(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))<=>tall(X)))&
(![X]:(happy(X)<=>~quiet(X)))&
(![X]:((~patient(X)|happy(X))<=>(~rich(X)&creative(X))))&
(((~curious(susan)|~brave(susan)))=>((~brave(john)&old(john))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:(~old(X))))&
((?[X]:((generous(X)&~humble(... | ~happy(susan) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5295541121330624121933606
% SZS output start Proof for 5295541121330624121933606
2. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> tall(X0)) [input p1]
3. ! [X0] : (happy(X0) <=> ~quiet(X0)) [input p2]
22. ~happy(susan) [input hypothesis]
29. ! [X0] : (((quiet(X0) & ~tall(X0)) | ~tall(X0)) & (tall... | 0 |
If someone is both not generous and not curious then susan is humble and vice versa. Everyone who is not wise is both not rich and not brave and vice versa. Everyone who is not creative is not kind or brave and vice versa. If someone is both creative and curious then someone is rich or not strong. If paul is funny then... | Mary is not creative. | entailment | ((?[X]:((~generous(X)&~curious(X))))<=>(humble(susan)))&
(![X]:(~wise(X)<=>(~rich(X)&~brave(X))))&
(![X]:(~creative(X)<=>(~kind(X)|brave(X))))&
((?[X]:((creative(X)&curious(X))))=>(?[X]:((rich(X)|~strong(X)))))&
((funny(paul))=>((patient(fred)<~>~wise(fred))))&
(![X]:((~brave(X)&creative(X))<=>(~humble(X)<~>creative(X)... | ~creative(mary) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5444500698626807671878246
% SZS output start Proof for 5444500698626807671878246
3. ! [X0] : (~creative(X0) <=> (brave(X0) | ~kind(X0))) [input p2]
9. ! [X0] : (kind(X0) <=> (generous(X0) | ~brave(X0))) [input p8]
13. ! [X0] : (~brave(X0) => ~kind(X0)) [input p12]
25. creative(mary) [inpu... | 0 |
If someone is either old or strong then someone is calm or not brave and vice versa.
Everyone who is not funny is tall and vice versa.
If lucy is patient then someone is both not kind and not strong and vice versa.
Everyone who is not creative is either not calm or not tall and vice versa.
If fred is not patient or bra... | John is not humble. | contradiction | ((?[X]:((old(X)<~>strong(X))))<=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:(~funny(X)<=>tall(X)))&
((patient(lucy))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~creative(X)<=>(~calm(X)<~>~tall(X))))&
(((~patient(fred)|brave(fred)))<=>((~brave(susan)|curious(susan))))&
((?[X]:((calm(X)<~>generous(X))))=>(?[X]:(generous(X))))&
... | ~humble(john) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1072428296117529222119376
% SZS output start Proof for 1072428296117529222119376
13. ? [X0] : ~wise(X0) <=> ? [X0] : (~humble(X0) & humble(X0)) [input p12]
14. wise(susan) => humble(john) [input p13]
24. ~humble(john) [input hypothesis]
27. ? [X0] : ~wise(X0) <=> ? [X1] : (~humble(X1) & h... | 0 |
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