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 either not funny or calm is both funny and not rich.
Everyone who is both brave and not quiet is both generous and not calm and vice versa.
If susan is not tall then someone is either not happy or not old and vice versa.
Everyone who is not calm or not old is not happy.
If someone is humble or old then ... | John is not happy. | entailment | (![X]:((~funny(X)<~>calm(X))=>(funny(X)&~rich(X))))&
(![X]:((brave(X)&~quiet(X))<=>(generous(X)&~calm(X))))&
((~tall(susan))<=>(?[X]:((~happy(X)<~>~old(X)))))&
(![X]:((~calm(X)|~old(X))=>~happy(X)))&
((?[X]:((humble(X)|old(X))))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((old(X)<~>~funny(X))=>(quiet(X)<~>calm(X))))&
(![X]... | ~happy(john) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2237850521733523509816152
% SZS output start Proof for 2237850521733523509816152
4. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p3]
5. ? [X0] : (old(X0) | humble(X0)) <=> ? [X0] : (~calm(X0) & happy(X0)) [input p4]
24. happy(john) [input hypothesis]
25. ? [X0] : (old(X0) | humb... | 0 |
Everyone who is not rich or not creative is either quiet or rich and vice versa.
If alice is both not old and brave then someone is wise or not old and vice versa.
Everyone who is either not curious or curious is not strong and vice versa.
If mary is not tall or not creative then paul is wise or not funny and vice vers... | Mary is funny. | neutral | (![X]:((~rich(X)|~creative(X))<=>(quiet(X)<~>rich(X))))&
(((~old(alice)&brave(alice)))<=>(?[X]:((wise(X)|~old(X)))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~pa... | funny(mary) | [] | null | 0 |
Everyone who is both not creative and curious is not creative. Everyone who is calm is either strong or happy and vice versa. Everyone who is both wise and not happy is both tall and not brave and vice versa. If lucy is not calm or not quiet then someone is not curious. Everyone who is either not old or strong is tall ... | Fred is not quiet. | contradiction | (![X]:((~creative(X)&curious(X))=>~creative(X)))&
(![X]:(calm(X)<=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)&~happy(X))<=>(tall(X)&~brave(X))))&
(((~calm(lucy)|~quiet(lucy)))=>(?[X]:(~curious(X))))&
(![X]:((~old(X)<~>strong(X))<=>tall(X)))&
((?[X]:((~calm(X)<~>curious(X))))<=>(?[X]:((~humble(X)<~>brave(X)))))&
(((~crea... | ~quiet(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2414312644929005105338124
% SZS output start Proof for 2414312644929005105338124
24. quiet(fred) & ~humble(fred) [input p23]
25. ~quiet(fred) [input hypothesis]
142. quiet(fred) [cnf transformation 24]
143. ~quiet(fred) [cnf transformation 25]
312. $false [subsumption resolution 143,142]
... | 0 |
If someone is either not funny or old then someone is not funny and vice versa.
If someone is humble or old then someone is either curious or not happy and vice versa.
If fred is both creative and not happy then susan is kind and vice versa.
If susan is either not funny or not strong then fred is not old or curious and... | Mary is not wise. | neutral | ((?[X]:((~funny(X)<~>old(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((humble(X)|old(X))))<=>(?[X]:((curious(X)<~>~happy(X)))))&
(((creative(fred)&~happy(fred)))<=>(kind(susan)))&
(((~funny(susan)<~>~strong(susan)))<=>((~old(fred)|curious(fred))))&
(![X]:((strong(X)|~old(X))=>(~kind(X)|~curious(X))))&
(((~humble(lucy)<~>wise(l... | ~wise(mary) | [] | null | 0 |
Everyone who is not humble is both tall and rich.
If someone is either patient or funny then fred is both not old and not quiet.
Everyone who is either old or curious is either strong or not funny.
Everyone who is not rich or old is not strong.
Everyone who is either not creative or funny is either generous or funny an... | Mary is not creative. | entailment | (![X]:(~humble(X)=>(tall(X)&rich(X))))&
((?[X]:((patient(X)<~>funny(X))))=>((~old(fred)&~quiet(fred))))&
(![X]:((old(X)<~>curious(X))=>(strong(X)<~>~funny(X))))&
(![X]:((~rich(X)|old(X))=>~strong(X)))&
(![X]:((~creative(X)<~>funny(X))<=>(generous(X)<~>funny(X))))&
(![X]:(~patient(X)<=>~creative(X)))&
((?[X]:((~funny(X)... | ~creative(mary) | [
"p0",
"p5",
"p11",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 594133500032727123823948
% SZS output start Proof for 594133500032727123823948
1. ! [X0] : (~humble(X0) => (rich(X0) & tall(X0))) [input p0]
6. ! [X0] : (~patient(X0) <=> ~creative(X0)) [input p5]
12. ! [X0] : ((funny(X0) | ~curious(X0)) => (~patient(X0) <~> ~humble(X0))) [input p11]
13. ... | 0 |
Everyone who is either wise or curious is both generous and not brave.
If john is either not old or curious then someone is rich.
If mary is either old or creative then someone is tall.
Everyone who is not happy is not patient.
If susan is both not quiet and brave then mary is curious or kind and vice versa.
If susan i... | John is old. | neutral | (![X]:((wise(X)<~>curious(X))=>(generous(X)&~brave(X))))&
(((~old(john)<~>curious(john)))=>(?[X]:(rich(X))))&
(((old(mary)<~>creative(mary)))=>(?[X]:(tall(X))))&
(![X]:(~happy(X)=>~patient(X)))&
(((~quiet(susan)&brave(susan)))<=>((curious(mary)|kind(mary))))&
(((~rich(susan)<~>rich(susan)))=>(?[X]:((~kind(X)<~>~happy(X... | old(john) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is wise is both funny and not humble. Everyone who is tall or brave is not kind. If someone is either generous or kind then alice is either strong or not strong. Everyone who is calm is funny. Everyone who is funny or not wise is eith... | Susan is not tall. | neutral | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(wise(X)=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X... | ~tall(susan) | [] | null | 0 |
Everyone who is generous or happy is both rich and curious.
Everyone who is either funny or not kind is strong.
If someone is wise then lucy is calm or not wise and vice versa.
If alice is kind or quiet then susan is happy.
Everyone who is not wise is both generous and funny and vice versa.
Everyone who is not generous... | Alice is not funny. | contradiction | (![X]:((generous(X)|happy(X))=>(rich(X)&curious(X))))&
(![X]:((funny(X)<~>~kind(X))=>strong(X)))&
((?[X]:(wise(X)))<=>((calm(lucy)|~wise(lucy))))&
(((kind(alice)|quiet(alice)))=>(happy(susan)))&
(![X]:(~wise(X)<=>(generous(X)&funny(X))))&
(![X]:(~generous(X)=>(~happy(X)&~patient(X))))&
((?[X]:((humble(X)&quiet(X))))=>(... | ~funny(alice) | [
"p0",
"p1",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2741778172220700769678603
% SZS output start Proof for 2741778172220700769678603
1. ! [X0] : ((happy(X0) | generous(X0)) => (curious(X0) & rich(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) => strong(X0)) [input p1]
8. (~generous(susan) | curious(susan)) <=> (calm(alice) & ~kind... | 0 |
If fred is either strong or not kind then someone is both funny and not happy.
If paul is not old then susan is not patient or rich and vice versa.
Everyone who is not happy is not happy or humble and vice versa.
If mary is both kind and funny then someone is funny or not creative and vice versa.
Everyone who is humble... | Susan is rich. | neutral | (((strong(fred)<~>~kind(fred)))=>(?[X]:((funny(X)&~happy(X)))))&
((~old(paul))<=>((~patient(susan)|rich(susan))))&
(![X]:(~happy(X)<=>(~happy(X)|humble(X))))&
(((kind(mary)&funny(mary)))<=>(?[X]:((funny(X)|~creative(X)))))&
(![X]:((humble(X)|~rich(X))<=>~creative(X)))&
(![X]:((~rich(X)<~>strong(X))=>(~brave(X)<~>~tall(... | rich(susan) | [] | null | 0 |
If alice is not humble or kind then someone is either creative or old and vice versa. Everyone who is not happy or not tall is old or not wise and vice versa. Everyone who is patient is not rich or not humble. Everyone who is strong or not old is either humble or funny. Everyone who is not happy is both quiet and not g... | Alice is not strong. | contradiction | (((~humble(alice)|kind(alice)))<=>(?[X]:((creative(X)<~>old(X)))))&
(![X]:((~happy(X)|~tall(X))<=>(old(X)|~wise(X))))&
(![X]:(patient(X)=>(~rich(X)|~humble(X))))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>funny(X))))&
(![X]:(~happy(X)=>(quiet(X)&~generous(X))))&
((?[X]:((funny(X)&wise(X))))<=>((~funny(john)&~rich(john))... | ~strong(alice) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3426196097425556872189581
% SZS output start Proof for 3426196097425556872189581
7. ! [X0] : ((creative(X0) | ~kind(X0)) <=> curious(X0)) [input p6]
14. (~curious(paul) & brave(paul)) <=> ~strong(alice) [input p13]
20. creative(paul) & ~kind(paul) [input p19]
25. ~strong(alice) [input hyp... | 0 |
Everyone who is kind is both not strong and not creative and vice versa.
Everyone who is tall is both not rich and not kind and vice versa.
Everyone who is both strong and old is strong or patient.
If someone is both not funny and not tall then someone is both not calm and quiet.
If susan is both generous and patient t... | Mary is wise. | contradiction | (![X]:(kind(X)<=>(~strong(X)&~creative(X))))&
(![X]:(tall(X)<=>(~rich(X)&~kind(X))))&
(![X]:((strong(X)&old(X))=>(strong(X)|patient(X))))&
((?[X]:((~funny(X)&~tall(X))))=>(?[X]:((~calm(X)&quiet(X)))))&
(((generous(susan)&patient(susan)))<=>((quiet(lucy)|funny(lucy))))&
(![X]:((~wise(X)<~>~funny(X))<=>(funny(X)<~>~tall(... | wise(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 33198243015715396667164
% SZS output start Proof for 33198243015715396667164
19. old(mary) & ~wise(mary) [input p18]
23. wise(mary) [input hypothesis]
129. ~wise(mary) [cnf transformation 19]
135. wise(mary) [cnf transformation 23]
290. $false [subsumption resolution 135,129]
% SZS output... | 0 |
If someone is not tall or not brave then lucy is rich or kind and vice versa. If mary is both not humble and not tall then mary is not calm or not wise and vice versa. Everyone who is either kind or not wise is curious or not old and vice versa. If someone is not strong then someone is quiet. Everyone who is both not c... | Mary is kind. | entailment | ((?[X]:((~tall(X)|~brave(X))))<=>((rich(lucy)|kind(lucy))))&
(((~humble(mary)&~tall(mary)))<=>((~calm(mary)|~wise(mary))))&
(![X]:((kind(X)<~>~wise(X))<=>(curious(X)|~old(X))))&
((?[X]:(~strong(X)))=>(?[X]:(quiet(X))))&
(![X]:((~curious(X)&quiet(X))<=>~old(X)))&
(![X]:((curious(X)&calm(X))<=>(~calm(X)<~>~old(X))))&
(![... | kind(mary) | [
"p2",
"p4",
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 698467719801351202165379
% SZS output start Proof for 698467719801351202165379
3. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> (~old(X0) | curious(X0))) [input p2]
5. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> ~old(X0)) [input p4]
6. ! [X0] : ((calm(X0) & curious(X0)) <=> (~calm(X0) <~> ~old(X0))... | 0 |
If john is both not funny and generous then fred is either tall or humble. If fred is not generous then someone is not calm or not old. If someone is not rich or old then paul is calm and vice versa. If someone is either kind or not old then someone is both not funny and not humble. If someone is rich then lucy is not ... | Lucy is not rich. | contradiction | (((~funny(john)&generous(john)))=>((tall(fred)<~>humble(fred))))&
((~generous(fred))=>(?[X]:((~calm(X)|~old(X)))))&
((?[X]:((~rich(X)|old(X))))<=>(calm(paul)))&
((?[X]:((kind(X)<~>~old(X))))=>(?[X]:((~funny(X)&~humble(X)))))&
((?[X]:(rich(X)))=>(~old(lucy)))&
(![X]:(humble(X)=>strong(X)))&
((?[X]:((~happy(X)&~patient(X... | ~rich(lucy) | [
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3848058584895433705131499
% SZS output start Proof for 3848058584895433705131499
10. ! [X0] : ((~rich(X0) | tall(X0)) => (~quiet(X0) | rich(X0))) [input p9]
12. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p11]
15. ? [X0] : ~generous(X0) => (quiet(lucy) & curi... | 0 |
Everyone who is funny is strong.
If mary is not generous then someone is not curious and vice versa.
Everyone who is either not wise or strong is either brave or humble.
If paul is wise then someone is not creative or strong and vice versa.
If susan is both happy and creative then someone is not patient or brave.
Every... | Paul is happy. | neutral | (![X]:(funny(X)=>strong(X)))&
((~generous(mary))<=>(?[X]:(~curious(X))))&
(![X]:((~wise(X)<~>strong(X))=>(brave(X)<~>humble(X))))&
((wise(paul))<=>(?[X]:((~creative(X)|strong(X)))))&
(((happy(susan)&creative(susan)))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:(kind(X)<=>(~brave(X)&~funny(X))))&
(![X]:((~humble(X)|~rich(X... | happy(paul) | [] | null | 0 |
Everyone who is both calm and not humble is either rich or not kind and vice versa.
Everyone who is generous is not calm or wise and vice versa.
If paul is patient then someone is both not kind and not quiet.
Everyone who is brave is both rich and creative.
If mary is either not happy or not generous then someone is no... | Alice is not wise. | entailment | (![X]:((calm(X)&~humble(X))<=>(rich(X)<~>~kind(X))))&
(![X]:(generous(X)<=>(~calm(X)|wise(X))))&
((patient(paul))=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:(brave(X)=>(rich(X)&creative(X))))&
(((~happy(mary)<~>~generous(mary)))=>(?[X]:(~patient(X))))&
(![X]:(~funny(X)=>strong(X)))&
(![X]:((~humble(X)&~strong(X))<=>~calm(X... | ~wise(alice) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2654835930864047351776432
% SZS output start Proof for 2654835930864047351776432
2. ! [X0] : (generous(X0) <=> (wise(X0) | ~calm(X0))) [input p1]
20. ~generous(alice) & ~rich(alice) [input p19]
25. wise(alice) [input hypothesis]
42. ! [X0] : ((generous(X0) | (~wise(X0) & calm(X0))) & ((wi... | 0 |
Everyone who is either calm or not calm is tall and vice versa.
Everyone who is not quiet or not tall is either happy or brave.
If john is both tall and not curious then mary is not strong.
Everyone who is not strong or creative is not happy or not funny and vice versa.
Everyone who is either funny or brave is both not... | Lucy is not brave. | contradiction | (![X]:((calm(X)<~>~calm(X))<=>tall(X)))&
(![X]:((~quiet(X)|~tall(X))=>(happy(X)<~>brave(X))))&
(((tall(john)&~curious(john)))=>(~strong(mary)))&
(![X]:((~strong(X)|creative(X))<=>(~happy(X)|~funny(X))))&
(![X]:((funny(X)<~>brave(X))<=>(~creative(X)&~strong(X))))&
(((~humble(fred)<~>~rich(fred)))<=>(?[X]:((~old(X)<~>hap... | ~brave(lucy) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3128481196715741734303370
% SZS output start Proof for 3128481196715741734303370
1. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> tall(X0)) [input p0]
16. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~tall(X0) | strong(X0))) [input p15]
24. ~brave(lucy) [input hypothesis]
32. ! [X0] : ((((calm(X0)... | 0 |
If someone is generous or curious then paul is either not wise or not humble and vice versa. Everyone who is generous or not humble is wise or kind and vice versa. Everyone who is not generous or not rich is both wise and funny. Everyone who is both not old and curious is either not happy or old. Everyone who is either... | John is not funny. | neutral | ((?[X]:((generous(X)|curious(X))))<=>((~wise(paul)<~>~humble(paul))))&
(![X]:((generous(X)|~humble(X))<=>(wise(X)|kind(X))))&
(![X]:((~generous(X)|~rich(X))=>(wise(X)&funny(X))))&
(![X]:((~old(X)&curious(X))=>(~happy(X)<~>old(X))))&
(![X]:((strong(X)<~>~humble(X))=>(generous(X)|~rich(X))))&
(![X]:(~patient(X)=>~curious... | ~funny(john) | [] | null | 0 |
If alice is both not brave and not kind then john is not rich or not generous. If someone is either not calm or not tall then someone is not quiet or not patient and vice versa. Everyone who is both not humble and not quiet is either not old or strong. If alice is not rich then someone is either not generous or strong.... | Mary is not patient. | entailment | (((~brave(alice)&~kind(alice)))=>((~rich(john)|~generous(john))))&
((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:((~quiet(X)|~patient(X)))))&
(![X]:((~humble(X)&~quiet(X))=>(~old(X)<~>strong(X))))&
((~rich(alice))=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:((patient(X)|rich(X))<=>(~strong(X)|~calm(X))))&
((~tall(susan))<=>... | ~patient(mary) | [
"p4",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5868212255058117639122268
% SZS output start Proof for 5868212255058117639122268
5. ! [X0] : ((rich(X0) | patient(X0)) <=> (~calm(X0) | ~strong(X0))) [input p4]
8. ! [X0] : ((strong(X0) & humble(X0)) <=> patient(X0)) [input p7]
12. ! [X0] : ((humble(X0) | ~funny(X0)) <=> (wise(X0) & calm(... | 0 |
If alice is either tall or not rich then john is curious or not brave.
If someone is both not creative and strong then someone is either not old or not curious.
Everyone who is both funny and not old is both funny and not strong.
Everyone who is either not generous or not creative is not happy.
Everyone who is either b... | John is not calm. | contradiction | (((tall(alice)<~>~rich(alice)))=>((curious(john)|~brave(john))))&
((?[X]:((~creative(X)&strong(X))))=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((funny(X)&~old(X))=>(funny(X)&~strong(X))))&
(![X]:((~generous(X)<~>~creative(X))=>~happy(X)))&
(![X]:((brave(X)<~>happy(X))<=>(~curious(X)&brave(X))))&
(![X]:((generous(X)&~wi... | ~calm(john) | [
"p3",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6882620545732531188985343
% SZS output start Proof for 6882620545732531188985343
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => ~happy(X0)) [input p3]
6. ! [X0] : ((~wise(X0) & generous(X0)) <=> ~calm(X0)) [input p5]
7. ? [X0] : ~happy(X0) <=> (~calm(john) & curious(john)) [input p6]
8... | 0 |
Everyone who is quiet or calm is both humble and rich and vice versa.
If paul is not generous then alice is calm or not quiet.
Everyone who is funny or curious is not creative or calm.
If someone is curious or patient then fred is either not happy or not generous and vice versa.
Everyone who is happy is not tall or hap... | John is tall. | neutral | (![X]:((quiet(X)|calm(X))<=>(humble(X)&rich(X))))&
((~generous(paul))=>((calm(alice)|~quiet(alice))))&
(![X]:((funny(X)|curious(X))=>(~creative(X)|calm(X))))&
((?[X]:((curious(X)|patient(X))))<=>((~happy(fred)<~>~generous(fred))))&
(![X]:(happy(X)<=>(~tall(X)|happy(X))))&
((?[X]:((strong(X)<~>generous(X))))<=>(~calm(fr... | tall(john) | [] | null | 0 |
If someone is rich then john is both happy and strong.
If someone is not kind then someone is tall and vice versa.
If someone is strong or humble then someone is quiet and vice versa.
Everyone who is both not quiet and not generous is old or generous.
Everyone who is tall or calm is both not patient and not kind and vi... | Lucy is not tall. | entailment | ((?[X]:(rich(X)))=>((happy(john)&strong(john))))&
((?[X]:(~kind(X)))<=>(?[X]:(tall(X))))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~quiet(X)&~generous(X))=>(old(X)|generous(X))))&
(![X]:((tall(X)|calm(X))<=>(~patient(X)&~kind(X))))&
(((~quiet(john)&~rich(john)))=>((~curious(susan)|~strong(susan))))... | ~tall(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 116908094379858256755606
% SZS output start Proof for 116908094379858256755606
16. ? [X0] : (tall(X0) | ~old(X0)) <=> (funny(fred) & ~funny(fred)) [input p15]
25. tall(lucy) [input hypothesis]
68. (? [X0] : (tall(X0) | ~old(X0)) | (~funny(fred) | funny(fred))) & ((funny(fred) & ~funny(fre... | 0 |
If someone is not humble or not kind then fred is both generous and strong and vice versa.
Everyone who is not generous or not humble is not tall.
Everyone who is either kind or strong is both old and not calm.
Everyone who is old is either tall or wise and vice versa.
If alice is either not tall or not kind then someo... | Susan is generous. | neutral | ((?[X]:((~humble(X)|~kind(X))))<=>((generous(fred)&strong(fred))))&
(![X]:((~generous(X)|~humble(X))=>~tall(X)))&
(![X]:((kind(X)<~>strong(X))=>(old(X)&~calm(X))))&
(![X]:(old(X)<=>(tall(X)<~>wise(X))))&
(((~tall(alice)<~>~kind(alice)))<=>(?[X]:((~brave(X)|~calm(X)))))&
(((humble(alice)<~>generous(alice)))<=>((wise(fre... | generous(susan) | [] | null | 0 |
If someone is both funny and not humble then someone is happy or curious.
Everyone who is not happy is not rich.
If mary is either not kind or not old then alice is not brave and vice versa.
Everyone who is not funny is not old.
Everyone who is both not patient and humble is both not tall and not creative.
If john is b... | John is happy. | neutral | ((?[X]:((funny(X)&~humble(X))))=>(?[X]:((happy(X)|curious(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
(((~kind(mary)<~>~old(mary)))<=>(~brave(alice)))&
(![X]:(~funny(X)=>~old(X)))&
(![X]:((~patient(X)&humble(X))=>(~tall(X)&~creative(X))))&
(((~tall(john)&patient(john)))<=>((~creative(john)&quiet(john))))&
(((patient(john)&~w... | happy(john) | [] | null | 0 |
Everyone who is calm or not old is either brave or old and vice versa.
If someone is not creative then fred is both not rich and not curious.
If fred is both quiet and not humble then someone is either not generous or patient and vice versa.
If susan is both not happy and old then alice is patient and vice versa.
Every... | Paul is generous. | contradiction | (![X]:((calm(X)|~old(X))<=>(brave(X)<~>old(X))))&
((?[X]:(~creative(X)))=>((~rich(fred)&~curious(fred))))&
(((quiet(fred)&~humble(fred)))<=>(?[X]:((~generous(X)<~>patient(X)))))&
(((~happy(susan)&old(susan)))<=>(patient(alice)))&
(![X]:((~rich(X)|humble(X))=>(~humble(X)<~>~quiet(X))))&
(![X]:((generous(X)&~strong(X))<=... | generous(paul) | [
"p0",
"p5",
"p6",
"p8",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5509131478285618301721634
% SZS output start Proof for 5509131478285618301721634
1. ! [X0] : ((~old(X0) | calm(X0)) <=> (brave(X0) <~> old(X0))) [input p0]
6. ! [X0] : ((~strong(X0) & generous(X0)) <=> ~old(X0)) [input p5]
7. ! [X0] : (~old(X0) <=> (strong(X0) | rich(X0))) [input p6]
9. !... | 0 |
If paul is wise then someone is not generous or not humble.
Everyone who is both not wise and happy is either not kind or not curious and vice versa.
If lucy is both patient and not old then someone is either kind or not quiet and vice versa.
If someone is both strong and not generous then someone is not rich and vice ... | Mary is not patient. | contradiction | ((wise(paul))=>(?[X]:((~generous(X)|~humble(X)))))&
(![X]:((~wise(X)&happy(X))<=>(~kind(X)<~>~curious(X))))&
(((patient(lucy)&~old(lucy)))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
((?[X]:((strong(X)&~generous(X))))<=>(?[X]:(~rich(X))))&
(![X]:((calm(X)|creative(X))<=>(~curious(X)&~happy(X))))&
((?[X]:((brave(X)|creative(X)))... | ~patient(mary) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2973284498484324591551539
% SZS output start Proof for 2973284498484324591551539
2. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p1]
5. ! [X0] : ((creative(X0) | calm(X0)) <=> (~happy(X0) & ~curious(X0))) [input p4]
6. ? [X0] : (creative(X0) | brave(X0)) <=> ... | 0 |
Everyone who is both not patient and not tall is not funny or old and vice versa. If someone is brave or strong then paul is either not calm or not quiet and vice versa. Everyone who is either old or humble is both brave and not patient. Everyone who is humble is not calm or wise. Everyone who is brave is either not qu... | Susan is quiet. | entailment | (![X]:((~patient(X)&~tall(X))<=>(~funny(X)|old(X))))&
((?[X]:((brave(X)|strong(X))))<=>((~calm(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)&~patient(X))))&
(![X]:(humble(X)=>(~calm(X)|wise(X))))&
(![X]:(brave(X)<=>(~quiet(X)<~>~creative(X))))&
(((~creative(john)<~>curious(john)))=>(?[X]:((~quiet(X)&~... | quiet(susan) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3311828147198704137970197
% SZS output start Proof for 3311828147198704137970197
4. ! [X0] : (humble(X0) => (wise(X0) | ~calm(X0))) [input p3]
5. ! [X0] : (brave(X0) <=> (~quiet(X0) <~> ~creative(X0))) [input p4]
7. (~humble(fred) & ~funny(fred)) <=> ? [X0] : (~humble(X0) & ~curious(X0)) ... | 0 |
If someone is both generous and not generous then someone is either humble or not wise and vice versa. Everyone who is both not brave and brave is either not brave or calm and vice versa. Everyone who is tall or old is happy or tall. Everyone who is happy or not rich is not quiet or kind. If susan is not calm then john... | Fred is not patient. | entailment | ((?[X]:((generous(X)&~generous(X))))<=>(?[X]:((humble(X)<~>~wise(X)))))&
(![X]:((~brave(X)&brave(X))<=>(~brave(X)<~>calm(X))))&
(![X]:((tall(X)|old(X))=>(happy(X)|tall(X))))&
(![X]:((happy(X)|~rich(X))=>(~quiet(X)|kind(X))))&
((~calm(susan))<=>((creative(john)&~calm(john))))&
(![X]:(~tall(X)=>generous(X)))&
(![X]:((gen... | ~patient(fred) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6777281118962157509939099
% SZS output start Proof for 6777281118962157509939099
9. ! [X0] : (patient(X0) <=> (humble(X0) & creative(X0))) [input p8]
19. quiet(fred) & ~creative(fred) [input p18]
25. patient(fred) [input hypothesis]
52. ! [X0] : ((patient(X0) | (~humble(X0) | ~creative(X0... | 0 |
If susan is not wise or strong then someone is kind or not rich and vice versa. If someone is not curious or strong then fred is curious or not funny and vice versa. If someone is quiet or not calm then fred is both curious and not quiet and vice versa. If alice is either not calm or not quiet then fred is not quiet or... | Susan is not calm. | contradiction | (((~wise(susan)|strong(susan)))<=>(?[X]:((kind(X)|~rich(X)))))&
((?[X]:((~curious(X)|strong(X))))<=>((curious(fred)|~funny(fred))))&
((?[X]:((quiet(X)|~calm(X))))<=>((curious(fred)&~quiet(fred))))&
(((~calm(alice)<~>~quiet(alice)))=>((~quiet(fred)|happy(fred))))&
(![X]:((curious(X)&~strong(X))=>(~wise(X)&~happy(X))))&
... | ~calm(susan) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8421681623428335808927765
% SZS output start Proof for 8421681623428335808927765
3. ? [X0] : (~calm(X0) | quiet(X0)) <=> (~quiet(fred) & curious(fred)) [input p2]
8. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~quiet(X0) | patient(X0))) [input p7]
22. ~calm(susan) [input hypothesis]
48. (... | 0 |
Everyone who is not humble is calm.
If someone is brave then alice is not creative or patient and vice versa.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall... | Mary is not creative. | entailment | (![X]:(~humble(X)=>calm(X)))&
((?[X]:(brave(X)))<=>((~creative(alice)|patient(alice))))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X)... | ~creative(mary) | [
"p5",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7507331804039900931512086
% SZS output start Proof for 7507331804039900931512086
6. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p5]
9. (curious(mary) | ~creative(mary)) <=> (wise(paul) | tall(paul)) [input p8]
11. ! [X0] : ((~strong(X0) | ~old(X0)) => tall(X0)) ... | 0 |
Everyone who is not creative or not calm is either quiet or wise and vice versa.
Everyone who is either wise or not brave is both tall and not calm and vice versa.
Everyone who is not funny or not patient is kind or brave.
Everyone who is creative or strong is either not strong or brave and vice versa.
Everyone who is ... | Mary is old. | neutral | (![X]:((~creative(X)|~calm(X))<=>(quiet(X)<~>wise(X))))&
(![X]:((wise(X)<~>~brave(X))<=>(tall(X)&~calm(X))))&
(![X]:((~funny(X)|~patient(X))=>(kind(X)|brave(X))))&
(![X]:((creative(X)|strong(X))<=>(~strong(X)<~>brave(X))))&
(![X]:(~quiet(X)<=>(tall(X)<~>~happy(X))))&
(((funny(alice)<~>rich(alice)))<=>((old(alice)|brave... | old(mary) | [] | null | 0 |
If susan is either brave or kind then paul is either not old or not funny. If susan is brave or happy then someone is either not creative or strong and vice versa. If someone is both not wise and tall then someone is both not generous and not calm. Everyone who is either not curious or not wise is brave or tall. Everyo... | John is not funny. | entailment | (((brave(susan)<~>kind(susan)))=>((~old(paul)<~>~funny(paul))))&
(((brave(susan)|happy(susan)))<=>(?[X]:((~creative(X)<~>strong(X)))))&
((?[X]:((~wise(X)&tall(X))))=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~curious(X)<~>~wise(X))=>(brave(X)|tall(X))))&
(![X]:((~humble(X)|humble(X))<=>~funny(X)))&
((?[X]:((~patient(X... | ~funny(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1997977568737496371127247
% SZS output start Proof for 1997977568737496371127247
5. ! [X0] : ((humble(X0) | ~humble(X0)) <=> ~funny(X0)) [input p4]
25. funny(john) [input hypothesis]
53. ! [X0] : (((humble(X0) | ~humble(X0)) | funny(X0)) & (~funny(X0) | (~humble(X0) & humble(X0)))) [nnf t... | 0 |
Everyone who is happy or strong is either not calm or not brave and vice versa.
Everyone who is not tall or creative is both not happy and not calm.
Everyone who is either not creative or quiet is old or not generous.
If someone is creative or patient then someone is both not humble and wise.
Everyone who is not kind i... | Lucy is wise. | entailment | (![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((~tall(X)|creative(X))=>(~happy(X)&~calm(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(old(X)|~generous(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:(~kind(X)<=>(tall(X)<~>rich(X))))&
(((~funny(fred)&~generous(fred)))<=>(?[X]... | wise(lucy) | [
"p1",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4887404165411735920431131
% SZS output start Proof for 4887404165411735920431131
2. ! [X0] : ((creative(X0) | ~tall(X0)) => (~calm(X0) & ~happy(X0))) [input p1]
8. ~tall(fred) <=> ? [X0] : (tall(X0) & ~wise(X0)) [input p7]
16. ! [X0] : ((~happy(X0) | patient(X0)) <=> (tall(X0) & calm(X0))... | 0 |
Everyone who is either strong or not strong is both not funny and creative.
Everyone who is strong or wise is happy or patient and vice versa.
If mary is not strong or not generous then fred is not curious or humble and vice versa.
Everyone who is both rich and not quiet is not strong or humble.
Everyone who is not tal... | Mary is tall. | entailment | (![X]:((strong(X)<~>~strong(X))=>(~funny(X)&creative(X))))&
(![X]:((strong(X)|wise(X))<=>(happy(X)|patient(X))))&
(((~strong(mary)|~generous(mary)))<=>((~curious(fred)|humble(fred))))&
(![X]:((rich(X)&~quiet(X))=>(~strong(X)|humble(X))))&
(![X]:(~tall(X)<=>~brave(X)))&
(![X]:((~brave(X)&calm(X))=>(~calm(X)<~>humble(X))... | tall(mary) | [
"p0",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1811548445041100080505478
% SZS output start Proof for 1811548445041100080505478
1. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (creative(X0) & ~funny(X0))) [input p0]
5. ! [X0] : (~tall(X0) <=> ~brave(X0)) [input p4]
8. ? [X0] : (old(X0) | wise(X0)) <=> (funny(mary) & ~funny(mary)) [input ... | 0 |
Everyone who is either not calm or not creative is not happy or calm and vice versa.
Everyone who is either not wise or not quiet is quiet and vice versa.
Everyone who is not wise is rich and vice versa.
If paul is not old or not patient then someone is not funny and vice versa.
If someone is curious then someone is ol... | Lucy is rich. | entailment | (![X]:((~calm(X)<~>~creative(X))<=>(~happy(X)|calm(X))))&
(![X]:((~wise(X)<~>~quiet(X))<=>quiet(X)))&
(![X]:(~wise(X)<=>rich(X)))&
(((~old(paul)|~patient(paul)))<=>(?[X]:(~funny(X))))&
((?[X]:(curious(X)))<=>(?[X]:((old(X)|~humble(X)))))&
((?[X]:((old(X)|~brave(X))))<=>(~calm(lucy)))&
(![X]:((~wise(X)|~calm(X))=>(~crea... | rich(lucy) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 63641008904994423705204
% SZS output start Proof for 63641008904994423705204
2. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : (~wise(X0) <=> rich(X0)) [input p2]
25. ~rich(lucy) [input hypothesis]
35. ! [X0] : ((((quiet(X0) | wise(X0)) & (~quiet(X0) | ~wise(X0... | 0 |
Everyone who is strong or not generous is not generous. If mary is either strong or patient then someone is both not generous and tall. If mary is rich or not quiet then fred is not wise. Everyone who is not quiet is either strong or not patient and vice versa. Everyone who is not old is either funny or not brave. Ever... | Fred is not strong. | neutral | (![X]:((strong(X)|~generous(X))=>~generous(X)))&
(((strong(mary)<~>patient(mary)))=>(?[X]:((~generous(X)&tall(X)))))&
(((rich(mary)|~quiet(mary)))=>(~wise(fred)))&
(![X]:(~quiet(X)<=>(strong(X)<~>~patient(X))))&
(![X]:(~old(X)=>(funny(X)<~>~brave(X))))&
(![X]:((kind(X)&~brave(X))<=>(humble(X)|~tall(X))))&
((?[X]:(tall(... | ~strong(fred) | [] | null | 0 |
Everyone who is quiet is either funny or not rich. Everyone who is not brave is patient and vice versa. If john is either not generous or not tall then fred is old or not kind and vice versa. Everyone who is quiet is not quiet or not creative. If someone is either patient or curious then someone is both happy and not f... | Susan is not happy. | entailment | (![X]:(quiet(X)=>(funny(X)<~>~rich(X))))&
(![X]:(~brave(X)<=>patient(X)))&
(((~generous(john)<~>~tall(john)))<=>((old(fred)|~kind(fred))))&
(![X]:(quiet(X)=>(~quiet(X)|~creative(X))))&
((?[X]:((patient(X)<~>curious(X))))<=>(?[X]:((happy(X)&~funny(X)))))&
(((humble(mary)|~brave(mary)))<=>(?[X]:(quiet(X))))&
((quiet(susa... | ~happy(susan) | [
"p3",
"p6",
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6738344803404977689879919
% SZS output start Proof for 6738344803404977689879919
4. ! [X0] : (quiet(X0) => (~creative(X0) | ~quiet(X0))) [input p3]
7. quiet(susan) <=> ? [X0] : (calm(X0) | quiet(X0)) [input p6]
9. ! [X0] : ((~tall(X0) | ~quiet(X0)) => creative(X0)) [input p8]
14. ! [X0] :... | 0 |
Everyone who is patient or not calm is either brave or not wise.
Everyone who is either not kind or curious is not old or not patient.
Everyone who is not curious is both creative and not happy and vice versa.
Everyone who is quiet is both not strong and not tall.
If fred is kind then alice is either tall or humble and... | Fred is generous. | neutral | (![X]:((patient(X)|~calm(X))=>(brave(X)<~>~wise(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~old(X)|~patient(X))))&
(![X]:(~curious(X)<=>(creative(X)&~happy(X))))&
(![X]:(quiet(X)=>(~strong(X)&~tall(X))))&
((kind(fred))<=>((tall(alice)<~>humble(alice))))&
((~rich(fred))<=>((brave(mary)&creative(mary))))&
((?[X]:((curious(X... | generous(fred) | [] | null | 0 |
If paul is either not happy or not funny then someone is either patient or curious.
Everyone who is quiet is not calm or not old.
Everyone who is either generous or happy is either not quiet or generous and vice versa.
If someone is not strong or not wise then alice is brave.
Everyone who is funny or not patient is bot... | Lucy is rich. | contradiction | (((~happy(paul)<~>~funny(paul)))=>(?[X]:((patient(X)<~>curious(X)))))&
(![X]:(quiet(X)=>(~calm(X)|~old(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~quiet(X)<~>generous(X))))&
((?[X]:((~strong(X)|~wise(X))))=>(brave(alice)))&
(![X]:((funny(X)|~patient(X))<=>(tall(X)&humble(X))))&
((?[X]:(creative(X)))=>((curious(fred)&kin... | rich(lucy) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7829893195354458920241103
% SZS output start Proof for 7829893195354458920241103
5. ! [X0] : ((~patient(X0) | funny(X0)) <=> (humble(X0) & tall(X0))) [input p4]
12. ! [X0] : ((generous(X0) & ~rich(X0)) <=> humble(X0)) [input p11]
14. ! [X0] : ((~curious(X0) | patient(X0)) => (funny(X0) <~... | 0 |
Everyone who is not brave or not rich is either old or rich. If someone is not quiet or generous then mary is both rich and curious and vice versa. Everyone who is not funny is not strong or quiet and vice versa. Everyone who is both not curious and not brave is not patient and vice versa. Everyone who is either wise o... | Alice is not strong. | contradiction | (![X]:((~brave(X)|~rich(X))=>(old(X)<~>rich(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>((rich(mary)&curious(mary))))&
(![X]:(~funny(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~curious(X)&~brave(X))<=>~patient(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(~humble(X)|old(X))))&
((?[X]:((funny(X)<~>strong(X))))=>(?[X]:((~old(X)<~>gener... | ~strong(alice) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1183935564147276948351201
% SZS output start Proof for 1183935564147276948351201
3. ! [X0] : (~funny(X0) <=> (quiet(X0) | ~strong(X0))) [input p2]
19. funny(alice) [input p18]
25. ~strong(alice) [input hypothesis]
43. ! [X0] : ((~funny(X0) | (~quiet(X0) & strong(X0))) & ((quiet(X0) | ~str... | 0 |
If someone is not brave then mary is both not wise and strong and vice versa.
If alice is both calm and not quiet then someone is both quiet and creative.
Everyone who is tall or not calm is not tall and vice versa.
Everyone who is both humble and not funny is rich or quiet.
Everyone who is happy is not rich or not qui... | Susan is not calm. | entailment | ((?[X]:(~brave(X)))<=>((~wise(mary)&strong(mary))))&
(((calm(alice)&~quiet(alice)))=>(?[X]:((quiet(X)&creative(X)))))&
(![X]:((tall(X)|~calm(X))<=>~tall(X)))&
(![X]:((humble(X)&~funny(X))=>(rich(X)|quiet(X))))&
(![X]:(happy(X)=>(~rich(X)|~quiet(X))))&
(![X]:(~funny(X)=>(happy(X)<~>patient(X))))&
((?[X]:((~calm(X)&~stro... | ~calm(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 691703390430496814835257
% SZS output start Proof for 691703390430496814835257
3. ! [X0] : ((~calm(X0) | tall(X0)) <=> ~tall(X0)) [input p2]
24. calm(susan) [input hypothesis]
42. ! [X0] : (((~calm(X0) | tall(X0)) | tall(X0)) & (~tall(X0) | (calm(X0) & ~tall(X0)))) [nnf transformation 3]
... | 0 |
If paul is both curious and not calm then fred is tall or calm. If john is funny or not strong then fred is both wise and not curious and vice versa. If someone is not strong or generous then john is both not wise and patient and vice versa. If alice is happy or not funny then someone is not patient or not strong and v... | Susan is kind. | neutral | (((curious(paul)&~calm(paul)))=>((tall(fred)|calm(fred))))&
(((funny(john)|~strong(john)))<=>((wise(fred)&~curious(fred))))&
((?[X]:((~strong(X)|generous(X))))<=>((~wise(john)&patient(john))))&
(((happy(alice)|~funny(alice)))<=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:((~old(X)&funny(X))=>brave(X)))&
(![X]:(~rich(X)<=... | kind(susan) | [] | null | 0 |
Everyone who is rich or old is curious.
If someone is not funny or generous then mary is either creative or not rich and vice versa.
Everyone who is humble or strong is quiet or generous.
Everyone who is either calm or not curious is both curious and not tall.
Everyone who is both not kind and not patient is both not p... | Susan is humble. | contradiction | (![X]:((rich(X)|old(X))=>curious(X)))&
((?[X]:((~funny(X)|generous(X))))<=>((creative(mary)<~>~rich(mary))))&
(![X]:((humble(X)|strong(X))=>(quiet(X)|generous(X))))&
(![X]:((calm(X)<~>~curious(X))=>(curious(X)&~tall(X))))&
(![X]:((~kind(X)&~patient(X))<=>(~patient(X)&old(X))))&
((~wise(susan))=>(?[X]:((quiet(X)<~>humbl... | humble(susan) | [
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 17053911472290374922371
% SZS output start Proof for 17053911472290374922371
11. ! [X0] : ((curious(X0) & ~funny(X0)) <=> ~curious(X0)) [input p10]
13. ! [X0] : (happy(X0) => (curious(X0) <~> humble(X0))) [input p12]
14. ! [X0] : ((curious(X0) <~> ~happy(X0)) <=> curious(X0)) [input p13]
... | 0 |
Everyone who is either quiet or calm is both funny and old. Everyone who is either kind or not tall is both calm and not creative and vice versa. Everyone who is either not wise or curious is both quiet and humble and vice versa. If someone is both not brave and not wise then susan is both not happy and not patient and... | Alice is quiet. | contradiction | (![X]:((quiet(X)<~>calm(X))=>(funny(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))<=>(calm(X)&~creative(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(quiet(X)&humble(X))))&
((?[X]:((~brave(X)&~wise(X))))<=>((~happy(susan)&~patient(susan))))&
(![X]:((~creative(X)|creative(X))<=>(quiet(X)|wise(X))))&
(((funny(paul)&tall(paul)))<=>... | quiet(alice) | [
"p10",
"p12",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4212225248663597838822827
% SZS output start Proof for 4212225248663597838822827
11. ! [X0] : (~happy(X0) <=> humble(X0)) [input p10]
13. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (curious(X0) | ~patient(X0))) [input p12]
19. humble(alice) <~> ~patient(alice) [input p18]
20. happy(alice) & ~... | 0 |
Everyone who is not tall is not curious and vice versa.
Everyone who is happy is both kind and curious.
Everyone who is both curious and not humble is not kind or not patient and vice versa.
Everyone who is both not wise and brave is either not wise or wise and vice versa.
Everyone who is happy or quiet is not funny an... | Alice is not strong. | neutral | (![X]:(~tall(X)<=>~curious(X)))&
(![X]:(happy(X)=>(kind(X)&curious(X))))&
(![X]:((curious(X)&~humble(X))<=>(~kind(X)|~patient(X))))&
(![X]:((~wise(X)&brave(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((happy(X)|quiet(X))<=>~funny(X)))&
(((~creative(john)&~brave(john)))<=>(?[X]:(humble(X))))&
(![X]:((~creative(X)&~strong(X))=>(... | ~strong(alice) | [] | null | 0 |
If fred is either calm or patient then alice is not curious or brave and vice versa.
Everyone who is not curious is either calm or not old.
If someone is both generous and not wise then someone is both generous and not calm.
If someone is not rich or not brave then someone is curious.
Everyone who is brave is both humb... | Fred is not patient. | contradiction | (((calm(fred)<~>patient(fred)))<=>((~curious(alice)|brave(alice))))&
(![X]:(~curious(X)=>(calm(X)<~>~old(X))))&
((?[X]:((generous(X)&~wise(X))))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:((~rich(X)|~brave(X))))=>(?[X]:(curious(X))))&
(![X]:(brave(X)=>(humble(X)&~old(X))))&
(![X]:((rich(X)|~strong(X))<=>(~generous(X)&ri... | ~patient(fred) | [
"p7",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2806830453025425514607556
% SZS output start Proof for 2806830453025425514607556
8. ! [X0] : ((generous(X0) | ~creative(X0)) => (calm(X0) & ~calm(X0))) [input p7]
11. ! [X0] : ((~old(X0) | ~funny(X0)) => patient(X0)) [input p10]
14. ? [X0] : (~creative(X0) <~> old(X0)) <=> (funny(alice) <... | 0 |
Everyone who is either generous or rich is either rich or humble and vice versa.
Everyone who is not tall is both happy and not generous.
Everyone who is both brave and funny is patient or not humble.
Everyone who is both old and generous is not tall or creative and vice versa.
If susan is not old or funny then mary is... | Susan is not calm. | neutral | (![X]:((generous(X)<~>rich(X))<=>(rich(X)<~>humble(X))))&
(![X]:(~tall(X)=>(happy(X)&~generous(X))))&
(![X]:((brave(X)&funny(X))=>(patient(X)|~humble(X))))&
(![X]:((old(X)&generous(X))<=>(~tall(X)|creative(X))))&
(((~old(susan)|funny(susan)))=>(~curious(mary)))&
((?[X]:((~brave(X)|kind(X))))<=>(wise(mary)))&
(![X]:(cal... | ~calm(susan) | [] | null | 0 |
If alice is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is patient is both not happy and not quiet.
Everyone who is not humble or tall is either not patient or not kind.
Everyone who is not old or not brave is not tall or not happy and vice versa.
If someone is crea... | Mary is brave. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(patient(X)=>(~happy(X)&~quiet(X))))&
(![X]:((~humble(X)|tall(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>(~tall(X)|~happy(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)&~old(... | brave(mary) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7377392838840954320351232
% SZS output start Proof for 7377392838840954320351232
1. (~old(alice) <~> curious(alice)) <=> ? [X0] : (~curious(X0) <~> wise(X0)) [input p0]
2. ! [X0] : (patient(X0) => (~quiet(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((~old(X0) & ~quiet(X0)) => quiet(X0)) [in... | 0 |
Everyone who is rich or humble is either not brave or not generous and vice versa.
Everyone who is not funny or not patient is calm or not generous.
Everyone who is not quiet is not happy or not quiet and vice versa.
Everyone who is both not curious and not old is both not patient and tall and vice versa.
Everyone who ... | John is calm. | entailment | (![X]:((rich(X)|humble(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:((~funny(X)|~patient(X))=>(calm(X)|~generous(X))))&
(![X]:(~quiet(X)<=>(~happy(X)|~quiet(X))))&
(![X]:((~curious(X)&~old(X))<=>(~patient(X)&tall(X))))&
(![X]:((~curious(X)&~old(X))=>(~quiet(X)|creative(X))))&
((?[X]:((tall(X)<~>strong(X))))<=>(funny(paul)... | calm(john) | [
"p0",
"p1",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6062430610124716479385851
% SZS output start Proof for 6062430610124716479385851
1. ! [X0] : ((humble(X0) | rich(X0)) <=> (~brave(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~generous(X0) | calm(X0))) [input p1]
10. ! [X0] : ((~funny(X0) <~> ~creative(X... | 0 |
Everyone who is either not rich or creative is either happy or generous. Everyone who is not tall is not kind or rich. If mary is tall or not calm then someone is not calm or not happy and vice versa. Everyone who is not old is generous. Everyone who is rich or not patient is not tall and vice versa. If someone is both... | Alice is calm. | entailment | (![X]:((~rich(X)<~>creative(X))=>(happy(X)<~>generous(X))))&
(![X]:(~tall(X)=>(~kind(X)|rich(X))))&
(((tall(mary)|~calm(mary)))<=>(?[X]:((~calm(X)|~happy(X)))))&
(![X]:(~old(X)=>generous(X)))&
(![X]:((rich(X)|~patient(X))<=>~tall(X)))&
((?[X]:((~rich(X)&kind(X))))<=>((rich(fred)<~>~generous(fred))))&
(![X]:((patient(X)... | calm(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4559700277440413531288500
% SZS output start Proof for 4559700277440413531288500
16. ! [X0] : (calm(X0) <=> (~calm(X0) | ~curious(X0))) [input p15]
23. ~calm(alice) [input hypothesis]
63. ! [X0] : ((calm(X0) | (calm(X0) & curious(X0))) & ((~calm(X0) | ~curious(X0)) | ~calm(X0))) [nnf tran... | 0 |
If mary is curious or not old then susan is both not quiet and not wise and vice versa.
Everyone who is brave is not creative and vice versa.
Everyone who is either not patient or creative is not old or not happy.
Everyone who is not rich is either funny or creative and vice versa.
If paul is creative or not quiet then... | Fred is humble. | neutral | (((curious(mary)|~old(mary)))<=>((~quiet(susan)&~wise(susan))))&
(![X]:(brave(X)<=>~creative(X)))&
(![X]:((~patient(X)<~>creative(X))=>(~old(X)|~happy(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>creative(X))))&
(((creative(paul)|~quiet(paul)))=>(wise(fred)))&
((?[X]:((~funny(X)&~old(X))))=>(?[X]:((~humble(X)|~calm(X)))))&
((?... | humble(fred) | [] | null | 0 |
Everyone who is either generous or kind is brave. Everyone who is both creative and tall is not calm and vice versa. Everyone who is either creative or not happy is both not creative and not patient and vice versa. Everyone who is old is not strong or kind and vice versa. Everyone who is either not quiet or not funny i... | Mary is happy. | neutral | (![X]:((generous(X)<~>kind(X))=>brave(X)))&
(![X]:((creative(X)&tall(X))<=>~calm(X)))&
(![X]:((creative(X)<~>~happy(X))<=>(~creative(X)&~patient(X))))&
(![X]:(old(X)<=>(~strong(X)|kind(X))))&
(![X]:((~quiet(X)<~>~funny(X))=>(~strong(X)&rich(X))))&
(![X]:((quiet(X)&~happy(X))=>~quiet(X)))&
(![X]:((~calm(X)<~>~rich(X))<=... | happy(mary) | [] | null | 0 |
If someone is creative then mary is either not creative or rich.
If someone is strong then paul is not strong and vice versa.
Everyone who is either not funny or not generous is wise and vice versa.
Everyone who is both calm and not wise is both not quiet and rich and vice versa.
If someone is not kind or kind then som... | Paul is not old. | neutral | ((?[X]:(creative(X)))=>((~creative(mary)<~>rich(mary))))&
((?[X]:(strong(X)))<=>(~strong(paul)))&
(![X]:((~funny(X)<~>~generous(X))<=>wise(X)))&
(![X]:((calm(X)&~wise(X))<=>(~quiet(X)&rich(X))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~kind(X)|quiet(X)))))&
(![X]:((~old(X)&~kind(X))=>~strong(X)))&
(![X]:(~happy(X)<=>br... | ~old(paul) | [] | null | 0 |
Everyone who is happy or funny is either not calm or rich and vice versa. Everyone who is either not calm or not strong is either not rich or kind and vice versa. Everyone who is either quiet or not humble is either not rich or not patient and vice versa. If someone is either calm or tall then paul is old or not funny ... | John is patient. | contradiction | (![X]:((happy(X)|funny(X))<=>(~calm(X)<~>rich(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(~rich(X)<~>kind(X))))&
(![X]:((quiet(X)<~>~humble(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>((old(paul)|~funny(paul))))&
(![X]:(wise(X)=>(generous(X)<~>~quiet(X))))&
((~brave(john))=>((~funny(susan)|tall(susan... | patient(john) | [
"p0",
"p1",
"p2",
"p10",
"p12",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9018702411982006104102387
% SZS output start Proof for 9018702411982006104102387
1. ! [X0] : ((funny(X0) | happy(X0)) <=> (~calm(X0) <~> rich(X0))) [input p0]
2. ! [X0] : ((~calm(X0) <~> ~strong(X0)) <=> (~rich(X0) <~> kind(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~humble(X0)) <=> (~r... | 0 |
Everyone who is not generous or not old is quiet or not humble.
If fred is either happy or strong then lucy is either not humble or not rich.
Everyone who is humble is happy.
If susan is patient then alice is both quiet and curious and vice versa.
If fred is brave then paul is both not old and not rich and vice versa.
... | Alice is rich. | contradiction | (![X]:((~generous(X)|~old(X))=>(quiet(X)|~humble(X))))&
(((happy(fred)<~>strong(fred)))=>((~humble(lucy)<~>~rich(lucy))))&
(![X]:(humble(X)=>happy(X)))&
((patient(susan))<=>((quiet(alice)&curious(alice))))&
((brave(fred))<=>((~old(paul)&~rich(paul))))&
((?[X]:(happy(X)))=>((~calm(fred)|~wise(fred))))&
((?[X]:((~humble(... | rich(alice) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2683094473720545403169919
% SZS output start Proof for 2683094473720545403169919
9. (~brave(alice) & ~rich(alice)) <=> ? [X0] : (calm(X0) | tall(X0)) [input p8]
23. ? [X0] : tall(X0) [input p22]
25. rich(alice) [input hypothesis]
49. ((~brave(alice) & ~rich(alice)) | ! [X0] : (~calm(X0) &... | 0 |
Everyone who is both not generous and not tall is both calm and not humble.
Everyone who is either curious or patient is brave and vice versa.
Everyone who is calm is not old.
If someone is either not calm or not brave then fred is either rich or not happy and vice versa.
Everyone who is brave is either not generous or... | Mary is strong. | entailment | (![X]:((~generous(X)&~tall(X))=>(calm(X)&~humble(X))))&
(![X]:((curious(X)<~>patient(X))<=>brave(X)))&
(![X]:(calm(X)=>~old(X)))&
((?[X]:((~calm(X)<~>~brave(X))))<=>((rich(fred)<~>~happy(fred))))&
(![X]:(brave(X)=>(~generous(X)<~>~old(X))))&
(![X]:((~creative(X)|happy(X))<=>(strong(X)|old(X))))&
((?[X]:((rich(X)<~>happ... | strong(mary) | [
"p5",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 170549123474145497943762
% SZS output start Proof for 170549123474145497943762
6. ! [X0] : ((happy(X0) | ~creative(X0)) <=> (old(X0) | strong(X0))) [input p5]
9. ! [X0] : (happy(X0) => (~strong(X0) & ~old(X0))) [input p8]
16. ? [X0] : (creative(X0) | calm(X0)) <=> ? [X0] : (~wise(X0) & ha... | 0 |
Everyone who is both not quiet and old is both wise and kind and vice versa.
Everyone who is not curious is both not kind and not tall and vice versa.
If someone is not kind or not funny then someone is not wise or humble.
If someone is both calm and generous then susan is either not quiet or not happy.
If fred is not ... | Susan is humble. | neutral | (![X]:((~quiet(X)&old(X))<=>(wise(X)&kind(X))))&
(![X]:(~curious(X)<=>(~kind(X)&~tall(X))))&
((?[X]:((~kind(X)|~funny(X))))=>(?[X]:((~wise(X)|humble(X)))))&
((?[X]:((calm(X)&generous(X))))=>((~quiet(susan)<~>~happy(susan))))&
(((~old(fred)|humble(fred)))=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((curious(X)|humble(X))... | humble(susan) | [] | null | 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... | Paul is not tall. | 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... | ~tall(paul) | [] | null | 0 |
If someone is either not rich or happy then someone is both not strong and not funny.
Everyone who is creative is both not patient and not wise.
Everyone who is both not wise and not generous is both wise and not patient.
If john is both curious and old then paul is not brave.
If someone is not rich then someone is bot... | John is humble. | neutral | ((?[X]:((~rich(X)<~>happy(X))))=>(?[X]:((~strong(X)&~funny(X)))))&
(![X]:(creative(X)=>(~patient(X)&~wise(X))))&
(![X]:((~wise(X)&~generous(X))=>(wise(X)&~patient(X))))&
(((curious(john)&old(john)))=>(~brave(paul)))&
((?[X]:(~rich(X)))=>(?[X]:((humble(X)&~calm(X)))))&
(![X]:((old(X)<~>~generous(X))<=>(humble(X)|happy(X... | humble(john) | [] | null | 0 |
Everyone who is either tall or not funny is both not patient and not funny and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
If someone is not kind or calm then mary is not wise or not funny and vice versa.
Everyone who is either not curious or wise is both not kind and not tall.
Ev... | Mary is not happy. | contradiction | (![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
((?[X]:((~kind(X)|calm(X))))<=>((~wise(mary)|~funny(mary))))&
(![X]:((~curious(X)<~>wise(X))=>(~kind(X)&~tall(X))))&
(![X]:((~rich(X)&happy(X))<=>(~rich(X)<~>~brave(X))))&
(![X]:((patient(X)<~>~funny(X))<=>~... | ~happy(mary) | [
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3245732396047077121709519
% SZS output start Proof for 3245732396047077121709519
6. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> ~calm(X0)) [input p5]
7. ! [X0] : (~calm(X0) => (~happy(X0) & creative(X0))) [input p6]
9. ! [X0] : ((~creative(X0) & quiet(X0)) <=> (funny(X0) | ~kind(X0))) [inp... | 0 |
If paul is both brave and not tall then someone is both creative and not creative and vice versa.
Everyone who is quiet or calm is either not humble or calm and vice versa.
If someone is curious or not strong then paul is not quiet.
If someone is both creative and not wise then someone is old or not kind and vice versa... | John is not calm. | entailment | (((brave(paul)&~tall(paul)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((quiet(X)|calm(X))<=>(~humble(X)<~>calm(X))))&
((?[X]:((curious(X)|~strong(X))))=>(~quiet(paul)))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((old(X)|~kind(X)))))&
((?[X]:(creative(X)))=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~brave(X)<~>~... | ~calm(john) | [
"p1",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 444313259829545205146294
% SZS output start Proof for 444313259829545205146294
2. ! [X0] : ((calm(X0) | quiet(X0)) <=> (~humble(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (~wise(X0) & creative(X0)) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
7. ! [X0] : ((~brave(X0) | ~old(X0)) => ~humbl... | 0 |
If paul is tall or not generous then someone is either humble or not curious and vice versa.
Everyone who is both patient and happy is either not rich or rich.
If someone is strong then someone is funny and vice versa.
If paul is not patient or calm then mary is funny and vice versa.
Everyone who is either not wise or ... | Fred is kind. | neutral | (((tall(paul)|~generous(paul)))<=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:((patient(X)&happy(X))=>(~rich(X)<~>rich(X))))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
(((~patient(paul)|calm(paul)))<=>(funny(mary)))&
(![X]:((~wise(X)<~>~curious(X))=>(tall(X)&~humble(X))))&
(![X]:((strong(X)&~patient(X))<=>(~patient(X)<~... | kind(fred) | [] | null | 0 |
Everyone who is happy is both not tall and funny.
Everyone who is either wise or not patient is not kind and vice versa.
Everyone who is not quiet or not kind is both creative and not patient.
If fred is old or not rich then mary is not kind.
Everyone who is creative or not happy is old or brave and vice versa.
Everyon... | Mary is funny. | neutral | (![X]:(happy(X)=>(~tall(X)&funny(X))))&
(![X]:((wise(X)<~>~patient(X))<=>~kind(X)))&
(![X]:((~quiet(X)|~kind(X))=>(creative(X)&~patient(X))))&
(((old(fred)|~rich(fred)))=>(~kind(mary)))&
(![X]:((creative(X)|~happy(X))<=>(old(X)|brave(X))))&
(![X]:(quiet(X)=>(~old(X)&wise(X))))&
(![X]:((happy(X)|~tall(X))<=>(strong(X)|k... | funny(mary) | [] | null | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Fred is not old. | contradiction | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | ~old(fred) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 884286021543285266558867
% SZS output start Proof for 884286021543285266558867
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
8. ! [X0] : (generous(X0) <=> (old(X0) & brave(X0))) [input p7]
10. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0)) [in... | 0 |
If fred is both not happy and tall then paul is not calm or tall.
If john is both creative and not generous then lucy is both happy and generous.
Everyone who is rich or not tall is strong.
Everyone who is either not strong or not brave is not old or patient.
Everyone who is not generous or not kind is tall.
If someone... | Mary is not funny. | contradiction | (((~happy(fred)&tall(fred)))=>((~calm(paul)|tall(paul))))&
(((creative(john)&~generous(john)))=>((happy(lucy)&generous(lucy))))&
(![X]:((rich(X)|~tall(X))=>strong(X)))&
(![X]:((~strong(X)<~>~brave(X))=>(~old(X)|patient(X))))&
(![X]:((~generous(X)|~kind(X))=>tall(X)))&
((?[X]:((quiet(X)<~>old(X))))<=>((~patient(john)&ol... | ~funny(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1700881393050189304119618
% SZS output start Proof for 1700881393050189304119618
18. funny(mary) [input p17]
25. ~funny(mary) [input hypothesis]
144. funny(mary) [cnf transformation 18]
154. ~funny(mary) [cnf transformation 25]
346. 44 <=> funny(mary) [avatar definition]
376. 44 [avatar s... | 0 |
Everyone who is not brave or tall is not old or not calm and vice versa.
Everyone who is not tall or calm is brave or generous.
If john is either curious or humble then lucy is generous and vice versa.
Everyone who is happy or kind is both not rich and not quiet and vice versa.
If someone is generous then someone is no... | Alice is humble. | entailment | (![X]:((~brave(X)|tall(X))<=>(~old(X)|~calm(X))))&
(![X]:((~tall(X)|calm(X))=>(brave(X)|generous(X))))&
(((curious(john)<~>humble(john)))<=>(generous(lucy)))&
(![X]:((happy(X)|kind(X))<=>(~rich(X)&~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(~patient(X)<=>(kind(X)|patient(X))))&
(![X]... | humble(alice) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6642041338016766708958587
% SZS output start Proof for 6642041338016766708958587
6. ! [X0] : (~patient(X0) <=> (patient(X0) | kind(X0))) [input p5]
16. ! [X0] : (patient(X0) <=> (~humble(X0) | happy(X0))) [input p15]
23. ~humble(alice) [input hypothesis]
47. ! [X0] : ((~patient(X0) | (~pa... | 0 |
If mary is both not funny and not happy then someone is either not happy or brave.
Everyone who is not kind is both not humble and not old.
If someone is both funny and not strong then someone is quiet or curious.
Everyone who is wise or kind is both not generous and old.
Everyone who is wise is not wise or patient.
If... | Susan is not old. | entailment | (((~funny(mary)&~happy(mary)))=>(?[X]:((~happy(X)<~>brave(X)))))&
(![X]:(~kind(X)=>(~humble(X)&~old(X))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:((wise(X)|kind(X))=>(~generous(X)&old(X))))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>old(susan... | ~old(susan) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8665550986079431950155411
% SZS output start Proof for 8665550986079431950155411
2. ! [X0] : (~kind(X0) => (~old(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((kind(X0) | wise(X0)) => (old(X0) & ~generous(X0))) [input p3]
8. ! [X0] : ((humble(X0) | ~generous(X0)) => (~kind(X0) & quiet(X0)))... | 0 |
If fred is either not tall or not kind then paul is creative or brave and vice versa.
Everyone who is not curious or funny is both brave and not strong and vice versa.
Everyone who is humble or not strong is funny and vice versa.
Everyone who is generous is not old or quiet and vice versa.
If someone is not humble then... | Susan is rich. | entailment | (((~tall(fred)<~>~kind(fred)))<=>((creative(paul)|brave(paul))))&
(![X]:((~curious(X)|funny(X))<=>(brave(X)&~strong(X))))&
(![X]:((humble(X)|~strong(X))<=>funny(X)))&
(![X]:(generous(X)<=>(~old(X)|quiet(X))))&
((?[X]:(~humble(X)))=>((~funny(john)<~>funny(john))))&
(![X]:(wise(X)=>~happy(X)))&
(![X]:((wise(X)&funny(X))<... | rich(susan) | [
"p2",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6030263363106723701471817
% SZS output start Proof for 6030263363106723701471817
3. ! [X0] : ((~strong(X0) | humble(X0)) <=> funny(X0)) [input p2]
10. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~funny(X0) | rich(X0))) [input p9]
21. rich(susan) <~> ~funny(susan) [input p20]
23. ~rich(susan... | 0 |
Everyone who is calm is quiet and vice versa.
Everyone who is either curious or not patient is both not creative and not calm.
If someone is not generous then alice is both not generous and not tall and vice versa.
If fred is either strong or happy then lucy is both patient and quiet.
If lucy is not funny then paul is ... | Paul is kind. | entailment | (![X]:(calm(X)<=>quiet(X)))&
(![X]:((curious(X)<~>~patient(X))=>(~creative(X)&~calm(X))))&
((?[X]:(~generous(X)))<=>((~generous(alice)&~tall(alice))))&
(((strong(fred)<~>happy(fred)))=>((patient(lucy)&quiet(lucy))))&
((~funny(lucy))<=>((happy(paul)&brave(paul))))&
(![X]:((~patient(X)&~humble(X))<=>~wise(X)))&
((?[X]:((... | kind(paul) | [
"p0",
"p1",
"p5",
"p7",
"p11",
"p18",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6980556823139260289814420
% SZS output start Proof for 6980556823139260289814420
1. ! [X0] : (calm(X0) <=> quiet(X0)) [input p0]
2. ! [X0] : ((curious(X0) <~> ~patient(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
6. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> ~wise(X0)) [input p5]
8. ! ... | 0 |
If susan is either not kind or not strong then someone is funny. Everyone who is not tall or not curious is not curious and vice versa. Everyone who is either not rich or rich is not rich or not tall. If alice is calm or creative then someone is either not strong or wise and vice versa. Everyone who is either funny or ... | John is not rich. | entailment | (((~kind(susan)<~>~strong(susan)))=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|~curious(X))<=>~curious(X)))&
(![X]:((~rich(X)<~>rich(X))=>(~rich(X)|~tall(X))))&
(((calm(alice)|creative(alice)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~curious(X))<=>(~patient(X)|calm(X))))&
(![X]:((~brave(X)&~old(X))<=>(wise(X)... | ~rich(john) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7770685938518607886884175
% SZS output start Proof for 7770685938518607886884175
2. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> ~curious(X0)) [input p1]
3. ! [X0] : ((~rich(X0) <~> rich(X0)) => (~tall(X0) | ~rich(X0))) [input p2]
12. ! [X0] : (rich(X0) <=> (curious(X0) & creative(X0))) [inpu... | 0 |
Everyone who is both not rich and strong is both not funny and not creative.
If someone is not funny then fred is either not old or not rich.
Everyone who is brave or not brave is happy or not quiet.
If john is both not brave and strong then alice is calm or brave.
Everyone who is either not rich or calm is humble.
If ... | John is not strong. | entailment | (![X]:((~rich(X)&strong(X))=>(~funny(X)&~creative(X))))&
((?[X]:(~funny(X)))=>((~old(fred)<~>~rich(fred))))&
(![X]:((brave(X)|~brave(X))=>(happy(X)|~quiet(X))))&
(((~brave(john)&strong(john)))=>((calm(alice)|brave(alice))))&
(![X]:((~rich(X)<~>calm(X))=>humble(X)))&
((patient(susan))<=>((~calm(fred)<~>~wise(fred))))&
(... | ~strong(john) | [
"p3",
"p4",
"p6",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9042879775362127353183234
% SZS output start Proof for 9042879775362127353183234
4. (strong(john) & ~brave(john)) => (brave(alice) | calm(alice)) [input p3]
5. ! [X0] : ((~rich(X0) <~> calm(X0)) => humble(X0)) [input p4]
7. ! [X0] : ((calm(X0) & strong(X0)) => (~funny(X0) & brave(X0))) [i... | 0 |
Everyone who is both kind and not patient is either not curious or strong. If fred is both happy and not quiet then someone is both not old and old. If someone is both not wise and not calm then john is either not wise or curious. If someone is not quiet or humble then lucy is both tall and not patient and vice versa. ... | John is not rich. | entailment | (![X]:((kind(X)&~patient(X))=>(~curious(X)<~>strong(X))))&
(((happy(fred)&~quiet(fred)))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:((~wise(X)&~calm(X))))=>((~wise(john)<~>curious(john))))&
((?[X]:((~quiet(X)|humble(X))))<=>((tall(lucy)&~patient(lucy))))&
(![X]:((calm(X)|brave(X))=>strong(X)))&
(![X]:((~rich(X)&rich(X))<=>(~c... | ~rich(john) | [
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4473741833484629890745201
% SZS output start Proof for 4473741833484629890745201
12. ! [X0] : (brave(X0) <=> (~calm(X0) | rich(X0))) [input p11]
21. ~brave(john) [input p20]
24. rich(john) [input hypothesis]
58. ! [X0] : ((brave(X0) | (calm(X0) & ~rich(X0))) & ((~calm(X0) | rich(X0)) | ~b... | 0 |
If someone is not humble then lucy is both not kind and not curious and vice versa. Everyone who is both generous and not patient is not wise. If someone is not calm or humble then someone is either not wise or happy. Everyone who is both happy and creative is both humble and funny. Everyone who is tall is either stron... | Mary is not strong. | contradiction | ((?[X]:(~humble(X)))<=>((~kind(lucy)&~curious(lucy))))&
(![X]:((generous(X)&~patient(X))=>~wise(X)))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((~wise(X)<~>happy(X)))))&
(![X]:((happy(X)&creative(X))=>(humble(X)&funny(X))))&
(![X]:(tall(X)=>(strong(X)<~>~creative(X))))&
(((~humble(fred)|generous(fred)))=>((curious(paul)<~... | ~strong(mary) | [
"p0",
"p10",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1061118291324302777473471
% SZS output start Proof for 1061118291324302777473471
1. ? [X0] : ~humble(X0) <=> (~curious(lucy) & ~kind(lucy)) [input p0]
11. ! [X0] : ((~humble(X0) <~> ~happy(X0)) <=> (~strong(X0) <~> kind(X0))) [input p10]
14. ! [X0] : (~rich(X0) <=> (curious(X0) & happy(X0... | 0 |
If someone is both not creative and not strong then lucy is either quiet or not quiet.
Everyone who is both not curious and not wise is not tall and vice versa.
If someone is either humble or kind then someone is both funny and not curious and vice versa.
Everyone who is either funny or rich is curious or not happy.
Ev... | Mary is wise. | contradiction | ((?[X]:((~creative(X)&~strong(X))))=>((quiet(lucy)<~>~quiet(lucy))))&
(![X]:((~curious(X)&~wise(X))<=>~tall(X)))&
((?[X]:((humble(X)<~>kind(X))))<=>(?[X]:((funny(X)&~curious(X)))))&
(![X]:((funny(X)<~>rich(X))=>(curious(X)|~happy(X))))&
(![X]:((strong(X)&~tall(X))<=>(~happy(X)|quiet(X))))&
(![X]:(~brave(X)<=>(funny(X)&... | wise(mary) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 275874096830243977526059
% SZS output start Proof for 275874096830243977526059
2. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> ~tall(X0)) [input p1]
5. ! [X0] : ((~tall(X0) & strong(X0)) <=> (quiet(X0) | ~happy(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (strong(X0) & funny(X0))) [input p5]
... | 0 |
Everyone who is either happy or not curious is not tall or curious and vice versa.
Everyone who is not calm is both generous and quiet and vice versa.
Everyone who is not happy or creative is generous and vice versa.
If susan is quiet or not generous then lucy is not tall and vice versa.
Everyone who is not strong is n... | Paul is not happy. | contradiction | (![X]:((happy(X)<~>~curious(X))<=>(~tall(X)|curious(X))))&
(![X]:(~calm(X)<=>(generous(X)&quiet(X))))&
(![X]:((~happy(X)|creative(X))<=>generous(X)))&
(((quiet(susan)|~generous(susan)))<=>(~tall(lucy)))&
(![X]:(~strong(X)<=>(~tall(X)|wise(X))))&
(((~strong(john)|~quiet(john)))<=>(?[X]:((tall(X)&~curious(X)))))&
((?[X]:... | ~happy(paul) | [
"p0",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2107204540204761635602047
% SZS output start Proof for 2107204540204761635602047
1. ! [X0] : ((happy(X0) <~> ~curious(X0)) <=> (curious(X0) | ~tall(X0))) [input p0]
5. ! [X0] : (~strong(X0) <=> (wise(X0) | ~tall(X0))) [input p4]
19. happy(paul) | strong(paul) [input p18]
25. ~happy(paul) ... | 0 |
Everyone who is patient or not rich is either rich or not generous and vice versa.
If someone is either curious or not calm then lucy is both not generous and calm and vice versa.
If someone is curious or not wise then someone is both not quiet and old.
Everyone who is both happy and not wise is generous or funny.
If s... | Lucy is wise. | entailment | (![X]:((patient(X)|~rich(X))<=>(rich(X)<~>~generous(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>((~generous(lucy)&calm(lucy))))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:((~quiet(X)&old(X)))))&
(![X]:((happy(X)&~wise(X))=>(generous(X)|funny(X))))&
((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~pa... | wise(lucy) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 109759996068476052851509
% SZS output start Proof for 109759996068476052851509
3. ? [X0] : (~wise(X0) | curious(X0)) => ? [X0] : (old(X0) & ~quiet(X0)) [input p2]
9. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~old(X0) & ~happy(X0))) [input p8]
22. ~wise(lucy) [input hypothesis]
23. ? [X0] : (... | 0 |
Everyone who is either not old or not quiet is not calm or humble.
If lucy is humble then susan is tall.
If paul is either generous or not wise then someone is both creative and not humble and vice versa.
If someone is not strong or not happy then paul is either strong or brave.
Everyone who is not humble is generous a... | Lucy is old. | contradiction | (![X]:((~old(X)<~>~quiet(X))=>(~calm(X)|humble(X))))&
((humble(lucy))=>(tall(susan)))&
(((generous(paul)<~>~wise(paul)))<=>(?[X]:((creative(X)&~humble(X)))))&
((?[X]:((~strong(X)|~happy(X))))=>((strong(paul)<~>brave(paul))))&
(![X]:(~humble(X)<=>generous(X)))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((~rich(X)|~kind... | old(lucy) | [
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8122412416295464139962175
% SZS output start Proof for 8122412416295464139962175
9. ! [X0] : (curious(X0) => (~old(X0) & creative(X0))) [input p8]
21. old(lucy) <~> ~curious(lucy) [input p20]
24. old(lucy) [input hypothesis]
34. ! [X0] : ((~old(X0) & creative(X0)) | ~curious(X0)) [ennf tr... | 0 |
If fred is either quiet or not tall then mary is either not funny or quiet. Everyone who is not old or not strong is both curious and calm and vice versa. If someone is either not wise or generous then someone is either kind or not old and vice versa. If someone is humble then susan is old or not tall and vice versa. E... | Susan is generous. | neutral | (((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(humble(X)))<=>((old(susan)|~tall(susan))))&
(![X]:((tall(X)&patient(X))=>(tall(X)|~rich(X))))&
(![X]:((~happy(X)|~curious(X))... | generous(susan) | [] | null | 0 |
If someone is not tall then someone is creative or not tall and vice versa.
If someone is humble or not strong then someone is not patient.
If alice is creative or not happy then mary is either not patient or not generous and vice versa.
Everyone who is not calm or creative is both quiet and not happy.
If alice is crea... | Fred is not humble. | neutral | ((?[X]:(~tall(X)))<=>(?[X]:((creative(X)|~tall(X)))))&
((?[X]:((humble(X)|~strong(X))))=>(?[X]:(~patient(X))))&
(((creative(alice)|~happy(alice)))<=>((~patient(mary)<~>~generous(mary))))&
(![X]:((~calm(X)|creative(X))=>(quiet(X)&~happy(X))))&
((creative(alice))<=>(quiet(mary)))&
(![X]:((brave(X)<~>patient(X))<=>(~stron... | ~humble(fred) | [] | null | 0 |
Everyone who is rich is either not strong or not patient and vice versa.
If susan is brave then someone is not generous or happy and vice versa.
Everyone who is either not old or wise is both strong and not creative and vice versa.
Everyone who is not happy is both generous and wise.
If someone is both not funny and ha... | Paul is not humble. | entailment | (![X]:(rich(X)<=>(~strong(X)<~>~patient(X))))&
((brave(susan))<=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~old(X)<~>wise(X))<=>(strong(X)&~creative(X))))&
(![X]:(~happy(X)=>(generous(X)&wise(X))))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:(~wise(X))))&
(![X]:(kind(X)=>(~curious(X)&generous(X))))&
(![X]:((~calm(X)<~>calm... | ~humble(paul) | [
"p0",
"p6",
"p7",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1324838204856656372978915
% SZS output start Proof for 1324838204856656372978915
1. ! [X0] : (rich(X0) <=> (~strong(X0) <~> ~patient(X0))) [input p0]
7. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (brave(X0) & ~patient(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | brave(X0)) => calm(X0)) [input p... | 0 |
Everyone who is quiet or strong is either humble or happy. Everyone who is not brave is either not calm or happy. Everyone who is strong is both rich and tall and vice versa. If someone is either not curious or kind then someone is wise or strong. Everyone who is rich is tall or not quiet. Everyone who is tall or not c... | Susan is curious. | entailment | (![X]:((quiet(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:(~brave(X)=>(~calm(X)<~>happy(X))))&
(![X]:(strong(X)<=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|strong(X)))))&
(![X]:(rich(X)=>(tall(X)|~quiet(X))))&
(![X]:((tall(X)|~calm(X))<=>(calm(X)<~>generous(X))))&
(![X]:((tall(X)&creati... | curious(susan) | [
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 798903371599183769734941
% SZS output start Proof for 798903371599183769734941
3. ! [X0] : (strong(X0) <=> (tall(X0) & rich(X0))) [input p2]
9. ! [X0] : ((~generous(X0) | strong(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p8]
12. ! [X0] : ((~calm(X0) | ~strong(X0)) => (creative(X0) & cur... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or kind then paul is both not wise and creative.
If john is kind then someone is not generous.
If susan is funny then someone is tall or not patient.
Everyone who is not generous is not kind.
I... | Paul is generous. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>kind(mary)))=>((~wise(paul)&creative(paul))))&
((kind(john))=>(?[X]:(~generous(X))))&
((funny(susan))=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:(~generous(X)=>~kind(X)))&
((?[X]:(~humble(X)))<=>((~rich(paul)&quiet(paul))))&
(((humble(a... | generous(paul) | [
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 344620497812224340172752
% SZS output start Proof for 344620497812224340172752
9. (generous(paul) & rich(paul)) <=> ? [X0] : (~humble(X0) <~> ~tall(X0)) [input p8]
13. ! [X0] : (tall(X0) <=> ~humble(X0)) [input p12]
17. ~happy(lucy) & humble(lucy) [input p16]
23. ~generous(paul) [input hy... | 0 |
If someone is not funny then susan is either not old or not brave.
Everyone who is either brave or creative is both humble and kind and vice versa.
If someone is either brave or calm then someone is not funny or not quiet and vice versa.
If john is rich then fred is both not humble and generous and vice versa.
If someo... | John is funny. | entailment | ((?[X]:(~funny(X)))=>((~old(susan)<~>~brave(susan))))&
(![X]:((brave(X)<~>creative(X))<=>(humble(X)&kind(X))))&
((?[X]:((brave(X)<~>calm(X))))<=>(?[X]:((~funny(X)|~quiet(X)))))&
((rich(john))<=>((~humble(fred)&generous(fred))))&
((?[X]:((~humble(X)&~curious(X))))<=>(?[X]:((~curious(X)<~>old(X)))))&
((?[X]:((wise(X)&~ta... | funny(john) | [
"p3",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8723347147726549127565398
% SZS output start Proof for 8723347147726549127565398
4. rich(john) <=> (generous(fred) & ~humble(fred)) [input p3]
8. ! [X0] : ((old(X0) | ~old(X0)) => (rich(X0) <~> funny(X0))) [input p7]
20. ~generous(fred) [input p19]
24. ~funny(john) [input hypothesis]
33. ... | 0 |
Everyone who is tall or generous is either not calm or calm and vice versa. Everyone who is happy is either patient or creative. Everyone who is either not strong or not old is both not calm and not patient. If someone is both humble and not creative then someone is not old or not humble. Everyone who is either not hum... | Alice is not brave. | neutral | (![X]:((tall(X)|generous(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(happy(X)=>(patient(X)<~>creative(X))))&
(![X]:((~strong(X)<~>~old(X))=>(~calm(X)&~patient(X))))&
((?[X]:((humble(X)&~creative(X))))=>(?[X]:((~old(X)|~humble(X)))))&
(![X]:((~humble(X)<~>~kind(X))<=>(~wise(X)&~patient(X))))&
(![X]:((~kind(X)|curious(X))<=>(hu... | ~brave(alice) | [] | null | 0 |
If lucy is both not tall and not generous then someone is both not curious and rich and vice versa.
Everyone who is humble is both not happy and wise.
Everyone who is not rich is both patient and not strong and vice versa.
If someone is either not humble or not kind then susan is both not creative and not quiet and vic... | Paul is humble. | neutral | (((~tall(lucy)&~generous(lucy)))<=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:(humble(X)=>(~happy(X)&wise(X))))&
(![X]:(~rich(X)<=>(patient(X)&~strong(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((~creative(susan)&~quiet(susan))))&
(![X]:(humble(X)<=>(strong(X)<~>creative(X))))&
(![X]:(~strong(X)<=>(old(X)|~wise(X))))&
(((p... | humble(paul) | [] | null | 0 |
Everyone who is rich or brave is either wise or generous.
If someone is either tall or not tall then paul is not humble and vice versa.
Everyone who is kind is not patient or not rich and vice versa.
Everyone who is both not humble and happy is both not kind and not curious.
If someone is happy or not humble then lucy ... | Paul is not happy. | entailment | (![X]:((rich(X)|brave(X))=>(wise(X)<~>generous(X))))&
((?[X]:((tall(X)<~>~tall(X))))<=>(~humble(paul)))&
(![X]:(kind(X)<=>(~patient(X)|~rich(X))))&
(![X]:((~humble(X)&happy(X))=>(~kind(X)&~curious(X))))&
((?[X]:((happy(X)|~humble(X))))=>((calm(lucy)<~>~patient(lucy))))&
(((happy(lucy)<~>rich(lucy)))<=>(?[X]:((calm(X)<~... | ~happy(paul) | [
"p1",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5487383279354425695670383
% SZS output start Proof for 5487383279354425695670383
2. ? [X0] : (tall(X0) <~> ~tall(X0)) <=> ~humble(paul) [input p1]
4. ! [X0] : ((happy(X0) & ~humble(X0)) => (~curious(X0) & ~kind(X0))) [input p3]
7. ! [X0] : (~humble(X0) => (curious(X0) & calm(X0))) [input ... | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If someone is both funny and not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who ... | Alice is not calm. | entailment | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
((?[X]:((funny(X)&~tall(X))))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~k... | ~calm(alice) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 747098538720588446055530
% SZS output start Proof for 747098538720588446055530
6. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p5]
9. (happy(alice) <~> calm(alice)) => (quiet(susan) & ~quiet(susan)) [input p8]
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0)))... | 0 |
If someone is not brave or quiet then alice is not funny or happy.
If someone is either not happy or not calm then paul is both not calm and not rich and vice versa.
If mary is both funny and not wise then someone is either curious or not tall and vice versa.
Everyone who is creative is both not old and not generous an... | Fred is wise. | entailment | ((?[X]:((~brave(X)|quiet(X))))=>((~funny(alice)|happy(alice))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((~calm(paul)&~rich(paul))))&
(((funny(mary)&~wise(mary)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:(creative(X)<=>(~old(X)&~generous(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(generous(X)&wise(X))))&
(![X]:((~calm(X)&~gene... | wise(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6328413951575404473557993
% SZS output start Proof for 6328413951575404473557993
5. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (wise(X0) & generous(X0))) [input p4]
21. ~wise(fred) [input hypothesis]
46. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) | (~wise(X0) | ~generous(X0)... | 0 |
Everyone who is not strong is not happy or not patient and vice versa. If someone is tall or brave then someone is both tall and not tall and vice versa. Everyone who is either not generous or kind is both curious and not funny. If paul is creative or humble then someone is either not calm or brave and vice versa. Ever... | Susan is strong. | contradiction | (![X]:(~strong(X)<=>(~happy(X)|~patient(X))))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:((tall(X)&~tall(X)))))&
(![X]:((~generous(X)<~>kind(X))=>(curious(X)&~funny(X))))&
(((creative(paul)|humble(paul)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~creative(X)|kind(X))<=>(~strong(X)<~>curious(X))))&
((strong(susan))<=>((~wi... | strong(susan) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4378634684501239880635411
% SZS output start Proof for 4378634684501239880635411
1. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~strong(X0) <~> curious(X0))) [input p4]
6. strong(susan) <=> (happy(lucy) & ~wise(lucy)) [inp... | 0 |
Everyone who is not patient is calm. If paul is happy then someone is both not tall and not generous and vice versa. If susan is both generous and quiet then alice is both not calm and not tall and vice versa. Everyone who is not patient is not patient or patient. Everyone who is quiet is generous and vice versa. If so... | Mary is not brave. | entailment | (![X]:(~patient(X)=>calm(X)))&
((happy(paul))<=>(?[X]:((~tall(X)&~generous(X)))))&
(((generous(susan)&quiet(susan)))<=>((~calm(alice)&~tall(alice))))&
(![X]:(~patient(X)=>(~patient(X)|patient(X))))&
(![X]:(quiet(X)<=>generous(X)))&
((?[X]:((~brave(X)&~humble(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~humble(X)))<=>((~curiou... | ~brave(mary) | [
"p4",
"p5",
"p6",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6785158887193487863315051
% SZS output start Proof for 6785158887193487863315051
5. ! [X0] : (quiet(X0) <=> generous(X0)) [input p4]
6. ? [X0] : (~humble(X0) & ~brave(X0)) <=> ? [X0] : ~quiet(X0) [input p5]
7. ? [X0] : ~humble(X0) <=> (~curious(mary) <~> ~humble(mary)) [input p6]
12. ! [X... | 0 |
Everyone who is both brave and not calm is kind or tall and vice versa. Everyone who is curious or not strong is not calm or kind. Everyone who is either old or creative is not old and vice versa. If susan is both not generous and funny then paul is not wise and vice versa. Everyone who is both curious and wise is eith... | Fred is not creative. | contradiction | (![X]:((brave(X)&~calm(X))<=>(kind(X)|tall(X))))&
(![X]:((curious(X)|~strong(X))=>(~calm(X)|kind(X))))&
(![X]:((old(X)<~>creative(X))<=>~old(X)))&
(((~generous(susan)&funny(susan)))<=>(~wise(paul)))&
(![X]:((curious(X)&wise(X))=>(~happy(X)<~>~quiet(X))))&
(((wise(fred)&~curious(fred)))<=>(?[X]:(~calm(X))))&
(((quiet(ma... | ~creative(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6945825679679415972632325
% SZS output start Proof for 6945825679679415972632325
3. ! [X0] : ((old(X0) <~> creative(X0)) <=> ~old(X0)) [input p2]
24. ~creative(fred) [input hypothesis]
41. ! [X0] : ((((~creative(X0) | ~old(X0)) & (creative(X0) | old(X0))) | old(X0)) & (~old(X0) | ((old(X0... | 0 |
Everyone who is both happy and not curious is both brave and not brave.
Everyone who is not old or not wise is both wise and happy and vice versa.
Everyone who is either rich or not humble is both calm and wise and vice versa.
Everyone who is not happy is strong and vice versa.
If lucy is both generous and not calm the... | Susan is not strong. | contradiction | (![X]:((happy(X)&~curious(X))=>(brave(X)&~brave(X))))&
(![X]:((~old(X)|~wise(X))<=>(wise(X)&happy(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(calm(X)&wise(X))))&
(![X]:(~happy(X)<=>strong(X)))&
(((generous(lucy)&~calm(lucy)))<=>(?[X]:(~wise(X))))&
(((~wise(mary)|~strong(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:(~b... | ~strong(susan) | [
"p0",
"p1",
"p2",
"p3",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 193954975132056221968968
% SZS output start Proof for 193954975132056221968968
1. ! [X0] : ((~curious(X0) & happy(X0)) => (~brave(X0) & brave(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | ~old(X0)) <=> (happy(X0) & wise(X0))) [input p1]
3. ! [X0] : ((rich(X0) <~> ~humble(X0)) <=> (wise(X0) &... | 0 |
Everyone who is both generous and strong is either wise or kind and vice versa. Everyone who is not funny is either rich or not funny and vice versa. Everyone who is both rich and not strong is not old or rich. If someone is generous or quiet then someone is not calm or curious. Everyone who is both generous and not ta... | John is wise. | contradiction | (![X]:((generous(X)&strong(X))<=>(wise(X)<~>kind(X))))&
(![X]:(~funny(X)<=>(rich(X)<~>~funny(X))))&
(![X]:((rich(X)&~strong(X))=>(~old(X)|rich(X))))&
((?[X]:((generous(X)|quiet(X))))=>(?[X]:((~calm(X)|curious(X)))))&
(![X]:((generous(X)&~tall(X))=>(humble(X)&~strong(X))))&
(![X]:(~strong(X)<=>(~funny(X)|~generous(X))))... | wise(john) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 577973185532057936138518
% SZS output start Proof for 577973185532057936138518
1. ! [X0] : ((strong(X0) & generous(X0)) <=> (wise(X0) <~> kind(X0))) [input p0]
2. ! [X0] : (~funny(X0) <=> (rich(X0) <~> ~funny(X0))) [input p1]
7. ! [X0] : (~rich(X0) => (tall(X0) | ~generous(X0))) [input p6... | 0 |
If someone is not funny then lucy is either not calm or generous and vice versa.
Everyone who is not brave or humble is old or wise and vice versa.
If someone is either not happy or tall then someone is both not curious and patient.
If someone is not patient then alice is rich and vice versa.
Everyone who is not patien... | Alice is old. | neutral | ((?[X]:(~funny(X)))<=>((~calm(lucy)<~>generous(lucy))))&
(![X]:((~brave(X)|humble(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((~patient(X)|~calm(X))<=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&quiet(X))))<=>((patient(mary)... | old(alice) | [] | null | 0 |
Everyone who is both not generous and not happy is generous and vice versa.
Everyone who is not tall or calm is either not wise or not curious.
Everyone who is either not calm or curious is not brave or patient.
If paul is both patient and not tall then someone is either rich or not quiet and vice versa.
Everyone who i... | Paul is not tall. | entailment | (![X]:((~generous(X)&~happy(X))<=>generous(X)))&
(![X]:((~tall(X)|calm(X))=>(~wise(X)<~>~curious(X))))&
(![X]:((~calm(X)<~>curious(X))=>(~brave(X)|patient(X))))&
(((patient(paul)&~tall(paul)))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((creative(X)&kind(X))=>(curious(X)|old(X))))&
((?[X]:((generous(X)<~>~strong(X))))=>(... | ~tall(paul) | [
"p0",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8842600486952485583228423
% SZS output start Proof for 8842600486952485583228423
1. ! [X0] : ((~happy(X0) & ~generous(X0)) <=> generous(X0)) [input p0]
4. (~tall(paul) & patient(paul)) <=> ? [X0] : (rich(X0) <~> ~quiet(X0)) [input p3]
12. (~strong(alice) | ~rich(alice)) => (~tall(john) & ... | 0 |
If mary is either patient or not humble then someone is both not kind and calm and vice versa. Everyone who is both rich and happy is both not patient and not strong. Everyone who is either not happy or brave is quiet and vice versa. Everyone who is happy or calm is either rich or humble. Everyone who is either kind or... | John is not brave. | entailment | (((patient(mary)<~>~humble(mary)))<=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:((rich(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:((~happy(X)<~>brave(X))<=>quiet(X)))&
(![X]:((happy(X)|calm(X))=>(rich(X)<~>humble(X))))&
(![X]:((kind(X)<~>rich(X))=>strong(X)))&
(![X]:((funny(X)<~>happy(X))<=>(brave(X)<~>funny(X))))&
(![X]... | ~brave(john) | [
"p2",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2565006234950462528283403
% SZS output start Proof for 2565006234950462528283403
3. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> quiet(X0)) [input p2]
6. ! [X0] : ((funny(X0) <~> happy(X0)) <=> (brave(X0) <~> funny(X0))) [input p5]
13. ? [X0] : (~patient(X0) & ~quiet(X0)) <=> ? [X0] : (happy(... | 0 |
If someone is not humble or not quiet then someone is both not rich and not wise. If someone is either not kind or wise then someone is not funny and vice versa. Everyone who is creative is either rich or generous. If susan is creative or not tall then someone is either creative or generous. Everyone who is both quiet ... | Lucy is not kind. | neutral | ((?[X]:((~humble(X)|~quiet(X))))=>(?[X]:((~rich(X)&~wise(X)))))&
((?[X]:((~kind(X)<~>wise(X))))<=>(?[X]:(~funny(X))))&
(![X]:(creative(X)=>(rich(X)<~>generous(X))))&
(((creative(susan)|~tall(susan)))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((quiet(X)&~brave(X))=>(calm(X)|~kind(X))))&
(![X]:((~kind(X)<~>~funny(X))... | ~kind(lucy) | [] | null | 0 |
Everyone who is both not curious and strong is creative. If someone is both old and humble then someone is not wise or creative. Everyone who is either not quiet or not creative is both curious and not humble and vice versa. Everyone who is both happy and not generous is quiet or generous. If john is funny or not funny... | John is not creative. | contradiction | (![X]:((~curious(X)&strong(X))=>creative(X)))&
((?[X]:((old(X)&humble(X))))=>(?[X]:((~wise(X)|creative(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(curious(X)&~humble(X))))&
(![X]:((happy(X)&~generous(X))=>(quiet(X)|generous(X))))&
(((funny(john)|~funny(john)))=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:((~happy(X)&rich(X)... | ~creative(john) | [
"p2",
"p3",
"p8",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1745397906878907718733927
% SZS output start Proof for 1745397906878907718733927
3. ! [X0] : ((~quiet(X0) <~> ~creative(X0)) <=> (~humble(X0) & curious(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & happy(X0)) => (generous(X0) | quiet(X0))) [input p3]
9. ! [X0] : ((happy(X0) | ~curious(X0... | 0 |
Everyone who is not quiet is not creative.
Everyone who is either not brave or rich is both not curious and calm.
If someone is either not curious or not tall then someone is both kind and not calm and vice versa.
If susan is not kind or not happy then someone is both humble and not humble.
Everyone who is old is not c... | Paul is not humble. | entailment | (![X]:(~quiet(X)=>~creative(X)))&
(![X]:((~brave(X)<~>rich(X))=>(~curious(X)&calm(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(((~kind(susan)|~happy(susan)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creativ... | ~humble(paul) | [
"p4",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 379198178008898100399659
% SZS output start Proof for 379198178008898100399659
5. ! [X0] : (old(X0) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p6]
11. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (rich(X0) | ~curious(X0))) [input p10]
13... | 0 |
Everyone who is not tall or not rich is not old or funny.
If someone is not tall then john is either generous or strong.
If someone is curious or not happy then someone is not generous.
Everyone who is not strong or not calm is either not humble or wise.
Everyone who is either not tall or not patient is not rich.
If so... | Susan is not rich. | neutral | (![X]:((~tall(X)|~rich(X))=>(~old(X)|funny(X))))&
((?[X]:(~tall(X)))=>((generous(john)<~>strong(john))))&
((?[X]:((curious(X)|~happy(X))))=>(?[X]:(~generous(X))))&
(![X]:((~strong(X)|~calm(X))=>(~humble(X)<~>wise(X))))&
(![X]:((~tall(X)<~>~patient(X))=>~rich(X)))&
((?[X]:(~curious(X)))<=>(funny(mary)))&
(![X]:((happy(X... | ~rich(susan) | [] | null | 0 |
Everyone who is quiet or not curious is rich or not creative and vice versa.
If john is patient or not quiet then someone is both not creative and creative and vice versa.
If paul is both funny and generous then john is not old or not generous.
Everyone who is not humble is quiet or brave and vice versa.
Everyone who i... | Alice is generous. | entailment | (![X]:((quiet(X)|~curious(X))<=>(rich(X)|~creative(X))))&
(((patient(john)|~quiet(john)))<=>(?[X]:((~creative(X)&creative(X)))))&
(((funny(paul)&generous(paul)))=>((~old(john)|~generous(john))))&
(![X]:(~humble(X)<=>(quiet(X)|brave(X))))&
(![X]:((curious(X)&quiet(X))<=>(~old(X)&~tall(X))))&
((?[X]:((happy(X)|strong(X))... | generous(alice) | [
"p3",
"p6",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6530397969649669749785665
% SZS output start Proof for 6530397969649669749785665
4. ! [X0] : (~humble(X0) <=> (brave(X0) | quiet(X0))) [input p3]
7. ! [X0] : (~generous(X0) <=> (~humble(X0) | ~patient(X0))) [input p6]
15. ! [X0] : ((quiet(X0) & rich(X0)) <=> (wise(X0) | ~funny(X0))) [inpu... | 0 |
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