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 brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both wise and not curious and vice versa.
If fred is both not generous and calm then someone is not old.
If someone is creative then someone is generous.
Everyone who is both not happy and tall is eith... | John is not generous. | entailment | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(wise(X)&~curious(X))))&
(((~generous(fred)&calm(fred)))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>... | ~generous(john) | [
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3050982416336375655575336
% SZS output start Proof for 3050982416336375655575336
7. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p6]
8. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p7]
12. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input... | 0 |
If alice is both patient and not brave then susan is kind or strong and vice versa.
Everyone who is either patient or not strong is not creative and vice versa.
If john is not creative then alice is both not patient and old.
If someone is both kind and not creative then someone is both old and quiet and vice versa.
If ... | John is not creative. | contradiction | (((patient(alice)&~brave(alice)))<=>((kind(susan)|strong(susan))))&
(![X]:((patient(X)<~>~strong(X))<=>~creative(X)))&
((~creative(john))=>((~patient(alice)&old(alice))))&
((?[X]:((kind(X)&~creative(X))))<=>(?[X]:((old(X)&quiet(X)))))&
((kind(fred))<=>((quiet(john)&~patient(john))))&
(((patient(alice)&~calm(alice)))=>(... | ~creative(john) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2418445468282132613837145
% SZS output start Proof for 2418445468282132613837145
1. (~brave(alice) & patient(alice)) <=> (strong(susan) | kind(susan)) [input p0]
3. ~creative(john) => (old(alice) & ~patient(alice)) [input p2]
13. ! [X0] : ((rich(X0) <~> kind(X0)) <=> ~rich(X0)) [input p12... | 0 |
Everyone who is not calm or generous is calm or generous and vice versa.
If someone is not patient or patient then paul is brave or old.
Everyone who is either not strong or not old is not calm and vice versa.
Everyone who is both not calm and not patient is patient.
If someone is both generous and not funny then someo... | Alice is not humble. | contradiction | (![X]:((~calm(X)|generous(X))<=>(calm(X)|generous(X))))&
((?[X]:((~patient(X)|patient(X))))=>((brave(paul)|old(paul))))&
(![X]:((~strong(X)<~>~old(X))<=>~calm(X)))&
(![X]:((~calm(X)&~patient(X))=>patient(X)))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(generous(X))))&
(((strong(mary)<~>~creative(mary)))=>(?[X]:((~calm(... | ~humble(alice) | [
"p2",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2731177739607407868916457
% SZS output start Proof for 2731177739607407868916457
3. ! [X0] : ((~strong(X0) <~> ~old(X0)) <=> ~calm(X0)) [input p2]
9. ! [X0] : ((~quiet(X0) | old(X0)) <=> ~old(X0)) [input p8]
10. ! [X0] : ((calm(X0) & ~strong(X0)) => (old(X0) | humble(X0))) [input p9]
13. ... | 0 |
If mary is happy then someone is creative and vice versa. Everyone who is either creative or not brave is both not brave and not tall and vice versa. Everyone who is either not rich or not funny is both kind and wise and vice versa. If lucy is both not funny and not strong then someone is rich and vice versa. Everyone ... | Susan is curious. | contradiction | ((happy(mary))<=>(?[X]:(creative(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~rich(X)<~>~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((patient(X)|~strong(X))=>(~quiet(X)<~>~rich(X))))&
(![X]:(creative(X)<=>(tall(X)<~>~generous(X))))&
(![X]:(~... | curious(susan) | [
"p0",
"p1",
"p5",
"p8",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 960406047797145133445194
% SZS output start Proof for 960406047797145133445194
1. happy(mary) <=> ? [X0] : creative(X0) [input p0]
2. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~tall(X0) & ~brave(X0))) [input p1]
6. ! [X0] : (creative(X0) <=> (tall(X0) <~> ~generous(X0))) [input p5]
9. ... | 0 |
Everyone who is both quiet and not curious is not rich or kind and vice versa.
If mary is either quiet or kind then lucy is both not patient and not kind.
Everyone who is either not tall or wise is both not generous and not strong.
Everyone who is either not curious or not rich is both not rich and strong.
If alice is ... | Fred is not strong. | contradiction | (![X]:((quiet(X)&~curious(X))<=>(~rich(X)|kind(X))))&
(((quiet(mary)<~>kind(mary)))=>((~patient(lucy)&~kind(lucy))))&
(![X]:((~tall(X)<~>wise(X))=>(~generous(X)&~strong(X))))&
(![X]:((~curious(X)<~>~rich(X))=>(~rich(X)&strong(X))))&
((quiet(alice))=>(?[X]:((humble(X)&quiet(X)))))&
(((~tall(susan)&~brave(susan)))=>(?[X]... | ~strong(fred) | [
"p0",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5547958907882541897833128
% SZS output start Proof for 5547958907882541897833128
1. ! [X0] : ((~curious(X0) & quiet(X0)) <=> (kind(X0) | ~rich(X0))) [input p0]
8. ! [X0] : (strong(X0) <=> (brave(X0) | ~curious(X0))) [input p7]
18. ~rich(fred) [input p17]
25. ~strong(fred) [input hypothesi... | 0 |
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is not happy then mary is not happy.... | Mary is not kind. | contradiction | (((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~happy... | ~kind(mary) | [
"p1",
"p2",
"p3",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8839498636409833339516501
% SZS output start Proof for 8839498636409833339516501
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => (old(X0) | quiet(X0))) [input p2]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p... | 0 |
If mary is strong then fred is both not strong and not curious.
If paul is both not patient and quiet then fred is either rich or not brave.
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or no... | Fred is old. | neutral | ((strong(mary))=>((~strong(fred)&~curious(fred))))&
(((~patient(paul)&quiet(paul)))=>((rich(fred)<~>~brave(fred))))&
(((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall... | old(fred) | [] | null | 0 |
Everyone who is strong is kind. Everyone who is both not funny and funny is not creative or generous and vice versa. Everyone who is both strong and brave is not strong. If someone is both patient and curious then someone is kind or not quiet and vice versa. If fred is either calm or not kind then susan is not happy or... | Susan is creative. | entailment | (![X]:(strong(X)=>kind(X)))&
(![X]:((~funny(X)&funny(X))<=>(~creative(X)|generous(X))))&
(![X]:((strong(X)&brave(X))=>~strong(X)))&
((?[X]:((patient(X)&curious(X))))<=>(?[X]:((kind(X)|~quiet(X)))))&
(((calm(fred)<~>~kind(fred)))<=>((~happy(susan)|brave(susan))))&
(![X]:(~tall(X)<=>(~brave(X)|~quiet(X))))&
((?[X]:(stron... | creative(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1621166081620598521867278
% SZS output start Proof for 1621166081620598521867278
2. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (generous(X0) | ~creative(X0))) [input p1]
23. ~creative(susan) [input hypothesis]
37. ! [X0] : (((funny(X0) & ~funny(X0)) | (~generous(X0) & creative(X0))) & ((gener... | 0 |
Everyone who is not tall is both not calm and not creative and vice versa. Everyone who is generous is happy or not strong. If paul is not humble then someone is not quiet. If someone is both kind and brave then someone is both brave and not kind. Everyone who is both not generous and not strong is either not patient o... | Alice is not calm. | contradiction | (![X]:(~tall(X)<=>(~calm(X)&~creative(X))))&
(![X]:(generous(X)=>(happy(X)|~strong(X))))&
((~humble(paul))=>(?[X]:(~quiet(X))))&
((?[X]:((kind(X)&brave(X))))=>(?[X]:((brave(X)&~kind(X)))))&
(![X]:((~generous(X)&~strong(X))=>(~patient(X)<~>happy(X))))&
(![X]:((~wise(X)|~rich(X))<=>(brave(X)|~patient(X))))&
(((~calm(alic... | ~calm(alice) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4358993371790285267720386
% SZS output start Proof for 4358993371790285267720386
15. ! [X0] : ((calm(X0) & strong(X0)) <=> (~generous(X0) | ~strong(X0))) [input p14]
23. ~generous(alice) [input p22]
25. ~calm(alice) [input hypothesis]
61. ! [X0] : (((calm(X0) & strong(X0)) | (generous(X0)... | 0 |
Everyone who is not funny is either not brave or curious.
If paul is tall then susan is not patient or tall.
Everyone who is not creative or not strong is either kind or curious.
Everyone who is either tall or not creative is patient or not quiet and vice versa.
Everyone who is not creative or not brave is strong.
Ever... | John is funny. | neutral | (![X]:(~funny(X)=>(~brave(X)<~>curious(X))))&
((tall(paul))=>((~patient(susan)|tall(susan))))&
(![X]:((~creative(X)|~strong(X))=>(kind(X)<~>curious(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(patient(X)|~quiet(X))))&
(![X]:((~creative(X)|~brave(X))=>strong(X)))&
(![X]:((~humble(X)&~quiet(X))=>(~kind(X)|~curious(X))))&
((... | funny(john) | [] | null | 0 |
Everyone who is not creative or not kind is both not tall and strong and vice versa.
If someone is rich then fred is either patient or old and vice versa.
If someone is either funny or not rich then alice is either not rich or not wise.
Everyone who is not kind is rich and vice versa.
Everyone who is not patient is eit... | Susan is not rich. | neutral | (![X]:((~creative(X)|~kind(X))<=>(~tall(X)&strong(X))))&
((?[X]:(rich(X)))<=>((patient(fred)<~>old(fred))))&
((?[X]:((funny(X)<~>~rich(X))))=>((~rich(alice)<~>~wise(alice))))&
(![X]:(~kind(X)<=>rich(X)))&
(![X]:(~patient(X)<=>(~rich(X)<~>~creative(X))))&
(![X]:((~humble(X)|tall(X))=>(curious(X)|~strong(X))))&
(![X]:((~... | ~rich(susan) | [] | null | 0 |
If someone is either not kind or not humble then fred is either strong or patient and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative... | Paul is not creative. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((strong(fred)<~>patient(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~... | ~creative(paul) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1933852142517873629384023
% SZS output start Proof for 1933852142517873629384023
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
8. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> g... | 0 |
If someone is not creative then paul is not happy and vice versa.
Everyone who is both not creative and strong is both creative and not strong.
If mary is old then john is either funny or not rich.
Everyone who is humble or kind is not kind or wise and vice versa.
If someone is brave then susan is both brave and not qu... | Fred is brave. | contradiction | ((?[X]:(~creative(X)))<=>(~happy(paul)))&
(![X]:((~creative(X)&strong(X))=>(creative(X)&~strong(X))))&
((old(mary))=>((funny(john)<~>~rich(john))))&
(![X]:((humble(X)|kind(X))<=>(~kind(X)|wise(X))))&
((?[X]:(brave(X)))=>((brave(susan)&~quiet(susan))))&
((~humble(alice))=>(?[X]:((~happy(X)<~>rich(X)))))&
((?[X]:((curiou... | brave(fred) | [
"p3",
"p4",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 564275990629843272841863
% SZS output start Proof for 564275990629843272841863
4. ! [X0] : ((kind(X0) | humble(X0)) <=> (wise(X0) | ~kind(X0))) [input p3]
5. ? [X0] : brave(X0) => (~quiet(susan) & brave(susan)) [input p4]
14. ! [X0] : ((wise(X0) & ~rich(X0)) => (~old(X0) & ~wise(X0))) [in... | 0 |
If someone is strong then someone is either generous or funny and vice versa.
If someone is curious or rich then someone is not rich or patient and vice versa.
Everyone who is either not calm or humble is not old and vice versa.
Everyone who is either not tall or not strong is both not wise and strong and vice versa.
E... | Mary is rich. | neutral | ((?[X]:(strong(X)))<=>(?[X]:((generous(X)<~>funny(X)))))&
((?[X]:((curious(X)|rich(X))))<=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((~calm(X)<~>humble(X))<=>~old(X)))&
(![X]:((~tall(X)<~>~strong(X))<=>(~wise(X)&strong(X))))&
(![X]:((calm(X)<~>~strong(X))<=>~generous(X)))&
((?[X]:((funny(X)<~>~tall(X))))=>(?[X]:((~old(X)... | rich(mary) | [] | null | 0 |
Everyone who is creative is either tall or not wise. Everyone who is curious or brave is brave. If someone is funny or curious then alice is happy. If someone is not curious or curious then mary is not tall or not humble and vice versa. Everyone who is not strong or quiet is not strong. Everyone who is both strong and ... | Lucy is strong. | contradiction | (![X]:(creative(X)=>(tall(X)<~>~wise(X))))&
(![X]:((curious(X)|brave(X))=>brave(X)))&
((?[X]:((funny(X)|curious(X))))=>(happy(alice)))&
((?[X]:((~curious(X)|curious(X))))<=>((~tall(mary)|~humble(mary))))&
(![X]:((~strong(X)|quiet(X))=>~strong(X)))&
(![X]:((strong(X)&~patient(X))=>(creative(X)<~>~tall(X))))&
(((calm(luc... | strong(lucy) | [
"p1",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 676376640926683413134915
% SZS output start Proof for 676376640926683413134915
2. ! [X0] : ((brave(X0) | curious(X0)) => brave(X0)) [input p1]
9. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> (~funny(X0) <~> ~generous(X0))) [input p8]
10. ? [X0] : (creative(X0) & ~funny(X0)) <=> ? [X0] : ... | 0 |
If alice is not brave then susan is both not funny and not strong and vice versa. If someone is generous or kind then lucy is curious and vice versa. Everyone who is both not generous and wise is wise or kind and vice versa. Everyone who is creative is both happy and humble and vice versa. If someone is either not crea... | Lucy is not tall. | neutral | ((~brave(alice))<=>((~funny(susan)&~strong(susan))))&
((?[X]:((generous(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~generous(X)&wise(X))<=>(wise(X)|kind(X))))&
(![X]:(creative(X)<=>(happy(X)&humble(X))))&
((?[X]:((~creative(X)<~>kind(X))))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((curious(X)&wise(X))=>~rich(X)))&
((?[X... | ~tall(lucy) | [] | null | 0 |
Everyone who is either happy or rich is tall or not wise and vice versa.
Everyone who is not kind is not tall or generous and vice versa.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is either humble or quiet and vice versa.
Everyone who is wise or not curious is eit... | John is not curious. | entailment | (![X]:((happy(X)<~>rich(X))<=>(tall(X)|~wise(X))))&
(![X]:(~kind(X)<=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curious(X))<=>(~wise(X)<~>humble(X))))&
(![X]:(wise(X)=>(~strong(X)&rich(X))))&
((?[X]:(~calm(X)... | ~curious(john) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 805280826565072414291249
% SZS output start Proof for 805280826565072414291249
1. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (~wise(X0) | tall(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~wise(X0) <~> humble(X0))) [input p4]
6. ! [X0] : (wise(X0) => (rich(X0) & ~strong(X0))) ... | 0 |
If someone is not quiet then someone is both not curious and tall and vice versa.
Everyone who is both brave and not kind is not creative and vice versa.
If alice is curious or not creative then someone is kind.
Everyone who is both curious and not humble is quiet and vice versa.
Everyone who is both wise and creative ... | John is not funny. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((brave(X)&~kind(X))<=>~creative(X)))&
(((curious(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&~humble(X))<=>quiet(X)))&
(![X]:((wise(X)&creative(X))=>~quiet(X)))&
(((~quiet(paul)&~humble(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(![X]:(... | ~funny(john) | [] | null | 0 |
Everyone who is not patient is both not creative and quiet and vice versa.
Everyone who is not patient or generous is either rich or not happy.
If mary is both not calm and not brave then someone is either not calm or not funny and vice versa.
If someone is not tall or not brave then someone is strong and vice versa.
E... | Alice is curious. | entailment | (![X]:(~patient(X)<=>(~creative(X)&quiet(X))))&
(![X]:((~patient(X)|generous(X))=>(rich(X)<~>~happy(X))))&
(((~calm(mary)&~brave(mary)))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)<~>~creative(X))=>(funny(X)&~wise(X))))&
(![X]:((~creative(X)<~>wise(X))<=>(... | curious(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7439720154540057229679242
% SZS output start Proof for 7439720154540057229679242
24. humble(alice) & curious(alice) [input p23]
25. ~curious(alice) [input hypothesis]
152. curious(alice) [cnf transformation 24]
154. ~curious(alice) [cnf transformation 25]
334. $false [subsumption resoluti... | 0 |
If someone is generous or not generous then john is either quiet or old.
If someone is either brave or tall then paul is either not rich or not patient and vice versa.
If someone is funny then someone is either not happy or rich and vice versa.
Everyone who is not kind is creative or not patient and vice versa.
Everyon... | John is not patient. | contradiction | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>old(john))))&
((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))&
((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~kind(X)<=>(creative(X)|~patient(X))))&
(![X]:((brave(X)&curious(X))<=>(~quiet(X)&generous(X))))&
(((happy(paul)&funny(paul... | ~patient(john) | [
"p4",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4367520727701921361284251
% SZS output start Proof for 4367520727701921361284251
5. ! [X0] : ((curious(X0) & brave(X0)) <=> (generous(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (generous(X0) & calm(X0))) [input p6]
10. ? [X0] : ~patient(X0) <=> ? [X0] : (~o... | 0 |
Everyone who is quiet is either not quiet or rich.
Everyone who is either not creative or calm is not curious or not strong and vice versa.
If mary is wise or rich then someone is humble.
Everyone who is not humble is not rich or rich.
Everyone who is not generous is calm or patient.
If someone is not strong then someo... | Mary is wise. | entailment | (![X]:(quiet(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~creative(X)<~>calm(X))<=>(~curious(X)|~strong(X))))&
(((wise(mary)|rich(mary)))=>(?[X]:(humble(X))))&
(![X]:(~humble(X)=>(~rich(X)|rich(X))))&
(![X]:(~generous(X)=>(calm(X)|patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((kind(X)&old(X)))))&
(![X]:((tall(X)<~>~wise(X))=>(... | wise(mary) | [
"p4",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8452815885295506019785803
% SZS output start Proof for 8452815885295506019785803
5. ! [X0] : (~generous(X0) => (patient(X0) | calm(X0))) [input p4]
12. ! [X0] : (~wise(X0) <=> (~patient(X0) <~> ~quiet(X0))) [input p11]
14. ! [X0] : ((calm(X0) | ~quiet(X0)) => (~funny(X0) & funny(X0))) [in... | 0 |
Everyone who is not humble is both curious and old and vice versa.
If alice is both not curious and not strong then someone is not wise and vice versa.
If susan is not quiet or not creative then alice is both not funny and not curious and vice versa.
If fred is strong or wise then john is wise and vice versa.
If mary i... | Fred is calm. | neutral | (![X]:(~humble(X)<=>(curious(X)&old(X))))&
(((~curious(alice)&~strong(alice)))<=>(?[X]:(~wise(X))))&
(((~quiet(susan)|~creative(susan)))<=>((~funny(alice)&~curious(alice))))&
(((strong(fred)|wise(fred)))<=>(wise(john)))&
(((~generous(mary)|wise(mary)))=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>curious(... | calm(fred) | [] | null | 0 |
If susan is not rich or tall then mary is not brave and vice versa.
If someone is humble then susan is creative or not funny.
Everyone who is both not strong and wise is both not humble and old and vice versa.
Everyone who is wise or not tall is both not old and not brave and vice versa.
Everyone who is wise or not wis... | Mary is not creative. | neutral | (((~rich(susan)|tall(susan)))<=>(~brave(mary)))&
((?[X]:(humble(X)))=>((creative(susan)|~funny(susan))))&
(![X]:((~strong(X)&wise(X))<=>(~humble(X)&old(X))))&
(![X]:((wise(X)|~tall(X))<=>(~old(X)&~brave(X))))&
(![X]:((wise(X)|~wise(X))=>(~old(X)|~quiet(X))))&
(![X]:(~quiet(X)<=>(~wise(X)<~>~calm(X))))&
(((~wise(john)<~... | ~creative(mary) | [] | null | 0 |
Everyone who is both not brave and happy is not rich and vice versa. Everyone who is not tall or not curious is either not generous or not kind. Everyone who is not humble is not creative or generous and vice versa. Everyone who is happy is not kind. If fred is both not brave and patient then fred is either not patient... | Susan is creative. | entailment | (![X]:((~brave(X)&happy(X))<=>~rich(X)))&
(![X]:((~tall(X)|~curious(X))=>(~generous(X)<~>~kind(X))))&
(![X]:(~humble(X)<=>(~creative(X)|generous(X))))&
(![X]:(happy(X)=>~kind(X)))&
(((~brave(fred)&patient(fred)))<=>((~patient(fred)<~>curious(fred))))&
(![X]:((humble(X)&~calm(X))<=>(patient(X)|~strong(X))))&
((?[X]:(~wi... | creative(susan) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7613541556816024610491071
% SZS output start Proof for 7613541556816024610491071
8. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (~quiet(X0) | quiet(X0))) [input p7]
16. ! [X0] : ((~creative(X0) & quiet(X0)) <=> ~creative(X0)) [input p15]
22. ~creative(susan) [input hypothesis]
40. ! [X0] : (((~... | 0 |
If mary is not tall or quiet then mary is either not rich or curious.
Everyone who is not brave is not brave or not tall and vice versa.
If mary is either curious or not generous then paul is either not generous or not wise.
Everyone who is not funny or not happy is generous.
Everyone who is either funny or not creativ... | Alice is not generous. | neutral | (((~tall(mary)|quiet(mary)))=>((~rich(mary)<~>curious(mary))))&
(![X]:(~brave(X)<=>(~brave(X)|~tall(X))))&
(((curious(mary)<~>~generous(mary)))=>((~generous(paul)<~>~wise(paul))))&
(![X]:((~funny(X)|~happy(X))=>generous(X)))&
(![X]:((funny(X)<~>~creative(X))<=>(creative(X)&~wise(X))))&
(![X]:(~wise(X)=>(quiet(X)|~patie... | ~generous(alice) | [] | null | 0 |
Everyone who is both rich and not rich is not humble or quiet and vice versa. If mary is both humble and funny then mary is rich or not happy and vice versa. If fred is both old and strong then lucy is funny and vice versa. If alice is not generous or humble then mary is not strong or rich and vice versa. Everyone who ... | Alice is rich. | contradiction | (![X]:((rich(X)&~rich(X))<=>(~humble(X)|quiet(X))))&
(((humble(mary)&funny(mary)))<=>((rich(mary)|~happy(mary))))&
(((old(fred)&strong(fred)))<=>(funny(lucy)))&
(((~generous(alice)|humble(alice)))<=>((~strong(mary)|rich(mary))))&
(![X]:((strong(X)|quiet(X))<=>(happy(X)|~tall(X))))&
(![X]:((~rich(X)&old(X))<=>(~rich(X)<... | rich(alice) | [
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 169312852831225289855007
% SZS output start Proof for 169312852831225289855007
6. ! [X0] : ((old(X0) & ~rich(X0)) <=> (~rich(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((~happy(X0) & tall(X0)) <=> (patient(X0) | rich(X0))) [input p6]
16. ! [X0] : (~happy(X0) <=> patient(X0)) [input p15]... | 0 |
Everyone who is not tall or happy is both curious and quiet. If someone is either happy or brave then susan is both not patient and tall. If lucy is generous then mary is tall. If someone is humble then alice is calm or funny. Everyone who is humble or calm is rich and vice versa. If someone is either humble or not fun... | Lucy is not patient. | entailment | (![X]:((~tall(X)|happy(X))=>(curious(X)&quiet(X))))&
((?[X]:((happy(X)<~>brave(X))))=>((~patient(susan)&tall(susan))))&
((generous(lucy))=>(tall(mary)))&
((?[X]:(humble(X)))=>((calm(alice)|funny(alice))))&
(![X]:((humble(X)|calm(X))<=>rich(X)))&
((?[X]:((humble(X)<~>~funny(X))))<=>(?[X]:((~generous(X)|~wise(X)))))&
(![... | ~patient(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1683508336785160940473722
% SZS output start Proof for 1683508336785160940473722
20. ~patient(lucy) [input p19]
24. patient(lucy) [input hypothesis]
134. ~patient(lucy) [cnf transformation 20]
138. patient(lucy) [cnf transformation 24]
282. 33 <=> patient(lucy) [avatar definition]
309. ~3... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or not curious is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is... | Paul is not humble. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))... | ~humble(paul) | [
"p0",
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 80811817848244636369971
% SZS output start Proof for 80811817848244636369971
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(X0)... | 0 |
Everyone who is both curious and not tall is both not calm and old and vice versa. Everyone who is patient or not patient is both not brave and happy. If mary is both not strong and not old then someone is either curious or strong and vice versa. Everyone who is kind is not curious and vice versa. Everyone who is eithe... | Paul is strong. | neutral | (![X]:((curious(X)&~tall(X))<=>(~calm(X)&old(X))))&
(![X]:((patient(X)|~patient(X))=>(~brave(X)&happy(X))))&
(((~strong(mary)&~old(mary)))<=>(?[X]:((curious(X)<~>strong(X)))))&
(![X]:(kind(X)<=>~curious(X)))&
(![X]:((old(X)<~>curious(X))<=>(tall(X)|~brave(X))))&
(((~creative(mary)<~>curious(mary)))<=>(creative(fred)))&... | strong(paul) | [] | null | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | John is not strong. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | ~strong(john) | [
"p3",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4205231861816071196769880
% SZS output start Proof for 4205231861816071196769880
4. ! [X0] : (~strong(X0) <=> (rich(X0) <~> ~old(X0))) [input p3]
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~cal... | 0 |
Everyone who is not funny is both calm and funny and vice versa.
If someone is either not patient or quiet then susan is curious and vice versa.
If fred is strong then susan is not curious or not humble and vice versa.
Everyone who is either not happy or curious is calm and vice versa.
Everyone who is not strong or not... | Susan is not humble. | entailment | (![X]:(~funny(X)<=>(calm(X)&funny(X))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(curious(susan)))&
((strong(fred))<=>((~curious(susan)|~humble(susan))))&
(![X]:((~happy(X)<~>curious(X))<=>calm(X)))&
(![X]:((~strong(X)|~quiet(X))=>(~brave(X)|~kind(X))))&
(![X]:((~rich(X)&old(X))=>(patient(X)<~>happy(X))))&
(![X]:((old(X)|... | ~humble(susan) | [
"p0",
"p3",
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2997228088104649197667787
% SZS output start Proof for 2997228088104649197667787
1. ! [X0] : (~funny(X0) <=> (funny(X0) & calm(X0))) [input p0]
4. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> calm(X0)) [input p3]
7. ! [X0] : ((kind(X0) | old(X0)) => ~curious(X0)) [input p6]
8. ! [X0] : ((hu... | 0 |
If someone is both not happy and not funny then someone is either not strong or calm. Everyone who is not wise is rich. If someone is rich then john is strong. Everyone who is not quiet or not curious is both generous and not calm and vice versa. Everyone who is either generous or quiet is not kind or not happy and vic... | Lucy is quiet. | contradiction | ((?[X]:((~happy(X)&~funny(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:(~wise(X)=>rich(X)))&
((?[X]:(rich(X)))=>(strong(john)))&
(![X]:((~quiet(X)|~curious(X))<=>(generous(X)&~calm(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(~kind(X)|~happy(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~calm(... | quiet(lucy) | [
"p3",
"p4",
"p7",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4564016922943351840753978
% SZS output start Proof for 4564016922943351840753978
4. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> (~calm(X0) & generous(X0))) [input p3]
5. ! [X0] : ((generous(X0) <~> quiet(X0)) <=> (~happy(X0) | ~kind(X0))) [input p4]
8. ! [X0] : ((curious(X0) <~> ~kind(X0)) ... | 0 |
If someone is brave or not brave then john is not tall or not patient.
If someone is not wise then someone is either not brave or not rich.
If someone is both old and not tall then lucy is tall or not tall and vice versa.
If someone is both tall and not calm then someone is either funny or wise and vice versa.
Everyone... | Lucy is wise. | entailment | ((?[X]:((brave(X)|~brave(X))))=>((~tall(john)|~patient(john))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave(X)<~>~rich(X)))))&
((?[X]:((old(X)&~tall(X))))<=>((tall(lucy)|~tall(lucy))))&
((?[X]:((tall(X)&~calm(X))))<=>(?[X]:((funny(X)<~>wise(X)))))&
(![X]:((~tall(X)|~quiet(X))=>strong(X)))&
((?[X]:((happy(X)|generous(X))))=>(?[... | wise(lucy) | [
"p1",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3486642820289791678982374
% SZS output start Proof for 3486642820289791678982374
2. ? [X0] : ~wise(X0) => ? [X0] : (~brave(X0) <~> ~rich(X0)) [input p1]
8. ? [X0] : (humble(X0) | brave(X0)) <=> (~kind(lucy) & old(lucy)) [input p7]
12. ! [X0] : (rich(X0) => (tall(X0) & ~rich(X0))) [input p... | 0 |
If mary is either quiet or not old then someone is not kind or not funny.
Everyone who is both calm and not patient is both tall and not happy and vice versa.
If paul is not humble or not creative then fred is not calm.
Everyone who is not old or not generous is rich or quiet.
Everyone who is both not quiet and not old... | Paul is not curious. | contradiction | (((quiet(mary)<~>~old(mary)))=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:((calm(X)&~patient(X))<=>(tall(X)&~happy(X))))&
(((~humble(paul)|~creative(paul)))=>(~calm(fred)))&
(![X]:((~old(X)|~generous(X))=>(rich(X)|quiet(X))))&
(![X]:((~quiet(X)&~old(X))=>(~happy(X)&creative(X))))&
(![X]:((~funny(X)<~>~rich(X))<=>curious(X))... | ~curious(paul) | [
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2574336287093465923894121
% SZS output start Proof for 2574336287093465923894121
9. ! [X0] : (~curious(X0) => (~humble(X0) & ~generous(X0))) [input p8]
21. generous(paul) [input p20]
25. ~curious(paul) [input hypothesis]
35. ! [X0] : ((~humble(X0) & ~generous(X0)) | curious(X0)) [ennf tra... | 0 |
Everyone who is not kind is both not kind and curious. If someone is not creative or strong then someone is both wise and not brave and vice versa. Everyone who is kind is both funny and quiet. Everyone who is both not happy and happy is not generous or happy and vice versa. If someone is not kind or tall then alice is... | John is not old. | neutral | (![X]:(~kind(X)=>(~kind(X)&curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(kind(X)=>(funny(X)&quiet(X))))&
(![X]:((~happy(X)&happy(X))<=>(~generous(X)|happy(X))))&
((?[X]:((~kind(X)|tall(X))))=>((~funny(alice)&curious(alice))))&
((?[X]:((~patient(X)<~>funny(X))))=>((~funny(paul... | ~old(john) | [] | null | 0 |
Everyone who is either not tall or not creative is not strong or calm and vice versa. If someone is either not generous or not humble then mary is happy or creative. Everyone who is rich or not kind is not generous and vice versa. Everyone who is not brave or curious is either not strong or not brave. If susan is not c... | Fred is not strong. | neutral | (![X]:((~tall(X)<~>~creative(X))<=>(~strong(X)|calm(X))))&
((?[X]:((~generous(X)<~>~humble(X))))=>((happy(mary)|creative(mary))))&
(![X]:((rich(X)|~kind(X))<=>~generous(X)))&
(![X]:((~brave(X)|curious(X))=>(~strong(X)<~>~brave(X))))&
((~creative(susan))<=>((tall(mary)<~>humble(mary))))&
(![X]:((~old(X)|~generous(X))<=>... | ~strong(fred) | [] | null | 0 |
If mary is both wise and not creative then lucy is both not wise and curious and vice versa. If someone is not strong or humble then someone is both old and not funny. If someone is not old or not creative then alice is curious or generous. If someone is either tall or calm then someone is both kind and old and vice ve... | Lucy is not humble. | entailment | (((wise(mary)&~creative(mary)))<=>((~wise(lucy)&curious(lucy))))&
((?[X]:((~strong(X)|humble(X))))=>(?[X]:((old(X)&~funny(X)))))&
((?[X]:((~old(X)|~creative(X))))=>((curious(alice)|generous(alice))))&
((?[X]:((tall(X)<~>calm(X))))<=>(?[X]:((kind(X)&old(X)))))&
(![X]:((generous(X)|curious(X))<=>(~brave(X)<~>old(X))))&
(... | ~humble(lucy) | [
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1015276167953174050816733
% SZS output start Proof for 1015276167953174050816733
6. ! [X0] : ((~creative(X0) & strong(X0)) <=> (happy(X0) | ~happy(X0))) [input p5]
8. ! [X0] : (curious(X0) => strong(X0)) [input p7]
9. ! [X0] : ((~strong(X0) | patient(X0)) <=> curious(X0)) [input p8]
11. !... | 0 |
If someone is not funny then someone is patient or wise.
Everyone who is either curious or not funny is old or funny.
Everyone who is both not tall and not happy is not old.
If someone is either funny or not happy then someone is both not happy and not funny.
Everyone who is not rich or happy is either not patient or h... | Susan is generous. | contradiction | ((?[X]:(~funny(X)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((curious(X)<~>~funny(X))=>(old(X)|funny(X))))&
(![X]:((~tall(X)&~happy(X))=>~old(X)))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((~happy(X)&~funny(X)))))&
(![X]:((~rich(X)|happy(X))=>(~patient(X)<~>happy(X))))&
(![X]:((kind(X)|strong(X))=>(strong(X)<~>calm(X)))... | generous(susan) | [
"p1",
"p10",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3379377188667326973253985
% SZS output start Proof for 3379377188667326973253985
2. ! [X0] : ((curious(X0) <~> ~funny(X0)) => (funny(X0) | old(X0))) [input p1]
11. ! [X0] : ((~strong(X0) <~> ~quiet(X0)) => quiet(X0)) [input p10]
13. ! [X0] : (curious(X0) => (~generous(X0) & ~quiet(X0))) [... | 0 |
Everyone who is either not funny or not kind is both not happy and humble and vice versa. If someone is either quiet or not kind then someone is wise and vice versa. Everyone who is both rich and not old is both rich and strong. Everyone who is old is quiet or happy and vice versa. Everyone who is either not creative o... | Paul is not funny. | entailment | (![X]:((~funny(X)<~>~kind(X))<=>(~happy(X)&humble(X))))&
((?[X]:((quiet(X)<~>~kind(X))))<=>(?[X]:(wise(X))))&
(![X]:((rich(X)&~old(X))=>(rich(X)&strong(X))))&
(![X]:(old(X)<=>(quiet(X)|happy(X))))&
(![X]:((~creative(X)<~>curious(X))=>brave(X)))&
(![X]:((~wise(X)|kind(X))<=>(curious(X)&generous(X))))&
((?[X]:((rich(X)&k... | ~funny(paul) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8936918200141982911349933
% SZS output start Proof for 8936918200141982911349933
1. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> (humble(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((~creative(X0) <~> curious(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((kind(X0) | ~wise(X0)) <=> (generous(X0) & ... | 0 |
Everyone who is either patient or not quiet is either not strong or not patient and vice versa. Everyone who is calm or not old is not quiet and vice versa. If john is not funny or calm then susan is both happy and humble. Everyone who is both funny and not wise is either not curious or funny and vice versa. Everyone w... | Mary is not old. | contradiction | (![X]:((patient(X)<~>~quiet(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:((calm(X)|~old(X))<=>~quiet(X)))&
(((~funny(john)|calm(john)))=>((happy(susan)&humble(susan))))&
(![X]:((funny(X)&~wise(X))<=>(~curious(X)<~>funny(X))))&
(![X]:(~happy(X)<=>(~generous(X)&~calm(X))))&
(((~humble(mary)<~>~brave(mary)))=>(creative(lucy)... | ~old(mary) | [
"p0",
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7052445281948473815719276
% SZS output start Proof for 7052445281948473815719276
1. ! [X0] : ((patient(X0) <~> ~quiet(X0)) <=> (~strong(X0) <~> ~patient(X0))) [input p0]
2. ! [X0] : ((~old(X0) | calm(X0)) <=> ~quiet(X0)) [input p1]
10. ! [X0] : ((strong(X0) | ~funny(X0)) => quiet(X0)) [in... | 0 |
If fred is old or humble then susan is calm.
Everyone who is rich or not rich is not curious or curious and vice versa.
Everyone who is either rich or not tall is not tall and vice versa.
If susan is both curious and strong then someone is either not tall or generous and vice versa.
Everyone who is either not kind or k... | Fred is rich. | contradiction | (((old(fred)|humble(fred)))=>(calm(susan)))&
(![X]:((rich(X)|~rich(X))<=>(~curious(X)|curious(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~tall(X)))&
(((curious(susan)&strong(susan)))<=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:((~kind(X)<~>kind(X))=>(creative(X)<~>kind(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((patient... | rich(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9101110294869018742828591
% SZS output start Proof for 9101110294869018742828591
3. ! [X0] : ((rich(X0) <~> ~tall(X0)) <=> ~tall(X0)) [input p2]
25. rich(fred) [input hypothesis]
39. ! [X0] : ((((tall(X0) | ~rich(X0)) & (~tall(X0) | rich(X0))) | tall(X0)) & (~tall(X0) | ((rich(X0) | tall(... | 0 |
Everyone who is not funny or not happy is curious or not happy and vice versa.
Everyone who is either wise or strong is both not quiet and not wise and vice versa.
If alice is not curious then someone is rich or not brave.
Everyone who is both not old and not humble is wise.
Everyone who is happy or not happy is either... | Paul is not brave. | neutral | (![X]:((~funny(X)|~happy(X))<=>(curious(X)|~happy(X))))&
(![X]:((wise(X)<~>strong(X))<=>(~quiet(X)&~wise(X))))&
((~curious(alice))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((~old(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~happy(X))=>(generous(X)<~>~rich(X))))&
(((tall(john)|quiet(john)))=>(?[X]:((~wise(X)<~>~patient(X))... | ~brave(paul) | [] | null | 0 |
If someone is both not wise and not curious then mary is strong or rich.
If someone is both creative and not wise then someone is either not kind or not strong.
Everyone who is old or not humble is kind.
Everyone who is either not tall or rich is not calm and vice versa.
If lucy is both brave and not quiet then mary is... | Alice is not rich. | entailment | ((?[X]:((~wise(X)&~curious(X))))=>((strong(mary)|rich(mary))))&
((?[X]:((creative(X)&~wise(X))))=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:((old(X)|~humble(X))=>kind(X)))&
(![X]:((~tall(X)<~>rich(X))<=>~calm(X)))&
(((brave(lucy)&~quiet(lucy)))=>(strong(mary)))&
(((~wise(susan)|calm(susan)))=>(?[X]:((~kind(X)|~rich(X)))... | ~rich(alice) | [
"p7",
"p10",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 543731596003902225084433
% SZS output start Proof for 543731596003902225084433
8. ? [X0] : (~creative(X0) | humble(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p7]
11. ? [X0] : quiet(X0) => (~humble(alice) <~> wise(alice)) [input p10]
13. ~quiet(lucy) => (~strong(fred) & ~creative(fred)) ... | 0 |
Everyone who is not tall or happy is not rich. If john is strong then alice is quiet. If someone is not calm then someone is not creative. If someone is either not patient or tall then lucy is either not generous or kind. Everyone who is not humble or not happy is both curious and not tall. Everyone who is both quiet a... | Fred is not quiet. | entailment | (![X]:((~tall(X)|happy(X))=>~rich(X)))&
((strong(john))=>(quiet(alice)))&
((?[X]:(~calm(X)))=>(?[X]:(~creative(X))))&
((?[X]:((~patient(X)<~>tall(X))))=>((~generous(lucy)<~>kind(lucy))))&
(![X]:((~humble(X)|~happy(X))=>(curious(X)&~tall(X))))&
(![X]:((quiet(X)&curious(X))=>(creative(X)&~strong(X))))&
((?[X]:(humble(X))... | ~quiet(fred) | [
"p4",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3214003956014449300575182
% SZS output start Proof for 3214003956014449300575182
5. ! [X0] : ((~happy(X0) | ~humble(X0)) => (~tall(X0) & curious(X0))) [input p4]
10. tall(fred) <=> ? [X0] : happy(X0) [input p9]
12. ? [X0] : (quiet(X0) | ~happy(X0)) <=> ~happy(fred) [input p11]
22. humble(... | 0 |
If mary is both not quiet and kind then someone is funny or calm and vice versa.
Everyone who is not brave is not patient or tall and vice versa.
Everyone who is either not humble or not funny is creative or not humble and vice versa.
Everyone who is either not strong or not rich is not creative or not calm and vice ve... | Mary is not funny. | entailment | (((~quiet(mary)&kind(mary)))<=>(?[X]:((funny(X)|calm(X)))))&
(![X]:(~brave(X)<=>(~patient(X)|tall(X))))&
(![X]:((~humble(X)<~>~funny(X))<=>(creative(X)|~humble(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~creative(X)|~calm(X))))&
(((~old(paul)|old(paul)))=>(?[X]:((~rich(X)&old(X)))))&
((funny(mary))=>(?[X]:((~generous(X)&... | ~funny(mary) | [
"p0",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3968641771891544856120490
% SZS output start Proof for 3968641771891544856120490
1. (kind(mary) & ~quiet(mary)) <=> ? [X0] : (calm(X0) | funny(X0)) [input p0]
6. funny(mary) => ? [X0] : (calm(X0) & ~generous(X0)) [input p5]
10. ! [X0] : ((wise(X0) | funny(X0)) => quiet(X0)) [input p9]
25.... | 0 |
If someone is not generous or not old then paul is curious and vice versa.
Everyone who is either not creative or not patient is happy or kind.
Everyone who is both funny and not old is both not generous and not tall.
If someone is either patient or not brave then alice is either brave or patient and vice versa.
Everyo... | Mary is not humble. | entailment | ((?[X]:((~generous(X)|~old(X))))<=>(curious(paul)))&
(![X]:((~creative(X)<~>~patient(X))=>(happy(X)|kind(X))))&
(![X]:((funny(X)&~old(X))=>(~generous(X)&~tall(X))))&
((?[X]:((patient(X)<~>~brave(X))))<=>((brave(alice)<~>patient(alice))))&
(![X]:(creative(X)=>(~quiet(X)<~>~old(X))))&
((?[X]:((~tall(X)<~>~calm(X))))=>(?[... | ~humble(mary) | [
"p2",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1891052601555467348189492
% SZS output start Proof for 1891052601555467348189492
3. ! [X0] : ((~old(X0) & funny(X0)) => (~tall(X0) & ~generous(X0))) [input p2]
10. ! [X0] : ((rich(X0) | ~funny(X0)) <=> patient(X0)) [input p9]
16. ! [X0] : ((~patient(X0) & generous(X0)) <=> humble(X0)) [in... | 0 |
If someone is both not brave and kind then someone is not rich or not quiet.
Everyone who is both not tall and not kind is either not kind or not generous and vice versa.
If someone is either not brave or not quiet then mary is both old and not strong and vice versa.
If someone is both generous and funny then alice is ... | Lucy is humble. | contradiction | ((?[X]:((~brave(X)&kind(X))))=>(?[X]:((~rich(X)|~quiet(X)))))&
(![X]:((~tall(X)&~kind(X))<=>(~kind(X)<~>~generous(X))))&
((?[X]:((~brave(X)<~>~quiet(X))))<=>((old(mary)&~strong(mary))))&
((?[X]:((generous(X)&funny(X))))=>(~wise(alice)))&
((?[X]:((humble(X)&quiet(X))))=>(?[X]:(~generous(X))))&
(![X]:(~kind(X)=>(calm(X)|... | humble(lucy) | [
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1426651111221609882597921
% SZS output start Proof for 1426651111221609882597921
14. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (~humble(X0) <~> ~generous(X0))) [input p13]
15. ! [X0] : ((humble(X0) | ~rich(X0)) => ~wise(X0)) [input p14]
21. generous(lucy) [input p20]
25. humble(lucy) [input ... | 0 |
Everyone who is not quiet is not tall.
If mary is both not rich and not calm then lucy is either not rich or not kind and vice versa.
If john is kind or patient then someone is brave or strong and vice versa.
Everyone who is both not strong and rich is kind.
Everyone who is not quiet or old is both not tall and quiet a... | Lucy is calm. | entailment | (![X]:(~quiet(X)=>~tall(X)))&
(((~rich(mary)&~calm(mary)))<=>((~rich(lucy)<~>~kind(lucy))))&
(((kind(john)|patient(john)))<=>(?[X]:((brave(X)|strong(X)))))&
(![X]:((~strong(X)&rich(X))=>kind(X)))&
(![X]:((~quiet(X)|old(X))<=>(~tall(X)&quiet(X))))&
((?[X]:((strong(X)<~>~brave(X))))<=>(?[X]:((~old(X)&brave(X)))))&
(![X]:... | calm(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7338363545062572396837206
% SZS output start Proof for 7338363545062572396837206
13. ? [X0] : (~calm(X0) | ~old(X0)) => ? [X0] : (tall(X0) & ~tall(X0)) [input p12]
24. ~calm(lucy) [input hypothesis]
26. ? [X0] : (~calm(X0) | ~old(X0)) => ? [X1] : (tall(X1) & ~tall(X1)) [rectify 13]
38. ? ... | 0 |
Everyone who is strong is happy or not happy.
If paul is either not funny or not strong then someone is not patient or not rich.
If susan is wise or rich then susan is not humble.
Everyone who is not patient or tall is either not tall or brave.
Everyone who is not patient or not rich is creative or calm and vice versa.... | John is not curious. | neutral | (![X]:(strong(X)=>(happy(X)|~happy(X))))&
(((~funny(paul)<~>~strong(paul)))=>(?[X]:((~patient(X)|~rich(X)))))&
(((wise(susan)|rich(susan)))=>(~humble(susan)))&
(![X]:((~patient(X)|tall(X))=>(~tall(X)<~>brave(X))))&
(![X]:((~patient(X)|~rich(X))<=>(creative(X)|calm(X))))&
(![X]:((~calm(X)&happy(X))=>(wise(X)<~>curious(X... | ~curious(john) | [] | null | 0 |
If someone is both humble and kind then someone is happy or not wise and vice versa.
Everyone who is happy is both generous and not curious and vice versa.
If someone is both humble and happy then john is happy or funny and vice versa.
If john is both not humble and not curious then paul is not quiet and vice versa.
Ev... | John is strong. | entailment | ((?[X]:((humble(X)&kind(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:(happy(X)<=>(generous(X)&~curious(X))))&
((?[X]:((humble(X)&happy(X))))<=>((happy(john)|funny(john))))&
(((~humble(john)&~curious(john)))<=>(~quiet(paul)))&
(![X]:((~calm(X)|old(X))<=>(creative(X)|kind(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~quiet(X)|... | strong(john) | [
"p5",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2709633343452190409273263
% SZS output start Proof for 2709633343452190409273263
6. ! [X0] : ((strong(X0) <~> quiet(X0)) => (creative(X0) | ~quiet(X0))) [input p5]
17. ~creative(john) <~> funny(john) [input p16]
20. quiet(john) & ~funny(john) [input p19]
25. ~strong(john) [input hypothesi... | 0 |
Everyone who is both not patient and patient is happy or not brave and vice versa. If someone is not patient then john is not happy. If someone is both quiet and not curious then mary is not old. Everyone who is either quiet or calm is not strong. If mary is either not patient or generous then someone is either not hum... | John is not tall. | entailment | (![X]:((~patient(X)&patient(X))<=>(happy(X)|~brave(X))))&
((?[X]:(~patient(X)))=>(~happy(john)))&
((?[X]:((quiet(X)&~curious(X))))=>(~old(mary)))&
(![X]:((quiet(X)<~>calm(X))=>~strong(X)))&
(((~patient(mary)<~>generous(mary)))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(((rich(lucy)|~happy(lucy)))<=>(?[X]:((~creative(X)<~... | ~tall(john) | [
"p0",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 189684636970306145105531
% SZS output start Proof for 189684636970306145105531
1. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (~brave(X0) | happy(X0))) [input p0]
14. ! [X0] : (~curious(X0) => (~tall(X0) | ~wise(X0))) [input p13]
15. ! [X0] : ((wise(X0) | ~happy(X0)) <=> (~curious(X0) & wi... | 0 |
If someone is not creative or not wise then someone is both not funny and not humble and vice versa. If someone is either wise or not rich then susan is old. Everyone who is old is both not patient and not funny and vice versa. If someone is either quiet or not quiet then alice is happy. If john is either humble or bra... | Alice is not happy. | contradiction | ((?[X]:((~creative(X)|~wise(X))))<=>(?[X]:((~funny(X)&~humble(X)))))&
((?[X]:((wise(X)<~>~rich(X))))=>(old(susan)))&
(![X]:(old(X)<=>(~patient(X)&~funny(X))))&
((?[X]:((quiet(X)<~>~quiet(X))))=>(happy(alice)))&
(((humble(john)<~>brave(john)))<=>(?[X]:((~wise(X)|patient(X)))))&
((?[X]:(tall(X)))=>((tall(fred)|calm(fred)... | ~happy(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8044649248665697028592009
% SZS output start Proof for 8044649248665697028592009
4. ? [X0] : (quiet(X0) <~> ~quiet(X0)) => happy(alice) [input p3]
24. ~happy(alice) [input hypothesis]
30. happy(alice) | ! [X0] : (quiet(X0) <=> ~quiet(X0)) [ennf transformation 4]
47. happy(alice) | ! [X0] ... | 0 |
If lucy is creative then someone is either not kind or not rich.
If someone is patient then someone is either patient or funny and vice versa.
Everyone who is not funny or not kind is either curious or strong and vice versa.
Everyone who is both quiet and funny is not tall or not rich.
Everyone who is both happy and wi... | John is not funny. | entailment | ((creative(lucy))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:(patient(X)))<=>(?[X]:((patient(X)<~>funny(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(curious(X)<~>strong(X))))&
(![X]:((quiet(X)&funny(X))=>(~tall(X)|~rich(X))))&
(![X]:((happy(X)&wise(X))=>(kind(X)&humble(X))))&
(![X]:((happy(X)&creative(X))=>(~rich(X)&tall(X))))... | ~funny(john) | [
"p4",
"p8",
"p10",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4728818379828846675398056
% SZS output start Proof for 4728818379828846675398056
5. ! [X0] : ((wise(X0) & happy(X0)) => (humble(X0) & kind(X0))) [input p4]
9. ! [X0] : ((~creative(X0) & happy(X0)) <=> (calm(X0) | generous(X0))) [input p8]
11. ! [X0] : ((calm(X0) | ~curious(X0)) <=> ~humbl... | 0 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is either patient or rich is not happy or kind.
Everyone who is either not rich or happy is either brave or not patient and vice versa.
Everyone who is both not wise and not brave is happy and vice versa.
Everyone who is both no... | Fred is calm. | entailment | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~rich(X)<~>happy(X))<=>(brave(X)<~>~patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|... | calm(fred) | [
"p0",
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 116679426599071236687213
% SZS output start Proof for 116679426599071236687213
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~funny(X0) & kind(X0))) [input p0]
6. ! [X0] : (generous(X0) => wise(X0)) [input p5]
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (strong(X0) | quiet(X0))) [input p6]
8.... | 0 |
If someone is either quiet or patient then susan is quiet and vice versa.
If susan is wise then susan is either funny or not old and vice versa.
If alice is both not curious and strong then mary is calm or tall and vice versa.
If alice is quiet then someone is both not rich and not funny.
If fred is either not generous... | Susan is funny. | entailment | ((?[X]:((quiet(X)<~>patient(X))))<=>(quiet(susan)))&
((wise(susan))<=>((funny(susan)<~>~old(susan))))&
(((~curious(alice)&strong(alice)))<=>((calm(mary)|tall(mary))))&
((quiet(alice))=>(?[X]:((~rich(X)&~funny(X)))))&
(((~generous(fred)<~>~strong(fred)))<=>(?[X]:((quiet(X)&~brave(X)))))&
((?[X]:(~creative(X)))<=>((~crea... | funny(susan) | [
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5665503141970134725392966
% SZS output start Proof for 5665503141970134725392966
7. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (funny(X0) & curious(X0))) [input p6]
15. ! [X0] : ((~calm(X0) | ~old(X0)) => old(X0)) [input p14]
16. ! [X0] : (~old(X0) <=> (patient(X0) <~> kind(X0))) [input p1... | 0 |
Everyone who is quiet is either quiet or not kind.
Everyone who is kind or not kind is both calm and not patient and vice versa.
If john is both not patient and not creative then fred is wise.
Everyone who is not humble is not creative or curious.
If john is not happy then someone is either not wise or not old and vice... | Fred is not happy. | contradiction | (![X]:(quiet(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((kind(X)|~kind(X))<=>(calm(X)&~patient(X))))&
(((~patient(john)&~creative(john)))=>(wise(fred)))&
(![X]:(~humble(X)=>(~creative(X)|curious(X))))&
((~happy(john))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((rich(X)<~>happy(X))=>(happy(X)&funny(X))))&
(![X]:((creative(X)|hap... | ~happy(fred) | [
"p1",
"p2",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1190622903114644258168002
% SZS output start Proof for 1190622903114644258168002
2. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~patient(X0) & calm(X0))) [input p1]
3. (~creative(john) & ~patient(john)) => wise(fred) [input p2]
7. ! [X0] : ((happy(X0) | creative(X0)) => (~brave(X0) <~> ~creativ... | 0 |
Everyone who is both not curious and happy is brave and vice versa.
Everyone who is both not patient and rich is not calm or creative and vice versa.
Everyone who is creative or calm is both funny and not kind and vice versa.
Everyone who is strong is both brave and calm and vice versa.
If susan is either old or not fu... | Alice is not humble. | entailment | (![X]:((~curious(X)&happy(X))<=>brave(X)))&
(![X]:((~patient(X)&rich(X))<=>(~calm(X)|creative(X))))&
(![X]:((creative(X)|calm(X))<=>(funny(X)&~kind(X))))&
(![X]:(strong(X)<=>(brave(X)&calm(X))))&
(((old(susan)<~>~funny(susan)))=>(~curious(alice)))&
((?[X]:((~strong(X)&~tall(X))))<=>((curious(alice)&quiet(alice))))&
((?... | ~humble(alice) | [
"p2",
"p3",
"p5",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2314421947001452003338993
% SZS output start Proof for 2314421947001452003338993
3. ! [X0] : ((calm(X0) | creative(X0)) <=> (~kind(X0) & funny(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> (calm(X0) & brave(X0))) [input p3]
6. ? [X0] : (~tall(X0) & ~strong(X0)) <=> (quiet(alice) & curious(... | 0 |
Everyone who is either funny or not curious is either not tall or generous and vice versa.
If someone is kind then lucy is tall and vice versa.
Everyone who is both not rich and not generous is wise or not old.
If lucy is both calm and old then someone is either not brave or not old and vice versa.
If someone is either... | Lucy is tall. | neutral | (![X]:((funny(X)<~>~curious(X))<=>(~tall(X)<~>generous(X))))&
((?[X]:(kind(X)))<=>(tall(lucy)))&
(![X]:((~rich(X)&~generous(X))=>(wise(X)|~old(X))))&
(((calm(lucy)&old(lucy)))<=>(?[X]:((~brave(X)<~>~old(X)))))&
((?[X]:((~tall(X)<~>old(X))))=>(?[X]:((tall(X)&~rich(X)))))&
(![X]:((quiet(X)<~>rich(X))=>(~brave(X)|tall(X))... | tall(lucy) | [] | null | 0 |
Everyone who is both calm and not kind is both not old and not patient.
If someone is not curious or happy then someone is curious.
Everyone who is either not humble or not patient is humble and vice versa.
Everyone who is either not patient or not rich is not patient or wise and vice versa.
Everyone who is rich or kin... | Susan is not humble. | contradiction | (![X]:((calm(X)&~kind(X))=>(~old(X)&~patient(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:(curious(X))))&
(![X]:((~humble(X)<~>~patient(X))<=>humble(X)))&
(![X]:((~patient(X)<~>~rich(X))<=>(~patient(X)|wise(X))))&
(![X]:((rich(X)|kind(X))<=>(tall(X)<~>funny(X))))&
((?[X]:(quiet(X)))=>((curious(paul)&rich(paul))))&
(!... | ~humble(susan) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4435673739064069662488847
% SZS output start Proof for 4435673739064069662488847
3. ! [X0] : ((~humble(X0) <~> ~patient(X0)) <=> humble(X0)) [input p2]
11. ! [X0] : ((~curious(X0) <~> curious(X0)) => (patient(X0) | humble(X0))) [input p10]
23. ~humble(susan) [input hypothesis]
34. ! [X0] ... | 0 |
If fred is either not calm or not curious then alice is strong or not funny and vice versa. Everyone who is not patient is not quiet or old. Everyone who is strong is happy or old. If lucy is not calm or not humble then john is both not happy and patient. If susan is not rich then someone is either quiet or not old and... | Lucy is curious. | contradiction | (((~calm(fred)<~>~curious(fred)))<=>((strong(alice)|~funny(alice))))&
(![X]:(~patient(X)=>(~quiet(X)|old(X))))&
(![X]:(strong(X)=>(happy(X)|old(X))))&
(((~calm(lucy)|~humble(lucy)))=>((~happy(john)&patient(john))))&
((~rich(susan))<=>(?[X]:((quiet(X)<~>~old(X)))))&
((?[X]:((~humble(X)<~>humble(X))))<=>((wise(paul)|quie... | curious(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6219638133610874890953175
% SZS output start Proof for 6219638133610874890953175
7. ! [X0] : ((curious(X0) | ~kind(X0)) => (~curious(X0) & quiet(X0))) [input p6]
25. curious(lucy) [input hypothesis]
34. ! [X0] : ((~curious(X0) & quiet(X0)) | (~curious(X0) & kind(X0))) [ennf transformation... | 0 |
If someone is funny or old then fred is both not happy and funny and vice versa. If lucy is both not creative and wise then lucy is not patient. If someone is not curious then john is generous. If someone is wise or not humble then someone is tall or not humble and vice versa. Everyone who is not humble is either happy... | Susan is patient. | contradiction | ((?[X]:((funny(X)|old(X))))<=>((~happy(fred)&funny(fred))))&
(((~creative(lucy)&wise(lucy)))=>(~patient(lucy)))&
((?[X]:(~curious(X)))=>(generous(john)))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:(~humble(X)<=>(happy(X)<~>humble(X))))&
(((~calm(john)<~>calm(john)))=>((~humble(lucy)&patient... | patient(susan) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4811157344809001884692727
% SZS output start Proof for 4811157344809001884692727
7. ! [X0] : ((kind(X0) | wise(X0)) => ~patient(X0)) [input p6]
19. kind(susan) & ~creative(susan) [input p18]
22. patient(susan) [input hypothesis]
29. ! [X0] : (~patient(X0) | (~kind(X0) & ~wise(X0))) [ennf ... | 0 |
Everyone who is not brave is either strong or not curious and vice versa.
Everyone who is patient is either wise or not calm.
Everyone who is calm is not brave or humble.
Everyone who is both not brave and funny is both wise and not kind.
If someone is either old or brave then someone is either not wise or brave.
If so... | Lucy is not wise. | entailment | (![X]:(~brave(X)<=>(strong(X)<~>~curious(X))))&
(![X]:(patient(X)=>(wise(X)<~>~calm(X))))&
(![X]:(calm(X)=>(~brave(X)|humble(X))))&
(![X]:((~brave(X)&funny(X))=>(wise(X)&~kind(X))))&
((?[X]:((old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~happy(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:... | ~wise(lucy) | [
"p0",
"p1",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7479007761530496700755138
% SZS output start Proof for 7479007761530496700755138
1. ! [X0] : (~brave(X0) <=> (strong(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : (patient(X0) => (wise(X0) <~> ~calm(X0))) [input p1]
10. ! [X0] : ((patient(X0) | ~strong(X0)) => (~quiet(X0) & ~strong(X0))) ... | 0 |
Everyone who is either not curious or tall is either not strong or not calm and vice versa.
If someone is both patient and brave then someone is both not calm and not old.
Everyone who is either creative or tall is creative or not calm and vice versa.
Everyone who is calm is not brave or not patient and vice versa.
If ... | Paul is not rich. | neutral | (![X]:((~curious(X)<~>tall(X))<=>(~strong(X)<~>~calm(X))))&
((?[X]:((patient(X)&brave(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>tall(X))<=>(creative(X)|~calm(X))))&
(![X]:(calm(X)<=>(~brave(X)|~patient(X))))&
((patient(john))=>((~curious(john)&quiet(john))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((~w... | ~rich(paul) | [] | null | 0 |
If alice is creative then lucy is brave or not patient.
Everyone who is both old and not quiet is either brave or not old.
Everyone who is not kind is not curious.
Everyone who is either not curious or brave is creative.
If someone is both not rich and not generous then someone is not calm.
If john is both creative and... | John is creative. | contradiction | ((creative(alice))=>((brave(lucy)|~patient(lucy))))&
(![X]:((old(X)&~quiet(X))=>(brave(X)<~>~old(X))))&
(![X]:(~kind(X)=>~curious(X)))&
(![X]:((~curious(X)<~>brave(X))=>creative(X)))&
((?[X]:((~rich(X)&~generous(X))))=>(?[X]:(~calm(X))))&
(((creative(john)&curious(john)))<=>((kind(lucy)&wise(lucy))))&
(![X]:((old(X)&~s... | creative(john) | [
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3965728998394649045275853
% SZS output start Proof for 3965728998394649045275853
5. ? [X0] : (~generous(X0) & ~rich(X0)) => ? [X0] : ~calm(X0) [input p4]
7. ! [X0] : ((~strong(X0) & old(X0)) <=> (funny(X0) | brave(X0))) [input p6]
8. ! [X0] : ((creative(X0) | happy(X0)) <=> ~generous(X0))... | 0 |
Everyone who is generous or creative is either old or not curious.
If alice is both not brave and funny then someone is either not rich or brave and vice versa.
Everyone who is both old and not kind is quiet or wise.
Everyone who is humble or curious is both not calm and old and vice versa.
If fred is either happy or n... | John is wise. | contradiction | (![X]:((generous(X)|creative(X))=>(old(X)<~>~curious(X))))&
(((~brave(alice)&funny(alice)))<=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|wise(X))))&
(![X]:((humble(X)|curious(X))<=>(~calm(X)&old(X))))&
(((happy(fred)<~>~patient(fred)))=>((brave(fred)<~>~strong(fred))))&
(![X]:((old(X)<~>~gener... | wise(john) | [
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1877032983512400128622458
% SZS output start Proof for 1877032983512400128622458
8. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (calm(X0) | old(X0))) [input p7]
10. ! [X0] : ((old(X0) <~> ~happy(X0)) => (~old(X0) & quiet(X0))) [input p9]
11. ! [X0] : ((old(X0) <~> ~old(X0)) => (~happy(X0) ... | 0 |
If someone is not old then someone is either not old or not rich and vice versa.
Everyone who is either tall or brave is both not humble and humble and vice versa.
If mary is either humble or kind then someone is both humble and generous.
If someone is not funny then paul is either not calm or not tall.
If fred is eith... | Fred is not old. | neutral | ((?[X]:(~old(X)))<=>(?[X]:((~old(X)<~>~rich(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~humble(X)&humble(X))))&
(((humble(mary)<~>kind(mary)))=>(?[X]:((humble(X)&generous(X)))))&
((?[X]:(~funny(X)))=>((~calm(paul)<~>~tall(paul))))&
(((brave(fred)<~>happy(fred)))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:(funny(X)<=>(~fun... | ~old(fred) | [] | null | 0 |
Everyone who is either funny or not humble is either strong or not strong and vice versa.
If susan is either happy or old then lucy is both not curious and not tall.
If someone is both generous and creative then john is not calm or not rich.
Everyone who is either not happy or generous is generous and vice versa.
Every... | Alice is not humble. | contradiction | (![X]:((funny(X)<~>~humble(X))<=>(strong(X)<~>~strong(X))))&
(((happy(susan)<~>old(susan)))=>((~curious(lucy)&~tall(lucy))))&
((?[X]:((generous(X)&creative(X))))=>((~calm(john)|~rich(john))))&
(![X]:((~happy(X)<~>generous(X))<=>generous(X)))&
(![X]:((tall(X)&wise(X))<=>(generous(X)|happy(X))))&
(![X]:((brave(X)|~tall(X... | ~humble(alice) | [
"p0",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4815212591283377451861460
% SZS output start Proof for 4815212591283377451861460
1. ! [X0] : ((funny(X0) <~> ~humble(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p0]
4. ! [X0] : ((~happy(X0) <~> generous(X0)) <=> generous(X0)) [input p3]
5. ! [X0] : ((wise(X0) & tall(X0)) <=> (happy(X0) ... | 0 |
Everyone who is not kind is not creative and vice versa.
If someone is either strong or not curious then someone is not kind.
If alice is quiet then paul is either not generous or tall and vice versa.
If alice is tall then someone is patient or not rich.
Everyone who is either tall or creative is both not funny and not... | John is tall. | contradiction | (![X]:(~kind(X)<=>~creative(X)))&
((?[X]:((strong(X)<~>~curious(X))))=>(?[X]:(~kind(X))))&
((quiet(alice))<=>((~generous(paul)<~>tall(paul))))&
((tall(alice))=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:((tall(X)<~>creative(X))<=>(~funny(X)&~rich(X))))&
((?[X]:((~generous(X)&generous(X))))=>(?[X]:((~happy(X)&patient(X)))))... | tall(john) | [
"p0",
"p4",
"p6",
"p14",
"p15",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 395912146290539276250507
% SZS output start Proof for 395912146290539276250507
1. ! [X0] : (~kind(X0) <=> ~creative(X0)) [input p0]
5. ! [X0] : ((tall(X0) <~> creative(X0)) <=> (~rich(X0) & ~funny(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~curious(X0)) <=> brave(X0)) [input p6]
15. ~calm(... | 0 |
If someone is tall or happy then mary is both happy and generous and vice versa.
If lucy is funny or not curious then lucy is funny and vice versa.
Everyone who is both not quiet and not generous is not patient and vice versa.
Everyone who is humble is not wise and vice versa.
If someone is humble or not quiet then som... | Alice is not patient. | neutral | ((?[X]:((tall(X)|happy(X))))<=>((happy(mary)&generous(mary))))&
(((funny(lucy)|~curious(lucy)))<=>(funny(lucy)))&
(![X]:((~quiet(X)&~generous(X))<=>~patient(X)))&
(![X]:(humble(X)<=>~wise(X)))&
((?[X]:((humble(X)|~quiet(X))))=>(?[X]:(~happy(X))))&
(![X]:(~old(X)=>(happy(X)&~happy(X))))&
(![X]:(~happy(X)<=>(happy(X)|bra... | ~patient(alice) | [] | null | 0 |
Everyone who is either humble or strong is either not happy or happy and vice versa.
If paul is not brave then lucy is both brave and not generous.
Everyone who is both not humble and patient is both funny and brave and vice versa.
Everyone who is both not happy and old is old or not funny and vice versa.
If fred is hu... | Mary is tall. | entailment | (![X]:((humble(X)<~>strong(X))<=>(~happy(X)<~>happy(X))))&
((~brave(paul))=>((brave(lucy)&~generous(lucy))))&
(![X]:((~humble(X)&patient(X))<=>(funny(X)&brave(X))))&
(![X]:((~happy(X)&old(X))<=>(old(X)|~funny(X))))&
(((humble(fred)|creative(fred)))<=>(?[X]:((~patient(X)<~>~calm(X)))))&
((?[X]:(~brave(X)))=>(old(lucy)))... | tall(mary) | [
"p0",
"p5",
"p10",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2450908345871300606267463
% SZS output start Proof for 2450908345871300606267463
1. ! [X0] : ((humble(X0) <~> strong(X0)) <=> (~happy(X0) <~> happy(X0))) [input p0]
6. ? [X0] : ~brave(X0) => old(lucy) [input p5]
11. (~old(lucy) <~> ~strong(lucy)) <=> ~tall(mary) [input p10]
18. ? [X0] : ~... | 0 |
Everyone who is both not wise and not tall is either kind or curious and vice versa.
If susan is generous then someone is happy or creative.
Everyone who is either not funny or quiet is both creative and quiet and vice versa.
If someone is not curious then john is either brave or not calm and vice versa.
Everyone who i... | John is generous. | entailment | (![X]:((~wise(X)&~tall(X))<=>(kind(X)<~>curious(X))))&
((generous(susan))=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((~funny(X)<~>quiet(X))<=>(creative(X)&quiet(X))))&
((?[X]:(~curious(X)))<=>((brave(john)<~>~calm(john))))&
(![X]:((creative(X)<~>~strong(X))<=>(~strong(X)|~patient(X))))&
(((curious(alice)&~creative(alice... | generous(john) | [
"p4",
"p7",
"p8",
"p11",
"p16",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4642489834620508953297820
% SZS output start Proof for 4642489834620508953297820
5. ! [X0] : ((creative(X0) <~> ~strong(X0)) <=> (~patient(X0) | ~strong(X0))) [input p4]
8. (quiet(alice) <~> strong(alice)) => (~old(john) & patient(john)) [input p7]
9. ? [X0] : (~humble(X0) <~> curious(X0)... | 0 |
If lucy is both humble and not rich then fred is either brave or not patient.
If mary is creative then mary is not old.
Everyone who is brave or not tall is either quiet or not brave and vice versa.
Everyone who is both creative and calm is not curious or not kind.
Everyone who is not kind is both not happy and not cre... | Fred is not creative. | contradiction | (((humble(lucy)&~rich(lucy)))=>((brave(fred)<~>~patient(fred))))&
((creative(mary))=>(~old(mary)))&
(![X]:((brave(X)|~tall(X))<=>(quiet(X)<~>~brave(X))))&
(![X]:((creative(X)&calm(X))=>(~curious(X)|~kind(X))))&
(![X]:(~kind(X)=>(~happy(X)&~creative(X))))&
((?[X]:((~quiet(X)<~>calm(X))))=>(funny(susan)))&
((?[X]:(old(X)... | ~creative(fred) | [
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1038596975620938871711630
% SZS output start Proof for 1038596975620938871711630
7. ? [X0] : old(X0) => (kind(fred) & ~brave(fred)) [input p6]
9. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~creative(X0) | ~rich(X0))) [input p8]
16. ! [X0] : ((old(X0) & ~funny(X0)) <=> ~creative(X0)) [input p15... | 0 |
Everyone who is not patient or not wise is tall or not funny. Everyone who is both creative and happy is either not humble or patient. If someone is wise or strong then someone is not tall or quiet and vice versa. If someone is rich then paul is either rich or tall. Everyone who is old or curious is calm or funny and v... | Susan is humble. | neutral | (![X]:((~patient(X)|~wise(X))=>(tall(X)|~funny(X))))&
(![X]:((creative(X)&happy(X))=>(~humble(X)<~>patient(X))))&
((?[X]:((wise(X)|strong(X))))<=>(?[X]:((~tall(X)|quiet(X)))))&
((?[X]:(rich(X)))=>((rich(paul)<~>tall(paul))))&
(![X]:((old(X)|curious(X))<=>(calm(X)|funny(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)<~... | humble(susan) | [] | null | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is either not old or funny then someone is either rich or not curious and vice versa.
Everyone who is not curious or patient is either happy or funny and vice versa.
Everyone who is no... | Susan is not humble. | contradiction | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)<~>funny(X))))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~curious(X)|patient(X))<=>(happy(X)<~>funny(X))))&
(![X]:(~generous(X)<=>(curious(X)&~old(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:... | ~humble(susan) | [
"p0",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3016461902075915625708672
% SZS output start Proof for 3016461902075915625708672
1. ! [X0] : (~calm(X0) <=> humble(X0)) [input p0]
5. ! [X0] : (~generous(X0) <=> (~old(X0) & curious(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (calm(X0) <~> generous(X0))) [input p6]
12. ! ... | 0 |
Everyone who is either happy or kind is both not curious and wise and vice versa. Everyone who is generous or funny is rich or happy. Everyone who is patient is curious or happy and vice versa. If alice is tall or not humble then someone is wise or old. If alice is not calm then paul is either not happy or tall. Everyo... | Mary is not curious. | contradiction | (![X]:((happy(X)<~>kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((generous(X)|funny(X))=>(rich(X)|happy(X))))&
(![X]:(patient(X)<=>(curious(X)|happy(X))))&
(((tall(alice)|~humble(alice)))=>(?[X]:((wise(X)|old(X)))))&
((~calm(alice))=>((~happy(paul)<~>tall(paul))))&
(![X]:((~old(X)&~tall(X))<=>~patient(X)))&
((?[X]:(~wise(... | ~curious(mary) | [
"p5",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 644639781850553119054673
% SZS output start Proof for 644639781850553119054673
6. ! [X0] : ((~tall(X0) & ~old(X0)) <=> ~patient(X0)) [input p5]
9. ! [X0] : ((quiet(X0) & curious(X0)) <=> patient(X0)) [input p8]
17. tall(mary) & old(mary) [input p16]
24. ~curious(mary) [input hypothesis]
4... | 0 |
Everyone who is both not curious and humble is not old. If fred is not old then mary is either tall or not funny and vice versa. Everyone who is patient or generous is not calm and vice versa. Everyone who is either kind or not happy is both tall and curious and vice versa. If someone is both not patient and not strong... | Susan is rich. | contradiction | (![X]:((~curious(X)&humble(X))=>~old(X)))&
((~old(fred))<=>((tall(mary)<~>~funny(mary))))&
(![X]:((patient(X)|generous(X))<=>~calm(X)))&
(![X]:((kind(X)<~>~happy(X))<=>(tall(X)&curious(X))))&
((?[X]:((~patient(X)&~strong(X))))<=>(?[X]:((calm(X)&rich(X)))))&
(![X]:(~humble(X)<=>(~old(X)|rich(X))))&
((?[X]:((old(X)<~>gen... | rich(susan) | [
"p5",
"p6",
"p7",
"p9",
"p10",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5551090719082489977350868
% SZS output start Proof for 5551090719082489977350868
6. ! [X0] : (~humble(X0) <=> (rich(X0) | ~old(X0))) [input p5]
7. ? [X0] : (old(X0) <~> generous(X0)) <=> (kind(lucy) & humble(lucy)) [input p6]
8. ! [X0] : ((creative(X0) & ~happy(X0)) <=> brave(X0)) [input ... | 0 |
If someone is not brave or not calm then someone is not quiet and vice versa. If lucy is either curious or strong then someone is not quiet. Everyone who is brave or calm is tall. Everyone who is both generous and happy is not tall or calm and vice versa. If mary is both kind and happy then susan is both not brave and ... | Mary is not quiet. | entailment | ((?[X]:((~brave(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((brave(X)|calm(X))=>tall(X)))&
(![X]:((generous(X)&happy(X))<=>(~tall(X)|calm(X))))&
(((kind(mary)&happy(mary)))<=>((~brave(susan)&~old(susan))))&
(((humble(susan)|~kind(susan)))<=>(?[X]:((patient(X)|wis... | ~quiet(mary) | [
"p3",
"p6",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5865285041903247981262183
% SZS output start Proof for 5865285041903247981262183
4. ! [X0] : ((happy(X0) & generous(X0)) <=> (calm(X0) | ~tall(X0))) [input p3]
7. ! [X0] : (~humble(X0) <=> (~happy(X0) | curious(X0))) [input p6]
13. ! [X0] : ((wise(X0) & ~humble(X0)) <=> (tall(X0) <~> gene... | 0 |
Everyone who is both strong and not happy is kind and vice versa.
Everyone who is not quiet or not creative is either kind or calm and vice versa.
Everyone who is both calm and not kind is not tall or strong.
If someone is both not patient and quiet then someone is not brave or tall.
If lucy is both not strong and brav... | John is brave. | neutral | (![X]:((strong(X)&~happy(X))<=>kind(X)))&
(![X]:((~quiet(X)|~creative(X))<=>(kind(X)<~>calm(X))))&
(![X]:((calm(X)&~kind(X))=>(~tall(X)|strong(X))))&
((?[X]:((~patient(X)&quiet(X))))=>(?[X]:((~brave(X)|tall(X)))))&
(((~strong(lucy)&brave(lucy)))=>((old(alice)<~>tall(alice))))&
(((tall(lucy)&~funny(lucy)))<=>((kind(john... | brave(john) | [] | null | 0 |
Everyone who is either not rich or old is both humble and curious.
Everyone who is curious or not funny is both generous and curious.
If someone is either quiet or humble then someone is either tall or strong.
Everyone who is both not happy and not patient is wise.
If someone is strong then someone is generous or not c... | Alice is curious. | entailment | (![X]:((~rich(X)<~>old(X))=>(humble(X)&curious(X))))&
(![X]:((curious(X)|~funny(X))=>(generous(X)&curious(X))))&
((?[X]:((quiet(X)<~>humble(X))))=>(?[X]:((tall(X)<~>strong(X)))))&
(![X]:((~happy(X)&~patient(X))=>wise(X)))&
((?[X]:(strong(X)))<=>(?[X]:((generous(X)|~calm(X)))))&
(![X]:(~calm(X)<=>creative(X)))&
(![X]:((... | curious(alice) | [
"p1",
"p14",
"p15",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3157811911061353051144150
% SZS output start Proof for 3157811911061353051144150
2. ! [X0] : ((~funny(X0) | curious(X0)) => (curious(X0) & generous(X0))) [input p1]
15. (~creative(fred) & generous(fred)) <=> ? [X0] : (~brave(X0) & funny(X0)) [input p14]
16. ! [X0] : ((~kind(X0) <~> ~gener... | 0 |
Everyone who is either not strong or happy is either not strong or tall and vice versa.
Everyone who is both creative and not funny is calm and vice versa.
If paul is old or not funny then lucy is not funny or not tall.
If paul is either not patient or strong then fred is patient.
If fred is both brave and not quiet th... | Lucy is tall. | entailment | (![X]:((~strong(X)<~>happy(X))<=>(~strong(X)<~>tall(X))))&
(![X]:((creative(X)&~funny(X))<=>calm(X)))&
(((old(paul)|~funny(paul)))=>((~funny(lucy)|~tall(lucy))))&
(((~patient(paul)<~>strong(paul)))=>(patient(fred)))&
(((brave(fred)&~quiet(fred)))=>(?[X]:(humble(X))))&
((~quiet(paul))<=>(?[X]:((strong(X)|rich(X)))))&
((... | tall(lucy) | [
"p0",
"p1",
"p8",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3222790732773115964882409
% SZS output start Proof for 3222790732773115964882409
1. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (~strong(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((~funny(X0) & creative(X0)) <=> calm(X0)) [input p1]
9. ! [X0] : ((~generous(X0) | ~kind(X0)) => (~quiet(X0) & ... | 0 |
Everyone who is not happy is not generous and vice versa. If john is not brave or not creative then someone is both creative and not wise. Everyone who is either not quiet or patient is either not calm or wise and vice versa. If alice is either quiet or creative then someone is both quiet and tall and vice versa. Every... | Paul is not kind. | neutral | (![X]:(~happy(X)<=>~generous(X)))&
(((~brave(john)|~creative(john)))=>(?[X]:((creative(X)&~wise(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(~calm(X)<~>wise(X))))&
(((quiet(alice)<~>creative(alice)))<=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((~generous(X)&brave(X))<=>(patient(X)&humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>... | ~kind(paul) | [] | null | 0 |
Everyone who is not tall or wise is both not generous and curious. If someone is not old then someone is both creative and not rich and vice versa. If someone is both not kind and humble then someone is either not kind or not calm and vice versa. Everyone who is not rich or generous is both not tall and not funny. If s... | Lucy is not wise. | contradiction | (![X]:((~tall(X)|wise(X))=>(~generous(X)&curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((creative(X)&~rich(X)))))&
((?[X]:((~kind(X)&humble(X))))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:((~rich(X)|generous(X))=>(~tall(X)&~funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~creative(X)&funny(X)))))&
(![X]:((wise(X)&~tall(X))<=>(wise(... | ~wise(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 686515763289490336313392
% SZS output start Proof for 686515763289490336313392
1. ! [X0] : ((wise(X0) | ~tall(X0)) => (curious(X0) & ~generous(X0))) [input p0]
2. ? [X0] : ~old(X0) <=> ? [X0] : (~rich(X0) & creative(X0)) [input p1]
4. ! [X0] : ((generous(X0) | ~rich(X0)) => (~funny(X0) & ... | 0 |
If lucy is either rich or not quiet then someone is both funny and not old. If someone is both not creative and not rich then someone is brave or tall. If someone is kind or strong then susan is not brave and vice versa. Everyone who is both not strong and quiet is either not tall or not curious. If susan is both not h... | Lucy is curious. | contradiction | (((rich(lucy)<~>~quiet(lucy)))=>(?[X]:((funny(X)&~old(X)))))&
((?[X]:((~creative(X)&~rich(X))))=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((kind(X)|strong(X))))<=>(~brave(susan)))&
(![X]:((~strong(X)&quiet(X))=>(~tall(X)<~>~curious(X))))&
(((~happy(susan)&funny(susan)))<=>(?[X]:(curious(X))))&
(![X]:((~old(X)|~generous(X))... | curious(lucy) | [
"p2",
"p4",
"p5",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3930464758113387558897088
% SZS output start Proof for 3930464758113387558897088
3. ? [X0] : (strong(X0) | kind(X0)) <=> ~brave(susan) [input p2]
5. (funny(susan) & ~happy(susan)) <=> ? [X0] : curious(X0) [input p4]
6. ! [X0] : ((~generous(X0) | ~old(X0)) => (calm(X0) & ~creative(X0))) [i... | 0 |
If someone is either not old or not quiet then someone is rich or old and vice versa.
If someone is humble then lucy is old and vice versa.
Everyone who is either not kind or not rich is both not rich and strong.
If someone is not calm then someone is either calm or old and vice versa.
Everyone who is not creative is n... | Paul is not wise. | neutral | ((?[X]:((~old(X)<~>~quiet(X))))<=>(?[X]:((rich(X)|old(X)))))&
((?[X]:(humble(X)))<=>(old(lucy)))&
(![X]:((~kind(X)<~>~rich(X))=>(~rich(X)&strong(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((calm(X)<~>old(X)))))&
(![X]:(~creative(X)<=>~humble(X)))&
((~kind(mary))=>((~curious(mary)<~>~funny(mary))))&
((?[X]:((~happy(X)<~>~calm(X)... | ~wise(paul) | [] | null | 0 |
If someone is not rich or not creative then someone is quiet or not rich. Everyone who is both not strong and creative is both not funny and not happy. If someone is not quiet or creative then john is patient and vice versa. Everyone who is not rich is wise. Everyone who is either not funny or not strong is not wise. E... | John is not strong. | neutral | ((?[X]:((~rich(X)|~creative(X))))=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:((~strong(X)&creative(X))=>(~funny(X)&~happy(X))))&
((?[X]:((~quiet(X)|creative(X))))<=>(patient(john)))&
(![X]:(~rich(X)=>wise(X)))&
(![X]:((~funny(X)<~>~strong(X))=>~wise(X)))&
(![X]:(~quiet(X)=>(~wise(X)<~>patient(X))))&
(![X]:(~rich(X)<=>funny(... | ~strong(john) | [] | null | 0 |
If paul is not creative or not old then someone is tall and vice versa.
Everyone who is not strong is kind or not happy.
Everyone who is either patient or calm is either not old or not tall and vice versa.
Everyone who is both strong and not generous is both not funny and not calm and vice versa.
Everyone who is not cu... | John is not brave. | neutral | (((~creative(paul)|~old(paul)))<=>(?[X]:(tall(X))))&
(![X]:(~strong(X)=>(kind(X)|~happy(X))))&
(![X]:((patient(X)<~>calm(X))<=>(~old(X)<~>~tall(X))))&
(![X]:((strong(X)&~generous(X))<=>(~funny(X)&~calm(X))))&
(![X]:((~curious(X)|~kind(X))<=>(funny(X)|tall(X))))&
((?[X]:((~old(X)&wise(X))))<=>(?[X]:((curious(X)&patient(... | ~brave(john) | [] | null | 0 |
If mary is not creative or humble then someone is not humble and vice versa. If alice is not calm or strong then someone is either not creative or not quiet and vice versa. Everyone who is both not patient and not creative is either not brave or quiet. Everyone who is either curious or not brave is either happy or brav... | Mary is not funny. | contradiction | (((~creative(mary)|humble(mary)))<=>(?[X]:(~humble(X))))&
(((~calm(alice)|strong(alice)))<=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:((~patient(X)&~creative(X))=>(~brave(X)<~>quiet(X))))&
(![X]:((curious(X)<~>~brave(X))=>(happy(X)<~>brave(X))))&
(![X]:((~old(X)<~>~happy(X))=>(brave(X)&~generous(X))))&
(![X]:((~old(X... | ~funny(mary) | [
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8120100296977462648701814
% SZS output start Proof for 8120100296977462648701814
8. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> creative(X0)) [input p7]
10. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (quiet(X0) <~> kind(X0))) [input p9]
13. ! [X0] : (creative(X0) => (kind(X0) <~> quiet(... | 0 |
Everyone who is not calm or brave is calm and vice versa.
If someone is both not curious and humble then lucy is not wise or rich.
Everyone who is quiet or not calm is not rich.
If fred is rich then someone is old or not kind and vice versa.
Everyone who is both creative and not kind is funny and vice versa.
If fred is... | Alice is not kind. | neutral | (![X]:((~calm(X)|brave(X))<=>calm(X)))&
((?[X]:((~curious(X)&humble(X))))=>((~wise(lucy)|rich(lucy))))&
(![X]:((quiet(X)|~calm(X))=>~rich(X)))&
((rich(fred))<=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>funny(X)))&
(((kind(fred)&~humble(fred)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((~kind(X)|gen... | ~kind(alice) | [] | null | 0 |
If someone is humble then paul is both not old and humble and vice versa.
Everyone who is creative is either not humble or not quiet and vice versa.
If someone is either not tall or not strong then susan is not patient or humble and vice versa.
If someone is both not creative and not curious then mary is either not hum... | John is generous. | neutral | ((?[X]:(humble(X)))<=>((~old(paul)&humble(paul))))&
(![X]:(creative(X)<=>(~humble(X)<~>~quiet(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>((~patient(susan)|humble(susan))))&
((?[X]:((~creative(X)&~curious(X))))<=>((~humble(mary)<~>~creative(mary))))&
((?[X]:((~funny(X)&kind(X))))<=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:... | generous(john) | [] | null | 0 |
If mary is humble or not humble then someone is funny or not humble.
If lucy is both not creative and not strong then someone is not rich or generous and vice versa.
Everyone who is either generous or not generous is both brave and not generous and vice versa.
Everyone who is not patient or not tall is either generous ... | Alice is not calm. | contradiction | (((humble(mary)|~humble(mary)))=>(?[X]:((funny(X)|~humble(X)))))&
(((~creative(lucy)&~strong(lucy)))<=>(?[X]:((~rich(X)|generous(X)))))&
(![X]:((generous(X)<~>~generous(X))<=>(brave(X)&~generous(X))))&
(![X]:((~patient(X)|~tall(X))<=>(generous(X)<~>~quiet(X))))&
((~patient(john))<=>(calm(lucy)))&
(![X]:((~calm(X)|patie... | ~calm(alice) | [
"p2",
"p3",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 542778800444716249067552
% SZS output start Proof for 542778800444716249067552
3. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (~generous(X0) & brave(X0))) [input p2]
4. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> (generous(X0) <~> ~quiet(X0))) [input p3]
6. ! [X0] : ((patient(X0) | ~calm(... | 0 |
Everyone who is both strong and not tall is generous. If fred is either not generous or quiet then lucy is not strong. Everyone who is either not creative or humble is either quiet or not patient and vice versa. If someone is either strong or not curious then john is not strong and vice versa. If someone is not kind or... | Paul is not patient. | contradiction | (![X]:((strong(X)&~tall(X))=>generous(X)))&
(((~generous(fred)<~>quiet(fred)))=>(~strong(lucy)))&
(![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(~strong(john)))&
((?[X]:((~kind(X)|~patient(X))))=>((~rich(lucy)&tall(lucy))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?... | ~patient(paul) | [
"p2",
"p4",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8615870561388459101181028
% SZS output start Proof for 8615870561388459101181028
3. ! [X0] : ((~creative(X0) <~> humble(X0)) <=> (quiet(X0) <~> ~patient(X0))) [input p2]
5. ? [X0] : (~patient(X0) | ~kind(X0)) => (tall(lucy) & ~rich(lucy)) [input p4]
13. (~wise(mary) & ~old(mary)) <=> ? [X... | 0 |
Everyone who is not funny is both generous and not calm.
If john is either wise or funny then alice is both curious and strong.
Everyone who is not creative or funny is both not curious and not rich and vice versa.
Everyone who is not curious is not happy or not calm and vice versa.
Everyone who is old is both not old ... | Mary is wise. | entailment | (![X]:(~funny(X)=>(generous(X)&~calm(X))))&
(((wise(john)<~>funny(john)))=>((curious(alice)&strong(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~curious(X)&~rich(X))))&
(![X]:(~curious(X)<=>(~happy(X)|~calm(X))))&
(![X]:(old(X)=>(~old(X)&rich(X))))&
(((~wise(paul)&~humble(paul)))<=>(?[X]:(~tall(X))))&
(![X]:(patient(X)... | wise(mary) | [
"p0",
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5745928849706440736501509
% SZS output start Proof for 5745928849706440736501509
1. ! [X0] : (~funny(X0) => (~calm(X0) & generous(X0))) [input p0]
3. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (~rich(X0) & ~curious(X0))) [input p2]
4. ! [X0] : (~curious(X0) <=> (~calm(X0) | ~happy(X0))) [i... | 0 |
Everyone who is either not humble or creative is either not kind or not strong.
Everyone who is not kind is not funny or not humble and vice versa.
If someone is either not rich or not wise then lucy is not wise and vice versa.
Everyone who is not tall or happy is not old or not humble and vice versa.
Everyone who is b... | Lucy is not rich. | contradiction | (![X]:((~humble(X)<~>creative(X))=>(~kind(X)<~>~strong(X))))&
(![X]:(~kind(X)<=>(~funny(X)|~humble(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(~wise(lucy)))&
(![X]:((~tall(X)|happy(X))<=>(~old(X)|~humble(X))))&
(![X]:((~curious(X)&happy(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~wise(X)&~curious(X))=>quiet(X)))&
(![X]:((~cal... | ~rich(lucy) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2853250354473543222917209
% SZS output start Proof for 2853250354473543222917209
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> (~funny(X0) | ~rich(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | tall(X0)) => kind(X0)) [input p7]
9. ! [X0] : ((~wise(X0) | happy(X0)) => (funny(X0) & ~rich(X0))) [i... | 0 |
If mary is not calm then susan is both not generous and not happy and vice versa.
Everyone who is both not brave and not rich is both not creative and happy.
Everyone who is both tall and brave is both not happy and not humble and vice versa.
Everyone who is both strong and creative is both not rich and not funny.
If s... | Fred is calm. | contradiction | ((~calm(mary))<=>((~generous(susan)&~happy(susan))))&
(![X]:((~brave(X)&~rich(X))=>(~creative(X)&happy(X))))&
(![X]:((tall(X)&brave(X))<=>(~happy(X)&~humble(X))))&
(![X]:((strong(X)&creative(X))=>(~rich(X)&~funny(X))))&
((?[X]:((~curious(X)<~>creative(X))))<=>(?[X]:(tall(X))))&
(![X]:((~brave(X)<~>~curious(X))<=>(quiet... | calm(fred) | [
"p1",
"p5",
"p7",
"p11",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 21517888889224772588637
% SZS output start Proof for 21517888889224772588637
2. ! [X0] : ((~rich(X0) & ~brave(X0)) => (happy(X0) & ~creative(X0))) [input p1]
6. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> (quiet(X0) <~> old(X0))) [input p5]
8. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (br... | 0 |
Everyone who is patient or creative is not patient and vice versa. If someone is generous then someone is brave and vice versa. Everyone who is both old and happy is both not patient and not strong. Everyone who is not patient is both not rich and curious. Everyone who is happy is either not strong or not generous. If ... | Mary is not wise. | contradiction | (![X]:((patient(X)|creative(X))<=>~patient(X)))&
((?[X]:(generous(X)))<=>(?[X]:(brave(X))))&
(![X]:((old(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:(~patient(X)=>(~rich(X)&curious(X))))&
(![X]:(happy(X)=>(~strong(X)<~>~generous(X))))&
(((brave(john)&~humble(john)))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((stron... | ~wise(mary) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4415164887324605475394704
% SZS output start Proof for 4415164887324605475394704
13. ! [X0] : ((old(X0) | tall(X0)) => (~old(X0) & humble(X0))) [input p12]
15. ! [X0] : (wise(X0) <=> (brave(X0) | ~old(X0))) [input p14]
22. ~wise(mary) [input hypothesis]
34. ! [X0] : ((~old(X0) & humble(X0... | 0 |
Everyone who is not happy is not generous and vice versa. If john is not brave or not creative then someone is both creative and not wise. Everyone who is either not quiet or patient is either not calm or wise and vice versa. If alice is either quiet or creative then someone is both quiet and tall and vice versa. Every... | Mary is old. | neutral | (![X]:(~happy(X)<=>~generous(X)))&
(((~brave(john)|~creative(john)))=>(?[X]:((creative(X)&~wise(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(~calm(X)<~>wise(X))))&
(((quiet(alice)<~>creative(alice)))<=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((~generous(X)&brave(X))<=>(patient(X)&humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>... | old(mary) | [] | null | 0 |
If someone is rich or not brave then mary is both not brave and not patient.
If susan is both calm and wise then alice is both strong and not wise.
If john is not rich then susan is either not wise or not old and vice versa.
If someone is either patient or not kind then someone is not calm and vice versa.
If john is no... | John is not strong. | neutral | ((?[X]:((rich(X)|~brave(X))))=>((~brave(mary)&~patient(mary))))&
(((calm(susan)&wise(susan)))=>((strong(alice)&~wise(alice))))&
((~rich(john))<=>((~wise(susan)<~>~old(susan))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:(~calm(X))))&
(((~calm(john)|~curious(john)))<=>(?[X]:((rich(X)&~brave(X)))))&
(![X]:(strong(X)=>~ol... | ~strong(john) | [] | null | 0 |
Everyone who is generous or strong is either not generous or kind and vice versa. If someone is either not old or not patient then fred is both calm and quiet. If alice is calm then alice is not quiet. Everyone who is both not calm and not generous is either patient or not wise. If someone is both creative and generous... | Lucy is strong. | entailment | (![X]:((generous(X)|strong(X))<=>(~generous(X)<~>kind(X))))&
((?[X]:((~old(X)<~>~patient(X))))=>((calm(fred)&quiet(fred))))&
((calm(alice))=>(~quiet(alice)))&
(![X]:((~calm(X)&~generous(X))=>(patient(X)<~>~wise(X))))&
((?[X]:((creative(X)&generous(X))))=>((~old(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~creative(X))<=>~ol... | strong(lucy) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p11",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8096695234901456408615319
% SZS output start Proof for 8096695234901456408615319
1. ! [X0] : ((strong(X0) | generous(X0)) <=> (~generous(X0) <~> kind(X0))) [input p0]
5. ? [X0] : (generous(X0) & creative(X0)) => (~kind(lucy) & ~old(lucy)) [input p4]
8. ! [X0] : (~funny(X0) <=> (~generous(... | 0 |
Everyone who is not humble or not tall is both generous and strong and vice versa. Everyone who is either not calm or not generous is either not kind or brave. Everyone who is either happy or not rich is both not brave and not strong. Everyone who is both not rich and not quiet is curious and vice versa. Everyone who i... | John is not quiet. | entailment | (![X]:((~humble(X)|~tall(X))<=>(generous(X)&strong(X))))&
(![X]:((~calm(X)<~>~generous(X))=>(~kind(X)<~>brave(X))))&
(![X]:((happy(X)<~>~rich(X))=>(~brave(X)&~strong(X))))&
(![X]:((~rich(X)&~quiet(X))<=>curious(X)))&
(![X]:((happy(X)<~>humble(X))=>brave(X)))&
(((~rich(fred)&tall(fred)))<=>(?[X]:((quiet(X)|~patient(X)))... | ~quiet(john) | [
"p0",
"p2",
"p4",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 122096441342122249789955
% SZS output start Proof for 122096441342122249789955
1. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (strong(X0) & generous(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~rich(X0)) => (~strong(X0) & ~brave(X0))) [input p2]
5. ! [X0] : ((happy(X0) <~> humble(X0)) => bra... | 0 |
Everyone who is calm is tall. If someone is both not old and funny then john is not quiet or wise. Everyone who is either not curious or happy is not wise or not calm and vice versa. Everyone who is wise is not happy and vice versa. Everyone who is both not creative and not kind is either happy or not patient and vice ... | Alice is wise. | entailment | (![X]:(calm(X)=>tall(X)))&
((?[X]:((~old(X)&funny(X))))=>((~quiet(john)|wise(john))))&
(![X]:((~curious(X)<~>happy(X))<=>(~wise(X)|~calm(X))))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:((~creative(X)&~kind(X))<=>(happy(X)<~>~patient(X))))&
((?[X]:((~funny(X)<~>~humble(X))))=>((tall(susan)&~funny(susan))))&
((?[X]:(happy(X))... | wise(alice) | [
"p0",
"p3",
"p4",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7223420634125784637847536
% SZS output start Proof for 7223420634125784637847536
1. ! [X0] : (calm(X0) => tall(X0)) [input p0]
4. ! [X0] : (wise(X0) <=> ~happy(X0)) [input p3]
5. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> (happy(X0) <~> ~patient(X0))) [input p4]
10. ! [X0] : ((~calm(X0) | ... | 0 |
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