premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not tall or not humble is either brave or not humble and vice versa.
Everyone who is not wise or not quiet is kind.
Everyone who is both not generous and not funny is either wise or humble and vice versa.
If john is both curious and not strong then lucy is calm or strong and vice versa.
Everyone ... | Mary is quiet. | entailment | (![X]:((~tall(X)<~>~humble(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~wise(X)|~quiet(X))=>kind(X)))&
(![X]:((~generous(X)&~funny(X))<=>(wise(X)<~>humble(X))))&
(((curious(john)&~strong(john)))<=>((calm(lucy)|strong(lucy))))&
(![X]:(~calm(X)<=>(~happy(X)&~wise(X))))&
(![X]:((~rich(X)|quiet(X))=>(~rich(X)|old(X))))&
(![X]... | quiet(mary) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 52575586648430574276968
% SZS output start Proof for 52575586648430574276968
9. ! [X0] : ((~calm(X0) | ~strong(X0)) => (quiet(X0) & calm(X0))) [input p8]
14. ? [X0] : (calm(X0) | ~calm(X0)) <=> ~strong(mary) [input p13]
21. ~quiet(mary) [input hypothesis]
29. ! [X0] : ((quiet(X0) & calm(X... | 0 |
If mary is patient or not wise then fred is either not strong or patient.
Everyone who is not humble is not generous or quiet.
Everyone who is not wise or not quiet is both not brave and wise and vice versa.
Everyone who is kind or quiet is not quiet or tall.
Everyone who is quiet is both not creative and not calm and ... | Mary is not quiet. | entailment | (((patient(mary)|~wise(mary)))=>((~strong(fred)<~>patient(fred))))&
(![X]:(~humble(X)=>(~generous(X)|quiet(X))))&
(![X]:((~wise(X)|~quiet(X))<=>(~brave(X)&wise(X))))&
(![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))&
(![X]:(quiet(X)<=>(~creative(X)&~calm(X))))&
((~kind(alice))<=>((~kind(alice)&calm(alice))))&
(![X]:((~... | ~quiet(mary) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7058992262402513054397732
% SZS output start Proof for 7058992262402513054397732
5. ! [X0] : (quiet(X0) <=> (~calm(X0) & ~creative(X0))) [input p4]
14. ! [X0] : (~calm(X0) => (~generous(X0) & ~quiet(X0))) [input p13]
23. quiet(mary) [input hypothesis]
34. ! [X0] : ((~generous(X0) & ~quiet... | 0 |
If john is both not humble and humble then mary is both brave and not kind.
If lucy is generous or curious then lucy is not tall.
Everyone who is both generous and not wise is tall.
If fred is humble or not patient then lucy is old and vice versa.
Everyone who is either not rich or not patient is either patient or not ... | Mary is generous. | neutral | (((~humble(john)&humble(john)))=>((brave(mary)&~kind(mary))))&
(((generous(lucy)|curious(lucy)))=>(~tall(lucy)))&
(![X]:((generous(X)&~wise(X))=>tall(X)))&
(((humble(fred)|~patient(fred)))<=>(old(lucy)))&
(![X]:((~rich(X)<~>~patient(X))<=>(patient(X)<~>~humble(X))))&
(((old(mary)<~>patient(mary)))=>(?[X]:((patient(X)|c... | generous(mary) | [] | null | 0 |
Everyone who is both old and not quiet is either quiet or not happy and vice versa.
Everyone who is either not patient or strong is not wise and vice versa.
Everyone who is not kind is either rich or old.
Everyone who is funny is not wise or patient and vice versa.
If someone is not calm or not rich then someone is bot... | John is not humble. | neutral | (![X]:((old(X)&~quiet(X))<=>(quiet(X)<~>~happy(X))))&
(![X]:((~patient(X)<~>strong(X))<=>~wise(X)))&
(![X]:(~kind(X)=>(rich(X)<~>old(X))))&
(![X]:(funny(X)<=>(~wise(X)|patient(X))))&
((?[X]:((~calm(X)|~rich(X))))<=>(?[X]:((funny(X)&kind(X)))))&
(((~tall(john)|old(john)))<=>(?[X]:((old(X)&~patient(X)))))&
(((happy(alice... | ~humble(john) | [] | null | 0 |
Everyone who is not calm is both not calm and not strong.
If someone is either not kind or creative then paul is both funny and not wise.
If someone is not old or not creative then alice is creative or old and vice versa.
Everyone who is old is either not happy or kind.
Everyone who is old or not funny is both not curi... | Lucy is not patient. | contradiction | (![X]:(~calm(X)=>(~calm(X)&~strong(X))))&
((?[X]:((~kind(X)<~>creative(X))))=>((funny(paul)&~wise(paul))))&
((?[X]:((~old(X)|~creative(X))))<=>((creative(alice)|old(alice))))&
(![X]:(old(X)=>(~happy(X)<~>kind(X))))&
(![X]:((old(X)|~funny(X))=>(~curious(X)&patient(X))))&
(![X]:((~wise(X)|brave(X))=>(~funny(X)|~brave(X))... | ~patient(lucy) | [
"p4",
"p5",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8612969258971242516370764
% SZS output start Proof for 8612969258971242516370764
5. ! [X0] : ((~funny(X0) | old(X0)) => (patient(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((brave(X0) | ~wise(X0)) => (~brave(X0) | ~funny(X0))) [input p5]
15. ? [X0] : (~wise(X0) | ~old(X0)) <=> (quiet(luc... | 0 |
Everyone who is either calm or kind is both tall and rich.
If someone is either humble or not kind then someone is humble or not wise and vice versa.
Everyone who is not happy is either not brave or patient and vice versa.
If someone is not happy or strong then fred is wise or not generous.
If someone is either brave o... | Fred is humble. | neutral | (![X]:((calm(X)<~>kind(X))=>(tall(X)&rich(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:(~happy(X)<=>(~brave(X)<~>patient(X))))&
((?[X]:((~happy(X)|strong(X))))=>((wise(fred)|~generous(fred))))&
((?[X]:((brave(X)<~>happy(X))))=>((~quiet(john)&quiet(john))))&
(![X]:(generous(X)<=>(happy... | humble(fred) | [] | null | 0 |
If alice is not funny then fred is both not curious and creative.
If john is either tall or quiet then someone is either not calm or not curious.
If fred is either not brave or tall then paul is calm.
Everyone who is not kind or not rich is either calm or wise.
Everyone who is either not generous or rich is both quiet ... | John is generous. | contradiction | ((~funny(alice))=>((~curious(fred)&creative(fred))))&
(((tall(john)<~>quiet(john)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(((~brave(fred)<~>tall(fred)))=>(calm(paul)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>rich(X))=>(quiet(X)&old(X))))&
(((~kind(susan)&~calm(susan)))=>((old(susan)<~>... | generous(john) | [
"p4",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5190463749741855213948917
% SZS output start Proof for 5190463749741855213948917
5. ! [X0] : ((~generous(X0) <~> rich(X0)) => (old(X0) & quiet(X0))) [input p4]
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~happy(X0) & old(X0))) [input p8]
10. ? [X0] : (strong(X0) & quiet(X0)) <=> ? [X0] : ... | 0 |
Everyone who is not old is both not patient and rich. If someone is either not kind or not creative then someone is not patient or old and vice versa. If mary is both creative and not funny then susan is not tall and vice versa. Everyone who is either not happy or not kind is curious or funny. Everyone who is both not ... | Paul is generous. | neutral | (![X]:(~old(X)=>(~patient(X)&rich(X))))&
((?[X]:((~kind(X)<~>~creative(X))))<=>(?[X]:((~patient(X)|old(X)))))&
(((creative(mary)&~funny(mary)))<=>(~tall(susan)))&
(![X]:((~happy(X)<~>~kind(X))=>(curious(X)|funny(X))))&
(![X]:((~old(X)&calm(X))<=>(~creative(X)|curious(X))))&
(![X]:((~brave(X)<~>creative(X))=>(humble(X)&... | generous(paul) | [] | null | 0 |
If someone is either kind or not happy then lucy is both not rich and old and vice versa. Everyone who is rich or not kind is both not happy and not creative and vice versa. If someone is curious or generous then susan is either patient or old. Everyone who is humble or not old is not humble or happy. If paul is not ri... | Paul is patient. | contradiction | ((?[X]:((kind(X)<~>~happy(X))))<=>((~rich(lucy)&old(lucy))))&
(![X]:((rich(X)|~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:((curious(X)|generous(X))))=>((patient(susan)<~>old(susan))))&
(![X]:((humble(X)|~old(X))=>(~humble(X)|happy(X))))&
((~rich(paul))=>((~patient(paul)<~>~kind(paul))))&
(![X]:((calm(X)|~happy(X))=>... | patient(paul) | [
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 268756937511168027206677
% SZS output start Proof for 268756937511168027206677
2. ! [X0] : ((~kind(X0) | rich(X0)) <=> (~creative(X0) & ~happy(X0))) [input p1]
5. ~rich(paul) => (~patient(paul) <~> ~kind(paul)) [input p4]
10. ! [X0] : ((~creative(X0) | kind(X0)) => (~calm(X0) & happy(X0))... | 0 |
If john is both not kind and tall then fred is calm or not wise.
If someone is either not calm or not funny then someone is both calm and not humble and vice versa.
Everyone who is not wise is strong or happy.
Everyone who is not tall or not creative is both not rich and strong and vice versa.
Everyone who is either no... | Fred is tall. | entailment | (((~kind(john)&tall(john)))=>((calm(fred)|~wise(fred))))&
((?[X]:((~calm(X)<~>~funny(X))))<=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:(~wise(X)=>(strong(X)|happy(X))))&
(![X]:((~tall(X)|~creative(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~s... | tall(fred) | [
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5589957791967067718272016
% SZS output start Proof for 5589957791967067718272016
4. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> (strong(X0) & ~rich(X0))) [input p3]
8. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p7]
16. ? [X0] : (humble(X0) & ~happy(X0)) <=> ? [X0] : (curious(X... | 0 |
Everyone who is either not generous or not calm is either not brave or funny.
Everyone who is either patient or not tall is both brave and strong and vice versa.
If mary is either not quiet or not humble then susan is either happy or not rich and vice versa.
If someone is not creative then someone is not generous.
If s... | John is wise. | contradiction | (![X]:((~generous(X)<~>~calm(X))=>(~brave(X)<~>funny(X))))&
(![X]:((patient(X)<~>~tall(X))<=>(brave(X)&strong(X))))&
(((~quiet(mary)<~>~humble(mary)))<=>((happy(susan)<~>~rich(susan))))&
((?[X]:(~creative(X)))=>(?[X]:(~generous(X))))&
(((~rich(susan)|~strong(susan)))=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:((~curiou... | wise(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4659614938033615481524536
% SZS output start Proof for 4659614938033615481524536
12. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> (~wise(X0) & ~brave(X0))) [input p11]
21. wise(john) [input hypothesis]
50. ! [X0] : ((((~rich(X0) | rich(X0)) & (rich(X0) | ~rich(X0))) | (wise(X0) | brave(X0))) & ... | 0 |
Everyone who is strong is either kind or happy and vice versa.
Everyone who is both calm and not brave is not funny or not brave.
Everyone who is not creative is not patient.
Everyone who is both funny and not tall is both kind and not brave.
If someone is both rich and not creative then paul is both not calm and wise ... | Paul is not creative. | neutral | (![X]:(strong(X)<=>(kind(X)<~>happy(X))))&
(![X]:((calm(X)&~brave(X))=>(~funny(X)|~brave(X))))&
(![X]:(~creative(X)=>~patient(X)))&
(![X]:((funny(X)&~tall(X))=>(kind(X)&~brave(X))))&
((?[X]:((rich(X)&~creative(X))))<=>((~calm(paul)&wise(paul))))&
(((~funny(paul)|old(paul)))<=>(~rich(fred)))&
((?[X]:(quiet(X)))<=>((funn... | ~creative(paul) | [] | null | 0 |
If someone is not happy then paul is not old. Everyone who is both not tall and quiet is wise or humble and vice versa. Everyone who is not humble or not quiet is both tall and funny. Everyone who is either not strong or tall is both brave and not brave and vice versa. If mary is both not patient and not quiet then pau... | Fred is quiet. | neutral | ((?[X]:(~happy(X)))=>(~old(paul)))&
(![X]:((~tall(X)&quiet(X))<=>(wise(X)|humble(X))))&
(![X]:((~humble(X)|~quiet(X))=>(tall(X)&funny(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(brave(X)&~brave(X))))&
(((~patient(mary)&~quiet(mary)))<=>((~creative(paul)|~quiet(paul))))&
((?[X]:((~patient(X)<~>~happy(X))))<=>(?[X]:(~curious... | quiet(fred) | [] | null | 0 |
If mary is both funny and generous then lucy is not humble or humble. Everyone who is both wise and not happy is not rich or not happy and vice versa. Everyone who is generous is both not calm and not brave and vice versa. Everyone who is either strong or not patient is either tall or wise and vice versa. Everyone who ... | Paul is patient. | neutral | (((funny(mary)&generous(mary)))=>((~humble(lucy)|humble(lucy))))&
(![X]:((wise(X)&~happy(X))<=>(~rich(X)|~happy(X))))&
(![X]:(generous(X)<=>(~calm(X)&~brave(X))))&
(![X]:((strong(X)<~>~patient(X))<=>(tall(X)<~>wise(X))))&
(![X]:(~brave(X)<=>(~wise(X)|funny(X))))&
(((~calm(paul)&curious(paul)))=>((quiet(fred)|~strong(fr... | patient(paul) | [] | null | 0 |
If susan is both tall and not funny then fred is patient or not brave.
If paul is either not curious or creative then mary is either not quiet or not happy and vice versa.
If someone is either not kind or wise then someone is either kind or patient.
Everyone who is brave is funny or not old.
Everyone who is not generou... | Lucy is strong. | entailment | (((tall(susan)&~funny(susan)))=>((patient(fred)|~brave(fred))))&
(((~curious(paul)<~>creative(paul)))<=>((~quiet(mary)<~>~happy(mary))))&
((?[X]:((~kind(X)<~>wise(X))))=>(?[X]:((kind(X)<~>patient(X)))))&
(![X]:(brave(X)=>(funny(X)|~old(X))))&
(![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X... | strong(lucy) | [
"p4",
"p6",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 258823245565359841613038
% SZS output start Proof for 258823245565359841613038
5. ! [X0] : ((~creative(X0) | ~generous(X0)) => (~strong(X0) & funny(X0))) [input p4]
7. ! [X0] : ((~patient(X0) | ~strong(X0)) <=> (kind(X0) & ~creative(X0))) [input p6]
10. ! [X0] : ((generous(X0) <~> ~creati... | 0 |
If someone is rich then mary is both brave and happy and vice versa.
If lucy is not strong then lucy is both not happy and not funny.
If someone is rich or quiet then paul is either not tall or tall and vice versa.
Everyone who is both curious and creative is either curious or not tall.
Everyone who is funny or not fun... | Susan is creative. | neutral | ((?[X]:(rich(X)))<=>((brave(mary)&happy(mary))))&
((~strong(lucy))=>((~happy(lucy)&~funny(lucy))))&
((?[X]:((rich(X)|quiet(X))))<=>((~tall(paul)<~>tall(paul))))&
(![X]:((curious(X)&creative(X))=>(curious(X)<~>~tall(X))))&
(![X]:((funny(X)|~funny(X))=>(~happy(X)<~>kind(X))))&
(((patient(fred)&~kind(fred)))=>((creative(s... | creative(susan) | [] | null | 0 |
If john is either funny or not funny then someone is funny and vice versa.
If alice is either generous or not humble then john is either not calm or quiet and vice versa.
If someone is either not happy or funny then susan is strong and vice versa.
If fred is either tall or quiet then someone is both creative and calm a... | John is not old. | contradiction | (((funny(john)<~>~funny(john)))<=>(?[X]:(funny(X))))&
(((generous(alice)<~>~humble(alice)))<=>((~calm(john)<~>quiet(john))))&
((?[X]:((~happy(X)<~>funny(X))))<=>(strong(susan)))&
(((tall(fred)<~>quiet(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((~humble(X)&old(X))<=>(kind(X)|wise(X))))&
((?[X]:((~curious(X)|brave... | ~old(john) | [
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7922371383710959575607379
% SZS output start Proof for 7922371383710959575607379
5. ! [X0] : ((old(X0) & ~humble(X0)) <=> (wise(X0) | kind(X0))) [input p4]
15. ! [X0] : ((~calm(X0) | ~wise(X0)) <=> ~kind(X0)) [input p14]
16. ! [X0] : ((~kind(X0) | generous(X0)) => (wise(X0) & ~tall(X0))) ... | 0 |
If mary is both not old and brave then susan is both generous and curious and vice versa.
If someone is not humble then someone is brave.
If someone is either not strong or wise then someone is either generous or kind.
Everyone who is either not wise or tall is both not happy and not creative.
Everyone who is both not ... | Alice is funny. | contradiction | (((~old(mary)&brave(mary)))<=>((generous(susan)&curious(susan))))&
((?[X]:(~humble(X)))=>(?[X]:(brave(X))))&
((?[X]:((~strong(X)<~>wise(X))))=>(?[X]:((generous(X)<~>kind(X)))))&
(![X]:((~wise(X)<~>tall(X))=>(~happy(X)&~creative(X))))&
(![X]:((~humble(X)&~kind(X))=>(~quiet(X)<~>~generous(X))))&
(((humble(alice)&kind(ali... | funny(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5731801963744706215510322
% SZS output start Proof for 5731801963744706215510322
13. ! [X0] : ((funny(X0) | ~calm(X0)) => (~funny(X0) & creative(X0))) [input p12]
24. funny(alice) [input hypothesis]
37. ! [X0] : ((~funny(X0) & creative(X0)) | (~funny(X0) & calm(X0))) [ennf transformation ... | 0 |
Everyone who is creative is both not curious and wise.
Everyone who is both old and not calm is not brave or wise and vice versa.
If someone is not generous or not tall then mary is rich or quiet.
If someone is both not quiet and creative then someone is not funny.
Everyone who is not tall or not rich is either humble ... | Fred is not curious. | entailment | (![X]:(creative(X)=>(~curious(X)&wise(X))))&
(![X]:((old(X)&~calm(X))<=>(~brave(X)|wise(X))))&
((?[X]:((~generous(X)|~tall(X))))=>((rich(mary)|quiet(mary))))&
((?[X]:((~quiet(X)&creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~rich(X))=>(humble(X)<~>creative(X))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~curious... | ~curious(fred) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7196846445411604008391174
% SZS output start Proof for 7196846445411604008391174
16. ! [X0] : (~tall(X0) <=> curious(X0)) [input p15]
21. tall(fred) [input p20]
25. curious(fred) [input hypothesis]
73. ! [X0] : ((~tall(X0) | ~curious(X0)) & (curious(X0) | tall(X0))) [nnf transformation 16... | 0 |
Everyone who is not funny or patient is not quiet.
Everyone who is old or curious is not rich and vice versa.
Everyone who is either not wise or not calm is both not old and tall.
If susan is not generous then someone is happy or wise.
Everyone who is both creative and not quiet is both not patient and not generous.
Ev... | Susan is kind. | entailment | (![X]:((~funny(X)|patient(X))=>~quiet(X)))&
(![X]:((old(X)|curious(X))<=>~rich(X)))&
(![X]:((~wise(X)<~>~calm(X))=>(~old(X)&tall(X))))&
((~generous(susan))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((creative(X)&~quiet(X))=>(~patient(X)&~generous(X))))&
(![X]:((creative(X)<~>~humble(X))<=>(curious(X)<~>~curious(X))))&
((?[X... | kind(susan) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8819521295173540812242432
% SZS output start Proof for 8819521295173540812242432
6. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p5]
10. ! [X0] : (~humble(X0) <=> (kind(X0) | creative(X0))) [input p9]
24. ~kind(susan) [input hypothesis]
40. ! [X0] : ... | 0 |
If paul is kind then mary is not curious or rich.
Everyone who is both rich and tall is not happy or tall.
If someone is not strong or strong then john is both not tall and not wise.
Everyone who is not patient is either old or curious.
Everyone who is happy or not wise is both not funny and old.
If someone is curious ... | Paul is patient. | entailment | ((kind(paul))=>((~curious(mary)|rich(mary))))&
(![X]:((rich(X)&tall(X))=>(~happy(X)|tall(X))))&
((?[X]:((~strong(X)|strong(X))))=>((~tall(john)&~wise(john))))&
(![X]:(~patient(X)=>(old(X)<~>curious(X))))&
(![X]:((happy(X)|~wise(X))=>(~funny(X)&old(X))))&
((?[X]:((curious(X)|~strong(X))))<=>((old(fred)<~>~patient(fred))... | patient(paul) | [
"p7",
"p10",
"p11",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5023972365016483467983310
% SZS output start Proof for 5023972365016483467983310
8. ! [X0] : (~quiet(X0) => (patient(X0) <~> rich(X0))) [input p7]
11. ! [X0] : (rich(X0) => (~old(X0) & ~tall(X0))) [input p10]
12. ! [X0] : (~quiet(X0) <=> (brave(X0) | ~patient(X0))) [input p11]
21. curious... | 0 |
Everyone who is either not rich or not brave is both kind and not strong and vice versa.
Everyone who is rich or old is both not quiet and not curious.
If someone is not calm or not tall then susan is both not kind and not funny.
If lucy is both not happy and not patient then someone is either curious or not creative a... | Paul is not funny. | neutral | (![X]:((~rich(X)<~>~brave(X))<=>(kind(X)&~strong(X))))&
(![X]:((rich(X)|old(X))=>(~quiet(X)&~curious(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~kind(susan)&~funny(susan))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((curious(X)<~>~creative(X)))))&
((?[X]:((~funny(X)&rich(X))))<=>(~strong(lucy)))&
(![X]:((humble(X)<~>~cre... | ~funny(paul) | [] | null | 0 |
Everyone who is both not rich and not patient is both not wise and not patient and vice versa.
Everyone who is not tall is rich.
If someone is either calm or not funny then someone is patient.
If someone is either happy or strong then someone is happy.
If alice is funny then someone is either humble or wise and vice ve... | Mary is not tall. | contradiction | (![X]:((~rich(X)&~patient(X))<=>(~wise(X)&~patient(X))))&
(![X]:(~tall(X)=>rich(X)))&
((?[X]:((calm(X)<~>~funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((happy(X)<~>strong(X))))=>(?[X]:(happy(X))))&
((funny(alice))<=>(?[X]:((humble(X)<~>wise(X)))))&
(![X]:(~tall(X)=>(~quiet(X)&~patient(X))))&
(![X]:((calm(X)<~>patient(X))<... | ~tall(mary) | [
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 172072335260244874722950
% SZS output start Proof for 172072335260244874722950
6. ! [X0] : (~tall(X0) => (~patient(X0) & ~quiet(X0))) [input p5]
8. ! [X0] : (~old(X0) <=> (~patient(X0) | humble(X0))) [input p7]
14. ! [X0] : (~old(X0) <=> (quiet(X0) <~> patient(X0))) [input p13]
25. ~tall(... | 0 |
If someone is either not quiet or quiet then susan is either not quiet or not strong.
Everyone who is old or patient is not strong or quiet.
Everyone who is both not old and not wise is kind and vice versa.
If someone is either not wise or kind then john is either not tall or calm.
If someone is not creative or not str... | Lucy is not tall. | contradiction | ((?[X]:((~quiet(X)<~>quiet(X))))=>((~quiet(susan)<~>~strong(susan))))&
(![X]:((old(X)|patient(X))=>(~strong(X)|quiet(X))))&
(![X]:((~old(X)&~wise(X))<=>kind(X)))&
((?[X]:((~wise(X)<~>kind(X))))=>((~tall(john)<~>calm(john))))&
((?[X]:((~creative(X)|~strong(X))))=>((quiet(lucy)|rich(lucy))))&
((?[X]:((~calm(X)|~rich(X)))... | ~tall(lucy) | [
"p2",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8905403988687991308971469
% SZS output start Proof for 8905403988687991308971469
3. ! [X0] : ((~wise(X0) & ~old(X0)) <=> kind(X0)) [input p2]
13. ! [X0] : ((~kind(X0) <~> ~tall(X0)) <=> (rich(X0) & old(X0))) [input p12]
19. kind(lucy) [input p18]
24. ~tall(lucy) [input hypothesis]
44. ! [... | 0 |
If mary is quiet then someone is not happy. Everyone who is kind is tall or not tall and vice versa. Everyone who is curious is both humble and not kind and vice versa. If someone is quiet or tall then someone is not creative and vice versa. Everyone who is either patient or not patient is not brave and vice versa. Eve... | Alice is not quiet. | contradiction | ((quiet(mary))=>(?[X]:(~happy(X))))&
(![X]:(kind(X)<=>(tall(X)|~tall(X))))&
(![X]:(curious(X)<=>(humble(X)&~kind(X))))&
((?[X]:((quiet(X)|tall(X))))<=>(?[X]:(~creative(X))))&
(![X]:((patient(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((brave(X)|strong(X))=>~calm(X)))&
((?[X]:((~wise(X)|patient(X))))=>(?[X]:(~rich(X))))&
(!... | ~quiet(alice) | [
"p1",
"p2",
"p4",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 36490660627732859580136
% SZS output start Proof for 36490660627732859580136
2. ! [X0] : (kind(X0) <=> (~tall(X0) | tall(X0))) [input p1]
3. ! [X0] : (curious(X0) <=> (~kind(X0) & humble(X0))) [input p2]
5. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> ~brave(X0)) [input p4]
14. (brave(fre... | 0 |
If paul is calm then alice is both rich and patient and vice versa. Everyone who is either calm or rich is either not funny or kind. Everyone who is either generous or not tall is quiet or not funny and vice versa. If someone is generous then someone is not creative and vice versa. If someone is not quiet then paul is ... | Paul is calm. | neutral | ((calm(paul))<=>((rich(alice)&patient(alice))))&
(![X]:((calm(X)<~>rich(X))=>(~funny(X)<~>kind(X))))&
(![X]:((generous(X)<~>~tall(X))<=>(quiet(X)|~funny(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~creative(X))))&
((?[X]:(~quiet(X)))<=>((funny(paul)<~>generous(paul))))&
(![X]:(generous(X)<=>~humble(X)))&
(((patient(paul)&~ri... | calm(paul) | [] | null | 0 |
Everyone who is both not kind and old is quiet and vice versa.
If fred is either old or generous then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy... | Fred is not humble. | contradiction | (![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>generous(fred)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))... | ~humble(fred) | [
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 891669948529478738913772
% SZS output start Proof for 891669948529478738913772
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (tall(X0) <~> ~tall(X0))) [input p7]
14. ! [X0] : ((tall(X0) | ~humble(X0)) => (calm(X0) <~> patient(X0))) [input p13]
21. ~happy(fred) & patient(fred) [input p20]
22. ~h... | 0 |
Everyone who is either not creative or not funny is either not brave or not calm.
Everyone who is rich or not rich is either creative or happy and vice versa.
If fred is either not quiet or generous then lucy is humble.
If mary is not generous or curious then someone is both not creative and tall and vice versa.
Everyo... | John is not strong. | entailment | (![X]:((~creative(X)<~>~funny(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((rich(X)|~rich(X))<=>(creative(X)<~>happy(X))))&
(((~quiet(fred)<~>generous(fred)))=>(humble(lucy)))&
(((~generous(mary)|curious(mary)))<=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((curious(X)<~>wise(X))<=>(~old(X)<~>brave(X))))&
(![X]:(happy(X)=>(~curi... | ~strong(john) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2460709675468998041349766
% SZS output start Proof for 2460709675468998041349766
10. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (quiet(X0) <~> curious(X0))) [input p9]
12. ! [X0] : (wise(X0) <=> (quiet(X0) <~> ~curious(X0))) [input p11]
25. strong(john) [input hypothesis]
53. ! [X0] : (((wise... | 0 |
If someone is not generous then someone is either calm or humble and vice versa.
If alice is not funny or old then paul is not funny.
Everyone who is not rich or humble is both funny and not wise.
If someone is both wise and funny then someone is either not tall or strong.
Everyone who is not rich or not creative is ri... | Alice is not tall. | entailment | ((?[X]:(~generous(X)))<=>(?[X]:((calm(X)<~>humble(X)))))&
(((~funny(alice)|old(alice)))=>(~funny(paul)))&
(![X]:((~rich(X)|humble(X))=>(funny(X)&~wise(X))))&
((?[X]:((wise(X)&funny(X))))=>(?[X]:((~tall(X)<~>strong(X)))))&
(![X]:((~rich(X)|~creative(X))=>(rich(X)|~calm(X))))&
(![X]:(happy(X)<=>~brave(X)))&
(![X]:((~humb... | ~tall(alice) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8330755539385708550877833
% SZS output start Proof for 8330755539385708550877833
13. ! [X0] : ((~kind(X0) | tall(X0)) => (wise(X0) & happy(X0))) [input p12]
23. ~wise(alice) [input p22]
24. tall(alice) [input hypothesis]
36. ! [X0] : ((wise(X0) & happy(X0)) | (kind(X0) & ~tall(X0))) [ennf... | 0 |
If john is wise or not brave then someone is creative or not wise and vice versa.
Everyone who is not kind is tall and vice versa.
Everyone who is not happy is not generous.
Everyone who is either not rich or creative is either not creative or funny and vice versa.
If someone is either not tall or humble then fred is e... | Alice is not brave. | neutral | (((wise(john)|~brave(john)))<=>(?[X]:((creative(X)|~wise(X)))))&
(![X]:(~kind(X)<=>tall(X)))&
(![X]:(~happy(X)=>~generous(X)))&
(![X]:((~rich(X)<~>creative(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:((~tall(X)<~>humble(X))))<=>((~old(fred)<~>~tall(fred))))&
(((~brave(alice)<~>~creative(alice)))<=>(?[X]:((tall(X)<~>~old(... | ~brave(alice) | [] | null | 0 |
If someone is curious then someone is either old or not calm and vice versa.
If someone is both tall and creative then paul is not strong or brave and vice versa.
If someone is either funny or calm then someone is both creative and quiet.
If someone is either brave or strong then someone is not tall or not wise.
Everyo... | Paul is not humble. | entailment | ((?[X]:(curious(X)))<=>(?[X]:((old(X)<~>~calm(X)))))&
((?[X]:((tall(X)&creative(X))))<=>((~strong(paul)|brave(paul))))&
((?[X]:((funny(X)<~>calm(X))))=>(?[X]:((creative(X)&quiet(X)))))&
((?[X]:((brave(X)<~>strong(X))))=>(?[X]:((~tall(X)|~wise(X)))))&
(![X]:(wise(X)=>~humble(X)))&
(![X]:((humble(X)|wise(X))<=>(~funny(X)... | ~humble(paul) | [
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3082818489064160399128180
% SZS output start Proof for 3082818489064160399128180
5. ! [X0] : (wise(X0) => ~humble(X0)) [input p4]
24. wise(paul) [input p23]
25. humble(paul) [input hypothesis]
34. ! [X0] : (~humble(X0) | ~wise(X0)) [ennf transformation 5]
107. ~humble(X0) | ~wise(X0) [cnf... | 0 |
Everyone who is not rich or not funny is either not creative or funny and vice versa.
Everyone who is both old and calm is either not strong or humble and vice versa.
If someone is either tall or not funny then alice is wise or not patient.
Everyone who is both not curious and humble is both not generous and brave and ... | Mary is brave. | entailment | (![X]:((~rich(X)|~funny(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((old(X)&calm(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(cur... | brave(mary) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7888504832146385134520718
% SZS output start Proof for 7888504832146385134520718
2. ! [X0] : ((calm(X0) & old(X0)) <=> (~strong(X0) <~> humble(X0))) [input p1]
4. ! [X0] : ((humble(X0) & ~curious(X0)) <=> (brave(X0) & ~generous(X0))) [input p3]
7. (~strong(fred) | creative(fred)) <=> ~wis... | 0 |
Everyone who is either not brave or not wise is creative.
If lucy is not generous or tall then paul is humble or not humble and vice versa.
Everyone who is either not brave or not tall is not brave or not tall.
Everyone who is either not kind or calm is both curious and not humble and vice versa.
If someone is both not... | Fred is patient. | contradiction | (![X]:((~brave(X)<~>~wise(X))=>creative(X)))&
(((~generous(lucy)|tall(lucy)))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(curious(X)&~humble(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((~brave(X)&~creative(X)))))&
((?[X]:((tall(X)&patient(... | patient(fred) | [
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1828422459963037361855370
% SZS output start Proof for 1828422459963037361855370
9. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (patient(X0) & ~quiet(X0))) [input p8]
15. ? [X0] : (brave(X0) | patient(X0)) <=> ? [X0] : (~patient(X0) <~> ~old(X0)) [input p14]
16. ! [X0] : ((old(X0) | quiet(X0)) <... | 0 |
If someone is both creative and calm then lucy is either not humble or not funny. If someone is either humble or funny then susan is either happy or not strong and vice versa. Everyone who is creative is not wise. If someone is brave then someone is kind and vice versa. Everyone who is generous is both not strong and c... | Susan is wise. | contradiction | ((?[X]:((creative(X)&calm(X))))=>((~humble(lucy)<~>~funny(lucy))))&
((?[X]:((humble(X)<~>funny(X))))<=>((happy(susan)<~>~strong(susan))))&
(![X]:(creative(X)=>~wise(X)))&
((?[X]:(brave(X)))<=>(?[X]:(kind(X))))&
(![X]:(generous(X)=>(~strong(X)&calm(X))))&
((?[X]:((quiet(X)|~wise(X))))<=>(?[X]:((~tall(X)<~>wise(X)))))&
(... | wise(susan) | [
"p6",
"p11",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3881909339007516006383474
% SZS output start Proof for 3881909339007516006383474
7. generous(susan) <=> (old(susan) | ~curious(susan)) [input p6]
12. ! [X0] : (~wise(X0) <=> (happy(X0) | tall(X0))) [input p11]
14. ! [X0] : (rich(X0) <=> (happy(X0) <~> old(X0))) [input p13]
15. ! [X0] : ((... | 0 |
Everyone who is either not old or humble is both creative and brave and vice versa. If someone is either tall or not strong then someone is both not curious and calm. If lucy is both not generous and not kind then someone is either not funny or calm and vice versa. If someone is either not curious or not funny then luc... | Paul is old. | neutral | (![X]:((~old(X)<~>humble(X))<=>(creative(X)&brave(X))))&
((?[X]:((tall(X)<~>~strong(X))))=>(?[X]:((~curious(X)&calm(X)))))&
(((~generous(lucy)&~kind(lucy)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>~funny(X))))<=>(~curious(lucy)))&
(![X]:((old(X)|generous(X))<=>(~patient(X)&old(X))))&
(![X]:(humble(X)=... | old(paul) | [] | null | 0 |
If someone is either not old or quiet then someone is either not kind or wise.
Everyone who is patient is both not patient and quiet and vice versa.
If paul is strong then someone is strong.
Everyone who is old or not quiet is both curious and not brave.
If paul is either wise or not old then fred is tall.
Everyone who... | Alice is not calm. | neutral | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(![X]:(patient(X)<=>(~patient(X)&quiet(X))))&
((strong(paul))=>(?[X]:(strong(X))))&
(![X]:((old(X)|~quiet(X))=>(curious(X)&~brave(X))))&
(((wise(paul)<~>~old(paul)))=>(tall(fred)))&
(![X]:((~quiet(X)&~patient(X))=>(~tall(X)&old(X))))&
(![X]:((~quiet(X)&qui... | ~calm(alice) | [] | null | 0 |
If someone is either old or wise then lucy is old.
If fred is both not creative and not happy then susan is either not patient or curious and vice versa.
Everyone who is both not quiet and curious is either wise or kind and vice versa.
If someone is calm then alice is both creative and tall and vice versa.
Everyone who... | Paul is not old. | neutral | ((?[X]:((old(X)<~>wise(X))))=>(old(lucy)))&
(((~creative(fred)&~happy(fred)))<=>((~patient(susan)<~>curious(susan))))&
(![X]:((~quiet(X)&curious(X))<=>(wise(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~c... | ~old(paul) | [] | null | 0 |
If someone is both not generous and not calm then mary is both not happy and rich and vice versa. Everyone who is either patient or generous is not generous and vice versa. Everyone who is either not calm or not brave is not old or not tall. If someone is either curious or quiet then fred is not kind or not calm. Every... | John is brave. | contradiction | ((?[X]:((~generous(X)&~calm(X))))<=>((~happy(mary)&rich(mary))))&
(![X]:((patient(X)<~>generous(X))<=>~generous(X)))&
(![X]:((~calm(X)<~>~brave(X))=>(~old(X)|~tall(X))))&
((?[X]:((curious(X)<~>quiet(X))))=>((~kind(fred)|~calm(fred))))&
(![X]:((~quiet(X)&~rich(X))=>~wise(X)))&
((?[X]:((quiet(X)|brave(X))))=>((happy(mary... | brave(john) | [
"p7",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7879126480460521951982685
% SZS output start Proof for 7879126480460521951982685
8. ! [X0] : ((old(X0) | ~funny(X0)) => (creative(X0) & quiet(X0))) [input p7]
12. (~strong(john) <~> ~happy(john)) <=> ? [X0] : (~rich(X0) <~> ~funny(X0)) [input p11]
13. ! [X0] : ((~generous(X0) | ~old(X0)) ... | 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 quiet. | 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)=>... | quiet(john) | [
"p3",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2518454728430288574641352
% SZS output start Proof for 2518454728430288574641352
4. ? [X0] : creative(X0) => ? [X0] : generous(X0) [input p3]
7. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p6]
8. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p7]
12... | 0 |
Everyone who is wise is generous and vice versa. If someone is quiet then someone is either happy or brave and vice versa. If fred is both wise and rich then lucy is calm or not brave and vice versa. Everyone who is both not wise and strong is either patient or wise and vice versa. Everyone who is either not curious or... | Fred is not creative. | entailment | (![X]:(wise(X)<=>generous(X)))&
((?[X]:(quiet(X)))<=>(?[X]:((happy(X)<~>brave(X)))))&
(((wise(fred)&rich(fred)))<=>((calm(lucy)|~brave(lucy))))&
(![X]:((~wise(X)&strong(X))<=>(patient(X)<~>wise(X))))&
(![X]:((~curious(X)<~>~creative(X))<=>(happy(X)&~old(X))))&
(((creative(paul)<~>~creative(paul)))<=>(?[X]:(~tall(X))))&... | ~creative(fred) | [
"p0",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 114947212967696470382131
% SZS output start Proof for 114947212967696470382131
1. ! [X0] : (wise(X0) <=> generous(X0)) [input p0]
8. ! [X0] : ((calm(X0) | ~kind(X0)) <=> (curious(X0) <~> creative(X0))) [input p7]
11. ! [X0] : ((funny(X0) <~> old(X0)) <=> (~wise(X0) <~> ~generous(X0))) [in... | 0 |
Everyone who is quiet is not old and vice versa.
If john is both calm and not calm then lucy is not wise.
If someone is both not patient and kind then mary is either not calm or not wise.
Everyone who is not funny or not generous is both happy and brave.
Everyone who is kind or not wise is either not tall or not genero... | Alice is not funny. | entailment | (![X]:(quiet(X)<=>~old(X)))&
(((calm(john)&~calm(john)))=>(~wise(lucy)))&
((?[X]:((~patient(X)&kind(X))))=>((~calm(mary)<~>~wise(mary))))&
(![X]:((~funny(X)|~generous(X))=>(happy(X)&brave(X))))&
(![X]:((kind(X)|~wise(X))=>(~tall(X)<~>~generous(X))))&
(![X]:(~humble(X)=>(strong(X)<~>creative(X))))&
(![X]:((kind(X)|~wise... | ~funny(alice) | [
"p0",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7412660645708879342758806
% SZS output start Proof for 7412660645708879342758806
1. ! [X0] : (quiet(X0) <=> ~old(X0)) [input p0]
12. ! [X0] : (old(X0) <=> (happy(X0) | quiet(X0))) [input p11]
17. ~old(alice) | ~funny(alice) [input p16]
19. funny(alice) [input hypothesis]
33. ! [X0] : ((qu... | 0 |
If someone is either not wise or patient then mary is either wise or happy and vice versa. If someone is quiet or not quiet then someone is not brave or not funny. Everyone who is old or not strong is both generous and not happy. Everyone who is either rich or quiet is quiet or not old. Everyone who is happy or not tal... | Paul is not generous. | entailment | ((?[X]:((~wise(X)<~>patient(X))))<=>((wise(mary)<~>happy(mary))))&
((?[X]:((quiet(X)|~quiet(X))))=>(?[X]:((~brave(X)|~funny(X)))))&
(![X]:((old(X)|~strong(X))=>(generous(X)&~happy(X))))&
(![X]:((rich(X)<~>quiet(X))=>(quiet(X)|~old(X))))&
(![X]:((happy(X)|~tall(X))<=>(~brave(X)<~>~kind(X))))&
(((~rich(paul)<~>generous(p... | ~generous(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4327491342633007980783179
% SZS output start Proof for 4327491342633007980783179
16. ! [X0] : ((~rich(X0) & generous(X0)) <=> rich(X0)) [input p15]
24. generous(paul) [input hypothesis]
65. ! [X0] : (((~rich(X0) & generous(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) | ~generous(X0)))) [nnf ... | 0 |
Everyone who is either tall or kind is both not kind and calm and vice versa.
Everyone who is either not old or happy is either not happy or curious.
Everyone who is not patient is not brave and vice versa.
Everyone who is either curious or not brave is either not old or not wise and vice versa.
If someone is quiet the... | Alice is generous. | neutral | (![X]:((tall(X)<~>kind(X))<=>(~kind(X)&calm(X))))&
(![X]:((~old(X)<~>happy(X))=>(~happy(X)<~>curious(X))))&
(![X]:(~patient(X)<=>~brave(X)))&
(![X]:((curious(X)<~>~brave(X))<=>(~old(X)<~>~wise(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~quiet(X)<~>~kind(X)))))&
(![X]:((creative(X)<~>rich(X))=>(happy(X)|kind(X))))&
(![X]:((quie... | generous(alice) | [] | null | 0 |
Everyone who is either wise or not humble is kind and vice versa.
Everyone who is quiet is both not wise and not creative.
Everyone who is wise or strong is calm.
Everyone who is not patient or funny is both old and not old and vice versa.
Everyone who is both not funny and patient is not tall and vice versa.
Everyone ... | John is not calm. | contradiction | (![X]:((wise(X)<~>~humble(X))<=>kind(X)))&
(![X]:(quiet(X)=>(~wise(X)&~creative(X))))&
(![X]:((wise(X)|strong(X))=>calm(X)))&
(![X]:((~patient(X)|funny(X))<=>(old(X)&~old(X))))&
(![X]:((~funny(X)&patient(X))<=>~tall(X)))&
(![X]:(wise(X)=>(~curious(X)|patient(X))))&
(![X]:((~creative(X)&~curious(X))=>happy(X)))&
(![X]:(... | ~calm(john) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 398556749564206221933766
% SZS output start Proof for 398556749564206221933766
3. ! [X0] : ((strong(X0) | wise(X0)) => calm(X0)) [input p2]
9. ! [X0] : ((~strong(X0) | ~patient(X0)) => (~generous(X0) & calm(X0))) [input p8]
22. ~calm(john) [input hypothesis]
27. ! [X0] : (calm(X0) | (~str... | 0 |
If someone is calm then someone is both old and not old. If someone is either not strong or not patient then someone is both not patient and not curious and vice versa. If susan is kind or not strong then susan is not wise or generous and vice versa. Everyone who is not curious is both calm and not kind. If someone is ... | Fred is not strong. | neutral | ((?[X]:(calm(X)))=>(?[X]:((old(X)&~old(X)))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((~patient(X)&~curious(X)))))&
(((kind(susan)|~strong(susan)))<=>((~wise(susan)|generous(susan))))&
(![X]:(~curious(X)=>(calm(X)&~kind(X))))&
((?[X]:(~strong(X)))=>((rich(paul)|~kind(paul))))&
(![X]:((~generous(X)&strong(X))<=>p... | ~strong(fred) | [] | null | 0 |
Everyone who is either curious or old is both rich and brave and vice versa.
If mary is either calm or not quiet then someone is brave or not creative and vice versa.
Everyone who is both not creative and not tall is humble and vice versa.
If lucy is either kind or calm then paul is not quiet.
Everyone who is generous ... | Fred is not old. | contradiction | (![X]:((curious(X)<~>old(X))<=>(rich(X)&brave(X))))&
(((calm(mary)<~>~quiet(mary)))<=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:((~creative(X)&~tall(X))<=>humble(X)))&
(((kind(lucy)<~>calm(lucy)))=>(~quiet(paul)))&
(![X]:((generous(X)|funny(X))<=>(strong(X)&patient(X))))&
(((curious(lucy)&patient(lucy)))=>(~tall(lucy)))... | ~old(fred) | [
"p0",
"p2",
"p4",
"p7",
"p9",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7514122576211875858202114
% SZS output start Proof for 7514122576211875858202114
1. ! [X0] : ((curious(X0) <~> old(X0)) <=> (brave(X0) & rich(X0))) [input p0]
3. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> humble(X0)) [input p2]
5. ! [X0] : ((funny(X0) | generous(X0)) <=> (patient(X0) & str... | 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... | Fred is not strong. | entailment | (![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... | ~strong(fred) | [
"p4",
"p7",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6784901556308390475474280
% SZS output start Proof for 6784901556308390475474280
5. (happy(fred) <~> ~patient(fred)) => (brave(fred) <~> ~strong(fred)) [input p4]
8. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (calm(X0) | old(X0))) [input p7]
10. ! [X0] : ((old(X0) <~> ~happy(X0)) => (~old... | 0 |
Everyone who is funny is both strong and tall and vice versa.
Everyone who is both quiet and not funny is curious or not funny.
Everyone who is calm is both not humble and generous.
Everyone who is not brave or tall is either not brave or calm.
If someone is not tall or wise then lucy is both curious and not curious an... | Mary is not wise. | entailment | (![X]:(funny(X)<=>(strong(X)&tall(X))))&
(![X]:((quiet(X)&~funny(X))=>(curious(X)|~funny(X))))&
(![X]:(calm(X)=>(~humble(X)&generous(X))))&
(![X]:((~brave(X)|tall(X))=>(~brave(X)<~>calm(X))))&
((?[X]:((~tall(X)|wise(X))))<=>((curious(lucy)&~curious(lucy))))&
(![X]:((~old(X)<~>calm(X))<=>(~curious(X)&humble(X))))&
(((cr... | ~wise(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3077333654719771419620295
% SZS output start Proof for 3077333654719771419620295
5. ? [X0] : (wise(X0) | ~tall(X0)) <=> (~curious(lucy) & curious(lucy)) [input p4]
23. wise(mary) [input hypothesis]
36. (? [X0] : (wise(X0) | ~tall(X0)) | (curious(lucy) | ~curious(lucy))) & ((~curious(lucy)... | 0 |
Everyone who is either not creative or brave is both not curious and not rich and vice versa.
Everyone who is either not old or funny is not brave and vice versa.
Everyone who is not funny or old is both generous and creative.
If john is either calm or not strong then alice is funny.
Everyone who is not old is both not... | Fred is rich. | neutral | (![X]:((~creative(X)<~>brave(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~old(X)<~>funny(X))<=>~brave(X)))&
(![X]:((~funny(X)|old(X))=>(generous(X)&creative(X))))&
(((calm(john)<~>~strong(john)))=>(funny(alice)))&
(![X]:(~old(X)<=>(~quiet(X)&~generous(X))))&
(![X]:((wise(X)<~>curious(X))<=>(~brave(X)|~strong(X))))&
(![X]:(... | rich(fred) | [] | null | 0 |
Everyone who is not strong or not humble is both not happy and not rich. Everyone who is either not old or happy is not tall. Everyone who is not brave or not happy is old or not tall and vice versa. Everyone who is kind or generous is either creative or not strong and vice versa. Everyone who is both humble and not ge... | Susan is not brave. | contradiction | (![X]:((~strong(X)|~humble(X))=>(~happy(X)&~rich(X))))&
(![X]:((~old(X)<~>happy(X))=>~tall(X)))&
(![X]:((~brave(X)|~happy(X))<=>(old(X)|~tall(X))))&
(![X]:((kind(X)|generous(X))<=>(creative(X)<~>~strong(X))))&
(![X]:((humble(X)&~generous(X))=>(~patient(X)&~humble(X))))&
(![X]:((patient(X)|~quiet(X))<=>~patient(X)))&
(!... | ~brave(susan) | [
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8970238455253101103886561
% SZS output start Proof for 8970238455253101103886561
6. ! [X0] : ((~quiet(X0) | patient(X0)) <=> ~patient(X0)) [input p5]
7. ! [X0] : ((~brave(X0) <~> quiet(X0)) => (~curious(X0) & generous(X0))) [input p6]
16. ! [X0] : (quiet(X0) <=> generous(X0)) [input p15]
... | 0 |
If lucy is humble or not funny then paul is curious or humble. Everyone who is patient is both not tall and funny. Everyone who is both not generous and not creative is both quiet and not funny and vice versa. Everyone who is both not rich and creative is both not brave and brave and vice versa. If someone is kind or h... | Lucy is old. | neutral | (((humble(lucy)|~funny(lucy)))=>((curious(paul)|humble(paul))))&
(![X]:(patient(X)=>(~tall(X)&funny(X))))&
(![X]:((~generous(X)&~creative(X))<=>(quiet(X)&~funny(X))))&
(![X]:((~rich(X)&creative(X))<=>(~brave(X)&brave(X))))&
((?[X]:((kind(X)|happy(X))))=>(?[X]:(calm(X))))&
((?[X]:((old(X)<~>~curious(X))))=>((old(alice)<... | old(lucy) | [] | null | 0 |
Everyone who is not creative or not happy is either funny or creative.
If someone is calm then someone is both humble and patient and vice versa.
Everyone who is either not humble or generous is both humble and not creative.
Everyone who is not rich or not strong is both not funny and humble and vice versa.
If someone ... | Alice is not funny. | entailment | (![X]:((~creative(X)|~happy(X))=>(funny(X)<~>creative(X))))&
((?[X]:(calm(X)))<=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((~humble(X)<~>generous(X))=>(humble(X)&~creative(X))))&
(![X]:((~rich(X)|~strong(X))<=>(~funny(X)&humble(X))))&
((?[X]:((~creative(X)&~generous(X))))=>(?[X]:((~generous(X)|~strong(X)))))&
(((patient... | ~funny(alice) | [
"p2",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 18972346137875891582768
% SZS output start Proof for 18972346137875891582768
3. ! [X0] : ((~humble(X0) <~> generous(X0)) => (~creative(X0) & humble(X0))) [input p2]
11. ! [X0] : ((patient(X0) | ~humble(X0)) => (quiet(X0) & ~humble(X0))) [input p10]
16. ! [X0] : (funny(X0) => (patient(X0) ... | 0 |
If mary is either strong or generous then john is quiet and vice versa. If fred is either happy or funny then someone is either brave or not brave and vice versa. Everyone who is rich is both old and not old. If someone is either not wise or strong then someone is either calm or not old. If someone is not funny or quie... | Fred is not funny. | entailment | (((strong(mary)<~>generous(mary)))<=>(quiet(john)))&
(((happy(fred)<~>funny(fred)))<=>(?[X]:((brave(X)<~>~brave(X)))))&
(![X]:(rich(X)=>(old(X)&~old(X))))&
((?[X]:((~wise(X)<~>strong(X))))=>(?[X]:((calm(X)<~>~old(X)))))&
((?[X]:((~funny(X)|quiet(X))))=>(~patient(lucy)))&
(![X]:((~strong(X)&funny(X))<=>(~wise(X)&~calm(X... | ~funny(fred) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5248748425487819870780872
% SZS output start Proof for 5248748425487819870780872
2. (happy(fred) <~> funny(fred)) <=> ? [X0] : (brave(X0) <~> ~brave(X0)) [input p1]
9. ! [X0] : ((brave(X0) | happy(X0)) <=> ~brave(X0)) [input p8]
25. funny(fred) [input hypothesis]
38. (((~funny(fred) | ~ha... | 0 |
Everyone who is not strong or funny is tall and vice versa.
If alice is both not calm and not patient then someone is either not patient or quiet.
If alice is either not patient or kind then someone is either patient or generous.
Everyone who is either tall or happy is not rich or not tall and vice versa.
Everyone who ... | John is creative. | neutral | (![X]:((~strong(X)|funny(X))<=>tall(X)))&
(((~calm(alice)&~patient(alice)))=>(?[X]:((~patient(X)<~>quiet(X)))))&
(((~patient(alice)<~>kind(alice)))=>(?[X]:((patient(X)<~>generous(X)))))&
(![X]:((tall(X)<~>happy(X))<=>(~rich(X)|~tall(X))))&
(![X]:((old(X)&~quiet(X))<=>(creative(X)<~>generous(X))))&
(![X]:((~tall(X)&old(... | creative(john) | [] | null | 0 |
If someone is both not wise and not funny then paul is not creative or generous. If someone is quiet or not quiet then someone is not patient or strong and vice versa. Everyone who is creative or not generous is either not quiet or old and vice versa. If someone is both not strong and funny then someone is not strong o... | Paul is not strong. | contradiction | ((?[X]:((~wise(X)&~funny(X))))=>((~creative(paul)|generous(paul))))&
((?[X]:((quiet(X)|~quiet(X))))<=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((creative(X)|~generous(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:((~strong(X)&funny(X))))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((generous(X)&happy(X))=>(~kind(X)&old(X))))&
(((~f... | ~strong(paul) | [
"p7",
"p9",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7073078518852950833145788
% SZS output start Proof for 7073078518852950833145788
8. ! [X0] : ((wise(X0) <~> calm(X0)) <=> (rich(X0) | ~strong(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (~rich(X0) | ~humble(X0))) [input p9]
11. ! [X0] : ((wise(X0) | ~generous(X0)) => (q... | 0 |
Everyone who is not wise or funny is tall. Everyone who is not patient is humble or curious and vice versa. Everyone who is both strong and rich is both not funny and patient. If someone is either kind or brave then someone is not quiet or not kind. Everyone who is happy or kind is both generous and not generous and vi... | Lucy is calm. | entailment | (![X]:((~wise(X)|funny(X))=>tall(X)))&
(![X]:(~patient(X)<=>(humble(X)|curious(X))))&
(![X]:((strong(X)&rich(X))=>(~funny(X)&patient(X))))&
((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((~quiet(X)|~kind(X)))))&
(![X]:((happy(X)|kind(X))<=>(generous(X)&~generous(X))))&
(![X]:((generous(X)|strong(X))<=>(~calm(X)|~humble(X))))&
... | calm(lucy) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p13",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3668102769125470603828175
% SZS output start Proof for 3668102769125470603828175
1. ! [X0] : ((funny(X0) | ~wise(X0)) => tall(X0)) [input p0]
5. ! [X0] : ((kind(X0) | happy(X0)) <=> (~generous(X0) & generous(X0))) [input p4]
7. (tall(john) & ~creative(john)) <=> ? [X0] : (curious(X0) & ge... | 0 |
If someone is old then mary is both not tall and strong.
Everyone who is either wise or humble is both patient and creative and vice versa.
If someone is either humble or brave then mary is not patient or generous.
Everyone who is not generous or not creative is not rich.
If someone is either not rich or curious then s... | Paul is not rich. | entailment | ((?[X]:(old(X)))=>((~tall(mary)&strong(mary))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X))))=>((~patient(mary)|generous(mary))))&
(![X]:((~generous(X)|~creative(X))=>~rich(X)))&
((?[X]:((~rich(X)<~>curious(X))))<=>(?[X]:((curious(X)<~>~patient(X)))))&
((?[X]:((~strong(X)&... | ~rich(paul) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2317693841137398198692430
% SZS output start Proof for 2317693841137398198692430
4. ! [X0] : ((~creative(X0) | ~generous(X0)) => ~rich(X0)) [input p3]
8. ? [X0] : creative(X0) => ? [X0] : (~brave(X0) & brave(X0)) [input p7]
25. rich(paul) [input hypothesis]
28. ? [X0] : creative(X0) => ? ... | 0 |
If lucy is funny then mary is not happy or not creative and vice versa.
If someone is either funny or rich then someone is strong or not creative.
If someone is both not rich and kind then fred is not calm.
If someone is not patient or not quiet then susan is not strong.
Everyone who is either happy or not curious is t... | Susan is not old. | contradiction | ((funny(lucy))<=>((~happy(mary)|~creative(mary))))&
((?[X]:((funny(X)<~>rich(X))))=>(?[X]:((strong(X)|~creative(X)))))&
((?[X]:((~rich(X)&kind(X))))=>(~calm(fred)))&
((?[X]:((~patient(X)|~quiet(X))))=>(~strong(susan)))&
(![X]:((happy(X)<~>~curious(X))=>tall(X)))&
(((tall(paul)<~>~kind(paul)))<=>((old(fred)&~rich(fred))... | ~old(susan) | [
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9046720951508853947337191
% SZS output start Proof for 9046720951508853947337191
12. ! [X0] : (~old(X0) => (~wise(X0) | ~tall(X0))) [input p11]
16. ! [X0] : (~old(X0) => tall(X0)) [input p15]
23. wise(susan) [input p22]
25. ~old(susan) [input hypothesis]
32. ! [X0] : ((~wise(X0) | ~tall(X... | 0 |
If alice is both not brave and not kind then john is not rich or not generous. If someone is either not calm or not tall then someone is not quiet or not patient and vice versa. Everyone who is both not humble and not quiet is either not old or strong. If alice is not rich then someone is either not generous or strong.... | Mary is not patient. | entailment | (((~brave(alice)&~kind(alice)))=>((~rich(john)|~generous(john))))&
((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:((~quiet(X)|~patient(X)))))&
(![X]:((~humble(X)&~quiet(X))=>(~old(X)<~>strong(X))))&
((~rich(alice))=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:((patient(X)|rich(X))<=>(~strong(X)|~calm(X))))&
((~tall(susan))<=>... | ~patient(mary) | [
"p4",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 586821225505811763951225
% SZS output start Proof for 586821225505811763951225
5. ! [X0] : ((rich(X0) | patient(X0)) <=> (~calm(X0) | ~strong(X0))) [input p4]
8. ! [X0] : ((strong(X0) & humble(X0)) <=> patient(X0)) [input p7]
12. ! [X0] : ((humble(X0) | ~funny(X0)) <=> (wise(X0) & calm(X0... | 0 |
Everyone who is both creative and not brave is both tall and not curious and vice versa. Everyone who is both not kind and funny is happy or not creative. Everyone who is both funny and creative is both not tall and generous. If someone is creative or kind then fred is not calm. Everyone who is both not old and not hap... | Mary is not happy. | entailment | (![X]:((creative(X)&~brave(X))<=>(tall(X)&~curious(X))))&
(![X]:((~kind(X)&funny(X))=>(happy(X)|~creative(X))))&
(![X]:((funny(X)&creative(X))=>(~tall(X)&generous(X))))&
((?[X]:((creative(X)|kind(X))))=>(~calm(fred)))&
(![X]:((~old(X)&~happy(X))<=>(strong(X)|curious(X))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~hap... | ~happy(mary) | [
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 353537087894717734113618
% SZS output start Proof for 353537087894717734113618
5. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (curious(X0) | strong(X0))) [input p4]
24. curious(mary) & creative(mary) [input p23]
25. happy(mary) [input hypothesis]
37. ! [X0] : (((~happy(X0) & ~old(X0)) | (~curio... | 0 |
Everyone who is either funny or calm is both tall and not happy. Everyone who is not kind or not brave is either brave or calm and vice versa. Everyone who is generous or happy is tall or quiet and vice versa. If susan is patient then someone is not funny. Everyone who is not tall or not old is not funny or funny and v... | Fred is not wise. | entailment | (![X]:((funny(X)<~>calm(X))=>(tall(X)&~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>(brave(X)<~>calm(X))))&
(![X]:((generous(X)|happy(X))<=>(tall(X)|quiet(X))))&
((patient(susan))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~old(X))<=>(~funny(X)|funny(X))))&
(((~calm(mary)&~humble(mary)))<=>(wise(fred)))&
(![X]:((strong(X)<~>... | ~wise(fred) | [
"p0",
"p1",
"p5",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6029533244524015963436638
% SZS output start Proof for 6029533244524015963436638
1. ! [X0] : ((funny(X0) <~> calm(X0)) => (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~kind(X0)) <=> (brave(X0) <~> calm(X0))) [input p1]
6. (~humble(mary) & ~calm(mary)) <=> wise(fred) [inp... | 0 |
If paul is curious then john is not calm. Everyone who is not curious is both patient and kind and vice versa. Everyone who is not generous or quiet is not humble or brave and vice versa. Everyone who is both tall and not generous is generous or tall and vice versa. Everyone who is both calm and not happy is either not... | Susan is curious. | entailment | ((curious(paul))=>(~calm(john)))&
(![X]:(~curious(X)<=>(patient(X)&kind(X))))&
(![X]:((~generous(X)|quiet(X))<=>(~humble(X)|brave(X))))&
(![X]:((tall(X)&~generous(X))<=>(generous(X)|tall(X))))&
(![X]:((calm(X)&~happy(X))=>(~brave(X)<~>rich(X))))&
(![X]:((brave(X)<~>kind(X))=>(happy(X)<~>quiet(X))))&
((?[X]:((strong(X)&... | curious(susan) | [
"p1",
"p3",
"p8",
"p10",
"p12",
"p14",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1730945312227003108315032
% SZS output start Proof for 1730945312227003108315032
2. ! [X0] : (~curious(X0) <=> (kind(X0) & patient(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & tall(X0)) <=> (tall(X0) | generous(X0))) [input p3]
9. ! [X0] : ((~strong(X0) & ~generous(X0)) <=> (patient(X0)... | 0 |
Everyone who is both not happy and kind is not curious or not old and vice versa. If someone is either not funny or quiet then paul is both calm and kind. Everyone who is not tall or not patient is both humble and not generous. If someone is patient or old then someone is not strong or not happy and vice versa. Everyon... | Alice is curious. | entailment | (![X]:((~happy(X)&kind(X))<=>(~curious(X)|~old(X))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((calm(paul)&kind(paul))))&
(![X]:((~tall(X)|~patient(X))=>(humble(X)&~generous(X))))&
((?[X]:((patient(X)|old(X))))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((~generous(X)|calm(X))<=>rich(X)))&
(![X]:((~quiet(X)<~>~wise(X))=>calm(... | curious(alice) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6089908761826225952338349
% SZS output start Proof for 6089908761826225952338349
1. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (~old(X0) | ~curious(X0))) [input p0]
11. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (~happy(X0) | calm(X0))) [input p10]
24. ~curious(alice) [input hypothesis]
36. ! [X0]... | 0 |
Everyone who is both not wise and funny is either not tall or not strong and vice versa.
If someone is both funny and not old then someone is quiet.
Everyone who is not curious or not humble is old.
Everyone who is both tall and rich is either kind or creative and vice versa.
Everyone who is either happy or not calm is... | Fred is not strong. | contradiction | (![X]:((~wise(X)&funny(X))<=>(~tall(X)<~>~strong(X))))&
((?[X]:((funny(X)&~old(X))))=>(?[X]:(quiet(X))))&
(![X]:((~curious(X)|~humble(X))=>old(X)))&
(![X]:((tall(X)&rich(X))<=>(kind(X)<~>creative(X))))&
(![X]:((happy(X)<~>~calm(X))<=>old(X)))&
(![X]:(quiet(X)<=>(~old(X)|~strong(X))))&
(![X]:((~quiet(X)&humble(X))<=>(~f... | ~strong(fred) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1307960087438483815790374
% SZS output start Proof for 1307960087438483815790374
6. ! [X0] : (quiet(X0) <=> (~strong(X0) | ~old(X0))) [input p5]
7. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> (~strong(X0) | ~funny(X0))) [input p6]
23. ~strong(fred) [input hypothesis]
43. ! [X0] : ((quiet(X0) ... | 0 |
Everyone who is creative is old and vice versa. If paul is wise or not happy then mary is not curious or quiet and vice versa. If mary is either old or tall then alice is not rich. If mary is either curious or not wise then someone is happy or not happy and vice versa. Everyone who is both not patient and not tall is b... | Mary is not brave. | neutral | (![X]:(creative(X)<=>old(X)))&
(((wise(paul)|~happy(paul)))<=>((~curious(mary)|quiet(mary))))&
(((old(mary)<~>tall(mary)))=>(~rich(alice)))&
(((curious(mary)<~>~wise(mary)))<=>(?[X]:((happy(X)|~happy(X)))))&
(![X]:((~patient(X)&~tall(X))=>(calm(X)&~quiet(X))))&
(![X]:((~calm(X)&kind(X))<=>(~kind(X)|brave(X))))&
(![X]:(... | ~brave(mary) | [] | null | 0 |
If someone is either not funny or not quiet then susan is not humble. Everyone who is not old or not tall is brave. If someone is not kind then someone is either not old or kind and vice versa. If mary is not rich then someone is either happy or not patient and vice versa. Everyone who is either not strong or creative ... | Mary is not happy. | neutral | ((?[X]:((~funny(X)<~>~quiet(X))))=>(~humble(susan)))&
(![X]:((~old(X)|~tall(X))=>brave(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((~old(X)<~>kind(X)))))&
((~rich(mary))<=>(?[X]:((happy(X)<~>~patient(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>(funny(X)|~curious(X))))&
((strong(susan))<=>(generous(alice)))&
(![X]:((~humble(X)|~f... | ~happy(mary) | [] | null | 0 |
If fred is creative or not funny then lucy is patient and vice versa.
Everyone who is not strong or old is both tall and patient and vice versa.
Everyone who is funny or curious is not rich.
Everyone who is not happy or not patient is either rich or funny and vice versa.
If someone is kind then someone is wise or rich ... | Susan is kind. | contradiction | (((creative(fred)|~funny(fred)))<=>(patient(lucy)))&
(![X]:((~strong(X)|old(X))<=>(tall(X)&patient(X))))&
(![X]:((funny(X)|curious(X))=>~rich(X)))&
(![X]:((~happy(X)|~patient(X))<=>(rich(X)<~>funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)|rich(X)))))&
((?[X]:((~curious(X)<~>rich(X))))=>(?[X]:((kind(X)&creative(X)))))... | kind(susan) | [
"p2",
"p7",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4674849253522032561379632
% SZS output start Proof for 4674849253522032561379632
3. ! [X0] : ((curious(X0) | funny(X0)) => ~rich(X0)) [input p2]
8. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (strong(X0) & ~humble(X0))) [input p7]
13. ! [X0] : ((~strong(X0) | ~brave(X0)) => (rich(X0) <~> ~c... | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is kind or happy then lucy is not rich or kind and vice versa.
If lucy is kind then someone is either rich or not humble and vice versa.
Everyone who is either old or not curious is both not strong and patient.
Everyone who is happy i... | Alice is not strong. | neutral | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((kind(X)|happy(X))))<=>((~rich(lucy)|kind(lucy))))&
((kind(lucy))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(![X]:((old(X)<~>~curious(X))=>(~strong(X)&patient(X))))&
(![X]:(happy(X)<=>(kind(X)&~old(X))))&
(![X]:((~funny(X)<~>~tall(X))<=>(patient(X)&rich(X))... | ~strong(alice) | [] | null | 0 |
If someone is both not brave and curious then lucy is quiet and vice versa. If someone is rich or curious then john is not old and vice versa. If someone is either not wise or not strong then lucy is funny and vice versa. If someone is kind or creative then mary is both quiet and not wise and vice versa. Everyone who i... | Lucy is not funny. | contradiction | ((?[X]:((~brave(X)&curious(X))))<=>(quiet(lucy)))&
((?[X]:((rich(X)|curious(X))))<=>(~old(john)))&
((?[X]:((~wise(X)<~>~strong(X))))<=>(funny(lucy)))&
((?[X]:((kind(X)|creative(X))))<=>((quiet(mary)&~wise(mary))))&
(![X]:(~curious(X)<=>(funny(X)|~funny(X))))&
(![X]:(~tall(X)<=>(wise(X)|old(X))))&
(![X]:((humble(X)&~gen... | ~funny(lucy) | [
"p2",
"p3",
"p5",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8089805653529059674311914
% SZS output start Proof for 8089805653529059674311914
3. ? [X0] : (~wise(X0) <~> ~strong(X0)) <=> funny(lucy) [input p2]
4. ? [X0] : (creative(X0) | kind(X0)) <=> (~wise(mary) & quiet(mary)) [input p3]
6. ! [X0] : (~tall(X0) <=> (old(X0) | wise(X0))) [input p5]
... | 0 |
If someone is both humble and not brave then mary is both brave and kind and vice versa. If someone is happy or strong then john is both kind and not creative and vice versa. Everyone who is not rich is both funny and strong. Everyone who is both wise and tall is either not humble or not curious and vice versa. Everyon... | Paul is not old. | entailment | ((?[X]:((humble(X)&~brave(X))))<=>((brave(mary)&kind(mary))))&
((?[X]:((happy(X)|strong(X))))<=>((kind(john)&~creative(john))))&
(![X]:(~rich(X)=>(funny(X)&strong(X))))&
(![X]:((wise(X)&tall(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((brave(X)|creative(X))=>(kind(X)|creative(X))))&
(((~patient(lucy)|~curious(lucy)))=>(... | ~old(paul) | [
"p6",
"p7",
"p9",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8116076012752754570147830
% SZS output start Proof for 8116076012752754570147830
7. ! [X0] : ((~calm(X0) | ~strong(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : ((~happy(X0) | wise(X0)) => (~patient(X0) | ~strong(X0))) [input p7]
10. ? [X0] : (~rich(X0) | ~happy(X0)) <=> ~happy(paul) [inpu... | 0 |
If someone is either happy or not creative then someone is either not humble or not strong.
If someone is calm or old then someone is not wise or wise and vice versa.
Everyone who is not funny or rich is both not calm and tall.
Everyone who is not old is kind and vice versa.
If john is not strong then someone is creati... | Lucy is not humble. | contradiction | ((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~humble(X)<~>~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~funny(X)|rich(X))=>(~calm(X)&tall(X))))&
(![X]:(~old(X)<=>kind(X)))&
((~strong(john))<=>(?[X]:((creative(X)|~patient(X)))))&
(((~curious(paul)<~>~rich(paul)))<=>((~kind(lucy)&hum... | ~humble(lucy) | [
"p2",
"p4",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5242102492198859153351986
% SZS output start Proof for 5242102492198859153351986
3. ! [X0] : ((rich(X0) | ~funny(X0)) => (tall(X0) & ~calm(X0))) [input p2]
5. ~strong(john) <=> ? [X0] : (~patient(X0) | creative(X0)) [input p4]
7. ? [X0] : ~humble(X0) <=> ~funny(john) [input p6]
8. ! [X0] ... | 0 |
Everyone who is not creative or kind is not brave. Everyone who is not rich or kind is either not kind or brave. If someone is curious or not humble then lucy is not funny and vice versa. If someone is either not calm or not curious then someone is either happy or not patient and vice versa. Everyone who is either not ... | Lucy is old. | contradiction | (![X]:((~creative(X)|kind(X))=>~brave(X)))&
(![X]:((~rich(X)|kind(X))=>(~kind(X)<~>brave(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(~funny(lucy)))&
((?[X]:((~calm(X)<~>~curious(X))))<=>(?[X]:((happy(X)<~>~patient(X)))))&
(![X]:((~humble(X)<~>calm(X))=>(wise(X)&quiet(X))))&
(![X]:((~happy(X)|~curious(X))<=>(happy(X)&ki... | old(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2902781506209873001451200
% SZS output start Proof for 2902781506209873001451200
1. ! [X0] : ((kind(X0) | ~creative(X0)) => ~brave(X0)) [input p0]
2. ! [X0] : ((kind(X0) | ~rich(X0)) => (~kind(X0) <~> brave(X0))) [input p1]
4. ? [X0] : (~calm(X0) <~> ~curious(X0)) <=> ? [X0] : (happy(X0) ... | 0 |
If someone is calm or not creative then someone is either quiet or kind and vice versa.
If mary is not creative then someone is either not humble or not creative and vice versa.
Everyone who is not humble or not creative is both not old and curious and vice versa.
Everyone who is not patient or calm is either humble or... | Lucy is patient. | contradiction | ((?[X]:((calm(X)|~creative(X))))<=>(?[X]:((quiet(X)<~>kind(X)))))&
((~creative(mary))<=>(?[X]:((~humble(X)<~>~creative(X)))))&
(![X]:((~humble(X)|~creative(X))<=>(~old(X)&curious(X))))&
(![X]:((~patient(X)|calm(X))<=>(humble(X)<~>~patient(X))))&
(((brave(paul)<~>quiet(paul)))<=>(?[X]:(~curious(X))))&
((?[X]:((calm(X)|~... | patient(lucy) | [
"p2",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 815634466882502835322737
% SZS output start Proof for 815634466882502835322737
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (curious(X0) & ~old(X0))) [input p2]
15. ! [X0] : (~strong(X0) <=> creative(X0)) [input p14]
17. ~strong(lucy) <~> humble(lucy) [input p16]
21. patient(lucy) <~> c... | 0 |
Everyone who is not calm is not kind.
Everyone who is either calm or humble is either not happy or humble and vice versa.
Everyone who is either not creative or calm is not creative.
Everyone who is both not creative and not rich is either happy or humble.
Everyone who is both calm and not wise is either not strong or ... | Alice is generous. | contradiction | (![X]:(~calm(X)=>~kind(X)))&
(![X]:((calm(X)<~>humble(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((~creative(X)<~>calm(X))=>~creative(X)))&
(![X]:((~creative(X)&~rich(X))=>(happy(X)<~>humble(X))))&
(![X]:((calm(X)&~wise(X))<=>(~strong(X)<~>~happy(X))))&
((?[X]:((curious(X)<~>strong(X))))=>(?[X]:((kind(X)<~>curious(X)))))&
... | generous(alice) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 872260737769053705729399
% SZS output start Proof for 872260737769053705729399
10. ! [X0] : ((humble(X0) | generous(X0)) => ~wise(X0)) [input p9]
14. ! [X0] : (~wise(X0) <=> (~happy(X0) & wise(X0))) [input p13]
23. generous(alice) [input hypothesis]
34. ! [X0] : (~wise(X0) | (~humble(X0) ... | 0 |
If fred is both strong and creative then someone is not quiet and vice versa. Everyone who is not tall is both not tall and not happy and vice versa. Everyone who is either not strong or not generous is old or not brave. If paul is either not wise or patient then someone is either old or not generous and vice versa. Ev... | Fred is not calm. | neutral | (((strong(fred)&creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~tall(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(old(X)|~brave(X))))&
(((~wise(paul)<~>patient(paul)))<=>(?[X]:((old(X)<~>~generous(X)))))&
(![X]:((~humble(X)&kind(X))=>(calm(X)<~>~kind(X))))&
(((generous(alice)|calm(alice)))=>((~tall... | ~calm(fred) | [] | null | 0 |
If paul is either kind or not curious then someone is creative or patient.
Everyone who is either not creative or rich is brave or not wise and vice versa.
If susan is funny or happy then john is either not strong or not rich and vice versa.
Everyone who is either not funny or calm is not brave or rich and vice versa.
... | Paul is not funny. | contradiction | (((kind(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|patient(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>(brave(X)|~wise(X))))&
(((funny(susan)|happy(susan)))<=>((~strong(john)<~>~rich(john))))&
(![X]:((~funny(X)<~>calm(X))<=>(~brave(X)|rich(X))))&
(![X]:(~calm(X)<=>(funny(X)|brave(X))))&
(![X]:(~patient(X)=>(rich(X)<~>... | ~funny(paul) | [
"p3",
"p4",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4341724547938282490558998
% SZS output start Proof for 4341724547938282490558998
4. ! [X0] : ((~funny(X0) <~> calm(X0)) <=> (rich(X0) | ~brave(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (brave(X0) | funny(X0))) [input p4]
13. ! [X0] : (~brave(X0) <=> ~wise(X0)) [input p12]
15. ! [X0] : (... | 0 |
Everyone who is either creative or not wise is creative.
Everyone who is not kind or patient is not quiet or brave.
Everyone who is either not patient or not wise is both brave and quiet.
Everyone who is not quiet is old.
If lucy is either not wise or quiet then alice is rich and vice versa.
If john is either not tall ... | Fred is not wise. | entailment | (![X]:((creative(X)<~>~wise(X))=>creative(X)))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)|brave(X))))&
(![X]:((~patient(X)<~>~wise(X))=>(brave(X)&quiet(X))))&
(![X]:(~quiet(X)=>old(X)))&
(((~wise(lucy)<~>quiet(lucy)))<=>(rich(alice)))&
(((~tall(john)<~>funny(john)))=>(?[X]:((~strong(X)|strong(X)))))&
((?[X]:((brave(X)&h... | ~wise(fred) | [
"p1",
"p2",
"p3",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5539279311827663294972506
% SZS output start Proof for 5539279311827663294972506
2. ! [X0] : ((patient(X0) | ~kind(X0)) => (brave(X0) | ~quiet(X0))) [input p1]
3. ! [X0] : ((~patient(X0) <~> ~wise(X0)) => (quiet(X0) & brave(X0))) [input p2]
4. ! [X0] : (~quiet(X0) => old(X0)) [input p3]
1... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either happy or not calm is either not happy or not calm. Everyone who is not curious is not strong. If alice is quiet or not kind t... | Mary is not strong. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~happy(X)<~>~calm(X))))&
(![X]:(~curious(X)=>~strong(X)))&
(((quiet(alice)|~kind(alice)))<=>((~generous(susan)<~>~rich(susan))))&
((?[X]:(~brave(X)))<=>(happy(john)))&
((~curious(j... | ~strong(mary) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5546247909389695596575403
% SZS output start Proof for 5546247909389695596575403
1. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (~tall(X0) <~> ~happy(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
4. ! [X0] : (~curious(X0) => ~strong(X0)) [input... | 0 |
If lucy is not rich then someone is strong and vice versa. Everyone who is both not brave and tall is curious or not tall. If someone is not brave then someone is either tall or not strong. Everyone who is either happy or not funny is kind or not old and vice versa. Everyone who is both not tall and rich is not calm or... | Susan is not creative. | entailment | ((~rich(lucy))<=>(?[X]:(strong(X))))&
(![X]:((~brave(X)&tall(X))=>(curious(X)|~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((tall(X)<~>~strong(X)))))&
(![X]:((happy(X)<~>~funny(X))<=>(kind(X)|~old(X))))&
(![X]:((~tall(X)&rich(X))<=>(~calm(X)|happy(X))))&
(![X]:(~generous(X)<=>(creative(X)|~strong(X))))&
(![X]:(happy(X)<=>(~... | ~creative(susan) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p12",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3422662454818955285997935
% SZS output start Proof for 3422662454818955285997935
4. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> (~old(X0) | kind(X0))) [input p3]
5. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (happy(X0) | ~calm(X0))) [input p4]
7. ! [X0] : (happy(X0) <=> (tall(X0) | ~funny(X0))) [i... | 0 |
If someone is both wise and not kind then john is generous.
Everyone who is patient or strong is both humble and not kind and vice versa.
If someone is funny then someone is not strong and vice versa.
Everyone who is either not happy or happy is both not tall and strong and vice versa.
Everyone who is not quiet is eith... | Lucy is rich. | entailment | ((?[X]:((wise(X)&~kind(X))))=>(generous(john)))&
(![X]:((patient(X)|strong(X))<=>(humble(X)&~kind(X))))&
((?[X]:(funny(X)))<=>(?[X]:(~strong(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(~tall(X)&strong(X))))&
(![X]:(~quiet(X)=>(~kind(X)<~>calm(X))))&
(![X]:((curious(X)&creative(X))=>(~quiet(X)|~rich(X))))&
((?[X]:((quiet(X)... | rich(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4117101829838086648721740
% SZS output start Proof for 4117101829838086648721740
18. rich(lucy) [input p17]
20. ~rich(lucy) [input hypothesis]
111. rich(lucy) [cnf transformation 18]
113. ~rich(lucy) [cnf transformation 20]
231. $false [subsumption resolution 113,111]
% SZS output end Pro... | 0 |
Everyone who is quiet is not curious or happy. If someone is generous or not wise then alice is not kind. If john is patient or not rich then mary is not patient. If someone is patient or not happy then mary is both funny and not old and vice versa. Everyone who is both not happy and not patient is curious or not patie... | Paul is not calm. | neutral | (![X]:(quiet(X)=>(~curious(X)|happy(X))))&
((?[X]:((generous(X)|~wise(X))))=>(~kind(alice)))&
(((patient(john)|~rich(john)))=>(~patient(mary)))&
((?[X]:((patient(X)|~happy(X))))<=>((funny(mary)&~old(mary))))&
(![X]:((~happy(X)&~patient(X))=>(curious(X)|~patient(X))))&
(((calm(susan)|strong(susan)))=>(?[X]:((~curious(X)... | ~calm(paul) | [] | null | 0 |
Everyone who is creative is either not old or not quiet.
Everyone who is either not creative or not wise is both rich and not kind.
If paul is both rich and not wise then someone is rich.
If alice is funny then someone is either curious or not funny.
If alice is not tall then someone is not old and vice versa.
If lucy ... | Mary is not happy. | neutral | (![X]:(creative(X)=>(~old(X)<~>~quiet(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(rich(X)&~kind(X))))&
(((rich(paul)&~wise(paul)))=>(?[X]:(rich(X))))&
((funny(alice))=>(?[X]:((curious(X)<~>~funny(X)))))&
((~tall(alice))<=>(?[X]:(~old(X))))&
(((patient(lucy)&~rich(lucy)))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
((?[X]:(~ol... | ~happy(mary) | [] | null | 0 |
If someone is funny then paul is creative or not humble.
Everyone who is either kind or not patient is either creative or not rich and vice versa.
Everyone who is quiet is not curious or not happy and vice versa.
Everyone who is either tall or not tall is both patient and not generous and vice versa.
Everyone who is ei... | Susan is old. | neutral | ((?[X]:(funny(X)))=>((creative(paul)|~humble(paul))))&
(![X]:((kind(X)<~>~patient(X))<=>(creative(X)<~>~rich(X))))&
(![X]:(quiet(X)<=>(~curious(X)|~happy(X))))&
(![X]:((tall(X)<~>~tall(X))<=>(patient(X)&~generous(X))))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~humble(X)&~generous(X))))&
(![X]:(~humble(X)<=>(~patient(X)&~wise(... | old(susan) | [] | null | 0 |
Everyone who is either not patient or not calm is both creative and generous and vice versa.
Everyone who is either funny or tall is both creative and not brave and vice versa.
If someone is not kind then someone is both not wise and not tall.
Everyone who is either generous or rich is either not tall or tall and vice ... | Fred is not calm. | neutral | (![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&generous(X))))&
(![X]:((funny(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~tall(X)<~>tall(X))))&
(((~curious(lucy)&strong(lucy)))<=>(quiet(fred)))&
(![X]:(tall(X)=>(~patient(X)&~humble(X)))... | ~calm(fred) | [] | null | 0 |
Everyone who is happy or not brave is humble and vice versa.
Everyone who is strong is either not calm or quiet.
Everyone who is either happy or not tall is either humble or not patient and vice versa.
Everyone who is either not rich or curious is not strong or patient and vice versa.
If someone is curious or not gener... | Mary is not tall. | neutral | (![X]:((happy(X)|~brave(X))<=>humble(X)))&
(![X]:(strong(X)=>(~calm(X)<~>quiet(X))))&
(![X]:((happy(X)<~>~tall(X))<=>(humble(X)<~>~patient(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~strong(X)|patient(X))))&
((?[X]:((curious(X)|~generous(X))))=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~strong(X)... | ~tall(mary) | [] | null | 0 |
Everyone who is either not brave or not strong is not humble or not brave and vice versa.
If someone is either not rich or old then alice is not rich or not old and vice versa.
Everyone who is both not patient and humble is both not patient and not curious and vice versa.
If fred is kind or quiet then someone is either... | Mary is not wise. | contradiction | (![X]:((~brave(X)<~>~strong(X))<=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)&~curious(X))))&
(((kind(fred)|quiet(fred)))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X... | ~wise(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 415720150785916023402415
% SZS output start Proof for 415720150785916023402415
11. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p10]
21. ~wise(mary) [input hypothesis]
57. ! [X0] : (((tall(X0) & ~tall(X0)) | (calm(X0) & wise(X0))) & ((~calm(X0) | ~wise(X0)) | (~tal... | 0 |
Everyone who is not brave or creative is wise or not wise and vice versa.
If someone is not calm or not kind then susan is wise and vice versa.
If someone is either tall or not tall then mary is either not quiet or tall.
Everyone who is either not brave or patient is not patient or not old and vice versa.
Everyone who ... | Susan is kind. | entailment | (![X]:((~brave(X)|creative(X))<=>(wise(X)|~wise(X))))&
((?[X]:((~calm(X)|~kind(X))))<=>(wise(susan)))&
((?[X]:((tall(X)<~>~tall(X))))=>((~quiet(mary)<~>tall(mary))))&
(![X]:((~brave(X)<~>patient(X))<=>(~patient(X)|~old(X))))&
(![X]:((brave(X)<~>kind(X))=>~strong(X)))&
((?[X]:((tall(X)|~generous(X))))=>(?[X]:((~curious(... | kind(susan) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6192713252246781395587599
% SZS output start Proof for 6192713252246781395587599
4. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (~old(X0) | ~patient(X0))) [input p3]
12. ? [X0] : (kind(X0) <~> old(X0)) => ? [X0] : brave(X0) [input p11]
16. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (old(X0... | 0 |
If paul is humble then someone is kind or generous. If alice is either tall or curious then alice is curious or humble and vice versa. If someone is either not generous or humble then someone is patient. If paul is either not creative or old then lucy is either brave or not humble and vice versa. If lucy is either crea... | Fred is funny. | neutral | ((humble(paul))=>(?[X]:((kind(X)|generous(X)))))&
(((tall(alice)<~>curious(alice)))<=>((curious(alice)|humble(alice))))&
((?[X]:((~generous(X)<~>humble(X))))=>(?[X]:(patient(X))))&
(((~creative(paul)<~>old(paul)))<=>((brave(lucy)<~>~humble(lucy))))&
(((creative(lucy)<~>~strong(lucy)))<=>(kind(mary)))&
(![X]:((~calm(X)<... | funny(fred) | [] | null | 0 |
Everyone who is either not curious or curious is either not quiet or kind. Everyone who is strong is either happy or not humble. Everyone who is both not generous and not curious is tall and vice versa. If someone is not old then john is both humble and not kind and vice versa. If alice is not old or brave then lucy is... | Lucy is old. | entailment | (![X]:((~curious(X)<~>curious(X))=>(~quiet(X)<~>kind(X))))&
(![X]:(strong(X)=>(happy(X)<~>~humble(X))))&
(![X]:((~generous(X)&~curious(X))<=>tall(X)))&
((?[X]:(~old(X)))<=>((humble(john)&~kind(john))))&
(((~old(alice)|brave(alice)))=>((calm(lucy)<~>wise(lucy))))&
(![X]:((patient(X)<~>~humble(X))<=>~patient(X)))&
(![X]:... | old(lucy) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1829097839034119049358514
% SZS output start Proof for 1829097839034119049358514
4. ? [X0] : ~old(X0) <=> (~kind(john) & humble(john)) [input p3]
6. ! [X0] : ((patient(X0) <~> ~humble(X0)) <=> ~patient(X0)) [input p5]
23. ~old(lucy) [input hypothesis]
39. (? [X0] : ~old(X0) | (kind(john) ... | 0 |
If susan is either not tall or not happy then fred is not humble.
Everyone who is either not funny or calm is both funny and not rich.
Everyone who is both brave and not quiet is both generous and not calm and vice versa.
If susan is not tall then someone is either not happy or not old and vice versa.
Everyone who is n... | Fred is not strong. | neutral | (((~tall(susan)<~>~happy(susan)))=>(~humble(fred)))&
(![X]:((~funny(X)<~>calm(X))=>(funny(X)&~rich(X))))&
(![X]:((brave(X)&~quiet(X))<=>(generous(X)&~calm(X))))&
((~tall(susan))<=>(?[X]:((~happy(X)<~>~old(X)))))&
(![X]:((~calm(X)|~old(X))=>~happy(X)))&
((?[X]:((humble(X)|old(X))))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]... | ~strong(fred) | [] | null | 0 |
If someone is either not generous or happy then someone is not kind. Everyone who is not calm or rich is either not rich or not happy and vice versa. If someone is not patient then paul is both not kind and not old. If paul is not humble then someone is either not rich or happy. Everyone who is both funny and wise is n... | Paul is calm. | entailment | ((?[X]:((~generous(X)<~>happy(X))))=>(?[X]:(~kind(X))))&
(![X]:((~calm(X)|rich(X))<=>(~rich(X)<~>~happy(X))))&
((?[X]:(~patient(X)))=>((~kind(paul)&~old(paul))))&
((~humble(paul))=>(?[X]:((~rich(X)<~>happy(X)))))&
(![X]:((funny(X)&wise(X))<=>~wise(X)))&
((?[X]:((patient(X)|generous(X))))=>((patient(paul)<~>old(paul))))... | calm(paul) | [
"p2",
"p5",
"p6",
"p10",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3190893553269413926360092
% SZS output start Proof for 3190893553269413926360092
3. ? [X0] : ~patient(X0) => (~old(paul) & ~kind(paul)) [input p2]
6. ? [X0] : (generous(X0) | patient(X0)) => (patient(paul) <~> old(paul)) [input p5]
7. ! [X0] : ((rich(X0) <~> calm(X0)) => (~old(X0) <~> ~cr... | 0 |
Everyone who is either not kind or calm is both humble and wise and vice versa.
Everyone who is not brave is both strong and not tall and vice versa.
If alice is both creative and not quiet then lucy is strong and vice versa.
Everyone who is both old and humble is rich or brave and vice versa.
If alice is either curiou... | Fred is funny. | contradiction | (![X]:((~kind(X)<~>calm(X))<=>(humble(X)&wise(X))))&
(![X]:(~brave(X)<=>(strong(X)&~tall(X))))&
(((creative(alice)&~quiet(alice)))<=>(strong(lucy)))&
(![X]:((old(X)&humble(X))<=>(rich(X)|brave(X))))&
(((curious(alice)<~>~brave(alice)))=>(?[X]:((~creative(X)&curious(X)))))&
(((happy(john)<~>patient(john)))<=>(?[X]:(brav... | funny(fred) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4536789923394520527399328
% SZS output start Proof for 4536789923394520527399328
2. ! [X0] : (~brave(X0) <=> (~tall(X0) & strong(X0))) [input p1]
4. ! [X0] : ((humble(X0) & old(X0)) <=> (brave(X0) | rich(X0))) [input p3]
7. funny(fred) <=> (rich(john) & ~quiet(john)) [input p6]
10. ! [X0]... | 0 |
If someone is funny then mary is not tall or not kind.
If lucy is both not tall and not creative then fred is not rich or not kind and vice versa.
Everyone who is patient is not funny and vice versa.
If lucy is both not patient and old then fred is not brave.
If someone is not kind then john is both wise and old.
Every... | John is funny. | entailment | ((?[X]:(funny(X)))=>((~tall(mary)|~kind(mary))))&
(((~tall(lucy)&~creative(lucy)))<=>((~rich(fred)|~kind(fred))))&
(![X]:(patient(X)<=>~funny(X)))&
(((~patient(lucy)&old(lucy)))=>(~brave(fred)))&
((?[X]:(~kind(X)))=>((wise(john)&old(john))))&
(![X]:((~quiet(X)|strong(X))<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)<=... | funny(john) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6433574997699387889388096
% SZS output start Proof for 6433574997699387889388096
14. ! [X0] : ((~funny(X0) | ~old(X0)) => (~quiet(X0) & ~humble(X0))) [input p13]
21. quiet(john) [input p20]
25. ~funny(john) [input hypothesis]
34. ! [X0] : ((~quiet(X0) & ~humble(X0)) | (funny(X0) & old(X0)... | 0 |
Everyone who is not happy is both brave and generous.
If mary is either not patient or not strong then someone is old or rich and vice versa.
If fred is both not old and rich then alice is wise and vice versa.
Everyone who is both not kind and creative is both not funny and brave.
If mary is not rich then someone is ei... | Alice is not creative. | contradiction | (![X]:(~happy(X)=>(brave(X)&generous(X))))&
(((~patient(mary)<~>~strong(mary)))<=>(?[X]:((old(X)|rich(X)))))&
(((~old(fred)&rich(fred)))<=>(wise(alice)))&
(![X]:((~kind(X)&creative(X))=>(~funny(X)&brave(X))))&
((~rich(mary))<=>(?[X]:((~generous(X)<~>old(X)))))&
((?[X]:((funny(X)|~creative(X))))=>(?[X]:((~calm(X)&~funny... | ~creative(alice) | [
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 420804915422750917910929
% SZS output start Proof for 420804915422750917910929
9. ! [X0] : ((~curious(X0) | calm(X0)) => (~wise(X0) & ~patient(X0))) [input p8]
12. ! [X0] : ((~quiet(X0) | ~creative(X0)) => (patient(X0) & generous(X0))) [input p11]
21. ~wise(alice) & calm(alice) [input p20... | 0 |
Everyone who is not tall is both old and creative.
Everyone who is either not generous or not humble is not tall or not happy.
Everyone who is both generous and not humble is both strong and curious and vice versa.
If someone is both not patient and not creative then someone is not brave and vice versa.
If paul is happ... | Fred is not curious. | neutral | (![X]:(~tall(X)=>(old(X)&creative(X))))&
(![X]:((~generous(X)<~>~humble(X))=>(~tall(X)|~happy(X))))&
(![X]:((generous(X)&~humble(X))<=>(strong(X)&curious(X))))&
((?[X]:((~patient(X)&~creative(X))))<=>(?[X]:(~brave(X))))&
(((happy(paul)|strong(paul)))<=>((patient(alice)|creative(alice))))&
(![X]:((old(X)|~calm(X))<=>(pa... | ~curious(fred) | [] | null | 0 |
Everyone who is both not quiet and tall is both not wise and curious.
If lucy is both not curious and not happy then someone is either not happy or not rich.
Everyone who is not funny is either not patient or rich and vice versa.
If someone is not happy or strong then susan is either kind or quiet.
Everyone who is funn... | Alice is patient. | contradiction | (![X]:((~quiet(X)&tall(X))=>(~wise(X)&curious(X))))&
(((~curious(lucy)&~happy(lucy)))=>(?[X]:((~happy(X)<~>~rich(X)))))&
(![X]:(~funny(X)<=>(~patient(X)<~>rich(X))))&
((?[X]:((~happy(X)|strong(X))))=>((kind(susan)<~>quiet(susan))))&
(![X]:((funny(X)|humble(X))=>(~funny(X)<~>brave(X))))&
(![X]:(~funny(X)=>(quiet(X)&kind... | patient(alice) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4051365351666346751828638
% SZS output start Proof for 4051365351666346751828638
3. ! [X0] : (~funny(X0) <=> (~patient(X0) <~> rich(X0))) [input p2]
5. ! [X0] : ((humble(X0) | funny(X0)) => (~funny(X0) <~> brave(X0))) [input p4]
13. ! [X0] : (~patient(X0) <=> brave(X0)) [input p12]
14. ! ... | 0 |
If susan is both funny and not funny then someone is not rich and vice versa.
If someone is both tall and not quiet then mary is either humble or rich and vice versa.
If susan is both not brave and not strong then mary is either curious or patient.
Everyone who is either not calm or strong is both not happy and rich an... | Susan is humble. | neutral | (((funny(susan)&~funny(susan)))<=>(?[X]:(~rich(X))))&
((?[X]:((tall(X)&~quiet(X))))<=>((humble(mary)<~>rich(mary))))&
(((~brave(susan)&~strong(susan)))=>((curious(mary)<~>patient(mary))))&
(![X]:((~calm(X)<~>strong(X))<=>(~happy(X)&rich(X))))&
(![X]:((creative(X)&strong(X))=>(~wise(X)&~humble(X))))&
(((wise(john)&~calm... | humble(susan) | [] | null | 0 |
Everyone who is either not creative or generous is either not humble or not creative. If fred is funny then lucy is generous or not kind and vice versa. Everyone who is either not rich or quiet is both generous and not strong. Everyone who is patient or creative is either not patient or not generous and vice versa. Eve... | Mary is not strong. | neutral | (![X]:((~creative(X)<~>generous(X))=>(~humble(X)<~>~creative(X))))&
((funny(fred))<=>((generous(lucy)|~kind(lucy))))&
(![X]:((~rich(X)<~>quiet(X))=>(generous(X)&~strong(X))))&
(![X]:((patient(X)|creative(X))<=>(~patient(X)<~>~generous(X))))&
(![X]:(~wise(X)=>~tall(X)))&
((?[X]:((humble(X)&~brave(X))))<=>(tall(lucy)))&
... | ~strong(mary) | [] | null | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Fred is humble. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | humble(fred) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4641908691391428314910905
% SZS output start Proof for 4641908691391428314910905
2. ! [X0] : (~brave(X0) <=> (generous(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> brave(X0)) <=> (~curious(X... | 0 |
If someone is not strong or tall then someone is not wise or curious.
Everyone who is either not wise or patient is strong and vice versa.
If someone is not tall then alice is either creative or not old and vice versa.
If someone is not creative then susan is both not kind and rich.
If someone is not tall or not curiou... | Alice is not rich. | neutral | ((?[X]:((~strong(X)|tall(X))))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((~wise(X)<~>patient(X))<=>strong(X)))&
((?[X]:(~tall(X)))<=>((creative(alice)<~>~old(alice))))&
((?[X]:(~creative(X)))=>((~kind(susan)&rich(susan))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((?[X]:((~generous(X)|happy(X)))... | ~rich(alice) | [] | null | 0 |
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