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 both old and curious is calm or not calm and vice versa.
Everyone who is happy or tall is both not tall and rich.
If fred is both not old and not quiet then alice is either wise or kind.
Everyone who is both not patient and not humble is not creative.
Everyone who is both not humble and brave is either ... | Alice is brave. | entailment | (![X]:((old(X)&curious(X))<=>(calm(X)|~calm(X))))&
(![X]:((happy(X)|tall(X))=>(~tall(X)&rich(X))))&
(((~old(fred)&~quiet(fred)))=>((wise(alice)<~>kind(alice))))&
(![X]:((~patient(X)&~humble(X))=>~creative(X)))&
(![X]:((~humble(X)&brave(X))<=>(old(X)<~>brave(X))))&
(![X]:(patient(X)=>brave(X)))&
(((~wise(fred)<~>~strong... | brave(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 385807522341820777265257
% SZS output start Proof for 385807522341820777265257
1. ! [X0] : ((curious(X0) & old(X0)) <=> (~calm(X0) | calm(X0))) [input p0]
5. ! [X0] : ((brave(X0) & ~humble(X0)) <=> (old(X0) <~> brave(X0))) [input p4]
23. ~brave(alice) [input hypothesis]
39. ! [X0] : (((cu... | 0 |
Everyone who is tall is both rich and happy and vice versa. Everyone who is both not generous and not creative is not happy. Everyone who is either not curious or wise is rich or not wise and vice versa. If lucy is either strong or not humble then someone is not old or brave and vice versa. If someone is not creative t... | Paul is calm. | contradiction | (![X]:(tall(X)<=>(rich(X)&happy(X))))&
(![X]:((~generous(X)&~creative(X))=>~happy(X)))&
(![X]:((~curious(X)<~>wise(X))<=>(rich(X)|~wise(X))))&
(((strong(lucy)<~>~humble(lucy)))<=>(?[X]:((~old(X)|brave(X)))))&
((?[X]:(~creative(X)))<=>(~humble(fred)))&
(![X]:(tall(X)=>brave(X)))&
(![X]:(~wise(X)=>(wise(X)&happy(X))))&
(... | calm(paul) | [
"p0",
"p2",
"p9",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7883874738428316180539370
% SZS output start Proof for 7883874738428316180539370
1. ! [X0] : (tall(X0) <=> (happy(X0) & rich(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (~wise(X0) | rich(X0))) [input p2]
10. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~tall(X0) <~> patient... | 0 |
Everyone who is not generous or generous is strong or happy and vice versa.
Everyone who is kind or patient is either happy or not funny.
Everyone who is both not quiet and brave is either not funny or not strong and vice versa.
Everyone who is kind is not generous or generous and vice versa.
If someone is either not c... | Paul is strong. | entailment | (![X]:((~generous(X)|generous(X))<=>(strong(X)|happy(X))))&
(![X]:((kind(X)|patient(X))=>(happy(X)<~>~funny(X))))&
(![X]:((~quiet(X)&brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(~generous(X)|generous(X))))&
((?[X]:((~creative(X)<~>funny(X))))<=>(?[X]:((~humble(X)|~strong(X)))))&
(((calm(paul)|creative(paul... | strong(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1243970190766394378666168
% SZS output start Proof for 1243970190766394378666168
1. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (happy(X0) | strong(X0))) [input p0]
2. ! [X0] : ((patient(X0) | kind(X0)) => (happy(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (... | 0 |
Everyone who is either old or curious is humble. Everyone who is either humble or creative is creative and vice versa. Everyone who is not old is rich. If someone is either curious or tall then john is either rich or kind. Everyone who is not quiet or not tall is both old and wise and vice versa. Everyone who is both n... | Lucy is funny. | neutral | (![X]:((old(X)<~>curious(X))=>humble(X)))&
(![X]:((humble(X)<~>creative(X))<=>creative(X)))&
(![X]:(~old(X)=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))=>((rich(john)<~>kind(john))))&
(![X]:((~quiet(X)|~tall(X))<=>(old(X)&wise(X))))&
(![X]:((~brave(X)&old(X))<=>~humble(X)))&
(![X]:((old(X)&brave(X))=>(funny(X)|~strong(... | funny(lucy) | [] | null | 0 |
Everyone who is both old and generous is either tall or not quiet.
If mary is both funny and not calm then someone is calm or not patient.
If lucy is either brave or creative then someone is humble.
If lucy is both not kind and happy then paul is not kind and vice versa.
If mary is calm then someone is brave and vice v... | Lucy is creative. | neutral | (![X]:((old(X)&generous(X))=>(tall(X)<~>~quiet(X))))&
(((funny(mary)&~calm(mary)))=>(?[X]:((calm(X)|~patient(X)))))&
(((brave(lucy)<~>creative(lucy)))=>(?[X]:(humble(X))))&
(((~kind(lucy)&happy(lucy)))<=>(~kind(paul)))&
((calm(mary))<=>(?[X]:(brave(X))))&
(![X]:((~creative(X)|humble(X))=>funny(X)))&
(![X]:((~happy(X)<~... | creative(lucy) | [] | null | 0 |
If someone is not old then someone is both not humble and quiet and vice versa. If fred is both rich and not curious then someone is old. Everyone who is either generous or happy is either happy or quiet and vice versa. Everyone who is wise is not wise or kind. Everyone who is not patient or not happy is happy. Everyon... | Paul is not happy. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~humble(X)&quiet(X)))))&
(((rich(fred)&~curious(fred)))=>(?[X]:(old(X))))&
(![X]:((generous(X)<~>happy(X))<=>(happy(X)<~>quiet(X))))&
(![X]:(wise(X)=>(~wise(X)|kind(X))))&
(![X]:((~patient(X)|~happy(X))=>happy(X)))&
(![X]:((creative(X)|~tall(X))<=>(rich(X)|~brave(X))))&
((?[X]:((brave(X)&cre... | ~happy(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 517692392935224606628960
% SZS output start Proof for 517692392935224606628960
5. ! [X0] : ((~happy(X0) | ~patient(X0)) => happy(X0)) [input p4]
24. ~happy(paul) [input hypothesis]
32. ! [X0] : (happy(X0) | (happy(X0) & patient(X0))) [ennf transformation 5]
95. happy(X0) | happy(X0) [cnf ... | 0 |
If someone is not calm or strong then susan is either not tall or quiet and vice versa.
If someone is not humble then fred is not tall.
If fred is both not patient and tall then someone is not old or kind.
Everyone who is not calm or curious is not happy.
Everyone who is not funny or not humble is humble and vice versa... | Lucy is not calm. | contradiction | ((?[X]:((~calm(X)|strong(X))))<=>((~tall(susan)<~>quiet(susan))))&
((?[X]:(~humble(X)))=>(~tall(fred)))&
(((~patient(fred)&tall(fred)))=>(?[X]:((~old(X)|kind(X)))))&
(![X]:((~calm(X)|curious(X))=>~happy(X)))&
(![X]:((~funny(X)|~humble(X))<=>humble(X)))&
((?[X]:(~kind(X)))=>(?[X]:((brave(X)&~creative(X)))))&
((?[X]:((~c... | ~calm(lucy) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 433239553332658356273186
% SZS output start Proof for 433239553332658356273186
5. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> humble(X0)) [input p4]
19. ~humble(lucy) <~> calm(lucy) [input p18]
24. ~calm(lucy) [input hypothesis]
43. ! [X0] : (((~humble(X0) | ~funny(X0)) | ~humble(X0)) & (hum... | 0 |
If paul is not wise or not rich then someone is both not rich and not strong and vice versa. Everyone who is not funny or not wise is either not strong or quiet and vice versa. Everyone who is either brave or creative is either strong or happy and vice versa. If john is either not quiet or strong then susan is brave or... | Lucy is curious. | contradiction | (((~wise(paul)|~rich(paul)))<=>(?[X]:((~rich(X)&~strong(X)))))&
(![X]:((~funny(X)|~wise(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((brave(X)<~>creative(X))<=>(strong(X)<~>happy(X))))&
(((~quiet(john)<~>strong(john)))<=>((brave(susan)|rich(susan))))&
(![X]:((~calm(X)&~rich(X))<=>curious(X)))&
(((wise(john)|~humble(john)))=... | curious(lucy) | [
"p4",
"p11",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8680312959669057711636661
% SZS output start Proof for 8680312959669057711636661
5. ! [X0] : ((~rich(X0) & ~calm(X0)) <=> curious(X0)) [input p4]
12. ! [X0] : ((~generous(X0) & quiet(X0)) => (calm(X0) & brave(X0))) [input p11]
20. rich(lucy) <~> quiet(lucy) [input p19]
21. ~generous(lucy)... | 0 |
Everyone who is not patient or not generous is not old and vice versa.
If susan is not brave or not generous then alice is both not tall and calm.
Everyone who is both patient and brave is patient or not humble and vice versa.
If someone is either happy or quiet then lucy is both not curious and not humble and vice ver... | Susan is not funny. | contradiction | (![X]:((~patient(X)|~generous(X))<=>~old(X)))&
(((~brave(susan)|~generous(susan)))=>((~tall(alice)&calm(alice))))&
(![X]:((patient(X)&brave(X))<=>(patient(X)|~humble(X))))&
((?[X]:((happy(X)<~>quiet(X))))<=>((~curious(lucy)&~humble(lucy))))&
(![X]:((kind(X)&~wise(X))<=>(generous(X)|~tall(X))))&
(![X]:(~funny(X)=>(~curi... | ~funny(susan) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3978873767520716775818210
% SZS output start Proof for 3978873767520716775818210
6. ! [X0] : (~funny(X0) => (tall(X0) & ~curious(X0))) [input p5]
15. ! [X0] : (~calm(X0) <=> (calm(X0) | ~tall(X0))) [input p14]
23. ~funny(susan) [input hypothesis]
26. ! [X0] : ((tall(X0) & ~curious(X0)) | ... | 0 |
Everyone who is patient or not funny is humble.
If john is tall or not brave then someone is both not curious and happy.
If mary is either not brave or generous then fred is not calm or not curious and vice versa.
Everyone who is strong or not humble is strong or brave and vice versa.
Everyone who is old or not funny i... | Paul is not patient. | neutral | (![X]:((patient(X)|~funny(X))=>humble(X)))&
(((tall(john)|~brave(john)))=>(?[X]:((~curious(X)&happy(X)))))&
(((~brave(mary)<~>generous(mary)))<=>((~calm(fred)|~curious(fred))))&
(![X]:((strong(X)|~humble(X))<=>(strong(X)|brave(X))))&
(![X]:((old(X)|~funny(X))=>(brave(X)&tall(X))))&
(![X]:((~tall(X)<~>~rich(X))=>(~humbl... | ~patient(paul) | [] | null | 0 |
If someone is either not humble or calm then fred is creative and vice versa.
Everyone who is both not quiet and not wise is both not humble and strong.
If john is either not happy or wise then fred is either not calm or not happy.
If fred is either not happy or rich then someone is both not wise and not strong and vic... | Lucy is patient. | contradiction | ((?[X]:((~humble(X)<~>calm(X))))<=>(creative(fred)))&
(![X]:((~quiet(X)&~wise(X))=>(~humble(X)&strong(X))))&
(((~happy(john)<~>wise(john)))=>((~calm(fred)<~>~happy(fred))))&
(((~happy(fred)<~>rich(fred)))<=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:(rich(X)<=>(~curious(X)&~rich(X))))&
(((~wise(mary)|~curious(mary)))<=>((o... | patient(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 457258590424948643774721
% SZS output start Proof for 457258590424948643774721
7. ! [X0] : ((patient(X0) | ~humble(X0)) => (humble(X0) & ~patient(X0))) [input p6]
23. patient(lucy) [input hypothesis]
28. ! [X0] : ((humble(X0) & ~patient(X0)) | (~patient(X0) & humble(X0))) [ennf transforma... | 0 |
Everyone who is both not kind and funny is happy or not creative and vice versa.
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 happy is strong or curious and vice versa.
If john is either humble or not fu... | John is quiet. | contradiction | (![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]:((~happy(X)&~brave(X)))))&
(![X]:((~calm(X)|~happy(X))<=>(~brav... | quiet(john) | [
"p2",
"p7",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 751695629515352218698656
% SZS output start Proof for 751695629515352218698656
3. ? [X0] : (kind(X0) | creative(X0)) => ~calm(fred) [input p2]
8. (brave(john) & old(john)) <=> ~calm(fred) [input p7]
13. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p12]
22. cur... | 0 |
If john is either not patient or wise then someone is either curious or not kind. If someone is both creative and not funny then mary is not old and vice versa. Everyone who is not old is kind. Everyone who is not quiet is both wise and not happy and vice versa. Everyone who is not calm or not old is both quiet and not... | Susan is brave. | contradiction | (((~patient(john)<~>wise(john)))=>(?[X]:((curious(X)<~>~kind(X)))))&
((?[X]:((creative(X)&~funny(X))))<=>(~old(mary)))&
(![X]:(~old(X)=>kind(X)))&
(![X]:(~quiet(X)<=>(wise(X)&~happy(X))))&
(![X]:((~calm(X)|~old(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>((kind(mary)|~patient(mary))))&
(![X]:((wise(... | brave(susan) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3848402938339734775505551
% SZS output start Proof for 3848402938339734775505551
2. ? [X0] : (~funny(X0) & creative(X0)) <=> ~old(mary) [input p1]
3. ! [X0] : (~old(X0) => kind(X0)) [input p2]
5. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (~curious(X0) & quiet(X0))) [input p4]
6. ? [X0] : (calm... | 0 |
Everyone who is happy is rich or not kind.
If fred is both not wise and not curious then someone is creative and vice versa.
If paul is strong then someone is both not tall and not quiet.
Everyone who is old is rich.
If someone is both not creative and tall then paul is creative and vice versa.
If someone is humble the... | Mary is not rich. | contradiction | (![X]:(happy(X)=>(rich(X)|~kind(X))))&
(((~wise(fred)&~curious(fred)))<=>(?[X]:(creative(X))))&
((strong(paul))=>(?[X]:((~tall(X)&~quiet(X)))))&
(![X]:(old(X)=>rich(X)))&
((?[X]:((~creative(X)&tall(X))))<=>(creative(paul)))&
((?[X]:(humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:((~happy(X)&~strong(X))=>(quiet(X)... | ~rich(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 542991573374449052153133
% SZS output start Proof for 542991573374449052153133
19. old(mary) & rich(mary) [input p18]
25. ~rich(mary) [input hypothesis]
119. rich(mary) [cnf transformation 19]
129. ~rich(mary) [cnf transformation 25]
314. $false [subsumption resolution 129,119]
% SZS outp... | 0 |
Everyone who is strong or not tall is both creative and wise.
If someone is not wise or old then someone is either quiet or calm.
Everyone who is happy is both not tall and funny and vice versa.
Everyone who is both not patient and not tall is either brave or strong.
Everyone who is humble or not quiet is brave.
Everyo... | Mary is kind. | neutral | (![X]:((strong(X)|~tall(X))=>(creative(X)&wise(X))))&
((?[X]:((~wise(X)|old(X))))=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:(happy(X)<=>(~tall(X)&funny(X))))&
(![X]:((~patient(X)&~tall(X))=>(brave(X)<~>strong(X))))&
(![X]:((humble(X)|~quiet(X))=>brave(X)))&
(![X]:(happy(X)<=>(wise(X)&~calm(X))))&
((?[X]:(humble(X)))<=>((~... | kind(mary) | [] | null | 0 |
Everyone who is not generous is both not brave and not patient.
If john is not wise then fred is not strong and vice versa.
Everyone who is strong or not tall is old and vice versa.
Everyone who is calm is both not humble and not brave.
If paul is wise then someone is both not brave and quiet and vice versa.
Everyone w... | Fred is not generous. | contradiction | (![X]:(~generous(X)=>(~brave(X)&~patient(X))))&
((~wise(john))<=>(~strong(fred)))&
(![X]:((strong(X)|~tall(X))<=>old(X)))&
(![X]:(calm(X)=>(~humble(X)&~brave(X))))&
((wise(paul))<=>(?[X]:((~brave(X)&quiet(X)))))&
(![X]:(kind(X)<=>~happy(X)))&
(![X]:(quiet(X)=>(old(X)&~tall(X))))&
((?[X]:(~humble(X)))=>(~wise(fred)))&
(... | ~generous(fred) | [
"p0",
"p5",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 845235117151956632156050
% SZS output start Proof for 845235117151956632156050
1. ! [X0] : (~generous(X0) => (~patient(X0) & ~brave(X0))) [input p0]
6. ! [X0] : (kind(X0) <=> ~happy(X0)) [input p5]
14. ! [X0] : ((tall(X0) <~> patient(X0)) <=> (tall(X0) <~> kind(X0))) [input p13]
17. ~happ... | 0 |
Everyone who is rich or strong is calm.
Everyone who is both not brave and patient is either not strong or not creative and vice versa.
If susan is both strong and brave then someone is either creative or not calm and vice versa.
If someone is kind then alice is both happy and not funny and vice versa.
Everyone who is ... | Mary is not quiet. | contradiction | (![X]:((rich(X)|strong(X))=>calm(X)))&
(![X]:((~brave(X)&patient(X))<=>(~strong(X)<~>~creative(X))))&
(((strong(susan)&brave(susan)))<=>(?[X]:((creative(X)<~>~calm(X)))))&
((?[X]:(kind(X)))<=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patien... | ~quiet(mary) | [
"p0",
"p1",
"p2",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 905991975812356301553487
% SZS output start Proof for 905991975812356301553487
1. ! [X0] : ((strong(X0) | rich(X0)) => calm(X0)) [input p0]
2. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (~strong(X0) <~> ~creative(X0))) [input p1]
3. (brave(susan) & strong(susan)) <=> ? [X0] : (creative(X0) ... | 0 |
If fred is not rich then someone is happy or not happy. Everyone who is kind or not curious is not patient. If susan is either not humble or happy then someone is not patient and vice versa. Everyone who is both not happy and not humble is both old and not calm. If someone is not happy then someone is either not brave ... | Fred is curious. | entailment | ((~rich(fred))=>(?[X]:((happy(X)|~happy(X)))))&
(![X]:((kind(X)|~curious(X))=>~patient(X)))&
(((~humble(susan)<~>happy(susan)))<=>(?[X]:(~patient(X))))&
(![X]:((~happy(X)&~humble(X))=>(old(X)&~calm(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~brave(X)<~>humble(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((~generous(X)|~tall(X)))))&
(... | curious(fred) | [
"p1",
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4952482178468626869905662
% SZS output start Proof for 4952482178468626869905662
2. ! [X0] : ((~curious(X0) | kind(X0)) => ~patient(X0)) [input p1]
3. (~humble(susan) <~> happy(susan)) <=> ? [X0] : ~patient(X0) [input p2]
8. ! [X0] : ((~humble(X0) <~> rich(X0)) <=> (~happy(X0) | ~rich(X0)... | 0 |
Everyone who is either quiet or not happy is not patient and vice versa. Everyone who is either not patient or not generous is patient and vice versa. Everyone who is funny or not brave is both not generous and kind. If susan is happy then john is either not quiet or humble. If mary is both not strong and brave then pa... | Paul is strong. | contradiction | (![X]:((quiet(X)<~>~happy(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~generous(X))<=>patient(X)))&
(![X]:((funny(X)|~brave(X))=>(~generous(X)&kind(X))))&
((happy(susan))=>((~quiet(john)<~>humble(john))))&
(((~strong(mary)&brave(mary)))=>((~calm(paul)<~>~patient(paul))))&
(![X]:(~generous(X)<=>~quiet(X)))&
(![X]:(kind(X... | strong(paul) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1358497144853210733444867
% SZS output start Proof for 1358497144853210733444867
2. ! [X0] : ((~patient(X0) <~> ~generous(X0)) <=> patient(X0)) [input p1]
16. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~strong(X0) & rich(X0))) [input p15]
24. strong(paul) [input hypothesis]
38. ! [X0] : ((... | 0 |
Everyone who is not rich or not old is not rich or humble and vice versa.
Everyone who is strong is funny.
Everyone who is generous or calm is both not kind and not brave.
If mary is either quiet or humble then paul is happy.
If fred is not tall or kind then someone is either creative or kind and vice versa.
If someone... | Paul is wise. | neutral | (![X]:((~rich(X)|~old(X))<=>(~rich(X)|humble(X))))&
(![X]:(strong(X)=>funny(X)))&
(![X]:((generous(X)|calm(X))=>(~kind(X)&~brave(X))))&
(((quiet(mary)<~>humble(mary)))=>(happy(paul)))&
(((~tall(fred)|kind(fred)))<=>(?[X]:((creative(X)<~>kind(X)))))&
((?[X]:((patient(X)<~>creative(X))))<=>((~brave(john)&~kind(john))))&
... | wise(paul) | [] | null | 0 |
Everyone who is generous is either rich or quiet and vice versa.
Everyone who is either strong or generous is kind or calm and vice versa.
If someone is calm or not curious then someone is wise and vice versa.
Everyone who is both not humble and not funny is both tall and not funny.
If someone is either not tall or old... | Paul is curious. | contradiction | (![X]:(generous(X)<=>(rich(X)<~>quiet(X))))&
(![X]:((strong(X)<~>generous(X))<=>(kind(X)|calm(X))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~funny(X))=>(tall(X)&~funny(X))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((brave(X)|humble(X)))))&
(((tall(lucy)|brave(lucy)))=>(?[X]:((patient(X)&... | curious(paul) | [
"p2",
"p9",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1445119024625984510314684
% SZS output start Proof for 1445119024625984510314684
3. ? [X0] : (~curious(X0) | calm(X0)) <=> ? [X0] : wise(X0) [input p2]
10. ! [X0] : (humble(X0) => (~old(X0) & ~funny(X0))) [input p9]
13. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (~generous(X0) & ~curious(X0)))... | 0 |
Everyone who is either not strong or not wise is both not creative and not strong and vice versa.
Everyone who is both wise and humble is not quiet or funny and vice versa.
Everyone who is either not kind or kind is strong or not creative.
If john is either quiet or patient then someone is generous or not calm.
If mary... | Lucy is old. | entailment | (![X]:((~strong(X)<~>~wise(X))<=>(~creative(X)&~strong(X))))&
(![X]:((wise(X)&humble(X))<=>(~quiet(X)|funny(X))))&
(![X]:((~kind(X)<~>kind(X))=>(strong(X)|~creative(X))))&
(((quiet(john)<~>patient(john)))=>(?[X]:((generous(X)|~calm(X)))))&
(((rich(mary)<~>~quiet(mary)))<=>((curious(mary)<~>~tall(mary))))&
((?[X]:((~qui... | old(lucy) | [
"p0",
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1447489936036470732265854
% SZS output start Proof for 1447489936036470732265854
1. ! [X0] : ((~strong(X0) <~> ~wise(X0)) <=> (~strong(X0) & ~creative(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~creative(X0) | strong(X0))) [input p2]
15. ! [X0] : ((wise(X0) | strong(X0)) =... | 0 |
Everyone who is not patient is not humble and vice versa.
Everyone who is brave is either not happy or happy and vice versa.
If susan is not funny or not kind then someone is not tall.
If someone is both creative and happy then paul is not patient or not tall and vice versa.
If fred is not humble or not generous then s... | Fred is curious. | entailment | (![X]:(~patient(X)<=>~humble(X)))&
(![X]:(brave(X)<=>(~happy(X)<~>happy(X))))&
(((~funny(susan)|~kind(susan)))=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)&happy(X))))<=>((~patient(paul)|~tall(paul))))&
(((~humble(fred)|~generous(fred)))=>((~patient(susan)|~generous(susan))))&
(![X]:((brave(X)|~patient(X))<=>(~quiet(X)|~h... | curious(fred) | [
"p1",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6925537176596750047309838
% SZS output start Proof for 6925537176596750047309838
2. ! [X0] : (brave(X0) <=> (~happy(X0) <~> happy(X0))) [input p1]
14. ! [X0] : ((~curious(X0) <~> ~calm(X0)) => ~brave(X0)) [input p13]
19. calm(fred) & ~happy(fred) [input p18]
23. ~curious(fred) [input hypo... | 0 |
Everyone who is not tall is not curious and vice versa.
Everyone who is happy is both kind and curious.
Everyone who is both curious and not humble is not kind or not patient and vice versa.
Everyone who is both not wise and brave is either not wise or wise and vice versa.
Everyone who is happy or quiet is not funny an... | Paul is not old. | contradiction | (![X]:(~tall(X)<=>~curious(X)))&
(![X]:(happy(X)=>(kind(X)&curious(X))))&
(![X]:((curious(X)&~humble(X))<=>(~kind(X)|~patient(X))))&
(![X]:((~wise(X)&brave(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((happy(X)|quiet(X))<=>~funny(X)))&
(((~creative(john)&~brave(john)))<=>(?[X]:(humble(X))))&
(![X]:((~creative(X)&~strong(X))=>(... | ~old(paul) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2636411248819478629733262
% SZS output start Proof for 2636411248819478629733262
4. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (~wise(X0) <~> wise(X0))) [input p3]
21. ~wise(paul) <~> ~old(paul) [input p20]
23. ~old(paul) [input hypothesis]
41. ! [X0] : (((brave(X0) & ~wise(X0)) | ((~wise(X0) ... | 0 |
Everyone who is calm is either not rich or brave and vice versa.
If mary is both not tall and tall then someone is not brave or not kind.
If someone is both not tall and calm then lucy is either creative or not old.
If fred is not wise or not rich then someone is rich and vice versa.
Everyone who is both not old and st... | Alice is not rich. | contradiction | (![X]:(calm(X)<=>(~rich(X)<~>brave(X))))&
(((~tall(mary)&tall(mary)))=>(?[X]:((~brave(X)|~kind(X)))))&
((?[X]:((~tall(X)&calm(X))))=>((creative(lucy)<~>~old(lucy))))&
(((~wise(fred)|~rich(fred)))<=>(?[X]:(rich(X))))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X))))&
((?[X]:((~old(X)<~>tall(X))))=>(?[X]:(~quiet(X))))&
(... | ~rich(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 634143087527206812394458
% SZS output start Proof for 634143087527206812394458
13. ! [X0] : (quiet(X0) <=> (~rich(X0) & ~quiet(X0))) [input p12]
23. ~rich(alice) [input hypothesis]
61. ! [X0] : ((quiet(X0) | (rich(X0) | quiet(X0))) & ((~rich(X0) & ~quiet(X0)) | ~quiet(X0))) [nnf transform... | 0 |
Everyone who is humble is funny and vice versa.
Everyone who is not funny is either tall or kind and vice versa.
If someone is not humble then someone is brave and vice versa.
Everyone who is calm is both creative and not calm.
Everyone who is either not tall or calm is both tall and wise.
Everyone who is either strong... | Mary is calm. | contradiction | (![X]:(humble(X)<=>funny(X)))&
(![X]:(~funny(X)<=>(tall(X)<~>kind(X))))&
((?[X]:(~humble(X)))<=>(?[X]:(brave(X))))&
(![X]:(calm(X)=>(creative(X)&~calm(X))))&
(![X]:((~tall(X)<~>calm(X))=>(tall(X)&wise(X))))&
(![X]:((strong(X)<~>~patient(X))<=>(creative(X)&~brave(X))))&
(((curious(paul)<~>old(paul)))<=>(happy(susan)))&
... | calm(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7054650301358078330803069
% SZS output start Proof for 7054650301358078330803069
4. ! [X0] : (calm(X0) => (~calm(X0) & creative(X0))) [input p3]
24. calm(mary) [input hypothesis]
28. ! [X0] : ((~calm(X0) & creative(X0)) | ~calm(X0)) [ennf transformation 4]
78. ~calm(X0) | ~calm(X0) [cnf t... | 0 |
Everyone who is either rich or not generous is both happy and tall. Everyone who is not patient is not tall or wise and vice versa. If susan is either brave or creative then lucy is either not calm or not generous and vice versa. Everyone who is either not creative or not humble is not generous and vice versa. If someo... | Lucy is not rich. | entailment | (![X]:((rich(X)<~>~generous(X))=>(happy(X)&tall(X))))&
(![X]:(~patient(X)<=>(~tall(X)|wise(X))))&
(((brave(susan)<~>creative(susan)))<=>((~calm(lucy)<~>~generous(lucy))))&
(![X]:((~creative(X)<~>~humble(X))<=>~generous(X)))&
((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((~wise(X)<~>str... | ~rich(lucy) | [
"p0",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1343672440559658441771744
% SZS output start Proof for 1343672440559658441771744
1. ! [X0] : ((rich(X0) <~> ~generous(X0)) => (tall(X0) & happy(X0))) [input p0]
11. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> (humble(X0) | ~rich(X0))) [input p10]
15. ! [X0] : ((humble(X0) | happy(X0)) =>... | 0 |
If someone is not curious or happy then someone is calm or wise. Everyone who is curious or tall is funny and vice versa. If fred is not happy or kind then someone is both patient and not old and vice versa. Everyone who is both rich and not curious is either happy or kind and vice versa. Everyone who is both not patie... | Susan is wise. | neutral | ((?[X]:((~curious(X)|happy(X))))=>(?[X]:((calm(X)|wise(X)))))&
(![X]:((curious(X)|tall(X))<=>funny(X)))&
(((~happy(fred)|kind(fred)))<=>(?[X]:((patient(X)&~old(X)))))&
(![X]:((rich(X)&~curious(X))<=>(happy(X)<~>kind(X))))&
(![X]:((~patient(X)&strong(X))=>(~rich(X)&generous(X))))&
(![X]:((~brave(X)&funny(X))<=>(patient(... | wise(susan) | [] | null | 0 |
Everyone who is strong is not humble or creative. If paul is not calm or not old then someone is not strong or patient. Everyone who is humble is both not brave and not happy. Everyone who is not creative or tall is either not patient or old and vice versa. Everyone who is creative is not rich and vice versa. If someon... | Susan is rich. | contradiction | (![X]:(strong(X)=>(~humble(X)|creative(X))))&
(((~calm(paul)|~old(paul)))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:(humble(X)=>(~brave(X)&~happy(X))))&
(![X]:((~creative(X)|tall(X))<=>(~patient(X)<~>old(X))))&
(![X]:(creative(X)<=>~rich(X)))&
((?[X]:((~patient(X)&rich(X))))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((str... | rich(susan) | [
"p3",
"p4",
"p5",
"p9",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5986687660068207932765265
% SZS output start Proof for 5986687660068207932765265
4. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (~patient(X0) <~> old(X0))) [input p3]
5. ! [X0] : (creative(X0) <=> ~rich(X0)) [input p4]
6. ? [X0] : (rich(X0) & ~patient(X0)) => (happy(lucy) <~> funny(lucy)) [i... | 0 |
Everyone who is rich is not humble or not funny and vice versa.
Everyone who is not funny is either quiet or old.
Everyone who is either not curious or brave is not strong or kind.
If someone is both humble and not old then someone is tall or funny and vice versa.
If someone is not tall or not quiet then someone is eit... | John is brave. | entailment | (![X]:(rich(X)<=>(~humble(X)|~funny(X))))&
(![X]:(~funny(X)=>(quiet(X)<~>old(X))))&
(![X]:((~curious(X)<~>brave(X))=>(~strong(X)|kind(X))))&
((?[X]:((humble(X)&~old(X))))<=>(?[X]:((tall(X)|funny(X)))))&
((?[X]:((~tall(X)|~quiet(X))))=>(?[X]:((~old(X)<~>~creative(X)))))&
(((patient(fred)|happy(fred)))=>((~curious(alice)... | brave(john) | [
"p0",
"p1",
"p6",
"p7",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2913800648773766816437337
% SZS output start Proof for 2913800648773766816437337
1. ! [X0] : (rich(X0) <=> (~funny(X0) | ~humble(X0))) [input p0]
2. ! [X0] : (~funny(X0) => (quiet(X0) <~> old(X0))) [input p1]
7. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> happy(X0)) [input p6]
8. ! [X0] : (... | 0 |
Everyone who is not wise or not old is humble or wise.
If someone is not wise then someone is not rich.
If susan is not wise or wise then someone is both not happy and kind and vice versa.
If someone is not strong then someone is either tall or creative and vice versa.
If someone is not quiet then fred is both not wise... | Lucy is not creative. | entailment | (![X]:((~wise(X)|~old(X))=>(humble(X)|wise(X))))&
((?[X]:(~wise(X)))=>(?[X]:(~rich(X))))&
(((~wise(susan)|wise(susan)))<=>(?[X]:((~happy(X)&kind(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((tall(X)<~>creative(X)))))&
((?[X]:(~quiet(X)))<=>((~wise(fred)&humble(fred))))&
(![X]:((happy(X)<~>creative(X))=>~old(X)))&
(![X]:((~pat... | ~creative(lucy) | [
"p7",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6239333422693045005130311
% SZS output start Proof for 6239333422693045005130311
8. ! [X0] : ((curious(X0) | ~humble(X0)) <=> (calm(X0) | ~strong(X0))) [input p7]
10. ! [X0] : ((~creative(X0) | calm(X0)) <=> ~strong(X0)) [input p9]
14. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~old(X0) ... | 0 |
If someone is both not kind and not funny then mary is either kind or not tall. If paul is kind or tall then paul is either tall or not wise and vice versa. If someone is either humble or not generous then someone is either calm or not quiet. Everyone who is either humble or not kind is both not humble and not generous... | John is happy. | contradiction | ((?[X]:((~kind(X)&~funny(X))))=>((kind(mary)<~>~tall(mary))))&
(((kind(paul)|tall(paul)))<=>((tall(paul)<~>~wise(paul))))&
((?[X]:((humble(X)<~>~generous(X))))=>(?[X]:((calm(X)<~>~quiet(X)))))&
(![X]:((humble(X)<~>~kind(X))=>(~humble(X)&~generous(X))))&
(((~happy(paul)|~kind(paul)))<=>(strong(paul)))&
((?[X]:((old(X)&~... | happy(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5381989090435739117924486
% SZS output start Proof for 5381989090435739117924486
24. brave(john) & ~happy(john) [input p23]
25. happy(john) [input hypothesis]
143. ~happy(john) [cnf transformation 24]
145. happy(john) [cnf transformation 25]
316. $false [subsumption resolution 145,143]
% ... | 0 |
Everyone who is not wise is both rich and calm and vice versa.
Everyone who is either not wise or not tall is both not kind and not strong.
Everyone who is not calm is both kind and not humble and vice versa.
Everyone who is both not curious and not patient is either not strong or wise.
Everyone who is not generous is ... | Fred is not curious. | entailment | (![X]:(~wise(X)<=>(rich(X)&calm(X))))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)&~strong(X))))&
(![X]:(~calm(X)<=>(kind(X)&~humble(X))))&
(![X]:((~curious(X)&~patient(X))=>(~strong(X)<~>wise(X))))&
(![X]:(~generous(X)<=>(curious(X)|~quiet(X))))&
(![X]:((~old(X)|wise(X))=>(creative(X)&~patient(X))))&
(((~funny(fred)<~>qui... | ~curious(fred) | [
"p1",
"p5",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 70833423693614758681874
% SZS output start Proof for 70833423693614758681874
2. ! [X0] : ((~wise(X0) <~> ~tall(X0)) => (~strong(X0) & ~kind(X0))) [input p1]
6. ! [X0] : ((wise(X0) | ~old(X0)) => (~patient(X0) & creative(X0))) [input p5]
12. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> (~hap... | 0 |
If someone is both not generous and generous then lucy is either creative or patient. Everyone who is both not wise and strong is brave or not funny. Everyone who is calm or strong is not humble and vice versa. Everyone who is not curious is either not old or strong. Everyone who is not generous is not calm and vice ve... | Mary is not patient. | contradiction | ((?[X]:((~generous(X)&generous(X))))=>((creative(lucy)<~>patient(lucy))))&
(![X]:((~wise(X)&strong(X))=>(brave(X)|~funny(X))))&
(![X]:((calm(X)|strong(X))<=>~humble(X)))&
(![X]:(~curious(X)=>(~old(X)<~>strong(X))))&
(![X]:(~generous(X)<=>~calm(X)))&
(((rich(mary)&kind(mary)))=>((~curious(lucy)|brave(lucy))))&
((?[X]:((... | ~patient(mary) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4166102515842217914972887
% SZS output start Proof for 4166102515842217914972887
9. ! [X0] : ((rich(X0) | happy(X0)) => (funny(X0) & patient(X0))) [input p8]
19. happy(mary) & quiet(mary) [input p18]
25. ~patient(mary) [input hypothesis]
33. ! [X0] : ((funny(X0) & patient(X0)) | (~rich(X0... | 0 |
Everyone who is both humble and happy is either curious or not curious.
Everyone who is not humble or kind is not creative or kind and vice versa.
Everyone who is curious is both generous and old.
Everyone who is not tall is tall or not old.
If someone is either funny or not happy then someone is creative.
Everyone who... | John is not creative. | entailment | (![X]:((humble(X)&happy(X))=>(curious(X)<~>~curious(X))))&
(![X]:((~humble(X)|kind(X))<=>(~creative(X)|kind(X))))&
(![X]:(curious(X)=>(generous(X)&old(X))))&
(![X]:(~tall(X)=>(tall(X)|~old(X))))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:(creative(X))))&
(![X]:(~funny(X)=>(rich(X)|~generous(X))))&
((creative(alice))=>(?[... | ~creative(john) | [
"p7",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2570888140587283042551878
% SZS output start Proof for 2570888140587283042551878
8. ! [X0] : ((~rich(X0) & ~patient(X0)) <=> (~tall(X0) | ~quiet(X0))) [input p7]
12. ! [X0] : ((~strong(X0) | tall(X0)) => ~creative(X0)) [input p11]
16. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (patient(X0) &... | 0 |
Everyone who is both funny and not rich is either not patient or old and vice versa. If lucy is either rich or not generous then alice is both calm and curious. Everyone who is both creative and happy is both brave and not happy and vice versa. Everyone who is not tall or rich is not strong and vice versa. If john is b... | Mary is not happy. | neutral | (![X]:((funny(X)&~rich(X))<=>(~patient(X)<~>old(X))))&
(((rich(lucy)<~>~generous(lucy)))=>((calm(alice)&curious(alice))))&
(![X]:((creative(X)&happy(X))<=>(brave(X)&~happy(X))))&
(![X]:((~tall(X)|rich(X))<=>~strong(X)))&
(((~tall(john)&~calm(john)))=>((~kind(paul)&~strong(paul))))&
((?[X]:(~creative(X)))<=>(~funny(fred... | ~happy(mary) | [] | null | 0 |
If john is both not quiet and not funny then someone is either not curious or calm and vice versa. Everyone who is quiet or not tall is either not curious or calm and vice versa. If someone is both funny and not patient then alice is not rich or not kind and vice versa. If someone is not brave or brave then fred is eit... | Alice is kind. | entailment | (((~quiet(john)&~funny(john)))<=>(?[X]:((~curious(X)<~>calm(X)))))&
(![X]:((quiet(X)|~tall(X))<=>(~curious(X)<~>calm(X))))&
((?[X]:((funny(X)&~patient(X))))<=>((~rich(alice)|~kind(alice))))&
((?[X]:((~brave(X)|brave(X))))=>((old(fred)<~>~curious(fred))))&
((?[X]:(wise(X)))=>((~curious(alice)&~wise(alice))))&
(![X]:((~t... | kind(alice) | [
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 436156087506523520132913
% SZS output start Proof for 436156087506523520132913
5. ? [X0] : wise(X0) => (~wise(alice) & ~curious(alice)) [input p4]
16. ? [X0] : (~kind(X0) | generous(X0)) <=> (wise(alice) & creative(alice)) [input p15]
21. ? [X0] : (wise(X0) & ~quiet(X0)) [input p20]
24. ~... | 0 |
If alice is brave or not funny then paul is brave or calm.
Everyone who is either not old or old is both tall and not curious and vice versa.
Everyone who is both calm and generous is either not old or not curious.
Everyone who is not kind or rich is both funny and creative.
If someone is happy then john is both not pa... | John is not creative. | contradiction | (((brave(alice)|~funny(alice)))=>((brave(paul)|calm(paul))))&
(![X]:((~old(X)<~>old(X))<=>(tall(X)&~curious(X))))&
(![X]:((calm(X)&generous(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~kind(X)|rich(X))=>(funny(X)&creative(X))))&
((?[X]:(happy(X)))=>((~patient(john)&happy(john))))&
(![X]:((rich(X)<~>strong(X))<=>(calm(X)<~>... | ~creative(john) | [
"p1",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 155094146897285169393071
% SZS output start Proof for 155094146897285169393071
2. ! [X0] : ((~old(X0) <~> old(X0)) <=> (~curious(X0) & tall(X0))) [input p1]
4. ! [X0] : ((rich(X0) | ~kind(X0)) => (creative(X0) & funny(X0))) [input p3]
16. tall(john) <~> ~rich(john) [input p15]
23. ~creati... | 0 |
If someone is both not generous and not calm then paul is not curious.
If someone is not funny or not happy then susan is either not calm or old.
Everyone who is both not creative and not strong is either wise or creative and vice versa.
If someone is both not patient and quiet then alice is humble or tall.
If someone ... | Mary is old. | neutral | ((?[X]:((~generous(X)&~calm(X))))=>(~curious(paul)))&
((?[X]:((~funny(X)|~happy(X))))=>((~calm(susan)<~>old(susan))))&
(![X]:((~creative(X)&~strong(X))<=>(wise(X)<~>creative(X))))&
((?[X]:((~patient(X)&quiet(X))))=>((humble(alice)|tall(alice))))&
((?[X]:((~curious(X)|~happy(X))))=>(?[X]:(patient(X))))&
(((brave(fred)|~... | old(mary) | [] | null | 0 |
If alice is not rich or not strong then lucy is rich. Everyone who is not patient or not creative is generous. Everyone who is humble or not happy is both humble and not humble and vice versa. Everyone who is both happy and generous is both not wise and old. If someone is not wise then lucy is both not brave and curiou... | Paul is patient. | entailment | (((~rich(alice)|~strong(alice)))=>(rich(lucy)))&
(![X]:((~patient(X)|~creative(X))=>generous(X)))&
(![X]:((humble(X)|~happy(X))<=>(humble(X)&~humble(X))))&
(![X]:((happy(X)&generous(X))=>(~wise(X)&old(X))))&
((?[X]:(~wise(X)))=>((~brave(lucy)&curious(lucy))))&
(![X]:((~old(X)|old(X))<=>(rich(X)<~>curious(X))))&
(((~gen... | patient(paul) | [
"p1",
"p2",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3885346522972173012604930
% SZS output start Proof for 3885346522972173012604930
2. ! [X0] : ((~creative(X0) | ~patient(X0)) => generous(X0)) [input p1]
3. ! [X0] : ((~happy(X0) | humble(X0)) <=> (~humble(X0) & humble(X0))) [input p2]
4. ! [X0] : ((generous(X0) & happy(X0)) => (old(X0) & ... | 0 |
Everyone who is not patient is generous or not happy and vice versa.
Everyone who is not quiet is not brave and vice versa.
If john is both not curious and not tall then someone is not quiet or creative and vice versa.
Everyone who is rich or not curious is either not kind or happy and vice versa.
Everyone who is rich ... | Susan is creative. | contradiction | (![X]:(~patient(X)<=>(generous(X)|~happy(X))))&
(![X]:(~quiet(X)<=>~brave(X)))&
(((~curious(john)&~tall(john)))<=>(?[X]:((~quiet(X)|creative(X)))))&
(![X]:((rich(X)|~curious(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((rich(X)|~rich(X))<=>(~old(X)<~>~generous(X))))&
(((~quiet(john)|strong(john)))<=>((~curious(mary)&tall(mary... | creative(susan) | [
"p0",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6925125310948041910606442
% SZS output start Proof for 6925125310948041910606442
1. ! [X0] : (~patient(X0) <=> (~happy(X0) | generous(X0))) [input p0]
7. ! [X0] : ((~brave(X0) | generous(X0)) <=> (wise(X0) <~> humble(X0))) [input p6]
11. ? [X0] : ~humble(X0) => (patient(mary) & brave(mary... | 0 |
Everyone who is not wise is not funny and vice versa. Everyone who is generous is tall and vice versa. If fred is not brave then someone is either creative or not happy and vice versa. If paul is both not strong and not old then someone is not tall or not brave and vice versa. Everyone who is not rich is strong and vic... | Lucy is not curious. | entailment | (![X]:(~wise(X)<=>~funny(X)))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
((?[X]:((calm(X)|happy(X))))=>((~wise... | ~curious(lucy) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2829570994702338923276723
% SZS output start Proof for 2829570994702338923276723
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
If mary is not curious then someone is both strong and not curious and vice versa.
Everyone who is both rich and not patient is tall and vice versa.
If someone is brave then susan is kind.
Everyone who is not curious is both quiet and kind and vice versa.
Everyone who is not creative or not curious is not patient and v... | Alice is not old. | contradiction | ((~curious(mary))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:((rich(X)&~patient(X))<=>tall(X)))&
((?[X]:(brave(X)))=>(kind(susan)))&
(![X]:(~curious(X)<=>(quiet(X)&kind(X))))&
(![X]:((~creative(X)|~curious(X))<=>~patient(X)))&
((?[X]:(~old(X)))<=>((creative(paul)|calm(paul))))&
(![X]:((~funny(X)<~>rich(X))<=>(wise(X)&~... | ~old(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1633966102669047626770364
% SZS output start Proof for 1633966102669047626770364
10. ! [X0] : (~old(X0) => (old(X0) & happy(X0))) [input p9]
25. ~old(alice) [input hypothesis]
32. ! [X0] : ((old(X0) & happy(X0)) | old(X0)) [ennf transformation 10]
102. old(X0) | old(X0) [cnf transformatio... | 0 |
Everyone who is both kind and creative is both not tall and not humble and vice versa.
If someone is either not tall or not patient then fred is kind or humble.
Everyone who is not strong or quiet is not calm and vice versa.
If someone is either calm or curious then someone is both generous and curious.
If john is gene... | Susan is calm. | contradiction | (![X]:((kind(X)&creative(X))<=>(~tall(X)&~humble(X))))&
((?[X]:((~tall(X)<~>~patient(X))))=>((kind(fred)|humble(fred))))&
(![X]:((~strong(X)|quiet(X))<=>~calm(X)))&
((?[X]:((calm(X)<~>curious(X))))=>(?[X]:((generous(X)&curious(X)))))&
(((generous(john)|~creative(john)))=>((~kind(paul)&~calm(paul))))&
(((strong(mary)&~b... | calm(susan) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2803092665276664723994022
% SZS output start Proof for 2803092665276664723994022
3. ! [X0] : ((quiet(X0) | ~strong(X0)) <=> ~calm(X0)) [input p2]
11. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (~strong(X0) | strong(X0))) [input p10]
23. calm(susan) [input hypothesis]
38. ! [X0] : (((quiet(X0)... | 0 |
If lucy is either not strong or not humble then someone is not kind or not patient.
Everyone who is either not funny or creative is wise and vice versa.
Everyone who is both not rich and humble is not funny or not quiet and vice versa.
Everyone who is not creative is not rich and vice versa.
Everyone who is not humble ... | John is not wise. | contradiction | (((~strong(lucy)<~>~humble(lucy)))=>(?[X]:((~kind(X)|~patient(X)))))&
(![X]:((~funny(X)<~>creative(X))<=>wise(X)))&
(![X]:((~rich(X)&humble(X))<=>(~funny(X)|~quiet(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:(~humble(X)<=>~wise(X)))&
(![X]:((creative(X)<~>~kind(X))=>(curious(X)<~>wise(X))))&
((?[X]:((~rich(X)<~>~wis... | ~wise(john) | [
"p2",
"p4",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6300847592747357899712516
% SZS output start Proof for 6300847592747357899712516
3. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~quiet(X0) | ~funny(X0))) [input p2]
5. ! [X0] : (~humble(X0) <=> ~wise(X0)) [input p4]
10. ! [X0] : (~wise(X0) <=> ~patient(X0)) [input p9]
12. ! [X0] : ((funny(X0)... | 0 |
Everyone who is humble or curious is strong.
Everyone who is not brave or humble is not generous or curious and vice versa.
Everyone who is both not strong and rich is both not curious and not strong and vice versa.
Everyone who is happy or funny is either not strong or patient.
Everyone who is strong or patient is not... | Alice is wise. | contradiction | (![X]:((humble(X)|curious(X))=>strong(X)))&
(![X]:((~brave(X)|humble(X))<=>(~generous(X)|curious(X))))&
(![X]:((~strong(X)&rich(X))<=>(~curious(X)&~strong(X))))&
(![X]:((happy(X)|funny(X))=>(~strong(X)<~>patient(X))))&
(![X]:((strong(X)|patient(X))<=>~wise(X)))&
(![X]:((~patient(X)|~kind(X))<=>(funny(X)&~happy(X))))&
(... | wise(alice) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7643914894336804519298894
% SZS output start Proof for 7643914894336804519298894
1. ! [X0] : ((curious(X0) | humble(X0)) => strong(X0)) [input p0]
2. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (curious(X0) | ~generous(X0))) [input p1]
3. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (~strong(X0) & ... | 0 |
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Fred is not quiet. | entailment | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | ~quiet(fred) | [
"p3",
"p5",
"p7",
"p10",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6082411623807520136908041
% SZS output start Proof for 6082411623807520136908041
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
6. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p5]
8. ! [X0] : ((~strong(... | 0 |
Everyone who is brave is either humble or not patient. Everyone who is rich or strong is not rich or not creative and vice versa. If someone is both calm and not patient then someone is either not old or kind and vice versa. Everyone who is either patient or not kind is either creative or not funny and vice versa. If l... | John is calm. | contradiction | (![X]:(brave(X)=>(humble(X)<~>~patient(X))))&
(![X]:((rich(X)|strong(X))<=>(~rich(X)|~creative(X))))&
((?[X]:((calm(X)&~patient(X))))<=>(?[X]:((~old(X)<~>kind(X)))))&
(![X]:((patient(X)<~>~kind(X))<=>(creative(X)<~>~funny(X))))&
(((~creative(lucy)&brave(lucy)))<=>(?[X]:((~tall(X)<~>quiet(X)))))&
(![X]:((~calm(X)&~old(X... | calm(john) | [
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9123622476075505808419088
% SZS output start Proof for 9123622476075505808419088
17. generous(john) & old(john) [input p16]
20. old(john) <~> calm(john) [input p19]
25. calm(john) [input hypothesis]
73. (~calm(john) | ~old(john)) & (calm(john) | old(john)) [nnf transformation 20]
146. old... | 0 |
If someone is not old then someone is either not old or not rich and vice versa.
Everyone who is either tall or brave is both not humble and humble and vice versa.
If mary is either humble or kind then someone is both humble and generous.
If someone is not funny then paul is either not calm or not tall.
If fred is eith... | Paul is not humble. | neutral | ((?[X]:(~old(X)))<=>(?[X]:((~old(X)<~>~rich(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~humble(X)&humble(X))))&
(((humble(mary)<~>kind(mary)))=>(?[X]:((humble(X)&generous(X)))))&
((?[X]:(~funny(X)))=>((~calm(paul)<~>~tall(paul))))&
(((brave(fred)<~>happy(fred)))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:(funny(X)<=>(~fun... | ~humble(paul) | [] | null | 0 |
Everyone who is either not humble or not happy is either not happy or curious and vice versa.
If lucy is both not curious and not strong then someone is either not brave or not patient and vice versa.
Everyone who is either not tall or quiet is brave or not calm.
Everyone who is either not kind or not rich is either no... | Fred is not calm. | contradiction | (![X]:((~humble(X)<~>~happy(X))<=>(~happy(X)<~>curious(X))))&
(((~curious(lucy)&~strong(lucy)))<=>(?[X]:((~brave(X)<~>~patient(X)))))&
(![X]:((~tall(X)<~>quiet(X))=>(brave(X)|~calm(X))))&
(![X]:((~kind(X)<~>~rich(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((tall(X)|~funny(X))<=>(~wise(X)|wise(X))))&
(![X]:((funny(X)<~>ric... | ~calm(fred) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6841618771502258313966241
% SZS output start Proof for 6841618771502258313966241
11. ! [X0] : (~calm(X0) <=> generous(X0)) [input p10]
20. ~generous(fred) & creative(fred) [input p19]
24. ~calm(fred) [input hypothesis]
51. ! [X0] : ((~calm(X0) | ~generous(X0)) & (generous(X0) | calm(X0)))... | 0 |
Everyone who is either not funny or rich is patient. If someone is both quiet and not funny then paul is either not patient or brave. Everyone who is not old is both not generous and not happy and vice versa. Everyone who is old is both curious and humble and vice versa. Everyone who is both humble and not tall is not ... | Mary is not creative. | contradiction | (![X]:((~funny(X)<~>rich(X))=>patient(X)))&
((?[X]:((quiet(X)&~funny(X))))=>((~patient(paul)<~>brave(paul))))&
(![X]:(~old(X)<=>(~generous(X)&~happy(X))))&
(![X]:(old(X)<=>(curious(X)&humble(X))))&
(![X]:((humble(X)&~tall(X))=>(~rich(X)|~creative(X))))&
((?[X]:((~curious(X)|happy(X))))=>((funny(mary)&~tall(mary))))&
(!... | ~creative(mary) | [
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 223088711493179464760906
% SZS output start Proof for 223088711493179464760906
4. ! [X0] : (old(X0) <=> (humble(X0) & curious(X0))) [input p3]
8. ! [X0] : ((creative(X0) <~> ~humble(X0)) => (quiet(X0) & brave(X0))) [input p7]
11. ! [X0] : ((~creative(X0) | happy(X0)) <=> (~curious(X0) & p... | 0 |
If someone is either kind or not calm then someone is both humble and not happy and vice versa.
If someone is both not tall and not happy then paul is both funny and not humble and vice versa.
Everyone who is not humble is either creative or not calm.
Everyone who is both patient and happy is both tall and happy.
Every... | John is quiet. | entailment | ((?[X]:((kind(X)<~>~calm(X))))<=>(?[X]:((humble(X)&~happy(X)))))&
((?[X]:((~tall(X)&~happy(X))))<=>((funny(paul)&~humble(paul))))&
(![X]:(~humble(X)=>(creative(X)<~>~calm(X))))&
(![X]:((patient(X)&happy(X))=>(tall(X)&happy(X))))&
(![X]:(generous(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((strong(X)<~>~generous(X))))<=>((~... | quiet(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1016446910358881408651610
% SZS output start Proof for 1016446910358881408651610
5. ! [X0] : (generous(X0) <=> (quiet(X0) | ~generous(X0))) [input p4]
24. ~quiet(john) [input hypothesis]
46. ! [X0] : ((generous(X0) | (~quiet(X0) & generous(X0))) & ((quiet(X0) | ~generous(X0)) | ~generous(... | 0 |
Everyone who is patient is not kind and vice versa. If someone is either not patient or funny then fred is both not rich and not creative and vice versa. If mary is either not curious or happy then someone is not old and vice versa. If paul is both not humble and not brave then john is not wise or kind and vice versa. ... | Susan is not kind. | entailment | (![X]:(patient(X)<=>~kind(X)))&
((?[X]:((~patient(X)<~>funny(X))))<=>((~rich(fred)&~creative(fred))))&
(((~curious(mary)<~>happy(mary)))<=>(?[X]:(~old(X))))&
(((~humble(paul)&~brave(paul)))<=>((~wise(john)|kind(john))))&
((?[X]:((quiet(X)&humble(X))))<=>((~wise(lucy)|~happy(lucy))))&
(![X]:((generous(X)|~patient(X))=>(... | ~kind(susan) | [
"p0",
"p5",
"p6",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7154660444481124878576655
% SZS output start Proof for 7154660444481124878576655
1. ! [X0] : (patient(X0) <=> ~kind(X0)) [input p0]
6. ! [X0] : ((~patient(X0) | generous(X0)) => (~happy(X0) | ~kind(X0))) [input p5]
7. ! [X0] : (~tall(X0) <=> (~happy(X0) & ~brave(X0))) [input p6]
9. ! [X0]... | 0 |
Everyone who is either strong or brave is brave or calm. Everyone who is strong is calm. If someone is either not old or wise then mary is both not funny and not humble. If susan is both humble and rich then someone is not curious or generous. Everyone who is both not generous and not humble is brave or not patient. If... | Lucy is not generous. | neutral | (![X]:((strong(X)<~>brave(X))=>(brave(X)|calm(X))))&
(![X]:(strong(X)=>calm(X)))&
((?[X]:((~old(X)<~>wise(X))))=>((~funny(mary)&~humble(mary))))&
(((humble(susan)&rich(susan)))=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:((~generous(X)&~humble(X))=>(brave(X)|~patient(X))))&
(((~humble(john)&~wise(john)))=>((tall(fred)<... | ~generous(lucy) | [] | null | 0 |
Everyone who is either generous or curious is wise. If paul is both generous and kind then someone 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 ... | John is not calm. | entailment | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((generous(paul)&kind(paul)))=>(?[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))))=>... | ~calm(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4310209361955554435605608
% SZS output start Proof for 4310209361955554435605608
14. ! [X0] : (~strong(X0) <=> (~strong(X0) <~> calm(X0))) [input p13]
24. calm(john) [input hypothesis]
62. ! [X0] : ((~strong(X0) | ((~strong(X0) | ~calm(X0)) & (calm(X0) | strong(X0)))) & (((~calm(X0) | str... | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Lucy is generous. | contradiction | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | generous(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7365529266887759166139455
% SZS output start Proof for 7365529266887759166139455
1. ~generous(lucy) <=> (calm(lucy) | old(lucy)) [input p0]
3. ! [X0] : ((patient(X0) | old(X0)) <=> old(X0)) [input p2]
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0))) [input p4]
7. ! [X0] : (... | 0 |
Everyone who is generous or not generous is strong and vice versa. Everyone who is not wise is either happy or not brave and vice versa. If paul is not rich or old then lucy is calm or kind. If someone is not quiet or rich then susan is tall. If someone is either not old or not creative then mary is either not happy or... | Mary is not strong. | contradiction | (![X]:((generous(X)|~generous(X))<=>strong(X)))&
(![X]:(~wise(X)<=>(happy(X)<~>~brave(X))))&
(((~rich(paul)|old(paul)))=>((calm(lucy)|kind(lucy))))&
((?[X]:((~quiet(X)|rich(X))))=>(tall(susan)))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((... | ~strong(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4441593211904529149570794
% SZS output start Proof for 4441593211904529149570794
1. ! [X0] : ((~generous(X0) | generous(X0)) <=> strong(X0)) [input p0]
21. ~strong(mary) [input hypothesis]
35. ! [X0] : (((~generous(X0) | generous(X0)) | ~strong(X0)) & (strong(X0) | (generous(X0) & ~genero... | 0 |
If paul is not generous then someone is both rich and funny and vice versa. Everyone who is both not quiet and not patient is either not humble or not brave. Everyone who is both happy and humble is brave and vice versa. Everyone who is not happy is both not curious and not brave. If someone is either old or patient th... | Fred is not quiet. | contradiction | ((~generous(paul))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((~quiet(X)&~patient(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((happy(X)&humble(X))<=>brave(X)))&
(![X]:(~happy(X)=>(~curious(X)&~brave(X))))&
((?[X]:((old(X)<~>patient(X))))=>(?[X]:((~kind(X)&~wise(X)))))&
((happy(paul))=>((tall(paul)|humble(paul))))&
(((~tall(fre... | ~quiet(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 518101198169185210752457
% SZS output start Proof for 518101198169185210752457
13. ! [X0] : (~generous(X0) <=> (~quiet(X0) & generous(X0))) [input p12]
24. ~quiet(fred) [input hypothesis]
69. ! [X0] : ((~generous(X0) | (quiet(X0) | ~generous(X0))) & ((~quiet(X0) & generous(X0)) | generous... | 0 |
If someone is either strong or funny then fred is old or strong.
If someone is both not rich and brave then john is old or not patient.
Everyone who is not wise or not humble is not quiet.
If alice is tall then fred is both rich and not curious and vice versa.
Everyone who is humble or creative is both generous and not... | Lucy is not tall. | neutral | ((?[X]:((strong(X)<~>funny(X))))=>((old(fred)|strong(fred))))&
((?[X]:((~rich(X)&brave(X))))=>((old(john)|~patient(john))))&
(![X]:((~wise(X)|~humble(X))=>~quiet(X)))&
((tall(alice))<=>((rich(fred)&~curious(fred))))&
(![X]:((humble(X)|creative(X))<=>(generous(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~creative(X)<~>rich(X)))... | ~tall(lucy) | [] | null | 0 |
Everyone who is either patient or not happy is either not rich or patient and vice versa.
If someone is either not strong or not happy then mary is both creative and not rich and vice versa.
If susan is not creative then someone is brave or not tall and vice versa.
If someone is both old and generous then susan is funn... | Fred is not brave. | neutral | (![X]:((patient(X)<~>~happy(X))<=>(~rich(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>~happy(X))))<=>((creative(mary)&~rich(mary))))&
((~creative(susan))<=>(?[X]:((brave(X)|~tall(X)))))&
((?[X]:((old(X)&generous(X))))<=>((funny(susan)|~quiet(susan))))&
(![X]:((~rich(X)|~brave(X))<=>(quiet(X)&~generous(X))))&
(![X]:((~calm... | ~brave(fred) | [] | null | 0 |
If someone is not generous or not humble then lucy is either not old or rich.
Everyone who is both strong and not strong is not happy and vice versa.
Everyone who is either curious or not generous is calm or curious and vice versa.
If paul is either not old or not funny then someone is both happy and old.
Everyone who ... | Mary is creative. | contradiction | ((?[X]:((~generous(X)|~humble(X))))=>((~old(lucy)<~>rich(lucy))))&
(![X]:((strong(X)&~strong(X))<=>~happy(X)))&
(![X]:((curious(X)<~>~generous(X))<=>(calm(X)|curious(X))))&
(((~old(paul)<~>~funny(paul)))=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~rich(X)|~generous(X))<=>~old(X)))&
(![X]:(~funny(X)=>(~brave(X)<~>~funny(X)))... | creative(mary) | [
"p7",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3225024132550472824692656
% SZS output start Proof for 3225024132550472824692656
8. ! [X0] : ((~tall(X0) | strong(X0)) <=> (generous(X0) | ~strong(X0))) [input p7]
12. ! [X0] : ((~creative(X0) <~> ~tall(X0)) => (~generous(X0) & quiet(X0))) [input p11]
14. ! [X0] : (kind(X0) => (~generous(... | 0 |
If someone is both curious and old then someone is both quiet and not happy and vice versa.
If mary is either not brave or not patient then someone is both creative and not rich and vice versa.
Everyone who is not humble or strong is not creative and vice versa.
Everyone who is both tall and wise is both not happy and ... | Fred is kind. | entailment | ((?[X]:((curious(X)&old(X))))<=>(?[X]:((quiet(X)&~happy(X)))))&
(((~brave(mary)<~>~patient(mary)))<=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((~humble(X)|strong(X))<=>~creative(X)))&
(![X]:((tall(X)&wise(X))=>(~happy(X)&~creative(X))))&
(![X]:(generous(X)<=>(creative(X)|brave(X))))&
(![X]:(calm(X)<=>(calm(X)<~>~kind(X)... | kind(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1905460981852646742789802
% SZS output start Proof for 1905460981852646742789802
6. ! [X0] : (calm(X0) <=> (calm(X0) <~> ~kind(X0))) [input p5]
25. ~kind(fred) [input hypothesis]
49. ! [X0] : ((calm(X0) | ((calm(X0) | kind(X0)) & (~kind(X0) | ~calm(X0)))) & (((kind(X0) | ~calm(X0)) & (~ki... | 0 |
Everyone who is not curious is kind and vice versa. If someone is either not strong or quiet then someone is not brave. If alice is either tall or not generous then mary is both not creative and not patient. Everyone who is either brave or strong is either not funny or not strong. If someone is either not old or calm t... | Mary is not brave. | entailment | (![X]:(~curious(X)<=>kind(X)))&
((?[X]:((~strong(X)<~>quiet(X))))=>(?[X]:(~brave(X))))&
(((tall(alice)<~>~generous(alice)))=>((~creative(mary)&~patient(mary))))&
(![X]:((brave(X)<~>strong(X))=>(~funny(X)<~>~strong(X))))&
((?[X]:((~old(X)<~>calm(X))))=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((~patient(X)|wise(X))<=>(~... | ~brave(mary) | [
"p0",
"p3",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 50572814177725562937911
% SZS output start Proof for 50572814177725562937911
1. ! [X0] : (~curious(X0) <=> kind(X0)) [input p0]
4. ! [X0] : ((brave(X0) <~> strong(X0)) => (~funny(X0) <~> ~strong(X0))) [input p3]
14. ! [X0] : (kind(X0) <=> (old(X0) & ~funny(X0))) [input p13]
19. ~curious(m... | 0 |
Everyone who is strong or not curious is either not strong or not patient and vice versa.
Everyone who is humble is both calm and creative and vice versa.
Everyone who is kind is not wise or not creative.
If john is not humble then alice is either not old or old.
If mary is not calm or not brave then susan is tall.
Eve... | Mary is not quiet. | neutral | (![X]:((strong(X)|~curious(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:(humble(X)<=>(calm(X)&creative(X))))&
(![X]:(kind(X)=>(~wise(X)|~creative(X))))&
((~humble(john))=>((~old(alice)<~>old(alice))))&
(((~calm(mary)|~brave(mary)))=>(tall(susan)))&
(![X]:((old(X)<~>~strong(X))=>tall(X)))&
(((~kind(susan)|kind(susan)))=>(~... | ~quiet(mary) | [] | null | 0 |
Everyone who is both wise and not quiet is not funny and vice versa.
If lucy is not tall then someone is either humble or not patient and vice versa.
If alice is either not calm or generous then someone is creative or not kind and vice versa.
Everyone who is not strong or funny is not strong and vice versa.
Everyone wh... | Alice is not quiet. | contradiction | (![X]:((wise(X)&~quiet(X))<=>~funny(X)))&
((~tall(lucy))<=>(?[X]:((humble(X)<~>~patient(X)))))&
(((~calm(alice)<~>generous(alice)))<=>(?[X]:((creative(X)|~kind(X)))))&
(![X]:((~strong(X)|funny(X))<=>~strong(X)))&
(![X]:((quiet(X)&~rich(X))<=>(humble(X)<~>~old(X))))&
(((wise(paul)<~>curious(paul)))<=>((curious(mary)&~ki... | ~quiet(alice) | [
"p9",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3546432074618695215448140
% SZS output start Proof for 3546432074618695215448140
10. ! [X0] : ((brave(X0) | ~rich(X0)) => wise(X0)) [input p9]
19. brave(alice) | quiet(alice) [input p18]
21. tall(alice) & ~wise(alice) [input p20]
24. ~quiet(alice) [input hypothesis]
28. ! [X0] : (wise(X0)... | 0 |
If someone is not calm then paul is not calm or not patient and vice versa.
Everyone who is not happy is either not curious or not funny.
Everyone who is both tall and not wise is either tall or not brave.
If someone is not wise or brave then paul is not quiet and vice versa.
Everyone who is both happy and generous is ... | Susan is not funny. | contradiction | ((?[X]:(~calm(X)))<=>((~calm(paul)|~patient(paul))))&
(![X]:(~happy(X)=>(~curious(X)<~>~funny(X))))&
(![X]:((tall(X)&~wise(X))=>(tall(X)<~>~brave(X))))&
((?[X]:((~wise(X)|brave(X))))<=>(~quiet(paul)))&
(![X]:((happy(X)&generous(X))<=>old(X)))&
(![X]:((~creative(X)&wise(X))=>(kind(X)<~>curious(X))))&
((?[X]:((wise(X)|~f... | ~funny(susan) | [
"p1",
"p4",
"p7",
"p8",
"p10",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1026492064144508021384110
% SZS output start Proof for 1026492064144508021384110
2. ! [X0] : (~happy(X0) => (~curious(X0) <~> ~funny(X0))) [input p1]
5. ! [X0] : ((generous(X0) & happy(X0)) <=> old(X0)) [input p4]
8. ! [X0] : ((~patient(X0) & kind(X0)) <=> (old(X0) <~> ~wise(X0))) [input ... | 0 |
If susan is brave then susan is not calm. If paul is both not generous and not strong then someone is humble or strong. If someone is rich then someone is both curious and wise. Everyone who is both old and curious is not generous or quiet and vice versa. If someone is both not calm and curious then fred is both not wi... | Susan is not generous. | entailment | ((brave(susan))=>(~calm(susan)))&
(((~generous(paul)&~strong(paul)))=>(?[X]:((humble(X)|strong(X)))))&
((?[X]:(rich(X)))=>(?[X]:((curious(X)&wise(X)))))&
(![X]:((old(X)&curious(X))<=>(~generous(X)|quiet(X))))&
((?[X]:((~calm(X)&curious(X))))<=>((~wise(fred)&happy(fred))))&
(![X]:((~quiet(X)&~strong(X))=>(kind(X)&rich(X... | ~generous(susan) | [
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1099761391924814421842230
% SZS output start Proof for 1099761391924814421842230
6. ! [X0] : ((~strong(X0) & ~quiet(X0)) => (rich(X0) & kind(X0))) [input p5]
10. ! [X0] : ((rich(X0) | quiet(X0)) => ~generous(X0)) [input p9]
15. ! [X0] : (strong(X0) => (~calm(X0) & quiet(X0))) [input p14]
... | 0 |
If someone is both not creative and strong then someone is not old or creative and vice versa. Everyone who is rich is not generous and vice versa. Everyone who is funny is generous or not curious and vice versa. If someone is curious or calm then lucy is tall. Everyone who is rich or not tall is either funny or patien... | John is strong. | contradiction | ((?[X]:((~creative(X)&strong(X))))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:(rich(X)<=>~generous(X)))&
(![X]:(funny(X)<=>(generous(X)|~curious(X))))&
((?[X]:((curious(X)|calm(X))))=>(tall(lucy)))&
(![X]:((rich(X)|~tall(X))=>(funny(X)<~>patient(X))))&
((?[X]:((curious(X)|~patient(X))))<=>(?[X]:((~brave(X)|~patient(X))))... | strong(john) | [
"p2",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6805378078290824567542855
% SZS output start Proof for 6805378078290824567542855
3. ! [X0] : (funny(X0) <=> (~curious(X0) | generous(X0))) [input p2]
10. ? [X0] : (~humble(X0) | ~rich(X0)) => humble(john) [input p9]
11. ! [X0] : ((quiet(X0) | ~funny(X0)) <=> (generous(X0) | ~strong(X0))) ... | 0 |
Everyone who is either not old or happy is both kind and not rich.
Everyone who is not old is either kind or not brave and vice versa.
Everyone who is not funny is quiet or not quiet.
Everyone who is either funny or wise is not happy.
Everyone who is either wise or humble is either not tall or not rich and vice versa.
... | Lucy is generous. | entailment | (![X]:((~old(X)<~>happy(X))=>(kind(X)&~rich(X))))&
(![X]:(~old(X)<=>(kind(X)<~>~brave(X))))&
(![X]:(~funny(X)=>(quiet(X)|~quiet(X))))&
(![X]:((funny(X)<~>wise(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~tall(X)<~>~rich(X))))&
(![X]:((~tall(X)<~>funny(X))=>(~generous(X)|wise(X))))&
(![X]:((happy(X)<~>generous(X))... | generous(lucy) | [
"p0",
"p1",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7449682148303496150737322
% SZS output start Proof for 7449682148303496150737322
1. ! [X0] : ((~old(X0) <~> happy(X0)) => (~rich(X0) & kind(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (kind(X0) <~> ~brave(X0))) [input p1]
7. ! [X0] : ((happy(X0) <~> generous(X0)) => (~happy(X0) & calm(X0))... | 0 |
Everyone who is either not curious or quiet is either humble or brave.
If someone is not tall then someone is either kind or creative and vice versa.
If someone is not kind or old then someone is either strong or rich.
Everyone who is both not funny and not quiet is patient and vice versa.
If someone is not quiet then ... | Alice is wise. | neutral | (![X]:((~curious(X)<~>quiet(X))=>(humble(X)<~>brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((kind(X)<~>creative(X)))))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:((strong(X)<~>rich(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>patient(X)))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)<~>~patient(X)))))&
(![X]:((~quiet(X)|~wise(X))=>(humble(... | wise(alice) | [] | null | 0 |
If someone is not patient then someone is either not tall or not rich and vice versa.
If alice is kind or not creative then john is not calm and vice versa.
Everyone who is either not humble or kind is not strong and vice versa.
Everyone who is old or generous is both not funny and old and vice versa.
If fred is both s... | Lucy is calm. | entailment | ((?[X]:(~patient(X)))<=>(?[X]:((~tall(X)<~>~rich(X)))))&
(((kind(alice)|~creative(alice)))<=>(~calm(john)))&
(![X]:((~humble(X)<~>kind(X))<=>~strong(X)))&
(![X]:((old(X)|generous(X))<=>(~funny(X)&old(X))))&
(((strong(fred)&~wise(fred)))<=>(?[X]:(~humble(X))))&
(![X]:(~creative(X)<=>(~tall(X)|strong(X))))&
(((~kind(lucy... | calm(lucy) | [
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3842388043677743317804168
% SZS output start Proof for 3842388043677743317804168
12. ! [X0] : ((quiet(X0) & ~wise(X0)) <=> (~kind(X0) <~> kind(X0))) [input p11]
24. ~calm(lucy) <~> quiet(lucy) [input p23]
25. ~calm(lucy) [input hypothesis]
64. ! [X0] : (((quiet(X0) & ~wise(X0)) | ((~kind(... | 0 |
Everyone who is tall or generous is either not calm or calm and vice versa. Everyone who is happy is either patient or creative. Everyone who is either not strong or not old is both not calm and not patient. If someone is both humble and not creative then someone is not old or not humble. Everyone who is either not hum... | Mary is curious. | entailment | (![X]:((tall(X)|generous(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(happy(X)=>(patient(X)<~>creative(X))))&
(![X]:((~strong(X)<~>~old(X))=>(~calm(X)&~patient(X))))&
((?[X]:((humble(X)&~creative(X))))=>(?[X]:((~old(X)|~humble(X)))))&
(![X]:((~humble(X)<~>~kind(X))<=>(~wise(X)&~patient(X))))&
(![X]:((~kind(X)|curious(X))<=>(hu... | curious(mary) | [
"p1",
"p4",
"p5",
"p9",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4447504259286291626733668
% SZS output start Proof for 4447504259286291626733668
2. ! [X0] : (happy(X0) => (patient(X0) <~> creative(X0))) [input p1]
5. ! [X0] : ((~humble(X0) <~> ~kind(X0)) <=> (~patient(X0) & ~wise(X0))) [input p4]
6. ! [X0] : ((curious(X0) | ~kind(X0)) <=> (humble(X0) ... | 0 |
Everyone who is funny or not generous is not tall. If paul is both not wise and creative then someone is either tall or brave and vice versa. If fred is either quiet or humble then someone is both not kind and kind and vice versa. If john is either not quiet or not calm then john is humble or calm. If paul is not curio... | Paul is not kind. | neutral | (![X]:((funny(X)|~generous(X))=>~tall(X)))&
(((~wise(paul)&creative(paul)))<=>(?[X]:((tall(X)<~>brave(X)))))&
(((quiet(fred)<~>humble(fred)))<=>(?[X]:((~kind(X)&kind(X)))))&
(((~quiet(john)<~>~calm(john)))=>((humble(john)|calm(john))))&
((~curious(paul))=>(?[X]:((creative(X)<~>rich(X)))))&
(![X]:(~generous(X)=>kind(X))... | ~kind(paul) | [] | null | 0 |
If john is quiet then someone is humble or not creative and vice versa. If someone is both not humble and generous then paul is either not generous or funny and vice versa. If someone is both not creative and rich then someone is patient or curious and vice versa. Everyone who is not strong or strong is either strong o... | John is not rich. | contradiction | ((quiet(john))<=>(?[X]:((humble(X)|~creative(X)))))&
((?[X]:((~humble(X)&generous(X))))<=>((~generous(paul)<~>funny(paul))))&
((?[X]:((~creative(X)&rich(X))))<=>(?[X]:((patient(X)|curious(X)))))&
(![X]:((~strong(X)|strong(X))=>(strong(X)<~>kind(X))))&
(((funny(susan)<~>generous(susan)))<=>(?[X]:((brave(X)|~funny(X)))))... | ~rich(john) | [
"p0",
"p2",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7365765494637736104725056
% SZS output start Proof for 7365765494637736104725056
1. quiet(john) <=> ? [X0] : (~creative(X0) | humble(X0)) [input p0]
3. ? [X0] : (rich(X0) & ~creative(X0)) <=> ? [X0] : (curious(X0) | patient(X0)) [input p2]
16. ! [X0] : ((~rich(X0) <~> quiet(X0)) <=> (~wis... | 0 |
Everyone who is not humble or not strong is both not humble and generous and vice versa.
If someone is both not wise and curious then susan is not calm or happy and vice versa.
If someone is either happy or not strong then mary is both not happy and not strong.
Everyone who is both not strong and not creative is either... | Paul is kind. | neutral | (![X]:((~humble(X)|~strong(X))<=>(~humble(X)&generous(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~calm(susan)|happy(susan))))&
((?[X]:((happy(X)<~>~strong(X))))=>((~happy(mary)&~strong(mary))))&
(![X]:((~strong(X)&~creative(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((calm(john)|~strong(john))))&
... | kind(paul) | [] | null | 0 |
Everyone who is both not strong and not curious is tall or not strong.
If susan is calm or curious then paul is both not creative and not old.
If john is not humble then paul is either tall or not rich.
Everyone who is either tall or not rich is either happy or tall.
Everyone who is either not funny or not old is eithe... | Fred is not creative. | entailment | (![X]:((~strong(X)&~curious(X))=>(tall(X)|~strong(X))))&
(((calm(susan)|curious(susan)))=>((~creative(paul)&~old(paul))))&
((~humble(john))=>((tall(paul)<~>~rich(paul))))&
(![X]:((tall(X)<~>~rich(X))=>(happy(X)<~>tall(X))))&
(![X]:((~funny(X)<~>~old(X))=>(rich(X)<~>quiet(X))))&
(![X]:(patient(X)<=>curious(X)))&
((?[X]:... | ~creative(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1167727099209644360830777
% SZS output start Proof for 1167727099209644360830777
10. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~creative(X0) & curious(X0))) [input p9]
23. creative(fred) [input hypothesis]
36. ! [X0] : ((~creative(X0) & curious(X0)) | (~kind(X0) <=> kind(X0))) [ennf transfor... | 0 |
Everyone who is not kind or quiet is not old and vice versa.
If someone is both not humble and creative then fred is both not calm and not rich.
If paul is either generous or patient then alice is strong.
Everyone who is either not creative or not generous is not quiet.
Everyone who is both not old and old is not quiet... | Paul is not humble. | neutral | (![X]:((~kind(X)|quiet(X))<=>~old(X)))&
((?[X]:((~humble(X)&creative(X))))=>((~calm(fred)&~rich(fred))))&
(((generous(paul)<~>patient(paul)))=>(strong(alice)))&
(![X]:((~creative(X)<~>~generous(X))=>~quiet(X)))&
(![X]:((~old(X)&old(X))=>~quiet(X)))&
((?[X]:((calm(X)&~brave(X))))=>(?[X]:((~quiet(X)<~>happy(X)))))&
((?[X... | ~humble(paul) | [] | null | 0 |
Everyone who is both calm and not brave is humble or not curious and vice versa.
If someone is not brave or wise then mary is both not tall and creative.
Everyone who is wise or humble is not strong.
Everyone who is either strong or rich is both not rich and not curious and vice versa.
If mary is both not calm and crea... | Fred is rich. | neutral | (![X]:((calm(X)&~brave(X))<=>(humble(X)|~curious(X))))&
((?[X]:((~brave(X)|wise(X))))=>((~tall(mary)&creative(mary))))&
(![X]:((wise(X)|humble(X))=>~strong(X)))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~tall(X)<~>generous(X))=>... | rich(fred) | [] | null | 0 |
Everyone who is both curious and not strong is both not quiet and not generous and vice versa.
If someone is both rich and calm then someone is not brave and vice versa.
If someone is both not brave and not wise then susan is not strong or not rich.
Everyone who is either rich or not strong is both not generous and not... | Susan is generous. | neutral | (![X]:((curious(X)&~strong(X))<=>(~quiet(X)&~generous(X))))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&~wise(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~kind(X))))&
(![X]:((calm(X)|~curious(X))=>~humble(X)))&
(![X]:(funny(X)<=>(kind(X)&~wise(X))))&... | generous(susan) | [] | null | 0 |
Everyone who is strong or not strong is either not generous or creative.
If susan is not wise or curious then someone is both kind and not calm and vice versa.
If john is both generous and not creative then mary is not brave and vice versa.
Everyone who is generous or not patient is both old and not kind and vice versa... | John is not tall. | neutral | (![X]:((strong(X)|~strong(X))=>(~generous(X)<~>creative(X))))&
(((~wise(susan)|curious(susan)))<=>(?[X]:((kind(X)&~calm(X)))))&
(((generous(john)&~creative(john)))<=>(~brave(mary)))&
(![X]:((generous(X)|~patient(X))<=>(old(X)&~kind(X))))&
(((humble(fred)<~>kind(fred)))<=>((old(susan)|humble(susan))))&
((?[X]:((~happy(X... | ~tall(john) | [] | null | 0 |
Everyone who is old is either not humble or not calm. Everyone who is either not wise or strong is either not creative or not quiet. Everyone who is not curious or not happy is not kind or not wise. Everyone who is calm or not rich is both happy and rich. If fred is creative or wise then someone is either funny or pati... | Alice is humble. | neutral | (![X]:(old(X)=>(~humble(X)<~>~calm(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~creative(X)<~>~quiet(X))))&
(![X]:((~curious(X)|~happy(X))=>(~kind(X)|~wise(X))))&
(![X]:((calm(X)|~rich(X))=>(happy(X)&rich(X))))&
(((creative(fred)|wise(fred)))=>(?[X]:((funny(X)<~>patient(X)))))&
((?[X]:((curious(X)&calm(X))))<=>(tall(paul)))... | humble(alice) | [] | null | 0 |
Everyone who is tall is creative or not quiet and vice versa. Everyone who is not happy or not generous is old or funny and vice versa. Everyone who is funny is both not humble and not wise and vice versa. If mary is tall then someone is both strong and curious and vice versa. If mary is either not creative or not happ... | Alice is old. | entailment | (![X]:(tall(X)<=>(creative(X)|~quiet(X))))&
(![X]:((~happy(X)|~generous(X))<=>(old(X)|funny(X))))&
(![X]:(funny(X)<=>(~humble(X)&~wise(X))))&
((tall(mary))<=>(?[X]:((strong(X)&curious(X)))))&
(((~creative(mary)<~>~happy(mary)))=>((brave(susan)|~humble(susan))))&
((strong(paul))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((~o... | old(alice) | [
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1515177409846448024882008
% SZS output start Proof for 1515177409846448024882008
3. ! [X0] : (funny(X0) <=> (~wise(X0) & ~humble(X0))) [input p2]
7. ! [X0] : ((curious(X0) | ~old(X0)) => humble(X0)) [input p6]
14. ! [X0] : ((humble(X0) | ~kind(X0)) => funny(X0)) [input p13]
24. ~old(alice... | 0 |
If someone is either calm or not strong then alice is both happy and not kind.
If someone is both not strong and not brave then someone is either not creative or brave and vice versa.
Everyone who is both not tall and not old is either not creative or brave.
Everyone who is either humble or generous is not wise or funn... | Alice is strong. | entailment | ((?[X]:((calm(X)<~>~strong(X))))=>((happy(alice)&~kind(alice))))&
((?[X]:((~strong(X)&~brave(X))))<=>(?[X]:((~creative(X)<~>brave(X)))))&
(![X]:((~tall(X)&~old(X))=>(~creative(X)<~>brave(X))))&
(![X]:((humble(X)<~>generous(X))=>(~wise(X)|funny(X))))&
(![X]:((~kind(X)|rich(X))<=>(rich(X)&calm(X))))&
(((~old(paul)<~>~pat... | strong(alice) | [
"p0",
"p1",
"p4",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2405618179587950061552104
% SZS output start Proof for 2405618179587950061552104
1. ? [X0] : (calm(X0) <~> ~strong(X0)) => (~kind(alice) & happy(alice)) [input p0]
2. ? [X0] : (~brave(X0) & ~strong(X0)) <=> ? [X0] : (~creative(X0) <~> brave(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~kind(X... | 0 |
Everyone who is either not old or not tall is not brave.
Everyone who is calm or quiet is old.
Everyone who is not humble is both rich and funny.
Everyone who is either tall or not quiet is rich or happy and vice versa.
Everyone who is brave or not patient is both not generous and strong and vice versa.
Everyone who is... | Fred is old. | entailment | (![X]:((~old(X)<~>~tall(X))=>~brave(X)))&
(![X]:((calm(X)|quiet(X))=>old(X)))&
(![X]:(~humble(X)=>(rich(X)&funny(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(rich(X)|happy(X))))&
(![X]:((brave(X)|~patient(X))<=>(~generous(X)&strong(X))))&
(![X]:(wise(X)<=>(quiet(X)<~>~generous(X))))&
((humble(john))=>(?[X]:((old(X)&curious(X... | old(fred) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8360014816127638934933086
% SZS output start Proof for 8360014816127638934933086
1. ! [X0] : ((~old(X0) <~> ~tall(X0)) => ~brave(X0)) [input p0]
4. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (happy(X0) | rich(X0))) [input p3]
5. ! [X0] : ((~patient(X0) | brave(X0)) <=> (strong(X0) & ~generou... | 0 |
Everyone who is patient or humble is both creative and kind.
Everyone who is happy is rich or not generous and vice versa.
Everyone who is patient is not strong or not quiet.
If someone is both not generous and wise then mary is both wise and curious.
Everyone who is old or not kind is both not strong and not creative.... | Susan is not quiet. | entailment | (![X]:((patient(X)|humble(X))=>(creative(X)&kind(X))))&
(![X]:(happy(X)<=>(rich(X)|~generous(X))))&
(![X]:(patient(X)=>(~strong(X)|~quiet(X))))&
((?[X]:((~generous(X)&wise(X))))=>((wise(mary)&curious(mary))))&
(![X]:((old(X)|~kind(X))=>(~strong(X)&~creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(rich(X))))&
((?[X]:((~c... | ~quiet(susan) | [
"p0",
"p4",
"p7",
"p8",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5080983416137553483168879
% SZS output start Proof for 5080983416137553483168879
1. ! [X0] : ((humble(X0) | patient(X0)) => (kind(X0) & creative(X0))) [input p0]
5. ! [X0] : ((~kind(X0) | old(X0)) => (~creative(X0) & ~strong(X0))) [input p4]
8. ! [X0] : ((brave(X0) | tall(X0)) <=> (~old(X... | 0 |
If susan is calm or humble then mary is rich and vice versa. Everyone who is old is either wise or not happy and vice versa. Everyone who is strong is not old and vice versa. Everyone who is either not rich or humble is not old or not generous and vice versa. Everyone who is not old is both not tall and wise and vice v... | John is not wise. | entailment | (((calm(susan)|humble(susan)))<=>(rich(mary)))&
(![X]:(old(X)<=>(wise(X)<~>~happy(X))))&
(![X]:(strong(X)<=>~old(X)))&
(![X]:((~rich(X)<~>humble(X))<=>(~old(X)|~generous(X))))&
(![X]:(~old(X)<=>(~tall(X)&wise(X))))&
((~humble(alice))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:((~quiet(X)&~humble(X))=>~humble(X)))&
(![X]:... | ~wise(john) | [
"p1",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1380150618913808543938156
% SZS output start Proof for 1380150618913808543938156
2. ! [X0] : (old(X0) <=> (wise(X0) <~> ~happy(X0))) [input p1]
11. (~happy(john) & old(john)) <=> ? [X0] : old(X0) [input p10]
14. ? [X0] : (~calm(X0) | tall(X0)) <=> (old(susan) & ~strong(susan)) [input p13]... | 0 |
Everyone who is both not kind and not rich is funny and vice versa.
Everyone who is happy is not strong or tall and vice versa.
If lucy is not humble then john is either rich or not funny.
If paul is both not wise and not rich then someone is not happy or not curious.
Everyone who is old is not humble.
If mary is quiet... | Susan is rich. | contradiction | (![X]:((~kind(X)&~rich(X))<=>funny(X)))&
(![X]:(happy(X)<=>(~strong(X)|tall(X))))&
((~humble(lucy))=>((rich(john)<~>~funny(john))))&
(((~wise(paul)&~rich(paul)))=>(?[X]:((~happy(X)|~curious(X)))))&
(![X]:(old(X)=>~humble(X)))&
((quiet(mary))<=>(?[X]:((~creative(X)&~funny(X)))))&
(![X]:((~old(X)|brave(X))<=>(happy(X)&~r... | rich(susan) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4788906766709019637999536
% SZS output start Proof for 4788906766709019637999536
1. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> funny(X0)) [input p0]
10. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~happy(X0)) [input p9]
14. (wise(susan) | ~happy(susan)) <=> (rich(lucy) & happy(lucy)) [input p13]
23... | 0 |
If susan is not calm then john is not humble or wise and vice versa.
If someone is both strong and not patient then john is either tall or not curious and vice versa.
Everyone who is rich or happy is not brave and vice versa.
Everyone who is both tall and not humble is generous or creative and vice versa.
If alice is b... | Alice is not curious. | neutral | ((~calm(susan))<=>((~humble(john)|wise(john))))&
((?[X]:((strong(X)&~patient(X))))<=>((tall(john)<~>~curious(john))))&
(![X]:((rich(X)|happy(X))<=>~brave(X)))&
(![X]:((tall(X)&~humble(X))<=>(generous(X)|creative(X))))&
(((strong(alice)&~creative(alice)))<=>((wise(paul)<~>~patient(paul))))&
(![X]:(~humble(X)<=>(creative... | ~curious(alice) | [] | null | 0 |
If mary is both not brave and kind then susan is rich or quiet.
Everyone who is either rich or not funny is either rich or creative.
Everyone who is strong is either not patient or calm and vice versa.
Everyone who is both kind and generous is both generous and not curious.
Everyone who is both quiet and funny is both ... | John is not creative. | entailment | (((~brave(mary)&kind(mary)))=>((rich(susan)|quiet(susan))))&
(![X]:((rich(X)<~>~funny(X))=>(rich(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~patient(X)<~>calm(X))))&
(![X]:((kind(X)&generous(X))=>(generous(X)&~curious(X))))&
(![X]:((quiet(X)&funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~curious(X)<~>rich(X))<=>curious(... | ~creative(john) | [
"p1",
"p2",
"p5",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7172968560337237558758866
% SZS output start Proof for 7172968560337237558758866
2. ! [X0] : ((rich(X0) <~> ~funny(X0)) => (rich(X0) <~> creative(X0))) [input p1]
3. ! [X0] : (strong(X0) <=> (~patient(X0) <~> calm(X0))) [input p2]
6. ! [X0] : ((~curious(X0) <~> rich(X0)) <=> curious(X0)) ... | 0 |
Everyone who is not generous or funny is kind.
Everyone who is not brave is kind and vice versa.
Everyone who is strong is either not old or not brave and vice versa.
Everyone who is both funny and generous is either wise or not creative.
If susan is both not strong and not curious then john is old or happy and vice ve... | Fred is old. | neutral | (![X]:((~generous(X)|funny(X))=>kind(X)))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:(strong(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((funny(X)&generous(X))=>(wise(X)<~>~creative(X))))&
(((~strong(susan)&~curious(susan)))<=>((old(john)|happy(john))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((~generous(X)&~tall(X)))))&
((~wis... | old(fred) | [] | null | 0 |
If john is creative or not kind then john is wise or not patient and vice versa.
Everyone who is not curious is either not brave or tall and vice versa.
If someone is rich then alice is either not creative or not humble and vice versa.
Everyone who is not tall or not curious is either not strong or not calm.
Everyone w... | John is not wise. | neutral | (((creative(john)|~kind(john)))<=>((wise(john)|~patient(john))))&
(![X]:(~curious(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(rich(X)))<=>((~creative(alice)<~>~humble(alice))))&
(![X]:((~tall(X)|~curious(X))=>(~strong(X)<~>~calm(X))))&
(![X]:(~wise(X)=>generous(X)))&
(![X]:((~rich(X)&rich(X))<=>humble(X)))&
(![X]:((~curious(... | ~wise(john) | [] | null | 0 |
If john is humble or funny then someone is patient and vice versa.
If fred is funny or not old then someone is old and vice versa.
Everyone who is not calm is happy or not humble.
Everyone who is either rich or not tall is not funny and vice versa.
Everyone who is either not rich or old is not calm or not happy and vic... | Fred is curious. | neutral | (((humble(john)|funny(john)))<=>(?[X]:(patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>old(X))<=>(~calm(X)|~happy(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~kind(X)&curious(X))))&
(![X]:((~generous(X)&~kind... | curious(fred) | [] | null | 0 |
Everyone who is curious is not curious. Everyone who is not strong or not generous is both rich and creative. Everyone who is both creative and not curious is wise or not tall and vice versa. Everyone who is curious is either not strong or wise. If mary is not rich or brave then someone is creative or rich. If someone ... | Susan is not old. | contradiction | (![X]:(curious(X)=>~curious(X)))&
(![X]:((~strong(X)|~generous(X))=>(rich(X)&creative(X))))&
(![X]:((creative(X)&~curious(X))<=>(wise(X)|~tall(X))))&
(![X]:(curious(X)=>(~strong(X)<~>wise(X))))&
(((~rich(mary)|brave(mary)))=>(?[X]:((creative(X)|rich(X)))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:(calm(X))))&
(((~quiet(jo... | ~old(susan) | [
"p1",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1537187590012902225601719
% SZS output start Proof for 1537187590012902225601719
2. ! [X0] : ((~generous(X0) | ~strong(X0)) => (creative(X0) & rich(X0))) [input p1]
10. ! [X0] : (~brave(X0) <=> (brave(X0) & rich(X0))) [input p9]
11. ! [X0] : ((humble(X0) | ~creative(X0)) => (brave(X0) & r... | 0 |
Everyone who is both not rich and kind is either not rich or funny and vice versa.
If someone is not tall then someone is not strong and vice versa.
If someone is happy then someone is both quiet and not patient and vice versa.
If someone is not curious then alice is either not creative or funny and vice versa.
If susa... | Alice is not strong. | neutral | (![X]:((~rich(X)&kind(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~strong(X))))&
((?[X]:(happy(X)))<=>(?[X]:((quiet(X)&~patient(X)))))&
((?[X]:(~curious(X)))<=>((~creative(alice)<~>funny(alice))))&
(((~happy(susan)<~>kind(susan)))<=>((~tall(susan)<~>~old(susan))))&
(![X]:((old(X)<~>~generous(X))=>(calm(X... | ~strong(alice) | [] | null | 0 |
Everyone who is generous or happy is either curious or not patient.
If someone is brave then someone is not funny.
If someone is curious or happy then lucy is both not curious and rich and vice versa.
Everyone who is not strong or quiet is calm or strong.
Everyone who is not humble or calm is brave.
Everyone who is bra... | Lucy is kind. | contradiction | (![X]:((generous(X)|happy(X))=>(curious(X)<~>~patient(X))))&
((?[X]:(brave(X)))=>(?[X]:(~funny(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~curious(lucy)&rich(lucy))))&
(![X]:((~strong(X)|quiet(X))=>(calm(X)|strong(X))))&
(![X]:((~humble(X)|calm(X))=>brave(X)))&
(![X]:((brave(X)|generous(X))<=>(kind(X)&~brave(X))))&
((?... | kind(lucy) | [
"p4",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5483112712588585607534581
% SZS output start Proof for 5483112712588585607534581
5. ! [X0] : ((calm(X0) | ~humble(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((generous(X0) | brave(X0)) <=> (~brave(X0) & kind(X0))) [input p5]
8. ! [X0] : ((~patient(X0) | ~tall(X0)) => ~kind(X0)) [input p7]
... | 0 |
If someone is not patient then susan is strong and vice versa.
Everyone who is either tall or humble is either not tall or not generous.
If someone is either not calm or not humble then someone is either not tall or wise.
If someone is both not brave and not quiet then someone is brave and vice versa.
If paul is either... | Lucy is curious. | entailment | ((?[X]:(~patient(X)))<=>(strong(susan)))&
(![X]:((tall(X)<~>humble(X))=>(~tall(X)<~>~generous(X))))&
((?[X]:((~calm(X)<~>~humble(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
((?[X]:((~brave(X)&~quiet(X))))<=>(?[X]:(brave(X))))&
(((calm(paul)<~>~happy(paul)))=>(?[X]:((~wise(X)|generous(X)))))&
((?[X]:((wise(X)&kind(X))))=>(?[... | curious(lucy) | [
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2062063619258353314167325
% SZS output start Proof for 2062063619258353314167325
9. ! [X0] : ((~funny(X0) | patient(X0)) => curious(X0)) [input p8]
14. ! [X0] : (~old(X0) <=> (~funny(X0) & brave(X0))) [input p13]
22. ~old(lucy) & ~strong(lucy) [input p21]
24. ~curious(lucy) [input hypothe... | 0 |
Everyone who is not quiet or kind is not patient and vice versa. If john is generous then mary is kind or strong and vice versa. If someone is tall or funny then susan is tall and vice versa. Everyone who is curious is both creative and not generous. Everyone who is not curious or old is either rich or not happy. Every... | Fred is calm. | neutral | (![X]:((~quiet(X)|kind(X))<=>~patient(X)))&
((generous(john))<=>((kind(mary)|strong(mary))))&
((?[X]:((tall(X)|funny(X))))<=>(tall(susan)))&
(![X]:(curious(X)=>(creative(X)&~generous(X))))&
(![X]:((~curious(X)|old(X))=>(rich(X)<~>~happy(X))))&
(![X]:(old(X)<=>(~wise(X)<~>~creative(X))))&
(((~strong(mary)|generous(mary)... | calm(fred) | [] | null | 0 |
If mary is tall or not creative then lucy is either patient or not generous. Everyone who is calm or kind is both not rich and old. Everyone who is tall or brave is happy. Everyone who is generous is both patient and quiet and vice versa. If john is not brave then someone is both not kind and not funny. If paul is eith... | Lucy is not funny. | neutral | (((tall(mary)|~creative(mary)))=>((patient(lucy)<~>~generous(lucy))))&
(![X]:((calm(X)|kind(X))=>(~rich(X)&old(X))))&
(![X]:((tall(X)|brave(X))=>happy(X)))&
(![X]:(generous(X)<=>(patient(X)&quiet(X))))&
((~brave(john))=>(?[X]:((~kind(X)&~funny(X)))))&
(((brave(paul)<~>strong(paul)))=>(?[X]:((wise(X)|quiet(X)))))&
((?[X... | ~funny(lucy) | [] | null | 0 |
Everyone who is both strong and kind is not strong and vice versa.
If someone is either not curious or not quiet then paul is funny or not tall and vice versa.
If fred is not rich or not brave then mary is either rich or old.
Everyone who is not creative is not rich or not generous and vice versa.
If alice is both not ... | Paul is not humble. | neutral | (![X]:((strong(X)&kind(X))<=>~strong(X)))&
((?[X]:((~curious(X)<~>~quiet(X))))<=>((funny(paul)|~tall(paul))))&
(((~rich(fred)|~brave(fred)))=>((rich(mary)<~>old(mary))))&
(![X]:(~creative(X)<=>(~rich(X)|~generous(X))))&
(((~quiet(alice)&~happy(alice)))<=>(?[X]:((calm(X)|~strong(X)))))&
(![X]:((~calm(X)|happy(X))<=>(~fu... | ~humble(paul) | [] | null | 0 |
If someone is patient or not patient then someone is either funny or humble and vice versa.
If alice is not happy or not generous then someone is not funny and vice versa.
Everyone who is either funny or humble is funny or not humble and vice versa.
If someone is not brave or not kind then alice is either patient or qu... | Alice is not creative. | neutral | ((?[X]:((patient(X)|~patient(X))))<=>(?[X]:((funny(X)<~>humble(X)))))&
(((~happy(alice)|~generous(alice)))<=>(?[X]:(~funny(X))))&
(![X]:((funny(X)<~>humble(X))<=>(funny(X)|~humble(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>((patient(alice)<~>quiet(alice))))&
((old(paul))<=>(?[X]:((patient(X)&~humble(X)))))&
(![X]:((~wise(... | ~creative(alice) | [] | null | 0 |
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