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 |
|---|---|---|---|---|---|---|---|
If someone is curious or quiet then someone is not tall.
If alice is not curious then someone is not brave and vice versa.
If someone is not quiet or not funny then someone is tall or patient and vice versa.
If susan is both generous and patient then someone is generous.
Everyone who is wise or rich is not quiet or not... | Mary is quiet. | contradiction | ((?[X]:((curious(X)|quiet(X))))=>(?[X]:(~tall(X))))&
((~curious(alice))<=>(?[X]:(~brave(X))))&
((?[X]:((~quiet(X)|~funny(X))))<=>(?[X]:((tall(X)|patient(X)))))&
(((generous(susan)&patient(susan)))=>(?[X]:(generous(X))))&
(![X]:((wise(X)|rich(X))=>(~quiet(X)|~kind(X))))&
(![X]:(humble(X)<=>~tall(X)))&
((?[X]:((~wise(X)<... | quiet(mary) | [
"p5",
"p8",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3880371501744902439669705
% SZS output start Proof for 3880371501744902439669705
6. ! [X0] : (humble(X0) <=> ~tall(X0)) [input p5]
9. ! [X0] : ((~tall(X0) & wise(X0)) <=> ~humble(X0)) [input p8]
13. ! [X0] : ((humble(X0) | ~creative(X0)) <=> (happy(X0) | ~generous(X0))) [input p12]
15. ! ... | 0 |
If someone is both old and patient then someone is tall and vice versa. If someone is either patient or tall then someone is either calm or happy. If mary is either not generous or not tall then someone is curious and vice versa. If someone is either humble or generous then john is both patient and not funny and vice v... | Mary is not creative. | entailment | ((?[X]:((old(X)&patient(X))))<=>(?[X]:(tall(X))))&
((?[X]:((patient(X)<~>tall(X))))=>(?[X]:((calm(X)<~>happy(X)))))&
(((~generous(mary)<~>~tall(mary)))<=>(?[X]:(curious(X))))&
((?[X]:((humble(X)<~>generous(X))))<=>((patient(john)&~funny(john))))&
((?[X]:((~quiet(X)<~>curious(X))))=>(?[X]:((~strong(X)&creative(X)))))&
(... | ~creative(mary) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5441788840126616409571366
% SZS output start Proof for 5441788840126616409571366
11. ! [X0] : (~creative(X0) <=> rich(X0)) [input p10]
14. ! [X0] : (rich(X0) <=> (creative(X0) | strong(X0))) [input p13]
24. creative(mary) [input hypothesis]
73. ! [X0] : ((~creative(X0) | ~rich(X0)) & (ric... | 0 |
If lucy is not rich or quiet then paul is tall. If someone is not rich or not brave then john is old and vice versa. If alice is funny or not rich then john is wise. If mary is not wise then john is both curious and brave. Everyone who is both not generous and wise is either brave or not brave and vice versa. If paul i... | Lucy is curious. | entailment | (((~rich(lucy)|quiet(lucy)))=>(tall(paul)))&
((?[X]:((~rich(X)|~brave(X))))<=>(old(john)))&
(((funny(alice)|~rich(alice)))=>(wise(john)))&
((~wise(mary))=>((curious(john)&brave(john))))&
(![X]:((~generous(X)&wise(X))<=>(brave(X)<~>~brave(X))))&
(((creative(paul)&~wise(paul)))=>(?[X]:((~calm(X)<~>funny(X)))))&
(((tall(a... | curious(lucy) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3549327339007014766306384
% SZS output start Proof for 3549327339007014766306384
5. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p4]
12. ! [X0] : ((funny(X0) | curious(X0)) <=> wise(X0)) [input p11]
14. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~tall(X0) | ... | 0 |
Everyone who is wise or calm is both quiet and not wise. If mary is not brave then susan is either kind or not strong. If someone is both not wise and not brave then lucy is not strong or brave and vice versa. Everyone who is either quiet or old is calm. Everyone who is either not curious or not calm is not brave or qu... | Fred is happy. | entailment | (![X]:((wise(X)|calm(X))=>(quiet(X)&~wise(X))))&
((~brave(mary))=>((kind(susan)<~>~strong(susan))))&
((?[X]:((~wise(X)&~brave(X))))<=>((~strong(lucy)|brave(lucy))))&
(![X]:((quiet(X)<~>old(X))=>calm(X)))&
(![X]:((~curious(X)<~>~calm(X))=>(~brave(X)|quiet(X))))&
(((patient(fred)&happy(fred)))<=>(?[X]:((humble(X)<~>kind(... | happy(fred) | [
"p0",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6740043607886696051691733
% SZS output start Proof for 6740043607886696051691733
1. ! [X0] : ((calm(X0) | wise(X0)) => (~wise(X0) & quiet(X0))) [input p0]
6. (happy(fred) & patient(fred)) <=> ? [X0] : (humble(X0) <~> kind(X0)) [input p5]
7. ~kind(alice) <=> ? [X0] : (humble(X0) | tall(X0)... | 0 |
Everyone who is both calm and not happy is calm and vice versa.
Everyone who is calm or generous is both brave and not tall and vice versa.
If someone is either not tall or not strong then someone is both happy and not quiet and vice versa.
Everyone who is not strong or old is both creative and patient.
If mary is eith... | Mary is not happy. | contradiction | (![X]:((calm(X)&~happy(X))<=>calm(X)))&
(![X]:((calm(X)|generous(X))<=>(brave(X)&~tall(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~strong(X)|old(X))=>(creative(X)&patient(X))))&
(((quiet(mary)<~>patient(mary)))=>((~patient(fred)<~>~calm(fred))))&
(((~quiet(john)&~patient(john)))<... | ~happy(mary) | [
"p1",
"p2",
"p3",
"p9",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6070000130577677615628430
% SZS output start Proof for 6070000130577677615628430
2. ! [X0] : ((generous(X0) | calm(X0)) <=> (~tall(X0) & brave(X0))) [input p1]
3. ? [X0] : (~tall(X0) <~> ~strong(X0)) <=> ? [X0] : (~quiet(X0) & happy(X0)) [input p2]
4. ! [X0] : ((old(X0) | ~strong(X0)) => ... | 0 |
Everyone who is happy is both not curious and curious.
If paul is both not quiet and happy then someone is either rich or not creative and vice versa.
Everyone who is either not rich or not strong is strong and vice versa.
If susan is both not brave and not quiet then someone is either brave or not strong.
If someone i... | Susan is patient. | neutral | (![X]:(happy(X)=>(~curious(X)&curious(X))))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((rich(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~tall(X)&generous(X))=>(strong... | patient(susan) | [] | null | 0 |
If someone is wise then someone is patient. Everyone who is either humble or funny is not strong or patient and vice versa. Everyone who is not happy is both patient and brave and vice versa. Everyone who is funny is not patient or not rich and vice versa. Everyone who is quiet is calm and vice versa. If someone is bot... | Alice is not tall. | neutral | ((?[X]:(wise(X)))=>(?[X]:(patient(X))))&
(![X]:((humble(X)<~>funny(X))<=>(~strong(X)|patient(X))))&
(![X]:(~happy(X)<=>(patient(X)&brave(X))))&
(![X]:(funny(X)<=>(~patient(X)|~rich(X))))&
(![X]:(quiet(X)<=>calm(X)))&
((?[X]:((curious(X)&humble(X))))=>(?[X]:((~calm(X)&~happy(X)))))&
((?[X]:(~quiet(X)))<=>((~quiet(john)|... | ~tall(alice) | [] | null | 0 |
Everyone who is rich is either funny or not quiet.
If john is wise or not rich then alice is not generous or not quiet and vice versa.
Everyone who is either patient or funny is both not tall and patient.
If someone is both happy and not wise then someone is either happy or curious and vice versa.
Everyone who is not g... | Susan is not patient. | contradiction | (![X]:(rich(X)=>(funny(X)<~>~quiet(X))))&
(((wise(john)|~rich(john)))<=>((~generous(alice)|~quiet(alice))))&
(![X]:((patient(X)<~>funny(X))=>(~tall(X)&patient(X))))&
((?[X]:((happy(X)&~wise(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:(~generous(X)<=>(strong(X)&rich(X))))&
(![X]:((~rich(X)|~old(X))=>wise(X)))&
(![X... | ~patient(susan) | [
"p4",
"p6",
"p8",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2009723707009797727483442
% SZS output start Proof for 2009723707009797727483442
5. ! [X0] : (~generous(X0) <=> (rich(X0) & strong(X0))) [input p4]
7. ! [X0] : ((humble(X0) <~> patient(X0)) <=> (wise(X0) & ~strong(X0))) [input p6]
9. ! [X0] : (~creative(X0) <=> (~generous(X0) & happy(X0))... | 0 |
Everyone who is both not funny and not humble is either not brave or not tall and vice versa. Everyone who is strong or not humble is both not curious and happy. Everyone who is both not rich and not tall is not wise. Everyone who is wise is strong or not wise and vice versa. If someone is humble or funny then john is ... | Mary is not strong. | contradiction | (![X]:((~funny(X)&~humble(X))<=>(~brave(X)<~>~tall(X))))&
(![X]:((strong(X)|~humble(X))=>(~curious(X)&happy(X))))&
(![X]:((~rich(X)&~tall(X))=>~wise(X)))&
(![X]:(wise(X)<=>(strong(X)|~wise(X))))&
((?[X]:((humble(X)|funny(X))))<=>((~wise(john)<~>~old(john))))&
(((rich(susan)<~>old(susan)))=>(?[X]:((wise(X)|patient(X))))... | ~strong(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4695476792979639789121630
% SZS output start Proof for 4695476792979639789121630
4. ! [X0] : (wise(X0) <=> (~wise(X0) | strong(X0))) [input p3]
21. ~strong(mary) [input hypothesis]
35. ! [X0] : ((wise(X0) | (wise(X0) & ~strong(X0))) & ((~wise(X0) | strong(X0)) | ~wise(X0))) [nnf transform... | 0 |
If fred is either tall or generous then susan is both not generous and patient and vice versa. Everyone who is not brave or wise is curious and vice versa. Everyone who is both brave and generous is both not tall and strong and vice versa. If someone is both not rich and calm then someone is old or not quiet. If lucy i... | Lucy is old. | neutral | (((tall(fred)<~>generous(fred)))<=>((~generous(susan)&patient(susan))))&
(![X]:((~brave(X)|wise(X))<=>curious(X)))&
(![X]:((brave(X)&generous(X))<=>(~tall(X)&strong(X))))&
((?[X]:((~rich(X)&calm(X))))=>(?[X]:((old(X)|~quiet(X)))))&
(((patient(lucy)|~patient(lucy)))<=>(?[X]:((creative(X)<~>quiet(X)))))&
(((~strong(john)... | old(lucy) | [] | null | 0 |
If susan is wise or not calm then someone is creative.
Everyone who is both not tall and not generous is not calm and vice versa.
If someone is old then someone is either not kind or strong.
If someone is creative then fred is patient.
Everyone who is either tall or creative is either calm or not funny and vice versa.
... | Alice is not kind. | entailment | (((wise(susan)|~calm(susan)))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~calm(X)))&
((?[X]:(old(X)))=>(?[X]:((~kind(X)<~>strong(X)))))&
((?[X]:(creative(X)))=>(patient(fred)))&
(![X]:((tall(X)<~>creative(X))<=>(calm(X)<~>~funny(X))))&
(![X]:(kind(X)=>(~quiet(X)<~>brave(X))))&
(![X]:(funny(X)=>generous(X)... | ~kind(alice) | [
"p3",
"p5",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4499990027659541113215565
% SZS output start Proof for 4499990027659541113215565
4. ? [X0] : creative(X0) => patient(fred) [input p3]
6. ! [X0] : (kind(X0) => (~quiet(X0) <~> brave(X0))) [input p5]
10. (happy(alice) & creative(alice)) <=> ? [X0] : patient(X0) [input p9]
11. ! [X0] : (~bra... | 0 |
Everyone who is not creative or not curious is patient and vice versa. If someone is calm or tall then susan is both old and creative and vice versa. Everyone who is not generous is either creative or not rich and vice versa. Everyone who is not generous is not wise. Everyone who is both not curious and not creative is... | Mary is not strong. | neutral | (![X]:((~creative(X)|~curious(X))<=>patient(X)))&
((?[X]:((calm(X)|tall(X))))<=>((old(susan)&creative(susan))))&
(![X]:(~generous(X)<=>(creative(X)<~>~rich(X))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~curious(X)&~creative(X))<=>~strong(X)))&
((?[X]:(~tall(X)))=>((~humble(mary)|wise(mary))))&
((curious(alice))<=>(?[... | ~strong(mary) | [] | null | 0 |
Everyone who is not patient or not calm is either generous or tall and vice versa. Everyone who is either not wise or generous is either not old or funny. Everyone who is not wise is not brave or happy and vice versa. Everyone who is both wise and not kind is strong or not brave. Everyone who is either not creative or ... | John is not happy. | contradiction | (![X]:((~patient(X)|~calm(X))<=>(generous(X)<~>tall(X))))&
(![X]:((~wise(X)<~>generous(X))=>(~old(X)<~>funny(X))))&
(![X]:(~wise(X)<=>(~brave(X)|happy(X))))&
(![X]:((wise(X)&~kind(X))=>(strong(X)|~brave(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(humble(X)|~patient(X))))&
(![X]:(~old(X)<=>(~brave(X)&old(X))))&
(![X]:((pa... | ~happy(john) | [
"p1",
"p2",
"p5",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 172602213080611356660877
% SZS output start Proof for 172602213080611356660877
2. ! [X0] : ((~wise(X0) <~> generous(X0)) => (~old(X0) <~> funny(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (happy(X0) | ~brave(X0))) [input p2]
6. ! [X0] : (~old(X0) <=> (old(X0) & ~brave(X0))) [input p5]
15.... | 0 |
If someone is either creative or not patient then someone is calm or not old.
Everyone who is creative is either not curious or not strong.
Everyone who is either wise or not patient is either not curious or patient and vice versa.
Everyone who is either not kind or not creative is old or calm.
If mary is both not brav... | Lucy is creative. | contradiction | ((?[X]:((creative(X)<~>~patient(X))))=>(?[X]:((calm(X)|~old(X)))))&
(![X]:(creative(X)=>(~curious(X)<~>~strong(X))))&
(![X]:((wise(X)<~>~patient(X))<=>(~curious(X)<~>patient(X))))&
(![X]:((~kind(X)<~>~creative(X))=>(old(X)|calm(X))))&
(((~brave(mary)&quiet(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:(~brave(X)=>(~ki... | creative(lucy) | [
"p1",
"p11",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8457094088179406424845917
% SZS output start Proof for 8457094088179406424845917
2. ! [X0] : (creative(X0) => (~curious(X0) <~> ~strong(X0))) [input p1]
12. ! [X0] : ((~curious(X0) | ~rich(X0)) => tall(X0)) [input p11]
14. ! [X0] : ((~humble(X0) | ~patient(X0)) <=> (creative(X0) <~> tall(... | 0 |
If john is both not wise and not generous then someone is kind or brave.
If mary is both not rich and kind then john is either not happy or kind.
Everyone who is not old or old is either patient or happy.
Everyone who is not humble or not strong is quiet or old and vice versa.
If someone is funny or quiet then susan is... | John is patient. | contradiction | (((~wise(john)&~generous(john)))=>(?[X]:((kind(X)|brave(X)))))&
(((~rich(mary)&kind(mary)))=>((~happy(john)<~>kind(john))))&
(![X]:((~old(X)|old(X))=>(patient(X)<~>happy(X))))&
(![X]:((~humble(X)|~strong(X))<=>(quiet(X)|old(X))))&
((?[X]:((funny(X)|quiet(X))))=>(~brave(susan)))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:... | patient(john) | [
"p2",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8752148965148485129882418
% SZS output start Proof for 8752148965148485129882418
3. ! [X0] : ((old(X0) | ~old(X0)) => (patient(X0) <~> happy(X0))) [input p2]
20. strong(john) | happy(john) [input p19]
23. ~strong(john) [input p22]
25. patient(john) [input hypothesis]
32. ! [X0] : ((patien... | 0 |
If someone is either not brave or not wise then someone is calm or not creative and vice versa.
If mary is not patient then mary is both creative and humble and vice versa.
Everyone who is wise is creative or old.
Everyone who is not quiet is humble and vice versa.
If mary is both patient and not calm then someone is w... | Lucy is not happy. | entailment | ((?[X]:((~brave(X)<~>~wise(X))))<=>(?[X]:((calm(X)|~creative(X)))))&
((~patient(mary))<=>((creative(mary)&humble(mary))))&
(![X]:(wise(X)=>(creative(X)|old(X))))&
(![X]:(~quiet(X)<=>humble(X)))&
(((patient(mary)&~calm(mary)))<=>(?[X]:(wise(X))))&
(((~calm(susan)|creative(susan)))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]... | ~happy(lucy) | [
"p3",
"p10",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7531385345673129168882810
% SZS output start Proof for 7531385345673129168882810
4. ! [X0] : (~quiet(X0) <=> humble(X0)) [input p3]
11. ? [X0] : (quiet(X0) <~> ~wise(X0)) => wise(alice) [input p10]
12. ! [X0] : ((humble(X0) <~> calm(X0)) <=> ~happy(X0)) [input p11]
13. (strong(lucy) & ~ca... | 0 |
If someone is not patient then someone is not calm or wise and vice versa.
Everyone who is both generous and not rich is not patient or wise and vice versa.
If someone is both not generous and creative then someone is generous or happy and vice versa.
Everyone who is not quiet or not kind is either quiet or tall.
Every... | John is rich. | neutral | ((?[X]:(~patient(X)))<=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((generous(X)&~rich(X))<=>(~patient(X)|wise(X))))&
((?[X]:((~generous(X)&creative(X))))<=>(?[X]:((generous(X)|happy(X)))))&
(![X]:((~quiet(X)|~kind(X))=>(quiet(X)<~>tall(X))))&
(![X]:((creative(X)|strong(X))=>patient(X)))&
((happy(alice))<=>(?[X]:((~curious(X)... | rich(john) | [] | null | 0 |
Everyone who is quiet is patient or curious and vice versa. Everyone who is either patient or kind is both not funny and wise and vice versa. Everyone who is generous or not calm is not wise and vice versa. Everyone who is quiet or brave is both funny and not tall. Everyone who is either brave or kind is not wise. If s... | Lucy is not calm. | contradiction | (![X]:(quiet(X)<=>(patient(X)|curious(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~funny(X)&wise(X))))&
(![X]:((generous(X)|~calm(X))<=>~wise(X)))&
(![X]:((quiet(X)|brave(X))=>(funny(X)&~tall(X))))&
(![X]:((brave(X)<~>kind(X))=>~wise(X)))&
((?[X]:((brave(X)|~generous(X))))<=>(?[X]:((kind(X)&humble(X)))))&
((?[X]:(happy(X))... | ~calm(lucy) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7753857255884449557399433
% SZS output start Proof for 7753857255884449557399433
2. ! [X0] : ((patient(X0) <~> kind(X0)) <=> (wise(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((~calm(X0) | generous(X0)) <=> ~wise(X0)) [input p2]
11. ! [X0] : ((~kind(X0) | patient(X0)) => (~happy(X0) & wise(... | 0 |
Everyone who is both patient and wise is not creative or not generous and vice versa. If someone is happy or creative then someone is generous. If fred is either tall or strong then john is not rich. Everyone who is both not quiet and quiet is not creative or not rich and vice versa. Everyone who is both not wise and r... | John is not calm. | contradiction | (![X]:((patient(X)&wise(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((happy(X)|creative(X))))=>(?[X]:(generous(X))))&
(((tall(fred)<~>strong(fred)))=>(~rich(john)))&
(![X]:((~quiet(X)&quiet(X))<=>(~creative(X)|~rich(X))))&
(![X]:((~wise(X)&rich(X))<=>(~tall(X)<~>~generous(X))))&
(((kind(john)<~>brave(john)))=>(generous... | ~calm(john) | [
"p0",
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2499589545592674346335063
% SZS output start Proof for 2499589545592674346335063
1. ! [X0] : ((wise(X0) & patient(X0)) <=> (~generous(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~rich(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((rich(X0) & ~wise(X0)) <=> ... | 0 |
If paul is old then someone is either generous or old.
If someone is not quiet or not generous then susan is either not tall or brave.
If someone is not strong then someone is either calm or patient and vice versa.
If someone is old or quiet then mary is brave or not generous and vice versa.
If someone is happy then al... | Mary is not brave. | contradiction | ((old(paul))=>(?[X]:((generous(X)<~>old(X)))))&
((?[X]:((~quiet(X)|~generous(X))))=>((~tall(susan)<~>brave(susan))))&
((?[X]:(~strong(X)))<=>(?[X]:((calm(X)<~>patient(X)))))&
((?[X]:((old(X)|quiet(X))))<=>((brave(mary)|~generous(mary))))&
((?[X]:(happy(X)))=>((quiet(alice)&humble(alice))))&
(![X]:((~kind(X)|~humble(X))... | ~brave(mary) | [
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 301740406833378485638984
% SZS output start Proof for 301740406833378485638984
6. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> (~strong(X0) & ~generous(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (~patient(X0) & ~kind(X0))) [input p6]
9. ? [X0] : (~strong(X0) | patient(X0)) => ? [X0] : (~kind(... | 0 |
Everyone who is patient is not kind.
Everyone who is either curious or not brave is not brave or humble.
Everyone who is either quiet or not curious is not rich and vice versa.
If fred is either creative or brave then paul is rich or curious.
If mary is either not generous or happy then someone is either happy or brave... | Susan is old. | neutral | (![X]:(patient(X)=>~kind(X)))&
(![X]:((curious(X)<~>~brave(X))=>(~brave(X)|humble(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>~rich(X)))&
(((creative(fred)<~>brave(fred)))=>((rich(paul)|curious(paul))))&
(((~generous(mary)<~>happy(mary)))<=>(?[X]:((happy(X)<~>brave(X)))))&
((?[X]:((~creative(X)&old(X))))=>((~calm(paul)|~c... | old(susan) | [] | null | 0 |
Everyone who is generous is not humble and vice versa. Everyone who is not brave is old. If fred is either creative or not wise then someone is not kind and vice versa. Everyone who is both brave and wise is both rich and tall. If someone is both not kind and tall then fred is old or curious. If lucy is not tall then s... | Mary is quiet. | entailment | (![X]:(generous(X)<=>~humble(X)))&
(![X]:(~brave(X)=>old(X)))&
(((creative(fred)<~>~wise(fred)))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)&wise(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)&tall(X))))=>((old(fred)|curious(fred))))&
((~tall(lucy))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>~quiet(X)... | quiet(mary) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8458870001403160259287699
% SZS output start Proof for 8458870001403160259287699
7. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~brave(X0) | ~strong(X0))) [input p8]
13. ! [X0] : ((strong(X0) | ~old(X0)) => (old(X0) & quiet(X0)... | 0 |
If someone is both tall and brave then fred is not tall or old and vice versa. Everyone who is patient is not strong and vice versa. Everyone who is both patient and not humble is both not happy and old. Everyone who is both generous and not calm is not calm or not old and vice versa. Everyone who is both wise and tall... | John is patient. | neutral | ((?[X]:((tall(X)&brave(X))))<=>((~tall(fred)|old(fred))))&
(![X]:(patient(X)<=>~strong(X)))&
(![X]:((patient(X)&~humble(X))=>(~happy(X)&old(X))))&
(![X]:((generous(X)&~calm(X))<=>(~calm(X)|~old(X))))&
(![X]:((wise(X)&tall(X))=>~patient(X)))&
(![X]:(brave(X)<=>(~creative(X)<~>~kind(X))))&
((funny(fred))=>((~creative(sus... | patient(john) | [] | null | 0 |
If susan is old then someone is both happy and patient.
Everyone who is both not funny and not patient is both not kind and old and vice versa.
Everyone who is not humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humble o... | John is not patient. | contradiction | ((old(susan))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(~kind(X)&old(X))))&
(![X]:(~humble(X)=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
(((strong(john)|~... | ~patient(john) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8516553437310141608649588
% SZS output start Proof for 8516553437310141608649588
4. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p3]
8. ! [X0] : (~quiet(X0) => patient(X0)) [input p7]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. !... | 0 |
Everyone who is not generous or not quiet is both creative and not wise. Everyone who is either creative or not brave is either not rich or rich. Everyone who is both not strong and not funny is creative or not creative. Everyone who is humble is not quiet and vice versa. Everyone who is both not curious and kind is bo... | Fred is humble. | contradiction | (![X]:((~generous(X)|~quiet(X))=>(creative(X)&~wise(X))))&
(![X]:((creative(X)<~>~brave(X))=>(~rich(X)<~>rich(X))))&
(![X]:((~strong(X)&~funny(X))=>(creative(X)|~creative(X))))&
(![X]:(humble(X)<=>~quiet(X)))&
(![X]:((~curious(X)&kind(X))=>(~happy(X)&~strong(X))))&
(((~old(mary)&brave(mary)))<=>(?[X]:(happy(X))))&
(![X... | humble(fred) | [
"p0",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2041301790621008654688228
% SZS output start Proof for 2041301790621008654688228
1. ! [X0] : ((~quiet(X0) | ~generous(X0)) => (~wise(X0) & creative(X0))) [input p0]
4. ! [X0] : (humble(X0) <=> ~quiet(X0)) [input p3]
13. ! [X0] : ((creative(X0) | ~happy(X0)) => (quiet(X0) & calm(X0))) [inp... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If john is humble then someone is both not kind and rich. Everyone who is both kind and not humble is both not happy and not curious and vice versa. Everyone who is both calm and curious is both not... | John is not kind. | contradiction | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
((humble(john))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:((kind(X)&~humble(X))<=>(~happy(X)&~curious(X))))&
(![X]:((calm(X)&curious(X))<=>(~kind(X)&humble(X))))&
(![X]:((rich(X)|~creative(X))=>creative(X)))&
(((old(alice)&creative(al... | ~kind(john) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4213831556722746268717320
% SZS output start Proof for 4213831556722746268717320
1. ! [X0] : ((~strong(X0) | creative(X0)) => (generous(X0) & funny(X0))) [input p0]
4. ! [X0] : ((~humble(X0) & kind(X0)) <=> (~curious(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((curious(X0) & calm(X0)) <=> ... | 0 |
If someone is both not funny and funny then someone is both creative and curious and vice versa.
Everyone who is not old is quiet and vice versa.
If fred is not rich then alice is either not strong or not rich.
Everyone who is either not rich or not calm is not wise or kind.
If someone is both not calm and funny then j... | Susan is rich. | entailment | ((?[X]:((~funny(X)&funny(X))))<=>(?[X]:((creative(X)&curious(X)))))&
(![X]:(~old(X)<=>quiet(X)))&
((~rich(fred))=>((~strong(alice)<~>~rich(alice))))&
(![X]:((~rich(X)<~>~calm(X))=>(~wise(X)|kind(X))))&
((?[X]:((~calm(X)&funny(X))))=>(~tall(john)))&
((?[X]:(generous(X)))<=>((happy(susan)|~creative(susan))))&
(![X]:(~tal... | rich(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2376082417813172127374340
% SZS output start Proof for 2376082417813172127374340
14. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> kind(X0)) [input p13]
25. ~rich(susan) [input hypothesis]
61. ! [X0] : (((~kind(X0) & ~rich(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) | rich(X0)))) [nnf transformatio... | 0 |
Everyone who is either patient or not happy is either not brave or kind.
If someone is not tall or not old then alice is both not happy and not calm and vice versa.
If lucy is both not calm and not tall then alice is either not wise or generous and vice versa.
Everyone who is old or not funny is not strong or patient a... | Fred is not rich. | contradiction | (![X]:((patient(X)<~>~happy(X))=>(~brave(X)<~>kind(X))))&
((?[X]:((~tall(X)|~old(X))))<=>((~happy(alice)&~calm(alice))))&
(((~calm(lucy)&~tall(lucy)))<=>((~wise(alice)<~>generous(alice))))&
(![X]:((old(X)|~funny(X))<=>(~strong(X)|patient(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((creative(X)<~>calm(X)))))&
(![X]:((k... | ~rich(fred) | [
"p3",
"p7",
"p8",
"p9",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1074639322372211043373549
% SZS output start Proof for 1074639322372211043373549
4. ! [X0] : ((~funny(X0) | old(X0)) <=> (patient(X0) | ~strong(X0))) [input p3]
8. ! [X0] : ((old(X0) | creative(X0)) => (~funny(X0) & calm(X0))) [input p7]
9. (tall(fred) & humble(fred)) <=> ? [X0] : tall(X0... | 0 |
If alice is both not brave and funny then someone is either curious or not brave and vice versa.
If fred is either calm or rich then alice is creative or curious.
If lucy is either creative or not rich then someone is kind or calm.
If john is not old or not tall then susan is happy or not funny.
Everyone who is not ric... | Susan is creative. | contradiction | (((~brave(alice)&funny(alice)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(((calm(fred)<~>rich(fred)))=>((creative(alice)|curious(alice))))&
(((creative(lucy)<~>~rich(lucy)))=>(?[X]:((kind(X)|calm(X)))))&
(((~old(john)|~tall(john)))=>((happy(susan)|~funny(susan))))&
(![X]:((~rich(X)|generous(X))<=>(happy(X)<~>~happy(X))))&... | creative(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6628349391448800007307347
% SZS output start Proof for 6628349391448800007307347
7. ! [X0] : (tall(X0) <=> (creative(X0) <~> tall(X0))) [input p6]
25. creative(susan) [input hypothesis]
49. ! [X0] : ((tall(X0) | ((creative(X0) | ~tall(X0)) & (tall(X0) | ~creative(X0)))) & (((~tall(X0) | ~... | 0 |
Everyone who is either patient or not brave is strong.
Everyone who is old or not curious is not happy or not brave and vice versa.
Everyone who is both not generous and humble is not patient and vice versa.
Everyone who is not creative is either calm or kind.
Everyone who is both not strong and not kind is both not ge... | John is funny. | entailment | (![X]:((patient(X)<~>~brave(X))=>strong(X)))&
(![X]:((old(X)|~curious(X))<=>(~happy(X)|~brave(X))))&
(![X]:((~generous(X)&humble(X))<=>~patient(X)))&
(![X]:(~creative(X)=>(calm(X)<~>kind(X))))&
(![X]:((~strong(X)&~kind(X))<=>(~generous(X)&~kind(X))))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)|~funny(X)))))&
(((~patient(jo... | funny(john) | [
"p2",
"p3",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 665615370939891929846435
% SZS output start Proof for 665615370939891929846435
3. ! [X0] : ((humble(X0) & ~generous(X0)) <=> ~patient(X0)) [input p2]
4. ! [X0] : (~creative(X0) => (calm(X0) <~> kind(X0))) [input p3]
8. ! [X0] : ((~rich(X0) | calm(X0)) <=> ~calm(X0)) [input p7]
9. ! [X0] :... | 0 |
If susan is curious or not curious then someone is not brave. If someone is both not rich and old then someone is not funny and vice versa. If someone is not strong or tall then fred is both not creative and not humble. If mary is not humble then someone is old or not brave and vice versa. If someone is either not rich... | Fred is strong. | neutral | (((curious(susan)|~curious(susan)))=>(?[X]:(~brave(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~strong(X)|tall(X))))=>((~creative(fred)&~humble(fred))))&
((~humble(mary))<=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((~rich(X)<~>strong(X))))=>((~generous(fred)&curious(fred))))&
(![X]:((~patient(X)&tall... | strong(fred) | [] | null | 0 |
If lucy is both not calm and brave then someone is both not brave and rich.
Everyone who is both happy and patient is not funny and vice versa.
Everyone who is either not humble or not patient is not creative.
If someone is both generous and not brave then someone is either humble or not generous.
If mary is generous t... | Paul is not funny. | contradiction | (((~calm(lucy)&brave(lucy)))=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((happy(X)&patient(X))<=>~funny(X)))&
(![X]:((~humble(X)<~>~patient(X))=>~creative(X)))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((humble(X)<~>~generous(X)))))&
((generous(mary))=>(?[X]:(brave(X))))&
(![X]:(~wise(X)<=>(patient(X)|wise(X))))&
(((tall(jo... | ~funny(paul) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 352910608691226189660831
% SZS output start Proof for 352910608691226189660831
6. ! [X0] : (~wise(X0) <=> (wise(X0) | patient(X0))) [input p5]
14. ! [X0] : ((~wise(X0) | patient(X0)) <=> funny(X0)) [input p13]
24. ~funny(paul) [input hypothesis]
48. ! [X0] : ((~wise(X0) | (~wise(X0) & ~pa... | 0 |
If someone is not tall or kind then someone is not patient or kind and vice versa.
Everyone who is both not quiet and not wise is happy or not funny.
Everyone who is either generous or not curious is humble or creative and vice versa.
Everyone who is patient or not happy is old or tall and vice versa.
Everyone who is n... | Lucy is old. | entailment | ((?[X]:((~tall(X)|kind(X))))<=>(?[X]:((~patient(X)|kind(X)))))&
(![X]:((~quiet(X)&~wise(X))=>(happy(X)|~funny(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(humble(X)|creative(X))))&
(![X]:((patient(X)|~happy(X))<=>(old(X)|tall(X))))&
(![X]:(~humble(X)<=>(~old(X)<~>~humble(X))))&
(![X]:((~old(X)&~funny(X))=>(~kind(X)&cur... | old(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1720086283786611914549955
% SZS output start Proof for 1720086283786611914549955
5. ! [X0] : (~humble(X0) <=> (~old(X0) <~> ~humble(X0))) [input p4]
25. ~old(lucy) [input hypothesis]
47. ! [X0] : ((~humble(X0) | ((~old(X0) | humble(X0)) & (~humble(X0) | old(X0)))) & (((humble(X0) | old(X0... | 0 |
Everyone who is both not calm and not wise is either not calm or kind. If susan is either not old or not strong then someone is either tall or not wise and vice versa. If mary is both not quiet and old then someone is both happy and kind and vice versa. If someone is not happy or not rich then someone is not tall. Ever... | Paul is brave. | contradiction | (![X]:((~calm(X)&~wise(X))=>(~calm(X)<~>kind(X))))&
(((~old(susan)<~>~strong(susan)))<=>(?[X]:((tall(X)<~>~wise(X)))))&
(((~quiet(mary)&old(mary)))<=>(?[X]:((happy(X)&kind(X)))))&
((?[X]:((~happy(X)|~rich(X))))=>(?[X]:(~tall(X))))&
(![X]:((~quiet(X)|creative(X))=>(~generous(X)|brave(X))))&
(((~curious(susan)&wise(susan... | brave(paul) | [
"p2",
"p4",
"p9",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 61812477463225938263497
% SZS output start Proof for 61812477463225938263497
3. (old(mary) & ~quiet(mary)) <=> ? [X0] : (kind(X0) & happy(X0)) [input p2]
5. ! [X0] : ((creative(X0) | ~quiet(X0)) => (brave(X0) | ~generous(X0))) [input p4]
10. ? [X0] : (~calm(X0) & ~generous(X0)) <=> (happy... | 0 |
Everyone who is not brave is both not kind and funny.
If someone is not creative then someone is not rich and vice versa.
Everyone who is not quiet is not tall and vice versa.
If someone is both not quiet and not rich then fred is both humble and not patient and vice versa.
Everyone who is not generous or strong is bra... | Fred is humble. | contradiction | (![X]:(~brave(X)=>(~kind(X)&funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&~rich(X))))<=>((humble(fred)&~patient(fred))))&
(![X]:((~generous(X)|strong(X))=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>old(X)))&
(![X]:((~wise(X)|~generous(X))=>happy(X)))&
(((funny(s... | humble(fred) | [
"p1",
"p3",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1309435888084089120101198
% SZS output start Proof for 1309435888084089120101198
2. ? [X0] : ~creative(X0) <=> ? [X0] : ~rich(X0) [input p1]
4. ? [X0] : (~rich(X0) & ~quiet(X0)) <=> (~patient(fred) & humble(fred)) [input p3]
7. ! [X0] : ((~generous(X0) | ~wise(X0)) => happy(X0)) [input p6... | 0 |
If someone is not creative then fred is not brave and vice versa. If someone is both calm and quiet then someone is quiet and vice versa. If susan is brave then someone is old or creative and vice versa. If someone is both calm and not quiet then john is humble or not strong. Everyone who is both patient and kind is bo... | Mary is not funny. | neutral | ((?[X]:(~creative(X)))<=>(~brave(fred)))&
((?[X]:((calm(X)&quiet(X))))<=>(?[X]:(quiet(X))))&
((brave(susan))<=>(?[X]:((old(X)|creative(X)))))&
((?[X]:((calm(X)&~quiet(X))))=>((humble(john)|~strong(john))))&
(![X]:((patient(X)&kind(X))=>(funny(X)&~calm(X))))&
(![X]:((~creative(X)<~>kind(X))=>(strong(X)<~>~happy(X))))&
(... | ~funny(mary) | [] | null | 0 |
Everyone who is not old or tall is not old or not kind. Everyone who is not creative is not happy. If someone is patient then mary is both brave and wise and vice versa. If someone is both old and curious then someone is not creative and vice versa. Everyone who is either not happy or happy is wise or not strong. If so... | Paul is patient. | contradiction | (![X]:((~old(X)|tall(X))=>(~old(X)|~kind(X))))&
(![X]:(~creative(X)=>~happy(X)))&
((?[X]:(patient(X)))<=>((brave(mary)&wise(mary))))&
((?[X]:((old(X)&curious(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)<~>happy(X))=>(wise(X)|~strong(X))))&
((?[X]:((~curious(X)<~>~patient(X))))<=>((~creative(john)|wise(john))))&
(!... | patient(paul) | [
"p2",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7783951132801245811165744
% SZS output start Proof for 7783951132801245811165744
3. ? [X0] : patient(X0) <=> (wise(mary) & brave(mary)) [input p2]
9. ! [X0] : ((~old(X0) <~> curious(X0)) => ~brave(X0)) [input p8]
18. ~old(mary) & ~curious(mary) [input p17]
25. patient(paul) [input hypothe... | 0 |
Everyone who is not curious is both strong and kind and vice versa.
If susan is not kind or not funny then lucy is not wise or creative.
If someone is strong then someone is either wise or not generous and vice versa.
Everyone who is either not humble or not strong is either not wise or not quiet.
Everyone who is eithe... | Lucy is not rich. | neutral | (![X]:(~curious(X)<=>(strong(X)&kind(X))))&
(((~kind(susan)|~funny(susan)))=>((~wise(lucy)|creative(lucy))))&
((?[X]:(strong(X)))<=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((~humble(X)<~>~strong(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((strong(X)<~>wise(X))=>~wise(X)))&
(![X]:((~kind(X)|~curious(X))=>(~patient(X)&~old(X... | ~rich(lucy) | [] | null | 0 |
If someone is either kind or funny then someone is not happy or not quiet and vice versa.
Everyone who is both funny and strong is either not rich or not strong.
Everyone who is tall is not funny or not kind.
Everyone who is both happy and not happy is patient and vice versa.
Everyone who is either not patient or not b... | Lucy is generous. | neutral | ((?[X]:((kind(X)<~>funny(X))))<=>(?[X]:((~happy(X)|~quiet(X)))))&
(![X]:((funny(X)&strong(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(tall(X)=>(~funny(X)|~kind(X))))&
(![X]:((happy(X)&~happy(X))<=>patient(X)))&
(![X]:((~patient(X)<~>~brave(X))=>(quiet(X)<~>creative(X))))&
(![X]:((tall(X)|old(X))=>generous(X)))&
((?[X]:(pati... | generous(lucy) | [] | null | 0 |
Everyone who is either not patient or not curious is both not kind and not happy.
Everyone who is not old or not strong is not calm or not patient.
Everyone who is generous is not funny and vice versa.
If alice is both tall and not calm then someone is both wise and funny and vice versa.
Everyone who is either not rich... | Mary is generous. | entailment | (![X]:((~patient(X)<~>~curious(X))=>(~kind(X)&~happy(X))))&
(![X]:((~old(X)|~strong(X))=>(~calm(X)|~patient(X))))&
(![X]:(generous(X)<=>~funny(X)))&
(((tall(alice)&~calm(alice)))<=>(?[X]:((wise(X)&funny(X)))))&
(![X]:((~rich(X)<~>~generous(X))<=>calm(X)))&
(![X]:((~kind(X)|~generous(X))=>humble(X)))&
(![X]:((~generous(... | generous(mary) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2816885383551153891222580
% SZS output start Proof for 2816885383551153891222580
6. ! [X0] : ((~generous(X0) | ~kind(X0)) => humble(X0)) [input p5]
8. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (~humble(X0) & rich(X0))) [input p7]
18. ~generous(mary) [input hypothesis]
24. ! [X0] : (humble(X0... | 0 |
Everyone who is both not wise and tall is strong and vice versa.
If lucy is either rich or calm then alice is not creative or rich and vice versa.
Everyone who is both not wise and not tall is either tall or happy and vice versa.
Everyone who is either not kind or not funny is wise.
If john is not happy then someone is... | Mary is funny. | neutral | (![X]:((~wise(X)&tall(X))<=>strong(X)))&
(((rich(lucy)<~>calm(lucy)))<=>((~creative(alice)|rich(alice))))&
(![X]:((~wise(X)&~tall(X))<=>(tall(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~funny(X))=>wise(X)))&
((~happy(john))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curious(X)&~brave(X))=>(~wise(X)&~generous(X))))&
((?[X]:((h... | funny(mary) | [] | null | 0 |
Everyone who is rich is not brave and vice versa. If someone is wise then paul is both calm and not calm. If someone is not strong or generous then paul is both not creative and not generous. Everyone who is both wise and not creative is both not funny and not quiet. Everyone who is rich is both creative and curious. I... | Paul is not creative. | entailment | (![X]:(rich(X)<=>~brave(X)))&
((?[X]:(wise(X)))=>((calm(paul)&~calm(paul))))&
((?[X]:((~strong(X)|generous(X))))=>((~creative(paul)&~generous(paul))))&
(![X]:((wise(X)&~creative(X))=>(~funny(X)&~quiet(X))))&
(![X]:(rich(X)=>(creative(X)&curious(X))))&
(((~wise(paul)|humble(paul)))<=>(?[X]:((~old(X)|happy(X)))))&
((?[X]... | ~creative(paul) | [
"p1",
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5427283373279980521286447
% SZS output start Proof for 5427283373279980521286447
2. ? [X0] : wise(X0) => (~calm(paul) & calm(paul)) [input p1]
3. ? [X0] : (generous(X0) | ~strong(X0)) => (~generous(paul) & ~creative(paul)) [input p2]
14. (old(mary) | wise(mary)) <=> (wise(susan) | generou... | 0 |
If someone is either brave or not rich then someone is calm and vice versa.
Everyone who is old or kind is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and vice versa.
Everyone who is funny is both not creative and generous and vice versa.... | John is creative. | contradiction | ((?[X]:((brave(X)<~>~rich(X))))<=>(?[X]:(calm(X))))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)))<=>((calm(lucy)|~creative(lucy))))&
(![X]:((~happy(X)... | creative(john) | [
"p1",
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6774755966785503893860024
% SZS output start Proof for 6774755966785503893860024
2. ! [X0] : ((kind(X0) | old(X0)) <=> old(X0)) [input p1]
7. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p6]
8. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~rich(mary) [input p7]
13. ! [X0] : (old... | 0 |
Everyone who is both generous and not patient is both calm and humble. If someone is either not kind or quiet then lucy is either not wise or curious. Everyone who is both not curious and curious is both not happy and funny. If someone is either calm or not generous then alice is not humble and vice versa. Everyone who... | Fred is not creative. | neutral | (![X]:((generous(X)&~patient(X))=>(calm(X)&humble(X))))&
((?[X]:((~kind(X)<~>quiet(X))))=>((~wise(lucy)<~>curious(lucy))))&
(![X]:((~curious(X)&curious(X))=>(~happy(X)&funny(X))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(~humble(alice)))&
(![X]:(brave(X)<=>(~rich(X)&~happy(X))))&
(((generous(john)&~strong(john)))<=>(?[X]... | ~creative(fred) | [] | null | 0 |
If someone is not happy or not kind then someone is not patient or not wise and vice versa. Everyone who is both humble and happy is not strong or happy and vice versa. Everyone who is not strong or humble is either tall or not humble and vice versa. If someone is patient then alice is either not patient or not old and... | Fred is creative. | contradiction | ((?[X]:((~happy(X)|~kind(X))))<=>(?[X]:((~patient(X)|~wise(X)))))&
(![X]:((humble(X)&happy(X))<=>(~strong(X)|happy(X))))&
(![X]:((~strong(X)|humble(X))<=>(tall(X)<~>~humble(X))))&
((?[X]:(patient(X)))<=>((~patient(alice)<~>~old(alice))))&
(![X]:((rich(X)&~generous(X))<=>(~wise(X)&generous(X))))&
((?[X]:((tall(X)<~>~kin... | creative(fred) | [
"p4",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5162436870807753433737352
% SZS output start Proof for 5162436870807753433737352
5. ! [X0] : ((~generous(X0) & rich(X0)) <=> (generous(X0) & ~wise(X0))) [input p4]
14. ! [X0] : (creative(X0) <=> ~wise(X0)) [input p13]
22. generous(fred) & ~rich(fred) [input p21]
23. creative(fred) [input ... | 0 |
Everyone who is not patient or old is old or not funny. If susan is tall then paul is either not funny or funny. Everyone who is either not brave or not creative is either not curious or not calm and vice versa. Everyone who is not quiet or not humble is not rich or creative and vice versa. If lucy is either calm or ge... | Lucy is not happy. | neutral | (![X]:((~patient(X)|old(X))=>(old(X)|~funny(X))))&
((tall(susan))=>((~funny(paul)<~>funny(paul))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~rich(X)|creative(X))))&
(((calm(lucy)<~>generous(lucy)))=>((patient(susan)<~>curious(susan))))&
(((~generous(fred)|brave(f... | ~happy(lucy) | [] | null | 0 |
If someone is either not creative or kind then someone is either not generous or not kind and vice versa.
Everyone who is either not kind or not rich is calm or not rich.
If lucy is not rich then someone is not happy or rich and vice versa.
Everyone who is not funny or brave is either not kind or not curious.
Everyone ... | Mary is happy. | neutral | ((?[X]:((~creative(X)<~>kind(X))))<=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:((~kind(X)<~>~rich(X))=>(calm(X)|~rich(X))))&
((~rich(lucy))<=>(?[X]:((~happy(X)|rich(X)))))&
(![X]:((~funny(X)|brave(X))=>(~kind(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>humble(X))=>(kind(X)<~>~calm(X))))&
(![X]:((~funny(X)|generous(X))=... | happy(mary) | [] | null | 0 |
Everyone who is funny or not rich is both not generous and not brave.
If someone is calm or not happy then susan is not generous or not happy.
Everyone who is both tall and humble is either not quiet or not humble.
Everyone who is both wise and happy is brave and vice versa.
If someone is both kind and not creative the... | John is not tall. | entailment | (![X]:((funny(X)|~rich(X))=>(~generous(X)&~brave(X))))&
((?[X]:((calm(X)|~happy(X))))=>((~generous(susan)|~happy(susan))))&
(![X]:((tall(X)&humble(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((wise(X)&happy(X))<=>brave(X)))&
((?[X]:((kind(X)&~creative(X))))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((tall(X)<~>~quiet(X))<=>(h... | ~tall(john) | [
"p2",
"p3",
"p6",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6459351421376994520645786
% SZS output start Proof for 6459351421376994520645786
3. ! [X0] : ((humble(X0) & tall(X0)) => (~quiet(X0) <~> ~humble(X0))) [input p2]
4. ! [X0] : ((happy(X0) & wise(X0)) <=> brave(X0)) [input p3]
7. ! [X0] : ((~rich(X0) | funny(X0)) <=> (humble(X0) | old(X0))) ... | 0 |
Everyone who is tall is either creative or not humble.
Everyone who is not kind or not curious is curious and vice versa.
Everyone who is rich is wise or happy and vice versa.
If lucy is both not strong and funny then mary is humble.
If fred is brave or tall then paul is either not wise or not creative and vice versa.
... | Mary is not patient. | neutral | (![X]:(tall(X)=>(creative(X)<~>~humble(X))))&
(![X]:((~kind(X)|~curious(X))<=>curious(X)))&
(![X]:(rich(X)<=>(wise(X)|happy(X))))&
(((~strong(lucy)&funny(lucy)))=>(humble(mary)))&
(((brave(fred)|tall(fred)))<=>((~wise(paul)<~>~creative(paul))))&
((?[X]:((tall(X)<~>~wise(X))))<=>(?[X]:((quiet(X)<~>humble(X)))))&
((?[X]:... | ~patient(mary) | [] | null | 0 |
If mary is not rich or curious then susan is calm or not brave. If lucy is both strong and not tall then fred is old and vice versa. Everyone who is not strong is both not brave and funny and vice versa. Everyone who is calm or quiet is both not funny and wise and vice versa. Everyone who is not generous is both humble... | Fred is humble. | contradiction | (((~rich(mary)|curious(mary)))=>((calm(susan)|~brave(susan))))&
(((strong(lucy)&~tall(lucy)))<=>(old(fred)))&
(![X]:(~strong(X)<=>(~brave(X)&funny(X))))&
(![X]:((calm(X)|quiet(X))<=>(~funny(X)&wise(X))))&
(![X]:(~generous(X)<=>(humble(X)&curious(X))))&
((?[X]:((~curious(X)|~generous(X))))<=>((creative(fred)&old(fred)))... | humble(fred) | [
"p1",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6826472922875983368358392
% SZS output start Proof for 6826472922875983368358392
2. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p1]
5. ! [X0] : (~generous(X0) <=> (curious(X0) & humble(X0))) [input p4]
6. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(fred)) [inpu... | 0 |
Everyone who is either old or not brave is not rich or not happy and vice versa.
Everyone who is both not wise and not patient is quiet or tall.
Everyone who is both humble and not old is both kind and calm and vice versa.
If someone is not generous or not rich then lucy is not funny and vice versa.
If someone is curio... | Mary is not old. | entailment | (![X]:((old(X)<~>~brave(X))<=>(~rich(X)|~happy(X))))&
(![X]:((~wise(X)&~patient(X))=>(quiet(X)|tall(X))))&
(![X]:((humble(X)&~old(X))<=>(kind(X)&calm(X))))&
((?[X]:((~generous(X)|~rich(X))))<=>(~funny(lucy)))&
((?[X]:((curious(X)|~creative(X))))<=>(?[X]:(~happy(X))))&
(![X]:(~funny(X)=>(creative(X)|~happy(X))))&
((?[X]... | ~old(mary) | [
"p0",
"p10",
"p12",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6393823896639786787950131
% SZS output start Proof for 6393823896639786787950131
1. ! [X0] : ((old(X0) <~> ~brave(X0)) <=> (~happy(X0) | ~rich(X0))) [input p0]
11. ! [X0] : ((~calm(X0) & strong(X0)) <=> (~strong(X0) <~> ~old(X0))) [input p10]
13. (creative(mary) <~> happy(mary)) <=> (~bra... | 0 |
If someone is either curious or not quiet then lucy is not humble. If someone is either not patient or not rich then mary is both old and not humble. Everyone who is either wise or not generous is either tall or not patient and vice versa. If lucy is old then someone is both not quiet and rich. Everyone who is calm or ... | Susan is calm. | contradiction | ((?[X]:((curious(X)<~>~quiet(X))))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~rich(X))))=>((old(mary)&~humble(mary))))&
(![X]:((wise(X)<~>~generous(X))<=>(tall(X)<~>~patient(X))))&
((old(lucy))=>(?[X]:((~quiet(X)&rich(X)))))&
(![X]:((calm(X)|wise(X))<=>kind(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|~rich(X))))&
((... | calm(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8632878944751328302700614
% SZS output start Proof for 8632878944751328302700614
5. ! [X0] : ((wise(X0) | calm(X0)) <=> kind(X0)) [input p4]
10. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p9]
24. calm(susan) [input hypothesis]
40. ! [X0] : (((wise(X0) | c... | 0 |
If paul is not rich then john is both kind and calm.
Everyone who is patient or kind is not creative and vice versa.
Everyone who is not generous is either humble or wise and vice versa.
If someone is not curious then john is both not kind and kind.
Everyone who is either not quiet or not calm is not strong or not calm... | John is happy. | entailment | ((~rich(paul))=>((kind(john)&calm(john))))&
(![X]:((patient(X)|kind(X))<=>~creative(X)))&
(![X]:(~generous(X)<=>(humble(X)<~>wise(X))))&
((?[X]:(~curious(X)))=>((~kind(john)&kind(john))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~strong(X)|~calm(X))))&
(![X]:(creative(X)<=>(~quiet(X)|kind(X))))&
((?[X]:(kind(X)))=>(?[X]:(tall... | happy(john) | [
"p1",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6121054726523756673253921
% SZS output start Proof for 6121054726523756673253921
2. ! [X0] : ((kind(X0) | patient(X0)) <=> ~creative(X0)) [input p1]
6. ! [X0] : (creative(X0) <=> (kind(X0) | ~quiet(X0))) [input p5]
17. kind(john) | happy(john) [input p16]
22. ~happy(john) [input hypothesi... | 0 |
Everyone who is happy is both old and not generous.
Everyone who is not funny is both curious and not humble and vice versa.
If lucy is either old or not calm then susan is either not quiet or calm.
If someone is old or not rich then someone is both not quiet and not tall.
If someone is both not patient and tall then f... | Alice is old. | entailment | (![X]:(happy(X)=>(old(X)&~generous(X))))&
(![X]:(~funny(X)<=>(curious(X)&~humble(X))))&
(((old(lucy)<~>~calm(lucy)))=>((~quiet(susan)<~>calm(susan))))&
((?[X]:((old(X)|~rich(X))))=>(?[X]:((~quiet(X)&~tall(X)))))&
((?[X]:((~patient(X)&tall(X))))=>((~generous(fred)|~wise(fred))))&
(![X]:(~patient(X)<=>(rich(X)<~>~patient... | old(alice) | [
"p1",
"p5",
"p7",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8647826658880263130467148
% SZS output start Proof for 8647826658880263130467148
2. ! [X0] : (~funny(X0) <=> (~humble(X0) & curious(X0))) [input p1]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~patient(X0))) [input p5]
8. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~old(X0) & tall(X0))) [inpu... | 0 |
Everyone who is either not calm or kind is calm or not brave and vice versa. If alice is either not tall or generous then paul is both not strong and funny. Everyone who is either brave or not brave is both not strong and generous. Everyone who is both not old and not curious is not happy or curious and vice versa. Eve... | Mary is generous. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(calm(X)|~brave(X))))&
(((~tall(alice)<~>generous(alice)))=>((~strong(paul)&funny(paul))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>generous(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((~kind(X)<~>b... | generous(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7982524384943323851317300
% SZS output start Proof for 7982524384943323851317300
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p2]
24. ~generous(mary) [input hypothesis]
27. ! [X0] : ((generous(X0) & ~strong(X0)) | (brave(X0) <=> ~brave(X0))) [ennf transf... | 0 |
Everyone who is either not quiet or not tall is generous. If lucy is happy then someone is not kind and vice versa. Everyone who is both calm and rich is either not brave or strong. Everyone who is curious or not patient is both not brave and tall and vice versa. If alice is either not patient or not funny then john is... | Lucy is not patient. | contradiction | (![X]:((~quiet(X)<~>~tall(X))=>generous(X)))&
((happy(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)&rich(X))=>(~brave(X)<~>strong(X))))&
(![X]:((curious(X)|~patient(X))<=>(~brave(X)&tall(X))))&
(((~patient(alice)<~>~funny(alice)))<=>((~creative(john)<~>~quiet(john))))&
(![X]:((creative(X)&~tall(X))=>~strong(X)))&
((crea... | ~patient(lucy) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1413434546183394772556480
% SZS output start Proof for 1413434546183394772556480
4. ! [X0] : ((~patient(X0) | curious(X0)) <=> (tall(X0) & ~brave(X0))) [input p3]
12. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~calm(X0) & patient(X0))) [input p11]
24. ~patient(lucy) [input hypothesis]
44... | 0 |
If someone is either not generous or not brave then susan is both kind and calm. If fred is not rich then someone is either kind or not tall and vice versa. Everyone who is not happy or not kind is both not tall and calm. Everyone who is either not patient or tall is old and vice versa. Everyone who is both happy and n... | Paul is tall. | contradiction | ((?[X]:((~generous(X)<~>~brave(X))))=>((kind(susan)&calm(susan))))&
((~rich(fred))<=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((~happy(X)|~kind(X))=>(~tall(X)&calm(X))))&
(![X]:((~patient(X)<~>tall(X))<=>old(X)))&
(![X]:((happy(X)&~patient(X))<=>(curious(X)<~>~old(X))))&
((curious(alice))=>(?[X]:((~strong(X)&~creative(X))... | tall(paul) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6200054040874345665359842
% SZS output start Proof for 6200054040874345665359842
3. ! [X0] : ((~kind(X0) | ~happy(X0)) => (calm(X0) & ~tall(X0))) [input p2]
11. ! [X0] : ((wise(X0) | kind(X0)) <=> ~kind(X0)) [input p10]
23. tall(paul) [input hypothesis]
32. ! [X0] : ((calm(X0) & ~tall(X0)... | 0 |
If someone is not strong or not calm then someone is either quiet or not quiet and vice versa. Everyone who is both not creative and strong is either not strong or not happy. Everyone who is either not strong or not funny is not wise and vice versa. If alice is either not happy or not brave then alice is both kind and ... | Mary is not wise. | neutral | ((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~creative(X)&strong(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>~wise(X)))&
(((~happy(alice)<~>~brave(alice)))<=>((kind(alice)&calm(alice))))&
(![X]:((~wise(X)<~>~funny(X))<=>(~funny(X)&wise(X))))&
(((strong(mary)|humble(... | ~wise(mary) | [] | null | 0 |
If alice is either not happy or not humble then alice is not wise or humble.
Everyone who is either quiet or not happy is either not rich or not creative and vice versa.
If john is kind then fred is calm.
Everyone who is both not humble and not rich is either not patient or not old.
Everyone who is not wise or not kind... | Mary is happy. | entailment | (((~happy(alice)<~>~humble(alice)))=>((~wise(alice)|humble(alice))))&
(![X]:((quiet(X)<~>~happy(X))<=>(~rich(X)<~>~creative(X))))&
((kind(john))=>(calm(fred)))&
(![X]:((~humble(X)&~rich(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~wise(X)|~kind(X))=>humble(X)))&
(![X]:((~creative(X)<~>~curious(X))=>~generous(X)))&
((brave(... | happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5534493934750380751520395
% SZS output start Proof for 5534493934750380751520395
10. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> happy(X0)) [input p9]
23. ~happy(mary) [input hypothesis]
49. ! [X0] : (((~brave(X0) | ~happy(X0)) | ~happy(X0)) & (happy(X0) | (brave(X0) & happy(X0)))) [nnf trans... | 0 |
Everyone who is both not kind and not funny is both not old and not strong.
If someone is both not humble and old then lucy is kind or old.
Everyone who is not old or not humble is either not wise or creative and vice versa.
Everyone who is tall is patient or not generous and vice versa.
Everyone who is not calm is eit... | Susan is brave. | contradiction | (![X]:((~kind(X)&~funny(X))=>(~old(X)&~strong(X))))&
((?[X]:((~humble(X)&old(X))))=>((kind(lucy)|old(lucy))))&
(![X]:((~old(X)|~humble(X))<=>(~wise(X)<~>creative(X))))&
(![X]:(tall(X)<=>(patient(X)|~generous(X))))&
(![X]:(~calm(X)=>(calm(X)<~>humble(X))))&
(((~rich(fred)|funny(fred)))<=>((~brave(fred)<~>happy(fred))))&... | brave(susan) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1450041613040304653768587
% SZS output start Proof for 1450041613040304653768587
9. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (~creative(X0) | kind(X0))) [input p8]
18. ~brave(susan) <~> kind(susan) [input p17]
25. brave(susan) [input hypothesis]
47. ! [X0] : (((patient(X0) & ~brave(X0)) |... | 0 |
If someone is calm then someone is brave. If someone is not rich or not tall then someone is not humble and vice versa. If someone is both kind and not brave then alice is old and vice versa. If susan is both patient and not generous then john is not funny. Everyone who is either curious or not generous is both not cre... | Mary is creative. | neutral | ((?[X]:(calm(X)))=>(?[X]:(brave(X))))&
((?[X]:((~rich(X)|~tall(X))))<=>(?[X]:(~humble(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(old(alice)))&
(((patient(susan)&~generous(susan)))=>(~funny(john)))&
(![X]:((curious(X)<~>~generous(X))=>(~creative(X)&calm(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((generous(X)|~brave(X)))... | creative(mary) | [] | null | 0 |
Everyone who is calm or not tall is creative or not curious and vice versa.
If someone is both not quiet and not funny then someone is not calm.
Everyone who is tall is either not curious or rich.
If someone is brave then someone is both tall and not funny and vice versa.
Everyone who is kind is both happy and kind.
Ev... | Fred is kind. | entailment | (![X]:((calm(X)|~tall(X))<=>(creative(X)|~curious(X))))&
((?[X]:((~quiet(X)&~funny(X))))=>(?[X]:(~calm(X))))&
(![X]:(tall(X)=>(~curious(X)<~>rich(X))))&
((?[X]:(brave(X)))<=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:(kind(X)=>(happy(X)&kind(X))))&
(![X]:((~old(X)<~>tall(X))=>(kind(X)|~humble(X))))&
(![X]:(old(X)<=>(~patient... | kind(fred) | [
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2720809817472979235167396
% SZS output start Proof for 2720809817472979235167396
14. ! [X0] : (~strong(X0) <=> (kind(X0) & rich(X0))) [input p13]
23. ~strong(fred) [input p22]
25. ~kind(fred) [input hypothesis]
59. ! [X0] : ((~strong(X0) | (~kind(X0) | ~rich(X0))) & ((kind(X0) & rich(X0))... | 0 |
If paul is brave then someone is either not calm or tall and vice versa.
If alice is not patient or not funny then john is both not creative and humble.
Everyone who is both not rich and not funny is both not kind and not patient.
If john is curious or not patient then someone is not creative or generous and vice versa... | Paul is rich. | entailment | ((brave(paul))<=>(?[X]:((~calm(X)<~>tall(X)))))&
(((~patient(alice)|~funny(alice)))=>((~creative(john)&humble(john))))&
(![X]:((~rich(X)&~funny(X))=>(~kind(X)&~patient(X))))&
(((curious(john)|~patient(john)))<=>(?[X]:((~creative(X)|generous(X)))))&
((wise(fred))<=>((~rich(alice)<~>tall(alice))))&
(((strong(lucy)|~humbl... | rich(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 761094559884480820341170
% SZS output start Proof for 761094559884480820341170
11. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (calm(X0) & ~calm(X0))) [input p10]
25. ~rich(paul) [input hypothesis]
32. ! [X0] : ((calm(X0) & ~calm(X0)) | (quiet(X0) & rich(X0))) [ennf transformation 11]
116. ~cal... | 0 |
Everyone who is both not patient and happy is old or not old and vice versa.
If fred is rich then someone is not tall or kind.
Everyone who is not calm or not tall is both tall and not strong and vice versa.
Everyone who is either not tall or happy is not rich.
If lucy is not curious then someone is both happy and not ... | Alice is tall. | entailment | (![X]:((~patient(X)&happy(X))<=>(old(X)|~old(X))))&
((rich(fred))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(tall(X)&~strong(X))))&
(![X]:((~tall(X)<~>happy(X))=>~rich(X)))&
((~curious(lucy))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((funny(X)&~brave(X))<=>(happy(X)|kind(X))))&
(![X]:((creative(X)&~kin... | tall(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6999874365803884021379766
% SZS output start Proof for 6999874365803884021379766
3. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> (~strong(X0) & tall(X0))) [input p2]
23. ~tall(alice) [input hypothesis]
44. ! [X0] : (((~tall(X0) | ~calm(X0)) | (strong(X0) | ~tall(X0))) & ((~strong(X0) & tall(X0))... | 0 |
Everyone who is both not happy and wise is not humble or not patient and vice versa.
Everyone who is both calm and not patient is curious or not patient.
If mary is brave or not quiet then someone is both funny and humble.
Everyone who is not rich or not happy is both not old and not funny.
If mary is old or not tall t... | John is patient. | entailment | (![X]:((~happy(X)&wise(X))<=>(~humble(X)|~patient(X))))&
(![X]:((calm(X)&~patient(X))=>(curious(X)|~patient(X))))&
(((brave(mary)|~quiet(mary)))=>(?[X]:((funny(X)&humble(X)))))&
(![X]:((~rich(X)|~happy(X))=>(~old(X)&~funny(X))))&
(((old(mary)|~tall(mary)))=>(?[X]:((~curious(X)&calm(X)))))&
(![X]:((~generous(X)|generous... | patient(john) | [
"p0",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8548519438928150585193490
% SZS output start Proof for 8548519438928150585193490
1. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (~patient(X0) | ~humble(X0))) [input p0]
4. ! [X0] : ((~happy(X0) | ~rich(X0)) => (~funny(X0) & ~old(X0))) [input p3]
11. ! [X0] : ((~funny(X0) & old(X0)) <=> (~old(X0... | 0 |
Everyone who is not quiet is brave or wise. Everyone who is both curious and happy is not brave. Everyone who is tall or creative is funny. Everyone who is either creative or not funny is either not generous or not calm. Everyone who is not creative is humble and vice versa. Everyone who is not creative is rich or funn... | John is tall. | neutral | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>~brave(X)))&
(![X]:((tall(X)|creative(X))=>funny(X)))&
(![X]:((creative(X)<~>~funny(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:(~creative(X)<=>(rich(X)|funny(X))))&
(![X]:((~humble(X)|~funny(X))<=>(tall(X)&~funny(X))))... | tall(john) | [] | null | 0 |
If someone is either not quiet or creative then john is either tall or calm. Everyone who is either happy or strong is not calm. Everyone who is quiet is either not tall or not happy and vice versa. Everyone who is either tall or kind is tall and vice versa. If someone is either not strong or not curious then john is c... | John is not tall. | neutral | ((?[X]:((~quiet(X)<~>creative(X))))=>((tall(john)<~>calm(john))))&
(![X]:((happy(X)<~>strong(X))=>~calm(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((tall(X)<~>kind(X))<=>tall(X)))&
((?[X]:((~strong(X)<~>~curious(X))))=>((creative(john)|wise(john))))&
(![X]:((generous(X)&~humble(X))<=>rich(X)))&
((?[X]:((~f... | ~tall(john) | [] | null | 0 |
Everyone who is brave is either not wise or not kind and vice versa. Everyone who is either not wise or not curious is either not brave or funny and vice versa. If susan is either not generous or strong then someone is either patient or not funny and vice versa. If someone is not curious or brave then john is either no... | John is not patient. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~brave(X)<~>funny(X))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~happy(john)<~>~generous(john))))&
(((~old(john)|generous(john)))=>((patient(paul)|old(paul))))&
(![X]:(g... | ~patient(john) | [
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4244951966589370086657218
% SZS output start Proof for 4244951966589370086657218
7. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input p10]
15. ! [X0] : ((quiet(X0) | kind(X0)) <=> (patient(X0) & strong(... | 0 |
Everyone who is both wise and not patient is either tall or not wise. If someone is curious then john is both not humble and not curious and vice versa. If someone is either funny or not old then someone is happy and vice versa. Everyone who is not strong or patient is either not patient or humble. Everyone who is eith... | John is not humble. | contradiction | (![X]:((wise(X)&~patient(X))=>(tall(X)<~>~wise(X))))&
((?[X]:(curious(X)))<=>((~humble(john)&~curious(john))))&
((?[X]:((funny(X)<~>~old(X))))<=>(?[X]:(happy(X))))&
(![X]:((~strong(X)|patient(X))=>(~patient(X)<~>humble(X))))&
(![X]:((generous(X)<~>strong(X))<=>(~quiet(X)|humble(X))))&
((?[X]:((rich(X)|happy(X))))=>((~c... | ~humble(john) | [
"p1",
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1836658763858089747635215
% SZS output start Proof for 1836658763858089747635215
2. ? [X0] : curious(X0) <=> (~curious(john) & ~humble(john)) [input p1]
4. ! [X0] : ((patient(X0) | ~strong(X0)) => (~patient(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((generous(X0) <~> strong(X0)) <=> (hu... | 0 |
If mary is either not happy or curious then mary is brave and vice versa. If mary is both happy and not tall then someone is not funny. If lucy is creative or humble then alice is not calm or not creative and vice versa. Everyone who is not creative or funny is not rich or not generous and vice versa. Everyone who is b... | Mary is rich. | entailment | (((~happy(mary)<~>curious(mary)))<=>(brave(mary)))&
(((happy(mary)&~tall(mary)))=>(?[X]:(~funny(X))))&
(((creative(lucy)|humble(lucy)))<=>((~calm(alice)|~creative(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~rich(X)|~generous(X))))&
(![X]:((~curious(X)&~funny(X))<=>(curious(X)&kind(X))))&
(![X]:((wise(X)&~funny(X))<=>... | rich(mary) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4752357827421073240954693
% SZS output start Proof for 4752357827421073240954693
1. (~happy(mary) <~> curious(mary)) <=> brave(mary) [input p0]
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (~generous(X0) | ~rich(X0))) [input p3]
5. ! [X0] : ((~funny(X0) & ~curious(X0)) <=> (kind(X0) & cur... | 0 |
Everyone who is both not generous and wise is either happy or not kind and vice versa. If mary is not curious then alice is either kind or calm and vice versa. Everyone who is humble is creative or calm and vice versa. Everyone who is both not humble and creative is quiet. Everyone who is old or not curious is both not... | Alice is strong. | contradiction | (![X]:((~generous(X)&wise(X))<=>(happy(X)<~>~kind(X))))&
((~curious(mary))<=>((kind(alice)<~>calm(alice))))&
(![X]:(humble(X)<=>(creative(X)|calm(X))))&
(![X]:((~humble(X)&creative(X))=>quiet(X)))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~tall(X))))&
(![X]:((creative(X)<~>old(X))=>(curious(X)|happy(X))))&
(![X]:((~calm(X... | strong(alice) | [
"p4",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 164078520272659583494272
% SZS output start Proof for 164078520272659583494272
5. ! [X0] : ((~curious(X0) | old(X0)) => (~tall(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (curious(X0) & calm(X0))) [input p6]
8. ! [X0] : ((~happy(X0) <~> happy(X0)) => (~tall(X0) <~>... | 0 |
If someone is creative or not strong then someone is wise. Everyone who is not humble is not strong. Everyone who is either funny or kind is both not brave and tall. Everyone who is patient is either not funny or not tall and vice versa. Everyone who is patient is both not kind and humble and vice versa. Everyone who i... | Alice is tall. | entailment | ((?[X]:((creative(X)|~strong(X))))=>(?[X]:(wise(X))))&
(![X]:(~humble(X)=>~strong(X)))&
(![X]:((funny(X)<~>kind(X))=>(~brave(X)&tall(X))))&
(![X]:(patient(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~>~gene... | tall(alice) | [
"p2",
"p3",
"p4",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8903610657940769833190721
% SZS output start Proof for 8903610657940769833190721
3. ! [X0] : ((funny(X0) <~> kind(X0)) => (tall(X0) & ~brave(X0))) [input p2]
4. ! [X0] : (patient(X0) <=> (~funny(X0) <~> ~tall(X0))) [input p3]
5. ! [X0] : (patient(X0) <=> (humble(X0) & ~kind(X0))) [input p... | 0 |
If lucy is either not generous or tall then paul is either not wise or not funny and vice versa.
If mary is quiet then someone is both quiet and funny.
If someone is not wise or not strong then someone is both not curious and not wise.
Everyone who is either old or not humble is not calm or not wise.
Everyone who is cr... | Fred is not funny. | neutral | (((~generous(lucy)<~>tall(lucy)))<=>((~wise(paul)<~>~funny(paul))))&
((quiet(mary))=>(?[X]:((quiet(X)&funny(X)))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~curious(X)&~wise(X)))))&
(![X]:((old(X)<~>~humble(X))=>(~calm(X)|~wise(X))))&
(![X]:(creative(X)=>(~old(X)<~>~tall(X))))&
(![X]:((~wise(X)|~creative(X))<=>(quiet(... | ~funny(fred) | [] | null | 0 |
If paul is both not old and tall then someone is not generous and vice versa. Everyone who is not patient is not calm or patient and vice versa. Everyone who is not humble or generous is both tall and humble and vice versa. If mary is either calm or not old then someone is either strong or not creative and vice versa. ... | Fred is not humble. | contradiction | (((~old(paul)&tall(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(~patient(X)<=>(~calm(X)|patient(X))))&
(![X]:((~humble(X)|generous(X))<=>(tall(X)&humble(X))))&
(((calm(mary)<~>~old(mary)))<=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>~curious(X))=>(~strong(X)<~>quiet(X))))&
(((~old(lucy)|rich(lucy)))=>((~gene... | ~humble(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 103749988590147296372084
% SZS output start Proof for 103749988590147296372084
3. ! [X0] : ((generous(X0) | ~humble(X0)) <=> (humble(X0) & tall(X0))) [input p2]
24. ~humble(fred) [input hypothesis]
45. ! [X0] : (((generous(X0) | ~humble(X0)) | (~humble(X0) | ~tall(X0))) & ((humble(X0) & t... | 0 |
If someone is both humble and not generous then someone is not strong or not patient and vice versa.
If someone is not calm then mary is either curious or not humble and vice versa.
If paul is calm or generous then john is not happy.
Everyone who is both not rich and happy is either not strong or kind and vice versa.
E... | Fred is not rich. | entailment | ((?[X]:((humble(X)&~generous(X))))<=>(?[X]:((~strong(X)|~patient(X)))))&
((?[X]:(~calm(X)))<=>((curious(mary)<~>~humble(mary))))&
(((calm(paul)|generous(paul)))=>(~happy(john)))&
(![X]:((~rich(X)&happy(X))<=>(~strong(X)<~>kind(X))))&
(![X]:((happy(X)&~brave(X))=>(old(X)<~>~patient(X))))&
(![X]:((~creative(X)|generous(X... | ~rich(fred) | [
"p3",
"p6",
"p12",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1881652951406564545783084
% SZS output start Proof for 1881652951406564545783084
4. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (~strong(X0) <~> kind(X0))) [input p3]
7. (patient(fred) <~> ~humble(fred)) <=> ? [X0] : ~brave(X0) [input p6]
13. ! [X0] : ((~kind(X0) | brave(X0)) <=> ~patient(X0)) ... | 0 |
Everyone who is tall or not creative is not generous.
Everyone who is patient or strong is both not patient and tall.
Everyone who is both quiet and creative is either not tall or patient.
Everyone who is not brave is both generous and not strong.
Everyone who is creative or not kind is rich or not creative.
Everyone w... | Paul is curious. | entailment | (![X]:((tall(X)|~creative(X))=>~generous(X)))&
(![X]:((patient(X)|strong(X))=>(~patient(X)&tall(X))))&
(![X]:((quiet(X)&creative(X))=>(~tall(X)<~>patient(X))))&
(![X]:(~brave(X)=>(generous(X)&~strong(X))))&
(![X]:((creative(X)|~kind(X))=>(rich(X)|~creative(X))))&
(![X]:((~strong(X)&~humble(X))<=>~strong(X)))&
(((creati... | curious(paul) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2976585895865016470905280
% SZS output start Proof for 2976585895865016470905280
1. ! [X0] : ((~creative(X0) | tall(X0)) => ~generous(X0)) [input p0]
2. ! [X0] : ((strong(X0) | patient(X0)) => (tall(X0) & ~patient(X0))) [input p1]
4. ! [X0] : (~brave(X0) => (~strong(X0) & generous(X0))) [... | 0 |
Everyone who is patient is both rich and kind.
If mary is not brave then someone is strong or not happy and vice versa.
If someone is not wise or not rich then someone is curious or kind.
Everyone who is both not rich and patient is not quiet or not old and vice versa.
If john is humble then susan is either not creativ... | Fred is not generous. | neutral | (![X]:(patient(X)=>(rich(X)&kind(X))))&
((~brave(mary))<=>(?[X]:((strong(X)|~happy(X)))))&
((?[X]:((~wise(X)|~rich(X))))=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~quiet(X)|~old(X))))&
((humble(john))=>((~creative(susan)<~>funny(susan))))&
(![X]:(humble(X)<=>~calm(X)))&
(![X]:((~strong(X)<~>quiet... | ~generous(fred) | [] | null | 0 |
If someone is both wise and patient then someone is strong. If alice is strong then fred is either not quiet or not happy and vice versa. If someone is either not curious or not strong then susan is not patient. Everyone who is both patient and calm is not generous and vice versa. If john is either not generous or not ... | Mary is brave. | entailment | ((?[X]:((wise(X)&patient(X))))=>(?[X]:(strong(X))))&
((strong(alice))<=>((~quiet(fred)<~>~happy(fred))))&
((?[X]:((~curious(X)<~>~strong(X))))=>(~patient(susan)))&
(![X]:((patient(X)&calm(X))<=>~generous(X)))&
(((~generous(john)<~>~strong(john)))=>((~creative(lucy)|patient(lucy))))&
(![X]:((rich(X)&~happy(X))=>~wise(X)... | brave(mary) | [
"p3",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3820139476073741640928076
% SZS output start Proof for 3820139476073741640928076
4. ! [X0] : ((calm(X0) & patient(X0)) <=> ~generous(X0)) [input p3]
11. ? [X0] : (~happy(X0) | curious(X0)) <=> ~generous(mary) [input p10]
15. ! [X0] : ((~strong(X0) & brave(X0)) <=> (patient(X0) | rich(X0))... | 0 |
Everyone who is either not funny or wise is both not curious and creative and vice versa. Everyone who is either strong or generous is rich or curious. If someone is either creative or humble then alice is not curious or not wise and vice versa. Everyone who is both not brave and not kind is brave and vice versa. If so... | Paul is brave. | contradiction | (![X]:((~funny(X)<~>wise(X))<=>(~curious(X)&creative(X))))&
(![X]:((strong(X)<~>generous(X))=>(rich(X)|curious(X))))&
((?[X]:((creative(X)<~>humble(X))))<=>((~curious(alice)|~wise(alice))))&
(![X]:((~brave(X)&~kind(X))<=>brave(X)))&
((?[X]:((~funny(X)<~>~calm(X))))=>(~curious(susan)))&
(![X]:((~humble(X)&~generous(X))=... | brave(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3650188078236365593262637
% SZS output start Proof for 3650188078236365593262637
4. ! [X0] : ((~kind(X0) & ~brave(X0)) <=> brave(X0)) [input p3]
25. brave(paul) [input hypothesis]
43. ! [X0] : (((~kind(X0) & ~brave(X0)) | ~brave(X0)) & (brave(X0) | (kind(X0) | brave(X0)))) [nnf transforma... | 0 |
Everyone who is not calm or not happy is both not funny and not rich and vice versa. If fred is funny then someone is funny or calm. Everyone who is tall or rich is either humble or not rich. If alice is either patient or not rich then lucy is not old and vice versa. If paul is not kind then someone is both quiet and n... | Alice is funny. | contradiction | (![X]:((~calm(X)|~happy(X))<=>(~funny(X)&~rich(X))))&
((funny(fred))=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((tall(X)|rich(X))=>(humble(X)<~>~rich(X))))&
(((patient(alice)<~>~rich(alice)))<=>(~old(lucy)))&
((~kind(paul))<=>(?[X]:((quiet(X)&~happy(X)))))&
(![X]:(~happy(X)<=>(~creative(X)&~tall(X))))&
(![X]:((wise(X)|~quie... | funny(alice) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4189572648199157411887167
% SZS output start Proof for 4189572648199157411887167
1. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (~rich(X0) & ~funny(X0))) [input p0]
3. ! [X0] : ((rich(X0) | tall(X0)) => (humble(X0) <~> ~rich(X0))) [input p2]
7. ! [X0] : ((~quiet(X0) | wise(X0)) => tall(X0)) [i... | 0 |
If someone is not generous or curious then susan is either not calm or not wise and vice versa.
If someone is either not patient or humble then someone is both calm and strong and vice versa.
Everyone who is either brave or not old is both not brave and not patient.
Everyone who is both not wise and not calm is calm.
E... | Paul is creative. | neutral | ((?[X]:((~generous(X)|curious(X))))<=>((~calm(susan)<~>~wise(susan))))&
((?[X]:((~patient(X)<~>humble(X))))<=>(?[X]:((calm(X)&strong(X)))))&
(![X]:((brave(X)<~>~old(X))=>(~brave(X)&~patient(X))))&
(![X]:((~wise(X)&~calm(X))=>calm(X)))&
(![X]:((kind(X)<~>strong(X))=>(~creative(X)&~kind(X))))&
((?[X]:(brave(X)))<=>(?[X]:... | creative(paul) | [] | null | 0 |
If someone is both not happy and patient then someone is both wise and not brave and vice versa.
Everyone who is either not funny or not strong is either strong or humble.
Everyone who is either old or humble is both rich and old and vice versa.
Everyone who is both kind and not wise is either quiet or creative and vic... | Paul is not wise. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~funny(X)<~>~strong(X))=>(strong(X)<~>humble(X))))&
(![X]:((old(X)<~>humble(X))<=>(rich(X)&old(X))))&
(![X]:((kind(X)&~wise(X))<=>(quiet(X)<~>creative(X))))&
(![X]:(strong(X)<=>(patient(X)&~happy(X))))&
(![X]:(~funny(X)<=>(~humble(X)&~curious(X))... | ~wise(paul) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 640571636902948941257061
% SZS output start Proof for 640571636902948941257061
10. ! [X0] : ((~calm(X0) | rich(X0)) => ~patient(X0)) [input p9]
12. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~quiet(X0) & ~wise(X0))) [input p11]
25. wise(paul) [input hypothesis]
32. ! [X0] : (~patient(X0) | ... | 0 |
Everyone who is not curious is either patient or rich and vice versa. If fred is humble then someone is either old or patient. If someone is wise or patient then someone is generous. Everyone who is both not happy and generous is both brave and not old and vice versa. If someone is both calm and not funny then someone ... | Mary is patient. | entailment | (![X]:(~curious(X)<=>(patient(X)<~>rich(X))))&
((humble(fred))=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((wise(X)|patient(X))))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&generous(X))<=>(brave(X)&~old(X))))&
((?[X]:((calm(X)&~funny(X))))=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~calm(X)&old(X))... | patient(mary) | [
"p3",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2673315426241916837207743
% SZS output start Proof for 2673315426241916837207743
4. ! [X0] : ((generous(X0) & ~happy(X0)) <=> (~old(X0) & brave(X0))) [input p3]
9. ! [X0] : (~curious(X0) <=> (creative(X0) | ~patient(X0))) [input p8]
11. ! [X0] : ((quiet(X0) <~> brave(X0)) <=> ~quiet(X0)) ... | 0 |
Everyone who is funny is not funny or rich.
Everyone who is not humble or not wise is either patient or not calm.
Everyone who is either not wise or not humble is either not tall or brave and vice versa.
Everyone who is either not kind or not old is not old or not wise.
Everyone who is brave or not strong is tall.
Ever... | Fred is not rich. | entailment | (![X]:(funny(X)=>(~funny(X)|rich(X))))&
(![X]:((~humble(X)|~wise(X))=>(patient(X)<~>~calm(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~tall(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~old(X)|~wise(X))))&
(![X]:((brave(X)|~strong(X))=>tall(X)))&
(![X]:((patient(X)<~>wise(X))<=>(~quiet(X)<~>~curious(X))))&
((?[X]:((~br... | ~rich(fred) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 808817572842865124169324
% SZS output start Proof for 808817572842865124169324
2. ! [X0] : ((~wise(X0) | ~humble(X0)) => (patient(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (~tall(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | brave(X0)) => tal... | 0 |
If someone is either not strong or humble then susan is funny or calm and vice versa.
If alice is either generous or not brave then someone is creative.
Everyone who is strong is not wise and vice versa.
If someone is either not curious or curious then susan is not tall or not old and vice versa.
Everyone who is genero... | Alice is not humble. | contradiction | ((?[X]:((~strong(X)<~>humble(X))))<=>((funny(susan)|calm(susan))))&
(((generous(alice)<~>~brave(alice)))=>(?[X]:(creative(X))))&
(![X]:(strong(X)<=>~wise(X)))&
((?[X]:((~curious(X)<~>curious(X))))<=>((~tall(susan)|~old(susan))))&
(![X]:((generous(X)|happy(X))<=>(creative(X)<~>brave(X))))&
(((humble(alice)&brave(alice))... | ~humble(alice) | [
"p2",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5712666505488964463641942
% SZS output start Proof for 5712666505488964463641942
3. ! [X0] : (strong(X0) <=> ~wise(X0)) [input p2]
6. (brave(alice) & humble(alice)) <=> ? [X0] : (quiet(X0) | ~strong(X0)) [input p5]
18. funny(alice) & wise(alice) [input p17]
25. ~humble(alice) [input hypot... | 0 |
If paul is either happy or not humble then someone is either kind or not curious. Everyone who is either tall or not patient is strong or tall and vice versa. If mary is both not brave and humble then john is both funny and not old and vice versa. If lucy is both tall and wise then someone is both calm and creative and... | Alice is happy. | entailment | (((happy(paul)<~>~humble(paul)))=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>~patient(X))<=>(strong(X)|tall(X))))&
(((~brave(mary)&humble(mary)))<=>((funny(john)&~old(john))))&
(((tall(lucy)&wise(lucy)))<=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((kind(X)<~>wise(X))))=>((curious(paul)<~>~creative(paul))))&
((... | happy(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4259363136903250060303932
% SZS output start Proof for 4259363136903250060303932
14. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) <~> old(X0))) [input p13]
22. ~happy(alice) [input hypothesis]
55. ! [X0] : (((happy(X0) & ~quiet(X0)) | ((~old(X0) | ~old(X0)) & (old(X0) | old(X0)))) & (... | 0 |
Everyone who is either not curious or rich is calm and vice versa.
If someone is not creative then someone is either patient or not humble.
Everyone who is rich is both not rich and not creative.
If someone is both not rich and wise then someone is brave or happy.
If someone is generous or rich then someone is both not... | Alice is not humble. | neutral | (![X]:((~curious(X)<~>rich(X))<=>calm(X)))&
((?[X]:(~creative(X)))=>(?[X]:((patient(X)<~>~humble(X)))))&
(![X]:(rich(X)=>(~rich(X)&~creative(X))))&
((?[X]:((~rich(X)&wise(X))))=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:((generous(X)|rich(X))))=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:(generous(X)))=>((~generous(lucy)&~funny(l... | ~humble(alice) | [] | null | 0 |
If someone is curious or quiet then someone is not tall.
If alice is not curious then someone is not brave and vice versa.
If someone is not quiet or not funny then someone is tall or patient and vice versa.
If susan is both generous and patient then someone is generous.
Everyone who is wise or rich is not quiet or not... | Mary is humble. | entailment | ((?[X]:((curious(X)|quiet(X))))=>(?[X]:(~tall(X))))&
((~curious(alice))<=>(?[X]:(~brave(X))))&
((?[X]:((~quiet(X)|~funny(X))))<=>(?[X]:((tall(X)|patient(X)))))&
(((generous(susan)&patient(susan)))=>(?[X]:(generous(X))))&
(![X]:((wise(X)|rich(X))=>(~quiet(X)|~kind(X))))&
(![X]:(humble(X)<=>~tall(X)))&
((?[X]:((~wise(X)<... | humble(mary) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6626512991434673452397408
% SZS output start Proof for 6626512991434673452397408
6. ! [X0] : (humble(X0) <=> ~tall(X0)) [input p5]
9. ! [X0] : ((~tall(X0) & wise(X0)) <=> ~humble(X0)) [input p8]
25. ~humble(mary) [input hypothesis]
53. ! [X0] : ((humble(X0) | tall(X0)) & (~tall(X0) | ~hum... | 0 |
If susan is not wise or patient then john is not tall.
Everyone who is calm or brave is not tall or not patient and vice versa.
If mary is either tall or not rich then mary is either not quiet or tall and vice versa.
If lucy is kind then susan is not quiet or generous.
If paul is both not creative and not generous then... | Paul is calm. | neutral | (((~wise(susan)|patient(susan)))=>(~tall(john)))&
(![X]:((calm(X)|brave(X))<=>(~tall(X)|~patient(X))))&
(((tall(mary)<~>~rich(mary)))<=>((~quiet(mary)<~>tall(mary))))&
((kind(lucy))=>((~quiet(susan)|generous(susan))))&
(((~creative(paul)&~generous(paul)))=>((generous(mary)|happy(mary))))&
(((old(susan)<~>funny(susan)))... | calm(paul) | [] | null | 0 |
Everyone who is both not old and rich is both not rich and generous and vice versa.
Everyone who is brave or rich is not tall.
If someone is quiet or kind then fred is wise or quiet and vice versa.
Everyone who is quiet is both creative and strong and vice versa.
Everyone who is both humble and generous is creative and... | Susan is not happy. | neutral | (![X]:((~old(X)&rich(X))<=>(~rich(X)&generous(X))))&
(![X]:((brave(X)|rich(X))=>~tall(X)))&
((?[X]:((quiet(X)|kind(X))))<=>((wise(fred)|quiet(fred))))&
(![X]:(quiet(X)<=>(creative(X)&strong(X))))&
(![X]:((humble(X)&generous(X))<=>creative(X)))&
(((~patient(lucy)&~old(lucy)))=>((kind(lucy)|quiet(lucy))))&
(![X]:((tall(X... | ~happy(susan) | [] | null | 0 |
If someone is not creative or not strong then someone is rich and vice versa. Everyone who is either strong or curious is either wise or not funny and vice versa. If someone is not tall then fred is not humble or creative and vice versa. If someone is not kind then someone is patient or not wise and vice versa. If alic... | Mary is funny. | entailment | ((?[X]:((~creative(X)|~strong(X))))<=>(?[X]:(rich(X))))&
(![X]:((strong(X)<~>curious(X))<=>(wise(X)<~>~funny(X))))&
((?[X]:(~tall(X)))<=>((~humble(fred)|creative(fred))))&
((?[X]:(~kind(X)))<=>(?[X]:((patient(X)|~wise(X)))))&
(((~brave(alice)<~>~old(alice)))<=>((~generous(lucy)&strong(lucy))))&
((?[X]:((~calm(X)&tall(X... | funny(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4063431329221846048154852
% SZS output start Proof for 4063431329221846048154852
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (~calm(X0) & funny(X0))) [input p7]
24. ~funny(mary) [input hypothesis]
54. ! [X0] : ((((strong(X0) | ~strong(X0)) & (~strong(X0) | strong(X0))) | (calm(X0) | ~fu... | 0 |
Everyone who is both not happy and tall is creative or not quiet.
If someone is either not quiet or not strong then someone is not old or rich and vice versa.
Everyone who is not old is not humble.
Everyone who is funny or not strong is both quiet and strong and vice versa.
Everyone who is either not strong or not pati... | Alice is old. | neutral | (![X]:((~happy(X)&tall(X))=>(creative(X)|~quiet(X))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>(?[X]:((~old(X)|rich(X)))))&
(![X]:(~old(X)=>~humble(X)))&
(![X]:((funny(X)|~strong(X))<=>(quiet(X)&strong(X))))&
(![X]:((~strong(X)<~>~patient(X))<=>curious(X)))&
(![X]:((~rich(X)|~generous(X))<=>tall(X)))&
(![X]:(humble(X)<=>~... | old(alice) | [] | null | 0 |
Everyone who is not wise or old is tall or not old and vice versa.
Everyone who is either humble or not funny is both not brave and not wise and vice versa.
If someone is both not tall and not brave then john is not kind or brave and vice versa.
Everyone who is either creative or funny is strong and vice versa.
If some... | Lucy is not funny. | entailment | (![X]:((~wise(X)|old(X))<=>(tall(X)|~old(X))))&
(![X]:((humble(X)<~>~funny(X))<=>(~brave(X)&~wise(X))))&
((?[X]:((~tall(X)&~brave(X))))<=>((~kind(john)|brave(john))))&
(![X]:((creative(X)<~>funny(X))<=>strong(X)))&
((?[X]:((strong(X)&~old(X))))=>(?[X]:((~humble(X)&~strong(X)))))&
(((~rich(fred)&generous(fred)))=>(?[X]:... | ~funny(lucy) | [
"p0",
"p4",
"p8",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8867069603751575590859473
% SZS output start Proof for 8867069603751575590859473
1. ! [X0] : ((old(X0) | ~wise(X0)) <=> (~old(X0) | tall(X0))) [input p0]
5. ? [X0] : (~old(X0) & strong(X0)) => ? [X0] : (~strong(X0) & ~humble(X0)) [input p4]
9. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (tall(X... | 0 |
Everyone who is either curious or generous is both kind and patient.
If fred is not quiet then mary is quiet.
If someone is both rich and not tall then someone is not happy or not calm and vice versa.
Everyone who is happy or quiet is not rich or curious.
If someone is quiet then someone is both not tall and rich and v... | Mary is not tall. | neutral | (![X]:((curious(X)<~>generous(X))=>(kind(X)&patient(X))))&
((~quiet(fred))=>(quiet(mary)))&
((?[X]:((rich(X)&~tall(X))))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:((happy(X)|quiet(X))=>(~rich(X)|curious(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~tall(X)&rich(X)))))&
((?[X]:((rich(X)<~>~happy(X))))=>(?[X]:((rich(X)<~>~humble(X)... | ~tall(mary) | [] | null | 0 |
If mary is not quiet or not brave then fred is creative or strong.
If someone is quiet or not wise then mary is kind and vice versa.
If paul is not humble then someone is old and vice versa.
If paul is not happy then john is not generous.
Everyone who is not quiet or not calm is not tall or patient and vice versa.
Ever... | Paul is not humble. | neutral | (((~quiet(mary)|~brave(mary)))=>((creative(fred)|strong(fred))))&
((?[X]:((quiet(X)|~wise(X))))<=>(kind(mary)))&
((~humble(paul))<=>(?[X]:(old(X))))&
((~happy(paul))=>(~generous(john)))&
(![X]:((~quiet(X)|~calm(X))<=>(~tall(X)|patient(X))))&
(![X]:((strong(X)|~strong(X))=>~creative(X)))&
((?[X]:((~humble(X)|happy(X))))... | ~humble(paul) | [] | null | 0 |
If fred is wise or not rich then someone is both humble and not wise and vice versa.
If fred is not generous then fred is not kind or calm.
If someone is funny or rich then someone is not quiet and vice versa.
Everyone who is funny is happy or not creative.
If someone is not calm then someone is tall and vice versa.
Ev... | John is curious. | contradiction | (((wise(fred)|~rich(fred)))<=>(?[X]:((humble(X)&~wise(X)))))&
((~generous(fred))=>((~kind(fred)|calm(fred))))&
((?[X]:((funny(X)|rich(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(![X]:((~humble(X)|~tall(X))<=>(humble(X)&~happy(X))))&
((?[X]:(funny(X))... | curious(john) | [
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3805397947467698581988739
% SZS output start Proof for 3805397947467698581988739
6. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [input p5]
8. (creative(susan) & ~quiet(susan)) <=> ? [X0] : (~quiet(X0) | happy(X0)) [input p7]
10. ! [X0] : ((~happy(X0) | quiet(X0)) =>... | 0 |
If someone is both creative and not creative then paul is patient and vice versa. Everyone who is not wise or brave is both quiet and not creative and vice versa. If someone is generous or funny then someone is not creative and vice versa. If someone is both kind and not strong then someone is both generous and not ric... | Lucy is humble. | contradiction | ((?[X]:((creative(X)&~creative(X))))<=>(patient(paul)))&
(![X]:((~wise(X)|brave(X))<=>(quiet(X)&~creative(X))))&
((?[X]:((generous(X)|funny(X))))<=>(?[X]:(~creative(X))))&
((?[X]:((kind(X)&~strong(X))))=>(?[X]:((generous(X)&~rich(X)))))&
(((old(alice)|humble(alice)))<=>(~patient(fred)))&
(![X]:((~funny(X)<~>humble(X))<... | humble(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7723939941744399129745597
% SZS output start Proof for 7723939941744399129745597
17. ~humble(lucy) & kind(lucy) [input p16]
25. humble(lucy) [input hypothesis]
145. ~humble(lucy) [cnf transformation 17]
156. humble(lucy) [cnf transformation 25]
316. $false [subsumption resolution 156,145]... | 0 |
Everyone who is both curious and not curious is not calm and vice versa.
Everyone who is both not humble and not funny is both not calm and humble and vice versa.
If lucy is either funny or kind then mary is not kind or not tall and vice versa.
Everyone who is not strong or not tall is either patient or strong and vice... | Fred is not kind. | neutral | (![X]:((curious(X)&~curious(X))<=>~calm(X)))&
(![X]:((~humble(X)&~funny(X))<=>(~calm(X)&humble(X))))&
(((funny(lucy)<~>kind(lucy)))<=>((~kind(mary)|~tall(mary))))&
(![X]:((~strong(X)|~tall(X))<=>(patient(X)<~>strong(X))))&
(![X]:((generous(X)&~generous(X))<=>(~brave(X)&~patient(X))))&
(![X]:(~curious(X)=>(~old(X)|~humb... | ~kind(fred) | [] | null | 0 |
Everyone who is either wise or rich is not quiet or patient and vice versa.
Everyone who is both not generous and not patient is both humble and happy.
Everyone who is not tall or not brave is either not happy or not curious.
If someone is both old and humble then lucy is not creative and vice versa.
If paul is either ... | Mary is not calm. | contradiction | (![X]:((wise(X)<~>rich(X))<=>(~quiet(X)|patient(X))))&
(![X]:((~generous(X)&~patient(X))=>(humble(X)&happy(X))))&
(![X]:((~tall(X)|~brave(X))=>(~happy(X)<~>~curious(X))))&
((?[X]:((old(X)&humble(X))))<=>(~creative(lucy)))&
(((creative(paul)<~>brave(paul)))<=>(~strong(john)))&
(![X]:((~curious(X)&~generous(X))<=>(humble... | ~calm(mary) | [
"p5",
"p8",
"p10",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2763207578516856817790100
% SZS output start Proof for 2763207578516856817790100
6. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> (rich(X0) | humble(X0))) [input p5]
9. ! [X0] : ((rich(X0) | ~kind(X0)) => (generous(X0) & strong(X0))) [input p8]
11. ? [X0] : (funny(X0) | ~quiet(X0)) => (~wi... | 0 |
Everyone who is old or not calm is not brave.
If paul is wise then someone is quiet.
Everyone who is humble or not happy is both not quiet and strong.
Everyone who is either not wise or humble is both not curious and not patient.
If alice is either not kind or tall then john is both not brave and not curious and vice v... | Alice is not curious. | neutral | (![X]:((old(X)|~calm(X))=>~brave(X)))&
((wise(paul))=>(?[X]:(quiet(X))))&
(![X]:((humble(X)|~happy(X))=>(~quiet(X)&strong(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~curious(X)&~patient(X))))&
(((~kind(alice)<~>tall(alice)))<=>((~brave(john)&~curious(john))))&
(((old(susan)&~generous(susan)))=>(~strong(lucy)))&
(![X]:((cre... | ~curious(alice) | [] | null | 0 |
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