premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not quiet and curious is not happy or curious and vice versa. If susan is not creative or generous then fred is not curious or strong. Everyone who is not curious or not brave is either not rich or not humble. Everyone who is either kind or generous is happy or curious. If susan is brave then paul ... | Alice is not wise. | entailment | (![X]:((~quiet(X)&curious(X))<=>(~happy(X)|curious(X))))&
(((~creative(susan)|generous(susan)))=>((~curious(fred)|strong(fred))))&
(![X]:((~curious(X)|~brave(X))=>(~rich(X)<~>~humble(X))))&
(![X]:((kind(X)<~>generous(X))=>(happy(X)|curious(X))))&
((brave(susan))=>(quiet(paul)))&
((?[X]:((~tall(X)&calm(X))))<=>((~humble... | ~wise(alice) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1921905623273578624625477
% SZS output start Proof for 1921905623273578624625477
14. ! [X0] : ((creative(X0) | wise(X0)) => ~calm(X0)) [input p13]
17. ~strong(alice) & calm(alice) [input p16]
25. wise(alice) [input hypothesis]
37. ! [X0] : (~calm(X0) | (~creative(X0) & ~wise(X0))) [ennf t... | 0 |
If lucy is both calm and not kind then someone is not humble or not old and vice versa. If mary is either not brave or not tall then mary is either generous or not calm and vice versa. Everyone who is either not patient or not quiet is either not quiet or quiet and vice versa. If someone is both not brave and creative ... | Susan is humble. | contradiction | (((calm(lucy)&~kind(lucy)))<=>(?[X]:((~humble(X)|~old(X)))))&
(((~brave(mary)<~>~tall(mary)))<=>((generous(mary)<~>~calm(mary))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~quiet(X)<~>quiet(X))))&
((?[X]:((~brave(X)&creative(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~quiet(X)|humble(X))))=>(?[X]:((~rich(X)<~>~creative(X)))))&
((... | humble(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 987996120661746615965806
% SZS output start Proof for 987996120661746615965806
21. ~humble(susan) & ~patient(susan) [input p20]
23. humble(susan) [input hypothesis]
166. ~humble(susan) [cnf transformation 21]
169. humble(susan) [cnf transformation 23]
269. 20 <=> humble(susan) [avatar def... | 0 |
If mary is both humble and tall then paul is either brave or patient.
If alice is both not rich and tall then lucy is either wise or curious.
Everyone who is either happy or patient is tall or strong.
If someone is not humble then someone is curious.
If someone is not patient or strong then lucy is both not wise and no... | Paul is not funny. | contradiction | (((humble(mary)&tall(mary)))=>((brave(paul)<~>patient(paul))))&
(((~rich(alice)&tall(alice)))=>((wise(lucy)<~>curious(lucy))))&
(![X]:((happy(X)<~>patient(X))=>(tall(X)|strong(X))))&
((?[X]:(~humble(X)))=>(?[X]:(curious(X))))&
((?[X]:((~patient(X)|strong(X))))=>((~wise(lucy)&~quiet(lucy))))&
((?[X]:((generous(X)|creati... | ~funny(paul) | [
"p7",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8372989919494580242695143
% SZS output start Proof for 8372989919494580242695143
8. ! [X0] : ((~quiet(X0) | ~curious(X0)) => (strong(X0) & funny(X0))) [input p7]
16. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p15]
20. quiet(paul) [input p19]
23. ~funny(paul) [input hypothesis]
38. ! [X0... | 0 |
If paul is not creative then someone is quiet.
If john is either curious or old then alice is not rich or not kind and vice versa.
If alice is old then someone is either brave or calm.
If lucy is quiet then lucy is not funny and vice versa.
If someone is generous then someone is both not strong and not happy and vice v... | John is not happy. | contradiction | ((~creative(paul))=>(?[X]:(quiet(X))))&
(((curious(john)<~>old(john)))<=>((~rich(alice)|~kind(alice))))&
((old(alice))=>(?[X]:((brave(X)<~>calm(X)))))&
((quiet(lucy))<=>(~funny(lucy)))&
((?[X]:(generous(X)))<=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((~calm(X)<~>~rich(X))<=>(~patient(X)|creative(X))))&
((?[X]:(~creativ... | ~happy(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5112300405559917428100476
% SZS output start Proof for 5112300405559917428100476
9. ! [X0] : ((curious(X0) & ~happy(X0)) <=> ~curious(X0)) [input p8]
24. ~happy(john) [input hypothesis]
54. ! [X0] : (((curious(X0) & ~happy(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) | happy(X0))))... | 0 |
Everyone who is both not patient and quiet is not happy.
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.
If paul is either ... | Susan is not rich. | contradiction | (![X]:((~patient(X)&quiet(X))=>~happy(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)|~humble(... | ~rich(susan) | [
"p1",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5729885588255840244389511
% SZS output start Proof for 5729885588255840244389511
2. ! [X0] : ((kind(X0) | old(X0)) <=> old(X0)) [input p1]
7. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p6]
13. ! [X0] : (old(X0) => (~funny(X0) & ~humble(X0))) [input p12]
15. ! [X0] : (old(X0... | 0 |
Everyone who is humble is not funny and vice versa.
If john is not strong or not creative then lucy is both not curious and funny.
Everyone who is both curious and not tall is both funny and not brave and vice versa.
If fred is both not brave and quiet then someone is not patient or not funny.
If someone is either stro... | Susan is not funny. | entailment | (![X]:(humble(X)<=>~funny(X)))&
(((~strong(john)|~creative(john)))=>((~curious(lucy)&funny(lucy))))&
(![X]:((curious(X)&~tall(X))<=>(funny(X)&~brave(X))))&
(((~brave(fred)&quiet(fred)))=>(?[X]:((~patient(X)|~funny(X)))))&
((?[X]:((strong(X)<~>kind(X))))=>(?[X]:((~old(X)|calm(X)))))&
((?[X]:(old(X)))=>(?[X]:((old(X)|hum... | ~funny(susan) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3031493845388816870154738
% SZS output start Proof for 3031493845388816870154738
1. ! [X0] : (humble(X0) <=> ~funny(X0)) [input p0]
23. humble(susan) [input p22]
25. funny(susan) [input hypothesis]
38. ! [X0] : ((humble(X0) | funny(X0)) & (~funny(X0) | ~humble(X0))) [nnf transformation 1]... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is ... | Paul is generous. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humb... | generous(paul) | [
"p1",
"p4",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5723896018791995091292513
% SZS output start Proof for 5723896018791995091292513
2. ! [X0] : ((~funny(X0) | generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
9. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input ... | 0 |
Everyone who is not brave is old. Everyone who is not calm is both funny and not patient. If someone is not curious or generous then lucy is either curious or kind. Everyone who is either calm or not funny is not kind or not brave and vice versa. Everyone who is humble or not creative is either patient or happy. If joh... | Fred is not kind. | contradiction | (![X]:(~brave(X)=>old(X)))&
(![X]:(~calm(X)=>(funny(X)&~patient(X))))&
((?[X]:((~curious(X)|generous(X))))=>((curious(lucy)<~>kind(lucy))))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happy(X))))&
(((~humble(john)|strong(john)))=>(?[X]:(~happy(X))))&
((?[X]:((~... | ~kind(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1407059552021838201615615
% SZS output start Proof for 1407059552021838201615615
22. calm(fred) & kind(fred) [input p21]
23. ~kind(fred) [input hypothesis]
119. kind(fred) [cnf transformation 22]
121. ~kind(fred) [cnf transformation 23]
228. $false [subsumption resolution 121,119]
% SZS o... | 0 |
Everyone who is either calm or not patient is calm. Everyone who is not tall is quiet or generous and vice versa. If paul is happy then susan is not quiet or brave and vice versa. If someone is curious or calm then someone is both not funny and wise and vice versa. Everyone who is both creative and kind is either patie... | Paul is kind. | entailment | (![X]:((calm(X)<~>~patient(X))=>calm(X)))&
(![X]:(~tall(X)<=>(quiet(X)|generous(X))))&
((happy(paul))<=>((~quiet(susan)|brave(susan))))&
((?[X]:((curious(X)|calm(X))))<=>(?[X]:((~funny(X)&wise(X)))))&
(![X]:((creative(X)&kind(X))<=>(patient(X)<~>wise(X))))&
((?[X]:((tall(X)<~>~humble(X))))=>((patient(lucy)|curious(lucy... | kind(paul) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5005826431207750563598878
% SZS output start Proof for 5005826431207750563598878
13. ! [X0] : (~tall(X0) => (tall(X0) & calm(X0))) [input p12]
15. ! [X0] : (~kind(X0) <=> (~tall(X0) & creative(X0))) [input p14]
25. ~kind(paul) [input hypothesis]
37. ! [X0] : ((tall(X0) & calm(X0)) | tall(... | 0 |
Everyone who is both funny and not kind is not tall or calm.
Everyone who is both not kind and creative is funny or quiet.
Everyone who is not funny is not happy.
Everyone who is wise is either not strong or not rich.
Everyone who is not generous is generous or not humble and vice versa.
If someone is either not calm o... | Alice is not old. | contradiction | (![X]:((funny(X)&~kind(X))=>(~tall(X)|calm(X))))&
(![X]:((~kind(X)&creative(X))=>(funny(X)|quiet(X))))&
(![X]:(~funny(X)=>~happy(X)))&
(![X]:(wise(X)=>(~strong(X)<~>~rich(X))))&
(![X]:(~generous(X)<=>(generous(X)|~humble(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>((~calm(lucy)&~rich(lucy))))&
(((~tall(john)<~>~brave(joh... | ~old(alice) | [
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8026624599933675678704320
% SZS output start Proof for 8026624599933675678704320
5. ! [X0] : (~generous(X0) <=> (~humble(X0) | generous(X0))) [input p4]
10. ! [X0] : ((creative(X0) & ~quiet(X0)) <=> ~old(X0)) [input p9]
13. ! [X0] : ((humble(X0) & calm(X0)) <=> (patient(X0) | ~quiet(X0)))... | 0 |
If alice is rich then mary is either wise or not happy and vice versa. If someone is either wise or patient then mary is both not calm and not generous. If lucy is wise then susan is not creative. Everyone who is not brave is both not kind and generous. If someone is not wise or not kind then someone is both creative a... | Mary is humble. | contradiction | ((rich(alice))<=>((wise(mary)<~>~happy(mary))))&
((?[X]:((wise(X)<~>patient(X))))=>((~calm(mary)&~generous(mary))))&
((wise(lucy))=>(~creative(susan)))&
(![X]:(~brave(X)=>(~kind(X)&generous(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(~wise(X)=>~creative(X)))&
(![X]:((brave(X)&curio... | humble(mary) | [
"p1",
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 183003951092463088123236
% SZS output start Proof for 183003951092463088123236
2. ? [X0] : (wise(X0) <~> patient(X0)) => (~generous(mary) & ~calm(mary)) [input p1]
6. ! [X0] : (~wise(X0) => ~creative(X0)) [input p5]
9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> calm(X0)) [input p8]
12. ! [... | 0 |
Everyone who is humble is not creative.
Everyone who is either not wise or curious is either humble or not kind and vice versa.
Everyone who is either not calm or not wise is funny.
Everyone who is not rich is either rich or patient.
If someone is either patient or not generous then someone is brave or not quiet and vi... | Paul is old. | neutral | (![X]:(humble(X)=>~creative(X)))&
(![X]:((~wise(X)<~>curious(X))<=>(humble(X)<~>~kind(X))))&
(![X]:((~calm(X)<~>~wise(X))=>funny(X)))&
(![X]:(~rich(X)=>(rich(X)<~>patient(X))))&
((?[X]:((patient(X)<~>~generous(X))))<=>(?[X]:((brave(X)|~quiet(X)))))&
((?[X]:((~generous(X)&~humble(X))))=>((~calm(paul)|strong(paul))))&
((... | old(paul) | [] | null | 0 |
If someone is either not quiet or not generous then lucy is both brave and not old and vice versa.
If paul is both wise and not rich then someone is wise and vice versa.
Everyone who is both creative and wise is not quiet.
If susan is humble or not generous then susan is either not kind or patient and vice versa.
Every... | Fred is creative. | entailment | ((?[X]:((~quiet(X)<~>~generous(X))))<=>((brave(lucy)&~old(lucy))))&
(((wise(paul)&~rich(paul)))<=>(?[X]:(wise(X))))&
(![X]:((creative(X)&wise(X))=>~quiet(X)))&
(((humble(susan)|~generous(susan)))<=>((~kind(susan)<~>patient(susan))))&
(![X]:((~quiet(X)&~funny(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((funny(X)|~brave(X))))=... | creative(fred) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 333682179214906672186111
% SZS output start Proof for 333682179214906672186111
7. ! [X0] : ((~creative(X0) | strong(X0)) <=> (~curious(X0) & quiet(X0))) [input p6]
15. ! [X0] : (creative(X0) <=> (quiet(X0) | ~happy(X0))) [input p14]
24. ~creative(fred) [input hypothesis]
52. ! [X0] : (((~... | 0 |
If someone is rich then paul is not happy.
If someone is both humble and quiet then mary is strong or patient and vice versa.
Everyone who is brave or generous is either not funny or not generous and vice versa.
Everyone who is either not creative or curious is both not rich and happy.
If someone is either creative or ... | Susan is not funny. | entailment | ((?[X]:(rich(X)))=>(~happy(paul)))&
((?[X]:((humble(X)&quiet(X))))<=>((strong(mary)|patient(mary))))&
(![X]:((brave(X)|generous(X))<=>(~funny(X)<~>~generous(X))))&
(![X]:((~creative(X)<~>curious(X))=>(~rich(X)&happy(X))))&
((?[X]:((creative(X)<~>brave(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
(![X]:((~wise(X)&old(X))=>(~... | ~funny(susan) | [
"p2",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3685933835998709337978456
% SZS output start Proof for 3685933835998709337978456
3. ! [X0] : ((generous(X0) | brave(X0)) <=> (~funny(X0) <~> ~generous(X0))) [input p2]
4. ! [X0] : ((~creative(X0) <~> curious(X0)) => (happy(X0) & ~rich(X0))) [input p3]
7. ! [X0] : ((~calm(X0) & generous(X0... | 0 |
Everyone who is calm is both not generous and not curious. Everyone who is either not old or creative is both not curious and not wise. Everyone who is quiet or rich is both not strong and not creative and vice versa. Everyone who is either not tall or old is either kind or patient. If susan is both calm and tall then ... | Fred is not kind. | contradiction | (![X]:(calm(X)=>(~generous(X)&~curious(X))))&
(![X]:((~old(X)<~>creative(X))=>(~curious(X)&~wise(X))))&
(![X]:((quiet(X)|rich(X))<=>(~strong(X)&~creative(X))))&
(![X]:((~tall(X)<~>old(X))=>(kind(X)<~>patient(X))))&
(((calm(susan)&tall(susan)))=>((~patient(paul)&~generous(paul))))&
(![X]:((happy(X)&~old(X))=>(creative(X... | ~kind(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2379626546978437303625434
% SZS output start Proof for 2379626546978437303625434
21. wise(fred) & kind(fred) [input p20]
24. ~kind(fred) [input hypothesis]
137. kind(fred) [cnf transformation 21]
142. ~kind(fred) [cnf transformation 24]
185. 10 <=> kind(fred) [avatar definition]
301. 10 [... | 0 |
Everyone who is either not happy or not creative is calm or funny and vice versa.
If someone is not kind or not wise then mary is both not patient and rich and vice versa.
Everyone who is not curious or calm is both not humble and kind and vice versa.
If john is humble then alice is either not rich or not quiet.
If joh... | Lucy is tall. | neutral | (![X]:((~happy(X)<~>~creative(X))<=>(calm(X)|funny(X))))&
((?[X]:((~kind(X)|~wise(X))))<=>((~patient(mary)&rich(mary))))&
(![X]:((~curious(X)|calm(X))<=>(~humble(X)&kind(X))))&
((humble(john))=>((~rich(alice)<~>~quiet(alice))))&
(((creative(john)&funny(john)))<=>((~quiet(susan)<~>brave(susan))))&
((kind(mary))<=>((crea... | tall(lucy) | [] | null | 0 |
Everyone who is not strong or quiet is rich or strong and vice versa.
If fred is brave or generous then susan is either kind or rich.
Everyone who is old or tall is kind and vice versa.
Everyone who is both wise and not humble is kind and vice versa.
If john is funny or not curious then someone is both not calm and not... | Lucy is not brave. | entailment | (![X]:((~strong(X)|quiet(X))<=>(rich(X)|strong(X))))&
(((brave(fred)|generous(fred)))=>((kind(susan)<~>rich(susan))))&
(![X]:((old(X)|tall(X))<=>kind(X)))&
(![X]:((wise(X)&~humble(X))<=>kind(X)))&
(((funny(john)|~curious(john)))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(creative(X)<~>tall(X))... | ~brave(lucy) | [
"p5",
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1441718460791206254294430
% SZS output start Proof for 1441718460791206254294430
6. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (creative(X0) <~> tall(X0))) [input p5]
7. ! [X0] : ((~happy(X0) & kind(X0)) <=> (happy(X0) | generous(X0))) [input p6]
8. (~creative(lucy) <~> ~happy(lucy)) <=> ?... | 0 |
Everyone who is either patient or not rich is not calm or not rich and vice versa.
Everyone who is not kind is either not calm or rich and vice versa.
Everyone who is either kind or not quiet is funny or rich.
Everyone who is not strong is both not creative and not patient and vice versa.
Everyone who is not kind or no... | John is not quiet. | contradiction | (![X]:((patient(X)<~>~rich(X))<=>(~calm(X)|~rich(X))))&
(![X]:(~kind(X)<=>(~calm(X)<~>rich(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(funny(X)|rich(X))))&
(![X]:(~strong(X)<=>(~creative(X)&~patient(X))))&
(![X]:((~kind(X)|~humble(X))<=>(~curious(X)|~quiet(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((funny(X)|~generous(X)))))&
(!... | ~quiet(john) | [
"p0",
"p4",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7910050063170641660668558
% SZS output start Proof for 7910050063170641660668558
1. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> (~rich(X0) | ~calm(X0))) [input p0]
5. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> (~quiet(X0) | ~curious(X0))) [input p4]
8. ? [X0] : (~kind(X0) | ~calm(X0)) <=> (wis... | 0 |
Everyone who is not patient or quiet is both happy and not tall. If john is either humble or not calm then someone is brave and vice versa. Everyone who is either not kind or not strong is not patient or curious. Everyone who is quiet is either strong or not strong and vice versa. Everyone who is either not quiet or no... | Lucy is not tall. | entailment | (![X]:((~patient(X)|quiet(X))=>(happy(X)&~tall(X))))&
(((humble(john)<~>~calm(john)))<=>(?[X]:(brave(X))))&
(![X]:((~kind(X)<~>~strong(X))=>(~patient(X)|curious(X))))&
(![X]:(quiet(X)<=>(strong(X)<~>~strong(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~rich(X)|generous(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:((h... | ~tall(lucy) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6445372422946780994749762
% SZS output start Proof for 6445372422946780994749762
1. ! [X0] : ((quiet(X0) | ~patient(X0)) => (~tall(X0) & happy(X0))) [input p0]
4. ! [X0] : (quiet(X0) <=> (strong(X0) <~> ~strong(X0))) [input p3]
23. tall(lucy) [input hypothesis]
27. ! [X0] : ((~tall(X0) & ... | 0 |
If paul is either not old or creative then someone is not curious and vice versa.
Everyone who is not brave is both creative and brave.
Everyone who is tall is not brave.
Everyone who is either not strong or rich is both generous and quiet.
If paul is old then susan is both funny and curious.
Everyone who is brave or f... | Paul is not wise. | entailment | (((~old(paul)<~>creative(paul)))<=>(?[X]:(~curious(X))))&
(![X]:(~brave(X)=>(creative(X)&brave(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((~strong(X)<~>rich(X))=>(generous(X)&quiet(X))))&
((old(paul))=>((funny(susan)&curious(susan))))&
(![X]:((brave(X)|funny(X))<=>(~old(X)<~>~brave(X))))&
((?[X]:((~curious(X)|quiet(X))... | ~wise(paul) | [
"p1",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3664110446719918146488470
% SZS output start Proof for 3664110446719918146488470
2. ! [X0] : (~brave(X0) => (brave(X0) & creative(X0))) [input p1]
6. ! [X0] : ((funny(X0) | brave(X0)) <=> (~old(X0) <~> ~brave(X0))) [input p5]
9. ! [X0] : (~old(X0) <=> (~funny(X0) & ~wise(X0))) [input p8]
... | 0 |
Everyone who is calm is either not tall or not funny and vice versa.
Everyone who is either calm or generous is not funny or not calm and vice versa.
Everyone who is either not generous or tall is either funny or not creative and vice versa.
If susan is either creative or curious then someone is both not patient and qu... | Paul is not curious. | neutral | (![X]:(calm(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))<=>(funny(X)<~>~creative(X))))&
(((creative(susan)<~>curious(susan)))=>(?[X]:((~patient(X)&quiet(X)))))&
(((creative(fred)|~curious(fred)))<=>(?[X]:((happy(X)|~old(X)))))&
((?[X]:((rich(X)<... | ~curious(paul) | [] | null | 0 |
If someone is not calm then mary is both kind and not brave.
If someone is either not generous or not brave then paul is old and vice versa.
If someone is curious then someone is both strong and not tall.
Everyone who is both not wise and not calm is creative and vice versa.
Everyone who is creative is either not kind ... | Paul is calm. | contradiction | ((?[X]:(~calm(X)))=>((kind(mary)&~brave(mary))))&
((?[X]:((~generous(X)<~>~brave(X))))<=>(old(paul)))&
((?[X]:(curious(X)))=>(?[X]:((strong(X)&~tall(X)))))&
(![X]:((~wise(X)&~calm(X))<=>creative(X)))&
(![X]:(creative(X)<=>(~kind(X)<~>~rich(X))))&
(((brave(paul)|old(paul)))<=>((rich(mary)<~>~funny(mary))))&
(![X]:((rich... | calm(paul) | [
"p3",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 205414459363335709670106
% SZS output start Proof for 205414459363335709670106
4. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> creative(X0)) [input p3]
5. ! [X0] : (creative(X0) <=> (~kind(X0) <~> ~rich(X0))) [input p4]
20. kind(paul) & ~rich(paul) [input p19]
23. calm(paul) [input hypothesis]
4... | 0 |
If someone is kind then someone is humble or old.
If someone is both tall and not generous then lucy is not strong and vice versa.
Everyone who is creative or not calm is generous or not brave.
Everyone who is both not generous and not brave is brave.
Everyone who is both not happy and generous is either funny or not k... | Fred is tall. | neutral | ((?[X]:(kind(X)))=>(?[X]:((humble(X)|old(X)))))&
((?[X]:((tall(X)&~generous(X))))<=>(~strong(lucy)))&
(![X]:((creative(X)|~calm(X))=>(generous(X)|~brave(X))))&
(![X]:((~generous(X)&~brave(X))=>brave(X)))&
(![X]:((~happy(X)&generous(X))=>(funny(X)<~>~kind(X))))&
((?[X]:((~wise(X)<~>~creative(X))))=>(?[X]:((humble(X)<~>q... | tall(fred) | [] | null | 0 |
Everyone who is both patient and not old is either calm or not brave and vice versa.
Everyone who is not tall is both wise and calm and vice versa.
Everyone who is both calm and patient is both not strong and funny.
Everyone who is either not patient or generous is both not quiet and calm and vice versa.
Everyone who i... | Susan is patient. | entailment | (![X]:((patient(X)&~old(X))<=>(calm(X)<~>~brave(X))))&
(![X]:(~tall(X)<=>(wise(X)&calm(X))))&
(![X]:((calm(X)&patient(X))=>(~strong(X)&funny(X))))&
(![X]:((~patient(X)<~>generous(X))<=>(~quiet(X)&calm(X))))&
(![X]:((quiet(X)|~generous(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((brave(X)<~>curious(X))=>kind(X)))&
(![X]:((~... | patient(susan) | [
"p0",
"p1",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3140483626861571421280174
% SZS output start Proof for 3140483626861571421280174
1. ! [X0] : ((~old(X0) & patient(X0)) <=> (calm(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : (~tall(X0) <=> (calm(X0) & wise(X0))) [input p1]
12. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> (patient(X0) <~> tall(... | 0 |
Everyone who is not humble or happy is old. Everyone who is both kind and not kind is not brave or curious. Everyone who is quiet is not wise and vice versa. Everyone who is not generous or not old is not quiet and vice versa. If lucy is not curious then someone is not rich or not patient and vice versa. If someone is ... | Fred is not happy. | neutral | (![X]:((~humble(X)|happy(X))=>old(X)))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)|curious(X))))&
(![X]:(quiet(X)<=>~wise(X)))&
(![X]:((~generous(X)|~old(X))<=>~quiet(X)))&
((~curious(lucy))<=>(?[X]:((~rich(X)|~patient(X)))))&
((?[X]:((funny(X)<~>~quiet(X))))<=>(?[X]:((~rich(X)&~creative(X)))))&
(![X]:((curious(X)&~brave(X)... | ~happy(fred) | [] | null | 0 |
If john is either tall or generous then someone is not strong and vice versa. Everyone who is humble is curious. If alice is both not tall and old then lucy is both not old and happy. If someone is either not happy or not strong then someone is either rich or not brave and vice versa. Everyone who is both not funny and... | Lucy is not funny. | neutral | (((tall(john)<~>generous(john)))<=>(?[X]:(~strong(X))))&
(![X]:(humble(X)=>curious(X)))&
(((~tall(alice)&old(alice)))=>((~old(lucy)&happy(lucy))))&
((?[X]:((~happy(X)<~>~strong(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(brave(X)&~kind(X))))&
(![X]:(funny(X)=>(wise(X)|humble(X))))&
(((~cal... | ~funny(lucy) | [] | null | 0 |
If fred is either tall or rich then someone is old.
Everyone who is either not brave or curious is both brave and not patient.
If someone is either not funny or calm then john is funny or humble and vice versa.
Everyone who is kind or not brave is old or wise and vice versa.
Everyone who is not patient or not old is ge... | Fred is not wise. | entailment | (((tall(fred)<~>rich(fred)))=>(?[X]:(old(X))))&
(![X]:((~brave(X)<~>curious(X))=>(brave(X)&~patient(X))))&
((?[X]:((~funny(X)<~>calm(X))))<=>((funny(john)|humble(john))))&
(![X]:((kind(X)|~brave(X))<=>(old(X)|wise(X))))&
(![X]:((~patient(X)|~old(X))=>generous(X)))&
(![X]:((~strong(X)&~curious(X))<=>quiet(X)))&
((humble... | ~wise(fred) | [
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5898394062541562956605445
% SZS output start Proof for 5898394062541562956605445
14. ? [X0] : (quiet(X0) | funny(X0)) => ? [X0] : (~calm(X0) & ~generous(X0)) [input p13]
16. ? [X0] : (calm(X0) <~> ~generous(X0)) <=> (~wise(fred) & ~calm(fred)) [input p15]
18. ? [X0] : quiet(X0) [input p17... | 0 |
Everyone who is both not creative and quiet is not calm or not brave and vice versa.
If lucy is both quiet and kind then someone is both not curious and not wise and vice versa.
Everyone who is both brave and rich is not patient.
If someone is both kind and curious then alice is both not kind and creative.
If someone i... | Paul is not patient. | neutral | (![X]:((~creative(X)&quiet(X))<=>(~calm(X)|~brave(X))))&
(((quiet(lucy)&kind(lucy)))<=>(?[X]:((~curious(X)&~wise(X)))))&
(![X]:((brave(X)&rich(X))=>~patient(X)))&
((?[X]:((kind(X)&curious(X))))=>((~kind(alice)&creative(alice))))&
((?[X]:((brave(X)&rich(X))))<=>(~rich(fred)))&
(![X]:((rich(X)&funny(X))<=>(~creative(X)|~... | ~patient(paul) | [] | null | 0 |
Everyone who is both not funny and funny is both not patient and patient and vice versa.
Everyone who is either quiet or not old is either not tall or rich.
Everyone who is not quiet or generous is kind or not old and vice versa.
Everyone who is both generous and not creative is rich or not funny and vice versa.
If mar... | Lucy is humble. | entailment | (![X]:((~funny(X)&funny(X))<=>(~patient(X)&patient(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~tall(X)<~>rich(X))))&
(![X]:((~quiet(X)|generous(X))<=>(kind(X)|~old(X))))&
(![X]:((generous(X)&~creative(X))<=>(rich(X)|~funny(X))))&
(((creative(mary)&~patient(mary)))<=>(?[X]:((~generous(X)<~>patient(X)))))&
(![X]:((rich(X)&~hum... | humble(lucy) | [
"p3",
"p4",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2019769517159332306822741
% SZS output start Proof for 2019769517159332306822741
4. ! [X0] : ((~creative(X0) & generous(X0)) <=> (~funny(X0) | rich(X0))) [input p3]
5. (~patient(mary) & creative(mary)) <=> ? [X0] : (~generous(X0) <~> patient(X0)) [input p4]
11. ! [X0] : ((~patient(X0) | ~... | 0 |
If paul is not generous then lucy is not happy or rich.
Everyone who is not quiet or rich is patient.
Everyone who is both not old and happy is both not wise and patient and vice versa.
If john is either not happy or creative then someone is not brave or not tall.
Everyone who is either not funny or not creative is eit... | John is rich. | contradiction | ((~generous(paul))=>((~happy(lucy)|rich(lucy))))&
(![X]:((~quiet(X)|rich(X))=>patient(X)))&
(![X]:((~old(X)&happy(X))<=>(~wise(X)&patient(X))))&
(((~happy(john)<~>creative(john)))=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((rich(X)|wise(X))))<=>(?[X]:((~brave(X... | rich(john) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5555866801260635619370765
% SZS output start Proof for 5555866801260635619370765
2. ! [X0] : ((rich(X0) | ~quiet(X0)) => patient(X0)) [input p1]
6. ? [X0] : (wise(X0) | rich(X0)) <=> ? [X0] : (~brave(X0) <~> ~wise(X0)) [input p5]
8. (kind(mary) & humble(mary)) <=> ? [X0] : quiet(X0) [inpu... | 0 |
Everyone who is either funny or not brave is either curious or wise.
If mary is not quiet or not strong then mary is kind and vice versa.
Everyone who is not happy or not wise is both quiet and not wise.
If someone is happy or not strong then someone is brave and vice versa.
Everyone who is either not tall or kind is p... | Alice is not quiet. | contradiction | (![X]:((funny(X)<~>~brave(X))=>(curious(X)<~>wise(X))))&
(((~quiet(mary)|~strong(mary)))<=>(kind(mary)))&
(![X]:((~happy(X)|~wise(X))=>(quiet(X)&~wise(X))))&
((?[X]:((happy(X)|~strong(X))))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)<~>kind(X))<=>(patient(X)|~curious(X))))&
((?[X]:((~creative(X)&~funny(X))))<=>((calm(mary)&... | ~quiet(alice) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6054400905041804774934193
% SZS output start Proof for 6054400905041804774934193
1. ! [X0] : ((funny(X0) <~> ~brave(X0)) => (curious(X0) <~> wise(X0))) [input p0]
3. ! [X0] : ((~wise(X0) | ~happy(X0)) => (~wise(X0) & quiet(X0))) [input p2]
7. ! [X0] : ((~rich(X0) & creative(X0)) <=> (~bra... | 0 |
Everyone who is tall is not happy or not creative and vice versa.
Everyone who is not creative or humble is humble and vice versa.
Everyone who is both curious and not calm is either not happy or happy and vice versa.
If someone is brave or patient then lucy is not calm and vice versa.
If paul is either funny or tall t... | Paul is funny. | contradiction | (![X]:(tall(X)<=>(~happy(X)|~creative(X))))&
(![X]:((~creative(X)|humble(X))<=>humble(X)))&
(![X]:((curious(X)&~calm(X))<=>(~happy(X)<~>happy(X))))&
((?[X]:((brave(X)|patient(X))))<=>(~calm(lucy)))&
(((funny(paul)<~>tall(paul)))<=>(?[X]:((calm(X)<~>~happy(X)))))&
(![X]:((strong(X)&generous(X))=>(curious(X)&~wise(X))))&... | funny(paul) | [
"p0",
"p2",
"p4",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7003184936480183545280769
% SZS output start Proof for 7003184936480183545280769
1. ! [X0] : (tall(X0) <=> (~creative(X0) | ~happy(X0))) [input p0]
3. ! [X0] : ((~calm(X0) & curious(X0)) <=> (~happy(X0) <~> happy(X0))) [input p2]
5. (funny(paul) <~> tall(paul)) <=> ? [X0] : (calm(X0) <~> ... | 0 |
Everyone who is not tall or not calm is not quiet or humble.
Everyone who is not strong or kind is both calm and not kind and vice versa.
Everyone who is both not calm and calm is either not quiet or not creative and vice versa.
If mary is both not strong and not funny then lucy is either wise or rich and vice versa.
I... | Mary is tall. | entailment | (![X]:((~tall(X)|~calm(X))=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|kind(X))<=>(calm(X)&~kind(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)<~>~creative(X))))&
(((~strong(mary)&~funny(mary)))<=>((wise(lucy)<~>rich(lucy))))&
(((calm(mary)&~brave(mary)))<=>((~quiet(paul)<~>patient(paul))))&
(((~humble(fred)&calm(fred)... | tall(mary) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2784387855886113909981611
% SZS output start Proof for 2784387855886113909981611
1. ! [X0] : ((~calm(X0) | ~tall(X0)) => (humble(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
3. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~quiet(X0) <... | 0 |
Everyone who is both curious and not old is both not humble and humble.
Everyone who is either not creative or wise is not funny and vice versa.
If john is not patient or not kind then someone is not rich or creative and vice versa.
If someone is wise then lucy is humble and vice versa.
Everyone who is curious or not f... | Paul is not calm. | contradiction | (![X]:((curious(X)&~old(X))=>(~humble(X)&humble(X))))&
(![X]:((~creative(X)<~>wise(X))<=>~funny(X)))&
(((~patient(john)|~kind(john)))<=>(?[X]:((~rich(X)|creative(X)))))&
((?[X]:(wise(X)))<=>(humble(lucy)))&
(![X]:((curious(X)|~funny(X))<=>(tall(X)<~>generous(X))))&
(![X]:(~funny(X)=>(wise(X)|strong(X))))&
((calm(paul))... | ~calm(paul) | [
"p6",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2326372020458972344467035
% SZS output start Proof for 2326372020458972344467035
7. calm(paul) <=> ? [X0] : ~humble(X0) [input p6]
13. ! [X0] : (~calm(X0) <=> ~humble(X0)) [input p12]
19. ~calm(john) & ~old(john) [input p18]
25. ~calm(paul) [input hypothesis]
46. (calm(paul) | ! [X0] : hu... | 0 |
Everyone who is old is happy or not kind and vice versa.
If someone is not calm or tall then someone is either not humble or not strong and vice versa.
Everyone who is not kind is both wise and not strong.
Everyone who is either old or not curious is either not strong or generous and vice versa.
If someone is either no... | Fred is quiet. | contradiction | (![X]:(old(X)<=>(happy(X)|~kind(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(wise(X)&~strong(X))))&
(![X]:((old(X)<~>~curious(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>(?[X]:((~brave(X)<~>brave(X)))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>((~... | quiet(fred) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4786243430478816465163321
% SZS output start Proof for 4786243430478816465163321
1. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p0]
3. ! [X0] : (~kind(X0) => (~strong(X0) & wise(X0))) [input p2]
4. ! [X0] : ((old(X0) <~> ~curious(X0)) <=> (~strong(X0) <~> generous(X0))) [input p... | 0 |
If john is not strong then mary is curious.
If alice is either not calm or not humble then john is creative or not rich and vice versa.
Everyone who is not funny is either wise or not generous.
Everyone who is both wise and not funny is either not strong or not quiet and vice versa.
If paul is either wise or calm then ... | Lucy is kind. | contradiction | ((~strong(john))=>(curious(mary)))&
(((~calm(alice)<~>~humble(alice)))<=>((creative(john)|~rich(john))))&
(![X]:(~funny(X)=>(wise(X)<~>~generous(X))))&
(![X]:((wise(X)&~funny(X))<=>(~strong(X)<~>~quiet(X))))&
(((wise(paul)<~>calm(paul)))=>((rich(susan)|patient(susan))))&
(![X]:(happy(X)=>(~generous(X)|wise(X))))&
(((ta... | kind(lucy) | [
"p2",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8207652876428452106608053
% SZS output start Proof for 8207652876428452106608053
3. ! [X0] : (~funny(X0) => (wise(X0) <~> ~generous(X0))) [input p2]
14. ! [X0] : (kind(X0) <=> (~wise(X0) & generous(X0))) [input p13]
20. ~funny(lucy) [input p19]
25. kind(lucy) [input hypothesis]
28. ! [X0]... | 0 |
Everyone who is either patient or kind is both strong and funny. If someone is kind or old then someone is either quiet or tall and vice versa. If someone is not strong or generous then alice is strong and vice versa. Everyone who is both curious and not creative is not brave or not tall and vice versa. If someone is n... | Alice is strong. | entailment | (![X]:((patient(X)<~>kind(X))=>(strong(X)&funny(X))))&
((?[X]:((kind(X)|old(X))))<=>(?[X]:((quiet(X)<~>tall(X)))))&
((?[X]:((~strong(X)|generous(X))))<=>(strong(alice)))&
(![X]:((curious(X)&~creative(X))<=>(~brave(X)|~tall(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~humble(X)&tall(X)))))&
((?[X]:((tall(X)&happy(X))))=>((~qu... | strong(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5652247478587977129919817
% SZS output start Proof for 5652247478587977129919817
3. ? [X0] : (generous(X0) | ~strong(X0)) <=> strong(alice) [input p2]
25. ~strong(alice) [input hypothesis]
51. (? [X0] : (generous(X0) | ~strong(X0)) | ~strong(alice)) & (strong(alice) | ! [X0] : (~generous(... | 0 |
If alice is not rich or tall then someone is not brave and vice versa. Everyone who is either not old or not rich is both brave and not rich and vice versa. Everyone who is both curious and not kind is both not calm and not happy and vice versa. Everyone who is rich or curious is not tall or wise and vice versa. If som... | John is not old. | neutral | (((~rich(alice)|tall(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(brave(X)&~rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(~calm(X)&~happy(X))))&
(![X]:((rich(X)|curious(X))<=>(~tall(X)|wise(X))))&
((?[X]:((happy(X)|tall(X))))<=>(rich(alice)))&
((?[X]:((calm(X)&old(X))))=>(?[X]:(patient(X))))&
(((wise(ma... | ~old(john) | [] | null | 0 |
If john is either wise or brave then john is not calm.
Everyone who is patient is generous or rich and vice versa.
Everyone who is both not rich and rich is not tall and vice versa.
Everyone who is kind is either humble or not rich and vice versa.
If someone is tall then paul is both not curious and not strong.
Everyon... | Alice is wise. | contradiction | (((wise(john)<~>brave(john)))=>(~calm(john)))&
(![X]:(patient(X)<=>(generous(X)|rich(X))))&
(![X]:((~rich(X)&rich(X))<=>~tall(X)))&
(![X]:(kind(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(tall(X)))=>((~curious(paul)&~strong(paul))))&
(![X]:(brave(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~brave(X)&kind(X))<=>patient(X)))&
(![... | wise(alice) | [
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7295895549512568254839645
% SZS output start Proof for 7295895549512568254839645
6. ! [X0] : (brave(X0) => (~brave(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((kind(X0) & ~brave(X0)) <=> patient(X0)) [input p6]
11. ! [X0] : ((~generous(X0) | wise(X0)) => (~patient(X0) & ~rich(X0))) [inp... | 0 |
If john is both not humble and humble then mary is both brave and not kind.
If lucy is generous or curious then lucy is not tall.
Everyone who is both generous and not wise is tall.
If fred is humble or not patient then lucy is old and vice versa.
Everyone who is either not rich or not patient is either patient or not ... | Lucy is old. | entailment | (((~humble(john)&humble(john)))=>((brave(mary)&~kind(mary))))&
(((generous(lucy)|curious(lucy)))=>(~tall(lucy)))&
(![X]:((generous(X)&~wise(X))=>tall(X)))&
(((humble(fred)|~patient(fred)))<=>(old(lucy)))&
(![X]:((~rich(X)<~>~patient(X))<=>(patient(X)<~>~humble(X))))&
(((old(mary)<~>patient(mary)))=>(?[X]:((patient(X)|c... | old(lucy) | [
"p3",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 348883441710854993454708
% SZS output start Proof for 348883441710854993454708
4. (~patient(fred) | humble(fred)) <=> old(lucy) [input p3]
5. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (patient(X0) <~> ~humble(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) <~> ~rich(X0)) => ~rich(X0)) [input p... | 0 |
Everyone who is not strong is both not happy and not wise and vice versa.
Everyone who is either not kind or creative is either not curious or rich and vice versa.
Everyone who is not calm or wise is kind and vice versa.
Everyone who is both generous and not rich is generous and vice versa.
Everyone who is either rich ... | Fred is not calm. | entailment | (![X]:(~strong(X)<=>(~happy(X)&~wise(X))))&
(![X]:((~kind(X)<~>creative(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((~calm(X)|wise(X))<=>kind(X)))&
(![X]:((generous(X)&~rich(X))<=>generous(X)))&
(![X]:((rich(X)<~>~rich(X))=>(tall(X)&~wise(X))))&
((?[X]:((~tall(X)|brave(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
((?[X]:((ri... | ~calm(fred) | [
"p0",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6092153013391364059970672
% SZS output start Proof for 6092153013391364059970672
1. ! [X0] : (~strong(X0) <=> (~wise(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~wise(X0) & tall(X0))) [input p4]
7. ? [X0] : (happy(X0) | rich(X0)) <=> (~tall(mary) & ~funny(mary)... | 0 |
Everyone who is not tall or happy is both not generous and quiet and vice versa.
If susan is both humble and not funny then alice is not wise.
If someone is brave then someone is both not old and not tall.
If fred is both not curious and not kind then someone is not humble.
If john is not humble then someone is rich an... | Susan is tall. | neutral | (![X]:((~tall(X)|happy(X))<=>(~generous(X)&quiet(X))))&
(((humble(susan)&~funny(susan)))=>(~wise(alice)))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&~tall(X)))))&
(((~curious(fred)&~kind(fred)))=>(?[X]:(~humble(X))))&
((~humble(john))<=>(?[X]:(rich(X))))&
(![X]:((strong(X)|~rich(X))=>(~wise(X)<~>~old(X))))&
(![X]:(~creative(... | tall(susan) | [] | null | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Mary is not curious. | entailment | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | ~curious(mary) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 444362802842560387424266
% SZS output start Proof for 444362802842560387424266
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
2. ? [X0] : tall(X0) <=> ~rich(lucy) [input p1]
5. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~curious(lucy)) [in... | 0 |
If john is not calm then someone is both wise and kind.
If fred is both creative and not humble then mary is patient and vice versa.
Everyone who is not calm is both not strong and funny and vice versa.
Everyone who is wise or not happy is not funny.
Everyone who is not quiet is either funny or kind and vice versa.
If ... | Susan is humble. | entailment | ((~calm(john))=>(?[X]:((wise(X)&kind(X)))))&
(((creative(fred)&~humble(fred)))<=>(patient(mary)))&
(![X]:(~calm(X)<=>(~strong(X)&funny(X))))&
(![X]:((wise(X)|~happy(X))=>~funny(X)))&
(![X]:(~quiet(X)<=>(funny(X)<~>kind(X))))&
((?[X]:((generous(X)|brave(X))))<=>((kind(susan)|~curious(susan))))&
(((brave(susan)|~humble(s... | humble(susan) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9083728707744541953933315
% SZS output start Proof for 9083728707744541953933315
4. ! [X0] : ((~happy(X0) | wise(X0)) => ~funny(X0)) [input p3]
5. ! [X0] : (~quiet(X0) <=> (funny(X0) <~> kind(X0))) [input p4]
6. ? [X0] : (brave(X0) | generous(X0)) <=> (~curious(susan) | kind(susan)) [inpu... | 0 |
If someone is either not kind or not humble then fred is both humble and not curious and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creat... | Susan is strong. | entailment | ((?[X]:((~kind(X)<~>~humble(X))))<=>((humble(fred)&~curious(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~c... | strong(susan) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5752072630229517459365117
% SZS output start Proof for 5752072630229517459365117
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~... | 0 |
If someone is either quiet or happy then mary is either strong or not brave. Everyone who is either strong or not happy is creative or kind and vice versa. Everyone who is not generous or not wise is either funny or not humble. Everyone who is happy is curious. Everyone who is either not rich or not tall is happy or no... | Alice is kind. | entailment | ((?[X]:((quiet(X)<~>happy(X))))=>((strong(mary)<~>~brave(mary))))&
(![X]:((strong(X)<~>~happy(X))<=>(creative(X)|kind(X))))&
(![X]:((~generous(X)|~wise(X))=>(funny(X)<~>~humble(X))))&
(![X]:(happy(X)=>curious(X)))&
(![X]:((~rich(X)<~>~tall(X))<=>(happy(X)|~creative(X))))&
(((tall(susan)&~funny(susan)))=>(?[X]:(~generou... | kind(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1989193926942779102578442
% SZS output start Proof for 1989193926942779102578442
21. kind(alice) & ~strong(alice) [input p20]
24. ~kind(alice) [input hypothesis]
133. kind(alice) [cnf transformation 21]
137. ~kind(alice) [cnf transformation 24]
284. $false [subsumption resolution 137,133]... | 0 |
If someone is not kind then someone is wise and vice versa.
If someone is not quiet then someone is strong and vice versa.
Everyone who is not rich is happy and vice versa.
If someone is either not strong or not tall then someone is not brave or quiet.
Everyone who is not kind or rich is both calm and not rich.
Everyon... | Mary is brave. | contradiction | ((?[X]:(~kind(X)))<=>(?[X]:(wise(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(strong(X))))&
(![X]:(~rich(X)<=>happy(X)))&
((?[X]:((~strong(X)<~>~tall(X))))=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((~kind(X)|rich(X))=>(calm(X)&~rich(X))))&
(![X]:((strong(X)&creative(X))<=>(happy(X)&~calm(X))))&
(![X]:(old(X)=>~quiet(X)))&
(![X]:(... | brave(mary) | [
"p4",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8167856903802598313921817
% SZS output start Proof for 8167856903802598313921817
5. ! [X0] : ((rich(X0) | ~kind(X0)) => (~rich(X0) & calm(X0))) [input p4]
8. ! [X0] : ((~patient(X0) | ~calm(X0)) <=> (creative(X0) & ~old(X0))) [input p7]
12. ! [X0] : ((calm(X0) <~> ~brave(X0)) => (happy(X0... | 0 |
If someone is not humble or brave then fred is not humble.
If someone is both not creative and not kind then someone is quiet.
If someone is old or generous then someone is both not creative and generous and vice versa.
Everyone who is either not humble or not kind is both tall and not old.
Everyone who is not calm or ... | John is quiet. | contradiction | ((?[X]:((~humble(X)|brave(X))))=>(~humble(fred)))&
((?[X]:((~creative(X)&~kind(X))))=>(?[X]:(quiet(X))))&
((?[X]:((old(X)|generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(![X]:((~humble(X)<~>~kind(X))=>(tall(X)&~old(X))))&
(![X]:((~calm(X)|~creative(X))<=>(calm(X)<~>kind(X))))&
(((funny(mary)|quiet(mary)))=>(?[X... | quiet(john) | [
"p7",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 440032881322043972899075
% SZS output start Proof for 440032881322043972899075
8. ! [X0] : ((~strong(X0) | calm(X0)) <=> (quiet(X0) | funny(X0))) [input p7]
22. ~calm(john) [input p21]
23. strong(john) [input p22]
24. quiet(john) [input hypothesis]
59. ! [X0] : (((~strong(X0) | calm(X0)) ... | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is rich or brave is not happy and vice versa.
Everyone who is both not quiet and not old is calm and vice ve... | Alice is not tall. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((rich(X)|brave(X))<=>~happy(X)))&
(![X]:((~quiet(X)&~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(p... | ~tall(alice) | [
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3042704720373239186288142
% SZS output start Proof for 3042704720373239186288142
5. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> calm(X0)) [input p4]
8. ? [X0] : (kind(X0) | wise(X0)) <=> ? [X0] : (calm(X0) & quiet(X0)) [input p7]
16. ~tall(alice) | kind(alice) [input p15]
19. tall(alice) [input... | 0 |
Everyone who is generous or not funny is not happy and vice versa.
Everyone who is wise or humble is both not strong and not old and vice versa.
Everyone who is either not wise or wise is both funny and generous.
If susan is both patient and not wise then susan is both not quiet and not creative.
If mary is not tall th... | Mary is not old. | entailment | (![X]:((generous(X)|~funny(X))<=>~happy(X)))&
(![X]:((wise(X)|humble(X))<=>(~strong(X)&~old(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&generous(X))))&
(((patient(susan)&~wise(susan)))=>((~quiet(susan)&~creative(susan))))&
((~tall(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((~old(X)<~>~kind(X))=>(kind(X)<~>gener... | ~old(mary) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 486946415024414479821352
% SZS output start Proof for 486946415024414479821352
2. ! [X0] : ((humble(X0) | wise(X0)) <=> (~old(X0) & ~strong(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (generous(X0) & funny(X0))) [input p2]
8. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (generou... | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not humble.
Everyone who is curious is not quiet or strong.
Everyone who is old is rich and vice versa.
Everyone who is brave or happy is wise and vice versa.
If alice is both old and not creative then mary... | Lucy is not rich. | neutral | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~humble(X)))&
(![X]:(curious(X)=>(~quiet(X)|strong(X))))&
(![X]:(old(X)<=>rich(X)))&
(![X]:((brave(X)|happy(X))<=>wise(X)))&
(((old(alice)&~creative(alice)))=>((~calm(mary)|~strong(mary))))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:(~happy(X)=>... | ~rich(lucy) | [] | null | 0 |
Everyone who is not humble or old is both not quiet and not happy.
If john is not patient or curious then paul is either not curious or not tall and vice versa.
Everyone who is not quiet or not patient is not patient or generous.
Everyone who is happy or not patient is curious and vice versa.
Everyone who is creative i... | Paul is not creative. | contradiction | (![X]:((~humble(X)|old(X))=>(~quiet(X)&~happy(X))))&
(((~patient(john)|curious(john)))<=>((~curious(paul)<~>~tall(paul))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)|generous(X))))&
(![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:((~creative(X)|funny(X))=>(kind(X)|~... | ~creative(paul) | [
"p0",
"p5",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8797633147201229799681508
% SZS output start Proof for 8797633147201229799681508
1. ! [X0] : ((old(X0) | ~humble(X0)) => (~happy(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creativ... | 0 |
If mary is creative or not happy then someone is creative or kind and vice versa.
If someone is tall or not humble then john is not funny.
If john is not humble then lucy is both generous and quiet.
Everyone who is either happy or not creative is creative or not generous.
Everyone who is either not funny or patient is ... | Lucy is not kind. | contradiction | (((creative(mary)|~happy(mary)))<=>(?[X]:((creative(X)|kind(X)))))&
((?[X]:((tall(X)|~humble(X))))=>(~funny(john)))&
((~humble(john))=>((generous(lucy)&quiet(lucy))))&
(![X]:((happy(X)<~>~creative(X))=>(creative(X)|~generous(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~old(X)&tall(X))))&
((~generous(susan))=>(?[X]:((happy... | ~kind(lucy) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4173529895433156293710468
% SZS output start Proof for 4173529895433156293710468
8. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p7]
12. ! [X0] : (~humble(X0) <=> (kind(X0) | creative(X0))) [input p11]
25. ~kind(lucy) [input hypothesis]
49. ! [X0] : ... | 0 |
If someone is rich then lucy is either not generous or kind.
If someone is tall then fred is patient and vice versa.
If someone is both humble and not patient then someone is both not brave and kind.
If someone is either brave or creative then mary is not brave or not patient and vice versa.
If someone is both not curi... | Susan is curious. | neutral | ((?[X]:(rich(X)))=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:(tall(X)))<=>(patient(fred)))&
((?[X]:((humble(X)&~patient(X))))=>(?[X]:((~brave(X)&kind(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>((~brave(mary)|~patient(mary))))&
((?[X]:((~curious(X)&~quiet(X))))<=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:((~patient(X)<~>~g... | curious(susan) | [] | null | 0 |
Everyone who is not patient is not strong and vice versa.
If someone is not patient or not quiet then someone is humble.
Everyone who is not happy is either not patient or not quiet and vice versa.
If someone is old then fred is either not rich or happy.
Everyone who is both creative and patient is quiet or curious and... | John is not brave. | entailment | (![X]:(~patient(X)<=>~strong(X)))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:(humble(X))))&
(![X]:(~happy(X)<=>(~patient(X)<~>~quiet(X))))&
((?[X]:(old(X)))=>((~rich(fred)<~>happy(fred))))&
(![X]:((creative(X)&patient(X))<=>(quiet(X)|curious(X))))&
(![X]:(~brave(X)<=>(~brave(X)<~>~curious(X))))&
((?[X]:((wise(X)|quiet(X... | ~brave(john) | [
"p2",
"p4",
"p5",
"p6",
"p9",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1517693303192097195298194
% SZS output start Proof for 1517693303192097195298194
3. ! [X0] : (~happy(X0) <=> (~patient(X0) <~> ~quiet(X0))) [input p2]
5. ! [X0] : ((patient(X0) & creative(X0)) <=> (curious(X0) | quiet(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> ~curious(X... | 0 |
If john is not quiet or happy then someone is brave or old. Everyone who is not creative is both not happy and happy and vice versa. If someone is either not humble or not curious then paul is either brave or not humble. Everyone who is not generous or not patient is not calm. Everyone who is generous or not curious is... | Susan is generous. | contradiction | (((~quiet(john)|happy(john)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:(~creative(X)<=>(~happy(X)&happy(X))))&
((?[X]:((~humble(X)<~>~curious(X))))=>((brave(paul)<~>~humble(paul))))&
(![X]:((~generous(X)|~patient(X))=>~calm(X)))&
(![X]:((generous(X)|~curious(X))<=>(happy(X)&~creative(X))))&
(((~happy(john)|~brave(john)))=>(... | generous(susan) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5929134777218569714556821
% SZS output start Proof for 5929134777218569714556821
2. ! [X0] : (~creative(X0) <=> (happy(X0) & ~happy(X0))) [input p1]
5. ! [X0] : ((~curious(X0) | generous(X0)) <=> (~creative(X0) & happy(X0))) [input p4]
20. generous(susan) [input hypothesis]
37. ! [X0] : (... | 0 |
Everyone who is not happy is either curious or calm.
If paul is funny then someone is not old.
Everyone who is generous is either not quiet or not strong and vice versa.
Everyone who is either not rich or old is old or not rich.
Everyone who is both curious and not brave is not patient or not quiet.
If lucy is not crea... | Susan is patient. | neutral | (![X]:(~happy(X)=>(curious(X)<~>calm(X))))&
((funny(paul))=>(?[X]:(~old(X))))&
(![X]:(generous(X)<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~rich(X)<~>old(X))=>(old(X)|~rich(X))))&
(![X]:((curious(X)&~brave(X))=>(~patient(X)|~quiet(X))))&
(((~creative(lucy)|kind(lucy)))=>(?[X]:((~curious(X)|tall(X)))))&
(((~calm(john)|crea... | patient(susan) | [] | null | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is either patient or happy is either not curious or not humble.
If susan is both humble and quiet then mary is creative or kind and vice versa.
... | Fred is rich. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((patient(X)<~>happy(X))=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious... | rich(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5828379576994626354647319
% SZS output start Proof for 5828379576994626354647319
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (calm(X0) & ~calm(X0))) [input p1]
24. rich(fred) [input hypothesis]
35. ! [X0] : (((strong(X0) | rich(X0)) | (~calm(X0) | calm(X0))) & ((calm(X0) & ~calm(X0)) | (~str... | 0 |
If mary is not curious then someone is both strong and not curious and vice versa.
Everyone who is both rich and not patient is tall and vice versa.
If someone is brave then susan is kind.
Everyone who is not curious is both quiet and kind and vice versa.
Everyone who is not creative or not curious is not patient and v... | Paul is not brave. | neutral | ((~curious(mary))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:((rich(X)&~patient(X))<=>tall(X)))&
((?[X]:(brave(X)))=>(kind(susan)))&
(![X]:(~curious(X)<=>(quiet(X)&kind(X))))&
(![X]:((~creative(X)|~curious(X))<=>~patient(X)))&
((?[X]:(~old(X)))<=>((creative(paul)|calm(paul))))&
(![X]:((~funny(X)<~>rich(X))<=>(wise(X)&~... | ~brave(paul) | [] | null | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa.
Everyone who is both humble and tall is funny or wise.
Everyone who is not patient is funny.
Everyone who is kind is both creative and not tall and vice versa.
Everyone who is not humble is not quiet or patient.
If someone ... | Lucy is not humble. | contradiction | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((humble(X)&tall(X))=>(funny(X)|wise(X))))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:(kind(X)<=>(creative(X)&~tall(X))))&
(![X]:(~humble(X)=>(~quiet(X)|patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((calm(X)&strong(X)))))&
((?[X]:((generous(X)|patie... | ~humble(lucy) | [
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6263926333434963948645342
% SZS output start Proof for 6263926333434963948645342
8. ! [X0] : (~brave(X0) <=> (~funny(X0) & strong(X0))) [input p7]
11. ! [X0] : (~creative(X0) <=> (~humble(X0) | ~calm(X0))) [input p10]
15. ! [X0] : ((~creative(X0) | ~wise(X0)) => (funny(X0) & ~brave(X0))) ... | 0 |
Everyone who is not calm or not generous is not curious or wise.
Everyone who is either not humble or not generous is either humble or old and vice versa.
Everyone who is patient is brave.
If mary is both curious and not rich then someone is calm.
If susan is both not generous and not humble then susan is both not humb... | Lucy is strong. | contradiction | (![X]:((~calm(X)|~generous(X))=>(~curious(X)|wise(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(humble(X)<~>old(X))))&
(![X]:(patient(X)=>brave(X)))&
(((curious(mary)&~rich(mary)))=>(?[X]:(calm(X))))&
(((~generous(susan)&~humble(susan)))=>((~humble(susan)&generous(susan))))&
(((creative(lucy)|~curious(lucy)))=>(curious(... | strong(lucy) | [
"p0",
"p1",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4745596805481480067345461
% SZS output start Proof for 4745596805481480067345461
1. ! [X0] : ((~generous(X0) | ~calm(X0)) => (wise(X0) | ~curious(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (humble(X0) <~> old(X0))) [input p1]
8. ! [X0] : ((~wise(X0) | ~strong(X0)) <... | 0 |
Everyone who is not creative is not kind or brave.
If someone is either not creative or not humble then someone is patient or not happy and vice versa.
If susan is both quiet and old then someone is not creative or old.
Everyone who is kind is both not happy and not kind and vice versa.
Everyone who is quiet or happy i... | Susan is not creative. | neutral | (![X]:(~creative(X)=>(~kind(X)|brave(X))))&
((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:((patient(X)|~happy(X)))))&
(((quiet(susan)&old(susan)))=>(?[X]:((~creative(X)|old(X)))))&
(![X]:(kind(X)<=>(~happy(X)&~kind(X))))&
(![X]:((quiet(X)|happy(X))=>(humble(X)|patient(X))))&
(![X]:((~funny(X)&~rich(X))=>(~happy(X)|~gen... | ~creative(susan) | [] | null | 0 |
Everyone who is either happy or patient is both not rich and quiet and vice versa.
If fred is wise then someone is both generous and strong.
If someone is both kind and not creative then someone is patient.
Everyone who is both not creative and not curious is creative and vice versa.
Everyone who is both not rich and w... | Mary is not calm. | entailment | (![X]:((happy(X)<~>patient(X))<=>(~rich(X)&quiet(X))))&
((wise(fred))=>(?[X]:((generous(X)&strong(X)))))&
((?[X]:((kind(X)&~creative(X))))=>(?[X]:(patient(X))))&
(![X]:((~creative(X)&~curious(X))<=>creative(X)))&
(![X]:((~rich(X)&wise(X))=>(~humble(X)|~kind(X))))&
(![X]:((~calm(X)&~old(X))<=>(~kind(X)|~humble(X))))&
((... | ~calm(mary) | [
"p2",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8213929557449160947266905
% SZS output start Proof for 8213929557449160947266905
3. ? [X0] : (~creative(X0) & kind(X0)) => ? [X0] : patient(X0) [input p2]
4. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> creative(X0)) [input p3]
6. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (~humble(X0) | ~kind(... | 0 |
Everyone who is either quiet or calm is both funny and old. Everyone who is either kind or not tall is both calm and not creative and vice versa. Everyone who is either not wise or curious is both quiet and humble and vice versa. If someone is both not brave and not wise then susan is both not happy and not patient and... | Lucy is happy. | entailment | (![X]:((quiet(X)<~>calm(X))=>(funny(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))<=>(calm(X)&~creative(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(quiet(X)&humble(X))))&
((?[X]:((~brave(X)&~wise(X))))<=>((~happy(susan)&~patient(susan))))&
(![X]:((~creative(X)|creative(X))<=>(quiet(X)|wise(X))))&
(((funny(paul)&tall(paul)))<=>... | happy(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1461862341577316986878739
% SZS output start Proof for 1461862341577316986878739
1. ! [X0] : ((quiet(X0) <~> calm(X0)) => (old(X0) & funny(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (humble(X0) & quiet(X0))) [input p2]
5. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (wi... | 0 |
Everyone who is either not rich or generous is both calm and quiet and vice versa. Everyone who is both not patient and not strong is not strong and vice versa. If lucy is both not calm and creative then someone is not patient or not happy and vice versa. Everyone who is either rich or not rich is either not wise or no... | John is brave. | neutral | (![X]:((~rich(X)<~>generous(X))<=>(calm(X)&quiet(X))))&
(![X]:((~patient(X)&~strong(X))<=>~strong(X)))&
(((~calm(lucy)&creative(lucy)))<=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:((rich(X)<~>~rich(X))=>(~wise(X)<~>~patient(X))))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:((~calm(X)&~happy(X)))))&
((?[X]:(~kind(X)))<=>((gene... | brave(john) | [] | null | 0 |
If someone is not humble or brave then fred is not humble.
If someone is both not creative and not kind then someone is quiet.
If someone is old or generous then someone is both not creative and generous and vice versa.
Everyone who is either not humble or not kind is both tall and not old.
Everyone who is not calm or ... | John is quiet. | contradiction | ((?[X]:((~humble(X)|brave(X))))=>(~humble(fred)))&
((?[X]:((~creative(X)&~kind(X))))=>(?[X]:(quiet(X))))&
((?[X]:((old(X)|generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(![X]:((~humble(X)<~>~kind(X))=>(tall(X)&~old(X))))&
(![X]:((~calm(X)|~creative(X))<=>(calm(X)<~>kind(X))))&
(((funny(mary)|quiet(mary)))=>(?[X... | quiet(john) | [
"p7",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4400328813220439728201804
% SZS output start Proof for 4400328813220439728201804
8. ! [X0] : ((~strong(X0) | calm(X0)) <=> (quiet(X0) | funny(X0))) [input p7]
22. ~calm(john) [input p21]
23. strong(john) [input p22]
24. quiet(john) [input hypothesis]
59. ! [X0] : (((~strong(X0) | calm(X0)... | 0 |
Everyone who is strong is either not kind or not generous. Everyone who is not creative or patient is funny or tall. If fred is either not strong or patient then someone is either not quiet or not creative and vice versa. If alice is wise then alice is curious and vice versa. Everyone who is not strong or generous is n... | Fred is not humble. | contradiction | (![X]:(strong(X)=>(~kind(X)<~>~generous(X))))&
(![X]:((~creative(X)|patient(X))=>(funny(X)|tall(X))))&
(((~strong(fred)<~>patient(fred)))<=>(?[X]:((~quiet(X)<~>~creative(X)))))&
((wise(alice))<=>(curious(alice)))&
(![X]:((~strong(X)|generous(X))<=>~patient(X)))&
((?[X]:((~rich(X)|curious(X))))<=>(?[X]:((creative(X)|qui... | ~humble(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4147329552950453031137106
% SZS output start Proof for 4147329552950453031137106
18. generous(fred) & humble(fred) [input p17]
25. ~humble(fred) [input hypothesis]
123. humble(fred) [cnf transformation 18]
131. ~humble(fred) [cnf transformation 25]
281. $false [subsumption resolution 131,... | 0 |
If lucy is not happy or quiet then lucy is either not tall or not old and vice versa. Everyone who is not quiet is both quiet and strong. If someone is either calm or happy then paul is both not patient and not strong and vice versa. Everyone who is rich is generous or not funny. Everyone who is quiet is both creative ... | Fred is old. | entailment | (((~happy(lucy)|quiet(lucy)))<=>((~tall(lucy)<~>~old(lucy))))&
(![X]:(~quiet(X)=>(quiet(X)&strong(X))))&
((?[X]:((calm(X)<~>happy(X))))<=>((~patient(paul)&~strong(paul))))&
(![X]:(rich(X)=>(generous(X)|~funny(X))))&
(![X]:(quiet(X)=>(creative(X)&kind(X))))&
(![X]:(~patient(X)<=>(~funny(X)&~tall(X))))&
((?[X]:(~brave(X)... | old(fred) | [
"p1",
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2024348240967548027977931
% SZS output start Proof for 2024348240967548027977931
2. ! [X0] : (~quiet(X0) => (strong(X0) & quiet(X0))) [input p1]
5. ! [X0] : (quiet(X0) => (kind(X0) & creative(X0))) [input p4]
12. ! [X0] : ((~old(X0) | kind(X0)) <=> (quiet(X0) & ~calm(X0))) [input p11]
13.... | 0 |
If someone is either not wise or calm then someone is patient or curious. Everyone who is not calm or not tall is either rich or not patient and vice versa. If someone is not kind then someone is both creative and not creative and vice versa. Everyone who is wise or rich is not strong or not creative. If mary is either... | John is wise. | neutral | ((?[X]:((~wise(X)<~>calm(X))))=>(?[X]:((patient(X)|curious(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(rich(X)<~>~patient(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((wise(X)|rich(X))=>(~strong(X)|~creative(X))))&
(((kind(mary)<~>~calm(mary)))=>(creative(lucy)))&
((?[X]:((~funny(X)|~wise(X))))=>(... | wise(john) | [] | null | 0 |
Everyone who is either quiet or not old is tall and vice versa. If john is not calm then someone is creative and vice versa. Everyone who is kind or curious is either not old or funny and vice versa. Everyone who is either funny or not wise is both strong and not patient and vice versa. Everyone who is either curious o... | John is humble. | neutral | (![X]:((quiet(X)<~>~old(X))<=>tall(X)))&
((~calm(john))<=>(?[X]:(creative(X))))&
(![X]:((kind(X)|curious(X))<=>(~old(X)<~>funny(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~strong(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(curious(X)<=>(funny(X)|strong(X))))&
(![X]:(~wise(X)<=>(... | humble(john) | [] | null | 0 |
If someone is tall then fred is either strong or not tall and vice versa. Everyone who is kind or curious is both brave and creative and vice versa. If someone is not brave then someone is not happy and vice versa. Everyone who is old or quiet is quiet and vice versa. If lucy is funny or strong then paul is both genero... | Alice is funny. | entailment | ((?[X]:(tall(X)))<=>((strong(fred)<~>~tall(fred))))&
(![X]:((kind(X)|curious(X))<=>(brave(X)&creative(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(~happy(X))))&
(![X]:((old(X)|quiet(X))<=>quiet(X)))&
(((funny(lucy)|strong(lucy)))=>((generous(paul)&patient(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~rich(X)))))&
(((br... | funny(alice) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 708505775757438623464830
% SZS output start Proof for 708505775757438623464830
1. ? [X0] : tall(X0) <=> (strong(fred) <~> ~tall(fred)) [input p0]
2. ! [X0] : ((curious(X0) | kind(X0)) <=> (creative(X0) & brave(X0))) [input p1]
3. ? [X0] : ~brave(X0) <=> ? [X0] : ~happy(X0) [input p2]
8. !... | 0 |
If someone is either patient or not patient then mary is either not rich or not quiet.
If john is humble then someone is happy.
If susan is both not calm and not creative then fred is both creative and not generous and vice versa.
If someone is either not generous or old then someone is either not humble or not creativ... | John is not old. | contradiction | ((?[X]:((patient(X)<~>~patient(X))))=>((~rich(mary)<~>~quiet(mary))))&
((humble(john))=>(?[X]:(happy(X))))&
(((~calm(susan)&~creative(susan)))<=>((creative(fred)&~generous(fred))))&
((?[X]:((~generous(X)<~>old(X))))=>(?[X]:((~humble(X)<~>~creative(X)))))&
((?[X]:((~brave(X)&calm(X))))=>((wise(susan)&generous(susan))))&... | ~old(john) | [
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6904365754963808933276484
% SZS output start Proof for 6904365754963808933276484
9. rich(john) <=> ? [X0] : ~patient(X0) [input p8]
16. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~old(X0) | ~quiet(X0))) [input p15]
18. quiet(john) & ~patient(john) [input p17]
25. ~old(john) [input hypothesis... | 0 |
If someone is either not patient or not humble then someone is both rich and old. If alice is not curious then mary is tall or not strong and vice versa. If someone is either not creative or not humble then someone is generous or patient. Everyone who is kind is both not rich and happy. If someone is not creative or fu... | Fred is rich. | contradiction | ((?[X]:((~patient(X)<~>~humble(X))))=>(?[X]:((rich(X)&old(X)))))&
((~curious(alice))<=>((tall(mary)|~strong(mary))))&
((?[X]:((~creative(X)<~>~humble(X))))=>(?[X]:((generous(X)|patient(X)))))&
(![X]:(kind(X)=>(~rich(X)&happy(X))))&
((?[X]:((~creative(X)|funny(X))))<=>(?[X]:((~happy(X)<~>~creative(X)))))&
((curious(alic... | rich(fred) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5889677232103666114569857
% SZS output start Proof for 5889677232103666114569857
4. ! [X0] : (kind(X0) => (happy(X0) & ~rich(X0))) [input p3]
21. kind(fred) [input p20]
25. rich(fred) [input hypothesis]
32. ! [X0] : ((happy(X0) & ~rich(X0)) | ~kind(X0)) [ennf transformation 4]
95. ~kind(X... | 0 |
Everyone who is kind is brave and vice versa. If mary is wise or not quiet then mary is not calm or not old. Everyone who is humble is both quiet and not wise and vice versa. Everyone who is not generous is both not patient and curious. Everyone who is either quiet or not kind is either rich or humble. Everyone who is ... | Fred is not generous. | contradiction | (![X]:(kind(X)<=>brave(X)))&
(((wise(mary)|~quiet(mary)))=>((~calm(mary)|~old(mary))))&
(![X]:(humble(X)<=>(quiet(X)&~wise(X))))&
(![X]:(~generous(X)=>(~patient(X)&curious(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(rich(X)<~>humble(X))))&
(![X]:((~calm(X)|~old(X))<=>(funny(X)&~rich(X))))&
(![X]:((brave(X)&humble(X))<=>(~hum... | ~generous(fred) | [
"p3",
"p5",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 536920183968790224351932
% SZS output start Proof for 536920183968790224351932
4. ! [X0] : (~generous(X0) => (curious(X0) & ~patient(X0))) [input p3]
6. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (~rich(X0) & funny(X0))) [input p5]
13. ! [X0] : (~humble(X0) => (happy(X0) & patient(X0))) [input ... | 0 |
If someone is both not strong and not kind then lucy is either not patient or not wise and vice versa.
Everyone who is not calm is either old or not humble and vice versa.
If john is not quiet or not creative then someone is not old or not patient.
Everyone who is not generous or not curious is brave or not old and vic... | Lucy is kind. | contradiction | ((?[X]:((~strong(X)&~kind(X))))<=>((~patient(lucy)<~>~wise(lucy))))&
(![X]:(~calm(X)<=>(old(X)<~>~humble(X))))&
(((~quiet(john)|~creative(john)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~generous(X)|~curious(X))<=>(brave(X)|~old(X))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curio... | kind(lucy) | [
"p6",
"p7",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4395840290215907935556383
% SZS output start Proof for 4395840290215907935556383
7. ! [X0] : ((~brave(X0) <~> kind(X0)) <=> (wise(X0) <~> old(X0))) [input p6]
8. ? [X0] : calm(X0) => (creative(lucy) & quiet(lucy)) [input p7]
11. ! [X0] : ((~patient(X0) | quiet(X0)) => (strong(X0) & old(X0... | 0 |
If someone is not patient or generous then someone is either calm or not strong.
Everyone who is either not wise or not funny is both strong and rich.
If mary is both tall and humble then someone is both not kind and creative and vice versa.
Everyone who is either not curious or curious is either not funny or calm.
Eve... | Alice is humble. | contradiction | ((?[X]:((~patient(X)|generous(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((~wise(X)<~>~funny(X))=>(strong(X)&rich(X))))&
(((tall(mary)&humble(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((~curious(X)<~>curious(X))=>(~funny(X)<~>calm(X))))&
(![X]:((~humble(X)<~>calm(X))<=>~rich(X)))&
(![X]:((~patient(X)|~humbl... | humble(alice) | [
"p1",
"p3",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8807046195065251302572457
% SZS output start Proof for 8807046195065251302572457
2. ! [X0] : ((~wise(X0) <~> ~funny(X0)) => (rich(X0) & strong(X0))) [input p1]
4. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~funny(X0) <~> calm(X0))) [input p3]
5. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> ... | 0 |
Everyone who is either not calm or not quiet is both not happy and not calm and vice versa.
If someone is both strong and humble then someone is both not strong and brave and vice versa.
If lucy is either not funny or happy then mary is not funny and vice versa.
Everyone who is funny or tall is both quiet and not rich ... | Alice is quiet. | entailment | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&~calm(X))))&
((?[X]:((strong(X)&humble(X))))<=>(?[X]:((~strong(X)&brave(X)))))&
(((~funny(lucy)<~>happy(lucy)))<=>(~funny(mary)))&
(![X]:((funny(X)|tall(X))<=>(quiet(X)&~rich(X))))&
(![X]:((~patient(X)|~generous(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~strong(X)&~creative(X))<=>(... | quiet(alice) | [
"p0",
"p6",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 69070933782211278169175
% SZS output start Proof for 69070933782211278169175
1. ! [X0] : ((~calm(X0) <~> ~quiet(X0)) <=> (~calm(X0) & ~happy(X0))) [input p0]
7. ? [X0] : (~tall(X0) | strong(X0)) <=> (generous(alice) & ~humble(alice)) [input p6]
12. ! [X0] : (~humble(X0) <=> (~calm(X0) <~>... | 0 |
If someone is both brave and creative then someone is brave or wise and vice versa. Everyone who is funny is both funny and not creative and vice versa. Everyone who is both funny and creative is either calm or strong and vice versa. If mary is not creative then john is both not calm and humble. If fred is calm then so... | Susan is creative. | contradiction | ((?[X]:((brave(X)&creative(X))))<=>(?[X]:((brave(X)|wise(X)))))&
(![X]:(funny(X)<=>(funny(X)&~creative(X))))&
(![X]:((funny(X)&creative(X))<=>(calm(X)<~>strong(X))))&
((~creative(mary))=>((~calm(john)&humble(john))))&
((calm(fred))=>(?[X]:((old(X)<~>kind(X)))))&
(((funny(paul)&~strong(paul)))=>((~creative(alice)|rich(a... | creative(susan) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9024606076048413150363672
% SZS output start Proof for 9024606076048413150363672
2. ! [X0] : (funny(X0) <=> (~creative(X0) & funny(X0))) [input p1]
9. ! [X0] : ((~humble(X0) | humble(X0)) => funny(X0)) [input p8]
22. creative(susan) [input hypothesis]
36. ! [X0] : (funny(X0) | (humble(X0)... | 0 |
Everyone who is kind or not rich is not kind.
If paul is old or curious then someone is wise or not happy and vice versa.
Everyone who is both patient and wise is quiet or strong and vice versa.
Everyone who is not quiet is strong or not wise.
Everyone who is quiet is either funny or not curious.
Everyone who is both q... | Mary is happy. | neutral | (![X]:((kind(X)|~rich(X))=>~kind(X)))&
(((old(paul)|curious(paul)))<=>(?[X]:((wise(X)|~happy(X)))))&
(![X]:((patient(X)&wise(X))<=>(quiet(X)|strong(X))))&
(![X]:(~quiet(X)=>(strong(X)|~wise(X))))&
(![X]:(quiet(X)=>(funny(X)<~>~curious(X))))&
(![X]:((quiet(X)&rich(X))<=>(wise(X)|~humble(X))))&
(![X]:(quiet(X)<=>strong(X... | happy(mary) | [] | null | 0 |
If someone is both funny and not calm then someone is either humble or calm.
If someone is both not strong and creative then john is not calm or not kind and vice versa.
If alice is either kind or calm then someone is both creative and wise and vice versa.
If someone is not kind or not old then someone is calm.
Everyon... | Mary is generous. | neutral | ((?[X]:((funny(X)&~calm(X))))=>(?[X]:((humble(X)<~>calm(X)))))&
((?[X]:((~strong(X)&creative(X))))<=>((~calm(john)|~kind(john))))&
(((kind(alice)<~>calm(alice)))<=>(?[X]:((creative(X)&wise(X)))))&
((?[X]:((~kind(X)|~old(X))))=>(?[X]:(calm(X))))&
(![X]:(~old(X)=>(humble(X)&generous(X))))&
(![X]:((creative(X)<~>~curious(... | generous(mary) | [] | null | 0 |
If fred is calm then someone is not curious or not happy.
Everyone who is not curious is calm.
If someone is either brave or kind then someone is patient or not kind and vice versa.
Everyone who is generous or not funny is both funny and kind and vice versa.
Everyone who is calm is either tall or not humble and vice ve... | Alice is calm. | entailment | ((calm(fred))=>(?[X]:((~curious(X)|~happy(X)))))&
(![X]:(~curious(X)=>calm(X)))&
((?[X]:((brave(X)<~>kind(X))))<=>(?[X]:((patient(X)|~kind(X)))))&
(![X]:((generous(X)|~funny(X))<=>(funny(X)&kind(X))))&
(![X]:(calm(X)<=>(tall(X)<~>~humble(X))))&
(((~quiet(susan)&~patient(susan)))<=>(?[X]:((generous(X)|humble(X)))))&
(![... | calm(alice) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5838752858426403036490424
% SZS output start Proof for 5838752858426403036490424
2. ! [X0] : (~curious(X0) => calm(X0)) [input p1]
4. ! [X0] : ((~funny(X0) | generous(X0)) <=> (kind(X0) & funny(X0))) [input p3]
6. (~patient(susan) & ~quiet(susan)) <=> ? [X0] : (humble(X0) | generous(X0)) ... | 0 |
Everyone who is creative is humble.
Everyone who is either not humble or not calm is either curious or rich.
Everyone who is generous or strong is not wise.
Everyone who is both humble and not humble is not curious or not funny and vice versa.
Everyone who is either not quiet or not strong is not rich.
Everyone who is ... | Paul is creative. | neutral | (![X]:(creative(X)=>humble(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(curious(X)<~>rich(X))))&
(![X]:((generous(X)|strong(X))=>~wise(X)))&
(![X]:((humble(X)&~humble(X))<=>(~curious(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~strong(X))=>~rich(X)))&
(![X]:((patient(X)|humble(X))<=>(tall(X)&~happy(X))))&
(((~wise(susan)<~>~rich(su... | creative(paul) | [] | null | 0 |
If someone is either happy or not kind then mary is not kind or not tall and vice versa.
Everyone who is both rich and creative is not quiet and vice versa.
Everyone who is not kind is either generous or not calm and vice versa.
Everyone who is both curious and quiet is both not rich and not funny and vice versa.
Every... | Lucy is humble. | entailment | ((?[X]:((happy(X)<~>~kind(X))))<=>((~kind(mary)|~tall(mary))))&
(![X]:((rich(X)&creative(X))<=>~quiet(X)))&
(![X]:(~kind(X)<=>(generous(X)<~>~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>(~rich(X)&~funny(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~happy(X)|curious(X))))&
(![X]:(~rich(X)<=>patient(X)))&
(![X]:((~calm(X)&funn... | humble(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2497935485117381770388287
% SZS output start Proof for 2497935485117381770388287
2. ! [X0] : ((creative(X0) & rich(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : ((quiet(X0) & curious(X0)) <=> (~funny(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((~kind(X0) <~> ~happy(X0)) <=> (curious(X0) | ~ha... | 0 |
Everyone who is either not rich or not old is old or kind.
Everyone who is not generous is happy or generous and vice versa.
If someone is either not wise or not generous then someone is either not strong or not quiet.
Everyone who is humble or tall is tall or funny and vice versa.
Everyone who is either not brave or r... | Mary is not patient. | contradiction | (![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))<=>(tall(X)|funny(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~rich(X)|patient(X))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&h... | ~patient(mary) | [
"p1",
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7044200568555307606266658
% SZS output start Proof for 7044200568555307606266658
2. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p1]
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
11. (generous(susan) & curious(susan)) <=> ? [X0] : curio... | 0 |
Everyone who is either creative or not rich is both not old and old. Everyone who is both not curious and not happy is generous or not wise. Everyone who is both not strong and not generous is calm and vice versa. Everyone who is not humble or patient is not wise or brave and vice versa. If someone is not quiet or not ... | Alice is patient. | neutral | (![X]:((creative(X)<~>~rich(X))=>(~old(X)&old(X))))&
(![X]:((~curious(X)&~happy(X))=>(generous(X)|~wise(X))))&
(![X]:((~strong(X)&~generous(X))<=>calm(X)))&
(![X]:((~humble(X)|patient(X))<=>(~wise(X)|brave(X))))&
((?[X]:((~quiet(X)|~wise(X))))=>((~humble(mary)&humble(mary))))&
((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brav... | patient(alice) | [] | null | 0 |
If someone is both funny and not happy then paul is quiet.
Everyone who is not wise or not creative is both old and not creative and vice versa.
If someone is both not patient and calm then john is both rich and not generous.
If someone is either not patient or creative then someone is not funny.
Everyone who is both n... | Alice is funny. | entailment | ((?[X]:((funny(X)&~happy(X))))=>(quiet(paul)))&
(![X]:((~wise(X)|~creative(X))<=>(old(X)&~creative(X))))&
((?[X]:((~patient(X)&calm(X))))=>((rich(john)&~generous(john))))&
((?[X]:((~patient(X)<~>creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)&kind(X))=>funny(X)))&
(((curious(susan)&happy(susan)))=>((quiet(alice)... | funny(alice) | [
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4096467844600652223762412
% SZS output start Proof for 4096467844600652223762412
8. ! [X0] : (~humble(X0) <=> (~rich(X0) & kind(X0))) [input p7]
11. ! [X0] : ((curious(X0) | ~funny(X0)) => calm(X0)) [input p10]
15. ! [X0] : ((humble(X0) | ~old(X0)) <=> (creative(X0) & ~humble(X0))) [input... | 0 |
If someone is not tall or not calm then someone is both not old and strong.
Everyone who is wise is humble or wise.
If susan is either brave or not wise then someone is both creative and not generous and vice versa.
If someone is not old or tall then paul is either not curious or old.
Everyone who is either generous or... | Paul is tall. | contradiction | ((?[X]:((~tall(X)|~calm(X))))=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(wise(X)=>(humble(X)|wise(X))))&
(((brave(susan)<~>~wise(susan)))<=>(?[X]:((creative(X)&~generous(X)))))&
((?[X]:((~old(X)|tall(X))))=>((~curious(paul)<~>old(paul))))&
(![X]:((generous(X)<~>~quiet(X))<=>(strong(X)&~curious(X))))&
(![X]:((~creative(X)<~... | tall(paul) | [
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7798192972670800731773377
% SZS output start Proof for 7798192972670800731773377
10. ! [X0] : ((~strong(X0) & rich(X0)) <=> creative(X0)) [input p9]
11. (humble(susan) & ~humble(susan)) <=> ? [X0] : (~rich(X0) & kind(X0)) [input p10]
14. ! [X0] : ((~kind(X0) | tall(X0)) <=> ~funny(X0)) [i... | 0 |
Everyone who is not funny or not tall is generous or creative and vice versa.
If alice is not generous or not brave then someone is patient.
If someone is not funny then someone is both wise and not brave.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and n... | John is not creative. | entailment | (![X]:((~funny(X)|~tall(X))<=>(generous(X)|creative(X))))&
(((~generous(alice)|~brave(alice)))=>(?[X]:(patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(!... | ~creative(john) | [
"p0",
"p3",
"p6",
"p7",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1377643952889478565344388
% SZS output start Proof for 1377643952889478565344388
1. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (creative(X0) | generous(X0))) [input p0]
4. ! [X0] : (~curious(X0) <=> funny(X0)) [input p3]
7. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (kind(X0) | ~old(X0))) [... | 0 |
Everyone who is patient or quiet is creative or not humble.
Everyone who is both brave and creative is not brave or not generous and vice versa.
Everyone who is both creative and not patient is either brave or rich.
If someone is either creative or not creative then someone is not old.
If someone is patient or funny th... | Fred is old. | contradiction | (![X]:((patient(X)|quiet(X))=>(creative(X)|~humble(X))))&
(![X]:((brave(X)&creative(X))<=>(~brave(X)|~generous(X))))&
(![X]:((creative(X)&~patient(X))=>(brave(X)<~>rich(X))))&
((?[X]:((creative(X)<~>~creative(X))))=>(?[X]:(~old(X))))&
((?[X]:((patient(X)|funny(X))))=>((calm(lucy)|~brave(lucy))))&
(![X]:(~creative(X)<=>... | old(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4385146295239402763673696
% SZS output start Proof for 4385146295239402763673696
8. ! [X0] : (~old(X0) <=> (old(X0) | rich(X0))) [input p7]
24. old(fred) [input hypothesis]
53. ! [X0] : ((~old(X0) | (~old(X0) & ~rich(X0))) & ((old(X0) | rich(X0)) | old(X0))) [nnf transformation 8]
54. ! [... | 0 |
If susan is both rich and happy then someone is brave.
Everyone who is not calm or generous is not kind or tall.
Everyone who is not funny or not quiet is both not patient and not kind and vice versa.
If someone is calm or humble then someone is wise and vice versa.
Everyone who is not tall or tall is generous.
Everyon... | Lucy is not funny. | contradiction | (((rich(susan)&happy(susan)))=>(?[X]:(brave(X))))&
(![X]:((~calm(X)|generous(X))=>(~kind(X)|tall(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~patient(X)&~kind(X))))&
((?[X]:((calm(X)|humble(X))))<=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|tall(X))=>generous(X)))&
(![X]:(~creative(X)<=>(quiet(X)<~>happy(X))))&
(((creative(lucy)|c... | ~funny(lucy) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1168659641031401237785374
% SZS output start Proof for 1168659641031401237785374
16. funny(lucy) <=> (brave(john) | kind(john)) [input p15]
22. brave(john) | kind(john) [input p21]
24. ~funny(lucy) [input hypothesis]
59. (funny(lucy) | (~brave(john) & ~kind(john))) & ((brave(john) | kind(... | 0 |
If fred is either not rich or not curious then someone is both not patient and not kind.
If paul is not humble or not strong then someone is funny or not humble.
Everyone who is both quiet and patient is funny and vice versa.
If alice is either not rich or not old then alice is both not generous and not quiet and vice ... | Susan is curious. | contradiction | (((~rich(fred)<~>~curious(fred)))=>(?[X]:((~patient(X)&~kind(X)))))&
(((~humble(paul)|~strong(paul)))=>(?[X]:((funny(X)|~humble(X)))))&
(![X]:((quiet(X)&patient(X))<=>funny(X)))&
(((~rich(alice)<~>~old(alice)))<=>((~generous(alice)&~quiet(alice))))&
(![X]:((kind(X)<~>~funny(X))<=>(~humble(X)&kind(X))))&
(![X]:((funny(X... | curious(susan) | [
"p4",
"p5",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6254697184323561754338481
% SZS output start Proof for 6254697184323561754338481
5. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> (kind(X0) & ~humble(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (wise(X0) & rich(X0))) [input p5]
10. ! [X0] : ((curious(X0) | ~creative(X0)) => ~old(X... | 0 |
Everyone who is not strong or funny is not old and vice versa.
Everyone who is not kind is old or not strong and vice versa.
If someone is either not tall or funny then lucy is not brave or not rich and vice versa.
If paul is generous then someone is both not humble and not patient.
If alice is not creative then someon... | Lucy is not old. | entailment | (![X]:((~strong(X)|funny(X))<=>~old(X)))&
(![X]:(~kind(X)<=>(old(X)|~strong(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=>((~brave(lucy)|~rich(lucy))))&
((generous(paul))=>(?[X]:((~humble(X)&~patient(X)))))&
((~creative(alice))<=>(?[X]:((humble(X)&strong(X)))))&
((?[X]:((~wise(X)|~funny(X))))=>(?[X]:((happy(X)<~>creative(X)... | ~old(lucy) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3392258134953822882314128
% SZS output start Proof for 3392258134953822882314128
2. ! [X0] : (~kind(X0) <=> (~strong(X0) | old(X0))) [input p1]
9. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> kind(X0)) [input p8]
22. old(lucy) [input hypothesis]
32. ! [X0] : ((~kind(X0) | (strong(X0) & ~old(X0)... | 0 |
If someone is creative or not happy then someone is calm.
Everyone who is not tall or wise is quiet.
If someone is not brave or wise then susan is strong or old.
Everyone who is not tall is happy or not funny.
Everyone who is either wise or quiet is not brave.
Everyone who is both not humble and generous is brave or no... | Susan is not tall. | entailment | ((?[X]:((creative(X)|~happy(X))))=>(?[X]:(calm(X))))&
(![X]:((~tall(X)|wise(X))=>quiet(X)))&
((?[X]:((~brave(X)|wise(X))))=>((strong(susan)|old(susan))))&
(![X]:(~tall(X)=>(happy(X)|~funny(X))))&
(![X]:((wise(X)<~>quiet(X))=>~brave(X)))&
(![X]:((~humble(X)&generous(X))<=>(brave(X)|~tall(X))))&
(![X]:((~quiet(X)|~genero... | ~tall(susan) | [
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4982240688515333216812534
% SZS output start Proof for 4982240688515333216812534
6. ! [X0] : ((generous(X0) & ~humble(X0)) <=> (~tall(X0) | brave(X0))) [input p5]
9. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (~generous(X0) <~> ~brave(X0))) [input p8]
11. ! [X0] : ((~humble(X0) & happy(X0)) ... | 0 |
Everyone who is not kind is generous or not patient and vice versa.
Everyone who is brave is not brave or creative and vice versa.
If someone is either old or funny then someone is not rich or not tall.
Everyone who is not humble is rich and vice versa.
If someone is either generous or not quiet then lucy is not creati... | Mary is creative. | entailment | (![X]:(~kind(X)<=>(generous(X)|~patient(X))))&
(![X]:(brave(X)<=>(~brave(X)|creative(X))))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:(~humble(X)<=>rich(X)))&
((?[X]:((generous(X)<~>~quiet(X))))<=>((~creative(lucy)|calm(lucy))))&
(![X]:(~patient(X)=>(quiet(X)&~rich(X))))&
(![X]:(quiet(X)=>(tal... | creative(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7206334224031130211784044
% SZS output start Proof for 7206334224031130211784044
2. ! [X0] : (brave(X0) <=> (creative(X0) | ~brave(X0))) [input p1]
25. ~creative(mary) [input hypothesis]
38. ! [X0] : ((brave(X0) | (~creative(X0) & brave(X0))) & ((creative(X0) | ~brave(X0)) | ~brave(X0))) ... | 0 |
Everyone who is either not happy or wise is both not creative and humble.
If someone is either not funny or not old then someone is kind or rich and vice versa.
Everyone who is not strong is either not wise or calm.
If someone is curious then mary is both not old and generous and vice versa.
Everyone who is not curious... | John is patient. | neutral | (![X]:((~happy(X)<~>wise(X))=>(~creative(X)&humble(X))))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:(~strong(X)=>(~wise(X)<~>calm(X))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(![X]:((brave(X... | patient(john) | [] | null | 0 |
Everyone who is either not tall or not wise is either not generous or not funny and vice versa.
If john is either rich or strong then lucy is calm and vice versa.
If someone is tall or humble then someone is either not kind or old.
If someone is not humble or strong then someone is either not wise or humble.
Everyone w... | Lucy is tall. | entailment | (![X]:((~tall(X)<~>~wise(X))<=>(~generous(X)<~>~funny(X))))&
(((rich(john)<~>strong(john)))<=>(calm(lucy)))&
((?[X]:((tall(X)|humble(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
((?[X]:((~humble(X)|strong(X))))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((~funny(X)|~tall(X))=>(~strong(X)<~>strong(X))))&
(![X]:((~generous(X)|~pa... | tall(lucy) | [
"p6",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7401887927218203520856144
% SZS output start Proof for 7401887927218203520856144
7. ! [X0] : (~tall(X0) <=> kind(X0)) [input p6]
12. (~generous(susan) <~> happy(susan)) <=> ? [X0] : (old(X0) | kind(X0)) [input p11]
16. ! [X0] : (~generous(X0) <=> (~tall(X0) <~> tall(X0))) [input p15]
18. ... | 0 |
If someone is not strong then someone is not old and vice versa. If john is both not rich and not quiet then fred is rich or not quiet and vice versa. Everyone who is quiet is wise and vice versa. Everyone who is quiet is either not tall or curious and vice versa. If alice is either curious or kind then someone is both... | Alice is not happy. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(~old(X))))&
(((~rich(john)&~quiet(john)))<=>((rich(fred)|~quiet(fred))))&
(![X]:(quiet(X)<=>wise(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>curious(X))))&
(((curious(alice)<~>kind(alice)))=>(?[X]:((~funny(X)&~quiet(X)))))&
(((wise(mary)&patient(mary)))<=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~w... | ~happy(alice) | [] | null | 0 |
If john is both old and humble then paul is both rich and old.
Everyone who is both not patient and patient is kind.
If someone is either happy or not happy then someone is both not kind and not happy.
If john is not curious then paul is not brave and vice versa.
If susan is not generous then someone is either wise or ... | John is wise. | neutral | (((old(john)&humble(john)))=>((rich(paul)&old(paul))))&
(![X]:((~patient(X)&patient(X))=>kind(X)))&
((?[X]:((happy(X)<~>~happy(X))))=>(?[X]:((~kind(X)&~happy(X)))))&
((~curious(john))<=>(~brave(paul)))&
((~generous(susan))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((~wise(X)&curious(X))=>(~creative(X)|humble(X))))&
(![X... | wise(john) | [] | null | 0 |
If someone is humble or funny then someone is not tall.
Everyone who is both happy and not generous is either not wise or not happy and vice versa.
If susan is not tall or not funny then lucy is either creative or not creative and vice versa.
Everyone who is either old or quiet is not patient or curious and vice versa.... | Paul is humble. | contradiction | ((?[X]:((humble(X)|funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)&~generous(X))<=>(~wise(X)<~>~happy(X))))&
(((~tall(susan)|~funny(susan)))<=>((creative(lucy)<~>~creative(lucy))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)|curious(X))))&
(![X]:((~quiet(X)&~rich(X))=>(patient(X)&~tall(X))))&
(![X]:((~wise(X)|calm(X))... | humble(paul) | [
"p0",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6300670539090596561222715
% SZS output start Proof for 6300670539090596561222715
1. ? [X0] : (funny(X0) | humble(X0)) => ? [X0] : ~tall(X0) [input p0]
6. ! [X0] : ((calm(X0) | ~wise(X0)) <=> (calm(X0) & ~generous(X0))) [input p5]
8. ! [X0] : ((~wise(X0) & humble(X0)) <=> (patient(X0) | ~c... | 0 |
If someone is not strong or kind then someone is funny or not patient. Everyone who is either humble or not curious is both not calm and funny and vice versa. If paul is not brave then someone is both generous and old. If john is not happy then alice is not curious. Everyone who is both creative and not curious is not ... | Susan is patient. | entailment | ((?[X]:((~strong(X)|kind(X))))=>(?[X]:((funny(X)|~patient(X)))))&
(![X]:((humble(X)<~>~curious(X))<=>(~calm(X)&funny(X))))&
((~brave(paul))=>(?[X]:((generous(X)&old(X)))))&
((~happy(john))=>(~curious(alice)))&
(![X]:((creative(X)&~curious(X))<=>(~wise(X)|~quiet(X))))&
(![X]:(rich(X)=>(~tall(X)|funny(X))))&
(![X]:((~fun... | patient(susan) | [
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7370651090064772233707320
% SZS output start Proof for 7370651090064772233707320
7. ! [X0] : ((~old(X0) & ~funny(X0)) <=> ~rich(X0)) [input p6]
10. (strong(susan) <~> ~old(susan)) <=> strong(susan) [input p9]
15. ! [X0] : ((rich(X0) | kind(X0)) => (patient(X0) & quiet(X0))) [input p14]
25... | 0 |
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