premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not brave or brave is not strong. Everyone who is both not funny and quiet is either generous or not humble. If someone is both generous and not strong then someone is generous or humble and vice versa. If alice is happy then someone is either patient or not old. Everyone who is not tall is both ... | Paul is not generous. | neutral | (![X]:((~brave(X)<~>brave(X))=>~strong(X)))&
(![X]:((~funny(X)&quiet(X))=>(generous(X)<~>~humble(X))))&
((?[X]:((generous(X)&~strong(X))))<=>(?[X]:((generous(X)|humble(X)))))&
((happy(alice))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:(~tall(X)=>(~humble(X)&tall(X))))&
(![X]:((~happy(X)|brave(X))<=>~humble(X)))&
(![X]:((... | ~generous(paul) | [] | null | 0 |
Everyone who is both not creative and kind is either happy or not tall.
If someone is both funny and not calm then susan is both not patient and generous.
Everyone who is quiet or not strong is not strong or not kind and vice versa.
If someone is both curious and kind then someone is both not rich and generous and vice... | Paul is humble. | neutral | (![X]:((~creative(X)&kind(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((funny(X)&~calm(X))))=>((~patient(susan)&generous(susan))))&
(![X]:((quiet(X)|~strong(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(((~quiet(susan)&~generous(susan)))=>(?[X]:(funny(X))))&
(![X]:(brave(X)... | humble(paul) | [] | null | 0 |
Everyone who is calm is not humble and vice versa. Everyone who is curious is not calm and vice versa. Everyone who is both not calm and humble is either calm or not old and vice versa. Everyone who is either calm or tall is either not patient or not kind and vice versa. Everyone who is funny or quiet is not kind and v... | John is not rich. | contradiction | (![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
(![X]:((funny(X)|quiet(X))<=>~kind(X)))&
((?[X]:((~humble(X)|~quiet(X))))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:((tall(X)|~curious(X))=>(~patie... | ~rich(john) | [
"p0",
"p1",
"p2",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8205879519779704020371710
% SZS output start Proof for 8205879519779704020371710
1. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p2]
7. ! [X0] : ((~curious(X0) | ... | 0 |
Everyone who is brave is not strong and vice versa.
If someone is brave then mary is creative or humble and vice versa.
Everyone who is both not funny and wise is old and vice versa.
If someone is curious or tall then someone is both not happy and humble and vice versa.
If someone is both calm and patient then someone ... | Mary is not calm. | neutral | (![X]:(brave(X)<=>~strong(X)))&
((?[X]:(brave(X)))<=>((creative(mary)|humble(mary))))&
(![X]:((~funny(X)&wise(X))<=>old(X)))&
((?[X]:((curious(X)|tall(X))))<=>(?[X]:((~happy(X)&humble(X)))))&
((?[X]:((calm(X)&patient(X))))=>(?[X]:((rich(X)|~old(X)))))&
((?[X]:((kind(X)&~happy(X))))<=>(?[X]:((strong(X)<~>~calm(X)))))&
(... | ~calm(mary) | [] | null | 0 |
If someone is not funny then someone is happy and vice versa.
If mary is not calm or happy then fred is either patient or happy.
Everyone who is tall is either kind or creative and vice versa.
Everyone who is old is both not kind and curious.
Everyone who is not tall or quiet is either humble or rich and vice versa.
Ev... | Alice is happy. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:(happy(X))))&
(((~calm(mary)|happy(mary)))=>((patient(fred)<~>happy(fred))))&
(![X]:(tall(X)<=>(kind(X)<~>creative(X))))&
(![X]:(old(X)=>(~kind(X)&curious(X))))&
(![X]:((~tall(X)|quiet(X))<=>(humble(X)<~>rich(X))))&
(![X]:(~tall(X)<=>(~calm(X)<~>~curious(X))))&
(((~generous(lucy)&patient(luc... | happy(alice) | [
"p3",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8553601298138483525990447
% SZS output start Proof for 8553601298138483525990447
4. ! [X0] : (old(X0) => (curious(X0) & ~kind(X0))) [input p3]
9. ? [X0] : kind(X0) <=> ? [X0] : (happy(X0) <~> ~quiet(X0)) [input p8]
12. ? [X0] : ~old(X0) <=> (humble(alice) & ~humble(alice)) [input p11]
13.... | 0 |
If someone is both not happy and not wise then mary is both not rich and tall and vice versa. Everyone who is quiet is not funny. Everyone who is both not rich and calm is both quiet and generous. Everyone who is kind is both not quiet and rich and vice versa. Everyone who is both wise and tall is both tall and not kin... | John is kind. | contradiction | ((?[X]:((~happy(X)&~wise(X))))<=>((~rich(mary)&tall(mary))))&
(![X]:(quiet(X)=>~funny(X)))&
(![X]:((~rich(X)&calm(X))=>(quiet(X)&generous(X))))&
(![X]:(kind(X)<=>(~quiet(X)&rich(X))))&
(![X]:((wise(X)&tall(X))=>(tall(X)&~kind(X))))&
(![X]:((rich(X)<~>old(X))=>(patient(X)&~tall(X))))&
(![X]:((~strong(X)&quiet(X))<=>(cur... | kind(john) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7978907566408031814546193
% SZS output start Proof for 7978907566408031814546193
4. ! [X0] : (kind(X0) <=> (rich(X0) & ~quiet(X0))) [input p3]
7. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p6]
23. kind(john) [input hypothesis]
43. ! [X0] : ((kind(X0) | ... | 0 |
Everyone who is not creative is not wise or quiet.
Everyone who is not happy is either not happy or rich.
Everyone who is not happy is both tall and humble and vice versa.
Everyone who is either kind or strong is either rich or generous.
If someone is both not rich and not strong then john is old or humble.
Everyone wh... | Fred is creative. | contradiction | (![X]:(~creative(X)=>(~wise(X)|quiet(X))))&
(![X]:(~happy(X)=>(~happy(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(tall(X)&humble(X))))&
(![X]:((kind(X)<~>strong(X))=>(rich(X)<~>generous(X))))&
((?[X]:((~rich(X)&~strong(X))))=>((old(john)|humble(john))))&
(![X]:((~wise(X)<~>~happy(X))=>(~patient(X)&calm(X))))&
(![X]:((~curious... | creative(fred) | [
"p5",
"p6",
"p8",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8082018930433727464835304
% SZS output start Proof for 8082018930433727464835304
6. ! [X0] : ((~wise(X0) <~> ~happy(X0)) => (calm(X0) & ~patient(X0))) [input p5]
7. ! [X0] : ((creative(X0) | ~curious(X0)) => (~wise(X0) <~> ~old(X0))) [input p6]
9. ! [X0] : (~happy(X0) <=> (~old(X0) & ~hap... | 0 |
If someone is either not curious or brave then someone is both not humble and old and vice versa.
Everyone who is happy is not humble.
Everyone who is either not funny or not generous is curious or rich and vice versa.
Everyone who is either rich or brave is both patient and not calm and vice versa.
If fred is either n... | Susan is not generous. | neutral | ((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:(happy(X)=>~humble(X)))&
(![X]:((~funny(X)<~>~generous(X))<=>(curious(X)|rich(X))))&
(![X]:((rich(X)<~>brave(X))<=>(patient(X)&~calm(X))))&
(((~calm(fred)<~>~strong(fred)))=>((brave(fred)|~generous(fred))))&
((?[X]:(~humble(X)))<=>(?[X]:((rich(X)... | ~generous(susan) | [] | null | 0 |
Everyone who is both tall and happy is both calm and wise and vice versa.
Everyone who is not creative is either funny or happy.
If john is both not kind and not wise then fred is both calm and brave and vice versa.
Everyone who is both tall and brave is both rich and not brave and vice versa.
If someone is either not ... | Fred is brave. | contradiction | (![X]:((tall(X)&happy(X))<=>(calm(X)&wise(X))))&
(![X]:(~creative(X)=>(funny(X)<~>happy(X))))&
(((~kind(john)&~wise(john)))<=>((calm(fred)&brave(fred))))&
(![X]:((tall(X)&brave(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~strong(X)<~>tall(X))))=>(?[X]:(kind(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(~happy(X)|~calm(X))))&
(!... | brave(fred) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8742638460466230454221621
% SZS output start Proof for 8742638460466230454221621
4. ! [X0] : ((brave(X0) & tall(X0)) <=> (~brave(X0) & rich(X0))) [input p3]
10. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~tall(X0) | creative(X0))) [input p9]
18. brave(fred) [input hypothesis]
34. ! [X0... | 0 |
If mary is not funny then fred is either not old or not wise and vice versa.
Everyone who is either not wise or not happy is both humble and kind and vice versa.
Everyone who is old or kind is both not creative and strong and vice versa.
Everyone who is either creative or kind is both curious and not generous and vice ... | Paul is happy. | contradiction | ((~funny(mary))<=>((~old(fred)<~>~wise(fred))))&
(![X]:((~wise(X)<~>~happy(X))<=>(humble(X)&kind(X))))&
(![X]:((old(X)|kind(X))<=>(~creative(X)&strong(X))))&
(![X]:((creative(X)<~>kind(X))<=>(curious(X)&~generous(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(brave(X)<~>~calm(X))))&
(![X]:((creative(X)<~>~funny(X))=>humble(X)... | happy(paul) | [
"p1",
"p2",
"p3",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 42693094386975234078157
% SZS output start Proof for 42693094386975234078157
2. ! [X0] : ((~wise(X0) <~> ~happy(X0)) <=> (kind(X0) & humble(X0))) [input p1]
3. ! [X0] : ((kind(X0) | old(X0)) <=> (strong(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((creative(X0) <~> kind(X0)) <=> (~genero... | 0 |
Everyone who is both wise and happy is either tall or not calm and vice versa.
Everyone who is both kind and not humble is both happy and humble and vice versa.
Everyone who is rich or not kind is strong and vice versa.
If john is either calm or not old then someone is not rich.
Everyone who is not rich is both rich an... | Mary is strong. | entailment | (![X]:((wise(X)&happy(X))<=>(tall(X)<~>~calm(X))))&
(![X]:((kind(X)&~humble(X))<=>(happy(X)&humble(X))))&
(![X]:((rich(X)|~kind(X))<=>strong(X)))&
(((calm(john)<~>~old(john)))=>(?[X]:(~rich(X))))&
(![X]:(~rich(X)=>(rich(X)&curious(X))))&
(![X]:((rich(X)<~>~wise(X))<=>(~old(X)|~funny(X))))&
((?[X]:((curious(X)|generous(... | strong(mary) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8919795240136112426689319
% SZS output start Proof for 8919795240136112426689319
3. ! [X0] : ((~kind(X0) | rich(X0)) <=> strong(X0)) [input p2]
5. ! [X0] : (~rich(X0) => (curious(X0) & rich(X0))) [input p4]
23. ~strong(mary) [input hypothesis]
24. ! [X0] : ((~kind(X0) | rich(X0)) => stron... | 0 |
Everyone who is either calm or brave is not funny or not strong.
Everyone who is not happy or not kind is not calm.
Everyone who is either not funny or wise is both wise and not rich and vice versa.
Everyone who is not creative or not humble is rich and vice versa.
If susan is both generous and not rich then fred is ei... | Fred is not strong. | entailment | (![X]:((calm(X)<~>brave(X))=>(~funny(X)|~strong(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((~funny(X)<~>wise(X))<=>(wise(X)&~rich(X))))&
(![X]:((~creative(X)|~humble(X))<=>rich(X)))&
(((generous(susan)&~rich(susan)))=>((humble(fred)<~>happy(fred))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:(~patient(X))))&
... | ~strong(fred) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2833986646410857230502640
% SZS output start Proof for 2833986646410857230502640
1. ! [X0] : ((calm(X0) <~> brave(X0)) => (~strong(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | ~happy(X0)) => ~calm(X0)) [input p1]
3. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> (~rich(X0) & wise(X0))... | 0 |
Everyone who is both not creative and not old is both rich and humble and vice versa. If lucy is rich or curious then someone is not funny and vice versa. If someone is either not brave or not old then paul is not creative or not calm and vice versa. Everyone who is either not creative or tall is not patient and vice v... | Paul is not creative. | contradiction | (![X]:((~creative(X)&~old(X))<=>(rich(X)&humble(X))))&
(((rich(lucy)|curious(lucy)))<=>(?[X]:(~funny(X))))&
((?[X]:((~brave(X)<~>~old(X))))<=>((~creative(paul)|~calm(paul))))&
(![X]:((~creative(X)<~>tall(X))<=>~patient(X)))&
((~funny(john))=>(~generous(john)))&
(![X]:((~old(X)<~>~generous(X))=>(calm(X)<~>wise(X))))&
((... | ~creative(paul) | [
"p3",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6259803739544937534431082
% SZS output start Proof for 6259803739544937534431082
4. ! [X0] : ((~creative(X0) <~> tall(X0)) <=> ~patient(X0)) [input p3]
12. ! [X0] : ((funny(X0) & tall(X0)) <=> calm(X0)) [input p11]
16. ! [X0] : ((~patient(X0) <~> tall(X0)) <=> calm(X0)) [input p15]
17. ~f... | 0 |
Everyone who is either brave or happy is not patient or not funny. Everyone who is old or not creative is patient or creative. If someone is wise then someone is both not humble and brave. If susan is old or creative then someone is not generous or happy and vice versa. Everyone who is both not patient and kind is eith... | John is quiet. | neutral | (![X]:((brave(X)<~>happy(X))=>(~patient(X)|~funny(X))))&
(![X]:((old(X)|~creative(X))=>(patient(X)|creative(X))))&
((?[X]:(wise(X)))=>(?[X]:((~humble(X)&brave(X)))))&
(((old(susan)|creative(susan)))<=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~patient(X)&kind(X))=>(curious(X)<~>brave(X))))&
(![X]:((~kind(X)|~generous(... | quiet(john) | [] | null | 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... | Alice is calm. | 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... | calm(alice) | [
"p0",
"p4",
"p12",
"p14",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8782097985659171547697387
% SZS output start Proof for 8782097985659171547697387
1. ! [X0] : ((calm(X0) <~> ~patient(X0)) => calm(X0)) [input p0]
5. ! [X0] : ((kind(X0) & creative(X0)) <=> (patient(X0) <~> wise(X0))) [input p4]
13. ! [X0] : (~tall(X0) => (tall(X0) & calm(X0))) [input p12]... | 0 |
Everyone who is not calm is either wise or not curious and vice versa.
If someone is either not rich or not funny then someone is not old and vice versa.
If someone is either not strong or not humble then alice is both not old and not creative.
Everyone who is not creative is both strong and funny.
If mary is either hu... | Alice is happy. | entailment | (![X]:(~calm(X)<=>(wise(X)<~>~curious(X))))&
((?[X]:((~rich(X)<~>~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~strong(X)<~>~humble(X))))=>((~old(alice)&~creative(alice))))&
(![X]:(~creative(X)=>(strong(X)&funny(X))))&
(((humble(mary)<~>~funny(mary)))=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)&~patient(X))<=>(strong(X)&gen... | happy(alice) | [
"p2",
"p3",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 69259170714927679753910
% SZS output start Proof for 69259170714927679753910
3. ? [X0] : (~strong(X0) <~> ~humble(X0)) => (~creative(alice) & ~old(alice)) [input p2]
4. ! [X0] : (~creative(X0) => (funny(X0) & strong(X0))) [input p3]
7. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (old(X0) |... | 0 |
Everyone who is not calm is either wise or not curious and vice versa.
If someone is either not rich or not funny then someone is not old and vice versa.
If someone is either not strong or not humble then alice is both not old and not creative.
Everyone who is not creative is both strong and funny.
If mary is either hu... | Alice is curious. | entailment | (![X]:(~calm(X)<=>(wise(X)<~>~curious(X))))&
((?[X]:((~rich(X)<~>~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~strong(X)<~>~humble(X))))=>((~old(alice)&~creative(alice))))&
(![X]:(~creative(X)=>(strong(X)&funny(X))))&
(((humble(mary)<~>~funny(mary)))=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)&~patient(X))<=>(strong(X)&gen... | curious(alice) | [
"p2",
"p3",
"p6",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2643017828527093499271073
% SZS output start Proof for 2643017828527093499271073
3. ? [X0] : (~strong(X0) <~> ~humble(X0)) => (~creative(alice) & ~old(alice)) [input p2]
4. ! [X0] : (~creative(X0) => (funny(X0) & strong(X0))) [input p3]
7. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (old(X... | 0 |
Everyone who is kind is not generous.
Everyone who is both patient and not patient is either not generous or not creative and vice versa.
Everyone who is happy is not strong or not funny.
Everyone who is not quiet or wise is both brave and old.
If lucy is rich or tall then paul is not humble and vice versa.
Everyone wh... | Fred is old. | neutral | (![X]:(kind(X)=>~generous(X)))&
(![X]:((patient(X)&~patient(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:(happy(X)=>(~strong(X)|~funny(X))))&
(![X]:((~quiet(X)|wise(X))=>(brave(X)&old(X))))&
(((rich(lucy)|tall(lucy)))<=>(~humble(paul)))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:(strong(X)<=>(rich(X)|~kind(X))))&
(![X]:... | old(fred) | [] | null | 0 |
Everyone who is creative or not brave is strong and vice versa. If susan is not brave or not humble then someone is wise and vice versa. Everyone who is both not wise and not quiet is humble and vice versa. Everyone who is not happy is not wise. If someone is not creative then john is both not brave and creative and vi... | Fred is not tall. | contradiction | (![X]:((creative(X)|~brave(X))<=>strong(X)))&
(((~brave(susan)|~humble(susan)))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)&~quiet(X))<=>humble(X)))&
(![X]:(~happy(X)=>~wise(X)))&
((?[X]:(~creative(X)))<=>((~brave(john)&creative(john))))&
(![X]:((~quiet(X)&happy(X))=>(patient(X)<~>~quiet(X))))&
(![X]:((happy(X)|quiet(X))<=>(... | ~tall(fred) | [
"p4",
"p7",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 329357025159730452553464
% SZS output start Proof for 329357025159730452553464
5. ? [X0] : ~creative(X0) <=> (creative(john) & ~brave(john)) [input p4]
8. (~humble(fred) & tall(fred)) <=> ? [X0] : (~funny(X0) | ~brave(X0)) [input p7]
12. ! [X0] : ((funny(X0) | ~generous(X0)) => ~old(X0)) ... | 0 |
Everyone who is not curious is not wise or not old.
If someone is either brave or not funny then lucy is rich.
If someone is generous or creative then someone is both not tall and not kind and vice versa.
Everyone who is both not old and old is generous.
Everyone who is generous is not wise and vice versa.
Everyone who... | Lucy is generous. | contradiction | (![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((generous(X)|creative(X))))<=>(?[X]:((~tall(X)&~kind(X)))))&
(![X]:((~old(X)&old(X))=>generous(X)))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(old(X)=>(~tall(X)|~humble(X))))&
(((~kind(john)&wise(john)))=>(?[X]:(~rich(X))))... | generous(lucy) | [
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 41441394679975941961473
% SZS output start Proof for 41441394679975941961473
3. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p2]
11. ! [X0] : ((~creative(X0) | ~tall(X0)) => (wise(X0) & humble(X0))) [input p10]
12. ! [X0] : (tall(X0) <=> (wise(X0) | h... | 0 |
Everyone who is not humble is either happy or not kind and vice versa.
Everyone who is either happy or quiet is not happy or not strong.
If fred is generous or not funny then someone is not creative or not rich.
Everyone who is not old or not kind is either brave or not tall and vice versa.
Everyone who is brave or qui... | Lucy is creative. | contradiction | (![X]:(~humble(X)<=>(happy(X)<~>~kind(X))))&
(![X]:((happy(X)<~>quiet(X))=>(~happy(X)|~strong(X))))&
(((generous(fred)|~funny(fred)))=>(?[X]:((~creative(X)|~rich(X)))))&
(![X]:((~old(X)|~kind(X))<=>(brave(X)<~>~tall(X))))&
(![X]:((brave(X)|quiet(X))<=>(~strong(X)<~>brave(X))))&
(![X]:((rich(X)&~wise(X))=>(generous(X)|~... | creative(lucy) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4529450100077765628496287
% SZS output start Proof for 4529450100077765628496287
2. ! [X0] : ((happy(X0) <~> quiet(X0)) => (~strong(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((quiet(X0) | brave(X0)) <=> (~strong(X0) <~> brave(X0))) [input p4]
9. ! [X0] : ((creative(X0) <~> quiet(X0)) <=> ... | 0 |
If someone is either not old or not quiet then someone is rich or old and vice versa.
If someone is humble then lucy is old and vice versa.
Everyone who is either not kind or not rich is both not rich and strong.
If someone is not calm then someone is either calm or old and vice versa.
Everyone who is not creative is n... | Mary is not kind. | neutral | ((?[X]:((~old(X)<~>~quiet(X))))<=>(?[X]:((rich(X)|old(X)))))&
((?[X]:(humble(X)))<=>(old(lucy)))&
(![X]:((~kind(X)<~>~rich(X))=>(~rich(X)&strong(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((calm(X)<~>old(X)))))&
(![X]:(~creative(X)<=>~humble(X)))&
((~kind(mary))=>((~curious(mary)<~>~funny(mary))))&
((?[X]:((~happy(X)<~>~calm(X)... | ~kind(mary) | [] | null | 0 |
Everyone who is either not tall or not calm is happy or not strong and vice versa.
Everyone who is either not quiet or kind is both curious and not brave and vice versa.
Everyone who is either strong or not funny is either not tall or not calm.
Everyone who is humble is both humble and tall.
Everyone who is either old ... | Lucy is not generous. | contradiction | (![X]:((~tall(X)<~>~calm(X))<=>(happy(X)|~strong(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(curious(X)&~brave(X))))&
(![X]:((strong(X)<~>~funny(X))=>(~tall(X)<~>~calm(X))))&
(![X]:(humble(X)=>(humble(X)&tall(X))))&
(![X]:((old(X)<~>~patient(X))=>~curious(X)))&
(![X]:(~generous(X)<=>~brave(X)))&
(((~strong(lucy)<~>happy(luc... | ~generous(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 460428809925389580226428
% SZS output start Proof for 460428809925389580226428
12. ! [X0] : (calm(X0) <=> (~calm(X0) <~> generous(X0))) [input p11]
24. ~generous(lucy) [input hypothesis]
58. ! [X0] : ((calm(X0) | ((~calm(X0) | ~generous(X0)) & (generous(X0) | calm(X0)))) & (((~generous(X0... | 0 |
Everyone who is not creative or not wise is either not rich or generous.
Everyone who is quiet is both wise and old.
Everyone who is generous or not strong is either not creative or curious.
Everyone who is not happy is either curious or generous.
If someone is humble or calm then someone is either curious or not humbl... | Fred is happy. | entailment | (![X]:((~creative(X)|~wise(X))=>(~rich(X)<~>generous(X))))&
(![X]:(quiet(X)=>(wise(X)&old(X))))&
(![X]:((generous(X)|~strong(X))=>(~creative(X)<~>curious(X))))&
(![X]:(~happy(X)=>(curious(X)<~>generous(X))))&
((?[X]:((humble(X)|calm(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((creative(fred)&wise(fred)))<=>(?[X]:(~h... | happy(fred) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p12",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5643929335591364934274055
% SZS output start Proof for 5643929335591364934274055
2. ! [X0] : (quiet(X0) => (old(X0) & wise(X0))) [input p1]
3. ! [X0] : ((~strong(X0) | generous(X0)) => (~creative(X0) <~> curious(X0))) [input p2]
4. ! [X0] : (~happy(X0) => (curious(X0) <~> generous(X0))) [... | 0 |
Everyone who is generous or brave is funny or not old and vice versa.
If mary is brave then someone is both tall and generous and vice versa.
Everyone who is both not quiet and generous is brave and vice versa.
If someone is not tall then paul is patient.
If alice is either not brave or not funny then susan is both wis... | Susan is not creative. | neutral | (![X]:((generous(X)|brave(X))<=>(funny(X)|~old(X))))&
((brave(mary))<=>(?[X]:((tall(X)&generous(X)))))&
(![X]:((~quiet(X)&generous(X))<=>brave(X)))&
((?[X]:(~tall(X)))=>(patient(paul)))&
(((~brave(alice)<~>~funny(alice)))=>((wise(susan)&humble(susan))))&
(![X]:(funny(X)=>(~brave(X)<~>~calm(X))))&
(![X]:((~calm(X)&~stro... | ~creative(susan) | [] | null | 0 |
If fred is calm or not curious then someone is humble.
If someone is quiet then mary is both not kind and not humble.
If fred is either tall or not generous then john is not happy.
If someone is not patient then someone is not kind or rich and vice versa.
If alice is either not curious or not quiet then someone is pati... | Mary is humble. | contradiction | (((calm(fred)|~curious(fred)))=>(?[X]:(humble(X))))&
((?[X]:(quiet(X)))=>((~kind(mary)&~humble(mary))))&
(((tall(fred)<~>~generous(fred)))=>(~happy(john)))&
((?[X]:(~patient(X)))<=>(?[X]:((~kind(X)|rich(X)))))&
(((~curious(alice)<~>~quiet(alice)))=>(?[X]:(patient(X))))&
(![X]:((calm(X)<~>~strong(X))=>(patient(X)|~humbl... | humble(mary) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1427280733741095502889228
% SZS output start Proof for 1427280733741095502889228
2. ? [X0] : quiet(X0) => (~humble(mary) & ~kind(mary)) [input p1]
24. ? [X0] : quiet(X0) [input p23]
25. humble(mary) [input hypothesis]
31. (~humble(mary) & ~kind(mary)) | ! [X0] : ~quiet(X0) [ennf transform... | 0 |
Everyone who is not rich or not brave is not patient and vice versa. Everyone who is not strong is not wise or not brave. If someone is either rich or happy then someone is either brave or not patient and vice versa. If someone is not happy then someone is both generous and not brave and vice versa. If someone is eithe... | John is not creative. | entailment | (![X]:((~rich(X)|~brave(X))<=>~patient(X)))&
(![X]:(~strong(X)=>(~wise(X)|~brave(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(pa... | ~creative(john) | [
"p8",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3929527243837793025321046
% SZS output start Proof for 3929527243837793025321046
9. ! [X0] : (calm(X0) => (~funny(X0) & ~calm(X0))) [input p8]
11. ! [X0] : ((patient(X0) | curious(X0)) <=> (~wise(X0) & calm(X0))) [input p10]
16. ! [X0] : (humble(X0) => ~creative(X0)) [input p15]
17. humbl... | 0 |
Everyone who is not patient is not quiet or brave and vice versa.
Everyone who is humble or not wise is happy or not rich.
If alice is brave then lucy is both tall and not happy and vice versa.
If someone is both kind and creative then susan is funny or happy and vice versa.
If lucy is generous or old then paul is wise... | Paul is wise. | entailment | (![X]:(~patient(X)<=>(~quiet(X)|brave(X))))&
(![X]:((humble(X)|~wise(X))=>(happy(X)|~rich(X))))&
((brave(alice))<=>((tall(lucy)&~happy(lucy))))&
((?[X]:((kind(X)&creative(X))))<=>((funny(susan)|happy(susan))))&
(((generous(lucy)|old(lucy)))=>(wise(paul)))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~brave(X))))&
(![X]... | wise(paul) | [
"p4",
"p5",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5878004758524699210500551
% SZS output start Proof for 5878004758524699210500551
5. (old(lucy) | generous(lucy)) => wise(paul) [input p4]
6. ! [X0] : ((~old(X0) <~> strong(X0)) <=> (strong(X0) <~> ~brave(X0))) [input p5]
10. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (humble(X0) & brave(X0))... | 0 |
If someone is either creative or generous then someone is not funny.
If someone is both rich and wise then someone is not patient and vice versa.
Everyone who is either curious or creative is not creative.
If lucy is curious then someone is happy and vice versa.
Everyone who is either curious or not funny is not creati... | Lucy is kind. | entailment | ((?[X]:((creative(X)<~>generous(X))))=>(?[X]:(~funny(X))))&
((?[X]:((rich(X)&wise(X))))<=>(?[X]:(~patient(X))))&
(![X]:((curious(X)<~>creative(X))=>~creative(X)))&
((curious(lucy))<=>(?[X]:(happy(X))))&
(![X]:((curious(X)<~>~funny(X))=>~creative(X)))&
(((~tall(susan)|curious(susan)))<=>((humble(john)&kind(john))))&
(![... | kind(lucy) | [
"p2",
"p4",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3600581939256163097231
% SZS output start Proof for 3600581939256163097231
3. ! [X0] : ((curious(X0) <~> creative(X0)) => ~creative(X0)) [input p2]
5. ! [X0] : ((curious(X0) <~> ~funny(X0)) => ~creative(X0)) [input p4]
9. (old(lucy) | ~kind(lucy)) => (strong(alice) & ~calm(alice)) [input ... | 0 |
If someone is either wise or humble then someone is wise or generous.
If paul is both happy and not strong then john is not quiet.
Everyone who is both quiet and not strong is not rich or creative.
Everyone who is not generous is either old or strong.
Everyone who is both tall and not generous is either happy or not ta... | Alice is generous. | contradiction | ((?[X]:((wise(X)<~>humble(X))))=>(?[X]:((wise(X)|generous(X)))))&
(((happy(paul)&~strong(paul)))=>(~quiet(john)))&
(![X]:((quiet(X)&~strong(X))=>(~rich(X)|creative(X))))&
(![X]:(~generous(X)=>(old(X)<~>strong(X))))&
(![X]:((tall(X)&~generous(X))<=>(happy(X)<~>~tall(X))))&
(![X]:((strong(X)|~funny(X))<=>(quiet(X)<~>crea... | generous(alice) | [
"p14",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4790364167068567471844865
% SZS output start Proof for 4790364167068567471844865
15. ! [X0] : ((tall(X0) & ~strong(X0)) <=> (strong(X0) <~> tall(X0))) [input p14]
21. strong(alice) [input p20]
22. ~tall(alice) | ~generous(alice) [input p21]
24. generous(alice) [input hypothesis]
61. ! [X0... | 0 |
If someone is not strong then mary is either funny or tall.
Everyone who is not patient or not generous is not rich or brave and vice versa.
Everyone who is not brave is both not kind and not funny and vice versa.
Everyone who is not rich is humble or not calm and vice versa.
If mary is both not brave and quiet then jo... | Mary is not funny. | neutral | ((?[X]:(~strong(X)))=>((funny(mary)<~>tall(mary))))&
(![X]:((~patient(X)|~generous(X))<=>(~rich(X)|brave(X))))&
(![X]:(~brave(X)<=>(~kind(X)&~funny(X))))&
(![X]:(~rich(X)<=>(humble(X)|~calm(X))))&
(((~brave(mary)&quiet(mary)))=>(~kind(john)))&
(![X]:(~rich(X)<=>(~brave(X)|~wise(X))))&
(((~generous(mary)<~>~patient(mary... | ~funny(mary) | [] | null | 0 |
Everyone who is not quiet or humble is calm or not humble.
Everyone who is either not wise or not calm is both kind and not generous.
If someone is rich or brave then someone is not happy.
If someone is both calm and brave then someone is wise.
If mary is not curious or not patient then someone is not brave or funny.
I... | Lucy is brave. | entailment | (![X]:((~quiet(X)|humble(X))=>(calm(X)|~humble(X))))&
(![X]:((~wise(X)<~>~calm(X))=>(kind(X)&~generous(X))))&
((?[X]:((rich(X)|brave(X))))=>(?[X]:(~happy(X))))&
((?[X]:((calm(X)&brave(X))))=>(?[X]:(wise(X))))&
(((~curious(mary)|~patient(mary)))=>(?[X]:((~brave(X)|funny(X)))))&
(((brave(lucy)&~generous(lucy)))<=>(?[X]:(... | brave(lucy) | [
"p0",
"p5",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7982548920583804729301987
% SZS output start Proof for 7982548920583804729301987
1. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~humble(X0) | calm(X0))) [input p0]
6. (~generous(lucy) & brave(lucy)) <=> ? [X0] : (~curious(X0) | creative(X0)) [input p5]
11. ! [X0] : ((~creative(X0) | ~strong(X... | 0 |
Everyone who is both kind and curious is funny or not old and vice versa. Everyone who is both not rich and humble is both old and wise and vice versa. Everyone who is either not generous or not calm is either patient or not quiet. Everyone who is not curious is not creative or creative. Everyone who is either curious ... | Paul is not wise. | neutral | (![X]:((kind(X)&curious(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&humble(X))<=>(old(X)&wise(X))))&
(![X]:((~generous(X)<~>~calm(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(~curious(X)=>(~creative(X)|creative(X))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)|~strong(X))))&
(![X]:((strong(X)&wise(X))=>(brave(X)&calm(X))))&
... | ~wise(paul) | [] | null | 0 |
If fred is both old and not wise then lucy is both not happy and not creative and vice versa.
Everyone who is either happy or quiet is quiet and vice versa.
Everyone who is both patient and not creative is not happy.
If mary is not wise or not patient then someone is both not tall and old.
Everyone who is happy or not ... | Susan is curious. | contradiction | (((old(fred)&~wise(fred)))<=>((~happy(lucy)&~creative(lucy))))&
(![X]:((happy(X)<~>quiet(X))<=>quiet(X)))&
(![X]:((patient(X)&~creative(X))=>~happy(X)))&
(((~wise(mary)|~patient(mary)))=>(?[X]:((~tall(X)&old(X)))))&
(![X]:((happy(X)|~strong(X))=>(old(X)&strong(X))))&
(![X]:((old(X)|creative(X))=>~generous(X)))&
(![X]:(... | curious(susan) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4525917482194422286336007
% SZS output start Proof for 4525917482194422286336007
6. ! [X0] : ((creative(X0) | old(X0)) => ~generous(X0)) [input p5]
7. ! [X0] : (generous(X0) => (~curious(X0) & creative(X0))) [input p6]
13. (curious(susan) | ~rich(susan)) => (generous(paul) & creative(paul... | 0 |
If someone is not humble or humble then someone is both not strong and quiet.
If mary is wise or happy then paul is not rich.
Everyone who is not patient is rich.
Everyone who is calm is either not brave or not kind and vice versa.
Everyone who is either not old or quiet is tall and vice versa.
If mary is quiet or tall... | Mary is happy. | contradiction | ((?[X]:((~humble(X)|humble(X))))=>(?[X]:((~strong(X)&quiet(X)))))&
(((wise(mary)|happy(mary)))=>(~rich(paul)))&
(![X]:(~patient(X)=>rich(X)))&
(![X]:(calm(X)<=>(~brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>quiet(X))<=>tall(X)))&
(((quiet(mary)|tall(mary)))<=>(~quiet(lucy)))&
(((~brave(john)&~old(john)))<=>((~humble(paul)... | happy(mary) | [
"p2",
"p7",
"p8",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3246685929420314577569505
% SZS output start Proof for 3246685929420314577569505
3. ! [X0] : (~patient(X0) => rich(X0)) [input p2]
8. ! [X0] : (generous(X0) <=> (~tall(X0) | ~creative(X0))) [input p7]
9. (rich(susan) & ~rich(susan)) <=> ? [X0] : (rich(X0) <~> generous(X0)) [input p8]
12. ... | 0 |
Everyone who is either not curious or creative is not humble and vice versa.
If susan is both curious and not wise then someone is either not generous or not rich and vice versa.
Everyone who is both humble and calm is old or creative and vice versa.
If someone is both wise and generous then someone is both not kind an... | Susan is not old. | entailment | (![X]:((~curious(X)<~>creative(X))<=>~humble(X)))&
(((curious(susan)&~wise(susan)))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(![X]:((humble(X)&calm(X))<=>(old(X)|creative(X))))&
((?[X]:((wise(X)&generous(X))))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(strong(X)<=>(~happy(X)|patient(X))))&
(![X]:((calm(X)<~>~brave(X))<=>funny... | ~old(susan) | [
"p2",
"p4",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9131973274951257582463224
% SZS output start Proof for 9131973274951257582463224
3. ! [X0] : ((calm(X0) & humble(X0)) <=> (creative(X0) | old(X0))) [input p2]
5. ! [X0] : (strong(X0) <=> (patient(X0) | ~happy(X0))) [input p4]
7. ! [X0] : (brave(X0) => (funny(X0) <~> ~strong(X0))) [input p... | 0 |
Everyone who is not funny is both not brave and funny. Everyone who is quiet or not old is both generous and not humble. If someone is both not kind and kind then lucy is both wise and not humble and vice versa. Everyone who is patient or not creative is old and vice versa. Everyone who is either humble or curious is b... | Lucy is not creative. | contradiction | (![X]:(~funny(X)=>(~brave(X)&funny(X))))&
(![X]:((quiet(X)|~old(X))=>(generous(X)&~humble(X))))&
((?[X]:((~kind(X)&kind(X))))<=>((wise(lucy)&~humble(lucy))))&
(![X]:((patient(X)|~creative(X))<=>old(X)))&
(![X]:((humble(X)<~>curious(X))=>(~funny(X)&~brave(X))))&
((old(lucy))=>(?[X]:((~wise(X)<~>~old(X)))))&
(((~wise(ali... | ~creative(lucy) | [
"p0",
"p3",
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4430057360999145735987977
% SZS output start Proof for 4430057360999145735987977
1. ! [X0] : (~funny(X0) => (funny(X0) & ~brave(X0))) [input p0]
4. ! [X0] : ((~creative(X0) | patient(X0)) <=> old(X0)) [input p3]
5. ! [X0] : ((humble(X0) <~> curious(X0)) => (~brave(X0) & ~funny(X0))) [inpu... | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Fred is not funny. | entailment | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | ~funny(fred) | [
"p0",
"p11",
"p12",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7954428726700088821207662
% SZS output start Proof for 7954428726700088821207662
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
12. (happy(lucy) | ~kind(lucy)) <=> ? [X0] : (brave(X0) & funny(X0)) [input p11]
13. ! [X0] : (~happy(X0) <=> kind(X0)) [input ... | 0 |
Everyone who is brave or humble is humble or patient and vice versa.
Everyone who is not old or happy is both not creative and kind and vice versa.
Everyone who is either humble or not curious is either not happy or strong.
If someone is not funny then someone is quiet or funny and vice versa.
Everyone who is both stro... | Mary is tall. | neutral | (![X]:((brave(X)|humble(X))<=>(humble(X)|patient(X))))&
(![X]:((~old(X)|happy(X))<=>(~creative(X)&kind(X))))&
(![X]:((humble(X)<~>~curious(X))=>(~happy(X)<~>strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((quiet(X)|funny(X)))))&
(![X]:((strong(X)&patient(X))=>(tall(X)<~>~creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:((tall(X... | tall(mary) | [] | null | 0 |
If someone is quiet or not rich then someone is not old or happy and vice versa. Everyone who is wise or curious is not quiet. Everyone who is quiet is either strong or not humble. If alice is not curious then someone is both kind and not calm. Everyone who is both wise and not kind is old or kind and vice versa. Every... | Lucy is brave. | neutral | ((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((wise(X)|curious(X))=>~quiet(X)))&
(![X]:(quiet(X)=>(strong(X)<~>~humble(X))))&
((~curious(alice))=>(?[X]:((kind(X)&~calm(X)))))&
(![X]:((wise(X)&~kind(X))<=>(old(X)|kind(X))))&
(![X]:((creative(X)&humble(X))=>~old(X)))&
((?[X]:((~tall(X)|quiet(X))))=... | brave(lucy) | [] | null | 0 |
If fred is either wise or patient then john is either kind or not old and vice versa.
Everyone who is both patient and not humble is both not humble and not curious and vice versa.
If john is curious then someone is not creative or funny and vice versa.
Everyone who is either not tall or brave is not curious or not str... | Paul is not happy. | entailment | (((wise(fred)<~>patient(fred)))<=>((kind(john)<~>~old(john))))&
(![X]:((patient(X)&~humble(X))<=>(~humble(X)&~curious(X))))&
((curious(john))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((~tall(X)<~>brave(X))<=>(~curious(X)|~strong(X))))&
(![X]:((happy(X)<~>rich(X))<=>(~patient(X)|rich(X))))&
(((strong(fred)&wise(fred))... | ~happy(paul) | [
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7609792495924048281609790
% SZS output start Proof for 7609792495924048281609790
5. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (rich(X0) | ~patient(X0))) [input p4]
8. ! [X0] : (~patient(X0) => (kind(X0) & funny(X0))) [input p7]
10. ! [X0] : (kind(X0) <=> (funny(X0) & ~rich(X0))) [input p9]
1... | 0 |
Everyone who is both humble and not calm is either not calm or strong.
Everyone who is not calm or rich is not wise or creative and vice versa.
If someone is both not happy and not rich then john is either not quiet or not strong.
If someone is both not strong and old then john is tall and vice versa.
If someone is tal... | Mary is not generous. | neutral | (![X]:((humble(X)&~calm(X))=>(~calm(X)<~>strong(X))))&
(![X]:((~calm(X)|rich(X))<=>(~wise(X)|creative(X))))&
((?[X]:((~happy(X)&~rich(X))))=>((~quiet(john)<~>~strong(john))))&
((?[X]:((~strong(X)&old(X))))<=>(tall(john)))&
((?[X]:((tall(X)|~generous(X))))<=>(?[X]:(curious(X))))&
(((brave(alice)<~>calm(alice)))<=>(?[X]:... | ~generous(mary) | [] | null | 0 |
Everyone who is not creative or not kind is both curious and old and vice versa. If lucy is strong then mary is both not rich and brave and vice versa. Everyone who is either not curious or not tall is either patient or tall. Everyone who is not brave or not curious is tall. Everyone who is both not calm and strong is ... | Lucy is not old. | entailment | (![X]:((~creative(X)|~kind(X))<=>(curious(X)&old(X))))&
((strong(lucy))<=>((~rich(mary)&brave(mary))))&
(![X]:((~curious(X)<~>~tall(X))=>(patient(X)<~>tall(X))))&
(![X]:((~brave(X)|~curious(X))=>tall(X)))&
(![X]:((~calm(X)&strong(X))=>(~generous(X)<~>~patient(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>((wise(mary)<~>calm(... | ~old(lucy) | [
"p2",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 738301200382385103498354
% SZS output start Proof for 738301200382385103498354
3. ! [X0] : ((~curious(X0) <~> ~tall(X0)) => (patient(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((~curious(X0) | ~brave(X0)) => tall(X0)) [input p3]
15. ! [X0] : ((happy(X0) | patient(X0)) => (~brave(X0) & crea... | 0 |
Everyone who is not old or wise is not tall or happy and vice versa.
Everyone who is both not happy and patient is both generous and not happy.
Everyone who is either not wise or humble is both not kind and not brave.
Everyone who is either brave or old is both not kind and strong and vice versa.
Everyone who is funny ... | Mary is not generous. | neutral | (![X]:((~old(X)|wise(X))<=>(~tall(X)|happy(X))))&
(![X]:((~happy(X)&patient(X))=>(generous(X)&~happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)&~brave(X))))&
(![X]:((brave(X)<~>old(X))<=>(~kind(X)&strong(X))))&
(![X]:(funny(X)=>(~patient(X)|~old(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((brave(X)&funny(X))<=>(... | ~generous(mary) | [] | null | 0 |
Everyone who is both patient and not funny is either calm or kind.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is either not tall or patient.
If john is both not curious and not happy then someone is not calm or strong and vice versa.
Everyone who is either not tall or p... | Mary is rich. | contradiction | (![X]:((patient(X)&~funny(X))=>(calm(X)<~>kind(X))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~calm(X)|strong(X)))))&
(![X]:((~tall(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)<=>(curious(X)|rich(X))))&
((?[X]:((~... | rich(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4596450111819861650519451
% SZS output start Proof for 4596450111819861650519451
1. ! [X0] : ((~funny(X0) & patient(X0)) => (calm(X0) <~> kind(X0))) [input p0]
2. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p1]
3. ? [X0] : tall(X0) => (~tall(lucy) <~> patient(lu... | 0 |
Everyone who is either brave or curious is both old and not calm and vice versa. If someone is either wise or not strong then alice is either not kind or quiet and vice versa. Everyone who is curious is tall or strong and vice versa. Everyone who is not funny or not generous is not strong and vice versa. Everyone who i... | John is not funny. | contradiction | (![X]:((brave(X)<~>curious(X))<=>(old(X)&~calm(X))))&
((?[X]:((wise(X)<~>~strong(X))))<=>((~kind(alice)<~>quiet(alice))))&
(![X]:(curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[... | ~funny(john) | [
"p2",
"p3",
"p4",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6057491839340119396965160
% SZS output start Proof for 6057491839340119396965160
3. ! [X0] : (curious(X0) <=> (strong(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> ~strong(X0)) [input p3]
5. ! [X0] : (~quiet(X0) => (~humble(X0) <~> curious(X0))) [input p4]
6. !... | 0 |
Everyone who is happy or not patient is not humble and vice versa.
If someone is creative then alice is strong and vice versa.
If lucy is not wise or generous then john is curious and vice versa.
If paul is not tall or tall then paul is not wise or happy.
If someone is not tall then susan is not old or not generous.
Ev... | Paul is humble. | contradiction | (![X]:((happy(X)|~patient(X))<=>~humble(X)))&
((?[X]:(creative(X)))<=>(strong(alice)))&
(((~wise(lucy)|generous(lucy)))<=>(curious(john)))&
(((~tall(paul)|tall(paul)))=>((~wise(paul)|happy(paul))))&
((?[X]:(~tall(X)))=>((~old(susan)|~generous(susan))))&
(![X]:((humble(X)<~>tall(X))<=>(~generous(X)&~strong(X))))&
(![X]:... | humble(paul) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6079667830715218103675816
% SZS output start Proof for 6079667830715218103675816
1. ! [X0] : ((~patient(X0) | happy(X0)) <=> ~humble(X0)) [input p0]
7. ! [X0] : (~humble(X0) <=> ~brave(X0)) [input p6]
12. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~patient(X0)) [input p11]
24. humble(paul) [i... | 0 |
Everyone who is wise or not wise is patient and vice versa.
Everyone who is not kind is not rich.
If john is both not rich and quiet then someone is both not funny and creative and vice versa.
Everyone who is both kind and happy is either not wise or old and vice versa.
Everyone who is not funny is both tall and not br... | Mary is not funny. | neutral | (![X]:((wise(X)|~wise(X))<=>patient(X)))&
(![X]:(~kind(X)=>~rich(X)))&
(((~rich(john)&quiet(john)))<=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((kind(X)&happy(X))<=>(~wise(X)<~>old(X))))&
(![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((calm(X)&curious(X))=>(~humble(X)|~funny(X))))&
(![X]:((kind(X)&curious(X))=>~creati... | ~funny(mary) | [] | null | 0 |
Everyone who is patient or not humble is both not old and not quiet and vice versa. If someone is both strong and rich then someone is not quiet or old and vice versa. If paul is strong then lucy is either quiet or not wise. Everyone who is calm is happy and vice versa. Everyone who is kind is not creative or not old a... | Alice is not calm. | entailment | (![X]:((patient(X)|~humble(X))<=>(~old(X)&~quiet(X))))&
((?[X]:((strong(X)&rich(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
((strong(paul))=>((quiet(lucy)<~>~wise(lucy))))&
(![X]:(calm(X)<=>happy(X)))&
(![X]:(kind(X)<=>(~creative(X)|~old(X))))&
((?[X]:((~rich(X)<~>wise(X))))=>((~strong(alice)<~>~funny(alice))))&
(((kind(lucy... | ~calm(alice) | [
"p0",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2398718945361325307273265
% SZS output start Proof for 2398718945361325307273265
1. ! [X0] : ((~humble(X0) | patient(X0)) <=> (~quiet(X0) & ~old(X0))) [input p0]
9. ! [X0] : ((patient(X0) | calm(X0)) => (quiet(X0) & ~old(X0))) [input p8]
10. ! [X0] : (brave(X0) <=> (~strong(X0) | ~patient... | 0 |
Everyone who is both funny and not brave is patient and vice versa. Everyone who is tall is not patient or not brave and vice versa. If john is not quiet then someone is not brave or tall. If someone is not creative or humble then paul is both not calm and not patient. Everyone who is strong or humble is not quiet or c... | Paul is brave. | neutral | (![X]:((funny(X)&~brave(X))<=>patient(X)))&
(![X]:(tall(X)<=>(~patient(X)|~brave(X))))&
((~quiet(john))=>(?[X]:((~brave(X)|tall(X)))))&
((?[X]:((~creative(X)|humble(X))))=>((~calm(paul)&~patient(paul))))&
(![X]:((strong(X)|humble(X))<=>(~quiet(X)|curious(X))))&
(((~old(john)|patient(john)))=>(?[X]:((brave(X)&old(X)))))... | brave(paul) | [] | null | 0 |
If someone is both strong and not creative then someone is either not calm or patient.
Everyone who is not old is not kind or not tall.
Everyone who is both not quiet and not funny is funny or wise and vice versa.
Everyone who is either happy or not quiet is either not funny or creative.
Everyone who is either quiet or... | Paul is humble. | neutral | ((?[X]:((strong(X)&~creative(X))))=>(?[X]:((~calm(X)<~>patient(X)))))&
(![X]:(~old(X)=>(~kind(X)|~tall(X))))&
(![X]:((~quiet(X)&~funny(X))<=>(funny(X)|wise(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(~funny(X)<~>creative(X))))&
(![X]:((quiet(X)<~>~creative(X))=>(calm(X)|~funny(X))))&
(![X]:((strong(X)<~>funny(X))=>(rich(X)&... | humble(paul) | [] | null | 0 |
If someone is not rich then someone is old and vice versa. If someone is tall then someone is generous or calm and vice versa. Everyone who is brave is not patient or not wise. Everyone who is either generous or old is both rich and creative. Everyone who is kind is either kind or rich and vice versa. Everyone who is s... | Mary is not wise. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:(old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((generous(X)|calm(X)))))&
(![X]:(brave(X)=>(~patient(X)|~wise(X))))&
(![X]:((generous(X)<~>old(X))=>(rich(X)&creative(X))))&
(![X]:(kind(X)<=>(kind(X)<~>rich(X))))&
(![X]:(strong(X)=>(~kind(X)<~>~quiet(X))))&
(![X]:((quiet(X)&wise(X))=>(humble(X)&~kind(X... | ~wise(mary) | [] | null | 0 |
If lucy is both quiet and humble then someone is kind or not creative.
Everyone who is generous or not wise is not happy.
Everyone who is not old or not wise is old and vice versa.
If mary is both not kind and strong then fred is either not quiet or quiet and vice versa.
Everyone who is not humble or happy is not kind ... | Alice is not wise. | entailment | (((quiet(lucy)&humble(lucy)))=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((generous(X)|~wise(X))=>~happy(X)))&
(![X]:((~old(X)|~wise(X))<=>old(X)))&
(((~kind(mary)&strong(mary)))<=>((~quiet(fred)<~>quiet(fred))))&
(![X]:((~humble(X)|happy(X))<=>~kind(X)))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:((~generous(X)<~>~happy(X... | ~wise(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2933940761377994671933249
% SZS output start Proof for 2933940761377994671933249
3. ! [X0] : ((~wise(X0) | ~old(X0)) <=> old(X0)) [input p2]
24. wise(alice) [input hypothesis]
43. ! [X0] : (((~wise(X0) | ~old(X0)) | ~old(X0)) & (old(X0) | (wise(X0) & old(X0)))) [nnf transformation 3]
44. ... | 0 |
If john is either not generous or not happy then lucy is both not rich and generous.
Everyone who is either quiet or brave is either tall or wise and vice versa.
If someone is not tall then someone is strong or not brave.
Everyone who is either old or not curious is both old and calm.
If paul is tall then lucy is both ... | Fred is not old. | neutral | (((~generous(john)<~>~happy(john)))=>((~rich(lucy)&generous(lucy))))&
(![X]:((quiet(X)<~>brave(X))<=>(tall(X)<~>wise(X))))&
((?[X]:(~tall(X)))=>(?[X]:((strong(X)|~brave(X)))))&
(![X]:((old(X)<~>~curious(X))=>(old(X)&calm(X))))&
((tall(paul))<=>((~wise(lucy)&generous(lucy))))&
(![X]:((tall(X)<~>~old(X))<=>(happy(X)<~>~c... | ~old(fred) | [] | null | 0 |
Everyone who is funny is calm or tall and vice versa.
Everyone who is both wise and tall is not brave and vice versa.
Everyone who is either kind or not wise is kind and vice versa.
If alice is patient or not creative then paul is both happy and calm and vice versa.
Everyone who is not happy or calm is both old and not... | Mary is not creative. | neutral | (![X]:(funny(X)<=>(calm(X)|tall(X))))&
(![X]:((wise(X)&tall(X))<=>~brave(X)))&
(![X]:((kind(X)<~>~wise(X))<=>kind(X)))&
(((patient(alice)|~creative(alice)))<=>((happy(paul)&calm(paul))))&
(![X]:((~happy(X)|calm(X))=>(old(X)&~humble(X))))&
(![X]:((funny(X)<~>~rich(X))<=>(~creative(X)<~>generous(X))))&
((?[X]:((calm(X)|~... | ~creative(mary) | [] | null | 0 |
If someone is either not funny or not kind then someone is either creative or not kind and vice versa. Everyone who is both not happy and creative is both not creative and not happy and vice versa. If someone is either not creative or rich then alice is not wise or not kind and vice versa. If john is not humble or gene... | Paul is not patient. | entailment | ((?[X]:((~funny(X)<~>~kind(X))))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((~creative(X)<~>rich(X))))<=>((~wise(alice)|~kind(alice))))&
(((~humble(john)|generous(john)))=>(humble(mary)))&
(![X]:((~patient(X)<~>calm(X))<=>(kind(X)<~>calm(X))))&
((~patient(... | ~patient(paul) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 696484176365390613869134
% SZS output start Proof for 696484176365390613869134
1. ? [X0] : (~funny(X0) <~> ~kind(X0)) <=> ? [X0] : (creative(X0) <~> ~kind(X0)) [input p0]
5. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> (kind(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) & wise(X0)) ... | 0 |
Everyone who is wise or creative is either happy or not brave and vice versa.
Everyone who is either not humble or curious is kind and vice versa.
Everyone who is either not curious or strong is not creative and vice versa.
If john is creative or not patient then alice is either calm or not brave and vice versa.
If som... | Alice is not old. | neutral | (![X]:((wise(X)|creative(X))<=>(happy(X)<~>~brave(X))))&
(![X]:((~humble(X)<~>curious(X))<=>kind(X)))&
(![X]:((~curious(X)<~>strong(X))<=>~creative(X)))&
(((creative(john)|~patient(john)))<=>((calm(alice)<~>~brave(alice))))&
((?[X]:((strong(X)<~>~old(X))))<=>((~humble(alice)&brave(alice))))&
(((~generous(john)&~humble(... | ~old(alice) | [] | null | 0 |
Everyone who is creative or quiet is either not strong or wise and vice versa. Everyone who is either generous or patient is tall or not brave and vice versa. If paul is not rich or not tall then someone is either calm or not kind. If someone is kind or humble then fred is brave or tall and vice versa. Everyone who is ... | Susan is creative. | contradiction | (![X]:((creative(X)|quiet(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((generous(X)<~>patient(X))<=>(tall(X)|~brave(X))))&
(((~rich(paul)|~tall(paul)))=>(?[X]:((calm(X)<~>~kind(X)))))&
((?[X]:((kind(X)|humble(X))))<=>((brave(fred)|tall(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~humble(X)&~curious(X))))&
(![X]:((generous(X)&... | creative(susan) | [
"p0",
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8907566150124957508770513
% SZS output start Proof for 8907566150124957508770513
1. ! [X0] : ((quiet(X0) | creative(X0)) <=> (~strong(X0) <~> wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> (~curious(X0) & ~humble(X0))) [input p4]
7. (~brave(susan) <~> ~wise(susan)) <=> ... | 0 |
Everyone who is not tall or funny is both calm and wise and vice versa.
Everyone who is not patient is not strong.
If someone is not kind then someone is calm or old and vice versa.
Everyone who is not rich is generous or patient and vice versa.
Everyone who is not patient is not happy.
Everyone who is not generous is ... | Susan is old. | neutral | (![X]:((~tall(X)|funny(X))<=>(calm(X)&wise(X))))&
(![X]:(~patient(X)=>~strong(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((calm(X)|old(X)))))&
(![X]:(~rich(X)<=>(generous(X)|patient(X))))&
(![X]:(~patient(X)=>~happy(X)))&
(![X]:(~generous(X)=>(rich(X)&humble(X))))&
(![X]:((~kind(X)&old(X))<=>(rich(X)|brave(X))))&
(![X]:(~old(X)<... | old(susan) | [] | null | 0 |
If susan is either not curious or funny then someone is either not rich or old. Everyone who is either kind or quiet is not rich or tall. Everyone who is not quiet is not kind. If john is quiet then someone is both funny and wise and vice versa. If alice is curious or not happy then someone is either calm or strong. Ev... | John is not strong. | contradiction | (((~curious(susan)<~>funny(susan)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((kind(X)<~>quiet(X))=>(~rich(X)|tall(X))))&
(![X]:(~quiet(X)=>~kind(X)))&
((quiet(john))<=>(?[X]:((funny(X)&wise(X)))))&
(((curious(alice)|~happy(alice)))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((quiet(X)|~strong(X))=>(~rich(X)<~>~calm(X))))&
(... | ~strong(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8941670523131803622885307
% SZS output start Proof for 8941670523131803622885307
14. ! [X0] : ((strong(X0) | ~patient(X0)) <=> patient(X0)) [input p13]
24. ~strong(john) [input hypothesis]
56. ! [X0] : (((strong(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (~strong(X0) & patient(X... | 0 |
Everyone who is not patient is either happy or not tall.
If paul is old or curious then mary is wise or kind and vice versa.
If someone is not creative or brave then alice is both not quiet and tall.
Everyone who is either happy or brave is either kind or not happy and vice versa.
If someone is generous then someone is... | Alice is not calm. | neutral | (![X]:(~patient(X)=>(happy(X)<~>~tall(X))))&
(((old(paul)|curious(paul)))<=>((wise(mary)|kind(mary))))&
((?[X]:((~creative(X)|brave(X))))=>((~quiet(alice)&tall(alice))))&
(![X]:((happy(X)<~>brave(X))<=>(kind(X)<~>~happy(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X... | ~calm(alice) | [] | null | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | Lucy is not curious. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | ~curious(lucy) | [] | null | 0 |
If lucy is kind then someone is not funny or not curious.
If someone is either old or rich then fred is old or brave and vice versa.
If someone is not funny then someone is either not calm or tall.
Everyone who is either generous or not strong is not wise or not funny and vice versa.
If someone is both strong and creat... | Lucy is quiet. | neutral | ((kind(lucy))=>(?[X]:((~funny(X)|~curious(X)))))&
((?[X]:((old(X)<~>rich(X))))<=>((old(fred)|brave(fred))))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((generous(X)<~>~strong(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((strong(X)&creative(X))))<=>(~calm(fred)))&
((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~ki... | quiet(lucy) | [] | null | 0 |
Everyone who is not patient is creative or not generous and vice versa.
Everyone who is both not brave and not creative is not wise and vice versa.
Everyone who is humble or not tall is tall or not creative and vice versa.
Everyone who is both not humble and not rich is not wise and vice versa.
If lucy is funny or not ... | Alice is creative. | contradiction | (![X]:(~patient(X)<=>(creative(X)|~generous(X))))&
(![X]:((~brave(X)&~creative(X))<=>~wise(X)))&
(![X]:((humble(X)|~tall(X))<=>(tall(X)|~creative(X))))&
(![X]:((~humble(X)&~rich(X))<=>~wise(X)))&
(((funny(lucy)|~wise(lucy)))<=>((~quiet(paul)&brave(paul))))&
(![X]:((~funny(X)<~>tall(X))=>(strong(X)|~patient(X))))&
(![X]... | creative(alice) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4331008773928650541341261
% SZS output start Proof for 4331008773928650541341261
3. ! [X0] : ((~tall(X0) | humble(X0)) <=> (~creative(X0) | tall(X0))) [input p2]
7. ! [X0] : ((~tall(X0) & happy(X0)) <=> (tall(X0) | ~brave(X0))) [input p6]
25. creative(alice) [input hypothesis]
41. ! [X0] ... | 0 |
Everyone who is brave or strong is either not kind or creative. If susan is either not calm or curious then someone is not strong. Everyone who is rich is both not curious and not brave and vice versa. Everyone who is either not kind or not tall is either not strong or humble and vice versa. Everyone who is humble or n... | John is generous. | contradiction | (![X]:((brave(X)|strong(X))=>(~kind(X)<~>creative(X))))&
(((~calm(susan)<~>curious(susan)))=>(?[X]:(~strong(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((~kind(X)<~>~tall(X))<=>(~strong(X)<~>humble(X))))&
(![X]:((humble(X)|~wise(X))=>(~generous(X)&funny(X))))&
(((~quiet(paul)|~kind(paul)))<=>(?[X]:((tall(X... | generous(john) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8418944717729041037635390
% SZS output start Proof for 8418944717729041037635390
3. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p2]
4. ! [X0] : ((~kind(X0) <~> ~tall(X0)) <=> (~strong(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((~wise(X0) | humble(X0)) => (funny(X0) & ~gen... | 0 |
Everyone who is either not old or rich is either not happy or not quiet and vice versa.
Everyone who is both curious and not strong is either not calm or strong.
Everyone who is either not strong or curious is either not wise or quiet.
Everyone who is not curious or curious is both curious and not old.
Everyone who is ... | John is quiet. | neutral | (![X]:((~old(X)<~>rich(X))<=>(~happy(X)<~>~quiet(X))))&
(![X]:((curious(X)&~strong(X))=>(~calm(X)<~>strong(X))))&
(![X]:((~strong(X)<~>curious(X))=>(~wise(X)<~>quiet(X))))&
(![X]:((~curious(X)|curious(X))=>(curious(X)&~old(X))))&
(![X]:((strong(X)<~>~old(X))<=>~rich(X)))&
(![X]:((quiet(X)|~curious(X))<=>(quiet(X)|~gene... | quiet(john) | [] | null | 0 |
Everyone who is patient or not kind is either funny or strong and vice versa. If someone is not funny or patient then paul is tall or not creative and vice versa. If someone is either not wise or not humble then someone is both not brave and not generous. If someone is not wise or wise then someone is brave or old and ... | Alice is not creative. | contradiction | (![X]:((patient(X)|~kind(X))<=>(funny(X)<~>strong(X))))&
((?[X]:((~funny(X)|patient(X))))<=>((tall(paul)|~creative(paul))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:((~brave(X)&~generous(X)))))&
((?[X]:((~wise(X)|wise(X))))<=>(?[X]:((brave(X)|old(X)))))&
(![X]:(brave(X)=>~old(X)))&
(![X]:((generous(X)<~>~rich(X))=>(~s... | ~creative(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2454142023809115543561653
% SZS output start Proof for 2454142023809115543561653
12. ! [X0] : (~rich(X0) <=> (~creative(X0) <~> ~rich(X0))) [input p11]
25. ~creative(alice) [input hypothesis]
66. ! [X0] : ((~rich(X0) | ((~creative(X0) | rich(X0)) & (~rich(X0) | creative(X0)))) & (((rich(X... | 0 |
Everyone who is humble is either not curious or not quiet and vice versa.
Everyone who is not calm is not quiet or tall and vice versa.
Everyone who is humble is both creative and kind and vice versa.
If someone is not happy then susan is either brave or rich and vice versa.
Everyone who is calm or not humble is not ha... | Paul is not rich. | neutral | (![X]:(humble(X)<=>(~curious(X)<~>~quiet(X))))&
(![X]:(~calm(X)<=>(~quiet(X)|tall(X))))&
(![X]:(humble(X)<=>(creative(X)&kind(X))))&
((?[X]:(~happy(X)))<=>((brave(susan)<~>rich(susan))))&
(![X]:((calm(X)|~humble(X))<=>(~happy(X)|~curious(X))))&
(![X]:((~old(X)|~quiet(X))<=>~brave(X)))&
(![X]:(old(X)<=>patient(X)))&
(![... | ~rich(paul) | [] | null | 0 |
Everyone who is both creative and not curious is not kind and vice versa.
Everyone who is both curious and brave is funny or patient and vice versa.
Everyone who is either not creative or not brave is both not funny and not brave and vice versa.
If paul is both creative and not happy then mary is not old or not calm.
E... | Fred is not kind. | contradiction | (![X]:((creative(X)&~curious(X))<=>~kind(X)))&
(![X]:((curious(X)&brave(X))<=>(funny(X)|patient(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~funny(X)&~brave(X))))&
(((creative(paul)&~happy(paul)))=>((~old(mary)|~calm(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(creative(X)&~wise(X))))&
((?[X]:((happy(X)|~humble(X))))=>(c... | ~kind(fred) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1157781114070382931392680
% SZS output start Proof for 1157781114070382931392680
1. ! [X0] : ((~curious(X0) & creative(X0)) <=> ~kind(X0)) [input p0]
2. ! [X0] : ((brave(X0) & curious(X0)) <=> (patient(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> ~brave(X0)) <=> (~brave(X0... | 0 |
Everyone who is not happy is not creative or not funny.
If fred is both patient and brave then susan is not kind or not generous and vice versa.
If someone is either happy or not rich then someone is not quiet or not happy and vice versa.
Everyone who is both kind and not rich is either wise or not rich.
Everyone who i... | Lucy is not patient. | entailment | (![X]:(~happy(X)=>(~creative(X)|~funny(X))))&
(((patient(fred)&brave(fred)))<=>((~kind(susan)|~generous(susan))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((~quiet(X)|~happy(X)))))&
(![X]:((kind(X)&~rich(X))=>(wise(X)<~>~rich(X))))&
(![X]:((~patient(X)<~>strong(X))=>funny(X)))&
(![X]:(old(X)=>(humble(X)<~>calm(X))))&
(... | ~patient(lucy) | [
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2840041924066207535865835
% SZS output start Proof for 2840041924066207535865835
8. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~brave(X0)) [input p7]
14. ! [X0] : ((~brave(X0) | ~tall(X0)) => (calm(X0) & ~brave(X0))) [input p13]
15. ! [X0] : ((~patient(X0) | ~calm(X0)) <=> (generous(X0) | ~ge... | 0 |
Everyone who is not old is not quiet and vice versa.
Everyone who is either not strong or not old is either tall or happy.
Everyone who is both brave and not kind is either not brave or generous and vice versa.
Everyone who is either tall or patient is both not old and not funny and vice versa.
Everyone who is either c... | John is not creative. | contradiction | (![X]:(~old(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>~old(X))=>(tall(X)<~>happy(X))))&
(![X]:((brave(X)&~kind(X))<=>(~brave(X)<~>generous(X))))&
(![X]:((tall(X)<~>patient(X))<=>(~old(X)&~funny(X))))&
(![X]:((creative(X)<~>~wise(X))=>patient(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~tall(X)&~wise(X)))))&
((~funny(mary))<=>((~k... | ~creative(john) | [
"p0",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1572431166401940105851295
% SZS output start Proof for 1572431166401940105851295
1. ! [X0] : (~old(X0) <=> ~quiet(X0)) [input p0]
10. ! [X0] : ((old(X0) | calm(X0)) <=> (~rich(X0) & humble(X0))) [input p9]
14. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~tall(X0) & ~humble(X0))) [input p13]... | 0 |
If someone is either not patient or not creative then someone is not tall.
Everyone who is not strong or not calm is either old or generous.
If fred is either kind or not happy then mary is not patient or not funny and vice versa.
If someone is not strong then someone is not old.
Everyone who is not strong is either ol... | Fred is kind. | contradiction | ((?[X]:((~patient(X)<~>~creative(X))))=>(?[X]:(~tall(X))))&
(![X]:((~strong(X)|~calm(X))=>(old(X)<~>generous(X))))&
(((kind(fred)<~>~happy(fred)))<=>((~patient(mary)|~funny(mary))))&
((?[X]:(~strong(X)))=>(?[X]:(~old(X))))&
(![X]:(~strong(X)<=>(old(X)<~>~rich(X))))&
(![X]:((brave(X)|quiet(X))<=>kind(X)))&
(![X]:((~tall... | kind(fred) | [
"p5",
"p6",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5760995312597276796920921
% SZS output start Proof for 5760995312597276796920921
6. ! [X0] : ((quiet(X0) | brave(X0)) <=> kind(X0)) [input p5]
7. ! [X0] : ((~funny(X0) | ~tall(X0)) => ~kind(X0)) [input p6]
10. ! [X0] : (~humble(X0) <=> (kind(X0) | happy(X0))) [input p9]
12. ~wise(fred) <=... | 0 |
Everyone who is not humble is either calm or not strong.
Everyone who is not brave is not kind and vice versa.
Everyone who is not old or not curious is either not old or curious.
Everyone who is either brave or patient is either happy or calm.
If lucy is both not kind and not happy then someone is not rich or calm and... | Susan is not funny. | contradiction | (![X]:(~humble(X)=>(calm(X)<~>~strong(X))))&
(![X]:(~brave(X)<=>~kind(X)))&
(![X]:((~old(X)|~curious(X))=>(~old(X)<~>curious(X))))&
(![X]:((brave(X)<~>patient(X))=>(happy(X)<~>calm(X))))&
(((~kind(lucy)&~happy(lucy)))<=>(?[X]:((~rich(X)|calm(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((patient(X)<~>strong(X))<=>(wise(... | ~funny(susan) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6713347795141868220881467
% SZS output start Proof for 6713347795141868220881467
2. ! [X0] : (~brave(X0) <=> ~kind(X0)) [input p1]
5. (~happy(lucy) & ~kind(lucy)) <=> ? [X0] : (calm(X0) | ~rich(X0)) [input p4]
9. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (kind(X0) & ~funny(X0))) [input p8]
2... | 0 |
If someone is both tall and funny then someone is either strong or happy. If someone is not kind or curious then someone is not curious or not humble and vice versa. If paul is either not kind or wise then someone is both not old and creative and vice versa. Everyone who is either not wise or old is calm or kind. Every... | Susan is not brave. | entailment | ((?[X]:((tall(X)&funny(X))))=>(?[X]:((strong(X)<~>happy(X)))))&
((?[X]:((~kind(X)|curious(X))))<=>(?[X]:((~curious(X)|~humble(X)))))&
(((~kind(paul)<~>wise(paul)))<=>(?[X]:((~old(X)&creative(X)))))&
(![X]:((~wise(X)<~>old(X))=>(calm(X)|kind(X))))&
(![X]:((~humble(X)&rich(X))=>brave(X)))&
(((~rich(susan)&generous(susan)... | ~brave(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 607160263705188766364983
% SZS output start Proof for 607160263705188766364983
24. ~brave(susan) [input p23]
25. brave(susan) [input hypothesis]
154. ~brave(susan) [cnf transformation 24]
155. brave(susan) [cnf transformation 25]
419. $false [subsumption resolution 155,154]
% SZS output e... | 0 |
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is not happy then mary is not happy.... | Mary is not old. | entailment | (((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~happy... | ~old(mary) | [
"p1",
"p3",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4105962554722278249716770
% SZS output start Proof for 4105962554722278249716770
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p3]
7. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (~curious(X0) | quiet(X0))) [input ... | 0 |
If paul is not patient then paul is either not old or not funny.
Everyone who is either wise or brave is old and vice versa.
If someone is both calm and old then susan is either not strong or curious and vice versa.
If john is both happy and not brave then paul is either not tall or not quiet and vice versa.
Everyone w... | John is not old. | contradiction | ((~patient(paul))=>((~old(paul)<~>~funny(paul))))&
(![X]:((wise(X)<~>brave(X))<=>old(X)))&
((?[X]:((calm(X)&old(X))))<=>((~strong(susan)<~>curious(susan))))&
(((happy(john)&~brave(john)))<=>((~tall(paul)<~>~quiet(paul))))&
(![X]:(~calm(X)=>(brave(X)&kind(X))))&
((?[X]:(~wise(X)))=>((kind(alice)&~kind(alice))))&
((?[X]:... | ~old(john) | [
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5550549278527093534236511
% SZS output start Proof for 5550549278527093534236511
2. ! [X0] : ((wise(X0) <~> brave(X0)) <=> old(X0)) [input p1]
6. ? [X0] : ~wise(X0) => (~kind(alice) & kind(alice)) [input p5]
8. ! [X0] : (brave(X0) => ~brave(X0)) [input p7]
24. ~old(john) [input hypothesis... | 0 |
Everyone who is strong or not rich is not generous and vice versa.
Everyone who is calm is either not strong or humble and vice versa.
Everyone who is either generous or not rich is both old and kind and vice versa.
Everyone who is generous or kind is strong and vice versa.
Everyone who is not patient or humble is funn... | Susan is not patient. | contradiction | (![X]:((strong(X)|~rich(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~strong(X)<~>humble(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(old(X)&kind(X))))&
(![X]:((generous(X)|kind(X))<=>strong(X)))&
(![X]:((~patient(X)|humble(X))<=>funny(X)))&
((?[X]:((creative(X)&old(X))))=>(?[X]:((old(X)&creative(X)))))&
(![X]:((generous(X)|ha... | ~patient(susan) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6154002479641761111128430
% SZS output start Proof for 6154002479641761111128430
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [input p2]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> strong(X0)) [input... | 0 |
Everyone who is both not quiet and not strong is both calm and kind. If alice is both quiet and creative then john is both calm and tall. If lucy is both not humble and curious then paul is not patient and vice versa. If mary is both not creative and old then lucy is either not tall or generous. Everyone who is both no... | Alice is humble. | entailment | (![X]:((~quiet(X)&~strong(X))=>(calm(X)&kind(X))))&
(((quiet(alice)&creative(alice)))=>((calm(john)&tall(john))))&
(((~humble(lucy)&curious(lucy)))<=>(~patient(paul)))&
(((~creative(mary)&old(mary)))=>((~tall(lucy)<~>generous(lucy))))&
(![X]:((~quiet(X)&~creative(X))<=>(tall(X)&kind(X))))&
(((old(lucy)&~rich(lucy)))<=>... | humble(alice) | [
"p9",
"p10",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6305496983606453330283619
% SZS output start Proof for 6305496983606453330283619
10. ! [X0] : ((brave(X0) | calm(X0)) <=> (~patient(X0) <~> rich(X0))) [input p9]
11. ! [X0] : (~rich(X0) => (tall(X0) & brave(X0))) [input p10]
12. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~rich(X0) | kind(X... | 0 |
If someone is not happy then fred is strong. If susan is both calm and happy then mary is both old and patient. Everyone who is not generous or calm is not kind. Everyone who is not creative is patient or not curious and vice versa. If lucy is not curious or happy then someone is generous. Everyone who is either not st... | Paul is not curious. | entailment | ((?[X]:(~happy(X)))=>(strong(fred)))&
(((calm(susan)&happy(susan)))=>((old(mary)&patient(mary))))&
(![X]:((~generous(X)|calm(X))=>~kind(X)))&
(![X]:(~creative(X)<=>(patient(X)|~curious(X))))&
(((~curious(lucy)|happy(lucy)))=>(?[X]:(generous(X))))&
(![X]:((~strong(X)<~>curious(X))=>~strong(X)))&
((?[X]:((~generous(X)<~>... | ~curious(paul) | [
"p5",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3011540609220137720267803
% SZS output start Proof for 3011540609220137720267803
6. ! [X0] : ((~strong(X0) <~> curious(X0)) => ~strong(X0)) [input p5]
14. ! [X0] : ((~patient(X0) <~> strong(X0)) <=> (~strong(X0) <~> strong(X0))) [input p13]
18. patient(paul) [input p17]
24. curious(paul) ... | 0 |
If paul is not strong or quiet then paul is both not strong and not quiet and vice versa.
If lucy is creative or happy then alice is both kind and not tall and vice versa.
If someone is both curious and not happy then mary is not kind and vice versa.
If someone is rich or not tall then lucy is either funny or not rich ... | Alice is funny. | entailment | (((~strong(paul)|quiet(paul)))<=>((~strong(paul)&~quiet(paul))))&
(((creative(lucy)|happy(lucy)))<=>((kind(alice)&~tall(alice))))&
((?[X]:((curious(X)&~happy(X))))<=>(~kind(mary)))&
((?[X]:((rich(X)|~tall(X))))<=>((funny(lucy)<~>~rich(lucy))))&
(((~kind(alice)|~happy(alice)))=>(wise(paul)))&
(![X]:((~quiet(X)|~funny(X)... | funny(alice) | [
"p9",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5577369262158031314320999
% SZS output start Proof for 5577369262158031314320999
10. ! [X0] : ((~funny(X0) & old(X0)) => (~wise(X0) & ~patient(X0))) [input p9]
13. ! [X0] : (~old(X0) => funny(X0)) [input p12]
20. ~tall(alice) & patient(alice) [input p19]
25. ~funny(alice) [input hypothesi... | 0 |
If someone is both not rich and happy then john is either not humble or not patient and vice versa.
Everyone who is both wise and not strong is quiet.
If lucy is either not quiet or curious then alice is either brave or old and vice versa.
Everyone who is humble or creative is both patient and not kind and vice versa.
... | Fred is not rich. | contradiction | ((?[X]:((~rich(X)&happy(X))))<=>((~humble(john)<~>~patient(john))))&
(![X]:((wise(X)&~strong(X))=>quiet(X)))&
(((~quiet(lucy)<~>curious(lucy)))<=>((brave(alice)<~>old(alice))))&
(![X]:((humble(X)|creative(X))<=>(patient(X)&~kind(X))))&
((~wise(alice))<=>(?[X]:(wise(X))))&
(![X]:(~kind(X)<=>(happy(X)<~>~calm(X))))&
(![X... | ~rich(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8538643165179427159178554
% SZS output start Proof for 8538643165179427159178554
12. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> (~kind(X0) & kind(X0))) [input p11]
20. ~rich(fred) [input hypothesis]
51. ! [X0] : (((~brave(X0) | ~rich(X0)) | (kind(X0) | ~kind(X0))) & ((~kind(X0) & kind(X0)) | ... | 0 |
If john is funny or not funny then john is brave and vice versa. Everyone who is both quiet and generous is both not brave and not humble. Everyone who is funny is tall and vice versa. Everyone who is both curious and not humble is happy or not tall and vice versa. Everyone who is tall or kind is old. If lucy is not br... | Paul is not generous. | entailment | (((funny(john)|~funny(john)))<=>(brave(john)))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X)&~humble(X))<=>(happy(X)|~tall(X))))&
(![X]:((tall(X)|kind(X))=>old(X)))&
((~brave(lucy))=>((old(john)|strong(john))))&
(![X]:((~old(X)|~strong(X))<=>(funny(X)&kind(X))... | ~generous(paul) | [
"p6",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4310446923072335768594551
% SZS output start Proof for 4310446923072335768594551
7. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (kind(X0) & funny(X0))) [input p6]
9. ! [X0] : (~generous(X0) <=> (kind(X0) | brave(X0))) [input p8]
10. ! [X0] : ((calm(X0) | strong(X0)) <=> quiet(X0)) [input p9]
1... | 0 |
Everyone who is old or not patient is calm or not rich and vice versa.
If someone is either not creative or not tall then someone is either not rich or not curious and vice versa.
If someone is both strong and wise then mary is both not humble and not generous and vice versa.
If someone is either creative or not creati... | Lucy is creative. | entailment | (![X]:((old(X)|~patient(X))<=>(calm(X)|~rich(X))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((strong(X)&wise(X))))<=>((~humble(mary)&~generous(mary))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(generous(mary)))&
(((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice... | creative(lucy) | [
"p0",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2909829467979210654137286
% SZS output start Proof for 2909829467979210654137286
1. ! [X0] : ((~patient(X0) | old(X0)) <=> (~rich(X0) | calm(X0))) [input p0]
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) => patient(X0)) [input p7]
10. ! [X0] : ((humble(X0) & wise(X0)) <=> (rich(X0) & ~tall(X0))) ... | 0 |
Everyone who is either not brave or curious is both strong and not happy. If lucy is not generous or not funny then someone is rich or not wise. If john is not curious or wise then someone is both happy and calm and vice versa. Everyone who is either not creative or not quiet is either funny or brave and vice versa. If... | Fred is not tall. | entailment | (![X]:((~brave(X)<~>curious(X))=>(strong(X)&~happy(X))))&
(((~generous(lucy)|~funny(lucy)))=>(?[X]:((rich(X)|~wise(X)))))&
(((~curious(john)|wise(john)))<=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(funny(X)<~>brave(X))))&
(((strong(mary)|calm(mary)))<=>(?[X]:((~calm(X)&generous(X)))))&
(![X]:((... | ~tall(fred) | [
"p0",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7180686255058250195450498
% SZS output start Proof for 7180686255058250195450498
1. ! [X0] : ((~brave(X0) <~> curious(X0)) => (~happy(X0) & strong(X0))) [input p0]
7. ! [X0] : (tall(X0) <=> (~old(X0) & ~brave(X0))) [input p6]
16. ! [X0] : (tall(X0) => (~curious(X0) & ~brave(X0))) [input p... | 0 |
Everyone who is either wise or rich is both not curious and happy.
If someone is not old then lucy is either creative or wise.
If alice is either not quiet or not creative then paul is calm and vice versa.
If fred is both curious and not kind then someone is both not old and rich and vice versa.
Everyone who is both no... | Lucy is strong. | contradiction | (![X]:((wise(X)<~>rich(X))=>(~curious(X)&happy(X))))&
((?[X]:(~old(X)))=>((creative(lucy)<~>wise(lucy))))&
(((~quiet(alice)<~>~creative(alice)))<=>(calm(paul)))&
(((curious(fred)&~kind(fred)))<=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((~quiet(X)&~patient(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(strong(X)<=>(~kind(X)&rich(X))... | strong(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8532708678491746690884018
% SZS output start Proof for 8532708678491746690884018
2. ? [X0] : ~old(X0) => (creative(lucy) <~> wise(lucy)) [input p1]
6. ! [X0] : (strong(X0) <=> (rich(X0) & ~kind(X0))) [input p5]
8. ! [X0] : (~tall(X0) => ~patient(X0)) [input p7]
9. ! [X0] : (~patient(X0) =... | 0 |
Everyone who is either wise or not creative is quiet.
If alice is both patient and brave then john is not generous or funny.
Everyone who is rich or humble is either strong or creative.
Everyone who is both not quiet and not tall is both generous and not humble and vice versa.
If someone is both not old and not funny t... | Mary is patient. | contradiction | (![X]:((wise(X)<~>~creative(X))=>quiet(X)))&
(((patient(alice)&brave(alice)))=>((~generous(john)|funny(john))))&
(![X]:((rich(X)|humble(X))=>(strong(X)<~>creative(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~old(X)&~funny(X))))<=>((~curious(paul)|quiet(paul))))&
(![X]:((calm(X)&brave(X))<=... | patient(mary) | [
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3714616636723259071577086
% SZS output start Proof for 3714616636723259071577086
6. ! [X0] : ((brave(X0) & calm(X0)) <=> (generous(X0) | ~funny(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> (happy(X0) | generous(X0))) [input p10]
13. ! [X0] : ((~strong(X0) & ~patient(X0)... | 0 |
If alice is strong then someone is not kind or kind. Everyone who is humble or not quiet is either tall or wise. If susan is curious then someone is strong or not brave. If alice is not kind then lucy is not curious. If susan is both rich and not quiet then paul is not brave or creative and vice versa. Everyone who is ... | Alice is kind. | neutral | ((strong(alice))=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:((humble(X)|~quiet(X))=>(tall(X)<~>wise(X))))&
((curious(susan))=>(?[X]:((strong(X)|~brave(X)))))&
((~kind(alice))=>(~curious(lucy)))&
(((rich(susan)&~quiet(susan)))<=>((~brave(paul)|creative(paul))))&
(![X]:((~funny(X)<~>calm(X))<=>(generous(X)<~>creative(X))))&
(!... | kind(alice) | [] | null | 0 |
Everyone who is not generous or curious is not brave or not strong and vice versa.
If john is both not funny and not wise then someone is humble and vice versa.
Everyone who is both not funny and kind is calm.
Everyone who is not rich or not tall is not brave or creative and vice versa.
Everyone who is either not brave... | Paul is not strong. | neutral | (![X]:((~generous(X)|curious(X))<=>(~brave(X)|~strong(X))))&
(((~funny(john)&~wise(john)))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)&kind(X))=>calm(X)))&
(![X]:((~rich(X)|~tall(X))<=>(~brave(X)|creative(X))))&
(![X]:((~brave(X)<~>humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((~kind(X)<~>rich(X)))))&
... | ~strong(paul) | [] | null | 0 |
Everyone who is not calm or generous is not rich.
Everyone who is either quiet or not happy is not humble.
If someone is not curious or generous then someone is kind or not old and vice versa.
Everyone who is quiet or wise is strong or calm and vice versa.
If lucy is not creative or quiet then john is either not strong... | John is calm. | entailment | (![X]:((~calm(X)|generous(X))=>~rich(X)))&
(![X]:((quiet(X)<~>~happy(X))=>~humble(X)))&
((?[X]:((~curious(X)|generous(X))))<=>(?[X]:((kind(X)|~old(X)))))&
(![X]:((quiet(X)|wise(X))<=>(strong(X)|calm(X))))&
(((~creative(lucy)|quiet(lucy)))=>((~strong(john)<~>happy(john))))&
(![X]:((~funny(X)&~strong(X))<=>(~kind(X)|~ric... | calm(john) | [
"p0",
"p5",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4316368735399665585147748
% SZS output start Proof for 4316368735399665585147748
1. ! [X0] : ((generous(X0) | ~calm(X0)) => ~rich(X0)) [input p0]
6. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (~rich(X0) | ~kind(X0))) [input p5]
10. ! [X0] : ((rich(X0) | ~strong(X0)) => ~old(X0)) [input p9]
... | 0 |
Everyone who is both creative and tall is either not funny or not humble.
If alice is tall then lucy is both wise and not quiet and vice versa.
Everyone who is rich or not brave is both calm and happy and vice versa.
If someone is not strong or curious then someone is either not tall or curious and vice versa.
If alice... | Fred is not generous. | entailment | (![X]:((creative(X)&tall(X))=>(~funny(X)<~>~humble(X))))&
((tall(alice))<=>((wise(lucy)&~quiet(lucy))))&
(![X]:((rich(X)|~brave(X))<=>(calm(X)&happy(X))))&
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(((~kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((~curious(fred)&~quiet(fred... | ~generous(fred) | [
"p2",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6794377196802945363941388
% SZS output start Proof for 6794377196802945363941388
3. ! [X0] : ((~brave(X0) | rich(X0)) <=> (happy(X0) & calm(X0))) [input p2]
8. ~happy(alice) <=> ? [X0] : ~calm(X0) [input p7]
9. ! [X0] : ((brave(X0) & ~happy(X0)) => (kind(X0) & happy(X0))) [input p8]
10. !... | 0 |
Everyone who is not kind is not funny or brave and vice versa.
Everyone who is not funny is happy and vice versa.
Everyone who is both generous and not happy is generous and vice versa.
If someone is either tall or not old then susan is tall.
Everyone who is not wise is creative or generous.
If someone is both not happ... | Alice is kind. | contradiction | (![X]:(~kind(X)<=>(~funny(X)|brave(X))))&
(![X]:(~funny(X)<=>happy(X)))&
(![X]:((generous(X)&~happy(X))<=>generous(X)))&
((?[X]:((tall(X)<~>~old(X))))=>(tall(susan)))&
(![X]:(~wise(X)=>(creative(X)|generous(X))))&
((?[X]:((~happy(X)&patient(X))))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:(tall(X)=>(~brave(X)&~generous(X)))... | kind(alice) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8366716976725246477407666
% SZS output start Proof for 8366716976725246477407666
1. ! [X0] : (~kind(X0) <=> (brave(X0) | ~funny(X0))) [input p0]
11. ! [X0] : (brave(X0) <=> (kind(X0) | humble(X0))) [input p10]
25. kind(alice) [input hypothesis]
39. ! [X0] : ((~kind(X0) | (~brave(X0) & fun... | 0 |
Everyone who is not patient or not generous is not generous.
Everyone who is brave is happy or brave.
Everyone who is either humble or happy is strong or humble.
If paul is either not kind or not happy then someone is both brave and happy and vice versa.
If someone is both not kind and brave then someone is calm or not... | Fred is tall. | neutral | (![X]:((~patient(X)|~generous(X))=>~generous(X)))&
(![X]:(brave(X)=>(happy(X)|brave(X))))&
(![X]:((humble(X)<~>happy(X))=>(strong(X)|humble(X))))&
(((~kind(paul)<~>~happy(paul)))<=>(?[X]:((brave(X)&happy(X)))))&
((?[X]:((~kind(X)&brave(X))))=>(?[X]:((calm(X)|~happy(X)))))&
(![X]:((curious(X)|~quiet(X))<=>(~brave(X)<~>~... | tall(fred) | [] | null | 0 |
If someone is not kind or not creative then lucy is not generous and vice versa.
Everyone who is not brave or not quiet is both creative and not kind.
Everyone who is both not patient and not wise is not wise.
If someone is not funny then lucy is either rich or strong and vice versa.
Everyone who is happy or not rich i... | Susan is quiet. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~generous(lucy)))&
(![X]:((~brave(X)|~quiet(X))=>(creative(X)&~kind(X))))&
(![X]:((~patient(X)&~wise(X))=>~wise(X)))&
((?[X]:(~funny(X)))<=>((rich(lucy)<~>strong(lucy))))&
(![X]:((happy(X)|~rich(X))=>(~wise(X)|kind(X))))&
(![X]:(curious(X)<=>(humble(X)|~rich(X))))&
((old(fred))=>(?[... | quiet(susan) | [
"p5",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 27936258243701218539326
% SZS output start Proof for 27936258243701218539326
6. ! [X0] : (curious(X0) <=> (~rich(X0) | humble(X0))) [input p5]
12. ? [X0] : (funny(X0) | ~calm(X0)) => (generous(susan) <~> ~quiet(susan)) [input p11]
15. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (~generous(X0... | 0 |
If paul is either not curious or kind then lucy is both brave and not wise and vice versa. Everyone who is not strong or not kind is both tall and brave. Everyone who is happy or not patient is not humble or not patient. If someone is not patient or not creative then john is either not tall or wise. Everyone who is kin... | Lucy is not calm. | entailment | (((~curious(paul)<~>kind(paul)))<=>((brave(lucy)&~wise(lucy))))&
(![X]:((~strong(X)|~kind(X))=>(tall(X)&brave(X))))&
(![X]:((happy(X)|~patient(X))=>(~humble(X)|~patient(X))))&
((?[X]:((~patient(X)|~creative(X))))=>((~tall(john)<~>wise(john))))&
(![X]:((kind(X)|brave(X))=>(funny(X)<~>generous(X))))&
(![X]:((calm(X)|~pat... | ~calm(lucy) | [
"p5",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 110849300096633175130514
% SZS output start Proof for 110849300096633175130514
6. ! [X0] : ((~patient(X0) | calm(X0)) <=> (~kind(X0) <~> old(X0))) [input p5]
15. ! [X0] : ((~generous(X0) | kind(X0)) => ~old(X0)) [input p14]
18. kind(lucy) [input p17]
23. calm(lucy) [input hypothesis]
42. ... | 0 |
If someone is either not funny or not wise then alice is happy or quiet. Everyone who is either not generous or strong is kind and vice versa. If john is curious or kind then someone is either not kind or patient. Everyone who is not humble or curious is both not generous and not funny and vice versa. If mary is both g... | Mary is calm. | entailment | ((?[X]:((~funny(X)<~>~wise(X))))=>((happy(alice)|quiet(alice))))&
(![X]:((~generous(X)<~>strong(X))<=>kind(X)))&
(((curious(john)|kind(john)))=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:((~humble(X)|curious(X))<=>(~generous(X)&~funny(X))))&
(((generous(mary)&~funny(mary)))<=>((creative(fred)<~>funny(fred))))&
(![X]:((~w... | calm(mary) | [
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4966754490110946763584400
% SZS output start Proof for 4966754490110946763584400
6. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (rich(X0) | calm(X0))) [input p5]
13. ! [X0] : (tall(X0) <=> ~wise(X0)) [input p12]
15. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (calm(X0) | brave(X0))) [input p14]
16. ... | 0 |
If paul is both tall and generous then someone is not creative and vice versa.
Everyone who is quiet or brave is wise.
If someone is both rich and tall then someone is either not quiet or not strong.
Everyone who is not old is kind or creative.
Everyone who is humble or patient is not tall.
If someone is not brave then... | Mary is calm. | contradiction | (((tall(paul)&generous(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((quiet(X)|brave(X))=>wise(X)))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~quiet(X)<~>~strong(X)))))&
(![X]:(~old(X)=>(kind(X)|creative(X))))&
(![X]:((humble(X)|patient(X))=>~tall(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)|funny(X)))))&
(![X]:((generous(X)|~g... | calm(mary) | [
"p0",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 492020621928105274198582
% SZS output start Proof for 492020621928105274198582
1. (generous(paul) & tall(paul)) <=> ? [X0] : ~creative(X0) [input p0]
5. ! [X0] : ((patient(X0) | humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : ((~generous(X0) | generous(X0)) => (patient(X0) & old(X0))) [i... | 0 |
If someone is not brave or rich then someone is wise or kind. Everyone who is not happy is kind. Everyone who is patient is both not calm and not generous. If someone is tall then fred is both brave and not patient and vice versa. Everyone who is curious is funny or patient. If someone is both calm and wise then john i... | Lucy is not generous. | neutral | ((?[X]:((~brave(X)|rich(X))))=>(?[X]:((wise(X)|kind(X)))))&
(![X]:(~happy(X)=>kind(X)))&
(![X]:(patient(X)=>(~calm(X)&~generous(X))))&
((?[X]:(tall(X)))<=>((brave(fred)&~patient(fred))))&
(![X]:(curious(X)=>(funny(X)|patient(X))))&
((?[X]:((calm(X)&wise(X))))=>(~strong(john)))&
((?[X]:((curious(X)&~kind(X))))<=>(?[X]:(... | ~generous(lucy) | [] | null | 0 |
If fred is either funny or not brave then someone is old or rich.
If someone is strong or not tall then alice is not happy or humble and vice versa.
If someone is either rich or not curious then someone is both old and happy and vice versa.
If lucy is both rich and not tall then someone is wise or not calm and vice ver... | Lucy is funny. | contradiction | (((funny(fred)<~>~brave(fred)))=>(?[X]:((old(X)|rich(X)))))&
((?[X]:((strong(X)|~tall(X))))<=>((~happy(alice)|humble(alice))))&
((?[X]:((rich(X)<~>~curious(X))))<=>(?[X]:((old(X)&happy(X)))))&
(((rich(lucy)&~tall(lucy)))<=>(?[X]:((wise(X)|~calm(X)))))&
(((happy(mary)|creative(mary)))<=>(brave(alice)))&
(((quiet(lucy)<~... | funny(lucy) | [
"p3",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9124777301922642624943224
% SZS output start Proof for 9124777301922642624943224
4. (~tall(lucy) & rich(lucy)) <=> ? [X0] : (~calm(X0) | wise(X0)) [input p3]
11. ! [X0] : ((old(X0) & ~funny(X0)) <=> rich(X0)) [input p10]
22. ? [X0] : (~rich(X0) & ~calm(X0)) [input p21]
24. funny(lucy) [in... | 0 |
Everyone who is either not strong or brave is brave and vice versa.
If susan is either wise or humble then mary is both strong and brave.
Everyone who is humble is either tall or brave.
Everyone who is not quiet or creative is quiet or not quiet and vice versa.
Everyone who is both creative and patient is both not brav... | Susan is not tall. | contradiction | (![X]:((~strong(X)<~>brave(X))<=>brave(X)))&
(((wise(susan)<~>humble(susan)))=>((strong(mary)&brave(mary))))&
(![X]:(humble(X)=>(tall(X)<~>brave(X))))&
(![X]:((~quiet(X)|creative(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((creative(X)&patient(X))<=>(~brave(X)&rich(X))))&
(![X]:((wise(X)&~brave(X))=>(~brave(X)&calm(X))))&
((?... | ~tall(susan) | [
"p1",
"p2",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8608681156158040784446684
% SZS output start Proof for 8608681156158040784446684
2. (wise(susan) <~> humble(susan)) => (brave(mary) & strong(mary)) [input p1]
3. ! [X0] : (humble(X0) => (tall(X0) <~> brave(X0))) [input p2]
11. ! [X0] : ((brave(X0) | ~wise(X0)) <=> ~funny(X0)) [input p10]
... | 0 |
If fred is not brave or curious then paul is either kind or not strong.
Everyone who is both happy and not tall is either humble or wise and vice versa.
If someone is both calm and patient then lucy is both kind and funny.
If fred is both not tall and patient then susan is either happy or not curious.
Everyone who is n... | Susan is not rich. | neutral | (((~brave(fred)|curious(fred)))=>((kind(paul)<~>~strong(paul))))&
(![X]:((happy(X)&~tall(X))<=>(humble(X)<~>wise(X))))&
((?[X]:((calm(X)&patient(X))))=>((kind(lucy)&funny(lucy))))&
(((~tall(fred)&patient(fred)))=>((happy(susan)<~>~curious(susan))))&
(![X]:(~brave(X)<=>(humble(X)|patient(X))))&
(![X]:(~old(X)<=>(brave(X... | ~rich(susan) | [] | null | 0 |
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