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 not tall is tall or not kind and vice versa. If susan is both not calm and not quiet then someone is not old or not wise. Everyone who is not calm is wise or not tall and vice versa. If someone is not strong then john is either not curious or happy and vice versa. If alice is wise or patient then mary i... | Fred is generous. | entailment | (![X]:(~tall(X)<=>(tall(X)|~kind(X))))&
(((~calm(susan)&~quiet(susan)))=>(?[X]:((~old(X)|~wise(X)))))&
(![X]:(~calm(X)<=>(wise(X)|~tall(X))))&
((?[X]:(~strong(X)))<=>((~curious(john)<~>happy(john))))&
(((wise(alice)|patient(alice)))<=>((tall(mary)&old(mary))))&
((?[X]:((humble(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(!... | generous(fred) | [
"p0",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4890042013841484885579567
% SZS output start Proof for 4890042013841484885579567
1. ! [X0] : (~tall(X0) <=> (~kind(X0) | tall(X0))) [input p0]
5. (patient(alice) | wise(alice)) <=> (old(mary) & tall(mary)) [input p4]
8. creative(fred) <=> ? [X0] : (~patient(X0) | tall(X0)) [input p7]
9. !... | 0 |
Everyone who is either not humble or not rich is brave or not kind and vice versa.
If someone is not generous then someone is patient.
Everyone who is either not funny or patient is old or not generous.
If someone is quiet or patient then someone is either wise or funny.
If someone is both not generous and old then pau... | Paul is not creative. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(brave(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(?[X]:(patient(X))))&
(![X]:((~funny(X)<~>patient(X))=>(old(X)|~generous(X))))&
((?[X]:((quiet(X)|patient(X))))=>(?[X]:((wise(X)<~>funny(X)))))&
((?[X]:((~generous(X)&old(X))))=>(patient(paul)))&
((?[X]:((~brave(X)&old(X))))<=>(?[X]:((kind(... | ~creative(paul) | [] | null | 0 |
If alice is not wise then lucy is humble or not strong and vice versa. Everyone who is rich is not humble or wise and vice versa. Everyone who is wise is either not kind or not patient and vice versa. Everyone who is either not strong or not tall is either not strong or not calm and vice versa. Everyone who is not pati... | Alice is not wise. | contradiction | ((~wise(alice))<=>((humble(lucy)|~strong(lucy))))&
(![X]:(rich(X)<=>(~humble(X)|wise(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~patient(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~strong(X)<~>~calm(X))))&
(![X]:((~patient(X)|~calm(X))=>(rich(X)|tall(X))))&
(![X]:(kind(X)<=>(~generous(X)|~quiet(X))))&
((?[X]:((~generous(X)<~>ri... | ~wise(alice) | [
"p1",
"p3",
"p7",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9052718544489112415317427
% SZS output start Proof for 9052718544489112415317427
2. ! [X0] : (rich(X0) <=> (wise(X0) | ~humble(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (~strong(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : ((~rich(X0) | wise(X0)) => (~creative(X0) & wise... | 0 |
Everyone who is either not humble or not creative is not creative.
Everyone who is both rich and not old is either wise or not calm and vice versa.
If someone is both not tall and calm then alice is not curious or not patient.
If susan is rich or creative then susan is both curious and generous and vice versa.
Everyone... | Lucy is tall. | contradiction | (![X]:((~humble(X)<~>~creative(X))=>~creative(X)))&
(![X]:((rich(X)&~old(X))<=>(wise(X)<~>~calm(X))))&
((?[X]:((~tall(X)&calm(X))))=>((~curious(alice)|~patient(alice))))&
(((rich(susan)|creative(susan)))<=>((curious(susan)&generous(susan))))&
(![X]:((creative(X)|~wise(X))=>~creative(X)))&
((~funny(lucy))<=>(old(paul)))... | tall(lucy) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5244315500742475667263746
% SZS output start Proof for 5244315500742475667263746
5. ! [X0] : ((~wise(X0) | creative(X0)) => ~creative(X0)) [input p4]
7. ! [X0] : ((strong(X0) | tall(X0)) => (creative(X0) & ~kind(X0))) [input p6]
25. tall(lucy) [input hypothesis]
31. ! [X0] : (~creative(X0... | 0 |
Everyone who is generous is both not happy and not patient and vice versa.
If someone is either wise or not quiet then fred is both tall and calm and vice versa.
If alice is either not quiet or not old then someone is both rich and not calm and vice versa.
Everyone who is both curious and not humble is either kind or n... | Paul is not kind. | neutral | (![X]:(generous(X)<=>(~happy(X)&~patient(X))))&
((?[X]:((wise(X)<~>~quiet(X))))<=>((tall(fred)&calm(fred))))&
(((~quiet(alice)<~>~old(alice)))<=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:((curious(X)&~humble(X))<=>(kind(X)<~>~happy(X))))&
(![X]:((~kind(X)|tall(X))<=>(humble(X)|~rich(X))))&
((?[X]:(~brave(X)))<=>((~rich(paul)... | ~kind(paul) | [] | null | 0 |
Everyone who is either quiet or not wise is both not old and kind. If someone is either not kind or quiet then someone is not happy and vice versa. Everyone who is not happy is either curious or not curious and vice versa. Everyone who is both not funny and not happy is not happy or not tall. If paul is not creative or... | Mary is curious. | neutral | (![X]:((quiet(X)<~>~wise(X))=>(~old(X)&kind(X))))&
((?[X]:((~kind(X)<~>quiet(X))))<=>(?[X]:(~happy(X))))&
(![X]:(~happy(X)<=>(curious(X)<~>~curious(X))))&
(![X]:((~funny(X)&~happy(X))=>(~happy(X)|~tall(X))))&
(((~creative(paul)|~funny(paul)))=>(?[X]:((~generous(X)&~creative(X)))))&
(![X]:((quiet(X)&~happy(X))=>funny(X)... | curious(mary) | [] | null | 0 |
Everyone who is not creative or strong is either kind or wise. Everyone who is either wise or funny is either not old or old. Everyone who is tall is creative. If someone is both old and not happy then john is not rich or not patient. Everyone who is creative is curious and vice versa. If someone is generous or not pat... | John is curious. | neutral | (![X]:((~creative(X)|strong(X))=>(kind(X)<~>wise(X))))&
(![X]:((wise(X)<~>funny(X))=>(~old(X)<~>old(X))))&
(![X]:(tall(X)=>creative(X)))&
((?[X]:((old(X)&~happy(X))))=>((~rich(john)|~patient(john))))&
(![X]:(creative(X)<=>curious(X)))&
((?[X]:((generous(X)|~patient(X))))=>((~curious(paul)<~>~creative(paul))))&
(![X]:((... | curious(john) | [] | null | 0 |
Everyone who is either not funny or old is both tall and not funny and vice versa.
If mary is strong then lucy is rich or creative.
If someone is humble or old then fred is either quiet or not happy and vice versa.
If susan is either not kind or wise then someone is both not rich and not humble and vice versa.
Everyone... | Fred is rich. | contradiction | (![X]:((~funny(X)<~>old(X))<=>(tall(X)&~funny(X))))&
((strong(mary))=>((rich(lucy)|creative(lucy))))&
((?[X]:((humble(X)|old(X))))<=>((quiet(fred)<~>~happy(fred))))&
(((~kind(susan)<~>wise(susan)))<=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:(~old(X)<=>rich(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:((~old(X)|kind(X))... | rich(fred) | [
"p4",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 151577886033283994345642
% SZS output start Proof for 151577886033283994345642
5. ! [X0] : (~old(X0) <=> rich(X0)) [input p4]
7. ! [X0] : ((kind(X0) | ~old(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p6]
10. ! [X0] : (strong(X0) <=> old(X0)) [input p9]
21. quiet(fred) [input p20]
25. ric... | 0 |
If someone is either rich or not old then someone is both generous and not creative. If someone is both happy and creative then someone is humble and vice versa. Everyone who is not happy is both not creative and not happy and vice versa. If someone is either not humble or not kind then paul is either not kind or humbl... | Paul is not old. | entailment | ((?[X]:((rich(X)<~>~old(X))))=>(?[X]:((generous(X)&~creative(X)))))&
((?[X]:((happy(X)&creative(X))))<=>(?[X]:(humble(X))))&
(![X]:(~happy(X)<=>(~creative(X)&~happy(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((~kind(paul)<~>humble(paul))))&
(![X]:((calm(X)&~kind(X))<=>(~funny(X)<~>calm(X))))&
(((happy(paul)<~>~patient(... | ~old(paul) | [
"p4",
"p7",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5152462422993369487459492
% SZS output start Proof for 5152462422993369487459492
5. ! [X0] : ((~kind(X0) & calm(X0)) <=> (~funny(X0) <~> calm(X0))) [input p4]
8. ! [X0] : (~patient(X0) => (~old(X0) & ~curious(X0))) [input p7]
14. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~tall(X0) | patien... | 0 |
Everyone who is both not generous and not wise is not wise or not kind and vice versa. If someone is not brave or kind then someone is not rich. If someone is either happy or not wise then paul is both strong and quiet and vice versa. If someone is not calm or not brave then someone is not funny. Everyone who is both r... | John is rich. | contradiction | (![X]:((~generous(X)&~wise(X))<=>(~wise(X)|~kind(X))))&
((?[X]:((~brave(X)|kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((happy(X)<~>~wise(X))))<=>((strong(paul)&quiet(paul))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:(~funny(X))))&
(![X]:((rich(X)&~generous(X))<=>~calm(X)))&
(![X]:((strong(X)&kind(X))=>old(X)))&
((?[X]:((pati... | rich(john) | [
"p0",
"p3",
"p4",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3619490561764493442254825
% SZS output start Proof for 3619490561764493442254825
1. ! [X0] : ((~wise(X0) & ~generous(X0)) <=> (~kind(X0) | ~wise(X0))) [input p0]
4. ? [X0] : (~brave(X0) | ~calm(X0)) => ? [X0] : ~funny(X0) [input p3]
5. ! [X0] : ((~generous(X0) & rich(X0)) <=> ~calm(X0)) [... | 0 |
Everyone who is both not happy and strong is not wise or not calm.
If fred is both not brave and not humble then someone is not quiet or calm.
Everyone who is both curious and generous is not curious.
If someone is kind or funny then john is either strong or kind.
If susan is calm then someone is not funny or not quiet... | John is not tall. | contradiction | (![X]:((~happy(X)&strong(X))=>(~wise(X)|~calm(X))))&
(((~brave(fred)&~humble(fred)))=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((curious(X)&generous(X))=>~curious(X)))&
((?[X]:((kind(X)|funny(X))))=>((strong(john)<~>kind(john))))&
((calm(susan))=>(?[X]:((~funny(X)|~quiet(X)))))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((ge... | ~tall(john) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6493654172915104250542637
% SZS output start Proof for 6493654172915104250542637
7. ! [X0] : ((~happy(X0) & wise(X0)) <=> (happy(X0) & ~tall(X0))) [input p6]
17. happy(john) [input p16]
25. ~tall(john) [input hypothesis]
51. ! [X0] : (((~happy(X0) & wise(X0)) | (~happy(X0) | tall(X0))) & ... | 0 |
Everyone who is funny or not kind is both not wise and brave.
Everyone who is not curious or not quiet is either not patient or humble.
If paul is not wise or generous then fred is either not strong or not tall.
Everyone who is both brave and generous is either rich or kind and vice versa.
If fred is both not calm and ... | Fred is quiet. | contradiction | (![X]:((funny(X)|~kind(X))=>(~wise(X)&brave(X))))&
(![X]:((~curious(X)|~quiet(X))=>(~patient(X)<~>humble(X))))&
(((~wise(paul)|generous(paul)))=>((~strong(fred)<~>~tall(fred))))&
(![X]:((brave(X)&generous(X))<=>(rich(X)<~>kind(X))))&
(((~calm(fred)&~rich(fred)))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~calm(X)|~crea... | quiet(fred) | [
"p5",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5867477123302851900354217
% SZS output start Proof for 5867477123302851900354217
6. ! [X0] : ((~creative(X0) | ~calm(X0)) => ~tall(X0)) [input p5]
8. ! [X0] : ((creative(X0) | ~brave(X0)) => (humble(X0) <~> ~creative(X0))) [input p7]
11. ? [X0] : quiet(X0) => tall(lucy) [input p10]
13. ! ... | 0 |
If someone is either creative or not happy then fred is not kind or strong. Everyone who is not tall is not kind and vice versa. Everyone who is curious is both rich and not patient and vice versa. Everyone who is not quiet is either not tall or calm. If someone is both calm and curious then john is either strong or no... | Lucy is happy. | contradiction | ((?[X]:((creative(X)<~>~happy(X))))=>((~kind(fred)|strong(fred))))&
(![X]:(~tall(X)<=>~kind(X)))&
(![X]:(curious(X)<=>(rich(X)&~patient(X))))&
(![X]:(~quiet(X)=>(~tall(X)<~>calm(X))))&
((?[X]:((calm(X)&curious(X))))<=>((strong(john)<~>~kind(john))))&
(![X]:(~wise(X)<=>(creative(X)|funny(X))))&
((?[X]:(wise(X)))<=>(?[X]... | happy(lucy) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5315522643150644633952788
% SZS output start Proof for 5315522643150644633952788
10. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~calm(X0) & happy(X0))) [input p9]
18. ~happy(lucy) | ~humble(lucy) [input p17]
25. happy(lucy) [input hypothesis]
61. ! [X0] : (((~humble(X0) & calm(X0)) | (calm(X... | 0 |
Everyone who is either not patient or brave is both not rich and rich.
Everyone who is both not curious and happy is either old or funny.
Everyone who is either not rich or not strong is not curious or wise and vice versa.
Everyone who is not strong or curious is wise.
Everyone who is not generous or not brave is both ... | Mary is creative. | contradiction | (![X]:((~patient(X)<~>brave(X))=>(~rich(X)&rich(X))))&
(![X]:((~curious(X)&happy(X))=>(old(X)<~>funny(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>(~curious(X)|wise(X))))&
(![X]:((~strong(X)|curious(X))=>wise(X)))&
(![X]:((~generous(X)|~brave(X))=>(~quiet(X)&~patient(X))))&
(((~funny(mary)|~creative(mary)))=>((~funny(mary)|... | creative(mary) | [
"p3",
"p8",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8982382309147636529165695
% SZS output start Proof for 8982382309147636529165695
4. ! [X0] : ((curious(X0) | ~strong(X0)) => wise(X0)) [input p3]
9. ? [X0] : (tall(X0) | funny(X0)) => (quiet(mary) & ~creative(mary)) [input p8]
12. ! [X0] : ((~old(X0) & ~wise(X0)) <=> ~funny(X0)) [input p1... | 0 |
If susan is either not quiet or funny then someone is both funny and not brave.
Everyone who is both not quiet and rich is both wise and not quiet.
Everyone who is both creative and not curious is both brave and curious and vice versa.
If someone is creative then lucy is both not quiet and not creative.
Everyone who is... | Alice is creative. | contradiction | (((~quiet(susan)<~>funny(susan)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~quiet(X)&rich(X))=>(wise(X)&~quiet(X))))&
(![X]:((creative(X)&~curious(X))<=>(brave(X)&curious(X))))&
((?[X]:(creative(X)))=>((~quiet(lucy)&~creative(lucy))))&
(![X]:(curious(X)<=>~patient(X)))&
((?[X]:((wise(X)&generous(X))))<=>(?[X]:((strong(... | creative(alice) | [
"p2",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6398533857616955733339053
% SZS output start Proof for 6398533857616955733339053
3. ! [X0] : ((~curious(X0) & creative(X0)) <=> (curious(X0) & brave(X0))) [input p2]
5. ! [X0] : (curious(X0) <=> ~patient(X0)) [input p4]
9. ! [X0] : (~curious(X0) <=> (~generous(X0) | ~old(X0))) [input p8]
... | 0 |
Everyone who is not curious or not calm is either humble or calm and vice versa. Everyone who is either not quiet or not happy is strong or not quiet and vice versa. Everyone who is either not curious or not quiet is either old or tall. Everyone who is both not strong and not creative is both generous and not kind and ... | Fred is happy. | contradiction | (![X]:((~curious(X)|~calm(X))<=>(humble(X)<~>calm(X))))&
(![X]:((~quiet(X)<~>~happy(X))<=>(strong(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~quiet(X))=>(old(X)<~>tall(X))))&
(![X]:((~strong(X)&~creative(X))<=>(generous(X)&~kind(X))))&
((?[X]:((creative(X)<~>~rich(X))))=>(?[X]:((~old(X)<~>~strong(X)))))&
(((patient(mary)<~... | happy(fred) | [
"p1",
"p3",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 408974101305877177880087
% SZS output start Proof for 408974101305877177880087
2. ! [X0] : ((~quiet(X0) <~> ~happy(X0)) <=> (~quiet(X0) | strong(X0))) [input p1]
4. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (~kind(X0) & generous(X0))) [input p3]
8. ! [X0] : ((~happy(X0) <~> brave(X0)) <... | 0 |
Everyone who is either quiet or old is rich and vice versa. Everyone who is both calm and not brave is not generous or not old. If someone is not humble or happy then someone is either happy or not patient. If john is both not old and tall then paul is old and vice versa. Everyone who is both not old and not generous i... | Mary is not curious. | contradiction | (![X]:((quiet(X)<~>old(X))<=>rich(X)))&
(![X]:((calm(X)&~brave(X))=>(~generous(X)|~old(X))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((happy(X)<~>~patient(X)))))&
(((~old(john)&tall(john)))<=>(old(paul)))&
(![X]:((~old(X)&~generous(X))<=>(~calm(X)|calm(X))))&
(![X]:((creative(X)<~>~old(X))<=>(~humble(X)|strong(X))))&
(... | ~curious(mary) | [
"p2",
"p7",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8703905818485120640441971
% SZS output start Proof for 8703905818485120640441971
3. ? [X0] : (happy(X0) | ~humble(X0)) => ? [X0] : (happy(X0) <~> ~patient(X0)) [input p2]
8. ! [X0] : (rich(X0) <=> (rich(X0) <~> happy(X0))) [input p7]
13. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~patient(X0... | 0 |
Everyone who is both not creative and strong is quiet or not creative and vice versa.
If someone is not generous or brave then mary is either humble or not curious.
If someone is funny or wise then susan is generous.
If alice is not creative or not quiet then someone is wise.
If someone is not quiet then mary is both n... | Mary is not creative. | entailment | (![X]:((~creative(X)&strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~generous(X)|brave(X))))=>((humble(mary)<~>~curious(mary))))&
((?[X]:((funny(X)|wise(X))))=>(generous(susan)))&
(((~creative(alice)|~quiet(alice)))=>(?[X]:(wise(X))))&
((?[X]:(~quiet(X)))<=>((~brave(mary)&~strong(mary))))&
((?[X]:(~wise(X)))<=>(?[X]:... | ~creative(mary) | [
"p0",
"p1",
"p4",
"p10",
"p14",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6077258146067386823218970
% SZS output start Proof for 6077258146067386823218970
1. ! [X0] : ((strong(X0) & ~creative(X0)) <=> (~creative(X0) | quiet(X0))) [input p0]
2. ? [X0] : (brave(X0) | ~generous(X0)) => (humble(mary) <~> ~curious(mary)) [input p1]
5. ? [X0] : ~quiet(X0) <=> (~stron... | 0 |
Everyone who is brave is either not wise or not kind and vice versa. Everyone who is either not wise or not curious is either not brave or funny and vice versa. If susan is either not generous or strong then someone is either patient or not funny and vice versa. If someone is not curious or brave then john is either no... | Susan is generous. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~brave(X)<~>funny(X))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~happy(john)<~>~generous(john))))&
(((~old(john)|generous(john)))=>((patient(paul)|old(paul))))&
(![X]:(g... | generous(susan) | [
"p2",
"p5",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8302592813681074267467611
% SZS output start Proof for 8302592813681074267467611
3. (~generous(susan) <~> strong(susan)) <=> ? [X0] : (patient(X0) <~> ~funny(X0)) [input p2]
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
10. kind(susan) <=> ? [X0] : (patient(X0) & fu... | 0 |
Everyone who is both not creative and humble is old. If lucy is both strong and generous then paul is kind and vice versa. Everyone who is both not brave and quiet is humble and vice versa. Everyone who is not rich or calm is both wise and humble and vice versa. If someone is either kind or not wise then paul is old or... | Fred is not rich. | contradiction | (![X]:((~creative(X)&humble(X))=>old(X)))&
(((strong(lucy)&generous(lucy)))<=>(kind(paul)))&
(![X]:((~brave(X)&quiet(X))<=>humble(X)))&
(![X]:((~rich(X)|calm(X))<=>(wise(X)&humble(X))))&
((?[X]:((kind(X)<~>~wise(X))))=>((old(paul)|~kind(paul))))&
((?[X]:((~rich(X)<~>~strong(X))))=>(calm(john)))&
((?[X]:((~tall(X)<~>~ge... | ~rich(fred) | [
"p2",
"p3",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7363988395352682030447628
% SZS output start Proof for 7363988395352682030447628
3. ! [X0] : ((quiet(X0) & ~brave(X0)) <=> humble(X0)) [input p2]
4. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (humble(X0) & wise(X0))) [input p3]
13. ? [X0] : quiet(X0) => (generous(alice) & ~tall(alice)) [input p... | 0 |
Everyone who is creative or not calm is either quiet or not happy.
Everyone who is both funny and not strong is generous or happy and vice versa.
Everyone who is both not curious and calm is both creative and not quiet.
Everyone who is not tall or funny is wise or not rich and vice versa.
If fred is not generous or not... | Susan is not quiet. | neutral | (![X]:((creative(X)|~calm(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((funny(X)&~strong(X))<=>(generous(X)|happy(X))))&
(![X]:((~curious(X)&calm(X))=>(creative(X)&~quiet(X))))&
(![X]:((~tall(X)|funny(X))<=>(wise(X)|~rich(X))))&
(((~generous(fred)|~patient(fred)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(~rich(X)<=>generous(X)))&... | ~quiet(susan) | [] | null | 0 |
Everyone who is both not calm and humble is not generous or kind. If someone is both wise and not strong then susan is humble or wise and vice versa. Everyone who is not kind is not curious and vice versa. Everyone who is funny is tall and vice versa. Everyone who is not patient is either rich or not generous and vice ... | Fred is not wise. | neutral | (![X]:((~calm(X)&humble(X))=>(~generous(X)|kind(X))))&
((?[X]:((wise(X)&~strong(X))))<=>((humble(susan)|wise(susan))))&
(![X]:(~kind(X)<=>~curious(X)))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:(~patient(X)<=>(rich(X)<~>~generous(X))))&
(![X]:((~curious(X)|~humble(X))=>(curious(X)<~>wise(X))))&
(![X]:((calm(X)|~patient(X))=>... | ~wise(fred) | [] | null | 0 |
If someone is brave or curious then mary is not rich.
If fred is both brave and patient then paul is both curious and calm and vice versa.
If mary is not funny then john is either not curious or happy.
Everyone who is both calm and not strong is old or wise and vice versa.
Everyone who is both happy and not calm is pat... | Mary is generous. | entailment | ((?[X]:((brave(X)|curious(X))))=>(~rich(mary)))&
(((brave(fred)&patient(fred)))<=>((curious(paul)&calm(paul))))&
((~funny(mary))=>((~curious(john)<~>happy(john))))&
(![X]:((calm(X)&~strong(X))<=>(old(X)|wise(X))))&
(![X]:((happy(X)&~calm(X))=>(patient(X)|~happy(X))))&
(![X]:((~curious(X)|~happy(X))=>(creative(X)&~kind(... | generous(mary) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3347425272357712072408237
% SZS output start Proof for 3347425272357712072408237
4. ! [X0] : ((~strong(X0) & calm(X0)) <=> (wise(X0) | old(X0))) [input p3]
5. ! [X0] : ((~calm(X0) & happy(X0)) => (~happy(X0) | patient(X0))) [input p4]
6. ! [X0] : ((~happy(X0) | ~curious(X0)) => (~kind(X0)... | 0 |
Everyone who is strong is either not creative or tall.
Everyone who is both not strong and generous is both creative and quiet.
Everyone who is both not tall and kind is both not curious and not rich.
Everyone who is not strong is humble or curious.
If someone is not old or not tall then john is either not generous or ... | John is kind. | neutral | (![X]:(strong(X)=>(~creative(X)<~>tall(X))))&
(![X]:((~strong(X)&generous(X))=>(creative(X)&quiet(X))))&
(![X]:((~tall(X)&kind(X))=>(~curious(X)&~rich(X))))&
(![X]:(~strong(X)=>(humble(X)|curious(X))))&
((?[X]:((~old(X)|~tall(X))))=>((~generous(john)<~>~curious(john))))&
((?[X]:((creative(X)&rich(X))))=>((old(susan)&ki... | kind(john) | [] | null | 0 |
If someone is both not brave and calm then someone is both not rich and rich and vice versa. If someone is both rich and not happy then someone is not tall or generous and vice versa. If paul is patient then john is happy and vice versa. If susan is not old then lucy is not creative or not kind and vice versa. Everyone... | Alice is not tall. | entailment | ((?[X]:((~brave(X)&calm(X))))<=>(?[X]:((~rich(X)&rich(X)))))&
((?[X]:((rich(X)&~happy(X))))<=>(?[X]:((~tall(X)|generous(X)))))&
((patient(paul))<=>(happy(john)))&
((~old(susan))<=>((~creative(lucy)|~kind(lucy))))&
(![X]:((happy(X)|humble(X))=>(~generous(X)|~tall(X))))&
((?[X]:((humble(X)|~brave(X))))=>((~patient(alice)... | ~tall(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4603052246198614730943584
% SZS output start Proof for 4603052246198614730943584
21. creative(alice) & ~tall(alice) [input p20]
25. tall(alice) [input hypothesis]
140. ~tall(alice) [cnf transformation 21]
146. tall(alice) [cnf transformation 25]
368. $false [subsumption resolution 146,140... | 0 |
Everyone who is funny is both not patient and not curious and vice versa.
Everyone who is either old or not quiet is both strong and brave and vice versa.
Everyone who is either not tall or not creative is funny or generous.
Everyone who is not kind is both funny and not happy.
Everyone who is either not tall or happy ... | Lucy is not old. | neutral | (![X]:(funny(X)<=>(~patient(X)&~curious(X))))&
(![X]:((old(X)<~>~quiet(X))<=>(strong(X)&brave(X))))&
(![X]:((~tall(X)<~>~creative(X))=>(funny(X)|generous(X))))&
(![X]:(~kind(X)=>(funny(X)&~happy(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(brave(X)&funny(X))))&
(![X]:((old(X)|~calm(X))<=>(calm(X)|~quiet(X))))&
(![X]:((~gener... | ~old(lucy) | [] | null | 0 |
If mary is both rich and not brave then mary is generous.
Everyone who is calm or happy is both not rich and not wise.
Everyone who is not humble is calm and vice versa.
If someone is patient then someone is creative.
If someone is both generous and not creative then lucy is not old.
Everyone who is not tall or brave i... | Mary is not creative. | neutral | (((rich(mary)&~brave(mary)))=>(generous(mary)))&
(![X]:((calm(X)|happy(X))=>(~rich(X)&~wise(X))))&
(![X]:(~humble(X)<=>calm(X)))&
((?[X]:(patient(X)))=>(?[X]:(creative(X))))&
((?[X]:((generous(X)&~creative(X))))=>(~old(lucy)))&
(![X]:((~tall(X)|brave(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~strong(X)|calm(X))=>(humble(... | ~creative(mary) | [] | null | 0 |
If john is either not patient or old then someone is either not creative or humble.
Everyone who is both not wise and not patient is either strong or old and vice versa.
Everyone who is calm or not creative is either not old or not curious.
Everyone who is both not wise and not old is both not humble and not kind.
Ever... | Susan is patient. | neutral | (((~patient(john)<~>old(john)))=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(strong(X)<~>old(X))))&
(![X]:((calm(X)|~creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brave(X)|~funny(X))=>~calm(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>(~fun... | patient(susan) | [] | null | 0 |
Everyone who is calm or not rich is either quiet or not curious.
Everyone who is not kind is both not wise and not curious and vice versa.
Everyone who is either old or not happy is both not wise and kind.
Everyone who is happy is curious or not curious.
Everyone who is strong or not generous is both patient and not ha... | Paul is not generous. | contradiction | (![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~curious(X))))&
(![X]:((old(X)<~>~happy(X))=>(~wise(X)&kind(X))))&
(![X]:(happy(X)=>(curious(X)|~curious(X))))&
(![X]:((strong(X)|~generous(X))=>(patient(X)&~happy(X))))&
(![X]:((~wise(X)&generous(X))<=>(patient(X)<~>~kind(X))))&
(![X]:(... | ~generous(paul) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p10",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6461872342714345859104104
% SZS output start Proof for 6461872342714345859104104
2. ! [X0] : (~kind(X0) <=> (~curious(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~happy(X0)) => (kind(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~generous(X0) | strong(X0)) => (~happy(X0) & patient... | 0 |
Everyone who is not humble is both not strong and not creative and vice versa.
If alice is not wise then susan is brave or not old and vice versa.
Everyone who is both not strong and not rich is either not tall or funny and vice versa.
If susan is not calm then alice is either not calm or not funny and vice versa.
Ever... | Mary is patient. | entailment | (![X]:(~humble(X)<=>(~strong(X)&~creative(X))))&
((~wise(alice))<=>((brave(susan)|~old(susan))))&
(![X]:((~strong(X)&~rich(X))<=>(~tall(X)<~>funny(X))))&
((~calm(susan))<=>((~calm(alice)<~>~funny(alice))))&
(![X]:((tall(X)|brave(X))<=>~wise(X)))&
((?[X]:(~calm(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(alice)<~>~brav... | patient(mary) | [
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2508410048821915412887869
% SZS output start Proof for 2508410048821915412887869
9. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p8]
11. ! [X0] : (~funny(X0) <=> (~old(X0) <~> patient(X0))) [input p10]
15. ! [X0] : (old(X0) <=> (~funny(X0) & creative(X0))) [input p14]
22. ~pati... | 0 |
Everyone who is not patient is both wise and not tall and vice versa.
Everyone who is brave is wise or calm.
If paul is not creative or calm then someone is not strong and vice versa.
If someone is both tall and not creative then someone is both not curious and wise and vice versa.
If someone is both not kind and not w... | Mary is generous. | neutral | (![X]:(~patient(X)<=>(wise(X)&~tall(X))))&
(![X]:(brave(X)=>(wise(X)|calm(X))))&
(((~creative(paul)|calm(paul)))<=>(?[X]:(~strong(X))))&
((?[X]:((tall(X)&~creative(X))))<=>(?[X]:((~curious(X)&wise(X)))))&
((?[X]:((~kind(X)&~wise(X))))<=>((~tall(mary)<~>kind(mary))))&
(![X]:((~patient(X)&kind(X))<=>curious(X)))&
(((~hum... | generous(mary) | [] | null | 0 |
Everyone who is not brave or calm is old or creative.
If someone is not kind or not generous then lucy is both not old and not strong.
Everyone who is not creative or funny is either not rich or tall.
If alice is either not kind or generous then someone is both quiet and patient and vice versa.
Everyone who is not old ... | John is creative. | neutral | (![X]:((~brave(X)|calm(X))=>(old(X)|creative(X))))&
((?[X]:((~kind(X)|~generous(X))))=>((~old(lucy)&~strong(lucy))))&
(![X]:((~creative(X)|funny(X))=>(~rich(X)<~>tall(X))))&
(((~kind(alice)<~>generous(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~old(X)=>(brave(X)|wise(X))))&
(![X]:((wise(X)&~funny(X))<=>~generou... | creative(john) | [] | null | 0 |
If fred is both humble and not calm then paul is both strong and humble.
If someone is either not old or not funny then paul is quiet.
Everyone who is both not kind and quiet is either happy or not brave and vice versa.
If alice is both not generous and not curious then susan is not rich.
If fred is happy or creative t... | John is not creative. | contradiction | (((humble(fred)&~calm(fred)))=>((strong(paul)&humble(paul))))&
((?[X]:((~old(X)<~>~funny(X))))=>(quiet(paul)))&
(![X]:((~kind(X)&quiet(X))<=>(happy(X)<~>~brave(X))))&
(((~generous(alice)&~curious(alice)))=>(~rich(susan)))&
(((happy(fred)|creative(fred)))=>((tall(mary)<~>~creative(mary))))&
(![X]:(patient(X)=>(funny(X)&... | ~creative(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 625515324817408126824006
% SZS output start Proof for 625515324817408126824006
9. ! [X0] : (old(X0) <=> (~old(X0) & ~creative(X0))) [input p8]
23. ~creative(john) [input hypothesis]
41. ! [X0] : ((old(X0) | (old(X0) | creative(X0))) & ((~old(X0) & ~creative(X0)) | ~old(X0))) [nnf transfor... | 0 |
If susan is curious or tall then someone is either not humble or not patient and vice versa.
If someone is either calm or wise then someone is both not humble and humble and vice versa.
If someone is strong or not calm then someone is either not funny or not wise and vice versa.
Everyone who is either curious or not ge... | Susan is not curious. | contradiction | (((curious(susan)|tall(susan)))<=>(?[X]:((~humble(X)<~>~patient(X)))))&
((?[X]:((calm(X)<~>wise(X))))<=>(?[X]:((~humble(X)&humble(X)))))&
((?[X]:((strong(X)|~calm(X))))<=>(?[X]:((~funny(X)<~>~wise(X)))))&
(![X]:((curious(X)<~>~generous(X))<=>(humble(X)|brave(X))))&
(![X]:((~happy(X)&kind(X))<=>(brave(X)|~tall(X))))&
(!... | ~curious(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5716836769095703905648075
% SZS output start Proof for 5716836769095703905648075
1. (tall(susan) | curious(susan)) <=> ? [X0] : (~humble(X0) <~> ~patient(X0)) [input p0]
2. ? [X0] : (calm(X0) <~> wise(X0)) <=> ? [X0] : (humble(X0) & ~humble(X0)) [input p1]
4. ! [X0] : ((curious(X0) <~> ~g... | 0 |
If lucy is either generous or humble then someone is not funny or not generous and vice versa.
If mary is either not wise or not patient then someone is both curious and not quiet and vice versa.
Everyone who is tall is either not rich or not creative and vice versa.
If someone is not generous or strong then someone is... | Mary is not patient. | neutral | (((generous(lucy)<~>humble(lucy)))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~wise(mary)<~>~patient(mary)))<=>(?[X]:((curious(X)&~quiet(X)))))&
(![X]:(tall(X)<=>(~rich(X)<~>~creative(X))))&
((?[X]:((~generous(X)|strong(X))))<=>(?[X]:((~quiet(X)<~>brave(X)))))&
((?[X]:((~rich(X)&~quiet(X))))<=>(?[X]:(~generous(X))))&
((?... | ~patient(mary) | [] | null | 0 |
If alice is not curious or kind then paul is calm. Everyone who is strong is either not curious or funny. Everyone who is funny or quiet is funny and vice versa. If lucy is both not happy and not tall then paul is kind or not calm and vice versa. Everyone who is happy is both not patient and creative. Everyone who is w... | Alice is calm. | neutral | (((~curious(alice)|kind(alice)))=>(calm(paul)))&
(![X]:(strong(X)=>(~curious(X)<~>funny(X))))&
(![X]:((funny(X)|quiet(X))<=>funny(X)))&
(((~happy(lucy)&~tall(lucy)))<=>((kind(paul)|~calm(paul))))&
(![X]:(happy(X)=>(~patient(X)&creative(X))))&
(![X]:(wise(X)<=>generous(X)))&
(![X]:(~curious(X)=>(~strong(X)|quiet(X))))&
... | calm(alice) | [] | null | 0 |
Everyone who is generous is both funny and rich.
Everyone who is either humble or old is both generous and funny.
Everyone who is humble is calm and vice versa.
Everyone who is humble is generous and vice versa.
If someone is either happy or not humble then someone is either patient or not creative.
Everyone who is bot... | Alice is not creative. | entailment | (![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creative(X))<=>(~brave(X)|tall(X))))&
(![X]:((calm(X)|~quiet(X))<... | ~creative(alice) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3565373961582489823822564
% SZS output start Proof for 3565373961582489823822564
6. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (tall(X0) | ~brave(X0))) [input p5]
9. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (~brave(X0) <~> ~creative(X0))) [input p8]
24. creative(alice) [input hypothesis]
4... | 0 |
Everyone who is either kind or funny is not humble or wise and vice versa.
Everyone who is not tall or not brave is both rich and old and vice versa.
If lucy is not humble then alice is not brave and vice versa.
Everyone who is humble or curious is funny and vice versa.
Everyone who is either not humble or not wise is ... | Lucy is rich. | contradiction | (![X]:((kind(X)<~>funny(X))<=>(~humble(X)|wise(X))))&
(![X]:((~tall(X)|~brave(X))<=>(rich(X)&old(X))))&
((~humble(lucy))<=>(~brave(alice)))&
(![X]:((humble(X)|curious(X))<=>funny(X)))&
(![X]:((~humble(X)<~>~wise(X))<=>kind(X)))&
(![X]:((~brave(X)&~kind(X))=>(~creative(X)<~>~brave(X))))&
(![X]:((~kind(X)|humble(X))=>(ol... | rich(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6989986824937200338729036
% SZS output start Proof for 6989986824937200338729036
13. ! [X0] : ((tall(X0) & ~rich(X0)) <=> (rich(X0) | curious(X0))) [input p12]
21. rich(lucy) [input hypothesis]
57. ! [X0] : (((tall(X0) & ~rich(X0)) | (~rich(X0) & ~curious(X0))) & ((rich(X0) | curious(X0))... | 0 |
If someone is either brave or not calm then someone is either not patient or rich. If mary is quiet or strong then someone is both not rich and quiet and vice versa. If alice is strong then mary is either tall or humble. If someone is either funny or not old then alice is quiet or strong. Everyone who is not brave is b... | John is not calm. | entailment | ((?[X]:((brave(X)<~>~calm(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
(((quiet(mary)|strong(mary)))<=>(?[X]:((~rich(X)&quiet(X)))))&
((strong(alice))=>((tall(mary)<~>humble(mary))))&
((?[X]:((funny(X)<~>~old(X))))=>((quiet(alice)|strong(alice))))&
(![X]:(~brave(X)=>(happy(X)&~calm(X))))&
(![X]:((~brave(X)<~>calm(X))=>(~o... | ~calm(john) | [
"p4",
"p5",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1812543776007540356725205
% SZS output start Proof for 1812543776007540356725205
5. ! [X0] : (~brave(X0) => (~calm(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~brave(X0) <~> calm(X0)) => (~generous(X0) & ~old(X0))) [input p5]
9. ! [X0] : (humble(X0) <=> (quiet(X0) & ~tall(X0))) [input p8]
... | 0 |
Everyone who is patient or kind is either not quiet or wise and vice versa. Everyone who is wise is either old or wise. Everyone who is both not strong and not funny is both not quiet and not wise and vice versa. Everyone who is both not old and quiet is curious. If paul is generous or not brave then lucy is both gener... | Lucy is not funny. | neutral | (![X]:((patient(X)|kind(X))<=>(~quiet(X)<~>wise(X))))&
(![X]:(wise(X)=>(old(X)<~>wise(X))))&
(![X]:((~strong(X)&~funny(X))<=>(~quiet(X)&~wise(X))))&
(![X]:((~old(X)&quiet(X))=>curious(X)))&
(((generous(paul)|~brave(paul)))<=>((generous(lucy)&happy(lucy))))&
(![X]:((tall(X)|creative(X))=>(kind(X)&~funny(X))))&
(![X]:(ha... | ~funny(lucy) | [] | null | 0 |
Everyone who is tall is not calm.
Everyone who is calm is either calm or humble and vice versa.
If someone is not quiet then fred is wise or not calm and vice versa.
If someone is both kind and not rich then someone is either not funny or not rich.
If fred is both calm and wise then someone is not creative or not quiet... | Lucy is kind. | entailment | (![X]:(tall(X)=>~calm(X)))&
(![X]:(calm(X)<=>(calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))<=>((wise(fred)|~calm(fred))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(((calm(fred)&wise(fred)))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:((brave(X)|~wise(X))<=>curious(X)))&
(![X]:((rich(X)<~>~kind(X))=... | kind(lucy) | [
"p1",
"p5",
"p8",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4453061417301444794468826
% SZS output start Proof for 4453061417301444794468826
2. ! [X0] : (calm(X0) <=> (calm(X0) <~> humble(X0))) [input p1]
6. ! [X0] : ((~wise(X0) | brave(X0)) <=> curious(X0)) [input p5]
9. (patient(fred) <~> ~curious(fred)) <=> ? [X0] : tall(X0) [input p8]
11. ? [X... | 0 |
Everyone who is not tall or not quiet is not kind or not quiet. If susan is kind then john is wise or not funny and vice versa. Everyone who is not funny is either creative or happy and vice versa. Everyone who is patient or not tall is both not patient and quiet and vice versa. Everyone who is not creative or old is q... | John is quiet. | entailment | (![X]:((~tall(X)|~quiet(X))=>(~kind(X)|~quiet(X))))&
((kind(susan))<=>((wise(john)|~funny(john))))&
(![X]:(~funny(X)<=>(creative(X)<~>happy(X))))&
(![X]:((patient(X)|~tall(X))<=>(~patient(X)&quiet(X))))&
(![X]:((~creative(X)|old(X))=>quiet(X)))&
(((patient(fred)<~>~humble(fred)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:... | quiet(john) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5047116462686419765432241
% SZS output start Proof for 5047116462686419765432241
5. ! [X0] : ((old(X0) | ~creative(X0)) => quiet(X0)) [input p4]
7. ! [X0] : ((~creative(X0) <~> ~calm(X0)) <=> quiet(X0)) [input p6]
9. ! [X0] : ((brave(X0) | calm(X0)) <=> (~creative(X0) & quiet(X0))) [input... | 0 |
Everyone who is both strong and not creative is both patient and not quiet and vice versa.
If someone is either not tall or happy then paul is not curious or not wise.
If someone is patient then lucy is either not humble or wise.
Everyone who is both patient and not tall is either patient or not generous and vice versa... | Alice is not curious. | entailment | (![X]:((strong(X)&~creative(X))<=>(patient(X)&~quiet(X))))&
((?[X]:((~tall(X)<~>happy(X))))=>((~curious(paul)|~wise(paul))))&
((?[X]:(patient(X)))=>((~humble(lucy)<~>wise(lucy))))&
(![X]:((patient(X)&~tall(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:(old(X)))<=>((curious(john)|calm(john))))&
(![X]:((curious(X)|~kind(X)... | ~curious(alice) | [
"p0",
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5583909724028842763874538
% SZS output start Proof for 5583909724028842763874538
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~quiet(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (patient(X0) <~> ~generous(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | curious(X0... | 0 |
Everyone who is either not kind or not brave is either old or not kind and vice versa.
Everyone who is not rich or curious is generous or patient.
Everyone who is either tall or wise is not patient and vice versa.
Everyone who is tall or not strong is either not wise or calm and vice versa.
If someone is not rich then ... | Mary is quiet. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(old(X)<~>~kind(X))))&
(![X]:((~rich(X)|curious(X))=>(generous(X)|patient(X))))&
(![X]:((tall(X)<~>wise(X))<=>~patient(X)))&
(![X]:((tall(X)|~strong(X))<=>(~wise(X)<~>calm(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)<~>quiet(X)))))&
(![X]:(patient(X)<=>(~quiet(X)&rich(X))))&
((?[X]:((ha... | quiet(mary) | [] | null | 0 |
Everyone who is not humble or not old is not wise or wise and vice versa.
If someone is either happy or brave then someone is funny and vice versa.
Everyone who is not old is creative and vice versa.
If someone is both brave and not brave then someone is curious and vice versa.
Everyone who is patient or creative is bo... | Lucy is brave. | neutral | (![X]:((~humble(X)|~old(X))<=>(~wise(X)|wise(X))))&
((?[X]:((happy(X)<~>brave(X))))<=>(?[X]:(funny(X))))&
(![X]:(~old(X)<=>creative(X)))&
((?[X]:((brave(X)&~brave(X))))<=>(?[X]:(curious(X))))&
(![X]:((patient(X)|creative(X))=>(~patient(X)&funny(X))))&
(![X]:((tall(X)<~>~tall(X))=>(~kind(X)<~>~funny(X))))&
(![X]:((~gene... | brave(lucy) | [] | null | 0 |
If paul is creative or brave then someone is either old or kind and vice versa. Everyone who is tall is both quiet and not rich and vice versa. Everyone who is not calm is not patient and vice versa. If paul is either not quiet or patient then fred is both brave and not kind. If someone is quiet or tall then someone is... | Fred is not curious. | entailment | (((creative(paul)|brave(paul)))<=>(?[X]:((old(X)<~>kind(X)))))&
(![X]:(tall(X)<=>(quiet(X)&~rich(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(((~quiet(paul)<~>patient(paul)))=>((brave(fred)&~kind(fred))))&
((?[X]:((quiet(X)|tall(X))))=>(?[X]:((~brave(X)|humble(X)))))&
(![X]:((tall(X)|happy(X))=>~wise(X)))&
(![X]:((strong(X... | ~curious(fred) | [
"p1",
"p3",
"p6",
"p8",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3006391760354811706413303
% SZS output start Proof for 3006391760354811706413303
2. ! [X0] : (tall(X0) <=> (~rich(X0) & quiet(X0))) [input p1]
4. (~quiet(paul) <~> patient(paul)) => (~kind(fred) & brave(fred)) [input p3]
7. ! [X0] : ((~rich(X0) | strong(X0)) <=> (~funny(X0) | ~quiet(X0)))... | 0 |
Everyone who is not curious is not brave or old. Everyone who is either strong or not brave is both not patient and kind. If someone is both creative and wise then paul is either not humble or generous. Everyone who is either brave or humble is creative. If alice is both creative and calm then fred is old. If susan is ... | Susan is not humble. | contradiction | (![X]:(~curious(X)=>(~brave(X)|old(X))))&
(![X]:((strong(X)<~>~brave(X))=>(~patient(X)&kind(X))))&
((?[X]:((creative(X)&wise(X))))=>((~humble(paul)<~>generous(paul))))&
(![X]:((brave(X)<~>humble(X))=>creative(X)))&
(((creative(alice)&calm(alice)))=>(old(fred)))&
(((~funny(susan)<~>~generous(susan)))<=>(kind(fred)))&
((... | ~humble(susan) | [
"p3",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 370961065040298251314720
% SZS output start Proof for 370961065040298251314720
4. ! [X0] : ((brave(X0) <~> humble(X0)) => creative(X0)) [input p3]
8. ! [X0] : ((~calm(X0) | ~brave(X0)) => (~brave(X0) & brave(X0))) [input p7]
13. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (creative(X0) | fun... | 0 |
Everyone who is not strong is brave or wise. Everyone who is both not old and not quiet is either not funny or old and vice versa. If someone is not strong then lucy is not calm or rich and vice versa. Everyone who is both not old and wise is either not tall or not rich. Everyone who is either not old or not happy is n... | Lucy is not calm. | neutral | (![X]:(~strong(X)=>(brave(X)|wise(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~funny(X)<~>old(X))))&
((?[X]:(~strong(X)))<=>((~calm(lucy)|rich(lucy))))&
(![X]:((~old(X)&wise(X))=>(~tall(X)<~>~rich(X))))&
(![X]:((~old(X)<~>~happy(X))<=>(~brave(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((~humble(mary)&~strong(mary))... | ~calm(lucy) | [] | null | 0 |
Everyone who is both curious and not curious is not calm and vice versa.
Everyone who is both not humble and not funny is both not calm and humble and vice versa.
If lucy is either funny or kind then mary is not kind or not tall and vice versa.
Everyone who is not strong or not tall is either patient or strong and vice... | Mary is kind. | neutral | (![X]:((curious(X)&~curious(X))<=>~calm(X)))&
(![X]:((~humble(X)&~funny(X))<=>(~calm(X)&humble(X))))&
(((funny(lucy)<~>kind(lucy)))<=>((~kind(mary)|~tall(mary))))&
(![X]:((~strong(X)|~tall(X))<=>(patient(X)<~>strong(X))))&
(![X]:((generous(X)&~generous(X))<=>(~brave(X)&~patient(X))))&
(![X]:(~curious(X)=>(~old(X)|~humb... | kind(mary) | [] | null | 0 |
If paul is either funny or generous then paul is not rich.
If someone is tall then paul is kind or not curious.
If lucy is generous or not generous then someone is kind or not calm.
Everyone who is either not quiet or rich is calm or rich.
Everyone who is either rich or not old is either not tall or not old and vice ve... | Alice is not curious. | neutral | (((funny(paul)<~>generous(paul)))=>(~rich(paul)))&
((?[X]:(tall(X)))=>((kind(paul)|~curious(paul))))&
(((generous(lucy)|~generous(lucy)))=>(?[X]:((kind(X)|~calm(X)))))&
(![X]:((~quiet(X)<~>rich(X))=>(calm(X)|rich(X))))&
(![X]:((rich(X)<~>~old(X))<=>(~tall(X)<~>~old(X))))&
(((strong(alice)|patient(alice)))<=>(generous(a... | ~curious(alice) | [] | null | 0 |
Everyone who is wise or happy is both not kind and tall and vice versa.
Everyone who is either not creative or not rich is either creative or not patient and vice versa.
Everyone who is both curious and kind is either not old or not calm.
If someone is either not curious or not creative then mary is both not funny and ... | John is happy. | contradiction | (![X]:((wise(X)|happy(X))<=>(~kind(X)&tall(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((curious(X)&kind(X))=>(~old(X)<~>~calm(X))))&
((?[X]:((~curious(X)<~>~creative(X))))=>((~funny(mary)&rich(mary))))&
(![X]:((~brave(X)<~>brave(X))=>(~brave(X)|strong(X))))&
(![X]:(~strong(X)=>(~happ... | happy(john) | [
"p0",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5624962833188970828338032
% SZS output start Proof for 5624962833188970828338032
1. ! [X0] : ((happy(X0) | wise(X0)) <=> (tall(X0) & ~kind(X0))) [input p0]
6. ! [X0] : (~strong(X0) => (~calm(X0) & ~happy(X0))) [input p5]
14. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (~strong(X0) <~> tall(X0... | 0 |
Everyone who is old or happy is not humble. If lucy is both not brave and curious then fred is patient and vice versa. Everyone who is either rich or brave is both kind and happy. Everyone who is not rich or rich is both not calm and not strong and vice versa. Everyone who is not funny or not strong is not quiet and vi... | Alice is tall. | neutral | (![X]:((old(X)|happy(X))=>~humble(X)))&
(((~brave(lucy)&curious(lucy)))<=>(patient(fred)))&
(![X]:((rich(X)<~>brave(X))=>(kind(X)&happy(X))))&
(![X]:((~rich(X)|rich(X))<=>(~calm(X)&~strong(X))))&
(![X]:((~funny(X)|~strong(X))<=>~quiet(X)))&
(![X]:((~humble(X)&kind(X))<=>(rich(X)<~>~generous(X))))&
(((~humble(fred)<~>pa... | tall(alice) | [] | null | 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... | Alice is not happy. | 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))))... | ~happy(alice) | [
"p2",
"p4",
"p7",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3279152981060623575601906
% SZS output start Proof for 3279152981060623575601906
3. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p2]
5. ! [X0] : (generous(X0) <=> ~wise(X0)) [input p4]
8. ! [X0] : ((~brave(X0) | ~happy(X0)) => ~rich(X0)) [input p7]
11... | 0 |
Everyone who is tall is either generous or wise. Everyone who is either not humble or not rich is happy or funny and vice versa. If someone is either old or not wise then paul is creative or wise. Everyone who is generous is both not strong and creative. Everyone who is old is both not rich and happy and vice versa. If... | Paul is curious. | contradiction | (![X]:(tall(X)=>(generous(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(happy(X)|funny(X))))&
((?[X]:((old(X)<~>~wise(X))))=>((creative(paul)|wise(paul))))&
(![X]:(generous(X)=>(~strong(X)&creative(X))))&
(![X]:(old(X)<=>(~rich(X)&happy(X))))&
((?[X]:(~old(X)))=>(?[X]:((~quiet(X)&~rich(X)))))&
(![X]:(quiet(X)<=>~f... | curious(paul) | [
"p1",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 543387063240458388089501
% SZS output start Proof for 543387063240458388089501
2. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (funny(X0) | happy(X0))) [input p1]
5. ! [X0] : (old(X0) <=> (happy(X0) & ~rich(X0))) [input p4]
6. ? [X0] : ~old(X0) => ? [X0] : (~rich(X0) & ~quiet(X0)) [input p5]... | 0 |
If someone is either not creative or old then john is both old and not wise and vice versa.
Everyone who is either patient or not brave is funny and vice versa.
Everyone who is patient is not humble and vice versa.
Everyone who is curious or old is rich or curious.
If someone is strong then john is both not generous an... | John is rich. | entailment | ((?[X]:((~creative(X)<~>old(X))))<=>((old(john)&~wise(john))))&
(![X]:((patient(X)<~>~brave(X))<=>funny(X)))&
(![X]:(patient(X)<=>~humble(X)))&
(![X]:((curious(X)|old(X))=>(rich(X)|curious(X))))&
((?[X]:(strong(X)))=>((~generous(john)&~brave(john))))&
((?[X]:((~generous(X)&~kind(X))))<=>(?[X]:((funny(X)<~>~happy(X)))))... | rich(john) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7651457452385893955361233
% SZS output start Proof for 7651457452385893955361233
1. ? [X0] : (~creative(X0) <~> old(X0)) <=> (~wise(john) & old(john)) [input p0]
2. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=> funny(X0)) [input p1]
3. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p2]
8. ! [... | 0 |
Everyone who is either not rich or patient is not curious or happy and vice versa. Everyone who is either generous or funny is patient and vice versa. Everyone who is not patient or happy is tall and vice versa. If alice is both not old and not tall then someone is either patient or humble and vice versa. Everyone who ... | Mary is humble. | contradiction | (![X]:((~rich(X)<~>patient(X))<=>(~curious(X)|happy(X))))&
(![X]:((generous(X)<~>funny(X))<=>patient(X)))&
(![X]:((~patient(X)|happy(X))<=>tall(X)))&
(((~old(alice)&~tall(alice)))<=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((~happy(X)&~calm(X))=>(generous(X)|brave(X))))&
(![X]:((~calm(X)|happy(X))<=>(~creative(X)<~>~q... | humble(mary) | [
"p0",
"p1",
"p2",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8468650732517492748780631
% SZS output start Proof for 8468650732517492748780631
1. ! [X0] : ((~rich(X0) <~> patient(X0)) <=> (happy(X0) | ~curious(X0))) [input p0]
2. ! [X0] : ((generous(X0) <~> funny(X0)) <=> patient(X0)) [input p1]
3. ! [X0] : ((happy(X0) | ~patient(X0)) <=> tall(X0)) ... | 0 |
Everyone who is not curious is not generous or strong. If someone is either humble or not brave then someone is both funny and not humble and vice versa. If lucy is tall or strong then susan is generous and vice versa. Everyone who is not humble or kind is either rich or not curious. Everyone who is either not rich or ... | Susan is humble. | entailment | (![X]:(~curious(X)=>(~generous(X)|strong(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(((tall(lucy)|strong(lucy)))<=>(generous(susan)))&
(![X]:((~humble(X)|kind(X))=>(rich(X)<~>~curious(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~rich(X)&calm(X))))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(... | humble(susan) | [
"p1",
"p3",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7857847659719462161183659
% SZS output start Proof for 7857847659719462161183659
2. ? [X0] : (humble(X0) <~> ~brave(X0)) <=> ? [X0] : (~humble(X0) & funny(X0)) [input p1]
4. ! [X0] : ((kind(X0) | ~humble(X0)) => (rich(X0) <~> ~curious(X0))) [input p3]
5. ! [X0] : ((~rich(X0) <~> calm(X0))... | 0 |
Everyone who is either curious or old is generous or not generous and vice versa. If susan is brave then paul is generous or not rich and vice versa. Everyone who is either tall or not kind is both patient and strong and vice versa. Everyone who is generous is both not tall and old and vice versa. If lucy is old or not... | Paul is strong. | entailment | (![X]:((curious(X)<~>old(X))<=>(generous(X)|~generous(X))))&
((brave(susan))<=>((generous(paul)|~rich(paul))))&
(![X]:((tall(X)<~>~kind(X))<=>(patient(X)&strong(X))))&
(![X]:(generous(X)<=>(~tall(X)&old(X))))&
(((old(lucy)|~strong(lucy)))=>((old(susan)&~curious(susan))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
((?[X]... | strong(paul) | [
"p2",
"p3",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9154547714870314724992025
% SZS output start Proof for 9154547714870314724992025
3. ! [X0] : ((tall(X0) <~> ~kind(X0)) <=> (strong(X0) & patient(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (old(X0) & ~tall(X0))) [input p3]
8. ! [X0] : (~funny(X0) <=> kind(X0)) [input p7]
9. ? [X0] : (~... | 0 |
If lucy is calm or rich then someone is both not curious and funny and vice versa.
Everyone who is calm or strong is either not tall or not kind and vice versa.
If someone is humble then paul is funny or brave and vice versa.
If john is both tall and not creative then lucy is both not quiet and strong and vice versa.
I... | Fred is not creative. | neutral | (((calm(lucy)|rich(lucy)))<=>(?[X]:((~curious(X)&funny(X)))))&
(![X]:((calm(X)|strong(X))<=>(~tall(X)<~>~kind(X))))&
((?[X]:(humble(X)))<=>((funny(paul)|brave(paul))))&
(((tall(john)&~creative(john)))<=>((~quiet(lucy)&strong(lucy))))&
(((~kind(fred)|~calm(fred)))<=>((~old(john)|brave(john))))&
(((brave(mary)|~old(mary)... | ~creative(fred) | [] | null | 0 |
If someone is both not happy and not strong then someone is not kind. If fred is not generous or creative then fred is either not old or tall. Everyone who is quiet is not brave or curious and vice versa. Everyone who is not funny or creative is both not old and not curious and vice versa. If someone is either not old ... | Paul is not humble. | neutral | ((?[X]:((~happy(X)&~strong(X))))=>(?[X]:(~kind(X))))&
(((~generous(fred)|creative(fred)))=>((~old(fred)<~>tall(fred))))&
(![X]:(quiet(X)<=>(~brave(X)|curious(X))))&
(![X]:((~funny(X)|creative(X))<=>(~old(X)&~curious(X))))&
((?[X]:((~old(X)<~>strong(X))))=>(?[X]:((~kind(X)&~generous(X)))))&
(![X]:(brave(X)<=>(~funny(X)&... | ~humble(paul) | [] | null | 0 |
If someone is curious then someone is not tall or patient.
Everyone who is both old and tall is both wise and kind and vice versa.
Everyone who is both not humble and brave is creative or not humble.
If someone is not humble or not old then someone is not rich or not kind and vice versa.
Everyone who is old or not tall... | Fred is old. | contradiction | ((?[X]:(curious(X)))=>(?[X]:((~tall(X)|patient(X)))))&
(![X]:((old(X)&tall(X))<=>(wise(X)&kind(X))))&
(![X]:((~humble(X)&brave(X))=>(creative(X)|~humble(X))))&
((?[X]:((~humble(X)|~old(X))))<=>(?[X]:((~rich(X)|~kind(X)))))&
(![X]:((old(X)|~tall(X))<=>(~old(X)&~rich(X))))&
(![X]:(~old(X)<=>humble(X)))&
(((~brave(lucy)<~... | old(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4015531709969462825310621
% SZS output start Proof for 4015531709969462825310621
5. ! [X0] : ((~tall(X0) | old(X0)) <=> (~rich(X0) & ~old(X0))) [input p4]
23. old(fred) [input hypothesis]
47. ! [X0] : (((~tall(X0) | old(X0)) | (rich(X0) | old(X0))) & ((~rich(X0) & ~old(X0)) | (tall(X0) & ... | 0 |
If someone is either kind or old then john is either brave or calm and vice versa.
Everyone who is not humble is humble.
If lucy is both curious and tall then someone is strong or not patient and vice versa.
Everyone who is happy is both rich and not kind and vice versa.
Everyone who is not strong or not happy is not f... | Fred is strong. | contradiction | ((?[X]:((kind(X)<~>old(X))))<=>((brave(john)<~>calm(john))))&
(![X]:(~humble(X)=>humble(X)))&
(((curious(lucy)&tall(lucy)))<=>(?[X]:((strong(X)|~patient(X)))))&
(![X]:(happy(X)<=>(rich(X)&~kind(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~funny(X)|calm(X))))&
(((rich(fred)|wise(fred)))<=>((~tall(mary)&~calm(mary))))&
(![X]... | strong(fred) | [
"p1",
"p2",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5246200152168780442685016
% SZS output start Proof for 5246200152168780442685016
2. ! [X0] : (~humble(X0) => humble(X0)) [input p1]
3. (tall(lucy) & curious(lucy)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p2]
14. curious(lucy) => ? [X0] : (kind(X0) & ~quiet(X0)) [input p13]
15. ? [... | 0 |
Everyone who is both not strong and old is not funny. If susan is patient then john is either not old or happy and vice versa. If someone is happy or wise then mary is both not generous and humble and vice versa. Everyone who is either not quiet or not creative is either creative or not tall and vice versa. Everyone wh... | Paul is not calm. | entailment | (![X]:((~strong(X)&old(X))=>~funny(X)))&
((patient(susan))<=>((~old(john)<~>happy(john))))&
((?[X]:((happy(X)|wise(X))))<=>((~generous(mary)&humble(mary))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(creative(X)<~>~tall(X))))&
(![X]:((calm(X)<~>generous(X))<=>~old(X)))&
(![X]:(happy(X)=>~calm(X)))&
(![X]:((~tall(X)&~happy(X... | ~calm(paul) | [
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 99878885267688448228856
% SZS output start Proof for 99878885267688448228856
5. ! [X0] : ((calm(X0) <~> generous(X0)) <=> ~old(X0)) [input p4]
20. ~old(paul) & generous(paul) [input p19]
25. calm(paul) [input hypothesis]
45. ! [X0] : ((((~generous(X0) | ~calm(X0)) & (generous(X0) | calm(X... | 0 |
If someone is both not curious and not calm then someone is tall or not tall.
Everyone who is either quiet or not brave is either not funny or tall and vice versa.
If paul is rich or not strong then mary is either strong or not funny and vice versa.
If someone is both not generous and humble then fred is both rich and ... | Alice is not generous. | neutral | ((?[X]:((~curious(X)&~calm(X))))=>(?[X]:((tall(X)|~tall(X)))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~funny(X)<~>tall(X))))&
(((rich(paul)|~strong(paul)))<=>((strong(mary)<~>~funny(mary))))&
((?[X]:((~generous(X)&humble(X))))=>((rich(fred)&curious(fred))))&
((~curious(paul))<=>(?[X]:(~creative(X))))&
((?[X]:((strong(X)&~ol... | ~generous(alice) | [] | null | 0 |
If paul is funny or humble then lucy is both not generous and not strong and vice versa.
If someone is old then john is either not happy or brave.
If someone is both humble and not generous then john is old or curious and vice versa.
If someone is either not humble or generous then someone is not kind or calm and vice ... | Alice is kind. | neutral | (((funny(paul)|humble(paul)))<=>((~generous(lucy)&~strong(lucy))))&
((?[X]:(old(X)))=>((~happy(john)<~>brave(john))))&
((?[X]:((humble(X)&~generous(X))))<=>((old(john)|curious(john))))&
((?[X]:((~humble(X)<~>generous(X))))<=>(?[X]:((~kind(X)|calm(X)))))&
(((happy(fred)&patient(fred)))=>(?[X]:((calm(X)|happy(X)))))&
(![... | kind(alice) | [] | null | 0 |
Everyone who is either not kind or funny is both old and happy and vice versa.
If someone is either calm or not brave then someone is not calm or not creative and vice versa.
Everyone who is either wise or not patient is both not calm and not quiet and vice versa.
If paul is both not curious and tall then john is eithe... | Mary is not generous. | entailment | (![X]:((~kind(X)<~>funny(X))<=>(old(X)&happy(X))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((wise(X)<~>~patient(X))<=>(~calm(X)&~quiet(X))))&
(((~curious(paul)&tall(paul)))<=>((curious(john)<~>~patient(john))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:((old(X)&quiet(X)))))&
(![X]:((tal... | ~generous(mary) | [
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 218895174253989825875446
% SZS output start Proof for 218895174253989825875446
6. ! [X0] : ((tall(X0) <~> happy(X0)) => (~creative(X0) <~> ~happy(X0))) [input p5]
8. ! [X0] : ((~tall(X0) <~> happy(X0)) => (wise(X0) & happy(X0))) [input p7]
9. ? [X0] : (creative(X0) & ~tall(X0)) <=> ? [X0]... | 0 |
If someone is calm or not rich then someone is both not strong and not creative and vice versa.
Everyone who is patient or generous is both not brave and not calm and vice versa.
Everyone who is both funny and not funny is not humble or calm.
If someone is brave then mary is either curious or old and vice versa.
If mar... | Fred is not generous. | entailment | ((?[X]:((calm(X)|~rich(X))))<=>(?[X]:((~strong(X)&~creative(X)))))&
(![X]:((patient(X)|generous(X))<=>(~brave(X)&~calm(X))))&
(![X]:((funny(X)&~funny(X))=>(~humble(X)|calm(X))))&
((?[X]:(brave(X)))<=>((curious(mary)<~>old(mary))))&
((quiet(mary))=>(happy(fred)))&
(((humble(john)<~>funny(john)))=>((brave(mary)&creative(... | ~generous(fred) | [
"p1",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7220989080242555696395232
% SZS output start Proof for 7220989080242555696395232
2. ! [X0] : ((generous(X0) | patient(X0)) <=> (~calm(X0) & ~brave(X0))) [input p1]
9. ! [X0] : ((~curious(X0) | ~funny(X0)) <=> (funny(X0) & humble(X0))) [input p8]
12. ! [X0] : ((generous(X0) <~> ~calm(X0)) ... | 0 |
Everyone who is not wise is both funny and not creative and vice versa.
Everyone who is not calm or funny is not creative and vice versa.
If someone is both curious and not happy then susan is either not old or not tall and vice versa.
Everyone who is not creative is generous and vice versa.
Everyone who is both creati... | Susan is not calm. | contradiction | (![X]:(~wise(X)<=>(funny(X)&~creative(X))))&
(![X]:((~calm(X)|funny(X))<=>~creative(X)))&
((?[X]:((curious(X)&~happy(X))))<=>((~old(susan)<~>~tall(susan))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((creative(X)&happy(X))<=>(~happy(X)&~rich(X))))&
((?[X]:((strong(X)<~>~tall(X))))=>(brave(susan)))&
(![X]:((~happy(X)&... | ~calm(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1238058425542526673356787
% SZS output start Proof for 1238058425542526673356787
20. calm(susan) [input p19]
25. ~calm(susan) [input hypothesis]
138. calm(susan) [cnf transformation 20]
145. ~calm(susan) [cnf transformation 25]
312. $false [subsumption resolution 145,138]
% SZS output end... | 0 |
If lucy is either wise or not funny then lucy is quiet or not happy and vice versa.
If paul is curious or brave then someone is humble.
Everyone who is both wise and not humble is both calm and wise.
Everyone who is both old and not funny is both funny and strong and vice versa.
Everyone who is kind is both funny and n... | Lucy is funny. | entailment | (((wise(lucy)<~>~funny(lucy)))<=>((quiet(lucy)|~happy(lucy))))&
(((curious(paul)|brave(paul)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&~humble(X))=>(calm(X)&wise(X))))&
(![X]:((old(X)&~funny(X))<=>(funny(X)&strong(X))))&
(![X]:(kind(X)=>(funny(X)&~strong(X))))&
(![X]:((rich(X)&~curious(X))<=>(~creative(X)&creative(X))))&... | funny(lucy) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4551871142652752713384661
% SZS output start Proof for 4551871142652752713384661
5. ! [X0] : (kind(X0) => (~strong(X0) & funny(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & ~tall(X0)) <=> ~kind(X0)) [input p6]
8. ? [X0] : (generous(X0) | ~patient(X0)) => ? [X0] : (~funny(X0) & ~strong(X0)) ... | 0 |
Everyone who is either strong or not humble is not old or strong and vice versa.
Everyone who is either creative or funny is both kind and not generous and vice versa.
If susan is either generous or happy then someone is either not tall or not funny.
If someone is old then paul is either not calm or old.
Everyone who i... | Paul is brave. | contradiction | (![X]:((strong(X)<~>~humble(X))<=>(~old(X)|strong(X))))&
(![X]:((creative(X)<~>funny(X))<=>(kind(X)&~generous(X))))&
(((generous(susan)<~>happy(susan)))=>(?[X]:((~tall(X)<~>~funny(X)))))&
((?[X]:(old(X)))=>((~calm(paul)<~>old(paul))))&
(![X]:(~old(X)=>(~brave(X)&wise(X))))&
(![X]:((~curious(X)&~quiet(X))=>(kind(X)<~>~w... | brave(paul) | [
"p0",
"p3",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 766433209147262230153043
% SZS output start Proof for 766433209147262230153043
1. ! [X0] : ((strong(X0) <~> ~humble(X0)) <=> (strong(X0) | ~old(X0))) [input p0]
4. ? [X0] : old(X0) => (~calm(paul) <~> old(paul)) [input p3]
5. ! [X0] : (~old(X0) => (wise(X0) & ~brave(X0))) [input p4]
10. !... | 0 |
Everyone who is either funny or rich is both brave and not strong.
If someone is not tall or not kind then alice is both not quiet and not patient and vice versa.
If lucy is either not happy or not humble then susan is creative.
If someone is either not patient or curious then someone is wise or not patient.
Everyone w... | Lucy is calm. | contradiction | (![X]:((funny(X)<~>rich(X))=>(brave(X)&~strong(X))))&
((?[X]:((~tall(X)|~kind(X))))<=>((~quiet(alice)&~patient(alice))))&
(((~happy(lucy)<~>~humble(lucy)))=>(creative(susan)))&
((?[X]:((~patient(X)<~>curious(X))))=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((funny(X)<~>happy(X))<=>(strong(X)<~>~happy(X))))&
(![X]:((creati... | calm(lucy) | [
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8791859567395783964434886
% SZS output start Proof for 8791859567395783964434886
11. ! [X0] : ((~quiet(X0) & ~calm(X0)) <=> (patient(X0) | old(X0))) [input p10]
14. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (quiet(X0) & ~wise(X0))) [input p13]
22. ~wise(lucy) [input p21]
25. calm(lucy) [... | 0 |
Everyone who is not kind is tall or not curious.
Everyone who is creative or not patient is not kind and vice versa.
If someone is not funny then susan is both not wise and patient and vice versa.
If someone is either curious or tall then someone is either not happy or not generous and vice versa.
Everyone who is creat... | Alice is not calm. | entailment | (![X]:(~kind(X)=>(tall(X)|~curious(X))))&
(![X]:((creative(X)|~patient(X))<=>~kind(X)))&
((?[X]:(~funny(X)))<=>((~wise(susan)&patient(susan))))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:((creative(X)|~humble(X))=>curious(X)))&
(((~creative(john)&~curious(john)))=>((~curious(mary)&~... | ~calm(alice) | [
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6066892359468438994957817
% SZS output start Proof for 6066892359468438994957817
5. ! [X0] : ((~humble(X0) | creative(X0)) => curious(X0)) [input p4]
7. ! [X0] : (humble(X0) <=> (~curious(X0) & creative(X0))) [input p6]
11. ? [X0] : (funny(X0) | calm(X0)) => ? [X0] : (strong(X0) & humble(... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is rich is either creative or not calm and vice versa.
If someone is either curious or creative then susan is either calm or creative.
If mary is generous then someone is not... | Susan is not strong. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(rich(X)<=>(creative(X)<~>~calm(X))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)... | ~strong(susan) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 366417170627980887364333
% SZS output start Proof for 366417170627980887364333
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : (rich(X0) <=> (creative(X0) <~> ~calm(X0))) [input p2]
7. ! [X0] : ((~tall(X0) <~> ~calm(X0)) => ~rich(X0)) [input p6]
9. ! [X0] : (~... | 0 |
If someone is both not creative and quiet then someone is either not tall or not kind.
Everyone who is strong or not rich is not quiet or not calm and vice versa.
Everyone who is both happy and brave is both not happy and strong and vice versa.
Everyone who is old or not funny is not curious or happy and vice versa.
Ev... | Mary is not patient. | contradiction | ((?[X]:((~creative(X)&quiet(X))))=>(?[X]:((~tall(X)<~>~kind(X)))))&
(![X]:((strong(X)|~rich(X))<=>(~quiet(X)|~calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~happy(X)&strong(X))))&
(![X]:((old(X)|~funny(X))<=>(~curious(X)|happy(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~calm(X)|~generous(X))))&
(((~generous(fred)&quiet(fre... | ~patient(mary) | [
"p1",
"p2",
"p6",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6780116167121385120912164
% SZS output start Proof for 6780116167121385120912164
2. ! [X0] : ((~rich(X0) | strong(X0)) <=> (~calm(X0) | ~quiet(X0))) [input p1]
3. ! [X0] : ((brave(X0) & happy(X0)) <=> (strong(X0) & ~happy(X0))) [input p2]
7. ! [X0] : (~quiet(X0) <=> (~patient(X0) | curiou... | 0 |
Everyone who is either not kind or kind is both not brave and calm and vice versa.
If paul is either strong or not humble then someone is both not strong and not brave.
Everyone who is both not old and generous is either not old or patient and vice versa.
Everyone who is not brave is either kind or curious.
If mary is ... | Fred is not patient. | contradiction | (![X]:((~kind(X)<~>kind(X))<=>(~brave(X)&calm(X))))&
(((strong(paul)<~>~humble(paul)))=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~old(X)&generous(X))<=>(~old(X)<~>patient(X))))&
(![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan))... | ~patient(fred) | [
"p0",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2798434136187994612515601
% SZS output start Proof for 2798434136187994612515601
1. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (calm(X0) & ~brave(X0))) [input p0]
12. ! [X0] : ((~patient(X0) | ~happy(X0)) => (generous(X0) & ~happy(X0))) [input p11]
15. ! [X0] : ((~generous(X0) | ~strong(X0)) ... | 0 |
Everyone who is either not happy or curious is not curious and vice versa.
If someone is both generous and not curious then someone is either old or generous and vice versa.
Everyone who is both strong and not curious is either funny or calm and vice versa.
If fred is not strong then someone is both brave and not patie... | Paul is not old. | neutral | (![X]:((~happy(X)<~>curious(X))<=>~curious(X)))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((strong(X)&~curious(X))<=>(funny(X)<~>calm(X))))&
((~strong(fred))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~kind(X)&~patient(X))))&
(![X]:((happy(X)&~quiet(X))<=>(kind(X)<~>~ta... | ~old(paul) | [] | null | 0 |
Everyone who is either not patient or wise is not curious and vice versa.
Everyone who is patient or old is both not tall and brave and vice versa.
Everyone who is either not tall or creative is both not curious and happy and vice versa.
Everyone who is not funny is not wise.
Everyone who is not quiet is happy or tall ... | Lucy is funny. | neutral | (![X]:((~patient(X)<~>wise(X))<=>~curious(X)))&
(![X]:((patient(X)|old(X))<=>(~tall(X)&brave(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~curious(X)&happy(X))))&
(![X]:(~funny(X)=>~wise(X)))&
(![X]:(~quiet(X)<=>(happy(X)|tall(X))))&
(![X]:((curious(X)|old(X))=>(~wise(X)<~>curious(X))))&
(((~patient(john)|old(john)))<=>(?... | funny(lucy) | [] | null | 0 |
If alice is not strong or not curious then someone is either not wise or creative and vice versa.
If lucy is not generous then someone is quiet or rich and vice versa.
If mary is both not happy and not generous then alice is either strong or happy and vice versa.
If someone is either happy or not humble then lucy is br... | Alice is old. | contradiction | (((~strong(alice)|~curious(alice)))<=>(?[X]:((~wise(X)<~>creative(X)))))&
((~generous(lucy))<=>(?[X]:((quiet(X)|rich(X)))))&
(((~happy(mary)&~generous(mary)))<=>((strong(alice)<~>happy(alice))))&
((?[X]:((happy(X)<~>~humble(X))))=>((brave(lucy)|~rich(lucy))))&
(![X]:((~curious(X)&calm(X))<=>(~generous(X)<~>~brave(X))))... | old(alice) | [
"p10",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2579316309076546291667248
% SZS output start Proof for 2579316309076546291667248
11. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input p10]
12. ! [X0] : (funny(X0) <=> ~creative(X0)) [input p11]
16. ! [X0] : ((~creative(X0) <~> ~old(X0)) <=> (creative(X0) & funny(X0))) [input p15... | 0 |
If someone is curious or not old then mary is not wise.
If mary is both old and curious then john is either not tall or calm.
If someone is not kind then someone is both patient and not patient and vice versa.
If someone is brave or not generous then someone is not brave or not rich and vice versa.
Everyone who is not ... | Susan is not curious. | contradiction | ((?[X]:((curious(X)|~old(X))))=>(~wise(mary)))&
(((old(mary)&curious(mary)))=>((~tall(john)<~>calm(john))))&
((?[X]:(~kind(X)))<=>(?[X]:((patient(X)&~patient(X)))))&
((?[X]:((brave(X)|~generous(X))))<=>(?[X]:((~brave(X)|~rich(X)))))&
(![X]:(~kind(X)=>(happy(X)&strong(X))))&
((?[X]:((~patient(X)&~tall(X))))<=>(?[X]:((ki... | ~curious(susan) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2187453031467473799301212
% SZS output start Proof for 2187453031467473799301212
3. ? [X0] : ~kind(X0) <=> ? [X0] : (~patient(X0) & patient(X0)) [input p2]
9. ? [X0] : ~old(X0) <=> ? [X0] : (kind(X0) & ~curious(X0)) [input p8]
13. ! [X0] : ((old(X0) & rich(X0)) <=> (~humble(X0) <~> humble... | 0 |
Everyone who is not curious or not happy is either kind or not happy and vice versa. Everyone who is creative is both not patient and wise and vice versa. Everyone who is both patient and not brave is both not happy and brave. If mary is both kind and not tall then fred is creative or not old. Everyone who is either st... | Fred is not rich. | entailment | (![X]:((~curious(X)|~happy(X))<=>(kind(X)<~>~happy(X))))&
(![X]:(creative(X)<=>(~patient(X)&wise(X))))&
(![X]:((patient(X)&~brave(X))=>(~happy(X)&brave(X))))&
(((kind(mary)&~tall(mary)))=>((creative(fred)|~old(fred))))&
(![X]:((strong(X)<~>~calm(X))<=>rich(X)))&
(((happy(mary)&~patient(mary)))=>(?[X]:((funny(X)|~funny(... | ~rich(fred) | [
"p4",
"p6",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8493942971150335347774702
% SZS output start Proof for 8493942971150335347774702
5. ! [X0] : ((strong(X0) <~> ~calm(X0)) <=> rich(X0)) [input p4]
7. ! [X0] : ((humble(X0) | ~funny(X0)) <=> brave(X0)) [input p6]
13. ! [X0] : ((~strong(X0) & brave(X0)) <=> (humble(X0) & calm(X0))) [input p1... | 0 |
Everyone who is generous or creative is either old or not curious.
If alice is both not brave and funny then someone is either not rich or brave and vice versa.
Everyone who is both old and not kind is quiet or wise.
Everyone who is humble or curious is both not calm and old and vice versa.
If fred is either happy or n... | Fred is not strong. | entailment | (![X]:((generous(X)|creative(X))=>(old(X)<~>~curious(X))))&
(((~brave(alice)&funny(alice)))<=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|wise(X))))&
(![X]:((humble(X)|curious(X))<=>(~calm(X)&old(X))))&
(((happy(fred)<~>~patient(fred)))=>((brave(fred)<~>~strong(fred))))&
(![X]:((old(X)<~>~gener... | ~strong(fred) | [
"p4",
"p7",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6784901556308390475854797
% SZS output start Proof for 6784901556308390475854797
5. (happy(fred) <~> ~patient(fred)) => (brave(fred) <~> ~strong(fred)) [input p4]
8. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (calm(X0) | old(X0))) [input p7]
10. ! [X0] : ((old(X0) <~> ~happy(X0)) => (~old... | 0 |
Everyone who is either not curious or not old is kind.
If mary is both humble and not creative then someone is not creative.
If mary is either tall or not patient then lucy is curious or humble and vice versa.
If someone is both not generous and tall then lucy is patient or not curious.
If someone is not patient then l... | Lucy is not strong. | entailment | (![X]:((~curious(X)<~>~old(X))=>kind(X)))&
(((humble(mary)&~creative(mary)))=>(?[X]:(~creative(X))))&
(((tall(mary)<~>~patient(mary)))<=>((curious(lucy)|humble(lucy))))&
((?[X]:((~generous(X)&tall(X))))=>((patient(lucy)|~curious(lucy))))&
((?[X]:(~patient(X)))<=>(strong(lucy)))&
((?[X]:((~brave(X)|generous(X))))<=>((ta... | ~strong(lucy) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7368548486030259386762992
% SZS output start Proof for 7368548486030259386762992
7. ! [X0] : ((~funny(X0) & curious(X0)) <=> (tall(X0) | funny(X0))) [input p6]
12. ! [X0] : ((curious(X0) | ~funny(X0)) => (~brave(X0) & ~strong(X0))) [input p11]
24. strong(lucy) [input hypothesis]
35. ! [X0... | 0 |
If someone is tall then john is both not generous and not old and vice versa.
If someone is wise or generous then lucy is both rich and patient.
If susan is both strong and curious then susan is not happy and vice versa.
If someone is strong or generous then someone is not old and vice versa.
If someone is happy then s... | John is generous. | contradiction | ((?[X]:(tall(X)))<=>((~generous(john)&~old(john))))&
((?[X]:((wise(X)|generous(X))))=>((rich(lucy)&patient(lucy))))&
(((strong(susan)&curious(susan)))<=>(~happy(susan)))&
((?[X]:((strong(X)|generous(X))))<=>(?[X]:(~old(X))))&
((?[X]:(happy(X)))<=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:((~wise(X)<~>patient(X))<=>~ki... | generous(john) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8104138232075368785615745
% SZS output start Proof for 8104138232075368785615745
1. ? [X0] : tall(X0) <=> (~old(john) & ~generous(john)) [input p0]
24. ? [X0] : (wise(X0) & tall(X0)) [input p23]
25. generous(john) [input hypothesis]
43. (? [X0] : tall(X0) | (old(john) | generous(john))) &... | 0 |
If someone is humble then lucy is either happy or creative. If mary is either patient or not generous then someone is not old or funny and vice versa. If someone is both not wise and creative then someone is not strong. Everyone who is both not calm and not old is not quiet or curious. Everyone who is creative or not k... | Lucy is funny. | entailment | ((?[X]:(humble(X)))=>((happy(lucy)<~>creative(lucy))))&
(((patient(mary)<~>~generous(mary)))<=>(?[X]:((~old(X)|funny(X)))))&
((?[X]:((~wise(X)&creative(X))))=>(?[X]:(~strong(X))))&
(![X]:((~calm(X)&~old(X))=>(~quiet(X)|curious(X))))&
(![X]:((creative(X)|~kind(X))<=>(calm(X)<~>patient(X))))&
((?[X]:(~creative(X)))<=>((~... | funny(lucy) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6446893681498588454167614
% SZS output start Proof for 6446893681498588454167614
24. funny(lucy) [input p23]
25. ~funny(lucy) [input hypothesis]
140. funny(lucy) [cnf transformation 24]
141. ~funny(lucy) [cnf transformation 25]
265. $false [subsumption resolution 141,140]
% SZS output end... | 0 |
Everyone who is strong is both curious and not quiet and vice versa.
If someone is old or not old then someone is quiet and vice versa.
Everyone who is not funny or not rich is both humble and not curious and vice versa.
If someone is not creative or strong then mary is not strong or not funny and vice versa.
Everyone ... | Paul is not patient. | entailment | (![X]:(strong(X)<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(humble(X)&~curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>((~strong(mary)|~funny(mary))))&
(![X]:((happy(X)<~>wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>~funny(X... | ~patient(paul) | [
"p0",
"p2",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4347011192651648159526289
% SZS output start Proof for 4347011192651648159526289
1. ! [X0] : (strong(X0) <=> (~quiet(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) & humble(X0))) [input p2]
7. ! [X0] : (~strong(X0) <=> (kind(X0) & creative(X0))) [in... | 0 |
If paul is either not tall or not funny then someone is either not tall or funny and vice versa.
Everyone who is not kind is humble or not generous.
If someone is not wise or not old then someone is not kind.
If someone is curious or not quiet then someone is creative or happy.
Everyone who is not wise or not brave is ... | Lucy is funny. | entailment | (((~tall(paul)<~>~funny(paul)))<=>(?[X]:((~tall(X)<~>funny(X)))))&
(![X]:(~kind(X)=>(humble(X)|~generous(X))))&
((?[X]:((~wise(X)|~old(X))))=>(?[X]:(~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((~wise(X)|~brave(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~kind(X)<~>strong(X))<=>(q... | funny(lucy) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4266618751438231387626243
% SZS output start Proof for 4266618751438231387626243
11. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p10]
17. kind(lucy) [input p16]
25. ~funny(lucy) [input hypothesis]
63. ! [X0] : (((~creative(X0) & ~kind(X0)) | (funny(X0) & qu... | 0 |
Everyone who is either not funny or not old is tall and vice versa.
If john is not tall then someone is either not calm or quiet.
Everyone who is not kind is not funny.
If lucy is either kind or quiet then someone is both generous and not patient.
Everyone who is not rich or not creative is not humble and vice versa.
I... | John is not wise. | contradiction | (![X]:((~funny(X)<~>~old(X))<=>tall(X)))&
((~tall(john))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(~kind(X)=>~funny(X)))&
(((kind(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&~patient(X)))))&
(![X]:((~rich(X)|~creative(X))<=>~humble(X)))&
((?[X]:((~creative(X)&~generous(X))))<=>((~old(mary)|~kind(mary))))&
(![X]:((~humble... | ~wise(john) | [
"p6",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 462567934594269848164860
% SZS output start Proof for 462567934594269848164860
7. ! [X0] : ((brave(X0) & ~humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p6]
9. (rich(paul) & ~calm(paul)) <=> ? [X0] : humble(X0) [input p8]
11. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (generous(X0) <~> ~hu... | 0 |
If someone is not happy or not wise then paul is either patient or generous and vice versa. If mary is old then lucy is not happy or brave. Everyone who is tall or not old is not generous. Everyone who is both not curious and not wise is quiet or generous and vice versa. If fred is both patient and curious then someone... | John is brave. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((patient(paul)<~>generous(paul))))&
((old(mary))=>((~happy(lucy)|brave(lucy))))&
(![X]:((tall(X)|~old(X))=>~generous(X)))&
(![X]:((~curious(X)&~wise(X))<=>(quiet(X)|generous(X))))&
(((patient(fred)&curious(fred)))=>(?[X]:(~funny(X))))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)&generous(X... | brave(john) | [
"p2",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4137959268062036136461728
% SZS output start Proof for 4137959268062036136461728
3. ! [X0] : ((~old(X0) | tall(X0)) => ~generous(X0)) [input p2]
8. ! [X0] : (~funny(X0) => wise(X0)) [input p7]
9. (~generous(john) | ~brave(john)) <=> (~funny(susan) & ~creative(susan)) [input p8]
11. ? [X0]... | 0 |
Everyone who is not old is both not generous and not kind and vice versa.
Everyone who is both not kind and not calm is both funny and tall.
If someone is either rich or happy then someone is calm and vice versa.
If someone is not humble then someone is generous or not creative.
Everyone who is not generous or not tall... | John is curious. | neutral | (![X]:(~old(X)<=>(~generous(X)&~kind(X))))&
(![X]:((~kind(X)&~calm(X))=>(funny(X)&tall(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~humble(X)))=>(?[X]:((generous(X)|~creative(X)))))&
(![X]:((~generous(X)|~tall(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((~creative(X)&~rich(X))<=>(~brave(X)&humble(X)... | curious(john) | [] | null | 0 |
If someone is old then paul is both not calm and quiet and vice versa. Everyone who is not tall or old is quiet. If someone is both not quiet and quiet then someone is strong or not humble and vice versa. If john is either not patient or wise then alice is kind. Everyone who is curious is kind or old. Everyone who is n... | Lucy is not kind. | neutral | ((?[X]:(old(X)))<=>((~calm(paul)&quiet(paul))))&
(![X]:((~tall(X)|old(X))=>quiet(X)))&
((?[X]:((~quiet(X)&quiet(X))))<=>(?[X]:((strong(X)|~humble(X)))))&
(((~patient(john)<~>wise(john)))=>(kind(alice)))&
(![X]:(curious(X)=>(kind(X)|old(X))))&
(![X]:((~humble(X)|happy(X))<=>~patient(X)))&
(![X]:((curious(X)<~>~rich(X))<... | ~kind(lucy) | [] | null | 0 |
Everyone who is not strong or not funny is either not patient or not curious and vice versa.
If someone is either not patient or not old then someone is either quiet or rich and vice versa.
Everyone who is strong or curious is both not wise and not brave.
Everyone who is not funny is both not generous and quiet and vic... | Fred is curious. | neutral | (![X]:((~strong(X)|~funny(X))<=>(~patient(X)<~>~curious(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(![X]:((strong(X)|curious(X))=>(~wise(X)&~brave(X))))&
(![X]:(~funny(X)<=>(~generous(X)&quiet(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((calm(susan)<~>rich(susan))))&
((?[X]:((~calm(X)<~>c... | curious(fred) | [] | null | 0 |
Everyone who is not creative is not creative or not quiet. If alice is not humble then someone is both rich and happy. Everyone who is not patient is rich or not calm. If john is not humble or calm then mary is funny and vice versa. If mary is not funny then fred is both not funny and not tall. If someone is humble or ... | Susan is not rich. | neutral | (![X]:(~creative(X)=>(~creative(X)|~quiet(X))))&
((~humble(alice))=>(?[X]:((rich(X)&happy(X)))))&
(![X]:(~patient(X)=>(rich(X)|~calm(X))))&
(((~humble(john)|calm(john)))<=>(funny(mary)))&
((~funny(mary))=>((~funny(fred)&~tall(fred))))&
((?[X]:((humble(X)|calm(X))))=>((~strong(paul)|~kind(paul))))&
(((~quiet(alice)|pati... | ~rich(susan) | [] | null | 0 |
Everyone who is creative is both not quiet and not calm and vice versa.
If paul is not creative then someone is either strong or calm.
Everyone who is either humble or not funny is tall or not generous and vice versa.
Everyone who is not kind is rich.
If paul is patient or not generous then someone is either not rich o... | Paul is not wise. | neutral | (![X]:(creative(X)<=>(~quiet(X)&~calm(X))))&
((~creative(paul))=>(?[X]:((strong(X)<~>calm(X)))))&
(![X]:((humble(X)<~>~funny(X))<=>(tall(X)|~generous(X))))&
(![X]:(~kind(X)=>rich(X)))&
(((patient(paul)|~generous(paul)))<=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:(happy(X)=>(quiet(X)&wise(X))))&
((?[X]:((~happy(X)&tall(X))... | ~wise(paul) | [] | null | 0 |
Everyone who is generous or not kind is either not old or not strong and vice versa.
Everyone who is either quiet or strong is both not tall and not wise and vice versa.
Everyone who is strong or not wise is both not humble and kind and vice versa.
Everyone who is either generous or not calm is not strong.
Everyone who... | John is wise. | entailment | (![X]:((generous(X)|~kind(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(~tall(X)&~wise(X))))&
(![X]:((strong(X)|~wise(X))<=>(~humble(X)&kind(X))))&
(![X]:((generous(X)<~>~calm(X))=>~strong(X)))&
(![X]:((~kind(X)&~rich(X))=>(creative(X)&~brave(X))))&
(![X]:((happy(X)|brave(X))=>rich(X)))&
(((rich(alic... | wise(john) | [
"p2",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5189981131757969217829404
% SZS output start Proof for 5189981131757969217829404
3. ! [X0] : ((~wise(X0) | strong(X0)) <=> (kind(X0) & ~humble(X0))) [input p2]
12. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (brave(X0) <~> ~old(X0))) [input p11]
13. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~old(... | 0 |
Everyone who is not tall or not rich is both wise and not happy and vice versa. If someone is strong or happy then someone is either not patient or not wise. Everyone who is either strong or old is both not humble and not strong. If someone is not generous then susan is either not quiet or not kind. Everyone who is bot... | Susan is funny. | entailment | (![X]:((~tall(X)|~rich(X))<=>(wise(X)&~happy(X))))&
((?[X]:((strong(X)|happy(X))))=>(?[X]:((~patient(X)<~>~wise(X)))))&
(![X]:((strong(X)<~>old(X))=>(~humble(X)&~strong(X))))&
((?[X]:(~generous(X)))=>((~quiet(susan)<~>~kind(susan))))&
(![X]:((creative(X)&rich(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((curious(X)<~>~tall(X))... | funny(susan) | [
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5618302733184605274980608
% SZS output start Proof for 5618302733184605274980608
15. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(X0))) [input p14]
16. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (tall(X0) | ~curious(X0))) [input p15]
20. funny(susan) | ~humble(susan) [input p1... | 0 |
Everyone who is patient or not quiet is both kind and quiet.
If someone is quiet or not happy then mary is happy.
If susan is either not kind or not generous then lucy is generous.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is ... | Mary is curious. | entailment | (![X]:((patient(X)|~quiet(X))=>(kind(X)&quiet(X))))&
((?[X]:((quiet(X)|~happy(X))))=>(happy(mary)))&
(((~kind(susan)<~>~generous(susan)))=>(generous(lucy)))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<... | curious(mary) | [
"p0",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3866067751774587958904089
% SZS output start Proof for 3866067751774587958904089
1. ! [X0] : ((~quiet(X0) | patient(X0)) => (quiet(X0) & kind(X0))) [input p0]
6. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p5]
10. ? [X0] : (~humble(X0) & ~curious(X0)) <=> ? [X0] : (brave(X0... | 0 |
If someone is both generous and not calm then mary is either happy or not funny and vice versa.
Everyone who is either happy or not humble is both rich and not strong.
If someone is generous or not curious then someone is either old or generous.
Everyone who is funny is either not old or strong.
If fred is either not o... | Fred is not strong. | entailment | ((?[X]:((generous(X)&~calm(X))))<=>((happy(mary)<~>~funny(mary))))&
(![X]:((happy(X)<~>~humble(X))=>(rich(X)&~strong(X))))&
((?[X]:((generous(X)|~curious(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(funny(X)=>(~old(X)<~>strong(X))))&
(((~old(fred)<~>~creative(fred)))<=>((~old(lucy)&patient(lucy))))&
(![X]:((old(X)&~... | ~strong(fred) | [
"p1",
"p7",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2890760567389919931672137
% SZS output start Proof for 2890760567389919931672137
2. ! [X0] : ((happy(X0) <~> ~humble(X0)) => (~strong(X0) & rich(X0))) [input p1]
8. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> old(X0))) [input p7]
9. ! [X0] : ((humble(X0) | curious(X0)) => (calm(X0) & ~... | 0 |
If susan is either old or quiet then someone is old or not strong and vice versa. If mary is either not curious or generous then mary is either tall or happy. If someone is not curious or tall then someone is humble or calm. If someone is not strong or strong then mary is patient or not wise and vice versa. If someone ... | Paul is brave. | entailment | (((old(susan)<~>quiet(susan)))<=>(?[X]:((old(X)|~strong(X)))))&
(((~curious(mary)<~>generous(mary)))=>((tall(mary)<~>happy(mary))))&
((?[X]:((~curious(X)|tall(X))))=>(?[X]:((humble(X)|calm(X)))))&
((?[X]:((~strong(X)|strong(X))))<=>((patient(mary)|~wise(mary))))&
((?[X]:((calm(X)&~kind(X))))<=>(?[X]:(~wise(X))))&
((wis... | brave(paul) | [
"p10",
"p11",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7337198448647845750742996
% SZS output start Proof for 7337198448647845750742996
11. ! [X0] : ((~happy(X0) & generous(X0)) => (~generous(X0) & patient(X0))) [input p10]
12. ? [X0] : (~old(X0) | tall(X0)) => (~patient(paul) & ~happy(paul)) [input p11]
16. ! [X0] : ((generous(X0) <~> ~brave... | 0 |
If paul is both curious and not tall then someone is not creative or not curious and vice versa. If someone is old or rich then john is either creative or curious. If susan is both not curious and not calm then someone is tall or not quiet and vice versa. Everyone who is either not patient or not rich is not rich or no... | Paul is not quiet. | entailment | (((curious(paul)&~tall(paul)))<=>(?[X]:((~creative(X)|~curious(X)))))&
((?[X]:((old(X)|rich(X))))=>((creative(john)<~>curious(john))))&
(((~curious(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))<=>(~rich(X)|~strong(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(brave(X)&generous(X))))... | ~quiet(paul) | [
"p0",
"p1",
"p3",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7709471583341252264685096
% SZS output start Proof for 7709471583341252264685096
1. (~tall(paul) & curious(paul)) <=> ? [X0] : (~curious(X0) | ~creative(X0)) [input p0]
2. ? [X0] : (rich(X0) | old(X0)) => (creative(john) <~> curious(john)) [input p1]
4. ! [X0] : ((~patient(X0) <~> ~rich(X... | 0 |
Everyone who is old or happy is not humble. If lucy is both not brave and curious then fred is patient and vice versa. Everyone who is either rich or brave is both kind and happy. Everyone who is not rich or rich is both not calm and not strong and vice versa. Everyone who is not funny or not strong is not quiet and vi... | Fred is not generous. | neutral | (![X]:((old(X)|happy(X))=>~humble(X)))&
(((~brave(lucy)&curious(lucy)))<=>(patient(fred)))&
(![X]:((rich(X)<~>brave(X))=>(kind(X)&happy(X))))&
(![X]:((~rich(X)|rich(X))<=>(~calm(X)&~strong(X))))&
(![X]:((~funny(X)|~strong(X))<=>~quiet(X)))&
(![X]:((~humble(X)&kind(X))<=>(rich(X)<~>~generous(X))))&
(((~humble(fred)<~>pa... | ~generous(fred) | [] | null | 0 |
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