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 happy is humble or not strong and vice versa. Everyone who is not funny is not funny or not curious. Everyone who is quiet is old or not tall. Everyone who is wise is either happy or not calm. If someone is humble or not kind then someone is both rich and not calm. Everyone who is both tall and brav... | Fred is old. | neutral | (![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
(![X]:(~funny(X)=>(~funny(X)|~curious(X))))&
(![X]:(quiet(X)=>(old(X)|~tall(X))))&
(![X]:(wise(X)=>(happy(X)<~>~calm(X))))&
((?[X]:((humble(X)|~kind(X))))=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:((tall(X)&brave(X))=>(patient(X)&strong(X))))&
(((~strong(fred)<~>~old(fred)))=>(?[... | old(fred) | [] | null | 0 |
If someone is either not creative or calm then someone is either not creative or humble and vice versa.
If alice is either quiet or kind then john is either not strong or calm.
Everyone who is calm or not rich is not kind or not calm.
Everyone who is either not generous or generous is quiet.
Everyone who is generous or... | John is not wise. | neutral | ((?[X]:((~creative(X)<~>calm(X))))<=>(?[X]:((~creative(X)<~>humble(X)))))&
(((quiet(alice)<~>kind(alice)))=>((~strong(john)<~>calm(john))))&
(![X]:((calm(X)|~rich(X))=>(~kind(X)|~calm(X))))&
(![X]:((~generous(X)<~>generous(X))=>quiet(X)))&
(![X]:((generous(X)|wise(X))<=>(curious(X)<~>~humble(X))))&
((~creative(susan))=... | ~wise(john) | [] | null | 0 |
Everyone who is both not old and tall is creative or old and vice versa.
Everyone who is both not humble and not patient is not brave or patient and vice versa.
Everyone who is not creative or wise is not curious or humble.
Everyone who is tall or not tall is either not brave or old.
If mary is either quiet or humble t... | John is not funny. | neutral | (![X]:((~old(X)&tall(X))<=>(creative(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~brave(X)|patient(X))))&
(![X]:((~creative(X)|wise(X))=>(~curious(X)|humble(X))))&
(![X]:((tall(X)|~tall(X))=>(~brave(X)<~>old(X))))&
(((quiet(mary)<~>humble(mary)))=>(~tall(john)))&
(((curious(susan)&strong(susan)))<=>(?[X]:((kind(X)... | ~funny(john) | [] | null | 0 |
If susan is strong or wise then someone is either old or curious and vice versa. If someone is not curious or humble then someone is humble or rich and vice versa. Everyone who is not humble or kind is both not calm and not old. If someone is kind or not rich then someone is both brave and rich. Everyone who is not wis... | Susan is old. | contradiction | (((strong(susan)|wise(susan)))<=>(?[X]:((old(X)<~>curious(X)))))&
((?[X]:((~curious(X)|humble(X))))<=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((~humble(X)|kind(X))=>(~calm(X)&~old(X))))&
((?[X]:((kind(X)|~rich(X))))=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((~wise(X)|~patient(X))=>~calm(X)))&
(((~funny(susan)|~wise(susan)))<=... | old(susan) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 229226957456088251102542
% SZS output start Proof for 229226957456088251102542
3. ! [X0] : ((kind(X0) | ~humble(X0)) => (~old(X0) & ~calm(X0))) [input p2]
17. ~humble(susan) [input p16]
25. old(susan) [input hypothesis]
29. ! [X0] : ((~old(X0) & ~calm(X0)) | (~kind(X0) & humble(X0))) [enn... | 0 |
Everyone who is wise is both not quiet and not kind. Everyone who is either quiet or kind is both not generous and kind. If paul is either creative or funny then someone is calm. Everyone who is either not wise or not generous is not quiet and vice versa. If someone is both not wise and not old then susan is not kind o... | Susan is tall. | contradiction | (![X]:(wise(X)=>(~quiet(X)&~kind(X))))&
(![X]:((quiet(X)<~>kind(X))=>(~generous(X)&kind(X))))&
(((creative(paul)<~>funny(paul)))=>(?[X]:(calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>~quiet(X)))&
((?[X]:((~wise(X)&~old(X))))=>((~kind(susan)|~old(susan))))&
((?[X]:((~tall(X)&~old(X))))<=>(strong(fred)))&
(![X]:(~patien... | tall(susan) | [
"p0",
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7325437517388356211685812
% SZS output start Proof for 7325437517388356211685812
1. ! [X0] : (wise(X0) => (~kind(X0) & ~quiet(X0))) [input p0]
4. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> ~quiet(X0)) [input p3]
14. ! [X0] : ((~tall(X0) <~> generous(X0)) <=> (~humble(X0) | ~generous(X0))... | 0 |
If susan is either not patient or not brave then paul is both not happy and humble. Everyone who is both wise and not tall is not humble or calm and vice versa. If someone is both not old and kind then someone is both not rich and not calm. If someone is strong or not calm then someone is not tall and vice versa. Every... | Fred is not strong. | contradiction | (((~patient(susan)<~>~brave(susan)))=>((~happy(paul)&humble(paul))))&
(![X]:((wise(X)&~tall(X))<=>(~humble(X)|calm(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~rich(X)&~calm(X)))))&
((?[X]:((strong(X)|~calm(X))))<=>(?[X]:(~tall(X))))&
(![X]:((rich(X)&~calm(X))=>(~tall(X)<~>~creative(X))))&
(![X]:(generous(X)=>~brave(X)... | ~strong(fred) | [
"p1",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6216169626986712067163517
% SZS output start Proof for 6216169626986712067163517
2. ! [X0] : ((~tall(X0) & wise(X0)) <=> (calm(X0) | ~humble(X0))) [input p1]
8. ? [X0] : (~generous(X0) | creative(X0)) => ? [X0] : (~humble(X0) & kind(X0)) [input p7]
13. ! [X0] : ((~curious(X0) & tall(X0)) ... | 0 |
Everyone who is both not humble and strong is either not old or not curious.
Everyone who is either not creative or quiet is not happy or rich and vice versa.
If fred is either not brave or old then susan is both happy and not generous.
If lucy is not calm or not curious then fred is wise or not curious and vice versa.... | Mary is not humble. | entailment | (![X]:((~humble(X)&strong(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>(~happy(X)|rich(X))))&
(((~brave(fred)<~>old(fred)))=>((happy(susan)&~generous(susan))))&
(((~calm(lucy)|~curious(lucy)))<=>((wise(fred)|~curious(fred))))&
(![X]:((humble(X)&wise(X))=>(~old(X)&generous(X))))&
(![X]:((~rich(X)|k... | ~humble(mary) | [
"p4",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 889287593939491806146682
% SZS output start Proof for 889287593939491806146682
5. ! [X0] : ((wise(X0) & humble(X0)) => (generous(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (~happy(X0) & ~curious(X0))) [input p7]
10. ~old(mary) <=> (wise(mary) & ~strong(mary)) [i... | 0 |
Everyone who is tall is not happy or kind.
Everyone who is either patient or not calm is either strong or not quiet and vice versa.
Everyone who is quiet is either humble or not tall and vice versa.
Everyone who is either not brave or wise is creative or not kind and vice versa.
Everyone who is both not generous and no... | John is not calm. | contradiction | (![X]:(tall(X)=>(~happy(X)|kind(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(strong(X)<~>~quiet(X))))&
(![X]:(quiet(X)<=>(humble(X)<~>~tall(X))))&
(![X]:((~brave(X)<~>wise(X))<=>(creative(X)|~kind(X))))&
(![X]:((~generous(X)&~kind(X))=>(~kind(X)|~old(X))))&
(![X]:((humble(X)|tall(X))<=>patient(X)))&
((calm(john))<=>(~creat... | ~calm(john) | [
"p5",
"p6",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6402258610052884071808557
% SZS output start Proof for 6402258610052884071808557
6. ! [X0] : ((tall(X0) | humble(X0)) <=> patient(X0)) [input p5]
7. calm(john) <=> ~creative(mary) [input p6]
10. ? [X0] : creative(X0) => (humble(fred) & wise(fred)) [input p9]
19. ~patient(fred) [input p18]... | 0 |
Everyone who is both not happy and patient is generous or not generous.
Everyone who is wise is either wise or calm.
Everyone who is both not humble and brave is not old or generous and vice versa.
If fred is not rich or not curious then someone is brave or rich.
If fred is not tall then someone is either not kind or q... | Mary is creative. | contradiction | (![X]:((~happy(X)&patient(X))=>(generous(X)|~generous(X))))&
(![X]:(wise(X)=>(wise(X)<~>calm(X))))&
(![X]:((~humble(X)&brave(X))<=>(~old(X)|generous(X))))&
(((~rich(fred)|~curious(fred)))=>(?[X]:((brave(X)|rich(X)))))&
((~tall(fred))=>(?[X]:((~kind(X)<~>quiet(X)))))&
((?[X]:((patient(X)<~>~happy(X))))=>(?[X]:((~rich(X)... | creative(mary) | [
"p2",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1283406091674091790512091
% SZS output start Proof for 1283406091674091790512091
3. ! [X0] : ((brave(X0) & ~humble(X0)) <=> (generous(X0) | ~old(X0))) [input p2]
11. ! [X0] : (rich(X0) <=> (generous(X0) | happy(X0))) [input p10]
12. ! [X0] : (rich(X0) => (humble(X0) & ~patient(X0))) [inpu... | 0 |
If someone is not old or funny then someone is either not creative or calm and vice versa. If lucy is both not happy and not calm then someone is either strong or kind and vice versa. Everyone who is not kind or not happy is not creative. If someone is both not brave and creative then susan is either calm or funny. If ... | Susan is strong. | neutral | ((?[X]:((~old(X)|funny(X))))<=>(?[X]:((~creative(X)<~>calm(X)))))&
(((~happy(lucy)&~calm(lucy)))<=>(?[X]:((strong(X)<~>kind(X)))))&
(![X]:((~kind(X)|~happy(X))=>~creative(X)))&
((?[X]:((~brave(X)&creative(X))))=>((calm(susan)<~>funny(susan))))&
(((~brave(alice)<~>~kind(alice)))=>(?[X]:((~funny(X)&~happy(X)))))&
((?[X]:... | strong(susan) | [] | null | 0 |
If someone is not generous then someone is generous.
Everyone who is both brave and not happy is not creative and vice versa.
If john is creative then someone is brave.
Everyone who is both happy and not creative is either tall or calm.
If alice is curious or generous then paul is not rich or not wise and vice versa.
E... | Mary is not creative. | entailment | ((?[X]:(~generous(X)))=>(?[X]:(generous(X))))&
(![X]:((brave(X)&~happy(X))<=>~creative(X)))&
((creative(john))=>(?[X]:(brave(X))))&
(![X]:((happy(X)&~creative(X))=>(tall(X)<~>calm(X))))&
(((curious(alice)|generous(alice)))<=>((~rich(paul)|~wise(paul))))&
(![X]:((~old(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
(![X]:((r... | ~creative(mary) | [
"p4",
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8078977126238312578925853
% SZS output start Proof for 8078977126238312578925853
5. (generous(alice) | curious(alice)) <=> (~wise(paul) | ~rich(paul)) [input p4]
7. ! [X0] : ((~curious(X0) & rich(X0)) <=> curious(X0)) [input p6]
10. ! [X0] : ((generous(X0) | ~funny(X0)) => (~creative(X0) ... | 0 |
If someone is not old or creative then someone is either tall or not kind and vice versa.
Everyone who is both creative and calm is old.
If someone is both not quiet and not calm then fred is not old or calm and vice versa.
Everyone who is both not creative and kind is not calm or rich and vice versa.
If alice is both ... | Fred is not quiet. | contradiction | ((?[X]:((~old(X)|creative(X))))<=>(?[X]:((tall(X)<~>~kind(X)))))&
(![X]:((creative(X)&calm(X))=>old(X)))&
((?[X]:((~quiet(X)&~calm(X))))<=>((~old(fred)|calm(fred))))&
(![X]:((~creative(X)&kind(X))<=>(~calm(X)|rich(X))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:(kind(X)=>(quiet(X)&generous(X)... | ~quiet(fred) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 205293725149863120330658
% SZS output start Proof for 205293725149863120330658
3. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred)) [input p2]
4. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p3]
6. ! [X0] : (kind(X0) => (generous(X0) & quiet(X0))) ... | 0 |
If mary is not brave then mary is either tall or kind and vice versa.
Everyone who is not old is kind or old and vice versa.
Everyone who is quiet or happy is either patient or old and vice versa.
If fred is either tall or humble then susan is kind or brave and vice versa.
Everyone who is both not rich and quiet is eit... | Fred is not creative. | neutral | ((~brave(mary))<=>((tall(mary)<~>kind(mary))))&
(![X]:(~old(X)<=>(kind(X)|old(X))))&
(![X]:((quiet(X)|happy(X))<=>(patient(X)<~>old(X))))&
(((tall(fred)<~>humble(fred)))<=>((kind(susan)|brave(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(strong(X)<~>~curious(X))))&
((funny(lucy))=>(tall(paul)))&
((?[X]:(generous(X)))=>((~ge... | ~creative(fred) | [] | null | 0 |
Everyone who is either rich or humble is not wise.
If someone is not creative or not humble then someone is either not humble or not curious and vice versa.
If paul is not creative then fred is generous or not kind.
Everyone who is not generous or strong is patient and vice versa.
If lucy is not curious then someone is... | Alice is funny. | contradiction | (![X]:((rich(X)<~>humble(X))=>~wise(X)))&
((?[X]:((~creative(X)|~humble(X))))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
((~creative(paul))=>((generous(fred)|~kind(fred))))&
(![X]:((~generous(X)|strong(X))<=>patient(X)))&
((~curious(lucy))=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((calm(X)&~happy(X))=>(~wise(X)<~>tall(X))))&
... | funny(alice) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2748226537555209786494052
% SZS output start Proof for 2748226537555209786494052
7. ! [X0] : ((~tall(X0) | old(X0)) <=> ~funny(X0)) [input p6]
23. ~old(alice) & ~tall(alice) [input p22]
25. funny(alice) [input hypothesis]
52. ! [X0] : (((~tall(X0) | old(X0)) | funny(X0)) & (~funny(X0) | (... | 0 |
If someone is tall or not wise then susan is either brave or not quiet. If someone is either tall or calm then fred is either not strong or not patient and vice versa. If lucy is not brave then john is both wise and calm and vice versa. Everyone who is not generous is either curious or rich and vice versa. If john is e... | Paul is not wise. | neutral | ((?[X]:((tall(X)|~wise(X))))=>((brave(susan)<~>~quiet(susan))))&
((?[X]:((tall(X)<~>calm(X))))<=>((~strong(fred)<~>~patient(fred))))&
((~brave(lucy))<=>((wise(john)&calm(john))))&
(![X]:(~generous(X)<=>(curious(X)<~>rich(X))))&
(((wise(john)<~>happy(john)))=>((~funny(john)<~>happy(john))))&
(((curious(paul)&generous(pa... | ~wise(paul) | [] | null | 0 |
If alice is either tall or not happy then paul is either not humble or kind and vice versa. If someone is both humble and old then fred is not rich or not creative. If someone is not creative then someone is either strong or not kind. If paul is quiet or not humble then fred is not happy and vice versa. If susan is ric... | Paul is not humble. | neutral | (((tall(alice)<~>~happy(alice)))<=>((~humble(paul)<~>kind(paul))))&
((?[X]:((humble(X)&old(X))))=>((~rich(fred)|~creative(fred))))&
((?[X]:(~creative(X)))=>(?[X]:((strong(X)<~>~kind(X)))))&
(((quiet(paul)|~humble(paul)))<=>(~happy(fred)))&
(((rich(susan)|~brave(susan)))=>(rich(mary)))&
(![X]:(creative(X)<=>(~brave(X)<~... | ~humble(paul) | [] | null | 0 |
Everyone who is both curious and not kind is quiet and vice versa.
Everyone who is either not calm or creative is not brave or not strong and vice versa.
Everyone who is quiet is not quiet or calm.
If someone is not brave then someone is curious and vice versa.
If someone is patient then someone is both wise and happy ... | Fred is kind. | entailment | (![X]:((curious(X)&~kind(X))<=>quiet(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)|~strong(X))))&
(![X]:(quiet(X)=>(~quiet(X)|calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(curious(X))))&
((?[X]:(patient(X)))<=>(?[X]:((wise(X)&happy(X)))))&
(((kind(fred)&~patient(fred)))=>(?[X]:((funny(X)<~>curious(X)))))&
(![X]:((old(X... | kind(fred) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3190128528124222129537772
% SZS output start Proof for 3190128528124222129537772
1. ! [X0] : ((~kind(X0) & curious(X0)) <=> quiet(X0)) [input p0]
7. ! [X0] : ((quiet(X0) | old(X0)) <=> (~curious(X0) & creative(X0))) [input p6]
12. ! [X0] : ((rich(X0) | ~quiet(X0)) <=> kind(X0)) [input p11... | 0 |
If someone is both not rich and not happy then paul is either curious or kind and vice versa.
If someone is not wise then fred is not quiet and vice versa.
If someone is both not tall and rich then alice is not humble or humble and vice versa.
Everyone who is creative or not quiet is not rich.
If someone is either tall... | Fred is quiet. | contradiction | ((?[X]:((~rich(X)&~happy(X))))<=>((curious(paul)<~>kind(paul))))&
((?[X]:(~wise(X)))<=>(~quiet(fred)))&
((?[X]:((~tall(X)&rich(X))))<=>((~humble(alice)|humble(alice))))&
(![X]:((creative(X)|~quiet(X))=>~rich(X)))&
((?[X]:((tall(X)<~>strong(X))))<=>(~strong(paul)))&
(![X]:((kind(X)&rich(X))=>~strong(X)))&
(![X]:((old(X)... | quiet(fred) | [
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4500918541067460106185454
% SZS output start Proof for 4500918541067460106185454
2. ? [X0] : ~wise(X0) <=> ~quiet(fred) [input p1]
17. ~wise(susan) [input p16]
24. quiet(fred) [input hypothesis]
40. (? [X0] : ~wise(X0) | quiet(fred)) & (~quiet(fred) | ! [X0] : wise(X0)) [nnf transformatio... | 0 |
Everyone who is either not strong or wise is patient and vice versa. Everyone who is creative or not old is funny. If alice is either tall or not generous then someone is not strong or generous and vice versa. Everyone who is not quiet is both not curious and brave and vice versa. If alice is strong then fred is not ca... | John is wise. | contradiction | (![X]:((~strong(X)<~>wise(X))<=>patient(X)))&
(![X]:((creative(X)|~old(X))=>funny(X)))&
(((tall(alice)<~>~generous(alice)))<=>(?[X]:((~strong(X)|generous(X)))))&
(![X]:(~quiet(X)<=>(~curious(X)&brave(X))))&
((strong(alice))<=>((~calm(fred)|~kind(fred))))&
(((~wise(fred)&curious(fred)))<=>((~brave(susan)&~happy(susan)))... | wise(john) | [
"p0",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4749938704478637679779493
% SZS output start Proof for 4749938704478637679779493
1. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> patient(X0)) [input p0]
12. ! [X0] : ((~brave(X0) & ~patient(X0)) <=> (~tall(X0) | ~curious(X0))) [input p11]
14. ! [X0] : (strong(X0) <=> ~curious(X0)) [input p13]... | 0 |
If paul is either not generous or not rich then susan is not generous or not brave. Everyone who is either not old or generous is either not old or not brave. Everyone who is not kind is not old and vice versa. Everyone who is funny is not calm or not tall and vice versa. If john is either not humble or strong then mar... | Paul is rich. | contradiction | (((~generous(paul)<~>~rich(paul)))=>((~generous(susan)|~brave(susan))))&
(![X]:((~old(X)<~>generous(X))=>(~old(X)<~>~brave(X))))&
(![X]:(~kind(X)<=>~old(X)))&
(![X]:(funny(X)<=>(~calm(X)|~tall(X))))&
(((~humble(john)<~>strong(john)))=>(~creative(mary)))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(humble(X)=>(~calm(X)<~>~ki... | rich(paul) | [
"p2",
"p3",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8863239382920238179459195
% SZS output start Proof for 8863239382920238179459195
3. ! [X0] : (~kind(X0) <=> ~old(X0)) [input p2]
4. ! [X0] : (funny(X0) <=> (~tall(X0) | ~calm(X0))) [input p3]
7. ! [X0] : (humble(X0) => (~calm(X0) <~> ~kind(X0))) [input p6]
11. ! [X0] : ((old(X0) & humble(... | 0 |
Everyone who is both tall and not quiet is curious and vice versa. If mary is both not creative and not calm then someone is both not happy and not funny and vice versa. If paul is wise then someone is either happy or not calm. Everyone who is both not kind and humble is both patient and generous and vice versa. Everyo... | John is not wise. | contradiction | (![X]:((tall(X)&~quiet(X))<=>curious(X)))&
(((~creative(mary)&~calm(mary)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((wise(paul))=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((~kind(X)&humble(X))<=>(patient(X)&generous(X))))&
(![X]:((old(X)|brave(X))=>(funny(X)<~>brave(X))))&
(((calm(alice)&funny(alice)))=>(curious(susan)))&
(!... | ~wise(john) | [
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 541283132388574236190776
% SZS output start Proof for 541283132388574236190776
7. ! [X0] : (~patient(X0) <=> ~kind(X0)) [input p6]
11. ! [X0] : (wise(X0) <=> (~strong(X0) | ~creative(X0))) [input p10]
14. ! [X0] : ((patient(X0) <~> ~kind(X0)) => (~creative(X0) & ~brave(X0))) [input p13]
2... | 0 |
Everyone who is either not humble or humble is both not funny and strong.
Everyone who is not patient is generous or not brave.
Everyone who is both not funny and quiet is brave or not generous and vice versa.
Everyone who is patient or not wise is not brave or not wise.
Everyone who is not brave or tall is curious or ... | Fred is rich. | neutral | (![X]:((~humble(X)<~>humble(X))=>(~funny(X)&strong(X))))&
(![X]:(~patient(X)=>(generous(X)|~brave(X))))&
(![X]:((~funny(X)&quiet(X))<=>(brave(X)|~generous(X))))&
(![X]:((patient(X)|~wise(X))=>(~brave(X)|~wise(X))))&
(![X]:((~brave(X)|tall(X))=>(curious(X)|rich(X))))&
(![X]:((patient(X)|rich(X))<=>(~humble(X)|kind(X))))... | rich(fred) | [] | null | 0 |
If john is both not generous and not brave then lucy is generous or not brave and vice versa. If paul is not patient or not happy then john is both not happy and not generous and vice versa. Everyone who is either quiet or not kind is wise and vice versa. Everyone who is generous or funny is either not humble or not ol... | Mary is generous. | neutral | (((~generous(john)&~brave(john)))<=>((generous(lucy)|~brave(lucy))))&
(((~patient(paul)|~happy(paul)))<=>((~happy(john)&~generous(john))))&
(![X]:((quiet(X)<~>~kind(X))<=>wise(X)))&
(![X]:((generous(X)|funny(X))<=>(~humble(X)<~>~old(X))))&
((?[X]:(patient(X)))=>(?[X]:((~strong(X)<~>patient(X)))))&
((~kind(fred))=>(~cre... | generous(mary) | [] | null | 0 |
Everyone who is either calm or happy is both patient and not kind and vice versa. Everyone who is patient is brave. Everyone who is calm or old is either not patient or humble and vice versa. Everyone who is curious is not rich. Everyone who is both tall and not humble is not rich and vice versa. If someone is rich or ... | John is not generous. | neutral | (![X]:((calm(X)<~>happy(X))<=>(patient(X)&~kind(X))))&
(![X]:(patient(X)=>brave(X)))&
(![X]:((calm(X)|old(X))<=>(~patient(X)<~>humble(X))))&
(![X]:(curious(X)=>~rich(X)))&
(![X]:((tall(X)&~humble(X))<=>~rich(X)))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~wise(X)<~>creative(X))<=>old(X)))&
(![X]:(~g... | ~generous(john) | [] | null | 0 |
Everyone who is either quiet or patient is either quiet or not strong and vice versa. If someone is both brave and not humble then alice is both not strong and not happy and vice versa. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who ... | Lucy is not rich. | entailment | (![X]:((quiet(X)<~>patient(X))<=>(quiet(X)<~>~strong(X))))&
((?[X]:((brave(X)&~humble(X))))<=>((~strong(alice)&~happy(alice))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious... | ~rich(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7931395937178371337534612
% SZS output start Proof for 7931395937178371337534612
1. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> ~brave(X0)) [input p2]
7. (~quiet(paul) & curious(paul)) <=> ? [X0] : (rich(X0... | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Paul is strong. | contradiction | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | strong(paul) | [
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 522936272920991828334521
% SZS output start Proof for 522936272920991828334521
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~creative(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | stro... | 0 |
Everyone who is both curious and brave is not brave and vice versa.
If paul is both not curious and wise then someone is quiet or not tall.
Everyone who is either calm or not kind is generous and vice versa.
Everyone who is not quiet or strong is both tall and not brave and vice versa.
Everyone who is happy or not stro... | Susan is kind. | entailment | (![X]:((curious(X)&brave(X))<=>~brave(X)))&
(((~curious(paul)&wise(paul)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>generous(X)))&
(![X]:((~quiet(X)|strong(X))<=>(tall(X)&~brave(X))))&
(![X]:((happy(X)|~strong(X))=>(old(X)|~patient(X))))&
(((~humble(fred)&~happy(fred)))=>(?[X]:((rich(X)|~rich(X))))... | kind(susan) | [
"p0",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 549032383149368500923812
% SZS output start Proof for 549032383149368500923812
1. ! [X0] : ((brave(X0) & curious(X0)) <=> ~brave(X0)) [input p0]
7. ! [X0] : (brave(X0) <=> (~calm(X0) & old(X0))) [input p6]
14. ? [X0] : (~calm(X0) <~> kind(X0)) <=> (~brave(susan) & generous(susan)) [input ... | 0 |
Everyone who is brave or funny is both not happy and not tall.
If lucy is either not generous or old then mary is not curious and vice versa.
If someone is both happy and not humble then fred is not tall or generous.
Everyone who is kind or humble is both tall and generous.
Everyone who is either funny or kind is not r... | Lucy is not quiet. | contradiction | (![X]:((brave(X)|funny(X))=>(~happy(X)&~tall(X))))&
(((~generous(lucy)<~>old(lucy)))<=>(~curious(mary)))&
((?[X]:((happy(X)&~humble(X))))=>((~tall(fred)|generous(fred))))&
(![X]:((kind(X)|humble(X))=>(tall(X)&generous(X))))&
(![X]:((funny(X)<~>kind(X))<=>(~rich(X)|~quiet(X))))&
(((~curious(alice)|~rich(alice)))<=>(?[X]... | ~quiet(lucy) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6757795046990084838778632
% SZS output start Proof for 6757795046990084838778632
1. ! [X0] : ((funny(X0) | brave(X0)) => (~tall(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((humble(X0) | kind(X0)) => (generous(X0) & tall(X0))) [input p3]
5. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~quiet(X0)... | 0 |
Everyone who is either not tall or not old is both not quiet and old. If susan is humble then mary is either not calm or not kind. Everyone who is both happy and humble is both humble and not strong and vice versa. Everyone who is both not funny and happy is both not generous and patient and vice versa. If susan is bot... | Susan is not creative. | neutral | (![X]:((~tall(X)<~>~old(X))=>(~quiet(X)&old(X))))&
((humble(susan))=>((~calm(mary)<~>~kind(mary))))&
(![X]:((happy(X)&humble(X))<=>(humble(X)&~strong(X))))&
(![X]:((~funny(X)&happy(X))<=>(~generous(X)&patient(X))))&
(((rich(susan)&~humble(susan)))=>(~generous(john)))&
(![X]:(old(X)<=>(happy(X)<~>tall(X))))&
(![X]:(~hap... | ~creative(susan) | [] | null | 0 |
Everyone who is not rich or not happy is both brave and patient and vice versa.
If fred is creative then mary is either tall or kind and vice versa.
If someone is quiet or kind then someone is both not tall and not funny and vice versa.
If lucy is either not patient or not brave then someone is not humble and vice vers... | Paul is not calm. | neutral | (![X]:((~rich(X)|~happy(X))<=>(brave(X)&patient(X))))&
((creative(fred))<=>((tall(mary)<~>kind(mary))))&
((?[X]:((quiet(X)|kind(X))))<=>(?[X]:((~tall(X)&~funny(X)))))&
(((~patient(lucy)<~>~brave(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:(~old(X)<=>(~wise(X)|rich(X))))&
(((~humble(fred)&~patient(fred)))=>(~rich(alice)))&
((... | ~calm(paul) | [] | null | 0 |
If alice is both not humble and generous then someone is both wise and strong and vice versa.
If fred is wise then fred is either not kind or not strong and vice versa.
Everyone who is either not tall or happy is humble or not wise.
If someone is either not patient or wise then someone is quiet or not funny and vice ve... | Alice is tall. | entailment | (((~humble(alice)&generous(alice)))<=>(?[X]:((wise(X)&strong(X)))))&
((wise(fred))<=>((~kind(fred)<~>~strong(fred))))&
(![X]:((~tall(X)<~>happy(X))=>(humble(X)|~wise(X))))&
((?[X]:((~patient(X)<~>wise(X))))<=>(?[X]:((quiet(X)|~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>happy(X)))&
(![X]:((~rich(X)&~wise(X))<=>(calm(X)<... | tall(alice) | [
"p0",
"p2",
"p4",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 696878851651009928364176
% SZS output start Proof for 696878851651009928364176
1. (generous(alice) & ~humble(alice)) <=> ? [X0] : (strong(X0) & wise(X0)) [input p0]
3. ! [X0] : ((~tall(X0) <~> happy(X0)) => (~wise(X0) | humble(X0))) [input p2]
5. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> happ... | 0 |
If someone is either not strong or generous then paul is happy or curious. Everyone who is happy or not wise is both not rich and not curious. Everyone who is both not curious and not quiet is not creative or not generous and vice versa. If someone is both not kind and curious then someone is both wise and curious. Eve... | Susan is kind. | neutral | ((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(X)|~wise(X))=>(~rich(X)&~curious(X))))&
(![X]:((~curious(X)&~quiet(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:((wise(X)&curious(X)))))&
(![X]:((~rich(X)&creative(X))=>(brave(X)|~rich(X))))&
((?[X]:((humb... | kind(susan) | [] | null | 0 |
If paul is not wise or not strong then lucy is kind and vice versa.
If someone is not rich or kind then lucy is either tall or not old.
If someone is not strong then someone is either generous or not old and vice versa.
If someone is strong then paul is either quiet or not quiet and vice versa.
Everyone who is creative... | Paul is not creative. | contradiction | (((~wise(paul)|~strong(paul)))<=>(kind(lucy)))&
((?[X]:((~rich(X)|kind(X))))=>((tall(lucy)<~>~old(lucy))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)<~>~old(X)))))&
((?[X]:(strong(X)))<=>((quiet(paul)<~>~quiet(paul))))&
(![X]:((creative(X)|~quiet(X))<=>(~wise(X)|~generous(X))))&
(((~kind(lucy)&~patient(lucy)))=>(?[X]:... | ~creative(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7544453322729421585462145
% SZS output start Proof for 7544453322729421585462145
17. ~brave(paul) & creative(paul) [input p16]
25. ~creative(paul) [input hypothesis]
137. creative(paul) [cnf transformation 17]
149. ~creative(paul) [cnf transformation 25]
309. $false [subsumption resolutio... | 0 |
Everyone who is not curious or not calm is wise and vice versa.
If john is wise or not brave then someone is both kind and not generous and vice versa.
If paul is patient or not brave then lucy is not old and vice versa.
Everyone who is tall is either generous or creative and vice versa.
If someone is both not strong a... | Mary is not happy. | contradiction | (![X]:((~curious(X)|~calm(X))<=>wise(X)))&
(((wise(john)|~brave(john)))<=>(?[X]:((kind(X)&~generous(X)))))&
(((patient(paul)|~brave(paul)))<=>(~old(lucy)))&
(![X]:(tall(X)<=>(generous(X)<~>creative(X))))&
((?[X]:((~strong(X)&patient(X))))<=>((~wise(susan)&~happy(susan))))&
((?[X]:(~creative(X)))=>((creative(john)|patie... | ~happy(mary) | [
"p0",
"p6",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2665135431953691429961505
% SZS output start Proof for 2665135431953691429961505
1. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> wise(X0)) [input p0]
7. ! [X0] : ((~humble(X0) | brave(X0)) => humble(X0)) [input p6]
8. ! [X0] : (calm(X0) <=> (~happy(X0) & humble(X0))) [input p7]
11. ! [X0] : (... | 0 |
Everyone who is either generous or calm is either not generous or wise and vice versa.
If someone is either not tall or not patient then lucy is both not calm and humble.
Everyone who is strong or not patient is curious and vice versa.
Everyone who is either humble or not patient is not generous or not patient.
Everyon... | Lucy is not strong. | entailment | (![X]:((generous(X)<~>calm(X))<=>(~generous(X)<~>wise(X))))&
((?[X]:((~tall(X)<~>~patient(X))))=>((~calm(lucy)&humble(lucy))))&
(![X]:((strong(X)|~patient(X))<=>curious(X)))&
(![X]:((humble(X)<~>~patient(X))=>(~generous(X)|~patient(X))))&
(![X]:((funny(X)&old(X))=>(kind(X)|calm(X))))&
((?[X]:((patient(X)|generous(X))))... | ~strong(lucy) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p13",
"p15",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 861772932914124336697875
% SZS output start Proof for 861772932914124336697875
2. ? [X0] : (~tall(X0) <~> ~patient(X0)) => (humble(lucy) & ~calm(lucy)) [input p1]
3. ! [X0] : ((~patient(X0) | strong(X0)) <=> curious(X0)) [input p2]
4. ! [X0] : ((humble(X0) <~> ~patient(X0)) => (~patient(X... | 0 |
Everyone who is either not strong or not quiet is either not quiet or not old.
If someone is not curious or not wise then someone is either generous or not brave and vice versa.
Everyone who is both not humble and quiet is not funny.
If someone is not generous or not tall then susan is both kind and old and vice versa.... | John is curious. | neutral | (![X]:((~strong(X)<~>~quiet(X))=>(~quiet(X)<~>~old(X))))&
((?[X]:((~curious(X)|~wise(X))))<=>(?[X]:((generous(X)<~>~brave(X)))))&
(![X]:((~humble(X)&quiet(X))=>~funny(X)))&
((?[X]:((~generous(X)|~tall(X))))<=>((kind(susan)&old(susan))))&
(![X]:((patient(X)&~patient(X))=>~brave(X)))&
(![X]:((~kind(X)|strong(X))<=>rich(X... | curious(john) | [] | null | 0 |
Everyone who is both not happy and not creative is not tall or happy and vice versa.
Everyone who is both happy and not brave is either old or not curious and vice versa.
Everyone who is curious or quiet is not brave.
Everyone who is either curious or happy is happy and vice versa.
Everyone who is not humble or happy i... | Paul is not quiet. | entailment | (![X]:((~happy(X)&~creative(X))<=>(~tall(X)|happy(X))))&
(![X]:((happy(X)&~brave(X))<=>(old(X)<~>~curious(X))))&
(![X]:((curious(X)|quiet(X))=>~brave(X)))&
(![X]:((curious(X)<~>happy(X))<=>happy(X)))&
(![X]:((~humble(X)|happy(X))<=>(curious(X)&~quiet(X))))&
(![X]:(~calm(X)<=>(~old(X)|creative(X))))&
((?[X]:((happy(X)&~... | ~quiet(paul) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5865988300184153017451480
% SZS output start Proof for 5865988300184153017451480
1. ! [X0] : ((~creative(X0) & ~happy(X0)) <=> (happy(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((quiet(X0) | curious(X0)) => ~brave(X0)) [input p2]
4. ! [X0] : ((curious(X0) <~> happy(X0)) <=> happy(X0)) [inpu... | 0 |
If john is either generous or wise then lucy is not generous or humble and vice versa. Everyone who is patient or not calm is not old or old and vice versa. If john is both rich and not wise then someone is happy. Everyone who is both kind and not tall is tall. If someone is both not patient and quiet then mary is gene... | Paul is funny. | contradiction | (((generous(john)<~>wise(john)))<=>((~generous(lucy)|humble(lucy))))&
(![X]:((patient(X)|~calm(X))<=>(~old(X)|old(X))))&
(((rich(john)&~wise(john)))=>(?[X]:(happy(X))))&
(![X]:((kind(X)&~tall(X))=>tall(X)))&
((?[X]:((~patient(X)&quiet(X))))=>(generous(mary)))&
(((~curious(john)&humble(john)))<=>((~calm(john)&quiet(john... | funny(paul) | [
"p3",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6353495921557125279814067
% SZS output start Proof for 6353495921557125279814067
4. ! [X0] : ((~tall(X0) & kind(X0)) => tall(X0)) [input p3]
7. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~funny(X0) & calm(X0))) [input p6]
21. brave(paul) & ~tall(paul) [input p20]
25. funny(paul) [input hypothe... | 0 |
Everyone who is wise is not patient or not rich and vice versa.
Everyone who is creative or funny is not patient.
Everyone who is either humble or not strong is happy and vice versa.
Everyone who is not happy is either curious or calm.
If someone is either creative or rich then someone is happy or not brave and vice ve... | Alice is not old. | entailment | (![X]:(wise(X)<=>(~patient(X)|~rich(X))))&
(![X]:((creative(X)|funny(X))=>~patient(X)))&
(![X]:((humble(X)<~>~strong(X))<=>happy(X)))&
(![X]:(~happy(X)=>(curious(X)<~>calm(X))))&
((?[X]:((creative(X)<~>rich(X))))<=>(?[X]:((happy(X)|~brave(X)))))&
(((calm(paul)&~tall(paul)))<=>(?[X]:((~funny(X)|~kind(X)))))&
(![X]:((old... | ~old(alice) | [
"p0",
"p1",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8244895085991923503368813
% SZS output start Proof for 8244895085991923503368813
1. ! [X0] : (wise(X0) <=> (~rich(X0) | ~patient(X0))) [input p0]
2. ! [X0] : ((funny(X0) | creative(X0)) => ~patient(X0)) [input p1]
11. ! [X0] : ((~calm(X0) <~> ~old(X0)) <=> (rich(X0) | ~humble(X0))) [input... | 0 |
Everyone who is not curious or curious is either not kind or not old and vice versa.
Everyone who is both not wise and not funny is both patient and tall and vice versa.
Everyone who is either not old or not generous is not creative.
If mary is patient then someone is either kind or happy.
Everyone who is humble or not... | Mary is rich. | neutral | (![X]:((~curious(X)|curious(X))<=>(~kind(X)<~>~old(X))))&
(![X]:((~wise(X)&~funny(X))<=>(patient(X)&tall(X))))&
(![X]:((~old(X)<~>~generous(X))=>~creative(X)))&
((patient(mary))=>(?[X]:((kind(X)<~>happy(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~kind(X)|rich(X))))&
(![X]:((tall(X)&calm(X))<=>(~humble(X)&brave(X))))&
(((~... | rich(mary) | [] | null | 0 |
Everyone who is not happy is both not old and not calm.
Everyone who is both strong and brave is not strong and vice versa.
If alice is both not creative and rich then someone is both tall and humble and vice versa.
Everyone who is not strong is not generous and vice versa.
If fred is creative or not kind then someone ... | John is funny. | entailment | (![X]:(~happy(X)=>(~old(X)&~calm(X))))&
(![X]:((strong(X)&brave(X))<=>~strong(X)))&
(((~creative(alice)&rich(alice)))<=>(?[X]:((tall(X)&humble(X)))))&
(![X]:(~strong(X)<=>~generous(X)))&
(((creative(fred)|~kind(fred)))<=>(?[X]:((~creative(X)|creative(X)))))&
(![X]:(patient(X)<=>(~calm(X)|~strong(X))))&
((?[X]:(strong(X... | funny(john) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4286293866045180907982688
% SZS output start Proof for 4286293866045180907982688
1. ! [X0] : (~happy(X0) => (~calm(X0) & ~old(X0))) [input p0]
2. ! [X0] : ((brave(X0) & strong(X0)) <=> ~strong(X0)) [input p1]
4. ! [X0] : (~strong(X0) <=> ~generous(X0)) [input p3]
6. ! [X0] : (patient(X0) ... | 0 |
Everyone who is not curious or strong is strong and vice versa. Everyone who is not kind is generous. Everyone who is happy is not curious or calm and vice versa. Everyone who is not generous or not rich is either rich or not tall and vice versa. If someone is either not humble or not rich then someone is not calm or r... | Fred is happy. | entailment | (![X]:((~curious(X)|strong(X))<=>strong(X)))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:(happy(X)<=>(~curious(X)|calm(X))))&
(![X]:((~generous(X)|~rich(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((~humble(X)<~>~rich(X))))=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:((curious(X)&~tall(X))<=>(~tall(X)|curious(X))))&
((~funny(susan))<=>((... | happy(fred) | [
"p2",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8220473223587319552868850
% SZS output start Proof for 8220473223587319552868850
3. ! [X0] : (happy(X0) <=> (calm(X0) | ~curious(X0))) [input p2]
12. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (patient(X0) | happy(X0))) [input p11]
14. ! [X0] : (~calm(X0) => ~funny(X0)) [input p13]
16. ! [X0]... | 0 |
Everyone who is either strong or not wise is both creative and generous.
Everyone who is either not patient or funny is funny and vice versa.
If someone is both old and not creative then someone is both not wise and not humble.
Everyone who is not humble is not old or happy and vice versa.
Everyone who is curious or no... | John is rich. | neutral | (![X]:((strong(X)<~>~wise(X))=>(creative(X)&generous(X))))&
(![X]:((~patient(X)<~>funny(X))<=>funny(X)))&
((?[X]:((old(X)&~creative(X))))=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:(~humble(X)<=>(~old(X)|happy(X))))&
(![X]:((curious(X)|~patient(X))=>(tall(X)<~>~strong(X))))&
(![X]:((generous(X)|curious(X))<=>(calm(X)&curi... | rich(john) | [] | null | 0 |
If someone is brave then someone is either calm or rich and vice versa.
If john is not old then alice is both not strong and quiet and vice versa.
Everyone who is not old or old is kind or not curious.
If someone is either not wise or tall then fred is either not happy or brave and vice versa.
Everyone who is either fu... | Mary is not rich. | contradiction | ((?[X]:(brave(X)))<=>(?[X]:((calm(X)<~>rich(X)))))&
((~old(john))<=>((~strong(alice)&quiet(alice))))&
(![X]:((~old(X)|old(X))=>(kind(X)|~curious(X))))&
((?[X]:((~wise(X)<~>tall(X))))<=>((~happy(fred)<~>brave(fred))))&
(![X]:((funny(X)<~>patient(X))<=>(~tall(X)|curious(X))))&
((?[X]:((wise(X)|strong(X))))=>(?[X]:((funny... | ~rich(mary) | [
"p4",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4527938169254504689775488
% SZS output start Proof for 4527938169254504689775488
5. ! [X0] : ((funny(X0) <~> patient(X0)) <=> (curious(X0) | ~tall(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | generous(X0)) <=> (rich(X0) | ~quiet(X0))) [input p7]
13. ! [X0] : (quiet(X0) <=> (funny(X0) | ~cur... | 0 |
Everyone who is both happy and brave is old or kind. Everyone who is not creative is rich and vice versa. Everyone who is either generous or kind is either strong or not generous and vice versa. Everyone who is tall is either not tall or calm and vice versa. If alice is both curious and not strong then fred is both pat... | Lucy is not tall. | neutral | (![X]:((happy(X)&brave(X))=>(old(X)|kind(X))))&
(![X]:(~creative(X)<=>rich(X)))&
(![X]:((generous(X)<~>kind(X))<=>(strong(X)<~>~generous(X))))&
(![X]:(tall(X)<=>(~tall(X)<~>calm(X))))&
(((curious(alice)&~strong(alice)))=>((patient(fred)&~wise(fred))))&
((old(mary))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:(generous(X)=>(... | ~tall(lucy) | [] | null | 0 |
If someone is either not quiet or brave then someone is not funny or not old. If paul is both not tall and patient then fred is kind and vice versa. Everyone who is either calm or not funny is either not patient or not strong and vice versa. Everyone who is not rich is not happy or not quiet and vice versa. Everyone wh... | Mary is not tall. | neutral | ((?[X]:((~quiet(X)<~>brave(X))))=>(?[X]:((~funny(X)|~old(X)))))&
(((~tall(paul)&patient(paul)))<=>(kind(fred)))&
(![X]:((calm(X)<~>~funny(X))<=>(~patient(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~happy(X)|~quiet(X))))&
(![X]:((funny(X)|generous(X))<=>rich(X)))&
(![X]:((~brave(X)<~>patient(X))<=>~tall(X)))&
((?[X]:((humbl... | ~tall(mary) | [] | null | 0 |
Everyone who is curious is not old or funny.
If fred is both funny and quiet then someone is both not curious and brave.
Everyone who is both generous and wise is not curious.
If someone is old then someone is not rich or rich and vice versa.
Everyone who is wise or strong is either not old or not strong and vice versa... | Lucy is brave. | neutral | (![X]:(curious(X)=>(~old(X)|funny(X))))&
(((funny(fred)&quiet(fred)))=>(?[X]:((~curious(X)&brave(X)))))&
(![X]:((generous(X)&wise(X))=>~curious(X)))&
((?[X]:(old(X)))<=>(?[X]:((~rich(X)|rich(X)))))&
(![X]:((wise(X)|strong(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((~quiet(X)|~strong(X))=>(~tall(X)|quiet(X))))&
(![X]:((~ric... | brave(lucy) | [] | null | 0 |
Everyone who is not old or not funny is not strong or happy and vice versa.
If lucy is both not humble and creative then someone is both old and funny.
If paul is patient then someone is generous.
Everyone who is either not creative or not curious is not humble or tall and vice versa.
If someone is not patient then som... | Fred is funny. | contradiction | (![X]:((~old(X)|~funny(X))<=>(~strong(X)|happy(X))))&
(((~humble(lucy)&creative(lucy)))=>(?[X]:((old(X)&funny(X)))))&
((patient(paul))=>(?[X]:(generous(X))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~humble(X)|tall(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:((brave(X)&calm(X))<=>(~rich(X)|~calm(... | funny(fred) | [
"p0",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6720046428691019850554763
% SZS output start Proof for 6720046428691019850554763
1. ! [X0] : ((~funny(X0) | ~old(X0)) <=> (happy(X0) | ~strong(X0))) [input p0]
6. ! [X0] : ((calm(X0) & brave(X0)) <=> (~calm(X0) | ~rich(X0))) [input p5]
13. ! [X0] : ((~happy(X0) | ~old(X0)) => (~calm(X0) &... | 0 |
Everyone who is tall is either not happy or not humble and vice versa.
Everyone who is both strong and not funny is kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone is either not generous or rich and vice versa.
If john is both brave and kind th... | Susan is strong. | entailment | (![X]:(tall(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((?[X]:((~tall(X)|~strong(X))))<=>(humble(john)))&
(![X]:(... | strong(susan) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2300914873703454435463206
% SZS output start Proof for 2300914873703454435463206
6. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p5]
11. ? [X0] : humble(X0) => ~humble(john) [input p10]
22. ~strong(susan) [input hypothesis]
31. ~humble(john) | ! [X0] : ~humble(X0) [ennf tran... | 0 |
If someone is both not quiet and not rich then john is wise or not tall and vice versa. If someone is both quiet and not happy then lucy is either creative or brave and vice versa. Everyone who is not creative is either not strong or creative and vice versa. If someone is either not kind or funny then susan is tall and... | Mary is not strong. | entailment | ((?[X]:((~quiet(X)&~rich(X))))<=>((wise(john)|~tall(john))))&
((?[X]:((quiet(X)&~happy(X))))<=>((creative(lucy)<~>brave(lucy))))&
(![X]:(~creative(X)<=>(~strong(X)<~>creative(X))))&
((?[X]:((~kind(X)<~>funny(X))))<=>(tall(susan)))&
(![X]:((humble(X)<~>~curious(X))=>generous(X)))&
(((~rich(lucy)|curious(lucy)))<=>(?[X]:... | ~strong(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8141656430836023824633137
% SZS output start Proof for 8141656430836023824633137
3. ! [X0] : (~creative(X0) <=> (~strong(X0) <~> creative(X0))) [input p2]
25. strong(mary) [input hypothesis]
50. ! [X0] : ((~creative(X0) | ((~strong(X0) | ~creative(X0)) & (creative(X0) | strong(X0)))) & ((... | 0 |
Everyone who is strong or not kind is old.
If mary is either not brave or not quiet then someone is both not patient and not curious and vice versa.
Everyone who is not funny or not kind is creative.
Everyone who is both not rich and not tall is both curious and not wise and vice versa.
If someone is both quiet and kin... | Mary is quiet. | contradiction | (![X]:((strong(X)|~kind(X))=>old(X)))&
(((~brave(mary)<~>~quiet(mary)))<=>(?[X]:((~patient(X)&~curious(X)))))&
(![X]:((~funny(X)|~kind(X))=>creative(X)))&
(![X]:((~rich(X)&~tall(X))<=>(curious(X)&~wise(X))))&
((?[X]:((quiet(X)&kind(X))))<=>(?[X]:((brave(X)<~>creative(X)))))&
((?[X]:((~curious(X)|brave(X))))<=>(?[X]:((c... | quiet(mary) | [
"p0",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4270679979400945736698885
% SZS output start Proof for 4270679979400945736698885
1. ! [X0] : ((~kind(X0) | strong(X0)) => old(X0)) [input p0]
11. ! [X0] : (humble(X0) <=> (quiet(X0) & ~old(X0))) [input p10]
13. (patient(mary) | quiet(mary)) => ? [X0] : calm(X0) [input p12]
16. ? [X0] : (~... | 0 |
If someone is not funny then someone is both not kind and strong and vice versa.
If someone is rich or not happy then susan is both not funny and not calm.
If paul is either not brave or creative then someone is either humble or not generous.
Everyone who is both not strong and quiet is both quiet and not kind.
Everyon... | Paul is not old. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((~kind(X)&strong(X)))))&
((?[X]:((rich(X)|~happy(X))))=>((~funny(susan)&~calm(susan))))&
(((~brave(paul)<~>creative(paul)))=>(?[X]:((humble(X)<~>~generous(X)))))&
(![X]:((~strong(X)&quiet(X))=>(quiet(X)&~kind(X))))&
(![X]:(~generous(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>~generous... | ~old(paul) | [] | null | 0 |
Everyone who is either rich or not calm is either not patient or not wise.
If paul is either humble or not humble then someone is patient and vice versa.
Everyone who is not wise is either not generous or not kind and vice versa.
If someone is not curious then someone is not old or not strong and vice versa.
Everyone w... | Fred is not rich. | contradiction | (![X]:((rich(X)<~>~calm(X))=>(~patient(X)<~>~wise(X))))&
(((humble(paul)<~>~humble(paul)))<=>(?[X]:(patient(X))))&
(![X]:(~wise(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((tall(X)|creative(X))<=>(strong(X)&humble(X))))&
(![X]:((~calm(X)&curious(X))=>~kind(X)))&
(![X... | ~rich(fred) | [
"p0",
"p4",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2406490903666382413190184
% SZS output start Proof for 2406490903666382413190184
1. ! [X0] : ((rich(X0) <~> ~calm(X0)) => (~patient(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((creative(X0) | tall(X0)) <=> (humble(X0) & strong(X0))) [input p4]
7. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (... | 0 |
Everyone who is not generous is curious and vice versa.
If john is not old then paul is both creative and not brave.
Everyone who is both not quiet and not strong is not generous or humble and vice versa.
Everyone who is not strong or not curious is both not humble and not strong and vice versa.
Everyone who is either ... | Susan is wise. | neutral | (![X]:(~generous(X)<=>curious(X)))&
((~old(john))=>((creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)|humble(X))))&
(![X]:((~strong(X)|~curious(X))<=>(~humble(X)&~strong(X))))&
(![X]:((~creative(X)<~>curious(X))<=>curious(X)))&
(![X]:(strong(X)=>(calm(X)|kind(X))))&
((?[X]:(~tall(X)))<=>(?[... | wise(susan) | [] | null | 0 |
If someone is not happy then someone is either not kind or not wise. If lucy is not wise or not generous then john is calm and vice versa. Everyone who is both not old and not generous is either not wise or not old. If alice is not kind then someone is not humble or strong and vice versa. Everyone who is not humble or ... | Susan is not tall. | contradiction | ((?[X]:(~happy(X)))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(((~wise(lucy)|~generous(lucy)))<=>(calm(john)))&
(![X]:((~old(X)&~generous(X))=>(~wise(X)<~>~old(X))))&
((~kind(alice))<=>(?[X]:((~humble(X)|strong(X)))))&
(![X]:((~humble(X)|~patient(X))=>(wise(X)<~>~generous(X))))&
((?[X]:((~patient(X)<~>kind(X))))<=>((humble(sus... | ~tall(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2232894873549933717568727
% SZS output start Proof for 2232894873549933717568727
7. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> (~strong(X0) & tall(X0))) [input p6]
23. ~tall(susan) [input hypothesis]
53. ! [X0] : (((~tall(X0) | ~generous(X0)) | (strong(X0) | ~tall(X0))) & ((~strong(X0) & t... | 0 |
If someone is generous or not brave then someone is either creative or curious.
If mary is not happy or brave then john is either not strong or funny.
If someone is not brave then john is both not kind and not generous and vice versa.
Everyone who is old or humble is either humble or not quiet.
If susan is either not h... | Mary is generous. | contradiction | ((?[X]:((generous(X)|~brave(X))))=>(?[X]:((creative(X)<~>curious(X)))))&
(((~happy(mary)|brave(mary)))=>((~strong(john)<~>funny(john))))&
((?[X]:(~brave(X)))<=>((~kind(john)&~generous(john))))&
(![X]:((old(X)|humble(X))=>(humble(X)<~>~quiet(X))))&
(((~happy(susan)<~>rich(susan)))<=>(?[X]:((~brave(X)|brave(X)))))&
(![X]... | generous(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8765502446667374102386775
% SZS output start Proof for 8765502446667374102386775
6. ! [X0] : ((~wise(X0) & ~generous(X0)) <=> (generous(X0) | ~happy(X0))) [input p5]
25. generous(mary) [input hypothesis]
55. ! [X0] : (((~wise(X0) & ~generous(X0)) | (~generous(X0) & happy(X0))) & ((generou... | 0 |
If fred is both not humble and not patient then lucy is funny and vice versa.
If fred is either quiet or rich then mary is not curious and vice versa.
If someone is not quiet or calm then someone is not rich and vice versa.
If susan is not quiet or calm then someone is both humble and not tall and vice versa.
Everyone ... | John is creative. | neutral | (((~humble(fred)&~patient(fred)))<=>(funny(lucy)))&
(((quiet(fred)<~>rich(fred)))<=>(~curious(mary)))&
((?[X]:((~quiet(X)|calm(X))))<=>(?[X]:(~rich(X))))&
(((~quiet(susan)|calm(susan)))<=>(?[X]:((humble(X)&~tall(X)))))&
(![X]:((~calm(X)<~>~humble(X))=>(~happy(X)|calm(X))))&
(![X]:((~wise(X)&old(X))<=>(~curious(X)&gener... | creative(john) | [] | null | 0 |
Everyone who is not patient is not humble and vice versa.
Everyone who is brave is either not happy or happy and vice versa.
If susan is not funny or not kind then someone is not tall.
Everyone who is not creative is not rich.
Everyone who is either not funny or humble is curious or not happy.
If fred is calm or brave ... | Susan is rich. | neutral | (![X]:(~patient(X)<=>~humble(X)))&
(![X]:(brave(X)<=>(~happy(X)<~>happy(X))))&
(((~funny(susan)|~kind(susan)))=>(?[X]:(~tall(X))))&
(![X]:(~creative(X)=>~rich(X)))&
(![X]:((~funny(X)<~>humble(X))=>(curious(X)|~happy(X))))&
(((calm(fred)|brave(fred)))=>(?[X]:(strong(X))))&
(![X]:(brave(X)<=>(~calm(X)<~>~old(X))))&
(((fu... | rich(susan) | [] | null | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Susan is wise. | neutral | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | wise(susan) | [] | null | 0 |
If someone is strong then someone is either humble or not funny and vice versa.
If fred is both not brave and not wise then someone is not wise or not creative.
Everyone who is not calm or not curious is either old or rich and vice versa.
Everyone who is generous or not humble is strong or happy.
Everyone who is patien... | John is not old. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((~brave(fred)&~wise(fred)))=>(?[X]:((~wise(X)|~creative(X)))))&
(![X]:((~calm(X)|~curious(X))<=>(old(X)<~>rich(X))))&
(![X]:((generous(X)|~humble(X))=>(strong(X)|happy(X))))&
(![X]:((patient(X)|brave(X))=>(~humble(X)&quiet(X))))&
(![X]:(~generous(X)<=>~old(X)))... | ~old(john) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p13",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8801842322451963697994553
% SZS output start Proof for 8801842322451963697994553
4. ! [X0] : ((~humble(X0) | generous(X0)) => (happy(X0) | strong(X0))) [input p3]
5. ! [X0] : ((brave(X0) | patient(X0)) => (quiet(X0) & ~humble(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> ~old(X0)) [inpu... | 0 |
If alice is both funny and not funny then someone is either not rich or not wise and vice versa.
Everyone who is either happy or old is not old or funny and vice versa.
If alice is old then fred is not rich.
Everyone who is either not calm or wise is not wise and vice versa.
If john is tall then someone is calm or rich... | Susan is creative. | entailment | (((funny(alice)&~funny(alice)))<=>(?[X]:((~rich(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>old(X))<=>(~old(X)|funny(X))))&
((old(alice))=>(~rich(fred)))&
(![X]:((~calm(X)<~>wise(X))<=>~wise(X)))&
((tall(john))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~humble(X)<~>rich(X))=>~tall(X)))&
(((~happy(lucy)|strong(lucy)))=>((calm(luc... | creative(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4641009236073049623294878
% SZS output start Proof for 4641009236073049623294878
22. quiet(susan) & creative(susan) [input p21]
24. ~creative(susan) [input hypothesis]
130. creative(susan) [cnf transformation 22]
133. ~creative(susan) [cnf transformation 24]
282. $false [subsumption resol... | 0 |
Everyone who is either not creative or humble is not strong or not patient and vice versa.
Everyone who is either patient or kind is either strong or happy.
Everyone who is either wise or happy is happy.
If someone is not rich or kind then lucy is curious and vice versa.
Everyone who is either not strong or not quiet i... | John is calm. | contradiction | (![X]:((~creative(X)<~>humble(X))<=>(~strong(X)|~patient(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))=>happy(X)))&
((?[X]:((~rich(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~strong(X)<~>~quiet(X))<=>~rich(X)))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:(~rich(X))))&
(![X]:(~cu... | calm(john) | [
"p6",
"p9",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4128877921238479963539251
% SZS output start Proof for 4128877921238479963539251
7. ! [X0] : (~curious(X0) <=> (~patient(X0) | creative(X0))) [input p6]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (generous(X0) & ~funny(X0))) [input p9]
12. generous(fred) <=> funny(john) [input p11]
13. ... | 0 |
If mary is not kind then alice is strong and vice versa. If susan is either curious or strong then someone is either not creative or brave. Everyone who is not wise is rich or not quiet. If alice is not wise then someone is not old. If someone is both brave and patient then someone is either calm or creative and vice v... | Paul is not brave. | neutral | ((~kind(mary))<=>(strong(alice)))&
(((curious(susan)<~>strong(susan)))=>(?[X]:((~creative(X)<~>brave(X)))))&
(![X]:(~wise(X)=>(rich(X)|~quiet(X))))&
((~wise(alice))=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((calm(X)<~>creative(X)))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((patient(paul)|~kind(paul))))&
... | ~brave(paul) | [] | null | 0 |
Everyone who is both strong and humble is either brave or not happy. Everyone who is either patient or curious is either creative or not curious. Everyone who is both patient and happy is not funny or not wise and vice versa. If lucy is kind then someone is either not wise or not calm. If someone is not generous or bra... | Paul is generous. | entailment | (![X]:((strong(X)&humble(X))=>(brave(X)<~>~happy(X))))&
(![X]:((patient(X)<~>curious(X))=>(creative(X)<~>~curious(X))))&
(![X]:((patient(X)&happy(X))<=>(~funny(X)|~wise(X))))&
((kind(lucy))=>(?[X]:((~wise(X)<~>~calm(X)))))&
((?[X]:((~generous(X)|brave(X))))=>(?[X]:((~tall(X)|~calm(X)))))&
(![X]:((quiet(X)|~generous(X))... | generous(paul) | [
"p2",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5111955995695198570694116
% SZS output start Proof for 5111955995695198570694116
3. ! [X0] : ((happy(X0) & patient(X0)) <=> (~wise(X0) | ~funny(X0))) [input p2]
6. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (~old(X0) & calm(X0))) [input p5]
8. ! [X0] : ((~rich(X0) | happy(X0)) => (~calm(X0... | 0 |
If someone is both brave and not calm then someone is both not funny and old.
If lucy is wise then paul is rich and vice versa.
If fred is either not humble or wise then someone is kind and vice versa.
If susan is either not patient or not strong then fred is tall.
Everyone who is not rich is both humble and not genero... | Lucy is not rich. | contradiction | ((?[X]:((brave(X)&~calm(X))))=>(?[X]:((~funny(X)&old(X)))))&
((wise(lucy))<=>(rich(paul)))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]:(kind(X))))&
(((~patient(susan)<~>~strong(susan)))=>(tall(fred)))&
(![X]:(~rich(X)<=>(humble(X)&~generous(X))))&
(![X]:((generous(X)<~>strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:((curi... | ~rich(lucy) | [
"p1",
"p4",
"p6",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2114687875540804766598974
% SZS output start Proof for 2114687875540804766598974
2. wise(lucy) <=> rich(paul) [input p1]
5. ! [X0] : (~rich(X0) <=> (~generous(X0) & humble(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (curious(X0) & ~wise(X0))) [input p6]
9. ! [X0] : (~humb... | 0 |
If someone is either not patient or not old then mary is not wise or not kind and vice versa. If someone is either not kind or not patient then paul is wise. Everyone who is both not quiet and not happy is not old. If someone is rich then someone is funny or not curious. Everyone who is either not patient or not quiet ... | John is old. | neutral | ((?[X]:((~patient(X)<~>~old(X))))<=>((~wise(mary)|~kind(mary))))&
((?[X]:((~kind(X)<~>~patient(X))))=>(wise(paul)))&
(![X]:((~quiet(X)&~happy(X))=>~old(X)))&
((?[X]:(rich(X)))=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~patient(X)<~>~quiet(X))=>(~generous(X)<~>~patient(X))))&
(![X]:((funny(X)&happy(X))=>~humble(X)))&
(... | old(john) | [] | null | 0 |
Everyone who is not kind or not patient is not patient or not creative and vice versa. Everyone who is both not quiet and not calm is curious. Everyone who is either not humble or not quiet is old and vice versa. If someone is either not happy or curious then fred is either happy or generous and vice versa. Everyone wh... | Fred is not strong. | neutral | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)|~creative(X))))&
(![X]:((~quiet(X)&~calm(X))=>curious(X)))&
(![X]:((~humble(X)<~>~quiet(X))<=>old(X)))&
((?[X]:((~happy(X)<~>curious(X))))<=>((happy(fred)<~>generous(fred))))&
(![X]:((creative(X)<~>~rich(X))=>(wise(X)&~kind(X))))&
((?[X]:((patient(X)&~funny(X))))<=>((~funny(... | ~strong(fred) | [] | null | 0 |
If mary is either rich or not curious then someone is either not rich or not brave.
If someone is funny then alice is not brave or rich and vice versa.
Everyone who is either rich or not old is either not kind or funny and vice versa.
Everyone who is either not brave or generous is generous or not funny and vice versa.... | Lucy is not happy. | contradiction | (((rich(mary)<~>~curious(mary)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
((?[X]:(funny(X)))<=>((~brave(alice)|rich(alice))))&
(![X]:((rich(X)<~>~old(X))<=>(~kind(X)<~>funny(X))))&
(![X]:((~brave(X)<~>generous(X))<=>(generous(X)|~funny(X))))&
((~happy(lucy))=>((kind(fred)&funny(fred))))&
((?[X]:((~brave(X)&~tall(X))))<=>(?[X... | ~happy(lucy) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5242782818283022874351590
% SZS output start Proof for 5242782818283022874351590
4. ! [X0] : ((~brave(X0) <~> generous(X0)) <=> (~funny(X0) | generous(X0))) [input p3]
5. ~happy(lucy) => (funny(fred) & kind(fred)) [input p4]
10. (brave(fred) | generous(fred)) <=> happy(lucy) [input p9]
25... | 0 |
Everyone who is not curious or generous is not tall and vice versa.
Everyone who is either tall or patient is either not humble or not old.
Everyone who is not rich is either not funny or not creative and vice versa.
Everyone who is not calm is both quiet and generous.
Everyone who is not funny is curious or kind.
If s... | Alice is not creative. | entailment | (![X]:((~curious(X)|generous(X))<=>~tall(X)))&
(![X]:((tall(X)<~>patient(X))=>(~humble(X)<~>~old(X))))&
(![X]:(~rich(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:(~calm(X)=>(quiet(X)&generous(X))))&
(![X]:(~funny(X)=>(curious(X)|kind(X))))&
((?[X]:((tall(X)&wise(X))))<=>(?[X]:((~funny(X)|~strong(X)))))&
((?[X]:((~curious(X... | ~creative(alice) | [
"p0",
"p2",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4401411588818332936184110
% SZS output start Proof for 4401411588818332936184110
1. ! [X0] : ((generous(X0) | ~curious(X0)) <=> ~tall(X0)) [input p0]
3. ! [X0] : (~rich(X0) <=> (~funny(X0) <~> ~creative(X0))) [input p2]
6. ? [X0] : (wise(X0) & tall(X0)) <=> ? [X0] : (~strong(X0) | ~funny(... | 0 |
If alice is not brave then alice is both happy and rich and vice versa. If fred is not old or funny then lucy is both not generous and not curious and vice versa. Everyone who is both not kind and not creative is happy or tall. If someone is either humble or kind then someone is not humble. Everyone who is both not pat... | Fred is not rich. | neutral | ((~brave(alice))<=>((happy(alice)&rich(alice))))&
(((~old(fred)|funny(fred)))<=>((~generous(lucy)&~curious(lucy))))&
(![X]:((~kind(X)&~creative(X))=>(happy(X)|tall(X))))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&curious(X))<=>funny(X)))&
(![X]:(tall(X)<=>(~rich(X)&~quiet(X))))&
(![X]:(... | ~rich(fred) | [] | null | 0 |
If paul is both not quiet and not old then someone is both not rich and not quiet and vice versa.
If someone is either not curious or patient then paul is both not wise and calm.
Everyone who is not creative or patient is both curious and not humble.
Everyone who is rich or not generous is both not rich and not patient... | Fred is not rich. | entailment | (((~quiet(paul)&~old(paul)))<=>(?[X]:((~rich(X)&~quiet(X)))))&
((?[X]:((~curious(X)<~>patient(X))))=>((~wise(paul)&calm(paul))))&
(![X]:((~creative(X)|patient(X))=>(curious(X)&~humble(X))))&
(![X]:((rich(X)|~generous(X))<=>(~rich(X)&~patient(X))))&
(![X]:((~curious(X)|~brave(X))<=>humble(X)))&
(![X]:((brave(X)|strong(X... | ~rich(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4993183754283101045339859
% SZS output start Proof for 4993183754283101045339859
4. ! [X0] : ((~generous(X0) | rich(X0)) <=> (~patient(X0) & ~rich(X0))) [input p3]
18. rich(fred) [input hypothesis]
31. ! [X0] : (((~generous(X0) | rich(X0)) | (patient(X0) | rich(X0))) & ((~patient(X0) & ~r... | 0 |
If someone is either humble or brave then mary is not rich or not tall. Everyone who is not patient or not quiet is either not strong or not humble and vice versa. If fred is either not patient or not strong then susan is either strong or not quiet and vice versa. Everyone who is creative is both calm and strong and vi... | Paul is funny. | entailment | ((?[X]:((humble(X)<~>brave(X))))=>((~rich(mary)|~tall(mary))))&
(![X]:((~patient(X)|~quiet(X))<=>(~strong(X)<~>~humble(X))))&
(((~patient(fred)<~>~strong(fred)))<=>((strong(susan)<~>~quiet(susan))))&
(![X]:(creative(X)<=>(calm(X)&strong(X))))&
(![X]:((~quiet(X)&~creative(X))<=>(rich(X)|~happy(X))))&
(![X]:((brave(X)&~s... | funny(paul) | [
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 818819623275234823285580
% SZS output start Proof for 818819623275234823285580
6. ! [X0] : ((~strong(X0) & brave(X0)) <=> (~tall(X0) <~> ~creative(X0))) [input p5]
7. ? [X0] : (brave(X0) & kind(X0)) <=> ? [X0] : (~humble(X0) | ~curious(X0)) [input p6]
12. ? [X0] : (~humble(X0) <~> ~funny(... | 0 |
Everyone who is rich or not curious is both not tall and not happy.
Everyone who is either humble or generous is not kind and vice versa.
If susan is not generous then paul is curious or funny and vice versa.
Everyone who is both calm and not wise is both tall and not kind.
If mary is not generous or brave then fred is... | Lucy is not patient. | contradiction | (![X]:((rich(X)|~curious(X))=>(~tall(X)&~happy(X))))&
(![X]:((humble(X)<~>generous(X))<=>~kind(X)))&
((~generous(susan))<=>((curious(paul)|funny(paul))))&
(![X]:((calm(X)&~wise(X))=>(tall(X)&~kind(X))))&
(((~generous(mary)|brave(mary)))=>((~humble(fred)|rich(fred))))&
(![X]:((kind(X)&~kind(X))<=>(~happy(X)|~humble(X)))... | ~patient(lucy) | [
"p0",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3433054462103664601369047
% SZS output start Proof for 3433054462103664601369047
1. ! [X0] : ((~curious(X0) | rich(X0)) => (~happy(X0) & ~tall(X0))) [input p0]
6. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~humble(X0) | ~happy(X0))) [input p5]
12. ~happy(susan) <=> ? [X0] : (patient(X0) <~> ~r... | 0 |
Everyone who is creative or wise is rich or wise and vice versa. If paul is creative then alice is not humble or not curious. If someone is not kind or happy then john is rich and vice versa. Everyone who is both brave and quiet is either curious or not patient and vice versa. If someone is both old and curious then so... | Alice is wise. | entailment | (![X]:((creative(X)|wise(X))<=>(rich(X)|wise(X))))&
((creative(paul))=>((~humble(alice)|~curious(alice))))&
((?[X]:((~kind(X)|happy(X))))<=>(rich(john)))&
(![X]:((brave(X)&quiet(X))<=>(curious(X)<~>~patient(X))))&
((?[X]:((old(X)&curious(X))))<=>(?[X]:((generous(X)&strong(X)))))&
(![X]:(kind(X)=>tall(X)))&
(![X]:(calm(... | wise(alice) | [
"p0",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 586127307110857671579969
% SZS output start Proof for 586127307110857671579969
1. ! [X0] : ((wise(X0) | creative(X0)) <=> (wise(X0) | rich(X0))) [input p0]
9. ! [X0] : ((brave(X0) <~> rich(X0)) <=> (kind(X0) & ~kind(X0))) [input p8]
19. creative(alice) & ~brave(alice) [input p18]
25. ~wis... | 0 |
Everyone who is either not calm or not brave is calm and vice versa.
Everyone who is brave is calm or not tall and vice versa.
Everyone who is both brave and not quiet is either quiet or not wise.
Everyone who is both happy and not funny is either not quiet or not brave.
Everyone who is both not funny and not calm is e... | Paul is not rich. | neutral | (![X]:((~calm(X)<~>~brave(X))<=>calm(X)))&
(![X]:(brave(X)<=>(calm(X)|~tall(X))))&
(![X]:((brave(X)&~quiet(X))=>(quiet(X)<~>~wise(X))))&
(![X]:((happy(X)&~funny(X))=>(~quiet(X)<~>~brave(X))))&
(![X]:((~funny(X)&~calm(X))=>(humble(X)<~>~generous(X))))&
(((~brave(lucy)|~creative(lucy)))<=>((~curious(paul)&~humble(paul)))... | ~rich(paul) | [] | null | 0 |
Everyone who is both patient and not quiet is both not happy and not kind and vice versa. If someone is quiet then someone is kind or patient and vice versa. Everyone who is either strong or curious is not calm and vice versa. If someone is either not quiet or not tall then someone is both not creative and not tall. Ev... | Paul is creative. | entailment | (![X]:((patient(X)&~quiet(X))<=>(~happy(X)&~kind(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((kind(X)|patient(X)))))&
(![X]:((strong(X)<~>curious(X))<=>~calm(X)))&
((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~creative(X)&~tall(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>strong(X)))&
(((~humble(john)&tall(john)))=>(~quiet(lucy)))&... | creative(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3373168043087870098245865
% SZS output start Proof for 3373168043087870098245865
5. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> strong(X0)) [input p4]
24. ~creative(paul) [input hypothesis]
48. ! [X0] : ((((~creative(X0) | strong(X0)) & (creative(X0) | ~strong(X0))) | ~strong(X0)) & (str... | 0 |
If paul is both not curious and not brave then susan is both generous and not quiet and vice versa. If susan is not humble or not creative then mary is both not curious and not old. Everyone who is either old or rich is brave. Everyone who is kind is not strong or tall. Everyone who is either wise or kind is both patie... | Susan is generous. | neutral | (((~curious(paul)&~brave(paul)))<=>((generous(susan)&~quiet(susan))))&
(((~humble(susan)|~creative(susan)))=>((~curious(mary)&~old(mary))))&
(![X]:((old(X)<~>rich(X))=>brave(X)))&
(![X]:(kind(X)=>(~strong(X)|tall(X))))&
(![X]:((wise(X)<~>kind(X))=>(patient(X)&~strong(X))))&
(![X]:((~funny(X)|~old(X))<=>(~quiet(X)&gener... | generous(susan) | [] | null | 0 |
If someone is not rich or not patient then paul is both patient and not quiet.
Everyone who is both not kind and patient is not creative and vice versa.
Everyone who is not old is both calm and not brave and vice versa.
Everyone who is old or not rich is patient.
If someone is not funny then paul is either funny or not... | Alice is not funny. | neutral | ((?[X]:((~rich(X)|~patient(X))))=>((patient(paul)&~quiet(paul))))&
(![X]:((~kind(X)&patient(X))<=>~creative(X)))&
(![X]:(~old(X)<=>(calm(X)&~brave(X))))&
(![X]:((old(X)|~rich(X))=>patient(X)))&
((?[X]:(~funny(X)))<=>((funny(paul)<~>~creative(paul))))&
(((~calm(susan)<~>brave(susan)))<=>(?[X]:((rich(X)|humble(X)))))&
((... | ~funny(alice) | [] | null | 0 |
Everyone who is not funny is both calm and not happy and vice versa.
Everyone who is either calm or not funny is either not humble or not kind and vice versa.
If paul is rich then someone is both not happy and not generous.
Everyone who is rich or not rich is old.
Everyone who is either tall or funny is either quiet or... | Fred is rich. | neutral | (![X]:(~funny(X)<=>(calm(X)&~happy(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(~humble(X)<~>~kind(X))))&
((rich(paul))=>(?[X]:((~happy(X)&~generous(X)))))&
(![X]:((rich(X)|~rich(X))=>old(X)))&
(![X]:((tall(X)<~>funny(X))=>(quiet(X)<~>curious(X))))&
(![X]:((calm(X)&quiet(X))<=>(creative(X)|~creative(X))))&
((?[X]:(~patient(X... | rich(fred) | [] | null | 0 |
If someone is both not brave and happy then lucy is either not brave or not old. Everyone who is rich is creative. Everyone who is calm is not rich. If someone is either happy or not funny then someone is both tall and not brave and vice versa. Everyone who is not funny or not wise is not curious or rich. If someone is... | Mary is kind. | entailment | ((?[X]:((~brave(X)&happy(X))))=>((~brave(lucy)<~>~old(lucy))))&
(![X]:(rich(X)=>creative(X)))&
(![X]:(calm(X)=>~rich(X)))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((~funny(X)|~wise(X))=>(~curious(X)|rich(X))))&
((?[X]:(~old(X)))<=>(?[X]:(wise(X))))&
(![X]:((~quiet(X)<~>generous(X))<=>(~w... | kind(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3943615349760855818814239
% SZS output start Proof for 3943615349760855818814239
8. ! [X0] : (kind(X0) <=> (~kind(X0) | kind(X0))) [input p7]
25. ~kind(mary) [input hypothesis]
49. ! [X0] : ((kind(X0) | (kind(X0) & ~kind(X0))) & ((~kind(X0) | kind(X0)) | ~kind(X0))) [nnf transformation 8]... | 0 |
Everyone who is quiet or not wise is strong.
Everyone who is not generous or not strong is both happy and wise and vice versa.
Everyone who is not happy is either not curious or not old.
Everyone who is both patient and not humble is either curious or not tall and vice versa.
Everyone who is old is both not strong and ... | Mary is creative. | contradiction | (![X]:((quiet(X)|~wise(X))=>strong(X)))&
(![X]:((~generous(X)|~strong(X))<=>(happy(X)&wise(X))))&
(![X]:(~happy(X)=>(~curious(X)<~>~old(X))))&
(![X]:((patient(X)&~humble(X))<=>(curious(X)<~>~tall(X))))&
(![X]:(old(X)=>(~strong(X)&~rich(X))))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:((... | creative(mary) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8719181491022602523458659
% SZS output start Proof for 8719181491022602523458659
1. ! [X0] : ((~wise(X0) | quiet(X0)) => strong(X0)) [input p0]
5. ! [X0] : (old(X0) => (~rich(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((brave(X0) & ~quiet(X0)) => (~strong(X0) & humble(X0))) [input p6]
8. ... | 0 |
If someone is both old and not funny then someone is kind or not tall.
Everyone who is either funny or rich is not quiet or not rich and vice versa.
If fred is either not quiet or not kind then someone is both not brave and brave and vice versa.
If susan is either not wise or not tall then mary is curious and vice vers... | Fred is happy. | contradiction | ((?[X]:((old(X)&~funny(X))))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((funny(X)<~>rich(X))<=>(~quiet(X)|~rich(X))))&
(((~quiet(fred)<~>~kind(fred)))<=>(?[X]:((~brave(X)&brave(X)))))&
(((~wise(susan)<~>~tall(susan)))<=>(curious(mary)))&
(![X]:((calm(X)|rich(X))<=>(~brave(X)|~happy(X))))&
(![X]:((~old(X)&~strong(X))<=>(happ... | happy(fred) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 96763502085366721865411
% SZS output start Proof for 96763502085366721865411
3. (~quiet(fred) <~> ~kind(fred)) <=> ? [X0] : (brave(X0) & ~brave(X0)) [input p2]
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~happy(X0) | ~brave(X0))) [input p4]
6. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (~tall(X0)... | 0 |
If fred is either not curious or old then paul is either not strong or not patient.
Everyone who is both happy and creative is both not calm and humble and vice versa.
Everyone who is either not calm or rich is either old or not rich and vice versa.
Everyone who is either patient or funny is not calm and vice versa.
If... | Susan is not generous. | neutral | (((~curious(fred)<~>old(fred)))=>((~strong(paul)<~>~patient(paul))))&
(![X]:((happy(X)&creative(X))<=>(~calm(X)&humble(X))))&
(![X]:((~calm(X)<~>rich(X))<=>(old(X)<~>~rich(X))))&
(![X]:((patient(X)<~>funny(X))<=>~calm(X)))&
(((wise(lucy)&~brave(lucy)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
(![X]:((patient(X)|~quiet(X))... | ~generous(susan) | [] | null | 0 |
Everyone who is not curious is both not brave and not wise.
Everyone who is either not old or wise is happy and vice versa.
If lucy is quiet or patient then mary is not generous and vice versa.
If john is quiet or not rich then someone is either old or happy and vice versa.
Everyone who is wise is either not humble or ... | Alice is not wise. | contradiction | (![X]:(~curious(X)=>(~brave(X)&~wise(X))))&
(![X]:((~old(X)<~>wise(X))<=>happy(X)))&
(((quiet(lucy)|patient(lucy)))<=>(~generous(mary)))&
(((quiet(john)|~rich(john)))<=>(?[X]:((old(X)<~>happy(X)))))&
(![X]:(wise(X)=>(~humble(X)<~>calm(X))))&
(![X]:((humble(X)|~funny(X))=>tall(X)))&
(![X]:((strong(X)|~generous(X))=>(old... | ~wise(alice) | [
"p5",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6230458653696177845861970
% SZS output start Proof for 6230458653696177845861970
6. ! [X0] : ((~funny(X0) | humble(X0)) => tall(X0)) [input p5]
14. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (~funny(X0) & ~tall(X0))) [input p13]
15. ! [X0] : ((rich(X0) | happy(X0)) <=> (~calm(X0) <~> wise(X0... | 0 |
Everyone who is generous is either calm or strong.
If fred is wise or not kind then someone is both old and not strong.
Everyone who is happy or quiet is either rich or tall.
Everyone who is both not calm and patient is both not wise and curious and vice versa.
Everyone who is both not patient and not wise is humble or... | Mary is generous. | neutral | (![X]:(generous(X)=>(calm(X)<~>strong(X))))&
(((wise(fred)|~kind(fred)))=>(?[X]:((old(X)&~strong(X)))))&
(![X]:((happy(X)|quiet(X))=>(rich(X)<~>tall(X))))&
(![X]:((~calm(X)&patient(X))<=>(~wise(X)&curious(X))))&
(![X]:((~patient(X)&~wise(X))<=>(humble(X)|~rich(X))))&
((?[X]:((~humble(X)<~>calm(X))))<=>(?[X]:((kind(X)<~... | generous(mary) | [] | null | 0 |
Everyone who is creative or strong is not quiet and vice versa.
If fred is wise then someone is not calm or not curious and vice versa.
Everyone who is not quiet is not old and vice versa.
If fred is both not kind and curious then someone is both creative and calm and vice versa.
Everyone who is happy or not creative i... | Mary is happy. | contradiction | (![X]:((creative(X)|strong(X))<=>~quiet(X)))&
((wise(fred))<=>(?[X]:((~calm(X)|~curious(X)))))&
(![X]:(~quiet(X)<=>~old(X)))&
(((~kind(fred)&curious(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((happy(X)|~creative(X))=>(~happy(X)&brave(X))))&
(((generous(fred)|~patient(fred)))=>(?[X]:((~happy(X)|~generous(X)))))&
... | happy(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1870496255633093632848748
% SZS output start Proof for 1870496255633093632848748
5. ! [X0] : ((~creative(X0) | happy(X0)) => (brave(X0) & ~happy(X0))) [input p4]
25. happy(mary) [input hypothesis]
28. ! [X0] : ((brave(X0) & ~happy(X0)) | (creative(X0) & ~happy(X0))) [ennf transformation 5... | 0 |
Everyone who is both not creative and humble is both quiet and not curious and vice versa. If someone is not creative or old then someone is either not patient or wise. Everyone who is both not generous and not old is either quiet or humble. If fred is tall or patient then someone is both not strong and not wise. Every... | Fred is not quiet. | contradiction | (![X]:((~creative(X)&humble(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((~creative(X)|old(X))))=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((~generous(X)&~old(X))=>(quiet(X)<~>humble(X))))&
(((tall(fred)|patient(fred)))=>(?[X]:((~strong(X)&~wise(X)))))&
(![X]:((patient(X)&~kind(X))=>creative(X)))&
(![X]:((creative(X)|~patie... | ~quiet(fred) | [
"p0",
"p5",
"p6",
"p7",
"p9",
"p11",
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8160091542713006042871375
% SZS output start Proof for 8160091542713006042871375
1. ! [X0] : ((humble(X0) & ~creative(X0)) <=> (~curious(X0) & quiet(X0))) [input p0]
6. ! [X0] : ((~patient(X0) | creative(X0)) <=> (quiet(X0) & ~brave(X0))) [input p5]
7. ! [X0] : ((~creative(X0) & calm(X0))... | 0 |
Everyone who is not brave is either not quiet or not happy and vice versa. If paul is either not brave or not calm then someone is creative and vice versa. If fred is either calm or not wise then someone is both quiet and not patient. Everyone who is humble is patient or not rich and vice versa. Everyone who is not cre... | Lucy is brave. | neutral | (![X]:(~brave(X)<=>(~quiet(X)<~>~happy(X))))&
(((~brave(paul)<~>~calm(paul)))<=>(?[X]:(creative(X))))&
(((calm(fred)<~>~wise(fred)))=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:(humble(X)<=>(patient(X)|~rich(X))))&
(![X]:((~creative(X)|creative(X))=>~humble(X)))&
(![X]:((creative(X)<~>quiet(X))=>(~funny(X)|~wise(X))))&
((... | brave(lucy) | [] | null | 0 |
Everyone who is both brave and creative is either not humble or not old and vice versa.
If someone is either tall or not strong then lucy is not creative and vice versa.
Everyone who is happy or patient is not humble.
If fred is either curious or calm then someone is both strong and creative and vice versa.
Everyone wh... | Alice is creative. | contradiction | (![X]:((brave(X)&creative(X))<=>(~humble(X)<~>~old(X))))&
((?[X]:((tall(X)<~>~strong(X))))<=>(~creative(lucy)))&
(![X]:((happy(X)|patient(X))=>~humble(X)))&
(((curious(fred)<~>calm(fred)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(tall(X)|patient(X))))&
(![X]:((~old(X)|brave(X))<=>happy(X)))&
... | creative(alice) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4574783873338424247621770
% SZS output start Proof for 4574783873338424247621770
3. ! [X0] : ((patient(X0) | happy(X0)) => ~humble(X0)) [input p2]
9. ! [X0] : (creative(X0) => (patient(X0) & humble(X0))) [input p8]
21. creative(alice) [input hypothesis]
25. ! [X0] : (~humble(X0) | (~patie... | 0 |
If someone is creative or wise then john is patient or creative and vice versa.
Everyone who is calm or not brave is brave.
If someone is quiet then john is not old and vice versa.
Everyone who is happy or generous is patient and vice versa.
Everyone who is either humble or not tall is either strong or not curious.
If ... | Alice is not patient. | contradiction | ((?[X]:((creative(X)|wise(X))))<=>((patient(john)|creative(john))))&
(![X]:((calm(X)|~brave(X))=>brave(X)))&
((?[X]:(quiet(X)))<=>(~old(john)))&
(![X]:((happy(X)|generous(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))=>(strong(X)<~>~curious(X))))&
((?[X]:((~kind(X)<~>brave(X))))=>(?[X]:((~wise(X)|~creative(X)))))&
(... | ~patient(alice) | [
"p3",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 85617437208370653118144
% SZS output start Proof for 85617437208370653118144
4. ! [X0] : ((generous(X0) | happy(X0)) <=> patient(X0)) [input p3]
13. ! [X0] : ((generous(X0) | ~kind(X0)) => happy(X0)) [input p12]
19. kind(alice) <~> ~happy(alice) [input p18]
23. ~patient(alice) [input hypo... | 0 |
If lucy is kind then someone is not kind.
If alice is funny or not kind then john is not creative or not quiet and vice versa.
Everyone who is not humble is tall or humble and vice versa.
Everyone who is creative or not brave is either not old or tall.
If paul is both calm and generous then someone is either tall or no... | Paul is not curious. | contradiction | ((kind(lucy))=>(?[X]:(~kind(X))))&
(((funny(alice)|~kind(alice)))<=>((~creative(john)|~quiet(john))))&
(![X]:(~humble(X)<=>(tall(X)|humble(X))))&
(![X]:((creative(X)|~brave(X))=>(~old(X)<~>tall(X))))&
(((calm(paul)&generous(paul)))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((~curious(X)|rich(X))=>~calm(X)))&
(![X]:((brav... | ~curious(paul) | [
"p2",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 18796972520442235848784
% SZS output start Proof for 18796972520442235848784
3. ! [X0] : (~humble(X0) <=> (humble(X0) | tall(X0))) [input p2]
5. (generous(paul) & calm(paul)) <=> ? [X0] : (tall(X0) <~> ~rich(X0)) [input p4]
6. ! [X0] : ((rich(X0) | ~curious(X0)) => ~calm(X0)) [input p5]
1... | 0 |
If someone is not patient then someone is both not rich and not kind.
Everyone who is not calm or generous is both tall and not patient.
If someone is kind then someone is either happy or kind.
If someone is curious then someone is not kind and vice versa.
Everyone who is not generous or kind is not calm.
If someone is... | Mary is quiet. | neutral | ((?[X]:(~patient(X)))=>(?[X]:((~rich(X)&~kind(X)))))&
(![X]:((~calm(X)|generous(X))=>(tall(X)&~patient(X))))&
((?[X]:(kind(X)))=>(?[X]:((happy(X)<~>kind(X)))))&
((?[X]:(curious(X)))<=>(?[X]:(~kind(X))))&
(![X]:((~generous(X)|kind(X))=>~calm(X)))&
((?[X]:((~patient(X)|brave(X))))<=>((~old(john)<~>~generous(john))))&
(![... | quiet(mary) | [] | null | 0 |
If fred is not quiet or creative then fred is both not quiet and old. If lucy is funny then someone is rich and vice versa. Everyone who is either happy or not generous is not generous or not brave and vice versa. If someone is calm or quiet then someone is either creative or not kind and vice versa. Everyone who is no... | Fred is not calm. | entailment | (((~quiet(fred)|creative(fred)))=>((~quiet(fred)&old(fred))))&
((funny(lucy))<=>(?[X]:(rich(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(~generous(X)|~brave(X))))&
((?[X]:((calm(X)|quiet(X))))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((~generous(X)|~patient(X))<=>(~calm(X)<~>curious(X))))&
((?[X]:((kind(X)&calm(X))))=... | ~calm(fred) | [
"p2",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5672843810781219950474689
% SZS output start Proof for 5672843810781219950474689
3. ! [X0] : ((happy(X0) <~> ~generous(X0)) <=> (~brave(X0) | ~generous(X0))) [input p2]
5. ! [X0] : ((~patient(X0) | ~generous(X0)) <=> (~calm(X0) <~> curious(X0))) [input p4]
9. ! [X0] : ((~kind(X0) | calm(X... | 0 |
Everyone who is either not patient or not rich is either not curious or not strong and vice versa. Everyone who is both not creative and calm is strong. If paul is strong then someone is either not kind or happy and vice versa. Everyone who is both not tall and not curious is not creative or not tall and vice versa. If... | John is brave. | neutral | (![X]:((~patient(X)<~>~rich(X))<=>(~curious(X)<~>~strong(X))))&
(![X]:((~creative(X)&calm(X))=>strong(X)))&
((strong(paul))<=>(?[X]:((~kind(X)<~>happy(X)))))&
(![X]:((~tall(X)&~curious(X))<=>(~creative(X)|~tall(X))))&
(((~happy(alice)&~old(alice)))=>((brave(john)|~humble(john))))&
(![X]:((creative(X)&~rich(X))=>(wise(X... | brave(john) | [] | null | 0 |
Everyone who is both not quiet and not kind is not patient and vice versa.
Everyone who is either tall or old is either not happy or quiet.
If lucy is both not creative and creative then someone is rich.
If alice is both not funny and generous then lucy is not kind or creative.
If mary is both not old and tall then sus... | Mary is tall. | neutral | (![X]:((~quiet(X)&~kind(X))<=>~patient(X)))&
(![X]:((tall(X)<~>old(X))=>(~happy(X)<~>quiet(X))))&
(((~creative(lucy)&creative(lucy)))=>(?[X]:(rich(X))))&
(((~funny(alice)&generous(alice)))=>((~kind(lucy)|creative(lucy))))&
(((~old(mary)&tall(mary)))<=>((~strong(susan)&~old(susan))))&
(![X]:(wise(X)=>~funny(X)))&
((?[X]... | tall(mary) | [] | null | 0 |
Everyone who is brave is both happy and not rich and vice versa.
Everyone who is either tall or not humble is both not curious and patient and vice versa.
Everyone who is either creative or not rich is curious.
If mary is creative or not old then someone is either tall or not old.
If someone is both creative and not ca... | Fred is kind. | contradiction | (![X]:(brave(X)<=>(happy(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curious(X)&patient(X))))&
(![X]:((creative(X)<~>~rich(X))=>curious(X)))&
(((creative(mary)|~old(mary)))=>(?[X]:((tall(X)<~>~old(X)))))&
((?[X]:((creative(X)&~calm(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>((~brav... | kind(fred) | [
"p1",
"p6",
"p7",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 708185264114955319252753
% SZS output start Proof for 708185264114955319252753
2. ! [X0] : ((tall(X0) <~> ~humble(X0)) <=> (patient(X0) & ~curious(X0))) [input p1]
7. ! [X0] : ((quiet(X0) | patient(X0)) <=> (~strong(X0) & ~kind(X0))) [input p6]
8. generous(fred) <=> (creative(fred) | ~tal... | 0 |
If mary is both not funny and creative then someone is both not strong and not humble and vice versa. If someone is not quiet then someone is both not tall and not kind and vice versa. Everyone who is either curious or not humble is kind and vice versa. If lucy is either humble or not wise then paul is not humble or ri... | Mary is funny. | neutral | (((~funny(mary)&creative(mary)))<=>(?[X]:((~strong(X)&~humble(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~tall(X)&~kind(X)))))&
(![X]:((curious(X)<~>~humble(X))<=>kind(X)))&
(((humble(lucy)<~>~wise(lucy)))<=>((~humble(paul)|rich(paul))))&
((?[X]:((~creative(X)<~>funny(X))))=>(~happy(john)))&
(![X]:((~wise(X)|~calm(X))<=>cal... | funny(mary) | [] | null | 0 |
If someone is both not wise and not brave then someone is both not tall and old.
If someone is not quiet or rich then susan is tall.
If someone is either not old or not creative then mary is either not happy or not quiet.
If susan is both not happy and funny then john is patient and vice versa.
If someone is not curiou... | Alice is brave. | entailment | ((?[X]:((~wise(X)&~brave(X))))=>(?[X]:((~tall(X)&old(X)))))&
((?[X]:((~quiet(X)|rich(X))))=>(tall(susan)))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((?[X]:(~curious(X)))=>(?[X]:(~wise(X))))&
(![X]:((strong(X)<~>~calm(X))=>(rich(X)<~>~wise... | brave(alice) | [
"p1",
"p6",
"p8",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 700846425218340405692311
% SZS output start Proof for 700846425218340405692311
2. ? [X0] : (rich(X0) | ~quiet(X0)) => tall(susan) [input p1]
7. ! [X0] : ((rich(X0) | humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p6]
9. ! [X0] : ((~brave(X0) <~> patient(X0)) => ~old(X0)) [input p8]
13. ?... | 0 |
If alice is not kind or tall then someone is either not calm or not tall and vice versa.
Everyone who is funny or curious is either tall or happy.
Everyone who is both calm and not generous is not wise and vice versa.
Everyone who is both not rich and not generous is rich or calm and vice versa.
Everyone who is either ... | Mary is generous. | contradiction | (((~kind(alice)|tall(alice)))<=>(?[X]:((~calm(X)<~>~tall(X)))))&
(![X]:((funny(X)|curious(X))=>(tall(X)<~>happy(X))))&
(![X]:((calm(X)&~generous(X))<=>~wise(X)))&
(![X]:((~rich(X)&~generous(X))<=>(rich(X)|calm(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~creative(X)|~kind(X))))&
(((~funny(paul)<~>~creative(paul)))=>(?[X]... | generous(mary) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3817227753108899257910672
% SZS output start Proof for 3817227753108899257910672
4. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (~kind(X0) | ~creative(X0))) [input p4]
8. ? [X0] : (rich(X0) & kind(X0)) <=> ? [X0... | 0 |
Everyone who is not strong or rich is not creative.
Everyone who is not tall is either quiet or curious.
If alice is not tall then alice is not kind and vice versa.
Everyone who is both humble and not strong is generous or calm and vice versa.
Everyone who is both not old and not generous is happy or not strong and vic... | John is not wise. | entailment | (![X]:((~strong(X)|rich(X))=>~creative(X)))&
(![X]:(~tall(X)=>(quiet(X)<~>curious(X))))&
((~tall(alice))<=>(~kind(alice)))&
(![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))&
(![X]:((~old(X)&~generous(X))<=>(happy(X)|~strong(X))))&
((?[X]:((old(X)|~brave(X))))=>((happy(paul)|~kind(paul))))&
(![X]:((~patient(X)<~>... | ~wise(john) | [
"p3",
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 164373045683230929012984
% SZS output start Proof for 164373045683230929012984
4. ! [X0] : ((~strong(X0) & humble(X0)) <=> (calm(X0) | generous(X0))) [input p3]
5. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~strong(X0) | happy(X0))) [input p4]
14. ~wise(john) <=> ? [X0] : (kind(X0) | ~calm... | 0 |
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