premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is funny then fred is not creative or humble and vice versa. If someone is tall then john is both rich and patient. If someone is both rich and tall then susan is happy. Everyone who is either generous or happy is either not humble or generous and vice versa. If lucy is not funny or happy then someone is both n... | Fred is not tall. | neutral | ((funny(mary))<=>((~creative(fred)|humble(fred))))&
((?[X]:(tall(X)))=>((rich(john)&patient(john))))&
((?[X]:((rich(X)&tall(X))))=>(happy(susan)))&
(![X]:((generous(X)<~>happy(X))<=>(~humble(X)<~>generous(X))))&
(((~funny(lucy)|happy(lucy)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((creative(X)|wise(X))<=>(generous(X)&wi... | ~tall(fred) | [] | null | 0 |
If someone is both calm and not rich then someone is old and vice versa.
If alice is both not funny and strong then susan is patient or not calm.
If someone is either not wise or not brave then someone is strong or curious.
If someone is creative or patient then alice is generous and vice versa.
Everyone who is strong ... | John is curious. | contradiction | ((?[X]:((calm(X)&~rich(X))))<=>(?[X]:(old(X))))&
(((~funny(alice)&strong(alice)))=>((patient(susan)|~calm(susan))))&
((?[X]:((~wise(X)<~>~brave(X))))=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((creative(X)|patient(X))))<=>(generous(alice)))&
(![X]:(strong(X)<=>(patient(X)|brave(X))))&
(![X]:(~funny(X)=>(~patient(X)|~br... | curious(john) | [
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8736773829801344985178850
% SZS output start Proof for 8736773829801344985178850
15. ! [X0] : (~quiet(X0) <=> curious(X0)) [input p14]
18. quiet(john) [input p17]
23. curious(john) [input hypothesis]
69. ! [X0] : ((~quiet(X0) | ~curious(X0)) & (curious(X0) | quiet(X0))) [nnf transformatio... | 0 |
Everyone who is both not rich and not wise is either curious or happy. Everyone who is strong or 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 ... | John is wise. | entailment | (![X]:((~rich(X)&~wise(X))=>(curious(X)<~>happy(X))))&
(![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]:... | wise(john) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 424782204287787815109439
% SZS output start Proof for 424782204287787815109439
2. ! [X0] : ((humble(X0) | strong(X0)) => (brave(X0) <~> ~happy(X0))) [input p1]
4. ! [X0] : ((happy(X0) & patient(X0)) <=> (~wise(X0) | ~funny(X0))) [input p3]
7. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (~ol... | 0 |
Everyone who is either not generous or not kind is wise. If alice is either calm or humble then susan is both not wise and not quiet and vice versa. Everyone who is both not brave and not curious is both not patient and not tall and vice versa. If susan is either quiet or curious then someone is either not wise or not ... | Alice is not quiet. | neutral | (![X]:((~generous(X)<~>~kind(X))=>wise(X)))&
(((calm(alice)<~>humble(alice)))<=>((~wise(susan)&~quiet(susan))))&
(![X]:((~brave(X)&~curious(X))<=>(~patient(X)&~tall(X))))&
(((quiet(susan)<~>curious(susan)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((~rich(X)&~calm(X))<=>(tall(X)<~>~wise(X))))&
(![X]:(wise(X)=>(~wise(X)&... | ~quiet(alice) | [] | null | 0 |
Everyone who is both not tall and not brave is either curious or not old and vice versa.
Everyone who is creative is humble.
If fred is kind or rich then someone is not generous.
If mary is either patient or brave then mary is both not creative and strong.
Everyone who is either rich or not quiet is either strong or no... | John is not calm. | neutral | (![X]:((~tall(X)&~brave(X))<=>(curious(X)<~>~old(X))))&
(![X]:(creative(X)=>humble(X)))&
(((kind(fred)|rich(fred)))=>(?[X]:(~generous(X))))&
(((patient(mary)<~>brave(mary)))=>((~creative(mary)&strong(mary))))&
(![X]:((rich(X)<~>~quiet(X))<=>(strong(X)<~>~creative(X))))&
(![X]:(~tall(X)=>(~brave(X)&rich(X))))&
(![X]:((t... | ~calm(john) | [] | null | 0 |
Everyone who is not patient or not humble is both generous and humble. If alice is not old or tall then someone is happy or not wise. If mary is either tall or strong then lucy is either not quiet or not tall and vice versa. Everyone who is either not generous or rich is not creative and vice versa. If mary is either n... | Mary is strong. | entailment | (![X]:((~patient(X)|~humble(X))=>(generous(X)&humble(X))))&
(((~old(alice)|tall(alice)))=>(?[X]:((happy(X)|~wise(X)))))&
(((tall(mary)<~>strong(mary)))<=>((~quiet(lucy)<~>~tall(lucy))))&
(![X]:((~generous(X)<~>rich(X))<=>~creative(X)))&
(((~creative(mary)<~>~kind(mary)))=>((~curious(susan)<~>happy(susan))))&
(![X]:((~t... | strong(mary) | [
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6990777678624325996731148
% SZS output start Proof for 6990777678624325996731148
6. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (strong(X0) <~> ~patient(X0))) [input p5]
9. ! [X0] : (tall(X0) => (calm(X0) & ~calm(X0))) [input p8]
16. ! [X0] : (strong(X0) <=> (old(X0) | ~patient(X0))) [input p15]... | 0 |
If fred is both tall and not calm then someone is both happy and not tall. If paul is both tall and not happy then someone is both calm and happy. Everyone who is creative is both not funny and rich. If lucy is either generous or not rich then someone is happy or not funny and vice versa. Everyone who is either humble ... | Paul is kind. | neutral | (((tall(fred)&~calm(fred)))=>(?[X]:((happy(X)&~tall(X)))))&
(((tall(paul)&~happy(paul)))=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(creative(X)=>(~funny(X)&rich(X))))&
(((generous(lucy)<~>~rich(lucy)))<=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:((humble(X)<~>~calm(X))=>~happy(X)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~curio... | kind(paul) | [] | null | 0 |
If someone is both not humble and not generous then paul is both not funny and old and vice versa.
Everyone who is wise or strong is rich or not patient and vice versa.
Everyone who is kind is either curious or not generous and vice versa.
If paul is either not quiet or generous then john is either strong or calm.
Ever... | Paul is not old. | neutral | ((?[X]:((~humble(X)&~generous(X))))<=>((~funny(paul)&old(paul))))&
(![X]:((wise(X)|strong(X))<=>(rich(X)|~patient(X))))&
(![X]:(kind(X)<=>(curious(X)<~>~generous(X))))&
(((~quiet(paul)<~>generous(paul)))=>((strong(john)<~>calm(john))))&
(![X]:(~rich(X)<=>(patient(X)<~>happy(X))))&
((wise(paul))=>(rich(lucy)))&
(![X]:(k... | ~old(paul) | [] | null | 0 |
Everyone who is either not funny or quiet is not curious. Everyone who is both old and not rich is creative and vice versa. Everyone who is not rich is not patient and vice versa. Everyone who is not creative is both quiet and generous and vice versa. If someone is not brave or not generous then someone is either rich ... | Paul is curious. | entailment | (![X]:((~funny(X)<~>quiet(X))=>~curious(X)))&
(![X]:((old(X)&~rich(X))<=>creative(X)))&
(![X]:(~rich(X)<=>~patient(X)))&
(![X]:(~creative(X)<=>(quiet(X)&generous(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((rich(X)<~>~rich(X)))))&
(((~happy(john)<~>tall(john)))=>((funny(mary)&tall(mary))))&
(![X]:((patient(X)<~>~... | curious(paul) | [
"p1",
"p3",
"p7",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3197880967789249167715813
% SZS output start Proof for 3197880967789249167715813
2. ! [X0] : ((~rich(X0) & old(X0)) <=> creative(X0)) [input p1]
4. ! [X0] : (~creative(X0) <=> (generous(X0) & quiet(X0))) [input p3]
8. ! [X0] : (generous(X0) <=> (curious(X0) & kind(X0))) [input p7]
9. ! [X... | 0 |
Everyone who is not humble is either not quiet or patient. Everyone who is not quiet or not old is quiet and vice versa. Everyone who is both not humble and not quiet is not generous and vice versa. Everyone who is either curious or not tall is both funny and tall. If someone is both tall and strong then susan is eithe... | John is quiet. | entailment | (![X]:(~humble(X)=>(~quiet(X)<~>patient(X))))&
(![X]:((~quiet(X)|~old(X))<=>quiet(X)))&
(![X]:((~humble(X)&~quiet(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~tall(X))=>(funny(X)&tall(X))))&
((?[X]:((tall(X)&strong(X))))<=>((generous(susan)<~>~curious(susan))))&
(![X]:((rich(X)&happy(X))=>(curious(X)<~>strong(X))))&
(((... | quiet(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7139459661250033768696030
% SZS output start Proof for 7139459661250033768696030
2. ! [X0] : ((~old(X0) | ~quiet(X0)) <=> quiet(X0)) [input p1]
25. ~quiet(john) [input hypothesis]
41. ! [X0] : (((~old(X0) | ~quiet(X0)) | ~quiet(X0)) & (quiet(X0) | (old(X0) & quiet(X0)))) [nnf transformati... | 0 |
Everyone who is either calm or not funny is kind and vice versa.
If someone is either not kind or strong then someone is not curious or not creative and vice versa.
Everyone who is not happy or not old is happy or not curious and vice versa.
If mary is either not rich or generous then someone is both not creative and n... | Susan is tall. | neutral | (![X]:((calm(X)<~>~funny(X))<=>kind(X)))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((~curious(X)|~creative(X)))))&
(![X]:((~happy(X)|~old(X))<=>(happy(X)|~curious(X))))&
(((~rich(mary)<~>generous(mary)))<=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:(happy(X)=>~wise(X)))&
(![X]:((generous(X)&~rich(X))<=>(~calm(X)|calm(X)... | tall(susan) | [] | null | 0 |
Everyone who is not patient or not quiet is either kind or not curious.
Everyone who is both not quiet and happy is quiet or rich and vice versa.
Everyone who is both calm and not rich is either wise or generous.
Everyone who is humble or not old is both happy and not curious.
If mary is both not kind and not quiet the... | Susan is happy. | entailment | (![X]:((~patient(X)|~quiet(X))=>(kind(X)<~>~curious(X))))&
(![X]:((~quiet(X)&happy(X))<=>(quiet(X)|rich(X))))&
(![X]:((calm(X)&~rich(X))=>(wise(X)<~>generous(X))))&
(![X]:((humble(X)|~old(X))=>(happy(X)&~curious(X))))&
(((~kind(mary)&~quiet(mary)))=>((~humble(paul)|brave(paul))))&
(![X]:(~creative(X)=>~calm(X)))&
((?[X... | happy(susan) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 852111399517046149926862
% SZS output start Proof for 852111399517046149926862
2. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (rich(X0) | quiet(X0))) [input p1]
13. ! [X0] : ((quiet(X0) <~> ~rich(X0)) => happy(X0)) [input p12]
24. ~happy(susan) [input hypothesis]
37. ! [X0] : (happy(X0) | (qui... | 0 |
Everyone who is both strong and tall is strong and vice versa.
Everyone who is both tall and not strong is not calm and vice versa.
Everyone who is curious is either not humble or not tall.
Everyone who is not tall is either not kind or not curious.
Everyone who is either not wise or funny is both strong and curious an... | Alice is old. | entailment | (![X]:((strong(X)&tall(X))<=>strong(X)))&
(![X]:((tall(X)&~strong(X))<=>~calm(X)))&
(![X]:(curious(X)=>(~humble(X)<~>~tall(X))))&
(![X]:(~tall(X)=>(~kind(X)<~>~curious(X))))&
(![X]:((~wise(X)<~>funny(X))<=>(strong(X)&curious(X))))&
(![X]:((humble(X)<~>~happy(X))=>funny(X)))&
((?[X]:((wise(X)|~humble(X))))=>((old(john)&... | old(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8092227544100791560640938
% SZS output start Proof for 8092227544100791560640938
16. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (~calm(X0) & old(X0))) [input p15]
24. ~old(alice) [input hypothesis]
39. ! [X0] : ((~calm(X0) & old(X0)) | (happy(X0) <=> ~happy(X0))) [ennf transformation 16]
62.... | 0 |
Everyone who is both not tall and not calm is generous and vice versa. If susan is both not tall and not quiet then susan is both not generous and not curious and vice versa. Everyone who is both not calm and kind is not creative or not funny and vice versa. If mary is funny or old then someone is not calm and vice ver... | Mary is calm. | neutral | (![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(((~tall(susan)&~quiet(susan)))<=>((~generous(susan)&~curious(susan))))&
(![X]:((~calm(X)&kind(X))<=>(~creative(X)|~funny(X))))&
(((funny(mary)|old(mary)))<=>(?[X]:(~calm(X))))&
(![X]:((~humble(X)&~wise(X))<=>(calm(X)&~wise(X))))&
(((~brave(john)&quiet(john)))<=>((~funny(mary... | calm(mary) | [] | null | 0 |
Everyone who is not wise is both wise and quiet.
Everyone who is not strong or not quiet is not quiet.
Everyone who is both brave and not patient is either tall or not happy and vice versa.
Everyone who is both not tall and not rich is brave or not brave and vice versa.
Everyone who is either not kind or quiet is not c... | Paul is happy. | entailment | (![X]:(~wise(X)=>(wise(X)&quiet(X))))&
(![X]:((~strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((brave(X)&~patient(X))<=>(tall(X)<~>~happy(X))))&
(![X]:((~tall(X)&~rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~kind(X)<~>quiet(X))=>~calm(X)))&
(((quiet(john)&old(john)))<=>(?[X]:((~happy(X)<~>patient(X)))))&
(![X]:((~wise(X)<~>o... | happy(paul) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7629039884614241917663948
% SZS output start Proof for 7629039884614241917663948
1. ! [X0] : (~wise(X0) => (quiet(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~patient(X0) & brave(X0)) <=> (tall(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (~brave(X0) | brave(X0))... | 0 |
Everyone who is either not quiet or not calm is either not humble or not rich and vice versa. If someone is either not curious or not old then someone is not funny. If someone is humble 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 i... | Susan is not kind. | neutral | (![X]:((~quiet(X)<~>~calm(X))<=>(~humble(X)<~>~rich(X))))&
((?[X]:((~curious(X)<~>~old(X))))=>(?[X]:(~funny(X))))&
((?[X]:(humble(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... | ~kind(susan) | [] | null | 0 |
If paul is both not patient and happy then john is either brave or humble and vice versa. If someone is either not tall or not strong then someone is either happy or patient. Everyone who is both happy and not tall is not humble. If someone is happy then someone is both not patient and not wise and vice versa. Everyone... | Alice is quiet. | contradiction | (((~patient(paul)&happy(paul)))<=>((brave(john)<~>humble(john))))&
((?[X]:((~tall(X)<~>~strong(X))))=>(?[X]:((happy(X)<~>patient(X)))))&
(![X]:((happy(X)&~tall(X))=>~humble(X)))&
((?[X]:(happy(X)))<=>(?[X]:((~patient(X)&~wise(X)))))&
(![X]:(~generous(X)=>(~tall(X)&strong(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>~tall(X))... | quiet(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2504414896570039502459547
% SZS output start Proof for 2504414896570039502459547
8. ! [X0] : (quiet(X0) <=> (~creative(X0) & ~quiet(X0))) [input p7]
24. quiet(alice) [input hypothesis]
53. ! [X0] : ((quiet(X0) | (creative(X0) | quiet(X0))) & ((~creative(X0) & ~quiet(X0)) | ~quiet(X0))) [n... | 0 |
Everyone who is either not curious or not calm is either happy or not funny and vice versa.
Everyone who is both not strong and not brave is either creative or not curious.
Everyone who is both not humble and patient is both creative and funny and vice versa.
Everyone who is rich or happy is not wise and vice versa.
Ev... | Fred is not brave. | neutral | (![X]:((~curious(X)<~>~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((~strong(X)&~brave(X))=>(creative(X)<~>~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(creative(X)&funny(X))))&
(![X]:((rich(X)|happy(X))<=>~wise(X)))&
(![X]:((~funny(X)|old(X))<=>(~wise(X)&strong(X))))&
(![X]:((humble(X)|~humble(X))<=>creative(X)))&
... | ~brave(fred) | [] | null | 0 |
Everyone who is both quiet and not calm is creative and vice versa.
Everyone who is not old or humble is quiet.
Everyone who is not wise is creative or brave and vice versa.
If someone is either rich or not quiet then someone is either not happy or old.
If someone is both generous and kind then someone is both wise and... | Fred is not wise. | neutral | (![X]:((quiet(X)&~calm(X))<=>creative(X)))&
(![X]:((~old(X)|humble(X))=>quiet(X)))&
(![X]:(~wise(X)<=>(creative(X)|brave(X))))&
((?[X]:((rich(X)<~>~quiet(X))))=>(?[X]:((~happy(X)<~>old(X)))))&
((?[X]:((generous(X)&kind(X))))<=>(?[X]:((wise(X)&calm(X)))))&
(![X]:((calm(X)<~>generous(X))=>(~generous(X)&wise(X))))&
((?[X]... | ~wise(fred) | [] | null | 0 |
If john is either not curious or not humble then someone is either happy or not creative and vice versa.
If someone is not kind or not funny then someone is calm or not funny and vice versa.
Everyone who is not happy is not wise.
If mary is happy or not calm then someone is either not calm or humble and vice versa.
Eve... | Susan is creative. | contradiction | (((~curious(john)<~>~humble(john)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
((?[X]:((~kind(X)|~funny(X))))<=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:(~happy(X)=>~wise(X)))&
(((happy(mary)|~calm(mary)))<=>(?[X]:((~calm(X)<~>humble(X)))))&
(![X]:((~rich(X)&~brave(X))<=>(calm(X)&brave(X))))&
(![X]:((brave(X)|creative(X))<=>~p... | creative(susan) | [
"p9",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6240000878648153017415972
% SZS output start Proof for 6240000878648153017415972
10. (~creative(susan) & ~calm(susan)) <=> ? [X0] : (~generous(X0) | ~creative(X0)) [input p9]
11. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~calm(X0)) [input p10]
13. ! [X0] : ((humble(X0) & ~wise(X0)) <=> (cr... | 0 |
If john is either not creative or calm then alice is wise.
Everyone who is brave or not generous is either not curious or funny.
Everyone who is both not patient and not kind is both quiet and not funny and vice versa.
If john is funny then someone is not old and vice versa.
Everyone who is either quiet or not funny is... | Alice is wise. | neutral | (((~creative(john)<~>calm(john)))=>(wise(alice)))&
(![X]:((brave(X)|~generous(X))=>(~curious(X)<~>funny(X))))&
(![X]:((~patient(X)&~kind(X))<=>(quiet(X)&~funny(X))))&
((funny(john))<=>(?[X]:(~old(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>(~tall(X)<~>generous(X))))&
(![X]:(~brave(X)=>(~humble(X)<~>tall(X))))&
(![X]:(~humbl... | wise(alice) | [] | null | 0 |
If someone is humble or kind then someone is both quiet and not old and vice versa. If someone is either not brave or not quiet then someone is not generous. Everyone who is both not funny and not brave is calm and vice versa. Everyone who is brave or old is both not rich and curious and vice versa. If mary is wise or ... | Susan is not happy. | neutral | ((?[X]:((humble(X)|kind(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(?[X]:... | ~happy(susan) | [] | null | 0 |
If someone is both not wise and not funny then paul is not creative or generous. If someone is quiet or not quiet then someone is not patient or strong and vice versa. Everyone who is creative or not generous is either not quiet or old and vice versa. If someone is both not strong and funny then someone is not strong o... | Alice is not kind. | contradiction | ((?[X]:((~wise(X)&~funny(X))))=>((~creative(paul)|generous(paul))))&
((?[X]:((quiet(X)|~quiet(X))))<=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((creative(X)|~generous(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:((~strong(X)&funny(X))))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((generous(X)&happy(X))=>(~kind(X)&old(X))))&
(((~f... | ~kind(alice) | [
"p7",
"p9",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3407942711627682300219890
% SZS output start Proof for 3407942711627682300219890
8. ! [X0] : ((wise(X0) <~> calm(X0)) <=> (rich(X0) | ~strong(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (~rich(X0) | ~humble(X0))) [input p9]
11. ! [X0] : ((wise(X0) | ~generous(X0)) => (q... | 0 |
Everyone who is not tall or not kind is not old and vice versa. Everyone who is both brave and patient is wise and vice versa. Everyone who is both not creative and not brave is kind or not humble and vice versa. If susan is either not humble or not quiet then john is both brave and kind and vice versa. Everyone who is... | John is creative. | neutral | (![X]:((~tall(X)|~kind(X))<=>~old(X)))&
(![X]:((brave(X)&patient(X))<=>wise(X)))&
(![X]:((~creative(X)&~brave(X))<=>(kind(X)|~humble(X))))&
(((~humble(susan)<~>~quiet(susan)))<=>((brave(john)&kind(john))))&
(![X]:((happy(X)<~>~strong(X))<=>(~happy(X)|patient(X))))&
((~funny(alice))<=>((~happy(paul)&~wise(paul))))&
(![X... | creative(john) | [] | null | 0 |
Everyone who is either not strong or old is both patient and generous and vice versa.
Everyone who is either strong or not rich is generous or brave.
Everyone who is patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise the... | Mary is not kind. | contradiction | (![X]:((~strong(X)<~>old(X))<=>(patient(X)&generous(X))))&
(![X]:((strong(X)<~>~rich(X))=>(generous(X)|brave(X))))&
(![X]:(patient(X)<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)... | ~kind(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7194056577652680620233955
% SZS output start Proof for 7194056577652680620233955
16. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> (~happy(X0) & kind(X0))) [input p15]
22. ~kind(mary) [input hypothesis]
59. ! [X0] : (((~curious(X0) | ~kind(X0)) | (happy(X0) | ~kind(X0))) & ((~happy(X0) & kind(... | 0 |
If john is wise then someone is either not quiet or brave and vice versa. Everyone who is both quiet and generous is both not brave and not humble. Everyone who is funny is tall and vice versa. Everyone who is both curious and not humble is happy or not tall and vice versa. Everyone who is tall or kind is old. If lucy ... | Mary is humble. | contradiction | ((wise(john))<=>(?[X]:((~quiet(X)<~>brave(X)))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X)&~humble(X))<=>(happy(X)|~tall(X))))&
(![X]:((tall(X)|kind(X))=>old(X)))&
((~brave(lucy))=>((old(john)|strong(john))))&
(![X]:((~old(X)|~strong(X))<=>(funny(X)&kind(X... | humble(mary) | [
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3116456345590610952240513
% SZS output start Proof for 3116456345590610952240513
3. ! [X0] : (funny(X0) <=> tall(X0)) [input p2]
4. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~tall(X0) | happy(X0))) [input p3]
15. (~calm(mary) & ~funny(mary)) <=> ? [X0] : (happy(X0) | ~happy(X0)) [input p... | 0 |
If john is not wise or curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either wise ... | Fred is not curious. | neutral | (((~wise(john)|curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | ~curious(fred) | [] | null | 0 |
If mary is both quiet and not old then susan is kind or not wise and vice versa.
If someone is either not funny or not generous then someone is not tall and vice versa.
Everyone who is both curious and funny is not wise.
If paul is either not brave or happy then lucy is not wise or not creative.
Everyone who is strong ... | Lucy is quiet. | entailment | (((quiet(mary)&~old(mary)))<=>((kind(susan)|~wise(susan))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:(~tall(X))))&
(![X]:((curious(X)&funny(X))=>~wise(X)))&
(((~brave(paul)<~>happy(paul)))=>((~wise(lucy)|~creative(lucy))))&
(![X]:(strong(X)=>~calm(X)))&
((?[X]:((curious(X)<~>old(X))))=>((generous(susan)|~wise(susa... | quiet(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 735964984422557822740087
% SZS output start Proof for 735964984422557822740087
13. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=> strong(X0)) [input p12]
25. ~quiet(lucy) [input hypothesis]
62. ! [X0] : ((((~strong(X0) | quiet(X0)) & (strong(X0) | ~quiet(X0))) | ~strong(X0)) & (strong(X0) | ((... | 0 |
Everyone who is both not generous and not rich is both rich and not creative and vice versa.
Everyone who is not calm is not patient or strong and vice versa.
Everyone who is either not humble or calm is not calm or creative.
Everyone who is not calm is old or not rich and vice versa.
If lucy is curious or not humble t... | Mary is not humble. | neutral | (![X]:((~generous(X)&~rich(X))<=>(rich(X)&~creative(X))))&
(![X]:(~calm(X)<=>(~patient(X)|strong(X))))&
(![X]:((~humble(X)<~>calm(X))=>(~calm(X)|creative(X))))&
(![X]:(~calm(X)<=>(old(X)|~rich(X))))&
(((curious(lucy)|~humble(lucy)))<=>((~humble(lucy)|~strong(lucy))))&
((?[X]:((~calm(X)&~rich(X))))<=>((~creative(alice)<... | ~humble(mary) | [] | null | 0 |
Everyone who is either humble or brave is both strong and calm and vice versa. If lucy is either not wise or quiet then fred is either funny or not calm. Everyone who is either patient or rich is generous. If susan is both not tall and creative then susan is not strong or brave and vice versa. If someone is both not st... | Paul is not old. | entailment | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&calm(X))))&
(((~wise(lucy)<~>quiet(lucy)))=>((funny(fred)<~>~calm(fred))))&
(![X]:((patient(X)<~>rich(X))=>generous(X)))&
(((~tall(susan)&creative(susan)))<=>((~strong(susan)|brave(susan))))&
((?[X]:((~strong(X)&quiet(X))))=>((tall(mary)&creative(mary))))&
((?[X]:(~calm(X)))<=... | ~old(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 641060048073519933580023
% SZS output start Proof for 641060048073519933580023
19. ~strong(paul) & ~old(paul) [input p18]
25. old(paul) [input hypothesis]
145. ~old(paul) [cnf transformation 19]
154. old(paul) [cnf transformation 25]
306. 34 <=> old(paul) [avatar definition]
379. ~34 [ava... | 0 |
Everyone who is not happy is either not humble or old.
If someone is either happy or tall then someone is both not wise and not calm and vice versa.
If alice is either not old or humble then someone is not patient or not quiet.
Everyone who is either happy or not creative is either not calm or not brave and vice versa.... | Lucy is not tall. | contradiction | (![X]:(~happy(X)=>(~humble(X)<~>old(X))))&
((?[X]:((happy(X)<~>tall(X))))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((~old(alice)<~>humble(alice)))=>(?[X]:((~patient(X)|~quiet(X)))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((~quiet(X)|~happy(X))=>(rich(X)<~>~generous(X))))&
((?[X]:(generous(X)))=>((... | ~tall(lucy) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8825769888977759731960976
% SZS output start Proof for 8825769888977759731960976
9. ? [X0] : ~wise(X0) <=> (tall(lucy) & ~rich(lucy)) [input p8]
22. ~rich(alice) & ~wise(alice) [input p21]
25. ~tall(lucy) [input hypothesis]
54. (? [X0] : ~wise(X0) | (~tall(lucy) | rich(lucy))) & ((tall(lu... | 0 |
Everyone who is old or wise is both funny and not creative and vice versa.
If someone is both strong and wise then someone is either not quiet or quiet.
Everyone who is strong is happy or not rich.
If someone is humble or not old then fred is old and vice versa.
Everyone who is calm or not creative is either not humble... | Alice is not creative. | entailment | (![X]:((old(X)|wise(X))<=>(funny(X)&~creative(X))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:(strong(X)=>(happy(X)|~rich(X))))&
((?[X]:((humble(X)|~old(X))))<=>(old(fred)))&
(![X]:((calm(X)|~creative(X))=>(~humble(X)<~>calm(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>~pa... | ~creative(alice) | [
"p0",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7415422030569757473726052
% SZS output start Proof for 7415422030569757473726052
1. ! [X0] : ((wise(X0) | old(X0)) <=> (~creative(X0) & funny(X0))) [input p0]
8. ! [X0] : ((old(X0) & happy(X0)) <=> (calm(X0) | ~strong(X0))) [input p7]
9. ! [X0] : ((funny(X0) | creative(X0)) => (~strong(X0... | 0 |
If alice is both not humble and happy then someone is not old or tall.
Everyone who is tall is brave.
Everyone who is either wise or kind is both strong and calm.
Everyone who is old or funny is both curious and not strong and vice versa.
Everyone who is not calm is either not old or creative.
If someone is both creati... | Paul is quiet. | contradiction | (((~humble(alice)&happy(alice)))=>(?[X]:((~old(X)|tall(X)))))&
(![X]:(tall(X)=>brave(X)))&
(![X]:((wise(X)<~>kind(X))=>(strong(X)&calm(X))))&
(![X]:((old(X)|funny(X))<=>(curious(X)&~strong(X))))&
(![X]:(~calm(X)=>(~old(X)<~>creative(X))))&
((?[X]:((creative(X)&tall(X))))=>(?[X]:(calm(X))))&
(![X]:((~humble(X)|~funny(X)... | quiet(paul) | [
"p3",
"p4",
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8893375699880502452909494
% SZS output start Proof for 8893375699880502452909494
4. ! [X0] : ((funny(X0) | old(X0)) <=> (~strong(X0) & curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) => (~old(X0) <~> creative(X0))) [input p4]
8. ? [X0] : (funny(X0) <~> calm(X0)) => ~quiet(paul) [input p7]... | 0 |
If fred is old then fred is both not calm and not brave.
Everyone who is brave or not funny is wise or not tall and vice versa.
Everyone who is not humble is either not happy or not wise and vice versa.
If paul is either not quiet or not curious then someone is strong or quiet.
Everyone who is generous or not quiet is ... | Fred is not wise. | contradiction | ((old(fred))=>((~calm(fred)&~brave(fred))))&
(![X]:((brave(X)|~funny(X))<=>(wise(X)|~tall(X))))&
(![X]:(~humble(X)<=>(~happy(X)<~>~wise(X))))&
(((~quiet(paul)<~>~curious(paul)))=>(?[X]:((strong(X)|quiet(X)))))&
(![X]:((generous(X)|~quiet(X))=>(rich(X)<~>~old(X))))&
((?[X]:((~happy(X)<~>patient(X))))=>(?[X]:((creative(X... | ~wise(fred) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 645323681197649624145030
% SZS output start Proof for 645323681197649624145030
14. ? [X0] : (~funny(X0) | curious(X0)) => wise(fred) [input p13]
18. curious(susan) & ~patient(susan) [input p17]
25. ~wise(fred) [input hypothesis]
33. wise(fred) | ! [X0] : (funny(X0) & ~curious(X0)) [ennf t... | 0 |
Everyone who is both kind and calm is generous.
Everyone who is not tall is both happy and quiet.
Everyone who is not patient is not quiet or not generous.
Everyone who is not strong is both not happy and not rich and vice versa.
If fred is both creative and not happy then someone is either calm or old.
If someone is b... | Susan is not rich. | neutral | (![X]:((kind(X)&calm(X))=>generous(X)))&
(![X]:(~tall(X)=>(happy(X)&quiet(X))))&
(![X]:(~patient(X)=>(~quiet(X)|~generous(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(((creative(fred)&~happy(fred)))=>(?[X]:((calm(X)<~>old(X)))))&
((?[X]:((~old(X)&old(X))))<=>(?[X]:((humble(X)&~quiet(X)))))&
(((~brave(susan)|curi... | ~rich(susan) | [] | null | 0 |
If paul is either not rich or rich then fred is not happy or not funny.
Everyone who is either not patient or not happy is both not generous and not happy and vice versa.
If alice is curious or not old then susan is either curious or not brave and vice versa.
Everyone who is not humble is old or curious.
If someone is ... | Fred is not calm. | neutral | (((~rich(paul)<~>rich(paul)))=>((~happy(fred)|~funny(fred))))&
(![X]:((~patient(X)<~>~happy(X))<=>(~generous(X)&~happy(X))))&
(((curious(alice)|~old(alice)))<=>((curious(susan)<~>~brave(susan))))&
(![X]:(~humble(X)=>(old(X)|curious(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>((quiet(susan)|~curious(susan))))&
(((~cal... | ~calm(fred) | [] | null | 0 |
Everyone who is not strong is not rich.
Everyone who is patient or kind is humble or not tall.
Everyone who is either not humble or not wise is both calm and curious and vice versa.
Everyone who is both not tall and creative is creative or wise and vice versa.
Everyone who is calm or creative is not brave and vice vers... | Mary is patient. | contradiction | (![X]:(~strong(X)=>~rich(X)))&
(![X]:((patient(X)|kind(X))=>(humble(X)|~tall(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(calm(X)&curious(X))))&
(![X]:((~tall(X)&creative(X))<=>(creative(X)|wise(X))))&
(![X]:((calm(X)|creative(X))<=>~brave(X)))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:((~patient(X)<~>~generous(X))=>(~funny(X... | patient(mary) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8987857827008457306297597
% SZS output start Proof for 8987857827008457306297597
2. ! [X0] : ((kind(X0) | patient(X0)) => (~tall(X0) | humble(X0))) [input p1]
3. ! [X0] : ((~humble(X0) <~> ~wise(X0)) <=> (curious(X0) & calm(X0))) [input p2]
4. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (wis... | 0 |
If someone is either not funny or not quiet then susan is not humble. Everyone who is not old or not tall is brave. If someone is not kind then someone is either not old or kind and vice versa. If mary is not rich then someone is either happy or not patient and vice versa. Everyone who is either not strong or creative ... | Susan is quiet. | neutral | ((?[X]:((~funny(X)<~>~quiet(X))))=>(~humble(susan)))&
(![X]:((~old(X)|~tall(X))=>brave(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((~old(X)<~>kind(X)))))&
((~rich(mary))<=>(?[X]:((happy(X)<~>~patient(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>(funny(X)|~curious(X))))&
((strong(susan))<=>(generous(alice)))&
(![X]:((~humble(X)|~f... | quiet(susan) | [] | null | 0 |
Everyone who is not generous or not patient is brave. If someone is quiet then someone is both not strong and strong. Everyone who is not quiet or tall is either strong or rich. If john is funny then alice is rich. Everyone who is either not funny or not old is not tall or tall. Everyone who is both not strong and not ... | Susan is patient. | entailment | (![X]:((~generous(X)|~patient(X))=>brave(X)))&
((?[X]:(quiet(X)))=>(?[X]:((~strong(X)&strong(X)))))&
(![X]:((~quiet(X)|tall(X))=>(strong(X)<~>rich(X))))&
((funny(john))=>(rich(alice)))&
(![X]:((~funny(X)<~>~old(X))=>(~tall(X)|tall(X))))&
(![X]:((~strong(X)&~calm(X))=>~quiet(X)))&
(((~quiet(susan)&creative(susan)))=>(?[... | patient(susan) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2062493147043543312393592
% SZS output start Proof for 2062493147043543312393592
1. ! [X0] : ((~patient(X0) | ~generous(X0)) => brave(X0)) [input p0]
13. ! [X0] : ((creative(X0) & rich(X0)) <=> ~rich(X0)) [input p12]
15. ? [X0] : (brave(X0) | ~old(X0)) => (creative(mary) & happy(mary)) [i... | 0 |
If alice is not generous then someone is both kind and not calm and vice versa.
If someone is wise then someone is not brave or not rich.
If someone is both not happy and not kind then lucy is strong and vice versa.
Everyone who is not humble or humble is funny and vice versa.
If fred is funny or happy then someone is ... | Mary is not tall. | entailment | ((~generous(alice))<=>(?[X]:((kind(X)&~calm(X)))))&
((?[X]:(wise(X)))=>(?[X]:((~brave(X)|~rich(X)))))&
((?[X]:((~happy(X)&~kind(X))))<=>(strong(lucy)))&
(![X]:((~humble(X)|humble(X))<=>funny(X)))&
(((funny(fred)|happy(fred)))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(![X]:((brave(X)&tall(X))<=>(strong(X)&~kind(X))))&
((~... | ~tall(mary) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4203642932842158221880395
% SZS output start Proof for 4203642932842158221880395
4. ! [X0] : ((humble(X0) | ~humble(X0)) <=> funny(X0)) [input p3]
10. ! [X0] : (funny(X0) <=> brave(X0)) [input p9]
13. (brave(susan) | rich(susan)) => ~tall(mary) [input p12]
24. tall(mary) [input hypothesis... | 0 |
Everyone who is both not patient and patient is rich or not creative and vice versa.
Everyone who is humble or wise is both not patient and wise.
Everyone who is both not strong and creative is either not curious or not rich.
Everyone who is not kind is either funny or old.
If someone is either not tall or not brave th... | John is quiet. | neutral | (![X]:((~patient(X)&patient(X))<=>(rich(X)|~creative(X))))&
(![X]:((humble(X)|wise(X))=>(~patient(X)&wise(X))))&
(![X]:((~strong(X)&creative(X))=>(~curious(X)<~>~rich(X))))&
(![X]:(~kind(X)=>(funny(X)<~>old(X))))&
((?[X]:((~tall(X)<~>~brave(X))))<=>(?[X]:((tall(X)<~>generous(X)))))&
(![X]:((~curious(X)<~>~rich(X))=>(ge... | quiet(john) | [] | null | 0 |
If john is both not rich and not wise then john is both generous and not happy and vice versa.
Everyone who is not calm or tall is not funny.
If lucy is not curious or not rich then fred is both rich and not wise and vice versa.
If someone is either not old or generous then paul is not funny or wise and vice versa.
If ... | Lucy is brave. | neutral | (((~rich(john)&~wise(john)))<=>((generous(john)&~happy(john))))&
(![X]:((~calm(X)|tall(X))=>~funny(X)))&
(((~curious(lucy)|~rich(lucy)))<=>((rich(fred)&~wise(fred))))&
((?[X]:((~old(X)<~>generous(X))))<=>((~funny(paul)|wise(paul))))&
(((humble(paul)<~>~funny(paul)))<=>(?[X]:((~tall(X)&~creative(X)))))&
(![X]:(quiet(X)<... | brave(lucy) | [] | null | 0 |
If someone is kind then john is either not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is... | Paul is brave. | contradiction | ((?[X]:(kind(X)))<=>((~quiet(john)<~>humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(... | brave(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7382286796688130111680717
% SZS output start Proof for 7382286796688130111680717
16. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p15]
23. brave(paul) [input hypothesis]
59. ! [X0] : (((~patient(X0) & ~brave(X0)) | (~humble(X0) & ~brave(X0))) & ((humble(X0) |... | 0 |
Everyone who is both not tall and happy is both not wise and funny and vice versa.
Everyone who is tall is generous or not rich and vice versa.
Everyone who is calm or not generous is either not patient or not funny.
Everyone who is both happy and not kind is not creative or quiet.
Everyone who is either funny or not h... | Mary is not generous. | contradiction | (![X]:((~tall(X)&happy(X))<=>(~wise(X)&funny(X))))&
(![X]:(tall(X)<=>(generous(X)|~rich(X))))&
(![X]:((calm(X)|~generous(X))=>(~patient(X)<~>~funny(X))))&
(![X]:((happy(X)&~kind(X))=>(~creative(X)|quiet(X))))&
(![X]:((funny(X)<~>~humble(X))=>(creative(X)|brave(X))))&
(![X]:((tall(X)|brave(X))=>(~calm(X)<~>quiet(X))))&
... | ~generous(mary) | [
"p0",
"p1",
"p5",
"p7",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 848518566989650110269184
% SZS output start Proof for 848518566989650110269184
1. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (funny(X0) & ~wise(X0))) [input p0]
2. ! [X0] : (tall(X0) <=> (~rich(X0) | generous(X0))) [input p1]
6. ! [X0] : ((brave(X0) | tall(X0)) => (~calm(X0) <~> quiet(X0))) [i... | 0 |
Everyone who is either not generous or quiet is not creative or not humble and vice versa.
If someone is either kind or not calm then susan is both not strong and not humble.
Everyone who is old is both not quiet and not tall and vice versa.
If someone is not wise then someone is both not tall and not strong.
Everyone ... | Fred is not old. | entailment | (![X]:((~generous(X)<~>quiet(X))<=>(~creative(X)|~humble(X))))&
((?[X]:((kind(X)<~>~calm(X))))=>((~strong(susan)&~humble(susan))))&
(![X]:(old(X)<=>(~quiet(X)&~tall(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~calm(X)|kind(X))=>(wise(X)<~>strong(X))))&
((?[X]:((~calm(X)|~rich(X))))=>(quiet(fred)... | ~old(fred) | [
"p2",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 325423637591485124829982
% SZS output start Proof for 325423637591485124829982
3. ! [X0] : (old(X0) <=> (~tall(X0) & ~quiet(X0))) [input p2]
6. ? [X0] : (~rich(X0) | ~calm(X0)) => quiet(fred) [input p5]
8. ? [X0] : (~brave(X0) & brave(X0)) <=> (curious(paul) | calm(paul)) [input p7]
25. o... | 0 |
Everyone who is either quiet or kind is not quiet and vice versa.
Everyone who is kind or not generous is either funny or patient and vice versa.
Everyone who is not humble or not curious is not generous or brave and vice versa.
If lucy is brave then alice is both not curious and funny and vice versa.
Everyone who is n... | Paul is tall. | entailment | (![X]:((quiet(X)<~>kind(X))<=>~quiet(X)))&
(![X]:((kind(X)|~generous(X))<=>(funny(X)<~>patient(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~generous(X)|brave(X))))&
((brave(lucy))<=>((~curious(alice)&funny(alice))))&
(![X]:(~funny(X)<=>(~calm(X)&tall(X))))&
(![X]:(~rich(X)=>(~quiet(X)<~>~wise(X))))&
(![X]:((happy(X)&~kin... | tall(paul) | [
"p0",
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 92165301045796233223458
% SZS output start Proof for 92165301045796233223458
1. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> ~quiet(X0)) [input p0]
2. ! [X0] : ((~generous(X0) | kind(X0)) <=> (funny(X0) <~> patient(X0))) [input p1]
5. ! [X0] : (~funny(X0) <=> (tall(X0) & ~calm(X0))) [input p4]
... | 0 |
If someone is not brave then fred is rich.
If john is old or wise then someone is both not funny and not tall and vice versa.
Everyone who is either not patient or not funny is not patient and vice versa.
If someone is curious or not creative then susan is either generous or humble.
Everyone who is either creative or c... | Paul is not wise. | entailment | ((?[X]:(~brave(X)))=>(rich(fred)))&
(((old(john)|wise(john)))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:((~patient(X)<~>~funny(X))<=>~patient(X)))&
((?[X]:((curious(X)|~creative(X))))=>((generous(susan)<~>humble(susan))))&
(![X]:((creative(X)<~>calm(X))<=>(~old(X)&~creative(X))))&
(![X]:(humble(X)<=>(calm(X)<~>~humble(X)... | ~wise(paul) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2844433016202579910978537
% SZS output start Proof for 2844433016202579910978537
3. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> ~patient(X0)) [input p2]
13. ! [X0] : ((funny(X0) | happy(X0)) => (~wise(X0) & humble(X0))) [input p12]
23. wise(paul) [input hypothesis]
29. ! [X0] : ((~wise(X0... | 0 |
If john is rich then john is either not calm or generous. If fred is either not generous or brave then paul is humble or rich and vice versa. Everyone who is not creative or humble is strong and vice versa. If lucy is both wise and not rich then alice is either not funny or humble. If lucy is both strong and not creati... | Susan is not tall. | contradiction | ((rich(john))=>((~calm(john)<~>generous(john))))&
(((~generous(fred)<~>brave(fred)))<=>((humble(paul)|rich(paul))))&
(![X]:((~creative(X)|humble(X))<=>strong(X)))&
(((wise(lucy)&~rich(lucy)))=>((~funny(alice)<~>humble(alice))))&
(((strong(lucy)&~creative(lucy)))<=>((patient(susan)<~>~wise(susan))))&
(((~generous(alice)... | ~tall(susan) | [
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7526909247668194280236509
% SZS output start Proof for 7526909247668194280236509
7. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (funny(X0) & strong(X0))) [input p6]
12. ! [X0] : (happy(X0) <=> generous(X0)) [input p11]
15. ! [X0] : ((happy(X0) <~> strong(X0)) => ~patient(X0)) [input p14]
17. ~ge... | 0 |
Everyone who is rich or humble is both not happy and wise.
Everyone who is happy or not rich is either not patient or not curious and vice versa.
Everyone who is both patient and quiet is both brave and old.
If someone is not humble then john is either not brave or not patient and vice versa.
Everyone who is not humble... | Lucy is not old. | contradiction | (![X]:((rich(X)|humble(X))=>(~happy(X)&wise(X))))&
(![X]:((happy(X)|~rich(X))<=>(~patient(X)<~>~curious(X))))&
(![X]:((patient(X)&quiet(X))=>(brave(X)&old(X))))&
((?[X]:(~humble(X)))<=>((~brave(john)<~>~patient(john))))&
(![X]:((~humble(X)|brave(X))<=>(~wise(X)&~strong(X))))&
(((strong(fred)&~patient(fred)))=>(?[X]:((~... | ~old(lucy) | [
"p0",
"p1",
"p4",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5742376747813573972680663
% SZS output start Proof for 5742376747813573972680663
1. ! [X0] : ((humble(X0) | rich(X0)) => (wise(X0) & ~happy(X0))) [input p0]
2. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~patient(X0) <~> ~curious(X0))) [input p1]
5. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (~st... | 0 |
If someone is both not old and old then susan is both brave and quiet and vice versa.
Everyone who is happy or not brave is brave or not old.
Everyone who is not patient is both not generous and patient.
Everyone who is either not strong or curious is humble and vice versa.
Everyone who is both not happy and old is bot... | Mary is not patient. | contradiction | ((?[X]:((~old(X)&old(X))))<=>((brave(susan)&quiet(susan))))&
(![X]:((happy(X)|~brave(X))=>(brave(X)|~old(X))))&
(![X]:(~patient(X)=>(~generous(X)&patient(X))))&
(![X]:((~strong(X)<~>curious(X))<=>humble(X)))&
(![X]:((~happy(X)&old(X))<=>(calm(X)&~generous(X))))&
(![X]:(funny(X)<=>(~strong(X)<~>happy(X))))&
(![X]:((wise... | ~patient(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3520393741858318792272180
% SZS output start Proof for 3520393741858318792272180
3. ! [X0] : (~patient(X0) => (patient(X0) & ~generous(X0))) [input p2]
25. ~patient(mary) [input hypothesis]
29. ! [X0] : ((patient(X0) & ~generous(X0)) | patient(X0)) [ennf transformation 3]
79. patient(X0) ... | 0 |
Everyone who is either not curious or old is either quiet or not old.
If paul is either tall or not calm then someone is humble or not quiet.
Everyone who is both generous and strong is both not humble and not happy.
Everyone who is not rich or strong is funny.
Everyone who is both not rich and brave is tall and vice v... | Alice is curious. | neutral | (![X]:((~curious(X)<~>old(X))=>(quiet(X)<~>~old(X))))&
(((tall(paul)<~>~calm(paul)))=>(?[X]:((humble(X)|~quiet(X)))))&
(![X]:((generous(X)&strong(X))=>(~humble(X)&~happy(X))))&
(![X]:((~rich(X)|strong(X))=>funny(X)))&
(![X]:((~rich(X)&brave(X))<=>tall(X)))&
(![X]:((~strong(X)|kind(X))=>(~old(X)<~>~generous(X))))&
(![X]... | curious(alice) | [] | null | 0 |
If john is not patient or creative then someone is either not wise or patient and vice versa.
If someone is either not curious or humble then lucy is either old or not happy.
Everyone who is not quiet or patient is either tall or not brave.
If someone is not humble or tall then someone is creative or not creative and v... | John is not funny. | contradiction | (((~patient(john)|creative(john)))<=>(?[X]:((~wise(X)<~>patient(X)))))&
((?[X]:((~curious(X)<~>humble(X))))=>((old(lucy)<~>~happy(lucy))))&
(![X]:((~quiet(X)|patient(X))=>(tall(X)<~>~brave(X))))&
((?[X]:((~humble(X)|tall(X))))<=>(?[X]:((creative(X)|~creative(X)))))&
(![X]:(~curious(X)=>(~wise(X)&patient(X))))&
(![X]:((... | ~funny(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7126487482269074631541455
% SZS output start Proof for 7126487482269074631541455
11. ! [X0] : ((~funny(X0) | ~patient(X0)) => (funny(X0) & ~creative(X0))) [input p10]
23. ~funny(john) [input hypothesis]
35. ! [X0] : ((funny(X0) & ~creative(X0)) | (funny(X0) & patient(X0))) [ennf transform... | 0 |
Everyone who is both rich and strong is both not curious and not funny and vice versa.
Everyone who is both not curious and not happy is kind or calm and vice versa.
If mary is patient or calm then john is either humble or not creative.
If lucy is either patient or not funny then someone is either rich or tall.
Everyon... | Alice is funny. | entailment | (![X]:((rich(X)&strong(X))<=>(~curious(X)&~funny(X))))&
(![X]:((~curious(X)&~happy(X))<=>(kind(X)|calm(X))))&
(((patient(mary)|calm(mary)))=>((humble(john)<~>~creative(john))))&
(((patient(lucy)<~>~funny(lucy)))=>(?[X]:((rich(X)<~>tall(X)))))&
(![X]:((~rich(X)|~happy(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~humble(X... | funny(alice) | [
"p0",
"p1",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7503662646229381823323325
% SZS output start Proof for 7503662646229381823323325
1. ! [X0] : ((strong(X0) & rich(X0)) <=> (~funny(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (calm(X0) | kind(X0))) [input p1]
8. ! [X0] : (~rich(X0) <=> (~happy(X0) | humble(... | 0 |
If someone is both tall and not funny then someone is not brave and vice versa. Everyone who is either not wise or not old is generous or not strong. Everyone who is not curious or not rich is either not strong or not patient and vice versa. Everyone who is funny is brave or not generous and vice versa. If someone is n... | Mary is wise. | neutral | ((?[X]:((tall(X)&~funny(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~wise(X)<~>~old(X))=>(generous(X)|~strong(X))))&
(![X]:((~curious(X)|~rich(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:(funny(X)<=>(brave(X)|~generous(X))))&
((?[X]:(~rich(X)))=>(~curious(lucy)))&
((happy(paul))<=>((calm(alice)|curious(alice))))&
((?[X]:((~curi... | wise(mary) | [] | null | 0 |
Everyone who is kind or not wise is either calm or happy and vice versa. Everyone who is wise is either not brave or tall. If someone is not calm then someone is not humble. Everyone who is not generous is both curious and brave and vice versa. Everyone who is either not patient or generous is not brave and vice versa.... | Paul is tall. | entailment | (![X]:((kind(X)|~wise(X))<=>(calm(X)<~>happy(X))))&
(![X]:(wise(X)=>(~brave(X)<~>tall(X))))&
((?[X]:(~calm(X)))=>(?[X]:(~humble(X))))&
(![X]:(~generous(X)<=>(curious(X)&brave(X))))&
(![X]:((~patient(X)<~>generous(X))<=>~brave(X)))&
(![X]:(creative(X)<=>(~funny(X)|humble(X))))&
((?[X]:((humble(X)&rich(X))))<=>(?[X]:(old... | tall(paul) | [
"p1",
"p3",
"p4",
"p9",
"p10",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2189767897941465947704253
% SZS output start Proof for 2189767897941465947704253
2. ! [X0] : (wise(X0) => (~brave(X0) <~> tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) <=> (brave(X0) & curious(X0))) [input p3]
5. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> ~brave(X0)) [input p4]
10. ... | 0 |
Everyone who is not wise is both rich and not brave and vice versa.
If someone is not calm then lucy is either not humble or not calm.
Everyone who is not patient is not generous.
Everyone who is not kind or tall is creative.
If someone is tall or creative then mary is kind or not wise and vice versa.
Everyone who is e... | Susan is not quiet. | neutral | (![X]:(~wise(X)<=>(rich(X)&~brave(X))))&
((?[X]:(~calm(X)))=>((~humble(lucy)<~>~calm(lucy))))&
(![X]:(~patient(X)=>~generous(X)))&
(![X]:((~kind(X)|tall(X))=>creative(X)))&
((?[X]:((tall(X)|creative(X))))<=>((kind(mary)|~wise(mary))))&
(![X]:((funny(X)<~>creative(X))=>~funny(X)))&
(![X]:((creative(X)|rich(X))=>(~genero... | ~quiet(susan) | [] | null | 0 |
Everyone who is not tall or happy is both curious and not funny.
If john is both creative and tall then lucy is not rich or rich and vice versa.
Everyone who is both strong and patient is either quiet or not quiet and vice versa.
If someone is either not rich or old then someone is both curious and not patient.
If mary... | Alice is generous. | contradiction | (![X]:((~tall(X)|happy(X))=>(curious(X)&~funny(X))))&
(((creative(john)&tall(john)))<=>((~rich(lucy)|rich(lucy))))&
(![X]:((strong(X)&patient(X))<=>(quiet(X)<~>~quiet(X))))&
((?[X]:((~rich(X)<~>old(X))))=>(?[X]:((curious(X)&~patient(X)))))&
((calm(mary))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(((humble(lucy)<~>~happy(lucy))... | generous(alice) | [
"p0",
"p2",
"p6",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7583926693909119708220916
% SZS output start Proof for 7583926693909119708220916
1. ! [X0] : ((happy(X0) | ~tall(X0)) => (~funny(X0) & curious(X0))) [input p0]
3. ! [X0] : ((patient(X0) & strong(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p2]
7. ! [X0] : ((~generous(X0) <~> ~tall(X0)) <=>... | 0 |
If susan is not happy then alice is not strong or quiet. If fred is not wise or calm then lucy is happy or wise and vice versa. Everyone who is rich or humble is both curious and tall and vice versa. Everyone who is both kind and patient is both not happy and funny and vice versa. Everyone who is not brave or old is bo... | Alice is humble. | neutral | ((~happy(susan))=>((~strong(alice)|quiet(alice))))&
(((~wise(fred)|calm(fred)))<=>((happy(lucy)|wise(lucy))))&
(![X]:((rich(X)|humble(X))<=>(curious(X)&tall(X))))&
(![X]:((kind(X)&patient(X))<=>(~happy(X)&funny(X))))&
(![X]:((~brave(X)|old(X))<=>(brave(X)&~strong(X))))&
(((~creative(john)&~tall(john)))=>(?[X]:((strong(... | humble(alice) | [] | null | 0 |
If someone is either not old or not curious then john is both happy and not curious and vice versa. If someone is not curious or rich then someone is rich or wise. Everyone who is rich or creative is both happy and not strong and vice versa. If fred is both funny and not tall then someone is either brave or kind and vi... | Lucy is happy. | entailment | ((?[X]:((~old(X)<~>~curious(X))))<=>((happy(john)&~curious(john))))&
((?[X]:((~curious(X)|rich(X))))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((rich(X)|creative(X))<=>(happy(X)&~strong(X))))&
(((funny(fred)&~tall(fred)))<=>(?[X]:((brave(X)<~>kind(X)))))&
(![X]:((calm(X)&~happy(X))<=>~happy(X)))&
(((~old(susan)<~>old(susan))... | happy(lucy) | [
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 533820477458289039206878
% SZS output start Proof for 533820477458289039206878
3. ! [X0] : ((creative(X0) | rich(X0)) <=> (~strong(X0) & happy(X0))) [input p2]
18. rich(lucy) & ~quiet(lucy) [input p17]
21. ~happy(lucy) [input hypothesis]
38. ! [X0] : (((creative(X0) | rich(X0)) | (strong(... | 0 |
If lucy is funny or brave then someone is rich or brave and vice versa. Everyone who is both kind and wise is both kind and not old. Everyone who is creative is curious and vice versa. If mary is humble or not curious then someone is not calm. Everyone who is strong or not quiet is both not creative and happy. Everyone... | Alice is not funny. | entailment | (((funny(lucy)|brave(lucy)))<=>(?[X]:((rich(X)|brave(X)))))&
(![X]:((kind(X)&wise(X))=>(kind(X)&~old(X))))&
(![X]:(creative(X)<=>curious(X)))&
(((humble(mary)|~curious(mary)))=>(?[X]:(~calm(X))))&
(![X]:((strong(X)|~quiet(X))=>(~creative(X)&happy(X))))&
(![X]:(wise(X)=>(~strong(X)<~>~old(X))))&
(![X]:(happy(X)=>(~curio... | ~funny(alice) | [
"p4",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9183233715973779532944052
% SZS output start Proof for 9183233715973779532944052
5. ! [X0] : ((~quiet(X0) | strong(X0)) => (happy(X0) & ~creative(X0))) [input p4]
8. ! [X0] : (~funny(X0) <=> (~strong(X0) <~> ~kind(X0))) [input p7]
13. ! [X0] : (~kind(X0) <=> (strong(X0) & humble(X0))) [in... | 0 |
If paul is either calm or strong then someone is both not kind and not wise and vice versa. Everyone who is both curious and not humble is not tall. If someone is either not funny or old then someone is either not patient or wise and vice versa. Everyone who is both humble and not humble is not curious or creative and ... | Lucy is tall. | contradiction | (((calm(paul)<~>strong(paul)))<=>(?[X]:((~kind(X)&~wise(X)))))&
(![X]:((curious(X)&~humble(X))=>~tall(X)))&
((?[X]:((~funny(X)<~>old(X))))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((humble(X)&~humble(X))<=>(~curious(X)|creative(X))))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~old(X)<~>humble... | tall(lucy) | [
"p1",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1964805499604633532919977
% SZS output start Proof for 1964805499604633532919977
2. ! [X0] : ((~humble(X0) & curious(X0)) => ~tall(X0)) [input p1]
4. ! [X0] : ((~humble(X0) & humble(X0)) <=> (creative(X0) | ~curious(X0))) [input p3]
19. ~humble(lucy) [input p18]
24. tall(lucy) [input hypo... | 0 |
Everyone who is old or not funny is strong or patient. If someone is either brave or not rich then mary is not humble or strong. If mary is not curious or calm then paul is not wise and vice versa. If someone is both creative and wise then mary is either wise or curious and vice versa. Everyone who is not happy or not ... | Susan is not calm. | entailment | (![X]:((old(X)|~funny(X))=>(strong(X)|patient(X))))&
((?[X]:((brave(X)<~>~rich(X))))=>((~humble(mary)|strong(mary))))&
(((~curious(mary)|calm(mary)))<=>(~wise(paul)))&
((?[X]:((creative(X)&wise(X))))<=>((wise(mary)<~>curious(mary))))&
(![X]:((~happy(X)|~rich(X))<=>kind(X)))&
(((happy(fred)&~patient(fred)))=>(?[X]:(wise... | ~calm(susan) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 563841191096910562383291
% SZS output start Proof for 563841191096910562383291
7. ! [X0] : (generous(X0) <=> (~happy(X0) | ~generous(X0))) [input p6]
9. ! [X0] : ((~curious(X0) | generous(X0)) <=> (~calm(X0) & ~curious(X0))) [input p8]
22. calm(susan) [input hypothesis]
48. ! [X0] : ((gen... | 0 |
Everyone who is both kind and creative is not humble. Everyone who is both quiet and humble is either rich or tall. Everyone who is either not patient or brave is both not calm and patient. If fred is not happy or not curious then someone is both not kind and not calm and vice versa. If lucy is either not strong or str... | Mary is patient. | neutral | (![X]:((kind(X)&creative(X))=>~humble(X)))&
(![X]:((quiet(X)&humble(X))=>(rich(X)<~>tall(X))))&
(![X]:((~patient(X)<~>brave(X))=>(~calm(X)&patient(X))))&
(((~happy(fred)|~curious(fred)))<=>(?[X]:((~kind(X)&~calm(X)))))&
(((~strong(lucy)<~>strong(lucy)))=>(?[X]:((humble(X)&quiet(X)))))&
(((~humble(lucy)<~>creative(lucy)... | patient(mary) | [] | null | 0 |
Everyone who is both curious and wise is happy.
If john is either quiet or not rich then mary is not wise or creative and vice versa.
Everyone who is brave or old is both not happy and not old.
If john is either wise or not calm then susan is calm.
Everyone who is funny is either rich or not tall.
Everyone who is humbl... | Paul is happy. | contradiction | (![X]:((curious(X)&wise(X))=>happy(X)))&
(((quiet(john)<~>~rich(john)))<=>((~wise(mary)|creative(mary))))&
(![X]:((brave(X)|old(X))=>(~happy(X)&~old(X))))&
(((wise(john)<~>~calm(john)))=>(calm(susan)))&
(![X]:(funny(X)=>(rich(X)<~>~tall(X))))&
(![X]:((humble(X)|calm(X))<=>(rich(X)|~wise(X))))&
((?[X]:(humble(X)))<=>(~q... | happy(paul) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4024612029352578876224710
% SZS output start Proof for 4024612029352578876224710
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (rich(X0) & ~funny(X0))) [input p9]
13. ! [X0] : ((patient(X0) | rich(X0)) => ~happy(X0)) [input p12]
23. happy(paul) [input hypothesis]
30. ! [X0] : ((rich(X0) & ... | 0 |
Everyone who is not wise is kind.
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creativ... | Fred is old. | neutral | (![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]... | old(fred) | [] | null | 0 |
Everyone who is generous is either not generous or humble and vice versa.
Everyone who is tall or humble is either not calm or generous and vice versa.
Everyone who is strong is quiet.
If someone is not generous or not funny then paul is either not strong or not creative.
If mary is rich or not wise then susan is eithe... | Alice is happy. | neutral | (![X]:(generous(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((tall(X)|humble(X))<=>(~calm(X)<~>generous(X))))&
(![X]:(strong(X)=>quiet(X)))&
((?[X]:((~generous(X)|~funny(X))))=>((~strong(paul)<~>~creative(paul))))&
(((rich(mary)|~wise(mary)))<=>((~rich(susan)<~>~funny(susan))))&
(![X]:((curious(X)&~old(X))<=>~quiet(X)))&
... | happy(alice) | [] | null | 0 |
Everyone who is either not creative or not old is both patient and creative and vice versa.
Everyone who is not quiet or humble is both not strong and rich.
Everyone who is not happy or creative is both not creative and not brave.
Everyone who is both quiet and not tall is both not funny and not creative and vice versa... | Lucy is not humble. | neutral | (![X]:((~creative(X)<~>~old(X))<=>(patient(X)&creative(X))))&
(![X]:((~quiet(X)|humble(X))=>(~strong(X)&rich(X))))&
(![X]:((~happy(X)|creative(X))=>(~creative(X)&~brave(X))))&
(![X]:((quiet(X)&~tall(X))<=>(~funny(X)&~creative(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~patient(X)&strong(X)))))&
(![X]:((calm(X)|~calm(X))<=>(~... | ~humble(lucy) | [] | null | 0 |
If lucy is either not tall or humble then paul is funny or not quiet and vice versa.
Everyone who is either not generous or not wise is either curious or brave and vice versa.
Everyone who is not quiet or not kind is both not brave and not creative.
Everyone who is both funny and old is humble.
If someone is both patie... | Lucy is not generous. | neutral | (((~tall(lucy)<~>humble(lucy)))<=>((funny(paul)|~quiet(paul))))&
(![X]:((~generous(X)<~>~wise(X))<=>(curious(X)<~>brave(X))))&
(![X]:((~quiet(X)|~kind(X))=>(~brave(X)&~creative(X))))&
(![X]:((funny(X)&old(X))=>humble(X)))&
((?[X]:((patient(X)&~quiet(X))))<=>(?[X]:((humble(X)<~>~generous(X)))))&
(![X]:((~happy(X)&tall(X... | ~generous(lucy) | [] | null | 0 |
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creative and vice versa.
Everyone who is either not old or not brave i... | Paul is not tall. | contradiction | ((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall(X))))&
(![X]:((~humble(X)<~>happy(X))<=>(~brave(X)&~wis... | ~tall(paul) | [
"p2",
"p3",
"p5",
"p8",
"p9",
"p10",
"p11",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4623669438327674989840171
% SZS output start Proof for 4623669438327674989840171
3. ! [X0] : ((~patient(X0) | ~wise(X0)) => (old(X0) <~> humble(X0))) [input p2]
4. ! [X0] : (~kind(X0) <=> (humble(X0) <~> ~creative(X0))) [input p3]
6. ! [X0] : ((~humble(X0) <~> happy(X0)) <=> (~wise(X0) & ... | 0 |
If john is not creative or not tall then lucy is either happy or kind.
Everyone who is both patient and not wise is not brave or calm and vice versa.
If paul is either rich or not rich then someone is not happy or wise.
Everyone who is both funny and not creative is not generous or happy and vice versa.
Everyone who is... | Alice is not tall. | neutral | (((~creative(john)|~tall(john)))=>((happy(lucy)<~>kind(lucy))))&
(![X]:((patient(X)&~wise(X))<=>(~brave(X)|calm(X))))&
(((rich(paul)<~>~rich(paul)))=>(?[X]:((~happy(X)|wise(X)))))&
(![X]:((funny(X)&~creative(X))<=>(~generous(X)|happy(X))))&
(![X]:((calm(X)|humble(X))=>(patient(X)&strong(X))))&
(![X]:(~brave(X)<=>(~calm... | ~tall(alice) | [] | null | 0 |
Everyone who is kind or old is not brave or not strong and vice versa.
If john is either funny or not patient then mary is both not quiet and not tall.
If someone is either not wise or old then someone is not tall and vice versa.
Everyone who is not tall is both not brave and not patient.
Everyone who is not humble is ... | John is not kind. | neutral | (![X]:((kind(X)|old(X))<=>(~brave(X)|~strong(X))))&
(((funny(john)<~>~patient(john)))=>((~quiet(mary)&~tall(mary))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~tall(X)=>(~brave(X)&~patient(X))))&
(![X]:(~humble(X)=>(~quiet(X)<~>brave(X))))&
(![X]:(quiet(X)<=>(funny(X)&~kind(X))))&
((?[X]:(~strong(X)))... | ~kind(john) | [] | null | 0 |
If someone is either not kind or tall then lucy is either wise or brave and vice versa. If someone is not brave then paul is either generous or not patient. Everyone who is both not tall and funny is both not creative and tall and vice versa. If fred is patient then paul is both generous and not calm and vice versa. If... | Lucy is not wise. | entailment | ((?[X]:((~kind(X)<~>tall(X))))<=>((wise(lucy)<~>brave(lucy))))&
((?[X]:(~brave(X)))=>((generous(paul)<~>~patient(paul))))&
(![X]:((~tall(X)&funny(X))<=>(~creative(X)&tall(X))))&
((patient(fred))<=>((generous(paul)&~calm(paul))))&
((?[X]:((calm(X)|~strong(X))))<=>((~generous(john)<~>~brave(john))))&
(![X]:((strong(X)<~>... | ~wise(lucy) | [
"p6",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8619117819656501437292470
% SZS output start Proof for 8619117819656501437292470
7. ! [X0] : ((humble(X0) & generous(X0)) <=> (tall(X0) | ~curious(X0))) [input p6]
10. ? [X0] : (kind(X0) | humble(X0)) => (~wise(lucy) & ~humble(lucy)) [input p9]
17. ~curious(mary) & rich(mary) [input p16]
... | 0 |
If alice is either not kind or not strong then someone is generous. Everyone who is not generous or not creative is both not funny and not curious. If someone is both not creative and kind then paul is not happy or not funny. Everyone who is not wise or brave is calm and vice versa. If someone is not generous then susa... | Lucy is not calm. | contradiction | (((~kind(alice)<~>~strong(alice)))=>(?[X]:(generous(X))))&
(![X]:((~generous(X)|~creative(X))=>(~funny(X)&~curious(X))))&
((?[X]:((~creative(X)&kind(X))))=>((~happy(paul)|~funny(paul))))&
(![X]:((~wise(X)|brave(X))<=>calm(X)))&
((?[X]:(~generous(X)))=>((kind(susan)&patient(susan))))&
((?[X]:((happy(X)|generous(X))))=>(... | ~calm(lucy) | [
"p3",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2399316986061189031563809
% SZS output start Proof for 2399316986061189031563809
4. ! [X0] : ((brave(X0) | ~wise(X0)) <=> calm(X0)) [input p3]
9. ! [X0] : ((humble(X0) & ~calm(X0)) => (~wise(X0) <~> calm(X0))) [input p8]
22. humble(lucy) [input p21]
25. ~calm(lucy) [input hypothesis]
36. ... | 0 |
If someone is either not humble or generous then john is not creative and vice versa.
Everyone who is old or not tall is not generous.
Everyone who is kind is patient or not happy and vice versa.
Everyone who is either patient or not kind is both not creative and brave.
Everyone who is either brave or not humble is bot... | Lucy is not brave. | contradiction | ((?[X]:((~humble(X)<~>generous(X))))<=>(~creative(john)))&
(![X]:((old(X)|~tall(X))=>~generous(X)))&
(![X]:(kind(X)<=>(patient(X)|~happy(X))))&
(![X]:((patient(X)<~>~kind(X))=>(~creative(X)&brave(X))))&
(![X]:((brave(X)<~>~humble(X))<=>(~quiet(X)&~brave(X))))&
(![X]:(calm(X)<=>(funny(X)<~>~funny(X))))&
((tall(lucy))<=>... | ~brave(lucy) | [
"p1",
"p2",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 521380715350201999270447
% SZS output start Proof for 521380715350201999270447
2. ! [X0] : ((~tall(X0) | old(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : (kind(X0) <=> (~happy(X0) | patient(X0))) [input p2]
4. ! [X0] : ((patient(X0) <~> ~kind(X0)) => (brave(X0) & ~creative(X0))) [input p... | 0 |
If someone is patient then someone is both strong and not strong and vice versa. If someone is calm or old then paul is not generous and vice versa. Everyone who is generous or creative is both curious and not kind. Everyone who is old is both not calm and not humble. Everyone who is tall or brave is happy or old. Ever... | Lucy is not patient. | entailment | ((?[X]:(patient(X)))<=>(?[X]:((strong(X)&~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(~generous(paul)))&
(![X]:((generous(X)|creative(X))=>(curious(X)&~kind(X))))&
(![X]:(old(X)=>(~calm(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>(happy(X)|old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>~patient(X)))&
(![X]:((brave(X)<... | ~patient(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 312969292157157456238611
% SZS output start Proof for 312969292157157456238611
1. ? [X0] : patient(X0) <=> ? [X0] : (~strong(X0) & strong(X0)) [input p0]
24. patient(lucy) [input hypothesis]
25. ? [X0] : patient(X0) <=> ? [X1] : (~strong(X1) & strong(X1)) [rectify 1]
36. (? [X0] : patient... | 0 |
Everyone who is either happy or not old is not quiet and vice versa.
If susan is not quiet then mary is either creative or not strong and vice versa.
Everyone who is not old is patient.
If alice is either old or not patient then someone is not strong and vice versa.
If someone is either not patient or not rich then som... | Alice is old. | entailment | (![X]:((happy(X)<~>~old(X))<=>~quiet(X)))&
((~quiet(susan))<=>((creative(mary)<~>~strong(mary))))&
(![X]:(~old(X)=>patient(X)))&
(((old(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
((?[X]:((~patient(X)<~>~rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)<~>~funny(X))=>(~creative(X)&humble(X))))&
(![X]:((tall(X)<... | old(alice) | [
"p2",
"p3",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 792187614063198738876792
% SZS output start Proof for 792187614063198738876792
3. ! [X0] : (~old(X0) => patient(X0)) [input p2]
4. (old(alice) <~> ~patient(alice)) <=> ? [X0] : ~strong(X0) [input p3]
9. ! [X0] : ((patient(X0) | kind(X0)) => (~humble(X0) & happy(X0))) [input p8]
11. ! [X0]... | 0 |
Everyone who is either old or curious is calm or creative.
Everyone who is both not tall and old is either funny or not calm and vice versa.
Everyone who is either not quiet or not calm is patient and vice versa.
Everyone who is both generous and not curious is not curious or patient and vice versa.
Everyone who is not... | Paul is not kind. | contradiction | (![X]:((old(X)<~>curious(X))=>(calm(X)|creative(X))))&
(![X]:((~tall(X)&old(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>patient(X)))&
(![X]:((generous(X)&~curious(X))<=>(~curious(X)|patient(X))))&
(![X]:((~tall(X)|creative(X))<=>(~funny(X)<~>kind(X))))&
((?[X]:(~rich(X)))<=>((creative(paul)&quiet(pau... | ~kind(paul) | [
"p1",
"p4",
"p5",
"p8",
"p10",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3499779383985649039144107
% SZS output start Proof for 3499779383985649039144107
2. ! [X0] : ((old(X0) & ~tall(X0)) <=> (funny(X0) <~> ~calm(X0))) [input p1]
5. ! [X0] : ((creative(X0) | ~tall(X0)) <=> (~funny(X0) <~> kind(X0))) [input p4]
6. ? [X0] : ~rich(X0) <=> (quiet(paul) & creative... | 0 |
If paul is patient then john is kind or not patient.
If alice is patient then susan is not funny or quiet and vice versa.
Everyone who is humble or not curious is either not generous or not wise and vice versa.
If someone is both wise and not brave then lucy is patient or rich.
Everyone who is not quiet is either calm ... | Mary is not quiet. | entailment | ((patient(paul))=>((kind(john)|~patient(john))))&
((patient(alice))<=>((~funny(susan)|quiet(susan))))&
(![X]:((humble(X)|~curious(X))<=>(~generous(X)<~>~wise(X))))&
((?[X]:((wise(X)&~brave(X))))=>((patient(lucy)|rich(lucy))))&
(![X]:(~quiet(X)=>(calm(X)<~>~calm(X))))&
((~rich(susan))=>((~calm(lucy)|~patient(lucy))))&
(... | ~quiet(mary) | [
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5079296833495927944898740
% SZS output start Proof for 5079296833495927944898740
13. ? [X0] : (~quiet(X0) <~> wise(X0)) <=> old(susan) [input p12]
14. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (wise(X0) & ~brave(X0))) [input p13]
20. patient(susan) & ~brave(susan) [input p19]
23. quiet(mary) [... | 0 |
If someone is both not strong and calm then paul is both not wise and not rich and vice versa.
Everyone who is both not wise and generous is brave or not funny and vice versa.
Everyone who is not tall is quiet or not happy and vice versa.
If paul is rich then mary is both wise and not kind.
Everyone who is not happy is... | Paul is not happy. | neutral | ((?[X]:((~strong(X)&calm(X))))<=>((~wise(paul)&~rich(paul))))&
(![X]:((~wise(X)&generous(X))<=>(brave(X)|~funny(X))))&
(![X]:(~tall(X)<=>(quiet(X)|~happy(X))))&
((rich(paul))=>((wise(mary)&~kind(mary))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:((~brav... | ~happy(paul) | [] | null | 0 |
Everyone who is happy or not rich is not wise.
If john is both creative and not strong then mary is both not kind and quiet.
Everyone who is rich or quiet is both creative and happy and vice versa.
Everyone who is both happy and not creative is both not kind and not wise and vice versa.
If someone is either humble or n... | Lucy is kind. | entailment | (![X]:((happy(X)|~rich(X))=>~wise(X)))&
(((creative(john)&~strong(john)))=>((~kind(mary)&quiet(mary))))&
(![X]:((rich(X)|quiet(X))<=>(creative(X)&happy(X))))&
(![X]:((happy(X)&~creative(X))<=>(~kind(X)&~wise(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)&patient(X))=>(~humble(X)|... | kind(lucy) | [
"p0",
"p2",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2039403496793492911842223
% SZS output start Proof for 2039403496793492911842223
1. ! [X0] : ((~rich(X0) | happy(X0)) => ~wise(X0)) [input p0]
3. ! [X0] : ((quiet(X0) | rich(X0)) <=> (happy(X0) & creative(X0))) [input p2]
4. ! [X0] : ((~creative(X0) & happy(X0)) <=> (~wise(X0) & ~kind(X0)... | 0 |
If someone is not kind then lucy is both not creative and not brave and vice versa.
Everyone who is both not humble and old is strong.
If someone is funny or not tall then someone is both not happy and not rich and vice versa.
If someone is both not calm and curious then john is both not rich and not curious.
If someon... | Fred is humble. | neutral | ((?[X]:(~kind(X)))<=>((~creative(lucy)&~brave(lucy))))&
(![X]:((~humble(X)&old(X))=>strong(X)))&
((?[X]:((funny(X)|~tall(X))))<=>(?[X]:((~happy(X)&~rich(X)))))&
((?[X]:((~calm(X)&curious(X))))=>((~rich(john)&~curious(john))))&
((?[X]:((kind(X)|curious(X))))<=>((~kind(lucy)<~>~generous(lucy))))&
(![X]:(~creative(X)<=>~t... | humble(fred) | [] | null | 0 |
Everyone who is patient or not tall is both kind and calm. If someone is not funny or not calm then susan is both curious and kind. Everyone who is both not humble and creative is happy. Everyone who is creative or not calm is old. If susan is curious or kind then someone is not old or happy and vice versa. If paul is ... | Susan is not patient. | neutral | (![X]:((patient(X)|~tall(X))=>(kind(X)&calm(X))))&
((?[X]:((~funny(X)|~calm(X))))=>((curious(susan)&kind(susan))))&
(![X]:((~humble(X)&creative(X))=>happy(X)))&
(![X]:((creative(X)|~calm(X))=>old(X)))&
(((curious(susan)|kind(susan)))<=>(?[X]:((~old(X)|happy(X)))))&
((brave(paul))<=>((happy(mary)<~>~quiet(mary))))&
((?[... | ~patient(susan) | [] | null | 0 |
Everyone who is not funny is not tall or happy.
Everyone who is not rich or not quiet is either wise or not curious.
If someone is both strong and old then alice is calm and vice versa.
Everyone who is either not patient or funny is both not old and humble and vice versa.
If alice is not kind or funny then susan is cre... | Alice is brave. | entailment | (![X]:(~funny(X)=>(~tall(X)|happy(X))))&
(![X]:((~rich(X)|~quiet(X))=>(wise(X)<~>~curious(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(alice)))&
(![X]:((~patient(X)<~>funny(X))<=>(~old(X)&humble(X))))&
(((~kind(alice)|funny(alice)))=>(creative(susan)))&
(![X]:((generous(X)&~wise(X))<=>(~tall(X)&brave(X))))&
(![X]:((~cre... | brave(alice) | [
"p3",
"p5",
"p10",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 558839706138412535824140
% SZS output start Proof for 558839706138412535824140
4. ! [X0] : ((~patient(X0) <~> funny(X0)) <=> (humble(X0) & ~old(X0))) [input p3]
6. ! [X0] : ((~wise(X0) & generous(X0)) <=> (brave(X0) & ~tall(X0))) [input p5]
11. ! [X0] : (generous(X0) <=> (funny(X0) & ~pat... | 0 |
Everyone who is humble or creative is not old and vice versa.
Everyone who is not creative is brave.
Everyone who is not humble or not creative is both not kind and humble and vice versa.
Everyone who is either not tall or happy is both happy and rich and vice versa.
Everyone who is both not happy and generous is eithe... | Mary is creative. | entailment | (![X]:((humble(X)|creative(X))<=>~old(X)))&
(![X]:(~creative(X)=>brave(X)))&
(![X]:((~humble(X)|~creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(happy(X)&rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(~strong(X)<~>~calm(X))))&
(((generous(mary)<~>~old(mary)))<=>((humble(mary)&~quiet(mary))))&
((~c... | creative(mary) | [
"p0",
"p2",
"p5",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 345679846944536967143795
% SZS output start Proof for 345679846944536967143795
1. ! [X0] : ((creative(X0) | humble(X0)) <=> ~old(X0)) [input p0]
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (humble(X0) & ~kind(X0))) [input p2]
6. (generous(mary) <~> ~old(mary)) <=> (~quiet(mary) & humbl... | 0 |
Everyone who is old is funny and vice versa.
Everyone who is either not humble or humble is either not patient or kind and vice versa.
Everyone who is tall or not tall is either not wise or curious and vice versa.
If paul is either generous or not rich then fred is patient and vice versa.
If alice is both not wise and ... | Alice is creative. | entailment | (![X]:(old(X)<=>funny(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(~patient(X)<~>kind(X))))&
(![X]:((tall(X)|~tall(X))<=>(~wise(X)<~>curious(X))))&
(((generous(paul)<~>~rich(paul)))<=>(patient(fred)))&
(((~wise(alice)&~patient(alice)))=>(?[X]:((~happy(X)|~curious(X)))))&
(![X]:((~generous(X)<~>~strong(X))<=>(strong(X)|~tal... | creative(alice) | [
"p0",
"p1",
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4267895302563587351326697
% SZS output start Proof for 4267895302563587351326697
1. ! [X0] : (old(X0) <=> funny(X0)) [input p0]
2. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~patient(X0) <~> kind(X0))) [input p1]
6. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (~tall(X0) | strong(X0))) ... | 0 |
Everyone who is either humble or calm is both not funny and not patient.
Everyone who is generous or curious is old.
Everyone who is not wise is both tall and creative and vice versa.
If someone is either not humble or tall then susan is both curious and not generous.
If john is not funny or not kind then someone is ei... | John is not rich. | neutral | (![X]:((humble(X)<~>calm(X))=>(~funny(X)&~patient(X))))&
(![X]:((generous(X)|curious(X))=>old(X)))&
(![X]:(~wise(X)<=>(tall(X)&creative(X))))&
((?[X]:((~humble(X)<~>tall(X))))=>((curious(susan)&~generous(susan))))&
(((~funny(john)|~kind(john)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((rich(X)|~creative(X))=>(~happy... | ~rich(john) | [] | null | 0 |
If alice is wise or quiet then mary is rich and vice versa.
Everyone who is either curious or funny is both not happy and not humble and vice versa.
If lucy is rich then someone is either patient or old and vice versa.
If susan is both not funny and not humble then john is both happy and not kind and vice versa.
Everyo... | Paul is not brave. | contradiction | (((wise(alice)|quiet(alice)))<=>(rich(mary)))&
(![X]:((curious(X)<~>funny(X))<=>(~happy(X)&~humble(X))))&
((rich(lucy))<=>(?[X]:((patient(X)<~>old(X)))))&
(((~funny(susan)&~humble(susan)))<=>((happy(john)&~kind(john))))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)<~>q... | ~brave(paul) | [
"p2",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3979672106170346043933352
% SZS output start Proof for 3979672106170346043933352
3. rich(lucy) <=> ? [X0] : (patient(X0) <~> old(X0)) [input p2]
8. ? [X0] : (generous(X0) | ~old(X0)) <=> (kind(paul) & brave(paul)) [input p7]
11. ! [X0] : (old(X0) <=> ~rich(X0)) [input p10]
19. ~patient(jo... | 0 |
If someone is not happy or not wise then someone is either not kind or not creative and vice versa.
Everyone who is either calm or generous is either humble or not generous.
If lucy is not quiet or not calm then paul is not kind.
Everyone who is both humble and not kind is either creative or kind.
Everyone who is eithe... | Susan is old. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>(?[X]:((~kind(X)<~>~creative(X)))))&
(![X]:((calm(X)<~>generous(X))=>(humble(X)<~>~generous(X))))&
(((~quiet(lucy)|~calm(lucy)))=>(~kind(paul)))&
(![X]:((humble(X)&~kind(X))=>(creative(X)<~>kind(X))))&
(![X]:((strong(X)<~>tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~wise(X)<=>(~happy(X... | old(susan) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5948496913280538391951747
% SZS output start Proof for 5948496913280538391951747
12. ! [X0] : ((~old(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p11]
17. ~tall(susan) [input p16]
25. ~old(susan) [input hypothesis]
33. ! [X0] : ((tall(X0) & wise(X0)) | (old(X0) & calm(X0))) [ennf tra... | 0 |
Everyone who is both strong and not quiet is either not old or patient and vice versa. If susan is quiet then alice is both not quiet and not strong and vice versa. Everyone who is not creative or not quiet is kind or not quiet and vice versa. If fred is happy then someone is happy and vice versa. Everyone who is both ... | Alice is not rich. | neutral | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>patient(X))))&
((quiet(susan))<=>((~quiet(alice)&~strong(alice))))&
(![X]:((~creative(X)|~quiet(X))<=>(kind(X)|~quiet(X))))&
((happy(fred))<=>(?[X]:(happy(X))))&
(![X]:((~patient(X)&creative(X))=>(calm(X)&~old(X))))&
((humble(mary))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~ol... | ~rich(alice) | [] | null | 0 |
If someone is both rich and not kind then someone is either not patient or calm and vice versa.
Everyone who is not happy is both not creative and not curious.
If someone is both not rich and not strong then someone is either not creative or not calm.
If someone is both not quiet and generous then someone is not genero... | Alice is not old. | contradiction | ((?[X]:((rich(X)&~kind(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:(~happy(X)=>(~creative(X)&~curious(X))))&
((?[X]:((~rich(X)&~strong(X))))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((?[X]:((~quiet(X)&generous(X))))=>(?[X]:(~generous(X))))&
(![X]:(kind(X)=>strong(X)))&
((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((~funny... | ~old(alice) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8587977611460508578802432
% SZS output start Proof for 8587977611460508578802432
13. ! [X0] : (~old(X0) => ~brave(X0)) [input p12]
14. ! [X0] : ((~brave(X0) | humble(X0)) => (happy(X0) & ~happy(X0))) [input p13]
22. ~old(alice) [input hypothesis]
38. ! [X0] : (~brave(X0) | old(X0)) [ennf ... | 0 |
Everyone who is kind is not creative or not curious. If someone is kind then someone is either wise or not quiet and vice versa. If someone is both not calm and old then someone is not creative or not old. Everyone who is both quiet and not calm is either calm or not strong. If lucy is not happy then susan is not wise ... | Mary is happy. | entailment | (![X]:(kind(X)=>(~creative(X)|~curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((quiet(X)&~calm(X))=>(calm(X)<~>~strong(X))))&
((~happy(lucy))=>((~wise(susan)|strong(susan))))&
(![X]:((~funny(X)|creative(X))<=>kind(X)))&
(![X]:((ta... | happy(mary) | [
"p0",
"p3",
"p5",
"p9",
"p13",
"p14",
"p18",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 245779429597675115041562
% SZS output start Proof for 245779429597675115041562
1. ! [X0] : (kind(X0) => (~curious(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (calm(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> kind(X0)) [input p... | 0 |
Everyone who is both not quiet and generous is not calm. Everyone who is not strong is kind or old and vice versa. Everyone who is kind or old is quiet and vice versa. Everyone who is both not humble and funny is either not generous or creative and vice versa. Everyone who is funny or generous is not quiet. If someone ... | Fred is not funny. | contradiction | (![X]:((~quiet(X)&generous(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&funny(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((funny(X)|generous(X))=>~quiet(X)))&
((?[X]:((tall(X)<~>kind(X))))=>(calm(fred)))&
(![X]:((wise(X)|~patient(X))=>~generous(X)))&... | ~funny(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3543943549242537554881676
% SZS output start Proof for 3543943549242537554881676
19. funny(fred) & generous(fred) [input p18]
24. ~funny(fred) [input hypothesis]
132. funny(fred) [cnf transformation 19]
138. ~funny(fred) [cnf transformation 24]
236. 22 <=> funny(fred) [avatar definition]
... | 0 |
Everyone who is happy or old is not wise or not tall and vice versa.
Everyone who is not tall is happy or not humble.
Everyone who is either not tall or humble is either strong or not quiet.
Everyone who is both not brave and not generous is strong or rich.
Everyone who is not old is both calm and rich.
Everyone who is... | Alice is not brave. | entailment | (![X]:((happy(X)|old(X))<=>(~wise(X)|~tall(X))))&
(![X]:(~tall(X)=>(happy(X)|~humble(X))))&
(![X]:((~tall(X)<~>humble(X))=>(strong(X)<~>~quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(strong(X)|rich(X))))&
(![X]:(~old(X)=>(calm(X)&rich(X))))&
(![X]:(~tall(X)<=>(creative(X)<~>~humble(X))))&
(((~calm(paul)|~quiet(paul)))... | ~brave(alice) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4461725085651326314833659
% SZS output start Proof for 4461725085651326314833659
11. ! [X0] : ((~humble(X0) | brave(X0)) <=> (patient(X0) & wise(X0))) [input p10]
20. ~wise(alice) & kind(alice) [input p19]
25. brave(alice) [input hypothesis]
28. ~wise(alice) [pure predicate removal 20]
56... | 0 |
Everyone who is either strong or humble is patient.
Everyone who is either not rich or creative is either rich or not tall.
If someone is either not wise or strong then fred is either not brave or not rich.
If paul is not quiet or not creative then someone is wise or not patient and vice versa.
Everyone who is either q... | Fred is rich. | neutral | (![X]:((strong(X)<~>humble(X))=>patient(X)))&
(![X]:((~rich(X)<~>creative(X))=>(rich(X)<~>~tall(X))))&
((?[X]:((~wise(X)<~>strong(X))))=>((~brave(fred)<~>~rich(fred))))&
(((~quiet(paul)|~creative(paul)))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((quiet(X)<~>~quiet(X))=>(~brave(X)<~>tall(X))))&
(![X]:((brave(X)&~humble(... | rich(fred) | [] | null | 0 |
Everyone who is strong or not curious is kind and vice versa.
Everyone who is not strong is wise and vice versa.
If someone is not happy or not patient then someone is not creative.
If someone is brave then lucy is either happy or not kind.
If someone is both creative and not brave then someone is old or strong.
Everyo... | Fred is curious. | contradiction | (![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:(~strong(X)<=>wise(X)))&
((?[X]:((~happy(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:(brave(X)))=>((happy(lucy)<~>~kind(lucy))))&
((?[X]:((creative(X)&~brave(X))))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(happy(X)&rich(X))))&
(![X]:((~funny... | curious(fred) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3164171969224015810865006
% SZS output start Proof for 3164171969224015810865006
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> wise(X0)) [input p1]
6. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (rich(X0) & happy(X0))) [input p5]
7. ! [X0] : ... | 0 |
Everyone who is both tall and not curious is rich and vice versa. Everyone who is curious is both not brave and brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or ... | Lucy is not generous. | neutral | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(~brave(X)&brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fr... | ~generous(lucy) | [] | null | 0 |
Everyone who is not old is both rich and not strong and vice versa.
Everyone who is both not rich and curious is either not kind or not humble and vice versa.
Everyone who is both calm and not rich is both quiet and rich and vice versa.
If susan is not kind or humble then lucy is both not calm and not creative and vice... | John is not curious. | entailment | (![X]:(~old(X)<=>(rich(X)&~strong(X))))&
(![X]:((~rich(X)&curious(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((calm(X)&~rich(X))<=>(quiet(X)&rich(X))))&
(((~kind(susan)|humble(susan)))<=>((~calm(lucy)&~creative(lucy))))&
((?[X]:(~happy(X)))<=>((happy(lucy)&wise(lucy))))&
(((quiet(paul)|~wise(paul)))=>(?[X]:(~strong(X))))&
... | ~curious(john) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8567001918441169948175637
% SZS output start Proof for 8567001918441169948175637
1. ! [X0] : (~old(X0) <=> (~strong(X0) & rich(X0))) [input p0]
2. ! [X0] : ((curious(X0) & ~rich(X0)) <=> (~kind(X0) <~> ~humble(X0))) [input p1]
3. ! [X0] : ((~rich(X0) & calm(X0)) <=> (rich(X0) & quiet(X0))... | 0 |
If someone is strong or not creative then fred is either quiet or creative.
Everyone who is both creative and not happy is not tall or not old.
Everyone who is either not patient or not wise is either not generous or brave and vice versa.
If fred is tall or not brave then someone is both not strong and quiet.
Everyone ... | Paul is curious. | neutral | ((?[X]:((strong(X)|~creative(X))))=>((quiet(fred)<~>creative(fred))))&
(![X]:((creative(X)&~happy(X))=>(~tall(X)|~old(X))))&
(![X]:((~patient(X)<~>~wise(X))<=>(~generous(X)<~>brave(X))))&
(((tall(fred)|~brave(fred)))=>(?[X]:((~strong(X)&quiet(X)))))&
(![X]:((curious(X)<~>~generous(X))<=>(happy(X)<~>creative(X))))&
((~s... | curious(paul) | [] | null | 0 |
Everyone who is either not funny or creative is not patient or not strong.
If alice is either quiet or generous then someone is kind or quiet.
Everyone who is wise or kind is both not calm and tall.
If someone is old or kind then someone is both kind and not rich and vice versa.
Everyone who is not wise is either gener... | Alice is quiet. | neutral | (![X]:((~funny(X)<~>creative(X))=>(~patient(X)|~strong(X))))&
(((quiet(alice)<~>generous(alice)))=>(?[X]:((kind(X)|quiet(X)))))&
(![X]:((wise(X)|kind(X))=>(~calm(X)&tall(X))))&
((?[X]:((old(X)|kind(X))))<=>(?[X]:((kind(X)&~rich(X)))))&
(![X]:(~wise(X)<=>(generous(X)<~>~humble(X))))&
(((strong(susan)&~calm(susan)))=>((k... | quiet(alice) | [] | null | 0 |
If lucy is brave then someone is curious.
Everyone who is both funny and curious is curious or not funny and vice versa.
If alice is rich or not rich then mary is old or not happy.
Everyone who is not quiet or old is either curious or not generous and vice versa.
If mary is generous then alice is not happy or funny.
Ev... | Fred is patient. | neutral | ((brave(lucy))=>(?[X]:(curious(X))))&
(![X]:((funny(X)&curious(X))<=>(curious(X)|~funny(X))))&
(((rich(alice)|~rich(alice)))=>((old(mary)|~happy(mary))))&
(![X]:((~quiet(X)|old(X))<=>(curious(X)<~>~generous(X))))&
((generous(mary))=>((~happy(alice)|funny(alice))))&
(![X]:((~generous(X)<~>patient(X))=>(~generous(X)|tall... | patient(fred) | [] | null | 0 |
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