premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not rich or not quiet is both not funny and generous. If fred is quiet or patient then someone is not quiet or not brave. Everyone who is not generous is not wise or kind and vice versa. If someone is not curious then john is either strong or happy and vice versa. Everyone who is both creative and not k... | John is wise. | entailment | (![X]:((~rich(X)|~quiet(X))=>(~funny(X)&generous(X))))&
(((quiet(fred)|patient(fred)))=>(?[X]:((~quiet(X)|~brave(X)))))&
(![X]:(~generous(X)<=>(~wise(X)|kind(X))))&
((?[X]:(~curious(X)))<=>((strong(john)<~>happy(john))))&
(![X]:((creative(X)&~kind(X))=>(~old(X)&~tall(X))))&
(![X]:((calm(X)<~>kind(X))=>(wise(X)<~>~curio... | wise(john) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5809789040051962009723183
% SZS output start Proof for 5809789040051962009723183
1. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (generous(X0) & ~funny(X0))) [input p0]
3. ! [X0] : (~generous(X0) <=> (kind(X0) | ~wise(X0))) [input p2]
13. ! [X0] : (~generous(X0) <=> (old(X0) & ~rich(X0))) [input... | 0 |
If alice is not brave then someone is not quiet and vice versa.
Everyone who is both not quiet and not rich is not calm or patient and vice versa.
Everyone who is both not old and not wise is not funny or patient and vice versa.
Everyone who is either not old or quiet is not tall and vice versa.
Everyone who is not ric... | Alice is old. | contradiction | ((~brave(alice))<=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)&~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~old(X)&~wise(X))<=>(~funny(X)|patient(X))))&
(![X]:((~old(X)<~>quiet(X))<=>~tall(X)))&
(![X]:((~rich(X)|~happy(X))=>(calm(X)&~humble(X))))&
((?[X]:((generous(X)&tall(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:(stron... | old(alice) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 129579714158983987449422
% SZS output start Proof for 129579714158983987449422
2. ! [X0] : ((~rich(X0) & ~quiet(X0)) <=> (patient(X0) | ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & ~old(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> ~tall(X0)... | 0 |
If alice is both creative and curious then susan is either rich or quiet.
Everyone who is happy is not quiet or old and vice versa.
Everyone who is either brave or patient is both generous and not happy.
If someone is calm then someone is not humble or not funny and vice versa.
Everyone who is both old and not funny is... | Paul is patient. | neutral | (((creative(alice)&curious(alice)))=>((rich(susan)<~>quiet(susan))))&
(![X]:(happy(X)<=>(~quiet(X)|old(X))))&
(![X]:((brave(X)<~>patient(X))=>(generous(X)&~happy(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((old(X)&~funny(X))<=>(strong(X)|~happy(X))))&
(![X]:((~rich(X)|~quiet(X))=>wise(X)))&
(![X... | patient(paul) | [] | null | 0 |
If someone is either not creative or humble then someone is either not rich or not wise.
If alice is creative then lucy is brave or not patient.
Everyone who is both old and not quiet is either brave or not old.
Everyone who is not kind is not curious.
Everyone who is either not curious or brave is creative.
If someone... | John is funny. | contradiction | ((?[X]:((~creative(X)<~>humble(X))))=>(?[X]:((~rich(X)<~>~wise(X)))))&
((creative(alice))=>((brave(lucy)|~patient(lucy))))&
(![X]:((old(X)&~quiet(X))=>(brave(X)<~>~old(X))))&
(![X]:(~kind(X)=>~curious(X)))&
(![X]:((~curious(X)<~>brave(X))=>creative(X)))&
((?[X]:((~rich(X)&~generous(X))))=>(?[X]:(~calm(X))))&
(((creativ... | funny(john) | [
"p5",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 53864565940586747234765
% SZS output start Proof for 53864565940586747234765
6. ? [X0] : (~generous(X0) & ~rich(X0)) => ? [X0] : ~calm(X0) [input p5]
8. ! [X0] : ((~strong(X0) & old(X0)) <=> (funny(X0) | brave(X0))) [input p7]
10. ! [X0] : (generous(X0) <=> ~humble(X0)) [input p9]
11. ! [... | 0 |
Everyone who is not old is curious or quiet and vice versa.
Everyone who is both patient and not brave is patient or not quiet and vice versa.
Everyone who is old or not humble is not happy.
Everyone who is not quiet is not kind or not patient.
If alice is both old and calm then someone is both not humble and not tall.... | Paul is not brave. | entailment | (![X]:(~old(X)<=>(curious(X)|quiet(X))))&
(![X]:((patient(X)&~brave(X))<=>(patient(X)|~quiet(X))))&
(![X]:((old(X)|~humble(X))=>~happy(X)))&
(![X]:(~quiet(X)=>(~kind(X)|~patient(X))))&
(((old(alice)&calm(alice)))=>(?[X]:((~humble(X)&~tall(X)))))&
((?[X]:((curious(X)|rich(X))))=>(?[X]:((~tall(X)&happy(X)))))&
(((old(ali... | ~brave(paul) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6711141104685925349440390
% SZS output start Proof for 6711141104685925349440390
2. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~quiet(X0) | patient(X0))) [input p1]
13. ! [X0] : ((~curious(X0) | brave(X0)) <=> (~rich(X0) & ~quiet(X0))) [input p12]
23. brave(paul) [input hypothesis]
39. ! [... | 0 |
If someone is both calm and not kind then someone is either rich or not brave and vice versa.
Everyone who is not wise or not quiet is generous or wise.
If paul is kind or rich then fred is both brave and tall and vice versa.
If someone is both not calm and humble then someone is either not strong or brave and vice ver... | Fred is not kind. | entailment | ((?[X]:((calm(X)&~kind(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((~wise(X)|~quiet(X))=>(generous(X)|wise(X))))&
(((kind(paul)|rich(paul)))<=>((brave(fred)&tall(fred))))&
((?[X]:((~calm(X)&humble(X))))<=>(?[X]:((~strong(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)|wise(X))))&
(![X]:((curious(X)|g... | ~kind(fred) | [
"p4",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8132997963626051351506027
% SZS output start Proof for 8132997963626051351506027
5. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (wise(X0) | ~creative(X0))) [input p4]
8. ? [X0] : (~happy(X0) & ~creative(X0)) <=> ? [X0] : (~kind(X0) & ~patient(X0)) [input p7]
9. ! [X0] : (calm(X0) => (quiet(X0)... | 0 |
If someone is both generous and creative then john is both old and not curious. Everyone who is both quiet and happy is either not quiet or not funny. If mary is either not tall or kind then lucy is not quiet and vice versa. Everyone who is not creative is both not brave and not strong and vice versa. If susan is not h... | Mary is rich. | neutral | ((?[X]:((generous(X)&creative(X))))=>((old(john)&~curious(john))))&
(![X]:((quiet(X)&happy(X))=>(~quiet(X)<~>~funny(X))))&
(((~tall(mary)<~>kind(mary)))<=>(~quiet(lucy)))&
(![X]:(~creative(X)<=>(~brave(X)&~strong(X))))&
((~humble(susan))<=>(~creative(alice)))&
(![X]:((funny(X)&~humble(X))=>(old(X)|~humble(X))))&
(![X]:... | rich(mary) | [] | null | 0 |
If susan is both brave and old then fred is either not brave or not humble.
Everyone who is both not patient and not funny is both not curious and generous and vice versa.
If paul is not humble then someone is either wise or brave and vice versa.
Everyone who is happy or not old is funny or not kind and vice versa.
If ... | John is happy. | entailment | (((brave(susan)&old(susan)))=>((~brave(fred)<~>~humble(fred))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X)|~old(X))<=>(funny(X)|~kind(X))))&
((?[X]:(quiet(X)))<=>(generous(paul)))&
(((~brave(lucy)&~quiet(lucy)))<=>(?[X]:(rich(X))))&... | happy(john) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"p13",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3682642721454530179976187
% SZS output start Proof for 3682642721454530179976187
2. ! [X0] : ((~funny(X0) & ~patient(X0)) <=> (generous(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((~old(X0) | happy(X0)) <=> (~kind(X0) | funny(X0))) [input p3]
7. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (~... | 0 |
Everyone who is both not curious and kind is wise. Everyone who is both not creative and patient is both not generous and not creative and vice versa. Everyone who is not calm is both not creative and wise and vice versa. If paul is both not creative and generous then someone is brave and vice versa. If alice is both n... | Paul is brave. | contradiction | (![X]:((~curious(X)&kind(X))=>wise(X)))&
(![X]:((~creative(X)&patient(X))<=>(~generous(X)&~creative(X))))&
(![X]:(~calm(X)<=>(~creative(X)&wise(X))))&
(((~creative(paul)&generous(paul)))<=>(?[X]:(brave(X))))&
(((~strong(alice)&strong(alice)))<=>((creative(alice)|~funny(alice))))&
(((creative(fred)|~rich(fred)))<=>(?[X]... | brave(paul) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 533000049694896255137729
% SZS output start Proof for 533000049694896255137729
4. (generous(paul) & ~creative(paul)) <=> ? [X0] : brave(X0) [input p3]
9. ? [X0] : (~wise(X0) | wise(X0)) <=> ~generous(paul) [input p8]
23. brave(paul) [input hypothesis]
37. ((generous(paul) & ~creative(paul... | 0 |
If someone is funny then someone is happy or wise and vice versa.
Everyone who is both rich and patient is not old and vice versa.
Everyone who is not kind or not wise is tall.
Everyone who is curious or not old is either not humble or rich.
If mary is not tall then paul is not kind or not happy.
Everyone who is quiet ... | Lucy is patient. | entailment | ((?[X]:(funny(X)))<=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((rich(X)&patient(X))<=>~old(X)))&
(![X]:((~kind(X)|~wise(X))=>tall(X)))&
(![X]:((curious(X)|~old(X))=>(~humble(X)<~>rich(X))))&
((~tall(mary))=>((~kind(paul)|~happy(paul))))&
(![X]:(quiet(X)<=>(~funny(X)&~generous(X))))&
((?[X]:((~tall(X)&~generous(X))))<=>(?[X]... | patient(lucy) | [
"p1",
"p2",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6729574720087987965225394
% SZS output start Proof for 6729574720087987965225394
2. ! [X0] : ((patient(X0) & rich(X0)) <=> ~old(X0)) [input p1]
3. ! [X0] : ((~wise(X0) | ~kind(X0)) => tall(X0)) [input p2]
14. ! [X0] : ((happy(X0) | tall(X0)) => ~old(X0)) [input p13]
15. ! [X0] : ((old(X0)... | 0 |
Everyone who is not funny or kind is either humble or not old and vice versa.
Everyone who is not calm or not brave is either happy or not calm.
Everyone who is both strong and tall is either not funny or curious.
Everyone who is funny is both not generous and humble and vice versa.
Everyone who is funny or not old is ... | Paul is tall. | entailment | (![X]:((~funny(X)|kind(X))<=>(humble(X)<~>~old(X))))&
(![X]:((~calm(X)|~brave(X))=>(happy(X)<~>~calm(X))))&
(![X]:((strong(X)&tall(X))=>(~funny(X)<~>curious(X))))&
(![X]:(funny(X)<=>(~generous(X)&humble(X))))&
(![X]:((funny(X)|~old(X))=>(~old(X)<~>~happy(X))))&
(![X]:(~calm(X)<=>(rich(X)&old(X))))&
(![X]:(strong(X)<=>(... | tall(paul) | [
"p3",
"p6",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8341645099325687036380650
% SZS output start Proof for 8341645099325687036380650
4. ! [X0] : (funny(X0) <=> (humble(X0) & ~generous(X0))) [input p3]
7. ! [X0] : (strong(X0) <=> (funny(X0) & ~old(X0))) [input p6]
12. (~strong(paul) | wise(paul)) => (~patient(paul) & tall(paul)) [input p11]... | 0 |
If someone is strong then someone is both not curious and generous and vice versa.
If lucy is both not funny and rich then someone is funny or not brave and vice versa.
Everyone who is not humble is either wise or happy and vice versa.
If fred is both not patient and happy then someone is both funny and not strong and ... | Susan is not strong. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((~curious(X)&generous(X)))))&
(((~funny(lucy)&rich(lucy)))<=>(?[X]:((funny(X)|~brave(X)))))&
(![X]:(~humble(X)<=>(wise(X)<~>happy(X))))&
(((~patient(fred)&happy(fred)))<=>(?[X]:((funny(X)&~strong(X)))))&
(![X]:(strong(X)<=>(~old(X)&~happy(X))))&
(((wise(alice)<~>generous(alice)))<=>((~curio... | ~strong(susan) | [
"p2",
"p4",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6046945353440687681223979
% SZS output start Proof for 6046945353440687681223979
3. ! [X0] : (~humble(X0) <=> (wise(X0) <~> happy(X0))) [input p2]
5. ! [X0] : (strong(X0) <=> (~happy(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((rich(X0) & ~rich(X0)) <=> ~calm(X0)) [input p7]
9. ! [X0] : ((wi... | 0 |
Everyone who is either not tall or curious is rich or not kind and vice versa.
Everyone who is kind is not quiet and vice versa.
If someone is both not creative and creative then someone is both not brave and not strong and vice versa.
If paul is patient then fred is either calm or brave.
If someone is both old and not... | Paul is not wise. | neutral | (![X]:((~tall(X)<~>curious(X))<=>(rich(X)|~kind(X))))&
(![X]:(kind(X)<=>~quiet(X)))&
((?[X]:((~creative(X)&creative(X))))<=>(?[X]:((~brave(X)&~strong(X)))))&
((patient(paul))=>((calm(fred)<~>brave(fred))))&
((?[X]:((old(X)&~happy(X))))<=>((happy(alice)&~funny(alice))))&
(((kind(lucy)<~>old(lucy)))=>(?[X]:((humble(X)&~c... | ~wise(paul) | [] | null | 0 |
Everyone who is both rich and generous is humble or happy and vice versa.
Everyone who is funny or not humble is calm or not wise and vice versa.
If mary is both happy and not funny then someone is either not patient or tall.
Everyone who is either not patient or not calm is both creative and quiet and vice versa.
Ever... | Susan is not quiet. | neutral | (![X]:((rich(X)&generous(X))<=>(humble(X)|happy(X))))&
(![X]:((funny(X)|~humble(X))<=>(calm(X)|~wise(X))))&
(((happy(mary)&~funny(mary)))=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&quiet(X))))&
(![X]:((~generous(X)&quiet(X))<=>brave(X)))&
((happy(susan))=>(~quiet(susan)))&
(![X]:... | ~quiet(susan) | [] | null | 0 |
If someone is funny or kind then someone is either not wise or humble and vice versa.
Everyone who is happy is not old and vice versa.
Everyone who is not happy is both generous and calm.
Everyone who is old or rich is kind.
Everyone who is funny is not creative or not kind.
Everyone who is not humble or old is rich or... | Paul is not happy. | contradiction | ((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))... | ~happy(paul) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8277801098520465087607182
% SZS output start Proof for 8277801098520465087607182
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
19. ~generous(paul) | ~calm(paul) [input p18]
25. ~happy(paul) [input hypothesis]
27. ! [X0] : ((calm(X0) & generous(X0)) | happy(X0)) [ennf tr... | 0 |
Everyone who is old or patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is tall or humble and vice versa.
Everyone who is curious or quiet is both funny... | Paul is humble. | neutral | (![X]:((old(X)|patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&
(![X]:(~patient(X)<=>(~old(X)&funny(X))))&
(![X]:((~curio... | humble(paul) | [] | null | 0 |
Everyone who is not wise or rich is either not funny or not kind.
If susan is both strong and not kind then paul is either not funny or wise and vice versa.
If someone is both strong and not kind then someone is either not wise or happy.
If lucy is patient or brave then fred is creative and vice versa.
Everyone who is ... | Paul is not generous. | neutral | (![X]:((~wise(X)|rich(X))=>(~funny(X)<~>~kind(X))))&
(((strong(susan)&~kind(susan)))<=>((~funny(paul)<~>wise(paul))))&
((?[X]:((strong(X)&~kind(X))))=>(?[X]:((~wise(X)<~>happy(X)))))&
(((patient(lucy)|brave(lucy)))<=>(creative(fred)))&
(![X]:((~calm(X)|happy(X))<=>(wise(X)<~>~old(X))))&
(((~old(fred)|happy(fred)))=>(?[... | ~generous(paul) | [] | null | 0 |
Everyone who is either rich or not curious is both not wise and not kind.
Everyone who is either not old or wise is both strong and brave and vice versa.
Everyone who is not quiet is both kind and not patient and vice versa.
If someone is both humble and not rich then someone is both rich and not creative and vice vers... | Fred is not wise. | neutral | (![X]:((rich(X)<~>~curious(X))=>(~wise(X)&~kind(X))))&
(![X]:((~old(X)<~>wise(X))<=>(strong(X)&brave(X))))&
(![X]:(~quiet(X)<=>(kind(X)&~patient(X))))&
((?[X]:((humble(X)&~rich(X))))<=>(?[X]:((rich(X)&~creative(X)))))&
(![X]:((old(X)|quiet(X))=>~brave(X)))&
(((happy(fred)<~>strong(fred)))<=>((~calm(john)<~>~wise(john))... | ~wise(fred) | [] | null | 0 |
Everyone who is either not kind or old is not patient or happy and vice versa.
If paul is either not curious or funny then someone is either not brave or happy.
Everyone who is either brave or not brave is both not kind and not humble.
If john is both not quiet and not curious then someone is not wise.
Everyone who is ... | Mary is not curious. | contradiction | (![X]:((~kind(X)<~>old(X))<=>(~patient(X)|happy(X))))&
(((~curious(paul)<~>funny(paul)))=>(?[X]:((~brave(X)<~>happy(X)))))&
(![X]:((brave(X)<~>~brave(X))=>(~kind(X)&~humble(X))))&
(((~quiet(john)&~curious(john)))=>(?[X]:(~wise(X))))&
(![X]:(creative(X)<=>(funny(X)|humble(X))))&
((?[X]:((funny(X)&~kind(X))))=>(?[X]:((wi... | ~curious(mary) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8413823021880794632365554
% SZS output start Proof for 8413823021880794632365554
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~humble(X0) & ~kind(X0))) [input p2]
9. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (quiet(X0) & ~kind(X0))) [input p8]
10. ! [X0] : ((~curious(X0) | ~strong(X0)) => (~... | 0 |
Everyone who is either creative or kind is either humble or not rich.
Everyone who is either wise or humble is either not quiet or humble.
Everyone who is patient or not wise is strong or brave.
If someone is quiet then fred is either kind or tall and vice versa.
If someone is happy then mary is happy or generous and v... | Susan is strong. | neutral | (![X]:((creative(X)<~>kind(X))=>(humble(X)<~>~rich(X))))&
(![X]:((wise(X)<~>humble(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((patient(X)|~wise(X))=>(strong(X)|brave(X))))&
((?[X]:(quiet(X)))<=>((kind(fred)<~>tall(fred))))&
((?[X]:(happy(X)))<=>((happy(mary)|generous(mary))))&
(![X]:((~funny(X)<~>~humble(X))=>(~tall(X)&tal... | strong(susan) | [] | null | 0 |
If john is calm then lucy is tall and vice versa.
Everyone who is not humble is either not humble or creative and vice versa.
Everyone who is either not rich or not quiet is creative and vice versa.
If someone is patient or not creative then someone is either old or generous and vice versa.
Everyone who is not brave is... | Fred is not creative. | entailment | ((calm(john))<=>(tall(lucy)))&
(![X]:(~humble(X)<=>(~humble(X)<~>creative(X))))&
(![X]:((~rich(X)<~>~quiet(X))<=>creative(X)))&
((?[X]:((patient(X)|~creative(X))))<=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(~brave(X)<=>(strong(X)|~tall(X))))&
((~generous(john))=>(kind(fred)))&
((~kind(lucy))=>(?[X]:((~creative(X)<~>~cu... | ~creative(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6477580584740269253391645
% SZS output start Proof for 6477580584740269253391645
2. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> creative(X0))) [input p1]
23. creative(fred) [input hypothesis]
36. ! [X0] : ((~humble(X0) | ((~humble(X0) | ~creative(X0)) & (creative(X0) | humble(X0)))) & (((~... | 0 |
If fred is either patient or not old then paul is both not generous and old and vice versa.
Everyone who is both patient and not rich is not brave.
Everyone who is both not tall and not strong is not old and vice versa.
If someone is both calm and tall then fred is both not strong and not curious and vice versa.
Everyo... | Susan is calm. | neutral | (((patient(fred)<~>~old(fred)))<=>((~generous(paul)&old(paul))))&
(![X]:((patient(X)&~rich(X))=>~brave(X)))&
(![X]:((~tall(X)&~strong(X))<=>~old(X)))&
((?[X]:((calm(X)&tall(X))))<=>((~strong(fred)&~curious(fred))))&
(![X]:((strong(X)<~>~happy(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((calm(X)... | calm(susan) | [] | null | 0 |
Everyone who is both not creative and patient is either not strong or rich and vice versa. Everyone who is both not curious and not calm is either creative or not humble and vice versa. If someone is wise or rich then alice is tall or creative and vice versa. If alice is not humble or not creative then someone is eithe... | John is not wise. | entailment | (![X]:((~creative(X)&patient(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>(creative(X)<~>~humble(X))))&
((?[X]:((wise(X)|rich(X))))<=>((tall(alice)|creative(alice))))&
(((~humble(alice)|~creative(alice)))=>(?[X]:((quiet(X)<~>~strong(X)))))&
(![X]:(happy(X)<=>(~humble(X)|~old(X))))&
(![X]:((curious(X)... | ~wise(john) | [
"p1",
"p2",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1370621382364080696821641
% SZS output start Proof for 1370621382364080696821641
2. ! [X0] : ((~calm(X0) & ~curious(X0)) <=> (creative(X0) <~> ~humble(X0))) [input p1]
3. ? [X0] : (rich(X0) | wise(X0)) <=> (creative(alice) | tall(alice)) [input p2]
10. ! [X0] : ((~humble(X0) <~> kind(X0))... | 0 |
Everyone who is either not kind or not tall is either quiet or not generous and vice versa. Everyone who is either wise or not tall is not creative and vice versa. Everyone who is not generous or curious is not brave or not strong and vice versa. If john is both not funny and not wise then someone is humble and vice ve... | Susan is calm. | neutral | (![X]:((~kind(X)<~>~tall(X))<=>(quiet(X)<~>~generous(X))))&
(![X]:((wise(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~generous(X)|curious(X))<=>(~brave(X)|~strong(X))))&
(((~funny(john)&~wise(john)))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)&kind(X))=>calm(X)))&
(![X]:((~rich(X)|~tall(X))<=>(~brave(X)|creative(X))))&
(![X]... | calm(susan) | [] | null | 0 |
If someone is either not strong or not generous then someone is both quiet and not tall and vice versa.
Everyone who is both not rich and brave is calm or wise and vice versa.
Everyone who is either not rich or not patient is both not happy and strong.
If alice is tall then fred is not funny or creative and vice versa.... | Susan is calm. | neutral | ((?[X]:((~strong(X)<~>~generous(X))))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~rich(X)&brave(X))<=>(calm(X)|wise(X))))&
(![X]:((~rich(X)<~>~patient(X))=>(~happy(X)&strong(X))))&
((tall(alice))<=>((~funny(fred)|creative(fred))))&
(![X]:((~tall(X)<~>~kind(X))<=>quiet(X)))&
(![X]:(strong(X)<=>(patient(X)&kind(X))))&
((?[... | calm(susan) | [] | null | 0 |
If someone is either not kind or humble then john is curious.
Everyone who is not creative is either not calm or old.
Everyone who is generous is both happy and not kind and vice versa.
If someone is creative or not calm then someone is either not rich or not strong.
Everyone who is both not kind and tall is both not f... | Paul is wise. | entailment | ((?[X]:((~kind(X)<~>humble(X))))=>(curious(john)))&
(![X]:(~creative(X)=>(~calm(X)<~>old(X))))&
(![X]:(generous(X)<=>(happy(X)&~kind(X))))&
((?[X]:((creative(X)|~calm(X))))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((~kind(X)&tall(X))=>(~funny(X)&~kind(X))))&
((~strong(john))=>((~patient(fred)&curious(fred))))&
(![X]:(... | wise(paul) | [
"p1",
"p6",
"p8",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3163927861611072160641160
% SZS output start Proof for 3163927861611072160641160
2. ! [X0] : (~creative(X0) => (~calm(X0) <~> old(X0))) [input p1]
7. ! [X0] : ((~old(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~humble(X0))) [input p6]
9. ! [X0] : ((~rich(X0) | humble(X0)) <=> ~patient(X0)) [... | 0 |
If someone is both rich and not patient then alice is either rich or not quiet.
Everyone who is patient or not quiet is curious and vice versa.
If fred is not strong or not old then mary is not creative or not patient and vice versa.
If someone is either not rich or creative then someone is either not curious or not wi... | Alice is strong. | entailment | ((?[X]:((rich(X)&~patient(X))))=>((rich(alice)<~>~quiet(alice))))&
(![X]:((patient(X)|~quiet(X))<=>curious(X)))&
(((~strong(fred)|~old(fred)))<=>((~creative(mary)|~patient(mary))))&
((?[X]:((~rich(X)<~>creative(X))))=>(?[X]:((~curious(X)<~>~wise(X)))))&
((?[X]:((old(X)<~>kind(X))))=>(?[X]:((~strong(X)<~>old(X)))))&
(![... | strong(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7513047821556896339453433
% SZS output start Proof for 7513047821556896339453433
7. ! [X0] : (~strong(X0) => (~happy(X0) & strong(X0))) [input p6]
24. ~strong(alice) [input hypothesis]
32. ! [X0] : ((~happy(X0) & strong(X0)) | strong(X0)) [ennf transformation 7]
108. strong(X0) | strong(X... | 0 |
Everyone who is happy is wise or not wise and vice versa. Everyone who is not creative or old is both quiet and patient. Everyone who is tall is quiet or not creative. If susan is both not humble and not generous then paul is either not tall or not patient and vice versa. If someone is not rich then john is both curiou... | Susan is calm. | neutral | (![X]:(happy(X)<=>(wise(X)|~wise(X))))&
(![X]:((~creative(X)|old(X))=>(quiet(X)&patient(X))))&
(![X]:(tall(X)=>(quiet(X)|~creative(X))))&
(((~humble(susan)&~generous(susan)))<=>((~tall(paul)<~>~patient(paul))))&
((?[X]:(~rich(X)))<=>((curious(john)&calm(john))))&
((?[X]:((rich(X)<~>~quiet(X))))<=>(patient(susan)))&
(![... | calm(susan) | [] | null | 0 |
Everyone who is not tall or humble is either not brave or calm.
Everyone who is not tall or not generous is both not creative and curious.
If someone is kind or quiet then someone is not brave or not wise and vice versa.
If susan is both rich and tall then someone is both strong and happy and vice versa.
Everyone who i... | Paul is calm. | contradiction | (![X]:((~tall(X)|humble(X))=>(~brave(X)<~>calm(X))))&
(![X]:((~tall(X)|~generous(X))=>(~creative(X)&curious(X))))&
((?[X]:((kind(X)|quiet(X))))<=>(?[X]:((~brave(X)|~wise(X)))))&
(((rich(susan)&tall(susan)))<=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((tall(X)&quiet(X))=>(quiet(X)&funny(X))))&
((?[X]:((rich(X)&~quiet(X))))... | calm(paul) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4521498815421045823916028
% SZS output start Proof for 4521498815421045823916028
8. ! [X0] : (~funny(X0) <=> (funny(X0) | ~strong(X0))) [input p7]
19. calm(paul) <~> ~funny(paul) [input p18]
24. calm(paul) [input hypothesis]
61. ! [X0] : ((~funny(X0) | (~funny(X0) & strong(X0))) & ((funny... | 0 |
Everyone who is rich is wise or not kind and vice versa.
Everyone who is both not patient and humble is not patient or old.
Everyone who is either calm or humble is either creative or rich.
If someone is old or creative then someone is both old and wise.
Everyone who is not happy or not quiet is happy and vice versa.
I... | Mary is not curious. | entailment | (![X]:(rich(X)<=>(wise(X)|~kind(X))))&
(![X]:((~patient(X)&humble(X))=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>humble(X))=>(creative(X)<~>rich(X))))&
((?[X]:((old(X)|creative(X))))=>(?[X]:((old(X)&wise(X)))))&
(![X]:((~happy(X)|~quiet(X))<=>happy(X)))&
((?[X]:((~humble(X)<~>patient(X))))=>(?[X]:((~old(X)|kind(X)))))&... | ~curious(mary) | [
"p0",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4825077479574449454820298
% SZS output start Proof for 4825077479574449454820298
1. ! [X0] : (rich(X0) <=> (~kind(X0) | wise(X0))) [input p0]
9. ! [X0] : ((tall(X0) | kind(X0)) <=> (rich(X0) <~> ~kind(X0))) [input p8]
12. ! [X0] : ((curious(X0) | ~kind(X0)) => (~rich(X0) & strong(X0))) [i... | 0 |
Everyone who is either kind or not calm is not calm or rich. If paul is either not patient or old then someone is not strong or not creative and vice versa. If paul is not happy or quiet then fred is either quiet or not strong and vice versa. Everyone who is either calm or not strong is not creative and vice versa. Eve... | Paul is quiet. | neutral | (![X]:((kind(X)<~>~calm(X))=>(~calm(X)|rich(X))))&
(((~patient(paul)<~>old(paul)))<=>(?[X]:((~strong(X)|~creative(X)))))&
(((~happy(paul)|quiet(paul)))<=>((quiet(fred)<~>~strong(fred))))&
(![X]:((calm(X)<~>~strong(X))<=>~creative(X)))&
(![X]:((~rich(X)<~>~kind(X))=>brave(X)))&
((?[X]:((~brave(X)|tall(X))))=>(?[X]:((hap... | quiet(paul) | [] | null | 0 |
If alice is either not brave or curious then someone is calm or funny and vice versa. Everyone who is both tall and patient is strong or not strong and vice versa. Everyone who is either not quiet or not strong is quiet and vice versa. If someone is either happy or not strong then paul is either generous or strong and ... | Paul is generous. | neutral | (((~brave(alice)<~>curious(alice)))<=>(?[X]:((calm(X)|funny(X)))))&
(![X]:((tall(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>quiet(X)))&
((?[X]:((happy(X)<~>~strong(X))))<=>((generous(paul)<~>strong(paul))))&
((?[X]:((brave(X)|~brave(X))))=>(?[X]:(~kind(X))))&
(((quiet(mary)&calm(mary))... | generous(paul) | [] | null | 0 |
Everyone who is either rich or not old is not generous or strong and vice versa.
Everyone who is not tall is both not brave and not happy.
Everyone who is both calm and tall is not generous and vice versa.
Everyone who is both not wise and not generous is generous and vice versa.
If someone is both curious and wise the... | Susan is not wise. | contradiction | (![X]:((rich(X)<~>~old(X))<=>(~generous(X)|strong(X))))&
(![X]:(~tall(X)=>(~brave(X)&~happy(X))))&
(![X]:((calm(X)&tall(X))<=>~generous(X)))&
(![X]:((~wise(X)&~generous(X))<=>generous(X)))&
((?[X]:((curious(X)&wise(X))))<=>(rich(alice)))&
(![X]:(~curious(X)=>(rich(X)<~>humble(X))))&
(![X]:((tall(X)&curious(X))=>(~humbl... | ~wise(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7942716085229785727480267
% SZS output start Proof for 7942716085229785727480267
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> generous(X0)) [input p3]
23. ~wise(susan) [input hypothesis]
34. ! [X0] : (((~generous(X0) & ~wise(X0)) | ~generous(X0)) & (generous(X0) | (generous(X0) | wise(X0)... | 0 |
Everyone who is not patient or not brave is both not happy and tall and vice versa.
If paul is either not strong or patient then lucy is quiet or not generous and vice versa.
If fred is both happy and not brave then someone is brave or not patient and vice versa.
Everyone who is strong is both not creative and funny.
E... | Lucy is generous. | entailment | (![X]:((~patient(X)|~brave(X))<=>(~happy(X)&tall(X))))&
(((~strong(paul)<~>patient(paul)))<=>((quiet(lucy)|~generous(lucy))))&
(((happy(fred)&~brave(fred)))<=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:(strong(X)=>(~creative(X)&funny(X))))&
(![X]:((~funny(X)&~creative(X))=>(happy(X)&~happy(X))))&
(![X]:((~kind(X)<~>funny(... | generous(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1733865562335055402952691
% SZS output start Proof for 1733865562335055402952691
1. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> (tall(X0) & ~happy(X0))) [input p0]
2. (~strong(paul) <~> patient(paul)) <=> (~generous(lucy) | quiet(lucy)) [input p1]
3. (~brave(fred) & happy(fred)) <=> ? [X0] ... | 0 |
If someone is both not tall and kind then fred is either funny or creative and vice versa. Everyone who is both happy and quiet is not calm and vice versa. If susan is quiet or not strong then susan is both not happy and tall and vice versa. Everyone who is not curious is either kind or brave. Everyone who is both not ... | John is not calm. | contradiction | ((?[X]:((~tall(X)&kind(X))))<=>((funny(fred)<~>creative(fred))))&
(![X]:((happy(X)&quiet(X))<=>~calm(X)))&
(((quiet(susan)|~strong(susan)))<=>((~happy(susan)&tall(susan))))&
(![X]:(~curious(X)=>(kind(X)<~>brave(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~creative(X)&humble(X))))&
(![X]:(creative(X)=>kind(X)))&
(![X]:((~wise... | ~calm(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1129629810373725404100029
% SZS output start Proof for 1129629810373725404100029
9. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p8]
25. ~calm(john) [input hypothesis]
49. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | ~rich(X0)) & (rich(X0) | ((~rich(X0) | ~cal... | 0 |
If mary is either wise or not humble then someone is not old or brave.
Everyone who is not creative is either not wise or not creative.
If fred is either not brave or funny then someone is either quiet or happy.
If someone is not wise or happy then someone is both creative and quiet and vice versa.
Everyone who is both... | John is not patient. | entailment | (((wise(mary)<~>~humble(mary)))=>(?[X]:((~old(X)|brave(X)))))&
(![X]:(~creative(X)=>(~wise(X)<~>~creative(X))))&
(((~brave(fred)<~>funny(fred)))=>(?[X]:((quiet(X)<~>happy(X)))))&
((?[X]:((~wise(X)|happy(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:((~patient(X)&curious(X))<=>~quiet(X)))&
((?[X]:((kind(X)&~funny(X)))... | ~patient(john) | [
"p1",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7501945802472566142298172
% SZS output start Proof for 7501945802472566142298172
2. ! [X0] : (~creative(X0) => (~wise(X0) <~> ~creative(X0))) [input p1]
7. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~wise(X0) <~> ~old(X0))) [input p6]
9. ! [X0] : ((~funny(X0) & funny(X0)) <=> ~old(X0)) [input ... | 0 |
Everyone who is both tall and creative is old or quiet and vice versa. If alice is old then fred is not tall or not rich. If mary is calm then someone is not calm or rich and vice versa. Everyone who is not humble is not patient or not creative and vice versa. Everyone who is not patient is either creative or not calm.... | John is not funny. | neutral | (![X]:((tall(X)&creative(X))<=>(old(X)|quiet(X))))&
((old(alice))=>((~tall(fred)|~rich(fred))))&
((calm(mary))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:(~humble(X)<=>(~patient(X)|~creative(X))))&
(![X]:(~patient(X)=>(creative(X)<~>~calm(X))))&
((?[X]:((~funny(X)|rich(X))))=>((~calm(john)|creative(john))))&
(![X]:(strong(X... | ~funny(john) | [] | null | 0 |
Everyone who is quiet or funny is either kind or funny and vice versa.
Everyone who is either happy or not patient is calm.
Everyone who is either generous or old is not curious and vice versa.
If alice is either not kind or not brave then paul is not happy or rich and vice versa.
Everyone who is kind is either not qui... | Paul is not quiet. | neutral | (![X]:((quiet(X)|funny(X))<=>(kind(X)<~>funny(X))))&
(![X]:((happy(X)<~>~patient(X))=>calm(X)))&
(![X]:((generous(X)<~>old(X))<=>~curious(X)))&
(((~kind(alice)<~>~brave(alice)))<=>((~happy(paul)|rich(paul))))&
(![X]:(kind(X)=>(~quiet(X)<~>~curious(X))))&
(![X]:((~wise(X)|~brave(X))<=>(calm(X)|~old(X))))&
(![X]:((strong... | ~quiet(paul) | [] | null | 0 |
Everyone who is rich or not strong is not kind.
Everyone who is rich is old and vice versa.
If fred is both funny and not calm then someone is kind or not quiet and vice versa.
Everyone who is not quiet or happy is both patient and generous and vice versa.
If someone is happy then mary is either kind or not patient and... | Mary is not generous. | contradiction | (![X]:((rich(X)|~strong(X))=>~kind(X)))&
(![X]:(rich(X)<=>old(X)))&
(((funny(fred)&~calm(fred)))<=>(?[X]:((kind(X)|~quiet(X)))))&
(![X]:((~quiet(X)|happy(X))<=>(patient(X)&generous(X))))&
((?[X]:(happy(X)))<=>((kind(mary)<~>~patient(mary))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:((~b... | ~generous(mary) | [
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 609124129256419424543753
% SZS output start Proof for 609124129256419424543753
4. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (generous(X0) & patient(X0))) [input p3]
7. ! [X0] : ((humble(X0) & ~brave(X0)) <=> (old(X0) | ~happy(X0))) [input p6]
14. ! [X0] : (~generous(X0) <=> (brave(X0) & humb... | 0 |
If alice is rich then john is both curious and quiet and vice versa.
Everyone who is tall is strong or generous and vice versa.
If susan is not old or wise then susan is both not quiet and not funny and vice versa.
If someone is either not curious or not wise then someone is not quiet.
If mary is both not old and calm ... | Alice is happy. | contradiction | ((rich(alice))<=>((curious(john)&quiet(john))))&
(![X]:(tall(X)<=>(strong(X)|generous(X))))&
(((~old(susan)|wise(susan)))<=>((~quiet(susan)&~funny(susan))))&
((?[X]:((~curious(X)<~>~wise(X))))=>(?[X]:(~quiet(X))))&
(((~old(mary)&calm(mary)))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((~generous(X)&humble(X))<=>(strong(X)<... | happy(alice) | [
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3128840502205379267312709
% SZS output start Proof for 3128840502205379267312709
15. ! [X0] : ((funny(X0) | happy(X0)) => ~rich(X0)) [input p14]
16. ! [X0] : ((~tall(X0) <~> tall(X0)) <=> (humble(X0) <~> rich(X0))) [input p15]
20. ~humble(alice) & brave(alice) [input p19]
25. happy(alice)... | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Paul is not funny. | neutral | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | ~funny(paul) | [] | null | 0 |
If lucy is both happy and not calm then john is kind.
If someone is both not kind and not rich then someone is creative or happy and vice versa.
Everyone who is both humble and not humble is either not generous or calm.
If paul is both not wise and kind then someone is creative or tall and vice versa.
If someone is bot... | Alice is humble. | neutral | (((happy(lucy)&~calm(lucy)))=>(kind(john)))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((humble(X)&~humble(X))=>(~generous(X)<~>calm(X))))&
(((~wise(paul)&kind(paul)))<=>(?[X]:((creative(X)|tall(X)))))&
((?[X]:((~humble(X)&~old(X))))=>((~funny(lucy)<~>~quiet(lucy))))&
((?[X]:((~generous(X)... | humble(alice) | [] | null | 0 |
Everyone who is both old and not old is quiet and vice versa. If someone is patient or not strong then mary is either not brave or not wise and vice versa. If alice is either strong or creative then someone is not generous or curious and vice versa. Everyone who is happy or not generous is either not brave or kind and ... | Alice is not quiet. | entailment | (![X]:((old(X)&~old(X))<=>quiet(X)))&
((?[X]:((patient(X)|~strong(X))))<=>((~brave(mary)<~>~wise(mary))))&
(((strong(alice)<~>creative(alice)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((happy(X)|~generous(X))<=>(~brave(X)<~>kind(X))))&
(((rich(paul)&~happy(paul)))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:(strong(X)=>... | ~quiet(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5525103128433224516398810
% SZS output start Proof for 5525103128433224516398810
1. ! [X0] : ((~old(X0) & old(X0)) <=> quiet(X0)) [input p0]
24. quiet(alice) [input hypothesis]
35. ! [X0] : (((~old(X0) & old(X0)) | ~quiet(X0)) & (quiet(X0) | (old(X0) | ~old(X0)))) [nnf transformation 1]
3... | 0 |
If john is either not strong or not old then john is brave and vice versa.
Everyone who is not strong or rich is both not rich and calm and vice versa.
If mary is either kind or strong then lucy is happy or brave.
If someone is either humble or not brave then alice is either not rich or not patient and vice versa.
If s... | John is not creative. | entailment | (((~strong(john)<~>~old(john)))<=>(brave(john)))&
(![X]:((~strong(X)|rich(X))<=>(~rich(X)&calm(X))))&
(((kind(mary)<~>strong(mary)))=>((happy(lucy)|brave(lucy))))&
((?[X]:((humble(X)<~>~brave(X))))<=>((~rich(alice)<~>~patient(alice))))&
((?[X]:(~tall(X)))=>((old(mary)&kind(mary))))&
((?[X]:((humble(X)<~>~old(X))))=>((g... | ~creative(john) | [
"p6",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3240357362473284234616473
% SZS output start Proof for 3240357362473284234616473
7. ! [X0] : ((patient(X0) & kind(X0)) <=> (~generous(X0) | strong(X0))) [input p6]
10. ! [X0] : ((quiet(X0) | calm(X0)) <=> (~funny(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=... | 0 |
Everyone who is not humble is both calm and not happy and vice versa.
If someone is not curious or not strong then fred is not funny.
If paul is both not funny and calm then susan is both not calm and not tall and vice versa.
Everyone who is creative or not calm is not tall or generous and vice versa.
If someone is not... | Fred is not brave. | contradiction | (![X]:(~humble(X)<=>(calm(X)&~happy(X))))&
((?[X]:((~curious(X)|~strong(X))))=>(~funny(fred)))&
(((~funny(paul)&calm(paul)))<=>((~calm(susan)&~tall(susan))))&
(![X]:((creative(X)|~calm(X))<=>(~tall(X)|generous(X))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:((happy(X)<~>rich(X)))))&
(![X]:((~brave(X)|humble(X))<=>(funny... | ~brave(fred) | [
"p1",
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 258919652602602697625026
% SZS output start Proof for 258919652602602697625026
2. ? [X0] : (~strong(X0) | ~curious(X0)) => ~funny(fred) [input p1]
6. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (creative(X0) & funny(X0))) [input p5]
13. ! [X0] : ((~humble(X0) & ~kind(X0)) <=> curious(X0)) [in... | 0 |
Everyone who is both not curious and rich is either strong or not generous and vice versa. If someone is both rich and not calm then lucy is either strong or curious. If mary is not wise then someone is not tall or kind. Everyone who is not humble is tall or not happy. If someone is both strong and quiet then susan is ... | Mary is not patient. | entailment | (![X]:((~curious(X)&rich(X))<=>(strong(X)<~>~generous(X))))&
((?[X]:((rich(X)&~calm(X))))=>((strong(lucy)<~>curious(lucy))))&
((~wise(mary))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(~humble(X)=>(tall(X)|~happy(X))))&
((?[X]:((strong(X)&quiet(X))))<=>(happy(susan)))&
(![X]:(quiet(X)=>(~wise(X)|~rich(X))))&
(![X]:((~rich(X)... | ~patient(mary) | [
"p7",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7321450377144408843485809
% SZS output start Proof for 7321450377144408843485809
8. ! [X0] : (brave(X0) <=> patient(X0)) [input p7]
9. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p8]
10. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p9]
14. ! [X0... | 0 |
Everyone who is kind or wise is either humble or not calm and vice versa.
If fred is brave or funny then someone is not tall or not strong and vice versa.
If susan is kind then fred is both not brave and not strong.
If someone is both brave and rich then lucy is not brave.
Everyone who is both not happy and not tall is... | Mary is kind. | entailment | (![X]:((kind(X)|wise(X))<=>(humble(X)<~>~calm(X))))&
(((brave(fred)|funny(fred)))<=>(?[X]:((~tall(X)|~strong(X)))))&
((kind(susan))=>((~brave(fred)&~strong(fred))))&
((?[X]:((brave(X)&rich(X))))=>(~brave(lucy)))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)|~creative(X))))&
(((~rich(john)&happy(john)))<=>(?[X]:((~tall(X)<~>~q... | kind(mary) | [
"p9",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7258898615455669326382978
% SZS output start Proof for 7258898615455669326382978
10. ! [X0] : (~curious(X0) <=> (~old(X0) & ~quiet(X0))) [input p9]
14. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (~kind(X0) | generous(X0))) [input p13]
16. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (calm(X0) | k... | 0 |
If fred is creative then someone is either not wise or not generous and vice versa.
Everyone who is not kind or happy is creative and vice versa.
Everyone who is calm is old or quiet.
Everyone who is rich is both patient and generous.
Everyone who is both rich and not generous is not curious.
If someone is curious then... | Fred is rich. | contradiction | ((creative(fred))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
(![X]:((~kind(X)|happy(X))<=>creative(X)))&
(![X]:(calm(X)=>(old(X)|quiet(X))))&
(![X]:(rich(X)=>(patient(X)&generous(X))))&
(![X]:((rich(X)&~generous(X))=>~curious(X)))&
((?[X]:(curious(X)))=>((quiet(mary)&~wise(mary))))&
(((old(alice)&strong(alice)))<=>(?[X]:((... | rich(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8013494127514475239712638
% SZS output start Proof for 8013494127514475239712638
20. ~rich(fred) [input p19]
25. rich(fred) [input hypothesis]
117. ~rich(fred) [cnf transformation 20]
124. rich(fred) [cnf transformation 25]
282. $false [subsumption resolution 124,117]
% SZS output end Pro... | 0 |
Everyone who is creative or not quiet is both brave and not old and vice versa.
Everyone who is quiet is curious.
If mary is both strong and not curious then someone is not humble or not brave and vice versa.
Everyone who is not happy or not brave is both not patient and not creative and vice versa.
Everyone who is bra... | Mary is quiet. | contradiction | (![X]:((creative(X)|~quiet(X))<=>(brave(X)&~old(X))))&
(![X]:(quiet(X)=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&
(![X]:(brave(X)<=>(~humble(X)|calm(X))))&
(![X]:((~old(X)<~>~brave(X))<=>kind(X)))&
((?[X]:((~strong(X)&... | quiet(mary) | [
"p1",
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8423281597469657719904747
% SZS output start Proof for 8423281597469657719904747
2. ! [X0] : (quiet(X0) => curious(X0)) [input p1]
3. (~curious(mary) & strong(mary)) <=> ? [X0] : (~brave(X0) | ~humble(X0)) [input p2]
17. ~funny(fred) & ~humble(fred) [input p16]
24. quiet(mary) [input hypo... | 0 |
Everyone who is either happy or not calm is both patient and not calm. If someone is either patient or quiet then paul is not generous or wise and vice versa. Everyone who is both strong and calm is both wise and happy and vice versa. If alice is both not quiet and generous then susan is either not humble or not brave.... | John is happy. | contradiction | (![X]:((happy(X)<~>~calm(X))=>(patient(X)&~calm(X))))&
((?[X]:((patient(X)<~>quiet(X))))<=>((~generous(paul)|wise(paul))))&
(![X]:((strong(X)&calm(X))<=>(wise(X)&happy(X))))&
(((~quiet(alice)&generous(alice)))=>((~humble(susan)<~>~brave(susan))))&
((quiet(alice))=>((~kind(lucy)|~curious(lucy))))&
(((~tall(alice)&~happy... | happy(john) | [
"p0",
"p2",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2420368734095846023999084
% SZS output start Proof for 2420368734095846023999084
1. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~calm(X0) & patient(X0))) [input p0]
3. ! [X0] : ((calm(X0) & strong(X0)) <=> (happy(X0) & wise(X0))) [input p2]
11. ! [X0] : ((strong(X0) & brave(X0)) <=> ~strong(X... | 0 |
Everyone who is both not wise and not generous is both funny and strong and vice versa. If john is either happy or kind then someone is both not happy and funny. If lucy is brave or wise then lucy is creative and vice versa. Everyone who is either not rich or generous is not creative or quiet. Everyone who is not old o... | Alice is not happy. | neutral | (![X]:((~wise(X)&~generous(X))<=>(funny(X)&strong(X))))&
(((happy(john)<~>kind(john)))=>(?[X]:((~happy(X)&funny(X)))))&
(((brave(lucy)|wise(lucy)))<=>(creative(lucy)))&
(![X]:((~rich(X)<~>generous(X))=>(~creative(X)|quiet(X))))&
(![X]:((~old(X)|~kind(X))=>(brave(X)&~calm(X))))&
((humble(paul))=>((old(alice)|strong(alic... | ~happy(alice) | [] | null | 0 |
If someone is either kind or not quiet then someone is both kind and generous and vice versa.
Everyone who is not rich is not happy or quiet.
Everyone who is not brave is either not quiet or not patient and vice versa.
If someone is generous then john is both not humble and generous.
Everyone who is not creative is not... | Susan is creative. | neutral | ((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((kind(X)&generous(X)))))&
(![X]:(~rich(X)=>(~happy(X)|quiet(X))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>~patient(X))))&
((?[X]:(generous(X)))=>((~humble(john)&generous(john))))&
(![X]:(~creative(X)<=>(~tall(X)|strong(X))))&
(![X]:((tall(X)|~happy(X))=>(~strong(X)|~tall(X))))&
(![X]:(... | creative(susan) | [] | null | 0 |
If susan is both not funny and generous then alice is either strong or not calm.
Everyone who is calm or not tall is not funny.
If paul is both tall and not brave then john is both not tall and generous.
If susan is either not rich or not brave then paul is not old or happy and vice versa.
Everyone who is not rich or c... | Alice is funny. | contradiction | (((~funny(susan)&generous(susan)))=>((strong(alice)<~>~calm(alice))))&
(![X]:((calm(X)|~tall(X))=>~funny(X)))&
(((tall(paul)&~brave(paul)))=>((~tall(john)&generous(john))))&
(((~rich(susan)<~>~brave(susan)))<=>((~old(paul)|happy(paul))))&
(![X]:((~rich(X)|calm(X))<=>~quiet(X)))&
((?[X]:((tall(X)&~kind(X))))<=>((~strong... | funny(alice) | [
"p1",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5173610555533416905515314
% SZS output start Proof for 5173610555533416905515314
2. ! [X0] : ((~tall(X0) | calm(X0)) => ~funny(X0)) [input p1]
8. ! [X0] : ((strong(X0) | ~quiet(X0)) => ~old(X0)) [input p7]
9. ! [X0] : ((generous(X0) & old(X0)) <=> tall(X0)) [input p8]
14. ! [X0] : ((~brav... | 0 |
Everyone who is brave or rich is both not wise and not brave and vice versa.
Everyone who is both old and generous is not tall or calm.
Everyone who is either not humble or calm is not happy or not kind and vice versa.
If someone is wise then susan is both rich and quiet.
Everyone who is not rich or not quiet is not ca... | Alice is wise. | contradiction | (![X]:((brave(X)|rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:((old(X)&generous(X))=>(~tall(X)|calm(X))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(![X]:((strong(X... | wise(alice) | [
"p0",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5473206276535941522423447
% SZS output start Proof for 5473206276535941522423447
1. ! [X0] : ((rich(X0) | brave(X0)) <=> (~brave(X0) & ~wise(X0))) [input p0]
4. ? [X0] : wise(X0) => (quiet(susan) & rich(susan)) [input p3]
5. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> (~brave(X0) | ~calm(X0)))... | 0 |
If mary is either not generous or humble then someone is not humble and vice versa.
If mary is both funny and generous then someone is wise or not strong.
If susan is not strong or not quiet then someone is not rich or curious.
Everyone who is wise is both not wise and not old and vice versa.
Everyone who is either not... | Lucy is calm. | neutral | (((~generous(mary)<~>humble(mary)))<=>(?[X]:(~humble(X))))&
(((funny(mary)&generous(mary)))=>(?[X]:((wise(X)|~strong(X)))))&
(((~strong(susan)|~quiet(susan)))=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:(wise(X)<=>(~wise(X)&~old(X))))&
(![X]:((~curious(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
((?[X]:((creative(X)&brave(X)))... | calm(lucy) | [] | null | 0 |
Everyone who is not creative is not creative or not quiet. If alice is not humble then someone is both rich and tall. Everyone who is patient or creative is either not quiet or rich and vice versa. Everyone who is quiet is calm or not tall. Everyone who is humble or not patient is not strong or not kind and vice versa.... | Susan is not strong. | neutral | (![X]:(~creative(X)=>(~creative(X)|~quiet(X))))&
((~humble(alice))=>(?[X]:((rich(X)&tall(X)))))&
(![X]:((patient(X)|creative(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:(quiet(X)=>(calm(X)|~tall(X))))&
(![X]:((humble(X)|~patient(X))<=>(~strong(X)|~kind(X))))&
(((~quiet(alice)|patient(alice)))=>(creative(lucy)))&
((?[X]:((~cal... | ~strong(susan) | [] | null | 0 |
Everyone who is curious or funny is not tall and vice versa. If fred is either not generous or kind then susan is either not patient or calm. If someone is either not wise or not quiet then someone is either not old or old and vice versa. Everyone who is either not calm or not rich is not rich. If alice is not kind the... | Mary is not happy. | neutral | (![X]:((curious(X)|funny(X))<=>~tall(X)))&
(((~generous(fred)<~>kind(fred)))=>((~patient(susan)<~>calm(susan))))&
((?[X]:((~wise(X)<~>~quiet(X))))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((~calm(X)<~>~rich(X))=>~rich(X)))&
((~kind(alice))<=>((~happy(susan)|~old(susan))))&
(((funny(paul)|~curious(paul)))<=>((~tall(mary)<~... | ~happy(mary) | [] | null | 0 |
Everyone who is not strong is not wise and vice versa. Everyone who is not brave or generous is not happy. If susan is curious then someone is either curious or humble and vice versa. Everyone who is either not patient or not old is not happy or not humble. Everyone who is happy or tall is either creative or not kind a... | Susan is creative. | entailment | (![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~brave(X)|generous(X))=>~happy(X)))&
((curious(susan))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((~patient(X)<~>~old(X))=>(~happy(X)|~humble(X))))&
(![X]:((happy(X)|tall(X))<=>(creative(X)<~>~kind(X))))&
(![X]:((calm(X)&~curious(X))<=>(~happy(X)|~generous(X))))&
(((strong(paul... | creative(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5405049063853985698782105
% SZS output start Proof for 5405049063853985698782105
1. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((generous(X0) | ~brave(X0)) => ~happy(X0)) [input p1]
3. curious(susan) <=> ? [X0] : (curious(X0) <~> humble(X0)) [input p2]
6. ! [X0] : ((~curi... | 0 |
If john is funny or not old then alice is not funny and vice versa. Everyone who is both quiet and happy is both not calm and not brave and vice versa. Everyone who is generous is either not quiet or not kind. Everyone who is tall or not happy is either not patient or not brave. Everyone who is either not brave or not ... | Alice is patient. | neutral | (((funny(john)|~old(john)))<=>(~funny(alice)))&
(![X]:((quiet(X)&happy(X))<=>(~calm(X)&~brave(X))))&
(![X]:(generous(X)=>(~quiet(X)<~>~kind(X))))&
(![X]:((tall(X)|~happy(X))=>(~patient(X)<~>~brave(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(~patient(X)|~funny(X))))&
(![X]:((patient(X)<~>~happy(X))<=>(calm(X)|~calm(X))))&
(... | patient(alice) | [] | null | 0 |
Everyone who is wise or old is both not kind and not creative.
Everyone who is both not kind and not old is either quiet or not funny.
Everyone who is either tall or old is both tall and not creative.
Everyone who is not generous is not creative.
If someone is quiet then someone is generous.
Everyone who is either not ... | Paul is rich. | neutral | (![X]:((wise(X)|old(X))=>(~kind(X)&~creative(X))))&
(![X]:((~kind(X)&~old(X))=>(quiet(X)<~>~funny(X))))&
(![X]:((tall(X)<~>old(X))=>(tall(X)&~creative(X))))&
(![X]:(~generous(X)=>~creative(X)))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~rich(X)<~>humble(X))<=>(tall(X)|~old(X))))&
(((kind(paul)|~patient(paul))... | rich(paul) | [] | null | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Lucy is wise. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | wise(lucy) | [] | null | 0 |
Everyone who is either calm or not calm is either tall or not kind.
If someone is both not tall and not old then someone is either happy or creative and vice versa.
Everyone who is not calm or curious is both calm and not generous and vice versa.
Everyone who is humble is not funny or not brave.
Everyone who is both ol... | Mary is not calm. | contradiction | (![X]:((calm(X)<~>~calm(X))=>(tall(X)<~>~kind(X))))&
((?[X]:((~tall(X)&~old(X))))<=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:((~calm(X)|curious(X))<=>(calm(X)&~generous(X))))&
(![X]:(humble(X)=>(~funny(X)|~brave(X))))&
(![X]:((old(X)&~creative(X))=>(~old(X)&generous(X))))&
(![X]:((patient(X)&quiet(X))<=>(strong(X)&~ri... | ~calm(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4531319876504380160796662
% SZS output start Proof for 4531319876504380160796662
3. ! [X0] : ((curious(X0) | ~calm(X0)) <=> (~generous(X0) & calm(X0))) [input p2]
25. ~calm(mary) [input hypothesis]
44. ! [X0] : (((curious(X0) | ~calm(X0)) | (generous(X0) | ~calm(X0))) & ((~generous(X0) & ... | 0 |
Everyone who is patient is not generous or generous. If mary is either not tall or tall then someone is either patient or humble and vice versa. If someone is either not curious or generous then lucy is not kind or not happy and vice versa. If someone is both not kind and not patient then someone is both curious and qu... | Fred is not rich. | entailment | (![X]:(patient(X)=>(~generous(X)|generous(X))))&
(((~tall(mary)<~>tall(mary)))<=>(?[X]:((patient(X)<~>humble(X)))))&
((?[X]:((~curious(X)<~>generous(X))))<=>((~kind(lucy)|~happy(lucy))))&
((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((curious(X)&quiet(X)))))&
((?[X]:(~humble(X)))<=>((brave(john)<~>rich(john))))&
(((~humble(... | ~rich(fred) | [
"p7",
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 286096874559006501035235
% SZS output start Proof for 286096874559006501035235
8. ? [X0] : (~tall(X0) & ~curious(X0)) <=> ? [X0] : (curious(X0) <~> ~old(X0)) [input p7]
9. ! [X0] : ((~brave(X0) | ~tall(X0)) => (curious(X0) & kind(X0))) [input p8]
15. ! [X0] : ((~patient(X0) | rich(X0)) =>... | 0 |
If mary is not happy then susan is humble or not creative and vice versa. Everyone who is either patient or brave is not calm and vice versa. Everyone who is not humble is either happy or not wise. If someone is either curious or happy then someone is both humble and not calm. If someone is not rich then someone is eit... | John is calm. | contradiction | ((~happy(mary))<=>((humble(susan)|~creative(susan))))&
(![X]:((patient(X)<~>brave(X))<=>~calm(X)))&
(![X]:(~humble(X)=>(happy(X)<~>~wise(X))))&
((?[X]:((curious(X)<~>happy(X))))=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:((~strong(X)<~>rich(X)))))&
(((~funny(john)<~>happy(john)))=>(?[X]:((rich(X)|~tall... | calm(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2921907234293998729335371
% SZS output start Proof for 2921907234293998729335371
11. ! [X0] : ((~calm(X0) & ~quiet(X0)) <=> calm(X0)) [input p10]
25. calm(john) [input hypothesis]
62. ! [X0] : (((~calm(X0) & ~quiet(X0)) | ~calm(X0)) & (calm(X0) | (calm(X0) | quiet(X0)))) [nnf transformati... | 0 |
If fred is either generous or not creative then someone is both not happy and patient.
If alice is not kind then john is not patient.
If someone is both not tall and humble then john is both quiet and not quiet.
Everyone who is not calm is both calm and funny and vice versa.
If john is both not rich and happy then some... | Alice is not patient. | neutral | (((generous(fred)<~>~creative(fred)))=>(?[X]:((~happy(X)&patient(X)))))&
((~kind(alice))=>(~patient(john)))&
((?[X]:((~tall(X)&humble(X))))=>((quiet(john)&~quiet(john))))&
(![X]:(~calm(X)<=>(calm(X)&funny(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((~funny(X)|~happy(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(generou... | ~patient(alice) | [] | null | 0 |
Everyone who is both rich and not wise is both not kind and not curious.
Everyone who is both tall and calm is not wise.
If someone is not creative then someone is both funny and not strong.
Everyone who is either not happy or quiet is both not rich and not funny and vice versa.
If someone is both creative and curious ... | Susan is not patient. | neutral | (![X]:((rich(X)&~wise(X))=>(~kind(X)&~curious(X))))&
(![X]:((tall(X)&calm(X))=>~wise(X)))&
((?[X]:(~creative(X)))=>(?[X]:((funny(X)&~strong(X)))))&
(![X]:((~happy(X)<~>quiet(X))<=>(~rich(X)&~funny(X))))&
((?[X]:((creative(X)&curious(X))))=>(?[X]:((~brave(X)&calm(X)))))&
(((~patient(susan)|curious(susan)))=>(old(alice))... | ~patient(susan) | [] | null | 0 |
If someone is funny then lucy is kind or not patient.
If someone is either wise or tall then someone is not quiet and vice versa.
If someone is both funny and calm then someone is brave or not kind and vice versa.
Everyone who is both not patient and not generous is either humble or not kind.
Everyone who is either cre... | Susan is not brave. | entailment | ((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))&
((?[X]:((wise(X)<~>tall(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((funny(X)&calm(X))))<=>(?[X]:((brave(X)|~kind(X)))))&
(![X]:((~patient(X)&~generous(X))=>(humble(X)<~>~kind(X))))&
(![X]:((creative(X)<~>~old(X))=>(old(X)&~kind(X))))&
(((~kind(john)&funny(john)))=>((wise(su... | ~brave(susan) | [
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6142204296589141521308918
% SZS output start Proof for 6142204296589141521308918
9. ! [X0] : (~tall(X0) <=> ~creative(X0)) [input p8]
14. ~tall(lucy) <=> ? [X0] : brave(X0) [input p13]
16. ! [X0] : ((~curious(X0) | ~creative(X0)) => tall(X0)) [input p15]
24. brave(susan) [input hypothesis... | 0 |
If mary is either not calm or not creative then someone is generous or not funny.
If someone is not curious then susan is not happy or not curious and vice versa.
Everyone who is either strong or not humble is either not funny or not humble.
If someone is wise or kind then fred is not patient and vice versa.
If someone... | Lucy is not tall. | entailment | (((~calm(mary)<~>~creative(mary)))=>(?[X]:((generous(X)|~funny(X)))))&
((?[X]:(~curious(X)))<=>((~happy(susan)|~curious(susan))))&
(![X]:((strong(X)<~>~humble(X))=>(~funny(X)<~>~humble(X))))&
((?[X]:((wise(X)|kind(X))))<=>(~patient(fred)))&
((?[X]:((~strong(X)|happy(X))))<=>((calm(fred)<~>~kind(fred))))&
(![X]:((humble... | ~tall(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3375519547001586689836423
% SZS output start Proof for 3375519547001586689836423
15. ! [X0] : ((tall(X0) | ~calm(X0)) <=> (generous(X0) & ~tall(X0))) [input p14]
24. tall(lucy) [input hypothesis]
66. ! [X0] : (((tall(X0) | ~calm(X0)) | (~generous(X0) | tall(X0))) & ((generous(X0) & ~tall(... | 0 |
Everyone who is not strong is not strong or quiet.
Everyone who is generous is both not happy and not brave.
If lucy is either not patient or wise then someone is not generous.
If someone is strong then someone is either not funny or not creative.
Everyone who is both not patient and calm is either humble or not strong... | Lucy is funny. | contradiction | (![X]:(~strong(X)=>(~strong(X)|quiet(X))))&
(![X]:(generous(X)=>(~happy(X)&~brave(X))))&
(((~patient(lucy)<~>wise(lucy)))=>(?[X]:(~generous(X))))&
((?[X]:(strong(X)))=>(?[X]:((~funny(X)<~>~creative(X)))))&
(![X]:((~patient(X)&calm(X))=>(humble(X)<~>~strong(X))))&
(![X]:((~rich(X)|~quiet(X))<=>generous(X)))&
((?[X]:((hu... | funny(lucy) | [
"p1",
"p5",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8987634366505389836757094
% SZS output start Proof for 8987634366505389836757094
2. ! [X0] : (generous(X0) => (~brave(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> generous(X0)) [input p5]
9. ! [X0] : (~patient(X0) <=> (~strong(X0) & happy(X0))) [input p8]
11. ! ... | 0 |
If paul is calm then lucy is both brave and generous and vice versa.
Everyone who is not wise is not funny.
Everyone who is both kind and not happy is either not curious or not quiet and vice versa.
If someone is either funny or brave then someone is not wise or happy.
Everyone who is patient is both not calm and creat... | Lucy is generous. | entailment | ((calm(paul))<=>((brave(lucy)&generous(lucy))))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((kind(X)&~happy(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((funny(X)<~>brave(X))))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:(patient(X)<=>(~calm(X)&creative(X))))&
(![X]:((~calm(X)|creative(X))<=>(funny(X)&~quiet(X))))&
(![X]:((quiet(X)|... | generous(lucy) | [
"p0",
"p1",
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3225329843407387657402840
% SZS output start Proof for 3225329843407387657402840
1. calm(paul) <=> (generous(lucy) & brave(lucy)) [input p0]
2. ! [X0] : (~wise(X0) => ~funny(X0)) [input p1]
6. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (~quiet(X0) & funny(X0))) [input p5]
8. ! [X0] : ((brav... | 0 |
Everyone who is both not kind and wise is happy or not strong and vice versa.
Everyone who is both not calm and not wise is both not old and old and vice versa.
If lucy is happy then someone is strong or not kind.
If someone is both not brave and strong then susan is not happy or tall and vice versa.
If someone is eith... | Lucy is not tall. | entailment | (![X]:((~kind(X)&wise(X))<=>(happy(X)|~strong(X))))&
(![X]:((~calm(X)&~wise(X))<=>(~old(X)&old(X))))&
((happy(lucy))=>(?[X]:((strong(X)|~kind(X)))))&
((?[X]:((~brave(X)&strong(X))))<=>((~happy(susan)|tall(susan))))&
((?[X]:((curious(X)<~>brave(X))))=>(?[X]:((~happy(X)|~curious(X)))))&
((?[X]:((~tall(X)<~>~kind(X))))<=>... | ~tall(lucy) | [
"p0",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3718160419385654230236504
% SZS output start Proof for 3718160419385654230236504
1. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (~strong(X0) | happy(X0))) [input p0]
9. ! [X0] : ((happy(X0) & strong(X0)) <=> (curious(X0) <~> ~strong(X0))) [input p8]
11. ! [X0] : (patient(X0) => ~patient(X0)) [in... | 0 |
Everyone who is generous is either not generous or not tall and vice versa.
If lucy is not wise or quiet then someone is either not happy or not calm and vice versa.
If someone is not old then someone is either not generous or not strong.
Everyone who is both not old and strong is not creative or not wise and vice vers... | Mary is calm. | contradiction | (![X]:(generous(X)<=>(~generous(X)<~>~tall(X))))&
(((~wise(lucy)|quiet(lucy)))<=>(?[X]:((~happy(X)<~>~calm(X)))))&
((?[X]:(~old(X)))=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((~old(X)&strong(X))<=>(~creative(X)|~wise(X))))&
((old(mary))<=>((~kind(alice)|~old(alice))))&
(![X]:((brave(X)|wise(X))<=>(~curious(X)|~kin... | calm(mary) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8686918838684129022985055
% SZS output start Proof for 8686918838684129022985055
1. ! [X0] : (generous(X0) <=> (~generous(X0) <~> ~tall(X0))) [input p0]
13. ? [X0] : (tall(X0) & ~patient(X0)) <=> (generous(mary) | calm(mary)) [input p12]
25. calm(mary) [input hypothesis]
36. ! [X0] : ((ge... | 0 |
If someone is not brave or quiet then alice is not funny or happy.
If someone is either not happy or not calm then paul is both not calm and not rich and vice versa.
If mary is both funny and not wise then someone is either curious or not tall and vice versa.
Everyone who is creative is both not old and not generous an... | Fred is not wise. | contradiction | ((?[X]:((~brave(X)|quiet(X))))=>((~funny(alice)|happy(alice))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((~calm(paul)&~rich(paul))))&
(((funny(mary)&~wise(mary)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:(creative(X)<=>(~old(X)&~generous(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(generous(X)&wise(X))))&
(![X]:((~calm(X)&~gene... | ~wise(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5889759028785186350498345
% SZS output start Proof for 5889759028785186350498345
5. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (wise(X0) & generous(X0))) [input p4]
21. ~wise(fred) [input hypothesis]
46. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) | (~wise(X0) | ~generous(X0)... | 0 |
Everyone who is rich is not wise or not calm.
Everyone who is both not quiet and quiet is not wise and vice versa.
If fred is both not curious and not funny then paul is either humble or not generous.
Everyone who is not calm or not brave is not humble or humble.
Everyone who is both patient and humble is not strong or... | Lucy is humble. | entailment | (![X]:(rich(X)=>(~wise(X)|~calm(X))))&
(![X]:((~quiet(X)&quiet(X))<=>~wise(X)))&
(((~curious(fred)&~funny(fred)))=>((humble(paul)<~>~generous(paul))))&
(![X]:((~calm(X)|~brave(X))=>(~humble(X)|humble(X))))&
(![X]:((patient(X)&humble(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((~creative(X)&~calm(X))))=>(?[X]:((humble(X)<~>q... | humble(lucy) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5742012627415288487375530
% SZS output start Proof for 5742012627415288487375530
5. ! [X0] : ((humble(X0) & patient(X0)) <=> (~kind(X0) | ~strong(X0))) [input p4]
23. ~kind(lucy) [input p22]
24. ~humble(lucy) [input hypothesis]
45. ! [X0] : (((humble(X0) & patient(X0)) | (kind(X0) & stron... | 0 |
If fred is calm then lucy is either rich or not strong.
If mary is strong then alice is curious or not brave and vice versa.
Everyone who is either not wise or not calm is either funny or not curious.
Everyone who is both not tall and not wise is not old or quiet and vice versa.
Everyone who is either generous or old i... | Alice is rich. | contradiction | ((calm(fred))=>((rich(lucy)<~>~strong(lucy))))&
((strong(mary))<=>((curious(alice)|~brave(alice))))&
(![X]:((~wise(X)<~>~calm(X))=>(funny(X)<~>~curious(X))))&
(![X]:((~tall(X)&~wise(X))<=>(~old(X)|quiet(X))))&
(![X]:((generous(X)<~>old(X))<=>(humble(X)<~>quiet(X))))&
(![X]:(~tall(X)=>patient(X)))&
((?[X]:((~strong(X)<~... | rich(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5939188586477834970549701
% SZS output start Proof for 5939188586477834970549701
12. ! [X0] : ((~rich(X0) | ~old(X0)) <=> old(X0)) [input p11]
25. rich(alice) [input hypothesis]
47. ! [X0] : (((~rich(X0) | ~old(X0)) | ~old(X0)) & (old(X0) | (rich(X0) & old(X0)))) [nnf transformation 12]
4... | 0 |
Everyone who is not happy or rich is either not wise or not curious and vice versa.
Everyone who is both not brave and wise is both humble and not old.
Everyone who is both not happy and not funny is either not creative or not strong.
If someone is not generous or quiet then someone is both not patient and not quiet.
I... | Fred is not tall. | entailment | (![X]:((~happy(X)|rich(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~brave(X)&wise(X))=>(humble(X)&~old(X))))&
(![X]:((~happy(X)&~funny(X))=>(~creative(X)<~>~strong(X))))&
((?[X]:((~generous(X)|quiet(X))))=>(?[X]:((~patient(X)&~quiet(X)))))&
(((~kind(lucy)<~>old(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)|creative(X))=... | ~tall(fred) | [
"p3",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5278425192894308466930189
% SZS output start Proof for 5278425192894308466930189
4. ? [X0] : (quiet(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) & ~patient(X0)) [input p3]
13. ! [X0] : ((~strong(X0) | ~patient(X0)) => (patient(X0) <~> tall(X0))) [input p12]
16. ! [X0] : ((~rich(X0) | tall... | 0 |
Everyone who is not generous is curious and vice versa.
Everyone who is either quiet or humble is both not funny and not humble and vice versa.
If someone is either not funny or not strong then someone is creative or not calm and vice versa.
Everyone who is quiet is either creative or strong.
Everyone who is either tal... | Alice is not curious. | entailment | (![X]:(~generous(X)<=>curious(X)))&
(![X]:((quiet(X)<~>humble(X))<=>(~funny(X)&~humble(X))))&
((?[X]:((~funny(X)<~>~strong(X))))<=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:(quiet(X)=>(creative(X)<~>strong(X))))&
(![X]:((tall(X)<~>curious(X))=>rich(X)))&
(![X]:((~strong(X)&old(X))<=>generous(X)))&
(((~quiet(mary)&~rich(m... | ~curious(alice) | [
"p0",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3471606137600042569548564
% SZS output start Proof for 3471606137600042569548564
1. ! [X0] : (~generous(X0) <=> curious(X0)) [input p0]
6. ! [X0] : ((old(X0) & ~strong(X0)) <=> generous(X0)) [input p5]
8. ! [X0] : ((strong(X0) & old(X0)) <=> (~generous(X0) & ~old(X0))) [input p7]
25. curi... | 0 |
Everyone who is not curious or tall is either not creative or not curious.
If someone is not creative then someone is not generous or strong.
If someone is both not brave and not quiet then alice is not patient.
Everyone who is both not patient and tall is both funny and patient and vice versa.
If fred is both brave an... | Paul is wise. | entailment | (![X]:((~curious(X)|tall(X))=>(~creative(X)<~>~curious(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~generous(X)|strong(X)))))&
((?[X]:((~brave(X)&~quiet(X))))=>(~patient(alice)))&
(![X]:((~patient(X)&tall(X))<=>(funny(X)&patient(X))))&
(((brave(fred)&~calm(fred)))<=>(wise(susan)))&
(![X]:((~creative(X)|~strong(X))=>(generou... | wise(paul) | [
"p0",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8299075753603296673889744
% SZS output start Proof for 8299075753603296673889744
1. ! [X0] : ((tall(X0) | ~curious(X0)) => (~creative(X0) <~> ~curious(X0))) [input p0]
7. ! [X0] : (wise(X0) <=> (~old(X0) | curious(X0))) [input p6]
14. ! [X0] : ((creative(X0) & ~generous(X0)) <=> wise(X0))... | 0 |
Everyone who is either kind or rich is both wise and not brave.
If someone is both not happy and not old then someone is both brave and not calm.
Everyone who is both not happy and patient is both strong and rich.
If someone is either patient or not rich then fred is either not generous or wise and vice versa.
Everyone... | Fred is not generous. | neutral | (![X]:((kind(X)<~>rich(X))=>(wise(X)&~brave(X))))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((brave(X)&~calm(X)))))&
(![X]:((~happy(X)&patient(X))=>(strong(X)&rich(X))))&
((?[X]:((patient(X)<~>~rich(X))))<=>((~generous(fred)<~>wise(fred))))&
(![X]:((generous(X)<~>~curious(X))<=>(calm(X)<~>generous(X))))&
(![X]:((strong(X)&... | ~generous(fred) | [] | null | 0 |
Everyone who is not rich or happy is not curious and vice versa. If someone is not calm then lucy is not rich or not creative and vice versa. If someone is not kind then fred is both not humble and not generous and vice versa. Everyone who is both not humble and rich is old and vice versa. If someone is not tall then s... | Fred is not tall. | entailment | (![X]:((~rich(X)|happy(X))<=>~curious(X)))&
((?[X]:(~calm(X)))<=>((~rich(lucy)|~creative(lucy))))&
((?[X]:(~kind(X)))<=>((~humble(fred)&~generous(fred))))&
(![X]:((~humble(X)&rich(X))<=>old(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((funny(X)&~old(X)))))&
((?[X]:((tall(X)|generous(X))))=>(rich(paul)))&
(![X]:((wise(X)|~happy(X)... | ~tall(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6210676053940078286978787
% SZS output start Proof for 6210676053940078286978787
19. ~tall(fred) & ~patient(fred) [input p18]
25. tall(fred) [input hypothesis]
127. ~tall(fred) [cnf transformation 19]
137. tall(fred) [cnf transformation 25]
274. $false [subsumption resolution 137,127]
% S... | 0 |
Everyone who is not curious is generous or not patient.
Everyone who is not kind is both not curious and not generous.
If someone is either not kind or not tall then someone is either curious or not wise and vice versa.
Everyone who is funny or not wise is tall.
If someone is both old and creative then someone is not s... | Susan is not old. | contradiction | (![X]:(~curious(X)=>(generous(X)|~patient(X))))&
(![X]:(~kind(X)=>(~curious(X)&~generous(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(![X]:((funny(X)|~wise(X))=>tall(X)))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~strong(X)|~patient(X)))))&
(((tall(mary)|humble(mary)))<=>(?[X]:((strong(X... | ~old(susan) | [
"p1",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4004698137088162944223301
% SZS output start Proof for 4004698137088162944223301
2. ! [X0] : (~kind(X0) => (~generous(X0) & ~curious(X0))) [input p1]
7. ! [X0] : (~kind(X0) <=> happy(X0)) [input p6]
11. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> ~curious(X0)) [input p10]
13. ? [X0] : (quiet(... | 0 |
If alice is not generous or not wise then paul is either not patient or happy and vice versa.
Everyone who is either quiet or not generous is either not brave or not funny.
If someone is happy then alice is not strong.
Everyone who is funny is not patient or wise and vice versa.
Everyone who is both tall and not wise i... | Lucy is kind. | contradiction | (((~generous(alice)|~wise(alice)))<=>((~patient(paul)<~>happy(paul))))&
(![X]:((quiet(X)<~>~generous(X))=>(~brave(X)<~>~funny(X))))&
((?[X]:(happy(X)))=>(~strong(alice)))&
(![X]:(funny(X)<=>(~patient(X)|wise(X))))&
(![X]:((tall(X)&~wise(X))<=>~wise(X)))&
((?[X]:(~patient(X)))=>((tall(alice)<~>curious(alice))))&
(![X]:(... | kind(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3465883853513753833185122
% SZS output start Proof for 3465883853513753833185122
19. ~kind(lucy) & ~quiet(lucy) [input p18]
25. kind(lucy) [input hypothesis]
119. ~kind(lucy) [cnf transformation 19]
129. kind(lucy) [cnf transformation 25]
274. $false [subsumption resolution 129,119]
% SZS... | 0 |
Everyone who is either not generous or not tall is humble.
If susan is either tall or not funny then fred is not creative.
Everyone who is both not humble and not curious is both not brave and not quiet.
Everyone who is wise is humble and vice versa.
If someone is not old then susan is both not strong and generous.
Eve... | John is calm. | neutral | (![X]:((~generous(X)<~>~tall(X))=>humble(X)))&
(((tall(susan)<~>~funny(susan)))=>(~creative(fred)))&
(![X]:((~humble(X)&~curious(X))=>(~brave(X)&~quiet(X))))&
(![X]:(wise(X)<=>humble(X)))&
((?[X]:(~old(X)))=>((~strong(susan)&generous(susan))))&
(![X]:(strong(X)=>(~wise(X)|old(X))))&
(![X]:((~strong(X)<~>happy(X))<=>fun... | calm(john) | [] | null | 0 |
Everyone who is humble or quiet is both not calm and funny and vice versa.
Everyone who is strong is either not creative or happy.
If fred is both patient and funny then someone is either tall or strong and vice versa.
If someone is both calm and happy then mary is both wise and generous and vice versa.
If paul is not ... | Fred is not strong. | entailment | (![X]:((humble(X)|quiet(X))<=>(~calm(X)&funny(X))))&
(![X]:(strong(X)=>(~creative(X)<~>happy(X))))&
(((patient(fred)&funny(fred)))<=>(?[X]:((tall(X)<~>strong(X)))))&
((?[X]:((calm(X)&happy(X))))<=>((wise(mary)&generous(mary))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(~rich(X)<=>tall(X)))&... | ~strong(fred) | [
"p5",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6651479843228784456113322
% SZS output start Proof for 6651479843228784456113322
6. ! [X0] : (~rich(X0) <=> tall(X0)) [input p5]
7. ! [X0] : (~tall(X0) <=> (patient(X0) | creative(X0))) [input p6]
13. ! [X0] : (tall(X0) => (~funny(X0) & ~wise(X0))) [input p12]
15. ! [X0] : ((patient(X0) |... | 0 |
Everyone who is not curious is both not brave and not wise. Everyone who is either not old or quiet is kind and vice versa. Everyone who is both not calm and calm is either not rich or not patient. Everyone who is both not quiet and not rich is both generous and curious. If someone is both kind and not old then someone... | Fred is wise. | neutral | (![X]:(~curious(X)=>(~brave(X)&~wise(X))))&
(![X]:((~old(X)<~>quiet(X))<=>kind(X)))&
(![X]:((~calm(X)&calm(X))=>(~rich(X)<~>~patient(X))))&
(![X]:((~quiet(X)&~rich(X))=>(generous(X)&curious(X))))&
((?[X]:((kind(X)&~old(X))))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((creative(X)<~>tall(X))=>(funny(X)<~>~happy(X))))&
(((... | wise(fred) | [] | null | 0 |
If mary is either not creative or creative then someone is both not quiet and humble.
Everyone who is not quiet is calm and vice versa.
If someone is either not wise or old then lucy is not quiet or not humble.
If someone is not calm or not curious then john is either not happy or not brave and vice versa.
Everyone who... | Susan is patient. | neutral | (((~creative(mary)<~>creative(mary)))=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:(~quiet(X)<=>calm(X)))&
((?[X]:((~wise(X)<~>old(X))))=>((~quiet(lucy)|~humble(lucy))))&
((?[X]:((~calm(X)|~curious(X))))<=>((~happy(john)<~>~brave(john))))&
(![X]:((kind(X)<~>humble(X))<=>(patient(X)&~old(X))))&
(![X]:(happy(X)<=>~funny(X)))&... | patient(susan) | [] | null | 0 |
If someone is either strong or not wise then someone is either generous or not strong and vice versa.
If someone is not strong then alice is calm or not wise.
If someone is either not patient or not strong then someone is either not rich or tall.
If susan is calm or not tall then lucy is both generous and happy and vic... | Fred is quiet. | entailment | ((?[X]:((strong(X)<~>~wise(X))))<=>(?[X]:((generous(X)<~>~strong(X)))))&
((?[X]:(~strong(X)))=>((calm(alice)|~wise(alice))))&
((?[X]:((~patient(X)<~>~strong(X))))=>(?[X]:((~rich(X)<~>tall(X)))))&
(((calm(susan)|~tall(susan)))<=>((generous(lucy)&happy(lucy))))&
(((happy(lucy)<~>~humble(lucy)))<=>(?[X]:((~curious(X)|~kin... | quiet(fred) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 775523569250681232535718
% SZS output start Proof for 775523569250681232535718
16. ! [X0] : ((tall(X0) | ~happy(X0)) => quiet(X0)) [input p15]
23. ~happy(fred) & curious(fred) [input p22]
25. ~quiet(fred) [input hypothesis]
38. ! [X0] : (quiet(X0) | (~tall(X0) & happy(X0))) [ennf transfor... | 0 |
If someone is brave or wise then lucy is either calm or quiet and vice versa.
Everyone who is not strong or happy is either not kind or kind and vice versa.
Everyone who is either not brave or not tall is patient and vice versa.
Everyone who is not rich is quiet and vice versa.
Everyone who is strong or old is not happ... | Lucy is old. | entailment | ((?[X]:((brave(X)|wise(X))))<=>((calm(lucy)<~>quiet(lucy))))&
(![X]:((~strong(X)|happy(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((~brave(X)<~>~tall(X))<=>patient(X)))&
(![X]:(~rich(X)<=>quiet(X)))&
(![X]:((strong(X)|old(X))=>~happy(X)))&
(![X]:((~quiet(X)|wise(X))<=>(generous(X)|brave(X))))&
((old(fred))<=>(?[X]:((~patient(... | old(lucy) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7870197596741582624126859
% SZS output start Proof for 7870197596741582624126859
13. ! [X0] : ((~old(X0) <~> ~quiet(X0)) <=> (~quiet(X0) | ~curious(X0))) [input p12]
16. ! [X0] : (curious(X0) <=> (quiet(X0) | strong(X0))) [input p15]
22. ~old(lucy) [input hypothesis]
63. ! [X0] : ((((quie... | 0 |
If fred is either not creative or patient then lucy is either strong or not brave and vice versa. Everyone who is old is not humble and vice versa. If someone is either not wise or not funny then susan is both not creative and creative. Everyone who is not patient is curious or not curious. Everyone who is rich is old ... | Susan is not humble. | contradiction | (((~creative(fred)<~>patient(fred)))<=>((strong(lucy)<~>~brave(lucy))))&
(![X]:(old(X)<=>~humble(X)))&
((?[X]:((~wise(X)<~>~funny(X))))=>((~creative(susan)&creative(susan))))&
(![X]:(~patient(X)=>(curious(X)|~curious(X))))&
(![X]:(rich(X)<=>old(X)))&
(((~curious(alice)|old(alice)))=>(?[X]:((calm(X)&~strong(X)))))&
(((~... | ~humble(susan) | [
"p1",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 742272306623507753119895
% SZS output start Proof for 742272306623507753119895
2. ! [X0] : (old(X0) <=> ~humble(X0)) [input p1]
9. ! [X0] : (~old(X0) => (~funny(X0) & calm(X0))) [input p8]
10. ! [X0] : ((~patient(X0) & old(X0)) => (happy(X0) <~> ~curious(X0))) [input p9]
11. ! [X0] : ((fu... | 0 |
If someone is creative then someone is not humble and vice versa. If susan is quiet then john is not funny or happy. Everyone who is funny or curious is either not quiet or not kind. Everyone who is both funny and generous is either quiet or not old. If someone is both not quiet and patient then mary is quiet or happy.... | Paul is not happy. | entailment | ((?[X]:(creative(X)))<=>(?[X]:(~humble(X))))&
((quiet(susan))=>((~funny(john)|happy(john))))&
(![X]:((funny(X)|curious(X))=>(~quiet(X)<~>~kind(X))))&
(![X]:((funny(X)&generous(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~quiet(X)&patient(X))))=>((quiet(mary)|happy(mary))))&
((?[X]:((wise(X)|tall(X))))=>(?[X]:((creative(X)|~c... | ~happy(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2307397721749998282348551
% SZS output start Proof for 2307397721749998282348551
16. ! [X0] : ((happy(X0) | ~tall(X0)) => ~happy(X0)) [input p15]
25. happy(paul) [input hypothesis]
38. ! [X0] : (~happy(X0) | (~happy(X0) & tall(X0))) [ennf transformation 16]
140. ~happy(X0) | ~happy(X0) [c... | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is either patient or generous then paul is quiet and vice versa.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is funny is both r... | Susan is happy. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((patient(X)<~>generous(X))))<=>(quiet(paul)))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~stro... | happy(susan) | [
"p1",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 712557753367708418248161
% SZS output start Proof for 712557753367708418248161
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
6. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p5]
8. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p7]
9. ! [X0] : ((humb... | 0 |
Everyone who is either not quiet or not creative is wise or generous.
Everyone who is both rich and happy is either happy or not happy.
Everyone who is not old is both not curious and old and vice versa.
Everyone who is patient is either kind or curious.
If someone is both strong and not kind then lucy is either not cr... | Alice is not strong. | entailment | (![X]:((~quiet(X)<~>~creative(X))=>(wise(X)|generous(X))))&
(![X]:((rich(X)&happy(X))=>(happy(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(~curious(X)&old(X))))&
(![X]:(patient(X)=>(kind(X)<~>curious(X))))&
((?[X]:((strong(X)&~kind(X))))<=>((~creative(lucy)<~>quiet(lucy))))&
(![X]:((generous(X)&strong(X))<=>(creative(X)|wise(X... | ~strong(alice) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2885949990829163213161523
% SZS output start Proof for 2885949990829163213161523
3. ! [X0] : (~old(X0) <=> (old(X0) & ~curious(X0))) [input p2]
22. strong(alice) <~> old(alice) [input p21]
23. strong(alice) [input hypothesis]
41. ! [X0] : ((~old(X0) | (~old(X0) | curious(X0))) & ((old(X0)... | 0 |
Everyone who is not strong or not curious is not rich or humble.
Everyone who is kind or creative is both generous and humble.
Everyone who is either not quiet or not happy is either generous or not patient.
Everyone who is brave is either not quiet or not patient and vice versa.
Everyone who is both not patient and qu... | Lucy is tall. | contradiction | (![X]:((~strong(X)|~curious(X))=>(~rich(X)|humble(X))))&
(![X]:((kind(X)|creative(X))=>(generous(X)&humble(X))))&
(![X]:((~quiet(X)<~>~happy(X))=>(generous(X)<~>~patient(X))))&
(![X]:(brave(X)<=>(~quiet(X)<~>~patient(X))))&
(![X]:((~patient(X)&quiet(X))<=>(~old(X)&~tall(X))))&
(((~curious(john)&~funny(john)))<=>((brave... | tall(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8657717997531895884871242
% SZS output start Proof for 8657717997531895884871242
7. ! [X0] : ((creative(X0) | tall(X0)) <=> (~tall(X0) & old(X0))) [input p6]
25. tall(lucy) [input hypothesis]
42. ! [X0] : (((creative(X0) | tall(X0)) | (tall(X0) | ~old(X0))) & ((~tall(X0) & old(X0)) | (~cr... | 0 |
Everyone who is not generous or not curious is not quiet or patient.
If someone is not tall or not curious then john is kind or calm.
Everyone who is not calm or funny is both not curious and not quiet.
If someone is both patient and strong then someone is either not tall or strong and vice versa.
If someone is creativ... | Paul is not tall. | contradiction | (![X]:((~generous(X)|~curious(X))=>(~quiet(X)|patient(X))))&
((?[X]:((~tall(X)|~curious(X))))=>((kind(john)|calm(john))))&
(![X]:((~calm(X)|funny(X))=>(~curious(X)&~quiet(X))))&
((?[X]:((patient(X)&strong(X))))<=>(?[X]:((~tall(X)<~>strong(X)))))&
((?[X]:(creative(X)))=>(?[X]:((~happy(X)|~old(X)))))&
((?[X]:((old(X)&~hu... | ~tall(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2579967228150118043881341
% SZS output start Proof for 2579967228150118043881341
23. tall(paul) & ~funny(paul) [input p22]
25. ~tall(paul) [input hypothesis]
131. tall(paul) [cnf transformation 23]
134. ~tall(paul) [cnf transformation 25]
276. $false [subsumption resolution 134,131]
% SZS... | 0 |
If fred is either generous or not creative then someone is both not happy and patient.
If alice is not kind then john is not patient.
If someone is both not tall and humble then john is both quiet and not quiet.
Everyone who is not calm is both calm and funny and vice versa.
If john is both not rich and happy then some... | Mary is humble. | neutral | (((generous(fred)<~>~creative(fred)))=>(?[X]:((~happy(X)&patient(X)))))&
((~kind(alice))=>(~patient(john)))&
((?[X]:((~tall(X)&humble(X))))=>((quiet(john)&~quiet(john))))&
(![X]:(~calm(X)<=>(calm(X)&funny(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((~funny(X)|~happy(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(generou... | humble(mary) | [] | null | 0 |
If fred is either humble or not old then someone is either humble or not creative and vice versa.
If paul is generous or calm then someone is calm.
Everyone who is not patient is both not humble and not funny.
If john is both curious and humble then alice is kind or old and vice versa.
If someone is not calm then alice... | Alice is not brave. | contradiction | (((humble(fred)<~>~old(fred)))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(((generous(paul)|calm(paul)))=>(?[X]:(calm(X))))&
(![X]:(~patient(X)=>(~humble(X)&~funny(X))))&
(((curious(john)&humble(john)))<=>((kind(alice)|old(alice))))&
((?[X]:(~calm(X)))=>((~rich(alice)|brave(alice))))&
((?[X]:((~funny(X)<~>humble(X))))<=>(... | ~brave(alice) | [
"p4",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8488015113488230868630666
% SZS output start Proof for 8488015113488230868630666
5. ? [X0] : ~calm(X0) => (brave(alice) | ~rich(alice)) [input p4]
18. strong(alice) & rich(alice) [input p17]
20. ? [X0] : (~calm(X0) & curious(X0)) [input p19]
25. ~brave(alice) [input hypothesis]
31. (brave... | 0 |
If fred is both humble and not brave then mary is both kind and wise and vice versa. If someone is funny or not tall then someone is either strong or patient. Everyone who is either calm or wise is generous or not calm. Everyone who is both kind and humble is creative or calm. If susan is not tall or brave then mary is... | Susan is rich. | neutral | (((humble(fred)&~brave(fred)))<=>((kind(mary)&wise(mary))))&
((?[X]:((funny(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>wise(X))=>(generous(X)|~calm(X))))&
(![X]:((kind(X)&humble(X))=>(creative(X)|calm(X))))&
(((~tall(susan)|brave(susan)))=>((~curious(mary)&calm(mary))))&
(![X]:((~kind(X)|stro... | rich(susan) | [] | null | 0 |
Everyone who is either rich or not rich is wise or quiet and vice versa. Everyone who is tall is rich and vice versa. Everyone who is patient is tall or not generous. If mary is old then lucy is both humble and tall and vice versa. Everyone who is either humble or not brave is both not patient and curious and vice vers... | Paul is not creative. | neutral | (![X]:((rich(X)<~>~rich(X))<=>(wise(X)|quiet(X))))&
(![X]:(tall(X)<=>rich(X)))&
(![X]:(patient(X)=>(tall(X)|~generous(X))))&
((old(mary))<=>((humble(lucy)&tall(lucy))))&
(![X]:((humble(X)<~>~brave(X))<=>(~patient(X)&curious(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(rich(X)&~rich(X))))&
(![X]:(~funny(X)=>~calm(X)))&
(![X... | ~creative(paul) | [] | null | 0 |
If susan is both not creative and happy then susan is both not rich and not brave and vice versa. Everyone who is either not creative or humble is either not rich or quiet. Everyone who is both rich and not rich is tall or kind and vice versa. If alice is both not kind and not patient then someone is kind. If someone i... | Mary is funny. | neutral | (((~creative(susan)&happy(susan)))<=>((~rich(susan)&~brave(susan))))&
(![X]:((~creative(X)<~>humble(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((rich(X)&~rich(X))<=>(tall(X)|kind(X))))&
(((~kind(alice)&~patient(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~happy(fred)|~strong(fred))))&
(((brave(mary)<~>~pa... | funny(mary) | [] | null | 0 |
Everyone who is wise is both not kind and funny and vice versa.
Everyone who is wise is quiet or curious.
Everyone who is not funny or not wise is either wise or brave.
Everyone who is funny is either strong or not curious and vice versa.
If someone is generous or creative then someone is not brave or kind.
Everyone wh... | Mary is rich. | neutral | (![X]:(wise(X)<=>(~kind(X)&funny(X))))&
(![X]:(wise(X)=>(quiet(X)|curious(X))))&
(![X]:((~funny(X)|~wise(X))=>(wise(X)<~>brave(X))))&
(![X]:(funny(X)<=>(strong(X)<~>~curious(X))))&
((?[X]:((generous(X)|creative(X))))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((quiet(X)|~happy(X))=>funny(X)))&
((?[X]:(calm(X)))=>((strong(al... | rich(mary) | [] | null | 0 |
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