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 generous is not rich and vice versa. Everyone who is both old and happy is either wise or not creative. Everyone who is not tall or strong is either tall or wise and vice versa. If john is both not patient and not brave then alice is either not tall or not brave. Everyone who is both not generous an... | Susan is kind. | entailment | (![X]:(~generous(X)<=>~rich(X)))&
(![X]:((old(X)&happy(X))=>(wise(X)<~>~creative(X))))&
(![X]:((~tall(X)|strong(X))<=>(tall(X)<~>wise(X))))&
(((~patient(john)&~brave(john)))=>((~tall(alice)<~>~brave(alice))))&
(![X]:((~generous(X)&kind(X))<=>(~happy(X)<~>rich(X))))&
((strong(susan))=>((~quiet(alice)&~old(alice))))&
(![... | kind(susan) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2165219396938952126174467
% SZS output start Proof for 2165219396938952126174467
1. ! [X0] : (~generous(X0) <=> ~rich(X0)) [input p0]
3. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (tall(X0) <~> wise(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~happy(X0) <~> rich(X0))) [input... | 0 |
If someone is either wise or happy then someone is funny and vice versa. If someone is brave or humble then someone is not patient or not calm and vice versa. Everyone who is both generous and not patient is old or not happy and vice versa. If someone is not creative then someone is happy. Everyone who is either wise o... | Mary is humble. | neutral | ((?[X]:((wise(X)<~>happy(X))))<=>(?[X]:(funny(X))))&
((?[X]:((brave(X)|humble(X))))<=>(?[X]:((~patient(X)|~calm(X)))))&
(![X]:((generous(X)&~patient(X))<=>(old(X)|~happy(X))))&
((?[X]:(~creative(X)))=>(?[X]:(happy(X))))&
(![X]:((wise(X)<~>humble(X))<=>(~patient(X)&calm(X))))&
(![X]:((calm(X)<~>tall(X))<=>(old(X)<~>quie... | humble(mary) | [] | null | 0 |
Everyone who is humble is either not brave or not creative.
If someone is both happy and rich then someone is kind or funny.
Everyone who is both patient and not wise is generous.
Everyone who is both not quiet and not strong is quiet.
Everyone who is both not kind and brave is not quiet or not kind and vice versa.
If ... | Lucy is not happy. | neutral | (![X]:(humble(X)=>(~brave(X)<~>~creative(X))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((patient(X)&~wise(X))=>generous(X)))&
(![X]:((~quiet(X)&~strong(X))=>quiet(X)))&
(![X]:((~kind(X)&brave(X))<=>(~quiet(X)|~kind(X))))&
(((patient(mary)<~>~creative(mary)))=>(?[X]:(funny(X))))&
((?[X]:((curi... | ~happy(lucy) | [] | null | 0 |
Everyone who is strong or not calm is strong or not rich.
Everyone who is both not happy and humble is both quiet and not calm and vice versa.
Everyone who is both generous and not strong is brave.
If lucy is both not tall and humble then lucy is not calm or not humble.
If lucy is wise then alice is both not tall and g... | John is happy. | neutral | (![X]:((strong(X)|~calm(X))=>(strong(X)|~rich(X))))&
(![X]:((~happy(X)&humble(X))<=>(quiet(X)&~calm(X))))&
(![X]:((generous(X)&~strong(X))=>brave(X)))&
(((~tall(lucy)&humble(lucy)))=>((~calm(lucy)|~humble(lucy))))&
((wise(lucy))<=>((~tall(alice)&generous(alice))))&
(![X]:(~rich(X)<=>(~humble(X)|rich(X))))&
((?[X]:((~ha... | happy(john) | [] | null | 0 |
If someone is either generous or kind then someone is generous or not brave and vice versa.
Everyone who is not creative is either calm or not generous and vice versa.
If alice is both not happy and humble then someone is curious.
Everyone who is calm or not humble is both humble and wise and vice versa.
If someone is ... | Lucy is kind. | entailment | ((?[X]:((generous(X)<~>kind(X))))<=>(?[X]:((generous(X)|~brave(X)))))&
(![X]:(~creative(X)<=>(calm(X)<~>~generous(X))))&
(((~happy(alice)&humble(alice)))=>(?[X]:(curious(X))))&
(![X]:((calm(X)|~humble(X))<=>(humble(X)&wise(X))))&
((?[X]:(patient(X)))=>(?[X]:((~quiet(X)<~>curious(X)))))&
(![X]:((generous(X)|~funny(X))=>... | kind(lucy) | [
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6541957698850424827615881
% SZS output start Proof for 6541957698850424827615881
7. ! [X0] : ((wise(X0) <~> patient(X0)) <=> (~patient(X0) | humble(X0))) [input p6]
11. ? [X0] : (~curious(X0) | patient(X0)) <=> kind(lucy) [input p10]
19. ~wise(alice) [input p18]
22. ~kind(lucy) [input hyp... | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa.
Everyone who is tall or brave is not kind.
If someone is either generous or kind then alice is either strong or not strong.
Everyone who is calm is funny.
Everyone who is funny or not wise is either wise or quiet.
Everyone who is ei... | Fred is funny. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | funny(fred) | [] | null | 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... | Alice is not happy. | 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(... | ~happy(alice) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1858888355746046177320272
% SZS output start Proof for 1858888355746046177320272
1. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> (tall(X0) & ~happy(X0))) [input p0]
3. (~brave(fred) & happy(fred)) <=> ? [X0] : (~patient(X0) | brave(X0)) [input p2]
24. happy(alice) [input hypothesis]
39. ! [X... | 0 |
If someone is both not funny and old then someone is not curious. Everyone who is rich is either humble or wise. Everyone who is patient is not calm or humble and vice versa. If lucy is both creative and not creative then someone is both brave and not tall and vice versa. Everyone who is generous or not tall is both br... | Mary is not kind. | entailment | ((?[X]:((~funny(X)&old(X))))=>(?[X]:(~curious(X))))&
(![X]:(rich(X)=>(humble(X)<~>wise(X))))&
(![X]:(patient(X)<=>(~calm(X)|humble(X))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:((brave(X)&~tall(X)))))&
(![X]:((generous(X)|~tall(X))=>(brave(X)&~calm(X))))&
(![X]:((~happy(X)&tall(X))<=>(~generous(X)|humble(X))))&
((... | ~kind(mary) | [
"p4",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6531058914619634960508457
% SZS output start Proof for 6531058914619634960508457
5. ! [X0] : ((~tall(X0) | generous(X0)) => (~calm(X0) & brave(X0))) [input p4]
6. ! [X0] : ((tall(X0) & ~happy(X0)) <=> (humble(X0) | ~generous(X0))) [input p5]
10. ! [X0] : ((strong(X0) <~> ~strong(X0)) => h... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa. If paul is curious then someone is both not old and humble. Everyone who is both not generous and not calm is not curious or not strong. Everyone who is either kind or not strong is rich and vice versa. If susan is not kind then ali... | Lucy is wise. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
((curious(paul))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~generous(X)&~calm(X))=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=>rich(X)))&
((~kind(susan))=>((creative(alice)<~>kind(alice))))&
((?[X]:(patient(X)))<=>(?[X]:((calm(X)<~>creative(X))))... | wise(lucy) | [
"p0",
"p3",
"p8",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7267295485787121726488526
% SZS output start Proof for 7267295485787121726488526
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
4. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> rich(X0)) [input p3]
9. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (humble(X0) | ~... | 0 |
If someone is kind then mary is both humble and quiet.
Everyone who is either generous or rich is both not happy and not creative and vice versa.
If susan is both not creative and not strong then lucy is funny or not old and vice versa.
If someone is either wise or funny then someone is either patient or not rich and v... | Lucy is tall. | neutral | ((?[X]:(kind(X)))=>((humble(mary)&quiet(mary))))&
(![X]:((generous(X)<~>rich(X))<=>(~happy(X)&~creative(X))))&
(((~creative(susan)&~strong(susan)))<=>((funny(lucy)|~old(lucy))))&
((?[X]:((wise(X)<~>funny(X))))<=>(?[X]:((patient(X)<~>~rich(X)))))&
(![X]:((patient(X)&~funny(X))=>strong(X)))&
(![X]:((~tall(X)<~>~happy(X))... | tall(lucy) | [] | null | 0 |
Everyone who is either not wise or not kind is both old and not tall and vice versa. If fred is both wise and kind then fred is both quiet and old and vice versa. Everyone who is both not generous and happy is both not patient and strong and vice versa. If someone is either not tall or tall then someone is patient or n... | John is generous. | contradiction | (![X]:((~wise(X)<~>~kind(X))<=>(old(X)&~tall(X))))&
(((wise(fred)&kind(fred)))<=>((quiet(fred)&old(fred))))&
(![X]:((~generous(X)&happy(X))<=>(~patient(X)&strong(X))))&
((?[X]:((~tall(X)<~>tall(X))))<=>(?[X]:((patient(X)|~generous(X)))))&
(((old(lucy)&~strong(lucy)))<=>((~brave(john)&~tall(john))))&
(![X]:((~humble(X)&... | generous(john) | [
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4639800117294577966913037
% SZS output start Proof for 4639800117294577966913037
8. ! [X0] : (old(X0) <=> (brave(X0) & quiet(X0))) [input p7]
9. ~generous(john) <=> ? [X0] : quiet(X0) [input p8]
23. ? [X0] : old(X0) [input p22]
24. generous(john) [input hypothesis]
48. ! [X0] : ((old(X0) ... | 0 |
Everyone who is not happy or curious is humble or not rich and vice versa. If someone is not kind or not humble then someone is both not strong and not generous. Everyone who is not generous is not quiet and vice versa. If susan is both wise and not generous then someone is either strong or generous. If alice is not ki... | Alice is not kind. | neutral | (![X]:((~happy(X)|curious(X))<=>(humble(X)|~rich(X))))&
((?[X]:((~kind(X)|~humble(X))))=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:(~generous(X)<=>~quiet(X)))&
(((wise(susan)&~generous(susan)))=>(?[X]:((strong(X)<~>generous(X)))))&
(((~kind(alice)|rich(alice)))=>(?[X]:((~brave(X)<~>humble(X)))))&
(![X]:((happy(X)&stro... | ~kind(alice) | [] | null | 0 |
If fred is not tall then lucy is both not strong and not patient and vice versa.
Everyone who is calm is either rich or funny.
Everyone who is both not funny and generous is either not generous or not curious and vice versa.
Everyone who is quiet or old is either not patient or not brave.
Everyone who is not creative i... | Susan is not creative. | entailment | ((~tall(fred))<=>((~strong(lucy)&~patient(lucy))))&
(![X]:(calm(X)=>(rich(X)<~>funny(X))))&
(![X]:((~funny(X)&generous(X))<=>(~generous(X)<~>~curious(X))))&
(![X]:((quiet(X)|old(X))=>(~patient(X)<~>~brave(X))))&
(![X]:(~creative(X)=>(~happy(X)&rich(X))))&
(((~brave(john)<~>generous(john)))=>((old(paul)<~>tall(paul))))&... | ~creative(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4855970644377440269605241
% SZS output start Proof for 4855970644377440269605241
21. ~creative(susan) & ~curious(susan) [input p20]
25. creative(susan) [input hypothesis]
128. ~creative(susan) [cnf transformation 21]
133. creative(susan) [cnf transformation 25]
305. $false [subsumption re... | 0 |
If someone is either not kind or not humble then someone is calm or not rich and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative.
Eve... | John is humble. | neutral | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creat... | humble(john) | [] | null | 0 |
Everyone who is kind is either not old or quiet.
Everyone who is not old or not wise is kind and vice versa.
If alice is either not funny or not strong then paul is either not funny or wise and vice versa.
If someone is rich then someone is old.
Everyone who is both happy and patient is both strong and quiet and vice v... | Lucy is creative. | entailment | (![X]:(kind(X)=>(~old(X)<~>quiet(X))))&
(![X]:((~old(X)|~wise(X))<=>kind(X)))&
(((~funny(alice)<~>~strong(alice)))<=>((~funny(paul)<~>wise(paul))))&
((?[X]:(rich(X)))=>(?[X]:(old(X))))&
(![X]:((happy(X)&patient(X))<=>(strong(X)&quiet(X))))&
(((old(lucy)&~rich(lucy)))=>(?[X]:(calm(X))))&
(((strong(lucy)&wise(lucy)))=>((... | creative(lucy) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"p11",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 716845864533870733965022
% SZS output start Proof for 716845864533870733965022
1. ! [X0] : (kind(X0) => (~old(X0) <~> quiet(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | ~old(X0)) <=> kind(X0)) [input p1]
5. ! [X0] : ((patient(X0) & happy(X0)) <=> (quiet(X0) & strong(X0))) [input p4]
8. ! [X... | 0 |
If mary is both not humble and old then someone is kind or not funny.
Everyone who is not humble or not rich is kind or creative.
Everyone who is both happy and not happy is creative or rich and vice versa.
Everyone who is both not humble and creative is not generous or happy.
Everyone who is both old and not brave is ... | John is brave. | contradiction | (((~humble(mary)&old(mary)))=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~humble(X)|~rich(X))=>(kind(X)|creative(X))))&
(![X]:((happy(X)&~happy(X))<=>(creative(X)|rich(X))))&
(![X]:((~humble(X)&creative(X))=>(~generous(X)|happy(X))))&
(![X]:((old(X)&~brave(X))<=>(~creative(X)|strong(X))))&
((?[X]:((patient(X)|quiet(X))))<=... | brave(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2332243841979394293141857
% SZS output start Proof for 2332243841979394293141857
3. ! [X0] : ((~happy(X0) & happy(X0)) <=> (rich(X0) | creative(X0))) [input p2]
5. ! [X0] : ((~brave(X0) & old(X0)) <=> (strong(X0) | ~creative(X0))) [input p4]
21. brave(john) [input hypothesis]
37. ! [X0] :... | 0 |
Everyone who is both not brave and strong is curious or strong.
Everyone who is kind or not humble is old.
If someone is either not tall or happy then someone is either rich or kind and vice versa.
Everyone who is both not wise and humble is wise and vice versa.
Everyone who is not tall or not happy is either humble or... | Susan is not humble. | entailment | (![X]:((~brave(X)&strong(X))=>(curious(X)|strong(X))))&
(![X]:((kind(X)|~humble(X))=>old(X)))&
((?[X]:((~tall(X)<~>happy(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
(![X]:((~wise(X)&humble(X))<=>wise(X)))&
(![X]:((~tall(X)|~happy(X))=>(humble(X)<~>funny(X))))&
(![X]:((~happy(X)|~curious(X))=>~wise(X)))&
(![X]:((~calm(X)&~pa... | ~humble(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4986484044284389414766348
% SZS output start Proof for 4986484044284389414766348
4. ! [X0] : ((humble(X0) & ~wise(X0)) <=> wise(X0)) [input p3]
25. humble(susan) [input hypothesis]
48. ! [X0] : (((humble(X0) & ~wise(X0)) | ~wise(X0)) & (wise(X0) | (~humble(X0) | wise(X0)))) [nnf transform... | 0 |
Everyone who is both brave and rich is both not strong and tall and vice versa.
If alice is calm then mary is either not wise or patient and vice versa.
Everyone who is not curious or not old is both not wise and creative and vice versa.
Everyone who is either not strong or not rich is rich and vice versa.
If mary is n... | Alice is not rich. | entailment | (![X]:((brave(X)&rich(X))<=>(~strong(X)&tall(X))))&
((calm(alice))<=>((~wise(mary)<~>patient(mary))))&
(![X]:((~curious(X)|~old(X))<=>(~wise(X)&creative(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>rich(X)))&
(((~kind(mary)|kind(mary)))<=>((~strong(mary)&creative(mary))))&
((?[X]:((~old(X)&~generous(X))))<=>((curious(alice)... | ~rich(alice) | [
"p2",
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3595725244562451633204297
% SZS output start Proof for 3595725244562451633204297
3. ! [X0] : ((~old(X0) | ~curious(X0)) <=> (creative(X0) & ~wise(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> rich(X0)) [input p3]
6. ? [X0] : (~generous(X0) & ~old(X0)) <=> (~creative(alice)... | 0 |
Everyone who is not old or not funny is not strong or happy and vice versa.
If lucy is both not calm and not humble then alice is not quiet or brave.
Everyone who is calm is both not calm and generous and vice versa.
Everyone who is either not creative or not curious is not humble or tall and vice versa.
If someone is ... | Alice is calm. | contradiction | (![X]:((~old(X)|~funny(X))<=>(~strong(X)|happy(X))))&
(((~calm(lucy)&~humble(lucy)))=>((~quiet(alice)|brave(alice))))&
(![X]:(calm(X)<=>(~calm(X)&generous(X))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~humble(X)|tall(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:((calm(X)&~humble(X))<=>curious(X))... | calm(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1441511086841233238670108
% SZS output start Proof for 1441511086841233238670108
3. ! [X0] : (calm(X0) <=> (generous(X0) & ~calm(X0))) [input p2]
23. calm(alice) [input hypothesis]
36. ! [X0] : ((calm(X0) | (~generous(X0) | calm(X0))) & ((generous(X0) & ~calm(X0)) | ~calm(X0))) [nnf trans... | 0 |
If john is tall or rich then someone is either generous or creative and vice versa.
If john is strong then someone is either generous or not kind and vice versa.
Everyone who is wise is either not tall or not funny.
Everyone who is both creative and rich is both generous and happy.
Everyone who is humble or kind is bot... | Paul is not tall. | contradiction | (((tall(john)|rich(john)))<=>(?[X]:((generous(X)<~>creative(X)))))&
((strong(john))<=>(?[X]:((generous(X)<~>~kind(X)))))&
(![X]:(wise(X)=>(~tall(X)<~>~funny(X))))&
(![X]:((creative(X)&rich(X))=>(generous(X)&happy(X))))&
(![X]:((humble(X)|kind(X))=>(~strong(X)&rich(X))))&
((generous(paul))=>(calm(lucy)))&
(![X]:((~brave... | ~tall(paul) | [
"p3",
"p4",
"p6",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 320974850019990550132110
% SZS output start Proof for 320974850019990550132110
4. ! [X0] : ((rich(X0) & creative(X0)) => (happy(X0) & generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) | humble(X0)) => (rich(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((~brave(X0) <~> tall(X0)) => (~patient(... | 0 |
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 both not humble and not old then lucy is either not funny or not quiet. If someone is not generous or calm then susan is both curious and not old. E... | Mary is rich. | entailment | (![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)|calm(X))))=>((curious(susan)&~old(susan))))&
(![X]:((generous(X)<~>calm(X))=>(~humble(X)<~>calm(X))))&
((?[X]:... | rich(mary) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 208470269359825178620677
% SZS output start Proof for 208470269359825178620677
13. ! [X0] : ((tall(X0) | ~kind(X0)) => rich(X0)) [input p12]
14. ! [X0] : ((kind(X0) & curious(X0)) <=> ~curious(X0)) [input p13]
24. ~rich(mary) [input hypothesis]
39. ! [X0] : (rich(X0) | (~tall(X0) & kind(X... | 0 |
Everyone who is both not old and calm is not strong and vice versa. If alice is both generous and curious then someone is either not tall or not quiet and vice versa. If someone is both not old and not funny then lucy is kind or creative and vice versa. Everyone who is creative or not curious is not creative. If someon... | Paul is not kind. | contradiction | (![X]:((~old(X)&calm(X))<=>~strong(X)))&
(((generous(alice)&curious(alice)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
((?[X]:((~old(X)&~funny(X))))<=>((kind(lucy)|creative(lucy))))&
(![X]:((creative(X)|~curious(X))=>~creative(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|old(X)))))&
(![X]:((tall(X)<~>creative(X))<=>(~happy(X... | ~kind(paul) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 686513828619142449393738
% SZS output start Proof for 686513828619142449393738
4. ! [X0] : ((~curious(X0) | creative(X0)) => ~creative(X0)) [input p3]
16. ! [X0] : (~kind(X0) => (creative(X0) & ~happy(X0))) [input p15]
23. ~kind(paul) [input hypothesis]
26. ! [X0] : (~creative(X0) | (curi... | 0 |
Everyone who is either generous or not kind is both not creative and not strong.
Everyone who is either not kind or calm is both happy and not calm.
Everyone who is not curious or not humble is either not creative or not curious and vice versa.
If susan is funny then someone is not funny and vice versa.
If paul is not ... | Fred is not patient. | entailment | (![X]:((generous(X)<~>~kind(X))=>(~creative(X)&~strong(X))))&
(![X]:((~kind(X)<~>calm(X))=>(happy(X)&~calm(X))))&
(![X]:((~curious(X)|~humble(X))<=>(~creative(X)<~>~curious(X))))&
((funny(susan))<=>(?[X]:(~funny(X))))&
((~humble(paul))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|happy(lucy))))&
(... | ~patient(fred) | [
"p9",
"p10",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5485638234651835488579285
% SZS output start Proof for 5485638234651835488579285
10. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~creative(X0))) [input p9]
11. ! [X0] : ((~funny(X0) <~> patient(X0)) <=> (quiet(X0) | patient(X0))) [input p10]
13. ! [X0] : ((~strong(X0) <~> funny(X... | 0 |
If someone is not tall then someone is funny.
Everyone who is not calm is both rich and old.
Everyone who is not old is not happy.
Everyone who is strong or not curious is old.
If someone is both wise and not generous then lucy is not patient or not quiet and vice versa.
Everyone who is not calm or not humble is both n... | Paul is not humble. | contradiction | ((?[X]:(~tall(X)))=>(?[X]:(funny(X))))&
(![X]:(~calm(X)=>(rich(X)&old(X))))&
(![X]:(~old(X)=>~happy(X)))&
(![X]:((strong(X)|~curious(X))=>old(X)))&
((?[X]:((wise(X)&~generous(X))))<=>((~patient(lucy)|~quiet(lucy))))&
(![X]:((~calm(X)|~humble(X))=>(~kind(X)&tall(X))))&
(![X]:((humble(X)|~generous(X))=>(~rich(X)|~tall(X)... | ~humble(paul) | [
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3726092171231909109302589
% SZS output start Proof for 3726092171231909109302589
6. ! [X0] : ((~humble(X0) | ~calm(X0)) => (tall(X0) & ~kind(X0))) [input p5]
9. ! [X0] : ((~old(X0) & ~happy(X0)) <=> tall(X0)) [input p8]
13. ? [X0] : (generous(X0) | ~old(X0)) <=> (kind(paul) & brave(paul))... | 0 |
Everyone who is rich is kind or not generous.
If someone is either generous or wise then someone is both not humble and not happy.
Everyone who is either not tall or rich is calm or strong.
If fred is both funny and not curious then someone is not rich and vice versa.
If alice is both tall and not rich then mary is cal... | Susan is patient. | contradiction | (![X]:(rich(X)=>(kind(X)|~generous(X))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((~tall(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((funny(fred)&~curious(fred)))<=>(?[X]:(~rich(X))))&
(((tall(alice)&~rich(alice)))=>(calm(mary)))&
((?[X]:(generous(X)))=>((strong(susan)<~>wise(susan))))&
... | patient(susan) | [
"p5",
"p6",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 78200260083566254821511
% SZS output start Proof for 78200260083566254821511
6. ? [X0] : generous(X0) => (strong(susan) <~> wise(susan)) [input p5]
7. ! [X0] : ((~funny(X0) | ~generous(X0)) <=> (creative(X0) | rich(X0))) [input p6]
9. ! [X0] : ((patient(X0) | ~happy(X0)) => (~rich(X0) & ~... | 0 |
If susan is either rich or brave then someone is both not humble and happy.
Everyone who is both not patient and not curious is either not calm or not kind.
If paul is both not wise and funny then someone is rich or not wise and vice versa.
If someone is not old then someone is kind or not rich.
If someone is tall then... | Mary is humble. | contradiction | (((rich(susan)<~>brave(susan)))=>(?[X]:((~humble(X)&happy(X)))))&
(![X]:((~patient(X)&~curious(X))=>(~calm(X)<~>~kind(X))))&
(((~wise(paul)&funny(paul)))<=>(?[X]:((rich(X)|~wise(X)))))&
((?[X]:(~old(X)))=>(?[X]:((kind(X)|~rich(X)))))&
((?[X]:(tall(X)))<=>((~old(susan)|quiet(susan))))&
(![X]:((humble(X)|patient(X))<=>~r... | humble(mary) | [
"p2",
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4210274382958974508581467
% SZS output start Proof for 4210274382958974508581467
3. (funny(paul) & ~wise(paul)) <=> ? [X0] : (~wise(X0) | rich(X0)) [input p2]
7. ! [X0] : (~wise(X0) <=> (kind(X0) <~> rich(X0))) [input p6]
16. ? [X0] : (tall(X0) | funny(X0)) <=> (~humble(mary) & rich(mary)... | 0 |
Everyone who is brave or not generous is happy. Everyone who is either not brave or not humble is both not rich and wise and vice versa. If lucy is not humble or strong then fred is both not brave and strong and vice versa. If someone is not strong then someone is either not humble or not calm and vice versa. Everyone ... | John is calm. | neutral | (![X]:((brave(X)|~generous(X))=>happy(X)))&
(![X]:((~brave(X)<~>~humble(X))<=>(~rich(X)&wise(X))))&
(((~humble(lucy)|strong(lucy)))<=>((~brave(fred)&strong(fred))))&
((?[X]:(~strong(X)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:((humble(X)|~old(X))=>(~curious(X)&calm(X))))&
(![X]:(happy(X)<=>(humble(X)&calm(X))))&
(!... | calm(john) | [] | null | 0 |
Everyone who is old or not rich is either not kind or kind. If fred is both creative and not humble then someone is curious or patient and vice versa. Everyone who is both not funny and not strong is patient or curious and vice versa. If someone is both wise and calm then fred is both patient and not brave. If john is ... | Lucy is patient. | contradiction | (![X]:((old(X)|~rich(X))=>(~kind(X)<~>kind(X))))&
(((creative(fred)&~humble(fred)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(patient(X)|curious(X))))&
((?[X]:((wise(X)&calm(X))))=>((patient(fred)&~brave(fred))))&
(((~humble(john)|~quiet(john)))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((~humbl... | patient(lucy) | [
"p2",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1866940053564551648313276
% SZS output start Proof for 1866940053564551648313276
3. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (curious(X0) | patient(X0))) [input p2]
6. ! [X0] : ((creative(X0) & ~humble(X0)) <=> (~funny(X0) <~> ~patient(X0))) [input p5]
13. ! [X0] : ((funny(X0) <~> ~humble... | 0 |
Everyone who is not creative is both not funny and not patient and vice versa.
If someone is both creative and not tall then alice is both old and strong.
If someone is patient then john is calm and vice versa.
Everyone who is not creative or kind is both rich and not brave and vice versa.
If someone is tall or not old... | Susan is curious. | entailment | (![X]:(~creative(X)<=>(~funny(X)&~patient(X))))&
((?[X]:((creative(X)&~tall(X))))=>((old(alice)&strong(alice))))&
((?[X]:(patient(X)))<=>(calm(john)))&
(![X]:((~creative(X)|kind(X))<=>(rich(X)&~brave(X))))&
((?[X]:((tall(X)|~old(X))))=>(?[X]:(~tall(X))))&
((old(susan))<=>(?[X]:((generous(X)|~wise(X)))))&
((~patient(luc... | curious(susan) | [
"p0",
"p3",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4302580102206805859162057
% SZS output start Proof for 4302580102206805859162057
1. ! [X0] : (~creative(X0) <=> (~patient(X0) & ~funny(X0))) [input p0]
4. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~brave(X0) & rich(X0))) [input p3]
7. ~patient(lucy) <=> (wise(susan) <~> rich(susan)) [inpu... | 0 |
Everyone who is either not brave or funny is not quiet and vice versa.
Everyone who is not happy or kind is either creative or happy.
Everyone who is either curious or brave is not old or not generous and vice versa.
Everyone who is kind or humble is not curious and vice versa.
If someone is not curious then mary is bo... | Mary is patient. | contradiction | (![X]:((~brave(X)<~>funny(X))<=>~quiet(X)))&
(![X]:((~happy(X)|kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~old(X)|~generous(X))))&
(![X]:((kind(X)|humble(X))<=>~curious(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)&kind(mary))))&
((patient(paul))<=>(humble(john)))&
(![X]:((~funny(X)<~>~bra... | patient(mary) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8894364552146281661662330
% SZS output start Proof for 8894364552146281661662330
12. (~curious(mary) & ~patient(mary)) <=> ? [X0] : (~old(X0) | wise(X0)) [input p11]
15. ! [X0] : ((~wise(X0) | ~creative(X0)) => (calm(X0) & ~calm(X0))) [input p14]
22. patient(mary) [input hypothesis]
29. !... | 0 |
If mary is both old and not patient then john is either brave or not generous and vice versa.
Everyone who is either creative or patient is old or not funny and vice versa.
Everyone who is calm is both patient and not strong and vice versa.
Everyone who is strong is either happy or not calm.
Everyone who is both not pa... | Paul is not curious. | entailment | (((old(mary)&~patient(mary)))<=>((brave(john)<~>~generous(john))))&
(![X]:((creative(X)<~>patient(X))<=>(old(X)|~funny(X))))&
(![X]:(calm(X)<=>(patient(X)&~strong(X))))&
(![X]:(strong(X)=>(happy(X)<~>~calm(X))))&
(![X]:((~patient(X)&~happy(X))=>(strong(X)|~generous(X))))&
(((~humble(john)&wise(john)))=>(?[X]:((~strong(... | ~curious(paul) | [
"p1",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7502511099745099989970283
% SZS output start Proof for 7502511099745099989970283
2. ! [X0] : ((creative(X0) <~> patient(X0)) <=> (~funny(X0) | old(X0))) [input p1]
9. ! [X0] : ((~rich(X0) | patient(X0)) <=> (rich(X0) & happy(X0))) [input p8]
10. ! [X0] : ((creative(X0) & wise(X0)) <=> (ta... | 0 |
Everyone who is funny or quiet is not strong or not creative. If someone is either happy or not quiet then someone is both rich and not curious and vice versa. Everyone who is both quiet and not happy is both patient and not strong. If lucy is old or not tall then lucy is not kind and vice versa. If someone is not brav... | Lucy is calm. | neutral | (![X]:((funny(X)|quiet(X))=>(~strong(X)|~creative(X))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>(?[X]:((rich(X)&~curious(X)))))&
(![X]:((quiet(X)&~happy(X))=>(patient(X)&~strong(X))))&
(((old(lucy)|~tall(lucy)))<=>(~kind(lucy)))&
((?[X]:(~brave(X)))<=>(~patient(fred)))&
(![X]:((~old(X)|~wise(X))<=>funny(X)))&
(![X]:((~gene... | calm(lucy) | [] | null | 0 |
If mary is not humble or not strong then someone is either wise or happy and vice versa. Everyone who is either kind or not strong is tall and vice versa. Everyone who is kind or rich is not strong or calm. If fred is creative then someone is not funny and vice versa. Everyone who is both not brave and patient is brave... | Lucy is not kind. | entailment | (((~humble(mary)|~strong(mary)))<=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((kind(X)<~>~strong(X))<=>tall(X)))&
(![X]:((kind(X)|rich(X))=>(~strong(X)|calm(X))))&
((creative(fred))<=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)&patient(X))<=>brave(X)))&
((?[X]:((patient(X)&brave(X))))=>(~quiet(fred)))&
(![X]:((funny(X)|~calm(X)... | ~kind(lucy) | [
"p1",
"p4",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 253843575978508441143851
% SZS output start Proof for 253843575978508441143851
2. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> tall(X0)) [input p1]
5. ! [X0] : ((patient(X0) & ~brave(X0)) <=> brave(X0)) [input p4]
7. ! [X0] : ((~calm(X0) | funny(X0)) <=> patient(X0)) [input p6]
13. (~tall(luc... | 0 |
Everyone who is both not humble and quiet is either not curious or happy and vice versa. Everyone who is both not brave and strong is both generous and kind and vice versa. If paul is not humble or rich then someone is both not funny and not happy. Everyone who is brave is not curious and vice versa. Everyone who is br... | Susan is not generous. | neutral | (![X]:((~humble(X)&quiet(X))<=>(~curious(X)<~>happy(X))))&
(![X]:((~brave(X)&strong(X))<=>(generous(X)&kind(X))))&
(((~humble(paul)|rich(paul)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:(brave(X)<=>~curious(X)))&
(![X]:(brave(X)<=>~happy(X)))&
((?[X]:((~rich(X)<~>~strong(X))))=>((curious(paul)|~strong(paul))))&
(((tall(... | ~generous(susan) | [] | null | 0 |
Everyone who is not happy or not creative is not curious or not strong and vice versa. If lucy is either happy or not brave then lucy is either not kind or generous and vice versa. Everyone who is old is both strong and kind and vice versa. Everyone who is both not strong and tall is patient or not strong and vice vers... | Lucy is wise. | contradiction | (![X]:((~happy(X)|~creative(X))<=>(~curious(X)|~strong(X))))&
(((happy(lucy)<~>~brave(lucy)))<=>((~kind(lucy)<~>generous(lucy))))&
(![X]:(old(X)<=>(strong(X)&kind(X))))&
(![X]:((~strong(X)&tall(X))<=>(patient(X)|~strong(X))))&
((?[X]:(strong(X)))=>((~quiet(mary)&curious(mary))))&
(((funny(paul)&~brave(paul)))=>((~creat... | wise(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8516174615013415393867630
% SZS output start Proof for 8516174615013415393867630
1. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (~strong(X0) | ~curious(X0))) [input p0]
3. ! [X0] : (old(X0) <=> (kind(X0) & strong(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~strong(X0)) <=> (~strong(X0) | pat... | 0 |
Everyone who is patient is either brave or not strong.
If someone is both not humble and not kind then fred is both not old and happy and vice versa.
Everyone who is generous is either not humble or not wise.
Everyone who is both rich and tall is both tall and not happy and vice versa.
Everyone who is old or not funny ... | Alice is humble. | contradiction | (![X]:(patient(X)=>(brave(X)<~>~strong(X))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(fred)&happy(fred))))&
(![X]:(generous(X)=>(~humble(X)<~>~wise(X))))&
(![X]:((rich(X)&tall(X))<=>(tall(X)&~happy(X))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(... | humble(alice) | [
"p8",
"p9",
"p10",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 697135288930574003626471
% SZS output start Proof for 697135288930574003626471
9. ? [X0] : (tall(X0) <~> generous(X0)) => (~tall(alice) & ~humble(alice)) [input p8]
10. ! [X0] : ((~tall(X0) | generous(X0)) <=> kind(X0)) [input p9]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient(X... | 0 |
If lucy is either not humble or not happy then fred is not brave or not funny. If fred is quiet then john is either rich or not generous. If john is generous then someone is old or not rich. Everyone who is both quiet and curious is not patient and vice versa. Everyone who is not funny or happy is not generous. If some... | Fred is humble. | entailment | (((~humble(lucy)<~>~happy(lucy)))=>((~brave(fred)|~funny(fred))))&
((quiet(fred))=>((rich(john)<~>~generous(john))))&
((generous(john))=>(?[X]:((old(X)|~rich(X)))))&
(![X]:((quiet(X)&curious(X))<=>~patient(X)))&
(![X]:((~funny(X)|happy(X))=>~generous(X)))&
((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:(funny(X))))&
(![X]:((h... | humble(fred) | [
"p3",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2076624804397100201779667
% SZS output start Proof for 2076624804397100201779667
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~patient(X0)) [input p3]
5. ! [X0] : ((happy(X0) | ~funny(X0)) => ~generous(X0)) [input p4]
7. ! [X0] : ((~curious(X0) | happy(X0)) <=> (creative(X0) | ~brave(X0))) ... | 0 |
Everyone who is both funny and not calm is calm or not brave and vice versa.
If someone is not strong or not creative then paul is either not wise or old.
If susan is not patient or quiet then mary is either not curious or not calm.
If someone is not quiet then someone is patient or not creative and vice versa.
If some... | Paul is humble. | neutral | (![X]:((funny(X)&~calm(X))<=>(calm(X)|~brave(X))))&
((?[X]:((~strong(X)|~creative(X))))=>((~wise(paul)<~>old(paul))))&
(((~patient(susan)|quiet(susan)))=>((~curious(mary)<~>~calm(mary))))&
((?[X]:(~quiet(X)))<=>(?[X]:((patient(X)|~creative(X)))))&
((?[X]:((funny(X)|~rich(X))))<=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:(... | humble(paul) | [] | null | 0 |
Everyone who is both not brave and not humble is both calm and not brave.
Everyone who is rich is both tall and curious.
Everyone who is not rich is not creative.
Everyone who is not calm or calm is patient.
If someone is tall or not humble then someone is either not quiet or not happy and vice versa.
Everyone who is b... | Paul is tall. | entailment | (![X]:((~brave(X)&~humble(X))=>(calm(X)&~brave(X))))&
(![X]:(rich(X)=>(tall(X)&curious(X))))&
(![X]:(~rich(X)=>~creative(X)))&
(![X]:((~calm(X)|calm(X))=>patient(X)))&
((?[X]:((tall(X)|~humble(X))))<=>(?[X]:((~quiet(X)<~>~happy(X)))))&
(![X]:((~calm(X)&kind(X))=>(~generous(X)&humble(X))))&
((?[X]:((quiet(X)&~generous(X... | tall(paul) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7865872203544674232850069
% SZS output start Proof for 7865872203544674232850069
2. ! [X0] : (rich(X0) => (curious(X0) & tall(X0))) [input p1]
9. ! [X0] : (~rich(X0) <=> (rich(X0) & generous(X0))) [input p8]
21. ~tall(paul) [input hypothesis]
27. ! [X0] : ((curious(X0) & tall(X0)) | ~rich... | 0 |
If susan is not old or not brave then mary is not funny. If someone is both not calm and strong then susan is either not wise or not patient. Everyone who is creative or quiet is brave and vice versa. If someone is either creative or rich then paul is humble or not kind. Everyone who is either patient or not curious is... | Fred is not funny. | entailment | (((~old(susan)|~brave(susan)))=>(~funny(mary)))&
((?[X]:((~calm(X)&strong(X))))=>((~wise(susan)<~>~patient(susan))))&
(![X]:((creative(X)|quiet(X))<=>brave(X)))&
((?[X]:((creative(X)<~>rich(X))))=>((humble(paul)|~kind(paul))))&
(![X]:((patient(X)<~>~curious(X))=>(~old(X)<~>old(X))))&
(![X]:(~creative(X)<=>(funny(X)<~>~... | ~funny(fred) | [
"p2",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 398528737226632629484712
% SZS output start Proof for 398528737226632629484712
3. ! [X0] : ((quiet(X0) | creative(X0)) <=> brave(X0)) [input p2]
6. ! [X0] : (~creative(X0) <=> (funny(X0) <~> ~quiet(X0))) [input p5]
7. ! [X0] : ((tall(X0) & brave(X0)) <=> calm(X0)) [input p6]
13. ! [X0] : ... | 0 |
If someone is not kind or curious then fred is either not calm or not humble and vice versa. If mary is not creative then someone is tall. Everyone who is humble is both wise and not kind. Everyone who is not generous or not rich is tall or not creative and vice versa. Everyone who is not kind or tall is either not qui... | Alice is funny. | neutral | ((?[X]:((~kind(X)|curious(X))))<=>((~calm(fred)<~>~humble(fred))))&
((~creative(mary))=>(?[X]:(tall(X))))&
(![X]:(humble(X)=>(wise(X)&~kind(X))))&
(![X]:((~generous(X)|~rich(X))<=>(tall(X)|~creative(X))))&
(![X]:((~kind(X)|tall(X))=>(~quiet(X)<~>happy(X))))&
(((funny(alice)&generous(alice)))=>((~creative(lucy)|~rich(lu... | funny(alice) | [] | null | 0 |
Everyone who is both rich and not wise is kind or not tall and vice versa.
Everyone who is either generous or tall is either curious or wise.
If someone is both not generous and kind then someone is creative or not calm and vice versa.
Everyone who is either not old or patient is not rich and vice versa.
Everyone who i... | Alice is happy. | entailment | (![X]:((rich(X)&~wise(X))<=>(kind(X)|~tall(X))))&
(![X]:((generous(X)<~>tall(X))=>(curious(X)<~>wise(X))))&
((?[X]:((~generous(X)&kind(X))))<=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((~old(X)<~>patient(X))<=>~rich(X)))&
(![X]:((~strong(X)<~>~calm(X))=>(~wise(X)<~>happy(X))))&
(((~patient(mary)&~quiet(mary)))=>(?[X]:((... | happy(alice) | [
"p0",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2445726975994465020222300
% SZS output start Proof for 2445726975994465020222300
1. ! [X0] : ((~wise(X0) & rich(X0)) <=> (~tall(X0) | kind(X0))) [input p0]
8. ! [X0] : ((~brave(X0) & wise(X0)) <=> (~happy(X0) <~> wise(X0))) [input p7]
11. ! [X0] : ((~wise(X0) <~> ~strong(X0)) <=> (~wise(X... | 0 |
Everyone who is patient or brave is not brave or kind and vice versa.
If someone is not generous then lucy is strong and vice versa.
Everyone who is both wise and not quiet is quiet and vice versa.
If someone is either old or not tall then someone is rich or old and vice versa.
Everyone who is not creative or not calm ... | John is quiet. | contradiction | (![X]:((patient(X)|brave(X))<=>(~brave(X)|kind(X))))&
((?[X]:(~generous(X)))<=>(strong(lucy)))&
(![X]:((wise(X)&~quiet(X))<=>quiet(X)))&
((?[X]:((old(X)<~>~tall(X))))<=>(?[X]:((rich(X)|old(X)))))&
(![X]:((~creative(X)|~calm(X))<=>strong(X)))&
((~curious(john))=>((~creative(mary)<~>kind(mary))))&
(![X]:((old(X)&~rich(X)... | quiet(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6908245264555193049896259
% SZS output start Proof for 6908245264555193049896259
3. ! [X0] : ((~quiet(X0) & wise(X0)) <=> quiet(X0)) [input p2]
21. quiet(john) [input hypothesis]
39. ! [X0] : (((~quiet(X0) & wise(X0)) | ~quiet(X0)) & (quiet(X0) | (quiet(X0) | ~wise(X0)))) [nnf transformat... | 0 |
If alice is either old or not tall then someone is both patient and not happy.
If someone is not wise or not quiet then john is both calm and creative and vice versa.
Everyone who is both not humble and happy is both not happy and brave.
If mary is not brave then someone is either not happy or strong and vice versa.
Ev... | Alice is not tall. | neutral | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&~happy(X)))))&
((?[X]:((~wise(X)|~quiet(X))))<=>((calm(john)&creative(john))))&
(![X]:((~humble(X)&happy(X))=>(~happy(X)&brave(X))))&
((~brave(mary))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:((brave(X)|~brave(X))<=>strong(X)))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)... | ~tall(alice) | [] | null | 0 |
If someone is not happy or not humble then someone is both tall and patient. Everyone who is generous or wise is both strong and not quiet. Everyone who is tall is both rich and not humble and vice versa. If someone is not funny or not tall then someone is either not creative or funny and vice versa. If someone is calm... | Alice is old. | contradiction | ((?[X]:((~happy(X)|~humble(X))))=>(?[X]:((tall(X)&patient(X)))))&
(![X]:((generous(X)|wise(X))=>(strong(X)&~quiet(X))))&
(![X]:(tall(X)<=>(rich(X)&~humble(X))))&
((?[X]:((~funny(X)|~tall(X))))<=>(?[X]:((~creative(X)<~>funny(X)))))&
((?[X]:((calm(X)|patient(X))))=>((strong(lucy)|kind(lucy))))&
((?[X]:((creative(X)&~curi... | old(alice) | [
"p0",
"p2",
"p6",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2932840786229669311112284
% SZS output start Proof for 2932840786229669311112284
1. ? [X0] : (~humble(X0) | ~happy(X0)) => ? [X0] : (patient(X0) & tall(X0)) [input p0]
3. ! [X0] : (tall(X0) <=> (~humble(X0) & rich(X0))) [input p2]
7. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> ~old(X0)) [inp... | 0 |
Everyone who is not old is either wise or creative and vice versa.
Everyone who is both humble and wise is not generous.
If someone is either generous or not humble then someone is either quiet or patient.
If mary is either not humble or patient then alice is humble or not wise and vice versa.
If someone is either not ... | Alice is not old. | entailment | (![X]:(~old(X)<=>(wise(X)<~>creative(X))))&
(![X]:((humble(X)&wise(X))=>~generous(X)))&
((?[X]:((generous(X)<~>~humble(X))))=>(?[X]:((quiet(X)<~>patient(X)))))&
(((~humble(mary)<~>patient(mary)))<=>((humble(alice)|~wise(alice))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((strong(X)&old(X)))))&
(((~happy(john)|quie... | ~old(alice) | [
"p7",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 337582973339337040973112
% SZS output start Proof for 337582973339337040973112
8. ! [X0] : ((curious(X0) & ~rich(X0)) <=> (patient(X0) | creative(X0))) [input p7]
12. ! [X0] : (~creative(X0) => patient(X0)) [input p11]
22. rich(alice) <~> ~old(alice) [input p21]
23. old(alice) [input hypo... | 0 |
If someone is not wise then fred is both curious and brave and vice versa.
Everyone who is not tall or quiet is either kind or happy and vice versa.
Everyone who is not patient or not strong is not curious and vice versa.
Everyone who is generous or calm is either not old or not strong.
Everyone who is both not humble ... | Paul is old. | contradiction | ((?[X]:(~wise(X)))<=>((curious(fred)&brave(fred))))&
(![X]:((~tall(X)|quiet(X))<=>(kind(X)<~>happy(X))))&
(![X]:((~patient(X)|~strong(X))<=>~curious(X)))&
(![X]:((generous(X)|calm(X))=>(~old(X)<~>~strong(X))))&
(![X]:((~humble(X)&generous(X))<=>strong(X)))&
(((~rich(fred)<~>~funny(fred)))<=>((kind(paul)<~>creative(paul... | old(paul) | [
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2857102962925912874284703
% SZS output start Proof for 2857102962925912874284703
4. ! [X0] : ((calm(X0) | generous(X0)) => (~old(X0) <~> ~strong(X0))) [input p3]
5. ! [X0] : ((generous(X0) & ~humble(X0)) <=> strong(X0)) [input p4]
15. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (humble(X0) & ... | 0 |
If someone is not strong or curious then alice is both old and not patient and vice versa.
Everyone who is both quiet and calm is both not brave and not happy.
Everyone who is either creative or old is not old.
Everyone who is both not creative and curious is either humble or not curious and vice versa.
If lucy is not ... | Alice is not generous. | entailment | ((?[X]:((~strong(X)|curious(X))))<=>((old(alice)&~patient(alice))))&
(![X]:((quiet(X)&calm(X))=>(~brave(X)&~happy(X))))&
(![X]:((creative(X)<~>old(X))=>~old(X)))&
(![X]:((~creative(X)&curious(X))<=>(humble(X)<~>~curious(X))))&
((~humble(lucy))=>((~kind(paul)|~creative(paul))))&
((?[X]:((humble(X)<~>~calm(X))))<=>(?[X]:... | ~generous(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2172157606078522211840542
% SZS output start Proof for 2172157606078522211840542
7. ! [X0] : (generous(X0) => (funny(X0) & ~generous(X0))) [input p6]
23. generous(alice) [input hypothesis]
31. ! [X0] : ((funny(X0) & ~generous(X0)) | ~generous(X0)) [ennf transformation 7]
90. ~generous(X0)... | 0 |
Everyone who is generous is not rich.
If someone is either not creative or calm then someone is both rich and wise.
If fred is either tall or not humble then someone is both not funny and not creative.
If someone is curious then mary is not generous and vice versa.
Everyone who is not quiet is not tall or brave and vic... | Paul is calm. | entailment | (![X]:(generous(X)=>~rich(X)))&
((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((rich(X)&wise(X)))))&
(((tall(fred)<~>~humble(fred)))=>(?[X]:((~funny(X)&~creative(X)))))&
((?[X]:(curious(X)))<=>(~generous(mary)))&
(![X]:(~quiet(X)<=>(~tall(X)|brave(X))))&
(![X]:(~strong(X)=>(~kind(X)<~>old(X))))&
(![X]:((~strong(X)<~>~creat... | calm(paul) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1732163752918060475987460
% SZS output start Proof for 1732163752918060475987460
8. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> (funny(X0) | humble(X0))) [input p7]
10. ! [X0] : ((~old(X0) | old(X0)) => (~humble(X0) <~> creative(X0))) [input p9]
13. ! [X0] : (~creative(X0) => (strong(X0) & ... | 0 |
Everyone who is either wise or kind is not tall or quiet.
If someone is both curious and funny then someone is either not generous or calm.
Everyone who is humble or not funny is creative and vice versa.
If someone is happy then someone is not creative or not funny and vice versa.
Everyone who is not patient is not gen... | Mary is not tall. | contradiction | (![X]:((wise(X)<~>kind(X))=>(~tall(X)|quiet(X))))&
((?[X]:((curious(X)&funny(X))))=>(?[X]:((~generous(X)<~>calm(X)))))&
(![X]:((humble(X)|~funny(X))<=>creative(X)))&
((?[X]:(happy(X)))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:(~patient(X)<=>~generous(X)))&
(![X]:(~creative(X)<=>(~humble(X)<~>creative(X))))&
(![X]:((... | ~tall(mary) | [
"p2",
"p5",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 603594659290062010827711
% SZS output start Proof for 603594659290062010827711
3. ! [X0] : ((~funny(X0) | humble(X0)) <=> creative(X0)) [input p2]
6. ! [X0] : (~creative(X0) <=> (~humble(X0) <~> creative(X0))) [input p5]
7. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (~humble(X0) & patient(X0))... | 0 |
Everyone who is either calm or strong is not humble or old. Everyone who is quiet is either not patient or wise. If someone is either quiet or not tall then susan is brave or not rich and vice versa. If someone is either happy or old then someone is either not rich or rich. If mary is either not creative or calm then s... | Mary is wise. | contradiction | (![X]:((calm(X)<~>strong(X))=>(~humble(X)|old(X))))&
(![X]:(quiet(X)=>(~patient(X)<~>wise(X))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>((brave(susan)|~rich(susan))))&
((?[X]:((happy(X)<~>old(X))))=>(?[X]:((~rich(X)<~>rich(X)))))&
(((~creative(mary)<~>calm(mary)))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)<~>patient(X))=>(... | wise(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1848115455725381792598668
% SZS output start Proof for 1848115455725381792598668
8. ! [X0] : ((~creative(X0) | creative(X0)) => ~wise(X0)) [input p7]
22. wise(mary) [input hypothesis]
35. ! [X0] : (~wise(X0) | (creative(X0) & ~creative(X0))) [ennf transformation 8]
107. ~wise(X0) | ~creat... | 0 |
Everyone who is either not brave or kind is both brave and not tall.
Everyone who is either generous or happy is rich.
Everyone who is not calm or not funny is rich or strong and vice versa.
If someone is calm or kind then someone is both kind and rich.
Everyone who is both kind and not old is both calm and not curious... | Lucy is humble. | contradiction | (![X]:((~brave(X)<~>kind(X))=>(brave(X)&~tall(X))))&
(![X]:((generous(X)<~>happy(X))=>rich(X)))&
(![X]:((~calm(X)|~funny(X))<=>(rich(X)|strong(X))))&
((?[X]:((calm(X)|kind(X))))=>(?[X]:((kind(X)&rich(X)))))&
(![X]:((kind(X)&~old(X))<=>(calm(X)&~curious(X))))&
(![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=... | humble(lucy) | [
"p0",
"p10",
"p11",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 413066051807451167257144
% SZS output start Proof for 413066051807451167257144
1. ! [X0] : ((~brave(X0) <~> kind(X0)) => (~tall(X0) & brave(X0))) [input p0]
11. ! [X0] : ((old(X0) | ~brave(X0)) <=> (~humble(X0) <~> tall(X0))) [input p10]
12. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~old(X... | 0 |
Everyone who is both strong and not creative is generous or not quiet. If someone is funny or not generous then john is both strong and not creative. If susan is calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous a... | John is not curious. | contradiction | (![X]:((strong(X)&~creative(X))=>(generous(X)|~quiet(X))))&
((?[X]:((funny(X)|~generous(X))))=>((strong(john)&~creative(john))))&
((calm(susan))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X... | ~curious(john) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 488837787195804306934788
% SZS output start Proof for 488837787195804306934788
1. ! [X0] : ((~creative(X0) & strong(X0)) => (~quiet(X0) | generous(X0))) [input p0]
2. ? [X0] : (~generous(X0) | funny(X0)) => (~creative(john) & strong(john)) [input p1]
5. ! [X0] : (~generous(X0) <=> (genero... | 0 |
If someone is either kind or calm then someone is not quiet and vice versa.
If someone is calm or not old then someone is either not happy or not calm and vice versa.
If someone is not patient then mary is not creative.
If someone is either tall or not rich then susan is brave or creative and vice versa.
If lucy is not... | Fred is not curious. | contradiction | ((?[X]:((kind(X)<~>calm(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((calm(X)|~old(X))))<=>(?[X]:((~happy(X)<~>~calm(X)))))&
((?[X]:(~patient(X)))=>(~creative(mary)))&
((?[X]:((tall(X)<~>~rich(X))))<=>((brave(susan)|creative(susan))))&
(((~generous(lucy)|kind(lucy)))=>(?[X]:((rich(X)|~creative(X)))))&
(((humble(alice)&~calm(al... | ~curious(fred) | [
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8988852710223072524694258
% SZS output start Proof for 8988852710223072524694258
8. ? [X0] : (~funny(X0) & old(X0)) <=> ? [X0] : (curious(X0) <~> tall(X0)) [input p7]
13. ! [X0] : ((~kind(X0) | rich(X0)) => tall(X0)) [input p12]
15. ! [X0] : ((~kind(X0) <~> ~rich(X0)) => (~curious(X0) <~>... | 0 |
If someone is either humble or not old then paul is both kind and wise.
If john is not curious then fred is not funny.
Everyone who is not calm is either not patient or wise and vice versa.
If someone is wise then mary is either not creative or not happy and vice versa.
Everyone who is not funny is both not strong and ... | Paul is quiet. | contradiction | ((?[X]:((humble(X)<~>~old(X))))=>((kind(paul)&wise(paul))))&
((~curious(john))=>(~funny(fred)))&
(![X]:(~calm(X)<=>(~patient(X)<~>wise(X))))&
((?[X]:(wise(X)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:(~funny(X)<=>(~strong(X)&funny(X))))&
((patient(fred))<=>(calm(mary)))&
(![X]:((old(X)<~>~calm(X))<=>(~curious(X)<~... | quiet(paul) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3426044400945134291694426
% SZS output start Proof for 3426044400945134291694426
5. ! [X0] : (~funny(X0) <=> (funny(X0) & ~strong(X0))) [input p4]
11. ? [X0] : creative(X0) <=> ? [X0] : (~funny(X0) & ~tall(X0)) [input p10]
13. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p1... | 0 |
If someone is creative or not curious then lucy is not brave and vice versa.
If paul is either brave or happy then someone is both not creative and curious and vice versa.
Everyone who is either patient or not humble is not curious.
Everyone who is not strong is both quiet and not happy.
If someone is either not genero... | Lucy is brave. | neutral | ((?[X]:((creative(X)|~curious(X))))<=>(~brave(lucy)))&
(((brave(paul)<~>happy(paul)))<=>(?[X]:((~creative(X)&curious(X)))))&
(![X]:((patient(X)<~>~humble(X))=>~curious(X)))&
(![X]:(~strong(X)=>(quiet(X)&~happy(X))))&
((?[X]:((~generous(X)<~>humble(X))))=>((happy(mary)|quiet(mary))))&
(((~humble(paul)&humble(paul)))=>(?... | brave(lucy) | [] | null | 0 |
Everyone who is old is either rich or funny and vice versa.
If paul is funny then someone is rich or not rich and vice versa.
Everyone who is either strong or not strong is both not old and generous and vice versa.
Everyone who is either not funny or not calm is either not tall or generous and vice versa.
Everyone who ... | Lucy is calm. | entailment | (![X]:(old(X)<=>(rich(X)<~>funny(X))))&
((funny(paul))<=>(?[X]:((rich(X)|~rich(X)))))&
(![X]:((strong(X)<~>~strong(X))<=>(~old(X)&generous(X))))&
(![X]:((~funny(X)<~>~calm(X))<=>(~tall(X)<~>generous(X))))&
(![X]:(~strong(X)=>(~old(X)|strong(X))))&
(![X]:((~wise(X)<~>old(X))=>(strong(X)|~calm(X))))&
(![X]:(~wise(X)=>(~f... | calm(lucy) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3443361883906517693749820
% SZS output start Proof for 3443361883906517693749820
10. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p9]
14. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))) [input p13]
20. ~calm(lucy) [input hypothesis]
39. ! [X0] : (((~brave(X0)... | 0 |
Everyone who is old is quiet.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not rich or patient.
Everyone who is wise or n... | Susan is not rich. | entailment | (![X]:(old(X)=>quiet(X)))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X))))&
(![X]:((generous(X)|~quie... | ~rich(susan) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 470418536629186004636443
% SZS output start Proof for 470418536629186004636443
1. ! [X0] : (old(X0) => quiet(X0)) [input p0]
3. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~strong(X0) | creative(X0))) [input p2]
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice vers... | Alice is kind. | neutral | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((cre... | kind(alice) | [] | null | 0 |
If alice is not humble then fred is either humble or not tall and vice versa.
Everyone who is both not old and not strong is both not brave and not rich and vice versa.
Everyone who is not quiet or not creative is either not tall or patient.
If fred is not creative or generous then someone is both happy and patient.
If... | John is kind. | contradiction | ((~humble(alice))<=>((humble(fred)<~>~tall(fred))))&
(![X]:((~old(X)&~strong(X))<=>(~brave(X)&~rich(X))))&
(![X]:((~quiet(X)|~creative(X))=>(~tall(X)<~>patient(X))))&
(((~creative(fred)|generous(fred)))=>(?[X]:((happy(X)&patient(X)))))&
((?[X]:((~funny(X)<~>~humble(X))))=>((~creative(alice)<~>tall(alice))))&
((quiet(ma... | kind(john) | [
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9086510126706174919365452
% SZS output start Proof for 9086510126706174919365452
7. ! [X0] : ((creative(X0) & ~creative(X0)) <=> ~patient(X0)) [input p6]
11. ! [X0] : ((~old(X0) | ~humble(X0)) => ~patient(X0)) [input p10]
13. ! [X0] : (funny(X0) <=> ~patient(X0)) [input p12]
15. ! [X0] : ... | 0 |
Everyone who is funny or not strong is either wise or patient and vice versa. If lucy is both brave and funny then someone is humble or not generous. If lucy is either wise or rich then someone is both not humble and not happy and vice versa. If alice is both kind and tall then lucy is not kind or not old and vice vers... | Alice is not calm. | neutral | (![X]:((funny(X)|~strong(X))<=>(wise(X)<~>patient(X))))&
(((brave(lucy)&funny(lucy)))=>(?[X]:((humble(X)|~generous(X)))))&
(((wise(lucy)<~>rich(lucy)))<=>(?[X]:((~humble(X)&~happy(X)))))&
(((kind(alice)&tall(alice)))<=>((~kind(lucy)|~old(lucy))))&
(![X]:((~brave(X)<~>~old(X))=>(~kind(X)|~old(X))))&
(((happy(lucy)&~brav... | ~calm(alice) | [] | null | 0 |
If mary is both not generous and not patient then someone is either not patient or not rich.
Everyone who is patient or calm is either not creative or not calm.
Everyone who is either old or patient is either patient or creative and vice versa.
If mary is either rich or not quiet then someone is strong and vice versa.
... | Susan is happy. | neutral | (((~generous(mary)&~patient(mary)))=>(?[X]:((~patient(X)<~>~rich(X)))))&
(![X]:((patient(X)|calm(X))=>(~creative(X)<~>~calm(X))))&
(![X]:((old(X)<~>patient(X))<=>(patient(X)<~>creative(X))))&
(((rich(mary)<~>~quiet(mary)))<=>(?[X]:(strong(X))))&
(![X]:(~strong(X)<=>~wise(X)))&
(((~kind(susan)|tall(susan)))<=>(?[X]:((~g... | happy(susan) | [] | null | 0 |
Everyone who is not kind is kind or not creative. Everyone who is either not patient or not creative is either happy or not quiet. If lucy is either not creative or quiet then someone is both strong and not quiet. Everyone who is not patient or not creative is both not brave and not wise and vice versa. Everyone who is... | Paul is kind. | neutral | (![X]:(~kind(X)=>(kind(X)|~creative(X))))&
(![X]:((~patient(X)<~>~creative(X))=>(happy(X)<~>~quiet(X))))&
(((~creative(lucy)<~>quiet(lucy)))=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~patient(X)|~creative(X))<=>(~brave(X)&~wise(X))))&
(![X]:((funny(X)&wise(X))=>(strong(X)&~rich(X))))&
((~happy(john))=>(?[X]:((wise(X)|~... | kind(paul) | [] | null | 0 |
Everyone who is not kind is not calm.
Everyone who is either not generous or strong is tall or funny and vice versa.
If lucy is not rich or patient then someone is brave.
Everyone who is both tall and not creative is either kind or old and vice versa.
If lucy is rich then someone is either not funny or old.
Everyone wh... | Mary is not old. | neutral | (![X]:(~kind(X)=>~calm(X)))&
(![X]:((~generous(X)<~>strong(X))<=>(tall(X)|funny(X))))&
(((~rich(lucy)|patient(lucy)))=>(?[X]:(brave(X))))&
(![X]:((tall(X)&~creative(X))<=>(kind(X)<~>old(X))))&
((rich(lucy))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((wise(X)<~>~tall(X))=>(happy(X)<~>tall(X))))&
((?[X]:((funny(X)&~quiet(X)... | ~old(mary) | [] | null | 0 |
Everyone who is brave is not old and vice versa.
If paul is not creative then someone is either old or wise and vice versa.
Everyone who is both not happy and not patient is either old or not happy and vice versa.
If mary is either not brave or brave then lucy is not funny.
If someone is either generous or old then som... | Lucy is not curious. | contradiction | (![X]:(brave(X)<=>~old(X)))&
((~creative(paul))<=>(?[X]:((old(X)<~>wise(X)))))&
(![X]:((~happy(X)&~patient(X))<=>(old(X)<~>~happy(X))))&
(((~brave(mary)<~>brave(mary)))=>(~funny(lucy)))&
((?[X]:((generous(X)<~>old(X))))<=>(?[X]:((creative(X)<~>wise(X)))))&
(![X]:((~kind(X)|~curious(X))=>(~generous(X)<~>~happy(X))))&
(!... | ~curious(lucy) | [
"p2",
"p3",
"p5",
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5093933345143501174365950
% SZS output start Proof for 5093933345143501174365950
3. ! [X0] : ((~patient(X0) & ~happy(X0)) <=> (old(X0) <~> ~happy(X0))) [input p2]
4. (~brave(mary) <~> brave(mary)) => ~funny(lucy) [input p3]
6. ! [X0] : ((~curious(X0) | ~kind(X0)) => (~generous(X0) <~> ~ha... | 0 |
If someone is calm then someone is either curious or not tall.
If someone is happy then someone is both not creative and quiet and vice versa.
Everyone who is both not kind and not strong is both old and not humble and vice versa.
Everyone who is either happy or not wise is tall or not old and vice versa.
If someone is... | Mary is tall. | contradiction | ((?[X]:(calm(X)))=>(?[X]:((curious(X)<~>~tall(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~creative(X)&quiet(X)))))&
(![X]:((~kind(X)&~strong(X))<=>(old(X)&~humble(X))))&
(![X]:((happy(X)<~>~wise(X))<=>(tall(X)|~old(X))))&
((?[X]:(patient(X)))<=>(?[X]:(funny(X))))&
(((~patient(alice)<~>~tall(alice)))<=>((wise(john)|quiet(john... | tall(mary) | [
"p3",
"p6",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2448807701587694253222438
% SZS output start Proof for 2448807701587694253222438
4. ! [X0] : ((happy(X0) <~> ~wise(X0)) <=> (~old(X0) | tall(X0))) [input p3]
7. ~wise(mary) <=> ? [X0] : ~tall(X0) [input p6]
8. ! [X0] : ((~calm(X0) & wise(X0)) <=> ~happy(X0)) [input p7]
13. ! [X0] : ((~ric... | 0 |
If someone is both not wise and not generous then someone is either not tall or tall and vice versa.
Everyone who is not curious or quiet is both generous and calm.
Everyone who is not happy or not humble is quiet.
Everyone who is funny is either not calm or not quiet and vice versa.
Everyone who is happy or not quiet ... | Paul is strong. | entailment | ((?[X]:((~wise(X)&~generous(X))))<=>(?[X]:((~tall(X)<~>tall(X)))))&
(![X]:((~curious(X)|quiet(X))=>(generous(X)&calm(X))))&
(![X]:((~happy(X)|~humble(X))=>quiet(X)))&
(![X]:(funny(X)<=>(~calm(X)<~>~quiet(X))))&
(![X]:((happy(X)|~quiet(X))=>(brave(X)|~strong(X))))&
(((strong(paul)&~humble(paul)))<=>(?[X]:((wise(X)|old(X... | strong(paul) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2886233567937951278146248
% SZS output start Proof for 2886233567937951278146248
2. ! [X0] : ((quiet(X0) | ~curious(X0)) => (calm(X0) & generous(X0))) [input p1]
4. ! [X0] : (funny(X0) <=> (~calm(X0) <~> ~quiet(X0))) [input p3]
6. (~humble(paul) & strong(paul)) <=> ? [X0] : (old(X0) | wis... | 0 |
Everyone who is both kind and not curious is not quiet and vice versa.
If someone is not calm then someone is either not funny or calm and vice versa.
Everyone who is either quiet or rich is not wise and vice versa.
Everyone who is calm is not humble or not tall and vice versa.
If susan is not rich or not funny then fr... | John is happy. | neutral | (![X]:((kind(X)&~curious(X))<=>~quiet(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~wise(X)))&
(![X]:(calm(X)<=>(~humble(X)|~tall(X))))&
(((~rich(susan)|~funny(susan)))=>(~calm(fred)))&
(![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alic... | happy(john) | [] | null | 0 |
Everyone who is not wise or not generous is not patient or kind.
Everyone who is either kind or not humble is not creative.
Everyone who is not curious or old is not generous or wise.
Everyone who is either not calm or not creative is brave or funny and vice versa.
If someone is either happy or not curious then someone... | Lucy is brave. | neutral | (![X]:((~wise(X)|~generous(X))=>(~patient(X)|kind(X))))&
(![X]:((kind(X)<~>~humble(X))=>~creative(X)))&
(![X]:((~curious(X)|old(X))=>(~generous(X)|wise(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(brave(X)|funny(X))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&strong(X)))))&
(![X]:((~creative(X)&quiet(X))<=>~... | brave(lucy) | [] | null | 0 |
If mary is both not funny and calm then someone is not wise or curious and vice versa.
If alice is not creative then mary is quiet or not brave and vice versa.
Everyone who is either wise or not kind is not wise or not generous.
Everyone who is curious is both not old and not happy.
If susan is not kind or quiet then s... | Lucy is not quiet. | contradiction | (((~funny(mary)&calm(mary)))<=>(?[X]:((~wise(X)|curious(X)))))&
((~creative(alice))<=>((quiet(mary)|~brave(mary))))&
(![X]:((wise(X)<~>~kind(X))=>(~wise(X)|~generous(X))))&
(![X]:(curious(X)=>(~old(X)&~happy(X))))&
(((~kind(susan)|quiet(susan)))=>(?[X]:(~strong(X))))&
(((~rich(alice)&wise(alice)))<=>((~creative(paul)|p... | ~quiet(lucy) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5251100559146915684584703
% SZS output start Proof for 5251100559146915684584703
7. ! [X0] : ((kind(X0) <~> quiet(X0)) <=> (humble(X0) & ~kind(X0))) [input p6]
8. ! [X0] : (~creative(X0) <=> (rich(X0) | ~rich(X0))) [input p7]
10. ! [X0] : (~humble(X0) <=> (~old(X0) & creative(X0))) [input... | 0 |
If someone is not generous then someone is either not old or brave and vice versa.
Everyone who is creative is both not curious and not rich and vice versa.
If fred is both patient and not rich then someone is kind or not curious and vice versa.
Everyone who is both funny and not old is not patient and vice versa.
If f... | John is not humble. | contradiction | ((?[X]:(~generous(X)))<=>(?[X]:((~old(X)<~>brave(X)))))&
(![X]:(creative(X)<=>(~curious(X)&~rich(X))))&
(((patient(fred)&~rich(fred)))<=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((funny(X)&~old(X))<=>~patient(X)))&
((~humble(fred))=>(?[X]:((generous(X)&strong(X)))))&
(![X]:((~patient(X)&strong(X))=>(patient(X)|~patient(X... | ~humble(john) | [
"p1",
"p3",
"p8",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1230521110639890603611053
% SZS output start Proof for 1230521110639890603611053
2. ! [X0] : (creative(X0) <=> (~rich(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((~old(X0) & funny(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : ((~strong(X0) <~> funny(X0)) => (patient(X0) & humble(X0))) [i... | 0 |
If someone is both not wise and not funny then paul is not creative or generous. If someone is quiet or not quiet then someone is not patient or strong and vice versa. Everyone who is creative or not generous is either not quiet or old and vice versa. If someone is both not strong and funny then someone is not strong o... | Paul is strong. | entailment | ((?[X]:((~wise(X)&~funny(X))))=>((~creative(paul)|generous(paul))))&
((?[X]:((quiet(X)|~quiet(X))))<=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((creative(X)|~generous(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:((~strong(X)&funny(X))))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((generous(X)&happy(X))=>(~kind(X)&old(X))))&
(((~f... | strong(paul) | [
"p7",
"p9",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1950457229066445179743322
% SZS output start Proof for 1950457229066445179743322
8. ! [X0] : ((wise(X0) <~> calm(X0)) <=> (rich(X0) | ~strong(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (~rich(X0) | ~humble(X0))) [input p9]
11. ! [X0] : ((wise(X0) | ~generous(X0)) => (q... | 0 |
Everyone who is either not generous or calm is both not rich and not quiet. Everyone who is not kind is quiet or kind and vice versa. If john is not generous then someone is either funny or not quiet. Everyone who is either curious or humble is either not creative or not old and vice versa. If alice is both wise and no... | Lucy is kind. | contradiction | (![X]:((~generous(X)<~>calm(X))=>(~rich(X)&~quiet(X))))&
(![X]:(~kind(X)<=>(quiet(X)|kind(X))))&
((~generous(john))=>(?[X]:((funny(X)<~>~quiet(X)))))&
(![X]:((curious(X)<~>humble(X))<=>(~creative(X)<~>~old(X))))&
(((wise(alice)&~funny(alice)))=>((calm(alice)|patient(alice))))&
(![X]:((calm(X)|~generous(X))<=>(strong(X)... | kind(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6524020498746668373623900
% SZS output start Proof for 6524020498746668373623900
2. ! [X0] : (~kind(X0) <=> (kind(X0) | quiet(X0))) [input p1]
25. kind(lucy) [input hypothesis]
40. ! [X0] : ((~kind(X0) | (~kind(X0) & ~quiet(X0))) & ((kind(X0) | quiet(X0)) | kind(X0))) [nnf transformation ... | 0 |
If someone is either old or wise then lucy is old.
If fred is both not creative and not happy then susan is either not patient or curious and vice versa.
Everyone who is both not quiet and curious is either wise or kind and vice versa.
If someone is calm then alice is both creative and tall and vice versa.
Everyone who... | Lucy is not creative. | entailment | ((?[X]:((old(X)<~>wise(X))))=>(old(lucy)))&
(((~creative(fred)&~happy(fred)))<=>((~patient(susan)<~>curious(susan))))&
(![X]:((~quiet(X)&curious(X))<=>(wise(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~c... | ~creative(lucy) | [
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7469384800381567879824536
% SZS output start Proof for 7469384800381567879824536
12. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [input p11]
13. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p12]
14. ! [X0] : ((~creative(X0) & funny(X0))... | 0 |
If mary is either happy or not kind then someone is not calm or patient. If someone is quiet then john is kind. Everyone who is both strong and not calm is both not humble and old. Everyone who is not brave or patient is either happy or not rich and vice versa. Everyone who is kind is creative and vice versa. Everyone ... | John is not kind. | entailment | (((happy(mary)<~>~kind(mary)))=>(?[X]:((~calm(X)|patient(X)))))&
((?[X]:(quiet(X)))=>(kind(john)))&
(![X]:((strong(X)&~calm(X))=>(~humble(X)&old(X))))&
(![X]:((~brave(X)|patient(X))<=>(happy(X)<~>~rich(X))))&
(![X]:(kind(X)<=>creative(X)))&
(![X]:((happy(X)&~happy(X))<=>(creative(X)|rich(X))))&
(![X]:((~humble(X)&creat... | ~kind(john) | [
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2089779285370594413565235
% SZS output start Proof for 2089779285370594413565235
6. ! [X0] : ((~happy(X0) & happy(X0)) <=> (rich(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~brave(X0) & old(X0)) <=> (strong(X0) | ~creative(X0))) [input p7]
10. ! [X0] : (kind(X0) <=> (brave(X0) & calm(X0... | 0 |
Everyone who is calm or strong is curious and vice versa.
If paul is both strong and not calm then someone is either happy or not old and vice versa.
If susan is either not quiet or funny then someone is both funny and not brave.
Everyone who is both not quiet and rich is both wise and not quiet.
Everyone who is both c... | Fred is calm. | contradiction | (![X]:((calm(X)|strong(X))<=>curious(X)))&
(((strong(paul)&~calm(paul)))<=>(?[X]:((happy(X)<~>~old(X)))))&
(((~quiet(susan)<~>funny(susan)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~quiet(X)&rich(X))=>(wise(X)&~quiet(X))))&
(![X]:((creative(X)&~curious(X))<=>(brave(X)&curious(X))))&
((?[X]:(creative(X)))=>((~quiet(luc... | calm(fred) | [
"p0",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 855666876361905675860414
% SZS output start Proof for 855666876361905675860414
1. ! [X0] : ((strong(X0) | calm(X0)) <=> curious(X0)) [input p0]
7. ! [X0] : (curious(X0) <=> ~patient(X0)) [input p6]
11. ! [X0] : (~curious(X0) <=> (~generous(X0) | ~old(X0))) [input p10]
13. ! [X0] : ((~pati... | 0 |
Everyone who is both not generous and not wise is not happy.
Everyone who is not rich is both curious and not kind.
If someone is both not patient and rich then alice is both strong and not generous and vice versa.
Everyone who is happy is either happy or not kind.
If susan is both not rich and not brave then someone i... | Paul is strong. | contradiction | (![X]:((~generous(X)&~wise(X))=>~happy(X)))&
(![X]:(~rich(X)=>(curious(X)&~kind(X))))&
((?[X]:((~patient(X)&rich(X))))<=>((strong(alice)&~generous(alice))))&
(![X]:(happy(X)=>(happy(X)<~>~kind(X))))&
(((~rich(susan)&~brave(susan)))=>(?[X]:((~calm(X)&~wise(X)))))&
(![X]:(~wise(X)<=>(strong(X)<~>~curious(X))))&
(![X]:(~c... | strong(paul) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6865293147541686952281701
% SZS output start Proof for 6865293147541686952281701
2. ! [X0] : (~rich(X0) => (~kind(X0) & curious(X0))) [input p1]
4. ! [X0] : (happy(X0) => (happy(X0) <~> ~kind(X0))) [input p3]
10. ! [X0] : ((rich(X0) | ~creative(X0)) <=> ~strong(X0)) [input p9]
12. ! [X0] ... | 0 |
Everyone who is not rich or strong is not generous or generous. If someone is either wise or not humble then fred is either not rich or not strong and vice versa. Everyone who is both humble and tall is either humble or not brave. Everyone who is generous is either not creative or not patient and vice versa. If john is... | Susan is not humble. | contradiction | (![X]:((~rich(X)|strong(X))=>(~generous(X)|generous(X))))&
((?[X]:((wise(X)<~>~humble(X))))<=>((~rich(fred)<~>~strong(fred))))&
(![X]:((humble(X)&tall(X))=>(humble(X)<~>~brave(X))))&
(![X]:(generous(X)<=>(~creative(X)<~>~patient(X))))&
(((~tall(john)|~generous(john)))=>(?[X]:(creative(X))))&
((?[X]:((~old(X)&rich(X))))... | ~humble(susan) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7332034248090272583358756
% SZS output start Proof for 7332034248090272583358756
7. ! [X0] : ((~creative(X0) & brave(X0)) <=> (~rich(X0) | ~brave(X0))) [input p6]
12. ! [X0] : ((~brave(X0) & ~patient(X0)) <=> (~rich(X0) | ~humble(X0))) [input p11]
22. ~humble(susan) [input hypothesis]
47.... | 0 |
If john is patient or not quiet then someone is humble and vice versa.
Everyone who is either tall or generous is both tall and not strong and vice versa.
If someone is not old then someone is not rich or wise.
Everyone who is not humble or wise is creative or kind and vice versa.
Everyone who is either quiet or strong... | Susan is generous. | contradiction | (((patient(john)|~quiet(john)))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)<~>generous(X))<=>(tall(X)&~strong(X))))&
((?[X]:(~old(X)))=>(?[X]:((~rich(X)|wise(X)))))&
(![X]:((~humble(X)|wise(X))<=>(creative(X)|kind(X))))&
(![X]:((quiet(X)<~>strong(X))=>(~calm(X)|humble(X))))&
((tall(lucy))<=>((~patient(paul)&generous(paul)))... | generous(susan) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2690541632846275958538084
% SZS output start Proof for 2690541632846275958538084
2. ! [X0] : ((tall(X0) <~> generous(X0)) <=> (~strong(X0) & tall(X0))) [input p1]
10. ! [X0] : ((tall(X0) | curious(X0)) => (~strong(X0) | ~tall(X0))) [input p9]
24. generous(susan) [input hypothesis]
32. ! [... | 0 |
Everyone who is not creative is not wise or strong and vice versa.
If susan is not wise then someone is wise and vice versa.
Everyone who is not brave is either not generous or creative and vice versa.
If someone is not patient then someone is calm or curious.
Everyone who is both not wise and not funny is not generous... | Lucy is not tall. | entailment | (![X]:(~creative(X)<=>(~wise(X)|strong(X))))&
((~wise(susan))<=>(?[X]:(wise(X))))&
(![X]:(~brave(X)<=>(~generous(X)<~>creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:((calm(X)|curious(X)))))&
(![X]:((~wise(X)&~funny(X))=>(~generous(X)|~curious(X))))&
(![X]:((patient(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(((~curious(s... | ~tall(lucy) | [
"p5",
"p8",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4301130083015723716579641
% SZS output start Proof for 4301130083015723716579641
6. ! [X0] : ((patient(X0) <~> old(X0)) <=> (~humble(X0) & ~curious(X0))) [input p5]
9. ? [X0] : (~old(X0) & tall(X0)) <=> (quiet(alice) & ~quiet(alice)) [input p8]
18. ~patient(lucy) [input p17]
19. happy(luc... | 0 |
If john is not old then someone is generous or brave.
Everyone who is wise is either strong or not strong.
Everyone who is both strong and not rich is calm.
If someone is both funny and not strong then someone is either not happy or old and vice versa.
Everyone who is kind or not calm is either curious or tall and vice... | John is brave. | entailment | ((~old(john))=>(?[X]:((generous(X)|brave(X)))))&
(![X]:(wise(X)=>(strong(X)<~>~strong(X))))&
(![X]:((strong(X)&~rich(X))=>calm(X)))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((kind(X)|~calm(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~funny(X)|creative(X))=>~brave(X)))&
(((patient(john)<~>~qu... | brave(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9198902941289615203652877
% SZS output start Proof for 9198902941289615203652877
20. brave(john) [input p19]
25. ~brave(john) [input hypothesis]
129. brave(john) [cnf transformation 20]
138. ~brave(john) [cnf transformation 25]
263. 28 <=> brave(john) [avatar definition]
316. 28 [avatar s... | 0 |
Everyone who is humble or brave is funny. If susan is not curious or not old then someone is either curious or not old and vice versa. If mary is both tall and not happy then fred is strong and vice versa. Everyone who is either brave or curious is both not patient and brave and vice versa. If someone is quiet or brave... | Alice is generous. | neutral | (![X]:((humble(X)|brave(X))=>funny(X)))&
(((~curious(susan)|~old(susan)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(((tall(mary)&~happy(mary)))<=>(strong(fred)))&
(![X]:((brave(X)<~>curious(X))<=>(~patient(X)&brave(X))))&
((?[X]:((quiet(X)|brave(X))))<=>((~funny(fred)|~strong(fred))))&
(((~kind(susan)&funny(susan)))<=>(?[X]... | generous(alice) | [] | null | 0 |
If alice is rich then someone is old and vice versa.
Everyone who is either not quiet or happy is not tall and vice versa.
If someone is not curious or not calm then susan is both humble and not humble and vice versa.
Everyone who is happy or not happy is either not kind or not creative and vice versa.
Everyone who is ... | Mary is generous. | contradiction | ((rich(alice))<=>(?[X]:(old(X))))&
(![X]:((~quiet(X)<~>happy(X))<=>~tall(X)))&
((?[X]:((~curious(X)|~calm(X))))<=>((humble(susan)&~humble(susan))))&
(![X]:((happy(X)|~happy(X))<=>(~kind(X)<~>~creative(X))))&
(![X]:((~funny(X)<~>generous(X))=>(~patient(X)|wise(X))))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((~calm(X)&hap... | generous(mary) | [
"p2",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 516212002477030302738539
% SZS output start Proof for 516212002477030302738539
3. ? [X0] : (~calm(X0) | ~curious(X0)) <=> (~humble(susan) & humble(susan)) [input p2]
6. ? [X0] : (~humble(X0) | wise(X0)) <=> ? [X0] : (happy(X0) & ~calm(X0)) [input p5]
8. ? [X0] : generous(X0) <=> (wise(pau... | 0 |
Everyone who is either quiet or calm is both creative and generous and vice versa.
Everyone who is both kind and not brave is either not kind or tall.
Everyone who is either not rich or happy is both not generous and not calm.
If john is either not quiet or not tall then mary is both not brave and not humble.
Everyone ... | Mary is not rich. | entailment | (![X]:((quiet(X)<~>calm(X))<=>(creative(X)&generous(X))))&
(![X]:((kind(X)&~brave(X))=>(~kind(X)<~>tall(X))))&
(![X]:((~rich(X)<~>happy(X))=>(~generous(X)&~calm(X))))&
(((~quiet(john)<~>~tall(john)))=>((~brave(mary)&~humble(mary))))&
(![X]:((wise(X)&calm(X))=>(~humble(X)|calm(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(... | ~rich(mary) | [
"p0",
"p2",
"p7",
"p9",
"p12",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8897470427941463010690779
% SZS output start Proof for 8897470427941463010690779
1. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (generous(X0) & creative(X0))) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) => (~calm(X0) & ~generous(X0))) [input p2]
8. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~... | 0 |
If someone is not brave then someone is both not humble and rich. If someone is either happy or brave then someone is either not calm or tall. Everyone who is both not happy and not humble is not creative and vice versa. Everyone who is not kind is not old or kind and vice versa. Everyone who is generous or not curious... | Lucy is calm. | entailment | ((?[X]:(~brave(X)))=>(?[X]:((~humble(X)&rich(X)))))&
((?[X]:((happy(X)<~>brave(X))))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((~happy(X)&~humble(X))<=>~creative(X)))&
(![X]:(~kind(X)<=>(~old(X)|kind(X))))&
(![X]:((generous(X)|~curious(X))=>(~calm(X)<~>~kind(X))))&
(![X]:(~generous(X)=>(humble(X)&~strong(X))))&
((?[X]:((... | calm(lucy) | [
"p0",
"p3",
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5733384489412520682200686
% SZS output start Proof for 5733384489412520682200686
1. ? [X0] : ~brave(X0) => ? [X0] : (rich(X0) & ~humble(X0)) [input p0]
4. ! [X0] : (~kind(X0) <=> (kind(X0) | ~old(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | generous(X0)) => (~calm(X0) <~> ~kind(X0))) [in... | 0 |
Everyone who is quiet or not old is either not humble or not old.
Everyone who is old or not rich is either not calm or tall and vice versa.
If someone is either not calm or old then someone is not rich.
If paul is creative or happy then mary is rich.
Everyone who is not happy or not humble is not creative or strong.
E... | Mary is not rich. | entailment | (![X]:((quiet(X)|~old(X))=>(~humble(X)<~>~old(X))))&
(![X]:((old(X)|~rich(X))<=>(~calm(X)<~>tall(X))))&
((?[X]:((~calm(X)<~>old(X))))=>(?[X]:(~rich(X))))&
(((creative(paul)|happy(paul)))=>(rich(mary)))&
(![X]:((~happy(X)|~humble(X))=>(~creative(X)|strong(X))))&
(![X]:((happy(X)&humble(X))=>(~curious(X)&~quiet(X))))&
(!... | ~rich(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7071088027167744280951613
% SZS output start Proof for 7071088027167744280951613
17. ~rich(mary) & quiet(mary) [input p16]
23. rich(mary) [input hypothesis]
109. ~rich(mary) [cnf transformation 17]
116. rich(mary) [cnf transformation 23]
137. 5 <=> rich(mary) [avatar definition]
238. ~5 [... | 0 |
Everyone who is both brave and not quiet is either not strong or generous. Everyone who is kind is patient or not rich. Everyone who is both kind and not brave is happy and vice versa. Everyone who is not tall is either not brave or creative. Everyone who is not humble is both kind and not old and vice versa. If john i... | Alice is not creative. | entailment | (![X]:((brave(X)&~quiet(X))=>(~strong(X)<~>generous(X))))&
(![X]:(kind(X)=>(patient(X)|~rich(X))))&
(![X]:((kind(X)&~brave(X))<=>happy(X)))&
(![X]:(~tall(X)=>(~brave(X)<~>creative(X))))&
(![X]:(~humble(X)<=>(kind(X)&~old(X))))&
(((~patient(john)<~>curious(john)))<=>((~old(john)|~tall(john))))&
(![X]:(~tall(X)<=>creativ... | ~creative(alice) | [
"p2",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 906333140355989791569345
% SZS output start Proof for 906333140355989791569345
3. ! [X0] : ((~brave(X0) & kind(X0)) <=> happy(X0)) [input p2]
4. ! [X0] : (~tall(X0) => (~brave(X0) <~> creative(X0))) [input p3]
7. ! [X0] : (~tall(X0) <=> creative(X0)) [input p6]
14. ! [X0] : (~happy(X0) =>... | 0 |
If alice is wise then someone is either not calm or not rich. Everyone who is either quiet or kind is both wise and funny and vice versa. If susan is not humble then someone is either creative or curious. Everyone who is strong or humble is either not strong or not rich. Everyone who is not curious is humble or rich an... | John is not creative. | neutral | ((wise(alice))=>(?[X]:((~calm(X)<~>~rich(X)))))&
(![X]:((quiet(X)<~>kind(X))<=>(wise(X)&funny(X))))&
((~humble(susan))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:((strong(X)|humble(X))=>(~strong(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(humble(X)|rich(X))))&
(((~kind(susan)&~creative(susan)))=>(~patient(susan)))&
((?[X... | ~creative(john) | [] | null | 0 |
Everyone who is brave is not calm or rich and vice versa.
Everyone who is not creative or not brave is wise or funny and vice versa.
If fred is not quiet then paul is rich and vice versa.
Everyone who is patient or not funny is curious.
Everyone who is both not tall and not creative is both brave and happy.
Everyone wh... | Lucy is not brave. | contradiction | (![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient(X)|~funny(X))=>curious(X)))&
(![X]:((~tall(X)&~creative(X))=>(brave(X)&happy(X))))&
(![X]:((humble(X)&kind(X))<=>~happy(X)))&
(![X]:(brave(X)<=>(rich(X)|~wise(X))))&
(![X]:(cr... | ~brave(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5553892897645662630476933
% SZS output start Proof for 5553892897645662630476933
1. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input p0]
9. ! [X0] : (~brave(X0) <=> (calm(X0) & ~calm(X0))) [input p8]
25. ~brave(lucy) [input hypothesis]
38. ! [X0] : ((brave(X0) | (~rich(X0) & calm(X0... | 0 |
If susan is both strong and not generous then someone is generous or quiet. If lucy is not strong then susan is not kind or tall and vice versa. Everyone who is either not tall or curious is generous or not generous. If someone is not funny or happy then someone is kind or old and vice versa. Everyone who is either not... | Mary is not patient. | contradiction | (((strong(susan)&~generous(susan)))=>(?[X]:((generous(X)|quiet(X)))))&
((~strong(lucy))<=>((~kind(susan)|tall(susan))))&
(![X]:((~tall(X)<~>curious(X))=>(generous(X)|~generous(X))))&
((?[X]:((~funny(X)|happy(X))))<=>(?[X]:((kind(X)|old(X)))))&
(![X]:((~strong(X)<~>~generous(X))=>(calm(X)<~>old(X))))&
(![X]:(~rich(X)<=>... | ~patient(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2550460923573663305203993
% SZS output start Proof for 2550460923573663305203993
6. ! [X0] : (~rich(X0) <=> (rich(X0) & ~patient(X0))) [input p5]
25. ~patient(mary) [input hypothesis]
45. ! [X0] : ((~rich(X0) | (~rich(X0) | patient(X0))) & ((rich(X0) & ~patient(X0)) | rich(X0))) [nnf tran... | 0 |
Everyone who is either happy or not curious is not tall or curious and vice versa.
Everyone who is not wise is either not kind or humble and vice versa.
If lucy is curious or not kind then lucy is both not funny and generous and vice versa.
Everyone who is both not quiet and generous is both not tall and not happy.
Eve... | Lucy is not humble. | entailment | (![X]:((happy(X)<~>~curious(X))<=>(~tall(X)|curious(X))))&
(![X]:(~wise(X)<=>(~kind(X)<~>humble(X))))&
(((curious(lucy)|~kind(lucy)))<=>((~funny(lucy)&generous(lucy))))&
(![X]:((~quiet(X)&generous(X))=>(~tall(X)&~happy(X))))&
(![X]:((humble(X)&~generous(X))<=>(~funny(X)|rich(X))))&
(((quiet(susan)&strong(susan)))<=>((t... | ~humble(lucy) | [
"p1",
"p2",
"p4",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5688426479098229859329972
% SZS output start Proof for 5688426479098229859329972
2. ! [X0] : (~wise(X0) <=> (~kind(X0) <~> humble(X0))) [input p1]
3. (~kind(lucy) | curious(lucy)) <=> (generous(lucy) & ~funny(lucy)) [input p2]
5. ! [X0] : ((~generous(X0) & humble(X0)) <=> (rich(X0) | ~fun... | 0 |
Everyone who is either humble or not creative is happy or not patient and vice versa.
Everyone who is not wise is both patient and not funny and vice versa.
Everyone who is brave is both not creative and not humble and vice versa.
Everyone who is strong or not kind is either not calm or patient.
If someone is wise or n... | Lucy is not tall. | contradiction | (![X]:((humble(X)<~>~creative(X))<=>(happy(X)|~patient(X))))&
(![X]:(~wise(X)<=>(patient(X)&~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)&~humble(X))))&
(![X]:((strong(X)|~kind(X))=>(~calm(X)<~>patient(X))))&
((?[X]:((wise(X)|~brave(X))))<=>(~calm(lucy)))&
(![X]:((curious(X)&creative(X))<=>(wise(X)<~>~wise(X))))&
(((pa... | ~tall(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6522770575223794370872581
% SZS output start Proof for 6522770575223794370872581
2. ! [X0] : (~wise(X0) <=> (~funny(X0) & patient(X0))) [input p1]
3. ! [X0] : (brave(X0) <=> (~humble(X0) & ~creative(X0))) [input p2]
5. ? [X0] : (~brave(X0) | wise(X0)) <=> ~calm(lucy) [input p4]
6. ! [X0] ... | 0 |
Everyone who is creative or humble is both not brave and not humble.
Everyone who is not funny or not brave is not brave or not funny.
If someone is calm or brave then fred is either happy or not quiet and vice versa.
If someone is both not funny and creative then someone is either not happy or old.
If someone is wise ... | Paul is not old. | neutral | (![X]:((creative(X)|humble(X))=>(~brave(X)&~humble(X))))&
(![X]:((~funny(X)|~brave(X))=>(~brave(X)|~funny(X))))&
((?[X]:((calm(X)|brave(X))))<=>((happy(fred)<~>~quiet(fred))))&
((?[X]:((~funny(X)&creative(X))))=>(?[X]:((~happy(X)<~>old(X)))))&
((?[X]:(wise(X)))=>((generous(paul)<~>~calm(paul))))&
(![X]:((~kind(X)&~brav... | ~old(paul) | [] | null | 0 |
If fred is funny or brave then someone is creative or not curious and vice versa. If someone is patient or not humble then someone is both not humble and quiet and vice versa. Everyone who is patient is either happy or rich. If someone is wise or not generous then someone is both patient and quiet. If paul is not brave... | Alice is kind. | entailment | (((funny(fred)|brave(fred)))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((patient(X)|~humble(X))))<=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:(patient(X)=>(happy(X)<~>rich(X))))&
((?[X]:((wise(X)|~generous(X))))=>(?[X]:((patient(X)&quiet(X)))))&
((~brave(paul))<=>((generous(paul)<~>~calm(paul))))&
((?[X]:(tall(X)))=>(... | kind(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3379084778978683049562613
% SZS output start Proof for 3379084778978683049562613
16. ! [X0] : ((kind(X0) | wise(X0)) <=> (~wise(X0) <~> kind(X0))) [input p15]
24. ~kind(alice) [input hypothesis]
67. ! [X0] : (((kind(X0) | wise(X0)) | ((~wise(X0) | ~kind(X0)) & (kind(X0) | wise(X0)))) & ((... | 0 |
Everyone who is not creative or not calm is not patient. Everyone who is humble or quiet is both tall and calm. Everyone who is both not old and happy is both funny and humble. If lucy is not strong or not curious then fred is either not wise or not generous. If susan is either generous or not tall then someone is not ... | John is rich. | neutral | (![X]:((~creative(X)|~calm(X))=>~patient(X)))&
(![X]:((humble(X)|quiet(X))=>(tall(X)&calm(X))))&
(![X]:((~old(X)&happy(X))=>(funny(X)&humble(X))))&
(((~strong(lucy)|~curious(lucy)))=>((~wise(fred)<~>~generous(fred))))&
(((generous(susan)<~>~tall(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:(old(X)<=>(~generous(X)<~>... | rich(john) | [] | null | 0 |
If someone is both not rich and not generous then someone is both quiet and wise and vice versa.
Everyone who is creative is not happy or not humble and vice versa.
If alice is not generous or not wise then susan is both not humble and kind.
If susan is not creative or not quiet then john is either not tall or not wise... | Lucy is humble. | entailment | ((?[X]:((~rich(X)&~generous(X))))<=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:(creative(X)<=>(~happy(X)|~humble(X))))&
(((~generous(alice)|~wise(alice)))=>((~humble(susan)&kind(susan))))&
(((~creative(susan)|~quiet(susan)))=>((~tall(john)<~>~wise(john))))&
(((kind(lucy)<~>~humble(lucy)))=>(?[X]:((~brave(X)<~>curious(X)))))&
... | humble(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8211739996027543049731262
% SZS output start Proof for 8211739996027543049731262
17. ~quiet(lucy) & humble(lucy) [input p16]
25. ~humble(lucy) [input hypothesis]
163. humble(lucy) [cnf transformation 17]
176. ~humble(lucy) [cnf transformation 25]
248. 15 <=> humble(lucy) [avatar definitio... | 0 |
If paul is tall then john is not old or kind and vice versa.
Everyone who is rich is patient or not patient and vice versa.
Everyone who is either rich or not calm is both happy and calm.
If someone is both not happy and tall then someone is either tall or not old.
If mary is not creative then someone is not patient an... | Susan is not happy. | contradiction | ((tall(paul))<=>((~old(john)|kind(john))))&
(![X]:(rich(X)<=>(patient(X)|~patient(X))))&
(![X]:((rich(X)<~>~calm(X))=>(happy(X)&calm(X))))&
((?[X]:((~happy(X)&tall(X))))=>(?[X]:((tall(X)<~>~old(X)))))&
((~creative(mary))<=>(?[X]:(~patient(X))))&
(((~calm(john)<~>~rich(john)))<=>((~calm(mary)|~strong(mary))))&
(![X]:(~h... | ~happy(susan) | [
"p1",
"p2",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8347446819382379486380902
% SZS output start Proof for 8347446819382379486380902
2. ! [X0] : (rich(X0) <=> (~patient(X0) | patient(X0))) [input p1]
3. ! [X0] : ((rich(X0) <~> ~calm(X0)) => (calm(X0) & happy(X0))) [input p2]
13. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (kind(X0) <~> rich... | 0 |
If susan is both not happy and curious then paul is either calm or happy.
Everyone who is patient is not tall and vice versa.
Everyone who is both not brave and not happy is not patient and vice versa.
Everyone who is tall is both not strong and not curious and vice versa.
If fred is tall or happy then someone is both ... | Lucy is not brave. | contradiction | (((~happy(susan)&curious(susan)))=>((calm(paul)<~>happy(paul))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~brave(X)&~happy(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(~strong(X)&~curious(X))))&
(((tall(fred)|happy(fred)))<=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)|~calm(X))))&
((?[X]:((... | ~brave(lucy) | [
"p1",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5839521335728663499234338
% SZS output start Proof for 5839521335728663499234338
2. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p1]
3. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> ~patient(X0)) [input p2]
10. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> tall(X0)) [input p9]
23. ~brave(lucy) [in... | 0 |
If someone is not brave then someone is tall or not rich.
Everyone who is both not curious and patient is both patient and curious and vice versa.
If paul is not happy or not curious then someone is either not funny or strong.
Everyone who is either not creative or not generous is not strong or generous.
Everyone who i... | Alice is strong. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:((~curious(X)&patient(X))<=>(patient(X)&curious(X))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((brave(X)<~>~wise(X))=>(~kind(X)|funny(X))))&
(![X]:((strong(X)|fu... | strong(alice) | [] | null | 0 |
If paul is either not happy or calm then someone is either not curious or not brave and vice versa.
If someone is both not brave and old then mary is either not rich or not wise and vice versa.
Everyone who is both not brave and humble is either funny or not tall.
Everyone who is happy is brave or not old and vice vers... | Fred is not kind. | entailment | (((~happy(paul)<~>calm(paul)))<=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((~brave(X)&old(X))))<=>((~rich(mary)<~>~wise(mary))))&
(![X]:((~brave(X)&humble(X))=>(funny(X)<~>~tall(X))))&
(![X]:(happy(X)<=>(brave(X)|~old(X))))&
(![X]:((~patient(X)<~>~generous(X))=>old(X)))&
((?[X]:((~rich(X)<~>~generous(X))))=>((~gener... | ~kind(fred) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8317716577193609593359482
% SZS output start Proof for 8317716577193609593359482
9. ! [X0] : (~brave(X0) <=> (strong(X0) & ~kind(X0))) [input p8]
18. ~brave(fred) [input p17]
25. kind(fred) [input hypothesis]
51. ! [X0] : ((~brave(X0) | (~strong(X0) | kind(X0))) & ((strong(X0) & ~kind(X0)... | 0 |
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