premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not curious or rich then susan is either funny or not patient.
If susan is not rich or humble then lucy is either not quiet or not brave and vice versa.
Everyone who is both rich and not rich is both not quiet and tall and vice versa.
Everyone who is kind is either quiet or not happy and vice versa.
If jo... | Paul is not kind. | neutral | ((?[X]:((~curious(X)|rich(X))))=>((funny(susan)<~>~patient(susan))))&
(((~rich(susan)|humble(susan)))<=>((~quiet(lucy)<~>~brave(lucy))))&
(![X]:((rich(X)&~rich(X))<=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)<=>(quiet(X)<~>~happy(X))))&
(((happy(john)&~old(john)))=>(?[X]:(~curious(X))))&
((~brave(paul))=>(?[X]:((~quiet(X)|~... | ~kind(paul) | [] | null | 0 |
Everyone who is not patient or wise is both funny and tall. If someone is happy then mary is not generous or funny. If someone is funny then mary is either brave or not curious. Everyone who is not old is not patient. If someone is both not quiet and quiet then mary is happy. If someone is either not brave or not curio... | Paul is not funny. | contradiction | (![X]:((~patient(X)|wise(X))=>(funny(X)&tall(X))))&
((?[X]:(happy(X)))=>((~generous(mary)|funny(mary))))&
((?[X]:(funny(X)))=>((brave(mary)<~>~curious(mary))))&
(![X]:(~old(X)=>~patient(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(happy(mary)))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(fred)&strong(fred))))&
((?[X]:((o... | ~funny(paul) | [
"p0",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3614878315904673063439635
% SZS output start Proof for 3614878315904673063439635
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (tall(X0) & funny(X0))) [input p0]
10. ! [X0] : (~wise(X0) => ~strong(X0)) [input p9]
23. strong(paul) [input p22]
24. ~funny(paul) [input hypothesis]
30. ! [X0] : ((... | 0 |
If alice is not curious or not brave then someone is either calm or brave.
Everyone who is strong is quiet or funny and vice versa.
Everyone who is not rich is either calm or not strong.
Everyone who is both humble and calm is either not wise or quiet and vice versa.
Everyone who is wise is strong or creative and vice ... | Lucy is quiet. | contradiction | (((~curious(alice)|~brave(alice)))=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:(strong(X)<=>(quiet(X)|funny(X))))&
(![X]:(~rich(X)=>(calm(X)<~>~strong(X))))&
(![X]:((humble(X)&calm(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:(wise(X)<=>(strong(X)|creative(X))))&
(![X]:((~generous(X)|kind(X))=>happy(X)))&
(![X]:((creative(X)|~stron... | quiet(lucy) | [
"p1",
"p3",
"p4",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 311343600520116920376884
% SZS output start Proof for 311343600520116920376884
2. ! [X0] : (strong(X0) <=> (funny(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((calm(X0) & humble(X0)) <=> (~wise(X0) <~> quiet(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (creative(X0) | strong(X0))) [input p4]
1... | 0 |
Everyone who is calm or creative is either calm or not creative and vice versa.
Everyone who is either happy or old is either not kind or not brave.
If paul is rich or not brave then someone is both not kind and not happy.
Everyone who is either generous or not generous is both not strong and not patient and vice versa... | Paul is not calm. | contradiction | (![X]:((calm(X)|creative(X))<=>(calm(X)<~>~creative(X))))&
(![X]:((happy(X)<~>old(X))=>(~kind(X)<~>~brave(X))))&
(((rich(paul)|~brave(paul)))=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((generous(X)<~>~generous(X))<=>(~strong(X)&~patient(X))))&
(((~generous(paul)<~>~calm(paul)))=>((~creative(alice)&kind(alice))))&
(((~funn... | ~calm(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7427136290179355818369
% SZS output start Proof for 7427136290179355818369
1. ! [X0] : ((creative(X0) | calm(X0)) <=> (calm(X0) <~> ~creative(X0))) [input p0]
23. ~calm(paul) [input hypothesis]
31. ! [X0] : (((creative(X0) | calm(X0)) | ((calm(X0) | creative(X0)) & (~creative(X0) | ~calm(... | 0 |
Everyone who is either not patient or not creative is both not rich and humble.
If someone is both rich and strong then someone is not curious or kind.
If paul is brave or humble then someone is both not patient and not rich.
Everyone who is not calm is not generous or not rich.
If someone is not strong or not rich the... | Fred is generous. | contradiction | (![X]:((~patient(X)<~>~creative(X))=>(~rich(X)&humble(X))))&
((?[X]:((rich(X)&strong(X))))=>(?[X]:((~curious(X)|kind(X)))))&
(((brave(paul)|humble(paul)))=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:(~calm(X)=>(~generous(X)|~rich(X))))&
((?[X]:((~strong(X)|~rich(X))))<=>(funny(john)))&
((?[X]:((curious(X)&~quiet(X))))<=>(... | generous(fred) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8392246599644975893883548
% SZS output start Proof for 8392246599644975893883548
8. ! [X0] : (creative(X0) <=> (~creative(X0) & ~wise(X0))) [input p7]
15. ! [X0] : ((~funny(X0) & ~generous(X0)) <=> (~generous(X0) <~> wise(X0))) [input p14]
22. generous(fred) [input hypothesis]
55. ! [X0] ... | 0 |
If someone is curious or not curious then someone is either tall or not generous and vice versa. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is either old or curious then someone is calm. Everyone who is... | Susan is generous. | entailment | ((?[X]:((curious(X)|~curious(X))))<=>(?[X]:((tall(X)<~>~generous(X)))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]:((~curious(X)<~>patient(X))<=>(~old(X... | generous(susan) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8403514010127994881498674
% SZS output start Proof for 8403514010127994881498674
9. ! [X0] : (curious(X0) <=> ~strong(X0)) [input p8]
14. ? [X0] : (kind(X0) | ~generous(X0)) => (strong(susan) & curious(susan)) [input p13]
23. ~generous(susan) [input hypothesis]
33. (strong(susan) & curiou... | 0 |
Everyone who is not rich is either quiet or not calm and vice versa. If someone is not happy then alice is both old and not brave and vice versa. Everyone who is rich is not old or not curious. Everyone who is both old and funny is either funny or humble. If someone is both tall and not patient then paul is either tall... | Alice is not curious. | entailment | (![X]:(~rich(X)<=>(quiet(X)<~>~calm(X))))&
((?[X]:(~happy(X)))<=>((old(alice)&~brave(alice))))&
(![X]:(rich(X)=>(~old(X)|~curious(X))))&
(![X]:((old(X)&funny(X))=>(funny(X)<~>humble(X))))&
((?[X]:((tall(X)&~patient(X))))=>((tall(paul)<~>funny(paul))))&
(![X]:((~creative(X)|~humble(X))=>rich(X)))&
((?[X]:((~calm(X)<~>ca... | ~curious(alice) | [
"p1",
"p2",
"p5",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7046781993994222504996138
% SZS output start Proof for 7046781993994222504996138
2. ? [X0] : ~happy(X0) <=> (~brave(alice) & old(alice)) [input p1]
3. ! [X0] : (rich(X0) => (~curious(X0) | ~old(X0))) [input p2]
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => rich(X0)) [input p5]
19. ~quiet(... | 0 |
If someone is not strong or generous then fred is not brave or funny.
If someone is not tall or not generous then mary is both strong and not wise and vice versa.
Everyone who is brave is either quiet or wise and vice versa.
Everyone who is kind is either not calm or curious.
Everyone who is not humble or not quiet is ... | Fred is old. | neutral | ((?[X]:((~strong(X)|generous(X))))=>((~brave(fred)|funny(fred))))&
((?[X]:((~tall(X)|~generous(X))))<=>((strong(mary)&~wise(mary))))&
(![X]:(brave(X)<=>(quiet(X)<~>wise(X))))&
(![X]:(kind(X)=>(~calm(X)<~>curious(X))))&
(![X]:((~humble(X)|~quiet(X))<=>kind(X)))&
(((wise(mary)&happy(mary)))<=>((generous(alice)|~humble(al... | old(fred) | [] | null | 0 |
If paul is not creative or not quiet then lucy is either brave or quiet.
If susan is both happy and not calm then susan is either not kind or not rich and vice versa.
If susan is both rich and strong then someone is not funny and vice versa.
Everyone who is not brave is both not generous and patient and vice versa.
Eve... | Susan is curious. | entailment | (((~creative(paul)|~quiet(paul)))=>((brave(lucy)<~>quiet(lucy))))&
(((happy(susan)&~calm(susan)))<=>((~kind(susan)<~>~rich(susan))))&
(((rich(susan)&strong(susan)))<=>(?[X]:(~funny(X))))&
(![X]:(~brave(X)<=>(~generous(X)&patient(X))))&
(![X]:((~happy(X)|rich(X))<=>(~happy(X)<~>~old(X))))&
((?[X]:(~tall(X)))=>((~curious... | curious(susan) | [
"p5",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 871318231300317039282944
% SZS output start Proof for 871318231300317039282944
6. ? [X0] : ~tall(X0) => (~calm(john) & ~curious(john)) [input p5]
7. ! [X0] : ((~kind(X0) <~> ~tall(X0)) => curious(X0)) [input p6]
15. ! [X0] : (~kind(X0) => (curious(X0) & tall(X0))) [input p14]
16. ! [X0] :... | 0 |
Everyone who is not wise is not quiet.
If someone is both brave and not quiet then someone is wise or not funny.
Everyone who is not quiet is both humble and not generous.
If fred is not kind or not tall then mary is patient or not rich and vice versa.
Everyone who is brave or not quiet is both not calm and curious and... | Paul is not curious. | entailment | (![X]:(~wise(X)=>~quiet(X)))&
((?[X]:((brave(X)&~quiet(X))))=>(?[X]:((wise(X)|~funny(X)))))&
(![X]:(~quiet(X)=>(humble(X)&~generous(X))))&
(((~kind(fred)|~tall(fred)))<=>((patient(mary)|~rich(mary))))&
(![X]:((brave(X)|~quiet(X))<=>(~calm(X)&curious(X))))&
(((~calm(fred)|creative(fred)))<=>((~creative(susan)|~kind(susa... | ~curious(paul) | [
"p0",
"p2",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6245102794133589748130536
% SZS output start Proof for 6245102794133589748130536
1. ! [X0] : (~wise(X0) => ~quiet(X0)) [input p0]
3. ! [X0] : (~quiet(X0) => (~generous(X0) & humble(X0))) [input p2]
8. (~tall(fred) & ~wise(fred)) <=> (curious(paul) | ~old(paul)) [input p7]
22. generous(fre... | 0 |
Everyone who is not rich is either not calm or brave and vice versa.
Everyone who is either funny or not quiet is both humble and not tall and vice versa.
Everyone who is not old or kind is not quiet or brave.
Everyone who is either not old or brave is not kind.
If fred is not patient then someone is both quiet and kin... | Paul is not humble. | entailment | (![X]:(~rich(X)<=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)<~>~quiet(X))<=>(humble(X)&~tall(X))))&
(![X]:((~old(X)|kind(X))=>(~quiet(X)|brave(X))))&
(![X]:((~old(X)<~>brave(X))=>~kind(X)))&
((~patient(fred))<=>(?[X]:((quiet(X)&kind(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:((genero... | ~humble(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8376488035772217306186660
% SZS output start Proof for 8376488035772217306186660
21. ~humble(paul) & tall(paul) [input p20]
24. humble(paul) [input hypothesis]
140. ~humble(paul) [cnf transformation 21]
144. humble(paul) [cnf transformation 24]
308. $false [subsumption resolution 144,140]... | 0 |
If someone is generous then someone is patient or tall and vice versa.
Everyone who is both not patient and not happy is either funny or not tall.
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is ... | Susan is strong. | contradiction | ((?[X]:(generous(X)))<=>(?[X]:((patient(X)|tall(X)))))&
(![X]:((~patient(X)&~happy(X))=>(funny(X)<~>~tall(X))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))... | strong(susan) | [
"p2",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6851654969327642672356474
% SZS output start Proof for 6851654969327642672356474
3. ! [X0] : (~brave(X0) <=> rich(X0)) [input p2]
7. ! [X0] : ((~patient(X0) | creative(X0)) => (brave(X0) <~> creative(X0))) [input p6]
9. ! [X0] : ((~old(X0) | ~rich(X0)) <=> patient(X0)) [input p8]
11. ! [X... | 0 |
If susan is both old and strong then alice is not humble or not happy.
Everyone who is not curious is either not humble or not creative and vice versa.
If someone is not curious or not patient then paul is not rich or rich and vice versa.
Everyone who is funny is either brave or not calm and vice versa.
Everyone who is... | Susan is not creative. | contradiction | (((old(susan)&strong(susan)))=>((~humble(alice)|~happy(alice))))&
(![X]:(~curious(X)<=>(~humble(X)<~>~creative(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>((~rich(paul)|rich(paul))))&
(![X]:(funny(X)<=>(brave(X)<~>~calm(X))))&
(![X]:((~tall(X)|~wise(X))=>(curious(X)|patient(X))))&
(![X]:((kind(X)|~kind(X))=>(quiet(X)|... | ~creative(susan) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2181727039120700713888683
% SZS output start Proof for 2181727039120700713888683
11. ! [X0] : ((quiet(X0) <~> ~brave(X0)) <=> quiet(X0)) [input p10]
16. ! [X0] : (brave(X0) => creative(X0)) [input p15]
24. ~creative(susan) [input hypothesis]
41. ! [X0] : (creative(X0) | ~brave(X0)) [ennf ... | 0 |
If alice is either humble or not wise then someone is not funny.
Everyone who is either not quiet or kind is both curious and brave and vice versa.
Everyone who is creative is kind or generous.
If someone is not rich or happy then mary is not brave or happy.
Everyone who is both not patient and not kind is not curious ... | John is tall. | entailment | (((humble(alice)<~>~wise(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(curious(X)&brave(X))))&
(![X]:(creative(X)=>(kind(X)|generous(X))))&
((?[X]:((~rich(X)|happy(X))))=>((~brave(mary)|happy(mary))))&
(![X]:((~patient(X)&~kind(X))<=>~curious(X)))&
(((~quiet(john)|wise(john)))<=>(?[X]:((curious(X)&~cur... | tall(john) | [
"p6",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 225602122827963110140588
% SZS output start Proof for 225602122827963110140588
7. ! [X0] : ((kind(X0) & old(X0)) <=> (~old(X0) <~> creative(X0))) [input p6]
8. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p7]
11. ! [X0] : (creative(X0) => (~happy(X0) & humble(X0))... | 0 |
Everyone who is not generous or not curious is both curious and not tall and vice versa.
Everyone who is both not humble and calm is not rich.
Everyone who is either not creative or not happy is calm.
Everyone who is strong is patient.
Everyone who is both not curious and strong is either wise or not creative.
If someo... | Susan is rich. | entailment | (![X]:((~generous(X)|~curious(X))<=>(curious(X)&~tall(X))))&
(![X]:((~humble(X)&calm(X))=>~rich(X)))&
(![X]:((~creative(X)<~>~happy(X))=>calm(X)))&
(![X]:(strong(X)=>patient(X)))&
(![X]:((~curious(X)&strong(X))=>(wise(X)<~>~creative(X))))&
((?[X]:((~generous(X)<~>creative(X))))=>((calm(susan)&~strong(susan))))&
((?[X]:... | rich(susan) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2410773935109247508178051
% SZS output start Proof for 2410773935109247508178051
10. ! [X0] : (strong(X0) <=> (rich(X0) & ~brave(X0))) [input p9]
14. ! [X0] : (~strong(X0) => (rich(X0) & ~patient(X0))) [input p13]
22. ~rich(susan) [input hypothesis]
33. ! [X0] : ((rich(X0) & ~patient(X0))... | 0 |
Everyone who is both wise and not funny is rich and vice versa.
Everyone who is happy is not patient or not funny.
Everyone who is curious or calm is both not rich and not generous and vice versa.
Everyone who is both patient and not happy is both quiet and calm.
Everyone who is not curious or not brave is either gener... | Lucy is generous. | contradiction | (![X]:((wise(X)&~funny(X))<=>rich(X)))&
(![X]:(happy(X)=>(~patient(X)|~funny(X))))&
(![X]:((curious(X)|calm(X))<=>(~rich(X)&~generous(X))))&
(![X]:((patient(X)&~happy(X))=>(quiet(X)&calm(X))))&
(![X]:((~curious(X)|~brave(X))<=>(generous(X)<~>funny(X))))&
(((curious(john)<~>~creative(john)))<=>((old(lucy)<~>~patient(luc... | generous(lucy) | [
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1506602039169447718503719
% SZS output start Proof for 1506602039169447718503719
3. ! [X0] : ((calm(X0) | curious(X0)) <=> (~generous(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((~brave(X0) | ~curious(X0)) <=> (generous(X0) <~> funny(X0))) [input p4]
10. ! [X0] : (~curious(X0) <=> funny(X0)... | 0 |
Everyone who is funny is both not quiet and curious. If fred is not quiet or not kind then someone is both happy and creative and vice versa. If susan is both strong and not patient then someone is either curious or quiet. Everyone who is creative is funny. Everyone who is not brave is either brave or not happy and vic... | Paul is not humble. | neutral | (![X]:(funny(X)=>(~quiet(X)&curious(X))))&
(((~quiet(fred)|~kind(fred)))<=>(?[X]:((happy(X)&creative(X)))))&
(((strong(susan)&~patient(susan)))=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:(creative(X)=>funny(X)))&
(![X]:(~brave(X)<=>(brave(X)<~>~happy(X))))&
(![X]:(~old(X)=>(generous(X)<~>~patient(X))))&
(((patient(lucy)... | ~humble(paul) | [] | null | 0 |
If someone is either not brave or not tall then susan is not quiet.
Everyone who is both not strong and not old is both not tall and not happy.
Everyone who is either patient or not calm is not patient and vice versa.
Everyone who is both generous and funny is curious and vice versa.
If paul is either humble or not hum... | Fred is brave. | contradiction | ((?[X]:((~brave(X)<~>~tall(X))))=>(~quiet(susan)))&
(![X]:((~strong(X)&~old(X))=>(~tall(X)&~happy(X))))&
(![X]:((patient(X)<~>~calm(X))<=>~patient(X)))&
(![X]:((generous(X)&funny(X))<=>curious(X)))&
(((humble(paul)<~>~humble(paul)))<=>(creative(fred)))&
(![X]:(patient(X)=>(generous(X)<~>curious(X))))&
((?[X]:((funny(X)... | brave(fred) | [
"p2",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6470252702938890300580624
% SZS output start Proof for 6470252702938890300580624
3. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> ~patient(X0)) [input p2]
13. ! [X0] : ((~calm(X0) & generous(X0)) => ~brave(X0)) [input p12]
23. strong(fred) & generous(fred) [input p22]
25. brave(fred) [input h... | 0 |
If someone is either not kind or not strong then someone is curious or not brave. Everyone who is either tall or rich is calm or wise. Everyone who is not wise or not calm is either not old or old and vice versa. If john is both happy and not calm then john is either rich or patient and vice versa. Everyone who is both... | Paul is not quiet. | entailment | ((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:((tall(X)<~>rich(X))=>(calm(X)|wise(X))))&
(![X]:((~wise(X)|~calm(X))<=>(~old(X)<~>old(X))))&
(((happy(john)&~calm(john)))<=>((rich(john)<~>patient(john))))&
(![X]:((old(X)&kind(X))=>(~old(X)|~creative(X))))&
(((funny(paul)|strong(paul)))=>(?[X]... | ~quiet(paul) | [
"p2",
"p9",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1046451797751504981862642
% SZS output start Proof for 1046451797751504981862642
3. ! [X0] : ((~calm(X0) | ~wise(X0)) <=> (~old(X0) <~> old(X0))) [input p2]
10. ! [X0] : ((~generous(X0) <~> wise(X0)) <=> ~calm(X0)) [input p9]
14. ! [X0] : ((~curious(X0) | quiet(X0)) => (~generous(X0) | ~c... | 0 |
If paul is both not funny and not generous then mary is either not tall or tall. If lucy is curious then john is both not rich and not tall and vice versa. If someone is either happy or tall then paul is not old or not quiet. If susan is tall or not brave then paul is either not old or quiet. Everyone who is either not... | Mary is quiet. | neutral | (((~funny(paul)&~generous(paul)))=>((~tall(mary)<~>tall(mary))))&
((curious(lucy))<=>((~rich(john)&~tall(john))))&
((?[X]:((happy(X)<~>tall(X))))=>((~old(paul)|~quiet(paul))))&
(((tall(susan)|~brave(susan)))=>((~old(paul)<~>quiet(paul))))&
(![X]:((~curious(X)<~>~humble(X))<=>(kind(X)|curious(X))))&
(![X]:((curious(X)|b... | quiet(mary) | [] | null | 0 |
If paul is both old and happy then someone is brave or curious and vice versa. Everyone who is either not wise or strong is either not generous or quiet. Everyone who is not humble or old is either kind or curious and vice versa. Everyone who is both calm and not humble is both humble and creative and vice versa. If pa... | John is not wise. | neutral | (((old(paul)&happy(paul)))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~wise(X)<~>strong(X))=>(~generous(X)<~>quiet(X))))&
(![X]:((~humble(X)|old(X))<=>(kind(X)<~>curious(X))))&
(![X]:((calm(X)&~humble(X))<=>(humble(X)&creative(X))))&
(((~patient(paul)|~creative(paul)))<=>(~patient(mary)))&
(![X]:((~funny(X)&~happy(X))=... | ~wise(john) | [] | null | 0 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is either patient or rich is not happy or kind.
Everyone who is not old or tall is happy and vice versa.
Everyone who is both not kind and rich is humble.
Everyone who is generous is wise.
Everyone who is both quiet and humble i... | Paul is not old. | neutral | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~old(X)|tall(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|strong(X))))&
(![X]:((kind(X)|tall(X))=>(strong(X)&generous(X)... | ~old(paul) | [] | null | 0 |
If mary is humble or not creative then paul is not tall. Everyone who is both quiet and not humble is tall or not curious and vice versa. Everyone who is either not patient or humble is not generous or not brave and vice versa. If someone is not kind then someone is curious or humble. If someone is either funny or not ... | Susan is not kind. | neutral | (((humble(mary)|~creative(mary)))=>(~tall(paul)))&
(![X]:((quiet(X)&~humble(X))<=>(tall(X)|~curious(X))))&
(![X]:((~patient(X)<~>humble(X))<=>(~generous(X)|~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((curious(X)|humble(X)))))&
((?[X]:((funny(X)<~>~generous(X))))<=>(?[X]:((~curious(X)&~brave(X)))))&
(![X]:((~old(X)|~genero... | ~kind(susan) | [] | null | 0 |
If someone is both not strong and not funny then lucy is not wise.
If someone is both happy and calm then someone is both not generous and not old and vice versa.
Everyone who is both not tall and not kind is both quiet and generous.
If paul is both not generous and not creative then someone is both strong and brave.
E... | Mary is tall. | neutral | ((?[X]:((~strong(X)&~funny(X))))=>(~wise(lucy)))&
((?[X]:((happy(X)&calm(X))))<=>(?[X]:((~generous(X)&~old(X)))))&
(![X]:((~tall(X)&~kind(X))=>(quiet(X)&generous(X))))&
(((~generous(paul)&~creative(paul)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:((creative(X)&kind(X))=>generous(X)))&
(![X]:((~creative(X)|wise(X))<=>(~ca... | tall(mary) | [] | null | 0 |
Everyone who is humble is not calm and vice versa.
Everyone who is both happy and humble is either old or not happy and vice versa.
Everyone who is either generous or not funny is not humble.
Everyone who is not generous is both not creative and not humble and vice versa.
If someone is both not brave and generous then ... | Alice is not curious. | neutral | (![X]:(humble(X)<=>~calm(X)))&
(![X]:((happy(X)&humble(X))<=>(old(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~funny(X))=>~humble(X)))&
(![X]:(~generous(X)<=>(~creative(X)&~humble(X))))&
((?[X]:((~brave(X)&generous(X))))<=>((kind(lucy)|generous(lucy))))&
(![X]:(~happy(X)=>(~humble(X)<~>~funny(X))))&
(![X]:(tall(X)<=>(~kin... | ~curious(alice) | [] | null | 0 |
If someone is kind or not rich then someone is both quiet and not kind. Everyone who is both old and not tall is not quiet or patient and vice versa. Everyone who is not wise is not calm. Everyone who is either brave or not rich is both wise and rich. Everyone who is wise or not funny is humble. Everyone who is wise is... | Susan is calm. | entailment | ((?[X]:((kind(X)|~rich(X))))=>(?[X]:((quiet(X)&~kind(X)))))&
(![X]:((old(X)&~tall(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~wise(X)=>~calm(X)))&
(![X]:((brave(X)<~>~rich(X))=>(wise(X)&rich(X))))&
(![X]:((wise(X)|~funny(X))=>humble(X)))&
(![X]:(wise(X)<=>~curious(X)))&
((?[X]:((curious(X)<~>~brave(X))))=>(?[X]:((creative(... | calm(susan) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 27391704941122007103575
% SZS output start Proof for 27391704941122007103575
1. ? [X0] : (~rich(X0) | kind(X0)) => ? [X0] : (~kind(X0) & quiet(X0)) [input p0]
3. ! [X0] : (~wise(X0) => ~calm(X0)) [input p2]
4. ! [X0] : ((brave(X0) <~> ~rich(X0)) => (rich(X0) & wise(X0))) [input p3]
6. ! [... | 0 |
Everyone who is not humble is both not creative and patient and vice versa.
Everyone who is not brave or not old is patient and vice versa.
Everyone who is either curious or not wise is old and vice versa.
Everyone who is brave is both not tall and not old and vice versa.
If paul is either generous or not humble then l... | Lucy is not creative. | entailment | (![X]:(~humble(X)<=>(~creative(X)&patient(X))))&
(![X]:((~brave(X)|~old(X))<=>patient(X)))&
(![X]:((curious(X)<~>~wise(X))<=>old(X)))&
(![X]:(brave(X)<=>(~tall(X)&~old(X))))&
(((generous(paul)<~>~humble(paul)))<=>((~patient(lucy)|wise(lucy))))&
((?[X]:(~rich(X)))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:(happy(X)<=>~o... | ~creative(lucy) | [
"p0",
"p1",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 125086216672147772496435
% SZS output start Proof for 125086216672147772496435
1. ! [X0] : (~humble(X0) <=> (patient(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~brave(X0)) <=> patient(X0)) [input p1]
4. ! [X0] : (brave(X0) <=> (~old(X0) & ~tall(X0))) [input p3]
15. ! [X0] :... | 0 |
Everyone who is either not quiet or not brave is happy and vice versa.
If fred is not generous or not tall then mary is not creative and vice versa.
Everyone who is not calm or happy is not strong and vice versa.
Everyone who is curious is not wise and vice versa.
If paul is both quiet and not funny then someone is eit... | John is funny. | contradiction | (![X]:((~quiet(X)<~>~brave(X))<=>happy(X)))&
(((~generous(fred)|~tall(fred)))<=>(~creative(mary)))&
(![X]:((~calm(X)|happy(X))<=>~strong(X)))&
(![X]:(curious(X)<=>~wise(X)))&
(((quiet(paul)&~funny(paul)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
((?[X]:((funny(X)|wise(X))))<=>(?[X]:((~wise(X)<~>calm(X)))))&
(![X]:((~creative... | funny(john) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3318473787172788766469705
% SZS output start Proof for 3318473787172788766469705
13. ? [X0] : (~quiet(X0) | ~tall(X0)) <=> ~funny(john) [input p12]
17. ? [X0] : ~quiet(X0) [input p16]
25. funny(john) [input hypothesis]
64. (? [X0] : (~quiet(X0) | ~tall(X0)) | funny(john)) & (~funny(john) ... | 0 |
If john is both not quiet and rich then someone is rich.
If someone is both not wise and patient then someone is either not patient or old.
Everyone who is patient or not strong is strong and vice versa.
Everyone who is not humble is old or funny.
Everyone who is both not calm and old is either not happy or kind and vi... | John is quiet. | contradiction | (((~quiet(john)&rich(john)))=>(?[X]:(rich(X))))&
((?[X]:((~wise(X)&patient(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:((patient(X)|~strong(X))<=>strong(X)))&
(![X]:(~humble(X)=>(old(X)|funny(X))))&
(![X]:((~calm(X)&old(X))<=>(~happy(X)<~>kind(X))))&
((?[X]:((~brave(X)<~>~wise(X))))<=>((wise(alice)<~>~curious(alice)... | quiet(john) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 559586238715808898870763
% SZS output start Proof for 559586238715808898870763
9. ! [X0] : ((~wise(X0) & humble(X0)) <=> (humble(X0) & wise(X0))) [input p8]
10. ! [X0] : ((creative(X0) | quiet(X0)) => (humble(X0) & funny(X0))) [input p9]
25. quiet(john) [input hypothesis]
37. ! [X0] : ((h... | 0 |
If lucy is both kind and funny then someone is either not brave or not humble and vice versa. If mary is not humble or not generous then susan is both not humble and not wise. Everyone who is kind or not patient is both not brave and not rich and vice versa. Everyone who is both rich and not strong is old and vice vers... | Mary is not creative. | contradiction | (((kind(lucy)&funny(lucy)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~humble(mary)|~generous(mary)))=>((~humble(susan)&~wise(susan))))&
(![X]:((kind(X)|~patient(X))<=>(~brave(X)&~rich(X))))&
(![X]:((rich(X)&~strong(X))<=>old(X)))&
(![X]:((~brave(X)&funny(X))<=>(kind(X)|curious(X))))&
((?[X]:(brave(X)))=>((old(mary)&pat... | ~creative(mary) | [
"p4",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2740940394154684887699783
% SZS output start Proof for 2740940394154684887699783
5. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (curious(X0) | kind(X0))) [input p4]
11. ! [X0] : (~funny(X0) <=> wise(X0)) [input p10]
16. ? [X0] : (curious(X0) & ~wise(X0)) <=> (creative(mary) & strong(mary)) [in... | 0 |
If susan is either kind or not creative then susan is not calm or generous and vice versa. If john is both curious and not generous then someone is both brave and not brave. Everyone who is either happy or humble is either generous or not patient. Everyone who is not old is not humble and vice versa. If fred is either ... | Susan is not curious. | neutral | (((kind(susan)<~>~creative(susan)))<=>((~calm(susan)|generous(susan))))&
(((curious(john)&~generous(john)))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((happy(X)<~>humble(X))=>(generous(X)<~>~patient(X))))&
(![X]:(~old(X)<=>~humble(X)))&
(((~funny(fred)<~>~kind(fred)))=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(wise(X)=>(~strong... | ~curious(susan) | [] | null | 0 |
Everyone who is either tall or not brave is not wise and vice versa.
Everyone who is rich is not rich or generous and vice versa.
If someone is both not rich and not old then someone is not brave.
Everyone who is either happy or not old is old or calm and vice versa.
Everyone who is old is both not rich and not curious... | Mary is not tall. | contradiction | (![X]:((tall(X)<~>~brave(X))<=>~wise(X)))&
(![X]:(rich(X)<=>(~rich(X)|generous(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:(~brave(X))))&
(![X]:((happy(X)<~>~old(X))<=>(old(X)|calm(X))))&
(![X]:(old(X)<=>(~rich(X)&~curious(X))))&
(![X]:((strong(X)&~patient(X))<=>(~rich(X)|~tall(X))))&
(![X]:((~wise(X)<~>tall(X))<=>(~hap... | ~tall(mary) | [
"p1",
"p3",
"p4",
"p6",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4852306265432760712216484
% SZS output start Proof for 4852306265432760712216484
2. ! [X0] : (rich(X0) <=> (generous(X0) | ~rich(X0))) [input p1]
4. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> (calm(X0) | old(X0))) [input p3]
5. ! [X0] : (old(X0) <=> (~curious(X0) & ~rich(X0))) [input p4]
7. !... | 0 |
If someone is either brave or not tall then fred is both not quiet and tall.
Everyone who is curious or wise is not brave or patient and vice versa.
If someone is not old then someone is old and vice versa.
Everyone who is not strong or generous is not tall.
Everyone who is not quiet or brave is not funny.
Everyone who... | Lucy is funny. | neutral | ((?[X]:((brave(X)<~>~tall(X))))=>((~quiet(fred)&tall(fred))))&
(![X]:((curious(X)|wise(X))<=>(~brave(X)|patient(X))))&
((?[X]:(~old(X)))<=>(?[X]:(old(X))))&
(![X]:((~strong(X)|generous(X))=>~tall(X)))&
(![X]:((~quiet(X)|brave(X))=>~funny(X)))&
(![X]:((~wise(X)<~>old(X))=>curious(X)))&
((?[X]:(~kind(X)))=>((~tall(paul)&... | funny(lucy) | [] | null | 0 |
Everyone who is both generous and not wise is either generous or not creative. Everyone who is either not brave or not generous is both rich and strong. If lucy is curious or wise then someone is not kind or generous and vice versa. If someone is generous or rich then mary is both wise and creative and vice versa. Ever... | Mary is not wise. | contradiction | (![X]:((generous(X)&~wise(X))=>(generous(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>~generous(X))=>(rich(X)&strong(X))))&
(((curious(lucy)|wise(lucy)))<=>(?[X]:((~kind(X)|generous(X)))))&
((?[X]:((generous(X)|rich(X))))<=>((wise(mary)&creative(mary))))&
(![X]:((~creative(X)<~>~strong(X))<=>(strong(X)&~brave(X))))&
(![X]... | ~wise(mary) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6618062561658452616488228
% SZS output start Proof for 6618062561658452616488228
4. ? [X0] : (rich(X0) | generous(X0)) <=> (creative(mary) & wise(mary)) [input p3]
14. ? [X0] : (~wise(X0) | ~calm(X0)) => ? [X0] : (rich(X0) & funny(X0)) [input p13]
24. ~wise(mary) [input hypothesis]
26. ? ... | 0 |
Everyone who is strong or funny is both quiet and not tall. Everyone who is calm or not curious is not happy or not humble. If someone is not strong then someone is either not old or not generous and vice versa. If alice is patient then susan is not brave or generous. Everyone who is not strong or funny is both brave a... | John is not humble. | neutral | (![X]:((strong(X)|funny(X))=>(quiet(X)&~tall(X))))&
(![X]:((calm(X)|~curious(X))=>(~happy(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)<~>~generous(X)))))&
((patient(alice))=>((~brave(susan)|generous(susan))))&
(![X]:((~strong(X)|funny(X))<=>(brave(X)&curious(X))))&
(![X]:(patient(X)<=>(wise(X)<~>happy(X))))... | ~humble(john) | [] | null | 0 |
Everyone who is either strong or old is both not curious and funny and vice versa. Everyone who is not funny is both not calm and not curious and vice versa. Everyone who is either kind or old is quiet and vice versa. If someone is both quiet and creative then someone is not kind and vice versa. Everyone who is brave o... | John is not brave. | neutral | (![X]:((strong(X)<~>old(X))<=>(~curious(X)&funny(X))))&
(![X]:(~funny(X)<=>(~calm(X)&~curious(X))))&
(![X]:((kind(X)<~>old(X))<=>quiet(X)))&
((?[X]:((quiet(X)&creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)|~humble(X))=>quiet(X)))&
(![X]:((~rich(X)<~>strong(X))<=>(calm(X)|~generous(X))))&
(![X]:((~wise(X)&brave(X... | ~brave(john) | [] | null | 0 |
Everyone who is either kind or happy is not kind or calm and vice versa.
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is b... | John is not creative. | neutral | (![X]:((kind(X)<~>happy(X))<=>(~kind(X)|calm(X))))&
(![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&... | ~creative(john) | [] | null | 0 |
If someone is calm or not quiet then someone is either not funny or curious.
If mary is not strong or tall then someone is not old or not calm and vice versa.
Everyone who is curious or funny is not creative or not funny and vice versa.
If someone is either patient or wise then someone is either creative or not curious... | Alice is quiet. | entailment | ((?[X]:((calm(X)|~quiet(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(((~strong(mary)|tall(mary)))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:((curious(X)|funny(X))<=>(~creative(X)|~funny(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:((quiet(X)<~>~quiet(X))<=>~funny(X)))&
(![X]:((quiet... | quiet(alice) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1939288304085476920875420
% SZS output start Proof for 1939288304085476920875420
1. ? [X0] : (~quiet(X0) | calm(X0)) => ? [X0] : (~funny(X0) <~> curious(X0)) [input p0]
3. ! [X0] : ((funny(X0) | curious(X0)) <=> (~funny(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~quiet(X... | 0 |
If someone is strong or not rich then john is creative.
Everyone who is calm or brave is not calm and vice versa.
If susan is not quiet then susan is either not funny or strong and vice versa.
Everyone who is rich or not wise is either patient or not wise.
If someone is either not funny or quiet then mary is curious or... | Susan is not funny. | neutral | ((?[X]:((strong(X)|~rich(X))))=>(creative(john)))&
(![X]:((calm(X)|brave(X))<=>~calm(X)))&
((~quiet(susan))<=>((~funny(susan)<~>strong(susan))))&
(![X]:((rich(X)|~wise(X))=>(patient(X)<~>~wise(X))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((curious(mary)|brave(mary))))&
(![X]:((~quiet(X)<~>brave(X))<=>(patient(X)|~happy(X))... | ~funny(susan) | [] | null | 0 |
Everyone who is not rich is happy or funny. Everyone who is creative or humble is either not kind or funny. If susan is not happy or not curious then someone is either not humble or calm. If someone is not strong or rich then someone is old. Everyone who is both not generous and happy is either creative or kind and vic... | Mary is rich. | neutral | (![X]:(~rich(X)=>(happy(X)|funny(X))))&
(![X]:((creative(X)|humble(X))=>(~kind(X)<~>funny(X))))&
(((~happy(susan)|~curious(susan)))=>(?[X]:((~humble(X)<~>calm(X)))))&
((?[X]:((~strong(X)|rich(X))))=>(?[X]:(old(X))))&
(![X]:((~generous(X)&happy(X))<=>(creative(X)<~>kind(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>~kind(X)))... | rich(mary) | [] | null | 0 |
If someone is creative then someone is either funny or rich and vice versa.
Everyone who is not patient or not strong is calm and vice versa.
Everyone who is not creative is patient or wise.
Everyone who is not rich or not curious is not humble.
Everyone who is both not kind and not calm is both not rich and not funny.... | Susan is curious. | entailment | ((?[X]:(creative(X)))<=>(?[X]:((funny(X)<~>rich(X)))))&
(![X]:((~patient(X)|~strong(X))<=>calm(X)))&
(![X]:(~creative(X)=>(patient(X)|wise(X))))&
(![X]:((~rich(X)|~curious(X))=>~humble(X)))&
(![X]:((~kind(X)&~calm(X))=>(~rich(X)&~funny(X))))&
(((generous(john)<~>strong(john)))<=>(~quiet(paul)))&
(![X]:(funny(X)<=>(tall... | curious(susan) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2499691859111537518848676
% SZS output start Proof for 2499691859111537518848676
12. ! [X0] : ((curious(X0) & ~strong(X0)) <=> (~quiet(X0) | calm(X0))) [input p11]
17. creative(susan) & calm(susan) [input p16]
22. ~curious(susan) [input hypothesis]
56. ! [X0] : (((curious(X0) & ~strong(X0... | 0 |
If someone is happy then john is happy.
Everyone who is not rich or strong is not curious or not calm.
If susan is strong then alice is both kind and not humble.
If someone is either calm or creative then someone is quiet and vice versa.
Everyone who is not creative is either not creative or not tall and vice versa.
Ev... | Paul is calm. | neutral | ((?[X]:(happy(X)))=>(happy(john)))&
(![X]:((~rich(X)|strong(X))=>(~curious(X)|~calm(X))))&
((strong(susan))=>((kind(alice)&~humble(alice))))&
((?[X]:((calm(X)<~>creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>~humble(X))=>tall(X)))&
(![X]:((~patient(X)&~creativ... | calm(paul) | [] | null | 0 |
If susan is either not curious or funny then someone is either not rich or old. Everyone who is either kind or quiet is not rich or tall. Everyone who is not quiet is not kind. If john is quiet then someone is both funny and wise and vice versa. If alice is curious or not happy then someone is either calm or strong. Ev... | Lucy is not strong. | contradiction | (((~curious(susan)<~>funny(susan)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((kind(X)<~>quiet(X))=>(~rich(X)|tall(X))))&
(![X]:(~quiet(X)=>~kind(X)))&
((quiet(john))<=>(?[X]:((funny(X)&wise(X)))))&
(((curious(alice)|~happy(alice)))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((quiet(X)|~strong(X))=>(~rich(X)<~>~calm(X))))&
(... | ~strong(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 743541475131938152181109
% SZS output start Proof for 743541475131938152181109
14. ! [X0] : ((strong(X0) | ~patient(X0)) <=> patient(X0)) [input p13]
24. ~strong(lucy) [input hypothesis]
56. ! [X0] : (((strong(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (~strong(X0) & patient(X0)... | 0 |
If someone is either creative or not patient then lucy is not patient or not calm and vice versa.
If john is not calm or happy then someone is not happy.
Everyone who is either not quiet or wise is either not strong or curious and vice versa.
If someone is old or not brave then someone is generous or not wise and vice ... | Mary is not old. | entailment | ((?[X]:((creative(X)<~>~patient(X))))<=>((~patient(lucy)|~calm(lucy))))&
(((~calm(john)|happy(john)))=>(?[X]:(~happy(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>(~strong(X)<~>curious(X))))&
((?[X]:((old(X)|~brave(X))))<=>(?[X]:((generous(X)|~wise(X)))))&
((?[X]:((~generous(X)|~wise(X))))<=>(?[X]:(~generous(X))))&
((~creative... | ~old(mary) | [
"p13",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6898460534697945551453379
% SZS output start Proof for 6898460534697945551453379
14. ! [X0] : ((funny(X0) & calm(X0)) <=> ~strong(X0)) [input p13]
18. brave(mary) & ~calm(mary) [input p17]
23. strong(mary) <~> old(mary) [input p22]
25. old(mary) [input hypothesis]
69. ! [X0] : (((funny(X0... | 0 |
If someone is both not generous and curious then someone is not creative or not curious.
Everyone who is either funny or not old is not kind or kind and vice versa.
If mary is either creative or not wise then alice is not wise and vice versa.
Everyone who is patient is either not funny or old.
Everyone who is humble is... | Susan is not old. | neutral | ((?[X]:((~generous(X)&curious(X))))=>(?[X]:((~creative(X)|~curious(X)))))&
(![X]:((funny(X)<~>~old(X))<=>(~kind(X)|kind(X))))&
(((creative(mary)<~>~wise(mary)))<=>(~wise(alice)))&
(![X]:(patient(X)=>(~funny(X)<~>old(X))))&
(![X]:(humble(X)=>(~humble(X)|creative(X))))&
(((~humble(susan)|patient(susan)))=>((~wise(susan)|... | ~old(susan) | [] | null | 0 |
Everyone who is happy is not funny and vice versa.
Everyone who is not curious is not tall.
If lucy is not brave or not calm then someone is not rich and vice versa.
Everyone who is both curious and not patient is either not brave or not funny.
If alice is both brave and not patient then fred is either not quiet or not... | Susan is happy. | neutral | (![X]:(happy(X)<=>~funny(X)))&
(![X]:(~curious(X)=>~tall(X)))&
(((~brave(lucy)|~calm(lucy)))<=>(?[X]:(~rich(X))))&
(![X]:((curious(X)&~patient(X))=>(~brave(X)<~>~funny(X))))&
(((brave(alice)&~patient(alice)))<=>((~quiet(fred)<~>~tall(fred))))&
(((funny(alice)<~>~old(alice)))<=>((brave(mary)<~>generous(mary))))&
((?[X]:... | happy(susan) | [] | null | 0 |
Everyone who is either not kind or not wise is not funny.
If alice is not quiet then susan is not brave and vice versa.
Everyone who is not funny or not brave is not rich or not calm and vice versa.
Everyone who is not generous or not creative is not wise or not tall and vice versa.
Everyone who is happy or brave is ei... | Alice is not wise. | contradiction | (![X]:((~kind(X)<~>~wise(X))=>~funny(X)))&
((~quiet(alice))<=>(~brave(susan)))&
(![X]:((~funny(X)|~brave(X))<=>(~rich(X)|~calm(X))))&
(![X]:((~generous(X)|~creative(X))<=>(~wise(X)|~tall(X))))&
(![X]:((happy(X)|brave(X))=>(~calm(X)<~>tall(X))))&
((~funny(susan))<=>(~quiet(john)))&
((?[X]:((creative(X)&funny(X))))=>(?[X... | ~wise(alice) | [
"p2",
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9136649764502337611463223
% SZS output start Proof for 9136649764502337611463223
3. ! [X0] : ((~brave(X0) | ~funny(X0)) <=> (~calm(X0) | ~rich(X0))) [input p2]
7. ? [X0] : (funny(X0) & creative(X0)) => ? [X0] : (~quiet(X0) & ~creative(X0)) [input p6]
11. ! [X0] : ((~calm(X0) <~> ~wise(X0)... | 0 |
If someone is both funny and not curious then susan is not strong and vice versa. If susan is either not happy or not creative then mary is humble. Everyone who is both rich and funny is tall. Everyone who is both not calm and humble is humble and vice versa. Everyone who is either not quiet or calm is both generous an... | Susan is not creative. | entailment | ((?[X]:((funny(X)&~curious(X))))<=>(~strong(susan)))&
(((~happy(susan)<~>~creative(susan)))=>(humble(mary)))&
(![X]:((rich(X)&funny(X))=>tall(X)))&
(![X]:((~calm(X)&humble(X))<=>humble(X)))&
(![X]:((~quiet(X)<~>calm(X))=>(generous(X)&tall(X))))&
((?[X]:((~creative(X)|~generous(X))))<=>((old(susan)<~>~kind(susan))))&
(!... | ~creative(susan) | [
"p3",
"p4",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4863136867103385735851341
% SZS output start Proof for 4863136867103385735851341
4. ! [X0] : ((humble(X0) & ~calm(X0)) <=> humble(X0)) [input p3]
5. ! [X0] : ((~quiet(X0) <~> calm(X0)) => (tall(X0) & generous(X0))) [input p4]
11. ! [X0] : ((humble(X0) & ~patient(X0)) <=> creative(X0)) [in... | 0 |
If susan is patient or not kind then someone is either creative or curious and vice versa.
Everyone who is either patient or generous is both not old and wise and vice versa.
Everyone who is not calm or creative is both wise and not tall and vice versa.
Everyone who is both rich and creative is not brave and vice versa... | Susan is not rich. | entailment | (((patient(susan)|~kind(susan)))<=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:((patient(X)<~>generous(X))<=>(~old(X)&wise(X))))&
(![X]:((~calm(X)|creative(X))<=>(wise(X)&~tall(X))))&
(![X]:((rich(X)&creative(X))<=>~brave(X)))&
(![X]:((~humble(X)|happy(X))=>~strong(X)))&
(![X]:((creative(X)|brave(X))<=>(brave(X)&genero... | ~rich(susan) | [
"p3",
"p4",
"p5",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 472695984937303074959862
% SZS output start Proof for 472695984937303074959862
4. ! [X0] : ((creative(X0) & rich(X0)) <=> ~brave(X0)) [input p3]
5. ! [X0] : ((happy(X0) | ~humble(X0)) => ~strong(X0)) [input p4]
6. ! [X0] : ((brave(X0) | creative(X0)) <=> (generous(X0) & brave(X0))) [input... | 0 |
If lucy is creative then someone is creative. If someone is kind or not wise then alice is calm or not humble. If someone is happy or wise then someone is not creative or not calm and vice versa. Everyone who is both generous and calm is brave or not calm and vice versa. If alice is not patient or not creative then ali... | Alice is not funny. | contradiction | ((creative(lucy))=>(?[X]:(creative(X))))&
((?[X]:((kind(X)|~wise(X))))=>((calm(alice)|~humble(alice))))&
((?[X]:((happy(X)|wise(X))))<=>(?[X]:((~creative(X)|~calm(X)))))&
(![X]:((generous(X)&calm(X))<=>(brave(X)|~calm(X))))&
(((~patient(alice)|~creative(alice)))<=>((~funny(alice)&creative(alice))))&
((?[X]:(~wise(X)))<... | ~funny(alice) | [
"p4",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8107964934867452215691880
% SZS output start Proof for 8107964934867452215691880
5. (~creative(alice) | ~patient(alice)) <=> (creative(alice) & ~funny(alice)) [input p4]
10. ! [X0] : ((~quiet(X0) & kind(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p9]
17. kind(alice) [input p16]
23. ~fu... | 0 |
If someone is either not patient or curious then someone is either kind or quiet and vice versa.
Everyone who is both not happy and not wise is either quiet or curious.
If someone is happy then someone is both not strong and generous and vice versa.
Everyone who is either patient or not calm is both not quiet and not h... | Mary is generous. | neutral | ((?[X]:((~patient(X)<~>curious(X))))<=>(?[X]:((kind(X)<~>quiet(X)))))&
(![X]:((~happy(X)&~wise(X))=>(quiet(X)<~>curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((patient(X)<~>~calm(X))=>(~quiet(X)&~happy(X))))&
(![X]:(~old(X)<=>generous(X)))&
(![X]:((~wise(X)&rich(X))<=>(generous(X)|~humbl... | generous(mary) | [] | null | 0 |
If alice is not humble then mary is not calm or not rich and vice versa.
Everyone who is either curious or not funny is not quiet.
Everyone who is not rich is both happy and brave.
Everyone who is either old or not rich is old or curious and vice versa.
If alice is both wise and not rich then someone is either rich or ... | Mary is curious. | entailment | ((~humble(alice))<=>((~calm(mary)|~rich(mary))))&
(![X]:((curious(X)<~>~funny(X))=>~quiet(X)))&
(![X]:(~rich(X)=>(happy(X)&brave(X))))&
(![X]:((old(X)<~>~rich(X))<=>(old(X)|curious(X))))&
(((wise(alice)&~rich(alice)))=>(?[X]:((rich(X)<~>~kind(X)))))&
((?[X]:((tall(X)|~creative(X))))=>(?[X]:((~generous(X)|~strong(X)))))... | curious(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8775760057735929905565696
% SZS output start Proof for 8775760057735929905565696
15. ! [X0] : ((~patient(X0) | curious(X0)) <=> patient(X0)) [input p14]
24. ~curious(mary) [input hypothesis]
64. ! [X0] : (((~patient(X0) | curious(X0)) | ~patient(X0)) & (patient(X0) | (patient(X0) & ~curio... | 0 |
Everyone who is both not happy and generous is either not quiet or kind and vice versa. Everyone who is either strong or not curious is both happy and creative and vice versa. Everyone who is either not calm or old is both not quiet and not generous and vice versa. Everyone who is not creative is either not brave or no... | Mary is not rich. | neutral | (![X]:((~happy(X)&generous(X))<=>(~quiet(X)<~>kind(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(happy(X)&creative(X))))&
(![X]:((~calm(X)<~>old(X))<=>(~quiet(X)&~generous(X))))&
(![X]:(~creative(X)<=>(~brave(X)<~>~humble(X))))&
(((creative(paul)&kind(paul)))<=>((~creative(lucy)<~>~curious(lucy))))&
(![X]:(old(X)=>funny(X... | ~rich(mary) | [] | null | 0 |
Everyone who is either old or creative is creative and vice versa. Everyone who is strong or curious is both brave and not patient. Everyone who is wise or patient is both patient and not brave and vice versa. If mary is either not creative or not generous then someone is both kind and patient. Everyone who is funny or... | Mary is curious. | contradiction | (![X]:((old(X)<~>creative(X))<=>creative(X)))&
(![X]:((strong(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:((wise(X)|patient(X))<=>(patient(X)&~brave(X))))&
(((~creative(mary)<~>~generous(mary)))=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((funny(X)|~old(X))=>(~rich(X)&patient(X))))&
(![X]:((funny(X)|~curious(X))<=>(pat... | curious(mary) | [
"p0",
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4414668817109736779711773
% SZS output start Proof for 4414668817109736779711773
1. ! [X0] : ((old(X0) <~> creative(X0)) <=> creative(X0)) [input p0]
2. ! [X0] : ((curious(X0) | strong(X0)) => (~patient(X0) & brave(X0))) [input p1]
5. ! [X0] : ((~old(X0) | funny(X0)) => (patient(X0) & ~ri... | 0 |
Everyone who is either brave or kind is not quiet.
Everyone who is curious or brave is both wise and not happy.
Everyone who is both creative and generous is either rich or not strong.
Everyone who is kind is either funny or not tall and vice versa.
If someone is either not happy or not calm then someone is happy or no... | Paul is not funny. | neutral | (![X]:((brave(X)<~>kind(X))=>~quiet(X)))&
(![X]:((curious(X)|brave(X))=>(wise(X)&~happy(X))))&
(![X]:((creative(X)&generous(X))=>(rich(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(funny(X)<~>~tall(X))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((~calm(X)<~>rich(X))=>(quiet(X)|funny(X))))&
((?[X]... | ~funny(paul) | [] | null | 0 |
If fred is humble or tall then someone is funny or not creative. If paul is either not funny or not generous then someone is both tall and wise. If someone is humble then someone is either curious or not patient and vice versa. If someone is not curious then someone is patient or happy and vice versa. Everyone who is e... | Paul is curious. | contradiction | (((humble(fred)|tall(fred)))=>(?[X]:((funny(X)|~creative(X)))))&
(((~funny(paul)<~>~generous(paul)))=>(?[X]:((tall(X)&wise(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((curious(X)<~>~patient(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((curious(X)<~>quiet(X))<=>(~wise(X)&creative(X))))&
(![X]:((~quie... | curious(paul) | [
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7443667406882651349367087
% SZS output start Proof for 7443667406882651349367087
9. ! [X0] : ((old(X0) & ~patient(X0)) <=> (~funny(X0) | curious(X0))) [input p8]
11. ! [X0] : ((brave(X0) | ~strong(X0)) => (old(X0) <~> ~strong(X0))) [input p10]
13. ! [X0] : (strong(X0) => (~funny(X0) & hap... | 0 |
If alice is not happy or old then someone is either happy or not tall. If someone is either not curious or calm then fred is both patient and strong. If mary is either not quiet or not strong then someone is either creative or curious. Everyone who is strong is not tall. If someone is happy or calm then mary is not qui... | Mary is not brave. | neutral | (((~happy(alice)|old(alice)))=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:((~curious(X)<~>calm(X))))=>((patient(fred)&strong(fred))))&
(((~quiet(mary)<~>~strong(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(strong(X)=>~tall(X)))&
((?[X]:((happy(X)|calm(X))))=>(~quiet(mary)))&
(![X]:((~curious(X)|~calm(X))<=>(~curi... | ~brave(mary) | [] | null | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not curious is not kind or not humble.
Everyone who is not wise or creative is either not patient or not humble and vice versa.
If lucy is both not calm and not happy then fred is not creative and vice versa.
If someone is creative... | John is not wise. | entailment | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~wise(X)|creative(X))<=>(~patient(X)<~>~humble(X))))&
(((~calm(lucy)&~happy(lucy)))<=>(~creative(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~... | ~wise(john) | [
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3604558736000706495456215
% SZS output start Proof for 3604558736000706495456215
5. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p4]
12. ! [X0] : (quiet(X0) <=> creative(X0)) [input p11]
13. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~wise(X0))) [input p12]
22. wise(john) [... | 0 |
Everyone who is either not rich or not brave is both kind and not strong and vice versa.
Everyone who is rich or old is both not quiet and not curious.
If someone is not calm or not tall then susan is both not kind and not funny.
If lucy is both not happy and not patient then someone is either curious or not creative a... | John is happy. | neutral | (![X]:((~rich(X)<~>~brave(X))<=>(kind(X)&~strong(X))))&
(![X]:((rich(X)|old(X))=>(~quiet(X)&~curious(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~kind(susan)&~funny(susan))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((curious(X)<~>~creative(X)))))&
((?[X]:((~funny(X)&rich(X))))<=>(~strong(lucy)))&
(![X]:((humble(X)<~>~cre... | happy(john) | [] | null | 0 |
If someone is either kind or not creative then susan is both generous and not rich. Everyone who is old or wise is not tall or happy. Everyone who is generous or not patient is both not brave and old. Everyone who is either not funny or not brave is not brave or wise and vice versa. Everyone who is funny is rich or not... | John is creative. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(X)<... | creative(john) | [
"p0",
"p2",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9178493827570346634527932
% SZS output start Proof for 9178493827570346634527932
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (~rich(susan) & generous(susan)) [input p0]
3. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~brave(X0))) [input p2]
8. (creative(mary) & ~calm(mary)) <=> (... | 0 |
Everyone who is either not calm or humble is brave and vice versa. If someone is either calm or kind then someone is not calm and vice versa. Everyone who is both creative and humble is either wise or not creative. Everyone who is both happy and brave is not tall or quiet and vice versa. Everyone who is brave is calm o... | Susan is not tall. | contradiction | (![X]:((~calm(X)<~>humble(X))<=>brave(X)))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&humble(X))=>(wise(X)<~>~creative(X))))&
(![X]:((happy(X)&brave(X))<=>(~tall(X)|quiet(X))))&
(![X]:(brave(X)=>(calm(X)|humble(X))))&
(![X]:((funny(X)<~>~calm(X))=>(humble(X)|curious(X))))&
(![X]:((~calm(X)... | ~tall(susan) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 833885842601043442781846
% SZS output start Proof for 833885842601043442781846
1. ! [X0] : ((~calm(X0) <~> humble(X0)) <=> brave(X0)) [input p0]
3. ! [X0] : ((humble(X0) & creative(X0)) => (wise(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : ((brave(X0) & happy(X0)) <=> (quiet(X0) | ~tall... | 0 |
Everyone who is patient or not curious is curious and vice versa.
Everyone who is not generous is both not wise and patient.
If someone is either quiet or not brave then john is either tall or not calm and vice versa.
Everyone who is both not humble and strong is not strong and vice versa.
Everyone who is both not brav... | Fred is not humble. | contradiction | (![X]:((patient(X)|~curious(X))<=>curious(X)))&
(![X]:(~generous(X)=>(~wise(X)&patient(X))))&
((?[X]:((quiet(X)<~>~brave(X))))<=>((tall(john)<~>~calm(john))))&
(![X]:((~humble(X)&strong(X))<=>~strong(X)))&
(![X]:((~brave(X)&~quiet(X))=>(quiet(X)|~creative(X))))&
(![X]:((~wise(X)|quiet(X))<=>~creative(X)))&
(![X]:((quie... | ~humble(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6118390551625071695246228
% SZS output start Proof for 6118390551625071695246228
4. ! [X0] : ((strong(X0) & ~humble(X0)) <=> ~strong(X0)) [input p3]
24. ~humble(fred) [input hypothesis]
41. ! [X0] : (((strong(X0) & ~humble(X0)) | strong(X0)) & (~strong(X0) | (~strong(X0) | humble(X0)))) [... | 0 |
If alice is not generous or creative then john is not strong and vice versa.
If someone is either not quiet or not funny then someone is brave and vice versa.
If someone is either not generous or calm then someone is either tall or curious and vice versa.
Everyone who is strong or generous is both not wise and not funn... | Susan is not old. | neutral | (((~generous(alice)|creative(alice)))<=>(~strong(john)))&
((?[X]:((~quiet(X)<~>~funny(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>(?[X]:((tall(X)<~>curious(X)))))&
(![X]:((strong(X)|generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:(strong(X)<=>(~tall(X)&calm(X))))&
((?[X]:((~strong(X)|wise(X))))<=>(?[X... | ~old(susan) | [] | null | 0 |
If someone is both generous and not quiet then someone is not patient.
If someone is kind or patient then someone is not generous or not curious.
Everyone who is not curious is strong or not patient and vice versa.
If john is both brave and not rich then alice is both happy and curious.
Everyone who is not rich is both... | Susan is not humble. | neutral | ((?[X]:((generous(X)&~quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~curious(X)<=>(strong(X)|~patient(X))))&
(((brave(john)&~rich(john)))=>((happy(alice)&curious(alice))))&
(![X]:(~rich(X)<=>(creative(X)&kind(X))))&
(![X]:((~creative(X)<~>creative(X))<=... | ~humble(susan) | [] | null | 0 |
If lucy is both not rich and brave then someone is not quiet. Everyone who is not creative or generous is both humble and not old and vice versa. If someone is not kind or not quiet then paul is both not patient and patient. Everyone who is both not calm and rich is either funny or creative. Everyone who is either humb... | Fred is not creative. | contradiction | (((~rich(lucy)&brave(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((~creative(X)|generous(X))<=>(humble(X)&~old(X))))&
((?[X]:((~kind(X)|~quiet(X))))=>((~patient(paul)&patient(paul))))&
(![X]:((~calm(X)&rich(X))=>(funny(X)<~>creative(X))))&
(![X]:((humble(X)<~>~kind(X))=>(~funny(X)<~>~old(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((cal... | ~creative(fred) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1614119991227971973817533
% SZS output start Proof for 1614119991227971973817533
2. ! [X0] : ((generous(X0) | ~creative(X0)) <=> (~old(X0) & humble(X0))) [input p1]
14. ! [X0] : ((quiet(X0) & old(X0)) <=> (humble(X0) | ~strong(X0))) [input p13]
22. ~creative(fred) [input hypothesis]
38. !... | 0 |
Everyone who is either not kind or not calm is not happy. If alice is both not happy and not kind then someone is not wise or not generous. Everyone who is not tall or tall is not patient or not generous. Everyone who is not patient or not happy is either not rich or wise and vice versa. Everyone who is either not pati... | Paul is not generous. | neutral | (![X]:((~kind(X)<~>~calm(X))=>~happy(X)))&
(((~happy(alice)&~kind(alice)))=>(?[X]:((~wise(X)|~generous(X)))))&
(![X]:((~tall(X)|tall(X))=>(~patient(X)|~generous(X))))&
(![X]:((~patient(X)|~happy(X))<=>(~rich(X)<~>wise(X))))&
(![X]:((~patient(X)<~>funny(X))=>(~funny(X)&~brave(X))))&
(![X]:((tall(X)<~>happy(X))=>(rich(X)... | ~generous(paul) | [] | null | 0 |
Everyone who is both not happy and old is strong.
Everyone who is funny or not kind is either happy or not tall and vice versa.
If someone is happy or strong then mary is not generous.
Everyone who is humble is curious or not brave and vice versa.
If someone is tall or creative then lucy is either wise or rich and vice... | Susan is tall. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(happy(X)<~>~tall(X))))&
((?[X]:((happy(X)|strong(X))))=>(~generous(mary)))&
(![X]:(humble(X)<=>(curious(X)|~brave(X))))&
((?[X]:((tall(X)|creative(X))))<=>((wise(lucy)<~>rich(lucy))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice... | tall(susan) | [
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1338281359003891019385430
% SZS output start Proof for 1338281359003891019385430
4. ! [X0] : (humble(X0) <=> (~brave(X0) | curious(X0))) [input p3]
8. ! [X0] : (~tall(X0) <=> calm(X0)) [input p7]
13. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p12]
14. ? [X0... | 0 |
Everyone who is either not calm or not curious is either funny or creative and vice versa.
If lucy is kind or not generous then someone is both wise and not brave and vice versa.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and not old and vice versa.
If m... | Paul is happy. | neutral | (![X]:((~calm(X)<~>~curious(X))<=>(funny(X)<~>creative(X))))&
(((kind(lucy)|~generous(lucy)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|... | happy(paul) | [] | null | 0 |
If someone is patient or not tall then john is either not quiet or not wise. Everyone who is both not creative and patient is either not strong or rich and vice versa. Everyone who is both not curious and not calm is either creative or not humble and vice versa. If someone is wise or rich then alice is tall or creative... | Alice is not curious. | contradiction | ((?[X]:((patient(X)|~tall(X))))=>((~quiet(john)<~>~wise(john))))&
(![X]:((~creative(X)&patient(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>(creative(X)<~>~humble(X))))&
((?[X]:((wise(X)|rich(X))))<=>((tall(alice)|creative(alice))))&
(((~humble(alice)|~creative(alice)))=>(?[X]:((quiet(X)<~>~strong(X)... | ~curious(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5192135201645947032111693
% SZS output start Proof for 5192135201645947032111693
11. ! [X0] : ((~humble(X0) <~> kind(X0)) <=> (~humble(X0) & kind(X0))) [input p10]
12. ? [X0] : (happy(X0) | ~curious(X0)) <=> ? [X0] : kind(X0) [input p11]
22. ~curious(alice) [input hypothesis]
24. ? [X0] :... | 0 |
If someone is not wise or not funny then someone is either not brave or patient and vice versa.
If someone is wise or quiet then someone is not curious or not tall and vice versa.
If someone is creative or not quiet then someone is not quiet and vice versa.
If mary is old then mary is not creative or generous and vice ... | Lucy is brave. | contradiction | ((?[X]:((~wise(X)|~funny(X))))<=>(?[X]:((~brave(X)<~>patient(X)))))&
((?[X]:((wise(X)|quiet(X))))<=>(?[X]:((~curious(X)|~tall(X)))))&
((?[X]:((creative(X)|~quiet(X))))<=>(?[X]:(~quiet(X))))&
((old(mary))<=>((~creative(mary)|generous(mary))))&
((?[X]:((~strong(X)&~patient(X))))=>((~rich(paul)|generous(paul))))&
(![X]:((... | brave(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7948246312759198233832067
% SZS output start Proof for 7948246312759198233832067
6. ! [X0] : ((brave(X0) & ~creative(X0)) <=> (brave(X0) & creative(X0))) [input p5]
23. brave(lucy) [input hypothesis]
52. ! [X0] : (((brave(X0) & ~creative(X0)) | (~brave(X0) | ~creative(X0))) & ((brave(X0) ... | 0 |
Everyone who is either not wise or wise is not generous.
If someone is tall then mary is quiet or not strong and vice versa.
If someone is both not humble and creative then lucy is either creative or not wise and vice versa.
Everyone who is both not patient and happy is not old and vice versa.
Everyone who is funny or ... | Fred is brave. | contradiction | (![X]:((~wise(X)<~>wise(X))=>~generous(X)))&
((?[X]:(tall(X)))<=>((quiet(mary)|~strong(mary))))&
((?[X]:((~humble(X)&creative(X))))<=>((creative(lucy)<~>~wise(lucy))))&
(![X]:((~patient(X)&happy(X))<=>~old(X)))&
(![X]:((funny(X)|~tall(X))<=>(~brave(X)&~kind(X))))&
(((quiet(paul)|~creative(paul)))<=>((generous(alice)&~b... | brave(fred) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 850805304164175845434769
% SZS output start Proof for 850805304164175845434769
5. ! [X0] : ((~tall(X0) | funny(X0)) <=> (~kind(X0) & ~brave(X0))) [input p4]
13. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (~funny(X0) | old(X0))) [input p12]
25. brave(fred) [input hypothesis]
45. ! [X0] : (((... | 0 |
If someone is not patient or not calm then someone is either humble or old. If john is both not rich and not kind then fred is not creative. Everyone who is not creative or not quiet is both not strong and not quiet and vice versa. Everyone who is both kind and not strong is strong. Everyone who is not old or not humbl... | Fred is not wise. | contradiction | ((?[X]:((~patient(X)|~calm(X))))=>(?[X]:((humble(X)<~>old(X)))))&
(((~rich(john)&~kind(john)))=>(~creative(fred)))&
(![X]:((~creative(X)|~quiet(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((kind(X)&~strong(X))=>strong(X)))&
(![X]:((~old(X)|~humble(X))<=>(quiet(X)&curious(X))))&
(![X]:((rich(X)&~kind(X))<=>strong(X)))&
(![X]:... | ~wise(fred) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2049395737565256519705301
% SZS output start Proof for 2049395737565256519705301
3. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~strong(X0) & kind(X0)) => strong(X0)) [input p3]
5. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (curious(X0) & qu... | 0 |
If mary is both not rich and funny then mary is either funny or not generous and vice versa.
Everyone who is tall is both not happy and creative.
Everyone who is both kind and not calm is wise or not patient and vice versa.
If susan is both not tall and happy then someone is not calm or generous and vice versa.
Everyon... | Paul is not patient. | neutral | (((~rich(mary)&funny(mary)))<=>((funny(mary)<~>~generous(mary))))&
(![X]:(tall(X)=>(~happy(X)&creative(X))))&
(![X]:((kind(X)&~calm(X))<=>(wise(X)|~patient(X))))&
(((~tall(susan)&happy(susan)))<=>(?[X]:((~calm(X)|generous(X)))))&
(![X]:((~quiet(X)|brave(X))<=>creative(X)))&
(![X]:((~funny(X)&curious(X))=>calm(X)))&
(![... | ~patient(paul) | [] | null | 0 |
If someone is kind then someone is not generous and vice versa.
Everyone who is not funny is either not patient or not tall.
Everyone who is either not patient or funny is not happy and vice versa.
If fred is tall or not tall then someone is kind.
If someone is either not patient or not wise then someone is either not ... | Fred is brave. | entailment | ((?[X]:(kind(X)))<=>(?[X]:(~generous(X))))&
(![X]:(~funny(X)=>(~patient(X)<~>~tall(X))))&
(![X]:((~patient(X)<~>funny(X))<=>~happy(X)))&
(((tall(fred)|~tall(fred)))=>(?[X]:(kind(X))))&
((?[X]:((~patient(X)<~>~wise(X))))<=>(?[X]:((~calm(X)<~>~old(X)))))&
((tall(john))=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~strong(X)|~br... | brave(fred) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1554779313209955655329570
% SZS output start Proof for 1554779313209955655329570
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~humble(X0)) [input p6]
21. humble(fred) [input p20]
22. ~brave(fred) [input hypothesis]
46. ! [X0] : (((~brave(X0) | ~strong(X0)) | humble(X0)) & (~humble(X0) | (b... | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa. If lucy is not humble then mary is not old or funny. If someone is happy or not patient then someone is either not brave or rich and vice versa. If someone is both not strong and not quiet then someone is brave or not humble. Eve... | John is not brave. | contradiction | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
((~humble(lucy))=>((~old(mary)|funny(mary))))&
((?[X]:((happy(X)|~patient(X))))<=>(?[X]:((~brave(X)<~>rich(X)))))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~b... | ~brave(john) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2081675011056225989764786
% SZS output start Proof for 2081675011056225989764786
6. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p5]
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p11]
23. ~brave(john) [input hypothesis]
29. ! [X0] : (~kind(X0) | (b... | 0 |
If mary is not funny then paul is tall or not patient. Everyone who is either not brave or wise is both generous and not quiet and vice versa. If someone is either happy or creative then paul is both calm and not tall. If someone is not rich then john is both not quiet and not strong. Everyone who is not curious or bra... | Paul is calm. | neutral | ((~funny(mary))=>((tall(paul)|~patient(paul))))&
(![X]:((~brave(X)<~>wise(X))<=>(generous(X)&~quiet(X))))&
((?[X]:((happy(X)<~>creative(X))))=>((calm(paul)&~tall(paul))))&
((?[X]:(~rich(X)))=>((~quiet(john)&~strong(john))))&
(![X]:((~curious(X)|brave(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)<~>wise(X))<=>old(X)))&... | calm(paul) | [] | null | 0 |
If someone is rich then susan is generous. If susan is generous then someone is either tall or not brave and vice versa. If someone is both not humble and creative then someone is funny and vice versa. If mary is creative then someone is both not curious and not patient. If mary is either patient or rich then alice is ... | John is calm. | contradiction | ((?[X]:(rich(X)))=>(generous(susan)))&
((generous(susan))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:(funny(X))))&
((creative(mary))=>(?[X]:((~curious(X)&~patient(X)))))&
(((patient(mary)<~>rich(mary)))<=>((~kind(alice)<~>patient(alice))))&
(![X]:((~quiet(X)<~>humble(X))<=>(quiet(X)|~... | calm(john) | [
"p5",
"p11",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8027993131995236656672030
% SZS output start Proof for 8027993131995236656672030
6. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (~old(X0) | quiet(X0))) [input p5]
12. ! [X0] : ((strong(X0) <~> ~humble(X0)) <=> (calm(X0) | ~wise(X0))) [input p11]
20. old(john) [input p19]
24. ~strong(john) [... | 0 |
Everyone who is strong is either not strong or happy.
Everyone who is tall is both rich and creative and vice versa.
Everyone who is either not generous or not happy is both humble and not calm and vice versa.
Everyone who is both not tall and not brave is not patient or patient and vice versa.
Everyone who is both not... | Susan is not rich. | entailment | (![X]:(strong(X)=>(~strong(X)<~>happy(X))))&
(![X]:(tall(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(humble(X)&~calm(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~patient(X)|patient(X))))&
(![X]:((~patient(X)&~wise(X))=>(quiet(X)<~>funny(X))))&
((?[X]:((strong(X)<~>old(X))))<=>(?[X]:(~strong(X))))&
(![X... | ~rich(susan) | [
"p3",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 823746278429095988147759
% SZS output start Proof for 823746278429095988147759
4. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (patient(X0) | ~patient(X0))) [input p3]
10. (~brave(susan) & ~tall(susan)) <=> (~creative(susan) <~> rich(susan)) [input p9]
11. ! [X0] : ((curious(X0) | rich(X0)) => ... | 0 |
If john is not calm or not quiet then lucy is tall or generous. Everyone who is either not humble or not old is both not quiet and rich. Everyone who is either not tall or not creative is not tall or brave and vice versa. If john is either patient or kind then john is not kind. If fred is calm then susan is both not fu... | Alice is not happy. | neutral | (((~calm(john)|~quiet(john)))=>((tall(lucy)|generous(lucy))))&
(![X]:((~humble(X)<~>~old(X))=>(~quiet(X)&rich(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>(~tall(X)|brave(X))))&
(((patient(john)<~>kind(john)))=>(~kind(john)))&
((calm(fred))=>((~funny(susan)&kind(susan))))&
(![X]:((kind(X)&wise(X))<=>~calm(X)))&
(![X]:(pat... | ~happy(alice) | [] | null | 0 |
If lucy is curious or kind then mary is both humble and not rich and vice versa.
Everyone who is kind is not brave.
Everyone who is both brave and calm is both not funny and not happy.
If someone is both quiet and patient then someone is both funny and not brave and vice versa.
If lucy is either not happy or not quiet ... | Paul is quiet. | neutral | (((curious(lucy)|kind(lucy)))<=>((humble(mary)&~rich(mary))))&
(![X]:(kind(X)=>~brave(X)))&
(![X]:((brave(X)&calm(X))=>(~funny(X)&~happy(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((funny(X)&~brave(X)))))&
(((~happy(lucy)<~>~quiet(lucy)))=>((~kind(mary)|~patient(mary))))&
(((old(lucy)|kind(lucy)))<=>((calm(paul)<~>... | quiet(paul) | [] | null | 0 |
If someone is either not quiet or not generous then john is generous or tall and vice versa. Everyone who is either old or not tall is both not calm and not humble. If lucy is both not happy and not patient then lucy is both not calm and quiet. Everyone who is tall is both not quiet and not funny and vice versa. Everyo... | Fred is not funny. | entailment | ((?[X]:((~quiet(X)<~>~generous(X))))<=>((generous(john)|tall(john))))&
(![X]:((old(X)<~>~tall(X))=>(~calm(X)&~humble(X))))&
(((~happy(lucy)&~patient(lucy)))=>((~calm(lucy)&quiet(lucy))))&
(![X]:(tall(X)<=>(~quiet(X)&~funny(X))))&
(![X]:((old(X)<~>~brave(X))<=>(generous(X)<~>~humble(X))))&
((?[X]:((tall(X)|strong(X))))=... | ~funny(fred) | [
"p5",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8822157699120498681587313
% SZS output start Proof for 8822157699120498681587313
6. ? [X0] : (strong(X0) | tall(X0)) => (~creative(mary) <~> strong(mary)) [input p5]
7. (~humble(fred) & ~funny(fred)) <=> ? [X0] : (creative(X0) <~> ~strong(X0)) [input p6]
21. ? [X0] : (tall(X0) & rich(X0))... | 0 |
Everyone who is happy is quiet or curious and vice versa.
Everyone who is not strong or generous is both not humble and not patient.
Everyone who is not humble is either not wise or not humble and vice versa.
Everyone who is generous or not funny is strong and vice versa.
Everyone who is either not generous or not rich... | Alice is tall. | contradiction | (![X]:(happy(X)<=>(quiet(X)|curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)&~patient(X))))&
(![X]:(~humble(X)<=>(~wise(X)<~>~humble(X))))&
(![X]:((generous(X)|~funny(X))<=>strong(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~rich(X)<~>humble(X))))&
((?... | tall(alice) | [
"p0",
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4763325002980946164967312
% SZS output start Proof for 4763325002980946164967312
1. ! [X0] : (happy(X0) <=> (curious(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((generous(X0) | ~strong(X0)) => (~patient(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | generous(X0)) <=> strong(X0)) ... | 0 |
Everyone who is quiet is brave or creative and vice versa. If lucy is either calm or not calm then someone is strong. If someone is humble or strong then someone is either rich or generous and vice versa. Everyone who is both kind and not wise is both not creative and strong. Everyone who is both not rich and brave is ... | Fred is not quiet. | contradiction | (![X]:(quiet(X)<=>(brave(X)|creative(X))))&
(((calm(lucy)<~>~calm(lucy)))=>(?[X]:(strong(X))))&
((?[X]:((humble(X)|strong(X))))<=>(?[X]:((rich(X)<~>generous(X)))))&
(![X]:((kind(X)&~wise(X))=>(~creative(X)&strong(X))))&
(![X]:((~rich(X)&brave(X))<=>~creative(X)))&
(![X]:(rich(X)=>(~generous(X)|~humble(X))))&
(![X]:((cr... | ~quiet(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8268142912995460207667896
% SZS output start Proof for 8268142912995460207667896
1. ! [X0] : (quiet(X0) <=> (creative(X0) | brave(X0))) [input p0]
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> ~creative(X0)) [input p4]
24. ~quiet(fred) [input hypothesis]
38. ! [X0] : ((quiet(X0) | (~creative(X... | 0 |
If someone is not humble then lucy is not creative and vice versa.
Everyone who is both not old and not tall is both strong and not generous and vice versa.
If mary is both not old and not rich then lucy is humble or not quiet.
Everyone who is not strong is either not tall or patient and vice versa.
Everyone who is kin... | Mary is wise. | contradiction | ((?[X]:(~humble(X)))<=>(~creative(lucy)))&
(![X]:((~old(X)&~tall(X))<=>(strong(X)&~generous(X))))&
(((~old(mary)&~rich(mary)))=>((humble(lucy)|~quiet(lucy))))&
(![X]:(~strong(X)<=>(~tall(X)<~>patient(X))))&
(![X]:((kind(X)|~calm(X))=>(~wise(X)<~>~happy(X))))&
(((tall(susan)&humble(susan)))=>((~kind(john)&strong(john)))... | wise(mary) | [
"p4",
"p6",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4774783370975467881349541
% SZS output start Proof for 4774783370975467881349541
5. ! [X0] : ((~calm(X0) | kind(X0)) => (~wise(X0) <~> ~happy(X0))) [input p4]
7. ? [X0] : (calm(X0) | ~funny(X0)) => (rich(john) & humble(john)) [input p6]
9. ! [X0] : (humble(X0) => (brave(X0) & ~brave(X0)))... | 0 |
If someone is kind or not quiet then someone is not wise and vice versa. If someone is both curious and brave then susan is not old. Everyone who is old is funny or tall and vice versa. If alice is not rich then paul is both kind and not old and vice versa. If mary is either not happy or not creative then alice is not ... | Alice is not tall. | entailment | ((?[X]:((kind(X)|~quiet(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((curious(X)&brave(X))))=>(~old(susan)))&
(![X]:(old(X)<=>(funny(X)|tall(X))))&
((~rich(alice))<=>((kind(paul)&~old(paul))))&
(((~happy(mary)<~>~creative(mary)))=>((~quiet(alice)|creative(alice))))&
(((~curious(mary)|humble(mary)))<=>(?[X]:(~strong(X))))&
(((ol... | ~tall(alice) | [
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3839769640997395647467301
% SZS output start Proof for 3839769640997395647467301
3. ! [X0] : (old(X0) <=> (tall(X0) | funny(X0))) [input p2]
12. ? [X0] : (~rich(X0) | ~brave(X0)) <=> ? [X0] : rich(X0) [input p11]
13. ? [X0] : (rich(X0) | ~kind(X0)) <=> (calm(alice) & ~old(alice)) [input p... | 0 |
If alice is either humble or not quiet then fred is either not rich or generous and vice versa. Everyone who is not brave is either not wise or not happy and vice versa. Everyone who is creative or not patient is wise. Everyone who is either not tall or wise is wise. Everyone who is both not quiet and not funny is not ... | Paul is old. | entailment | (((humble(alice)<~>~quiet(alice)))<=>((~rich(fred)<~>generous(fred))))&
(![X]:(~brave(X)<=>(~wise(X)<~>~happy(X))))&
(![X]:((creative(X)|~patient(X))=>wise(X)))&
(![X]:((~tall(X)<~>wise(X))=>wise(X)))&
(![X]:((~quiet(X)&~funny(X))<=>(~quiet(X)|patient(X))))&
(((humble(paul)|~funny(paul)))<=>((creative(paul)&calm(paul))... | old(paul) | [
"p2",
"p4",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1770529501366612145232116
% SZS output start Proof for 1770529501366612145232116
3. ! [X0] : ((~patient(X0) | creative(X0)) => wise(X0)) [input p2]
5. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (patient(X0) | ~quiet(X0))) [input p4]
6. (~funny(paul) | humble(paul)) <=> (calm(paul) & creative... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Lucy is strong. | entailment | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | strong(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7204372623005634125426660
% SZS output start Proof for 7204372623005634125426660
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~wise(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => ... | 0 |
If someone is not patient or not quiet then lucy is curious or strong.
If someone is either not old or not strong then someone is old or wise and vice versa.
If mary is wise then someone is either not funny or not old.
Everyone who is either not curious or not calm is not creative.
Everyone who is not funny is not old ... | Alice is rich. | neutral | ((?[X]:((~patient(X)|~quiet(X))))=>((curious(lucy)|strong(lucy))))&
((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((old(X)|wise(X)))))&
((wise(mary))=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~curious(X)<~>~calm(X))=>~creative(X)))&
(![X]:(~funny(X)=>(~old(X)|~kind(X))))&
(![X]:((~tall(X)|rich(X))<=>(~tall(X)<~>~old(X))))&
... | rich(alice) | [] | null | 0 |
If someone is both not old and not curious then someone is both not happy and not creative and vice versa.
Everyone who is either not wise or not tall is both not creative and strong and vice versa.
If someone is creative or patient then someone is not tall or tall and vice versa.
If lucy is tall then someone is either... | Susan is strong. | contradiction | ((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~happy(X)&~creative(X)))))&
(![X]:((~wise(X)<~>~tall(X))<=>(~creative(X)&strong(X))))&
((?[X]:((creative(X)|patient(X))))<=>(?[X]:((~tall(X)|tall(X)))))&
((tall(lucy))=>(?[X]:((kind(X)<~>~generous(X)))))&
(((~strong(mary)<~>brave(mary)))<=>((tall(paul)&~happy(paul))))&
((?[X]:(... | strong(susan) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6043501765513500309780457
% SZS output start Proof for 6043501765513500309780457
11. ! [X0] : ((brave(X0) | creative(X0)) <=> (wise(X0) & ~quiet(X0))) [input p10]
15. ! [X0] : ((~old(X0) & ~strong(X0)) <=> (wise(X0) | ~brave(X0))) [input p14]
23. strong(susan) [input hypothesis]
66. ! [X0... | 0 |
Everyone who is not tall or old is humble or funny. If alice is both not wise and not patient then paul is not creative. If someone is not curious or not funny then someone is happy or not generous and vice versa. Everyone who is not old or not tall is both creative and kind and vice versa. Everyone who is either not b... | Mary is humble. | neutral | (![X]:((~tall(X)|old(X))=>(humble(X)|funny(X))))&
(((~wise(alice)&~patient(alice)))=>(~creative(paul)))&
((?[X]:((~curious(X)|~funny(X))))<=>(?[X]:((happy(X)|~generous(X)))))&
(![X]:((~old(X)|~tall(X))<=>(creative(X)&kind(X))))&
(![X]:((~brave(X)<~>~quiet(X))=>~quiet(X)))&
(((~patient(mary)<~>~happy(mary)))=>(?[X]:((~q... | humble(mary) | [] | null | 0 |
Everyone who is not curious is creative or old.
Everyone who is either happy or curious is happy or brave and vice versa.
Everyone who is not quiet is not old.
If mary is either not wise or old then someone is not wise and vice versa.
If someone is either humble or old then someone is not happy or not generous.
If some... | Mary is patient. | entailment | (![X]:(~curious(X)=>(creative(X)|old(X))))&
(![X]:((happy(X)<~>curious(X))<=>(happy(X)|brave(X))))&
(![X]:(~quiet(X)=>~old(X)))&
(((~wise(mary)<~>old(mary)))<=>(?[X]:(~wise(X))))&
((?[X]:((humble(X)<~>old(X))))=>(?[X]:((~happy(X)|~generous(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((~patient(X)&creative(X)))))&
(((~patient(... | patient(mary) | [
"p0",
"p1",
"p2",
"p5",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 319943862056471254665010
% SZS output start Proof for 319943862056471254665010
1. ! [X0] : (~curious(X0) => (old(X0) | creative(X0))) [input p0]
2. ! [X0] : ((happy(X0) <~> curious(X0)) <=> (brave(X0) | happy(X0))) [input p1]
3. ! [X0] : (~quiet(X0) => ~old(X0)) [input p2]
6. ? [X0] : cur... | 0 |
Everyone who is either not tall or humble is either not creative or not kind and vice versa. If someone is quiet then someone is not calm. If someone is both not humble and creative then lucy is quiet or not tall. Everyone who is either happy or generous is both not creative and quiet. Everyone who is both generous and... | Lucy is not creative. | entailment | (![X]:((~tall(X)<~>humble(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:(~calm(X))))&
((?[X]:((~humble(X)&creative(X))))=>((quiet(lucy)|~tall(lucy))))&
(![X]:((happy(X)<~>generous(X))=>(~creative(X)&quiet(X))))&
(![X]:((generous(X)&~quiet(X))<=>(happy(X)&calm(X))))&
((?[X]:((brave(X)|creative(X))))<=>((~... | ~creative(lucy) | [
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8333356010454068181116408
% SZS output start Proof for 8333356010454068181116408
6. ? [X0] : (creative(X0) | brave(X0)) <=> (~strong(alice) & ~old(alice)) [input p5]
9. ! [X0] : (~tall(X0) => (tall(X0) & wise(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (tall(X0) | ~wise(X0))) [input ... | 0 |
Everyone who is both happy and strong is calm or not humble.
Everyone who is not rich or rich is not humble and vice versa.
If mary is not funny then mary is either not happy or not generous.
If someone is both not strong and not happy then someone is both brave and not creative and vice versa.
Everyone who is not kind... | Fred is rich. | contradiction | (![X]:((happy(X)&strong(X))=>(calm(X)|~humble(X))))&
(![X]:((~rich(X)|rich(X))<=>~humble(X)))&
((~funny(mary))=>((~happy(mary)<~>~generous(mary))))&
((?[X]:((~strong(X)&~happy(X))))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~kind(X)|~old(X))=>(humble(X)<~>~happy(X))))&
(![X]:((~happy(X)<~>old(X))<=>(tall(X)<~>~rich(... | rich(fred) | [
"p1",
"p4",
"p5",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2173721813231161072119461
% SZS output start Proof for 2173721813231161072119461
2. ! [X0] : ((rich(X0) | ~rich(X0)) <=> ~humble(X0)) [input p1]
5. ! [X0] : ((~old(X0) | ~kind(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
6. ! [X0] : ((~happy(X0) <~> old(X0)) <=> (tall(X0) <~> ~rich(X0)... | 0 |
Everyone who is not creative is rich. Everyone who is curious is both not wise and happy and vice versa. Everyone who is both not quiet and creative is calm or wise and vice versa. Everyone who is both not humble and not tall is either not old or not tall and vice versa. Everyone who is both not old and not happy is ei... | Lucy is quiet. | contradiction | (![X]:(~creative(X)=>rich(X)))&
(![X]:(curious(X)<=>(~wise(X)&happy(X))))&
(![X]:((~quiet(X)&creative(X))<=>(calm(X)|wise(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~old(X)<~>~tall(X))))&
(![X]:((~old(X)&~happy(X))=>(curious(X)<~>tall(X))))&
(![X]:((calm(X)&kind(X))<=>(old(X)<~>happy(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~t... | quiet(lucy) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 322105161891901207854840
% SZS output start Proof for 322105161891901207854840
3. ! [X0] : ((creative(X0) & ~quiet(X0)) <=> (wise(X0) | calm(X0))) [input p2]
11. ! [X0] : (~calm(X0) <=> wise(X0)) [input p10]
25. quiet(lucy) [input hypothesis]
35. ! [X0] : (((creative(X0) & ~quiet(X0)) | (... | 0 |
Everyone who is humble is curious and vice versa.
Everyone who is not curious or wise is both not creative and not calm.
If mary is either patient or not quiet then lucy is generous or not brave and vice versa.
Everyone who is either calm or quiet is not curious and vice versa.
Everyone who is not rich is old.
Everyone... | Lucy is not kind. | entailment | (![X]:(humble(X)<=>curious(X)))&
(![X]:((~curious(X)|wise(X))=>(~creative(X)&~calm(X))))&
(((patient(mary)<~>~quiet(mary)))<=>((generous(lucy)|~brave(lucy))))&
(![X]:((calm(X)<~>quiet(X))<=>~curious(X)))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(l... | ~kind(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9051558757302133528320080
% SZS output start Proof for 9051558757302133528320080
1. ! [X0] : (humble(X0) <=> curious(X0)) [input p0]
2. ! [X0] : ((wise(X0) | ~curious(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> ~curious(X0)) [input p3]
6. ! [X... | 0 |
Everyone who is either not brave or old is not humble.
If someone is either not quiet or wise then someone is both rich and not quiet and vice versa.
Everyone who is not old or tall is both happy and not calm and vice versa.
Everyone who is either old or not kind is both kind and patient.
Everyone who is strong is eith... | Mary is not happy. | entailment | (![X]:((~brave(X)<~>old(X))=>~humble(X)))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~old(X)|tall(X))<=>(happy(X)&~calm(X))))&
(![X]:((old(X)<~>~kind(X))=>(kind(X)&patient(X))))&
(![X]:(strong(X)=>(~funny(X)<~>~curious(X))))&
(![X]:((~calm(X)|~rich(X))<=>~tall(X)))&
((?[X]:((~old(X)&tall(... | ~happy(mary) | [
"p2",
"p3",
"p5",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 191910782090587497499437
% SZS output start Proof for 191910782090587497499437
3. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~calm(X0) & happy(X0))) [input p2]
4. ! [X0] : ((old(X0) <~> ~kind(X0)) => (patient(X0) & kind(X0))) [input p3]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> ~tall(X0)) [input... | 0 |
Everyone who is either not creative or strong is either not humble or not quiet and vice versa.
Everyone who is either not calm or happy is both not rich and old.
Everyone who is not tall or not creative is both old and not patient and vice versa.
Everyone who is not happy or not calm is both not creative and creative ... | John is rich. | contradiction | (![X]:((~creative(X)<~>strong(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((~calm(X)<~>happy(X))=>(~rich(X)&old(X))))&
(![X]:((~tall(X)|~creative(X))<=>(old(X)&~patient(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~creative(X)&creative(X))))&
(((creative(fred)&tall(fred)))=>((~kind(alice)|tall(alice))))&
(![X]:((~funny(X)|tall(X)... | rich(john) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1012956817522622390357141
% SZS output start Proof for 1012956817522622390357141
2. ! [X0] : ((~calm(X0) <~> happy(X0)) => (old(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (creative(X0) & ~creative(X0))) [input p3]
24. rich(john) [input hypothesis]
31. ! [X0] : ... | 0 |
Everyone who is either not creative or not brave is not tall and vice versa.
Everyone who is either not calm or not generous is not old or old and vice versa.
If someone is either funny or brave then john is either old or funny.
Everyone who is not wise or strong is either not strong or funny and vice versa.
Everyone w... | John is not patient. | neutral | (![X]:((~creative(X)<~>~brave(X))<=>~tall(X)))&
(![X]:((~calm(X)<~>~generous(X))<=>(~old(X)|old(X))))&
((?[X]:((funny(X)<~>brave(X))))=>((old(john)<~>funny(john))))&
(![X]:((~wise(X)|strong(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((~generous(X)|~rich(X))=>tall(X)))&
(![X]:((old(X)&brave(X))<=>(old(X)&~wise(X))))&
(![X]:... | ~patient(john) | [] | null | 0 |
If fred is both not funny and not patient then someone is either tall or humble and vice versa.
Everyone who is not strong or not happy is either not generous or kind.
Everyone who is not tall or kind is either not rich or quiet.
Everyone who is both not curious and creative is either not happy or humble and vice versa... | Fred is creative. | entailment | (((~funny(fred)&~patient(fred)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:((~strong(X)|~happy(X))=>(~generous(X)<~>kind(X))))&
(![X]:((~tall(X)|kind(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~curious(X)&creative(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X)... | creative(fred) | [
"p0",
"p4",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1688189092031467154333453
% SZS output start Proof for 1688189092031467154333453
1. (~patient(fred) & ~funny(fred)) <=> ? [X0] : (tall(X0) <~> humble(X0)) [input p0]
5. ! [X0] : ((tall(X0) <~> patient(X0)) => (wise(X0) & humble(X0))) [input p4]
9. ! [X0] : ((humble(X0) | ~tall(X0)) <=> pa... | 0 |
If someone is both not generous and tall then paul is either funny or rich and vice versa.
If lucy is either not brave or not funny then someone is either patient or old and vice versa.
If someone is both not quiet and generous then john is not wise.
If someone is both generous and quiet then someone is not happy.
Ever... | Paul is not creative. | entailment | ((?[X]:((~generous(X)&tall(X))))<=>((funny(paul)<~>rich(paul))))&
(((~brave(lucy)<~>~funny(lucy)))<=>(?[X]:((patient(X)<~>old(X)))))&
((?[X]:((~quiet(X)&generous(X))))=>(~wise(john)))&
((?[X]:((generous(X)&quiet(X))))=>(?[X]:(~happy(X))))&
(![X]:((kind(X)|happy(X))=>(strong(X)&~rich(X))))&
(![X]:(~creative(X)<=>(~quiet... | ~creative(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6393702329369675420751965
% SZS output start Proof for 6393702329369675420751965
6. ! [X0] : (~creative(X0) <=> (~quiet(X0) <~> quiet(X0))) [input p5]
24. creative(paul) [input hypothesis]
48. ! [X0] : ((~creative(X0) | ((~quiet(X0) | ~quiet(X0)) & (quiet(X0) | quiet(X0)))) & (((~quiet(X0... | 0 |
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