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 kind then someone is either not tall or patient.
Everyone who is both not happy and not calm is old or kind.
If someone is both not wise and not generous then fred is wise or not kind.
Everyone who is not calm is not tall.
Everyone who is not tall is not tall or strong and vice versa.
Everyone who is ... | John is funny. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((~tall(X)<~>patient(X)))))&
(![X]:((~happy(X)&~calm(X))=>(old(X)|kind(X))))&
((?[X]:((~wise(X)&~generous(X))))=>((wise(fred)|~kind(fred))))&
(![X]:(~calm(X)=>~tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)|strong(X))))&
(![X]:((~wise(X)|tall(X))<=>(calm(X)|~brave(X))))&
(![X]:((~strong(X)|curious(X))... | funny(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8542904876853744975404516
% SZS output start Proof for 8542904876853744975404516
12. ! [X0] : (funny(X0) <=> (~kind(X0) | kind(X0))) [input p11]
25. ~funny(john) [input hypothesis]
55. ! [X0] : ((funny(X0) | (kind(X0) & ~kind(X0))) & ((~kind(X0) | kind(X0)) | ~funny(X0))) [nnf transformat... | 0 |
Everyone who is both not wise and happy is not creative or not curious.
If someone is both generous and not quiet then someone is not tall and vice versa.
Everyone who is kind is creative and vice versa.
Everyone who is generous or not strong is both wise and not patient.
Everyone who is brave is rich.
Everyone who is ... | Fred is not brave. | entailment | (![X]:((~wise(X)&happy(X))=>(~creative(X)|~curious(X))))&
((?[X]:((generous(X)&~quiet(X))))<=>(?[X]:(~tall(X))))&
(![X]:(kind(X)<=>creative(X)))&
(![X]:((generous(X)|~strong(X))=>(wise(X)&~patient(X))))&
(![X]:(brave(X)=>rich(X)))&
(![X]:(tall(X)=>happy(X)))&
((?[X]:((old(X)|~creative(X))))=>((~strong(paul)<~>humble(pa... | ~brave(fred) | [
"p2",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5940391121323679330907578
% SZS output start Proof for 5940391121323679330907578
3. ! [X0] : (kind(X0) <=> creative(X0)) [input p2]
9. ! [X0] : ((kind(X0) & quiet(X0)) <=> (generous(X0) | ~kind(X0))) [input p8]
11. ! [X0] : ((patient(X0) & ~creative(X0)) <=> brave(X0)) [input p10]
25. bra... | 0 |
If someone is not creative then someone is either old or not rich and vice versa.
If mary is generous or strong then alice is both calm and kind and vice versa.
If paul is generous then someone is both not funny and quiet and vice versa.
If someone is not wise or not old then susan is generous and vice versa.
If mary i... | Paul is not rich. | neutral | ((?[X]:(~creative(X)))<=>(?[X]:((old(X)<~>~rich(X)))))&
(((generous(mary)|strong(mary)))<=>((calm(alice)&kind(alice))))&
((generous(paul))<=>(?[X]:((~funny(X)&quiet(X)))))&
((?[X]:((~wise(X)|~old(X))))<=>(generous(susan)))&
((rich(mary))<=>(?[X]:(humble(X))))&
((?[X]:(~calm(X)))=>(curious(paul)))&
(![X]:(wise(X)<=>~old... | ~rich(paul) | [] | null | 0 |
Everyone who is quiet is not rich or not old and vice versa. Everyone who is funny or strong is generous. Everyone who is not calm is creative or not old. If someone is not happy then someone is either not brave or not humble and vice versa. If john is either not curious or not patient then susan is not calm. Everyone ... | Alice is not curious. | neutral | (![X]:(quiet(X)<=>(~rich(X)|~old(X))))&
(![X]:((funny(X)|strong(X))=>generous(X)))&
(![X]:(~calm(X)=>(creative(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~curious(john)<~>~patient(john)))=>(~calm(susan)))&
(![X]:((funny(X)|~kind(X))=>(~generous(X)<~>~wise(X))))&
(((~humble(susan)|kind(s... | ~curious(alice) | [] | null | 0 |
Everyone who is creative or not patient is both not generous and calm.
Everyone who is creative or not quiet is both happy and quiet and vice versa.
Everyone who is not generous is calm or not wise.
If susan is not wise then someone is not tall and vice versa.
If someone is either kind or humble then someone is not str... | Susan is not tall. | contradiction | (![X]:((creative(X)|~patient(X))=>(~generous(X)&calm(X))))&
(![X]:((creative(X)|~quiet(X))<=>(happy(X)&quiet(X))))&
(![X]:(~generous(X)=>(calm(X)|~wise(X))))&
((~wise(susan))<=>(?[X]:(~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(~creative(X)<=>(generous(X)&~creative(X))))&
((?... | ~tall(susan) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1284561031399498828401440
% SZS output start Proof for 1284561031399498828401440
1. ! [X0] : ((~patient(X0) | creative(X0)) => (calm(X0) & ~generous(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
6. ! [X0] : (~creative(X0) <=> (~creative(... | 0 |
Everyone who is not tall is either wise or not calm. If john is strong then john is both not funny and happy. Everyone who is generous or not kind is either not wise or not patient. Everyone who is wise or humble is generous and vice versa. If someone is generous then john is both not brave and wise. Everyone who is ei... | Lucy is not humble. | entailment | (![X]:(~tall(X)=>(wise(X)<~>~calm(X))))&
((strong(john))=>((~funny(john)&happy(john))))&
(![X]:((generous(X)|~kind(X))=>(~wise(X)<~>~patient(X))))&
(![X]:((wise(X)|humble(X))<=>generous(X)))&
((?[X]:(generous(X)))=>((~brave(john)&wise(john))))&
(![X]:((strong(X)<~>brave(X))=>kind(X)))&
(![X]:((~calm(X)&~patient(X))=>br... | ~humble(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2200301895148392882867866
% SZS output start Proof for 2200301895148392882867866
3. ! [X0] : ((~kind(X0) | generous(X0)) => (~wise(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : ((humble(X0) | wise(X0)) <=> generous(X0)) [input p3]
5. ? [X0] : generous(X0) => (wise(john) & ~brave(john)) [i... | 0 |
Everyone who is tall is not calm or old. If someone is both patient and kind then susan is both not quiet and not curious. If paul is both not creative and old then someone is not old or old and vice versa. Everyone who is generous is either not humble or not happy. If susan is either not tall or strong then someone is... | Paul is brave. | entailment | (![X]:(tall(X)=>(~calm(X)|old(X))))&
((?[X]:((patient(X)&kind(X))))=>((~quiet(susan)&~curious(susan))))&
(((~creative(paul)&old(paul)))<=>(?[X]:((~old(X)|old(X)))))&
(![X]:(generous(X)=>(~humble(X)<~>~happy(X))))&
(((~tall(susan)<~>strong(susan)))=>(?[X]:((quiet(X)<~>~curious(X)))))&
((?[X]:((~creative(X)<~>old(X))))<=... | brave(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4929045047929584057388483
% SZS output start Proof for 4929045047929584057388483
17. brave(paul) [input p16]
25. ~brave(paul) [input hypothesis]
127. brave(paul) [cnf transformation 17]
141. ~brave(paul) [cnf transformation 25]
316. $false [subsumption resolution 141,127]
% SZS output end... | 0 |
Everyone who is either not humble or not calm is creative or curious and vice versa.
Everyone who is both not wise and not generous is both not funny and creative and vice versa.
Everyone who is either humble or not funny is both not strong and curious.
Everyone who is either not generous or happy is either curious or ... | Fred is not strong. | entailment | (![X]:((~humble(X)<~>~calm(X))<=>(creative(X)|curious(X))))&
(![X]:((~wise(X)&~generous(X))<=>(~funny(X)&creative(X))))&
(![X]:((humble(X)<~>~funny(X))=>(~strong(X)&curious(X))))&
(![X]:((~generous(X)<~>happy(X))=>(curious(X)<~>~tall(X))))&
((~old(fred))=>(~rich(lucy)))&
(((funny(fred)|tall(fred)))<=>((~tall(fred)<~>fu... | ~strong(fred) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 430809431311920221485074
% SZS output start Proof for 430809431311920221485074
3. ! [X0] : ((humble(X0) <~> ~funny(X0)) => (curious(X0) & ~strong(X0))) [input p2]
6. (tall(fred) | funny(fred)) <=> (~tall(fred) <~> funny(fred)) [input p5]
10. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (~stron... | 0 |
Everyone who is funny or not strong is not tall.
Everyone who is strong or not wise is both humble and not calm and vice versa.
Everyone who is either not curious or old is generous or not funny.
Everyone who is both wise and not calm is not patient or not brave and vice versa.
If someone is not wise or not creative th... | Fred is patient. | entailment | (![X]:((funny(X)|~strong(X))=>~tall(X)))&
(![X]:((strong(X)|~wise(X))<=>(humble(X)&~calm(X))))&
(![X]:((~curious(X)<~>old(X))=>(generous(X)|~funny(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)|~brave(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
((?[X]:((~creative(X)|quiet(X))))<=>(?[... | patient(fred) | [
"p0",
"p3",
"p6",
"p10",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 966856292054155500600906
% SZS output start Proof for 966856292054155500600906
1. ! [X0] : ((~strong(X0) | funny(X0)) => ~tall(X0)) [input p0]
4. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~brave(X0) | ~patient(X0))) [input p3]
7. ! [X0] : ((wise(X0) & generous(X0)) <=> (humble(X0) <~> ~humble... | 0 |
Everyone who is either brave or not quiet is either not brave or funny and vice versa.
Everyone who is either humble or not tall is both happy and not quiet and vice versa.
Everyone who is either generous or not rich is not strong and vice versa.
If lucy is humble then someone is both not patient and strong and vice ve... | Mary is not funny. | neutral | (![X]:((brave(X)<~>~quiet(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((humble(X)<~>~tall(X))<=>(happy(X)&~quiet(X))))&
(![X]:((generous(X)<~>~rich(X))<=>~strong(X)))&
((humble(lucy))<=>(?[X]:((~patient(X)&strong(X)))))&
((?[X]:((~patient(X)<~>~generous(X))))<=>(humble(susan)))&
(![X]:((generous(X)&kind(X))<=>humble(X)))&
((... | ~funny(mary) | [] | null | 0 |
Everyone who is not kind or not wise is either not creative or not old.
Everyone who is curious is both brave and happy and vice versa.
Everyone who is not kind or not rich is either kind or not humble.
If john is both not happy and strong then someone is happy or kind.
Everyone who is not brave is tall or not funny an... | Fred is not happy. | neutral | (![X]:((~kind(X)|~wise(X))=>(~creative(X)<~>~old(X))))&
(![X]:(curious(X)<=>(brave(X)&happy(X))))&
(![X]:((~kind(X)|~rich(X))=>(kind(X)<~>~humble(X))))&
(((~happy(john)&strong(john)))=>(?[X]:((happy(X)|kind(X)))))&
(![X]:(~brave(X)<=>(tall(X)|~funny(X))))&
(![X]:(generous(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~generous(X... | ~happy(fred) | [] | null | 0 |
If someone is both happy and kind then someone is not curious and vice versa.
Everyone who is either not quiet or not curious is both not funny and not generous and vice versa.
If someone is both not creative and not generous then fred is both strong and not funny.
If someone is kind or calm then someone is both tall a... | John is not generous. | entailment | ((?[X]:((happy(X)&kind(X))))<=>(?[X]:(~curious(X))))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~funny(X)&~generous(X))))&
((?[X]:((~creative(X)&~generous(X))))=>((strong(fred)&~funny(fred))))&
((?[X]:((kind(X)|calm(X))))=>(?[X]:((tall(X)&kind(X)))))&
(![X]:((creative(X)|kind(X))=>~patient(X)))&
(![X]:((patient(X)&happy(X))<... | ~generous(john) | [
"p1",
"p5",
"p8",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8310999646659513591946310
% SZS output start Proof for 8310999646659513591946310
2. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (~generous(X0) & ~funny(X0))) [input p1]
6. ! [X0] : ((happy(X0) & patient(X0)) <=> (rich(X0) | humble(X0))) [input p5]
9. ! [X0] : (quiet(X0) <=> (~curious(X0) ... | 0 |
Everyone who is both not curious and not wise is brave or not happy and vice versa.
Everyone who is not quiet is either curious or generous.
If someone is not creative then paul is either not quiet or not tall and vice versa.
Everyone who is funny or not strong is both patient and brave.
If mary is not old then someone... | Mary is calm. | neutral | (![X]:((~curious(X)&~wise(X))<=>(brave(X)|~happy(X))))&
(![X]:(~quiet(X)=>(curious(X)<~>generous(X))))&
((?[X]:(~creative(X)))<=>((~quiet(paul)<~>~tall(paul))))&
(![X]:((funny(X)|~strong(X))=>(patient(X)&brave(X))))&
((~old(mary))<=>(?[X]:((kind(X)|quiet(X)))))&
(((creative(paul)<~>~rich(paul)))<=>(?[X]:((old(X)|~rich(... | calm(mary) | [] | null | 0 |
Everyone who is either creative or not rich is both not old and old. Everyone who is both not curious and not happy is generous or not wise. Everyone who is both not strong and not generous is calm and vice versa. Everyone who is not humble or patient is not wise or brave and vice versa. If someone is not quiet or not ... | Susan is not generous. | contradiction | (![X]:((creative(X)<~>~rich(X))=>(~old(X)&old(X))))&
(![X]:((~curious(X)&~happy(X))=>(generous(X)|~wise(X))))&
(![X]:((~strong(X)&~generous(X))<=>calm(X)))&
(![X]:((~humble(X)|patient(X))<=>(~wise(X)|brave(X))))&
((?[X]:((~quiet(X)|~wise(X))))=>((~humble(mary)&humble(mary))))&
((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brav... | ~generous(susan) | [
"p2",
"p4",
"p8",
"p10",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 828883724516209132874996
% SZS output start Proof for 828883724516209132874996
3. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> calm(X0)) [input p2]
5. ? [X0] : (~wise(X0) | ~quiet(X0)) => (humble(mary) & ~humble(mary)) [input p4]
9. ! [X0] : ((humble(X0) | patient(X0)) => ~kind(X0)) [input... | 0 |
Everyone who is either kind or happy is either not humble or wise.
If someone is not funny then mary is not patient and vice versa.
Everyone who is both generous and wise is both tall and patient.
Everyone who is funny or not quiet is both not patient and not curious and vice versa.
If someone is both strong and humble... | Susan is not kind. | entailment | (![X]:((kind(X)<~>happy(X))=>(~humble(X)<~>wise(X))))&
((?[X]:(~funny(X)))<=>(~patient(mary)))&
(![X]:((generous(X)&wise(X))=>(tall(X)&patient(X))))&
(![X]:((funny(X)|~quiet(X))<=>(~patient(X)&~curious(X))))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~wise(X)&~calm(X)))))&
((generous(mary))=>((~calm(fred)&tall(fred))))&... | ~kind(susan) | [
"p3",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4856400810627793710537537
% SZS output start Proof for 4856400810627793710537537
4. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (~curious(X0) & ~patient(X0))) [input p3]
7. ! [X0] : ((curious(X0) <~> creative(X0)) <=> (generous(X0) & funny(X0))) [input p6]
8. ! [X0] : ((kind(X0) | ~tall(X0)) <... | 0 |
Everyone who is not humble is either not generous or old.
If someone is not curious then mary is both tall and not curious.
Everyone who is brave is not calm.
Everyone who is either not calm or creative is not patient or tall and vice versa.
If someone is brave then paul is either not patient or funny.
Everyone who is ... | Mary is not brave. | entailment | (![X]:(~humble(X)=>(~generous(X)<~>old(X))))&
((?[X]:(~curious(X)))=>((tall(mary)&~curious(mary))))&
(![X]:(brave(X)=>~calm(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~patient(X)|tall(X))))&
((?[X]:(brave(X)))=>((~patient(paul)<~>funny(paul))))&
(![X]:(funny(X)<=>(patient(X)|~patient(X))))&
(![X]:((~happy(X)<~>old(X))<=>... | ~brave(mary) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4015206183984573764509557
% SZS output start Proof for 4015206183984573764509557
2. ? [X0] : ~curious(X0) => (~curious(mary) & tall(mary)) [input p1]
5. ? [X0] : brave(X0) => (~patient(paul) <~> funny(paul)) [input p4]
6. ! [X0] : (funny(X0) <=> (~patient(X0) | patient(X0))) [input p5]
9.... | 0 |
Everyone who is either generous or calm is either tall or not happy and vice versa. If lucy is either not wise or not generous then someone is tall or patient and vice versa. Everyone who is not funny is both humble and curious and vice versa. Everyone who is happy or generous is both patient and not tall. If lucy is b... | Susan is funny. | entailment | (![X]:((generous(X)<~>calm(X))<=>(tall(X)<~>~happy(X))))&
(((~wise(lucy)<~>~generous(lucy)))<=>(?[X]:((tall(X)|patient(X)))))&
(![X]:(~funny(X)<=>(humble(X)&curious(X))))&
(![X]:((happy(X)|generous(X))=>(patient(X)&~tall(X))))&
(((~generous(lucy)&~tall(lucy)))<=>((old(lucy)<~>~funny(lucy))))&
(![X]:((~curious(X)&genero... | funny(susan) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1030132664605539116159278
% SZS output start Proof for 1030132664605539116159278
8. ! [X0] : ((tall(X0) & ~wise(X0)) <=> ~funny(X0)) [input p7]
12. ! [X0] : (tall(X0) => ~tall(X0)) [input p11]
25. ~funny(susan) [input hypothesis]
33. ! [X0] : (~tall(X0) | ~tall(X0)) [ennf transformation 1... | 0 |
If fred is humble or curious then someone is both rich and not humble.
If someone is both not generous and not kind then lucy is not happy or not generous.
If someone is funny or not old then mary is both not strong and funny and vice versa.
If someone is either not quiet or not patient then lucy is old and vice versa.... | Paul is not strong. | contradiction | (((humble(fred)|curious(fred)))=>(?[X]:((rich(X)&~humble(X)))))&
((?[X]:((~generous(X)&~kind(X))))=>((~happy(lucy)|~generous(lucy))))&
((?[X]:((funny(X)|~old(X))))<=>((~strong(mary)&funny(mary))))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(old(lucy)))&
(![X]:((rich(X)|humble(X))<=>(~generous(X)|generous(X))))&
(![X]:(~ric... | ~strong(paul) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3609415589947325767470991
% SZS output start Proof for 3609415589947325767470991
14. ! [X0] : ((~strong(X0) | tall(X0)) <=> (funny(X0) & quiet(X0))) [input p13]
16. ! [X0] : ((funny(X0) | ~generous(X0)) => (strong(X0) & quiet(X0))) [input p15]
22. ~strong(paul) [input hypothesis]
33. ! [X... | 0 |
If someone is not calm or quiet then paul is humble or creative and vice versa.
If someone is not brave or humble then someone is either not creative or not quiet.
Everyone who is not happy is not tall and vice versa.
If lucy is either not funny or rich then john is either patient or not tall and vice versa.
Everyone w... | John is creative. | contradiction | ((?[X]:((~calm(X)|quiet(X))))<=>((humble(paul)|creative(paul))))&
((?[X]:((~brave(X)|humble(X))))=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:(~happy(X)<=>~tall(X)))&
(((~funny(lucy)<~>rich(lucy)))<=>((patient(john)<~>~tall(john))))&
(![X]:((~curious(X)|~kind(X))=>(tall(X)<~>quiet(X))))&
(((old(alice)|~strong(alice)))... | creative(john) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9067467911130913369806196
% SZS output start Proof for 9067467911130913369806196
8. ! [X0] : ((creative(X0) | ~patient(X0)) => (~strong(X0) & ~rich(X0))) [input p7]
20. strong(john) [input p19]
25. creative(john) [input hypothesis]
31. ! [X0] : ((~strong(X0) & ~rich(X0)) | (~creative(X0) ... | 0 |
Everyone who is funny or old is both wise and not strong.
If someone is not kind then paul is both not rich and tall and vice versa.
If someone is either patient or not generous then fred is kind or not brave and vice versa.
If someone is old then lucy is both brave and not tall and vice versa.
Everyone who is either n... | Mary is old. | contradiction | (![X]:((funny(X)|old(X))=>(wise(X)&~strong(X))))&
((?[X]:(~kind(X)))<=>((~rich(paul)&tall(paul))))&
((?[X]:((patient(X)<~>~generous(X))))<=>((kind(fred)|~brave(fred))))&
((?[X]:(old(X)))<=>((brave(lucy)&~tall(lucy))))&
(![X]:((~old(X)<~>humble(X))<=>patient(X)))&
(![X]:((~wise(X)&~rich(X))=>(~tall(X)<~>~creative(X))))&... | old(mary) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5228286929906670397794693
% SZS output start Proof for 5228286929906670397794693
10. ? [X0] : (happy(X0) | quiet(X0)) <=> ~old(mary) [input p9]
11. ? [X0] : (~happy(X0) | generous(X0)) => ? [X0] : (brave(X0) & quiet(X0)) [input p10]
24. old(mary) [input hypothesis]
26. ? [X0] : (~happy(X0... | 0 |
If susan is both not funny and generous then susan is both not humble and not rich and vice versa.
Everyone who is not strong or funny is either not curious or not wise.
If someone is both not generous and humble then someone is either funny or not old and vice versa.
Everyone who is tall or not wise is quiet or not hu... | Alice is not creative. | neutral | (((~funny(susan)&generous(susan)))<=>((~humble(susan)&~rich(susan))))&
(![X]:((~strong(X)|funny(X))=>(~curious(X)<~>~wise(X))))&
((?[X]:((~generous(X)&humble(X))))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((tall(X)|~wise(X))<=>(quiet(X)|~humble(X))))&
(![X]:((curious(X)<~>wise(X))<=>~funny(X)))&
(![X]:((patient(X)&~tall... | ~creative(alice) | [] | null | 0 |
If someone is not kind then lucy is either not humble or wise and vice versa.
If someone is funny then mary is both not tall and brave and vice versa.
If someone is both not creative and happy then lucy is either strong or not creative and vice versa.
Everyone who is either wise or not funny is happy.
If someone is eit... | Fred is not tall. | contradiction | ((?[X]:(~kind(X)))<=>((~humble(lucy)<~>wise(lucy))))&
((?[X]:(funny(X)))<=>((~tall(mary)&brave(mary))))&
((?[X]:((~creative(X)&happy(X))))<=>((strong(lucy)<~>~creative(lucy))))&
(![X]:((wise(X)<~>~funny(X))=>happy(X)))&
((?[X]:((calm(X)<~>patient(X))))=>((~kind(paul)|humble(paul))))&
(![X]:(~quiet(X)<=>(~generous(X)<~>... | ~tall(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4816744523501855461307774
% SZS output start Proof for 4816744523501855461307774
11. ! [X0] : ((calm(X0) | ~calm(X0)) => (~calm(X0) & tall(X0))) [input p10]
19. ~tall(fred) [input hypothesis]
29. ! [X0] : ((~calm(X0) & tall(X0)) | (~calm(X0) & calm(X0))) [ennf transformation 11]
100. tall... | 0 |
If someone is not generous then someone is not strong.
Everyone who is not funny is either calm or not kind.
If someone is both not calm and rich then john is funny or calm and vice versa.
Everyone who is not brave is both quiet and not funny.
If someone is either not brave or not rich then alice is creative or not gen... | Alice is humble. | neutral | ((?[X]:(~generous(X)))=>(?[X]:(~strong(X))))&
(![X]:(~funny(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((~calm(X)&rich(X))))<=>((funny(john)|calm(john))))&
(![X]:(~brave(X)=>(quiet(X)&~funny(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>((creative(alice)|~generous(alice))))&
(![X]:(~old(X)=>(calm(X)|quiet(X))))&
((?[X]:((~kind(X)|... | humble(alice) | [] | null | 0 |
If alice is both happy and not rich then john is both not generous and not wise and vice versa.
If someone is strong then susan is kind or wise.
Everyone who is either not tall or kind is both not quiet and not patient and vice versa.
Everyone who is both not creative and quiet is not funny or not strong.
If alice is c... | Fred is not kind. | entailment | (((happy(alice)&~rich(alice)))<=>((~generous(john)&~wise(john))))&
((?[X]:(strong(X)))=>((kind(susan)|wise(susan))))&
(![X]:((~tall(X)<~>kind(X))<=>(~quiet(X)&~patient(X))))&
(![X]:((~creative(X)&quiet(X))=>(~funny(X)|~strong(X))))&
((calm(alice))<=>(?[X]:((~patient(X)|~calm(X)))))&
((?[X]:((~kind(X)<~>~funny(X))))<=>(... | ~kind(fred) | [
"p2",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6956892246949444426115350
% SZS output start Proof for 6956892246949444426115350
3. ! [X0] : ((~tall(X0) <~> kind(X0)) <=> (~patient(X0) & ~quiet(X0))) [input p2]
10. ! [X0] : ((creative(X0) | ~tall(X0)) <=> tall(X0)) [input p9]
12. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (curious(X0) | ~qu... | 0 |
Everyone who is tall or curious is patient.
Everyone who is both not kind and happy is generous or happy and vice versa.
If someone is calm or curious then fred is both creative and funny.
Everyone who is not happy is patient or not happy.
If fred is both tall and not happy then fred is not strong and vice versa.
If lu... | Lucy is not strong. | entailment | (![X]:((tall(X)|curious(X))=>patient(X)))&
(![X]:((~kind(X)&happy(X))<=>(generous(X)|happy(X))))&
((?[X]:((calm(X)|curious(X))))=>((creative(fred)&funny(fred))))&
(![X]:(~happy(X)=>(patient(X)|~happy(X))))&
(((tall(fred)&~happy(fred)))<=>(~strong(fred)))&
(((~brave(lucy)&~wise(lucy)))<=>(?[X]:((~rich(X)|curious(X)))))&... | ~strong(lucy) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3227903063777174563245574
% SZS output start Proof for 3227903063777174563245574
8. (curious(lucy) & ~strong(lucy)) <=> ? [X0] : (brave(X0) | ~kind(X0)) [input p7]
17. ? [X0] : brave(X0) [input p16]
25. strong(lucy) [input hypothesis]
50. ((curious(lucy) & ~strong(lucy)) | ! [X0] : (~brav... | 0 |
Everyone who is both kind and quiet is either wise or old and vice versa. If someone is quiet then alice is both creative and not old and vice versa. Everyone who is either brave or not patient is old or wise. Everyone who is patient is not strong or not brave and vice versa. Everyone who is both wise and happy is not ... | Susan is not generous. | entailment | (![X]:((kind(X)&quiet(X))<=>(wise(X)<~>old(X))))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~... | ~generous(susan) | [
"p7",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7446651269649029368458122
% SZS output start Proof for 7446651269649029368458122
8. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & funny(X0))) [input p7]
10. ! [X0] : ((~happy(X0) <~> tall(X0)) <=> (~funny(X0) & kind(X0))) [input p9]
15. ! [X0] : ((~happy(X0) | generous(X0)) <=>... | 0 |
Everyone who is not wise or curious is both patient and quiet and vice versa.
If mary is either old or not brave then fred is either not happy or calm and vice versa.
Everyone who is either not calm or patient is humble and vice versa.
Everyone who is generous is not rich and vice versa.
If someone is both not creative... | Alice is not curious. | entailment | (![X]:((~wise(X)|curious(X))<=>(patient(X)&quiet(X))))&
(((old(mary)<~>~brave(mary)))<=>((~happy(fred)<~>calm(fred))))&
(![X]:((~calm(X)<~>patient(X))<=>humble(X)))&
(![X]:(generous(X)<=>~rich(X)))&
((?[X]:((~creative(X)&curious(X))))=>(~rich(mary)))&
((?[X]:((~wise(X)<~>funny(X))))<=>(~old(john)))&
(![X]:((~strong(X)&... | ~curious(alice) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4424039270103003656524118
% SZS output start Proof for 4424039270103003656524118
1. ! [X0] : ((curious(X0) | ~wise(X0)) <=> (quiet(X0) & patient(X0))) [input p0]
11. ! [X0] : (curious(X0) => ~patient(X0)) [input p10]
23. curious(alice) [input hypothesis]
30. ! [X0] : (~patient(X0) | ~curi... | 0 |
If someone is funny then paul is both brave and not quiet.
If john is creative or not rich then fred is either not quiet or quiet and vice versa.
If someone is both not creative and happy then fred is either generous or not curious and vice versa.
Everyone who is either patient or not old is either not kind or not brav... | Alice is not tall. | contradiction | ((?[X]:(funny(X)))=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((patient(X)<~>~old(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:(generous(X)))<=>(funny(mary)))&
((?[X]:(~kind(X)))<=>(?[X]:((~... | ~tall(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8072111969288916655710411
% SZS output start Proof for 8072111969288916655710411
8. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (~quiet(X0) & tall(X0))) [input p7]
24. ~tall(alice) [input hypothesis]
51. ! [X0] : (((happy(X0) | ~tall(X0)) | (quiet(X0) | ~tall(X0))) & ((~quiet(X0) & tall(X0)) | ... | 0 |
If someone is both not happy and not curious then someone is both not rich and brave.
Everyone who is not curious or creative is either not generous or not happy.
If paul is brave then someone is not strong.
Everyone who is either not brave or rich is not happy or happy.
Everyone who is kind or not brave is not creativ... | Paul is not old. | entailment | ((?[X]:((~happy(X)&~curious(X))))=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:((~curious(X)|creative(X))=>(~generous(X)<~>~happy(X))))&
((brave(paul))=>(?[X]:(~strong(X))))&
(![X]:((~brave(X)<~>rich(X))=>(~happy(X)|happy(X))))&
(![X]:((kind(X)|~brave(X))<=>~creative(X)))&
(![X]:((~kind(X)|curious(X))=>~humble(X)))&
(![X]:((~... | ~old(paul) | [
"p5",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 983112647123978827637321
% SZS output start Proof for 983112647123978827637321
6. ! [X0] : ((curious(X0) | ~kind(X0)) => ~humble(X0)) [input p5]
7. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (~happy(X0) <~> brave(X0))) [input p6]
11. ! [X0] : ((tall(X0) | curious(X0)) => ~brave(X0)) [input ... | 0 |
If paul is not kind or tall then someone is not curious or brave and vice versa. Everyone who is creative or not tall is both quiet and old. If someone is both curious and not old then fred is both quiet and not funny and vice versa. Everyone who is either not curious or not wise is quiet or not brave. If alice is eith... | Fred is not humble. | entailment | (((~kind(paul)|tall(paul)))<=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((creative(X)|~tall(X))=>(quiet(X)&old(X))))&
((?[X]:((curious(X)&~old(X))))<=>((quiet(fred)&~funny(fred))))&
(![X]:((~curious(X)<~>~wise(X))=>(quiet(X)|~brave(X))))&
(((tall(alice)<~>quiet(alice)))=>(?[X]:(kind(X))))&
(![X]:(~humble(X)<=>(funny(X)<~... | ~humble(fred) | [
"p1",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6368243334625326253260782
% SZS output start Proof for 6368243334625326253260782
2. ! [X0] : ((~tall(X0) | creative(X0)) => (old(X0) & quiet(X0))) [input p1]
8. ! [X0] : (~wise(X0) <=> (old(X0) | happy(X0))) [input p7]
14. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~kind(X0) & ~quiet(X0))) [in... | 0 |
Everyone who is both rich and not rich is not humble or quiet and vice versa. If mary is both humble and funny then mary is rich or not happy and vice versa. If fred is both old and strong then lucy is funny and vice versa. If alice is not generous or humble then mary is not strong or rich and vice versa. Everyone who ... | Fred is not curious. | entailment | (![X]:((rich(X)&~rich(X))<=>(~humble(X)|quiet(X))))&
(((humble(mary)&funny(mary)))<=>((rich(mary)|~happy(mary))))&
(((old(fred)&strong(fred)))<=>(funny(lucy)))&
(((~generous(alice)|humble(alice)))<=>((~strong(mary)|rich(mary))))&
(![X]:((strong(X)|quiet(X))<=>(happy(X)|~tall(X))))&
(![X]:((~rich(X)&old(X))<=>(~rich(X)<... | ~curious(fred) | [
"p5",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7271220769409870867276601
% SZS output start Proof for 7271220769409870867276601
6. ! [X0] : ((old(X0) & ~rich(X0)) <=> (~rich(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((~happy(X0) & tall(X0)) <=> (patient(X0) | rich(X0))) [input p6]
14. ! [X0] : ((rich(X0) & calm(X0)) <=> (curious(X0... | 0 |
If someone is both not patient and not humble then mary is both happy and not quiet. If someone is not humble then paul is both not patient and not creative and vice versa. If someone is either not tall or generous then mary is both not brave and not happy and vice versa. If someone is creative or not quiet then someon... | Fred is not creative. | entailment | ((?[X]:((~patient(X)&~humble(X))))=>((happy(mary)&~quiet(mary))))&
((?[X]:(~humble(X)))<=>((~patient(paul)&~creative(paul))))&
((?[X]:((~tall(X)<~>generous(X))))<=>((~brave(mary)&~happy(mary))))&
((?[X]:((creative(X)|~quiet(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(((calm(mary)|~happy(mary)))=>((~tall(paul)&old(paul)))... | ~creative(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7828375201487351997267568
% SZS output start Proof for 7828375201487351997267568
4. ? [X0] : (~quiet(X0) | creative(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p3]
22. creative(fred) [input hypothesis]
23. ? [X0] : (~quiet(X0) | creative(X0)) => ? [X1] : (~strong(X1) & strong(X1)) ... | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | Fred is not patient. | entailment | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | ~patient(fred) | [
"p0",
"p1",
"p4",
"p6",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7012322526621950268881001
% SZS output start Proof for 7012322526621950268881001
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
2. ! [X0] : ((wise(X0) & strong(X0)) <=> (~creative(X0) <~> ~kind(X0))) [input p1]
5. ! [X0] : ((~kind(X0) <~> tall(X0)) => ~c... | 0 |
Everyone who is both not patient and not happy is not generous and vice versa. If alice is either creative or not patient then someone is old and vice versa. Everyone who is patient or not patient is not funny and vice versa. Everyone who is either rich or not strong is either brave or tall and vice versa. Everyone who... | Fred is not funny. | entailment | (![X]:((~patient(X)&~happy(X))<=>~generous(X)))&
(((creative(alice)<~>~patient(alice)))<=>(?[X]:(old(X))))&
(![X]:((patient(X)|~patient(X))<=>~funny(X)))&
(![X]:((rich(X)<~>~strong(X))<=>(brave(X)<~>tall(X))))&
(![X]:((~humble(X)|~tall(X))<=>(calm(X)<~>~creative(X))))&
(![X]:((kind(X)<~>old(X))=>(~generous(X)|~patient(... | ~funny(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3957972350169887183747593
% SZS output start Proof for 3957972350169887183747593
3. ! [X0] : ((~patient(X0) | patient(X0)) <=> ~funny(X0)) [input p2]
25. funny(fred) [input hypothesis]
45. ! [X0] : (((~patient(X0) | patient(X0)) | funny(X0)) & (~funny(X0) | (patient(X0) & ~patient(X0)))) ... | 0 |
Everyone who is both not happy and patient is not happy or not tall and vice versa.
If alice is both not humble and wise then alice is either patient or quiet and vice versa.
If paul is old then someone is both patient and not humble and vice versa.
Everyone who is not wise or rich is happy or wise.
If someone is not t... | Paul is calm. | neutral | (![X]:((~happy(X)&patient(X))<=>(~happy(X)|~tall(X))))&
(((~humble(alice)&wise(alice)))<=>((patient(alice)<~>quiet(alice))))&
((old(paul))<=>(?[X]:((patient(X)&~humble(X)))))&
(![X]:((~wise(X)|rich(X))=>(happy(X)|wise(X))))&
((?[X]:(~tall(X)))=>(?[X]:(brave(X))))&
(((~kind(fred)&~strong(fred)))=>(?[X]:((~rich(X)|patien... | calm(paul) | [] | null | 0 |
Everyone who is either wise or curious is both quiet and not quiet. Everyone who is either happy or not curious is either kind or old and vice versa. If someone is not creative or strong then someone is both patient and tall and vice versa. If paul is both funny and not rich then someone is not curious and vice versa. ... | Mary is curious. | entailment | (![X]:((wise(X)<~>curious(X))=>(quiet(X)&~quiet(X))))&
(![X]:((happy(X)<~>~curious(X))<=>(kind(X)<~>old(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(((funny(paul)&~rich(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((brave(X)|~curious(X))<=>(patient(X)&curious(X))))&
(((~strong(susan)|~rich(sus... | curious(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6513034616726223962211218
% SZS output start Proof for 6513034616726223962211218
5. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) & patient(X0))) [input p4]
22. ~curious(mary) [input hypothesis]
42. ! [X0] : (((~curious(X0) | brave(X0)) | (~curious(X0) | ~patient(X0))) & ((curious... | 0 |
Everyone who is both kind and creative is both kind and old.
If someone is either humble or not strong then someone is old.
Everyone who is either not calm or wise is both not generous and patient and vice versa.
Everyone who is either not creative or old is both strong and not wise and vice versa.
Everyone who is not ... | Lucy is not brave. | contradiction | (![X]:((kind(X)&creative(X))=>(kind(X)&old(X))))&
((?[X]:((humble(X)<~>~strong(X))))=>(?[X]:(old(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~generous(X)&patient(X))))&
(![X]:((~creative(X)<~>old(X))<=>(strong(X)&~wise(X))))&
(![X]:(~old(X)<=>(kind(X)|generous(X))))&
(((calm(alice)|wise(alice)))<=>(?[X]:((quiet(X)&~creative(... | ~brave(lucy) | [
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8700355605688621255263925
% SZS output start Proof for 8700355605688621255263925
12. ! [X0] : (funny(X0) => (~curious(X0) & ~quiet(X0))) [input p11]
13. ! [X0] : ((funny(X0) <~> curious(X0)) <=> brave(X0)) [input p12]
18. patient(lucy) & curious(lucy) [input p17]
25. ~brave(lucy) [input h... | 0 |
Everyone who is either not quiet or calm is either quiet or not humble.
If someone is brave or not calm then lucy is both not curious and not funny.
Everyone who is both curious and patient is strong or not creative and vice versa.
Everyone who is not strong is not kind or rich and vice versa.
If someone is not rich th... | Fred is happy. | neutral | (![X]:((~quiet(X)<~>calm(X))=>(quiet(X)<~>~humble(X))))&
((?[X]:((brave(X)|~calm(X))))=>((~curious(lucy)&~funny(lucy))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)|rich(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(((old(alice)|~humble(alice)))<=>((~tal... | happy(fred) | [] | null | 0 |
Everyone who is not wise is kind or not calm.
Everyone who is not kind or not funny is both funny and not old.
If someone is both generous and not rich then someone is not generous or not happy and vice versa.
Everyone who is rich is not patient.
Everyone who is both not kind and curious is either quiet or not old and ... | Mary is not patient. | entailment | (![X]:(~wise(X)=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)|~funny(X))=>(funny(X)&~old(X))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((~kind(X)&curious(X))<=>(quiet(X)<~>~old(X))))&
(((creative(paul)&~strong(paul)))<=>(creative(alice)))&
(![X]:(old(X)=>(~... | ~patient(mary) | [
"p1",
"p3",
"p4",
"p6",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2822096107284941953276425
% SZS output start Proof for 2822096107284941953276425
2. ! [X0] : ((~funny(X0) | ~kind(X0)) => (~old(X0) & funny(X0))) [input p1]
4. ! [X0] : (rich(X0) => ~patient(X0)) [input p3]
5. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p4]
7.... | 0 |
If someone is both brave and strong then someone is not brave or patient. If someone is not brave then someone is not tall or calm. Everyone who is either not humble or calm is not happy or not kind and vice versa. If someone is wise then susan is both rich and quiet. Everyone who is not rich or not quiet is not calm o... | Susan is old. | contradiction | ((?[X]:((brave(X)&strong(X))))=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((~tall(X)|calm(X)))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(!... | old(susan) | [
"p6",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2044233517773877925860825
% SZS output start Proof for 2044233517773877925860825
7. ! [X0] : ((humble(X0) & strong(X0)) <=> (~brave(X0) | old(X0))) [input p6]
10. ? [X0] : kind(X0) <=> ? [X0] : (~brave(X0) & ~humble(X0)) [input p9]
11. ! [X0] : (~generous(X0) => (strong(X0) <~> ~kind(X0))... | 0 |
If alice is not old then someone is creative or not funny and vice versa. If someone is calm then someone is calm or not funny and vice versa. Everyone who is patient is tall or not old and vice versa. Everyone who is generous is both rich and not quiet and vice versa. Everyone who is not funny is either not old or pat... | Fred is generous. | contradiction | ((~old(alice))<=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:(patient(X)<=>(tall(X)|~old(X))))&
(![X]:(generous(X)<=>(rich(X)&~quiet(X))))&
(![X]:(~funny(X)<=>(~old(X)<~>patient(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~brave(X)|~generous(X)))))&
(![X]:((curious(X)<~>~quiet(X)... | generous(fred) | [
"p2",
"p3",
"p4",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3960942764809653142354275
% SZS output start Proof for 3960942764809653142354275
3. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (~quiet(X0) & rich(X0))) [input p3]
5. ! [X0] : (~funny(X0) <=> (~old(X0) <~> patient(X0))) [input p4]
8. (generous... | 0 |
Everyone who is both strong and calm is not generous or not strong and vice versa.
Everyone who is happy is both not tall and old and vice versa.
If someone is both not humble and tall then alice is either tall or not happy.
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then ... | Lucy is not curious. | contradiction | (![X]:((strong(X)&calm(X))<=>(~generous(X)|~strong(X))))&
(![X]:(happy(X)<=>(~tall(X)&old(X))))&
((?[X]:((~humble(X)&tall(X))))=>((tall(alice)<~>~happy(alice))))&
(![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
... | ~curious(lucy) | [
"p0",
"p1",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9194901025245938887500752
% SZS output start Proof for 9194901025245938887500752
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
2. ! [X0] : (happy(X0) <=> (old(X0) & ~tall(X0))) [input p1]
7. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~tall(X0) <~> patie... | 0 |
If someone is not kind or not humble then someone is both not quiet and kind and vice versa. If paul is either not strong or not wise then fred is either not creative or old and vice versa. Everyone who is not generous or not happy is either not humble or kind. Everyone who is either happy or not creative is not quiet ... | Fred is not calm. | neutral | ((?[X]:((~kind(X)|~humble(X))))<=>(?[X]:((~quiet(X)&kind(X)))))&
(((~strong(paul)<~>~wise(paul)))<=>((~creative(fred)<~>old(fred))))&
(![X]:((~generous(X)|~happy(X))=>(~humble(X)<~>kind(X))))&
(![X]:((happy(X)<~>~creative(X))<=>~quiet(X)))&
(![X]:((kind(X)<~>~wise(X))=>(~curious(X)&~funny(X))))&
(![X]:((generous(X)|~cu... | ~calm(fred) | [] | null | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Fred is not generous. | contradiction | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | ~generous(fred) | [
"p2",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5884846295283124346158970
% SZS output start Proof for 5884846295283124346158970
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
10. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0)) [input p9]
11. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (creative(X... | 0 |
If someone is not happy or not funny then someone is either not rich or rich. Everyone who is either not strong or not quiet is both rich and kind. If susan is either patient or not humble then susan is either patient or calm and vice versa. Everyone who is either not brave or not calm is not brave and vice versa. Ever... | Alice is not funny. | contradiction | ((?[X]:((~happy(X)|~funny(X))))=>(?[X]:((~rich(X)<~>rich(X)))))&
(![X]:((~strong(X)<~>~quiet(X))=>(rich(X)&kind(X))))&
(((patient(susan)<~>~humble(susan)))<=>((patient(susan)<~>calm(susan))))&
(![X]:((~brave(X)<~>~calm(X))<=>~brave(X)))&
(![X]:(~curious(X)<=>~calm(X)))&
((kind(paul))=>((funny(john)&curious(john))))&
((... | ~funny(alice) | [
"p3",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8053701177335181666444031
% SZS output start Proof for 8053701177335181666444031
4. ! [X0] : ((~brave(X0) <~> ~calm(X0)) <=> ~brave(X0)) [input p3]
9. ? [X0] : (patient(X0) | ~curious(X0)) <=> (~calm(alice) | funny(alice)) [input p8]
19. ? [X0] : (patient(X0) & ~creative(X0)) [input p18]
... | 0 |
If mary is either not happy or not humble then someone is both not creative and not wise and vice versa.
Everyone who is not quiet is not patient or rich and vice versa.
If someone is curious then someone is either generous or not brave.
If paul is quiet then someone is either not strong or not calm.
Everyone who is cu... | Mary is not humble. | entailment | (((~happy(mary)<~>~humble(mary)))<=>(?[X]:((~creative(X)&~wise(X)))))&
(![X]:(~quiet(X)<=>(~patient(X)|rich(X))))&
((?[X]:(curious(X)))=>(?[X]:((generous(X)<~>~brave(X)))))&
((quiet(paul))=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:(curious(X)<=>(~tall(X)&wise(X))))&
(((~strong(alice)<~>~creative(alice)))=>(?[X]:((~crea... | ~humble(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8134786678546264331600804
% SZS output start Proof for 8134786678546264331600804
23. ~happy(mary) & ~humble(mary) [input p22]
25. humble(mary) [input hypothesis]
143. ~humble(mary) [cnf transformation 23]
147. humble(mary) [cnf transformation 25]
156. 3 <=> humble(mary) [avatar definition... | 0 |
If lucy is either not humble or not curious then alice is either quiet or strong and vice versa.
If fred is calm then lucy is either not curious or calm and vice versa.
Everyone who is old or tall is both tall and quiet and vice versa.
If lucy is happy then susan is both not strong and curious.
Everyone who is brave is... | Mary is tall. | neutral | (((~humble(lucy)<~>~curious(lucy)))<=>((quiet(alice)<~>strong(alice))))&
((calm(fred))<=>((~curious(lucy)<~>calm(lucy))))&
(![X]:((old(X)|tall(X))<=>(tall(X)&quiet(X))))&
((happy(lucy))=>((~strong(susan)&curious(susan))))&
(![X]:(brave(X)<=>happy(X)))&
((?[X]:((quiet(X)<~>~creative(X))))=>((rich(alice)|~old(alice))))&
... | tall(mary) | [] | null | 0 |
Everyone who is either not calm or strong is not tall or not humble. If lucy is both not happy and not quiet then someone is not kind and vice versa. If susan is not curious or rich then someone is not old and vice versa. Everyone who is calm or humble is both happy and tall and vice versa. Everyone who is humble or no... | Lucy is not calm. | contradiction | (![X]:((~calm(X)<~>strong(X))=>(~tall(X)|~humble(X))))&
(((~happy(lucy)&~quiet(lucy)))<=>(?[X]:(~kind(X))))&
(((~curious(susan)|rich(susan)))<=>(?[X]:(~old(X))))&
(![X]:((calm(X)|humble(X))<=>(happy(X)&tall(X))))&
(![X]:((humble(X)|~calm(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((wise(X)&funny(X))))=>(?[X]:((~generous(X)&... | ~calm(lucy) | [
"p1",
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5102058080530940560765892
% SZS output start Proof for 5102058080530940560765892
2. (~quiet(lucy) & ~happy(lucy)) <=> ? [X0] : ~kind(X0) [input p1]
4. ! [X0] : ((humble(X0) | calm(X0)) <=> (tall(X0) & happy(X0))) [input p3]
5. ! [X0] : ((~calm(X0) | humble(X0)) <=> (~humble(X0) & ~kind(X0... | 0 |
If someone is both funny and not wise then someone is either creative or funny and vice versa. Everyone who is both not quiet and not wise is not humble and vice versa. Everyone who is either not strong or not funny is calm or not quiet and vice versa. Everyone who is either funny or not wise is not patient and vice ve... | Alice is not funny. | entailment | ((?[X]:((funny(X)&~wise(X))))<=>(?[X]:((creative(X)<~>funny(X)))))&
(![X]:((~quiet(X)&~wise(X))<=>~humble(X)))&
(![X]:((~strong(X)<~>~funny(X))<=>(calm(X)|~quiet(X))))&
(![X]:((funny(X)<~>~wise(X))<=>~patient(X)))&
(![X]:((~generous(X)<~>~calm(X))<=>(humble(X)&~happy(X))))&
(![X]:((tall(X)<~>kind(X))=>(~old(X)|~kind(X)... | ~funny(alice) | [
"p4",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5342186431056762087261210
% SZS output start Proof for 5342186431056762087261210
5. ! [X0] : ((~generous(X0) <~> ~calm(X0)) <=> (~happy(X0) & humble(X0))) [input p4]
11. ! [X0] : ((~humble(X0) & ~generous(X0)) <=> (~happy(X0) | patient(X0))) [input p10]
14. ? [X0] : (~happy(X0) & calm(X0)... | 0 |
Everyone who is not happy or not kind is calm or brave.
If lucy is not kind then someone is either calm or generous and vice versa.
If susan is both calm and not funny then susan is both kind and not strong and vice versa.
Everyone who is wise or brave is funny or not calm and vice versa.
Everyone who is kind is not hu... | Lucy is not rich. | contradiction | (![X]:((~happy(X)|~kind(X))=>(calm(X)|brave(X))))&
((~kind(lucy))<=>(?[X]:((calm(X)<~>generous(X)))))&
(((calm(susan)&~funny(susan)))<=>((kind(susan)&~strong(susan))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)|~calm(X))))&
(![X]:(kind(X)<=>~humble(X)))&
(![X]:((~humble(X)|happy(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((kind(... | ~rich(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2431625643160777019297920
% SZS output start Proof for 2431625643160777019297920
2. ~kind(lucy) <=> ? [X0] : (calm(X0) <~> generous(X0)) [input p1]
4. ! [X0] : ((brave(X0) | wise(X0)) <=> (~calm(X0) | funny(X0))) [input p3]
5. ! [X0] : (kind(X0) <=> ~humble(X0)) [input p4]
6. ! [X0] : ((h... | 0 |
If someone is rich or not happy then mary is rich or old and vice versa.
Everyone who is both not happy and curious is both happy and not strong and vice versa.
If someone is both not quiet and humble then susan is not wise and vice versa.
Everyone who is both not quiet and rich is not creative.
If someone is either wi... | Lucy is old. | neutral | ((?[X]:((rich(X)|~happy(X))))<=>((rich(mary)|old(mary))))&
(![X]:((~happy(X)&curious(X))<=>(happy(X)&~strong(X))))&
((?[X]:((~quiet(X)&humble(X))))<=>(~wise(susan)))&
(![X]:((~quiet(X)&rich(X))=>~creative(X)))&
((?[X]:((wise(X)<~>calm(X))))=>((~calm(lucy)<~>generous(lucy))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:(~cre... | old(lucy) | [] | null | 0 |
If someone is not patient or not tall then alice is either not patient or not wise. Everyone who is either wise or creative is either not rich or not funny and vice versa. Everyone who is not curious is both calm and not wise. Everyone who is not funny is patient or not wise and vice versa. If someone is happy or brave... | Alice is not rich. | neutral | ((?[X]:((~patient(X)|~tall(X))))=>((~patient(alice)<~>~wise(alice))))&
(![X]:((wise(X)<~>creative(X))<=>(~rich(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(calm(X)&~wise(X))))&
(![X]:(~funny(X)<=>(patient(X)|~wise(X))))&
((?[X]:((happy(X)|brave(X))))=>((~calm(john)<~>rich(john))))&
(![X]:(funny(X)<=>(wise(X)<~>~patient(X)))... | ~rich(alice) | [] | null | 0 |
If susan is either not quiet or not tall then someone is rich or funny and vice versa.
Everyone who is both patient and not humble is either not creative or curious.
If paul is both generous and not tall then someone is either not rich or not kind.
If fred is both not strong and humble then someone is either not happy ... | Lucy is humble. | neutral | (((~quiet(susan)<~>~tall(susan)))<=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((patient(X)&~humble(X))=>(~creative(X)<~>curious(X))))&
(((generous(paul)&~tall(paul)))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(((~strong(fred)&humble(fred)))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(((~happy(lucy)&curious(lucy)))<=>(~generous(mary)))&
((... | humble(lucy) | [] | null | 0 |
Everyone who is not old is either strong or quiet and vice versa.
Everyone who is either not rich or funny is either happy or not quiet and vice versa.
Everyone who is both not strong and old is either tall or happy.
Everyone who is either tall or not patient is either wise or not brave and vice versa.
Everyone who is ... | John is humble. | neutral | (![X]:(~old(X)<=>(strong(X)<~>quiet(X))))&
(![X]:((~rich(X)<~>funny(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~strong(X)&old(X))=>(tall(X)<~>happy(X))))&
(![X]:((tall(X)<~>~patient(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~kind(X)<~>calm(X))))&
((?[X]:(tall(X)))<=>(strong(lucy)))&
(![X]:((~hu... | humble(john) | [] | null | 0 |
Everyone who is either not generous or not kind is humble and vice versa.
If alice is not generous then lucy is old and vice versa.
If someone is not humble then fred is either not kind or not rich.
If john is kind then someone is tall or curious and vice versa.
Everyone who is curious or not humble is both wise and cu... | Fred is rich. | neutral | (![X]:((~generous(X)<~>~kind(X))<=>humble(X)))&
((~generous(alice))<=>(old(lucy)))&
((?[X]:(~humble(X)))=>((~kind(fred)<~>~rich(fred))))&
((kind(john))<=>(?[X]:((tall(X)|curious(X)))))&
(![X]:((curious(X)|~humble(X))=>(wise(X)&curious(X))))&
(((~old(mary)&brave(mary)))=>((~funny(john)&~happy(john))))&
(![X]:((rich(X)<~... | rich(fred) | [] | null | 0 |
If someone is calm or not brave then someone is not brave or not curious.
If lucy is not calm or tall then someone is both not old and kind.
If mary is kind or tall then fred is both tall and wise and vice versa.
If john is generous then someone is either kind or tall and vice versa.
If someone is generous then fred is... | Mary is tall. | contradiction | ((?[X]:((calm(X)|~brave(X))))=>(?[X]:((~brave(X)|~curious(X)))))&
(((~calm(lucy)|tall(lucy)))=>(?[X]:((~old(X)&kind(X)))))&
(((kind(mary)|tall(mary)))<=>((tall(fred)&wise(fred))))&
((generous(john))<=>(?[X]:((kind(X)<~>tall(X)))))&
((?[X]:(generous(X)))=>(calm(fred)))&
(![X]:((wise(X)&happy(X))=>(~old(X)<~>~rich(X))))&... | tall(mary) | [
"p2",
"p4",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2186466676994672231573457
% SZS output start Proof for 2186466676994672231573457
3. (tall(mary) | kind(mary)) <=> (wise(fred) & tall(fred)) [input p2]
5. ? [X0] : generous(X0) => calm(fred) [input p4]
8. ! [X0] : (calm(X0) <=> (~wise(X0) & ~curious(X0))) [input p7]
22. generous(mary) | ~t... | 0 |
If someone is tall then lucy is creative or strong and vice versa. Everyone who is generous or not strong is either curious or not wise and vice versa. Everyone who is not humble is either curious or not patient and vice versa. If someone is calm then john is not strong. If mary is both not wise and not tall then fred ... | Susan is not patient. | contradiction | ((?[X]:(tall(X)))<=>((creative(lucy)|strong(lucy))))&
(![X]:((generous(X)|~strong(X))<=>(curious(X)<~>~wise(X))))&
(![X]:(~humble(X)<=>(curious(X)<~>~patient(X))))&
((?[X]:(calm(X)))=>(~strong(john)))&
(((~wise(mary)&~tall(mary)))=>((~funny(fred)<~>~rich(fred))))&
(![X]:((~patient(X)<~>calm(X))<=>(rich(X)&~happy(X))))&... | ~patient(susan) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5734895336627173321988073
% SZS output start Proof for 5734895336627173321988073
7. ! [X0] : ((~patient(X0) | generous(X0)) => (brave(X0) & humble(X0))) [input p6]
24. ~humble(susan) & ~rich(susan) [input p23]
25. ~patient(susan) [input hypothesis]
30. ! [X0] : ((brave(X0) & humble(X0)) |... | 0 |
If john is creative then someone is wise and vice versa. Everyone who is either not rich or curious is either patient or generous and vice versa. If lucy is either old or quiet then susan is both not strong and not quiet and vice versa. Everyone who is not happy or not patient is not happy. Everyone who is old is both ... | Paul is kind. | neutral | ((creative(john))<=>(?[X]:(wise(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(patient(X)<~>generous(X))))&
(((old(lucy)<~>quiet(lucy)))<=>((~strong(susan)&~quiet(susan))))&
(![X]:((~happy(X)|~patient(X))=>~happy(X)))&
(![X]:(old(X)<=>(~patient(X)&~curious(X))))&
(((~kind(paul)<~>wise(paul)))=>((~kind(john)&funny(john))))&
(... | kind(paul) | [] | null | 0 |
If someone is not kind then someone is not happy or calm.
Everyone who is either not generous or not tall is either quiet or not patient.
Everyone who is both not calm and not rich is quiet.
If paul is tall then someone is either not creative or not happy and vice versa.
Everyone who is not funny is either not funny or... | Alice is not tall. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((~generous(X)<~>~tall(X))=>(quiet(X)<~>~patient(X))))&
(![X]:((~calm(X)&~rich(X))=>quiet(X)))&
((tall(paul))<=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:(~funny(X)<=>(~funny(X)<~>~quiet(X))))&
(((quiet(lucy)|wise(lucy)))<=>(?[X]:((~patient(X)<~>~old(X)))))&
((... | ~tall(alice) | [] | null | 0 |
If someone is calm or not generous then alice is not funny or strong and vice versa. If alice is funny or not humble then fred is funny or curious. Everyone who is either strong or not generous is humble. Everyone who is not rich is either not curious or humble. Everyone who is not strong or creative is either not calm... | Alice is brave. | neutral | ((?[X]:((calm(X)|~generous(X))))<=>((~funny(alice)|strong(alice))))&
(((funny(alice)|~humble(alice)))=>((funny(fred)|curious(fred))))&
(![X]:((strong(X)<~>~generous(X))=>humble(X)))&
(![X]:(~rich(X)=>(~curious(X)<~>humble(X))))&
(![X]:((~strong(X)|creative(X))=>(~calm(X)<~>~rich(X))))&
((?[X]:(~happy(X)))=>(~creative(l... | brave(alice) | [] | null | 0 |
Everyone who is rich is both not creative and curious and vice versa.
Everyone who is kind is not kind or quiet and vice versa.
Everyone who is both not tall and humble is both generous and not curious.
Everyone who is both not humble and curious is both not brave and old.
If susan is either funny or not happy then som... | Mary is not rich. | entailment | (![X]:(rich(X)<=>(~creative(X)&curious(X))))&
(![X]:(kind(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~tall(X)&humble(X))=>(generous(X)&~curious(X))))&
(![X]:((~humble(X)&curious(X))=>(~brave(X)&old(X))))&
(((funny(susan)<~>~happy(susan)))=>(?[X]:(~patient(X))))&
(((patient(john)|generous(john)))<=>(?[X]:((old(X)<~>~rich(X))))... | ~rich(mary) | [
"p0",
"p1",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 460182541975040053482796
% SZS output start Proof for 460182541975040053482796
1. ! [X0] : (rich(X0) <=> (curious(X0) & ~creative(X0))) [input p0]
2. ! [X0] : (kind(X0) <=> (quiet(X0) | ~kind(X0))) [input p1]
12. ? [X0] : (~old(X0) & curious(X0)) <=> ? [X0] : ~kind(X0) [input p11]
20. ~ol... | 0 |
Everyone who is not quiet is not old or humble and vice versa.
Everyone who is both generous and rich is not kind and vice versa.
Everyone who is either not kind or creative is not old or humble.
If susan is not curious then someone is either quiet or not creative.
If mary is either not calm or tall then alice is not k... | John is not happy. | neutral | (![X]:(~quiet(X)<=>(~old(X)|humble(X))))&
(![X]:((generous(X)&rich(X))<=>~kind(X)))&
(![X]:((~kind(X)<~>creative(X))=>(~old(X)|humble(X))))&
((~curious(susan))=>(?[X]:((quiet(X)<~>~creative(X)))))&
(((~calm(mary)<~>tall(mary)))=>((~kind(alice)|brave(alice))))&
(![X]:((~humble(X)|kind(X))=>quiet(X)))&
(![X]:((quiet(X)|~... | ~happy(john) | [] | null | 0 |
Everyone who is either not funny or funny is both not kind and not wise.
Everyone who is either quiet or creative is rich or not happy.
If someone is either creative or not wise then paul is both kind and creative and vice versa.
Everyone who is kind or not tall is both not strong and not wise.
If someone is either cal... | John is rich. | entailment | (![X]:((~funny(X)<~>funny(X))=>(~kind(X)&~wise(X))))&
(![X]:((quiet(X)<~>creative(X))=>(rich(X)|~happy(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>((kind(paul)&creative(paul))))&
(![X]:((kind(X)|~tall(X))=>(~strong(X)&~wise(X))))&
((?[X]:((calm(X)<~>~strong(X))))=>(?[X]:((~rich(X)|~brave(X)))))&
(![X]:((~patient(X)&~ta... | rich(john) | [
"p0",
"p2",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 19980254175804118613621
% SZS output start Proof for 19980254175804118613621
1. ! [X0] : ((~funny(X0) <~> funny(X0)) => (~wise(X0) & ~kind(X0))) [input p0]
3. ? [X0] : (creative(X0) <~> ~wise(X0)) <=> (creative(paul) & kind(paul)) [input p2]
6. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> ~ri... | 0 |
If alice is both not funny and not happy then someone is either not happy or brave.
Everyone who is not kind is both not humble and not old.
If someone is both funny and not strong then someone is quiet or curious.
Everyone who is wise or kind is both not generous and old.
Everyone who is wise is not wise or patient.
I... | Susan is tall. | entailment | (((~funny(alice)&~happy(alice)))=>(?[X]:((~happy(X)<~>brave(X)))))&
(![X]:(~kind(X)=>(~humble(X)&~old(X))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:((wise(X)|kind(X))=>(~generous(X)&old(X))))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>old(sus... | tall(susan) | [
"p1",
"p3",
"p7",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2483384723454211235440227
% SZS output start Proof for 2483384723454211235440227
2. ! [X0] : (~kind(X0) => (~old(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((kind(X0) | wise(X0)) => (old(X0) & ~generous(X0))) [input p3]
8. ! [X0] : ((humble(X0) | ~generous(X0)) => (~kind(X0) & quiet(X0)))... | 0 |
Everyone who is both calm and not calm is either not happy or not funny. If mary is not strong then someone is old or quiet and vice versa. If susan is not kind or kind then john is not humble and vice versa. Everyone who is both curious and quiet is not patient or not curious. Everyone who is either not old or quiet i... | Mary is not strong. | neutral | (![X]:((calm(X)&~calm(X))=>(~happy(X)<~>~funny(X))))&
((~strong(mary))<=>(?[X]:((old(X)|quiet(X)))))&
(((~kind(susan)|kind(susan)))<=>(~humble(john)))&
(![X]:((curious(X)&quiet(X))=>(~patient(X)|~curious(X))))&
(![X]:((~old(X)<~>quiet(X))<=>(calm(X)<~>~kind(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>~wise(X)))&
(![X]:(ca... | ~strong(mary) | [] | null | 0 |
If mary is either brave or funny then someone is funny and vice versa.
If someone is quiet or not happy then someone is curious and vice versa.
Everyone who is both quiet and not old is either humble or not quiet and vice versa.
If someone is both rich and not curious then paul is both not wise and quiet.
Everyone who ... | Mary is rich. | contradiction | (((brave(mary)<~>funny(mary)))<=>(?[X]:(funny(X))))&
((?[X]:((quiet(X)|~happy(X))))<=>(?[X]:(curious(X))))&
(![X]:((quiet(X)&~old(X))<=>(humble(X)<~>~quiet(X))))&
((?[X]:((rich(X)&~curious(X))))=>((~wise(paul)&quiet(paul))))&
(![X]:((~old(X)&~rich(X))<=>(happy(X)|~curious(X))))&
(![X]:((brave(X)|calm(X))=>(~old(X)&humb... | rich(mary) | [
"p4",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3133818088522881281334139
% SZS output start Proof for 3133818088522881281334139
5. ! [X0] : ((~rich(X0) & ~old(X0)) <=> (~curious(X0) | happy(X0))) [input p4]
11. (rich(mary) & ~happy(mary)) <=> generous(fred) [input p10]
20. ~generous(fred) & old(fred) [input p19]
23. rich(mary) [input ... | 0 |
If someone is not old or humble then susan is both humble and kind. If someone is not happy then mary is both not strong and strong and vice versa. Everyone who is both not humble and curious is both not happy and wise and vice versa. Everyone who is not kind is both not kind and calm and vice versa. Everyone who is no... | Alice is not happy. | contradiction | ((?[X]:((~old(X)|humble(X))))=>((humble(susan)&kind(susan))))&
((?[X]:(~happy(X)))<=>((~strong(mary)&strong(mary))))&
(![X]:((~humble(X)&curious(X))<=>(~happy(X)&wise(X))))&
(![X]:(~kind(X)<=>(~kind(X)&calm(X))))&
(![X]:((~generous(X)|curious(X))=>funny(X)))&
((?[X]:(generous(X)))<=>((~curious(lucy)<~>~humble(lucy))))&... | ~happy(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2659837658056421556912228
% SZS output start Proof for 2659837658056421556912228
2. ? [X0] : ~happy(X0) <=> (strong(mary) & ~strong(mary)) [input p1]
24. ~happy(alice) [input hypothesis]
37. (? [X0] : ~happy(X0) | (~strong(mary) | strong(mary))) & ((strong(mary) & ~strong(mary)) | ! [X0] ... | 0 |
Everyone who is not funny is rich or old and vice versa. Everyone who is either strong or rich is both generous and quiet and vice versa. If john is either not happy or calm then someone is not brave or not creative. Everyone who is old is not happy or brave. If someone is both rich and curious then john is quiet or ha... | John is old. | neutral | (![X]:(~funny(X)<=>(rich(X)|old(X))))&
(![X]:((strong(X)<~>rich(X))<=>(generous(X)&quiet(X))))&
(((~happy(john)<~>calm(john)))=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:(old(X)=>(~happy(X)|brave(X))))&
((?[X]:((rich(X)&curious(X))))=>((quiet(john)|happy(john))))&
(((~patient(john)&happy(john)))=>((~creative(susan)<~>~... | old(john) | [] | null | 0 |
Everyone who is generous or humble is not humble or not creative.
If susan is funny or not kind then someone is either not patient or wise.
If fred is both not strong and quiet then paul is not brave or funny and vice versa.
If fred is quiet or generous then someone is both not patient and kind and vice versa.
Everyone... | Paul is funny. | neutral | (![X]:((generous(X)|humble(X))=>(~humble(X)|~creative(X))))&
(((funny(susan)|~kind(susan)))=>(?[X]:((~patient(X)<~>wise(X)))))&
(((~strong(fred)&quiet(fred)))<=>((~brave(paul)|funny(paul))))&
(((quiet(fred)|generous(fred)))<=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:((~calm(X)&brave(X))=>(~patient(X)&~curious(X))))&
(![X... | funny(paul) | [] | null | 0 |
Everyone who is old is both not generous and not calm.
Everyone who is not brave or not patient is not creative and vice versa.
Everyone who is generous is curious or patient and vice versa.
Everyone who is not old is both not curious and not rich.
Everyone who is not tall or tall is either not tall or generous.
Everyo... | John is quiet. | contradiction | (![X]:(old(X)=>(~generous(X)&~calm(X))))&
(![X]:((~brave(X)|~patient(X))<=>~creative(X)))&
(![X]:(generous(X)<=>(curious(X)|patient(X))))&
(![X]:(~old(X)=>(~curious(X)&~rich(X))))&
(![X]:((~tall(X)|tall(X))=>(~tall(X)<~>generous(X))))&
(![X]:((strong(X)&~wise(X))<=>(~creative(X)&brave(X))))&
((?[X]:(humble(X)))=>((happ... | quiet(john) | [
"p1",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 706325680263252620500978
% SZS output start Proof for 706325680263252620500978
2. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> ~creative(X0)) [input p1]
14. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> ~rich(X0)) [input p13]
16. ! [X0] : ((humble(X0) | ~humble(X0)) => (~rich(X0) & ~patient(X0... | 0 |
Everyone who is happy is not strong and vice versa.
Everyone who is either not tall or strong is either quiet or not brave and vice versa.
If someone is quiet or brave then someone is both strong and funny.
If susan is both not patient and old then someone is both calm and humble and vice versa.
Everyone who is both ri... | Mary is humble. | neutral | (![X]:(happy(X)<=>~strong(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(quiet(X)<~>~brave(X))))&
((?[X]:((quiet(X)|brave(X))))=>(?[X]:((strong(X)&funny(X)))))&
(((~patient(susan)&old(susan)))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((rich(X)&~funny(X))<=>happy(X)))&
(![X]:((~old(X)<~>strong(X))=>brave(X)))&
(![X]:((~kind(X)<~>... | humble(mary) | [] | null | 0 |
If alice is both not patient and not calm then fred is not old or patient.
Everyone who is brave or kind is both tall and brave and vice versa.
If someone is calm then someone is not quiet and vice versa.
Everyone who is both not rich and not funny is both tall and calm and vice versa.
Everyone who is not humble or fun... | Alice is not creative. | neutral | (((~patient(alice)&~calm(alice)))=>((~old(fred)|patient(fred))))&
(![X]:((brave(X)|kind(X))<=>(tall(X)&brave(X))))&
((?[X]:(calm(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~rich(X)&~funny(X))<=>(tall(X)&calm(X))))&
(![X]:((~humble(X)|funny(X))=>(rich(X)<~>tall(X))))&
(![X]:((strong(X)|~calm(X))<=>(funny(X)&~creative(X))))&
(!... | ~creative(alice) | [] | null | 0 |
If fred is happy or curious then someone is not patient or brave.
If someone is either humble or not calm then someone is both not quiet and not curious.
If someone is either old or not rich then paul is either rich or not tall and vice versa.
Everyone who is not curious or funny is curious and vice versa.
If fred is b... | Fred is not tall. | entailment | (((happy(fred)|curious(fred)))=>(?[X]:((~patient(X)|brave(X)))))&
((?[X]:((humble(X)<~>~calm(X))))=>(?[X]:((~quiet(X)&~curious(X)))))&
((?[X]:((old(X)<~>~rich(X))))<=>((rich(paul)<~>~tall(paul))))&
(![X]:((~curious(X)|funny(X))<=>curious(X)))&
(((~happy(fred)&~tall(fred)))=>(creative(lucy)))&
((?[X]:((~funny(X)<~>~old(... | ~tall(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8901764334918413753903826
% SZS output start Proof for 8901764334918413753903826
12. ! [X0] : (tall(X0) <=> (~humble(X0) & humble(X0))) [input p11]
20. tall(fred) [input hypothesis]
56. ! [X0] : ((tall(X0) | (humble(X0) | ~humble(X0))) & ((~humble(X0) & humble(X0)) | ~tall(X0))) [nnf tran... | 0 |
If someone is not tall then lucy is both happy and not kind.
Everyone who is patient is not kind or wise and vice versa.
Everyone who is not brave is curious or kind.
Everyone who is both humble and not humble is both not quiet and not creative.
Everyone who is either not calm or brave is quiet and vice versa.
Everyone... | Lucy is brave. | entailment | ((?[X]:(~tall(X)))=>((happy(lucy)&~kind(lucy))))&
(![X]:(patient(X)<=>(~kind(X)|wise(X))))&
(![X]:(~brave(X)=>(curious(X)|kind(X))))&
(![X]:((humble(X)&~humble(X))=>(~quiet(X)&~creative(X))))&
(![X]:((~calm(X)<~>brave(X))<=>quiet(X)))&
(![X]:((funny(X)|~brave(X))=>(~happy(X)&~calm(X))))&
(![X]:((~old(X)|~tall(X))=>~cre... | brave(lucy) | [
"p0",
"p4",
"p5",
"p7",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1818830330653790130602734
% SZS output start Proof for 1818830330653790130602734
1. ? [X0] : ~tall(X0) => (~kind(lucy) & happy(lucy)) [input p0]
5. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | funny(X0)) => (~calm(X0) & ~happy(X0))) [input p5]
8... | 0 |
Everyone who is both not patient and not quiet is not happy and vice versa.
If fred is both calm and not happy then alice is either funny or not tall.
If someone is wise or calm then mary is both not kind and not happy and vice versa.
If john is either happy or brave then someone is not tall or generous and vice versa.... | Mary is quiet. | contradiction | (![X]:((~patient(X)&~quiet(X))<=>~happy(X)))&
(((calm(fred)&~happy(fred)))=>((funny(alice)<~>~tall(alice))))&
((?[X]:((wise(X)|calm(X))))<=>((~kind(mary)&~happy(mary))))&
(((happy(john)<~>brave(john)))<=>(?[X]:((~tall(X)|generous(X)))))&
((~humble(alice))<=>(?[X]:((~tall(X)<~>wise(X)))))&
((?[X]:((old(X)&~strong(X))))<... | quiet(mary) | [
"p0",
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4607116027552289759588587
% SZS output start Proof for 4607116027552289759588587
1. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> ~happy(X0)) [input p0]
3. ? [X0] : (calm(X0) | wise(X0)) <=> (~happy(mary) & ~kind(mary)) [input p2]
18. wise(lucy) & ~curious(lucy) [input p17]
25. quiet(mary) [i... | 0 |
If lucy is not old or calm then someone is either not tall or not humble and vice versa. Everyone who is both brave and strong is both not brave and not curious and vice versa. Everyone who is kind or not old is not happy and vice versa. Everyone who is humble or not generous is both not old and not generous. Everyone ... | Mary is not rich. | entailment | (((~old(lucy)|calm(lucy)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((brave(X)&strong(X))<=>(~brave(X)&~curious(X))))&
(![X]:((kind(X)|~old(X))<=>~happy(X)))&
(![X]:((humble(X)|~generous(X))=>(~old(X)&~generous(X))))&
(![X]:((calm(X)|tall(X))=>(~rich(X)|~kind(X))))&
(![X]:((rich(X)|happy(X))=>(~creative(X)&~happy(X))... | ~rich(mary) | [
"p4",
"p5",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3086416341549447388722502
% SZS output start Proof for 3086416341549447388722502
5. ! [X0] : ((tall(X0) | calm(X0)) => (~kind(X0) | ~rich(X0))) [input p4]
6. ! [X0] : ((happy(X0) | rich(X0)) => (~happy(X0) & ~creative(X0))) [input p5]
14. ! [X0] : (happy(X0) <=> (happy(X0) <~> ~kind(X0)))... | 0 |
If someone is both curious and not strong then susan is not brave and vice versa. If john is either tall or humble then someone is kind or humble and vice versa. Everyone who is both calm and not creative is either tall or not humble and vice versa. Everyone who is funny is brave. If lucy is both wise and not kind then... | Mary is not creative. | neutral | ((?[X]:((curious(X)&~strong(X))))<=>(~brave(susan)))&
(((tall(john)<~>humble(john)))<=>(?[X]:((kind(X)|humble(X)))))&
(![X]:((calm(X)&~creative(X))<=>(tall(X)<~>~humble(X))))&
(![X]:(funny(X)=>brave(X)))&
(((wise(lucy)&~kind(lucy)))=>(?[X]:((~calm(X)<~>calm(X)))))&
(![X]:((~happy(X)<~>~curious(X))<=>quiet(X)))&
(![X]:(... | ~creative(mary) | [] | null | 0 |
If someone is not happy then fred is tall.
Everyone who is not quiet or kind is creative and vice versa.
If john is both wise and humble then susan is both wise and not quiet.
Everyone who is not patient or funny is funny or tall.
Everyone who is both calm and not creative is either curious or not quiet.
Everyone who i... | Fred is kind. | neutral | ((?[X]:(~happy(X)))=>(tall(fred)))&
(![X]:((~quiet(X)|kind(X))<=>creative(X)))&
(((wise(john)&humble(john)))=>((wise(susan)&~quiet(susan))))&
(![X]:((~patient(X)|funny(X))=>(funny(X)|tall(X))))&
(![X]:((calm(X)&~creative(X))=>(curious(X)<~>~quiet(X))))&
(![X]:(happy(X)=>(~quiet(X)|tall(X))))&
((?[X]:((old(X)|calm(X))))... | kind(fred) | [] | null | 0 |
Everyone who is calm or not brave is funny or patient.
Everyone who is not strong or not patient is both strong and calm.
If fred is either tall or happy then someone is either not strong or not calm and vice versa.
Everyone who is humble or not wise is both not generous and funny.
If paul is not quiet or not kind then... | Susan is not humble. | entailment | (![X]:((calm(X)|~brave(X))=>(funny(X)|patient(X))))&
(![X]:((~strong(X)|~patient(X))=>(strong(X)&calm(X))))&
(((tall(fred)<~>happy(fred)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:((humble(X)|~wise(X))=>(~generous(X)&funny(X))))&
(((~quiet(paul)|~kind(paul)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)<~>~gener... | ~humble(susan) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8095840063642325562506996
% SZS output start Proof for 8095840063642325562506996
4. ! [X0] : ((~wise(X0) | humble(X0)) => (funny(X0) & ~generous(X0))) [input p3]
21. generous(susan) [input p20]
22. humble(susan) [input hypothesis]
27. ! [X0] : ((funny(X0) & ~generous(X0)) | (wise(X0) & ~h... | 0 |
Everyone who is either not funny or not humble is both rich and old.
Everyone who is not old is either not generous or brave and vice versa.
If someone is not quiet then someone is not old.
If lucy is not wise or not funny then lucy is humble.
Everyone who is not curious or kind is either not funny or not happy.
If som... | Paul is not patient. | neutral | (![X]:((~funny(X)<~>~humble(X))=>(rich(X)&old(X))))&
(![X]:(~old(X)<=>(~generous(X)<~>brave(X))))&
((?[X]:(~quiet(X)))=>(?[X]:(~old(X))))&
(((~wise(lucy)|~funny(lucy)))=>(humble(lucy)))&
(![X]:((~curious(X)|kind(X))=>(~funny(X)<~>~happy(X))))&
((?[X]:((~kind(X)|~brave(X))))<=>(?[X]:((~happy(X)|~quiet(X)))))&
((?[X]:((b... | ~patient(paul) | [] | null | 0 |
Everyone who is both funny and not old is not kind and vice versa.
If fred is both not quiet and old then someone is either generous or not happy.
Everyone who is funny is both creative and not humble.
Everyone who is both not curious and not kind is either not funny or not humble.
If fred is both not brave and creativ... | Paul is humble. | contradiction | (![X]:((funny(X)&~old(X))<=>~kind(X)))&
(((~quiet(fred)&old(fred)))=>(?[X]:((generous(X)<~>~happy(X)))))&
(![X]:(funny(X)=>(creative(X)&~humble(X))))&
(![X]:((~curious(X)&~kind(X))=>(~funny(X)<~>~humble(X))))&
(((~brave(fred)&creative(fred)))<=>(?[X]:((funny(X)<~>~humble(X)))))&
(![X]:((~curious(X)<~>brave(X))=>generou... | humble(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4155128085408425659264499
% SZS output start Proof for 4155128085408425659264499
10. ! [X0] : (~curious(X0) <=> (humble(X0) <~> ~curious(X0))) [input p9]
25. humble(paul) [input hypothesis]
61. ! [X0] : ((~curious(X0) | ((humble(X0) | curious(X0)) & (~curious(X0) | ~humble(X0)))) & (((cur... | 0 |
Everyone who is either brave or wise is rich and vice versa.
If someone is brave or creative then paul is not tall and vice versa.
If paul is either not kind or generous then mary is both not brave and not generous.
If someone is happy or not brave then fred is both funny and calm and vice versa.
Everyone who is either... | Lucy is not quiet. | neutral | (![X]:((brave(X)<~>wise(X))<=>rich(X)))&
((?[X]:((brave(X)|creative(X))))<=>(~tall(paul)))&
(((~kind(paul)<~>generous(paul)))=>((~brave(mary)&~generous(mary))))&
((?[X]:((happy(X)|~brave(X))))<=>((funny(fred)&calm(fred))))&
(![X]:((~creative(X)<~>~rich(X))=>(~patient(X)<~>strong(X))))&
(![X]:((strong(X)&~creative(X))<=... | ~quiet(lucy) | [] | null | 0 |
If someone is not happy or not funny then someone is both not kind and wise.
Everyone who is not curious is tall or strong and vice versa.
Everyone who is not funny or not generous is not strong and vice versa.
Everyone who is not quiet is either not humble or curious.
Everyone who is both humble and happy is either no... | Alice is not strong. | contradiction | ((?[X]:((~happy(X)|~funny(X))))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:(~curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
((curious(j... | ~strong(alice) | [
"p1",
"p3",
"p4",
"p9",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 886677304501728955123082
% SZS output start Proof for 886677304501728955123082
2. ! [X0] : (~curious(X0) <=> (strong(X0) | tall(X0))) [input p1]
4. ! [X0] : (~quiet(X0) => (~humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((happy(X0) & humble(X0)) <=> (~tall(X0) <~> funny(X0))) [input... | 0 |
Everyone who is both not wise and not generous is not generous and vice versa.
Everyone who is either curious or not old is not rich or not generous and vice versa.
Everyone who is either quiet or generous is both tall and old and vice versa.
If someone is not kind or not generous then fred is either kind or brave.
If ... | Mary is not tall. | neutral | (![X]:((~wise(X)&~generous(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~old(X))<=>(~rich(X)|~generous(X))))&
(![X]:((quiet(X)<~>generous(X))<=>(tall(X)&old(X))))&
((?[X]:((~kind(X)|~generous(X))))=>((kind(fred)<~>brave(fred))))&
((~funny(susan))<=>((old(mary)&~tall(mary))))&
(![X]:((~generous(X)&~tall(X))<=>(~kind(X)|qu... | ~tall(mary) | [] | null | 0 |
Everyone who is not kind is wise and vice versa.
If someone is quiet then someone is both not quiet and tall and vice versa.
If fred is not funny then someone is either not quiet or calm and vice versa.
If someone is both rich and not curious then someone is either not strong or creative and vice versa.
If alice is eit... | Susan is strong. | entailment | (![X]:(~kind(X)<=>wise(X)))&
((?[X]:(quiet(X)))<=>(?[X]:((~quiet(X)&tall(X)))))&
((~funny(fred))<=>(?[X]:((~quiet(X)<~>calm(X)))))&
((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(((~calm(alice)<~>~funny(alice)))=>(~humble(susan)))&
(![X]:((~wise(X)&~creative(X))=>(calm(X)|~kind(X))))&
(((funny... | strong(susan) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 494503997989938067790934
% SZS output start Proof for 494503997989938067790934
14. ! [X0] : ((strong(X0) & happy(X0)) <=> (quiet(X0) | brave(X0))) [input p13]
15. ! [X0] : ((brave(X0) & old(X0)) <=> ~brave(X0)) [input p14]
25. ~strong(susan) [input hypothesis]
70. ! [X0] : (((strong(X0) &... | 0 |
If john is not quiet then alice is both not kind and not generous and vice versa.
If someone is both kind and patient then someone is not funny or wise and vice versa.
Everyone who is not strong is both not old and patient and vice versa.
Everyone who is not strong is calm and vice versa.
If alice is both not brave and... | Fred is not patient. | entailment | ((~quiet(john))<=>((~kind(alice)&~generous(alice))))&
((?[X]:((kind(X)&patient(X))))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~strong(X)<=>(~old(X)&patient(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(((~brave(alice)&~tall(alice)))=>(?[X]:((creative(X)|brave(X)))))&
(![X]:((humble(X)<~>generous(X))=>old(X)))&
(((old(john)&~ca... | ~patient(fred) | [
"p3",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1270067983629987225382559
% SZS output start Proof for 1270067983629987225382559
4. ! [X0] : (~strong(X0) <=> calm(X0)) [input p3]
9. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (brave(X0) & calm(X0))) [input p8]
12. ! [X0] : ((patient(X0) | humble(X0)) => (rich(X0) <~> ~brave(X0))) [input ... | 0 |
Everyone who is happy or not curious is both generous and not creative. Everyone who is not old is either not kind or rich. If fred is either not strong or not generous then someone is brave and vice versa. Everyone who is either strong or not creative is either not brave or patient. Everyone who is either not curious ... | Fred is old. | entailment | (![X]:((happy(X)|~curious(X))=>(generous(X)&~creative(X))))&
(![X]:(~old(X)=>(~kind(X)<~>rich(X))))&
(((~strong(fred)<~>~generous(fred)))<=>(?[X]:(brave(X))))&
(![X]:((strong(X)<~>~creative(X))=>(~brave(X)<~>patient(X))))&
(![X]:((~curious(X)<~>strong(X))=>~generous(X)))&
(![X]:((strong(X)&~quiet(X))<=>(~kind(X)|genero... | old(fred) | [
"p4",
"p5",
"p6",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 669237493087563703909702
% SZS output start Proof for 669237493087563703909702
5. ! [X0] : ((~curious(X0) <~> strong(X0)) => ~generous(X0)) [input p4]
6. ! [X0] : ((~quiet(X0) & strong(X0)) <=> (generous(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((~generous(X0) | brave(X0)) <=> (patient(X0... | 0 |
Everyone who is brave is not patient or not happy and vice versa.
Everyone who is not rich or old is tall or not happy.
If fred is both not old and funny then someone is not kind or patient and vice versa.
If someone is kind or creative then someone is either not patient or patient and vice versa.
Everyone who is funny... | Paul is calm. | neutral | (![X]:(brave(X)<=>(~patient(X)|~happy(X))))&
(![X]:((~rich(X)|old(X))=>(tall(X)|~happy(X))))&
(((~old(fred)&funny(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
((?[X]:((kind(X)|creative(X))))<=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:((funny(X)|humble(X))=>~calm(X)))&
(![X]:((~quiet(X)<~>wise(X))<=>(~brave(X)|~calm(X)... | calm(paul) | [] | null | 0 |
If susan is either not kind or strong then paul is either not tall or quiet and vice versa.
Everyone who is not creative is both quiet and rich and vice versa.
Everyone who is not strong is either rich or strong and vice versa.
If someone is both brave and generous then mary is wise or rich.
Everyone who is either wise... | Alice is curious. | contradiction | (((~kind(susan)<~>strong(susan)))<=>((~tall(paul)<~>quiet(paul))))&
(![X]:(~creative(X)<=>(quiet(X)&rich(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>strong(X))))&
((?[X]:((brave(X)&generous(X))))=>((wise(mary)|rich(mary))))&
(![X]:((wise(X)<~>~old(X))<=>(strong(X)&~kind(X))))&
(((rich(mary)|~tall(mary)))=>(~quiet(alice)))&
(... | curious(alice) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6760612152694712908559136
% SZS output start Proof for 6760612152694712908559136
3. ! [X0] : (~strong(X0) <=> (rich(X0) <~> strong(X0))) [input p2]
12. (~strong(alice) | curious(alice)) => (~rich(fred) & ~humble(fred)) [input p11]
24. curious(alice) [input hypothesis]
33. (~rich(fred) & ~... | 0 |
If alice is wise or creative then lucy is both calm and not brave. Everyone who is not strong or not curious is either not tall or not brave. If susan is both happy and calm then paul is creative. If someone is patient or not curious then someone is not old or patient. Everyone who is both quiet and rich is not creativ... | Lucy is kind. | neutral | (((wise(alice)|creative(alice)))=>((calm(lucy)&~brave(lucy))))&
(![X]:((~strong(X)|~curious(X))=>(~tall(X)<~>~brave(X))))&
(((happy(susan)&calm(susan)))=>(creative(paul)))&
((?[X]:((patient(X)|~curious(X))))=>(?[X]:((~old(X)|patient(X)))))&
(![X]:((quiet(X)&rich(X))<=>~creative(X)))&
((brave(susan))=>((~kind(john)|wise... | kind(lucy) | [] | null | 0 |
Everyone who is both rich and creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is both... | Paul is quiet. | entailment | (![X]:((rich(X)&creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(strong... | quiet(paul) | [
"p5",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 253918338106528444213601
% SZS output start Proof for 253918338106528444213601
6. ! [X0] : (~strong(X0) => (~generous(X0) & quiet(X0))) [input p5]
7. ! [X0] : (strong(X0) => humble(X0)) [input p6]
19. ~happy(paul) & ~humble(paul) [input p18]
25. ~quiet(paul) [input hypothesis]
28. ! [X0] ... | 0 |
If lucy is both not rich and rich then lucy is either rich or humble.
If someone is humble or brave then someone is kind.
If someone is both generous and not creative then paul is either quiet or not brave.
If someone is both not rich and rich then mary is rich and vice versa.
If susan is wise or not old then someone i... | Susan is tall. | contradiction | (((~rich(lucy)&rich(lucy)))=>((rich(lucy)<~>humble(lucy))))&
((?[X]:((humble(X)|brave(X))))=>(?[X]:(kind(X))))&
((?[X]:((generous(X)&~creative(X))))=>((quiet(paul)<~>~brave(paul))))&
((?[X]:((~rich(X)&rich(X))))<=>(rich(mary)))&
(((wise(susan)|~old(susan)))<=>(?[X]:((creative(X)<~>~generous(X)))))&
(![X]:(~wise(X)<=>~h... | tall(susan) | [
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5383826150775252980522479
% SZS output start Proof for 5383826150775252980522479
6. ! [X0] : (~wise(X0) <=> ~humble(X0)) [input p5]
10. ? [X0] : (curious(X0) | tall(X0)) => (humble(paul) & ~quiet(paul)) [input p9]
15. ! [X0] : (~wise(X0) <=> (~patient(X0) | patient(X0))) [input p14]
24. t... | 0 |
Everyone who is not funny or calm is either not generous or not patient and vice versa. Everyone who is both not tall and humble is not tall and vice versa. Everyone who is strong is not kind. If paul is strong or old then someone is either not brave or old and vice versa. If fred is funny then someone is either not ge... | Susan is happy. | neutral | (![X]:((~funny(X)|calm(X))<=>(~generous(X)<~>~patient(X))))&
(![X]:((~tall(X)&humble(X))<=>~tall(X)))&
(![X]:(strong(X)=>~kind(X)))&
(((strong(paul)|old(paul)))<=>(?[X]:((~brave(X)<~>old(X)))))&
((funny(fred))<=>(?[X]:((~generous(X)<~>~wise(X)))))&
(![X]:((generous(X)&strong(X))<=>(rich(X)|humble(X))))&
(![X]:((patient... | happy(susan) | [] | null | 0 |
If someone is either not happy or not funny then fred is both not humble and not happy.
If susan is not generous then someone is both creative and kind.
Everyone who is both calm and not old is both funny and patient and vice versa.
Everyone who is wise is not rich or not generous.
Everyone who is both creative and not... | Alice is not strong. | entailment | ((?[X]:((~happy(X)<~>~funny(X))))=>((~humble(fred)&~happy(fred))))&
((~generous(susan))=>(?[X]:((creative(X)&kind(X)))))&
(![X]:((calm(X)&~old(X))<=>(funny(X)&patient(X))))&
(![X]:(wise(X)=>(~rich(X)|~generous(X))))&
(![X]:((creative(X)&~strong(X))<=>(happy(X)<~>brave(X))))&
(((~humble(alice)&~brave(alice)))<=>(?[X]:((... | ~strong(alice) | [
"p3",
"p6",
"p7",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 377898123406896307118603
% SZS output start Proof for 377898123406896307118603
4. ! [X0] : (wise(X0) => (~generous(X0) | ~rich(X0))) [input p3]
7. ! [X0] : ((~old(X0) | curious(X0)) => (old(X0) & ~generous(X0))) [input p6]
8. ! [X0] : ((curious(X0) | ~rich(X0)) => (generous(X0) & ~wise(X0... | 0 |
Everyone who is either strong or not old is strong and vice versa.
Everyone who is not quiet or generous is either kind or curious and vice versa.
If someone is curious then mary is both not humble and not wise.
Everyone who is either strong or not curious is both not humble and wise and vice versa.
Everyone who is bot... | Paul is not strong. | entailment | (![X]:((strong(X)<~>~old(X))<=>strong(X)))&
(![X]:((~quiet(X)|generous(X))<=>(kind(X)<~>curious(X))))&
((?[X]:(curious(X)))=>((~humble(mary)&~wise(mary))))&
(![X]:((strong(X)<~>~curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|happy(X))))&
(((~quiet(susan)<~>~funny(susan)))=>(?[X]:((kin... | ~strong(paul) | [
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 856924821296429183205184
% SZS output start Proof for 856924821296429183205184
3. ? [X0] : curious(X0) => (~wise(mary) & ~humble(mary)) [input p2]
5. ! [X0] : ((patient(X0) & curious(X0)) <=> (happy(X0) | strong(X0))) [input p4]
14. ! [X0] : (wise(X0) <=> (wise(X0) | ~humble(X0))) [input ... | 0 |
If lucy is both not patient and brave then someone is either strong or not kind.
Everyone who is both not brave and creative is either quiet or not quiet.
Everyone who is either not kind or not old is not happy.
Everyone who is creative is either not kind or tall.
If mary is kind then lucy is both curious and generous.... | Alice is wise. | entailment | (((~patient(lucy)&brave(lucy)))=>(?[X]:((strong(X)<~>~kind(X)))))&
(![X]:((~brave(X)&creative(X))=>(quiet(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>~old(X))=>~happy(X)))&
(![X]:(creative(X)=>(~kind(X)<~>tall(X))))&
((kind(mary))=>((curious(lucy)&generous(lucy))))&
(![X]:((curious(X)|brave(X))=>(~calm(X)|brave(X))))&
(![X]:... | wise(alice) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1516699871746794145105927
% SZS output start Proof for 1516699871746794145105927
10. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : (~wise(X0) & brave(X0)) [input p9]
20. brave(alice) [input p19]
24. ~wise(alice) [input hypothesis]
25. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X1] : (~wise(X1)... | 0 |
Everyone who is not brave is calm or old.
Everyone who is tall or not brave is both not quiet and not happy and vice versa.
Everyone who is either not curious or not wise is wise and vice versa.
Everyone who is either humble or calm is both patient and not creative.
If susan is not generous or funny then someone is not... | Mary is not calm. | entailment | (![X]:(~brave(X)=>(calm(X)|old(X))))&
(![X]:((tall(X)|~brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~curious(X)<~>~wise(X))<=>wise(X)))&
(![X]:((humble(X)<~>calm(X))=>(patient(X)&~creative(X))))&
(((~generous(susan)|funny(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((patient(X)|~happy(X))<=>(quiet(X)<~>~kind(X))))&
((?[X]:... | ~calm(mary) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 599690904827335781510507
% SZS output start Proof for 599690904827335781510507
2. ! [X0] : ((~brave(X0) | tall(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
6. ! [X0] : ((~happy(X0) | patient(X0)) <=> (quiet(X0) <~> ~kind(X0))) [input p5]
11. ! [X0] : ((brave(X0) <~> calm(X0)) <=> (~happ... | 0 |
Everyone who is both not creative and curious is curious.
If john is both not strong and not funny then someone is both not curious and not happy and vice versa.
If someone is not patient then someone is either not creative or creative.
If john is rich then someone is strong or not happy.
Everyone who is generous is no... | John is not humble. | neutral | (![X]:((~creative(X)&curious(X))=>curious(X)))&
(((~strong(john)&~funny(john)))<=>(?[X]:((~curious(X)&~happy(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~creative(X)<~>creative(X)))))&
((rich(john))=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(generous(X)<=>(~humble(X)|happy(X))))&
(![X]:((~generous(X)|~patient(X))=>(~curious(X... | ~humble(john) | [] | null | 0 |
Everyone who is either kind or funny is both not quiet and quiet. Everyone who is both not humble and tall is quiet or wise. If mary is creative or not kind then someone is kind or not happy and vice versa. If someone is kind then mary is both not brave and not generous. Everyone who is generous or tall is either wise ... | Lucy is curious. | neutral | (![X]:((kind(X)<~>funny(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~humble(X)&tall(X))=>(quiet(X)|wise(X))))&
(((creative(mary)|~kind(mary)))<=>(?[X]:((kind(X)|~happy(X)))))&
((?[X]:(kind(X)))=>((~brave(mary)&~generous(mary))))&
(![X]:((generous(X)|tall(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((quiet(X)&patient(X))=>(calm(X)<~>... | curious(lucy) | [] | null | 0 |
Everyone who is both curious and not old is patient or funny.
Everyone who is not humble is generous or wise.
If john is both brave and not tall then someone is patient or generous and vice versa.
Everyone who is both not wise and not funny is brave or not rich and vice versa.
If alice is either not curious or not rich... | Alice is not rich. | contradiction | (![X]:((curious(X)&~old(X))=>(patient(X)|funny(X))))&
(![X]:(~humble(X)=>(generous(X)|wise(X))))&
(((brave(john)&~tall(john)))<=>(?[X]:((patient(X)|generous(X)))))&
(![X]:((~wise(X)&~funny(X))<=>(brave(X)|~rich(X))))&
(((~curious(alice)<~>~rich(alice)))=>(funny(john)))&
(![X]:((creative(X)<~>wise(X))<=>(~curious(X)&~fu... | ~rich(alice) | [
"p3",
"p4",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1608270273370648085695077
% SZS output start Proof for 1608270273370648085695077
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (~rich(X0) | brave(X0))) [input p3]
5. (~curious(alice) <~> ~rich(alice)) => funny(john) [input p4]
8. ! [X0] : (~curious(X0) <=> (rich(X0) & ~strong(X0))) [input p7]... | 0 |
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