premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not tall is either not happy or not generous. If someone is not wise or not creative then john is not calm or kind. Everyone who is either not brave or not curious is not calm. If someone is not curious or not old then alice is both strong and rich and vice versa. Everyone who is wise or kind is not str... | Paul is not curious. | contradiction | (![X]:(~tall(X)=>(~happy(X)<~>~generous(X))))&
((?[X]:((~wise(X)|~creative(X))))=>((~calm(john)|kind(john))))&
(![X]:((~brave(X)<~>~curious(X))=>~calm(X)))&
((?[X]:((~curious(X)|~old(X))))<=>((strong(alice)&rich(alice))))&
(![X]:((wise(X)|kind(X))=>~strong(X)))&
(![X]:(~strong(X)=>(~patient(X)&~rich(X))))&
((?[X]:(~wis... | ~curious(paul) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7326320726825779053140019
% SZS output start Proof for 7326320726825779053140019
4. ? [X0] : (~old(X0) | ~curious(X0)) <=> (rich(alice) & strong(alice)) [input p3]
5. ! [X0] : ((kind(X0) | wise(X0)) => ~strong(X0)) [input p4]
10. ! [X0] : ((creative(X0) | ~kind(X0)) => (curious(X0) & wise... | 0 |
Everyone who is happy is both funny and generous and vice versa.
Everyone who is strong is not brave and vice versa.
Everyone who is both generous and not generous is not humble and vice versa.
If susan is happy or not curious then someone is brave or patient.
Everyone who is either rich or creative is curious or not c... | Susan is old. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(strong(X)<=>~brave(X)))&
(![X]:((generous(X)&~generous(X))<=>~humble(X)))&
(((happy(susan)|~curious(susan)))=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((rich(X)<~>creative(X))=>(curious(X)|~creative(X))))&
(![X]:((wise(X)&happy(X))<=>~calm(X)))&
(![X]:((brave(X)|quiet(X)... | old(susan) | [
"p5",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1151421407061788781447615
% SZS output start Proof for 1151421407061788781447615
6. ! [X0] : ((happy(X0) & wise(X0)) <=> ~calm(X0)) [input p5]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~brave(X0)) <=> (~funny(X0) & ~w... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If susan is generous then someone is both not rich and quiet.
Everyone who is either strong or generous is kind or calm and vice versa.
If someone is calm or not curious then someone is wise and vice versa.
Everyone who is both not humbl... | Lucy is not strong. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
((generous(susan))=>(?[X]:((~rich(X)&quiet(X)))))&
(![X]:((strong(X)<~>generous(X))<=>(kind(X)|calm(X))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~funny(X))=>(tall(X)&~funny(X))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((brave(X... | ~strong(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8043247636511284658889333
% SZS output start Proof for 8043247636511284658889333
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
3. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (calm(X0) | kind(X0))) [input p2]
5. ! [X0] : ((~funny(X0) & ~humble(X0)) => ... | 0 |
Everyone who is both creative and not brave is both not curious and not tall and vice versa.
If lucy is not patient or funny then someone is both not funny and funny.
Everyone who is not kind is both not generous and not calm and vice versa.
Everyone who is either not rich or quiet is wise or not strong.
Everyone who i... | Susan is funny. | contradiction | (![X]:((creative(X)&~brave(X))<=>(~curious(X)&~tall(X))))&
(((~patient(lucy)|funny(lucy)))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:(~kind(X)<=>(~generous(X)&~calm(X))))&
(![X]:((~rich(X)<~>quiet(X))=>(wise(X)|~strong(X))))&
(![X]:(wise(X)=>(tall(X)<~>wise(X))))&
(![X]:((~kind(X)<~>quiet(X))<=>(rich(X)|tall(X))))&
((?[X]... | funny(susan) | [
"p4",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5104174509014307517675241
% SZS output start Proof for 5104174509014307517675241
5. ! [X0] : (wise(X0) => (tall(X0) <~> wise(X0))) [input p4]
8. ! [X0] : ((tall(X0) | ~funny(X0)) <=> ~rich(X0)) [input p7]
13. ! [X0] : (~rich(X0) => (wise(X0) & ~kind(X0))) [input p12]
19. old(susan) & ~ric... | 0 |
If paul is both not curious and quiet then someone is not tall.
Everyone who is either old or not kind is either not humble or not funny and vice versa.
If paul is both not rich and not old then john is both not generous and generous and vice versa.
Everyone who is either creative or not rich is either not quiet or str... | Susan is old. | contradiction | (((~curious(paul)&quiet(paul)))=>(?[X]:(~tall(X))))&
(![X]:((old(X)<~>~kind(X))<=>(~humble(X)<~>~funny(X))))&
(((~rich(paul)&~old(paul)))<=>((~generous(john)&generous(john))))&
(![X]:((creative(X)<~>~rich(X))=>(~quiet(X)<~>strong(X))))&
(![X]:((happy(X)|~old(X))<=>~rich(X)))&
(![X]:((old(X)<~>~generous(X))=>~rich(X)))&... | old(susan) | [
"p3",
"p4",
"p9",
"p11",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 67336794848497873441781
% SZS output start Proof for 67336794848497873441781
4. ! [X0] : ((creative(X0) <~> ~rich(X0)) => (~quiet(X0) <~> strong(X0))) [input p3]
5. ! [X0] : ((~old(X0) | happy(X0)) <=> ~rich(X0)) [input p4]
10. ! [X0] : (strong(X0) <=> creative(X0)) [input p9]
12. ! [X0] ... | 0 |
Everyone who is not tall or funny is both not strong and not generous.
If alice is not rich then john is either not wise or strong and vice versa.
Everyone who is strong is either old or not generous.
If alice is either creative or strong then paul is generous and vice versa.
Everyone who is both not calm and creative ... | Mary is not brave. | entailment | (![X]:((~tall(X)|funny(X))=>(~strong(X)&~generous(X))))&
((~rich(alice))<=>((~wise(john)<~>strong(john))))&
(![X]:(strong(X)=>(old(X)<~>~generous(X))))&
(((creative(alice)<~>strong(alice)))<=>(generous(paul)))&
(![X]:((~calm(X)&creative(X))<=>(~brave(X)&calm(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(~kind(X)<~>~str... | ~brave(mary) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5127254914124012398828548
% SZS output start Proof for 5127254914124012398828548
7. ? [X0] : (brave(X0) | funny(X0)) <=> ? [X0] : ~tall(X0) [input p6]
11. ! [X0] : (~tall(X0) => (~brave(X0) & tall(X0))) [input p10]
22. brave(mary) [input hypothesis]
23. ? [X0] : (brave(X0) | funny(X0)) <=... | 0 |
Everyone who is creative or tall is not calm.
Everyone who is both not quiet and not calm is both calm and not old.
Everyone who is either funny or generous is old and vice versa.
Everyone who is both not funny and calm is either not strong or humble.
If alice is patient then someone is either creative or brave and vic... | Mary is tall. | neutral | (![X]:((creative(X)|tall(X))=>~calm(X)))&
(![X]:((~quiet(X)&~calm(X))=>(calm(X)&~old(X))))&
(![X]:((funny(X)<~>generous(X))<=>old(X)))&
(![X]:((~funny(X)&calm(X))=>(~strong(X)<~>humble(X))))&
((patient(alice))<=>(?[X]:((creative(X)<~>brave(X)))))&
(![X]:((curious(X)&humble(X))<=>(~happy(X)&~kind(X))))&
(![X]:((~wise(X)... | tall(mary) | [] | null | 0 |
If paul is not wise then someone is either tall or funny.
If susan is not quiet then fred is either not brave or not calm.
Everyone who is calm or rich is humble and vice versa.
Everyone who is not brave or calm is both not happy and funny.
Everyone who is both not generous and funny is happy or brave and vice versa.
I... | Alice is humble. | entailment | ((~wise(paul))=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(fred))))&
(![X]:((calm(X)|rich(X))<=>humble(X)))&
(![X]:((~brave(X)|calm(X))=>(~happy(X)&funny(X))))&
(![X]:((~generous(X)&funny(X))<=>(happy(X)|brave(X))))&
(((~creative(fred)|quiet(fred)))<=>(?[X]:(patient(X))))&
(![X]:(generous(... | humble(alice) | [
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8241761714061394517866984
% SZS output start Proof for 8241761714061394517866984
4. ! [X0] : ((calm(X0) | ~brave(X0)) => (funny(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (brave(X0) | happy(X0))) [input p4]
8. ! [X0] : (happy(X0) => (~brave(X0) | ~funny(X0)... | 0 |
If someone is either not creative or not curious then fred is both happy and not happy and vice versa. Everyone who is kind or calm is both not funny and tall. Everyone who is both not brave and old is either not rich or brave and vice versa. If john is either humble or not kind then fred is both tall and curious and v... | John is not humble. | contradiction | ((?[X]:((~creative(X)<~>~curious(X))))<=>((happy(fred)&~happy(fred))))&
(![X]:((kind(X)|calm(X))=>(~funny(X)&tall(X))))&
(![X]:((~brave(X)&old(X))<=>(~rich(X)<~>brave(X))))&
(((humble(john)<~>~kind(john)))<=>((tall(fred)&curious(fred))))&
(![X]:((tall(X)<~>~kind(X))<=>(tall(X)|~calm(X))))&
((?[X]:((creative(X)&~old(X))... | ~humble(john) | [
"p1",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3102849198532796282243339
% SZS output start Proof for 3102849198532796282243339
2. ! [X0] : ((calm(X0) | kind(X0)) => (tall(X0) & ~funny(X0))) [input p1]
4. (humble(john) <~> ~kind(john)) <=> (curious(fred) & tall(fred)) [input p3]
8. ! [X0] : (patient(X0) <=> (old(X0) & ~patient(X0))) [... | 0 |
Everyone who is both not happy and calm is both not kind and humble and vice versa.
Everyone who is both not tall and curious is either wise or old and vice versa.
Everyone who is rich or creative is kind.
Everyone who is both not funny and humble is either creative or not strong.
Everyone who is either not creative or... | Alice is not strong. | contradiction | (![X]:((~happy(X)&calm(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)&curious(X))<=>(wise(X)<~>old(X))))&
(![X]:((rich(X)|creative(X))=>kind(X)))&
(![X]:((~funny(X)&humble(X))=>(creative(X)<~>~strong(X))))&
(![X]:((~creative(X)<~>tall(X))=>(~rich(X)|~curious(X))))&
((?[X]:((~kind(X)<~>~humble(X))))=>((old(mary)|~kind(m... | ~strong(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4424992906365779239599229
% SZS output start Proof for 4424992906365779239599229
14. ! [X0] : ((~wise(X0) <~> strong(X0)) <=> wise(X0)) [input p13]
24. ~strong(alice) [input hypothesis]
52. ! [X0] : ((((~strong(X0) | wise(X0)) & (strong(X0) | ~wise(X0))) | ~wise(X0)) & (wise(X0) | ((~wise... | 0 |
Everyone who is both not curious and curious is either patient or not calm and vice versa. If paul is both not wise and not brave then someone is kind or not creative and vice versa. Everyone who is both calm and patient is not calm or funny. If someone is both old and not curious then someone is either not funny or no... | Alice is not quiet. | entailment | (![X]:((~curious(X)&curious(X))<=>(patient(X)<~>~calm(X))))&
(((~wise(paul)&~brave(paul)))<=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((calm(X)&patient(X))=>(~calm(X)|funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>((tall(alice)&generous(alice))))&
(![X]:((... | ~quiet(alice) | [
"p1",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8174245308129948099865042
% SZS output start Proof for 8174245308129948099865042
2. (~brave(paul) & ~wise(paul)) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p1]
5. ? [X0] : (~wise(X0) | ~happy(X0)) => (generous(alice) & tall(alice)) [input p4]
6. ! [X0] : ((quiet(X0) | ~wise(X0)) <=> (... | 0 |
Everyone who is both not quiet and rich is calm or not patient.
Everyone who is either not quiet or brave is either patient or not kind and vice versa.
If someone is either not curious or not humble then someone is both not wise and tall and vice versa.
If john is either not rich or generous then fred is curious.
Every... | John is not rich. | neutral | (![X]:((~quiet(X)&rich(X))=>(calm(X)|~patient(X))))&
(![X]:((~quiet(X)<~>brave(X))<=>(patient(X)<~>~kind(X))))&
((?[X]:((~curious(X)<~>~humble(X))))<=>(?[X]:((~wise(X)&tall(X)))))&
(((~rich(john)<~>generous(john)))=>(curious(fred)))&
(![X]:((tall(X)<~>old(X))<=>~generous(X)))&
(![X]:((~rich(X)&quiet(X))<=>(~happy(X)<~>... | ~rich(john) | [] | null | 0 |
If someone is tall then john is rich or not strong and vice versa.
Everyone who is either not happy or patient is wise.
Everyone who is not humble is either not kind or not creative and vice versa.
If someone is both calm and kind then alice is tall or old and vice versa.
If someone is wise or not brave then someone is... | Lucy is humble. | entailment | ((?[X]:(tall(X)))<=>((rich(john)|~strong(john))))&
(![X]:((~happy(X)<~>patient(X))=>wise(X)))&
(![X]:(~humble(X)<=>(~kind(X)<~>~creative(X))))&
((?[X]:((calm(X)&kind(X))))<=>((tall(alice)|old(alice))))&
((?[X]:((wise(X)|~brave(X))))=>(?[X]:((brave(X)&old(X)))))&
(![X]:((kind(X)|~calm(X))=>quiet(X)))&
(![X]:(rich(X)=>(h... | humble(lucy) | [
"p2",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 612810720171827288935775
% SZS output start Proof for 612810720171827288935775
3. ! [X0] : (~humble(X0) <=> (~kind(X0) <~> ~creative(X0))) [input p2]
7. ! [X0] : (rich(X0) => (humble(X0) & happy(X0))) [input p6]
10. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~patient(X0) | ~quiet(X0))) [input... | 0 |
Everyone who is both not quiet and old is both not humble and kind.
Everyone who is both not old and not curious is not old or generous and vice versa.
Everyone who is not strong or not patient is both not brave and not strong.
Everyone who is tall or not kind is not quiet or not brave and vice versa.
If lucy is both s... | Fred is funny. | neutral | (![X]:((~quiet(X)&old(X))=>(~humble(X)&kind(X))))&
(![X]:((~old(X)&~curious(X))<=>(~old(X)|generous(X))))&
(![X]:((~strong(X)|~patient(X))=>(~brave(X)&~strong(X))))&
(![X]:((tall(X)|~kind(X))<=>(~quiet(X)|~brave(X))))&
(((strong(lucy)&~kind(lucy)))<=>((kind(john)&~tall(john))))&
(((curious(fred)&creative(fred)))=>((wis... | funny(fred) | [] | null | 0 |
Everyone who is both funny and not wise is either not old or not humble. If fred is both calm and not kind then susan is not tall. Everyone who is not generous is brave and vice versa. Everyone who is both patient and creative is not curious. If someone is both not happy and funny then someone is both not wise and rich... | Paul is brave. | neutral | (![X]:((funny(X)&~wise(X))=>(~old(X)<~>~humble(X))))&
(((calm(fred)&~kind(fred)))=>(~tall(susan)))&
(![X]:(~generous(X)<=>brave(X)))&
(![X]:((patient(X)&creative(X))=>~curious(X)))&
((?[X]:((~happy(X)&funny(X))))<=>(?[X]:((~wise(X)&rich(X)))))&
((?[X]:(funny(X)))=>(wise(mary)))&
(((brave(paul)|~strong(paul)))=>(?[X]:((... | brave(paul) | [] | null | 0 |
Everyone who is not rich or not brave is not patient and vice versa. Everyone who is not strong is not wise or not brave. If someone is either rich or happy then someone is either brave or not patient and vice versa. If someone is not happy then someone is both generous and not brave and vice versa. If someone is eithe... | John is creative. | contradiction | (![X]:((~rich(X)|~brave(X))<=>~patient(X)))&
(![X]:(~strong(X)=>(~wise(X)|~brave(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(pa... | creative(john) | [
"p8",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5223333887107545948504469
% SZS output start Proof for 5223333887107545948504469
9. ! [X0] : (calm(X0) => (~funny(X0) & ~calm(X0))) [input p8]
11. ! [X0] : ((patient(X0) | curious(X0)) <=> (~wise(X0) & calm(X0))) [input p10]
16. ! [X0] : (humble(X0) => ~creative(X0)) [input p15]
17. humbl... | 0 |
Everyone who is humble is not generous or not curious and vice versa.
Everyone who is kind or calm is both happy and wise and vice versa.
If someone is both not patient and funny then someone is both not generous and rich.
If someone is not tall or brave then susan is both not old and funny and vice versa.
If lucy is e... | Susan is humble. | contradiction | (![X]:(humble(X)<=>(~generous(X)|~curious(X))))&
(![X]:((kind(X)|calm(X))<=>(happy(X)&wise(X))))&
((?[X]:((~patient(X)&funny(X))))=>(?[X]:((~generous(X)&rich(X)))))&
((?[X]:((~tall(X)|brave(X))))<=>((~old(susan)&funny(susan))))&
(((~creative(lucy)<~>calm(lucy)))=>((~creative(susan)|~generous(susan))))&
(![X]:(wise(X)<=... | humble(susan) | [
"p3",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6232736587774357731463841
% SZS output start Proof for 6232736587774357731463841
4. ? [X0] : (brave(X0) | ~tall(X0)) <=> (funny(susan) & ~old(susan)) [input p3]
16. ! [X0] : ((humble(X0) | calm(X0)) <=> ~funny(X0)) [input p15]
18. ? [X0] : (brave(X0) & creative(X0)) [input p17]
25. humble... | 0 |
Everyone who is either generous or not strong is either not kind or kind and vice versa.
If someone is either happy or not patient then someone is tall or funny.
Everyone who is not wise or not curious is generous and vice versa.
Everyone who is both not humble and not creative is both tall and not brave and vice versa... | Mary is humble. | contradiction | (![X]:((generous(X)<~>~strong(X))<=>(~kind(X)<~>kind(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~wise(X)|~curious(X))<=>generous(X)))&
(![X]:((~humble(X)&~creative(X))<=>(tall(X)&~brave(X))))&
((~rich(lucy))=>((~funny(mary)<~>~generous(mary))))&
((?[X]:(happy(X)))=>(?[X]:((brave(X)... | humble(mary) | [
"p0",
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6034981377604525182954146
% SZS output start Proof for 6034981377604525182954146
1. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (~kind(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((~curious(X0) | ~wise(X0)) <=> generous(X0)) [input p2]
12. ! [X0] : ((~curious(X0) | wise(X0)) => (strong(X0)... | 0 |
If someone is curious or not kind then someone is calm or not calm and vice versa. If paul is both curious and not curious then someone is kind. If lucy is brave or generous then someone is not rich or kind and vice versa. Everyone who is not old is happy or not curious. Everyone who is not old is not kind and vice ver... | Fred is brave. | entailment | ((?[X]:((curious(X)|~kind(X))))<=>(?[X]:((calm(X)|~calm(X)))))&
(((curious(paul)&~curious(paul)))=>(?[X]:(kind(X))))&
(((brave(lucy)|generous(lucy)))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:(~old(X)=>(happy(X)|~curious(X))))&
(![X]:(~old(X)<=>~kind(X)))&
(![X]:((~strong(X)|~happy(X))<=>(~quiet(X)<~>wise(X))))&
(((strong(... | brave(fred) | [
"p10",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8611717800054853993637690
% SZS output start Proof for 8611717800054853993637690
11. ! [X0] : (~brave(X0) => (quiet(X0) <~> ~curious(X0))) [input p10]
16. ! [X0] : ((tall(X0) | calm(X0)) <=> (~patient(X0) & curious(X0))) [input p15]
18. calm(fred) & happy(fred) [input p17]
22. ~quiet(fred... | 0 |
If someone is creative or brave then fred is not funny and vice versa. Everyone who is both not wise and funny is creative. If susan is creative then someone is not funny or not rich. Everyone who is either quiet or not old is not tall or patient and vice versa. Everyone who is either not wise or funny is either wise o... | Fred is not old. | entailment | ((?[X]:((creative(X)|brave(X))))<=>(~funny(fred)))&
(![X]:((~wise(X)&funny(X))=>creative(X)))&
((creative(susan))=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((quiet(X)<~>~old(X))<=>(~tall(X)|patient(X))))&
(![X]:((~wise(X)<~>funny(X))=>(wise(X)<~>~wise(X))))&
(((kind(alice)&happy(alice)))=>(happy(alice)))&
(![X]:((kind(X)|... | ~old(fred) | [
"p0",
"p1",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8863997426470837057304982
% SZS output start Proof for 8863997426470837057304982
1. ? [X0] : (brave(X0) | creative(X0)) <=> ~funny(fred) [input p0]
2. ! [X0] : ((funny(X0) & ~wise(X0)) => creative(X0)) [input p1]
7. ! [X0] : ((~happy(X0) | kind(X0)) => (quiet(X0) & happy(X0))) [input p6]
... | 0 |
Everyone who is both brave and not quiet is both calm and wise and vice versa.
If paul is humble or not wise then someone is both tall and not funny and vice versa.
Everyone who is patient or not strong is patient and vice versa.
If fred is both strong and creative then alice is both not humble and tall and vice versa.... | Paul is not patient. | neutral | (![X]:((brave(X)&~quiet(X))<=>(calm(X)&wise(X))))&
(((humble(paul)|~wise(paul)))<=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:((patient(X)|~strong(X))<=>patient(X)))&
(((strong(fred)&creative(fred)))<=>((~humble(alice)&tall(alice))))&
((?[X]:((~humble(X)<~>rich(X))))<=>(?[X]:((patient(X)&happy(X)))))&
(![X]:((~quiet(X)<~>pat... | ~patient(paul) | [] | null | 0 |
If alice is either kind or not creative then someone is old and vice versa.
Everyone who is both not brave and patient is either patient or creative and vice versa.
Everyone who is both not patient and not rich is both curious and not humble.
If someone is both kind and not brave then someone is both funny and not wise... | Alice is patient. | contradiction | (((kind(alice)<~>~creative(alice)))<=>(?[X]:(old(X))))&
(![X]:((~brave(X)&patient(X))<=>(patient(X)<~>creative(X))))&
(![X]:((~patient(X)&~rich(X))=>(curious(X)&~humble(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(?[X]:((funny(X)&~wise(X)))))&
((?[X]:((quiet(X)<~>calm(X))))<=>(?[X]:((strong(X)&old(X)))))&
(![X]:((~brave(X)<... | patient(alice) | [
"p5",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1986668772625341226211740
% SZS output start Proof for 1986668772625341226211740
6. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> (~curious(X0) | kind(X0))) [input p5]
9. ! [X0] : ((patient(X0) | ~curious(X0)) <=> (quiet(X0) & ~curious(X0))) [input p8]
19. brave(alice) & ~happy(alice) [inpu... | 0 |
Everyone who is strong is not generous or not rich.
Everyone who is not kind or humble is kind and vice versa.
If susan is happy or old then someone is not tall and vice versa.
Everyone who is not happy is both not creative and wise and vice versa.
If fred is either not funny or not calm then mary is not brave and vice... | Alice is curious. | contradiction | (![X]:(strong(X)=>(~generous(X)|~rich(X))))&
(![X]:((~kind(X)|humble(X))<=>kind(X)))&
(((happy(susan)|old(susan)))<=>(?[X]:(~tall(X))))&
(![X]:(~happy(X)<=>(~creative(X)&wise(X))))&
(((~funny(fred)<~>~calm(fred)))<=>(~brave(mary)))&
(![X]:((tall(X)|~funny(X))<=>~curious(X)))&
((?[X]:(~humble(X)))=>(?[X]:(~calm(X))))&
(... | curious(alice) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9075702963120398659273262
% SZS output start Proof for 9075702963120398659273262
2. ! [X0] : ((humble(X0) | ~kind(X0)) <=> kind(X0)) [input p1]
6. ! [X0] : ((~funny(X0) | tall(X0)) <=> ~curious(X0)) [input p5]
13. ? [X0] : funny(X0) => ? [X0] : ~kind(X0) [input p12]
23. curious(alice) [in... | 0 |
Everyone who is tall is not tall.
Everyone who is both not humble and happy is not funny and vice versa.
If someone is either happy or generous then alice is either brave or rich and vice versa.
If susan is either not tall or strong then someone is both not creative and humble and vice versa.
Everyone who is either tal... | Alice is quiet. | neutral | (![X]:(tall(X)=>~tall(X)))&
(![X]:((~humble(X)&happy(X))<=>~funny(X)))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(alice)<~>rich(alice))))&
(((~tall(susan)<~>strong(susan)))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)<~>~humble(X))))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:(kind(X... | quiet(alice) | [] | null | 0 |
If someone is quiet then paul is not humble. Everyone who is both funny and not brave is both not old and creative and vice versa. Everyone who is both happy and tall is patient. If someone is both curious and generous then lucy is generous. If someone is old or not curious then john is old or not generous. Everyone wh... | Paul is brave. | contradiction | ((?[X]:(quiet(X)))=>(~humble(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&tall(X))=>patient(X)))&
((?[X]:((curious(X)&generous(X))))=>(generous(lucy)))&
((?[X]:((old(X)|~curious(X))))=>((old(john)|~generous(john))))&
(![X]:(rich(X)<=>(happy(X)|funny(X))))&
(((~curious(alice)&~brave(a... | brave(paul) | [
"p0",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6368687252951388771776483
% SZS output start Proof for 6368687252951388771776483
1. ? [X0] : quiet(X0) => ~humble(paul) [input p0]
10. ! [X0] : (~humble(X0) => (~brave(X0) & funny(X0))) [input p9]
20. ? [X0] : quiet(X0) [input p19]
25. brave(paul) [input hypothesis]
27. ~humble(paul) | ! ... | 0 |
Everyone who is both not funny and not patient is either patient or not quiet.
If alice is brave then someone is not brave.
Everyone who is not funny is either not kind or old.
If mary is both not rich and not calm then someone is either not rich or calm and vice versa.
If someone is quiet then paul is not tall or not ... | Alice is not creative. | contradiction | (![X]:((~funny(X)&~patient(X))=>(patient(X)<~>~quiet(X))))&
((brave(alice))=>(?[X]:(~brave(X))))&
(![X]:(~funny(X)=>(~kind(X)<~>old(X))))&
(((~rich(mary)&~calm(mary)))<=>(?[X]:((~rich(X)<~>calm(X)))))&
((?[X]:(quiet(X)))<=>((~tall(paul)|~old(paul))))&
(![X]:((~calm(X)|~kind(X))<=>(creative(X)|patient(X))))&
(![X]:(calm... | ~creative(alice) | [
"p5",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8734003997668835757382651
% SZS output start Proof for 8734003997668835757382651
6. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (patient(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~old(X0) | ~happy(X0)) => (~happy(X0) & ~kind(X0))) [input p7]
12. ! [X0] : (creative(X0) <=> (happy(X0) | ~brav... | 0 |
Everyone who is either not rich or calm is funny or not funny and vice versa. If mary is either happy or not happy then paul is strong or not funny and vice versa. Everyone who is humble is both curious and not calm and vice versa. Everyone who is either not tall or wise is not creative or patient. Everyone who is both... | Mary is rich. | entailment | (![X]:((~rich(X)<~>calm(X))<=>(funny(X)|~funny(X))))&
(((happy(mary)<~>~happy(mary)))<=>((strong(paul)|~funny(paul))))&
(![X]:(humble(X)<=>(curious(X)&~calm(X))))&
(![X]:((~tall(X)<~>wise(X))=>(~creative(X)|patient(X))))&
(![X]:((~rich(X)&tall(X))=>(happy(X)&rich(X))))&
((?[X]:((kind(X)|funny(X))))<=>(?[X]:((~humble(X)... | rich(mary) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1713622989041170034445718
% SZS output start Proof for 1713622989041170034445718
5. ! [X0] : ((tall(X0) & ~rich(X0)) => (rich(X0) & happy(X0))) [input p4]
15. ! [X0] : (tall(X0) <=> (~rich(X0) | ~old(X0))) [input p14]
23. ~rich(mary) [input hypothesis]
27. ! [X0] : ((rich(X0) & happy(X0))... | 0 |
Everyone who is rich or patient is both not tall and strong.
If someone is not wise or calm then fred is not humble.
If someone is not generous or not tall then mary is creative and vice versa.
Everyone who is not wise is either kind or funny and vice versa.
If someone is wise then someone is generous or not wise and v... | Fred is generous. | entailment | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~humble(fred)))&
((?[X]:((~generous(X)|~tall(X))))<=>(creative(mary)))&
(![X]:(~wise(X)<=>(kind(X)<~>funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((kind(X)&happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>(~funn... | generous(fred) | [
"p3",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3574919045682144086778865
% SZS output start Proof for 3574919045682144086778865
4. ! [X0] : (~wise(X0) <=> (kind(X0) <~> funny(X0))) [input p3]
6. ! [X0] : ((happy(X0) & kind(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> (~funny(X0) <~> wise(X0))) [input p6]
11. ! [X0] : ... | 0 |
If someone is either quiet or not old then someone is not happy.
Everyone who is not brave or calm is brave or not funny and vice versa.
Everyone who is not creative is rich or patient.
If someone is both generous and not brave then someone is both creative and quiet.
If fred is not strong or not funny then paul is old... | Paul is rich. | entailment | ((?[X]:((quiet(X)<~>~old(X))))=>(?[X]:(~happy(X))))&
(![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(... | rich(paul) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8095554631210795980762171
% SZS output start Proof for 8095554631210795980762171
7. ! [X0] : (rich(X0) <=> strong(X0)) [input p6]
14. ! [X0] : (strong(X0) <=> (~rich(X0) | humble(X0))) [input p13]
24. ~rich(paul) [input hypothesis]
51. ! [X0] : ((rich(X0) | ~strong(X0)) & (strong(X0) | ~r... | 0 |
If someone is not strong then someone is not old and vice versa. If john is both not rich and not quiet then fred is rich or not quiet and vice versa. Everyone who is quiet is wise and vice versa. Everyone who is quiet is either not tall or curious and vice versa. If alice is either curious or kind then someone is both... | Mary is not curious. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:(~old(X))))&
(((~rich(john)&~quiet(john)))<=>((rich(fred)|~quiet(fred))))&
(![X]:(quiet(X)<=>wise(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>curious(X))))&
(((curious(alice)<~>kind(alice)))=>(?[X]:((~funny(X)&~quiet(X)))))&
(((wise(mary)&patient(mary)))<=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~w... | ~curious(mary) | [
"p2",
"p3",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6799347893277397908936202
% SZS output start Proof for 6799347893277397908936202
3. ! [X0] : (quiet(X0) <=> wise(X0)) [input p2]
4. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> curious(X0))) [input p3]
6. (patient(mary) & wise(mary)) <=> ? [X0] : (~calm(X0) | ~brave(X0)) [input p5]
9. ! [X0] : ... | 0 |
Everyone who is both strong and kind is not rich. Everyone who is not quiet or quiet is strong or humble. Everyone who is both tall and creative is either not funny or not quiet. Everyone who is not happy or not quiet is calm. If someone is tall then someone is both curious and calm. Everyone who is both wise and patie... | Fred is creative. | neutral | (![X]:((strong(X)&kind(X))=>~rich(X)))&
(![X]:((~quiet(X)|quiet(X))=>(strong(X)|humble(X))))&
(![X]:((tall(X)&creative(X))=>(~funny(X)<~>~quiet(X))))&
(![X]:((~happy(X)|~quiet(X))=>calm(X)))&
((?[X]:(tall(X)))=>(?[X]:((curious(X)&calm(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X... | creative(fred) | [] | null | 0 |
If someone is both not old and not calm then someone is not generous and vice versa. Everyone who is not funny or curious is not humble or humble and vice versa. Everyone who is patient is both not rich and funny. Everyone who is quiet is not wise. Everyone who is brave or rich is not humble and vice versa. If someone ... | Paul is rich. | contradiction | ((?[X]:((~old(X)&~calm(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)|curious(X))<=>(~humble(X)|humble(X))))&
(![X]:(patient(X)=>(~rich(X)&funny(X))))&
(![X]:(quiet(X)=>~wise(X)))&
(![X]:((brave(X)|rich(X))<=>~humble(X)))&
((?[X]:((rich(X)|~calm(X))))=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((tall(X)&~rich(X))<... | rich(paul) | [
"p4",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 651054236574173154571466
% SZS output start Proof for 651054236574173154571466
5. ! [X0] : ((rich(X0) | brave(X0)) <=> ~humble(X0)) [input p4]
7. ! [X0] : ((~rich(X0) & tall(X0)) <=> (~funny(X0) | ~creative(X0))) [input p6]
8. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~kind(X0) & rich(X... | 0 |
Everyone who is either not generous or not old is either not old or not humble. Everyone who is curious is either strong or not strong and vice versa. If lucy is both brave and not calm then alice is either happy or not old. Everyone who is either creative or not wise is humble and vice versa. Everyone who is both pati... | John is rich. | neutral | (![X]:((~generous(X)<~>~old(X))=>(~old(X)<~>~humble(X))))&
(![X]:(curious(X)<=>(strong(X)<~>~strong(X))))&
(((brave(lucy)&~calm(lucy)))=>((happy(alice)<~>~old(alice))))&
(![X]:((creative(X)<~>~wise(X))<=>humble(X)))&
(![X]:((patient(X)&~humble(X))=>(~strong(X)<~>~tall(X))))&
(![X]:((~old(X)<~>~quiet(X))<=>(~brave(X)|~o... | rich(john) | [] | null | 0 |
If someone is not tall or not funny then susan is generous or quiet and vice versa.
Everyone who is either happy or not patient is funny and vice versa.
If someone is not calm then susan is calm and vice versa.
If alice is either not creative or not brave then someone is either not old or not brave and vice versa.
Ever... | Lucy is not curious. | entailment | ((?[X]:((~tall(X)|~funny(X))))<=>((generous(susan)|quiet(susan))))&
(![X]:((happy(X)<~>~patient(X))<=>funny(X)))&
((?[X]:(~calm(X)))<=>(calm(susan)))&
(((~creative(alice)<~>~brave(alice)))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((calm(X)|brave(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((rich(X)&funny(X))<=>(quiet(X)&~hu... | ~curious(lucy) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8239936452791688479577847
% SZS output start Proof for 8239936452791688479577847
3. ? [X0] : ~calm(X0) <=> calm(susan) [input p2]
14. ? [X0] : (calm(X0) | ~quiet(X0)) => ~curious(lucy) [input p13]
25. curious(lucy) [input hypothesis]
28. ~curious(lucy) | ! [X0] : (~calm(X0) & quiet(X0)) [... | 0 |
Everyone who is either humble or not patient is not brave or not calm.
If mary is wise then someone is both not rich and not happy.
Everyone who is calm or not kind is not curious or creative and vice versa.
If someone is both not rich and funny then lucy is both happy and not curious.
If someone is both not funny and ... | John is not happy. | entailment | (![X]:((humble(X)<~>~patient(X))=>(~brave(X)|~calm(X))))&
((wise(mary))=>(?[X]:((~rich(X)&~happy(X)))))&
(![X]:((calm(X)|~kind(X))<=>(~curious(X)|creative(X))))&
((?[X]:((~rich(X)&funny(X))))=>((happy(lucy)&~curious(lucy))))&
((?[X]:((~funny(X)&~wise(X))))=>(?[X]:((tall(X)&humble(X)))))&
((brave(fred))=>((creative(susa... | ~happy(john) | [
"p2",
"p7",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2368059302001252551749826
% SZS output start Proof for 2368059302001252551749826
3. ! [X0] : ((~kind(X0) | calm(X0)) <=> (creative(X0) | ~curious(X0))) [input p2]
8. ! [X0] : ((curious(X0) <~> ~brave(X0)) <=> (~happy(X0) | brave(X0))) [input p7]
9. ! [X0] : ((curious(X0) | rich(X0)) <=> (... | 0 |
Everyone who is not wise is either wise or quiet and vice versa. If someone is both old and generous then lucy is either not calm or not strong. If someone is both funny and kind then someone is happy or calm. If someone is both happy and curious then someone is either not wise or not generous and vice versa. Everyone ... | Fred is not rich. | contradiction | (![X]:(~wise(X)<=>(wise(X)<~>quiet(X))))&
((?[X]:((old(X)&generous(X))))=>((~calm(lucy)<~>~strong(lucy))))&
((?[X]:((funny(X)&kind(X))))=>(?[X]:((happy(X)|calm(X)))))&
((?[X]:((happy(X)&curious(X))))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
(![X]:((~patient(X)&happy(X))<=>(~quiet(X)<~>~creative(X))))&
(((~quiet(john)<~>b... | ~rich(fred) | [
"p0",
"p6",
"p8",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1387286668564287927766899
% SZS output start Proof for 1387286668564287927766899
1. ! [X0] : (~wise(X0) <=> (wise(X0) <~> quiet(X0))) [input p0]
7. ! [X0] : ((strong(X0) | ~tall(X0)) => ~quiet(X0)) [input p6]
9. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~old(X0) & ~happy(X0))) [input p8]
13.... | 0 |
Everyone who is brave is not patient or happy.
Everyone who is not strong is patient or kind and vice versa.
If someone is tall or not happy then someone is not tall and vice versa.
Everyone who is not quiet or not calm is both humble and not funny.
Everyone who is not quiet is not creative or happy and vice versa.
Eve... | Alice is not old. | neutral | (![X]:(brave(X)=>(~patient(X)|happy(X))))&
(![X]:(~strong(X)<=>(patient(X)|kind(X))))&
((?[X]:((tall(X)|~happy(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~quiet(X)|~calm(X))=>(humble(X)&~funny(X))))&
(![X]:(~quiet(X)<=>(~creative(X)|happy(X))))&
(![X]:((generous(X)<~>funny(X))<=>patient(X)))&
(![X]:((~patient(X)|happy(X))<=>t... | ~old(alice) | [] | null | 0 |
Everyone who is either generous or not old is either curious or not happy. If lucy is both quiet and not quiet then alice is either kind or not tall and vice versa. If someone is either not quiet or old then susan is either not happy or not curious and vice versa. Everyone who is not wise or not humble is either humble... | Susan is generous. | contradiction | (![X]:((generous(X)<~>~old(X))=>(curious(X)<~>~happy(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>((kind(alice)<~>~tall(alice))))&
((?[X]:((~quiet(X)<~>old(X))))<=>((~happy(susan)<~>~curious(susan))))&
(![X]:((~wise(X)|~humble(X))=>(humble(X)<~>~brave(X))))&
(![X]:((~humble(X)&patient(X))<=>(old(X)&~brave(X))))&
((?[X]:(~wis... | generous(susan) | [
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 855279901440100654870012
% SZS output start Proof for 855279901440100654870012
8. ! [X0] : ((~rich(X0) | generous(X0)) => (strong(X0) & ~calm(X0))) [input p7]
13. ~generous(john) => ? [X0] : ~kind(X0) [input p12]
15. ? [X0] : (~kind(X0) | generous(X0)) => (calm(susan) & ~wise(susan)) [inp... | 0 |
Everyone who is not humble or not rich is patient or curious and vice versa.
If susan is brave or rich then paul is either not quiet or curious.
If john is both patient and not happy then john is both not happy and not creative and vice versa.
Everyone who is both generous and quiet is both not wise and kind.
Everyone ... | Susan is curious. | neutral | (![X]:((~humble(X)|~rich(X))<=>(patient(X)|curious(X))))&
(((brave(susan)|rich(susan)))=>((~quiet(paul)<~>curious(paul))))&
(((patient(john)&~happy(john)))<=>((~happy(john)&~creative(john))))&
(![X]:((generous(X)&quiet(X))=>(~wise(X)&kind(X))))&
(![X]:((~generous(X)|~curious(X))=>~humble(X)))&
(![X]:(calm(X)<=>(rich(X)... | curious(susan) | [] | null | 0 |
If someone is either not creative or not happy then fred is both strong and wise. Everyone who is old or not tall is not brave or curious. If paul is not humble then paul is not quiet or strong and vice versa. Everyone who is not quiet is either strong or not brave and vice versa. If paul is not generous or not patient... | Fred is not funny. | entailment | ((?[X]:((~creative(X)<~>~happy(X))))=>((strong(fred)&wise(fred))))&
(![X]:((old(X)|~tall(X))=>(~brave(X)|curious(X))))&
((~humble(paul))<=>((~quiet(paul)|strong(paul))))&
(![X]:(~quiet(X)<=>(strong(X)<~>~brave(X))))&
(((~generous(paul)|~patient(paul)))<=>((~curious(alice)&~creative(alice))))&
((?[X]:(old(X)))=>((~funny... | ~funny(fred) | [
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2751852154115444268735852
% SZS output start Proof for 2751852154115444268735852
12. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (funny(X0) | old(X0))) [input p11]
13. ! [X0] : ((~wise(X0) | patient(X0)) <=> funny(X0)) [input p12]
15. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~funny(X0))) [input... | 0 |
Everyone who is not tall or funny is both not strong and not generous.
If alice is not rich then john is either not wise or strong and vice versa.
Everyone who is strong is either old or not generous.
If alice is either creative or strong then paul is generous and vice versa.
Everyone who is both not calm and creative ... | Paul is not kind. | contradiction | (![X]:((~tall(X)|funny(X))=>(~strong(X)&~generous(X))))&
((~rich(alice))<=>((~wise(john)<~>strong(john))))&
(![X]:(strong(X)=>(old(X)<~>~generous(X))))&
(((creative(alice)<~>strong(alice)))<=>(generous(paul)))&
(![X]:((~calm(X)&creative(X))<=>(~brave(X)&calm(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(~kind(X)<~>~str... | ~kind(paul) | [
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7942670492403074079439509
% SZS output start Proof for 7942670492403074079439509
7. ? [X0] : (brave(X0) | funny(X0)) <=> ? [X0] : ~tall(X0) [input p6]
11. ! [X0] : (~tall(X0) => (~brave(X0) & tall(X0))) [input p10]
14. ! [X0] : ((~kind(X0) | ~quiet(X0)) => (kind(X0) <~> brave(X0))) [input... | 0 |
Everyone who is both funny and not rich is either not patient or old and vice versa. If lucy is either rich or not generous then alice is both calm and curious. Everyone who is both creative and happy is both brave and not happy and vice versa. Everyone who is not tall or rich is not strong and vice versa. If john is b... | Lucy is not strong. | neutral | (![X]:((funny(X)&~rich(X))<=>(~patient(X)<~>old(X))))&
(((rich(lucy)<~>~generous(lucy)))=>((calm(alice)&curious(alice))))&
(![X]:((creative(X)&happy(X))<=>(brave(X)&~happy(X))))&
(![X]:((~tall(X)|rich(X))<=>~strong(X)))&
(((~tall(john)&~calm(john)))=>((~kind(paul)&~strong(paul))))&
((?[X]:(~creative(X)))<=>(~funny(fred... | ~strong(lucy) | [] | null | 0 |
If susan is brave then someone is not curious and vice versa.
If someone is brave or not old then someone is curious.
If fred is not humble or not generous then someone is old.
Everyone who is either not creative or brave is either old or curious and vice versa.
If someone is either not patient or rich then someone is ... | Fred is generous. | neutral | ((brave(susan))<=>(?[X]:(~curious(X))))&
((?[X]:((brave(X)|~old(X))))=>(?[X]:(curious(X))))&
(((~humble(fred)|~generous(fred)))=>(?[X]:(old(X))))&
(![X]:((~creative(X)<~>brave(X))<=>(old(X)<~>curious(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(?[X]:((~brave(X)<~>happy(X)))))&
((?[X]:((curious(X)&happy(X))))<=>(?[X]:((pa... | generous(fred) | [] | null | 0 |
Everyone who is curious is not tall or not funny. If someone is not rich then someone is humble. If fred is both happy and not old then alice is happy. If mary is not old then alice is not curious or old and vice versa. Everyone who is both rich and not tall is patient or creative. Everyone who is either curious or bra... | Fred is not generous. | neutral | (![X]:(curious(X)=>(~tall(X)|~funny(X))))&
((?[X]:(~rich(X)))=>(?[X]:(humble(X))))&
(((happy(fred)&~old(fred)))=>(happy(alice)))&
((~old(mary))<=>((~curious(alice)|old(alice))))&
(![X]:((rich(X)&~tall(X))=>(patient(X)|creative(X))))&
(![X]:((curious(X)<~>brave(X))=>~creative(X)))&
(![X]:(~wise(X)<=>(~old(X)|~creative(X... | ~generous(fred) | [] | null | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa. Everyone who is both tall and not generous is creative or wise and vice versa. If someone is not generous or not funny then lucy is either not generous or not wise and vice versa. Everyone who is creative is curious or generous a... | John is not funny. | contradiction | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|wise(X))))&
((?[X]:((~generous(X)|~funny(X))))<=>((~generous(lucy)<~>~wise(lucy))))&
(![X]:(creative(X)<=>(curious(X)|generous(X))))&
(![X]:((~funny(X)|rich(X))=>(~patient(X)&~calm(X))))&
(![X]:((creative(X)<~>~bra... | ~funny(john) | [
"p1",
"p3",
"p4",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 851528676450010289981965
% SZS output start Proof for 851528676450010289981965
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (wise(X0) | creative(X0))) [input p1]
4. ! [X0] : (creative(X0) <=> (generous(X0) | curious(X0))) [input p3]
5. ! [X0] : ((rich(X0) | ~funny(X0)) => (~calm(X0) & ~pat... | 0 |
If someone is not funny or wise then someone is brave and vice versa.
Everyone who is both creative and old is not brave or generous.
If someone is both old and not brave then someone is not kind or creative.
Everyone who is both humble and tall is both not quiet and not patient.
Everyone who is both not creative and p... | Susan is wise. | contradiction | ((?[X]:((~funny(X)|wise(X))))<=>(?[X]:(brave(X))))&
(![X]:((creative(X)&old(X))=>(~brave(X)|generous(X))))&
((?[X]:((old(X)&~brave(X))))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((humble(X)&tall(X))=>(~quiet(X)&~patient(X))))&
(![X]:((~creative(X)&patient(X))<=>(wise(X)|happy(X))))&
(((~funny(susan)<~>calm(susan)))=>(?... | wise(susan) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 180141530961943097918282
% SZS output start Proof for 180141530961943097918282
5. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (happy(X0) | wise(X0))) [input p4]
18. ~patient(susan) [input p17]
25. wise(susan) [input hypothesis]
50. ! [X0] : (((patient(X0) & ~creative(X0)) | (~happy(X0) & ... | 0 |
If susan is patient then susan is not funny or not calm and vice versa. Everyone who is either not generous or not patient is not wise and vice versa. Everyone who is happy or calm is either quiet or tall. Everyone who is patient or not kind is either rich or funny. If john is creative or not patient then john is creat... | Fred is creative. | neutral | ((patient(susan))<=>((~funny(susan)|~calm(susan))))&
(![X]:((~generous(X)<~>~patient(X))<=>~wise(X)))&
(![X]:((happy(X)|calm(X))=>(quiet(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(rich(X)<~>funny(X))))&
(((creative(john)|~patient(john)))<=>(creative(john)))&
(![X]:((curious(X)<~>calm(X))=>(~happy(X)|~tall(X))))&
(... | creative(fred) | [] | null | 0 |
Everyone who is rich or not strong is not kind.
Everyone who is rich is old and vice versa.
If fred is both funny and not calm then someone is kind or not quiet and vice versa.
Everyone who is not quiet or happy is both patient and generous and vice versa.
If someone is happy then mary is either kind or not patient and... | Paul is not brave. | entailment | (![X]:((rich(X)|~strong(X))=>~kind(X)))&
(![X]:(rich(X)<=>old(X)))&
(((funny(fred)&~calm(fred)))<=>(?[X]:((kind(X)|~quiet(X)))))&
(![X]:((~quiet(X)|happy(X))<=>(patient(X)&generous(X))))&
((?[X]:(happy(X)))<=>((kind(mary)<~>~patient(mary))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:((~b... | ~brave(paul) | [
"p1",
"p3",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8465221604231899135225549
% SZS output start Proof for 8465221604231899135225549
2. ! [X0] : (rich(X0) <=> old(X0)) [input p1]
4. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (generous(X0) & patient(X0))) [input p3]
7. ! [X0] : ((humble(X0) & ~brave(X0)) <=> (old(X0) | ~happy(X0))) [input p6]
1... | 0 |
If lucy is either not humble or not happy then fred is not brave or not funny. If fred is quiet then john is either rich or not generous. If john is generous then someone is old or not rich. Everyone who is both quiet and curious is not patient and vice versa. Everyone who is not funny or happy is not generous. If some... | Fred is humble. | entailment | (((~humble(lucy)<~>~happy(lucy)))=>((~brave(fred)|~funny(fred))))&
((quiet(fred))=>((rich(john)<~>~generous(john))))&
((generous(john))=>(?[X]:((old(X)|~rich(X)))))&
(![X]:((quiet(X)&curious(X))<=>~patient(X)))&
(![X]:((~funny(X)|happy(X))=>~generous(X)))&
((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:(funny(X))))&
(![X]:((h... | humble(fred) | [
"p3",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2076624804397100201756686
% SZS output start Proof for 2076624804397100201756686
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~patient(X0)) [input p3]
5. ! [X0] : ((happy(X0) | ~funny(X0)) => ~generous(X0)) [input p4]
7. ! [X0] : ((~curious(X0) | happy(X0)) <=> (creative(X0) | ~brave(X0))) ... | 0 |
Everyone who is both curious and not old is not quiet and vice versa.
If someone is not generous or not strong then mary is calm.
Everyone who is wise is both not calm and old.
If lucy is not rich or not tall then someone is both curious and not patient and vice versa.
Everyone who is not patient or not tall is wise an... | Paul is tall. | entailment | (![X]:((curious(X)&~old(X))<=>~quiet(X)))&
((?[X]:((~generous(X)|~strong(X))))=>(calm(mary)))&
(![X]:(wise(X)=>(~calm(X)&old(X))))&
(((~rich(lucy)|~tall(lucy)))<=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~patient(X)|~tall(X))<=>wise(X)))&
((?[X]:((brave(X)|~humble(X))))=>((~old(alice)<~>~happy(alice))))&
((strong(ma... | tall(paul) | [
"p2",
"p4",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8298343627927329369546974
% SZS output start Proof for 8298343627927329369546974
3. ! [X0] : (wise(X0) => (old(X0) & ~calm(X0))) [input p2]
5. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> wise(X0)) [input p4]
15. ! [X0] : ((curious(X0) | happy(X0)) <=> ~old(X0)) [input p14]
22. happy(paul) & ... | 0 |
Everyone who is either not brave or quiet is either tall or kind.
If someone is not funny then susan is not tall or creative and vice versa.
Everyone who is quiet is not quiet.
Everyone who is either patient or generous is happy or curious.
Everyone who is either not funny or not wise is both not rich and not curious a... | Susan is not old. | entailment | (![X]:((~brave(X)<~>quiet(X))=>(tall(X)<~>kind(X))))&
((?[X]:(~funny(X)))<=>((~tall(susan)|creative(susan))))&
(![X]:(quiet(X)=>~quiet(X)))&
(![X]:((patient(X)<~>generous(X))=>(happy(X)|curious(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~rich(X)&~curious(X))))&
(![X]:((tall(X)<~>~rich(X))<=>(quiet(X)|~generous(X))))&
(((h... | ~old(susan) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7151785462958573833573659
% SZS output start Proof for 7151785462958573833573659
3. ! [X0] : (quiet(X0) => ~quiet(X0)) [input p2]
11. ! [X0] : ((~quiet(X0) <~> ~old(X0)) => ~old(X0)) [input p10]
24. old(susan) [input hypothesis]
30. ! [X0] : (~quiet(X0) | ~quiet(X0)) [ennf transformation ... | 0 |
If someone is either creative or not curious then susan is either not brave or not generous and vice versa. Everyone who is either tall or not humble is not old and vice versa. If alice is both not creative and wise then someone is both tall and rich and vice versa. If someone is not kind or not tall then susan is rich... | Mary is quiet. | contradiction | ((?[X]:((creative(X)<~>~curious(X))))<=>((~brave(susan)<~>~generous(susan))))&
(![X]:((tall(X)<~>~humble(X))<=>~old(X)))&
(((~creative(alice)&wise(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((~kind(X)|~tall(X))))=>(rich(susan)))&
(![X]:((~strong(X)<~>~patient(X))=>(humble(X)|creative(X))))&
(![X]:((~curious(X)<~>pa... | quiet(mary) | [
"p5",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4558832462690669887106508
% SZS output start Proof for 4558832462690669887106508
6. ! [X0] : ((~curious(X0) <~> patient(X0)) => ~quiet(X0)) [input p5]
9. ! [X0] : ((funny(X0) & ~strong(X0)) <=> ~patient(X0)) [input p8]
12. ! [X0] : ((funny(X0) <~> ~patient(X0)) <=> (~quiet(X0) <~> curious... | 0 |
If someone is kind or brave then someone is not strong or not funny.
If mary is both brave and patient then alice is both not generous and not quiet.
Everyone who is either generous or not curious is both not humble and creative and vice versa.
If susan is both not humble and calm then susan is funny or calm and vice v... | Lucy is quiet. | neutral | ((?[X]:((kind(X)|brave(X))))=>(?[X]:((~strong(X)|~funny(X)))))&
(((brave(mary)&patient(mary)))=>((~generous(alice)&~quiet(alice))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)&creative(X))))&
(((~humble(susan)&calm(susan)))<=>((funny(susan)|calm(susan))))&
(![X]:(~patient(X)<=>~happy(X)))&
((~quiet(fred))<=>(?[X]... | quiet(lucy) | [] | null | 0 |
Everyone who is calm or old is happy and vice versa.
Everyone who is humble is both humble and kind and vice versa.
If someone is both not calm and not quiet then someone is both creative and not happy and vice versa.
Everyone who is not creative or not tall is wise or quiet.
If fred is not generous or not happy then a... | John is not old. | neutral | (![X]:((calm(X)|old(X))<=>happy(X)))&
(![X]:(humble(X)<=>(humble(X)&kind(X))))&
((?[X]:((~calm(X)&~quiet(X))))<=>(?[X]:((creative(X)&~happy(X)))))&
(![X]:((~creative(X)|~tall(X))=>(wise(X)|quiet(X))))&
(((~generous(fred)|~happy(fred)))<=>((curious(alice)<~>~curious(alice))))&
(((calm(john)|~rich(john)))=>(?[X]:((~quiet... | ~old(john) | [] | null | 0 |
Everyone who is wise is either not kind or old. Everyone who is both curious and not strong is both not generous and not tall. If someone is both generous and patient then someone is not calm. Everyone who is both creative and humble is either wise or not creative. Everyone who is both happy and brave is not tall or qu... | John is wise. | neutral | (![X]:(wise(X)=>(~kind(X)<~>old(X))))&
(![X]:((curious(X)&~strong(X))=>(~generous(X)&~tall(X))))&
((?[X]:((generous(X)&patient(X))))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&humble(X))=>(wise(X)<~>~creative(X))))&
(![X]:((happy(X)&brave(X))<=>(~tall(X)|quiet(X))))&
(![X]:(brave(X)=>(calm(X)|humble(X))))&
(![X]:((funny(... | wise(john) | [] | null | 0 |
If someone is both humble and not humble then mary is either calm or funny.
Everyone who is funny or not happy is not humble and vice versa.
Everyone who is not happy or creative is both funny and happy and vice versa.
If john is creative then paul is not patient and vice versa.
If someone is both not curious and not w... | Paul is quiet. | entailment | ((?[X]:((humble(X)&~humble(X))))=>((calm(mary)<~>funny(mary))))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)&happy(X))))&
((creative(john))<=>(~patient(paul)))&
((?[X]:((~curious(X)&~wise(X))))<=>(?[X]:((~tall(X)<~>~generous(X)))))&
(![X]:((~brave(X)|~humble(X))<=>(~strong(X)<... | quiet(paul) | [
"p2",
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 309296571109990177341641
% SZS output start Proof for 309296571109990177341641
3. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p2]
7. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (rich(X0) | ~curious(X0))) [input p6]
16. ! [X0] : (calm(X0) <=> (quiet(X0) <~> happy(X0)... | 0 |
Everyone who is either not brave or strong is not quiet or rich and vice versa.
Everyone who is either not humble or not tall is patient or not quiet and vice versa.
Everyone who is not patient is either not funny or not creative and vice versa.
Everyone who is both not tall and not curious is either tall or kind and v... | Susan is not strong. | entailment | (![X]:((~brave(X)<~>strong(X))<=>(~quiet(X)|rich(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(patient(X)|~quiet(X))))&
(![X]:(~patient(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:((~tall(X)&~curious(X))<=>(tall(X)<~>kind(X))))&
(![X]:(calm(X)=>rich(X)))&
(((happy(alice)&~tall(alice)))<=>(?[X]:((~humble(X)|strong(X)))))&
((?[X... | ~strong(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5428648864895510022155085
% SZS output start Proof for 5428648864895510022155085
17. ~strong(susan) [input p16]
24. strong(susan) [input hypothesis]
144. ~strong(susan) [cnf transformation 17]
155. strong(susan) [cnf transformation 24]
206. 11 <=> strong(susan) [avatar definition]
322. ~1... | 0 |
Everyone who is either not strong or generous is both not wise and happy and vice versa. Everyone who is both kind and brave is patient. Everyone who is either not tall or tall is both happy and rich. Everyone who is happy is not curious or quiet. If someone is either generous or not curious then lucy is either tall or... | Mary is not wise. | neutral | (![X]:((~strong(X)<~>generous(X))<=>(~wise(X)&happy(X))))&
(![X]:((kind(X)&brave(X))=>patient(X)))&
(![X]:((~tall(X)<~>tall(X))=>(happy(X)&rich(X))))&
(![X]:(happy(X)=>(~curious(X)|quiet(X))))&
((?[X]:((generous(X)<~>~curious(X))))=>((tall(lucy)<~>humble(lucy))))&
((?[X]:((~happy(X)|~curious(X))))<=>(?[X]:((happy(X)&~f... | ~wise(mary) | [] | null | 0 |
Everyone who is patient is either patient or not old.
If someone is not kind then someone is either generous or not curious.
If susan is either not funny or not rich then someone is either not happy or not strong.
If someone is happy or not creative then someone is both quiet and generous and vice versa.
If mary is not... | Mary is patient. | contradiction | (![X]:(patient(X)=>(patient(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>(?[X]:((generous(X)<~>~curious(X)))))&
(((~funny(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((happy(X)|~creative(X))))<=>(?[X]:((quiet(X)&generous(X)))))&
((~creative(mary))<=>((funny(fred)<~>~old(fred))))&
(![X]:((~tall(X)|~brave... | patient(mary) | [
"p0",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2834792118107678095182332
% SZS output start Proof for 2834792118107678095182332
1. ! [X0] : (patient(X0) => (patient(X0) <~> ~old(X0))) [input p0]
13. ! [X0] : (~creative(X0) <=> (~patient(X0) <~> ~happy(X0))) [input p12]
14. ! [X0] : ((rich(X0) | ~kind(X0)) <=> happy(X0)) [input p13]
16... | 0 |
If someone is not humble or quiet then someone is either not wise or not rich. Everyone who is either funny or curious is calm or not humble and vice versa. Everyone who is kind or not happy is either curious or not humble and vice versa. Everyone who is not tall or not old is either not generous or strong and vice ver... | Lucy is brave. | entailment | ((?[X]:((~humble(X)|quiet(X))))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(X)<~>strong(X))))&
(![X]:((~patient(X)|~humble(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:(~wise(X)=>... | brave(lucy) | [
"p1",
"p2",
"p4",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7441967934986949770178529
% SZS output start Proof for 7441967934986949770178529
2. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (~humble(X0) | calm(X0))) [input p1]
3. ! [X0] : ((~happy(X0) | kind(X0)) <=> (curious(X0) <~> ~humble(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | ~patient(X0)) <... | 0 |
Everyone who is not quiet is both wise and not happy and vice versa. Everyone who is not calm or not old is both quiet and not curious and vice versa. If someone is both humble and calm then mary is kind or not patient and vice versa. Everyone who is wise or strong is both not strong and humble. Everyone who is both no... | Mary is not quiet. | contradiction | (![X]:(~quiet(X)<=>(wise(X)&~happy(X))))&
(![X]:((~calm(X)|~old(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>((kind(mary)|~patient(mary))))&
(![X]:((wise(X)|strong(X))=>(~strong(X)&humble(X))))&
(![X]:((~humble(X)&~calm(X))<=>(patient(X)|rich(X))))&
(![X]:((~humble(X)&generous(X))<=>~patient(X)))&
((... | ~quiet(mary) | [
"p0",
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8758101396557725069929811
% SZS output start Proof for 8758101396557725069929811
1. ! [X0] : (~quiet(X0) <=> (~happy(X0) & wise(X0))) [input p0]
4. ! [X0] : ((strong(X0) | wise(X0)) => (humble(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (rich(X0) | patient(X0... | 0 |
Everyone who is either not rich or not creative is both not patient and calm and vice versa. Everyone who is not strong or not happy is brave and vice versa. Everyone who is curious or tall is creative and vice versa. Everyone who is either creative or funny is both not calm and patient and vice versa. Everyone who is ... | Alice is not kind. | neutral | (![X]:((~rich(X)<~>~creative(X))<=>(~patient(X)&calm(X))))&
(![X]:((~strong(X)|~happy(X))<=>brave(X)))&
(![X]:((curious(X)|tall(X))<=>creative(X)))&
(![X]:((creative(X)<~>funny(X))<=>(~calm(X)&patient(X))))&
(![X]:((~brave(X)|kind(X))=>~generous(X)))&
(![X]:(~creative(X)<=>(~brave(X)|~kind(X))))&
(![X]:((~quiet(X)<~>ca... | ~kind(alice) | [] | null | 0 |
Everyone who is both rich and not calm is not humble. Everyone who is not generous is not patient. Everyone who is both rich and kind is not curious and vice versa. Everyone who is calm is funny. If someone is not generous or patient then someone is curious and vice versa. If someone is either tall or not tall then sus... | Fred is generous. | entailment | (![X]:((rich(X)&~calm(X))=>~humble(X)))&
(![X]:(~generous(X)=>~patient(X)))&
(![X]:((rich(X)&kind(X))<=>~curious(X)))&
(![X]:(calm(X)=>funny(X)))&
((?[X]:((~generous(X)|patient(X))))<=>(?[X]:(curious(X))))&
((?[X]:((tall(X)<~>~tall(X))))=>((~wise(susan)|strong(susan))))&
(![X]:((brave(X)<~>curious(X))=>(~creative(X)<~>... | generous(fred) | [
"p1",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6054141909769175645772792
% SZS output start Proof for 6054141909769175645772792
2. ! [X0] : (~generous(X0) => ~patient(X0)) [input p1]
11. ! [X0] : (~curious(X0) => (~generous(X0) <~> ~patient(X0))) [input p10]
16. ! [X0] : ((patient(X0) & tall(X0)) <=> curious(X0)) [input p15]
25. ~gene... | 0 |
Everyone who is both old and not curious is not generous. If paul is both not patient and not rich then someone is not curious. Everyone who is wise is not funny or not old. If someone is humble or not quiet then someone is both rich and old and vice versa. If susan is either not funny or not generous then fred is both... | Lucy is not strong. | entailment | (![X]:((old(X)&~curious(X))=>~generous(X)))&
(((~patient(paul)&~rich(paul)))=>(?[X]:(~curious(X))))&
(![X]:(wise(X)=>(~funny(X)|~old(X))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(susan)))=>((~calm(fred)&~happy(fred))))&
(![X]:((creative(X)|~strong(X))=>~creative(X)))&... | ~strong(lucy) | [
"p7",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5773445879476231179613313
% SZS output start Proof for 5773445879476231179613313
8. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~generous(X0) | kind(X0))) [input p7]
15. (~strong(lucy) & ~happy(lucy)) <=> ? [X0] : (~kind(X0) & ~wise(X0)) [input p14]
24. ~creative(john) & ~wise(john) [input p... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa. If alice is not creative then someone is generous and vice versa. Everyone who is both curious and not strong is not wise. If someone is either not patient or old then someone is not rich and vice versa. Everyone who is not quiet is wise. If som... | Paul is not strong. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)=>wise(X)))&
((?[X]:(humble(X)))<=>(~kind(alice)))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:((~patient(X)... | ~strong(paul) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7004532220196507298111635
% SZS output start Proof for 7004532220196507298111635
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & curious(X0)) => ~wise(X0)) [input p2]
4. ? [X0] : (~patient(X0) <~> old(X0)) <=> ? [X0] : ~rich(X0) [i... | 0 |
Everyone who is both tall and brave is either not rich or not creative and vice versa. If someone is either not wise or not kind then someone is generous or not quiet. Everyone who is brave is both not rich and not creative and vice versa. If someone is not patient or not strong then alice is either not brave or old. E... | Alice is brave. | contradiction | (![X]:((tall(X)&brave(X))<=>(~rich(X)<~>~creative(X))))&
((?[X]:((~wise(X)<~>~kind(X))))=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:(brave(X)<=>(~rich(X)&~creative(X))))&
((?[X]:((~patient(X)|~strong(X))))=>((~brave(alice)<~>old(alice))))&
(![X]:((generous(X)&humble(X))=>~patient(X)))&
(![X]:((brave(X)|~creative(X))=>(c... | brave(alice) | [
"p3",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4384933087146587271908875
% SZS output start Proof for 4384933087146587271908875
4. ? [X0] : (~strong(X0) | ~patient(X0)) => (~brave(alice) <~> old(alice)) [input p3]
9. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (~rich(X0) | ~kind(X0))) [input p8]
13. ! [X0] : ((rich(X0) | ~strong(X0)) => ... | 0 |
Everyone who is both rich and not calm is not old or generous.
Everyone who is not creative or not happy is creative and vice versa.
Everyone who is not kind or not patient is patient or not old and vice versa.
If someone is not strong or not rich then susan is not generous and vice versa.
If alice is either humble or ... | Fred is patient. | neutral | (![X]:((rich(X)&~calm(X))=>(~old(X)|generous(X))))&
(![X]:((~creative(X)|~happy(X))<=>creative(X)))&
(![X]:((~kind(X)|~patient(X))<=>(patient(X)|~old(X))))&
((?[X]:((~strong(X)|~rich(X))))<=>(~generous(susan)))&
(((humble(alice)<~>~happy(alice)))<=>((kind(john)&old(john))))&
(![X]:((patient(X)&strong(X))=>(~brave(X)|br... | patient(fred) | [] | null | 0 |
Everyone who is calm or creative is not funny or not calm and vice versa.
If someone is either not calm or curious then someone is not tall or not strong and vice versa.
Everyone who is not old or wise is not patient or not humble.
Everyone who is wise or not funny is wise and vice versa.
If paul is both not creative a... | Paul is quiet. | entailment | (![X]:((calm(X)|creative(X))<=>(~funny(X)|~calm(X))))&
((?[X]:((~calm(X)<~>curious(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
(![X]:((~old(X)|wise(X))=>(~patient(X)|~humble(X))))&
(![X]:((wise(X)|~funny(X))<=>wise(X)))&
(((~creative(paul)&patient(paul)))<=>(?[X]:((patient(X)<~>~happy(X)))))&
(![X]:((brave(X)&~rich(X))=>(... | quiet(paul) | [
"p0",
"p2",
"p4",
"p5",
"p7",
"p8",
"p13",
"p14",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2364729171373170442695060
% SZS output start Proof for 2364729171373170442695060
1. ! [X0] : ((creative(X0) | calm(X0)) <=> (~calm(X0) | ~funny(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~old(X0)) => (~humble(X0) | ~patient(X0))) [input p2]
5. (patient(paul) & ~creative(paul)) <=> ? [X0] :... | 0 |
If alice is not tall or rich then someone is either strong or curious and vice versa. Everyone who is rich is both not brave and happy. If alice is brave or strong then john is both brave and strong. If john is either not tall or happy then someone is both generous and not calm. If someone is old then someone is kind. ... | Paul is brave. | entailment | (((~tall(alice)|rich(alice)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(![X]:(rich(X)=>(~brave(X)&happy(X))))&
(((brave(alice)|strong(alice)))=>((brave(john)&strong(john))))&
(((~tall(john)<~>happy(john)))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:(old(X)))=>(?[X]:(kind(X))))&
(![X]:((kind(X)&~old(X))<=>(patient(X)&quiet(... | brave(paul) | [
"p1",
"p10",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6703531254489002592651089
% SZS output start Proof for 6703531254489002592651089
2. ! [X0] : (rich(X0) => (happy(X0) & ~brave(X0))) [input p1]
11. ! [X0] : (~calm(X0) <=> (calm(X0) <~> ~tall(X0))) [input p10]
12. ? [X0] : ~strong(X0) => ? [X0] : (~kind(X0) & rich(X0)) [input p11]
14. ! [X... | 0 |
Everyone who is both not funny and not humble is tall or rich.
Everyone who is either not humble or brave is generous and vice versa.
Everyone who is either not kind or kind is brave or wise and vice versa.
Everyone who is both not funny and not strong is calm and vice versa.
If someone is not funny then susan is eithe... | Paul is not strong. | neutral | (![X]:((~funny(X)&~humble(X))=>(tall(X)|rich(X))))&
(![X]:((~humble(X)<~>brave(X))<=>generous(X)))&
(![X]:((~kind(X)<~>kind(X))<=>(brave(X)|wise(X))))&
(![X]:((~funny(X)&~strong(X))<=>calm(X)))&
((?[X]:(~funny(X)))<=>((~brave(susan)<~>curious(susan))))&
((~generous(susan))<=>(?[X]:((patient(X)&humble(X)))))&
((?[X]:((o... | ~strong(paul) | [] | null | 0 |
If someone is not strong or tall then john is rich or humble and vice versa.
If someone is creative then someone is either not tall or happy and vice versa.
Everyone who is not wise is not strong.
Everyone who is not strong is both not humble and patient and vice versa.
If someone is strong or not quiet then someone is... | John is rich. | entailment | ((?[X]:((~strong(X)|tall(X))))<=>((rich(john)|humble(john))))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)<~>happy(X)))))&
(![X]:(~wise(X)=>~strong(X)))&
(![X]:(~strong(X)<=>(~humble(X)&patient(X))))&
((?[X]:((strong(X)|~quiet(X))))=>(?[X]:((~patient(X)&~calm(X)))))&
((?[X]:((~tall(X)<~>happy(X))))=>(~wise(john)))&
((~cre... | rich(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3628385220009459710222586
% SZS output start Proof for 3628385220009459710222586
1. ? [X0] : (tall(X0) | ~strong(X0)) <=> (humble(john) | rich(john)) [input p0]
2. ? [X0] : creative(X0) <=> ? [X0] : (~tall(X0) <~> happy(X0)) [input p1]
3. ! [X0] : (~wise(X0) => ~strong(X0)) [input p2]
4. ... | 0 |
Everyone who is either brave or not curious is not funny or rich and vice versa.
Everyone who is either strong or tall is both not patient and generous.
If someone is not curious then someone is not quiet.
Everyone who is either not brave or rich is strong and vice versa.
If someone is not creative then someone is not ... | Paul is old. | neutral | (![X]:((brave(X)<~>~curious(X))<=>(~funny(X)|rich(X))))&
(![X]:((strong(X)<~>tall(X))=>(~patient(X)&generous(X))))&
((?[X]:(~curious(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)<~>rich(X))<=>strong(X)))&
((?[X]:(~creative(X)))=>(?[X]:((~creative(X)|quiet(X)))))&
(![X]:(calm(X)=>~funny(X)))&
(((~brave(lucy)|patient(lucy... | old(paul) | [] | null | 0 |
Everyone who is not humble or quiet is not humble.
Everyone who is not kind is both old and funny and vice versa.
If susan is not tall or tall then someone is funny or kind.
If someone is rich or not wise then john is not funny or not humble and vice versa.
Everyone who is both calm and not creative is either not funny... | Paul is not funny. | neutral | (![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(((rich(john)<~>~funny(john)))<=>(?[X]:((~old(X)|~hu... | ~funny(paul) | [] | null | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either funny or not patient is old or not creative. If lucy is not kind then someone is generous or not funny and vice versa. If susan is both not curious and humble then mary is either not curious or happy. Everyone who is wise or not ge... | Fred is not humble. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((funny(X)<~>~patient(X))=>(old(X)|~creative(X))))&
((~kind(lucy))<=>(?[X]:((generous(X)|~funny(X)))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~... | ~humble(fred) | [
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 445634660877446367101486
% SZS output start Proof for 445634660877446367101486
5. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p5]
7. ! [X0] : ((kind(X0) & funny(X0)) <=> ~calm(... | 0 |
If mary is either not calm or not creative then someone is generous or not funny.
If someone is not curious then susan is not happy or not curious and vice versa.
Everyone who is either strong or not humble is either not funny or not humble.
If someone is wise or kind then fred is not patient and vice versa.
If someone... | Paul is generous. | contradiction | (((~calm(mary)<~>~creative(mary)))=>(?[X]:((generous(X)|~funny(X)))))&
((?[X]:(~curious(X)))<=>((~happy(susan)|~curious(susan))))&
(![X]:((strong(X)<~>~humble(X))=>(~funny(X)<~>~humble(X))))&
((?[X]:((wise(X)|kind(X))))<=>(~patient(fred)))&
((?[X]:((~strong(X)|happy(X))))<=>((calm(fred)<~>~kind(fred))))&
(![X]:((humble... | generous(paul) | [
"p2",
"p7",
"p8",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6929795256339963977359088
% SZS output start Proof for 6929795256339963977359088
3. ! [X0] : ((strong(X0) <~> ~humble(X0)) => (~funny(X0) <~> ~humble(X0))) [input p2]
8. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (~tall(X0) & creative(X0))) [input p7]
9. ! [X0] : ((calm(X0) <~> tall(X0)) <=> (f... | 0 |
Everyone who is not humble or old is both not strong and calm and vice versa. Everyone who is both brave and creative is either happy or not humble. Everyone who is not generous is both generous and patient and vice versa. If john is not calm or not funny then mary is patient and vice versa. If susan is both kind and n... | Mary is not strong. | entailment | (![X]:((~humble(X)|old(X))<=>(~strong(X)&calm(X))))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
(((~calm(john)|~funny(john)))<=>(patient(mary)))&
(((kind(susan)&~rich(susan)))<=>(?[X]:((wise(X)<~>calm(X)))))&
((?[X]:(~humble(X)))<=>(~patient(susan)))&
(![... | ~strong(mary) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p9",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 445055144958963870126548
% SZS output start Proof for 445055144958963870126548
1. ! [X0] : ((old(X0) | ~humble(X0)) <=> (calm(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p1]
3. ! [X0] : (~generous(X0) <=> (patient(X0) & gen... | 0 |
Everyone who is strong or not quiet is both brave and not generous and vice versa.
Everyone who is not happy is not funny.
If john is kind or creative then someone is both patient and creative and vice versa.
Everyone who is either generous or quiet is either brave or old and vice versa.
If someone is both kind and not... | Susan is not generous. | entailment | (![X]:((strong(X)|~quiet(X))<=>(brave(X)&~generous(X))))&
(![X]:(~happy(X)=>~funny(X)))&
(((kind(john)|creative(john)))<=>(?[X]:((patient(X)&creative(X)))))&
(![X]:((generous(X)<~>quiet(X))<=>(brave(X)<~>old(X))))&
((?[X]:((kind(X)&~quiet(X))))=>((rich(lucy)|~strong(lucy))))&
(![X]:(~old(X)=>(~kind(X)<~>generous(X))))&... | ~generous(susan) | [
"p0",
"p3",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3422027908285546416759328
% SZS output start Proof for 3422027908285546416759328
1. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (~generous(X0) & brave(X0))) [input p0]
4. ! [X0] : ((generous(X0) <~> quiet(X0)) <=> (brave(X0) <~> old(X0))) [input p3]
13. ! [X0] : ((old(X0) & ~humble(X0)) <=> (... | 0 |
If lucy is not patient then someone is calm and vice versa. Everyone who is not generous is not calm. Everyone who is patient or not calm is not old or old and vice versa. If john is both rich and not wise then someone is happy. Everyone who is both kind and not tall is tall. If someone is both not patient and quiet th... | Lucy is wise. | contradiction | ((~patient(lucy))<=>(?[X]:(calm(X))))&
(![X]:(~generous(X)=>~calm(X)))&
(![X]:((patient(X)|~calm(X))<=>(~old(X)|old(X))))&
(((rich(john)&~wise(john)))=>(?[X]:(happy(X))))&
(![X]:((kind(X)&~tall(X))=>tall(X)))&
((?[X]:((~patient(X)&quiet(X))))=>(generous(mary)))&
(((~curious(john)&humble(john)))<=>((~calm(john)&quiet(jo... | wise(lucy) | [
"p0",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 749093848078518577551015
% SZS output start Proof for 749093848078518577551015
1. ~patient(lucy) <=> ? [X0] : calm(X0) [input p0]
3. ! [X0] : ((~calm(X0) | patient(X0)) <=> (old(X0) | ~old(X0))) [input p2]
8. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~funny(X0) & calm(X0))) [input p7]
25. wis... | 0 |
Everyone who is both strong and not wise is both old and rich.
If paul is not happy or creative then someone is creative and vice versa.
If someone is both not kind and funny then someone is both not quiet and not humble.
Everyone who is both humble and quiet is both old and not tall.
If someone is both strong and not ... | Lucy is rich. | entailment | (![X]:((strong(X)&~wise(X))=>(old(X)&rich(X))))&
(((~happy(paul)|creative(paul)))<=>(?[X]:(creative(X))))&
((?[X]:((~kind(X)&funny(X))))=>(?[X]:((~quiet(X)&~humble(X)))))&
(![X]:((humble(X)&quiet(X))=>(old(X)&~tall(X))))&
((?[X]:((strong(X)&~rich(X))))<=>((~funny(alice)<~>~kind(alice))))&
((?[X]:(~quiet(X)))<=>(?[X]:((... | rich(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5224034741073869268748181
% SZS output start Proof for 5224034741073869268748181
15. ! [X0] : ((generous(X0) & ~generous(X0)) <=> (~rich(X0) | patient(X0))) [input p14]
25. ~rich(lucy) [input hypothesis]
73. ! [X0] : (((generous(X0) & ~generous(X0)) | (rich(X0) & ~patient(X0))) & ((~rich(... | 0 |
If someone is creative then fred is not patient and vice versa.
Everyone who is either not quiet or not patient is either tall or kind.
Everyone who is either not wise or not strong is either not patient or not quiet.
Everyone who is brave or not patient is not humble or not generous and vice versa.
Everyone who is hum... | Fred is humble. | contradiction | ((?[X]:(creative(X)))<=>(~patient(fred)))&
(![X]:((~quiet(X)<~>~patient(X))=>(tall(X)<~>kind(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(~patient(X)<~>~quiet(X))))&
(![X]:((brave(X)|~patient(X))<=>(~humble(X)|~generous(X))))&
(![X]:(humble(X)<=>(generous(X)|wise(X))))&
(![X]:((generous(X)&funny(X))=>(brave(X)|happy(X))))&
... | humble(fred) | [
"p0",
"p3",
"p4",
"p7",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7174252782542910386361759
% SZS output start Proof for 7174252782542910386361759
1. ? [X0] : creative(X0) <=> ~patient(fred) [input p0]
4. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~generous(X0) | ~humble(X0))) [input p3]
5. ! [X0] : (humble(X0) <=> (wise(X0) | generous(X0))) [input p4]
8... | 0 |
Everyone who is either humble or brave is both calm and not happy.
If someone is both calm and not old then someone is both not old and not brave.
Everyone who is both generous and not quiet is not rich and vice versa.
Everyone who is both patient and old is creative.
If someone is either not happy or curious then paul... | Fred is wise. | contradiction | (![X]:((humble(X)<~>brave(X))=>(calm(X)&~happy(X))))&
((?[X]:((calm(X)&~old(X))))=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((generous(X)&~quiet(X))<=>~rich(X)))&
(![X]:((patient(X)&old(X))=>creative(X)))&
((?[X]:((~happy(X)<~>curious(X))))=>((calm(paul)<~>~generous(paul))))&
(![X]:((~old(X)&~tall(X))<=>(strong(X)<~>tall(X... | wise(fred) | [
"p2",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9091348517190812513616456
% SZS output start Proof for 9091348517190812513616456
3. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~rich(X0)) [input p2]
10. ! [X0] : (rich(X0) <=> (strong(X0) & generous(X0))) [input p9]
14. (~rich(susan) & ~generous(susan)) <=> ? [X0] : funny(X0) [input p13]
1... | 0 |
If someone is both curious and not generous then someone is either not wise or patient and vice versa.
Everyone who is not strong or not generous is not funny.
If someone is either kind or patient then someone is calm or not patient and vice versa.
If someone is not patient or not funny then someone is both generous an... | John is not happy. | contradiction | ((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~strong(X)|~generous(X))=>~funny(X)))&
((?[X]:((kind(X)<~>patient(X))))<=>(?[X]:((calm(X)|~patient(X)))))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:((generous(X)&~calm(X)))))&
(![X]:((~generous(X)<~>quiet(X))<=>(wise(X)&~generous(X))))&
(... | ~happy(john) | [
"p0",
"p1",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2611225422590567370252955
% SZS output start Proof for 2611225422590567370252955
1. ? [X0] : (~generous(X0) & curious(X0)) <=> ? [X0] : (~wise(X0) <~> patient(X0)) [input p0]
2. ! [X0] : ((~generous(X0) | ~strong(X0)) => ~funny(X0)) [input p1]
10. ! [X0] : ((kind(X0) | wise(X0)) => (~pati... | 0 |
If someone is both funny and not funny then someone is either not generous or not humble and vice versa. If someone is brave then john is kind and vice versa. If someone is strong then someone is strong or wise. If someone is not humble or rich then someone is not happy or brave. Everyone who is either creative or wise... | Alice is not generous. | contradiction | ((?[X]:((funny(X)&~funny(X))))<=>(?[X]:((~generous(X)<~>~humble(X)))))&
((?[X]:(brave(X)))<=>(kind(john)))&
((?[X]:(strong(X)))=>(?[X]:((strong(X)|wise(X)))))&
((?[X]:((~humble(X)|rich(X))))=>(?[X]:((~happy(X)|brave(X)))))&
(![X]:((creative(X)<~>wise(X))<=>(~quiet(X)&~old(X))))&
(![X]:((creative(X)<~>~quiet(X))=>(~curi... | ~generous(alice) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2100922258179323665257046
% SZS output start Proof for 2100922258179323665257046
1. ? [X0] : (~funny(X0) & funny(X0)) <=> ? [X0] : (~generous(X0) <~> ~humble(X0)) [input p0]
16. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> (~humble(X0) & quiet(X0))) [input p15]
24. ~generous(alice) [input h... | 0 |
Everyone who is generous or not funny is either creative or not rich and vice versa.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is not rich or kind is strong.
If someone is not brave... | Lucy is not rich. | contradiction | (![X]:((generous(X)|~funny(X))<=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humble(paul))))&
((?[X]:((funny(X)<~>tall(X))))=>((ha... | ~rich(lucy) | [
"p0",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1925901825408631078456772
% SZS output start Proof for 1925901825408631078456772
1. ! [X0] : ((~funny(X0) | generous(X0)) <=> (creative(X0) <~> ~rich(X0))) [input p0]
8. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input p7]
9. ! [X0] : ((~rich(X0) | rich(X0)) <=> ~funny(X0)) [inpu... | 0 |
If someone is rich or not happy then someone is either rich or not quiet.
If lucy is either strong or not wise then someone is not creative.
Everyone who is both not strong and not happy is either not funny or not creative and vice versa.
Everyone who is either kind or funny is both not kind and kind and vice versa.
If... | Mary is tall. | neutral | ((?[X]:((rich(X)|~happy(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(((strong(lucy)<~>~wise(lucy)))=>(?[X]:(~creative(X))))&
(![X]:((~strong(X)&~happy(X))<=>(~funny(X)<~>~creative(X))))&
(![X]:((kind(X)<~>funny(X))<=>(~kind(X)&kind(X))))&
(((curious(alice)<~>strong(alice)))=>(humble(fred)))&
(![X]:((tall(X)<~>brave(X))<=>(... | tall(mary) | [] | null | 0 |
If someone is both not calm and kind then lucy is both not rich and calm and vice versa.
Everyone who is either not quiet or creative is either generous or wise.
If mary is not patient or not funny then someone is either not old or not quiet and vice versa.
Everyone who is brave or happy is both not rich and not strong... | Alice is happy. | contradiction | ((?[X]:((~calm(X)&kind(X))))<=>((~rich(lucy)&calm(lucy))))&
(![X]:((~quiet(X)<~>creative(X))=>(generous(X)<~>wise(X))))&
(((~patient(mary)|~funny(mary)))<=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:((brave(X)|happy(X))<=>(~rich(X)&~strong(X))))&
(![X]:((~tall(X)<~>~curious(X))=>calm(X)))&
(![X]:((patient(X)&creative(X))=>... | happy(alice) | [
"p3",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5180829755818770826456641
% SZS output start Proof for 5180829755818770826456641
4. ! [X0] : ((happy(X0) | brave(X0)) <=> (~strong(X0) & ~rich(X0))) [input p3]
8. strong(alice) <=> ? [X0] : calm(X0) [input p7]
17. ? [X0] : (rich(X0) & calm(X0)) [input p16]
25. happy(alice) [input hypothes... | 0 |
If lucy is not happy or not funny then someone is both humble and not creative and vice versa. Everyone who is happy or old is both brave and not old. Everyone who is both not wise and tall is either funny or old and vice versa. Everyone who is both calm and curious is not calm and vice versa. If someone is both old an... | Fred is kind. | contradiction | (((~happy(lucy)|~funny(lucy)))<=>(?[X]:((humble(X)&~creative(X)))))&
(![X]:((happy(X)|old(X))=>(brave(X)&~old(X))))&
(![X]:((~wise(X)&tall(X))<=>(funny(X)<~>old(X))))&
(![X]:((calm(X)&curious(X))<=>~calm(X)))&
((?[X]:((old(X)&~rich(X))))=>((~rich(alice)<~>brave(alice))))&
(((strong(john)<~>~curious(john)))=>(?[X]:(tall... | kind(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3296149624601748856170904
% SZS output start Proof for 3296149624601748856170904
7. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (kind(X0) | wise(X0))) [input p6]
22. kind(fred) [input hypothesis]
46. ! [X0] : (((~creative(X0) & ~kind(X0)) | (~kind(X0) & ~wise(X0))) & ((kind(X0) | wise(X0)) ... | 0 |
Everyone who is both not humble and kind is both curious and not tall and vice versa. If paul is both not curious and not generous then fred is rich or kind and vice versa. Everyone who is either creative or calm is both not wise and not funny and vice versa. If susan is either calm or funny then someone is generous. I... | Lucy is quiet. | neutral | (![X]:((~humble(X)&kind(X))<=>(curious(X)&~tall(X))))&
(((~curious(paul)&~generous(paul)))<=>((rich(fred)|kind(fred))))&
(![X]:((creative(X)<~>calm(X))<=>(~wise(X)&~funny(X))))&
(((calm(susan)<~>funny(susan)))=>(?[X]:(generous(X))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=... | quiet(lucy) | [] | null | 0 |
If john is either not quiet or not tall then someone is both tall and rich. Everyone who is calm or not quiet is either not curious or happy and vice versa. Everyone who is either not curious or brave is not old and vice versa. If someone is calm then someone is not rich or not happy and vice versa. Everyone who is not... | Paul is not funny. | contradiction | (((~quiet(john)<~>~tall(john)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((calm(X)|~quiet(X))<=>(~curious(X)<~>happy(X))))&
(![X]:((~curious(X)<~>brave(X))<=>~old(X)))&
((?[X]:(calm(X)))<=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((~generous(X)|~funny(X))=>(old(X)&curious(X))))&
((?[X]:(~curious(X)))=>(?[X]:((old(X)&~calm(X)))... | ~funny(paul) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2649736232808617064273091
% SZS output start Proof for 2649736232808617064273091
3. ! [X0] : ((~curious(X0) <~> brave(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : ((~funny(X0) | ~generous(X0)) => (curious(X0) & old(X0))) [input p4]
8. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> humble(X0)) [inp... | 0 |
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 both curious and patient is strong or happy and vice versa.
If susan i... | Paul is humble. | contradiction | (![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]:((kind(X)&quiet(X)))))&
((~rich(john))=>(~old(fre... | humble(paul) | [
"p1",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7866542468345376875395750
% SZS output start Proof for 7866542468345376875395750
2. ? [X0] : curious(X0) => (~wise(mary) & ~humble(mary)) [input p1]
7. ! [X0] : (~curious(X0) <=> (wise(X0) & ~quiet(X0))) [input p6]
11. ! [X0] : (humble(X0) <=> (generous(X0) & quiet(X0))) [input p10]
13. !... | 0 |
If someone is humble or not patient then someone is either quiet or wise.
Everyone who is either humble or not quiet is not brave or creative and vice versa.
If fred is not calm or not strong then someone is either wise or not curious and vice versa.
If mary is both brave and not funny then someone is either not patien... | Fred is not strong. | entailment | ((?[X]:((humble(X)|~patient(X))))=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~brave(X)|creative(X))))&
(((~calm(fred)|~strong(fred)))<=>(?[X]:((wise(X)<~>~curious(X)))))&
(((brave(mary)&~funny(mary)))=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((funny(X)|~brave(X))<=>(~patient(X)&~strong(X))))&
(... | ~strong(fred) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 129262170745586783257175
% SZS output start Proof for 129262170745586783257175
5. ! [X0] : ((~brave(X0) | funny(X0)) <=> (~strong(X0) & ~patient(X0))) [input p4]
14. ! [X0] : ((~funny(X0) <~> strong(X0)) <=> brave(X0)) [input p13]
25. strong(fred) [input hypothesis]
50. ! [X0] : (((~brave... | 0 |
If someone is either not wise or not rich then someone is either wise or not calm and vice versa.
If someone is quiet then someone is wise and vice versa.
Everyone who is funny or calm is kind and vice versa.
Everyone who is not patient is either not generous or not patient and vice versa.
If someone is wise then lucy ... | Susan is generous. | entailment | ((?[X]:((~wise(X)<~>~rich(X))))<=>(?[X]:((wise(X)<~>~calm(X)))))&
((?[X]:(quiet(X)))<=>(?[X]:(wise(X))))&
(![X]:((funny(X)|calm(X))<=>kind(X)))&
(![X]:(~patient(X)<=>(~generous(X)<~>~patient(X))))&
((?[X]:(wise(X)))<=>((happy(lucy)|generous(lucy))))&
((?[X]:((~generous(X)<~>wise(X))))<=>(~tall(mary)))&
(![X]:((~quiet(X... | generous(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5461644006432960146121069
% SZS output start Proof for 5461644006432960146121069
4. ! [X0] : (~patient(X0) <=> (~generous(X0) <~> ~patient(X0))) [input p3]
24. ~generous(susan) [input hypothesis]
47. ! [X0] : ((~patient(X0) | ((~generous(X0) | patient(X0)) & (~patient(X0) | generous(X0)))... | 0 |
If someone is both strong and not rich then someone is strong and vice versa. Everyone who is either not generous or kind is funny or not funny and vice versa. If alice is either not strong or not creative then alice is both not humble and happy. If someone is not wise or not curious then someone is both not creative a... | Alice is not kind. | contradiction | ((?[X]:((strong(X)&~rich(X))))<=>(?[X]:(strong(X))))&
(![X]:((~generous(X)<~>kind(X))<=>(funny(X)|~funny(X))))&
(((~strong(alice)<~>~creative(alice)))=>((~humble(alice)&happy(alice))))&
((?[X]:((~wise(X)|~curious(X))))=>(?[X]:((~creative(X)&kind(X)))))&
((?[X]:((~curious(X)|rich(X))))<=>(humble(paul)))&
(((creative(joh... | ~kind(alice) | [
"p1",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 80896260053845358411346
% SZS output start Proof for 80896260053845358411346
2. ! [X0] : ((~generous(X0) <~> kind(X0)) <=> (~funny(X0) | funny(X0))) [input p1]
9. ! [X0] : (generous(X0) => ~happy(X0)) [input p8]
13. ! [X0] : ((funny(X0) | ~happy(X0)) <=> (~happy(X0) <~> ~generous(X0))) [i... | 0 |
Everyone who is either patient or brave is either funny or tall and vice versa.
Everyone who is both patient and strong is both not brave and rich.
If lucy is quiet then someone is not strong and vice versa.
Everyone who is funny or kind is not patient or not quiet and vice versa.
If someone is either humble or rich th... | Fred is not strong. | neutral | (![X]:((patient(X)<~>brave(X))<=>(funny(X)<~>tall(X))))&
(![X]:((patient(X)&strong(X))=>(~brave(X)&rich(X))))&
((quiet(lucy))<=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|kind(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:((humble(X)<~>rich(X))))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:(~calm(X)<=>~tall(X)))&
((?[X]:((patient(X)... | ~strong(fred) | [] | null | 0 |
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice versa.
Everyone who is both not creative and happy is both patient and not generous.
If alice is both brave and not funny then someone is rich and vice versa.
Everyone who is not happy ... | Paul is not strong. | contradiction | (![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(X))))&
(((brave(alice)&~funny(alice)))<=>(?[X]:(rich(X))))&
(![X]:(~happy(X)<=>(~creative(X)<~>quiet(X))))&
(![X]:((funny(X)<~>creative(X))=>(wise(X... | ~strong(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2535782566708627104473545
% SZS output start Proof for 2535782566708627104473545
10. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0))) [input p9]
25. ~strong(paul) [input hypothesis]
59. ! [X0] : ((quiet(X0) | (quiet(X0) & ~strong(X0))) & ((~quiet(X0) | strong(X0)) | ~quiet(X0))) [nnf tr... | 0 |
Everyone who is brave or not generous is not tall or not generous and vice versa.
Everyone who is quiet or not funny is not tall and vice versa.
If someone is both calm and brave then mary is strong or quiet and vice versa.
If fred is brave then someone is not generous or calm.
Everyone who is not humble is either kind... | Fred is brave. | neutral | (![X]:((brave(X)|~generous(X))<=>(~tall(X)|~generous(X))))&
(![X]:((quiet(X)|~funny(X))<=>~tall(X)))&
((?[X]:((calm(X)&brave(X))))<=>((strong(mary)|quiet(mary))))&
((brave(fred))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:(~humble(X)<=>(kind(X)<~>quiet(X))))&
(![X]:(~funny(X)<=>(kind(X)&~old(X))))&
(![X]:((~quiet(X)&gene... | brave(fred) | [] | null | 0 |
If someone is not tall or curious then someone is wise or not funny.
Everyone who is not strong or rich is not creative.
Everyone who is not tall is either quiet or curious.
If alice is not tall then alice is not kind and vice versa.
Everyone who is both humble and not strong is generous or calm and vice versa.
Everyon... | Alice is not calm. | entailment | ((?[X]:((~tall(X)|curious(X))))=>(?[X]:((wise(X)|~funny(X)))))&
(![X]:((~strong(X)|rich(X))=>~creative(X)))&
(![X]:(~tall(X)=>(quiet(X)<~>curious(X))))&
((~tall(alice))<=>(~kind(alice)))&
(![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))&
(![X]:((~old(X)&~generous(X))<=>(happy(X)|~strong(X))))&
((?[X]:((old(X)|~b... | ~calm(alice) | [
"p4",
"p5",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8797795470037453260681788
% SZS output start Proof for 8797795470037453260681788
5. ! [X0] : ((~strong(X0) & humble(X0)) <=> (calm(X0) | generous(X0))) [input p4]
6. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~strong(X0) | happy(X0))) [input p5]
9. ? [X0] : (~wise(X0) & ~generous(X0)) <=> ... | 0 |
Everyone who is either wise or not rich is either happy or patient and vice versa.
If someone is patient or humble then paul is not rich.
Everyone who is either tall or not generous is both strong and not patient and vice versa.
Everyone who is old is both not happy and strong.
If john is both patient and not patient t... | Paul is rich. | contradiction | (![X]:((wise(X)<~>~rich(X))<=>(happy(X)<~>patient(X))))&
((?[X]:((patient(X)|humble(X))))=>(~rich(paul)))&
(![X]:((tall(X)<~>~generous(X))<=>(strong(X)&~patient(X))))&
(![X]:(old(X)=>(~happy(X)&strong(X))))&
(((patient(john)&~patient(john)))<=>(brave(fred)))&
((?[X]:((old(X)|~old(X))))=>((~curious(susan)&~kind(susan)))... | rich(paul) | [
"p1",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3878776144725729383889019
% SZS output start Proof for 3878776144725729383889019
2. ? [X0] : (humble(X0) | patient(X0)) => ~rich(paul) [input p1]
16. (kind(susan) & patient(susan)) <=> ? [X0] : (calm(X0) | brave(X0)) [input p15]
18. ~patient(john) <~> ~brave(john) [input p17]
22. rich(pau... | 0 |
If someone is rich or not brave then someone is curious and vice versa. Everyone who is either not calm or not old is strong. Everyone who is both humble and not kind is kind. Everyone who is both wise and brave is not rich or not patient. If someone is either quiet or tall then john is both curious and tall and vice v... | Lucy is not funny. | contradiction | ((?[X]:((rich(X)|~brave(X))))<=>(?[X]:(curious(X))))&
(![X]:((~calm(X)<~>~old(X))=>strong(X)))&
(![X]:((humble(X)&~kind(X))=>kind(X)))&
(![X]:((wise(X)&brave(X))=>(~rich(X)|~patient(X))))&
((?[X]:((quiet(X)<~>tall(X))))<=>((curious(john)&tall(john))))&
((?[X]:((~strong(X)|kind(X))))=>((~brave(fred)&tall(fred))))&
(((~k... | ~funny(lucy) | [
"p2",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 782132314610494579749214
% SZS output start Proof for 782132314610494579749214
3. ! [X0] : ((~kind(X0) & humble(X0)) => kind(X0)) [input p2]
10. ! [X0] : (~humble(X0) <=> (~wise(X0) | kind(X0))) [input p9]
12. ! [X0] : ((~rich(X0) & ~wise(X0)) <=> (funny(X0) | rich(X0))) [input p11]
16. !... | 0 |
Everyone who is not patient is both not creative and not tall and vice versa.
If someone is happy or calm then someone is both calm and creative and vice versa.
Everyone who is either not strong or kind is not funny or not curious.
If someone is either not generous or curious then john is rich.
Everyone who is either n... | Fred is tall. | neutral | (![X]:(~patient(X)<=>(~creative(X)&~tall(X))))&
((?[X]:((happy(X)|calm(X))))<=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((~strong(X)<~>kind(X))=>(~funny(X)|~curious(X))))&
((?[X]:((~generous(X)<~>curious(X))))=>(rich(john)))&
(![X]:((~humble(X)<~>kind(X))<=>(~creative(X)|old(X))))&
(![X]:((~brave(X)|~curious(X))<=>(calm(... | tall(fred) | [] | null | 0 |
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