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 either not quiet or calm is both not creative and not curious and vice versa.
If fred is tall then someone is either tall or creative and vice versa.
If lucy is not happy then someone is rich.
Everyone who is generous or not rich is either funny or not humble.
Everyone who is creative is either not crea... | Susan is calm. | contradiction | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&~curious(X))))&
((tall(fred))<=>(?[X]:((tall(X)<~>creative(X)))))&
((~happy(lucy))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|~rich(X))=>(funny(X)<~>~humble(X))))&
(![X]:(creative(X)<=>(~creative(X)<~>~calm(X))))&
(((tall(lucy)&~calm(lucy)))=>((~tall(john)<~>quiet(john))))&
((?... | calm(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2994105318277062233425470
% SZS output start Proof for 2994105318277062233425470
5. ! [X0] : (creative(X0) <=> (~creative(X0) <~> ~calm(X0))) [input p4]
25. calm(susan) [input hypothesis]
46. ! [X0] : ((creative(X0) | ((~creative(X0) | calm(X0)) & (~calm(X0) | creative(X0)))) & (((calm(X0... | 0 |
If lucy is either brave or not creative then lucy is both not wise and tall.
If someone is both old and not tall then fred is not strong and vice versa.
Everyone who is either not brave or not humble is both not strong and not calm and vice versa.
Everyone who is not quiet is either strong or old.
Everyone who is eithe... | Fred is generous. | contradiction | (((brave(lucy)<~>~creative(lucy)))=>((~wise(lucy)&tall(lucy))))&
((?[X]:((old(X)&~tall(X))))<=>(~strong(fred)))&
(![X]:((~brave(X)<~>~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>old(X))))&
(![X]:((old(X)<~>~humble(X))=>(~creative(X)|~tall(X))))&
(![X]:(~brave(X)<=>(creative(X)<~>~strong(X))))&
... | generous(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2189112938337066860804947
% SZS output start Proof for 2189112938337066860804947
7. ! [X0] : (generous(X0) => (funny(X0) & ~funny(X0))) [input p6]
25. generous(fred) [input hypothesis]
32. ! [X0] : ((funny(X0) & ~funny(X0)) | ~generous(X0)) [ennf transformation 7]
94. ~funny(X0) | ~genero... | 0 |
If someone is tall or not happy then john is either brave or not tall and vice versa. Everyone who is not kind is both brave and not old and vice versa. Everyone who is either not curious or not calm is strong or kind and vice versa. If someone is tall or kind then someone is not tall. Everyone who is both not humble a... | John is humble. | neutral | ((?[X]:((tall(X)|~happy(X))))<=>((brave(john)<~>~tall(john))))&
(![X]:(~kind(X)<=>(brave(X)&~old(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>(strong(X)|kind(X))))&
((?[X]:((tall(X)|kind(X))))=>(?[X]:(~tall(X))))&
(![X]:((~humble(X)&~curious(X))<=>(~happy(X)<~>~brave(X))))&
(![X]:((old(X)&~old(X))<=>~happy(X)))&
(((~wise(f... | humble(john) | [] | null | 0 |
Everyone who is both brave and not strong is both strong and humble.
If someone is not curious or not patient then paul is both creative and wise and vice versa.
If someone is either old or not quiet then lucy is rich or not strong and vice versa.
If susan is both not strong and not patient then paul is both not curiou... | John is wise. | entailment | (![X]:((brave(X)&~strong(X))=>(strong(X)&humble(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>((creative(paul)&wise(paul))))&
((?[X]:((old(X)<~>~quiet(X))))<=>((rich(lucy)|~strong(lucy))))&
(((~strong(susan)&~patient(susan)))<=>((~curious(paul)&~humble(paul))))&
(((calm(lucy)&~generous(lucy)))=>(?[X]:((strong(X)&curious... | wise(john) | [
"p1",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1736318882684695679462153
% SZS output start Proof for 1736318882684695679462153
2. ? [X0] : (~patient(X0) | ~curious(X0)) <=> (wise(paul) & creative(paul)) [input p1]
9. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> ~patient(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise... | 0 |
Everyone who is creative or brave is either not strong or old and vice versa. If lucy is rich or strong then someone is calm or not funny. Everyone who is both creative and humble is either not kind or not tall. If someone is not curious or creative then susan is both not creative and not quiet and vice versa. If fred ... | Paul is not tall. | contradiction | (![X]:((creative(X)|brave(X))<=>(~strong(X)<~>old(X))))&
(((rich(lucy)|strong(lucy)))=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:((creative(X)&humble(X))=>(~kind(X)<~>~tall(X))))&
((?[X]:((~curious(X)|creative(X))))<=>((~creative(susan)&~quiet(susan))))&
(((~strong(fred)&patient(fred)))=>((~calm(alice)|~strong(alice))))&
((... | ~tall(paul) | [
"p0",
"p2",
"p6",
"p7",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6274515538537607457615012
% SZS output start Proof for 6274515538537607457615012
1. ! [X0] : ((brave(X0) | creative(X0)) <=> (~strong(X0) <~> old(X0))) [input p0]
3. ! [X0] : ((humble(X0) & creative(X0)) => (~kind(X0) <~> ~tall(X0))) [input p2]
7. ! [X0] : ((old(X0) & ~creative(X0)) <=> (... | 0 |
If someone is rich or not generous then lucy is both not patient and not old and vice versa.
Everyone who is wise is either not tall or old and vice versa.
If someone is either funny or humble then fred is either curious or funny.
If lucy is both not happy and old then someone is creative.
Everyone who is not creative ... | Alice is not tall. | entailment | ((?[X]:((rich(X)|~generous(X))))<=>((~patient(lucy)&~old(lucy))))&
(![X]:(wise(X)<=>(~tall(X)<~>old(X))))&
((?[X]:((funny(X)<~>humble(X))))=>((curious(fred)<~>funny(fred))))&
(((~happy(lucy)&old(lucy)))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(funny(X)|~generous(X))))&
(![X]:(~strong(X)<=>(kind(X)<~>strong(X))))&
... | ~tall(alice) | [
"p1",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 250548989426373187998591
% SZS output start Proof for 250548989426373187998591
2. ! [X0] : (wise(X0) <=> (~tall(X0) <~> old(X0))) [input p1]
6. ! [X0] : (~strong(X0) <=> (kind(X0) <~> strong(X0))) [input p5]
12. (~kind(fred) & ~tall(fred)) <=> ? [X0] : (~wise(X0) | ~humble(X0)) [input p11... | 0 |
If someone is patient then someone is either patient or funny.
Everyone who is not funny or not kind is either curious or strong and vice versa.
Everyone who is both quiet and funny is not tall or not rich.
Everyone who is both happy and wise is both kind and humble.
Everyone who is both happy and creative is both not ... | Fred is not generous. | entailment | ((?[X]:(patient(X)))=>(?[X]:((patient(X)<~>funny(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(curious(X)<~>strong(X))))&
(![X]:((quiet(X)&funny(X))=>(~tall(X)|~rich(X))))&
(![X]:((happy(X)&wise(X))=>(kind(X)&humble(X))))&
(![X]:((happy(X)&creative(X))=>(~rich(X)&tall(X))))&
((?[X]:(strong(X)))=>(?[X]:((~kind(X)|~rich(X)))))&... | ~generous(fred) | [
"p3",
"p7",
"p9",
"p10",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8569659042289605531353780
% SZS output start Proof for 8569659042289605531353780
4. ! [X0] : ((wise(X0) & happy(X0)) => (humble(X0) & kind(X0))) [input p3]
8. ! [X0] : ((~creative(X0) & happy(X0)) <=> (calm(X0) | generous(X0))) [input p7]
10. ! [X0] : ((calm(X0) | ~curious(X0)) <=> ~humbl... | 0 |
Everyone who is not curious is kind.
If someone is quiet or not wise then someone is both not calm and creative and vice versa.
If lucy is not kind then susan is either patient or not creative.
If john is either not patient or not creative then alice is both not rich and rich.
If someone is either creative or not creat... | John is old. | contradiction | (![X]:(~curious(X)=>kind(X)))&
((?[X]:((quiet(X)|~wise(X))))<=>(?[X]:((~calm(X)&creative(X)))))&
((~kind(lucy))=>((patient(susan)<~>~creative(susan))))&
(((~patient(john)<~>~creative(john)))=>((~rich(alice)&rich(alice))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(patient(lucy)))&
(![X]:((~patient(X)|~tall(X))=>(~tall(... | old(john) | [
"p8",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7225261609361422435574987
% SZS output start Proof for 7225261609361422435574987
9. ! [X0] : ((~wise(X0) | patient(X0)) <=> ~old(X0)) [input p8]
10. ! [X0] : ((calm(X0) | generous(X0)) <=> (~funny(X0) & wise(X0))) [input p9]
15. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (funny(X0) & ~gene... | 0 |
If mary is brave then lucy is rich. If someone is either not funny or wise then someone is not brave and vice versa. Everyone who is not old is not wise or strong. Everyone who is generous is not creative or strong and vice versa. If susan is both not patient and not creative then someone is either not strong or creati... | John is quiet. | neutral | ((brave(mary))=>(rich(lucy)))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:(~brave(X))))&
(![X]:(~old(X)=>(~wise(X)|strong(X))))&
(![X]:(generous(X)<=>(~creative(X)|strong(X))))&
(((~patient(susan)&~creative(susan)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((funny(X)&rich(X))<=>(~creative(X)<~>curious(X))))&
(![X]:((... | quiet(john) | [] | null | 0 |
Everyone who is either not tall or not happy is both wise and not funny. Everyone who is not kind or kind is both happy and old and vice versa. If someone is either brave or not patient then alice is either not kind or not old. Everyone who is not kind is not humble or not happy. Everyone who is either not happy or hap... | Alice is funny. | entailment | (![X]:((~tall(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
(![X]:((~kind(X)|kind(X))<=>(happy(X)&old(X))))&
((?[X]:((brave(X)<~>~patient(X))))=>((~kind(alice)<~>~old(alice))))&
(![X]:(~kind(X)=>(~humble(X)|~happy(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(~wise(X)&funny(X))))&
((?[X]:(wise(X)))<=>((~quiet(fred)<~>~humble(fred)... | funny(alice) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8462997292047499811274866
% SZS output start Proof for 8462997292047499811274866
2. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (old(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (funny(X0) & ~wise(X0))) [input p4]
22. ~funny(alice) [input hypothesis]
38. ! [X0] : (((k... | 0 |
Everyone who is both not patient and not kind is not tall or not generous.
If someone is either not happy or not patient then someone is both not tall and not rich.
If someone is either rich or not funny then someone is tall or not creative and vice versa.
Everyone who is funny is both humble and creative.
If mary is b... | Susan is funny. | neutral | (![X]:((~patient(X)&~kind(X))=>(~tall(X)|~generous(X))))&
((?[X]:((~happy(X)<~>~patient(X))))=>(?[X]:((~tall(X)&~rich(X)))))&
((?[X]:((rich(X)<~>~funny(X))))<=>(?[X]:((tall(X)|~creative(X)))))&
(![X]:(funny(X)=>(humble(X)&creative(X))))&
(((generous(mary)&~calm(mary)))=>((~strong(lucy)|~old(lucy))))&
(((~kind(fred)&wis... | funny(susan) | [] | null | 0 |
Everyone who is both curious and not curious is both not rich and brave. If john is not old then someone is both rich and not funny and vice versa. If susan is either not wise or funny then someone is either not strong or generous and vice versa. Everyone who is not kind is either not strong or not calm and vice versa.... | John is old. | neutral | (![X]:((curious(X)&~curious(X))=>(~rich(X)&brave(X))))&
((~old(john))<=>(?[X]:((rich(X)&~funny(X)))))&
(((~wise(susan)<~>funny(susan)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(~kind(X)<=>(~strong(X)<~>~calm(X))))&
(![X]:(~calm(X)=>humble(X)))&
(![X]:((~patient(X)&patient(X))<=>~tall(X)))&
(![X]:((patient(X)|happ... | old(john) | [] | null | 0 |
If someone is not rich then lucy is old or happy and vice versa.
Everyone who is not generous is both not brave and not strong.
If someone is brave then someone is either wise or old and vice versa.
Everyone who is kind or not generous is not funny or not humble and vice versa.
Everyone who is not rich is happy.
If som... | Paul is not kind. | contradiction | ((?[X]:(~rich(X)))<=>((old(lucy)|happy(lucy))))&
(![X]:(~generous(X)=>(~brave(X)&~strong(X))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((kind(X)|~generous(X))<=>(~funny(X)|~humble(X))))&
(![X]:(~rich(X)=>happy(X)))&
((?[X]:(~old(X)))<=>(kind(paul)))&
(![X]:(~strong(X)<=>(patient(X)&~old(X))))&
(((~wis... | ~kind(paul) | [
"p0",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2471958928789313024353591
% SZS output start Proof for 2471958928789313024353591
1. ? [X0] : ~rich(X0) <=> (happy(lucy) | old(lucy)) [input p0]
5. ! [X0] : (~rich(X0) => happy(X0)) [input p4]
6. ? [X0] : ~old(X0) <=> kind(paul) [input p5]
13. ! [X0] : (happy(X0) => rich(X0)) [input p12]
2... | 0 |
If john is humble then paul is either not creative or brave and vice versa.
Everyone who is not creative is not curious and vice versa.
If alice is humble or not quiet then someone is kind.
Everyone who is patient or strong is either rich or funny.
Everyone who is both happy and not happy is not generous or tall.
Every... | Lucy is not curious. | contradiction | ((humble(john))<=>((~creative(paul)<~>brave(paul))))&
(![X]:(~creative(X)<=>~curious(X)))&
(((humble(alice)|~quiet(alice)))=>(?[X]:(kind(X))))&
(![X]:((patient(X)|strong(X))=>(rich(X)<~>funny(X))))&
(![X]:((happy(X)&~happy(X))=>(~generous(X)|tall(X))))&
(![X]:((~patient(X)|patient(X))=>(~rich(X)&~kind(X))))&
(((old(fre... | ~curious(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 90280671917415023224280
% SZS output start Proof for 90280671917415023224280
6. ! [X0] : ((patient(X0) | ~patient(X0)) => (~kind(X0) & ~rich(X0))) [input p5]
16. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (kind(X0) & humble(X0))) [input p15]
22. ~curious(lucy) [input hypothesis]
28. ! [X0] :... | 0 |
Everyone who is either not humble or quiet is patient and vice versa.
Everyone who is both calm and not curious is either rich or tall and vice versa.
If alice is calm or not happy then mary is both not old and brave and vice versa.
If mary is both not calm and not kind then fred is not rich.
If alice is either not qui... | John is brave. | neutral | (![X]:((~humble(X)<~>quiet(X))<=>patient(X)))&
(![X]:((calm(X)&~curious(X))<=>(rich(X)<~>tall(X))))&
(((calm(alice)|~happy(alice)))<=>((~old(mary)&brave(mary))))&
(((~calm(mary)&~kind(mary)))=>(~rich(fred)))&
(((~quiet(alice)<~>~generous(alice)))=>((quiet(susan)|~old(susan))))&
(((tall(lucy)&generous(lucy)))=>(?[X]:(ge... | brave(john) | [] | null | 0 |
Everyone who is either creative or not humble is either strong or not tall.
Everyone who is not quiet is either old or kind and vice versa.
If someone is both rich and not old then alice is strong or tall and vice versa.
If mary is not brave then someone is happy or not tall and vice versa.
If someone is happy then som... | Fred is strong. | entailment | (![X]:((creative(X)<~>~humble(X))=>(strong(X)<~>~tall(X))))&
(![X]:(~quiet(X)<=>(old(X)<~>kind(X))))&
((?[X]:((rich(X)&~old(X))))<=>((strong(alice)|tall(alice))))&
((~brave(mary))<=>(?[X]:((happy(X)|~tall(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~wise(X)|humble(X))<=>(quiet(X)&humble(X))))&
... | strong(fred) | [
"p5",
"p6",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 279964563215845786120352
% SZS output start Proof for 279964563215845786120352
6. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (humble(X0) & quiet(X0))) [input p5]
7. ! [X0] : ((generous(X0) | humble(X0)) <=> (~strong(X0) <~> generous(X0))) [input p6]
11. ! [X0] : ((~quiet(X0) | happy(X0)) => (... | 0 |
If fred is either old or not rich then alice is brave or not curious.
Everyone who is either strong or not humble is not creative or strong.
Everyone who is either quiet or not brave is not brave or not tall.
If mary is either curious or not generous then paul is either not generous or not wise.
Everyone who is not fun... | John is not humble. | neutral | (((old(fred)<~>~rich(fred)))=>((brave(alice)|~curious(alice))))&
(![X]:((strong(X)<~>~humble(X))=>(~creative(X)|strong(X))))&
(![X]:((quiet(X)<~>~brave(X))=>(~brave(X)|~tall(X))))&
(((curious(mary)<~>~generous(mary)))=>((~generous(paul)<~>~wise(paul))))&
(![X]:((~funny(X)|~happy(X))=>generous(X)))&
(![X]:((funny(X)<~>~... | ~humble(john) | [] | null | 0 |
If susan is either not rich or wise then someone is either quiet or not calm. If mary is calm then someone is happy or rich and vice versa. If john is either brave or old then someone is either old or not curious and vice versa. Everyone who is old or not brave is both not patient and curious. If someone is not creativ... | Mary is tall. | contradiction | (((~rich(susan)<~>wise(susan)))=>(?[X]:((quiet(X)<~>~calm(X)))))&
((calm(mary))<=>(?[X]:((happy(X)|rich(X)))))&
(((brave(john)<~>old(john)))<=>(?[X]:((old(X)<~>~curious(X)))))&
(![X]:((old(X)|~brave(X))=>(~patient(X)&curious(X))))&
((?[X]:((~creative(X)|calm(X))))=>(?[X]:((strong(X)&~creative(X)))))&
(![X]:((~tall(X)|f... | tall(mary) | [
"p1",
"p3",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7417556527986116753305814
% SZS output start Proof for 7417556527986116753305814
2. calm(mary) <=> ? [X0] : (rich(X0) | happy(X0)) [input p1]
4. ! [X0] : ((~brave(X0) | old(X0)) => (curious(X0) & ~patient(X0))) [input p3]
9. ! [X0] : (calm(X0) <=> (patient(X0) & old(X0))) [input p8]
11. !... | 0 |
Everyone who is not funny or not calm is either not rich or not calm.
Everyone who is both not patient and not funny is either not tall or not happy.
If someone is both happy and not patient then lucy is either not quiet or brave and vice versa.
Everyone who is generous is generous or quiet and vice versa.
If paul is b... | Fred is not generous. | contradiction | (![X]:((~funny(X)|~calm(X))=>(~rich(X)<~>~calm(X))))&
(![X]:((~patient(X)&~funny(X))=>(~tall(X)<~>~happy(X))))&
((?[X]:((happy(X)&~patient(X))))<=>((~quiet(lucy)<~>brave(lucy))))&
(![X]:(generous(X)<=>(generous(X)|quiet(X))))&
(((~old(paul)&old(paul)))<=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((rich(X)|~patient(X))<=>(o... | ~generous(fred) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4514630124294601087379677
% SZS output start Proof for 4514630124294601087379677
4. ! [X0] : (generous(X0) <=> (quiet(X0) | generous(X0))) [input p3]
15. ~wise(fred) & quiet(fred) [input p14]
20. ~generous(fred) [input hypothesis]
22. quiet(fred) [pure predicate removal 15]
39. ! [X0] : (... | 0 |
Everyone who is both wise and not wise is both generous and not calm and vice versa.
If someone is not tall then someone is either calm or not generous and vice versa.
Everyone who is either not creative or rich is brave and vice versa.
Everyone who is both funny and curious is both not rich and funny.
Everyone who is ... | Alice is wise. | entailment | (![X]:((wise(X)&~wise(X))<=>(generous(X)&~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>brave(X)))&
(![X]:((funny(X)&curious(X))=>(~rich(X)&funny(X))))&
(![X]:(brave(X)<=>(~patient(X)|brave(X))))&
(((~humble(alice)|wise(alice)))<=>(?[X]:((patient(X)|~old(X)))))&
... | wise(alice) | [
"p2",
"p5",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8085357031106825738267420
% SZS output start Proof for 8085357031106825738267420
3. ! [X0] : ((~creative(X0) <~> rich(X0)) <=> brave(X0)) [input p2]
6. (wise(alice) | ~humble(alice)) <=> ? [X0] : (~old(X0) | patient(X0)) [input p5]
9. ? [X0] : (creative(X0) <~> ~brave(X0)) => ? [X0] : cre... | 0 |
If someone is old or generous then someone is not funny or funny.
Everyone who is quiet is not brave or calm.
If mary is either wise or not calm then someone is either humble or creative.
Everyone who is not brave or generous is both not humble and not curious.
Everyone who is both curious and not patient is not wise o... | Paul is humble. | neutral | ((?[X]:((old(X)|generous(X))))=>(?[X]:((~funny(X)|funny(X)))))&
(![X]:(quiet(X)=>(~brave(X)|calm(X))))&
(((wise(mary)<~>~calm(mary)))=>(?[X]:((humble(X)<~>creative(X)))))&
(![X]:((~brave(X)|generous(X))=>(~humble(X)&~curious(X))))&
(![X]:((curious(X)&~patient(X))<=>(~wise(X)|~brave(X))))&
(![X]:((~tall(X)<~>strong(X))=... | humble(paul) | [] | null | 0 |
If susan is both not wise and quiet then someone is both not humble and creative.
Everyone who is either not humble or not wise is quiet or kind and vice versa.
If fred is not funny or curious then john is both not curious and quiet.
Everyone who is calm is brave or happy and vice versa.
Everyone who is not happy or cr... | Lucy is rich. | entailment | (((~wise(susan)&quiet(susan)))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~humble(X)<~>~wise(X))<=>(quiet(X)|kind(X))))&
(((~funny(fred)|curious(fred)))=>((~curious(john)&quiet(john))))&
(![X]:(calm(X)<=>(brave(X)|happy(X))))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)|~wise(X))<=>... | rich(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1020794518266439806593490
% SZS output start Proof for 1020794518266439806593490
3. (curious(fred) | ~funny(fred)) => (quiet(john) & ~curious(john)) [input p2]
4. ! [X0] : (calm(X0) <=> (happy(X0) | brave(X0))) [input p3]
5. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (funny(X0) <~> creativ... | 0 |
If someone is generous or not kind then mary is either not curious or not patient and vice versa. Everyone who is either not brave or not patient is both wise and not strong and vice versa. If someone is brave then someone is both wise and not brave and vice versa. Everyone who is not patient is both not old and tall a... | John is not quiet. | neutral | ((?[X]:((generous(X)|~kind(X))))<=>((~curious(mary)<~>~patient(mary))))&
(![X]:((~brave(X)<~>~patient(X))<=>(wise(X)&~strong(X))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~patient(X)<=>(~old(X)&tall(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~old(X)|~wise(X))))&
(((generous(john)&strong(john)))<=>(?[X]:... | ~quiet(john) | [] | null | 0 |
If someone is both rich and quiet then paul is either not patient or not brave and vice versa.
Everyone who is not curious or wise is either not creative or not rich and vice versa.
Everyone who is not humble or not happy is both old and not calm.
If alice is either not brave or old then lucy is rich.
Everyone who is g... | Lucy is brave. | contradiction | ((?[X]:((rich(X)&quiet(X))))<=>((~patient(paul)<~>~brave(paul))))&
(![X]:((~curious(X)|wise(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(old(X)&~calm(X))))&
(((~brave(alice)<~>old(alice)))=>(rich(lucy)))&
(![X]:(generous(X)<=>(~rich(X)&~happy(X))))&
(![X]:((brave(X)|~generous(X))<=>(humble(X)&pati... | brave(lucy) | [
"p5",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 174930846675940647107747
% SZS output start Proof for 174930846675940647107747
6. ! [X0] : ((~generous(X0) | brave(X0)) <=> (patient(X0) & humble(X0))) [input p5]
9. (~humble(lucy) | kind(lucy)) <=> (~curious(lucy) <~> ~happy(lucy)) [input p8]
10. ! [X0] : ((brave(X0) | curious(X0)) <=> (... | 0 |
If someone is both old and not patient then someone is not creative or not brave and vice versa.
Everyone who is not brave is both not happy and not patient.
If fred is brave or funny then mary is not wise.
If someone is not patient or not strong then alice is both generous and not kind and vice versa.
Everyone who is ... | Lucy is not wise. | contradiction | ((?[X]:((old(X)&~patient(X))))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(~brave(X)=>(~happy(X)&~patient(X))))&
(((brave(fred)|funny(fred)))=>(~wise(mary)))&
((?[X]:((~patient(X)|~strong(X))))<=>((generous(alice)&~kind(alice))))&
(![X]:((brave(X)|kind(X))<=>~patient(X)))&
(![X]:((~tall(X)<~>strong(X))=>(creative(X)|h... | ~wise(lucy) | [
"p1",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8167809700973694494695850
% SZS output start Proof for 8167809700973694494695850
2. ! [X0] : (~brave(X0) => (~patient(X0) & ~happy(X0))) [input p1]
5. ! [X0] : ((kind(X0) | brave(X0)) <=> ~patient(X0)) [input p4]
7. ! [X0] : (~patient(X0) => (~curious(X0) & wise(X0))) [input p6]
23. ~wise... | 0 |
Everyone who is both not generous and funny is both wise and not humble and vice versa.
If lucy is both happy and not generous then alice is funny.
Everyone who is not tall is either curious or creative and vice versa.
If mary is tall or not funny then someone is funny or happy.
Everyone who is generous or strong is ei... | Alice is old. | contradiction | (![X]:((~generous(X)&funny(X))<=>(wise(X)&~humble(X))))&
(((happy(lucy)&~generous(lucy)))=>(funny(alice)))&
(![X]:(~tall(X)<=>(curious(X)<~>creative(X))))&
(((tall(mary)|~funny(mary)))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((generous(X)|strong(X))<=>(~quiet(X)<~>creative(X))))&
(![X]:((creative(X)&calm(X))<=>old(X)))&
... | old(alice) | [
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3433311623803841983852477
% SZS output start Proof for 3433311623803841983852477
6. ! [X0] : ((calm(X0) & creative(X0)) <=> old(X0)) [input p5]
9. ! [X0] : ((tall(X0) | humble(X0)) => happy(X0)) [input p8]
10. ! [X0] : (~tall(X0) <=> happy(X0)) [input p9]
12. ! [X0] : ((~rich(X0) & ~calm(... | 0 |
Everyone who is either not tall or not rich is either brave or not kind and vice versa.
If lucy is creative then someone is both not tall and not humble.
Everyone who is not tall is humble or tall.
If someone is either not calm or not brave then mary is not brave.
Everyone who is tall is both not happy and generous and... | Fred is curious. | contradiction | (![X]:((~tall(X)<~>~rich(X))<=>(brave(X)<~>~kind(X))))&
((creative(lucy))=>(?[X]:((~tall(X)&~humble(X)))))&
(![X]:(~tall(X)=>(humble(X)|tall(X))))&
((?[X]:((~calm(X)<~>~brave(X))))=>(~brave(mary)))&
(![X]:(tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:(~kind(X)))=>((wise(fred)|~creative(fred))))&
(![X]:((~creative(X)<~>s... | curious(fred) | [
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 633853287363655421382545
% SZS output start Proof for 633853287363655421382545
9. ! [X0] : ((~tall(X0) | ~wise(X0)) => (~creative(X0) & ~curious(X0))) [input p8]
11. ? [X0] : (tall(X0) <~> ~quiet(X0)) <=> creative(susan) [input p10]
12. ! [X0] : ((creative(X0) | ~patient(X0)) <=> ~quiet(X... | 0 |
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 and vice versa.
If someone is brave or not humble then alice is either not old or not happy.
If mary is strong then someone is brave... | John is creative. | neutral | (![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(mary))<=>(?[X]:((brave(X)|~old(X)))))&
(((~generous(paul)|humble(paul)))=>((~generous(alice)|~hap... | creative(john) | [] | null | 0 |
If paul is both not wise and old then paul is quiet or not patient.
Everyone who is not wise is not rich or humble.
If lucy is both creative and not kind then paul is both not tall and not humble.
Everyone who is not humble is both not creative and patient and vice versa.
Everyone who is both happy and curious is not c... | Paul is curious. | entailment | (((~wise(paul)&old(paul)))=>((quiet(paul)|~patient(paul))))&
(![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(((creative(lucy)&~kind(lucy)))=>((~tall(paul)&~humble(paul))))&
(![X]:(~humble(X)<=>(~creative(X)&patient(X))))&
(![X]:((happy(X)&curious(X))<=>(~creative(X)|~patient(X))))&
((?[X]:((curious(X)&~humble(X))))<=>(?[X]:(... | curious(paul) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5441532460823272225828387
% SZS output start Proof for 5441532460823272225828387
5. ! [X0] : ((curious(X0) & happy(X0)) <=> (~patient(X0) | ~creative(X0))) [input p4]
22. creative(paul) <~> patient(paul) [input p21]
24. ~curious(paul) [input hypothesis]
46. ! [X0] : (((curious(X0) & happy... | 0 |
Everyone who is both not patient and curious is not curious or creative and vice versa.
If someone is both not brave and calm then john is happy and vice versa.
Everyone who is not creative or not tall is either not humble or happy and vice versa.
If someone is not quiet or tall then someone is old or strong.
If someon... | John is not humble. | entailment | (![X]:((~patient(X)&curious(X))<=>(~curious(X)|creative(X))))&
((?[X]:((~brave(X)&calm(X))))<=>(happy(john)))&
(![X]:((~creative(X)|~tall(X))<=>(~humble(X)<~>happy(X))))&
((?[X]:((~quiet(X)|tall(X))))=>(?[X]:((old(X)|strong(X)))))&
((?[X]:((~curious(X)<~>~generous(X))))=>((calm(paul)<~>~old(paul))))&
(![X]:((calm(X)<~>... | ~humble(john) | [
"p0",
"p1",
"p2",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 726812876686807892275828
% SZS output start Proof for 726812876686807892275828
1. ! [X0] : ((curious(X0) & ~patient(X0)) <=> (creative(X0) | ~curious(X0))) [input p0]
2. ? [X0] : (calm(X0) & ~brave(X0)) <=> happy(john) [input p1]
3. ! [X0] : ((~tall(X0) | ~creative(X0)) <=> (~humble(X0) <... | 0 |
Everyone who is not wise is both not kind and not rich and vice versa.
Everyone who is wise or old is not old.
Everyone who is patient or rich is either rich or not strong and vice versa.
Everyone who is not generous or not curious is not funny and vice versa.
If someone is not generous or not strong then susan is both... | Fred is curious. | entailment | (![X]:(~wise(X)<=>(~kind(X)&~rich(X))))&
(![X]:((wise(X)|old(X))=>~old(X)))&
(![X]:((patient(X)|rich(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((~generous(X)|~curious(X))<=>~funny(X)))&
((?[X]:((~generous(X)|~strong(X))))=>((~kind(susan)&rich(susan))))&
(![X]:((brave(X)|~wise(X))<=>wise(X)))&
(![X]:(~curious(X)=>(old(X)<~>... | curious(fred) | [
"p0",
"p2",
"p3",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 629751007734459413121280
% SZS output start Proof for 629751007734459413121280
1. ! [X0] : (~wise(X0) <=> (~rich(X0) & ~kind(X0))) [input p0]
3. ! [X0] : ((rich(X0) | patient(X0)) <=> (rich(X0) <~> ~strong(X0))) [input p2]
4. ! [X0] : ((~curious(X0) | ~generous(X0)) <=> ~funny(X0)) [input... | 0 |
If paul is not tall or wise then someone is not generous or wise and vice versa.
Everyone who is either not generous or not kind is not kind and vice versa.
Everyone who is old or not old is brave.
Everyone who is not patient is not quiet.
If someone is humble then alice is either calm or not old.
If someone is not ric... | Mary is not rich. | contradiction | (((~tall(paul)|wise(paul)))<=>(?[X]:((~generous(X)|wise(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>~kind(X)))&
(![X]:((old(X)|~old(X))=>brave(X)))&
(![X]:(~patient(X)=>~quiet(X)))&
((?[X]:(humble(X)))=>((calm(alice)<~>~old(alice))))&
((?[X]:(~rich(X)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((~kind(X)&calm(X))=>(~ric... | ~rich(mary) | [
"p2",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5391883787301137997849033
% SZS output start Proof for 5391883787301137997849033
3. ! [X0] : ((~old(X0) | old(X0)) => brave(X0)) [input p2]
10. ! [X0] : (~humble(X0) => (strong(X0) & ~curious(X0))) [input p9]
11. ! [X0] : (~humble(X0) <=> ~rich(X0)) [input p10]
12. ! [X0] : (brave(X0) => ... | 0 |
Everyone who is quiet is both not kind and creative and vice versa.
If someone is wise or rich then mary is both strong and tall.
Everyone who is either not rich or not curious is wise or patient.
If someone is generous or not rich then john is not brave and vice versa.
Everyone who is not kind is either strong or not ... | Susan is not patient. | neutral | (![X]:(quiet(X)<=>(~kind(X)&creative(X))))&
((?[X]:((wise(X)|rich(X))))=>((strong(mary)&tall(mary))))&
(![X]:((~rich(X)<~>~curious(X))=>(wise(X)|patient(X))))&
((?[X]:((generous(X)|~rich(X))))<=>(~brave(john)))&
(![X]:(~kind(X)<=>(strong(X)<~>~kind(X))))&
((?[X]:((humble(X)|~kind(X))))<=>(?[X]:((patient(X)<~>~old(X))))... | ~patient(susan) | [] | null | 0 |
Everyone who is either brave or not calm is both old and wise. Everyone who is brave or not kind is brave and vice versa. If susan is either strong or happy then paul is either patient or not tall and vice versa. Everyone who is brave is either tall or not brave and vice versa. Everyone who is either not humble or not ... | Susan is happy. | neutral | (![X]:((brave(X)<~>~calm(X))=>(old(X)&wise(X))))&
(![X]:((brave(X)|~kind(X))<=>brave(X)))&
(((strong(susan)<~>happy(susan)))<=>((patient(paul)<~>~tall(paul))))&
(![X]:(brave(X)<=>(tall(X)<~>~brave(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(tall(X)&old(X))))&
(![X]:((patient(X)&calm(X))=>(humble(X)|~happy(X))))&
((?[X]:(~c... | happy(susan) | [] | null | 0 |
Everyone who is not tall or not brave is not old. Everyone who is both not brave and patient is not quiet and vice versa. Everyone who is both not tall and happy is both rich and tall. If someone is both not happy and old then someone is either humble or generous. If someone is curious or rich then someone is both rich... | John is happy. | neutral | (![X]:((~tall(X)|~brave(X))=>~old(X)))&
(![X]:((~brave(X)&patient(X))<=>~quiet(X)))&
(![X]:((~tall(X)&happy(X))=>(rich(X)&tall(X))))&
((?[X]:((~happy(X)&old(X))))=>(?[X]:((humble(X)<~>generous(X)))))&
((?[X]:((curious(X)|rich(X))))<=>(?[X]:((rich(X)&~generous(X)))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:(curious(X)... | happy(john) | [] | null | 0 |
Everyone who is not strong is either not humble or brave and vice versa. Everyone who is not brave or quiet is not old or patient and vice versa. Everyone who is either not funny or not rich is wise or not rich. Everyone who is not calm is creative or calm. Everyone who is either not strong or quiet is either not wise ... | Alice is not creative. | contradiction | (![X]:(~strong(X)<=>(~humble(X)<~>brave(X))))&
(![X]:((~brave(X)|quiet(X))<=>(~old(X)|patient(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(wise(X)|~rich(X))))&
(![X]:(~calm(X)=>(creative(X)|calm(X))))&
(![X]:((~strong(X)<~>quiet(X))=>(~wise(X)<~>calm(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>(patient(alice)))&
(![X]:((~stro... | ~creative(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6907480452445318726811646
% SZS output start Proof for 6907480452445318726811646
7. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (creative(X0) & brave(X0))) [input p6]
25. ~creative(alice) [input hypothesis]
49. ! [X0] : ((((~strong(X0) | strong(X0)) & (strong(X0) | ~strong(X0))) | (~creati... | 0 |
If paul is both patient and not creative then alice is either rich or patient. Everyone who is calm or not brave is either not tall or not wise. Everyone who is strong is either not old or not patient. Everyone who is either calm or not curious is either curious or not rich. If someone is either not funny or funny then... | Susan is humble. | contradiction | (((patient(paul)&~creative(paul)))=>((rich(alice)<~>patient(alice))))&
(![X]:((calm(X)|~brave(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(strong(X)=>(~old(X)<~>~patient(X))))&
(![X]:((calm(X)<~>~curious(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~gen... | humble(susan) | [
"p5",
"p8",
"p10",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3108542245311264828954266
% SZS output start Proof for 3108542245311264828954266
6. ? [X0] : (~generous(X0) & generous(X0)) <=> ? [X0] : kind(X0) [input p5]
9. tall(susan) <=> ? [X0] : (~happy(X0) | ~brave(X0)) [input p8]
11. ! [X0] : ((funny(X0) & rich(X0)) <=> ~happy(X0)) [input p10]
13... | 0 |
If john is curious then paul is rich or not strong and vice versa.
If someone is not brave then someone is either not humble or happy.
Everyone who is happy is wise and vice versa.
Everyone who is either not creative or old is both not rich and tall.
Everyone who is not kind is quiet or not old and vice versa.
If susan... | John is not rich. | contradiction | ((curious(john))<=>((rich(paul)|~strong(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((~creative(X)<~>old(X))=>(~rich(X)&tall(X))))&
(![X]:(~kind(X)<=>(quiet(X)|~old(X))))&
(((~patient(susan)&~creative(susan)))<=>(old(john)))&
(![X]:((~wise(X)&wise(X))<=>(~funny(X... | ~rich(john) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 291841433368876496939660
% SZS output start Proof for 291841433368876496939660
5. ! [X0] : (~kind(X0) <=> (~old(X0) | quiet(X0))) [input p4]
7. ! [X0] : ((wise(X0) & ~wise(X0)) <=> (generous(X0) & ~funny(X0))) [input p6]
8. ~old(susan) <=> ? [X0] : (happy(X0) <~> ~happy(X0)) [input p7]
10... | 0 |
If someone is funny or strong then someone is not humble or humble and vice versa.
If someone is wise or humble then someone is both not strong and patient and vice versa.
Everyone who is both quiet and calm is either curious or patient and vice versa.
Everyone who is either patient or wise is not funny.
Everyone who i... | Mary is not quiet. | entailment | ((?[X]:((funny(X)|strong(X))))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:((wise(X)|humble(X))))<=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((quiet(X)&calm(X))<=>(curious(X)<~>patient(X))))&
(![X]:((patient(X)<~>wise(X))=>~funny(X)))&
(![X]:(quiet(X)=>(curious(X)&~curious(X))))&
(![X]:((~brave(X)&~generous(X))<=>(stron... | ~quiet(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7447412850906298966887506
% SZS output start Proof for 7447412850906298966887506
5. ! [X0] : (quiet(X0) => (~curious(X0) & curious(X0))) [input p4]
24. quiet(mary) [input hypothesis]
34. ! [X0] : ((~curious(X0) & curious(X0)) | ~quiet(X0)) [ennf transformation 5]
101. curious(X0) | ~quiet... | 0 |
If paul is tall then john is not old or kind and vice versa.
Everyone who is rich is patient or not patient and vice versa.
Everyone who is either rich or not calm is both happy and calm.
If someone is both not happy and tall then someone is either tall or not old.
If mary is not creative then someone is not patient an... | Susan is not happy. | contradiction | ((tall(paul))<=>((~old(john)|kind(john))))&
(![X]:(rich(X)<=>(patient(X)|~patient(X))))&
(![X]:((rich(X)<~>~calm(X))=>(happy(X)&calm(X))))&
((?[X]:((~happy(X)&tall(X))))=>(?[X]:((tall(X)<~>~old(X)))))&
((~creative(mary))<=>(?[X]:(~patient(X))))&
(((~calm(john)<~>~rich(john)))<=>((~calm(mary)|~strong(mary))))&
(![X]:(~h... | ~happy(susan) | [
"p1",
"p2",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8347446819382379486934618
% SZS output start Proof for 8347446819382379486934618
2. ! [X0] : (rich(X0) <=> (~patient(X0) | patient(X0))) [input p1]
3. ! [X0] : ((rich(X0) <~> ~calm(X0)) => (calm(X0) & happy(X0))) [input p2]
13. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (kind(X0) <~> rich... | 0 |
Everyone who is both wise and quiet is either not kind or not old and vice versa. Everyone who is not generous or not creative is both funny and not strong. Everyone who is both not brave and funny is both strong and not kind. Everyone who is not strong or not patient is both not creative and kind and vice versa. If so... | Alice is patient. | contradiction | (![X]:((wise(X)&quiet(X))<=>(~kind(X)<~>~old(X))))&
(![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X)&funny(X))=>(strong(X)&~kind(X))))&
(![X]:((~strong(X)|~patient(X))<=>(~creative(X)&kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(humble(X))))&
(((kind(paul)<~>rich(paul)))<=>(?[X]:(brave(X))))... | patient(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8780325845519155812411711
% SZS output start Proof for 8780325845519155812411711
19. ~patient(alice) & quiet(alice) [input p18]
25. patient(alice) [input hypothesis]
144. ~patient(alice) [cnf transformation 19]
152. patient(alice) [cnf transformation 25]
292. 29 <=> patient(alice) [avatar... | 0 |
If someone is not patient or brave then someone is both happy and not happy. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who is happy or not funny is not tall or not humble and vice versa. If someone is rich then someone is not funny.... | Paul is not quiet. | entailment | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~... | ~quiet(paul) | [
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8217901566520611575144130
% SZS output start Proof for 8217901566520611575144130
6. (~quiet(paul) & curious(paul)) <=> ? [X0] : (rich(X0) | ~wise(X0)) [input p5]
18. rich(john) & wise(john) [input p17]
22. quiet(paul) [input hypothesis]
48. ((~quiet(paul) & curious(paul)) | ! [X0] : (~ric... | 0 |
If fred is either tall or humble then someone is either not strong or not brave.
Everyone who is both quiet and strong is both not brave and rich and vice versa.
If lucy is old then someone is curious or tall.
Everyone who is not funny is not rich or not funny and vice versa.
If paul is not curious then susan is wise.
... | Susan is humble. | contradiction | (((tall(fred)<~>humble(fred)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((quiet(X)&strong(X))<=>(~brave(X)&rich(X))))&
((old(lucy))=>(?[X]:((curious(X)|tall(X)))))&
(![X]:(~funny(X)<=>(~rich(X)|~funny(X))))&
((~curious(paul))=>(wise(susan)))&
(![X]:((creative(X)&~old(X))=>calm(X)))&
(((~generous(lucy)<~>strong(lucy))... | humble(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2825748390247814296651357
% SZS output start Proof for 2825748390247814296651357
16. old(susan) & ~humble(susan) [input p15]
22. humble(susan) [input hypothesis]
105. ~humble(susan) [cnf transformation 16]
114. humble(susan) [cnf transformation 22]
197. $false [subsumption resolution 114,... | 0 |
If mary is not happy then someone is both not old and funny and vice versa.
If someone is both not tall and not old then lucy is not curious or not patient.
Everyone who is not wise is either wise or not kind.
Everyone who is not quiet is either quiet or not humble.
Everyone who is either quiet or not humble is not pat... | Fred is not patient. | neutral | ((~happy(mary))<=>(?[X]:((~old(X)&funny(X)))))&
((?[X]:((~tall(X)&~old(X))))=>((~curious(lucy)|~patient(lucy))))&
(![X]:(~wise(X)=>(wise(X)<~>~kind(X))))&
(![X]:(~quiet(X)=>(quiet(X)<~>~humble(X))))&
(![X]:((quiet(X)<~>~humble(X))=>~patient(X)))&
(![X]:((~calm(X)<~>~funny(X))<=>brave(X)))&
(((~brave(fred)&old(fred)))<=... | ~patient(fred) | [] | null | 0 |
If paul is quiet then someone is patient or not strong and vice versa.
If someone is both not brave and kind then someone is both old and not humble and vice versa.
Everyone who is not old or tall is not tall or not old and vice versa.
If someone is not quiet or not old then john is either wise or not tall and vice ver... | Lucy is not happy. | entailment | ((quiet(paul))<=>(?[X]:((patient(X)|~strong(X)))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((old(X)&~humble(X)))))&
(![X]:((~old(X)|tall(X))<=>(~tall(X)|~old(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((wise(john)<~>~tall(john))))&
((?[X]:((brave(X)&~happy(X))))=>((~strong(fred)<~>~old(fred))))&
((?[X]:((~calm(X)&~funny(X))... | ~happy(lucy) | [
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 330315790585118713686789
% SZS output start Proof for 330315790585118713686789
3. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~old(X0) | ~tall(X0))) [input p2]
11. (~happy(lucy) & curious(lucy)) <=> ? [X0] : ~humble(X0) [input p10]
12. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (old(X0) <~> ~humble(... | 0 |
Everyone who is either not curious or patient is not creative or not tall.
If mary is either wise or not creative then john is not humble or happy.
If susan is either not humble or not brave then someone is creative or humble.
Everyone who is quiet or humble is either not calm or not strong.
Everyone who is not brave i... | John is happy. | neutral | (![X]:((~curious(X)<~>patient(X))=>(~creative(X)|~tall(X))))&
(((wise(mary)<~>~creative(mary)))=>((~humble(john)|happy(john))))&
(((~humble(susan)<~>~brave(susan)))=>(?[X]:((creative(X)|humble(X)))))&
(![X]:((quiet(X)|humble(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(~brave(X)<=>(brave(X)|~funny(X))))&
(![X]:(~old(X)<=>(cu... | happy(john) | [] | null | 0 |
If someone is both brave and happy then susan is kind or not humble.
Everyone who is both creative and not generous is generous.
Everyone who is both tall and wise is both not creative and generous.
Everyone who is funny or not generous is both calm and creative.
If someone is generous then lucy is either patient or cr... | Fred is funny. | contradiction | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:(generous(X)))=>((patient(lucy)<~>creative(lucy))))&
(![X]:(humble(X)=>(brave(X)&~curi... | funny(fred) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4905864645938248023174968
% SZS output start Proof for 4905864645938248023174968
2. ! [X0] : ((~generous(X0) & creative(X0)) => generous(X0)) [input p1]
3. ! [X0] : ((wise(X0) & tall(X0)) => (generous(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | funny(X0)) => (creative(X... | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa.
If someone is rich then someone is wise or not funny and vice versa.
If someone is not creative then paul is generous or not happy and vice versa.
Everyone who is humble is strong.
If lucy is either not brave or patient then someone i... | John is not kind. | neutral | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:(rich(X)))<=>(?[X]:((wise(X)|~funny(X)))))&
((?[X]:(~creative(X)))<=>((generous(paul)|~happy(paul))))&
(![X]:(humble(X)=>strong(X)))&
(((~brave(lucy)<~>patient(lucy)))<=>(?[X]:((~kind(X)&quiet(X)))))&
((?[X]:(~generous(X)))=>((happy(fred)&~tall(fred))))&
(![X]:... | ~kind(john) | [] | null | 0 |
Everyone who is both not generous and not funny is both creative and strong.
Everyone who is both not generous and not patient is either old or generous and vice versa.
Everyone who is either not old or happy is either curious or not humble and vice versa.
Everyone who is happy or not strong is not happy or calm.
Every... | John is not old. | contradiction | (![X]:((~generous(X)&~funny(X))=>(creative(X)&strong(X))))&
(![X]:((~generous(X)&~patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((happy(X)|~strong(X))=>(~happy(X)|calm(X))))&
(![X]:((wise(X)<~>~creative(X))=>(~brave(X)<~>funny(X))))&
((?[X]:(quiet(X)))=>(?[X]:(... | ~old(john) | [
"p1",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8849215590815682616170542
% SZS output start Proof for 8849215590815682616170542
2. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (old(X0) <~> generous(X0))) [input p1]
7. ! [X0] : ((wise(X0) <~> ~quiet(X0)) <=> (~generous(X0) & ~old(X0))) [input p6]
15. ! [X0] : ((quiet(X0) | ~wise(X0)) <... | 0 |
Everyone who is both not tall and not calm is both not quiet and tall. Everyone who is not funny is quiet or not humble and vice versa. Everyone who is not humble or humble is either not creative or not kind and vice versa. If someone is both not generous and not patient then alice is both kind and strong and vice vers... | Mary is not creative. | neutral | (![X]:((~tall(X)&~calm(X))=>(~quiet(X)&tall(X))))&
(![X]:(~funny(X)<=>(quiet(X)|~humble(X))))&
(![X]:((~humble(X)|humble(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((~generous(X)&~patient(X))))<=>((kind(alice)&strong(alice))))&
(![X]:((~tall(X)&creative(X))<=>(~calm(X)&~curious(X))))&
(((generous(mary)<~>rich(mary)))=>(... | ~creative(mary) | [] | null | 0 |
Everyone who is strong or patient is funny.
If someone is either not tall or not calm then someone is either not patient or creative.
If john is kind then paul is calm or not creative.
Everyone who is both creative and brave is not kind and vice versa.
Everyone who is not generous is humble and vice versa.
Everyone who... | Lucy is funny. | entailment | (![X]:((strong(X)|patient(X))=>funny(X)))&
((?[X]:((~tall(X)<~>~calm(X))))=>(?[X]:((~patient(X)<~>creative(X)))))&
((kind(john))=>((calm(paul)|~creative(paul))))&
(![X]:((creative(X)&brave(X))<=>~kind(X)))&
(![X]:(~generous(X)<=>humble(X)))&
(![X]:((brave(X)<~>~tall(X))=>(old(X)|~brave(X))))&
(![X]:(happy(X)=>(~happy(X... | funny(lucy) | [
"p0",
"p13",
"p15",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7288620070537551815566447
% SZS output start Proof for 7288620070537551815566447
1. ! [X0] : ((patient(X0) | strong(X0)) => funny(X0)) [input p0]
14. ! [X0] : ((rich(X0) | ~quiet(X0)) => (kind(X0) & happy(X0))) [input p13]
16. ! [X0] : (~brave(X0) => (~happy(X0) & ~patient(X0))) [input p1... | 0 |
Everyone who is not curious is both calm and old and vice versa.
Everyone who is both not happy and creative is not strong.
Everyone who is either not quiet or not curious is both not strong and not patient and vice versa.
If someone is either not rich or kind then someone is both tall and not curious.
If john is both ... | Mary is wise. | contradiction | (![X]:(~curious(X)<=>(calm(X)&old(X))))&
(![X]:((~happy(X)&creative(X))=>~strong(X)))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~strong(X)&~patient(X))))&
((?[X]:((~rich(X)<~>kind(X))))=>(?[X]:((tall(X)&~curious(X)))))&
(((~creative(john)&wise(john)))=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:(wise(X)=>(patient(X)&curious(X... | wise(mary) | [
"p2",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7261885376294962947181106
% SZS output start Proof for 7261885376294962947181106
3. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (~patient(X0) & ~strong(X0))) [input p2]
6. ! [X0] : (wise(X0) => (curious(X0) & patient(X0))) [input p5]
9. ! [X0] : ((quiet(X0) | ~funny(X0)) <=> (tall(X0) & ~... | 0 |
Everyone who is not patient or not quiet is either curious or not calm. If someone is either not happy or wise then mary is both not happy and old and vice versa. Everyone who is not strong or not humble is quiet. If someone is both not generous and humble then john is not happy. If paul is kind then someone is either ... | Mary is generous. | contradiction | (![X]:((~patient(X)|~quiet(X))=>(curious(X)<~>~calm(X))))&
((?[X]:((~happy(X)<~>wise(X))))<=>((~happy(mary)&old(mary))))&
(![X]:((~strong(X)|~humble(X))=>quiet(X)))&
((?[X]:((~generous(X)&humble(X))))=>(~happy(john)))&
((kind(paul))=>(?[X]:((strong(X)<~>kind(X)))))&
(![X]:((~generous(X)&curious(X))<=>(~wise(X)&brave(X)... | generous(mary) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6340500294069872209433235
% SZS output start Proof for 6340500294069872209433235
11. ? [X0] : quiet(X0) <=> (~generous(mary) & calm(mary)) [input p10]
21. ? [X0] : (generous(X0) & quiet(X0)) [input p20]
25. generous(mary) [input hypothesis]
52. (? [X0] : quiet(X0) | (generous(mary) | ~cal... | 0 |
Everyone who is curious or not brave is both not creative and old. Everyone who is either brave or not strong is both not patient and patient and vice versa. Everyone who is not tall or not wise is both happy and not creative and vice versa. If lucy is patient or not generous then alice is not old or wise. Everyone who... | Mary is brave. | entailment | (![X]:((curious(X)|~brave(X))=>(~creative(X)&old(X))))&
(![X]:((brave(X)<~>~strong(X))<=>(~patient(X)&patient(X))))&
(![X]:((~tall(X)|~wise(X))<=>(happy(X)&~creative(X))))&
(((patient(lucy)|~generous(lucy)))=>((~old(alice)|wise(alice))))&
(![X]:((~funny(X)|~creative(X))=>(old(X)<~>~quiet(X))))&
(![X]:((~calm(X)&~genero... | brave(mary) | [
"p0",
"p1",
"p2",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2026820548990622925179142
% SZS output start Proof for 2026820548990622925179142
1. ! [X0] : ((~brave(X0) | curious(X0)) => (old(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (patient(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) <=> ... | 0 |
If john is either not curious or not rich then someone is not creative. Everyone who is both not tall and not generous is not rich and vice versa. Everyone who is wise is not rich. If susan is quiet or not curious then lucy is not old or humble. If someone is rich or creative then someone is not rich or not calm. If pa... | Alice is not kind. | contradiction | (((~curious(john)<~>~rich(john)))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~cr... | ~kind(alice) | [
"p6",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8284482394844160065362344
% SZS output start Proof for 8284482394844160065362344
7. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (kind(X0) | strong(X0))) [input p6]
15. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> kind(X0)) [input p14]
22. kind(alice) | creative(alice) [input p21]
25. ~kind(a... | 0 |
Everyone who is either strong or happy is both patient and curious.
Everyone who is either generous or not strong is not strong and vice versa.
Everyone who is both brave and funny is either not kind or not happy.
If someone is not happy or not brave then mary is both not patient and funny and vice versa.
If john is bo... | John is not happy. | neutral | (![X]:((strong(X)<~>happy(X))=>(patient(X)&curious(X))))&
(![X]:((generous(X)<~>~strong(X))<=>~strong(X)))&
(![X]:((brave(X)&funny(X))=>(~kind(X)<~>~happy(X))))&
((?[X]:((~happy(X)|~brave(X))))<=>((~patient(mary)&funny(mary))))&
(((kind(john)&rich(john)))<=>((creative(alice)|~tall(alice))))&
(![X]:(humble(X)<=>(kind(X)... | ~happy(john) | [] | null | 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... | Fred 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(fred) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1241579347519523853775662
% SZS output start Proof for 1241579347519523853775662
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 not happy is either not humble or not kind and vice versa.
Everyone who is either not rich or curious is both not humble and not curious and vice versa.
If susan is wise or creative then lucy is either not tall or not patient and vice versa.
Everyone who is creative is either not kind or not patient and... | Alice is tall. | contradiction | (![X]:(~happy(X)<=>(~humble(X)<~>~kind(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~humble(X)&~curious(X))))&
(((wise(susan)|creative(susan)))<=>((~tall(lucy)<~>~patient(lucy))))&
(![X]:(creative(X)<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)<~>~kind(X))=>(rich(X)<~>brave(X))))&
(![X]:((~quiet(X)<~>brave(X))<=>(~quiet(X... | tall(alice) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5573587412586592011313798
% SZS output start Proof for 5573587412586592011313798
2. ! [X0] : ((~rich(X0) <~> curious(X0)) <=> (~curious(X0) & ~humble(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) <~> brave(X0)) <=> (creative(X0) | ~quiet(X0))) [input p5]
8. ! [X0] : ((~patient(X0) | calm(X0))... | 0 |
Everyone who is either not happy or not old is quiet and vice versa. If someone is not humble or not quiet then someone is both quiet and strong. Everyone who is both not old and not brave is not creative or old. If someone is not calm or not patient then someone is rich or quiet. Everyone who is strong is both quiet a... | Fred is tall. | neutral | (![X]:((~happy(X)<~>~old(X))<=>quiet(X)))&
((?[X]:((~humble(X)|~quiet(X))))=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)&~brave(X))=>(~creative(X)|old(X))))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:(strong(X)<=>(quiet(X)&~tall(X))))&
((?[X]:((tall(X)&~quiet(X))))=>((~generous(john)|hap... | tall(fred) | [] | null | 0 |
Everyone who is old or quiet is either not patient or strong and vice versa.
If someone is either not quiet or not creative then someone is creative or not rich and vice versa.
Everyone who is both brave and not happy is either not humble or calm and vice versa.
Everyone who is tall or not curious is not tall or genero... | Mary is not wise. | neutral | (![X]:((old(X)|quiet(X))<=>(~patient(X)<~>strong(X))))&
((?[X]:((~quiet(X)<~>~creative(X))))<=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((brave(X)&~happy(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((tall(X)|~curious(X))<=>(~tall(X)|generous(X))))&
(![X]:((~creative(X)|~kind(X))=>(patient(X)&~kind(X))))&
(![X]:(~calm(X)<=>(ha... | ~wise(mary) | [] | null | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Susan is tall. | contradiction | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | tall(susan) | [
"p1",
"p2",
"p4",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7191470230388717452697564
% SZS output start Proof for 7191470230388717452697564
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ... | 0 |
Everyone who is not humble or strong is not happy or happy and vice versa. Everyone who is rich is either humble or calm and vice versa. Everyone who is not generous is rich and vice versa. Everyone who is both creative and tall is brave or kind and vice versa. If someone is both calm and not brave then someone is both... | Alice is not tall. | contradiction | (![X]:((~humble(X)|strong(X))<=>(~happy(X)|happy(X))))&
(![X]:(rich(X)<=>(humble(X)<~>calm(X))))&
(![X]:(~generous(X)<=>rich(X)))&
(![X]:((creative(X)&tall(X))<=>(brave(X)|kind(X))))&
((?[X]:((calm(X)&~brave(X))))=>(?[X]:((~curious(X)&~humble(X)))))&
(![X]:(~patient(X)<=>~funny(X)))&
(![X]:((~wise(X)|brave(X))<=>(funny... | ~tall(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 542944301435972605334568
% SZS output start Proof for 542944301435972605334568
4. ! [X0] : ((tall(X0) & creative(X0)) <=> (kind(X0) | brave(X0))) [input p3]
8. ! [X0] : (brave(X0) <=> ~tall(X0)) [input p7]
21. ~tall(alice) [input hypothesis]
36. ! [X0] : (((tall(X0) & creative(X0)) | (~ki... | 0 |
Everyone who is patient is either curious or not strong and vice versa.
Everyone who is both old and tall is wise.
Everyone who is not strong is either not generous or brave.
Everyone who is curious is both not patient and not strong.
Everyone who is not tall or not strong is either calm or generous.
Everyone who is bo... | John is rich. | neutral | (![X]:(patient(X)<=>(curious(X)<~>~strong(X))))&
(![X]:((old(X)&tall(X))=>wise(X)))&
(![X]:(~strong(X)=>(~generous(X)<~>brave(X))))&
(![X]:(curious(X)=>(~patient(X)&~strong(X))))&
(![X]:((~tall(X)|~strong(X))=>(calm(X)<~>generous(X))))&
(![X]:((~brave(X)&~funny(X))<=>happy(X)))&
(((kind(john)<~>funny(john)))=>((~patien... | rich(john) | [] | null | 0 |
If lucy is both not brave and wise then mary is patient or not brave and vice versa.
If someone is either not wise or not happy then alice is brave and vice versa.
Everyone who is both quiet and not rich is not brave or not strong.
Everyone who is either strong or not brave is tall or humble and vice versa.
Everyone wh... | Fred is not quiet. | neutral | (((~brave(lucy)&wise(lucy)))<=>((patient(mary)|~brave(mary))))&
((?[X]:((~wise(X)<~>~happy(X))))<=>(brave(alice)))&
(![X]:((quiet(X)&~rich(X))=>(~brave(X)|~strong(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(tall(X)|humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)&happy(X))))&
(![X]:((rich(X)&creative(X))<=>(~old(X)|~patient(X... | ~quiet(fred) | [] | null | 0 |
Everyone who is patient or kind is not generous. Everyone who is calm is both tall and rich. Everyone who is not quiet or not patient is either not strong or happy. If susan is either happy or creative then john is both curious and not humble and vice versa. Everyone who is both happy and not happy is either not tall o... | Paul is calm. | contradiction | (![X]:((patient(X)|kind(X))=>~generous(X)))&
(![X]:(calm(X)=>(tall(X)&rich(X))))&
(![X]:((~quiet(X)|~patient(X))=>(~strong(X)<~>happy(X))))&
(((happy(susan)<~>creative(susan)))<=>((curious(john)&~humble(john))))&
(![X]:((happy(X)&~happy(X))<=>(~tall(X)<~>curious(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~kind(X)|~... | calm(paul) | [
"p1",
"p4",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4148467591474436613209743
% SZS output start Proof for 4148467591474436613209743
2. ! [X0] : (calm(X0) => (rich(X0) & tall(X0))) [input p1]
5. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~tall(X0) <~> curious(X0))) [input p4]
6. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p5]
23. ~wise(paul) ... | 0 |
If john is calm or generous then someone is not happy.
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 som... | Fred is not quiet. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![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(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7339634365548128518820222
% SZS output start Proof for 7339634365548128518820222
11. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0))) [input p10]
25. ~quiet(fred) [input hypothesis]
60. ! [X0] : ((quiet(X0) | (quiet(X0) & ~strong(X0))) & ((~quiet(X0) | strong(X0)) | ~quiet(X0))) [nnf tr... | 0 |
Everyone who is either not happy or strong is either funny or happy and vice versa.
If someone is either patient or old then someone is both not happy and not rich.
Everyone who is not generous or wise is both not brave and funny.
Everyone who is tall is quiet or patient and vice versa.
If someone is creative then lucy... | Susan is generous. | entailment | (![X]:((~happy(X)<~>strong(X))<=>(funny(X)<~>happy(X))))&
((?[X]:((patient(X)<~>old(X))))=>(?[X]:((~happy(X)&~rich(X)))))&
(![X]:((~generous(X)|wise(X))=>(~brave(X)&funny(X))))&
(![X]:(tall(X)<=>(quiet(X)|patient(X))))&
((?[X]:(creative(X)))<=>((creative(lucy)&wise(lucy))))&
(![X]:(~patient(X)=>(~generous(X)&~humble(X)... | generous(susan) | [
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4310003658888634476851893
% SZS output start Proof for 4310003658888634476851893
10. ! [X0] : (kind(X0) <=> (~generous(X0) | ~brave(X0))) [input p9]
13. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> (~curious(X0) <~> tall(X0))) [input p12]
22. tall(susan) [input p21]
24. ~generous(susan) [inpu... | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | Mary is old. | contradiction | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | old(mary) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 629444659735131875570393
% SZS output start Proof for 629444659735131875570393
7. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (brave(X0) <~> ~old(X0))) [input p6]
17. quiet(mary) & brave(mary) [input p16]
23. old(mary) [input hypothesis]
36. ! [X0] : (((~brave(X0) & quiet(X0)) | ((brave(X0) | ... | 0 |
Everyone who is both not humble and not calm is either rich or humble. If someone is either not calm or not wise then someone is strong or wise and vice versa. Everyone who is not calm or happy is not humble and vice versa. Everyone who is either not funny or calm is both funny and not rich. Everyone who is both brave ... | Lucy is tall. | entailment | (![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~calm(X)|happy(X))<=>~humble(X)))&
(![X]:((~funny(X)<~>calm(X))=>(funny(X)&~rich(X))))&
(![X]:((brave(X)&~quiet(X))<=>(generous(X)&~calm(X))))&
((~tall(susan))<=>(?[X]:((~happy(X)<~>~old(X))))... | tall(lucy) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p11",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7779227394184709514961436
% SZS output start Proof for 7779227394184709514961436
2. ? [X0] : (~calm(X0) <~> ~wise(X0)) <=> ? [X0] : (wise(X0) | strong(X0)) [input p1]
3. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : ((~funny(X0) <~> calm(X0)) => (~rich(X0) & fu... | 0 |
If someone is not creative or not patient then someone is both wise and old and vice versa.
If alice is funny or patient then susan is either rich or not funny.
If someone is not happy or not calm then lucy is not tall.
Everyone who is not brave or kind is generous and vice versa.
Everyone who is not humble is both not... | Susan is not rich. | entailment | ((?[X]:((~creative(X)|~patient(X))))<=>(?[X]:((wise(X)&old(X)))))&
(((funny(alice)|patient(alice)))=>((rich(susan)<~>~funny(susan))))&
((?[X]:((~happy(X)|~calm(X))))=>(~tall(lucy)))&
(![X]:((~brave(X)|kind(X))<=>generous(X)))&
(![X]:(~humble(X)<=>(~curious(X)&old(X))))&
(![X]:((~patient(X)|brave(X))<=>(~humble(X)&old(X... | ~rich(susan) | [
"p2",
"p5",
"p6",
"p10",
"p12",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 489216748403907877822644
% SZS output start Proof for 489216748403907877822644
3. ? [X0] : (~calm(X0) | ~happy(X0)) => ~tall(lucy) [input p2]
6. ! [X0] : ((brave(X0) | ~patient(X0)) <=> (old(X0) & ~humble(X0))) [input p5]
7. (curious(susan) & ~creative(susan)) <=> (~wise(lucy) | curious(l... | 0 |
Everyone who is both strong and not brave is wise and vice versa. Everyone who is both tall and rich is either humble or not patient and vice versa. Everyone who is generous or rich is either rich or not tall. If someone is either old or patient then john is not generous or not kind. Everyone who is both not curious an... | Alice is patient. | neutral | (![X]:((strong(X)&~brave(X))<=>wise(X)))&
(![X]:((tall(X)&rich(X))<=>(humble(X)<~>~patient(X))))&
(![X]:((generous(X)|rich(X))=>(rich(X)<~>~tall(X))))&
((?[X]:((old(X)<~>patient(X))))=>((~generous(john)|~kind(john))))&
(![X]:((~curious(X)&curious(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~funny(X)|patient(X))<=>(quiet(... | patient(alice) | [] | null | 0 |
Everyone who is not quiet or humble is funny and vice versa. If someone is either patient or not old then john is both not humble and not brave. Everyone who is either not humble or not curious is not brave or not patient. Everyone who is old or not curious is both not strong and not rich and vice versa. Everyone who i... | Susan is brave. | contradiction | (![X]:((~quiet(X)|humble(X))<=>funny(X)))&
((?[X]:((patient(X)<~>~old(X))))=>((~humble(john)&~brave(john))))&
(![X]:((~humble(X)<~>~curious(X))=>(~brave(X)|~patient(X))))&
(![X]:((old(X)|~curious(X))<=>(~strong(X)&~rich(X))))&
(![X]:((strong(X)|old(X))=>(~creative(X)&~kind(X))))&
(![X]:((~happy(X)&happy(X))=>(tall(X)|p... | brave(susan) | [
"p3",
"p4",
"p6",
"p7",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5752969595107534175591042
% SZS output start Proof for 5752969595107534175591042
4. ! [X0] : ((~curious(X0) | old(X0)) <=> (~rich(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((old(X0) | strong(X0)) => (~kind(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((humble(X0) <~> old(X0)) => (~strong... | 0 |
If paul is not strong or happy then someone is not curious or not kind and vice versa. Everyone who is not quiet is either strong or funny. Everyone who is not humble is both happy and not patient. Everyone who is rich or curious is wise and vice versa. Everyone who is humble or not quiet is generous or not strong and ... | Susan is not rich. | neutral | (((~strong(paul)|happy(paul)))<=>(?[X]:((~curious(X)|~kind(X)))))&
(![X]:(~quiet(X)=>(strong(X)<~>funny(X))))&
(![X]:(~humble(X)=>(happy(X)&~patient(X))))&
(![X]:((rich(X)|curious(X))<=>wise(X)))&
(![X]:((humble(X)|~quiet(X))<=>(generous(X)|~strong(X))))&
((?[X]:((~humble(X)&funny(X))))=>(?[X]:(~curious(X))))&
(![X]:((... | ~rich(susan) | [] | null | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Susan is not funny. | entailment | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | ~funny(susan) | [
"p4",
"p7",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2574140480656295172362797
% SZS output start Proof for 2574140480656295172362797
5. ! [X0] : (~wise(X0) <=> (~creative(X0) | quiet(X0))) [input p4]
8. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
9. ! [X0] : (curious(X0) <=> (~happy(X0) | ~curious(X0))) [input p8]
12. ! [X0... | 0 |
Everyone who is not curious or not rich is either wise or generous.
Everyone who is rich or not kind is either not tall or calm.
If someone is both wise and quiet then john is both creative and strong and vice versa.
Everyone who is curious is both quiet and generous and vice versa.
If someone is either not brave or no... | Fred is not quiet. | contradiction | (![X]:((~curious(X)|~rich(X))=>(wise(X)<~>generous(X))))&
(![X]:((rich(X)|~kind(X))=>(~tall(X)<~>calm(X))))&
((?[X]:((wise(X)&quiet(X))))<=>((creative(john)&strong(john))))&
(![X]:(curious(X)<=>(quiet(X)&generous(X))))&
((?[X]:((~brave(X)<~>~funny(X))))<=>(?[X]:((~humble(X)&happy(X)))))&
((?[X]:(~old(X)))<=>(?[X]:((~cu... | ~quiet(fred) | [
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4618547385111538659933856
% SZS output start Proof for 4618547385111538659933856
4. ! [X0] : (curious(X0) <=> (generous(X0) & quiet(X0))) [input p3]
7. ! [X0] : ((~curious(X0) | ~creative(X0)) => (quiet(X0) | patient(X0))) [input p6]
10. ! [X0] : ((~patient(X0) <~> ~curious(X0)) => (quiet... | 0 |
If someone is both not rich and not tall then alice is either not wise or curious and vice versa.
Everyone who is both not humble and quiet is not strong and vice versa.
Everyone who is both strong and brave is not old or not calm.
If someone is not patient or not brave then paul is either not creative or not humble.
I... | Paul is not quiet. | neutral | ((?[X]:((~rich(X)&~tall(X))))<=>((~wise(alice)<~>curious(alice))))&
(![X]:((~humble(X)&quiet(X))<=>~strong(X)))&
(![X]:((strong(X)&brave(X))=>(~old(X)|~calm(X))))&
((?[X]:((~patient(X)|~brave(X))))=>((~creative(paul)<~>~humble(paul))))&
((?[X]:((brave(X)|~patient(X))))=>(tall(paul)))&
(![X]:((~brave(X)<~>~generous(X))<... | ~quiet(paul) | [] | null | 0 |
Everyone who is both funny and not happy is not creative or happy and vice versa.
Everyone who is both brave and kind is not funny or happy and vice versa.
If paul is both not kind and happy then someone is kind or not tall.
If paul is either not old or not humble then someone is not creative and vice versa.
If lucy is... | Lucy is not funny. | neutral | (![X]:((funny(X)&~happy(X))<=>(~creative(X)|happy(X))))&
(![X]:((brave(X)&kind(X))<=>(~funny(X)|happy(X))))&
(((~kind(paul)&happy(paul)))=>(?[X]:((kind(X)|~tall(X)))))&
(((~old(paul)<~>~humble(paul)))<=>(?[X]:(~creative(X))))&
(((~funny(lucy)|funny(lucy)))<=>((creative(mary)&~rich(mary))))&
(![X]:((~creative(X)<~>~quie... | ~funny(lucy) | [] | null | 0 |
Everyone who is either not happy or not quiet is creative and vice versa.
If someone is either wise or not strong then someone is either quiet or kind.
If someone is either not curious or wise then fred is both quiet and creative and vice versa.
If someone is both not curious and not happy then john is either not brave... | John is not creative. | entailment | (![X]:((~happy(X)<~>~quiet(X))<=>creative(X)))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>kind(X)))))&
((?[X]:((~curious(X)<~>wise(X))))<=>((quiet(fred)&creative(fred))))&
((?[X]:((~curious(X)&~happy(X))))<=>((~brave(john)<~>~wise(john))))&
(![X]:((~creative(X)|old(X))=>(rich(X)|~generous(X))))&
(((old(lucy)... | ~creative(john) | [
"p0",
"p4",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4045819871396192020527414
% SZS output start Proof for 4045819871396192020527414
1. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> creative(X0)) [input p0]
5. ! [X0] : ((old(X0) | ~creative(X0)) => (~generous(X0) | rich(X0))) [input p4]
11. ! [X0] : ((~old(X0) | rich(X0)) <=> (~happy(X0) <~> q... | 0 |
If someone is both brave and calm then someone is not brave and vice versa.
If someone is not strong or strong then someone is both calm and not humble.
Everyone who is both not happy and rich is old.
If fred is quiet or humble then someone is either generous or not funny.
Everyone who is calm is creative.
Everyone who... | Lucy is not tall. | neutral | ((?[X]:((brave(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:((~happy(X)&rich(X))=>old(X)))&
(((quiet(fred)|humble(fred)))=>(?[X]:((generous(X)<~>~funny(X)))))&
(![X]:(calm(X)=>creative(X)))&
(![X]:(rich(X)<=>patient(X)))&
((wise(fred))=>(?[X]:((~quiet(X)&b... | ~tall(lucy) | [] | null | 0 |
Everyone who is either not curious or quiet is not kind and vice versa.
Everyone who is either kind or tall is either wise or not humble and vice versa.
If susan is not strong then someone is either tall or not rich and vice versa.
Everyone who is both not strong and not patient is patient and vice versa.
Everyone who ... | Fred is not quiet. | contradiction | (![X]:((~curious(X)<~>quiet(X))<=>~kind(X)))&
(![X]:((kind(X)<~>tall(X))<=>(wise(X)<~>~humble(X))))&
((~strong(susan))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((~strong(X)&~patient(X))<=>patient(X)))&
(![X]:((~brave(X)<~>old(X))=>(~happy(X)|~strong(X))))&
((?[X]:((~humble(X)|humble(X))))=>(?[X]:((~happy(X)&~calm(X)))))... | ~quiet(fred) | [
"p0",
"p3",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2014961829710198044679682
% SZS output start Proof for 2014961829710198044679682
1. ! [X0] : ((~curious(X0) <~> quiet(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> patient(X0)) [input p3]
8. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> curious(X0)) [input p7]
11. ... | 0 |
Everyone who is not kind is not brave. Everyone who is either quiet or not quiet is both not rich and not brave and vice versa. If paul is either brave or not quiet then mary is either not generous or tall. If someone is either funny or not patient then lucy is tall. Everyone who is both wise and not wise is both stron... | Mary is calm. | contradiction | (![X]:(~kind(X)=>~brave(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(~rich(X)&~brave(X))))&
(((brave(paul)<~>~quiet(paul)))=>((~generous(mary)<~>tall(mary))))&
((?[X]:((funny(X)<~>~patient(X))))=>(tall(lucy)))&
(![X]:((wise(X)&~wise(X))=>(strong(X)&wise(X))))&
(![X]:((humble(X)<~>funny(X))<=>(~kind(X)<~>~patient(X))))&
((?[X... | calm(mary) | [
"p1",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1352985151428634216240799
% SZS output start Proof for 1352985151428634216240799
2. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (~brave(X0) & ~rich(X0))) [input p1]
8. ? [X0] : quiet(X0) <=> (~rich(mary) <~> calm(mary)) [input p7]
20. ? [X0] : (quiet(X0) | rich(X0)) [input p19]
25. calm(mary... | 0 |
If someone is not old then mary is not humble or generous. Everyone who is curious is both generous and not humble and vice versa. Everyone who is calm is both tall and not tall. Everyone who is either old or calm is strong. If mary is either funny or kind then alice is either generous or not old. If someone is tall th... | Paul is not generous. | entailment | ((?[X]:(~old(X)))=>((~humble(mary)|generous(mary))))&
(![X]:(curious(X)<=>(generous(X)&~humble(X))))&
(![X]:(calm(X)=>(tall(X)&~tall(X))))&
(![X]:((old(X)<~>calm(X))=>strong(X)))&
(((funny(mary)<~>kind(mary)))=>((generous(alice)<~>~old(alice))))&
((?[X]:(tall(X)))<=>((~calm(mary)<~>kind(mary))))&
((?[X]:((quiet(X)|crea... | ~generous(paul) | [
"p8",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2937648918033664116890408
% SZS output start Proof for 2937648918033664116890408
9. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> ~humble(X0)) [input p8]
15. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (generous(X0) <~> ~humble(X0))) [input p14]
18. ~humble(paul) | ~rich(paul) [input p17]
25. ge... | 0 |
Everyone who is creative or tall is both funny and not funny. Everyone who is not strong or not generous is rich. Everyone who is not humble is both brave and not tall and vice versa. Everyone who is either happy or not quiet is not brave or calm and vice versa. Everyone who is not calm is both not curious and patient ... | Alice is not humble. | entailment | (![X]:((creative(X)|tall(X))=>(funny(X)&~funny(X))))&
(![X]:((~strong(X)|~generous(X))=>rich(X)))&
(![X]:(~humble(X)<=>(brave(X)&~tall(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~brave(X)|calm(X))))&
(![X]:(~calm(X)<=>(~curious(X)&patient(X))))&
(![X]:((curious(X)&~generous(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~calm(X)&w... | ~humble(alice) | [
"p0",
"p2",
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5605225280155509424455159
% SZS output start Proof for 5605225280155509424455159
1. ! [X0] : ((tall(X0) | creative(X0)) => (~funny(X0) & funny(X0))) [input p0]
3. ! [X0] : (~humble(X0) <=> (~tall(X0) & brave(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (calm(X0) | ~brave(X... | 0 |
If mary is both tall and calm then paul is curious or not quiet.
If alice is not calm or wise then susan is calm.
Everyone who is not quiet is not quiet or not patient and vice versa.
Everyone who is happy or creative is both calm and not tall.
If mary is creative then someone is not wise or tall and vice versa.
Everyo... | Paul is brave. | contradiction | (((tall(mary)&calm(mary)))=>((curious(paul)|~quiet(paul))))&
(((~calm(alice)|wise(alice)))=>(calm(susan)))&
(![X]:(~quiet(X)<=>(~quiet(X)|~patient(X))))&
(![X]:((happy(X)|creative(X))=>(calm(X)&~tall(X))))&
((creative(mary))<=>(?[X]:((~wise(X)|tall(X)))))&
(![X]:((~brave(X)&~patient(X))<=>(curious(X)<~>~funny(X))))&
(!... | brave(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6633962522806451139764954
% SZS output start Proof for 6633962522806451139764954
16. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> ~brave(X0)) [input p15]
24. brave(paul) [input hypothesis]
65. ! [X0] : ((((generous(X0) | ~generous(X0)) & (~generous(X0) | generous(X0))) | brave(X0)) & (~... | 0 |
If john is either not rich or not curious then alice is not strong or not humble and vice versa. If someone is either not old or brave then someone is not quiet or rich. If someone is creative or kind then someone is both not rich and not creative. If fred is either humble or funny then paul is brave or funny. Everyone... | John is not funny. | contradiction | (((~rich(john)<~>~curious(john)))<=>((~strong(alice)|~humble(alice))))&
((?[X]:((~old(X)<~>brave(X))))=>(?[X]:((~quiet(X)|rich(X)))))&
((?[X]:((creative(X)|kind(X))))=>(?[X]:((~rich(X)&~creative(X)))))&
(((humble(fred)<~>funny(fred)))=>((brave(paul)|funny(paul))))&
(![X]:((~funny(X)<~>~generous(X))<=>(~humble(X)&strong... | ~funny(john) | [
"p4",
"p6",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4528750253348185362500044
% SZS output start Proof for 4528750253348185362500044
5. ! [X0] : ((~funny(X0) <~> ~generous(X0)) <=> (strong(X0) & ~humble(X0))) [input p4]
7. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> rich(X0)) [input p6]
9. ! [X0] : ((old(X0) <~> rich(X0)) => ~brave(X0)) [inpu... | 0 |
If susan is either happy or not happy then alice is not tall and vice versa.
Everyone who is not wise is not quiet or generous and vice versa.
Everyone who is either not rich or not calm is not creative or creative and vice versa.
Everyone who is rich or not rich is both creative and not strong and vice versa.
If someo... | John is wise. | contradiction | (((happy(susan)<~>~happy(susan)))<=>(~tall(alice)))&
(![X]:(~wise(X)<=>(~quiet(X)|generous(X))))&
(![X]:((~rich(X)<~>~calm(X))<=>(~creative(X)|creative(X))))&
(![X]:((rich(X)|~rich(X))<=>(creative(X)&~strong(X))))&
((?[X]:((~generous(X)&happy(X))))<=>((~generous(susan)|creative(susan))))&
(![X]:((~brave(X)<~>~happy(X))... | wise(john) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7173465608313703571408204
% SZS output start Proof for 7173465608313703571408204
2. ! [X0] : (~wise(X0) <=> (generous(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((~rich(X0) | rich(X0)) <=> (~strong(X0) & creative(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (creative(X0) | ~p... | 0 |
If someone is curious or tall then paul is either patient or creative.
If alice is strong or not funny then john is both rich and not kind.
Everyone who is kind or not rich is both not tall and not quiet.
Everyone who is either not humble or strong is kind or brave and vice versa.
If someone is not kind or quiet then p... | John is old. | neutral | ((?[X]:((curious(X)|tall(X))))=>((patient(paul)<~>creative(paul))))&
(((strong(alice)|~funny(alice)))=>((rich(john)&~kind(john))))&
(![X]:((kind(X)|~rich(X))=>(~tall(X)&~quiet(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(kind(X)|brave(X))))&
((?[X]:((~kind(X)|quiet(X))))<=>((tall(paul)&~tall(paul))))&
(((humble(paul)&~tal... | old(john) | [] | null | 0 |
Everyone who is both not humble and funny is both not brave and kind.
If susan is either not wise or generous then someone is creative or not humble.
Everyone who is calm is curious or wise.
If someone is curious then someone is tall.
If mary is both funny and not humble then someone is patient or not quiet.
If someone... | Susan is not wise. | neutral | (![X]:((~humble(X)&funny(X))=>(~brave(X)&kind(X))))&
(((~wise(susan)<~>generous(susan)))=>(?[X]:((creative(X)|~humble(X)))))&
(![X]:(calm(X)=>(curious(X)|wise(X))))&
((?[X]:(curious(X)))=>(?[X]:(tall(X))))&
(((funny(mary)&~humble(mary)))=>(?[X]:((patient(X)|~quiet(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)<~>old(... | ~wise(susan) | [] | null | 0 |
Everyone who is both kind and generous is either not tall or not wise.
Everyone who is not patient or curious is funny or quiet.
If someone is both not old and not happy then john is both not patient and generous and vice versa.
If mary is both humble and brave then someone is not funny or not quiet.
If susan is not ha... | Susan is happy. | entailment | (![X]:((kind(X)&generous(X))=>(~tall(X)<~>~wise(X))))&
(![X]:((~patient(X)|curious(X))=>(funny(X)|quiet(X))))&
((?[X]:((~old(X)&~happy(X))))<=>((~patient(john)&generous(john))))&
(((humble(mary)&brave(mary)))=>(?[X]:((~funny(X)|~quiet(X)))))&
((~happy(susan))=>(~generous(susan)))&
(![X]:((rich(X)<~>generous(X))<=>creat... | happy(susan) | [
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4339831197812256343955288
% SZS output start Proof for 4339831197812256343955288
5. ~happy(susan) => ~generous(susan) [input p4]
6. ! [X0] : ((rich(X0) <~> generous(X0)) <=> creative(X0)) [input p5]
15. ! [X0] : (creative(X0) <=> ~rich(X0)) [input p14]
25. ~happy(susan) [input hypothesis]... | 0 |
Everyone who is either not generous or not tall is not wise or not generous and vice versa. If mary is both not patient and brave then fred is either not tall or tall. If someone is either not old or not happy then someone is both calm and old. Everyone who is old is strong. Everyone who is tall is both funny and not t... | Mary is not old. | entailment | (![X]:((~generous(X)<~>~tall(X))<=>(~wise(X)|~generous(X))))&
(((~patient(mary)&brave(mary)))=>((~tall(fred)<~>tall(fred))))&
((?[X]:((~old(X)<~>~happy(X))))=>(?[X]:((calm(X)&old(X)))))&
(![X]:(old(X)=>strong(X)))&
(![X]:(tall(X)=>(funny(X)&~tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:((~patient(... | ~old(mary) | [
"p0",
"p3",
"p4",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 557803624972713531922172
% SZS output start Proof for 557803624972713531922172
1. ! [X0] : ((~generous(X0) <~> ~tall(X0)) <=> (~generous(X0) | ~wise(X0))) [input p0]
4. ! [X0] : (old(X0) => strong(X0)) [input p3]
5. ! [X0] : (tall(X0) => (~tall(X0) & funny(X0))) [input p4]
13. ? [X0] : ~c... | 0 |
Everyone who is calm or patient is both quiet and not calm.
If paul is both not rich and funny then john is both patient and kind and vice versa.
Everyone who is not quiet or not calm is humble and vice versa.
If someone is either brave or tall then paul is either not rich or not patient and vice versa.
If someone is f... | Susan is not patient. | neutral | (![X]:((calm(X)|patient(X))=>(quiet(X)&~calm(X))))&
(((~rich(paul)&funny(paul)))<=>((patient(john)&kind(john))))&
(![X]:((~quiet(X)|~calm(X))<=>humble(X)))&
((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))&
((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~kind(X)<=>(creative(X)|~patient(X... | ~patient(susan) | [] | null | 0 |
Everyone who is both not funny and not kind is either quiet or happy and vice versa.
Everyone who is either patient or not calm is not kind or not curious and vice versa.
If alice is not calm or old then someone is either funny or not tall and vice versa.
If someone is calm or humble then someone is both funny and happ... | Lucy is strong. | entailment | (![X]:((~funny(X)&~kind(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(~kind(X)|~curious(X))))&
(((~calm(alice)|old(alice)))<=>(?[X]:((funny(X)<~>~tall(X)))))&
((?[X]:((calm(X)|humble(X))))=>(?[X]:((funny(X)&happy(X)))))&
(![X]:(~generous(X)<=>(brave(X)&~kind(X))))&
(((rich(lucy)|humble(lucy)))=>(?[X]... | strong(lucy) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p10",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5090160748801695038427430
% SZS output start Proof for 5090160748801695038427430
1. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (quiet(X0) <~> happy(X0))) [input p0]
5. ! [X0] : (~generous(X0) <=> (~kind(X0) & brave(X0))) [input p4]
7. ? [X0] : (kind(X0) | ~brave(X0)) <=> (~funny(lucy) <~> ~st... | 0 |
Everyone who is not quiet or not patient is both funny and wise and vice versa. Everyone who is not brave or happy is either not brave or funny. Everyone who is not curious is humble or creative and vice versa. Everyone who is either creative or kind is either patient or not brave and vice versa. Everyone who is either... | Alice is not wise. | entailment | (![X]:((~quiet(X)|~patient(X))<=>(funny(X)&wise(X))))&
(![X]:((~brave(X)|happy(X))=>(~brave(X)<~>funny(X))))&
(![X]:(~curious(X)<=>(humble(X)|creative(X))))&
(![X]:((creative(X)<~>kind(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~old(X))<=>(~brave(X)|~calm(X))))&
(![X]:(calm(X)=>generous(X)))&
((?[X]:(~creativ... | ~wise(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6759085017877805513857928
% SZS output start Proof for 6759085017877805513857928
16. ? [X0] : (~happy(X0) | wise(X0)) => (~wise(alice) & ~quiet(alice)) [input p15]
25. wise(alice) [input hypothesis]
35. (~wise(alice) & ~quiet(alice)) | ! [X0] : (happy(X0) & ~wise(X0)) [ennf transformation... | 0 |
Everyone who is both rich and funny is not humble or brave.
If mary is happy or not tall then mary is both creative and not humble.
Everyone who is not rich or not humble is both not creative and not curious and vice versa.
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or n... | Alice is not brave. | contradiction | (![X]:((rich(X)&funny(X))=>(~humble(X)|brave(X))))&
(((happy(mary)|~tall(mary)))=>((creative(mary)&~humble(mary))))&
(![X]:((~rich(X)|~humble(X))<=>(~creative(X)&~curious(X))))&
(![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:... | ~brave(alice) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p12",
"p13",
"p15",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5460301453872191011622818
% SZS output start Proof for 5460301453872191011622818
4. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p3]
5. ! [X0] : ((~old(X0) | ~humble(X0)) => (~strong(X0) | ~calm(X0))) [input p4]
6. (~strong(alice) <~> old(alice)) <=> ? [X0] : (~wise(X0) &... | 0 |
Everyone who is both quiet and curious is either not patient or happy.
If john is both humble and not kind then john is both kind and rich.
If someone is both not curious and not quiet then susan is either not kind or not wise and vice versa.
Everyone who is both creative and humble is both not quiet and not funny.
Eve... | Lucy is not kind. | entailment | (![X]:((quiet(X)&curious(X))=>(~patient(X)<~>happy(X))))&
(((humble(john)&~kind(john)))=>((kind(john)&rich(john))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((~kind(susan)<~>~wise(susan))))&
(![X]:((creative(X)&humble(X))=>(~quiet(X)&~funny(X))))&
(![X]:((curious(X)&~curious(X))=>(brave(X)|~old(X))))&
(![X]:(~strong(X)=>(k... | ~kind(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3677984600656853770922447
% SZS output start Proof for 3677984600656853770922447
19. happy(lucy) & ~kind(lucy) [input p18]
24. kind(lucy) [input hypothesis]
131. ~kind(lucy) [cnf transformation 19]
140. kind(lucy) [cnf transformation 24]
188. 10 <=> kind(lucy) [avatar definition]
290. ~10... | 0 |
Everyone who is either strong or calm is quiet and vice versa.
If someone is kind or not happy then someone is not kind and vice versa.
Everyone who is not humble is both old and not curious.
Everyone who is generous is both not curious and not kind.
Everyone who is tall or strong is both generous and not patient.
If j... | Paul is not quiet. | entailment | (![X]:((strong(X)<~>calm(X))<=>quiet(X)))&
((?[X]:((kind(X)|~happy(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(generous(X)=>(~curious(X)&~kind(X))))&
(![X]:((tall(X)|strong(X))=>(generous(X)&~patient(X))))&
(((~creative(john)<~>~tall(john)))<=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:(... | ~quiet(paul) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1653702623398708970381486
% SZS output start Proof for 1653702623398708970381486
1. ! [X0] : ((strong(X0) <~> calm(X0)) <=> quiet(X0)) [input p0]
3. ! [X0] : (~humble(X0) => (~curious(X0) & old(X0))) [input p2]
4. ! [X0] : (generous(X0) => (~kind(X0) & ~curious(X0))) [input p3]
5. ! [X0] ... | 0 |
If someone is happy then someone is not creative or generous.
Everyone who is both kind and not curious is both not curious and not happy and vice versa.
Everyone who is not creative or not strong is both not brave and not old and vice versa.
Everyone who is either quiet or not brave is both brave and generous.
If john... | Alice is not kind. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((~creative(X)|generous(X)))))&
(![X]:((kind(X)&~curious(X))<=>(~curious(X)&~happy(X))))&
(![X]:((~creative(X)|~strong(X))<=>(~brave(X)&~old(X))))&
(![X]:((quiet(X)<~>~brave(X))=>(brave(X)&generous(X))))&
((old(john))<=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~patient(X)<~>curious(X))<=>~old(X)... | ~kind(alice) | [
"p2",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5043357760082079496851803
% SZS output start Proof for 5043357760082079496851803
3. ! [X0] : ((~strong(X0) | ~creative(X0)) <=> (~old(X0) & ~brave(X0))) [input p2]
6. ! [X0] : ((~patient(X0) <~> curious(X0)) <=> ~old(X0)) [input p5]
10. ! [X0] : ((~kind(X0) | ~creative(X0)) <=> (~patient(... | 0 |
Everyone who is both old and humble is not creative or rich.
If someone is not happy then fred is patient or not tall and vice versa.
If someone is curious then mary is not old or curious and vice versa.
If someone is quiet then susan is either not funny or not calm and vice versa.
If john is not old or not tall then s... | Lucy is brave. | entailment | (![X]:((old(X)&humble(X))=>(~creative(X)|rich(X))))&
((?[X]:(~happy(X)))<=>((patient(fred)|~tall(fred))))&
((?[X]:(curious(X)))<=>((~old(mary)|curious(mary))))&
((?[X]:(quiet(X)))<=>((~funny(susan)<~>~calm(susan))))&
(((~old(john)|~tall(john)))<=>(?[X]:(~kind(X))))&
(((old(fred)&~rich(fred)))<=>(?[X]:(~old(X))))&
((~br... | brave(lucy) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1818281461853097226827172
% SZS output start Proof for 1818281461853097226827172
16. ! [X0] : ((kind(X0) | ~curious(X0)) => brave(X0)) [input p15]
20. ~brave(lucy) <~> curious(lucy) [input p19]
25. ~brave(lucy) [input hypothesis]
30. ! [X0] : (brave(X0) | (~kind(X0) & curious(X0))) [ennf ... | 0 |
If someone is both not brave and happy then someone is not quiet or not humble and vice versa.
If paul is not wise or not creative then someone is both strong and not brave and vice versa.
Everyone who is either not brave or brave is either creative or happy and vice versa.
Everyone who is either generous or funny is e... | Susan is not generous. | entailment | ((?[X]:((~brave(X)&happy(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(((~wise(paul)|~creative(paul)))<=>(?[X]:((strong(X)&~brave(X)))))&
(![X]:((~brave(X)<~>brave(X))<=>(creative(X)<~>happy(X))))&
(![X]:((generous(X)<~>funny(X))=>(wise(X)<~>curious(X))))&
(![X]:((~old(X)|tall(X))=>(~creative(X)<~>humble(X))))&
(![X]:((~p... | ~generous(susan) | [
"p2",
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2440524463630858147443255
% SZS output start Proof for 2440524463630858147443255
3. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (creative(X0) <~> happy(X0))) [input p2]
5. ! [X0] : ((tall(X0) | ~old(X0)) => (~creative(X0) <~> humble(X0))) [input p4]
11. ! [X0] : ((~tall(X0) & old(X0)) => (~g... | 0 |
If lucy is either happy or generous then susan is strong or not humble. Everyone who is not patient or not calm is strong or old and vice versa. If someone is either not kind or not strong then someone is not creative. If susan is both not tall and not brave then someone is either not humble or not calm and vice versa.... | Alice is not kind. | entailment | (((happy(lucy)<~>generous(lucy)))=>((strong(susan)|~humble(susan))))&
(![X]:((~patient(X)|~calm(X))<=>(strong(X)|old(X))))&
((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(((~tall(susan)&~brave(susan)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(((~humble(lucy)<~>~brave(lucy)))=>(funny(john)))&
((quiet(alice))<=... | ~kind(alice) | [
"p2",
"p6",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7539840231556428299400813
% SZS output start Proof for 7539840231556428299400813
3. ? [X0] : (~kind(X0) <~> ~strong(X0)) => ? [X0] : ~creative(X0) [input p2]
7. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~brave(X0) | humble(X0))) [input p6]
8. ! [X0] : ((creative(X0) | calm(X0)) <=> (~bra... | 0 |
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