premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is either not brave or quiet then alice is not rich and vice versa.
Everyone who is both calm and not wise is either tall or not happy.
Everyone who is not kind is quiet.
Everyone who is not humble or not creative is both creative and humble.
If mary is both not strong and not tall then someone is patient and v... | Mary is quiet. | contradiction | (((~brave(fred)<~>quiet(fred)))<=>(~rich(alice)))&
(![X]:((calm(X)&~wise(X))=>(tall(X)<~>~happy(X))))&
(![X]:(~kind(X)=>quiet(X)))&
(![X]:((~humble(X)|~creative(X))=>(creative(X)&humble(X))))&
(((~strong(mary)&~tall(mary)))<=>(?[X]:(patient(X))))&
(((creative(lucy)|~calm(lucy)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]... | quiet(mary) | [
"p3",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6971792082171716405155435
% SZS output start Proof for 6971792082171716405155435
4. ! [X0] : ((~creative(X0) | ~humble(X0)) => (humble(X0) & creative(X0))) [input p3]
9. ! [X0] : ((calm(X0) | humble(X0)) <=> (~happy(X0) & ~patient(X0))) [input p8]
10. ! [X0] : (patient(X0) <=> (quiet(X0) ... | 0 |
If susan is funny or old then someone is quiet or not creative and vice versa.
If someone is curious then someone is quiet.
If someone is either not curious or not patient then fred is both old and not generous.
If someone is brave then alice is both not quiet and humble.
Everyone who is both not funny and not old is b... | Alice is humble. | entailment | (((funny(susan)|old(susan)))<=>(?[X]:((quiet(X)|~creative(X)))))&
((?[X]:(curious(X)))=>(?[X]:(quiet(X))))&
((?[X]:((~curious(X)<~>~patient(X))))=>((old(fred)&~generous(fred))))&
((?[X]:(brave(X)))=>((~quiet(alice)&humble(alice))))&
(![X]:((~funny(X)&~old(X))<=>(tall(X)&~kind(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=... | humble(alice) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4714924791338358142880268
% SZS output start Proof for 4714924791338358142880268
13. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~curious(X0) & ~calm(X0))) [input p12]
15. ! [X0] : ((calm(X0) & humble(X0)) <=> (~humble(X0) <~> calm(X0))) [input p14]
25. ~humble(alice) [input hypothesis]
5... | 0 |
Everyone who is not tall is not wise or brave and vice versa. Everyone who is not strong or funny is both not quiet and not funny and vice versa. If someone is generous or not curious then lucy is both not old and not humble and vice versa. If someone is either not quiet or brave then susan is either patient or not fun... | Paul is not tall. | entailment | (![X]:(~tall(X)<=>(~wise(X)|brave(X))))&
(![X]:((~strong(X)|funny(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((generous(X)|~curious(X))))<=>((~old(lucy)&~humble(lucy))))&
((?[X]:((~quiet(X)<~>brave(X))))<=>((patient(susan)<~>~funny(susan))))&
(![X]:((humble(X)&~quiet(X))=>kind(X)))&
((?[X]:(rich(X)))<=>((happy(alice)|~old(a... | ~tall(paul) | [
"p0",
"p1",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2745442425979123531433806
% SZS output start Proof for 2745442425979123531433806
1. ! [X0] : (~tall(X0) <=> (brave(X0) | ~wise(X0))) [input p0]
2. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p1]
10. ! [X0] : (rich(X0) => (~strong(X0) <~> ~brave(X0))) [input p... | 0 |
If fred is generous then paul is not old and vice versa.
If someone is funny then someone is either happy or quiet and vice versa.
If someone is either not curious or quiet then someone is both not calm and not brave and vice versa.
Everyone who is not rich is both kind and not tall.
Everyone who is not patient is eith... | Fred is old. | neutral | ((generous(fred))<=>(~old(paul)))&
((?[X]:(funny(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
((?[X]:((~curious(X)<~>quiet(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:(~rich(X)=>(kind(X)&~tall(X))))&
(![X]:(~patient(X)<=>(wise(X)<~>~calm(X))))&
(![X]:(~quiet(X)<=>(strong(X)|happy(X))))&
(![X]:((kind(X)<~>~humble(X))=>(ric... | old(fred) | [] | null | 0 |
Everyone who is kind or not humble is both old and not tall.
Everyone who is strong or old is both not wise and rich and vice versa.
Everyone who is calm or old is both not patient and old and vice versa.
If someone is either not creative or quiet then fred is kind or not happy and vice versa.
If lucy is either not tal... | John is not funny. | contradiction | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|old(X))<=>(~patient(X)&old(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((kind(fred)|~happy(fred))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![... | ~funny(john) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1854181642043064186642272
% SZS output start Proof for 1854181642043064186642272
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((old(X0) | calm(X0)) <=> (old(X0) & ~patient(... | 0 |
Everyone who is either kind or not humble is not creative.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not quiet or not ... | Mary is calm. | entailment | (![X]:((kind(X)<~>~humble(X))=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((... | calm(mary) | [
"p1",
"p3",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4874522365405247878245693
% SZS output start Proof for 4874522365405247878245693
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p3]
11. ? [X0] : (~rich(X0) | ~kind(X0)) => (patient(mary) & ~rich(mary)) [input ... | 0 |
Everyone who is not old or generous is patient. Everyone who is both wise and generous is either not quiet or not generous and vice versa. If paul is not old or not curious then fred is not kind or wise. Everyone who is not quiet or not kind is both creative and not old and vice versa. If someone is either not curious ... | Fred is not wise. | entailment | (![X]:((~old(X)|generous(X))=>patient(X)))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)<~>~generous(X))))&
(((~old(paul)|~curious(paul)))=>((~kind(fred)|wise(fred))))&
(![X]:((~quiet(X)|~kind(X))<=>(creative(X)&~old(X))))&
((?[X]:((~curious(X)<~>~brave(X))))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((generous(X)&curious(X))... | ~wise(fred) | [
"p1",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7352309437221492632507446
% SZS output start Proof for 7352309437221492632507446
2. ! [X0] : ((generous(X0) & wise(X0)) <=> (~quiet(X0) <~> ~generous(X0))) [input p1]
6. ! [X0] : ((curious(X0) & generous(X0)) <=> (~quiet(X0) | humble(X0))) [input p5]
20. ~quiet(fred) <~> generous(fred) [i... | 0 |
If someone is both brave and not brave then fred is humble or not patient.
Everyone who is not strong is not patient and vice versa.
If someone is either not funny or kind then someone is either creative or not funny and vice versa.
If john is not humble then mary is both not strong and not patient and vice versa.
Ever... | Mary is patient. | neutral | ((?[X]:((brave(X)&~brave(X))))=>((humble(fred)|~patient(fred))))&
(![X]:(~strong(X)<=>~patient(X)))&
((?[X]:((~funny(X)<~>kind(X))))<=>(?[X]:((creative(X)<~>~funny(X)))))&
((~humble(john))<=>((~strong(mary)&~patient(mary))))&
(![X]:((~old(X)&~rich(X))<=>(rich(X)<~>calm(X))))&
(![X]:((~old(X)<~>~strong(X))<=>strong(X)))... | patient(mary) | [] | null | 0 |
Everyone who is happy is wise. Everyone who is either not calm or not curious is both not old and not happy. Everyone who is quiet is both brave and not quiet. If susan is not humble or not strong then susan is brave or not curious and vice versa. If someone is not wise then someone is both brave and quiet and vice ver... | John is not old. | contradiction | (![X]:(happy(X)=>wise(X)))&
(![X]:((~calm(X)<~>~curious(X))=>(~old(X)&~happy(X))))&
(![X]:(quiet(X)=>(brave(X)&~quiet(X))))&
(((~humble(susan)|~strong(susan)))<=>((brave(susan)|~curious(susan))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((~calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((?[X]:((old(X)&pati... | ~old(john) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 551420436351742573968796
% SZS output start Proof for 551420436351742573968796
3. ! [X0] : (quiet(X0) => (~quiet(X0) & brave(X0))) [input p2]
5. ? [X0] : ~wise(X0) <=> ? [X0] : (quiet(X0) & brave(X0)) [input p4]
8. ~wise(susan) <=> ? [X0] : (~generous(X0) & kind(X0)) [input p7]
10. ! [X0]... | 0 |
If susan is not brave then paul is patient and vice versa. Everyone who is not generous is either not patient or calm and vice versa. If someone is not brave or calm then someone is either not tall or rich and vice versa. If lucy is not brave or happy then someone is either not brave or not tall. Everyone who is either... | Fred is not brave. | entailment | ((~brave(susan))<=>(patient(paul)))&
(![X]:(~generous(X)<=>(~patient(X)<~>calm(X))))&
((?[X]:((~brave(X)|calm(X))))<=>(?[X]:((~tall(X)<~>rich(X)))))&
(((~brave(lucy)|happy(lucy)))=>(?[X]:((~brave(X)<~>~tall(X)))))&
(![X]:((~strong(X)<~>~creative(X))<=>curious(X)))&
(![X]:(humble(X)<=>(quiet(X)|~humble(X))))&
((?[X]:((~... | ~brave(fred) | [
"p5",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4948061942762588710493204
% SZS output start Proof for 4948061942762588710493204
6. ! [X0] : (humble(X0) <=> (~humble(X0) | quiet(X0))) [input p5]
9. ! [X0] : ((quiet(X0) | ~brave(X0)) => (brave(X0) <~> ~curious(X0))) [input p8]
21. ~old(fred) & ~curious(fred) [input p20]
24. brave(fred) ... | 0 |
Everyone who is not calm is not creative or rich and vice versa. If mary is both humble and kind then susan is either calm or not old and vice versa. Everyone who is happy is either not happy or brave. If someone is both brave and happy then alice is either quiet or not old and vice versa. Everyone who is both not curi... | Paul is generous. | neutral | (![X]:(~calm(X)<=>(~creative(X)|rich(X))))&
(((humble(mary)&kind(mary)))<=>((calm(susan)<~>~old(susan))))&
(![X]:(happy(X)=>(~happy(X)<~>brave(X))))&
((?[X]:((brave(X)&happy(X))))<=>((quiet(alice)<~>~old(alice))))&
(![X]:((~curious(X)&creative(X))=>~humble(X)))&
(![X]:((funny(X)|~creative(X))=>(~old(X)&kind(X))))&
(![X... | generous(paul) | [] | null | 0 |
If someone is both humble and strong then lucy is either not creative or not funny.
Everyone who is calm is brave or not brave.
If someone is not wise then john is both kind and not quiet and vice versa.
Everyone who is either funny or old is both not tall and quiet and vice versa.
If someone is not creative or brave t... | Lucy is generous. | neutral | ((?[X]:((humble(X)&strong(X))))=>((~creative(lucy)<~>~funny(lucy))))&
(![X]:(calm(X)=>(brave(X)|~brave(X))))&
((?[X]:(~wise(X)))<=>((kind(john)&~quiet(john))))&
(![X]:((funny(X)<~>old(X))<=>(~tall(X)&quiet(X))))&
((?[X]:((~creative(X)|brave(X))))=>(calm(fred)))&
((brave(fred))<=>((old(john)|~happy(john))))&
((?[X]:((ki... | generous(lucy) | [] | null | 0 |
Everyone who is not kind or not patient is either brave or calm and vice versa. If someone is patient or not kind then someone is both not funny and tall and vice versa. If someone is either calm or not curious then someone is both not tall and not brave. Everyone who is either curious or not tall is creative or not qu... | Paul is curious. | contradiction | (![X]:((~kind(X)|~patient(X))<=>(brave(X)<~>calm(X))))&
((?[X]:((patient(X)|~kind(X))))<=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:((calm(X)<~>~curious(X))))=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>(creative(X)|~quiet(X))))&
(![X]:((old(X)<~>~strong(X))<=>~strong(X)))&
((?[X]:((old(X)<~>wise(X)))... | curious(paul) | [
"p1",
"p6",
"p8",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6850079416662331597166646
% SZS output start Proof for 6850079416662331597166646
2. ? [X0] : (~kind(X0) | patient(X0)) <=> ? [X0] : (tall(X0) & ~funny(X0)) [input p1]
7. ! [X0] : ((funny(X0) | happy(X0)) <=> (~brave(X0) | funny(X0))) [input p6]
9. ! [X0] : ((~generous(X0) | humble(X0)) <=... | 0 |
If someone is rich then fred is either not funny or humble. If someone is kind or tall then alice is either not kind or not creative. If someone is not kind or not brave then susan is not strong and vice versa. If fred is both creative and not old then someone is brave. Everyone who is either not brave or wise is eithe... | Susan is not brave. | contradiction | ((?[X]:(rich(X)))=>((~funny(fred)<~>humble(fred))))&
((?[X]:((kind(X)|tall(X))))=>((~kind(alice)<~>~creative(alice))))&
((?[X]:((~kind(X)|~brave(X))))<=>(~strong(susan)))&
(((creative(fred)&~old(fred)))=>(?[X]:(brave(X))))&
(![X]:((~brave(X)<~>wise(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((~creative(X)<~>old(X))<=>(~calm(... | ~brave(susan) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9112852176156564317903387
% SZS output start Proof for 9112852176156564317903387
7. ! [X0] : ((~creative(X0) <~> ~brave(X0)) <=> (~creative(X0) & ~tall(X0))) [input p6]
8. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> ~tall(X0)) [input p7]
25. ~brave(susan) [input hypothesis]
51. ! [X0] : ((((... | 0 |
Everyone who is either quiet or curious is curious or generous.
If mary is not brave or funny then fred is both quiet and not strong.
If lucy is happy then fred is either curious or not calm.
If john is either brave or funny then someone is not humble and vice versa.
Everyone who is not brave or not wise is both not ge... | Lucy is not creative. | neutral | (![X]:((quiet(X)<~>curious(X))=>(curious(X)|generous(X))))&
(((~brave(mary)|funny(mary)))=>((quiet(fred)&~strong(fred))))&
((happy(lucy))=>((curious(fred)<~>~calm(fred))))&
(((brave(john)<~>funny(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)|~wise(X))<=>(~generous(X)&~humble(X))))&
((?[X]:((~quiet(X)|wise(X))))<=>(... | ~creative(lucy) | [] | null | 0 |
Everyone who is both strong and not rich is not calm or not brave.
If mary is not generous then someone is both kind and brave and vice versa.
Everyone who is tall is creative or kind.
Everyone who is both not happy and brave is either brave or curious and vice versa.
If john is either rich or not tall then mary is eit... | John is happy. | neutral | (![X]:((strong(X)&~rich(X))=>(~calm(X)|~brave(X))))&
((~generous(mary))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(tall(X)=>(creative(X)|kind(X))))&
(![X]:((~happy(X)&brave(X))<=>(brave(X)<~>curious(X))))&
(((rich(john)<~>~tall(john)))=>((generous(mary)<~>creative(mary))))&
((rich(paul))<=>(?[X]:((~tall(X)&wise(X)))))&
(![... | happy(john) | [] | null | 0 |
If someone is rich then lucy is not tall or funny and vice versa. If someone is not humble or calm then someone is either quiet or not tall and vice versa. Everyone who is either not funny or happy is not strong. If someone is both not wise and not curious then mary is both old and not humble. If someone is both curiou... | Paul is happy. | entailment | ((?[X]:(rich(X)))<=>((~tall(lucy)|funny(lucy))))&
((?[X]:((~humble(X)|calm(X))))<=>(?[X]:((quiet(X)<~>~tall(X)))))&
(![X]:((~funny(X)<~>happy(X))=>~strong(X)))&
((?[X]:((~wise(X)&~curious(X))))=>((old(mary)&~humble(mary))))&
((?[X]:((curious(X)&rich(X))))<=>((~old(john)&funny(john))))&
(((~strong(alice)|quiet(alice)))=... | happy(paul) | [
"p2",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 401553884221390903793029
% SZS output start Proof for 401553884221390903793029
3. ! [X0] : ((~funny(X0) <~> happy(X0)) => ~strong(X0)) [input p2]
13. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (funny(X0) & old(X0))) [input p12]
20. ~curious(paul) & ~funny(paul) [input p19]
24. ~happy(paul) [i... | 0 |
If someone is curious or strong then fred is brave.
If someone is not humble or happy then someone is not brave or creative and vice versa.
Everyone who is generous or not tall is either kind or not strong.
If someone is not old then lucy is either not curious or not generous and vice versa.
Everyone who is either tall... | Lucy is curious. | entailment | ((?[X]:((curious(X)|strong(X))))=>(brave(fred)))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~brave(X)|creative(X)))))&
(![X]:((generous(X)|~tall(X))=>(kind(X)<~>~strong(X))))&
((?[X]:(~old(X)))<=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))... | curious(lucy) | [
"p4",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4660199582409819100387148
% SZS output start Proof for 4660199582409819100387148
5. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
13. ! [X0] : ((~calm(X0) <~> curious(X0)) => (wise(X0) & ~tall(X0))) [input p12]
16. ! [X0] : ((calm(X0) <~> ~quiet(X0)) <=> (kind... | 0 |
Everyone who is kind or not happy is both happy and tall.
If paul is curious then someone is both not strong and funny and vice versa.
If someone is not wise then alice is both wise and tall.
Everyone who is either not strong or not curious is both not calm and quiet.
Everyone who is creative is not wise and vice versa... | Lucy is brave. | contradiction | (![X]:((kind(X)|~happy(X))=>(happy(X)&tall(X))))&
((curious(paul))<=>(?[X]:((~strong(X)&funny(X)))))&
((?[X]:(~wise(X)))=>((wise(alice)&tall(alice))))&
(![X]:((~strong(X)<~>~curious(X))=>(~calm(X)&quiet(X))))&
(![X]:(creative(X)<=>~wise(X)))&
(((old(susan)|~old(susan)))=>(?[X]:(creative(X))))&
((?[X]:((funny(X)|brave(X... | brave(lucy) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4565815380348043058384742
% SZS output start Proof for 4565815380348043058384742
1. ! [X0] : ((~happy(X0) | kind(X0)) => (tall(X0) & happy(X0))) [input p0]
7. ? [X0] : (brave(X0) | funny(X0)) => (~happy(paul) & wise(paul)) [input p6]
22. brave(lucy) [input hypothesis]
28. ! [X0] : ((tall(... | 0 |
Everyone who is not rich or not humble is both happy and not happy.
Everyone who is patient or creative is not creative or not generous.
If someone is either old or not old then someone is not brave.
If someone is brave or not funny then paul is either not creative or not old.
Everyone who is either calm or strong is f... | Susan is quiet. | contradiction | (![X]:((~rich(X)|~humble(X))=>(happy(X)&~happy(X))))&
(![X]:((patient(X)|creative(X))=>(~creative(X)|~generous(X))))&
((?[X]:((old(X)<~>~old(X))))=>(?[X]:(~brave(X))))&
((?[X]:((brave(X)|~funny(X))))=>((~creative(paul)<~>~old(paul))))&
(![X]:((calm(X)<~>strong(X))<=>funny(X)))&
((?[X]:(~rich(X)))=>(?[X]:((old(X)&happy(... | quiet(susan) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7142459166982557934175707
% SZS output start Proof for 7142459166982557934175707
1. ! [X0] : ((~humble(X0) | ~rich(X0)) => (~happy(X0) & happy(X0))) [input p0]
12. ! [X0] : ((quiet(X0) | ~happy(X0)) => (humble(X0) <~> rich(X0))) [input p11]
25. quiet(susan) [input hypothesis]
30. ! [X0] :... | 0 |
Everyone who is not brave is not calm and vice versa.
Everyone who is not rich is both humble and patient.
If paul is both generous and not generous then someone is not rich or kind and vice versa.
Everyone who is either not strong or not calm is patient.
Everyone who is either strong or brave is either not creative or... | Fred is quiet. | entailment | (![X]:(~brave(X)<=>~calm(X)))&
(![X]:(~rich(X)=>(humble(X)&patient(X))))&
(((generous(paul)&~generous(paul)))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~strong(X)<~>~calm(X))=>patient(X)))&
(![X]:((strong(X)<~>brave(X))=>(~creative(X)<~>humble(X))))&
((rich(mary))<=>((~patient(alice)|~happy(alice))))&
(![X]:((creative(X)... | quiet(fred) | [
"p0",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8470581619192625180600104
% SZS output start Proof for 8470581619192625180600104
1. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p0]
16. ! [X0] : ((~curious(X0) & ~quiet(X0)) <=> (calm(X0) <~> brave(X0))) [input p15]
18. ~curious(fred) & ~patient(fred) [input p17]
24. ~quiet(fred) [input hy... | 0 |
If john is calm or not tall then mary is not generous or not patient.
Everyone who is not kind is not tall.
If someone is not brave or old then someone is not strong.
If mary is both calm and not funny then alice is not creative or not brave and vice versa.
If someone is wise or not rich then susan is not generous and ... | Lucy is not old. | entailment | (((calm(john)|~tall(john)))=>((~generous(mary)|~patient(mary))))&
(![X]:(~kind(X)=>~tall(X)))&
((?[X]:((~brave(X)|old(X))))=>(?[X]:(~strong(X))))&
(((calm(mary)&~funny(mary)))<=>((~creative(alice)|~brave(alice))))&
((?[X]:((wise(X)|~rich(X))))<=>(~generous(susan)))&
(((old(fred)|~rich(fred)))=>(?[X]:(~humble(X))))&
((?... | ~old(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4196518433150235382324065
% SZS output start Proof for 4196518433150235382324065
8. ! [X0] : ((~wise(X0) & wise(X0)) <=> (~brave(X0) | old(X0))) [input p7]
23. old(lucy) [input hypothesis]
50. ! [X0] : (((~wise(X0) & wise(X0)) | (brave(X0) & ~old(X0))) & ((~brave(X0) | old(X0)) | (wise(X0... | 0 |
If someone is both happy and not generous then someone is strong or not wise and vice versa.
If fred is tall or not patient then lucy is not strong or creative.
If alice is tall or not patient then someone is both humble and patient.
Everyone who is either not wise or not creative is either not funny or not tall.
If so... | Paul is not rich. | entailment | ((?[X]:((happy(X)&~generous(X))))<=>(?[X]:((strong(X)|~wise(X)))))&
(((tall(fred)|~patient(fred)))=>((~strong(lucy)|creative(lucy))))&
(((tall(alice)|~patient(alice)))=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((~wise(X)<~>~creative(X))=>(~funny(X)<~>~tall(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:((~kind(X)<~>fun... | ~rich(paul) | [
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1899056695462729935356400
% SZS output start Proof for 1899056695462729935356400
10. ? [X0] : (creative(X0) | rich(X0)) <=> old(paul) [input p9]
11. ! [X0] : ((strong(X0) | wise(X0)) => (~wise(X0) | ~old(X0))) [input p10]
13. ! [X0] : ((old(X0) | happy(X0)) => (wise(X0) & brave(X0))) [inp... | 0 |
If someone is either calm or not tall then susan is not curious or rich. Everyone who is rich is creative and vice versa. If someone is either not patient or funny then someone is both not humble and old and vice versa. Everyone who is both tall and not humble is either old or not strong and vice versa. Everyone who is... | John is not patient. | neutral | ((?[X]:((calm(X)<~>~tall(X))))=>((~curious(susan)|rich(susan))))&
(![X]:(rich(X)<=>creative(X)))&
((?[X]:((~patient(X)<~>funny(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:((tall(X)&~humble(X))<=>(old(X)<~>~strong(X))))&
(![X]:((~happy(X)&~brave(X))=>(~wise(X)|generous(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)&~old(... | ~patient(john) | [] | null | 0 |
Everyone who is not patient is either not rich or not happy.
Everyone who is both wise and quiet is not creative and vice versa.
If someone is not tall or calm then someone is not quiet and vice versa.
Everyone who is both not happy and calm is either patient or generous and vice versa.
Everyone who is curious or not c... | Susan is tall. | contradiction | (![X]:(~patient(X)=>(~rich(X)<~>~happy(X))))&
(![X]:((wise(X)&quiet(X))<=>~creative(X)))&
((?[X]:((~tall(X)|calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&calm(X))<=>(patient(X)<~>generous(X))))&
(![X]:((curious(X)|~creative(X))<=>(~kind(X)|kind(X))))&
(![X]:((~funny(X)<~>~wise(X))=>(funny(X)<~>~wise(X))))&
(((~ha... | tall(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4310377051715136126247588
% SZS output start Proof for 4310377051715136126247588
18. ~tall(susan) [input p17]
24. tall(susan) [input hypothesis]
136. ~tall(susan) [cnf transformation 18]
142. tall(susan) [cnf transformation 24]
306. $false [subsumption resolution 142,136]
% SZS output end... | 0 |
Everyone who is either strong or not curious is either creative or strong. Everyone who is calm or not old is either brave or not brave. Everyone who is not patient or not rich is not generous or curious. Everyone who is either not happy or humble is quiet or happy and vice versa. If someone is both creative and not cr... | John is strong. | contradiction | (![X]:((strong(X)<~>~curious(X))=>(creative(X)<~>strong(X))))&
(![X]:((calm(X)|~old(X))=>(brave(X)<~>~brave(X))))&
(![X]:((~patient(X)|~rich(X))=>(~generous(X)|curious(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(quiet(X)|happy(X))))&
((?[X]:((creative(X)&~creative(X))))=>(old(john)))&
((?[X]:((humble(X)&funny(X))))<=>(?[X... | strong(john) | [
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8441304591840877582286829
% SZS output start Proof for 8441304591840877582286829
7. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> rich(X0)) [input p6]
10. ! [X0] : ((strong(X0) | funny(X0)) => (~brave(X0) & ~happy(X0))) [input p9]
11. ! [X0] : ((rich(X0) & strong(X0)) <=> (brave(X0) & strong(X... | 0 |
Everyone who is kind is both not happy and rich. If someone is calm or not funny then fred is not funny. If someone is both not old and not brave then fred is either not rich or wise and vice versa. If someone is both not wise and not generous then someone is either not kind or not curious and vice versa. Everyone who ... | Alice is rich. | contradiction | (![X]:(kind(X)=>(~happy(X)&rich(X))))&
((?[X]:((calm(X)|~funny(X))))=>(~funny(fred)))&
((?[X]:((~old(X)&~brave(X))))<=>((~rich(fred)<~>wise(fred))))&
((?[X]:((~wise(X)&~generous(X))))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:(happy(X)=>~rich(X)))&
((?[X]:((kind(X)&humble(X))))=>(strong(mary)))&
((?[X]:((kind(X)&wise... | rich(alice) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2434080771030905962832736
% SZS output start Proof for 2434080771030905962832736
5. ! [X0] : (happy(X0) => ~rich(X0)) [input p4]
10. (~old(alice) & happy(alice)) <=> ? [X0] : (rich(X0) & ~happy(X0)) [input p9]
24. rich(alice) [input hypothesis]
29. ! [X0] : (~rich(X0) | ~happy(X0)) [ennf ... | 0 |
Everyone who is not curious is either rich or creative.
Everyone who is either funny or kind is not curious or creative.
If susan is not brave then someone is not happy or not rich.
If susan is strong or tall then paul is not strong or not tall and vice versa.
Everyone who is both not kind and not tall is not tall.
Eve... | John is rich. | neutral | (![X]:(~curious(X)=>(rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>kind(X))=>(~curious(X)|creative(X))))&
((~brave(susan))=>(?[X]:((~happy(X)|~rich(X)))))&
(((strong(susan)|tall(susan)))<=>((~strong(paul)|~tall(paul))))&
(![X]:((~kind(X)&~tall(X))=>~tall(X)))&
(![X]:((generous(X)|rich(X))<=>~funny(X)))&
(![X]:((~calm(X)... | rich(john) | [] | null | 0 |
Everyone who is not happy or brave is not patient and vice versa.
If mary is curious or not rich then fred is either not calm or humble and vice versa.
Everyone who is either not patient or generous is either tall or wise and vice versa.
If someone is both calm and not generous then fred is both patient and funny.
Ever... | Lucy is not happy. | entailment | (![X]:((~happy(X)|brave(X))<=>~patient(X)))&
(((curious(mary)|~rich(mary)))<=>((~calm(fred)<~>humble(fred))))&
(![X]:((~patient(X)<~>generous(X))<=>(tall(X)<~>wise(X))))&
((?[X]:((calm(X)&~generous(X))))=>((patient(fred)&funny(fred))))&
(![X]:((~generous(X)<~>happy(X))<=>~tall(X)))&
((tall(lucy))<=>(?[X]:((~tall(X)<~>k... | ~happy(lucy) | [
"p4",
"p5",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4038557562436753582882276
% SZS output start Proof for 4038557562436753582882276
5. ! [X0] : ((~generous(X0) <~> happy(X0)) <=> ~tall(X0)) [input p4]
6. tall(lucy) <=> ? [X0] : (~tall(X0) <~> kind(X0)) [input p5]
8. ! [X0] : ((~kind(X0) & humble(X0)) <=> (calm(X0) | ~calm(X0))) [input p7]... | 0 |
If susan is not quiet or tall then mary is either not old or not generous. Everyone who is humble is either rich or not quiet. If someone is either strong or humble then paul is both not kind and not funny. If john is strong then someone is not strong or quiet and vice versa. If someone is both not brave and strong the... | John is strong. | entailment | (((~quiet(susan)|tall(susan)))=>((~old(mary)<~>~generous(mary))))&
(![X]:(humble(X)=>(rich(X)<~>~quiet(X))))&
((?[X]:((strong(X)<~>humble(X))))=>((~kind(paul)&~funny(paul))))&
((strong(john))<=>(?[X]:((~strong(X)|quiet(X)))))&
((?[X]:((~brave(X)&strong(X))))=>(?[X]:((~happy(X)<~>~strong(X)))))&
(((~brave(mary)<~>genero... | strong(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5657677974700340537653940
% SZS output start Proof for 5657677974700340537653940
4. strong(john) <=> ? [X0] : (quiet(X0) | ~strong(X0)) [input p3]
25. ~strong(john) [input hypothesis]
41. (strong(john) | ! [X0] : (~quiet(X0) & strong(X0))) & (? [X0] : (quiet(X0) | ~strong(X0)) | ~strong(j... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Susan is not generous. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | ~generous(susan) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4433003314153593821250763
% SZS output start Proof for 4433003314153593821250763
1. ! [X0] : (~brave(X0) <=> (~strong(X0) <~> rich(X0))) [input p0]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [input p3]
6. ! [X0... | 0 |
If someone is both generous and kind then someone is both kind and not quiet. If someone is both not strong and curious then paul is wise and vice versa. Everyone who is not tall or not calm is generous or not curious and vice versa. Everyone who is either not curious or generous is either not happy or not funny. If lu... | Susan is happy. | entailment | ((?[X]:((generous(X)&kind(X))))=>(?[X]:((kind(X)&~quiet(X)))))&
((?[X]:((~strong(X)&curious(X))))<=>(wise(paul)))&
(![X]:((~tall(X)|~calm(X))<=>(generous(X)|~curious(X))))&
(![X]:((~curious(X)<~>generous(X))=>(~happy(X)<~>~funny(X))))&
((rich(lucy))=>(funny(alice)))&
(![X]:(generous(X)<=>(~strong(X)|rich(X))))&
((?[X]:... | happy(susan) | [
"p0",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 542625351335232409211095
% SZS output start Proof for 542625351335232409211095
1. ? [X0] : (kind(X0) & generous(X0)) => ? [X0] : (~quiet(X0) & kind(X0)) [input p0]
7. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p6]
9. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> happy(X0)) [input... | 0 |
Everyone who is tall is not rich.
Everyone who is quiet or old is either happy or not strong and vice versa.
Everyone who is both not patient and not creative is not rich and vice versa.
If lucy is either happy or generous then someone is patient or not curious.
Everyone who is strong or tall is old.
If lucy is either ... | Mary is old. | entailment | (![X]:(tall(X)=>~rich(X)))&
(![X]:((quiet(X)|old(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~patient(X)&~creative(X))<=>~rich(X)))&
(((happy(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)|~curious(X)))))&
(![X]:((strong(X)|tall(X))=>old(X)))&
(((~funny(lucy)<~>kind(lucy)))<=>(calm(fred)))&
(![X]:((calm(X)&happy(X))=>(~old(... | old(mary) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7455452032590816124548638
% SZS output start Proof for 7455452032590816124548638
5. ! [X0] : ((tall(X0) | strong(X0)) => old(X0)) [input p4]
9. ! [X0] : (~old(X0) <=> strong(X0)) [input p8]
24. ~old(mary) [input hypothesis]
28. ! [X0] : (old(X0) | (~tall(X0) & ~strong(X0))) [ennf transfor... | 0 |
Everyone who is creative or not calm is both not tall and generous. Everyone who is either funny or not strong is both old and creative and vice versa. Everyone who is not strong is either not happy or humble and vice versa. Everyone who is creative or not funny is calm or not humble. Everyone who is not rich or not cu... | Alice is curious. | neutral | (![X]:((creative(X)|~calm(X))=>(~tall(X)&generous(X))))&
(![X]:((funny(X)<~>~strong(X))<=>(old(X)&creative(X))))&
(![X]:(~strong(X)<=>(~happy(X)<~>humble(X))))&
(![X]:((creative(X)|~funny(X))=>(calm(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>patient(X)))&
(((~brave(alice)<~>patient(alice)))=>((~tall(mary)<~>~bra... | curious(alice) | [] | null | 0 |
Everyone who is not patient is not humble and vice versa.
Everyone who is brave is either not happy or happy and vice versa.
If susan is not funny or not kind then someone is not tall.
Everyone who is not creative is not rich.
Everyone who is either not funny or humble is curious or not happy.
If fred is calm or brave ... | Susan is humble. | neutral | (![X]:(~patient(X)<=>~humble(X)))&
(![X]:(brave(X)<=>(~happy(X)<~>happy(X))))&
(((~funny(susan)|~kind(susan)))=>(?[X]:(~tall(X))))&
(![X]:(~creative(X)=>~rich(X)))&
(![X]:((~funny(X)<~>humble(X))=>(curious(X)|~happy(X))))&
(((calm(fred)|brave(fred)))=>(?[X]:(strong(X))))&
(![X]:(brave(X)<=>(~calm(X)<~>~old(X))))&
(((fu... | humble(susan) | [] | null | 0 |
Everyone who is kind or calm is happy and vice versa. Everyone who is either not patient or brave is creative and vice versa. If someone is not generous or not wise then lucy is both quiet and not quiet and vice versa. Everyone who is either not strong or creative is either not humble or not creative and vice versa. If... | Susan is not humble. | entailment | (![X]:((kind(X)|calm(X))<=>happy(X)))&
(![X]:((~patient(X)<~>brave(X))<=>creative(X)))&
((?[X]:((~generous(X)|~wise(X))))<=>((quiet(lucy)&~quiet(lucy))))&
(![X]:((~strong(X)<~>creative(X))<=>(~humble(X)<~>~creative(X))))&
(((funny(john)&kind(john)))<=>(?[X]:(brave(X))))&
(((~strong(lucy)|patient(lucy)))<=>((humble(paul... | ~humble(susan) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8400860941898583446987929
% SZS output start Proof for 8400860941898583446987929
1. ! [X0] : ((calm(X0) | kind(X0)) <=> happy(X0)) [input p0]
3. ? [X0] : (~wise(X0) | ~generous(X0)) <=> (~quiet(lucy) & quiet(lucy)) [input p2]
4. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> (~humble(X0) <~... | 0 |
If someone is either creative or not kind then mary is both creative and strong.
Everyone who is both wise and not old is both not quiet and wise and vice versa.
Everyone who is both humble and quiet is calm.
If lucy is not quiet or not creative then mary is both not patient and quiet.
Everyone who is not wise is not k... | Mary is not calm. | neutral | ((?[X]:((creative(X)<~>~kind(X))))=>((creative(mary)&strong(mary))))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&wise(X))))&
(![X]:((humble(X)&quiet(X))=>calm(X)))&
(((~quiet(lucy)|~creative(lucy)))=>((~patient(mary)&quiet(mary))))&
(![X]:(~wise(X)<=>~kind(X)))&
(![X]:((tall(X)<~>~curious(X))=>(calm(X)|~patient(X))))&
((hap... | ~calm(mary) | [] | null | 0 |
Everyone who is both not brave and happy is both creative and strong.
Everyone who is both tall and humble is both not patient and strong.
If susan is both not creative and wise then john is both tall and not rich.
Everyone who is both not rich and not strong is either kind or not tall.
Everyone who is both not old and... | John is creative. | neutral | (![X]:((~brave(X)&happy(X))=>(creative(X)&strong(X))))&
(![X]:((tall(X)&humble(X))=>(~patient(X)&strong(X))))&
(((~creative(susan)&wise(susan)))=>((tall(john)&~rich(john))))&
(![X]:((~rich(X)&~strong(X))=>(kind(X)<~>~tall(X))))&
(![X]:((~old(X)&~generous(X))=>(strong(X)&tall(X))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:... | creative(john) | [] | null | 0 |
If someone is generous then mary is not tall or not quiet and vice versa.
Everyone who is either curious or not funny is both strong and not patient and vice versa.
If someone is not rich or not quiet then alice is both calm and not old.
If someone is rich or strong then mary is not strong or not tall.
Everyone who is ... | Alice is patient. | contradiction | ((?[X]:(generous(X)))<=>((~tall(mary)|~quiet(mary))))&
(![X]:((curious(X)<~>~funny(X))<=>(strong(X)&~patient(X))))&
((?[X]:((~rich(X)|~quiet(X))))=>((calm(alice)&~old(alice))))&
((?[X]:((rich(X)|strong(X))))=>((~strong(mary)|~tall(mary))))&
(![X]:((~funny(X)<~>humble(X))=>(~old(X)&curious(X))))&
(![X]:((funny(X)|kind(X... | patient(alice) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3057855468782077577644509
% SZS output start Proof for 3057855468782077577644509
1. ? [X0] : generous(X0) <=> (~quiet(mary) | ~tall(mary)) [input p0]
2. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (~patient(X0) & strong(X0))) [input p1]
3. ? [X0] : (~quiet(X0) | ~rich(X0)) => (~old(alice) ... | 0 |
Everyone who is both quiet and not rich is both not kind and not tall. If someone is either not curious or curious then mary is funny or brave and vice versa. If someone is curious or not rich then fred is not quiet or not strong. Everyone who is either funny or curious is either curious or not rich and vice versa. Eve... | John is funny. | contradiction | (![X]:((quiet(X)&~rich(X))=>(~kind(X)&~tall(X))))&
((?[X]:((~curious(X)<~>curious(X))))<=>((funny(mary)|brave(mary))))&
((?[X]:((curious(X)|~rich(X))))=>((~quiet(fred)|~strong(fred))))&
(![X]:((funny(X)<~>curious(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~brave(X)|~strong(X))))&
(![X]:((creati... | funny(john) | [
"p3",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 303153385895510960563395
% SZS output start Proof for 303153385895510960563395
4. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (curious(X0) <~> ~rich(X0))) [input p3]
6. ! [X0] : ((calm(X0) | creative(X0)) <=> (~quiet(X0) & ~kind(X0))) [input p5]
12. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (~... | 0 |
Everyone who is not humble or funny is not funny or creative and vice versa. Everyone who is funny is both not funny and funny. If mary is quiet or curious then susan is brave and vice versa. Everyone who is both funny and not wise is wise or not creative and vice versa. Everyone who is either not wise or strong is pat... | Lucy is calm. | neutral | (![X]:((~humble(X)|funny(X))<=>(~funny(X)|creative(X))))&
(![X]:(funny(X)=>(~funny(X)&funny(X))))&
(((quiet(mary)|curious(mary)))<=>(brave(susan)))&
(![X]:((funny(X)&~wise(X))<=>(wise(X)|~creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>patient(X)))&
((?[X]:((humble(X)|~curious(X))))<=>((~patient(susan)&~kind(susan))))&
... | calm(lucy) | [] | null | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or old.
If someone is not curious or quiet then alice is either humble or not kind and vice versa.
If someone is not happy then someone is humble.
If someone is not tall or not brave then someone is both no... | Paul is patient. | contradiction | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:((~curious(X)|quiet(X))))<=>((humble(alice)<~>~kind(alice))))&
((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((creative(X)|wise(X))=>quiet(X... | patient(paul) | [
"p0",
"p4",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2838926163554230182352472
% SZS output start Proof for 2838926163554230182352472
1. ! [X0] : ((generous(X0) <~> curious(X0)) => wise(X0)) [input p0]
5. ? [X0] : (~brave(X0) | ~tall(X0)) <=> ? [X0] : (wise(X0) & ~tall(X0)) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => quiet(X0)) [in... | 0 |
If someone is either calm or not quiet then john is not kind and vice versa.
Everyone who is either not brave or not funny is either not kind or not humble and vice versa.
If someone is not creative or not tall then lucy is not funny or not old.
Everyone who is not creative is either not curious or generous and vice ve... | Paul is not tall. | entailment | ((?[X]:((calm(X)<~>~quiet(X))))<=>(~kind(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((~creative(X)|~tall(X))))=>((~funny(lucy)|~old(lucy))))&
(![X]:(~creative(X)<=>(~curious(X)<~>generous(X))))&
(((wise(mary)|~creative(mary)))=>((~curious(mary)<~>~old(mary))))&
(((humble(john)&patient(j... | ~tall(paul) | [
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4720117521869768396486921
% SZS output start Proof for 4720117521869768396486921
7. ! [X0] : ((tall(X0) | ~rich(X0)) => (funny(X0) & ~quiet(X0))) [input p6]
10. ! [X0] : (rich(X0) => (~wise(X0) & ~kind(X0))) [input p9]
12. ! [X0] : ((funny(X0) | strong(X0)) <=> kind(X0)) [input p11]
16. (... | 0 |
Everyone who is not old is both humble and not rich and vice versa. If alice is not tall or strong then susan is not tall or curious and vice versa. If someone is not humble then paul is both not old and not humble. Everyone who is patient is both not calm and strong and vice versa. If someone is not funny then someone... | Paul is funny. | entailment | (![X]:(~old(X)<=>(humble(X)&~rich(X))))&
(((~tall(alice)|strong(alice)))<=>((~tall(susan)|curious(susan))))&
((?[X]:(~humble(X)))=>((~old(paul)&~humble(paul))))&
(![X]:(patient(X)<=>(~calm(X)&strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((quiet(X)&brave(X))<=>~wise(X)))&
(![X]:((tall(X)&g... | funny(paul) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6511440028320905980592659
% SZS output start Proof for 6511440028320905980592659
1. ! [X0] : (~old(X0) <=> (~rich(X0) & humble(X0))) [input p0]
5. ? [X0] : ~funny(X0) <=> ? [X0] : (curious(X0) <~> ~old(X0)) [input p4]
6. ! [X0] : ((brave(X0) & quiet(X0)) <=> ~wise(X0)) [input p5]
11. ? [X... | 0 |
Everyone who is not calm or not strong is not strong or tall and vice versa.
If john is not rich then someone is quiet or old and vice versa.
If lucy is not strong or not wise then mary is either not happy or creative.
Everyone who is not tall is wise and vice versa.
Everyone who is not brave is both not rich and not p... | Alice is not brave. | neutral | (![X]:((~calm(X)|~strong(X))<=>(~strong(X)|tall(X))))&
((~rich(john))<=>(?[X]:((quiet(X)|old(X)))))&
(((~strong(lucy)|~wise(lucy)))=>((~happy(mary)<~>creative(mary))))&
(![X]:(~tall(X)<=>wise(X)))&
(![X]:(~brave(X)=>(~rich(X)&~patient(X))))&
(((~creative(alice)|tall(alice)))<=>((creative(fred)<~>patient(fred))))&
(((hu... | ~brave(alice) | [] | null | 0 |
Everyone who is either not calm or kind is either tall or not rich.
Everyone who is both brave and creative is either not curious or creative and vice versa.
Everyone who is both not calm and not rich is not funny.
Everyone who is either brave or patient is humble.
If mary is not rich or quiet then someone is either ri... | Alice is not patient. | entailment | (![X]:((~calm(X)<~>kind(X))=>(tall(X)<~>~rich(X))))&
(![X]:((brave(X)&creative(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~calm(X)&~rich(X))=>~funny(X)))&
(![X]:((brave(X)<~>patient(X))=>humble(X)))&
(((~rich(mary)|quiet(mary)))=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((brave(X)<~>~curious(X))=>quiet(X)))&
((?[X]:((h... | ~patient(alice) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5964825748038770619167896
% SZS output start Proof for 5964825748038770619167896
13. ! [X0] : ((~wise(X0) <~> patient(X0)) <=> (~humble(X0) | ~wise(X0))) [input p12]
20. ~wise(alice) [input p19]
24. patient(alice) [input hypothesis]
60. ! [X0] : ((((~patient(X0) | wise(X0)) & (patient(X0)... | 0 |
Everyone who is not generous is both not kind and rich. Everyone who is curious is either rich or brave and vice versa. If susan is calm then someone is either not quiet or not funny and vice versa. Everyone who is old is brave or not calm and vice versa. If someone is funny or not humble then susan is happy or humble ... | Lucy is not generous. | neutral | (![X]:(~generous(X)=>(~kind(X)&rich(X))))&
(![X]:(curious(X)<=>(rich(X)<~>brave(X))))&
((calm(susan))<=>(?[X]:((~quiet(X)<~>~funny(X)))))&
(![X]:(old(X)<=>(brave(X)|~calm(X))))&
((?[X]:((funny(X)|~humble(X))))<=>((happy(susan)|humble(susan))))&
(![X]:(~humble(X)=>(old(X)|patient(X))))&
(((quiet(mary)&~kind(mary)))<=>(c... | ~generous(lucy) | [] | null | 0 |
Everyone who is not patient is both not creative and not tall and vice versa.
If someone is happy or calm then someone is both calm and creative and vice versa.
Everyone who is either not strong or kind is not funny or not curious.
If someone is either not generous or curious then john is rich.
Everyone who is either n... | John is brave. | neutral | (![X]:(~patient(X)<=>(~creative(X)&~tall(X))))&
((?[X]:((happy(X)|calm(X))))<=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((~strong(X)<~>kind(X))=>(~funny(X)|~curious(X))))&
((?[X]:((~generous(X)<~>curious(X))))=>(rich(john)))&
(![X]:((~humble(X)<~>kind(X))<=>(~creative(X)|old(X))))&
(![X]:((~brave(X)|~curious(X))<=>(calm(... | brave(john) | [] | null | 0 |
If alice is not creative or not quiet then mary is creative and vice versa.
Everyone who is both patient and brave is tall or not curious and vice versa.
If lucy is brave or old then someone is either rich or not curious and vice versa.
Everyone who is rich is either generous or quiet and vice versa.
If someone is calm... | Fred is old. | neutral | (((~creative(alice)|~quiet(alice)))<=>(creative(mary)))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|~curious(X))))&
(((brave(lucy)|old(lucy)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:(rich(X)<=>(generous(X)<~>quiet(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:(tall(X))))&
(![X]:(~strong(X)=>(strong(X)&~quiet(X))))&
((~ri... | old(fred) | [] | null | 0 |
If someone is both not kind and curious then mary is patient.
If someone is funny or not curious then someone is humble or not wise.
Everyone who is not quiet or wise is not generous and vice versa.
If susan is not humble then someone is both not wise and not quiet and vice versa.
Everyone who is patient or curious is ... | Lucy is not generous. | entailment | ((?[X]:((~kind(X)&curious(X))))=>(patient(mary)))&
((?[X]:((funny(X)|~curious(X))))=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((~quiet(X)|wise(X))<=>~generous(X)))&
((~humble(susan))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:((patient(X)|curious(X))=>(brave(X)<~>calm(X))))&
(![X]:((generous(X)&~wise(X))<=>(old(X)<~>~patient... | ~generous(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2250293910044892115283195
% SZS output start Proof for 2250293910044892115283195
12. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> generous(X0)) [input p11]
24. generous(lucy) [input hypothesis]
56. ! [X0] : (((~generous(X0) & ~wise(X0)) | ~generous(X0)) & (generous(X0) | (generous(X0) | wise... | 0 |
If someone is generous then paul is not brave and vice versa. Everyone who is not strong or not old is not generous and vice versa. Everyone who is calm is either not wise or not kind and vice versa. If lucy is not tall or funny then susan is either not humble or funny. Everyone who is not calm or not curious is kind. ... | Susan is not humble. | neutral | ((?[X]:(generous(X)))<=>(~brave(paul)))&
(![X]:((~strong(X)|~old(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~wise(X)<~>~kind(X))))&
(((~tall(lucy)|funny(lucy)))=>((~humble(susan)<~>funny(susan))))&
(![X]:((~calm(X)|~curious(X))=>kind(X)))&
((?[X]:((~quiet(X)&patient(X))))<=>(patient(fred)))&
(((quiet(john)&old(john)))<=>(... | ~humble(susan) | [] | null | 0 |
If someone is either not kind or not humble then someone is calm or not rich and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative.
Eve... | John is strong. | entailment | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creat... | strong(john) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1061454981605606291171577
% SZS output start Proof for 1061454981605606291171577
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~... | 0 |
Everyone who is both not humble and not creative is not happy or not old and vice versa.
Everyone who is either not calm or not wise is not strong.
Everyone who is both not calm and strong is both not quiet and not rich.
If john is both not funny and not happy then someone is tall or not funny.
Everyone who is happy is... | Lucy is not happy. | neutral | (![X]:((~humble(X)&~creative(X))<=>(~happy(X)|~old(X))))&
(![X]:((~calm(X)<~>~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&strong(X))=>(~quiet(X)&~rich(X))))&
(((~funny(john)&~happy(john)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(happy(X)=>(creative(X)&curious(X))))&
((funny(fred))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not strong or old is both not old and not generous.
Everyone who is not quiet or funny is either calm or not generous and vice versa.
If someone is both curious and not strong then john is creative and vice versa.
Everyone who is not strong is not curious or rich.
If john is not creative then som... | Paul is not kind. | neutral | (![X]:((~strong(X)<~>old(X))=>(~old(X)&~generous(X))))&
(![X]:((~quiet(X)|funny(X))<=>(calm(X)<~>~generous(X))))&
((?[X]:((curious(X)&~strong(X))))<=>(creative(john)))&
(![X]:(~strong(X)=>(~curious(X)|rich(X))))&
((~creative(john))<=>(?[X]:((~wise(X)|rich(X)))))&
((curious(susan))<=>((~patient(lucy)<~>old(lucy))))&
(![... | ~kind(paul) | [] | null | 0 |
Everyone who is either quiet or calm is either happy or not creative and vice versa. If alice is either strong or not happy then someone is not generous. If someone is patient then someone is old. Everyone who is either humble or brave is kind or not generous. Everyone who is wise or not brave is either not tall or wis... | Paul is patient. | neutral | (![X]:((quiet(X)<~>calm(X))<=>(happy(X)<~>~creative(X))))&
(((strong(alice)<~>~happy(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(patient(X)))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>brave(X))=>(kind(X)|~generous(X))))&
(![X]:((wise(X)|~brave(X))<=>(~tall(X)<~>wise(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(?[X]:((~patient(X... | patient(paul) | [] | null | 0 |
Everyone who is both quiet and not curious is either brave or not kind.
Everyone who is either patient or not creative is both not wise and tall.
If someone is both not wise and not rich then lucy is calm or not wise and vice versa.
Everyone who is kind or patient is both not creative and quiet.
Everyone who is either ... | John is not curious. | neutral | (![X]:((quiet(X)&~curious(X))=>(brave(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~creative(X))=>(~wise(X)&tall(X))))&
((?[X]:((~wise(X)&~rich(X))))<=>((calm(lucy)|~wise(lucy))))&
(![X]:((kind(X)|patient(X))=>(~creative(X)&quiet(X))))&
(![X]:((~brave(X)<~>happy(X))<=>(old(X)|~humble(X))))&
((?[X]:((calm(X)|creative(X))))<=>... | ~curious(john) | [] | null | 0 |
If someone is either funny or calm then someone is both curious and old and vice versa.
Everyone who is both rich and patient is either not wise or strong and vice versa.
If mary is not kind then alice is both generous and not wise.
If someone is both strong and kind then someone is not funny or strong.
If mary is stro... | Lucy is rich. | entailment | ((?[X]:((funny(X)<~>calm(X))))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:((rich(X)&patient(X))<=>(~wise(X)<~>strong(X))))&
((~kind(mary))=>((generous(alice)&~wise(alice))))&
((?[X]:((strong(X)&kind(X))))=>(?[X]:((~funny(X)|strong(X)))))&
(((strong(mary)|funny(mary)))<=>(?[X]:((~rich(X)|~generous(X)))))&
((?[X]:((~rich(X)|... | rich(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7596179110163480582257076
% SZS output start Proof for 7596179110163480582257076
6. ? [X0] : (humble(X0) | ~rich(X0)) <=> (tall(john) & ~tall(john)) [input p5]
25. ~rich(lucy) [input hypothesis]
53. (? [X0] : (humble(X0) | ~rich(X0)) | (~tall(john) | tall(john))) & ((tall(john) & ~tall(jo... | 0 |
If alice is not tall or rich then someone is either strong or curious and vice versa. Everyone who is rich is both not brave and happy. If alice is brave or strong then john is both brave and strong. If john is either not tall or happy then someone is both generous and not calm. If someone is old then someone is kind. ... | Susan is strong. | entailment | (((~tall(alice)|rich(alice)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(![X]:(rich(X)=>(~brave(X)&happy(X))))&
(((brave(alice)|strong(alice)))=>((brave(john)&strong(john))))&
(((~tall(john)<~>happy(john)))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:(old(X)))=>(?[X]:(kind(X))))&
(![X]:((kind(X)&~old(X))<=>(patient(X)&quiet(... | strong(susan) | [
"p1",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6902279959921202025501606
% SZS output start Proof for 6902279959921202025501606
2. ! [X0] : (rich(X0) => (happy(X0) & ~brave(X0))) [input p1]
11. ! [X0] : (~calm(X0) <=> (calm(X0) <~> ~tall(X0))) [input p10]
12. ? [X0] : ~strong(X0) => ? [X0] : (~kind(X0) & rich(X0)) [input p11]
14. ! [X... | 0 |
If mary is both not kind and quiet then someone is both creative and rich. Everyone who is both not humble and not curious is not rich and vice versa. If someone is both not funny and not rich then someone is either not generous or not old. If someone is not generous or happy then someone is not creative and vice versa... | Fred is curious. | contradiction | (((~kind(mary)&quiet(mary)))=>(?[X]:((creative(X)&rich(X)))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))&
(![X]:((~kind(X)&kind(X))<=>(old(X)<~>tall(X))... | curious(fred) | [
"p1",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3438038336339273572597157
% SZS output start Proof for 3438038336339273572597157
2. ! [X0] : ((~curious(X0) & ~humble(X0)) <=> ~rich(X0)) [input p1]
5. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p4]
12. ! [X0] : ((rich(X0) | generous(X0)) => (old(X0) <~> rich(X0))) [input p11]
24... | 0 |
If john is either not old or rich then john is quiet and vice versa.
Everyone who is humble is both creative and quiet.
If someone is generous then someone is brave and vice versa.
Everyone who is not wise or generous is both curious and kind and vice versa.
Everyone who is not humble is quiet and vice versa.
Everyone ... | Lucy is not humble. | entailment | (((~old(john)<~>rich(john)))<=>(quiet(john)))&
(![X]:(humble(X)=>(creative(X)&quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|generous(X))<=>(curious(X)&kind(X))))&
(![X]:(~humble(X)<=>quiet(X)))&
(![X]:((~funny(X)&~old(X))=>~tall(X)))&
((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:((~rich(X)&~brav... | ~humble(lucy) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 763627835545500327829388
% SZS output start Proof for 763627835545500327829388
2. ! [X0] : (humble(X0) => (quiet(X0) & creative(X0))) [input p1]
5. ! [X0] : (~humble(X0) <=> quiet(X0)) [input p4]
21. humble(lucy) [input hypothesis]
24. ! [X0] : ((quiet(X0) & creative(X0)) | ~humble(X0)) [... | 0 |
If alice is humble then someone is both rich and not generous and vice versa.
Everyone who is not curious or not brave is not calm or wise and vice versa.
If someone is both funny and not kind then susan is both kind and calm.
Everyone who is both tall and not tall is not old and vice versa.
If mary is both humble and ... | Alice is not happy. | neutral | ((humble(alice))<=>(?[X]:((rich(X)&~generous(X)))))&
(![X]:((~curious(X)|~brave(X))<=>(~calm(X)|wise(X))))&
((?[X]:((funny(X)&~kind(X))))=>((kind(susan)&calm(susan))))&
(![X]:((tall(X)&~tall(X))<=>~old(X)))&
(((humble(mary)&~brave(mary)))<=>((~humble(susan)|~funny(susan))))&
(((~tall(paul)|generous(paul)))=>((wise(susa... | ~happy(alice) | [] | null | 0 |
If someone is both strong and not wise then someone is humble.
Everyone who is either not generous or not strong is not rich and vice versa.
If john is both not calm and not patient then someone is both not calm and not happy and vice versa.
Everyone who is rich is not wise or generous.
If someone is kind or not wise t... | John is not humble. | entailment | ((?[X]:((strong(X)&~wise(X))))=>(?[X]:(humble(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>~rich(X)))&
(((~calm(john)&~patient(john)))<=>(?[X]:((~calm(X)&~happy(X)))))&
(![X]:(rich(X)=>(~wise(X)|generous(X))))&
((?[X]:((kind(X)|~wise(X))))<=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((~tall(X)<~>brave(X))=>(creative(X)&~calm... | ~humble(john) | [
"p7",
"p9",
"p10",
"p11",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 646489835531484486111768
% SZS output start Proof for 646489835531484486111768
8. ! [X0] : ((rich(X0) <~> brave(X0)) <=> (~happy(X0) | ~kind(X0))) [input p7]
10. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (~old(X0) <~> old(X0))) [input p9]
11. (~happy(paul) & calm(paul)) <=> ? [X0] : (humble(X... | 0 |
Everyone who is brave or not strong is creative or not creative and vice versa.
Everyone who is both not quiet and not wise is both rich and not funny and vice versa.
If alice is both curious and not happy then alice is not old or tall and vice versa.
If lucy is both calm and not creative then someone is both funny and... | Alice is kind. | entailment | (![X]:((brave(X)|~strong(X))<=>(creative(X)|~creative(X))))&
(![X]:((~quiet(X)&~wise(X))<=>(rich(X)&~funny(X))))&
(((curious(alice)&~happy(alice)))<=>((~old(alice)|tall(alice))))&
(((calm(lucy)&~creative(lucy)))=>(?[X]:((funny(X)&old(X)))))&
(((~rich(mary)&creative(mary)))<=>((~happy(susan)|~creative(susan))))&
(((curi... | kind(alice) | [
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4859205426326132728920350
% SZS output start Proof for 4859205426326132728920350
7. ? [X0] : strong(X0) => ? [X0] : (patient(X0) & ~patient(X0)) [input p6]
14. ! [X0] : (funny(X0) <=> (~kind(X0) & ~strong(X0))) [input p13]
16. ! [X0] : ((~strong(X0) | kind(X0)) => (~humble(X0) & ~funny(X0... | 0 |
If someone is generous then mary is not strong or quiet. Everyone who is humble or not old is not old. If alice is not humble then john is both kind and not creative and vice versa. Everyone who is both not patient and happy is not rich and vice versa. If john is not creative then alice is either not funny or patient a... | Lucy is not patient. | neutral | ((?[X]:(generous(X)))=>((~strong(mary)|quiet(mary))))&
(![X]:((humble(X)|~old(X))=>~old(X)))&
((~humble(alice))<=>((kind(john)&~creative(john))))&
(![X]:((~patient(X)&happy(X))<=>~rich(X)))&
((~creative(john))<=>((~funny(alice)<~>patient(alice))))&
(![X]:(quiet(X)=>(~rich(X)<~>brave(X))))&
(![X]:(patient(X)=>(old(X)&cr... | ~patient(lucy) | [] | null | 0 |
Everyone who is either curious or calm is either not old or old and vice versa.
If someone is both not strong and not kind then mary is both not funny and not wise.
If someone is happy then susan is not brave.
If mary is either not tall or not quiet then lucy is not creative and vice versa.
Everyone who is not quiet or... | John is not kind. | entailment | (![X]:((curious(X)<~>calm(X))<=>(~old(X)<~>old(X))))&
((?[X]:((~strong(X)&~kind(X))))=>((~funny(mary)&~wise(mary))))&
((?[X]:(happy(X)))=>(~brave(susan)))&
(((~tall(mary)<~>~quiet(mary)))<=>(~creative(lucy)))&
(![X]:((~quiet(X)|~calm(X))<=>calm(X)))&
(![X]:((~rich(X)&~wise(X))<=>~rich(X)))&
(![X]:((generous(X)|rich(X))... | ~kind(john) | [
"p0",
"p4",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 554114734603536647890416
% SZS output start Proof for 554114734603536647890416
1. ! [X0] : ((curious(X0) <~> calm(X0)) <=> (~old(X0) <~> old(X0))) [input p0]
5. ! [X0] : ((~calm(X0) | ~quiet(X0)) <=> calm(X0)) [input p4]
8. ! [X0] : ((~brave(X0) <~> ~curious(X0)) => ~kind(X0)) [input p7]
... | 0 |
Everyone who is both not funny and not brave is not rich or not tall and vice versa.
If mary is not generous or strong then someone is either not creative or not brave and vice versa.
Everyone who is either generous or not curious is either not generous or strong.
Everyone who is either not wise or strong is not tall a... | Susan is not patient. | neutral | (![X]:((~funny(X)&~brave(X))<=>(~rich(X)|~tall(X))))&
(((~generous(mary)|strong(mary)))<=>(?[X]:((~creative(X)<~>~brave(X)))))&
(![X]:((generous(X)<~>~curious(X))=>(~generous(X)<~>strong(X))))&
(![X]:((~wise(X)<~>strong(X))<=>~tall(X)))&
(((~humble(fred)<~>~rich(fred)))<=>((~old(fred)|tall(fred))))&
(((~creative(john)&... | ~patient(susan) | [] | null | 0 |
If lucy is both not generous and curious then someone is either not brave or creative and vice versa.
If fred is either creative or rich then mary is tall or not funny.
If susan is both not quiet and old then fred is not kind or not creative and vice versa.
Everyone who is funny or not generous is both not tall and not... | John is happy. | neutral | (((~generous(lucy)&curious(lucy)))<=>(?[X]:((~brave(X)<~>creative(X)))))&
(((creative(fred)<~>rich(fred)))=>((tall(mary)|~funny(mary))))&
(((~quiet(susan)&old(susan)))<=>((~kind(fred)|~creative(fred))))&
(![X]:((funny(X)|~generous(X))<=>(~tall(X)&~funny(X))))&
(((calm(lucy)<~>~tall(lucy)))=>(~generous(fred)))&
(![X]:(b... | happy(john) | [] | null | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Fred is funny. | entailment | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | funny(fred) | [
"p1",
"p2",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1065862023971136876905243
% SZS output start Proof for 1065862023971136876905243
2. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
8. ! [X0] : (generous(X0) <=> (old(X... | 0 |
If paul is either not humble or not curious then someone is both wise and not calm and vice versa.
Everyone who is quiet or strong is either quiet or not kind and vice versa.
Everyone who is not quiet is not tall and vice versa.
Everyone who is both not wise and not patient is quiet or calm.
If someone is both patient ... | Mary is old. | contradiction | (((~humble(paul)<~>~curious(paul)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((quiet(X)|strong(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
(![X]:((~wise(X)&~patient(X))=>(quiet(X)|calm(X))))&
((?[X]:((patient(X)&rich(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~tall(X)|~humble(X))<=>(~calm(X)&humble(X))))&
(![X]... | old(mary) | [
"p1",
"p2",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3394913512454045596927402
% SZS output start Proof for 3394913512454045596927402
2. ! [X0] : ((strong(X0) | quiet(X0)) <=> (quiet(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((brave(X0) & happy(X0)) <=> (old(X0) | funny(X0))) [input p6]
8. ... | 0 |
If alice is old or not creative then someone is calm and vice versa. If alice is not patient or not old then fred is not wise or not humble and vice versa. If someone is not brave then fred is not old or kind and vice versa. If john is not calm then someone is not wise or rich. Everyone who is not creative is both not ... | John is funny. | entailment | (((old(alice)|~creative(alice)))<=>(?[X]:(calm(X))))&
(((~patient(alice)|~old(alice)))<=>((~wise(fred)|~humble(fred))))&
((?[X]:(~brave(X)))<=>((~old(fred)|kind(fred))))&
((~calm(john))=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:(~creative(X)<=>(~wise(X)&wise(X))))&
(![X]:((~old(X)<~>patient(X))<=>(wise(X)<~>funny(X))))&
(((... | funny(john) | [
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2902414440193821442782715
% SZS output start Proof for 2902414440193821442782715
5. ! [X0] : (~creative(X0) <=> (wise(X0) & ~wise(X0))) [input p4]
8. ! [X0] : ((generous(X0) | ~patient(X0)) => ~brave(X0)) [input p7]
9. ? [X0] : (~strong(X0) | ~funny(X0)) <=> ? [X0] : (brave(X0) & ~curious... | 0 |
If someone is not calm then mary is curious and vice versa.
If someone is not quiet or not wise then someone is wise or not tall.
If someone is tall or curious then someone is not creative or calm.
If mary is wise or creative then fred is not calm or not funny and vice versa.
If paul is not wise or not humble then paul... | Fred is old. | entailment | ((?[X]:(~calm(X)))<=>(curious(mary)))&
((?[X]:((~quiet(X)|~wise(X))))=>(?[X]:((wise(X)|~tall(X)))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:((~creative(X)|calm(X)))))&
(((wise(mary)|creative(mary)))<=>((~calm(fred)|~funny(fred))))&
(((~wise(paul)|~humble(paul)))<=>((curious(paul)|~rich(paul))))&
(((~tall(susan)&wise(sus... | old(fred) | [
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5760177125602024089929545
% SZS output start Proof for 5760177125602024089929545
11. ! [X0] : (~rich(X0) <=> ~brave(X0)) [input p10]
12. ! [X0] : (rich(X0) <=> (old(X0) & strong(X0))) [input p11]
15. ! [X0] : ((~brave(X0) | happy(X0)) => (funny(X0) & ~funny(X0))) [input p14]
24. ~old(fred... | 0 |
If paul is tall then someone is both not old and not brave and vice versa.
If paul is generous or kind then alice is both not generous and not kind and vice versa.
If someone is either not wise or wise then someone is not happy or not wise and vice versa.
If someone is not patient then someone is not calm or not humble... | Susan is rich. | contradiction | ((tall(paul))<=>(?[X]:((~old(X)&~brave(X)))))&
(((generous(paul)|kind(paul)))<=>((~generous(alice)&~kind(alice))))&
((?[X]:((~wise(X)<~>wise(X))))<=>(?[X]:((~happy(X)|~wise(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((humble(X)&~kind(X))))<=>((tall(paul)&~rich(paul))))&
(((~tall(alice)&gener... | rich(susan) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8824481125123958656251548
% SZS output start Proof for 8824481125123958656251548
12. ! [X0] : ((~tall(X0) | ~curious(X0)) <=> ~rich(X0)) [input p11]
14. ! [X0] : (~rich(X0) <=> tall(X0)) [input p13]
25. rich(susan) [input hypothesis]
61. ! [X0] : (((~tall(X0) | ~curious(X0)) | rich(X0)) &... | 0 |
If lucy is wise then paul is rich and vice versa. If fred is either not humble or wise then someone is kind and vice versa. If susan is either not patient or not strong then fred is tall. Everyone who is not rich is both humble and not generous and vice versa. Everyone who is either generous or strong is either humble ... | Susan is not humble. | neutral | ((wise(lucy))<=>(rich(paul)))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]:(kind(X))))&
(((~patient(susan)<~>~strong(susan)))=>(tall(fred)))&
(![X]:(~rich(X)<=>(humble(X)&~generous(X))))&
(![X]:((generous(X)<~>strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:((curious(X)|~quiet(X))<=>(~wise(X)&curious(X))))&
(((~curious(fred... | ~humble(susan) | [] | null | 0 |
If someone is wise or humble then alice is patient and vice versa.
If susan is either rich or humble then mary is old.
Everyone who is either happy or quiet is either not generous or happy and vice versa.
Everyone who is both funny and patient is both wise and not calm and vice versa.
If someone is both funny and tall ... | Fred is not calm. | contradiction | ((?[X]:((wise(X)|humble(X))))<=>(patient(alice)))&
(((rich(susan)<~>humble(susan)))=>(old(mary)))&
(![X]:((happy(X)<~>quiet(X))<=>(~generous(X)<~>happy(X))))&
(![X]:((funny(X)&patient(X))<=>(wise(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))<=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((patient(fred)&~patient(fred)))=>(?[X]:... | ~calm(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1005226382299309473665696
% SZS output start Proof for 1005226382299309473665696
7. ! [X0] : (~patient(X0) <=> (patient(X0) | calm(X0))) [input p6]
20. ~calm(fred) [input hypothesis]
42. ! [X0] : ((~patient(X0) | (~patient(X0) & ~calm(X0))) & ((patient(X0) | calm(X0)) | patient(X0))) [nnf... | 0 |
If lucy is wise then mary is either brave or not happy.
If john is calm then someone is both not quiet and not old and vice versa.
If someone is funny then someone is quiet or calm and vice versa.
Everyone who is not creative is not humble or not tall and vice versa.
Everyone who is not quiet or not generous is either ... | Lucy is not curious. | entailment | ((wise(lucy))=>((brave(mary)<~>~happy(mary))))&
((calm(john))<=>(?[X]:((~quiet(X)&~old(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|calm(X)))))&
(![X]:(~creative(X)<=>(~humble(X)|~tall(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(patient(X)<~>~generous(X))... | ~curious(lucy) | [
"p3",
"p4",
"p11",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1538507718438543440213822
% SZS output start Proof for 1538507718438543440213822
4. ! [X0] : (~creative(X0) <=> (~tall(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (~humble(X0) <~> ~curious(X0))) [input p4]
12. ! [X0] : (quiet(X0) <=> kind(X0)) [input p11]
... | 0 |
If alice is both not brave and quiet then alice is both not calm and creative. Everyone who is not quiet is not strong and vice versa. If someone is not creative then alice is either not strong or old. If someone is either calm or quiet then lucy is not generous. Everyone who is either rich or not brave is both humble ... | Mary is quiet. | contradiction | (((~brave(alice)&quiet(alice)))=>((~calm(alice)&creative(alice))))&
(![X]:(~quiet(X)<=>~strong(X)))&
((?[X]:(~creative(X)))=>((~strong(alice)<~>old(alice))))&
((?[X]:((calm(X)<~>quiet(X))))=>(~generous(lucy)))&
(![X]:((rich(X)<~>~brave(X))=>(humble(X)&~creative(X))))&
(((old(fred)|~humble(fred)))=>((generous(susan)<~>c... | quiet(mary) | [
"p1",
"p7",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 209191006443073763841391
% SZS output start Proof for 209191006443073763841391
2. ! [X0] : (~quiet(X0) <=> ~strong(X0)) [input p1]
8. ! [X0] : ((brave(X0) <~> ~happy(X0)) => (~rich(X0) & ~wise(X0))) [input p7]
10. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~kind(X0) <~> kind(X0))) [input p9]... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or old.
If someone is not curious or quiet then alice is either humble or not kind and vice versa.
If someone is not happy then someone is humble.
If someone is not tall or not brave then someone is both no... | Paul is not tall. | contradiction | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:((~curious(X)|quiet(X))))<=>((humble(alice)<~>~kind(alice))))&
((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((creative(X)|wise(X))=>quiet(X... | ~tall(paul) | [
"p4",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2227779749019363959567643
% SZS output start Proof for 2227779749019363959567643
5. ? [X0] : (~brave(X0) | ~tall(X0)) <=> ? [X0] : (wise(X0) & ~tall(X0)) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => quiet(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~brave(X0) & ~pa... | 0 |
If someone is strong then paul is both not tall and not old.
Everyone who is not generous is both not quiet and generous and vice versa.
If someone is both curious and not creative then someone is kind or tall and vice versa.
Everyone who is not old or funny is either tall or calm and vice versa.
If mary is both rich a... | Fred is quiet. | entailment | ((?[X]:(strong(X)))=>((~tall(paul)&~old(paul))))&
(![X]:(~generous(X)<=>(~quiet(X)&generous(X))))&
((?[X]:((curious(X)&~creative(X))))<=>(?[X]:((kind(X)|tall(X)))))&
(![X]:((~old(X)|funny(X))<=>(tall(X)<~>calm(X))))&
(((rich(mary)&~brave(mary)))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((brave(X)<~>strong(X))<=>(~curiou... | quiet(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6050129295653834282454829
% SZS output start Proof for 6050129295653834282454829
2. ! [X0] : (~generous(X0) <=> (generous(X0) & ~quiet(X0))) [input p1]
24. ~quiet(fred) [input hypothesis]
41. ! [X0] : ((~generous(X0) | (~generous(X0) | quiet(X0))) & ((generous(X0) & ~quiet(X0)) | generous... | 0 |
If lucy is curious then someone is not patient or old. Everyone who is wise or not old is not humble or patient and vice versa. Everyone who is either not old or brave is not old and vice versa. Everyone who is not patient or not calm is both not brave and humble. If fred is both generous and not calm then alice is tal... | Susan is humble. | neutral | ((curious(lucy))=>(?[X]:((~patient(X)|old(X)))))&
(![X]:((wise(X)|~old(X))<=>(~humble(X)|patient(X))))&
(![X]:((~old(X)<~>brave(X))<=>~old(X)))&
(![X]:((~patient(X)|~calm(X))=>(~brave(X)&humble(X))))&
(((generous(fred)&~calm(fred)))<=>(tall(alice)))&
(![X]:((~kind(X)&humble(X))=>(funny(X)|curious(X))))&
(![X]:(old(X)=>... | humble(susan) | [] | null | 0 |
Everyone who is funny is either not funny or quiet and vice versa. If paul is curious then alice is not tall or not patient and vice versa. If lucy is both calm and not strong then lucy is both not humble and tall and vice versa. If someone is humble then someone is both calm and not patient. If someone is either not h... | Alice is not strong. | entailment | (![X]:(funny(X)<=>(~funny(X)<~>quiet(X))))&
((curious(paul))<=>((~tall(alice)|~patient(alice))))&
(((calm(lucy)&~strong(lucy)))<=>((~humble(lucy)&tall(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&~patient(X)))))&
((?[X]:((~happy(X)<~>~wise(X))))<=>((~happy(lucy)|~creative(lucy))))&
(![X]:((generous(X)|~rich(X))=>~ric... | ~strong(alice) | [
"p0",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 801706180961883592732856
% SZS output start Proof for 801706180961883592732856
1. ! [X0] : (funny(X0) <=> (~funny(X0) <~> quiet(X0))) [input p0]
6. ! [X0] : ((~rich(X0) | generous(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : ((strong(X0) | brave(X0)) <=> (~creative(X0) & generous(X0))) [inpu... | 0 |
Everyone who is tall is not humble. Everyone who is not generous is either brave or not wise. If john is not rich or kind then mary is not happy and vice versa. Everyone who is rich or not creative is either not rich or not strong. Everyone who is either not generous or not curious is tall or not brave. Everyone who is... | Susan is humble. | neutral | (![X]:(tall(X)=>~humble(X)))&
(![X]:(~generous(X)=>(brave(X)<~>~wise(X))))&
(((~rich(john)|kind(john)))<=>(~happy(mary)))&
(![X]:((rich(X)|~creative(X))=>(~rich(X)<~>~strong(X))))&
(![X]:((~generous(X)<~>~curious(X))=>(tall(X)|~brave(X))))&
(![X]:(brave(X)<=>(rich(X)<~>wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>(?[X]:(... | humble(susan) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is not patient then someone is not humble or funny and vice versa.
Everyone who is generous is curious.
... | Alice is not happy. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~humble(X)|funny(X)))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~hum... | ~happy(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2122359963998475032651507
% SZS output start Proof for 2122359963998475032651507
11. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~humble(X0) | humble(X0))) [input p10]
22. happy(alice) [input hypothesis]
56. ! [X0] : (((~happy(X0) & ~kind(X0)) | (humble(X0) & ~humble(X0))) & ((~humble(X0) | h... | 0 |
If someone is either not old or patient then someone is not quiet or quiet.
Everyone who is not generous or happy is old.
If someone is generous then susan is not quiet or creative.
Everyone who is curious is either curious or not curious.
Everyone who is old is both not calm and funny and vice versa.
If lucy is both n... | Paul is kind. | entailment | ((?[X]:((~old(X)<~>patient(X))))=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((~generous(X)|happy(X))=>old(X)))&
((?[X]:(generous(X)))=>((~quiet(susan)|creative(susan))))&
(![X]:(curious(X)=>(curious(X)<~>~curious(X))))&
(![X]:(old(X)<=>(~calm(X)&funny(X))))&
(((~funny(lucy)&~creative(lucy)))<=>(?[X]:((~humble(X)|~kind(X)))... | kind(paul) | [
"p1",
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 271461891491330858986069
% SZS output start Proof for 271461891491330858986069
2. ! [X0] : ((happy(X0) | ~generous(X0)) => old(X0)) [input p1]
5. ! [X0] : (old(X0) <=> (funny(X0) & ~calm(X0))) [input p4]
6. (~creative(lucy) & ~funny(lucy)) <=> ? [X0] : (~kind(X0) | ~humble(X0)) [input p5]... | 0 |
If someone is patient or not tall then someone is either not brave or curious.
Everyone who is kind or not funny is both not humble and not kind.
If lucy is not kind then someone is either happy or not rich and vice versa.
If mary is strong or not funny then someone is both not curious and strong.
Everyone who is kind ... | Lucy is patient. | entailment | ((?[X]:((patient(X)|~tall(X))))=>(?[X]:((~brave(X)<~>curious(X)))))&
(![X]:((kind(X)|~funny(X))=>(~humble(X)&~kind(X))))&
((~kind(lucy))<=>(?[X]:((happy(X)<~>~rich(X)))))&
(((strong(mary)|~funny(mary)))=>(?[X]:((~curious(X)&strong(X)))))&
(![X]:(kind(X)<=>(~wise(X)&generous(X))))&
(![X]:(calm(X)=>(kind(X)&happy(X))))&
... | patient(lucy) | [
"p1",
"p5",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6672546366479603055705730
% SZS output start Proof for 6672546366479603055705730
2. ! [X0] : ((~funny(X0) | kind(X0)) => (~kind(X0) & ~humble(X0))) [input p1]
6. ! [X0] : (calm(X0) => (happy(X0) & kind(X0))) [input p5]
13. ! [X0] : ((rich(X0) | calm(X0)) <=> ~patient(X0)) [input p12]
22. ... | 0 |
Everyone who is not creative or not generous is either not brave or not curious and vice versa. Everyone who is both not funny and quiet is not strong or funny and vice versa. Everyone who is not brave or humble is happy or brave. If someone is either not humble or quiet then someone is humble or happy and vice versa. ... | Alice is creative. | entailment | (![X]:((~creative(X)|~generous(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~strong(X)|funny(X))))&
(![X]:((~brave(X)|humble(X))=>(happy(X)|brave(X))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:((quiet(X)&~curious(X))<=>(~rich(X)&~kind(X))))&
(![X]:((~wise(X)|funny(... | creative(alice) | [
"p1",
"p5",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1290921089362791513714206
% SZS output start Proof for 1290921089362791513714206
2. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (funny(X0) | ~strong(X0))) [input p1]
6. ! [X0] : ((funny(X0) | ~wise(X0)) <=> (~brave(X0) <~> wise(X0))) [input p5]
9. ! [X0] : ((~old(X0) & strong(X0)) <=> (funny(X... | 0 |
Everyone who is not brave is strong or brave.
If paul is both not curious and curious then fred is wise.
If john is not tall then someone is not kind.
If someone is either not funny or patient then someone is either funny or humble.
If john is either not generous or happy then fred is not creative or not tall.
If john ... | John is not quiet. | entailment | (![X]:(~brave(X)=>(strong(X)|brave(X))))&
(((~curious(paul)&curious(paul)))=>(wise(fred)))&
((~tall(john))=>(?[X]:(~kind(X))))&
((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((funny(X)<~>humble(X)))))&
(((~generous(john)<~>happy(john)))=>((~creative(fred)|~tall(fred))))&
(((old(john)<~>strong(john)))<=>((kind(mary)&creativ... | ~quiet(john) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4282984206709521860421418
% SZS output start Proof for 4282984206709521860421418
1. ! [X0] : (~brave(X0) => (brave(X0) | strong(X0))) [input p0]
7. ! [X0] : ((creative(X0) <~> ~creative(X0)) <=> (~tall(X0) & ~strong(X0))) [input p6]
12. ? [X0] : (tall(X0) | quiet(X0)) => ? [X0] : (~brave(... | 0 |
If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is either creative or humble and vice versa. Everyone who is funny or generous is both not strong and not kind. If paul is either not old or not rich then paul is not creative and vice versa. Everyone who i... | John is not old. | entailment | (((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))))&
(((~old(paul)<~>~rich(paul)))<=>(~creative(paul)))&
(![X]:(~old(X)<=>(rich(X)&patient(X))))&
(![X]:(~calm(X)<=>happy(X)))&
(![X]:((~patient(X)&~happy(X))<=>(... | ~old(john) | [
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8465484972892911716751049
% SZS output start Proof for 8465484972892911716751049
11. ! [X0] : (old(X0) => (~old(X0) <~> quiet(X0))) [input p10]
13. ? [X0] : ~rich(X0) <=> (~quiet(john) & ~kind(john)) [input p12]
16. ~rich(susan) [input p15]
21. old(john) [input hypothesis]
24. ! [X0] : ((... | 0 |
Everyone who is not generous is both rich and not curious and vice versa. If john is both happy and brave then someone is wise or tall. Everyone who is either not strong or wise is tall. If someone is both patient and not kind then someone is strong. If alice is generous or kind then someone is either not rich or not g... | Mary is happy. | entailment | (![X]:(~generous(X)<=>(rich(X)&~curious(X))))&
(((happy(john)&brave(john)))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~strong(X)<~>wise(X))=>tall(X)))&
((?[X]:((patient(X)&~kind(X))))=>(?[X]:(strong(X))))&
(((generous(alice)|kind(alice)))<=>(?[X]:((~rich(X)<~>~generous(X)))))&
(![X]:((strong(X)&rich(X))<=>(~happy(X)&tall(X... | happy(mary) | [
"p2",
"p5",
"p6",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7053970887576756434827569
% SZS output start Proof for 7053970887576756434827569
3. ! [X0] : ((~strong(X0) <~> wise(X0)) => tall(X0)) [input p2]
6. ! [X0] : ((rich(X0) & strong(X0)) <=> (tall(X0) & ~happy(X0))) [input p5]
7. ! [X0] : ((happy(X0) <~> tall(X0)) <=> funny(X0)) [input p6]
8. ... | 0 |
If someone is wise or not quiet then susan is both not funny and not generous. Everyone who is not creative is not calm or not rich and vice versa. Everyone who is either brave or creative is both old and quiet and vice versa. Everyone who is both not wise and not patient is old and vice versa. If someone is either not... | Alice is not old. | entailment | ((?[X]:((wise(X)|~quiet(X))))=>((~funny(susan)&~generous(susan))))&
(![X]:(~creative(X)<=>(~calm(X)|~rich(X))))&
(![X]:((brave(X)<~>creative(X))<=>(old(X)&quiet(X))))&
(![X]:((~wise(X)&~patient(X))<=>old(X)))&
((?[X]:((~kind(X)<~>~funny(X))))=>((~tall(paul)|~curious(paul))))&
(![X]:((patient(X)&quiet(X))<=>(kind(X)<~>w... | ~old(alice) | [
"p2",
"p3",
"p6",
"p8",
"p14",
"p17",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6531175733420256344606193
% SZS output start Proof for 6531175733420256344606193
3. ! [X0] : ((brave(X0) <~> creative(X0)) <=> (quiet(X0) & old(X0))) [input p2]
4. ! [X0] : ((~patient(X0) & ~wise(X0)) <=> old(X0)) [input p3]
7. ? [X0] : (wise(X0) <~> happy(X0)) => ~tall(alice) [input p6]
... | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa. Everyone who is both tall and not generous is creative or wise and vice versa. If someone is not generous or not funny then lucy is either not generous or not wise and vice versa. Everyone who is creative is curious or generous a... | John is not generous. | entailment | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|wise(X))))&
((?[X]:((~generous(X)|~funny(X))))<=>((~generous(lucy)<~>~wise(lucy))))&
(![X]:(creative(X)<=>(curious(X)|generous(X))))&
(![X]:((~funny(X)|rich(X))=>(~patient(X)&~calm(X))))&
(![X]:((creative(X)<~>~bra... | ~generous(john) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6022152645686872050119326
% SZS output start Proof for 6022152645686872050119326
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (wise(X0) | creative(X0))) [input p1]
4. ! [X0] : (creative(X0) <=> (generous(X0) | curious(X0))) [input p3]
22. generous(john) [input hypothesis]
36. ! [X0] : (((~... | 0 |
Everyone who is not rich is wise or brave. If someone is both tall and funny then john is old. Everyone who is brave is either tall or strong. Everyone who is creative or not curious is both patient and quiet and vice versa. Everyone who is both strong and not brave is strong or not rich and vice versa. Everyone who is... | Lucy is not quiet. | contradiction | (![X]:(~rich(X)=>(wise(X)|brave(X))))&
((?[X]:((tall(X)&funny(X))))=>(old(john)))&
(![X]:(brave(X)=>(tall(X)<~>strong(X))))&
(![X]:((creative(X)|~curious(X))<=>(patient(X)&quiet(X))))&
(![X]:((strong(X)&~brave(X))<=>(strong(X)|~rich(X))))&
(![X]:((funny(X)&generous(X))<=>(~wise(X)<~>~patient(X))))&
(((~curious(alice)|~... | ~quiet(lucy) | [
"p0",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1296749670894722800496491
% SZS output start Proof for 1296749670894722800496491
1. ! [X0] : (~rich(X0) => (brave(X0) | wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) & strong(X0)) <=> (~rich(X0) | strong(X0))) [input p4]
8. ? [X0] : (rich(X0) | ~tall(X0)) => ? [X0] : (~wise(X0) & ~rich(X... | 0 |
Everyone who is either not creative or strong is either not humble or not quiet and vice versa.
Everyone who is either not calm or happy is both not rich and old.
Everyone who is not tall or not creative is both old and not patient and vice versa.
Everyone who is not happy or not calm is both not creative and creative ... | Alice is not rich. | entailment | (![X]:((~creative(X)<~>strong(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((~calm(X)<~>happy(X))=>(~rich(X)&old(X))))&
(![X]:((~tall(X)|~creative(X))<=>(old(X)&~patient(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~creative(X)&creative(X))))&
(((creative(fred)&tall(fred)))=>((~kind(alice)|tall(alice))))&
(![X]:((~funny(X)|tall(X)... | ~rich(alice) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1564125833594667595676948
% SZS output start Proof for 1564125833594667595676948
2. ! [X0] : ((~calm(X0) <~> happy(X0)) => (old(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (creative(X0) & ~creative(X0))) [input p3]
24. rich(alice) [input hypothesis]
31. ! [X0] :... | 0 |
Everyone who is patient or not funny is humble or patient.
Everyone who is not patient or old is either not patient or not funny and vice versa.
Everyone who is both curious and kind is both not rich and strong and vice versa.
Everyone who is either old or happy is not generous or old and vice versa.
Everyone who is no... | Alice is not wise. | contradiction | (![X]:((patient(X)|~funny(X))=>(humble(X)|patient(X))))&
(![X]:((~patient(X)|old(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((curious(X)&kind(X))<=>(~rich(X)&strong(X))))&
(![X]:((old(X)<~>happy(X))<=>(~generous(X)|old(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(~quiet(X)&quiet(X))))&
(![X]:((happy(X)&~brave(X))=>~patient(X)... | ~wise(alice) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1207579949071328732587986
% SZS output start Proof for 1207579949071328732587986
3. ! [X0] : ((kind(X0) & curious(X0)) <=> (strong(X0) & ~rich(X0))) [input p2]
4. ! [X0] : ((old(X0) <~> happy(X0)) <=> (old(X0) | ~generous(X0))) [input p3]
5. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (quiet... | 0 |
If someone is not kind then john is either not happy or creative. Everyone who is either not old or not rich is either not funny or curious. Everyone who is kind or humble is both not patient and calm. If someone is not wise or not generous then alice is not happy and vice versa. If fred is either not rich or brave the... | Mary is patient. | contradiction | ((?[X]:(~kind(X)))=>((~happy(john)<~>creative(john))))&
(![X]:((~old(X)<~>~rich(X))=>(~funny(X)<~>curious(X))))&
(![X]:((kind(X)|humble(X))=>(~patient(X)&calm(X))))&
((?[X]:((~wise(X)|~generous(X))))<=>(~happy(alice)))&
(((~rich(fred)<~>brave(fred)))<=>((~brave(lucy)&~patient(lucy))))&
(![X]:((~patient(X)&quiet(X))<=>(... | patient(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8969770685702465052867675
% SZS output start Proof for 8969770685702465052867675
6. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (patient(X0) | ~brave(X0))) [input p5]
23. patient(mary) [input hypothesis]
49. ! [X0] : (((quiet(X0) & ~patient(X0)) | (~patient(X0) & brave(X0))) & ((patient(X0) ... | 0 |
Everyone who is both strong and humble is rich and vice versa.
If someone is either wise or rich then lucy is kind or not rich.
Everyone who is either creative or kind is either humble or not rich.
Everyone who is patient is not humble and vice versa.
If someone is either not patient or generous then someone is both no... | Mary is not strong. | entailment | (![X]:((strong(X)&humble(X))<=>rich(X)))&
((?[X]:((wise(X)<~>rich(X))))=>((kind(lucy)|~rich(lucy))))&
(![X]:((creative(X)<~>kind(X))=>(humble(X)<~>~rich(X))))&
(![X]:(patient(X)<=>~humble(X)))&
((?[X]:((~patient(X)<~>generous(X))))=>(?[X]:((~wise(X)&funny(X)))))&
(![X]:(~humble(X)=>~tall(X)))&
(((creative(fred)|happy(f... | ~strong(mary) | [
"p0",
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4212059078243956662317885
% SZS output start Proof for 4212059078243956662317885
1. ! [X0] : ((humble(X0) & strong(X0)) <=> rich(X0)) [input p0]
4. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p3]
14. ! [X0] : ((calm(X0) | patient(X0)) => (rich(X0) & brave(X0))) [input p13]
18. ~rich(mar... | 0 |
If fred is either not tall or happy then someone is tall and vice versa.
If paul is curious or wise then someone is either tall or curious.
If someone is either not wise or not calm then susan is not brave and vice versa.
Everyone who is both quiet and not creative is both kind and strong and vice versa.
Everyone who i... | Alice is not curious. | contradiction | (((~tall(fred)<~>happy(fred)))<=>(?[X]:(tall(X))))&
(((curious(paul)|wise(paul)))=>(?[X]:((tall(X)<~>curious(X)))))&
((?[X]:((~wise(X)<~>~calm(X))))<=>(~brave(susan)))&
(![X]:((quiet(X)&~creative(X))<=>(kind(X)&strong(X))))&
(![X]:(rich(X)<=>(~happy(X)<~>strong(X))))&
((~curious(lucy))<=>(?[X]:((rich(X)<~>generous(X)))... | ~curious(alice) | [
"p4",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7288110860749845822888983
% SZS output start Proof for 7288110860749845822888983
5. ! [X0] : (rich(X0) <=> (~happy(X0) <~> strong(X0))) [input p4]
15. ! [X0] : ((strong(X0) & happy(X0)) <=> ~curious(X0)) [input p14]
17. ~old(alice) & ~rich(alice) [input p16]
25. ~curious(alice) [input hyp... | 0 |
Everyone who is both not old and not kind is either not funny or not brave and vice versa.
Everyone who is strong is old and vice versa.
If someone is not strong then someone is calm.
Everyone who is both not tall and wise is either not quiet or tall and vice versa.
Everyone who is patient or not rich is not patient an... | Paul is not tall. | neutral | (![X]:((~old(X)&~kind(X))<=>(~funny(X)<~>~brave(X))))&
(![X]:(strong(X)<=>old(X)))&
((?[X]:(~strong(X)))=>(?[X]:(calm(X))))&
(![X]:((~tall(X)&wise(X))<=>(~quiet(X)<~>tall(X))))&
(![X]:((patient(X)|~rich(X))<=>~patient(X)))&
(![X]:((calm(X)<~>~funny(X))<=>(~brave(X)|generous(X))))&
(![X]:(wise(X)<=>(~strong(X)|brave(X))... | ~tall(paul) | [] | null | 0 |
Everyone who is either not strong or generous is both not wise and happy and vice versa. Everyone who is both kind and brave is patient. Everyone who is either not tall or tall is both happy and rich. Everyone who is happy is not curious or quiet. If someone is either generous or not curious then lucy is either tall or... | Susan is kind. | contradiction | (![X]:((~strong(X)<~>generous(X))<=>(~wise(X)&happy(X))))&
(![X]:((kind(X)&brave(X))=>patient(X)))&
(![X]:((~tall(X)<~>tall(X))=>(happy(X)&rich(X))))&
(![X]:(happy(X)=>(~curious(X)|quiet(X))))&
((?[X]:((generous(X)<~>~curious(X))))=>((tall(lucy)<~>humble(lucy))))&
((?[X]:((~happy(X)|~curious(X))))<=>(?[X]:((happy(X)&~f... | kind(susan) | [
"p2",
"p3",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4473066378682183411633698
% SZS output start Proof for 4473066378682183411633698
3. ! [X0] : ((~tall(X0) <~> tall(X0)) => (rich(X0) & happy(X0))) [input p2]
4. ! [X0] : (happy(X0) => (quiet(X0) | ~curious(X0))) [input p3]
6. ? [X0] : (~curious(X0) | ~happy(X0)) <=> ? [X0] : (~funny(X0) & ... | 0 |
If fred is either rich or not tall then mary is generous. If someone is not kind or not creative then susan is not brave or curious. Everyone who is not patient is not humble or not creative and vice versa. Everyone who is not rich or quiet is not old or not strong and vice versa. If susan is calm then mary is both str... | Fred is rich. | contradiction | (((rich(fred)<~>~tall(fred)))=>(generous(mary)))&
((?[X]:((~kind(X)|~creative(X))))=>((~brave(susan)|curious(susan))))&
(![X]:(~patient(X)<=>(~humble(X)|~creative(X))))&
(![X]:((~rich(X)|quiet(X))<=>(~old(X)|~strong(X))))&
((calm(susan))<=>((strong(mary)&~curious(mary))))&
(((~tall(alice)|calm(alice)))=>(?[X]:(quiet(X)... | rich(fred) | [
"p2",
"p3",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 193076730212363733340105
% SZS output start Proof for 193076730212363733340105
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | ~humble(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | ~rich(X0)) <=> (~strong(X0) | ~old(X0))) [input p3]
9. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~patien... | 0 |
Everyone who is not old or patient is both rich and quiet. Everyone who is brave is both not curious and not kind and vice versa. If paul is not curious then susan is both kind and patient and vice versa. If mary is wise or not curious then someone is creative and vice versa. Everyone who is not funny or generous is hu... | Paul is happy. | contradiction | (![X]:((~old(X)|patient(X))=>(rich(X)&quiet(X))))&
(![X]:(brave(X)<=>(~curious(X)&~kind(X))))&
((~curious(paul))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~gen... | happy(paul) | [
"p0",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1080101914564750170623079
% SZS output start Proof for 1080101914564750170623079
1. ! [X0] : ((patient(X0) | ~old(X0)) => (quiet(X0) & rich(X0))) [input p0]
12. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~rich(X0) & happy(X0))) [input p11]
16. ! [X0] : ((~strong(X0) & rich(X0)) <=> ~patient(X... | 0 |
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