premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not generous and strong is not rich or not curious. Everyone who is both brave and strong is both patient and brave and vice versa. Everyone who is not brave is not humble. If john is either humble or quiet then alice is both creative and not old and vice versa. Everyone who is either brave or not ... | John is not old. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(patient(X)&brave(X))))&
(![X]:(~brave(X)=>~humble(X)))&
(((humble(john)<~>quiet(john)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:(... | ~old(john) | [] | null | 0 |
Everyone who is both not rich and wise is either patient or not humble.
Everyone who is both not patient and not wise is not old and vice versa.
If someone is creative or not brave then lucy is wise or humble and vice versa.
If susan is calm then someone is either old or rich.
Everyone who is not calm or strong is eith... | Susan is kind. | contradiction | (![X]:((~rich(X)&wise(X))=>(patient(X)<~>~humble(X))))&
(![X]:((~patient(X)&~wise(X))<=>~old(X)))&
((?[X]:((creative(X)|~brave(X))))<=>((wise(lucy)|humble(lucy))))&
((calm(susan))=>(?[X]:((old(X)<~>rich(X)))))&
(![X]:((~calm(X)|strong(X))=>(happy(X)<~>~happy(X))))&
(((~patient(mary)&~old(mary)))=>(?[X]:(~strong(X))))&
... | kind(susan) | [
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 578241158295583901323951
% SZS output start Proof for 578241158295583901323951
11. ! [X0] : ((~kind(X0) <~> brave(X0)) <=> (~happy(X0) & ~patient(X0))) [input p10]
12. ! [X0] : (~brave(X0) => (patient(X0) & ~kind(X0))) [input p11]
21. happy(susan) [input p20]
25. kind(susan) [input hypoth... | 0 |
Everyone who is either old or not curious is not funny. If fred is not quiet then john is either curious or not patient. Everyone who is both not tall and not kind is generous and vice versa. If someone is calm or not patient then lucy is both rich and strong. Everyone who is not patient is humble. If someone is both k... | Paul is generous. | contradiction | (![X]:((old(X)<~>~curious(X))=>~funny(X)))&
((~quiet(fred))=>((curious(john)<~>~patient(john))))&
(![X]:((~tall(X)&~kind(X))<=>generous(X)))&
((?[X]:((calm(X)|~patient(X))))=>((rich(lucy)&strong(lucy))))&
(![X]:(~patient(X)=>humble(X)))&
((?[X]:((kind(X)&funny(X))))<=>(?[X]:(creative(X))))&
(((~creative(mary)<~>~funny(... | generous(paul) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4106793459281605448718268
% SZS output start Proof for 4106793459281605448718268
3. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> generous(X0)) [input p2]
9. ! [X0] : ((~wise(X0) | ~tall(X0)) => tall(X0)) [input p8]
24. generous(paul) [input hypothesis]
26. ! [X0] : (generous(X0) => (~kind(X0) & ... | 0 |
If susan is either tall or quiet then susan is both old and patient and vice versa.
If someone is not kind or rich then someone is both generous and not generous and vice versa.
Everyone who is curious is wise.
Everyone who is quiet or not kind is not quiet.
If fred is both not funny and quiet then susan is not generou... | Alice is patient. | contradiction | (((tall(susan)<~>quiet(susan)))<=>((old(susan)&patient(susan))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((generous(X)&~generous(X)))))&
(![X]:(curious(X)=>wise(X)))&
(![X]:((quiet(X)|~kind(X))=>~quiet(X)))&
(((~funny(fred)&quiet(fred)))=>(~generous(susan)))&
(![X]:(happy(X)<=>(brave(X)|old(X))))&
((?[X]:((~old(X)|funny(... | patient(alice) | [
"p1",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3806400390773573287958787
% SZS output start Proof for 3806400390773573287958787
2. ? [X0] : (rich(X0) | ~kind(X0)) <=> ? [X0] : (~generous(X0) & generous(X0)) [input p1]
6. ! [X0] : (happy(X0) <=> (old(X0) | brave(X0))) [input p5]
10. ! [X0] : (calm(X0) <=> (happy(X0) | patient(X0))) [in... | 0 |
Everyone who is either not calm or creative is old or not humble and vice versa. If alice is not wise or tall then someone is old or not strong and vice versa. Everyone who is rich or patient is not old or curious and vice versa. If someone is either tall or wise then someone is either not old or generous and vice vers... | John is not strong. | entailment | (![X]:((~calm(X)<~>creative(X))<=>(old(X)|~humble(X))))&
(((~wise(alice)|tall(alice)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((rich(X)|patient(X))<=>(~old(X)|curious(X))))&
((?[X]:((tall(X)<~>wise(X))))<=>(?[X]:((~old(X)<~>generous(X)))))&
(![X]:((brave(X)&humble(X))<=>(calm(X)|~curious(X))))&
(((strong(john)|quiet(jo... | ~strong(john) | [
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2028173860861395453749925
% SZS output start Proof for 2028173860861395453749925
6. (quiet(john) | strong(john)) <=> ~kind(john) [input p5]
7. ~creative(john) <=> ? [X0] : (strong(X0) <~> ~strong(X0)) [input p6]
8. ! [X0] : ((~funny(X0) & ~generous(X0)) <=> ~creative(X0)) [input p7]
14. !... | 0 |
Everyone who is not generous or patient is either brave or not humble and vice versa.
If someone is either rich or not funny then someone is both not strong and not kind.
Everyone who is not creative is funny or strong.
If someone is either not kind or not curious then mary is both funny and not strong.
Everyone who is... | Paul is not wise. | neutral | (![X]:((~generous(X)|patient(X))<=>(brave(X)<~>~humble(X))))&
((?[X]:((rich(X)<~>~funny(X))))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:(~creative(X)=>(funny(X)|strong(X))))&
((?[X]:((~kind(X)<~>~curious(X))))=>((funny(mary)&~strong(mary))))&
(![X]:(~kind(X)<=>(~strong(X)|~happy(X))))&
((?[X]:(humble(X)))=>(?[X]:((patien... | ~wise(paul) | [] | null | 0 |
Everyone who is either not quiet or not tall is generous. If lucy is happy then someone is not kind and vice versa. Everyone who is both calm and rich is either not brave or strong. Everyone who is curious or not patient is both not brave and tall and vice versa. If alice is either not patient or not funny then john is... | John is patient. | entailment | (![X]:((~quiet(X)<~>~tall(X))=>generous(X)))&
((happy(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)&rich(X))=>(~brave(X)<~>strong(X))))&
(![X]:((curious(X)|~patient(X))<=>(~brave(X)&tall(X))))&
(((~patient(alice)<~>~funny(alice)))<=>((~creative(john)<~>~quiet(john))))&
(![X]:((creative(X)&~tall(X))=>~strong(X)))&
((crea... | patient(john) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7464667614031079679788495
% SZS output start Proof for 7464667614031079679788495
4. ! [X0] : ((~patient(X0) | curious(X0)) <=> (tall(X0) & ~brave(X0))) [input p3]
12. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~calm(X0) & patient(X0))) [input p11]
24. ~patient(john) [input hypothesis]
44... | 0 |
Everyone who is humble or not funny is not generous. If fred is either calm or not old then someone is kind or not curious. If someone is quiet then paul is both brave and not brave and vice versa. If paul is both quiet and happy then someone is not generous or old and vice versa. Everyone who is either not humble or p... | Fred is not old. | entailment | (![X]:((humble(X)|~funny(X))=>~generous(X)))&
(((calm(fred)<~>~old(fred)))=>(?[X]:((kind(X)|~curious(X)))))&
((?[X]:(quiet(X)))<=>((brave(paul)&~brave(paul))))&
(((quiet(paul)&happy(paul)))<=>(?[X]:((~generous(X)|old(X)))))&
(![X]:((~humble(X)<~>patient(X))<=>(generous(X)|~old(X))))&
(![X]:(~quiet(X)<=>(funny(X)&~humbl... | ~old(fred) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3516315352380980447398742
% SZS output start Proof for 3516315352380980447398742
3. ? [X0] : quiet(X0) <=> (~brave(paul) & brave(paul)) [input p2]
4. (happy(paul) & quiet(paul)) <=> ? [X0] : (old(X0) | ~generous(X0)) [input p3]
22. old(fred) [input hypothesis]
34. (? [X0] : quiet(X0) | (b... | 0 |
If susan is both not creative and not patient then someone is brave or rich and vice versa.
Everyone who is both not calm and not happy is both not creative and patient and vice versa.
If someone is brave or not creative then someone is either old or not happy and vice versa.
If alice is not rich then mary is not calm ... | Susan is not patient. | entailment | (((~creative(susan)&~patient(susan)))<=>(?[X]:((brave(X)|rich(X)))))&
(![X]:((~calm(X)&~happy(X))<=>(~creative(X)&patient(X))))&
((?[X]:((brave(X)|~creative(X))))<=>(?[X]:((old(X)<~>~happy(X)))))&
((~rich(alice))<=>((~calm(mary)|old(mary))))&
(![X]:((calm(X)|~strong(X))=>(curious(X)<~>happy(X))))&
((?[X]:((rich(X)|~ric... | ~patient(susan) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2730816230324977915935694
% SZS output start Proof for 2730816230324977915935694
1. (~patient(susan) & ~creative(susan)) <=> ? [X0] : (rich(X0) | brave(X0)) [input p0]
21. brave(john) & ~strong(john) [input p20]
24. patient(susan) [input hypothesis]
32. ((~patient(susan) & ~creative(susan... | 0 |
If john is funny or not funny then john is brave and vice versa. Everyone who is both quiet and generous is both not brave and not humble. Everyone who is funny is tall and vice versa. Everyone who is both curious and not humble is happy or not tall and vice versa. Everyone who is tall or kind is old. If lucy is not br... | Paul is not generous. | entailment | (((funny(john)|~funny(john)))<=>(brave(john)))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X)&~humble(X))<=>(happy(X)|~tall(X))))&
(![X]:((tall(X)|kind(X))=>old(X)))&
((~brave(lucy))=>((old(john)|strong(john))))&
(![X]:((~old(X)|~strong(X))<=>(funny(X)&kind(X))... | ~generous(paul) | [
"p6",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4310446923072335768726210
% SZS output start Proof for 4310446923072335768726210
7. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (kind(X0) & funny(X0))) [input p6]
9. ! [X0] : (~generous(X0) <=> (kind(X0) | brave(X0))) [input p8]
10. ! [X0] : ((calm(X0) | strong(X0)) <=> quiet(X0)) [input p9]
1... | 0 |
If someone is both strong and not creative then fred is both creative and wise.
Everyone who is curious is not tall or not rich and vice versa.
Everyone who is quiet or not strong is both not patient and not creative.
Everyone who is both rich and not creative is both not happy and not quiet.
If someone is both brave a... | Fred is strong. | contradiction | ((?[X]:((strong(X)&~creative(X))))=>((creative(fred)&wise(fred))))&
(![X]:(curious(X)<=>(~tall(X)|~rich(X))))&
(![X]:((quiet(X)|~strong(X))=>(~patient(X)&~creative(X))))&
(![X]:((rich(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((brave(X)&happy(X))))<=>(?[X]:((~brave(X)&~rich(X)))))&
(![X]:((~wise(X)|funny(X))=>(... | strong(fred) | [
"p0",
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 921860952874107535885840
% SZS output start Proof for 921860952874107535885840
1. ? [X0] : (~creative(X0) & strong(X0)) => (wise(fred) & creative(fred)) [input p0]
3. ! [X0] : ((~strong(X0) | quiet(X0)) => (~creative(X0) & ~patient(X0))) [input p2]
9. ! [X0] : ((brave(X0) | ~quiet(X0)) =>... | 0 |
If susan is either not kind or not strong then someone is funny. Everyone who is not tall or not curious is not curious and vice versa. Everyone who is either not rich or rich is not rich or not tall. If alice is calm or creative then someone is either not strong or wise and vice versa. Everyone who is either funny or ... | Lucy is not wise. | neutral | (((~kind(susan)<~>~strong(susan)))=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|~curious(X))<=>~curious(X)))&
(![X]:((~rich(X)<~>rich(X))=>(~rich(X)|~tall(X))))&
(((calm(alice)|creative(alice)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~curious(X))<=>(~patient(X)|calm(X))))&
(![X]:((~brave(X)&~old(X))<=>(wise(X)... | ~wise(lucy) | [] | null | 0 |
Everyone who is tall or kind is curious or tall.
Everyone who is kind or not rich is quiet or not funny.
Everyone who is either happy or not calm is either not wise or rich and vice versa.
If someone is strong or curious then someone is creative.
Everyone who is not patient or brave is either not patient or not funny a... | Fred is not calm. | neutral | (![X]:((tall(X)|kind(X))=>(curious(X)|tall(X))))&
(![X]:((kind(X)|~rich(X))=>(quiet(X)|~funny(X))))&
(![X]:((happy(X)<~>~calm(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)|brave(X))<=>(~patient(X)<~>~funny(X))))&
(((old(lucy)<~>wise(lucy)))<=>(?[X]:((~old(X)|... | ~calm(fred) | [] | null | 0 |
Everyone who is brave is both not quiet and not rich. Everyone who is both rich and brave is both funny and old and vice versa. If paul is not calm or not happy then someone is either strong or happy and vice versa. If mary is not quiet or curious then paul is not humble and vice versa. If someone is brave or old then ... | Paul is curious. | neutral | (![X]:(brave(X)=>(~quiet(X)&~rich(X))))&
(![X]:((rich(X)&brave(X))<=>(funny(X)&old(X))))&
(((~calm(paul)|~happy(paul)))<=>(?[X]:((strong(X)<~>happy(X)))))&
(((~quiet(mary)|curious(mary)))<=>(~humble(paul)))&
((?[X]:((brave(X)|old(X))))<=>(?[X]:((kind(X)&~tall(X)))))&
(![X]:((curious(X)<~>~quiet(X))<=>(generous(X)&~tall... | curious(paul) | [] | null | 0 |
If susan is either not rich or brave then someone is either not curious or not tall and vice versa. If someone is either not creative or tall then someone is not strong. If someone is both not tall and not creative then someone is calm or not wise and vice versa. Everyone who is either not tall or old is both not calm ... | Fred is old. | contradiction | (((~rich(susan)<~>brave(susan)))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:(~strong(X))))&
((?[X]:((~tall(X)&~creative(X))))<=>(?[X]:((calm(X)|~wise(X)))))&
(![X]:((~tall(X)<~>old(X))=>(~calm(X)&~patient(X))))&
((strong(fred))<=>(?[X]:((brave(X)|kind(X)))))&
(((patient(lucy)<~>~qui... | old(fred) | [
"p2",
"p8",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5997386742879375504772261
% SZS output start Proof for 5997386742879375504772261
3. ? [X0] : (~creative(X0) & ~tall(X0)) <=> ? [X0] : (~wise(X0) | calm(X0)) [input p2]
9. old(fred) <=> (~patient(fred) <~> ~wise(fred)) [input p8]
10. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> patient(X0)) [in... | 0 |
Everyone who is not creative is both not creative and not happy and vice versa. Everyone who is both not rich and funny is not tall or funny. Everyone who is both not patient and not calm is either quiet or not rich and vice versa. Everyone who is strong is creative. Everyone who is wise or calm is rich or not calm. Ev... | John is not humble. | neutral | (![X]:(~creative(X)<=>(~creative(X)&~happy(X))))&
(![X]:((~rich(X)&funny(X))=>(~tall(X)|funny(X))))&
(![X]:((~patient(X)&~calm(X))<=>(quiet(X)<~>~rich(X))))&
(![X]:(strong(X)=>creative(X)))&
(![X]:((wise(X)|calm(X))=>(rich(X)|~calm(X))))&
(![X]:((~kind(X)&patient(X))<=>(generous(X)&tall(X))))&
(![X]:((~calm(X)<~>old(X)... | ~humble(john) | [] | null | 0 |
If lucy is either not creative or not funny then mary is either calm or not strong. If someone is either creative or not humble then susan is both not kind and humble. Everyone who is either not tall or not strong is not patient and vice versa. Everyone who is not old or patient is either happy or not rich. If someone ... | Fred is tall. | contradiction | (((~creative(lucy)<~>~funny(lucy)))=>((calm(mary)<~>~strong(mary))))&
((?[X]:((creative(X)<~>~humble(X))))=>((~kind(susan)&humble(susan))))&
(![X]:((~tall(X)<~>~strong(X))<=>~patient(X)))&
(![X]:((~old(X)|patient(X))=>(happy(X)<~>~rich(X))))&
((?[X]:((creative(X)|~generous(X))))<=>(?[X]:((wise(X)|curious(X)))))&
(![X]:... | tall(fred) | [
"p5",
"p7",
"p10",
"p12",
"p14",
"p15",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7398233248038048447701767
% SZS output start Proof for 7398233248038048447701767
6. ! [X0] : ((strong(X0) | ~funny(X0)) => quiet(X0)) [input p5]
8. ! [X0] : ((~wise(X0) | patient(X0)) => (funny(X0) | wise(X0))) [input p7]
11. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> ~calm(X0)) [input p10]
1... | 0 |
If fred is funny or brave then someone is creative or not curious and vice versa. If someone is patient or not humble then someone is both not humble and quiet and vice versa. Everyone who is patient is either happy or rich. If someone is wise or not generous then someone is both patient and quiet. If paul is not brave... | Paul is not kind. | contradiction | (((funny(fred)|brave(fred)))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((patient(X)|~humble(X))))<=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:(patient(X)=>(happy(X)<~>rich(X))))&
((?[X]:((wise(X)|~generous(X))))=>(?[X]:((patient(X)&quiet(X)))))&
((~brave(paul))<=>((generous(paul)<~>~calm(paul))))&
((?[X]:(tall(X)))=>(... | ~kind(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 50497743731839663197468
% SZS output start Proof for 50497743731839663197468
16. ! [X0] : ((kind(X0) | wise(X0)) <=> (~wise(X0) <~> kind(X0))) [input p15]
24. ~kind(paul) [input hypothesis]
67. ! [X0] : (((kind(X0) | wise(X0)) | ((~wise(X0) | ~kind(X0)) & (kind(X0) | wise(X0)))) & (((~kin... | 0 |
Everyone who is both calm and quiet is old.
If susan is not creative or strong then someone is both tall and not generous.
Everyone who is creative or old is quiet and vice versa.
Everyone who is either not quiet or not patient is both not strong and creative and vice versa.
If mary is either not funny or not kind then... | Fred is curious. | contradiction | (![X]:((calm(X)&quiet(X))=>old(X)))&
(((~creative(susan)|strong(susan)))=>(?[X]:((tall(X)&~generous(X)))))&
(![X]:((creative(X)|old(X))<=>quiet(X)))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~strong(X)&creative(X))))&
(((~funny(mary)<~>~kind(mary)))=>(?[X]:((~strong(X)|~generous(X)))))&
(((brave(lucy)|~humble(lucy)))=>(?[X]... | curious(fred) | [
"p2",
"p3",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5679535178111537015934901
% SZS output start Proof for 5679535178111537015934901
3. ! [X0] : ((old(X0) | creative(X0)) <=> quiet(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) <~> ~patient(X0)) <=> (creative(X0) & ~strong(X0))) [input p3]
8. ? [X0] : (curious(X0) | rich(X0)) <=> (~quiet(lucy) &... | 0 |
Everyone who is both wise and generous is both rich and not creative and vice versa.
Everyone who is creative or not curious is both not humble and not kind.
If someone is curious or not quiet then someone is not kind.
Everyone who is wise is both curious and creative.
If mary is happy or not quiet then someone is both... | Fred is quiet. | entailment | (![X]:((wise(X)&generous(X))<=>(rich(X)&~creative(X))))&
(![X]:((creative(X)|~curious(X))=>(~humble(X)&~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:(~kind(X))))&
(![X]:(wise(X)=>(curious(X)&creative(X))))&
(((happy(mary)|~quiet(mary)))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:((~wise(X)&~calm(X))))=>((~wise(john)<~>... | quiet(fred) | [
"p1",
"p6",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 313023858358286765683008
% SZS output start Proof for 313023858358286765683008
2. ! [X0] : ((~curious(X0) | creative(X0)) => (~kind(X0) & ~humble(X0))) [input p1]
7. ? [X0] : (humble(X0) | ~quiet(X0)) <=> (~patient(lucy) & tall(lucy)) [input p6]
9. ! [X0] : ((rich(X0) & ~rich(X0)) <=> (~c... | 0 |
Everyone who is tall is either not happy or humble and vice versa. If someone is both brave and not strong then mary is humble and vice versa. Everyone who is either not humble or humble is either not brave or generous. If fred is both old and not brave then john is not funny and vice versa. Everyone who is wise is hum... | Paul is not strong. | contradiction | (![X]:(tall(X)<=>(~happy(X)<~>humble(X))))&
((?[X]:((brave(X)&~strong(X))))<=>(humble(mary)))&
(![X]:((~humble(X)<~>humble(X))=>(~brave(X)<~>generous(X))))&
(((old(fred)&~brave(fred)))<=>(~funny(john)))&
(![X]:(wise(X)=>(humble(X)|happy(X))))&
(![X]:((creative(X)<~>~calm(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((hu... | ~strong(paul) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p10",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 676452775735711458110541
% SZS output start Proof for 676452775735711458110541
1. ! [X0] : (tall(X0) <=> (~happy(X0) <~> humble(X0))) [input p0]
3. ! [X0] : ((~humble(X0) <~> humble(X0)) => (~brave(X0) <~> generous(X0))) [input p2]
5. ! [X0] : (wise(X0) => (happy(X0) | humble(X0))) [input... | 0 |
If someone is rich or not old then someone is both not humble and tall and vice versa.
Everyone who is creative or not wise is kind.
Everyone who is not happy is not quiet or funny and vice versa.
Everyone who is funny or not quiet is kind.
If someone is rich then fred is either curious or not old and vice versa.
Every... | Susan is strong. | neutral | ((?[X]:((rich(X)|~old(X))))<=>(?[X]:((~humble(X)&tall(X)))))&
(![X]:((creative(X)|~wise(X))=>kind(X)))&
(![X]:(~happy(X)<=>(~quiet(X)|funny(X))))&
(![X]:((funny(X)|~quiet(X))=>kind(X)))&
((?[X]:(rich(X)))<=>((curious(fred)<~>~old(fred))))&
(![X]:((wise(X)&~creative(X))<=>(kind(X)|~creative(X))))&
(((~kind(paul)|brave(p... | strong(susan) | [] | null | 0 |
If someone is not happy or not tall then susan is either not quiet or kind and vice versa.
Everyone who is both tall and humble is rich.
Everyone who is happy is old or not wise and vice versa.
Everyone who is curious is both not kind and not strong and vice versa.
Everyone who is not curious is either not calm or not ... | Mary is not wise. | contradiction | ((?[X]:((~happy(X)|~tall(X))))<=>((~quiet(susan)<~>kind(susan))))&
(![X]:((tall(X)&humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(old(X)|~wise(X))))&
(![X]:(curious(X)<=>(~kind(X)&~strong(X))))&
(![X]:(~curious(X)=>(~calm(X)<~>~old(X))))&
(![X]:((~funny(X)&kind(X))=>(tall(X)|~patient(X))))&
(![X]:((~generous(X)&tall(X))=>(~... | ~wise(mary) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6065910062777179068928358
% SZS output start Proof for 6065910062777179068928358
3. ! [X0] : (happy(X0) <=> (~wise(X0) | old(X0))) [input p2]
12. ! [X0] : ((~old(X0) | strong(X0)) <=> (kind(X0) & ~happy(X0))) [input p11]
15. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (strong(X0) & wise(X0))) [... | 0 |
If mary is both not quiet and not tall then mary is both not calm and not patient and vice versa.
Everyone who is creative is not wise or not humble and vice versa.
If someone is not humble or not brave then susan is curious or not old and vice versa.
If someone is happy or not brave then susan is not strong.
Everyone ... | Fred is brave. | neutral | (((~quiet(mary)&~tall(mary)))<=>((~calm(mary)&~patient(mary))))&
(![X]:(creative(X)<=>(~wise(X)|~humble(X))))&
((?[X]:((~humble(X)|~brave(X))))<=>((curious(susan)|~old(susan))))&
((?[X]:((happy(X)|~brave(X))))=>(~strong(susan)))&
(![X]:((curious(X)&funny(X))<=>humble(X)))&
(![X]:((~brave(X)<~>creative(X))<=>(~creative(... | brave(fred) | [] | null | 0 |
Everyone who is both creative and not brave is both not curious and not tall and vice versa.
If lucy is not patient or funny then someone is both not funny and funny.
Everyone who is not kind is both not generous and not calm and vice versa.
Everyone who is either not rich or quiet is wise or not strong.
Everyone who i... | Susan is funny. | contradiction | (![X]:((creative(X)&~brave(X))<=>(~curious(X)&~tall(X))))&
(((~patient(lucy)|funny(lucy)))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:(~kind(X)<=>(~generous(X)&~calm(X))))&
(![X]:((~rich(X)<~>quiet(X))=>(wise(X)|~strong(X))))&
(![X]:(wise(X)=>(tall(X)<~>wise(X))))&
(![X]:((~kind(X)<~>quiet(X))<=>(rich(X)|tall(X))))&
((?[X]... | funny(susan) | [
"p4",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5104174509014307517513438
% SZS output start Proof for 5104174509014307517513438
5. ! [X0] : (wise(X0) => (tall(X0) <~> wise(X0))) [input p4]
8. ! [X0] : ((tall(X0) | ~funny(X0)) <=> ~rich(X0)) [input p7]
13. ! [X0] : (~rich(X0) => (wise(X0) & ~kind(X0))) [input p12]
19. old(susan) & ~ric... | 0 |
Everyone who is not quiet is not creative.
Everyone who is either not brave or rich is both not curious and calm.
If someone is either not curious or not tall then someone is both kind and not calm and vice versa.
If susan is not kind or not happy then someone is both humble and not humble.
Everyone who is old is not c... | Paul is funny. | entailment | (![X]:(~quiet(X)=>~creative(X)))&
(![X]:((~brave(X)<~>rich(X))=>(~curious(X)&calm(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(((~kind(susan)|~happy(susan)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creativ... | funny(paul) | [
"p4",
"p5",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 973159674623264726852176
% SZS output start Proof for 973159674623264726852176
5. ! [X0] : (old(X0) <=> ~calm(X0)) [input p4]
6. ! [X0] : ((~happy(X0) | funny(X0)) <=> ~humble(X0)) [input p5]
7. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p6]
11. ! [X0] : ((~... | 0 |
If someone is both not brave and rich then someone is not creative. If someone is not creative then someone is both not creative and not strong and vice versa. Everyone who is not creative or not generous is either not tall or not curious and vice versa. Everyone who is both not brave and old is either not humble or no... | Susan is calm. | contradiction | ((?[X]:((~brave(X)&rich(X))))=>(?[X]:(~creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~creative(X)&~strong(X)))))&
(![X]:((~creative(X)|~generous(X))<=>(~tall(X)<~>~curious(X))))&
(![X]:((~brave(X)&old(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((strong(X)|wise(X))=>~calm(X)))&
(![X]:((humble(X)&~humble(X))<=>(~wise(X... | calm(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 755013844306632204240075
% SZS output start Proof for 755013844306632204240075
13. ! [X0] : ((humble(X0) & ~humble(X0)) <=> calm(X0)) [input p12]
23. calm(susan) [input hypothesis]
56. ! [X0] : (((humble(X0) & ~humble(X0)) | ~calm(X0)) & (calm(X0) | (~humble(X0) | humble(X0)))) [nnf trans... | 0 |
Everyone who is either not generous or humble is either patient or not brave. If fred is both not tall and funny then someone is not brave. If paul is both old and not brave then someone is either not creative or funny and vice versa. Everyone who is not quiet or kind is quiet or not funny. Everyone who is both not tal... | Fred is tall. | neutral | (![X]:((~generous(X)<~>humble(X))=>(patient(X)<~>~brave(X))))&
(((~tall(fred)&funny(fred)))=>(?[X]:(~brave(X))))&
(((old(paul)&~brave(paul)))<=>(?[X]:((~creative(X)<~>funny(X)))))&
(![X]:((~quiet(X)|kind(X))=>(quiet(X)|~funny(X))))&
(![X]:((~tall(X)&brave(X))<=>(~rich(X)|wise(X))))&
(![X]:(~kind(X)=>(generous(X)&~stron... | tall(fred) | [] | null | 0 |
Everyone who is both not strong and not curious is not quiet and vice versa. If someone is either kind or happy then paul is not brave or not calm and vice versa. Everyone who is not rich is either curious or wise and vice versa. If john is either creative or not tall then paul is kind. If paul is not tall or wise then... | Mary is tall. | contradiction | (![X]:((~strong(X)&~curious(X))<=>~quiet(X)))&
((?[X]:((kind(X)<~>happy(X))))<=>((~brave(paul)|~calm(paul))))&
(![X]:(~rich(X)<=>(curious(X)<~>wise(X))))&
(((creative(john)<~>~tall(john)))=>(kind(paul)))&
(((~tall(paul)|wise(paul)))<=>(~tall(susan)))&
(![X]:(~tall(X)=>(~patient(X)<~>kind(X))))&
(![X]:(happy(X)<=>funny(... | tall(mary) | [
"p2",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6785073041664562645889122
% SZS output start Proof for 6785073041664562645889122
3. ! [X0] : (~rich(X0) <=> (curious(X0) <~> wise(X0))) [input p2]
6. ! [X0] : (~tall(X0) => (~patient(X0) <~> kind(X0))) [input p5]
11. ! [X0] : ((kind(X0) & ~wise(X0)) <=> tall(X0)) [input p10]
15. ! [X0] : ... | 0 |
Everyone who is rich is not happy or not curious.
Everyone who is both brave and not old is either not kind or not generous.
If someone is either generous or not quiet then lucy is not calm and vice versa.
If john is calm then someone is not tall and vice versa.
If alice is both not happy and not patient then someone i... | Fred is not brave. | entailment | (![X]:(rich(X)=>(~happy(X)|~curious(X))))&
(![X]:((brave(X)&~old(X))=>(~kind(X)<~>~generous(X))))&
((?[X]:((generous(X)<~>~quiet(X))))<=>(~calm(lucy)))&
((calm(john))<=>(?[X]:(~tall(X))))&
(((~happy(alice)&~patient(alice)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~calm(X)<~>patient(X))))&
((?[X]:(funny(X... | ~brave(fred) | [
"p3",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6848949651376134506960985
% SZS output start Proof for 6848949651376134506960985
4. calm(john) <=> ? [X0] : ~tall(X0) [input p3]
9. ? [X0] : ~tall(X0) => brave(john) [input p8]
13. (happy(fred) & ~brave(fred)) <=> ? [X0] : brave(X0) [input p12]
22. ~humble(john) & calm(john) [input p21]
2... | 0 |
If someone is quiet then lucy is happy or not tall and vice versa. If someone is not creative then someone is not happy or kind and vice versa. Everyone who is humble is not funny and vice versa. Everyone who is strong is either not calm or not rich and vice versa. Everyone who is both brave and creative is curious or ... | Fred is not humble. | contradiction | ((?[X]:(quiet(X)))<=>((happy(lucy)|~tall(lucy))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:(humble(X)<=>~funny(X)))&
(![X]:(strong(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((brave(X)&creative(X))=>(curious(X)|humble(X))))&
(![X]:((~curious(X)&~kind(X))<=>rich(X)))&
((?[X]:((~quiet(X)<~>rich(X))))=>(?[X... | ~humble(fred) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 64345531517537308182386
% SZS output start Proof for 64345531517537308182386
3. ! [X0] : (humble(X0) <=> ~funny(X0)) [input p2]
12. ! [X0] : (funny(X0) <=> (~curious(X0) & ~funny(X0))) [input p11]
25. ~humble(fred) [input hypothesis]
46. ! [X0] : ((humble(X0) | funny(X0)) & (~funny(X0) | ... | 0 |
If someone is either kind or not strong then alice is either not tall or not calm and vice versa.
Everyone who is tall is not curious.
If someone is both generous and not tall then someone is kind or generous.
Everyone who is either not happy or happy is generous or not curious.
Everyone who is old is both wise and kin... | Alice is not old. | contradiction | ((?[X]:((kind(X)<~>~strong(X))))<=>((~tall(alice)<~>~calm(alice))))&
(![X]:(tall(X)=>~curious(X)))&
((?[X]:((generous(X)&~tall(X))))=>(?[X]:((kind(X)|generous(X)))))&
(![X]:((~happy(X)<~>happy(X))=>(generous(X)|~curious(X))))&
(![X]:(old(X)=>(wise(X)&kind(X))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((brave(paul)<~>~wise(p... | ~old(alice) | [
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7981940347632034484657018
% SZS output start Proof for 7981940347632034484657018
9. ! [X0] : ((strong(X0) | ~generous(X0)) => creative(X0)) [input p8]
10. ! [X0] : ((~funny(X0) | creative(X0)) => quiet(X0)) [input p9]
12. ~quiet(susan) <=> (creative(mary) <~> ~strong(mary)) [input p11]
13... | 0 |
If fred is both not strong and kind then someone is strong and vice versa. Everyone who is both not kind and curious is not creative. If someone is either rich or not wise then mary is creative and vice versa. If someone is not old or wise then lucy is not humble and vice versa. If mary is quiet or not humble then some... | Mary is not curious. | neutral | (((~strong(fred)&kind(fred)))<=>(?[X]:(strong(X))))&
(![X]:((~kind(X)&curious(X))=>~creative(X)))&
((?[X]:((rich(X)<~>~wise(X))))<=>(creative(mary)))&
((?[X]:((~old(X)|wise(X))))<=>(~humble(lucy)))&
(((quiet(mary)|~humble(mary)))<=>(?[X]:((~kind(X)&quiet(X)))))&
(((quiet(paul)|patient(paul)))<=>((~brave(paul)|patient(p... | ~curious(mary) | [] | null | 0 |
If someone is either not creative or not rich then mary is rich or patient. If someone is either not quiet or not wise then someone is tall or not brave and vice versa. If fred is wise or not tall then someone is either creative or patient and vice versa. Everyone who is kind or not tall is not brave. Everyone who is e... | John is not generous. | contradiction | ((?[X]:((~creative(X)<~>~rich(X))))=>((rich(mary)|patient(mary))))&
((?[X]:((~quiet(X)<~>~wise(X))))<=>(?[X]:((tall(X)|~brave(X)))))&
(((wise(fred)|~tall(fred)))<=>(?[X]:((creative(X)<~>patient(X)))))&
(![X]:((kind(X)|~tall(X))=>~brave(X)))&
(![X]:((tall(X)<~>quiet(X))=>(~rich(X)<~>brave(X))))&
((?[X]:(strong(X)))<=>(?... | ~generous(john) | [
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4722493421023456560301043
% SZS output start Proof for 4722493421023456560301043
9. ? [X0] : (tall(X0) & ~creative(X0)) <=> ? [X0] : ~generous(X0) [input p8]
10. ! [X0] : ((tall(X0) | ~kind(X0)) <=> wise(X0)) [input p9]
15. ! [X0] : ((~happy(X0) | wise(X0)) => (creative(X0) & generous(X0)... | 0 |
Everyone who is wise is either not brave or not happy.
Everyone who is not patient or humble is not humble.
If susan is both creative and not calm then someone is funny and vice versa.
Everyone who is rich is brave or not patient.
Everyone who is not humble or wise is both not curious and patient.
Everyone who is calm ... | Susan is not creative. | entailment | (![X]:(wise(X)=>(~brave(X)<~>~happy(X))))&
(![X]:((~patient(X)|humble(X))=>~humble(X)))&
(((creative(susan)&~calm(susan)))<=>(?[X]:(funny(X))))&
(![X]:(rich(X)=>(brave(X)|~patient(X))))&
(![X]:((~humble(X)|wise(X))=>(~curious(X)&patient(X))))&
(![X]:(calm(X)<=>(patient(X)<~>wise(X))))&
(![X]:((humble(X)<~>brave(X))=>(~... | ~creative(susan) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 766723487005151411649740
% SZS output start Proof for 766723487005151411649740
2. ! [X0] : ((humble(X0) | ~patient(X0)) => ~humble(X0)) [input p1]
3. (~calm(susan) & creative(susan)) <=> ? [X0] : funny(X0) [input p2]
5. ! [X0] : ((wise(X0) | ~humble(X0)) => (patient(X0) & ~curious(X0))) [... | 0 |
If alice is not funny then fred is both not curious and creative.
If john is either tall or quiet then someone is either not calm or not curious.
If fred is either not brave or tall then paul is calm.
Everyone who is not kind or not rich is either calm or wise.
Everyone who is either not generous or rich is both quiet ... | Lucy is wise. | contradiction | ((~funny(alice))=>((~curious(fred)&creative(fred))))&
(((tall(john)<~>quiet(john)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(((~brave(fred)<~>tall(fred)))=>(calm(paul)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>rich(X))=>(quiet(X)&old(X))))&
(((~kind(susan)&~calm(susan)))=>((old(susan)<~>... | wise(lucy) | [
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5292213872369034141423628
% SZS output start Proof for 5292213872369034141423628
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~happy(X0) & old(X0))) [input p8]
10. ? [X0] : (strong(X0) & quiet(X0)) <=> ? [X0] : (old(X0) | ~brave(X0)) [input p9]
11. ? [X0] : ~strong(X0) => (~brave(alice) & ... | 0 |
If someone is kind then john is not curious or brave and vice versa.
Everyone who is not kind is both humble and not brave and vice versa.
Everyone who is both not generous and not quiet is both not kind and old and vice versa.
Everyone who is patient is not creative and vice versa.
Everyone who is either not creative ... | Lucy is kind. | entailment | ((?[X]:(kind(X)))<=>((~curious(john)|brave(john))))&
(![X]:(~kind(X)<=>(humble(X)&~brave(X))))&
(![X]:((~generous(X)&~quiet(X))<=>(~kind(X)&old(X))))&
(![X]:(patient(X)<=>~creative(X)))&
(![X]:((~creative(X)<~>~calm(X))=>generous(X)))&
(![X]:((calm(X)&~tall(X))=>rich(X)))&
(![X]:(old(X)=>~tall(X)))&
((humble(john))=>(?... | kind(lucy) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 249028456480877020043570
% SZS output start Proof for 249028456480877020043570
2. ! [X0] : (~kind(X0) <=> (~brave(X0) & humble(X0))) [input p1]
16. ! [X0] : (kind(X0) <=> ~brave(X0)) [input p15]
24. ~kind(lucy) [input hypothesis]
43. ! [X0] : ((~kind(X0) | (brave(X0) | ~humble(X0))) & ((~... | 0 |
If fred is both humble and calm then someone is wise or not creative. Everyone who is both quiet and not strong is funny or wise and vice versa. Everyone who is tall or not creative is not wise. If lucy is both not happy and not strong then someone is not rich or not quiet. Everyone who is both not tall and tall is bot... | Susan is rich. | neutral | (((humble(fred)&calm(fred)))=>(?[X]:((wise(X)|~creative(X)))))&
(![X]:((quiet(X)&~strong(X))<=>(funny(X)|wise(X))))&
(![X]:((tall(X)|~creative(X))=>~wise(X)))&
(((~happy(lucy)&~strong(lucy)))=>(?[X]:((~rich(X)|~quiet(X)))))&
(![X]:((~tall(X)&tall(X))<=>(~generous(X)&quiet(X))))&
(((tall(susan)<~>kind(susan)))=>(?[X]:(q... | rich(susan) | [] | null | 0 |
If alice is not tall or not quiet then mary is either not patient or not creative.
Everyone who is both not funny and not strong is not calm and vice versa.
Everyone who is either rich or not happy is not patient or not humble and vice versa.
If susan is quiet or wise then susan is either quiet or rich and vice versa.
... | Susan is not old. | neutral | (((~tall(alice)|~quiet(alice)))=>((~patient(mary)<~>~creative(mary))))&
(![X]:((~funny(X)&~strong(X))<=>~calm(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)|~humble(X))))&
(((quiet(susan)|wise(susan)))<=>((quiet(susan)<~>rich(susan))))&
((?[X]:(~calm(X)))=>(?[X]:(~brave(X))))&
(![X]:((creative(X)&~humble(X))=>~old(X... | ~old(susan) | [] | null | 0 |
If someone is not old or funny then john is either calm or not old.
If someone is both generous and not wise then someone is both generous and not calm.
If someone is not rich or not brave then someone is curious.
Everyone who is brave is both humble and not old.
Everyone who is rich or not strong is both not generous ... | John is not patient. | contradiction | ((?[X]:((~old(X)|funny(X))))=>((calm(john)<~>~old(john))))&
((?[X]:((generous(X)&~wise(X))))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:((~rich(X)|~brave(X))))=>(?[X]:(curious(X))))&
(![X]:(brave(X)=>(humble(X)&~old(X))))&
(![X]:((rich(X)|~strong(X))<=>(~generous(X)&rich(X))))&
((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:(... | ~patient(john) | [
"p6",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4698726804991778239938520
% SZS output start Proof for 4698726804991778239938520
7. ! [X0] : ((generous(X0) | ~creative(X0)) => (calm(X0) & ~calm(X0))) [input p6]
10. ! [X0] : ((~old(X0) | ~funny(X0)) => patient(X0)) [input p9]
13. ? [X0] : (~creative(X0) <~> old(X0)) <=> (funny(alice) <~... | 0 |
If fred is both happy and not funny then someone is not funny or rich and vice versa. Everyone who is either creative or not strong is both not humble and not funny and vice versa. Everyone who is quiet or not tall is kind or patient. If someone is both not generous and wise then paul is not tall. Everyone who is not o... | Alice is generous. | contradiction | (((happy(fred)&~funny(fred)))<=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:((creative(X)<~>~strong(X))<=>(~humble(X)&~funny(X))))&
(![X]:((quiet(X)|~tall(X))=>(kind(X)|patient(X))))&
((?[X]:((~generous(X)&wise(X))))=>(~tall(paul)))&
(![X]:((~old(X)|generous(X))=>~quiet(X)))&
(![X]:((wise(X)&calm(X))<=>(~generous(X)|humble(X)... | generous(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1531601040359148449330200
% SZS output start Proof for 1531601040359148449330200
23. curious(alice) & ~generous(alice) [input p22]
25. generous(alice) [input hypothesis]
130. ~generous(alice) [cnf transformation 23]
133. generous(alice) [cnf transformation 25]
293. $false [subsumption res... | 0 |
If someone is strong then someone is both not rich and not patient and vice versa. If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient... | Paul is quiet. | contradiction | ((?[X]:(strong(X)))<=>(?[X]:((~rich(X)&~patient(X)))))&
((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(... | quiet(paul) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2995059255378588982522173
% SZS output start Proof for 2995059255378588982522173
3. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> (~old(X0) | ~kind(X0))) [input p2]
6. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~creative(X0)) [input p5]
7. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (calm(X0) <~> ~rich... | 0 |
Everyone who is funny or not humble is either tall or funny. Everyone who is both kind and happy is humble. If lucy is curious then someone is kind and vice versa. Everyone who is not funny is both not calm and curious. Everyone who is both not quiet and curious is not generous and vice versa. If someone is not kind th... | Alice is not humble. | neutral | (![X]:((funny(X)|~humble(X))=>(tall(X)<~>funny(X))))&
(![X]:((kind(X)&happy(X))=>humble(X)))&
((curious(lucy))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)=>(~calm(X)&curious(X))))&
(![X]:((~quiet(X)&curious(X))<=>~generous(X)))&
((?[X]:(~kind(X)))<=>(~kind(mary)))&
(((~wise(mary)|~generous(mary)))=>(?[X]:((humble(X)<~>~wise(... | ~humble(alice) | [] | null | 0 |
Everyone who is either not old or not brave is not strong or creative.
If mary is either not humble or humble then susan is both generous and curious and vice versa.
Everyone who is not calm is both not rich and kind.
Everyone who is strong is both generous and funny and vice versa.
If someone is either old or not gene... | John is not brave. | neutral | (![X]:((~old(X)<~>~brave(X))=>(~strong(X)|creative(X))))&
(((~humble(mary)<~>humble(mary)))<=>((generous(susan)&curious(susan))))&
(![X]:(~calm(X)=>(~rich(X)&kind(X))))&
(![X]:(strong(X)<=>(generous(X)&funny(X))))&
((?[X]:((old(X)<~>~generous(X))))<=>(?[X]:((quiet(X)|~creative(X)))))&
((?[X]:((~wise(X)&~funny(X))))<=>(... | ~brave(john) | [] | null | 0 |
Everyone who is both creative and not happy is not strong.
Everyone who is not old or funny is strong.
Everyone who is not humble or happy is old.
Everyone who is either not patient or old is generous or funny and vice versa.
Everyone who is wise or not humble is both not strong and not funny.
If someone is happy or no... | Mary is not generous. | entailment | (![X]:((creative(X)&~happy(X))=>~strong(X)))&
(![X]:((~old(X)|funny(X))=>strong(X)))&
(![X]:((~humble(X)|happy(X))=>old(X)))&
(![X]:((~patient(X)<~>old(X))<=>(generous(X)|funny(X))))&
(![X]:((wise(X)|~humble(X))=>(~strong(X)&~funny(X))))&
((?[X]:((happy(X)|~tall(X))))<=>(curious(mary)))&
(((patient(susan)&~kind(susan))... | ~generous(mary) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8646294272597188823124799
% SZS output start Proof for 8646294272597188823124799
3. ! [X0] : ((happy(X0) | ~humble(X0)) => old(X0)) [input p2]
4. ! [X0] : ((~patient(X0) <~> old(X0)) <=> (funny(X0) | generous(X0))) [input p3]
5. ! [X0] : ((~humble(X0) | wise(X0)) => (~funny(X0) & ~strong(... | 0 |
If mary is both brave and kind then fred is either not rich or patient. If lucy is both funny and not tall then someone is either not rich or not old. Everyone who is not wise is either patient or not happy. Everyone who is either brave or not generous is tall. If mary is happy then mary is both happy and not old. If m... | Mary is not patient. | neutral | (((brave(mary)&kind(mary)))=>((~rich(fred)<~>patient(fred))))&
(((funny(lucy)&~tall(lucy)))=>(?[X]:((~rich(X)<~>~old(X)))))&
(![X]:(~wise(X)=>(patient(X)<~>~happy(X))))&
(![X]:((brave(X)<~>~generous(X))=>tall(X)))&
((happy(mary))=>((happy(mary)&~old(mary))))&
(((rich(mary)<~>calm(mary)))<=>((calm(john)<~>~generous(john... | ~patient(mary) | [] | null | 0 |
If alice is not funny then someone is either not happy or not funny.
If mary is rich or not rich then paul is not kind or not rich.
If someone is not wise or not tall then someone is either not patient or not humble.
Everyone who is not strong or not wise is both calm and not generous.
Everyone who is either not kind o... | Mary is kind. | neutral | ((~funny(alice))=>(?[X]:((~happy(X)<~>~funny(X)))))&
(((rich(mary)|~rich(mary)))=>((~kind(paul)|~rich(paul))))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((~strong(X)|~wise(X))=>(calm(X)&~generous(X))))&
(![X]:((~kind(X)<~>old(X))<=>(funny(X)&generous(X))))&
(![X]:((wise(X)|~quiet(X))=>... | kind(mary) | [] | null | 0 |
Everyone who is both quiet and not rich is both not generous and not old and vice versa.
Everyone who is generous or wise is either not humble or not happy.
Everyone who is not humble is strong or not wise and vice versa.
Everyone who is both wise and not quiet is not humble or not patient and vice versa.
Everyone who ... | Paul is creative. | entailment | (![X]:((quiet(X)&~rich(X))<=>(~generous(X)&~old(X))))&
(![X]:((generous(X)|wise(X))=>(~humble(X)<~>~happy(X))))&
(![X]:(~humble(X)<=>(strong(X)|~wise(X))))&
(![X]:((wise(X)&~quiet(X))<=>(~humble(X)|~patient(X))))&
(![X]:(generous(X)=>(humble(X)&~quiet(X))))&
(![X]:((rich(X)&~generous(X))<=>(brave(X)&~tall(X))))&
((~qui... | creative(paul) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 743841712560504119329936
% SZS output start Proof for 743841712560504119329936
4. ! [X0] : ((~quiet(X0) & wise(X0)) <=> (~patient(X0) | ~humble(X0))) [input p3]
8. (curious(susan) & ~rich(susan)) <=> ? [X0] : (~happy(X0) | humble(X0)) [input p7]
10. ! [X0] : ((~kind(X0) | curious(X0)) <=>... | 0 |
Everyone who is both not creative and happy is not wise or not brave and vice versa. Everyone who is both old and funny is humble and vice versa. Everyone who is strong or not curious is both curious and not tall and vice versa. Everyone who is not creative or not rich is both not curious and not calm and vice versa. E... | Mary is generous. | neutral | (![X]:((~creative(X)&happy(X))<=>(~wise(X)|~brave(X))))&
(![X]:((old(X)&funny(X))<=>humble(X)))&
(![X]:((strong(X)|~curious(X))<=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)|~rich(X))<=>(~curious(X)&~calm(X))))&
(![X]:(~brave(X)=>~kind(X)))&
((?[X]:(generous(X)))=>((tall(paul)&~patient(paul))))&
(![X]:((strong(X)&~ta... | generous(mary) | [] | null | 0 |
If someone is not wise or not calm then someone is either funny or happy.
Everyone who is both not patient and quiet is both generous and not quiet.
Everyone who is calm is either old or not creative.
If fred is both calm and not brave then someone is not strong or not happy and vice versa.
Everyone who is either brave... | Mary is not funny. | entailment | ((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((~patient(X)&quiet(X))=>(generous(X)&~quiet(X))))&
(![X]:(calm(X)=>(old(X)<~>~creative(X))))&
(((calm(fred)&~brave(fred)))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(quiet(X)|~old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)... | ~funny(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7588872902122799199687879
% SZS output start Proof for 7588872902122799199687879
7. ! [X0] : (~funny(X0) <=> (funny(X0) | calm(X0))) [input p6]
22. funny(mary) [input hypothesis]
50. ! [X0] : ((~funny(X0) | (~funny(X0) & ~calm(X0))) & ((funny(X0) | calm(X0)) | funny(X0))) [nnf transformat... | 0 |
If alice is kind then someone is not quiet or happy.
Everyone who is funny is humble.
Everyone who is either not patient or funny is brave or creative and vice versa.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall... | Paul is not patient. | contradiction | ((kind(alice))=>(?[X]:((~quiet(X)|happy(X)))))&
(![X]:(funny(X)=>humble(X)))&
(![X]:((~patient(X)<~>funny(X))<=>(brave(X)|creative(X))))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X... | ~patient(paul) | [
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9208304765194199137475725
% SZS output start Proof for 9208304765194199137475725
7. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p6]
10. ! [X0] : (strong(X0) <=> (~quiet(X0) & creative(X0))) [input p9]
14. ! [X0] : (~patient(X0) => quiet(X0)) [input p13]
24. ~patien... | 0 |
If someone is either generous or patient then john is wise or not quiet and vice versa.
Everyone who is both funny and strong is generous.
If someone is both wise and not creative then someone is either funny or not patient and vice versa.
Everyone who is not creative or funny is creative or tall and vice versa.
Everyo... | Susan is wise. | entailment | ((?[X]:((generous(X)<~>patient(X))))<=>((wise(john)|~quiet(john))))&
(![X]:((funny(X)&strong(X))=>generous(X)))&
((?[X]:((wise(X)&~creative(X))))<=>(?[X]:((funny(X)<~>~patient(X)))))&
(![X]:((~creative(X)|funny(X))<=>(creative(X)|tall(X))))&
(![X]:((old(X)<~>calm(X))=>(~wise(X)&~calm(X))))&
(![X]:((curious(X)<~>patient... | wise(susan) | [
"p3",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5985473949972816943374761
% SZS output start Proof for 5985473949972816943374761
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (tall(X0) | creative(X0))) [input p3]
7. ! [X0] : ((~wise(X0) | funny(X0)) => ~creative(X0)) [input p6]
9. ! [X0] : (~creative(X0) <=> (funny(X0) <~> ~creative(X0)... | 0 |
Everyone who is both tall and not curious is rich and vice versa.
Everyone who is curious is both old and not brave and vice versa.
If fred is either not brave or wise then someone is either not brave or not old.
If someone is either not calm or not patient then alice is both not old and calm and vice versa.
If someone... | Susan is wise. | entailment | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(old(X)&~brave(X))))&
(((~brave(fred)<~>wise(fred)))=>(?[X]:((~brave(X)<~>~old(X)))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>((~old(alice)&calm(alice))))&
((?[X]:((curious(X)|~humble(X))))=>(?[X]:(calm(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>~generous(X))))&... | wise(susan) | [
"p1",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4125596310280606965862166
% SZS output start Proof for 4125596310280606965862166
2. ! [X0] : (curious(X0) <=> (~brave(X0) & old(X0))) [input p1]
13. ? [X0] : (kind(X0) | ~rich(X0)) <=> curious(lucy) [input p12]
15. ? [X0] : (~wise(X0) | curious(X0)) => ? [X0] : ~rich(X0) [input p14]
21. ~... | 0 |
If susan is both patient and quiet then someone is both calm and tall.
Everyone who is curious or not strong is not rich and vice versa.
Everyone who is strong is creative and vice versa.
If lucy is both not old and strong then john is either rich or not curious.
If alice is either not funny or not strong then someone ... | Susan is quiet. | contradiction | (((patient(susan)&quiet(susan)))=>(?[X]:((calm(X)&tall(X)))))&
(![X]:((curious(X)|~strong(X))<=>~rich(X)))&
(![X]:(strong(X)<=>creative(X)))&
(((~old(lucy)&strong(lucy)))=>((rich(john)<~>~curious(john))))&
(((~funny(alice)<~>~strong(alice)))<=>(?[X]:((calm(X)<~>old(X)))))&
(((~wise(alice)|~calm(alice)))=>((~creative(pa... | quiet(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8581623177827292962969066
% SZS output start Proof for 8581623177827292962969066
21. ~wise(susan) & ~quiet(susan) [input p20]
23. quiet(susan) [input hypothesis]
123. ~quiet(susan) [cnf transformation 21]
127. quiet(susan) [cnf transformation 23]
137. 2 <=> quiet(susan) [avatar definition... | 0 |
Everyone who is both happy and not curious is both brave and not brave.
Everyone who is not old or not wise is both wise and happy and vice versa.
Everyone who is either rich or not humble is both calm and wise and vice versa.
Everyone who is not happy is strong and vice versa.
If lucy is both generous and not calm the... | John is not strong. | contradiction | (![X]:((happy(X)&~curious(X))=>(brave(X)&~brave(X))))&
(![X]:((~old(X)|~wise(X))<=>(wise(X)&happy(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(calm(X)&wise(X))))&
(![X]:(~happy(X)<=>strong(X)))&
(((generous(lucy)&~calm(lucy)))<=>(?[X]:(~wise(X))))&
(((~wise(mary)|~strong(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:(~b... | ~strong(john) | [
"p1",
"p3",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 39151849987674912279614
% SZS output start Proof for 39151849987674912279614
2. ! [X0] : ((~wise(X0) | ~old(X0)) <=> (happy(X0) & wise(X0))) [input p1]
4. ! [X0] : (~happy(X0) <=> strong(X0)) [input p3]
9. (~creative(john) <~> ~happy(john)) <=> (kind(mary) | humble(mary)) [input p8]
11. !... | 0 |
Everyone who is both not wise and not tall is either kind or curious and vice versa.
If susan is generous then someone is happy or creative.
Everyone who is either not funny or quiet is both creative and quiet and vice versa.
If someone is not curious then john is either brave or not calm and vice versa.
Everyone who i... | John is generous. | entailment | (![X]:((~wise(X)&~tall(X))<=>(kind(X)<~>curious(X))))&
((generous(susan))=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((~funny(X)<~>quiet(X))<=>(creative(X)&quiet(X))))&
((?[X]:(~curious(X)))<=>((brave(john)<~>~calm(john))))&
(![X]:((creative(X)<~>~strong(X))<=>(~strong(X)|~patient(X))))&
(((curious(alice)&~creative(alice... | generous(john) | [
"p4",
"p7",
"p8",
"p11",
"p16",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 464248983462050895386027
% SZS output start Proof for 464248983462050895386027
5. ! [X0] : ((creative(X0) <~> ~strong(X0)) <=> (~patient(X0) | ~strong(X0))) [input p4]
8. (quiet(alice) <~> strong(alice)) => (~old(john) & patient(john)) [input p7]
9. ? [X0] : (~humble(X0) <~> curious(X0)) ... | 0 |
Everyone who is wise is funny.
If someone is both humble and curious then alice is either happy or not happy.
If fred is not generous then someone is not humble or not strong and vice versa.
If susan is not strong then john is kind.
If lucy is creative then someone is both happy and funny.
Everyone who is both quiet an... | Fred is not generous. | entailment | (![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~old(X)&~funny(X))))&
(![X]:(old(X)<=>(humble(X)&~ta... | ~generous(fred) | [
"p2",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 23068893415995655708996
% SZS output start Proof for 23068893415995655708996
3. ~generous(fred) <=> ? [X0] : (~strong(X0) | ~humble(X0)) [input p2]
6. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p5]
11. ? [X0] : quiet(X0) <=> (humble(paul) | generous(paul)) [inp... | 0 |
Everyone who is not tall or happy is either not creative or not humble.
If paul is creative or not humble then john is either strong or humble.
Everyone who is generous is not funny and vice versa.
Everyone who is both not creative and not calm is not brave.
Everyone who is not generous or not rich is either tall or fu... | Paul is not old. | neutral | (![X]:((~tall(X)|happy(X))=>(~creative(X)<~>~humble(X))))&
(((creative(paul)|~humble(paul)))=>((strong(john)<~>humble(john))))&
(![X]:(generous(X)<=>~funny(X)))&
(![X]:((~creative(X)&~calm(X))=>~brave(X)))&
(![X]:((~generous(X)|~rich(X))<=>(tall(X)<~>funny(X))))&
(((~brave(alice)&~happy(alice)))=>(?[X]:((quiet(X)|~old(... | ~old(paul) | [] | null | 0 |
If mary is either not tall or patient then someone is not old or not wise and vice versa. If alice is not tall or brave then someone is not kind and vice versa. Everyone who is brave is either not rich or not quiet. Everyone who is happy or tall is both not funny and not quiet and vice versa. Everyone who is not funny ... | Paul is kind. | neutral | (((~tall(mary)<~>patient(mary)))<=>(?[X]:((~old(X)|~wise(X)))))&
(((~tall(alice)|brave(alice)))<=>(?[X]:(~kind(X))))&
(![X]:(brave(X)=>(~rich(X)<~>~quiet(X))))&
(![X]:((happy(X)|tall(X))<=>(~funny(X)&~quiet(X))))&
(![X]:((~funny(X)|funny(X))<=>(funny(X)&~patient(X))))&
(![X]:((~brave(X)|~happy(X))=>strong(X)))&
(![X]:(... | kind(paul) | [] | null | 0 |
Everyone who is either brave or quiet is both not strong and not tall and vice versa.
Everyone who is either patient or curious is not old and vice versa.
Everyone who is creative or funny is either curious or happy.
If someone is not kind then john is tall and vice versa.
If someone is not strong or humble then john i... | John is generous. | neutral | (![X]:((brave(X)<~>quiet(X))<=>(~strong(X)&~tall(X))))&
(![X]:((patient(X)<~>curious(X))<=>~old(X)))&
(![X]:((creative(X)|funny(X))=>(curious(X)<~>happy(X))))&
((?[X]:(~kind(X)))<=>(tall(john)))&
((?[X]:((~strong(X)|humble(X))))=>((~wise(john)|~happy(john))))&
(![X]:((~strong(X)&humble(X))=>(strong(X)<~>rich(X))))&
((?... | generous(john) | [] | null | 0 |
Everyone who is both not kind and patient is both not kind and funny and vice versa.
Everyone who is either not patient or generous is both not patient and generous and vice versa.
If someone is either rich or brave then paul is quiet or not patient.
If someone is either not humble or not generous then someone is eithe... | Susan is not patient. | contradiction | (![X]:((~kind(X)&patient(X))<=>(~kind(X)&funny(X))))&
(![X]:((~patient(X)<~>generous(X))<=>(~patient(X)&generous(X))))&
((?[X]:((rich(X)<~>brave(X))))=>((quiet(paul)|~patient(paul))))&
((?[X]:((~humble(X)<~>~generous(X))))<=>(?[X]:((~humble(X)<~>~patient(X)))))&
(![X]:(~funny(X)<=>(~generous(X)<~>~creative(X))))&
(![X]... | ~patient(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9160558398687381803522166
% SZS output start Proof for 9160558398687381803522166
2. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> (generous(X0) & ~patient(X0))) [input p1]
24. ~patient(susan) [input hypothesis]
38. ! [X0] : ((((~generous(X0) | patient(X0)) & (generous(X0) | ~patient(X0)))... | 0 |
Everyone who is not kind is tall or strong and vice versa. If someone is not patient or patient then someone is tall or brave. If susan is not wise or not curious then fred is both creative and not humble. Everyone who is both not brave and quiet is brave and vice versa. Everyone who is either kind or not patient is bo... | Alice is curious. | entailment | (![X]:(~kind(X)<=>(tall(X)|strong(X))))&
((?[X]:((~patient(X)|patient(X))))=>(?[X]:((tall(X)|brave(X)))))&
(((~wise(susan)|~curious(susan)))=>((creative(fred)&~humble(fred))))&
(![X]:((~brave(X)&quiet(X))<=>brave(X)))&
(![X]:((kind(X)<~>~patient(X))<=>(curious(X)&funny(X))))&
(![X]:((old(X)<~>curious(X))<=>calm(X)))&
(... | curious(alice) | [
"p3",
"p4",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5973801736835597692534726
% SZS output start Proof for 5973801736835597692534726
4. ! [X0] : ((quiet(X0) & ~brave(X0)) <=> brave(X0)) [input p3]
5. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (funny(X0) & curious(X0))) [input p4]
13. ! [X0] : ((~calm(X0) | ~old(X0)) => old(X0)) [input p12]
... | 0 |
Everyone who is curious or not brave is both not creative and old. Everyone who is either brave or not strong is both not patient and patient and vice versa. Everyone who is not tall or not wise is both happy and not creative and vice versa. If lucy is patient or not generous then alice is not old or wise. Everyone who... | Paul is happy. | entailment | (![X]:((curious(X)|~brave(X))=>(~creative(X)&old(X))))&
(![X]:((brave(X)<~>~strong(X))<=>(~patient(X)&patient(X))))&
(![X]:((~tall(X)|~wise(X))<=>(happy(X)&~creative(X))))&
(((patient(lucy)|~generous(lucy)))=>((~old(alice)|wise(alice))))&
(![X]:((~funny(X)|~creative(X))=>(old(X)<~>~quiet(X))))&
(![X]:((~calm(X)&~genero... | happy(paul) | [
"p0",
"p1",
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 672579663002466608845251
% SZS output start Proof for 672579663002466608845251
1. ! [X0] : ((~brave(X0) | curious(X0)) => (old(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (patient(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) <=> (~... | 0 |
If someone is both quiet and not old then someone is tall or not quiet.
If fred is both happy and not rich then someone is generous and vice versa.
Everyone who is rich or not quiet is either happy or not creative and vice versa.
Everyone who is strong is not old.
Everyone who is both generous and not funny is not crea... | Lucy is not rich. | contradiction | ((?[X]:((quiet(X)&~old(X))))=>(?[X]:((tall(X)|~quiet(X)))))&
(((happy(fred)&~rich(fred)))<=>(?[X]:(generous(X))))&
(![X]:((rich(X)|~quiet(X))<=>(happy(X)<~>~creative(X))))&
(![X]:(strong(X)=>~old(X)))&
(![X]:((generous(X)&~funny(X))<=>~creative(X)))&
((?[X]:(funny(X)))=>((~happy(susan)<~>rich(susan))))&
((?[X]:((~happy... | ~rich(lucy) | [
"p2",
"p4",
"p8",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2140320717382990083594899
% SZS output start Proof for 2140320717382990083594899
3. ! [X0] : ((~quiet(X0) | rich(X0)) <=> (happy(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((~funny(X0) & generous(X0)) <=> ~creative(X0)) [input p4]
9. ! [X0] : ((wise(X0) <~> happy(X0)) <=> (wise(X0) <~... | 0 |
Everyone who is either not humble or brave is funny or quiet. Everyone who is either not creative or wise is both curious and not kind and vice versa. If someone is tall or curious then john is generous or not calm. Everyone who is either brave or not calm is either curious or strong. Everyone who is happy or tall is e... | Paul is happy. | neutral | (![X]:((~humble(X)<~>brave(X))=>(funny(X)|quiet(X))))&
(![X]:((~creative(X)<~>wise(X))<=>(curious(X)&~kind(X))))&
((?[X]:((tall(X)|curious(X))))=>((generous(john)|~calm(john))))&
(![X]:((brave(X)<~>~calm(X))=>(curious(X)<~>strong(X))))&
(![X]:((happy(X)|tall(X))<=>(creative(X)<~>~brave(X))))&
(((rich(susan)|curious(sus... | happy(paul) | [] | null | 0 |
If john is not happy or patient then lucy is humble or not patient and vice versa.
Everyone who is either not kind or not humble is both generous and rich.
If someone is either happy or calm then someone is both funny and old.
Everyone who is rich or humble is both happy and not strong.
If someone is old or generous th... | Susan is not generous. | neutral | (((~happy(john)|patient(john)))<=>((humble(lucy)|~patient(lucy))))&
(![X]:((~kind(X)<~>~humble(X))=>(generous(X)&rich(X))))&
((?[X]:((happy(X)<~>calm(X))))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((rich(X)|humble(X))=>(happy(X)&~strong(X))))&
((?[X]:((old(X)|generous(X))))<=>(generous(lucy)))&
(![X]:((brave(X)&creative(X))... | ~generous(susan) | [] | null | 0 |
If someone is both not generous and not rich then someone is either not generous or not kind and vice versa.
If lucy is not funny or not tall then john is both calm and not happy and vice versa.
If someone is both humble and not wise then lucy is both rich and not calm.
Everyone who is both not tall and happy is not qu... | Lucy is kind. | entailment | ((?[X]:((~generous(X)&~rich(X))))<=>(?[X]:((~generous(X)<~>~kind(X)))))&
(((~funny(lucy)|~tall(lucy)))<=>((calm(john)&~happy(john))))&
((?[X]:((humble(X)&~wise(X))))=>((rich(lucy)&~calm(lucy))))&
(![X]:((~tall(X)&happy(X))<=>~quiet(X)))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X... | kind(lucy) | [
"p2",
"p6",
"p13",
"p14",
"p15",
"p18",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3318829867514688258447232
% SZS output start Proof for 3318829867514688258447232
3. ? [X0] : (~wise(X0) & humble(X0)) => (~calm(lucy) & rich(lucy)) [input p2]
7. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~patient(X0) & humble(X0))) [input p6]
14. ! [X0] : ((curious(X0) & ~brave(X0)) <=>... | 0 |
Everyone who is both calm and rich is not strong or not calm and vice versa.
Everyone who is not creative or not humble is old.
If someone is both calm and not patient then john is creative.
Everyone who is humble is either not creative or funny.
Everyone who is not tall or funny is either calm or not happy.
Everyone w... | Lucy is not rich. | contradiction | (![X]:((calm(X)&rich(X))<=>(~strong(X)|~calm(X))))&
(![X]:((~creative(X)|~humble(X))=>old(X)))&
((?[X]:((calm(X)&~patient(X))))=>(creative(john)))&
(![X]:(humble(X)=>(~creative(X)<~>funny(X))))&
(![X]:((~tall(X)|funny(X))=>(calm(X)<~>~happy(X))))&
(![X]:((creative(X)&brave(X))<=>(creative(X)&~kind(X))))&
((?[X]:((happy... | ~rich(lucy) | [
"p0",
"p7",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6184855422978805825980353
% SZS output start Proof for 6184855422978805825980353
1. ! [X0] : ((rich(X0) & calm(X0)) <=> (~calm(X0) | ~strong(X0))) [input p0]
8. ! [X0] : (calm(X0) <=> (patient(X0) & old(X0))) [input p7]
10. ! [X0] : ((brave(X0) & kind(X0)) => (~tall(X0) & ~patient(X0))) [... | 0 |
Everyone who is generous or kind is not old. If someone is both not curious and not humble then susan is curious and vice versa. Everyone who is either funny or not rich is not wise and vice versa. Everyone who is both not rich and not tall is not creative or brave and vice versa. Everyone who is either rich or quiet i... | John is not patient. | neutral | (![X]:((generous(X)|kind(X))=>~old(X)))&
((?[X]:((~curious(X)&~humble(X))))<=>(curious(susan)))&
(![X]:((funny(X)<~>~rich(X))<=>~wise(X)))&
(![X]:((~rich(X)&~tall(X))<=>(~creative(X)|brave(X))))&
(![X]:((rich(X)<~>quiet(X))=>(strong(X)&~old(X))))&
((?[X]:((~creative(X)|rich(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
(... | ~patient(john) | [] | null | 0 |
Everyone who is either tall or not humble is either creative or not happy and vice versa. Everyone who is either happy or not kind is brave. If paul is old then someone is either humble or kind. If someone is both not brave and not creative then mary is either patient or happy. If fred is strong then paul is both not r... | Mary is not wise. | neutral | (![X]:((tall(X)<~>~humble(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((happy(X)<~>~kind(X))=>brave(X)))&
((old(paul))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:((~brave(X)&~creative(X))))=>((patient(mary)<~>happy(mary))))&
((strong(fred))=>((~rich(paul)&~wise(paul))))&
(![X]:((tall(X)|old(X))<=>funny(X)))&
(![X]:((calm(X)... | ~wise(mary) | [] | null | 0 |
Everyone who is either not curious or not calm is either happy or not funny and vice versa.
Everyone who is both not strong and not brave is either creative or not curious.
Everyone who is both not humble and patient is both creative and funny and vice versa.
Everyone who is rich or happy is not wise and vice versa.
Ev... | Mary is patient. | entailment | (![X]:((~curious(X)<~>~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((~strong(X)&~brave(X))=>(creative(X)<~>~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(creative(X)&funny(X))))&
(![X]:((rich(X)|happy(X))<=>~wise(X)))&
(![X]:((~funny(X)|old(X))<=>(~wise(X)&strong(X))))&
(![X]:((humble(X)|~humble(X))<=>creative(X)))&
... | patient(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2231128872058134065745542
% SZS output start Proof for 2231128872058134065745542
11. ! [X0] : (patient(X0) <=> (generous(X0) <~> ~generous(X0))) [input p10]
23. ~patient(mary) [input hypothesis]
53. ! [X0] : ((patient(X0) | ((generous(X0) | generous(X0)) & (~generous(X0) | ~generous(X0)))... | 0 |
If someone is either old or humble then someone is not generous and vice versa.
Everyone who is both not calm and patient is not curious or not brave.
Everyone who is not humble is old.
Everyone who is not calm or quiet is either not brave or not creative and vice versa.
Everyone who is funny or curious is either stron... | Lucy is wise. | entailment | ((?[X]:((old(X)<~>humble(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~calm(X)&patient(X))=>(~curious(X)|~brave(X))))&
(![X]:(~humble(X)=>old(X)))&
(![X]:((~calm(X)|quiet(X))<=>(~brave(X)<~>~creative(X))))&
(![X]:((funny(X)|curious(X))=>(strong(X)<~>curious(X))))&
(((happy(john)<~>curious(john)))=>(?[X]:((~tall(X)&generous(... | wise(lucy) | [
"p2",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6987231599037029104933165
% SZS output start Proof for 6987231599037029104933165
3. ! [X0] : (~humble(X0) => old(X0)) [input p2]
9. humble(fred) => ~quiet(lucy) [input p8]
10. ! [X0] : ((~brave(X0) | old(X0)) => (~funny(X0) & humble(X0))) [input p9]
15. ! [X0] : ((~wise(X0) <~> quiet(X0))... | 0 |
Everyone who is both wise and kind is rich and vice versa. Everyone who is both not rich and not quiet is not tall or patient. If someone is both not kind and generous then mary is both not happy and not generous and vice versa. If lucy is not generous then mary is calm and vice versa. Everyone who is funny is rich or ... | Mary is not strong. | contradiction | (![X]:((wise(X)&kind(X))<=>rich(X)))&
(![X]:((~rich(X)&~quiet(X))=>(~tall(X)|patient(X))))&
((?[X]:((~kind(X)&generous(X))))<=>((~happy(mary)&~generous(mary))))&
((~generous(lucy))<=>(calm(mary)))&
(![X]:(funny(X)<=>(rich(X)|~calm(X))))&
(((~rich(mary)|~strong(mary)))=>((~wise(alice)&brave(alice))))&
(![X]:((~kind(X)|~... | ~strong(mary) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1256201592862091104151939
% SZS output start Proof for 1256201592862091104151939
1. ! [X0] : ((kind(X0) & wise(X0)) <=> rich(X0)) [input p0]
5. ! [X0] : (funny(X0) <=> (~calm(X0) | rich(X0))) [input p4]
6. (~strong(mary) | ~rich(mary)) => (brave(alice) & ~wise(alice)) [input p5]
9. ! [X0]... | 0 |
If john is both calm and curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either wis... | Lucy is wise. | entailment | (((calm(john)&curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(X... | wise(lucy) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6991181277338676824650580
% SZS output start Proof for 6991181277338676824650580
6. ! [X0] : ((creative(X0) | ~wise(X0)) => (~rich(X0) & ~happy(X0))) [input p5]
19. generous(lucy) & rich(lucy) [input p18]
25. ~wise(lucy) [input hypothesis]
32. ! [X0] : ((~rich(X0) & ~happy(X0)) | (~creati... | 0 |
Everyone who is curious is both creative and not funny and vice versa.
If mary is either wise or not tall then someone is old and vice versa.
Everyone who is not tall is either rich or not calm and vice versa.
If someone is either humble or quiet then someone is not humble.
If mary is tall then someone is not creative ... | Susan is happy. | neutral | (![X]:(curious(X)<=>(creative(X)&~funny(X))))&
(((wise(mary)<~>~tall(mary)))<=>(?[X]:(old(X))))&
(![X]:(~tall(X)<=>(rich(X)<~>~calm(X))))&
((?[X]:((humble(X)<~>quiet(X))))=>(?[X]:(~humble(X))))&
((tall(mary))<=>(?[X]:(~creative(X))))&
(![X]:(~curious(X)<=>(~generous(X)|calm(X))))&
(![X]:(generous(X)<=>(old(X)|~curious(... | happy(susan) | [] | null | 0 |
Everyone who is both funny and not curious is both not strong and wise and vice versa. If someone is not kind then mary is both quiet and generous. If someone is kind or not kind then someone is either not funny or not generous and vice versa. Everyone who is not kind is not calm or rich. Everyone who is not strong or ... | Mary is rich. | neutral | (![X]:((funny(X)&~curious(X))<=>(~strong(X)&wise(X))))&
((?[X]:(~kind(X)))=>((quiet(mary)&generous(mary))))&
((?[X]:((kind(X)|~kind(X))))<=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:(~kind(X)=>(~calm(X)|rich(X))))&
(![X]:((~strong(X)|~rich(X))<=>~curious(X)))&
((~creative(susan))<=>(?[X]:((~happy(X)|kind(X)))))&
(((s... | rich(mary) | [] | null | 0 |
Everyone who is both not old and not tall is kind or creative and vice versa.
Everyone who is either patient or not curious is brave and vice versa.
If susan is both rich and not funny then fred is patient.
If susan is either rich or not patient then someone is either kind or brave and vice versa.
If someone is happy t... | Susan is not generous. | neutral | (![X]:((~old(X)&~tall(X))<=>(kind(X)|creative(X))))&
(![X]:((patient(X)<~>~curious(X))<=>brave(X)))&
(((rich(susan)&~funny(susan)))=>(patient(fred)))&
(((rich(susan)<~>~patient(susan)))<=>(?[X]:((kind(X)<~>brave(X)))))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)&~old(X)))))&
((~generous(alice))<=>((~quiet(lucy)<~>~funny(luc... | ~generous(susan) | [] | null | 0 |
Everyone who is rich is patient and vice versa. If susan is patient then someone is generous or not patient and vice versa. Everyone who is either not strong or brave is brave and vice versa. If susan is either wise or humble then mary is both strong and brave. Everyone who is humble is either tall or brave. Everyone w... | Alice is tall. | neutral | (![X]:(rich(X)<=>patient(X)))&
((patient(susan))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~strong(X)<~>brave(X))<=>brave(X)))&
(((wise(susan)<~>humble(susan)))=>((strong(mary)&brave(mary))))&
(![X]:(humble(X)=>(tall(X)<~>brave(X))))&
(![X]:((~quiet(X)|creative(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((creative(X)&pat... | tall(alice) | [] | null | 0 |
Everyone who is patient is happy or curious and vice versa.
Everyone who is humble is both not strong and not wise.
Everyone who is not funny is both calm and patient.
Everyone who is quiet is not kind or not tall and vice versa.
Everyone who is not kind is both funny and patient.
If lucy is not quiet then someone is n... | Alice is not strong. | neutral | (![X]:(patient(X)<=>(happy(X)|curious(X))))&
(![X]:(humble(X)=>(~strong(X)&~wise(X))))&
(![X]:(~funny(X)=>(calm(X)&patient(X))))&
(![X]:(quiet(X)<=>(~kind(X)|~tall(X))))&
(![X]:(~kind(X)=>(funny(X)&patient(X))))&
((~quiet(lucy))<=>(?[X]:(~tall(X))))&
(![X]:((~tall(X)&humble(X))<=>(~calm(X)|~kind(X))))&
(((old(john)&~br... | ~strong(alice) | [] | null | 0 |
If someone is either not humble or generous then john is not creative and vice versa.
Everyone who is generous or not quiet is either not strong or not funny.
If someone is both not creative and wise then john is quiet and vice versa.
Everyone who is not rich is not calm or not wise.
Everyone who is both generous and n... | John is not quiet. | contradiction | ((?[X]:((~humble(X)<~>generous(X))))<=>(~creative(john)))&
(![X]:((generous(X)|~quiet(X))=>(~strong(X)<~>~funny(X))))&
((?[X]:((~creative(X)&wise(X))))<=>(quiet(john)))&
(![X]:(~rich(X)=>(~calm(X)|~wise(X))))&
(![X]:((generous(X)&~patient(X))<=>patient(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>((~patient(john)&creative(... | ~quiet(john) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2661066028444521878364454
% SZS output start Proof for 2661066028444521878364454
1. ? [X0] : (~humble(X0) <~> generous(X0)) <=> ~creative(john) [input p0]
3. ? [X0] : (wise(X0) & ~creative(X0)) <=> quiet(john) [input p2]
5. ! [X0] : ((~patient(X0) & generous(X0)) <=> patient(X0)) [input p... | 0 |
Everyone who is both rich and funny is not humble or brave.
If mary is happy or not tall then mary is both creative and not humble.
Everyone who is not rich or not humble is both not creative and not curious and vice versa.
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or n... | Paul is not wise. | contradiction | (![X]:((rich(X)&funny(X))=>(~humble(X)|brave(X))))&
(((happy(mary)|~tall(mary)))=>((creative(mary)&~humble(mary))))&
(![X]:((~rich(X)|~humble(X))<=>(~creative(X)&~curious(X))))&
(![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:... | ~wise(paul) | [
"p0",
"p2",
"p3",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5263147016771129480272569
% SZS output start Proof for 5263147016771129480272569
1. ! [X0] : ((funny(X0) & rich(X0)) => (brave(X0) | ~humble(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (~curious(X0) & ~creative(X0))) [input p2]
4. ! [X0] : (creative(X0) <=> (~generous(X0) ... | 0 |
Everyone who is either calm or humble is not calm or not generous.
Everyone who is kind or tall is not creative or not calm.
If mary is not wise or not creative then someone is not rich.
Everyone who is both not wise and not rich is funny and vice versa.
Everyone who is either generous or not old is both not humble and... | Paul is not strong. | contradiction | (![X]:((calm(X)<~>humble(X))=>(~calm(X)|~generous(X))))&
(![X]:((kind(X)|tall(X))=>(~creative(X)|~calm(X))))&
(((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wis... | ~strong(paul) | [
"p4",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5327241041057640134559678
% SZS output start Proof for 5327241041057640134559678
5. ! [X0] : ((generous(X0) <~> ~old(X0)) => (old(X0) & ~humble(X0))) [input p4]
9. ! [X0] : ((old(X0) <~> ~curious(X0)) => strong(X0)) [input p8]
11. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (curious(X0) & ~tal... | 0 |
If mary is old or generous then someone is tall and vice versa.
Everyone who is quiet or kind is brave and vice versa.
If paul is both humble and not strong then someone is old or kind and vice versa.
Everyone who is humble is either humble or not wise.
Everyone who is either not wise or quiet is not kind.
If susan is ... | Alice is not old. | entailment | (((old(mary)|generous(mary)))<=>(?[X]:(tall(X))))&
(![X]:((quiet(X)|kind(X))<=>brave(X)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:(humble(X)=>(humble(X)<~>~wise(X))))&
(![X]:((~wise(X)<~>quiet(X))=>~kind(X)))&
(((tall(susan)<~>wise(susan)))=>((quiet(paul)&old(paul))))&
(![X]:((rich(X)&old(X... | ~old(alice) | [
"p1",
"p3",
"p4",
"p6",
"p10",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 507547810982680796253881
% SZS output start Proof for 507547810982680796253881
2. ! [X0] : ((kind(X0) | quiet(X0)) <=> brave(X0)) [input p1]
4. ! [X0] : (humble(X0) => (humble(X0) <~> ~wise(X0))) [input p3]
5. ! [X0] : ((~wise(X0) <~> quiet(X0)) => ~kind(X0)) [input p4]
7. ! [X0] : ((old(... | 0 |
If susan is not happy then someone is not quiet or old and vice versa.
Everyone who is humble is either not curious or rich and vice versa.
Everyone who is both kind and not funny is brave.
If paul is calm or not creative then mary is quiet or funny.
If fred is both curious and not wise then alice is not quiet.
If some... | Fred is rich. | contradiction | ((~happy(susan))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:(humble(X)<=>(~curious(X)<~>rich(X))))&
(![X]:((kind(X)&~funny(X))=>brave(X)))&
(((calm(paul)|~creative(paul)))=>((quiet(mary)|funny(mary))))&
(((curious(fred)&~wise(fred)))=>(~quiet(alice)))&
((?[X]:(generous(X)))<=>((old(mary)&~wise(mary))))&
((?[X]:((old(X)&kind... | rich(fred) | [
"p7",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6896346605545822421557371
% SZS output start Proof for 6896346605545822421557371
8. ! [X0] : (~quiet(X0) <=> ~calm(X0)) [input p7]
9. ? [X0] : (rich(X0) | creative(X0)) <=> patient(john) [input p8]
12. ! [X0] : ((~strong(X0) | generous(X0)) <=> (~funny(X0) & calm(X0))) [input p11]
14. ? [... | 0 |
If someone is not wise then alice is either not calm or not generous.
Everyone who is both humble and brave is either kind or not curious and vice versa.
If someone is not kind or not generous then someone is both not tall and strong and vice versa.
Everyone who is both not happy and tall is not patient.
If someone is ... | Lucy is calm. | entailment | ((?[X]:(~wise(X)))=>((~calm(alice)<~>~generous(alice))))&
(![X]:((humble(X)&brave(X))<=>(kind(X)<~>~curious(X))))&
((?[X]:((~kind(X)|~generous(X))))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~happy(X)&tall(X))=>~patient(X)))&
((?[X]:((~patient(X)<~>wise(X))))<=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:((~tall(X)&~calm(X))... | calm(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3087369537910492025497860
% SZS output start Proof for 3087369537910492025497860
6. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> tall(X0)) [input p5]
24. ~calm(lucy) [input hypothesis]
48. ! [X0] : (((~calm(X0) & ~tall(X0)) | ~tall(X0)) & (tall(X0) | (calm(X0) | tall(X0)))) [nnf transformation 6... | 0 |
Everyone who is funny is quiet and vice versa.
Everyone who is funny is both humble and tall and vice versa.
Everyone who is either not happy or not creative is both rich and not generous and vice versa.
If someone is either rich or brave then someone is not tall or not kind and vice versa.
If someone is strong or crea... | Alice is creative. | contradiction | (![X]:(funny(X)<=>quiet(X)))&
(![X]:(funny(X)<=>(humble(X)&tall(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>(rich(X)&~generous(X))))&
((?[X]:((rich(X)<~>brave(X))))<=>(?[X]:((~tall(X)|~kind(X)))))&
((?[X]:((strong(X)|creative(X))))<=>((~quiet(paul)&~strong(paul))))&
(![X]:((kind(X)&~happy(X))<=>(~calm(X)&~old(X))))&
(![... | creative(alice) | [
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4637009207982886934317337
% SZS output start Proof for 4637009207982886934317337
11. ! [X0] : (~calm(X0) <=> ~wise(X0)) [input p10]
12. ! [X0] : ((humble(X0) | kind(X0)) <=> (humble(X0) | ~calm(X0))) [input p11]
14. ! [X0] : ((~humble(X0) | kind(X0)) <=> (~wise(X0) & tall(X0))) [input p13... | 0 |
Everyone who is tall is either wise or not happy and vice versa.
If someone is either not curious or not calm then lucy is both not kind and not old.
Everyone who is both not curious and creative is not funny or patient and vice versa.
Everyone who is tall or not strong is either patient or not old and vice versa.
If s... | Susan is not strong. | contradiction | (![X]:(tall(X)<=>(wise(X)<~>~happy(X))))&
((?[X]:((~curious(X)<~>~calm(X))))=>((~kind(lucy)&~old(lucy))))&
(![X]:((~curious(X)&creative(X))<=>(~funny(X)|patient(X))))&
(![X]:((tall(X)|~strong(X))<=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X)... | ~strong(susan) | [
"p2",
"p3",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7202817165772566746354723
% SZS output start Proof for 7202817165772566746354723
3. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (patient(X0) <~> ~old(X0))) [input p3]
9. ? [X0] : funny(X0) <=> (~creative(susa... | 0 |
If someone is not happy or not wise then paul is either wise or not kind and vice versa.
Everyone who is both calm and generous is either humble or not generous and vice versa.
If lucy is not quiet or not calm then paul is not kind.
Everyone who is both humble and not kind is either creative or kind.
Everyone who is ei... | Fred is old. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((wise(paul)<~>~kind(paul))))&
(![X]:((calm(X)&generous(X))<=>(humble(X)<~>~generous(X))))&
(((~quiet(lucy)|~calm(lucy)))=>(~kind(paul)))&
(![X]:((humble(X)&~kind(X))=>(creative(X)<~>kind(X))))&
(![X]:((strong(X)<~>tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~wise(X)<=>(~happy(X)<~>cre... | old(fred) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8507116108881488104930799
% SZS output start Proof for 8507116108881488104930799
2. ! [X0] : ((generous(X0) & calm(X0)) <=> (humble(X0) <~> ~generous(X0))) [input p1]
4. ! [X0] : ((~kind(X0) & humble(X0)) => (creative(X0) <~> kind(X0))) [input p3]
7. (~generous(lucy) | generous(lucy)) <=>... | 0 |
Everyone who is not humble is not wise or old and vice versa.
If someone is either rich or not patient then someone is rich or not creative and vice versa.
Everyone who is either not brave or calm is both not strong and not quiet and vice versa.
Everyone who is wise is generous or not brave and vice versa.
Everyone who... | Paul is not wise. | contradiction | (![X]:(~humble(X)<=>(~wise(X)|old(X))))&
((?[X]:((rich(X)<~>~patient(X))))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~brave(X)<~>calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:(wise(X)<=>(generous(X)|~brave(X))))&
(![X]:(~happy(X)=>(brave(X)&~funny(X))))&
(![X]:(kind(X)=>~humble(X)))&
(![X]:(~strong(X)<=>tall(X)))&
(![X]... | ~wise(paul) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 221981941160646386309300
% SZS output start Proof for 221981941160646386309300
4. ! [X0] : (wise(X0) <=> (~brave(X0) | generous(X0))) [input p3]
8. ! [X0] : (brave(X0) => (brave(X0) <~> ~generous(X0))) [input p7]
24. ~wise(paul) [input hypothesis]
34. ! [X0] : ((brave(X0) <~> ~generous(X0... | 0 |
If alice is not calm then fred is not funny.
Everyone who is either not happy or generous is not curious or tall and vice versa.
Everyone who is not kind or strong is tall.
If someone is both old and generous then john is tall or creative.
Everyone who is either not old or humble is both tall and kind and vice versa.
E... | John is not kind. | contradiction | ((~calm(alice))=>(~funny(fred)))&
(![X]:((~happy(X)<~>generous(X))<=>(~curious(X)|tall(X))))&
(![X]:((~kind(X)|strong(X))=>tall(X)))&
((?[X]:((old(X)&generous(X))))=>((tall(john)|creative(john))))&
(![X]:((~old(X)<~>humble(X))<=>(tall(X)&kind(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~happy(X)<~>~patient(X))))&
((?[X]:(... | ~kind(john) | [
"p1",
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4132762957320637784917015
% SZS output start Proof for 4132762957320637784917015
2. ! [X0] : ((~happy(X0) <~> generous(X0)) <=> (tall(X0) | ~curious(X0))) [input p1]
3. ! [X0] : ((strong(X0) | ~kind(X0)) => tall(X0)) [input p2]
6. ! [X0] : ((kind(X0) <~> generous(X0)) <=> (~happy(X0) <~> ... | 0 |
Everyone who is either not wise or old is both brave and strong.
Everyone who is both not old and humble is kind or not rich and vice versa.
Everyone who is not wise is not brave and vice versa.
Everyone who is both wise and not old is both not quiet and not tall and vice versa.
Everyone who is not calm is not patient ... | Fred is not tall. | contradiction | (![X]:((~wise(X)<~>old(X))=>(brave(X)&strong(X))))&
(![X]:((~old(X)&humble(X))<=>(kind(X)|~rich(X))))&
(![X]:(~wise(X)<=>~brave(X)))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&~tall(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(![X]:(generous(X)=>(~patient(X)&~tall(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~humble(X))))&
(![X]:((~curi... | ~tall(fred) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2896438936799118022618459
% SZS output start Proof for 2896438936799118022618459
3. ! [X0] : (~wise(X0) <=> ~brave(X0)) [input p2]
4. ! [X0] : ((~old(X0) & wise(X0)) <=> (~tall(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> ~patient(X0)) [input p4]
6. ! [X0] : (generous(X0) => (... | 0 |
Everyone who is brave or tall is creative or not old.
If someone is both old and not humble then someone is either not tall or not humble and vice versa.
If susan is calm then someone is either not brave or rich and vice versa.
Everyone who is patient or not quiet is both rich and funny and vice versa.
Everyone who is ... | Alice is curious. | contradiction | (![X]:((brave(X)|tall(X))=>(creative(X)|~old(X))))&
((?[X]:((old(X)&~humble(X))))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
((calm(susan))<=>(?[X]:((~brave(X)<~>rich(X)))))&
(![X]:((patient(X)|~quiet(X))<=>(rich(X)&funny(X))))&
(![X]:(humble(X)<=>~happy(X)))&
(![X]:((calm(X)&~strong(X))<=>~calm(X)))&
(![X]:((old(X)|~generou... | curious(alice) | [
"p3",
"p5",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8379132808214841111893290
% SZS output start Proof for 8379132808214841111893290
4. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (funny(X0) & rich(X0))) [input p3]
6. ! [X0] : ((~strong(X0) & calm(X0)) <=> ~calm(X0)) [input p5]
9. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (rich(X0) <~> curious(... | 0 |
Everyone who is not curious or not tall is both not brave and not happy.
Everyone who is not happy is both brave and not humble and vice versa.
Everyone who is not rich or humble is kind or generous and vice versa.
Everyone who is brave or not old is both not wise and curious.
If someone is not patient or not wise then... | Paul is not patient. | neutral | (![X]:((~curious(X)|~tall(X))=>(~brave(X)&~happy(X))))&
(![X]:(~happy(X)<=>(brave(X)&~humble(X))))&
(![X]:((~rich(X)|humble(X))<=>(kind(X)|generous(X))))&
(![X]:((brave(X)|~old(X))=>(~wise(X)&curious(X))))&
((?[X]:((~patient(X)|~wise(X))))<=>(wise(lucy)))&
(![X]:((~creative(X)&patient(X))=>(~humble(X)&happy(X))))&
((?[... | ~patient(paul) | [] | null | 0 |
If someone is both humble and funny then someone is not rich.
Everyone who is both happy and rich is both not patient and funny.
If someone is rich then someone is wise or not quiet and vice versa.
If someone is tall then someone is both not strong and kind and vice versa.
If alice is brave or funny then someone is bot... | Susan is not humble. | contradiction | ((?[X]:((humble(X)&funny(X))))=>(?[X]:(~rich(X))))&
(![X]:((happy(X)&rich(X))=>(~patient(X)&funny(X))))&
((?[X]:(rich(X)))<=>(?[X]:((wise(X)|~quiet(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((~strong(X)&kind(X)))))&
(((brave(alice)|funny(alice)))<=>(?[X]:((happy(X)&~tall(X)))))&
(![X]:((~happy(X)&quiet(X))<=>(~brave(X)|~calm(X... | ~humble(susan) | [
"p6",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6753383132298674909981317
% SZS output start Proof for 6753383132298674909981317
7. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (~old(X0) | ~happy(X0))) [input p6]
11. ? [X0] : (generous(X0) | ~curious(X0)) => (wise(susan) & tall(susan)) [input p10]
16. ! [X0] : ((~happy(X0) & ~wise(X0)) <=>... | 0 |
If john is kind then john is both not quiet and strong and vice versa. Everyone who is not humble is both not strong and happy and vice versa. If someone is both calm and old then paul is not generous. Everyone who is both not quiet and wise is both not old and curious. Everyone who is either not curious or not tall is... | John is strong. | contradiction | ((kind(john))<=>((~quiet(john)&strong(john))))&
(![X]:(~humble(X)<=>(~strong(X)&happy(X))))&
((?[X]:((calm(X)&old(X))))=>(~generous(paul)))&
(![X]:((~quiet(X)&wise(X))=>(~old(X)&curious(X))))&
(![X]:((~curious(X)<~>~tall(X))=>(quiet(X)&~humble(X))))&
((?[X]:((~calm(X)<~>rich(X))))=>((~tall(alice)&patient(alice))))&
(![... | strong(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3989442569434864607943334
% SZS output start Proof for 3989442569434864607943334
20. ~strong(john) & creative(john) [input p19]
25. strong(john) [input hypothesis]
122. ~strong(john) [cnf transformation 20]
130. strong(john) [cnf transformation 25]
136. 2 <=> strong(john) [avatar definiti... | 0 |
If someone is curious then someone is either not generous or not patient.
If someone is either old or not wise then paul is either not creative or happy.
Everyone who is not humble is not curious or old and vice versa.
If fred is not humble or not funny then paul is both patient and not rich and vice versa.
If someone ... | John is not kind. | neutral | ((?[X]:(curious(X)))=>(?[X]:((~generous(X)<~>~patient(X)))))&
((?[X]:((old(X)<~>~wise(X))))=>((~creative(paul)<~>happy(paul))))&
(![X]:(~humble(X)<=>(~curious(X)|old(X))))&
(((~humble(fred)|~funny(fred)))<=>((patient(paul)&~rich(paul))))&
((?[X]:((wise(X)&curious(X))))=>(?[X]:((rich(X)|~happy(X)))))&
((?[X]:((~rich(X)<... | ~kind(john) | [] | null | 0 |
Everyone who is not brave is old. Everyone who is not calm is both funny and not patient. If someone is not curious or generous then lucy is either curious or kind. Everyone who is either calm or not funny is not kind or not brave and vice versa. Everyone who is humble or not creative is either patient or happy. If joh... | Susan is not happy. | entailment | (![X]:(~brave(X)=>old(X)))&
(![X]:(~calm(X)=>(funny(X)&~patient(X))))&
((?[X]:((~curious(X)|generous(X))))=>((curious(lucy)<~>kind(lucy))))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happy(X))))&
(((~humble(john)|strong(john)))=>(?[X]:(~happy(X))))&
((?[X]:((~... | ~happy(susan) | [
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1623340342699188980484849
% SZS output start Proof for 1623340342699188980484849
9. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (happy(X0) <~> ~kind(X0))) [input p8]
11. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(X0))) [input p10]
12. ! [X0] : (kind(X0) <=> humble(X0)) [input ... | 0 |
If someone is not curious or quiet then mary is not quiet. If someone is patient or wise then someone is funny or not happy and vice versa. If lucy is not creative or funny then someone is not wise. Everyone who is either not funny or patient is not quiet or not curious and vice versa. Everyone who is not humble is not... | Mary is not brave. | entailment | ((?[X]:((~curious(X)|quiet(X))))=>(~quiet(mary)))&
((?[X]:((patient(X)|wise(X))))<=>(?[X]:((funny(X)|~happy(X)))))&
(((~creative(lucy)|funny(lucy)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(~quiet(X)|~curious(X))))&
(![X]:(~humble(X)<=>(~tall(X)|~brave(X))))&
(((funny(mary)&tall(mary)))<=>(?[X]:(~tall(X)... | ~brave(mary) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8537732824731818661654620
% SZS output start Proof for 8537732824731818661654620
5. ! [X0] : (~humble(X0) <=> (~brave(X0) | ~tall(X0))) [input p4]
6. (tall(mary) & funny(mary)) <=> ? [X0] : ~tall(X0) [input p5]
9. ! [X0] : ((humble(X0) <~> ~tall(X0)) => (brave(X0) <~> tall(X0))) [input p8... | 0 |
If susan is generous or not funny then lucy is funny.
Everyone who is not quiet is both not funny and humble and vice versa.
If lucy is happy then john is either rich or happy.
If someone is rich or wise then lucy is not brave.
Everyone who is either not calm or not wise is both quiet and funny.
If someone is both not ... | Susan is calm. | entailment | (((generous(susan)|~funny(susan)))=>(funny(lucy)))&
(![X]:(~quiet(X)<=>(~funny(X)&humble(X))))&
((happy(lucy))=>((rich(john)<~>happy(john))))&
((?[X]:((rich(X)|wise(X))))=>(~brave(lucy)))&
(![X]:((~calm(X)<~>~wise(X))=>(quiet(X)&funny(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(humble(mary)))&
(![X]:((~brave(X)<~>old(X))... | calm(susan) | [
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4486472297330440794414244
% SZS output start Proof for 4486472297330440794414244
7. ! [X0] : ((~brave(X0) <~> old(X0)) <=> (happy(X0) & ~happy(X0))) [input p6]
12. ! [X0] : ((~old(X0) & ~strong(X0)) <=> (~old(X0) <~> ~calm(X0))) [input p11]
17. ~brave(susan) [input p16]
24. ~calm(susan) [... | 0 |
Everyone who is both not kind and old is not kind.
Everyone who is either funny or old is not wise or not calm.
If susan is both not wise and quiet then someone is humble or quiet.
Everyone who is either curious or not kind is both not calm and old and vice versa.
If john is not creative then susan is both not brave an... | Lucy is kind. | neutral | (![X]:((~kind(X)&old(X))=>~kind(X)))&
(![X]:((funny(X)<~>old(X))=>(~wise(X)|~calm(X))))&
(((~wise(susan)&quiet(susan)))=>(?[X]:((humble(X)|quiet(X)))))&
(![X]:((curious(X)<~>~kind(X))<=>(~calm(X)&old(X))))&
((~creative(john))<=>((~brave(susan)&~curious(susan))))&
(((quiet(susan)|creative(susan)))=>(?[X]:(strong(X))))&
... | kind(lucy) | [] | null | 0 |
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