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 calm and not wise is either not calm or kind. If susan is either not old or not strong then someone is either tall or not wise and vice versa. If mary is both not quiet and old then someone is both happy and kind and vice versa. If someone is not happy or not rich then someone is not tall. Ever... | Susan is not quiet. | contradiction | (![X]:((~calm(X)&~wise(X))=>(~calm(X)<~>kind(X))))&
(((~old(susan)<~>~strong(susan)))<=>(?[X]:((tall(X)<~>~wise(X)))))&
(((~quiet(mary)&old(mary)))<=>(?[X]:((happy(X)&kind(X)))))&
((?[X]:((~happy(X)|~rich(X))))=>(?[X]:(~tall(X))))&
(![X]:((~quiet(X)|creative(X))=>(~generous(X)|brave(X))))&
(((~curious(susan)&wise(susan... | ~quiet(susan) | [
"p2",
"p4",
"p9",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 855803367539690175565730
% SZS output start Proof for 855803367539690175565730
3. (old(mary) & ~quiet(mary)) <=> ? [X0] : (kind(X0) & happy(X0)) [input p2]
5. ! [X0] : ((creative(X0) | ~quiet(X0)) => (brave(X0) | ~generous(X0))) [input p4]
10. ? [X0] : (~calm(X0) & ~generous(X0)) <=> (hap... | 0 |
Everyone who is both not wise and calm is not generous or patient.
If someone is both not generous and happy then someone is both not brave and quiet.
Everyone who is either tall or not strong is not strong or generous and vice versa.
Everyone who is curious is patient or not strong and vice versa.
If fred is not patie... | Fred is patient. | contradiction | (![X]:((~wise(X)&calm(X))=>(~generous(X)|patient(X))))&
((?[X]:((~generous(X)&happy(X))))=>(?[X]:((~brave(X)&quiet(X)))))&
(![X]:((tall(X)<~>~strong(X))<=>(~strong(X)|generous(X))))&
(![X]:(curious(X)<=>(patient(X)|~strong(X))))&
((~patient(fred))<=>((quiet(susan)|patient(susan))))&
(![X]:((curious(X)|humble(X))<=>(~cu... | patient(fred) | [
"p3",
"p4",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 921652268995388333194256
% SZS output start Proof for 921652268995388333194256
4. ! [X0] : (curious(X0) <=> (~strong(X0) | patient(X0))) [input p3]
5. ~patient(fred) <=> (patient(susan) | quiet(susan)) [input p4]
11. ! [X0] : ((patient(X0) & ~generous(X0)) <=> (~kind(X0) <~> ~curious(X0))... | 0 |
If alice is not generous or not creative then someone is both not old and tall and vice versa.
If susan is either old or not curious then mary is both not humble and funny and vice versa.
Everyone who is either not wise or curious is both curious and not creative.
If lucy is not funny then someone is quiet.
Everyone wh... | Susan is not curious. | neutral | (((~generous(alice)|~creative(alice)))<=>(?[X]:((~old(X)&tall(X)))))&
(((old(susan)<~>~curious(susan)))<=>((~humble(mary)&funny(mary))))&
(![X]:((~wise(X)<~>curious(X))=>(curious(X)&~creative(X))))&
((~funny(lucy))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)|~wise(X))<=>(~calm(X)<~>~humble(X))))&
((?[X]:((generous(X)|~curi... | ~curious(susan) | [] | null | 0 |
Everyone who is either not calm or not quiet is both funny and tall and vice versa.
Everyone who is old is not calm.
If john is both not creative and quiet then someone is not wise or rich and vice versa.
If lucy is either not creative or curious then lucy is happy or tall.
If paul is both not curious and not wise then... | John is tall. | contradiction | (![X]:((~calm(X)<~>~quiet(X))<=>(funny(X)&tall(X))))&
(![X]:(old(X)=>~calm(X)))&
(((~creative(john)&quiet(john)))<=>(?[X]:((~wise(X)|rich(X)))))&
(((~creative(lucy)<~>curious(lucy)))=>((happy(lucy)|tall(lucy))))&
(((~curious(paul)&~wise(paul)))<=>((~kind(susan)|~creative(susan))))&
((?[X]:((calm(X)&humble(X))))=>((~old... | tall(john) | [
"p0",
"p2",
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3658776111482452019843147
% SZS output start Proof for 3658776111482452019843147
1. ! [X0] : ((~calm(X0) <~> ~quiet(X0)) <=> (tall(X0) & funny(X0))) [input p0]
3. (quiet(john) & ~creative(john)) <=> ? [X0] : (rich(X0) | ~wise(X0)) [input p2]
7. ! [X0] : ((~rich(X0) | ~curious(X0)) => (bra... | 0 |
Everyone who is both old and not curious is not humble or not patient and vice versa. Everyone who is old is not strong and vice versa. Everyone who is quiet is not patient. If paul is quiet then someone is tall and vice versa. Everyone who is kind is both brave and curious and vice versa. Everyone who is either humble... | Susan is strong. | contradiction | (![X]:((old(X)&~curious(X))<=>(~humble(X)|~patient(X))))&
(![X]:(old(X)<=>~strong(X)))&
(![X]:(quiet(X)=>~patient(X)))&
((quiet(paul))<=>(?[X]:(tall(X))))&
(![X]:(kind(X)<=>(brave(X)&curious(X))))&
(![X]:((humble(X)<~>generous(X))=>(~quiet(X)<~>creative(X))))&
((?[X]:((happy(X)|~tall(X))))=>(?[X]:((~humble(X)&curious(X... | strong(susan) | [
"p0",
"p1",
"p2",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6958294884287707075136950
% SZS output start Proof for 6958294884287707075136950
1. ! [X0] : ((~curious(X0) & old(X0)) <=> (~patient(X0) | ~humble(X0))) [input p0]
2. ! [X0] : (old(X0) <=> ~strong(X0)) [input p1]
3. ! [X0] : (quiet(X0) => ~patient(X0)) [input p2]
11. ! [X0] : (patient(X0)... | 0 |
Everyone who is brave is tall or not happy. Everyone who is not creative or kind is calm or old and vice versa. Everyone who is both not generous and old is not strong. Everyone who is happy is both not kind and tall and vice versa. If someone is not humble or funny then alice is not funny or patient and vice versa. If... | John is wise. | contradiction | (![X]:(brave(X)=>(tall(X)|~happy(X))))&
(![X]:((~creative(X)|kind(X))<=>(calm(X)|old(X))))&
(![X]:((~generous(X)&old(X))=>~strong(X)))&
(![X]:(happy(X)<=>(~kind(X)&tall(X))))&
((?[X]:((~humble(X)|funny(X))))<=>((~funny(alice)|patient(alice))))&
(((~rich(john)<~>~funny(john)))<=>((brave(alice)&~old(alice))))&
(![X]:((ge... | wise(john) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1843767653256948463409672
% SZS output start Proof for 1843767653256948463409672
11. ! [X0] : ((rich(X0) & ~rich(X0)) <=> (wise(X0) & funny(X0))) [input p10]
16. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (kind(X0) & funny(X0))) [input p15]
24. wise(john) [input hypothesis]
59. ! [X0] : (((r... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or rich. Everyone who is not creative is not rich and vice versa. Everyone who is both old and not kind is wise and vice versa. If susan is both funny and not patient then fred is either not b... | Susan is not old. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&~kind(X))<=>wise(X)))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))... | ~old(susan) | [
"p2",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6586058327095428219555530
% SZS output start Proof for 6586058327095428219555530
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
13. ! [X0] : ((~creative(X0) | generous(X0)) <=> (generous(X0) & ~humble(X0))) [input p12]
15. ! [X0] : ((quiet(X0) & rich(X0)) <=> (~calm(X0) | ~humble(X0... | 0 |
If someone is funny or kind then someone is either not wise or humble and vice versa.
Everyone who is happy is not old and vice versa.
Everyone who is not happy is both generous and calm.
Everyone who is old or rich is kind.
Everyone who is funny is not creative or not kind.
Everyone who is not humble or old is rich or... | Mary is old. | contradiction | ((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))... | old(mary) | [
"p1",
"p2",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5663596532998899633148300
% SZS output start Proof for 5663596532998899633148300
2. ! [X0] : (happy(X0) <=> ~old(X0)) [input p1]
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
8. ! [X0] : ((generous(X0) & humble(X0)) => (happy(X0) & kind(X0))) [input p7]
11. ! [X0] : ((g... | 0 |
If someone is both patient and not happy then alice is generous and vice versa.
Everyone who is generous is either not kind or humble.
Everyone who is not wise or tall is not strong or curious and vice versa.
Everyone who is either not brave or happy is both not patient and not funny and vice versa.
If someone is both ... | Lucy is old. | neutral | ((?[X]:((patient(X)&~happy(X))))<=>(generous(alice)))&
(![X]:(generous(X)=>(~kind(X)<~>humble(X))))&
(![X]:((~wise(X)|tall(X))<=>(~strong(X)|curious(X))))&
(![X]:((~brave(X)<~>happy(X))<=>(~patient(X)&~funny(X))))&
((?[X]:((~humble(X)&strong(X))))=>(~quiet(fred)))&
((?[X]:((~quiet(X)<~>~calm(X))))<=>((old(alice)<~>happ... | old(lucy) | [] | null | 0 |
If john is both generous and happy then someone is either quiet or not calm and vice versa. Everyone who is either not generous or not funny is funny and vice versa. Everyone who is curious or not old is rich and vice versa. Everyone who is both not tall and not quiet is not humble and vice versa. Everyone who is not t... | John is humble. | neutral | (((generous(john)&happy(john)))<=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:((~generous(X)<~>~funny(X))<=>funny(X)))&
(![X]:((curious(X)|~old(X))<=>rich(X)))&
(![X]:((~tall(X)&~quiet(X))<=>~humble(X)))&
(![X]:((~tall(X)|brave(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((creative(X)<~>~humble(X))=>(~humble(X)&~wise(X))))&
(![X]:... | humble(john) | [] | null | 0 |
Everyone who is funny is both not creative and not brave. If someone is not patient or not strong then someone is either not old or not funny and vice versa. Everyone who is both brave and not curious is humble. Everyone who is not quiet or not happy is rich and vice versa. Everyone who is brave is funny or generous an... | Susan is rich. | neutral | (![X]:(funny(X)=>(~creative(X)&~brave(X))))&
((?[X]:((~patient(X)|~strong(X))))<=>(?[X]:((~old(X)<~>~funny(X)))))&
(![X]:((brave(X)&~curious(X))=>humble(X)))&
(![X]:((~quiet(X)|~happy(X))<=>rich(X)))&
(![X]:(brave(X)<=>(funny(X)|generous(X))))&
(![X]:((funny(X)&happy(X))=>(~strong(X)|humble(X))))&
((curious(mary))<=>(?... | rich(susan) | [] | null | 0 |
If mary is both not old and patient then lucy is either not tall or rich.
Everyone who is both happy and calm is either not creative or not tall and vice versa.
Everyone who is quiet is either old or tall.
Everyone who is both not tall and not calm is generous and vice versa.
Everyone who is not calm is tall or wise an... | Fred is strong. | entailment | (((~old(mary)&patient(mary)))=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((happy(X)&calm(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:(quiet(X)=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(![X]:((~funny(X)|humble... | strong(fred) | [
"p3",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5459900845316277254193197
% SZS output start Proof for 5459900845316277254193197
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
7. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) <~> ~quie... | 0 |
If john is calm or generous then someone is not happy. Everyone who is both not wise and calm is old. If alice is both not tall and creative then fred is either not funny or not kind and vice versa. If fred is old or not strong then someone is old or kind and vice versa. Everyone who is both not creative and happy is b... | Paul is not wise. | entailment | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~tall(alice)&creative(alice)))<=>((~funny(fred)<~>~kind(fred))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(X))))&
(((brave(alice)&~funny(alice)))<=>(?[X]:(... | ~wise(paul) | [
"p4",
"p6",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 236531401591263716785389
% SZS output start Proof for 236531401591263716785389
5. ! [X0] : ((happy(X0) & ~creative(X0)) => (~generous(X0) & patient(X0))) [input p4]
7. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> (~strong... | 0 |
Everyone who is both not generous and not curious is either not happy or not kind and vice versa. If someone is both funny and humble then someone is either not calm or not curious. If someone is not strong or not kind then susan is both funny and not humble and vice versa. Everyone who is not humble is not funny and v... | Mary is tall. | entailment | (![X]:((~generous(X)&~curious(X))<=>(~happy(X)<~>~kind(X))))&
((?[X]:((funny(X)&humble(X))))=>(?[X]:((~calm(X)<~>~curious(X)))))&
((?[X]:((~strong(X)|~kind(X))))<=>((funny(susan)&~humble(susan))))&
(![X]:(~humble(X)<=>~funny(X)))&
((~wise(mary))=>(tall(lucy)))&
(![X]:((creative(X)&~quiet(X))<=>(rich(X)<~>~strong(X))))&... | tall(mary) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7585327527807073172542806
% SZS output start Proof for 7585327527807073172542806
1. ! [X0] : ((~curious(X0) & ~generous(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p0]
3. ? [X0] : (~kind(X0) | ~strong(X0)) <=> (~humble(susan) & funny(susan)) [input p2]
4. ! [X0] : (~humble(X0) <=> ~funny(... | 0 |
If mary is both calm and curious then someone is either not curious or patient. Everyone who is both tall and humble is both creative and not brave and vice versa. If fred is both not curious and not funny then mary is both funny and not funny and vice versa. Everyone who is either not tall or funny is not tall or old ... | Mary is patient. | neutral | (((calm(mary)&curious(mary)))=>(?[X]:((~curious(X)<~>patient(X)))))&
(![X]:((tall(X)&humble(X))<=>(creative(X)&~brave(X))))&
(((~curious(fred)&~funny(fred)))<=>((funny(mary)&~funny(mary))))&
(![X]:((~tall(X)<~>funny(X))<=>(~tall(X)|old(X))))&
(![X]:((funny(X)|~tall(X))=>~kind(X)))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X... | patient(mary) | [] | null | 0 |
Everyone who is brave or creative is not kind and vice versa.
Everyone who is both not brave and funny is either quiet or patient and vice versa.
Everyone who is either not wise or not quiet is not generous or not curious.
Everyone who is not tall is curious and vice versa.
If fred is either tall or kind then someone i... | Fred is not generous. | entailment | (![X]:((brave(X)|creative(X))<=>~kind(X)))&
(![X]:((~brave(X)&funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~generous(X)|~curious(X))))&
(![X]:(~tall(X)<=>curious(X)))&
(((tall(fred)<~>kind(fred)))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(brave(X)|funny(X))))&
(![... | ~generous(fred) | [
"p0",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1420379490265411530338814
% SZS output start Proof for 1420379490265411530338814
1. ! [X0] : ((creative(X0) | brave(X0)) <=> ~kind(X0)) [input p0]
8. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~creative(X0))) [input p7]
11. ? [X0] : ~kind(X0) <=> ? [X0] : (generous(X0) & ~creative(X0)) [in... | 0 |
Everyone who is generous or kind is not kind.
Everyone who is kind or creative is humble or not funny and vice versa.
If lucy is either not wise or not funny then someone is both brave and not curious.
Everyone who is both creative and not strong is not strong and vice versa.
Everyone who is either strong or tall is no... | Susan is rich. | neutral | (![X]:((generous(X)|kind(X))=>~kind(X)))&
(![X]:((kind(X)|creative(X))<=>(humble(X)|~funny(X))))&
(((~wise(lucy)<~>~funny(lucy)))=>(?[X]:((brave(X)&~curious(X)))))&
(![X]:((creative(X)&~strong(X))<=>~strong(X)))&
(![X]:((strong(X)<~>tall(X))<=>(~quiet(X)|humble(X))))&
(![X]:(brave(X)=>curious(X)))&
((funny(paul))<=>(?[... | rich(susan) | [] | null | 0 |
Everyone who is not old is not wise and vice versa. Everyone who is both strong and not quiet is both generous and not curious and vice versa. If alice is not quiet or happy then someone is both creative and quiet and vice versa. Everyone who is generous is not rich. Everyone who is either not patient or wise is both w... | Susan is not calm. | neutral | (![X]:(~old(X)<=>~wise(X)))&
(![X]:((strong(X)&~quiet(X))<=>(generous(X)&~curious(X))))&
(((~quiet(alice)|happy(alice)))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:((~patient(X)<~>wise(X))=>(wise(X)&rich(X))))&
((?[X]:((humble(X)|~brave(X))))<=>(patient(lucy)))&
((?[X]:(generous(X)))<=>((... | ~calm(susan) | [] | null | 0 |
If lucy is either tall or not quiet then someone is not calm and vice versa.
Everyone who is both not old and creative is either not kind or strong and vice versa.
Everyone who is either not humble or not brave is both not curious and not kind.
If someone is both not curious and not brave then someone is not humble and... | Mary is wise. | contradiction | (((tall(lucy)<~>~quiet(lucy)))<=>(?[X]:(~calm(X))))&
(![X]:((~old(X)&creative(X))<=>(~kind(X)<~>strong(X))))&
(![X]:((~humble(X)<~>~brave(X))=>(~curious(X)&~kind(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:(~humble(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(calm(X))))&
((funny(susan))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
... | wise(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5640519150715666179153720
% SZS output start Proof for 5640519150715666179153720
14. ! [X0] : (wise(X0) => (~calm(X0) & ~wise(X0))) [input p13]
25. wise(mary) [input hypothesis]
36. ! [X0] : ((~calm(X0) & ~wise(X0)) | ~wise(X0)) [ennf transformation 14]
129. ~wise(X0) | ~wise(X0) [cnf tra... | 0 |
Everyone who is happy is both humble and funny.
If someone is not wise then someone is either curious or not old.
Everyone who is either not wise or not rich is either strong or happy and vice versa.
If someone is both creative and not funny then paul is either wise or not quiet.
Everyone who is either not curious or n... | Susan is strong. | entailment | (![X]:(happy(X)=>(humble(X)&funny(X))))&
((?[X]:(~wise(X)))=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(strong(X)<~>happy(X))))&
((?[X]:((creative(X)&~funny(X))))=>((wise(paul)<~>~quiet(paul))))&
(![X]:((~curious(X)<~>~old(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>(brave(X)<~>generous(X))))&
(![X]:((... | strong(susan) | [
"p2",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4928409941033247020118159
% SZS output start Proof for 4928409941033247020118159
3. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (strong(X0) <~> happy(X0))) [input p2]
8. ! [X0] : ((~wise(X0) | brave(X0)) => wise(X0)) [input p7]
10. ! [X0] : (rich(X0) <=> (~wise(X0) & ~curious(X0))) [input p9]... | 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 funny. | 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)<... | funny(john) | [] | null | 0 |
If john is both not rich and not happy then fred is either curious or not curious.
If lucy is humble or not creative then someone is both humble and not rich and vice versa.
Everyone who is both strong and not old is both not brave and not creative.
If fred is not tall then alice is both not rich and calm.
Everyone who... | Paul is generous. | entailment | (((~rich(john)&~happy(john)))=>((curious(fred)<~>~curious(fred))))&
(((humble(lucy)|~creative(lucy)))<=>(?[X]:((humble(X)&~rich(X)))))&
(![X]:((strong(X)&~old(X))=>(~brave(X)&~creative(X))))&
((~tall(fred))=>((~rich(alice)&calm(alice))))&
(![X]:(brave(X)=>(~funny(X)<~>~kind(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>~ol... | generous(paul) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5206545354981946620491014
% SZS output start Proof for 5206545354981946620491014
11. ! [X0] : ((old(X0) | ~rich(X0)) <=> (kind(X0) & rich(X0))) [input p10]
15. (creative(paul) & ~rich(paul)) <=> ? [X0] : (~funny(X0) | ~generous(X0)) [input p14]
23. ~generous(paul) [input hypothesis]
52. !... | 0 |
Everyone who is quiet is both generous and rich.
Everyone who is not strong or not rich is either not funny or kind.
If lucy is humble or not strong then someone is either patient or creative and vice versa.
If john is both not curious and humble then someone is both not generous and not patient.
If someone is not crea... | Lucy is not strong. | entailment | (![X]:(quiet(X)=>(generous(X)&rich(X))))&
(![X]:((~strong(X)|~rich(X))=>(~funny(X)<~>kind(X))))&
(((humble(lucy)|~strong(lucy)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(((~curious(john)&humble(john)))=>(?[X]:((~generous(X)&~patient(X)))))&
((?[X]:((~creative(X)|strong(X))))<=>((~generous(john)&~rich(john))))&
(![X]:(~... | ~strong(lucy) | [
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1121502514202342560283256
% SZS output start Proof for 1121502514202342560283256
5. ? [X0] : (strong(X0) | ~creative(X0)) <=> (~rich(john) & ~generous(john)) [input p4]
6. ! [X0] : (~rich(X0) <=> (generous(X0) & calm(X0))) [input p5]
13. ! [X0] : ((~calm(X0) & calm(X0)) <=> generous(X0)) ... | 0 |
Everyone who is happy or not creative is happy.
Everyone who is either not tall or not patient is both patient and not creative.
Everyone who is both not strong and quiet is wise and vice versa.
Everyone who is not creative or not brave is either creative or not brave and vice versa.
If fred is either not kind or patie... | Fred is funny. | neutral | (![X]:((happy(X)|~creative(X))=>happy(X)))&
(![X]:((~tall(X)<~>~patient(X))=>(patient(X)&~creative(X))))&
(![X]:((~strong(X)&quiet(X))<=>wise(X)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>~brave(X))))&
(((~kind(fred)<~>patient(fred)))=>(?[X]:((~curious(X)<~>~kind(X)))))&
((~tall(lucy))=>(?[X]:(curious(X))))&
(... | funny(fred) | [] | null | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not happy and happy and vice versa.
Everyone who is quiet or wise is rich or not curious and vice versa.
Everyone who is quiet is either quiet or happy... | Susan is happy. | contradiction | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(rich(X)<~>~patient(X))))&
(![X]:(generous(X)<=... | happy(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 195479091010261441998561
% SZS output start Proof for 195479091010261441998561
5. ! [X0] : (quiet(X0) <=> (quiet(X0) <~> happy(X0))) [input p4]
22. happy(susan) [input hypothesis]
35. ! [X0] : ((quiet(X0) | ((quiet(X0) | ~happy(X0)) & (happy(X0) | ~quiet(X0)))) & (((~happy(X0) | ~quiet(X0... | 0 |
Everyone who is either patient or curious is strong or not quiet.
Everyone who is either brave or not rich is both quiet and not old.
If john is either not old or not wise then alice is either not happy or not quiet and vice versa.
Everyone who is both generous and humble is both happy and old and vice versa.
If someon... | Paul is creative. | neutral | (![X]:((patient(X)<~>curious(X))=>(strong(X)|~quiet(X))))&
(![X]:((brave(X)<~>~rich(X))=>(quiet(X)&~old(X))))&
(((~old(john)<~>~wise(john)))<=>((~happy(alice)<~>~quiet(alice))))&
(![X]:((generous(X)&humble(X))<=>(happy(X)&old(X))))&
((?[X]:((~kind(X)|~curious(X))))<=>((generous(lucy)|~patient(lucy))))&
((?[X]:((~kind(X... | creative(paul) | [] | null | 0 |
Everyone who is both strong and humble is either brave or not happy. Everyone who is either patient or curious is either creative or not curious. Everyone who is both patient and happy is not funny or not wise and vice versa. If lucy is kind then someone is either not wise or not calm. If someone is not generous or bra... | Mary is not calm. | entailment | (![X]:((strong(X)&humble(X))=>(brave(X)<~>~happy(X))))&
(![X]:((patient(X)<~>curious(X))=>(creative(X)<~>~curious(X))))&
(![X]:((patient(X)&happy(X))<=>(~funny(X)|~wise(X))))&
((kind(lucy))=>(?[X]:((~wise(X)<~>~calm(X)))))&
((?[X]:((~generous(X)|brave(X))))=>(?[X]:((~tall(X)|~calm(X)))))&
(![X]:((quiet(X)|~generous(X))... | ~calm(mary) | [
"p2",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 817760211624633693171323
% SZS output start Proof for 817760211624633693171323
3. ! [X0] : ((happy(X0) & patient(X0)) <=> (~wise(X0) | ~funny(X0))) [input p2]
8. ! [X0] : ((~rich(X0) | happy(X0)) => (~calm(X0) & ~kind(X0))) [input p7]
10. ! [X0] : (calm(X0) => (~wise(X0) & ~humble(X0))) [... | 0 |
If fred is not quiet or not generous then susan is both tall and not kind.
Everyone who is both quiet and not curious is either calm or not tall.
If paul is either not quiet or humble then mary is either calm or not creative.
Everyone who is strong is happy or not tall and vice versa.
If susan is calm or not strong the... | Paul is strong. | entailment | (((~quiet(fred)|~generous(fred)))=>((tall(susan)&~kind(susan))))&
(![X]:((quiet(X)&~curious(X))=>(calm(X)<~>~tall(X))))&
(((~quiet(paul)<~>humble(paul)))=>((calm(mary)<~>~creative(mary))))&
(![X]:(strong(X)<=>(happy(X)|~tall(X))))&
(((calm(susan)|~strong(susan)))=>(?[X]:((calm(X)&humble(X)))))&
(![X]:(creative(X)=>kind... | strong(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3938067261079062991479911
% SZS output start Proof for 3938067261079062991479911
9. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (~calm(X0) & strong(X0))) [input p8]
25. ~strong(paul) [input hypothesis]
50. ! [X0] : (((generous(X0) | ~strong(X0)) | (calm(X0) | ~strong(X0))) & ((~calm(X0) & ... | 0 |
Everyone who is either not happy or not rich is not strong or quiet and vice versa.
Everyone who is not calm or not creative is not tall.
Everyone who is wise is either not strong or calm.
Everyone who is not brave or creative is either humble or not creative.
If someone is not funny then john is humble or tall and vic... | John is generous. | neutral | (![X]:((~happy(X)<~>~rich(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~calm(X)|~creative(X))=>~tall(X)))&
(![X]:(wise(X)=>(~strong(X)<~>calm(X))))&
(![X]:((~brave(X)|creative(X))=>(humble(X)<~>~creative(X))))&
((?[X]:(~funny(X)))<=>((humble(john)|tall(john))))&
(![X]:((rich(X)&~creative(X))=>(funny(X)|~tall(X))))&
((?[X]:(q... | generous(john) | [] | null | 0 |
Everyone who is both humble and not quiet is tall and vice versa.
If someone is patient or not rich then someone is either not curious or not quiet.
Everyone who is either patient or not kind is brave or not creative.
If someone is creative then someone is either creative or funny.
If someone is both tall and calm then... | Susan is not happy. | contradiction | (![X]:((humble(X)&~quiet(X))<=>tall(X)))&
((?[X]:((patient(X)|~rich(X))))=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(![X]:((patient(X)<~>~kind(X))=>(brave(X)|~creative(X))))&
((?[X]:(creative(X)))=>(?[X]:((creative(X)<~>funny(X)))))&
((?[X]:((tall(X)&calm(X))))<=>((~humble(alice)<~>~strong(alice))))&
((?[X]:((rich(X)&~happ... | ~happy(susan) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 965381010568550896550346
% SZS output start Proof for 965381010568550896550346
9. ! [X0] : ((tall(X0) | ~creative(X0)) => (~rich(X0) & ~patient(X0))) [input p8]
12. (rich(alice) & tall(alice)) <=> ? [X0] : (~happy(X0) | brave(X0)) [input p11]
25. ~happy(susan) [input hypothesis]
36. ! [X0... | 0 |
If paul is both happy and not generous then someone is humble and vice versa.
If someone is not strong or not creative then john is both not rich and not strong.
If someone is both not quiet and kind then lucy is either calm or not generous.
If someone is not wise or not calm then john is both happy and not creative an... | Susan is not happy. | entailment | (((happy(paul)&~generous(paul)))<=>(?[X]:(humble(X))))&
((?[X]:((~strong(X)|~creative(X))))=>((~rich(john)&~strong(john))))&
((?[X]:((~quiet(X)&kind(X))))=>((calm(lucy)<~>~generous(lucy))))&
((?[X]:((~wise(X)|~calm(X))))<=>((happy(john)&~creative(john))))&
((?[X]:(generous(X)))=>(?[X]:((~tall(X)&~wise(X)))))&
(((~funny... | ~happy(susan) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1600024541341414449702000
% SZS output start Proof for 1600024541341414449702000
2. ? [X0] : (~creative(X0) | ~strong(X0)) => (~strong(john) & ~rich(john)) [input p1]
4. ? [X0] : (~calm(X0) | ~wise(X0)) <=> (~creative(john) & happy(john)) [input p3]
5. ? [X0] : generous(X0) => ? [X0] : (~... | 0 |
If susan is not humble then someone is both not rich and not generous and vice versa.
Everyone who is tall or patient is not old.
Everyone who is both not curious and tall is curious or funny.
Everyone who is either not creative or not tall is either not old or creative and vice versa.
Everyone who is calm is both funn... | Fred is curious. | contradiction | ((~humble(susan))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:((tall(X)|patient(X))=>~old(X)))&
(![X]:((~curious(X)&tall(X))=>(curious(X)|funny(X))))&
(![X]:((~creative(X)<~>~tall(X))<=>(~old(X)<~>creative(X))))&
(![X]:(calm(X)=>(funny(X)&humble(X))))&
((?[X]:((~generous(X)|~brave(X))))<=>(?[X]:(~old(X))))&
((generous(p... | curious(fred) | [
"p0",
"p4",
"p9",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4313775754307374785943167
% SZS output start Proof for 4313775754307374785943167
1. ~humble(susan) <=> ? [X0] : (~generous(X0) & ~rich(X0)) [input p0]
5. ! [X0] : (calm(X0) => (humble(X0) & funny(X0))) [input p4]
10. ! [X0] : ((~curious(X0) & generous(X0)) <=> ~old(X0)) [input p9]
12. ! [... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | Alice is generous. | contradiction | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | generous(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6889272926761905816502120
% SZS output start Proof for 6889272926761905816502120
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
3. ! [X0] : ((rich(X0) | humble(X0)) => (~strong(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X... | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | John is creative. | contradiction | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | creative(john) | [
"p0",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8230563749694518881431392
% SZS output start Proof for 8230563749694518881431392
1. ! [X0] : ((~generous(X0) | happy(X0)) <=> old(X0)) [input p0]
7. ? [X0] : (~patient(X0) | creative(X0)) => ? [X0] : (brave(X0) <~> ~old(X0)) [input p6]
11. ! [X0] : ((old(X0) | ~old(X0)) => (~funny(X0) & ~... | 0 |
If susan is both not old and not quiet then someone is either calm or not rich and vice versa. If someone is happy or not happy then paul is both quiet and not curious. If john is both old and not tall then lucy is both not old and rich and vice versa. Everyone who is either old or not patient is either tall or patient... | John is wise. | entailment | (((~old(susan)&~quiet(susan)))<=>(?[X]:((calm(X)<~>~rich(X)))))&
((?[X]:((happy(X)|~happy(X))))=>((quiet(paul)&~curious(paul))))&
(((old(john)&~tall(john)))<=>((~old(lucy)&rich(lucy))))&
(![X]:((old(X)<~>~patient(X))<=>(tall(X)<~>patient(X))))&
((?[X]:((~creative(X)<~>old(X))))<=>((~calm(alice)|~old(alice))))&
(((wise(... | wise(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4676961844032827490196900
% SZS output start Proof for 4676961844032827490196900
8. ! [X0] : ((~wise(X0) | ~creative(X0)) => wise(X0)) [input p7]
25. ~wise(john) [input hypothesis]
33. ! [X0] : (wise(X0) | (wise(X0) & creative(X0))) [ennf transformation 8]
121. wise(X0) | wise(X0) [cnf tr... | 0 |
Everyone who is both wise and humble is not generous and vice versa. Everyone who is rich or not wise is both kind and not patient and vice versa. Everyone who is either not quiet or old is not brave or not creative. Everyone who is not happy is either not patient or not calm and vice versa. If someone is humble then p... | Paul is not calm. | neutral | (![X]:((wise(X)&humble(X))<=>~generous(X)))&
(![X]:((rich(X)|~wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~quiet(X)<~>old(X))=>(~brave(X)|~creative(X))))&
(![X]:(~happy(X)<=>(~patient(X)<~>~calm(X))))&
((?[X]:(humble(X)))=>((brave(paul)<~>creative(paul))))&
(![X]:(~patient(X)<=>(~wise(X)|wise(X))))&
(((generous(lucy)&t... | ~calm(paul) | [] | null | 0 |
If john is both not wise and not humble then alice is patient.
If someone is both funny and not creative then mary is either tall or happy.
If john is not wise or generous then susan is either not generous or rich and vice versa.
Everyone who is not generous or not strong is both not rich and kind.
Everyone who is not ... | Paul is not rich. | entailment | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((tall(mary)<~>happy(mary))))&
(((~wise(john)|generous(john)))<=>((~generous(susan)<~>rich(susan))))&
(![X]:((~generous(X)|~strong(X))=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<... | ~rich(paul) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7255950749470589729527632
% SZS output start Proof for 7255950749470589729527632
4. ! [X0] : ((~strong(X0) | ~generous(X0)) => (kind(X0) & ~rich(X0))) [input p3]
5. ! [X0] : (~funny(X0) <=> (~strong(X0) | funny(X0))) [input p4]
23. rich(paul) [input hypothesis]
31. ! [X0] : ((kind(X0) & ~... | 0 |
Everyone who is both not funny and creative is not patient. If alice is both not generous and strong then someone is either wise or not brave and vice versa. If paul is not creative or not generous then john is both not old and not curious and vice versa. Everyone who is not happy is not funny and vice versa. Everyone ... | Paul is not brave. | neutral | (![X]:((~funny(X)&creative(X))=>~patient(X)))&
(((~generous(alice)&strong(alice)))<=>(?[X]:((wise(X)<~>~brave(X)))))&
(((~creative(paul)|~generous(paul)))<=>((~old(john)&~curious(john))))&
(![X]:(~happy(X)<=>~funny(X)))&
(![X]:((~tall(X)<~>patient(X))<=>(~funny(X)&rich(X))))&
(![X]:((strong(X)&~wise(X))<=>~happy(X)))&
... | ~brave(paul) | [] | null | 0 |
If fred is either brave or not patient then someone is not patient and vice versa.
If paul is calm or not kind then john is both not generous and tall.
Everyone who is both kind and not quiet is not creative or generous and vice versa.
If someone is not humble then someone is either not happy or generous.
If fred is hu... | Fred is old. | entailment | (((brave(fred)<~>~patient(fred)))<=>(?[X]:(~patient(X))))&
(((calm(paul)|~kind(paul)))=>((~generous(john)&tall(john))))&
(![X]:((kind(X)&~quiet(X))<=>(~creative(X)|generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~happy(X)<~>generous(X)))))&
(((humble(fred)|~kind(fred)))<=>((funny(paul)&happy(paul))))&
(((~calm(alice)&~st... | old(fred) | [
"p2",
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 842770395742199941472871
% SZS output start Proof for 842770395742199941472871
3. ! [X0] : ((~quiet(X0) & kind(X0)) <=> (generous(X0) | ~creative(X0))) [input p2]
9. ! [X0] : ((~curious(X0) <~> old(X0)) <=> kind(X0)) [input p8]
13. ! [X0] : (~curious(X0) <=> (~generous(X0) | ~rich(X0))) [... | 0 |
If someone is both old and not generous then mary is not kind or curious.
Everyone who is funny or not generous is not tall.
If paul is both not wise and creative then someone is either tall or brave and vice versa.
If fred is either quiet or humble then someone is both not kind and kind and vice versa.
If john is eith... | Susan is calm. | neutral | ((?[X]:((old(X)&~generous(X))))=>((~kind(mary)|curious(mary))))&
(![X]:((funny(X)|~generous(X))=>~tall(X)))&
(((~wise(paul)&creative(paul)))<=>(?[X]:((tall(X)<~>brave(X)))))&
(((quiet(fred)<~>humble(fred)))<=>(?[X]:((~kind(X)&kind(X)))))&
(((~quiet(john)<~>~calm(john)))=>((humble(john)|calm(john))))&
((~curious(paul))=... | calm(susan) | [] | null | 0 |
Everyone who is either calm or rich is patient.
If someone is both not brave and not creative then susan is kind.
Everyone who is creative or not quiet is both strong and not rich and vice versa.
If susan is either not happy or not patient then mary is not old or not generous.
If someone is not funny or not old then al... | Alice is funny. | entailment | (![X]:((calm(X)<~>rich(X))=>patient(X)))&
((?[X]:((~brave(X)&~creative(X))))=>(kind(susan)))&
(![X]:((creative(X)|~quiet(X))<=>(strong(X)&~rich(X))))&
(((~happy(susan)<~>~patient(susan)))=>((~old(mary)|~generous(mary))))&
((?[X]:((~funny(X)|~old(X))))<=>((curious(alice)&~curious(alice))))&
(![X]:(~kind(X)=>(brave(X)|~b... | funny(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5846000597717498123192195
% SZS output start Proof for 5846000597717498123192195
5. ? [X0] : (~old(X0) | ~funny(X0)) <=> (~curious(alice) & curious(alice)) [input p4]
25. ~funny(alice) [input hypothesis]
43. (? [X0] : (~old(X0) | ~funny(X0)) | (curious(alice) | ~curious(alice))) & ((~curi... | 0 |
If someone is not strong or wise then someone is either not generous or not patient.
Everyone who is either not humble or not calm is old and vice versa.
Everyone who is not patient is either rich or not old and vice versa.
Everyone who is not rich or not old is both funny and not patient.
If fred is both patient and n... | John is not generous. | contradiction | ((?[X]:((~strong(X)|wise(X))))=>(?[X]:((~generous(X)<~>~patient(X)))))&
(![X]:((~humble(X)<~>~calm(X))<=>old(X)))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|~old(X))=>(funny(X)&~patient(X))))&
(((patient(fred)&~kind(fred)))<=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:((~patient(X)<~>patient(X))<=... | ~generous(john) | [
"p5",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3913886077075312228671675
% SZS output start Proof for 3913886077075312228671675
6. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> (~kind(X0) & ~brave(X0))) [input p5]
12. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & ~creative(X0))) [input p11]
20. funny(john) [input p19]
25. ~g... | 0 |
If someone is either happy or not calm then susan is not happy.
If mary is either humble or not old then someone is either not old or quiet.
If susan is both brave and not funny then paul is not patient or strong.
Everyone who is not old is both kind and generous.
Everyone who is not curious is either not funny or not ... | Mary is rich. | contradiction | ((?[X]:((happy(X)<~>~calm(X))))=>(~happy(susan)))&
(((humble(mary)<~>~old(mary)))=>(?[X]:((~old(X)<~>quiet(X)))))&
(((brave(susan)&~funny(susan)))=>((~patient(paul)|strong(paul))))&
(![X]:(~old(X)=>(kind(X)&generous(X))))&
(![X]:(~curious(X)=>(~funny(X)<~>~strong(X))))&
(![X]:((kind(X)|~old(X))<=>(creative(X)|~generous... | rich(mary) | [
"p3",
"p5",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3500916797828214210576931
% SZS output start Proof for 3500916797828214210576931
4. ! [X0] : (~old(X0) => (generous(X0) & kind(X0))) [input p3]
6. ! [X0] : ((~old(X0) | kind(X0)) <=> (~generous(X0) | creative(X0))) [input p5]
8. ! [X0] : ((generous(X0) & happy(X0)) => ~rich(X0)) [input p7... | 0 |
If susan is either patient or not calm then lucy is not old or humble.
Everyone who is either not curious or not generous is calm or old and vice versa.
Everyone who is either curious or calm is either quiet or not funny.
Everyone who is not quiet or not old is either not humble or not kind and vice versa.
Everyone who... | Fred is not creative. | entailment | (((patient(susan)<~>~calm(susan)))=>((~old(lucy)|humble(lucy))))&
(![X]:((~curious(X)<~>~generous(X))<=>(calm(X)|old(X))))&
(![X]:((curious(X)<~>calm(X))=>(quiet(X)<~>~funny(X))))&
(![X]:((~quiet(X)|~old(X))<=>(~humble(X)<~>~kind(X))))&
(![X]:((old(X)<~>~calm(X))<=>(~wise(X)<~>curious(X))))&
((?[X]:(generous(X)))<=>(?[... | ~creative(fred) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8666842874247039575219535
% SZS output start Proof for 8666842874247039575219535
13. ? [X0] : ~strong(X0) => ~creative(fred) [input p12]
18. ? [X0] : (~strong(X0) & ~humble(X0)) [input p17]
24. creative(fred) [input hypothesis]
37. ~creative(fred) | ! [X0] : strong(X0) [ennf transformatio... | 0 |
Everyone who is both humble and brave is not creative and vice versa.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not qu... | Paul is quiet. | entailment | (![X]:((humble(X)&brave(X))<=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((~... | quiet(paul) | [
"p1",
"p3",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7640594438749761643797212
% SZS output start Proof for 7640594438749761643797212
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p3]
6. ! [X0] : ((rich(X0) | calm(X0)) => (~rich(X0) <~> ~brave(X0))) [input p5]
... | 0 |
Everyone who is not brave is not kind or old and vice versa.
If someone is either not wise or not strong then susan is both creative and curious.
If someone is either not quiet or wise then someone is either not rich or not humble.
Everyone who is not happy or rich is both not quiet and patient and vice versa.
If paul ... | John is not brave. | contradiction | (![X]:(~brave(X)<=>(~kind(X)|old(X))))&
((?[X]:((~wise(X)<~>~strong(X))))=>((creative(susan)&curious(susan))))&
((?[X]:((~quiet(X)<~>wise(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((~happy(X)|rich(X))<=>(~quiet(X)&patient(X))))&
(((quiet(paul)&creative(paul)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:((~strong(X)... | ~brave(john) | [
"p0",
"p5",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4541939398748208868768731
% SZS output start Proof for 4541939398748208868768731
1. ! [X0] : (~brave(X0) <=> (old(X0) | ~kind(X0))) [input p0]
6. ? [X0] : (happy(X0) & ~strong(X0)) => (~happy(john) & brave(john)) [input p5]
13. ! [X0] : (strong(X0) <=> (wise(X0) & old(X0))) [input p12]
17... | 0 |
If someone is kind then mary is both wise and not calm. If john is both not calm and quiet then someone is not creative and vice versa. If john is humble or not creative then someone is both not quiet and funny and vice versa. Everyone who is tall or funny is both kind and happy. Everyone who is rich is either not funn... | Lucy is wise. | contradiction | ((?[X]:(kind(X)))=>((wise(mary)&~calm(mary))))&
(((~calm(john)&quiet(john)))<=>(?[X]:(~creative(X))))&
(((humble(john)|~creative(john)))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:((tall(X)|funny(X))=>(kind(X)&happy(X))))&
(![X]:(rich(X)<=>(~funny(X)<~>~happy(X))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:((funny(X)<~>tal... | wise(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8709380569111469716451485
% SZS output start Proof for 8709380569111469716451485
1. ? [X0] : kind(X0) => (~calm(mary) & wise(mary)) [input p0]
2. (quiet(john) & ~calm(john)) <=> ? [X0] : ~creative(X0) [input p1]
4. ! [X0] : ((funny(X0) | tall(X0)) => (happy(X0) & kind(X0))) [input p3]
6. ... | 0 |
Everyone who is both not happy and generous is either wise or not funny. Everyone who is funny or quiet is not creative. If susan is not old then someone is brave or not brave and vice versa. If someone is patient or not old then lucy is not generous and vice versa. If someone is either wise or humble then mary is both... | Paul is not happy. | neutral | (![X]:((~happy(X)&generous(X))=>(wise(X)<~>~funny(X))))&
(![X]:((funny(X)|quiet(X))=>~creative(X)))&
((~old(susan))<=>(?[X]:((brave(X)|~brave(X)))))&
((?[X]:((patient(X)|~old(X))))<=>(~generous(lucy)))&
((?[X]:((wise(X)<~>humble(X))))<=>((~generous(mary)&~old(mary))))&
(![X]:((~generous(X)&generous(X))<=>(patient(X)&~c... | ~happy(paul) | [] | null | 0 |
Everyone who is either calm or creative is not happy or tall and vice versa.
Everyone who is either not creative or creative is humble and vice versa.
Everyone who is both not creative and curious is happy.
Everyone who is not generous or happy is both patient and not strong.
Everyone who is not funny or not old is tal... | John is curious. | contradiction | (![X]:((calm(X)<~>creative(X))<=>(~happy(X)|tall(X))))&
(![X]:((~creative(X)<~>creative(X))<=>humble(X)))&
(![X]:((~creative(X)&curious(X))=>happy(X)))&
(![X]:((~generous(X)|happy(X))=>(patient(X)&~strong(X))))&
(![X]:((~funny(X)|~old(X))=>(tall(X)|happy(X))))&
(((~tall(lucy)&~humble(lucy)))=>(?[X]:((~strong(X)<~>kind(... | curious(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5544353470781323739404257
% SZS output start Proof for 5544353470781323739404257
11. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (~wise(X0) | curious(X0))) [input p10]
25. curious(john) [input hypothesis]
61. ! [X0] : (((patient(X0) & ~curious(X0)) | (wise(X0) & ~curious(X0))) & ((~wise(X0... | 0 |
If someone is not humble or creative then paul is both rich and kind and vice versa.
Everyone who is either not curious or calm is not humble and vice versa.
If someone is funny or wise then someone is humble or tall.
Everyone who is brave is either quiet or not tall and vice versa.
If fred is either not patient or not... | Mary is not humble. | entailment | ((?[X]:((~humble(X)|creative(X))))<=>((rich(paul)&kind(paul))))&
(![X]:((~curious(X)<~>calm(X))<=>~humble(X)))&
((?[X]:((funny(X)|wise(X))))=>(?[X]:((humble(X)|tall(X)))))&
(![X]:(brave(X)<=>(quiet(X)<~>~tall(X))))&
(((~patient(fred)<~>~tall(fred)))=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:((~tall(X)<~>humble(X))=>~hu... | ~humble(mary) | [
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 316429092466662135570661
% SZS output start Proof for 316429092466662135570661
6. ! [X0] : ((~tall(X0) <~> humble(X0)) => ~humble(X0)) [input p5]
11. ? [X0] : (wise(X0) & quiet(X0)) <=> (~tall(mary) | quiet(mary)) [input p10]
16. ! [X0] : ((quiet(X0) | old(X0)) <=> ~wise(X0)) [input p15]
... | 0 |
If fred is not rich or creative then fred is strong or not quiet.
Everyone who is brave is not kind.
Everyone who is either quiet or curious is quiet or brave.
If alice is either calm or generous then mary is either patient or rich.
Everyone who is either generous or not creative is happy or not calm and vice versa.
Ev... | John is strong. | entailment | (((~rich(fred)|creative(fred)))=>((strong(fred)|~quiet(fred))))&
(![X]:(brave(X)=>~kind(X)))&
(![X]:((quiet(X)<~>curious(X))=>(quiet(X)|brave(X))))&
(((calm(alice)<~>generous(alice)))=>((patient(mary)<~>rich(mary))))&
(![X]:((generous(X)<~>~creative(X))<=>(happy(X)|~calm(X))))&
(![X]:(~rich(X)=>brave(X)))&
(![X]:(~tall... | strong(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8401528607243792521361843
% SZS output start Proof for 8401528607243792521361843
21. strong(john) & ~curious(john) [input p20]
25. ~strong(john) [input hypothesis]
120. strong(john) [cnf transformation 21]
125. ~strong(john) [cnf transformation 25]
232. $false [subsumption resolution 125,... | 0 |
Everyone who is not humble or curious is happy.
Everyone who is both patient and not patient is not old or wise and vice versa.
Everyone who is either not happy or patient is old.
Everyone who is kind is both funny and not funny.
If fred is not patient then someone is either generous or creative and vice versa.
If alic... | John is not kind. | entailment | (![X]:((~humble(X)|curious(X))=>happy(X)))&
(![X]:((patient(X)&~patient(X))<=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)=>(funny(X)&~funny(X))))&
((~patient(fred))<=>(?[X]:((generous(X)<~>creative(X)))))&
((~brave(alice))<=>((~creative(paul)<~>wise(paul))))&
(![X]:((~creative(X)|~ric... | ~kind(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7553182343526390432734154
% SZS output start Proof for 7553182343526390432734154
4. ! [X0] : (kind(X0) => (~funny(X0) & funny(X0))) [input p3]
24. kind(john) [input hypothesis]
28. ! [X0] : ((~funny(X0) & funny(X0)) | ~kind(X0)) [ennf transformation 4]
79. funny(X0) | ~kind(X0) [cnf trans... | 0 |
If someone is both not rich and strong then someone is old.
If someone is brave or not patient then john is both not kind and quiet.
If lucy is brave or strong then someone is tall and vice versa.
If paul is not rich or not funny then lucy is both kind and brave.
Everyone who is creative is both happy and not quiet and... | John is not calm. | neutral | ((?[X]:((~rich(X)&strong(X))))=>(?[X]:(old(X))))&
((?[X]:((brave(X)|~patient(X))))=>((~kind(john)&quiet(john))))&
(((brave(lucy)|strong(lucy)))<=>(?[X]:(tall(X))))&
(((~rich(paul)|~funny(paul)))=>((kind(lucy)&brave(lucy))))&
(![X]:(creative(X)<=>(happy(X)&~quiet(X))))&
(![X]:((old(X)|~patient(X))<=>(rich(X)|generous(X)... | ~calm(john) | [] | null | 0 |
Everyone who is either strong or not tall is either not tall or patient and vice versa. If someone is not patient or not curious then fred is not creative or not funny. Everyone who is humble or not tall is patient and vice versa. Everyone who is both quiet and not kind is either not happy or not quiet. Everyone who is... | Susan is not wise. | entailment | (![X]:((strong(X)<~>~tall(X))<=>(~tall(X)<~>patient(X))))&
((?[X]:((~patient(X)|~curious(X))))=>((~creative(fred)|~funny(fred))))&
(![X]:((humble(X)|~tall(X))<=>patient(X)))&
(![X]:((quiet(X)&~kind(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:(~brave(X)<=>(~kind(X)<~>kind(X))))&
(![X]:((~brave(X)&~generous(X))=>(~funny(X)|bra... | ~wise(susan) | [
"p0",
"p2",
"p3",
"p4",
"p8",
"p11",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6895553174691692077765222
% SZS output start Proof for 6895553174691692077765222
1. ! [X0] : ((strong(X0) <~> ~tall(X0)) <=> (~tall(X0) <~> patient(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | humble(X0)) <=> patient(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & quiet(X0)) => (~happy(X0) <~> ~q... | 0 |
If someone is not old then susan is not funny.
If mary is patient then someone is not calm and vice versa.
If john is either not happy or rich then someone is old or not strong and vice versa.
Everyone who is not quiet or not happy is both not funny and rich and vice versa.
Everyone who is either not quiet or calm is b... | Mary is patient. | contradiction | ((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(kind(X)&~brave(X))))&
(![X]:((old(X)<~>~strong(X))<=>(patient(X)&~happy(X))))&
(![X]:((~curiou... | patient(mary) | [
"p1",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 297541635728873649499325
% SZS output start Proof for 297541635728873649499325
2. patient(mary) <=> ? [X0] : ~calm(X0) [input p1]
8. ! [X0] : ((~quiet(X0) & ~calm(X0)) => (~creative(X0) & calm(X0))) [input p7]
9. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~quiet(X0) | ~funny(X0))) [input p8... | 0 |
If alice is patient then susan is not funny or quiet and vice versa.
Everyone who is humble or not curious is either not generous or not wise and vice versa.
If someone is both wise and not brave then lucy is patient or rich.
Everyone who is not quiet is either calm or not calm.
If susan is not rich then lucy is not ca... | Mary is not kind. | neutral | ((patient(alice))<=>((~funny(susan)|quiet(susan))))&
(![X]:((humble(X)|~curious(X))<=>(~generous(X)<~>~wise(X))))&
((?[X]:((wise(X)&~brave(X))))=>((patient(lucy)|rich(lucy))))&
(![X]:(~quiet(X)=>(calm(X)<~>~calm(X))))&
((~rich(susan))=>((~calm(lucy)|~patient(lucy))))&
(![X]:((~kind(X)|~rich(X))<=>(~strong(X)|tall(X))))... | ~kind(mary) | [] | null | 0 |
Everyone who is both brave and not old is both not generous and not curious and vice versa.
If susan is curious or happy then someone is both not strong and quiet and vice versa.
If lucy is both kind and not happy then someone is both not old and rich and vice versa.
If someone is not calm then someone is both not crea... | John is not tall. | neutral | (![X]:((brave(X)&~old(X))<=>(~generous(X)&~curious(X))))&
(((curious(susan)|happy(susan)))<=>(?[X]:((~strong(X)&quiet(X)))))&
(((kind(lucy)&~happy(lucy)))<=>(?[X]:((~old(X)&rich(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:((~creative(X)&kind(X)))))&
((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((ha... | ~tall(john) | [] | null | 0 |
Everyone who is both tall and quiet is tall and vice versa. Everyone who is either not funny or creative is kind or wise. If someone is not rich then someone is humble. If fred is funny or wise then susan is not rich or not strong. Everyone who is not tall or not creative is old and vice versa. If someone is either tal... | Lucy is not humble. | contradiction | (![X]:((tall(X)&quiet(X))<=>tall(X)))&
(![X]:((~funny(X)<~>creative(X))=>(kind(X)|wise(X))))&
((?[X]:(~rich(X)))=>(?[X]:(humble(X))))&
(((funny(fred)|wise(fred)))=>((~rich(susan)|~strong(susan))))&
(![X]:((~tall(X)|~creative(X))<=>old(X)))&
((?[X]:((tall(X)<~>old(X))))=>((calm(lucy)&tall(lucy))))&
(![X]:((calm(X)&~tall... | ~humble(lucy) | [
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5610744417548612095146697
% SZS output start Proof for 5610744417548612095146697
5. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> old(X0)) [input p4]
6. ? [X0] : (tall(X0) <~> old(X0)) => (tall(lucy) & calm(lucy)) [input p5]
10. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (kind(X0) & humble(X0))) [... | 0 |
If paul is either not kind or tall then someone is funny or not kind and vice versa. If lucy is not kind or patient then mary is both not tall and not wise. Everyone who is strong or wise is not strong and vice versa. If someone is either not funny or quiet then someone is not patient and vice versa. Everyone who is ta... | Mary is not patient. | neutral | (((~kind(paul)<~>tall(paul)))<=>(?[X]:((funny(X)|~kind(X)))))&
(((~kind(lucy)|patient(lucy)))=>((~tall(mary)&~wise(mary))))&
(![X]:((strong(X)|wise(X))<=>~strong(X)))&
((?[X]:((~funny(X)<~>quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:(tall(X)=>(~kind(X)&patient(X))))&
((?[X]:((~tall(X)|~kind(X))))<=>((tall(paul)|~brave(p... | ~patient(mary) | [] | null | 0 |
Everyone who is brave is either not tall or generous.
Everyone who is not humble or wise is both not wise and not happy and vice versa.
If lucy is creative then alice is both not patient and not calm.
If john is both not humble and strong then paul is either humble or kind.
If john is either not tall or not humble then... | Lucy is not happy. | contradiction | (![X]:(brave(X)=>(~tall(X)<~>generous(X))))&
(![X]:((~humble(X)|wise(X))<=>(~wise(X)&~happy(X))))&
((creative(lucy))=>((~patient(alice)&~calm(alice))))&
(((~humble(john)&strong(john)))=>((humble(paul)<~>kind(paul))))&
(((~tall(john)<~>~humble(john)))=>((kind(susan)<~>tall(susan))))&
((?[X]:((patient(X)&old(X))))<=>(?[X... | ~happy(lucy) | [
"p1",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7783534899636478311620872
% SZS output start Proof for 7783534899636478311620872
2. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (~happy(X0) & ~wise(X0))) [input p1]
8. ! [X0] : (~humble(X0) => creative(X0)) [input p7]
9. ! [X0] : (creative(X0) => (~old(X0) | ~generous(X0))) [input p8]
10. ! [X... | 0 |
Everyone who is not generous is both not creative and brave and vice versa.
If someone is both generous and not funny then someone is humble and vice versa.
If someone is either curious or not old then someone is tall or not creative.
If fred is old then someone is both not old and not curious.
If paul is either funny ... | Alice is not patient. | contradiction | (![X]:(~generous(X)<=>(~creative(X)&brave(X))))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(humble(X))))&
((?[X]:((curious(X)<~>~old(X))))=>(?[X]:((tall(X)|~creative(X)))))&
((old(fred))=>(?[X]:((~old(X)&~curious(X)))))&
(((funny(paul)<~>~kind(paul)))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
(((wise(mary)|~funny(mary)))<=... | ~patient(alice) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 587287146687162004334537
% SZS output start Proof for 587287146687162004334537
12. ! [X0] : (~rich(X0) => ~humble(X0)) [input p11]
14. ! [X0] : (patient(X0) <=> (~humble(X0) | ~strong(X0))) [input p13]
16. ! [X0] : ((~rich(X0) & kind(X0)) <=> (~calm(X0) | ~patient(X0))) [input p15]
25. ~p... | 0 |
Everyone who is not curious is kind.
If someone is quiet or not wise then someone is both not calm and creative and vice versa.
If lucy is not kind then susan is either patient or not creative.
If john is either not patient or not creative then alice is both not rich and rich.
If someone is either creative or not creat... | John is not old. | entailment | (![X]:(~curious(X)=>kind(X)))&
((?[X]:((quiet(X)|~wise(X))))<=>(?[X]:((~calm(X)&creative(X)))))&
((~kind(lucy))=>((patient(susan)<~>~creative(susan))))&
(((~patient(john)<~>~creative(john)))=>((~rich(alice)&rich(alice))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(patient(lucy)))&
(![X]:((~patient(X)|~tall(X))=>(~tall(... | ~old(john) | [
"p8",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5378875333301654829961087
% SZS output start Proof for 5378875333301654829961087
9. ! [X0] : ((~wise(X0) | patient(X0)) <=> ~old(X0)) [input p8]
10. ! [X0] : ((calm(X0) | generous(X0)) <=> (~funny(X0) & wise(X0))) [input p9]
15. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (funny(X0) & ~gene... | 0 |
Everyone who is quiet or generous is not quiet and vice versa.
If someone is not humble then lucy is either old or not creative and vice versa.
If fred is both not kind and not wise then alice is either not curious or not creative.
Everyone who is kind is not kind or humble.
Everyone who is either creative or not quiet... | Alice is calm. | contradiction | (![X]:((quiet(X)|generous(X))<=>~quiet(X)))&
((?[X]:(~humble(X)))<=>((old(lucy)<~>~creative(lucy))))&
(((~kind(fred)&~wise(fred)))=>((~curious(alice)<~>~creative(alice))))&
(![X]:(kind(X)=>(~kind(X)|humble(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(~curious(X)<~>~rich(X))))&
(((patient(fred)&~strong(fred)))=>((~tall(al... | calm(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8583738650606984962416378
% SZS output start Proof for 8583738650606984962416378
10. ? [X0] : (~kind(X0) | kind(X0)) => ~calm(alice) [input p9]
25. calm(alice) [input hypothesis]
37. ~calm(alice) | ! [X0] : (kind(X0) & ~kind(X0)) [ennf transformation 10]
98. ~calm(alice) | ~kind(X0) [cnf ... | 0 |
Everyone who is both not happy and old is not strong.
Everyone who is both not brave and calm is not wise.
If someone is not tall or not quiet then someone is not funny or not rich and vice versa.
Everyone who is both not rich and not brave is strong or curious.
If paul is not curious then john is either rich or humble... | John is wise. | neutral | (![X]:((~happy(X)&old(X))=>~strong(X)))&
(![X]:((~brave(X)&calm(X))=>~wise(X)))&
((?[X]:((~tall(X)|~quiet(X))))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((~rich(X)&~brave(X))=>(strong(X)|curious(X))))&
((~curious(paul))=>((rich(john)<~>humble(john))))&
((?[X]:((~patient(X)&tall(X))))=>(?[X]:((~generous(X)&happy(X)))))&
... | wise(john) | [] | null | 0 |
Everyone who is both generous and not patient is either not tall or not happy.
If fred is either not old or not calm then someone is not quiet or not rich and vice versa.
Everyone who is not creative or not wise is curious or generous and vice versa.
If someone is both patient and brave then alice is calm and vice vers... | Lucy is rich. | entailment | (![X]:((generous(X)&~patient(X))=>(~tall(X)<~>~happy(X))))&
(((~old(fred)<~>~calm(fred)))<=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:((~creative(X)|~wise(X))<=>(curious(X)|generous(X))))&
((?[X]:((patient(X)&brave(X))))<=>(calm(alice)))&
(![X]:(kind(X)<=>~creative(X)))&
(![X]:((strong(X)<~>humble(X))<=>~calm(X)))&
(![X]:(... | rich(lucy) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8349251681689127603368323
% SZS output start Proof for 8349251681689127603368323
2. (~old(fred) <~> ~calm(fred)) <=> ? [X0] : (~rich(X0) | ~quiet(X0)) [input p1]
5. ! [X0] : (kind(X0) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((strong(X0) <~> humble(X0)) <=> ~calm(X0)) [input p5]
7. ! [X0... | 0 |
Everyone who is either not calm or not kind is not creative. Everyone who is not humble or not rich is both patient and not old. If someone is not calm then lucy is not tall or not kind and vice versa. Everyone who is not curious is either not generous or not funny. If someone is either not rich or not tall then paul i... | Fred is not rich. | contradiction | (![X]:((~calm(X)<~>~kind(X))=>~creative(X)))&
(![X]:((~humble(X)|~rich(X))=>(patient(X)&~old(X))))&
((?[X]:(~calm(X)))<=>((~tall(lucy)|~kind(lucy))))&
(![X]:(~curious(X)=>(~generous(X)<~>~funny(X))))&
((?[X]:((~rich(X)<~>~tall(X))))=>((~funny(paul)&kind(paul))))&
((?[X]:((~old(X)&~strong(X))))<=>(?[X]:(~strong(X))))&
(... | ~rich(fred) | [
"p1",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 448044608137557406761488
% SZS output start Proof for 448044608137557406761488
2. ! [X0] : ((~rich(X0) | ~humble(X0)) => (~old(X0) & patient(X0))) [input p1]
7. ! [X0] : (~kind(X0) <=> ~curious(X0)) [input p6]
11. ! [X0] : ((old(X0) | rich(X0)) <=> (strong(X0) | ~curious(X0))) [input p10]... | 0 |
Everyone who is both brave and wise is either not generous or not happy. If alice is happy then fred is either brave or not calm. If alice is either not brave or patient then lucy is tall. If john is creative or calm then someone is not quiet or not patient. If someone is not generous then paul is not quiet. If alice i... | Alice is calm. | contradiction | (![X]:((brave(X)&wise(X))=>(~generous(X)<~>~happy(X))))&
((happy(alice))=>((brave(fred)<~>~calm(fred))))&
(((~brave(alice)<~>patient(alice)))=>(tall(lucy)))&
(((creative(john)|calm(john)))=>(?[X]:((~quiet(X)|~patient(X)))))&
((?[X]:(~generous(X)))=>(~quiet(paul)))&
(((old(alice)|patient(alice)))<=>((~old(paul)&~brave(p... | calm(alice) | [
"p6",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6241603094168155858649063
% SZS output start Proof for 6241603094168155858649063
7. ! [X0] : ((tall(X0) <~> ~calm(X0)) <=> (~brave(X0) & ~creative(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | rich(X0)) => (tall(X0) <~> ~calm(X0))) [input p7]
9. ! [X0] : ((creative(X0) & funny(X0)) <=> (~gen... | 0 |
Everyone who is curious or happy is either calm or funny and vice versa.
Everyone who is not generous or not old is not funny.
Everyone who is either old or curious is not generous or wise and vice versa.
Everyone who is not generous or quiet is both not rich and not generous and vice versa.
If someone is not calm then... | Alice is not funny. | neutral | (![X]:((curious(X)|happy(X))<=>(calm(X)<~>funny(X))))&
(![X]:((~generous(X)|~old(X))=>~funny(X)))&
(![X]:((old(X)<~>curious(X))<=>(~generous(X)|wise(X))))&
(![X]:((~generous(X)|quiet(X))<=>(~rich(X)&~generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~humble(X))))&
(![X]:(~patient(X)<=>(~happy(X)|~creative(X))))&
(((funny(sus... | ~funny(alice) | [] | null | 0 |
If someone is humble then paul is not happy.
If someone is quiet or wise then john is either tall or quiet.
If someone is funny then someone is curious and vice versa.
Everyone who is not quiet or not old is both brave and not curious.
Everyone who is either curious or not wise is both not funny and creative.
If someon... | Lucy is not brave. | entailment | ((?[X]:(humble(X)))=>(~happy(paul)))&
((?[X]:((quiet(X)|wise(X))))=>((tall(john)<~>quiet(john))))&
((?[X]:(funny(X)))<=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)|~old(X))=>(brave(X)&~curious(X))))&
(![X]:((curious(X)<~>~wise(X))=>(~funny(X)&creative(X))))&
((?[X]:((~calm(X)<~>calm(X))))=>((humble(mary)&happy(mary))))&
((... | ~brave(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5554858586079428447876021
% SZS output start Proof for 5554858586079428447876021
23. ~kind(lucy) & ~brave(lucy) [input p22]
25. brave(lucy) [input hypothesis]
126. ~brave(lucy) [cnf transformation 23]
130. brave(lucy) [cnf transformation 25]
292. $false [subsumption resolution 130,126]
% ... | 0 |
Everyone who is not calm is either not curious or not humble and vice versa.
If mary is not rich then someone is curious or not humble.
Everyone who is both not rich and old is both wise and patient.
Everyone who is not happy or old is both not calm and curious and vice versa.
Everyone who is either humble or not gener... | Alice is not tall. | entailment | (![X]:(~calm(X)<=>(~curious(X)<~>~humble(X))))&
((~rich(mary))=>(?[X]:((curious(X)|~humble(X)))))&
(![X]:((~rich(X)&old(X))=>(wise(X)&patient(X))))&
(![X]:((~happy(X)|old(X))<=>(~calm(X)&curious(X))))&
(![X]:((humble(X)<~>~generous(X))=>old(X)))&
((?[X]:((~calm(X)&~quiet(X))))=>(?[X]:((~wise(X)<~>~funny(X)))))&
((?[X]:... | ~tall(alice) | [
"p3",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5812747023930502553350095
% SZS output start Proof for 5812747023930502553350095
4. ! [X0] : ((old(X0) | ~happy(X0)) <=> (curious(X0) & ~calm(X0))) [input p3]
11. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~funny(X0) | ~kind(X0))) [input p10]
13. ! [X0] : ((~wise(X0) | funny(X0)) <=> ~tal... | 0 |
Everyone who is generous is either happy or not strong.
Everyone who is both patient and kind is both humble and patient and vice versa.
Everyone who is either not brave or not rich is both not funny and humble.
If someone is strong then someone is either happy or quiet and vice versa.
Everyone who is not curious is bo... | Fred is kind. | neutral | (![X]:(generous(X)=>(happy(X)<~>~strong(X))))&
(![X]:((patient(X)&kind(X))<=>(humble(X)&patient(X))))&
(![X]:((~brave(X)<~>~rich(X))=>(~funny(X)&humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
(![X]:(~curious(X)=>(brave(X)&funny(X))))&
(![X]:((curious(X)<~>~kind(X))=>(generous(X)<~>~old(X))))&
(![X... | kind(fred) | [] | null | 0 |
If someone is both humble and funny then someone is either not generous or happy.
If someone is calm or not funny then mary is not calm.
If lucy is either not happy or not wise then someone is not strong or not quiet.
Everyone who is both curious and generous is funny or not strong and vice versa.
Everyone who is eithe... | Paul is generous. | entailment | ((?[X]:((humble(X)&funny(X))))=>(?[X]:((~generous(X)<~>happy(X)))))&
((?[X]:((calm(X)|~funny(X))))=>(~calm(mary)))&
(((~happy(lucy)<~>~wise(lucy)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>strong(X))=>(~curious(X)&funny(X))))&
(((~rich(john)|~old(j... | generous(paul) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3160081704494486718884218
% SZS output start Proof for 3160081704494486718884218
4. ! [X0] : ((generous(X0) & curious(X0)) <=> (~strong(X0) | funny(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> strong(X0)) => (funny(X0) & ~curious(X0))) [input p4]
7. ! [X0] : ((old(X0) & ~creative(X0)) <=>... | 0 |
Everyone who is either not funny or strong is not humble and vice versa. If alice is either not humble or generous then someone is not creative and vice versa. If someone is rich or strong then someone is not kind or wise and vice versa. If someone is both quiet and funny then someone is not generous. Everyone who is e... | Paul is wise. | neutral | (![X]:((~funny(X)<~>strong(X))<=>~humble(X)))&
(((~humble(alice)<~>generous(alice)))<=>(?[X]:(~creative(X))))&
((?[X]:((rich(X)|strong(X))))<=>(?[X]:((~kind(X)|wise(X)))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~generous(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>generous(X)))&
((?[X]:((~wise(X)|~strong(X))))<=>((generou... | wise(paul) | [] | null | 0 |
If susan is both wise and calm then someone is either happy or not calm.
Everyone who is generous or not old is both not quiet and not funny.
Everyone who is both not curious and tall is both patient and not kind and vice versa.
Everyone who is both not generous and tall is both not calm and not brave.
If fred is not c... | Fred is not funny. | entailment | (((wise(susan)&calm(susan)))=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((generous(X)|~old(X))=>(~quiet(X)&~funny(X))))&
(![X]:((~curious(X)&tall(X))<=>(patient(X)&~kind(X))))&
(![X]:((~generous(X)&tall(X))=>(~calm(X)&~brave(X))))&
(((~calm(fred)|~kind(fred)))<=>((tall(lucy)&~happy(lucy))))&
(![X]:(~tall(X)=>(strong(X)|ri... | ~funny(fred) | [
"p1",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1898689681493158029389417
% SZS output start Proof for 1898689681493158029389417
2. ! [X0] : ((~old(X0) | generous(X0)) => (~funny(X0) & ~quiet(X0))) [input p1]
10. ! [X0] : ((~calm(X0) | ~generous(X0)) <=> (funny(X0) <~> patient(X0))) [input p9]
14. ! [X0] : ((~funny(X0) & ~curious(X0)) ... | 0 |
Everyone who is humble is not funny or generous and vice versa. Everyone who is tall is both not kind and wise and vice versa. Everyone who is either not strong or kind is both old and not humble. Everyone who is either humble or generous is happy and vice versa. If someone is funny or kind then fred is either not gene... | Lucy is not tall. | neutral | (![X]:(humble(X)<=>(~funny(X)|generous(X))))&
(![X]:(tall(X)<=>(~kind(X)&wise(X))))&
(![X]:((~strong(X)<~>kind(X))=>(old(X)&~humble(X))))&
(![X]:((humble(X)<~>generous(X))<=>happy(X)))&
((?[X]:((funny(X)|kind(X))))<=>((~generous(fred)<~>~humble(fred))))&
(((strong(fred)|~generous(fred)))=>((happy(lucy)|~quiet(lucy))))&... | ~tall(lucy) | [] | null | 0 |
If paul is not funny then susan is either patient or not patient.
Everyone who is strong is not curious or not wise and vice versa.
Everyone who is funny or old is either not quiet or rich and vice versa.
Everyone who is either rich or funny is either not tall or not quiet and vice versa.
Everyone who is kind is funny ... | Susan is not strong. | contradiction | ((~funny(paul))=>((patient(susan)<~>~patient(susan))))&
(![X]:(strong(X)<=>(~curious(X)|~wise(X))))&
(![X]:((funny(X)|old(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((rich(X)<~>funny(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:(kind(X)=>(funny(X)|wise(X))))&
(![X]:((humble(X)|~calm(X))=>(~quiet(X)&strong(X))))&
((?[X]:(patient(X))... | ~strong(susan) | [
"p2",
"p3",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3157149556285512208101567
% SZS output start Proof for 3157149556285512208101567
3. ! [X0] : ((old(X0) | funny(X0)) <=> (~quiet(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (~tall(X0) <~> ~quiet(X0))) [input p3]
6. ! [X0] : ((~calm(X0) | humble(X0)) => (strong(X... | 0 |
If susan is both brave and not creative then john is generous and vice versa.
If someone is both not funny and tall then fred is both patient and tall.
Everyone who is happy is either wise or not kind.
Everyone who is either curious or not wise is not humble and vice versa.
Everyone who is either not kind or not funny ... | Lucy is not tall. | neutral | (((brave(susan)&~creative(susan)))<=>(generous(john)))&
((?[X]:((~funny(X)&tall(X))))=>((patient(fred)&tall(fred))))&
(![X]:(happy(X)=>(wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>~wise(X))<=>~humble(X)))&
(![X]:((~kind(X)<~>~funny(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~kind(X)|~humble(X))<=>(curious(X)&~calm(X))))&
... | ~tall(lucy) | [] | null | 0 |
If someone is not brave or not generous then someone is either generous or not patient.
Everyone who is tall or not calm is either not quiet or strong.
Everyone who is either not rich or not curious is not kind.
Everyone who is not brave or not rich is not calm or not kind.
Everyone who is either humble or not old is n... | Alice is strong. | entailment | ((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((generous(X)<~>~patient(X)))))&
(![X]:((tall(X)|~calm(X))=>(~quiet(X)<~>strong(X))))&
(![X]:((~rich(X)<~>~curious(X))=>~kind(X)))&
(![X]:((~brave(X)|~rich(X))=>(~calm(X)|~kind(X))))&
(![X]:((humble(X)<~>~old(X))<=>~old(X)))&
((?[X]:((creative(X)|strong(X))))=>(?[X]:((brave(X)|... | strong(alice) | [
"p3",
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9115625024942372950589761
% SZS output start Proof for 9115625024942372950589761
4. ! [X0] : ((~rich(X0) | ~brave(X0)) => (~kind(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((~wise(X0) & ~calm(X0)) => strong(X0)) [input p6]
11. ! [X0] : ((~rich(X0) | calm(X0)) => (~brave(X0) & ~quiet(X0))) [... | 0 |
Everyone who is either patient or rich is either patient or curious. Everyone who is not generous or patient is not tall. Everyone who is either not curious or not old is both not generous and wise and vice versa. If susan is either not wise or patient then someone is either not rich or not generous. Everyone who is bo... | Susan is not kind. | neutral | (![X]:((patient(X)<~>rich(X))=>(patient(X)<~>curious(X))))&
(![X]:((~generous(X)|patient(X))=>~tall(X)))&
(![X]:((~curious(X)<~>~old(X))<=>(~generous(X)&wise(X))))&
(((~wise(susan)<~>patient(susan)))=>(?[X]:((~rich(X)<~>~generous(X)))))&
(![X]:((creative(X)&~kind(X))<=>(wise(X)|~old(X))))&
(![X]:((~generous(X)<~>~calm(... | ~kind(susan) | [] | null | 0 |
Everyone who is patient is both calm and creative and vice versa.
Everyone who is either brave or wise is both generous and not old and vice versa.
Everyone who is kind or not creative is not wise.
If someone is both curious and brave then alice is either not patient or not quiet and vice versa.
If someone is kind then... | Alice is kind. | neutral | (![X]:(patient(X)<=>(calm(X)&creative(X))))&
(![X]:((brave(X)<~>wise(X))<=>(generous(X)&~old(X))))&
(![X]:((kind(X)|~creative(X))=>~wise(X)))&
((?[X]:((curious(X)&brave(X))))<=>((~patient(alice)<~>~quiet(alice))))&
((?[X]:(kind(X)))=>(?[X]:((~strong(X)&kind(X)))))&
(((funny(paul)&generous(paul)))<=>(?[X]:((brave(X)&~ki... | kind(alice) | [] | null | 0 |
If fred is not creative or not patient then alice is rich. If mary is not funny or not curious then someone is either not quiet or generous. If john is curious or not humble then someone is both not happy and not wise. Everyone who is wise is either not rich or not brave. Everyone who is funny or not generous is both f... | Mary is wise. | contradiction | (((~creative(fred)|~patient(fred)))=>(rich(alice)))&
(((~funny(mary)|~curious(mary)))=>(?[X]:((~quiet(X)<~>generous(X)))))&
(((curious(john)|~humble(john)))=>(?[X]:((~happy(X)&~wise(X)))))&
(![X]:(wise(X)=>(~rich(X)<~>~brave(X))))&
(![X]:((funny(X)|~generous(X))=>(funny(X)&generous(X))))&
(![X]:((old(X)&~old(X))=>(~old... | wise(mary) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 139272648694767748644213
% SZS output start Proof for 139272648694767748644213
5. ! [X0] : ((~generous(X0) | funny(X0)) => (generous(X0) & funny(X0))) [input p4]
14. ! [X0] : (wise(X0) <=> ~generous(X0)) [input p13]
22. wise(mary) [input hypothesis]
29. ! [X0] : ((generous(X0) & funny(X0)... | 0 |
Everyone who is either not kind or not brave is either happy or not wise and vice versa. If someone is both not kind and not happy then lucy is kind or not creative and vice versa. Everyone who is either wise or kind is not old or not funny. Everyone who is not creative or not happy is generous. Everyone who is either ... | Lucy is rich. | contradiction | (![X]:((~kind(X)<~>~brave(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((kind(lucy)|~creative(lucy))))&
(![X]:((wise(X)<~>kind(X))=>(~old(X)|~funny(X))))&
(![X]:((~creative(X)|~happy(X))=>generous(X)))&
(![X]:((humble(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(![X]:((patient(X)|~generous(X))=>rich(X... | rich(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 305095898791037651307637
% SZS output start Proof for 305095898791037651307637
7. ! [X0] : ((generous(X0) <~> rich(X0)) <=> generous(X0)) [input p6]
23. rich(lucy) [input hypothesis]
46. ! [X0] : ((((~rich(X0) | ~generous(X0)) & (rich(X0) | generous(X0))) | ~generous(X0)) & (generous(X0) ... | 0 |
Everyone who is not rich is either quiet or not calm and vice versa. If someone is not happy then alice is both old and not brave and vice versa. Everyone who is rich is not old or not curious. Everyone who is both old and funny is either funny or humble. If someone is both tall and not patient then paul is either tall... | Alice is not curious. | entailment | (![X]:(~rich(X)<=>(quiet(X)<~>~calm(X))))&
((?[X]:(~happy(X)))<=>((old(alice)&~brave(alice))))&
(![X]:(rich(X)=>(~old(X)|~curious(X))))&
(![X]:((old(X)&funny(X))=>(funny(X)<~>humble(X))))&
((?[X]:((tall(X)&~patient(X))))=>((tall(paul)<~>funny(paul))))&
(![X]:((~creative(X)|~humble(X))=>rich(X)))&
((?[X]:((~calm(X)<~>ca... | ~curious(alice) | [
"p1",
"p2",
"p5",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7046781993994222504311520
% SZS output start Proof for 7046781993994222504311520
2. ? [X0] : ~happy(X0) <=> (~brave(alice) & old(alice)) [input p1]
3. ! [X0] : (rich(X0) => (~curious(X0) | ~old(X0))) [input p2]
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => rich(X0)) [input p5]
19. ~quiet(... | 0 |
If paul is patient or not generous then susan is either generous or not tall.
If someone is both not quiet and brave then someone is either not generous or brave.
If someone is generous then someone is not brave.
Everyone who is either wise or not creative is not humble or kind and vice versa.
If lucy is either happy o... | Mary is brave. | neutral | (((patient(paul)|~generous(paul)))=>((generous(susan)<~>~tall(susan))))&
((?[X]:((~quiet(X)&brave(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:(generous(X)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>~creative(X))<=>(~humble(X)|kind(X))))&
(((happy(lucy)<~>~happy(lucy)))<=>((humble(john)|strong(john))))&
(![X]:(~ri... | brave(mary) | [] | null | 0 |
Everyone who is calm or wise is not creative.
Everyone who is not patient is both generous and not humble.
Everyone who is rich is either creative or not quiet.
Everyone who is either not patient or not funny is both not curious and funny and vice versa.
Everyone who is not curious or patient is not kind or curious.
If... | Fred is not quiet. | entailment | (![X]:((calm(X)|wise(X))=>~creative(X)))&
(![X]:(~patient(X)=>(generous(X)&~humble(X))))&
(![X]:(rich(X)=>(creative(X)<~>~quiet(X))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~curious(X)&funny(X))))&
(![X]:((~curious(X)|patient(X))=>(~kind(X)|curious(X))))&
(((quiet(lucy)<~>humble(lucy)))<=>(~rich(paul)))&
(![X]:((brave(X)... | ~quiet(fred) | [
"p0",
"p3",
"p9",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8091771573650061973964325
% SZS output start Proof for 8091771573650061973964325
1. ! [X0] : ((wise(X0) | calm(X0)) => ~creative(X0)) [input p0]
4. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (funny(X0) & ~curious(X0))) [input p3]
10. ! [X0] : ((quiet(X0) & ~funny(X0)) => (~old(X0) | rich... | 0 |
Everyone who is not strong is not strong or quiet.
Everyone who is generous is both not happy and not brave.
If lucy is either not patient or wise then someone is not generous.
If someone is strong then someone is either not funny or not creative.
Everyone who is both not patient and calm is either humble or not strong... | John is wise. | contradiction | (![X]:(~strong(X)=>(~strong(X)|quiet(X))))&
(![X]:(generous(X)=>(~happy(X)&~brave(X))))&
(((~patient(lucy)<~>wise(lucy)))=>(?[X]:(~generous(X))))&
((?[X]:(strong(X)))=>(?[X]:((~funny(X)<~>~creative(X)))))&
(![X]:((~patient(X)&calm(X))=>(humble(X)<~>~strong(X))))&
(![X]:((~rich(X)|~quiet(X))<=>generous(X)))&
((?[X]:((hu... | wise(john) | [
"p1",
"p5",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 237281792606881531655227
% SZS output start Proof for 237281792606881531655227
2. ! [X0] : (generous(X0) => (~brave(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> generous(X0)) [input p5]
9. ! [X0] : (~patient(X0) <=> (~strong(X0) & happy(X0))) [input p8]
15. ! [X... | 0 |
Everyone who is both generous and not patient is both happy and not wise.
If john is both not generous and happy then someone is both rich and tall and vice versa.
Everyone who is brave or quiet is both not funny and not tall.
Everyone who is both strong and not patient is both not funny and patient and vice versa.
If ... | Alice is wise. | neutral | (![X]:((generous(X)&~patient(X))=>(happy(X)&~wise(X))))&
(((~generous(john)&happy(john)))<=>(?[X]:((rich(X)&tall(X)))))&
(![X]:((brave(X)|quiet(X))=>(~funny(X)&~tall(X))))&
(![X]:((strong(X)&~patient(X))<=>(~funny(X)&patient(X))))&
(((brave(fred)|~funny(fred)))=>(?[X]:(~patient(X))))&
(((humble(fred)&~creative(fred)))<... | wise(alice) | [] | null | 0 |
Everyone who is not kind or not wise is either not curious or calm and vice versa. Everyone who is either quiet or not wise is humble or not wise and vice versa. If susan is not generous then someone is funny or patient. Everyone who is either brave or tall is not wise. If someone is both not quiet and quiet then paul ... | Lucy is calm. | contradiction | (![X]:((~kind(X)|~wise(X))<=>(~curious(X)<~>calm(X))))&
(![X]:((quiet(X)<~>~wise(X))<=>(humble(X)|~wise(X))))&
((~generous(susan))=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((brave(X)<~>tall(X))=>~wise(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(~tall(paul)))&
(((~funny(lucy)|~tall(lucy)))<=>(?[X]:((generous(X)|~calm(X)))))&
... | calm(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 548729430294742544501953
% SZS output start Proof for 548729430294742544501953
16. ! [X0] : ((funny(X0) & ~funny(X0)) <=> calm(X0)) [input p15]
25. calm(lucy) [input hypothesis]
69. ! [X0] : (((funny(X0) & ~funny(X0)) | ~calm(X0)) & (calm(X0) | (~funny(X0) | funny(X0)))) [nnf transformati... | 0 |
If john is both not kind and not creative then susan is not patient or strong. If someone is not old then someone is both humble and generous. Everyone who is either not quiet or tall is either not wise or calm. If susan is either not creative or not patient then susan is curious or not funny and vice versa. Everyone w... | Lucy is generous. | neutral | (((~kind(john)&~creative(john)))=>((~patient(susan)|strong(susan))))&
((?[X]:(~old(X)))=>(?[X]:((humble(X)&generous(X)))))&
(![X]:((~quiet(X)<~>tall(X))=>(~wise(X)<~>calm(X))))&
(((~creative(susan)<~>~patient(susan)))<=>((curious(susan)|~funny(susan))))&
(![X]:((~tall(X)&~strong(X))<=>(calm(X)<~>happy(X))))&
((brave(pa... | generous(lucy) | [] | null | 0 |
Everyone who is either calm or not wise is not creative and vice versa. Everyone who is both not generous and calm is either not wise or not funny. Everyone who is both not quiet and patient is both wise and not funny. Everyone who is not strong is not curious or patient and vice versa. If paul is both not quiet and no... | Lucy is not generous. | neutral | (![X]:((calm(X)<~>~wise(X))<=>~creative(X)))&
(![X]:((~generous(X)&calm(X))=>(~wise(X)<~>~funny(X))))&
(![X]:((~quiet(X)&patient(X))=>(wise(X)&~funny(X))))&
(![X]:(~strong(X)<=>(~curious(X)|patient(X))))&
(((~quiet(paul)&~patient(paul)))<=>(?[X]:((~wise(X)&wise(X)))))&
(![X]:((~brave(X)&brave(X))<=>(kind(X)&quiet(X))))... | ~generous(lucy) | [] | null | 0 |
Everyone who is patient or not kind is not funny or not humble and vice versa. Everyone who is both not calm and not patient is both generous and tall. Everyone who is curious is rich. If paul is both kind and not wise then mary is both not strong and generous and vice versa. Everyone who is not happy or brave is eithe... | John is not happy. | contradiction | (![X]:((patient(X)|~kind(X))<=>(~funny(X)|~humble(X))))&
(![X]:((~calm(X)&~patient(X))=>(generous(X)&tall(X))))&
(![X]:(curious(X)=>rich(X)))&
(((kind(paul)&~wise(paul)))<=>((~strong(mary)&generous(mary))))&
(![X]:((~happy(X)|brave(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~old(X)|strong(X))<=>(creative(X)&curious(X))))&
(... | ~happy(john) | [
"p2",
"p4",
"p5",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1095343351967514327530383
% SZS output start Proof for 1095343351967514327530383
3. ! [X0] : (curious(X0) => rich(X0)) [input p2]
5. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (~rich(X0) <~> tall(X0))) [input p4]
6. ! [X0] : ((strong(X0) | ~old(X0)) <=> (curious(X0) & creative(X0))) [input p5... | 0 |
Everyone who is either happy or quiet is either not old or not tall and vice versa. Everyone who is both wise and happy is happy or funny and vice versa. If someone is calm or curious then fred is both wise and not creative. If susan is creative then someone is generous. If someone is either strong or not patient then ... | Alice is creative. | neutral | (![X]:((happy(X)<~>quiet(X))<=>(~old(X)<~>~tall(X))))&
(![X]:((wise(X)&happy(X))<=>(happy(X)|funny(X))))&
((?[X]:((calm(X)|curious(X))))=>((wise(fred)&~creative(fred))))&
((creative(susan))=>(?[X]:(generous(X))))&
((?[X]:((strong(X)<~>~patient(X))))<=>((~tall(lucy)<~>~rich(lucy))))&
(![X]:((~brave(X)|curious(X))<=>(~st... | creative(alice) | [] | null | 0 |
If john is not funny then someone is funny or rich.
Everyone who is either curious or generous is tall.
Everyone who is either not quiet or not calm is quiet or not curious and vice versa.
If john is generous then someone is not funny or wise.
Everyone who is both brave and not old is either not humble or kind.
Everyon... | Lucy is strong. | neutral | ((~funny(john))=>(?[X]:((funny(X)|rich(X)))))&
(![X]:((curious(X)<~>generous(X))=>tall(X)))&
(![X]:((~quiet(X)<~>~calm(X))<=>(quiet(X)|~curious(X))))&
((generous(john))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:((brave(X)&~old(X))=>(~humble(X)<~>kind(X))))&
(![X]:((patient(X)&~brave(X))=>(~funny(X)&happy(X))))&
((?[X]:((~c... | strong(lucy) | [] | null | 0 |
Everyone who is wise or humble is not humble or not curious and vice versa.
If someone is both kind and quiet then someone is patient and vice versa.
If john is not rich then someone is both not kind and not happy.
Everyone who is not calm or not creative is curious or funny.
Everyone who is funny is both not strong an... | Fred is not wise. | contradiction | (![X]:((wise(X)|humble(X))<=>(~humble(X)|~curious(X))))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:(patient(X))))&
((~rich(john))=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((~calm(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:(funny(X)=>(~strong(X)&quiet(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(rich(X))))&
(![X]:((~funny(... | ~wise(fred) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p12",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2600374970640310976603471
% SZS output start Proof for 2600374970640310976603471
1. ! [X0] : ((humble(X0) | wise(X0)) <=> (~curious(X0) | ~humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & kind(X0)) <=> ? [X0] : patient(X0) [input p1]
4. ! [X0] : ((~creative(X0) | ~calm(X0)) => (funny(X0) ... | 0 |
Everyone who is either funny or not old is both rich and not patient and vice versa.
Everyone who is old or not curious is not curious and vice versa.
If someone is either not calm or not wise then fred is funny or old and vice versa.
Everyone who is rich is not brave or not strong.
Everyone who is not creative or tall... | Mary is not patient. | neutral | (![X]:((funny(X)<~>~old(X))<=>(rich(X)&~patient(X))))&
(![X]:((old(X)|~curious(X))<=>~curious(X)))&
((?[X]:((~calm(X)<~>~wise(X))))<=>((funny(fred)|old(fred))))&
(![X]:(rich(X)=>(~brave(X)|~strong(X))))&
(![X]:((~creative(X)|tall(X))<=>humble(X)))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
... | ~patient(mary) | [] | null | 0 |
Everyone who is both not happy and tall is generous or not creative. If someone is not old then fred is not calm and vice versa. Everyone who is not brave or old is either tall or quiet. Everyone who is not humble is both not strong and curious. Everyone who is curious is old or quiet. If susan is both not generous and... | Alice is not tall. | contradiction | (![X]:((~happy(X)&tall(X))=>(generous(X)|~creative(X))))&
((?[X]:(~old(X)))<=>(~calm(fred)))&
(![X]:((~brave(X)|old(X))=>(tall(X)<~>quiet(X))))&
(![X]:(~humble(X)=>(~strong(X)&curious(X))))&
(![X]:(curious(X)=>(old(X)|quiet(X))))&
(((~generous(susan)&generous(susan)))<=>((~humble(mary)&~quiet(mary))))&
(![X]:((~strong(... | ~tall(alice) | [
"p2",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 393041367295308829488366
% SZS output start Proof for 393041367295308829488366
3. ! [X0] : ((old(X0) | ~brave(X0)) => (tall(X0) <~> quiet(X0))) [input p2]
11. ! [X0] : (brave(X0) <=> quiet(X0)) [input p10]
23. ~brave(alice) [input p22]
25. ~tall(alice) [input hypothesis]
30. ! [X0] : ((ta... | 0 |
Everyone who is either wise or not happy is either humble or quiet. If someone is both not wise and not creative then john is not rich and vice versa. If someone is kind then paul is either old or not curious. If john is not funny then lucy is not brave or not humble and vice versa. Everyone who is both wise and quiet ... | John is rich. | entailment | (![X]:((wise(X)<~>~happy(X))=>(humble(X)<~>quiet(X))))&
((?[X]:((~wise(X)&~creative(X))))<=>(~rich(john)))&
((?[X]:(kind(X)))=>((old(paul)<~>~curious(paul))))&
((~funny(john))<=>((~brave(lucy)|~humble(lucy))))&
(![X]:((wise(X)&quiet(X))<=>~wise(X)))&
(![X]:((curious(X)|strong(X))<=>old(X)))&
((?[X]:((strong(X)&calm(X))... | rich(john) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2026776336199501260724495
% SZS output start Proof for 2026776336199501260724495
2. ? [X0] : (~creative(X0) & ~wise(X0)) <=> ~rich(john) [input p1]
5. ! [X0] : ((quiet(X0) & wise(X0)) <=> ~wise(X0)) [input p4]
20. ~rich(john) [input hypothesis]
35. (? [X0] : (~creative(X0) & ~wise(X0)) | ... | 0 |
If someone is brave or patient then someone is not strong or not wise and vice versa. Everyone who is not curious is not funny or tall and vice versa. Everyone who is not generous or funny is not funny and vice versa. Everyone who is both not patient and brave is either rich or not tall and vice versa. If someone is bo... | John is funny. | contradiction | ((?[X]:((brave(X)|patient(X))))<=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:(~curious(X)<=>(~funny(X)|tall(X))))&
(![X]:((~generous(X)|funny(X))<=>~funny(X)))&
(![X]:((~patient(X)&brave(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((~wise(X)&funny(X))))=>((~quiet(paul)|quiet(paul))))&
((?[X]:((~creative(X)|~brave(X))))=>((strong(... | funny(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 904875757479972338358753
% SZS output start Proof for 904875757479972338358753
3. ! [X0] : ((funny(X0) | ~generous(X0)) <=> ~funny(X0)) [input p2]
24. funny(john) [input hypothesis]
44. ! [X0] : (((funny(X0) | ~generous(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) & generous(X0)))) [nnf ... | 0 |
Everyone who is both not humble and happy is strong or not brave.
If someone is both not patient and not happy then someone is both not funny and not tall and vice versa.
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or ... | Lucy is humble. | neutral | (![X]:((~humble(X)&happy(X))=>(strong(X)|~brave(X))))&
((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patien... | humble(lucy) | [] | null | 0 |
Everyone who is kind or creative is humble.
Everyone who is wise is rich or not curious.
Everyone who is not humble or humble is both not humble and not creative.
Everyone who is not funny is not old or not rich and vice versa.
If someone is both rich and tall then paul is either old or patient.
If susan is either brav... | Paul is old. | contradiction | (![X]:((kind(X)|creative(X))=>humble(X)))&
(![X]:(wise(X)=>(rich(X)|~curious(X))))&
(![X]:((~humble(X)|humble(X))=>(~humble(X)&~creative(X))))&
(![X]:(~funny(X)<=>(~old(X)|~rich(X))))&
((?[X]:((rich(X)&tall(X))))=>((old(paul)<~>patient(paul))))&
(((brave(susan)<~>~funny(susan)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(... | old(paul) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 976613482213424946152311
% SZS output start Proof for 976613482213424946152311
1. ! [X0] : ((creative(X0) | kind(X0)) => humble(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~humble(X0)) => (~creative(X0) & ~humble(X0))) [input p2]
4. ! [X0] : (~funny(X0) <=> (~rich(X0) | ~old(X0))) [input p... | 0 |
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