premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not quiet or wise then someone is not old or strong.
If someone is not tall or not rich then paul is patient or not humble and vice versa.
Everyone who is either brave or not humble is brave or rich and vice versa.
Everyone who is strong or not kind is not curious or not rich and vice versa.
Everyo... | John is not wise. | neutral | ((?[X]:((~quiet(X)<~>wise(X))))=>(?[X]:((~old(X)|strong(X)))))&
((?[X]:((~tall(X)|~rich(X))))<=>((patient(paul)|~humble(paul))))&
(![X]:((brave(X)<~>~humble(X))<=>(brave(X)|rich(X))))&
(![X]:((strong(X)|~kind(X))<=>(~curious(X)|~rich(X))))&
(![X]:((brave(X)&old(X))<=>(old(X)<~>~quiet(X))))&
(((~old(fred)<~>~calm(fred))... | ~wise(john) | [] | null | 0 |
If someone is curious or not funny then alice is not strong and vice versa.
Everyone who is patient is both strong and kind.
If mary is both generous and kind then someone is not funny or generous and vice versa.
Everyone who is both not wise and not creative is either not brave or happy and vice versa.
If someone is g... | Paul is patient. | neutral | ((?[X]:((curious(X)|~funny(X))))<=>(~strong(alice)))&
(![X]:(patient(X)=>(strong(X)&kind(X))))&
(((generous(mary)&kind(mary)))<=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:((~wise(X)&~creative(X))<=>(~brave(X)<~>happy(X))))&
((?[X]:(generous(X)))=>(~funny(mary)))&
((?[X]:((happy(X)<~>~generous(X))))<=>(?[X]:((~funny(X)|c... | patient(paul) | [] | null | 0 |
If someone is either kind or not generous then paul is either not funny or happy and vice versa. If someone is either not creative or not generous then someone is either creative or funny and vice versa. Everyone who is both creative and not funny is not curious or not quiet and vice versa. If someone is either not kin... | Paul is not happy. | contradiction | ((?[X]:((kind(X)<~>~generous(X))))<=>((~funny(paul)<~>happy(paul))))&
((?[X]:((~creative(X)<~>~generous(X))))<=>(?[X]:((creative(X)<~>funny(X)))))&
(![X]:((creative(X)&~funny(X))<=>(~curious(X)|~quiet(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quiet(john))))&
(![X]:(~creative(X)=>(~quiet(X)&~humble(X)))... | ~happy(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6063275224107186932751219
% SZS output start Proof for 6063275224107186932751219
1. ? [X0] : (kind(X0) <~> ~generous(X0)) <=> (~funny(paul) <~> happy(paul)) [input p0]
2. ? [X0] : (~creative(X0) <~> ~generous(X0)) <=> ? [X0] : (creative(X0) <~> funny(X0)) [input p1]
3. ! [X0] : ((~funny(X... | 0 |
Everyone who is both not generous and calm is patient or strong and vice versa.
Everyone who is both strong and calm is rich or tall.
If john is either not creative or not brave then someone is either not patient or not brave.
If paul is either not brave or not rich then someone is not calm or not rich and vice versa.
... | Lucy is quiet. | entailment | (![X]:((~generous(X)&calm(X))<=>(patient(X)|strong(X))))&
(![X]:((strong(X)&calm(X))=>(rich(X)|tall(X))))&
(((~creative(john)<~>~brave(john)))=>(?[X]:((~patient(X)<~>~brave(X)))))&
(((~brave(paul)<~>~rich(paul)))<=>(?[X]:((~calm(X)|~rich(X)))))&
(![X]:((kind(X)&~creative(X))<=>~funny(X)))&
(![X]:((tall(X)<~>kind(X))=>~... | quiet(lucy) | [
"p0",
"p1",
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 833460544611239951492558
% SZS output start Proof for 833460544611239951492558
1. ! [X0] : ((calm(X0) & ~generous(X0)) <=> (strong(X0) | patient(X0))) [input p0]
2. ! [X0] : ((calm(X0) & strong(X0)) => (tall(X0) | rich(X0))) [input p1]
7. ? [X0] : (calm(X0) <~> rich(X0)) => ? [X0] : (~old... | 0 |
Everyone who is both curious and happy is strong or brave and vice versa.
Everyone who is both not strong and rich is calm or old and vice versa.
If someone is either not kind or rich then fred is wise and vice versa.
Everyone who is either generous or not calm is both patient and funny.
Everyone who is not brave is no... | John is old. | contradiction | (![X]:((curious(X)&happy(X))<=>(strong(X)|brave(X))))&
(![X]:((~strong(X)&rich(X))<=>(calm(X)|old(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(wise(fred)))&
(![X]:((generous(X)<~>~calm(X))=>(patient(X)&funny(X))))&
(![X]:(~brave(X)<=>(~wise(X)|rich(X))))&
(((funny(susan)|humble(susan)))=>((curious(paul)<~>strong(paul))))&
... | old(john) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7286092439316891976154181
% SZS output start Proof for 7286092439316891976154181
2. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (old(X0) | calm(X0))) [input p1]
5. ! [X0] : (~brave(X0) <=> (rich(X0) | ~wise(X0))) [input p4]
8. ! [X0] : (rich(X0) => (brave(X0) & humble(X0))) [input p7]
25. old(... | 0 |
Everyone who is both rich and calm is not patient or not generous and vice versa. If someone is both tall and not happy then someone is not old and vice versa. Everyone who is either generous or not wise is both quiet and not tall. If someone is either not rich or patient then paul is both not wise and creative. Everyo... | Alice is not creative. | contradiction | (![X]:((rich(X)&calm(X))<=>(~patient(X)|~generous(X))))&
((?[X]:((tall(X)&~happy(X))))<=>(?[X]:(~old(X))))&
(![X]:((generous(X)<~>~wise(X))=>(quiet(X)&~tall(X))))&
((?[X]:((~rich(X)<~>patient(X))))=>((~wise(paul)&creative(paul))))&
(![X]:((generous(X)|~brave(X))<=>(~curious(X)&calm(X))))&
((?[X]:((~kind(X)&~humble(X)))... | ~creative(alice) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6610070055569205029850975
% SZS output start Proof for 6610070055569205029850975
11. ! [X0] : ((~creative(X0) <~> wise(X0)) <=> (wise(X0) | ~tall(X0))) [input p10]
13. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> ~tall(X0))) [input p12]
25. ~creative(alice) [input hypothesis]
64. ! [X0]... | 0 |
If mary is either wise or old then someone is creative and vice versa. If susan is both generous and wise then someone is not happy or not brave and vice versa. Everyone who is old is not funny or not creative and vice versa. If fred is either generous or tall then someone is calm. Everyone who is both brave and funny ... | Lucy is not kind. | contradiction | (((wise(mary)<~>old(mary)))<=>(?[X]:(creative(X))))&
(((generous(susan)&wise(susan)))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(old(X)<=>(~funny(X)|~creative(X))))&
(((generous(fred)<~>tall(fred)))=>(?[X]:(calm(X))))&
(![X]:((brave(X)&funny(X))<=>old(X)))&
(((old(fred)<~>~creative(fred)))<=>((quiet(susan)|old(susan))))... | ~kind(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1912736334068696765734911
% SZS output start Proof for 1912736334068696765734911
16. kind(lucy) & rich(lucy) [input p15]
22. ~kind(lucy) [input hypothesis]
115. kind(lucy) [cnf transformation 16]
123. ~kind(lucy) [cnf transformation 22]
278. $false [subsumption resolution 123,115]
% SZS o... | 0 |
Everyone who is generous or not patient is humble or old and vice versa.
Everyone who is both quiet and not funny is both not kind and not old.
If someone is both not old and not strong then someone is either not generous or brave.
Everyone who is both not quiet and not happy is not tall and vice versa.
If someone is e... | John is not rich. | contradiction | (![X]:((generous(X)|~patient(X))<=>(humble(X)|old(X))))&
(![X]:((quiet(X)&~funny(X))=>(~kind(X)&~old(X))))&
((?[X]:((~old(X)&~strong(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
(![X]:((~quiet(X)&~happy(X))<=>~tall(X)))&
((?[X]:((~happy(X)<~>~strong(X))))<=>(?[X]:((patient(X)|~rich(X)))))&
((?[X]:(kind(X)))=>((tall(paul... | ~rich(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6140739745113830713725126
% SZS output start Proof for 6140739745113830713725126
12. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> rich(X0)) [input p11]
25. ~rich(john) [input hypothesis]
62. ! [X0] : (((~rich(X0) | ~kind(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) & kind(X0)))) [nnf transformation... | 0 |
If someone is kind or not brave then someone is humble or not calm.
Everyone who is not generous is not funny.
If someone is funny then mary is either not kind or creative and vice versa.
Everyone who is creative or kind is both not curious and quiet.
Everyone who is strong or not curious is kind and vice versa.
Everyo... | Susan is not funny. | contradiction | ((?[X]:((kind(X)|~brave(X))))=>(?[X]:((humble(X)|~calm(X)))))&
(![X]:(~generous(X)=>~funny(X)))&
((?[X]:(funny(X)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((creative(X)|kind(X))=>(~curious(X)&quiet(X))))&
(![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:((~brave(X)|~creative(X))<=>(~old(X)|quiet(X))))&
(![X]:((old... | ~funny(susan) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 355945335600463847996126
% SZS output start Proof for 355945335600463847996126
4. ! [X0] : ((kind(X0) | creative(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p4]
6. ! [X0] : ((~creative(X0) | ~brave(X0)) <=> (quiet(X0) | ~old... | 0 |
Everyone who is both wise and not patient is not kind or not brave and vice versa.
If someone is both generous and creative then fred is either not old or not funny.
Everyone who is patient is either strong or generous.
Everyone who is both curious and patient is both wise and patient and vice versa.
Everyone who is br... | Susan is tall. | contradiction | (![X]:((wise(X)&~patient(X))<=>(~kind(X)|~brave(X))))&
((?[X]:((generous(X)&creative(X))))=>((~old(fred)<~>~funny(fred))))&
(![X]:(patient(X)=>(strong(X)<~>generous(X))))&
(![X]:((curious(X)&patient(X))<=>(wise(X)&patient(X))))&
(![X]:(brave(X)=>(old(X)<~>~generous(X))))&
((?[X]:(brave(X)))<=>((generous(susan)&~wise(su... | tall(susan) | [
"p3",
"p5",
"p6",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 625873317807622177196534
% SZS output start Proof for 625873317807622177196534
4. ! [X0] : ((patient(X0) & curious(X0)) <=> (patient(X0) & wise(X0))) [input p3]
6. ? [X0] : brave(X0) <=> (~wise(susan) & generous(susan)) [input p5]
7. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~wise(X0) ... | 0 |
If mary is not patient or not rich then susan is wise and vice versa. If someone is wise then mary is not wise and vice versa. If someone is creative then someone is not tall and vice versa. Everyone who is not kind or not funny is brave or not calm and vice versa. Everyone who is both happy and not tall is not old. Ev... | Susan is patient. | contradiction | (((~patient(mary)|~rich(mary)))<=>(wise(susan)))&
((?[X]:(wise(X)))<=>(~wise(mary)))&
((?[X]:(creative(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~kind(X)|~funny(X))<=>(brave(X)|~calm(X))))&
(![X]:((happy(X)&~tall(X))=>~old(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(patient(X)|~humble(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))... | patient(susan) | [
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8343739906876509358571243
% SZS output start Proof for 8343739906876509358571243
6. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~humble(X0) | patient(X0))) [input p5]
7. ! [X0] : ((happy(X0) & ~calm(X0)) => rich(X0)) [input p6]
9. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> (~brave(X0) <~> st... | 0 |
Everyone who is curious or strong is not rich and vice versa.
Everyone who is either not old or quiet is not generous.
If john is not curious then lucy is brave or quiet.
If someone is not quiet or wise then someone is both tall and rich and vice versa.
Everyone who is both quiet and brave is both not kind and not tall... | Mary is rich. | contradiction | (![X]:((curious(X)|strong(X))<=>~rich(X)))&
(![X]:((~old(X)<~>quiet(X))=>~generous(X)))&
((~curious(john))=>((brave(lucy)|quiet(lucy))))&
((?[X]:((~quiet(X)|wise(X))))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((quiet(X)&brave(X))=>(~kind(X)&~tall(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)<~>~curious(X)))))&
((?[X]:(ric... | rich(mary) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3689621920136478229528252
% SZS output start Proof for 3689621920136478229528252
7. ? [X0] : rich(X0) => curious(susan) [input p6]
20. ~curious(susan) [input p19]
25. rich(mary) [input hypothesis]
34. curious(susan) | ! [X0] : ~rich(X0) [ennf transformation 7]
100. curious(susan) | ~rich(... | 0 |
If someone is either old or not happy then someone is rich or happy and vice versa. If mary is either rich or not old then someone is funny or not calm. If someone is strong or not quiet then someone is either generous or strong. If susan is curious or not quiet then someone is both tall and curious. If someone is both... | Susan is not wise. | entailment | ((?[X]:((old(X)<~>~happy(X))))<=>(?[X]:((rich(X)|happy(X)))))&
(((rich(mary)<~>~old(mary)))=>(?[X]:((funny(X)|~calm(X)))))&
((?[X]:((strong(X)|~quiet(X))))=>(?[X]:((generous(X)<~>strong(X)))))&
(((curious(susan)|~quiet(susan)))=>(?[X]:((tall(X)&curious(X)))))&
((?[X]:((~curious(X)&funny(X))))=>(?[X]:((generous(X)&patie... | ~wise(susan) | [
"p10",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1704528488682763948351152
% SZS output start Proof for 1704528488682763948351152
11. ! [X0] : ((tall(X0) <~> wise(X0)) <=> (creative(X0) & strong(X0))) [input p10]
13. ! [X0] : ((tall(X0) | humble(X0)) <=> (~tall(X0) & curious(X0))) [input p12]
23. ~creative(susan) [input p22]
24. wise(su... | 0 |
Everyone who is either not curious or quiet is not kind and vice versa.
Everyone who is either kind or tall is either wise or not humble and vice versa.
If susan is not strong then someone is either tall or not rich and vice versa.
Everyone who is both not strong and not patient is patient and vice versa.
Everyone who ... | Susan is curious. | entailment | (![X]:((~curious(X)<~>quiet(X))<=>~kind(X)))&
(![X]:((kind(X)<~>tall(X))<=>(wise(X)<~>~humble(X))))&
((~strong(susan))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((~strong(X)&~patient(X))<=>patient(X)))&
(![X]:((~brave(X)<~>old(X))=>(~happy(X)|~strong(X))))&
((?[X]:((~humble(X)|humble(X))))=>(?[X]:((~happy(X)&~calm(X)))))... | curious(susan) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 405128989509405524223574
% SZS output start Proof for 405128989509405524223574
8. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> curious(X0)) [input p7]
16. ! [X0] : ((~tall(X0) | rich(X0)) <=> (~rich(X0) & ~strong(X0))) [input p15]
23. ~curious(susan) [input hypothesis]
51. ! [X0] : (((~happy(X0... | 0 |
If someone is either not rich or not old then someone is not curious or kind. Everyone who is not brave is either not kind or not humble and vice versa. If lucy is both patient and not rich then someone is either calm or not wise and vice versa. Everyone who is curious or rich is not strong. If lucy is both humble and ... | Alice is generous. | neutral | ((?[X]:((~rich(X)<~>~old(X))))=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:(~brave(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(lucy)&~rich(lucy)))<=>(?[X]:((calm(X)<~>~wise(X)))))&
(![X]:((curious(X)|rich(X))=>~strong(X)))&
(((humble(lucy)&old(lucy)))<=>((kind(lucy)&humble(lucy))))&
(![X]:((funny(X)|~tall(X))=>funny(X)))&
(... | generous(alice) | [] | null | 0 |
If mary is both kind and quiet then alice is happy.
If someone is not old or funny then susan is tall and vice versa.
Everyone who is not generous is not tall or curious and vice versa.
If someone is quiet then someone is generous.
Everyone who is not happy or patient is either kind or old and vice versa.
Everyone who ... | Paul is not wise. | contradiction | (((kind(mary)&quiet(mary)))=>(happy(alice)))&
((?[X]:((~old(X)|funny(X))))<=>(tall(susan)))&
(![X]:(~generous(X)<=>(~tall(X)|curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)|patient(X))<=>(kind(X)<~>old(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)&~kind(X))))&
(((~old(fred)|curious(fred)))... | ~wise(paul) | [
"p2",
"p5",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6078432449313599672717058
% SZS output start Proof for 6078432449313599672717058
3. ! [X0] : (~generous(X0) <=> (curious(X0) | ~tall(X0))) [input p2]
6. ! [X0] : ((~strong(X0) & funny(X0)) <=> (~kind(X0) & happy(X0))) [input p5]
8. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~patient(fred)... | 0 |
Everyone who is both creative and not curious is not patient.
Everyone who is both not rich and not happy is both not brave and not rich.
If someone is both not funny and not creative then someone is not creative and vice versa.
If paul is not generous or not wise then susan is both not generous and not strong and vice... | John is kind. | neutral | (![X]:((creative(X)&~curious(X))=>~patient(X)))&
(![X]:((~rich(X)&~happy(X))=>(~brave(X)&~rich(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>(?[X]:(~creative(X))))&
(((~generous(paul)|~wise(paul)))<=>((~generous(susan)&~strong(susan))))&
((~wise(paul))<=>(?[X]:((~rich(X)|brave(X)))))&
((?[X]:(~tall(X)))<=>((funny(fred)<~... | kind(john) | [] | null | 0 |
Everyone who is not happy or not quiet is brave and vice versa. Everyone who is not funny or kind is either not patient or not old. If fred is quiet or not quiet then paul is either brave or not patient and vice versa. Everyone who is happy is both curious and quiet and vice versa. If mary is curious or old then alice ... | Fred is not humble. | contradiction | (![X]:((~happy(X)|~quiet(X))<=>brave(X)))&
(![X]:((~funny(X)|kind(X))=>(~patient(X)<~>~old(X))))&
(((quiet(fred)|~quiet(fred)))<=>((brave(paul)<~>~patient(paul))))&
(![X]:(happy(X)<=>(curious(X)&quiet(X))))&
(((curious(mary)|old(mary)))<=>(~happy(alice)))&
(![X]:((~curious(X)<~>creative(X))=>curious(X)))&
(((~kind(paul... | ~humble(fred) | [
"p0",
"p2",
"p3",
"p6",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7688464070882588372616723
% SZS output start Proof for 7688464070882588372616723
1. ! [X0] : ((~quiet(X0) | ~happy(X0)) <=> brave(X0)) [input p0]
3. (~quiet(fred) | quiet(fred)) <=> (brave(paul) <~> ~patient(paul)) [input p2]
4. ! [X0] : (happy(X0) <=> (quiet(X0) & curious(X0))) [input p3... | 0 |
Everyone who is both funny and curious is either creative or not kind.
Everyone who is either not tall or not brave is rich or quiet.
Everyone who is rich is either not funny or tall.
Everyone who is curious or old is rich or not old and vice versa.
Everyone who is brave is generous or not old and vice versa.
If paul i... | Lucy is tall. | entailment | (![X]:((funny(X)&curious(X))=>(creative(X)<~>~kind(X))))&
(![X]:((~tall(X)<~>~brave(X))=>(rich(X)|quiet(X))))&
(![X]:(rich(X)=>(~funny(X)<~>tall(X))))&
(![X]:((curious(X)|old(X))<=>(rich(X)|~old(X))))&
(![X]:(brave(X)<=>(generous(X)|~old(X))))&
((~funny(paul))=>(?[X]:((wise(X)&~generous(X)))))&
((?[X]:((curious(X)<~>ta... | tall(lucy) | [
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3095967850087459908400958
% SZS output start Proof for 3095967850087459908400958
9. ! [X0] : ((curious(X0) | ~patient(X0)) => ~creative(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | wise(X0)) => (~rich(X0) & patient(X0))) [input p9]
12. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~patient(X0... | 0 |
If john is either tall or not brave then alice is both not generous and calm and vice versa. If someone is not quiet then mary is either creative or humble and vice versa. If someone is both not quiet and not tall then john is either patient or not creative and vice versa. Everyone who is both not funny and patient is ... | Alice is humble. | contradiction | (((tall(john)<~>~brave(john)))<=>((~generous(alice)&calm(alice))))&
((?[X]:(~quiet(X)))<=>((creative(mary)<~>humble(mary))))&
((?[X]:((~quiet(X)&~tall(X))))<=>((patient(john)<~>~creative(john))))&
(![X]:((~funny(X)&patient(X))=>~happy(X)))&
(![X]:((~quiet(X)<~>patient(X))<=>(humble(X)|happy(X))))&
(((~tall(lucy)&~happy... | humble(alice) | [
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4638929233624946825529709
% SZS output start Proof for 4638929233624946825529709
9. ! [X0] : (patient(X0) <=> (calm(X0) | humble(X0))) [input p8]
14. ! [X0] : ((~generous(X0) | rich(X0)) => (~rich(X0) <~> ~patient(X0))) [input p13]
21. strong(alice) & rich(alice) [input p20]
24. humble(al... | 0 |
If john is not creative or tall then someone is both not happy and patient and vice versa.
If someone is not brave then lucy is not creative and vice versa.
If someone is patient or not creative then someone is not creative.
Everyone who is rich or not rich is calm.
If paul is either not strong or not humble then lucy ... | Fred is old. | contradiction | (((~creative(john)|tall(john)))<=>(?[X]:((~happy(X)&patient(X)))))&
((?[X]:(~brave(X)))<=>(~creative(lucy)))&
((?[X]:((patient(X)|~creative(X))))=>(?[X]:(~creative(X))))&
(![X]:((rich(X)|~rich(X))=>calm(X)))&
(((~strong(paul)<~>~humble(paul)))=>((quiet(lucy)|~humble(lucy))))&
(((brave(lucy)&strong(lucy)))=>(?[X]:((~hum... | old(fred) | [
"p3",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9172524516810516624782204
% SZS output start Proof for 9172524516810516624782204
4. ! [X0] : ((~rich(X0) | rich(X0)) => calm(X0)) [input p3]
8. ! [X0] : ((creative(X0) | old(X0)) <=> (~wise(X0) <~> generous(X0))) [input p7]
11. ! [X0] : ((old(X0) | kind(X0)) <=> (~funny(X0) & ~tall(X0))) ... | 0 |
Everyone who is humble is patient and vice versa.
Everyone who is either not tall or not kind is not funny or humble.
Everyone who is rich is both wise and not curious and vice versa.
If someone is rich or tall then someone is either not creative or not tall and vice versa.
Everyone who is either happy or not patient i... | Lucy is not kind. | neutral | (![X]:(humble(X)<=>patient(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|humble(X))))&
(![X]:(rich(X)<=>(wise(X)&~curious(X))))&
((?[X]:((rich(X)|tall(X))))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((happy(X)<~>~patient(X))<=>(~happy(X)|creative(X))))&
((funny(john))<=>(?[X]:((~rich(X)<~>rich(X)))))&
((~brave(fred... | ~kind(lucy) | [] | null | 0 |
If someone is wise or brave then mary is not patient or kind. If someone is calm then someone is both not generous and not curious and vice versa. Everyone who is both not brave and tall is either generous or funny and vice versa. Everyone who is both not rich and tall is either quiet or not old and vice versa. Everyon... | Alice is not happy. | contradiction | ((?[X]:((wise(X)|brave(X))))=>((~patient(mary)|kind(mary))))&
((?[X]:(calm(X)))<=>(?[X]:((~generous(X)&~curious(X)))))&
(![X]:((~brave(X)&tall(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)&tall(X))<=>(quiet(X)<~>~old(X))))&
(![X]:((~curious(X)|~kind(X))=>(~creative(X)|~kind(X))))&
(((kind(alice)&~calm(alice)))<=>(... | ~happy(alice) | [
"p5",
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8796657373489305682596390
% SZS output start Proof for 8796657373489305682596390
6. (~calm(alice) & kind(alice)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p5]
7. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (~happy(X0) | calm(X0))) [input p6]
8. ! [X0] : ((~funny(X0) | patient(X0)) => (~ric... | 0 |
Everyone who is both not generous and not curious is brave or not humble and vice versa. If paul is humble or not generous then paul is strong or not brave and vice versa. Everyone who is both not quiet and strong is either calm or not funny. If someone is not wise then alice is not curious or humble. If someone is cre... | Paul is not quiet. | contradiction | (![X]:((~generous(X)&~curious(X))<=>(brave(X)|~humble(X))))&
(((humble(paul)|~generous(paul)))<=>((strong(paul)|~brave(paul))))&
(![X]:((~quiet(X)&strong(X))=>(calm(X)<~>~funny(X))))&
((?[X]:(~wise(X)))=>((~curious(alice)|humble(alice))))&
((?[X]:((creative(X)|~creative(X))))<=>((~creative(alice)&~wise(alice))))&
((cur... | ~quiet(paul) | [
"p0",
"p5",
"p7",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 304797061237598319920319
% SZS output start Proof for 304797061237598319920319
1. ! [X0] : ((~curious(X0) & ~generous(X0)) <=> (~humble(X0) | brave(X0))) [input p0]
6. curious(susan) <=> (~creative(paul) | strong(paul)) [input p5]
8. ! [X0] : ((~kind(X0) & curious(X0)) <=> patient(X0)) [i... | 0 |
Everyone who is not calm or brave is both not patient and generous and vice versa.
Everyone who is either not curious or kind is either tall or generous and vice versa.
Everyone who is calm or brave is either not calm or strong and vice versa.
Everyone who is not old or patient is either not curious or old.
Everyone wh... | Paul is creative. | contradiction | (![X]:((~calm(X)|brave(X))<=>(~patient(X)&generous(X))))&
(![X]:((~curious(X)<~>kind(X))<=>(tall(X)<~>generous(X))))&
(![X]:((calm(X)|brave(X))<=>(~calm(X)<~>strong(X))))&
(![X]:((~old(X)|patient(X))=>(~curious(X)<~>old(X))))&
(![X]:((~tall(X)|old(X))=>(humble(X)|funny(X))))&
(((~wise(alice)&~patient(alice)))=>(~creati... | creative(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4087377315121627574862329
% SZS output start Proof for 4087377315121627574862329
24. ~creative(paul) & ~kind(paul) [input p23]
25. creative(paul) [input hypothesis]
138. ~creative(paul) [cnf transformation 24]
139. creative(paul) [cnf transformation 25]
153. 3 <=> creative(paul) [avatar d... | 0 |
Everyone who is generous or tall is both generous and not rich and vice versa.
Everyone who is wise or creative is not old or not curious.
If lucy is both not funny and not calm then someone is either not generous or not old and vice versa.
If someone is wise then someone is either happy or not quiet.
If someone is eit... | Lucy is happy. | neutral | (![X]:((generous(X)|tall(X))<=>(generous(X)&~rich(X))))&
(![X]:((wise(X)|creative(X))=>(~old(X)|~curious(X))))&
(((~funny(lucy)&~calm(lucy)))<=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:(wise(X)))=>(?[X]:((happy(X)<~>~quiet(X)))))&
((?[X]:((generous(X)<~>~quiet(X))))<=>((creative(alice)<~>~brave(alice))))&
((?[X]:((~c... | happy(lucy) | [] | null | 0 |
Everyone who is strong or not creative is either wise or brave and vice versa.
Everyone who is tall is both not wise and not old and vice versa.
Everyone who is humble or curious is calm.
Everyone who is both curious and patient is not rich and vice versa.
Everyone who is funny or strong is both brave and curious.
If p... | Paul is not patient. | contradiction | (![X]:((strong(X)|~creative(X))<=>(wise(X)<~>brave(X))))&
(![X]:(tall(X)<=>(~wise(X)&~old(X))))&
(![X]:((humble(X)|curious(X))=>calm(X)))&
(![X]:((curious(X)&patient(X))<=>~rich(X)))&
(![X]:((funny(X)|strong(X))=>(brave(X)&curious(X))))&
(((curious(paul)&~tall(paul)))=>((~wise(lucy)|patient(lucy))))&
(![X]:((generous(X... | ~patient(paul) | [
"p0",
"p4",
"p9",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 338726354787741630548868
% SZS output start Proof for 338726354787741630548868
1. ! [X0] : ((~creative(X0) | strong(X0)) <=> (wise(X0) <~> brave(X0))) [input p0]
5. ! [X0] : ((strong(X0) | funny(X0)) => (curious(X0) & brave(X0))) [input p4]
10. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (gener... | 0 |
Everyone who is either strong or not patient is either humble or kind.
Everyone who is creative or generous is not calm.
Everyone who is curious or strong is both not wise and not humble and vice versa.
If someone is both not generous and not humble then susan is not generous.
If paul is creative or wise then lucy is r... | Lucy is generous. | neutral | (![X]:((strong(X)<~>~patient(X))=>(humble(X)<~>kind(X))))&
(![X]:((creative(X)|generous(X))=>~calm(X)))&
(![X]:((curious(X)|strong(X))<=>(~wise(X)&~humble(X))))&
((?[X]:((~generous(X)&~humble(X))))=>(~generous(susan)))&
(((creative(paul)|wise(paul)))<=>((rich(lucy)|happy(lucy))))&
(![X]:((calm(X)&~quiet(X))=>(~rich(X)|... | generous(lucy) | [] | null | 0 |
Everyone who is not calm is either kind or funny.
If susan is not tall then mary is either quiet or not creative.
Everyone who is both not wise and strong is both patient and calm and vice versa.
Everyone who is not patient is either not tall or generous and vice versa.
Everyone who is not generous or not tall is eithe... | Susan is humble. | neutral | (![X]:(~calm(X)=>(kind(X)<~>funny(X))))&
((~tall(susan))=>((quiet(mary)<~>~creative(mary))))&
(![X]:((~wise(X)&strong(X))<=>(patient(X)&calm(X))))&
(![X]:(~patient(X)<=>(~tall(X)<~>generous(X))))&
(![X]:((~generous(X)|~tall(X))=>(kind(X)<~>~happy(X))))&
((?[X]:((~old(X)<~>~generous(X))))=>(quiet(susan)))&
(((tall(mary)... | humble(susan) | [] | null | 0 |
Everyone who is both not creative and patient is either not strong or rich and vice versa. Everyone who is both not curious and not calm is either creative or not humble and vice versa. If someone is wise or rich then alice is tall or creative and vice versa. If alice is not humble or not creative then someone is eithe... | Lucy is rich. | contradiction | (![X]:((~creative(X)&patient(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>(creative(X)<~>~humble(X))))&
((?[X]:((wise(X)|rich(X))))<=>((tall(alice)|creative(alice))))&
(((~humble(alice)|~creative(alice)))=>(?[X]:((quiet(X)<~>~strong(X)))))&
(![X]:(happy(X)<=>(~humble(X)|~old(X))))&
(![X]:((curious(X)... | rich(lucy) | [
"p1",
"p2",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5692713642044064933913047
% SZS output start Proof for 5692713642044064933913047
2. ! [X0] : ((~calm(X0) & ~curious(X0)) <=> (creative(X0) <~> ~humble(X0))) [input p1]
3. ? [X0] : (rich(X0) | wise(X0)) <=> (creative(alice) | tall(alice)) [input p2]
10. ! [X0] : ((~humble(X0) <~> kind(X0))... | 0 |
If someone is both quiet and not brave then someone is either quiet or patient and vice versa.
Everyone who is not funny or patient is not strong or funny and vice versa.
Everyone who is both not old and not patient is both not tall and not happy.
If susan is either not creative or creative then someone is either stron... | Fred is not rich. | neutral | ((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((quiet(X)<~>patient(X)))))&
(![X]:((~funny(X)|patient(X))<=>(~strong(X)|funny(X))))&
(![X]:((~old(X)&~patient(X))=>(~tall(X)&~happy(X))))&
(((~creative(susan)<~>creative(susan)))<=>(?[X]:((strong(X)<~>calm(X)))))&
((?[X]:((wise(X)&quiet(X))))=>(?[X]:((creative(X)|brave(X)))))&
((... | ~rich(fred) | [] | null | 0 |
If lucy is both tall and not humble then someone is curious and vice versa.
Everyone who is both not brave and old is quiet.
If someone is rich then fred is both curious and not kind and vice versa.
If someone is either generous or curious then someone is both generous and not curious.
Everyone who is either calm or no... | Fred is not creative. | neutral | (((tall(lucy)&~humble(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((~brave(X)&old(X))=>quiet(X)))&
((?[X]:(rich(X)))<=>((curious(fred)&~kind(fred))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((calm(X)<~>~creative(X))<=>funny(X)))&
((~kind(mary))=>(?[X]:((brave(X)|~generous(X)))))&
(![... | ~creative(fred) | [] | null | 0 |
Everyone who is either not strong or tall is both not creative and not curious and vice versa.
If someone is either tall or not brave then susan is not creative and vice versa.
Everyone who is both not old and not tall is funny and vice versa.
If mary is both not generous and not curious then someone is not happy and v... | Fred is not wise. | entailment | (![X]:((~strong(X)<~>tall(X))<=>(~creative(X)&~curious(X))))&
((?[X]:((tall(X)<~>~brave(X))))<=>(~creative(susan)))&
(![X]:((~old(X)&~tall(X))<=>funny(X)))&
(((~generous(mary)&~curious(mary)))<=>(?[X]:(~happy(X))))&
(![X]:(tall(X)<=>(tall(X)&~humble(X))))&
(![X]:((funny(X)&creative(X))=>(quiet(X)<~>~quiet(X))))&
((crea... | ~wise(fred) | [
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3846552627882398644972154
% SZS output start Proof for 3846552627882398644972154
11. ? [X0] : rich(X0) <=> (~wise(fred) & ~rich(fred)) [input p10]
24. ? [X0] : rich(X0) [input p23]
25. wise(fred) [input hypothesis]
60. (? [X0] : rich(X0) | (wise(fred) | rich(fred))) & ((~wise(fred) & ~ric... | 0 |
Everyone who is both kind and not curious is curious. If paul is not old or patient then paul is both not generous and patient. If someone is both not rich and not brave then lucy is not patient or not creative and vice versa. If susan is both curious and rich then paul is not tall and vice versa. Everyone who is both ... | Alice is not patient. | neutral | (![X]:((kind(X)&~curious(X))=>curious(X)))&
(((~old(paul)|patient(paul)))=>((~generous(paul)&patient(paul))))&
((?[X]:((~rich(X)&~brave(X))))<=>((~patient(lucy)|~creative(lucy))))&
(((curious(susan)&rich(susan)))<=>(~tall(paul)))&
(![X]:((~wise(X)&happy(X))=>(quiet(X)&~old(X))))&
(((happy(john)<~>wise(john)))<=>(wise(f... | ~patient(alice) | [] | null | 0 |
Everyone who is either tall or quiet is not brave. If lucy is not curious then someone is both not old and not funny and vice versa. If alice is either not humble or tall then paul is both strong and not tall and vice versa. Everyone who is calm is old and vice versa. If susan is not creative then someone is kind and v... | John is not generous. | neutral | (![X]:((tall(X)<~>quiet(X))=>~brave(X)))&
((~curious(lucy))<=>(?[X]:((~old(X)&~funny(X)))))&
(((~humble(alice)<~>tall(alice)))<=>((strong(paul)&~tall(paul))))&
(![X]:(calm(X)<=>old(X)))&
((~creative(susan))<=>(?[X]:(kind(X))))&
(![X]:((~tall(X)<~>~quiet(X))<=>brave(X)))&
(![X]:((~wise(X)<~>creative(X))=>(patient(X)<~>c... | ~generous(john) | [] | null | 0 |
Everyone who is either wise or kind is both not humble and tall. Everyone who is both not calm and curious is not kind or funny and vice versa. If someone is not creative then paul is not wise and vice versa. Everyone who is either old or not kind is either not brave or not kind. Everyone who is generous is not happy. ... | Susan is not tall. | contradiction | (![X]:((wise(X)<~>kind(X))=>(~humble(X)&tall(X))))&
(![X]:((~calm(X)&curious(X))<=>(~kind(X)|funny(X))))&
((?[X]:(~creative(X)))<=>(~wise(paul)))&
(![X]:((old(X)<~>~kind(X))=>(~brave(X)<~>~kind(X))))&
(![X]:(generous(X)=>~happy(X)))&
((?[X]:((tall(X)|~brave(X))))=>((tall(fred)&brave(fred))))&
(((old(mary)|wise(mary)))<... | ~tall(susan) | [
"p1",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8283745484479312920385133
% SZS output start Proof for 8283745484479312920385133
2. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (funny(X0) | ~kind(X0))) [input p1]
11. ? [X0] : (strong(X0) | ~strong(X0)) <=> ? [X0] : (~wise(X0) & ~curious(X0)) [input p10]
16. ? [X0] : ~funny(X0) => tall(susan... | 0 |
Everyone who is either generous or wise is wise.
Everyone who is either not wise or calm is either not curious or not strong and vice versa.
Everyone who is both wise and not curious is both not curious and tall.
Everyone who is both kind and not wise is either patient or creative.
If someone is not creative then someo... | Fred is creative. | entailment | (![X]:((generous(X)<~>wise(X))=>wise(X)))&
(![X]:((~wise(X)<~>calm(X))<=>(~curious(X)<~>~strong(X))))&
(![X]:((wise(X)&~curious(X))=>(~curious(X)&tall(X))))&
(![X]:((kind(X)&~wise(X))=>(patient(X)<~>creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((creative(X)|wise(X)))))&
(![X]:((~happy(X)<~>~wise(X))=>(humble(X)&rich(... | creative(fred) | [
"p7",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8131350111264230820300915
% SZS output start Proof for 8131350111264230820300915
8. ! [X0] : (happy(X0) <=> (~curious(X0) & ~rich(X0))) [input p7]
13. ! [X0] : ((~happy(X0) | ~creative(X0)) => (funny(X0) <~> creative(X0))) [input p12]
16. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (humble(X0... | 0 |
Everyone who is either old or happy is either old or wise and vice versa. Everyone who is not old is not generous and vice versa. Everyone who is patient is both patient and wise. If someone is either not patient or not creative then fred is either creative or not creative and vice versa. If someone is calm then fred i... | Susan is curious. | neutral | (![X]:((old(X)<~>happy(X))<=>(old(X)<~>wise(X))))&
(![X]:(~old(X)<=>~generous(X)))&
(![X]:(patient(X)=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)<~>~creative(X))))<=>((creative(fred)<~>~creative(fred))))&
((?[X]:(calm(X)))<=>((~funny(fred)<~>funny(fred))))&
(![X]:((~humble(X)|tall(X))<=>(quiet(X)|tall(X))))&
(((curio... | curious(susan) | [] | null | 0 |
Everyone who is either not brave or creative is both strong and quiet.
If someone is both not calm and not funny then john is kind.
Everyone who is both quiet and generous is generous and vice versa.
Everyone who is either not old or humble is either not curious or patient.
If someone is either not strong or not calm t... | Alice is not patient. | neutral | (![X]:((~brave(X)<~>creative(X))=>(strong(X)&quiet(X))))&
((?[X]:((~calm(X)&~funny(X))))=>(kind(john)))&
(![X]:((quiet(X)&generous(X))<=>generous(X)))&
(![X]:((~old(X)<~>humble(X))=>(~curious(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(~humble(mary)))&
(((strong(susan)<~>quiet(susan)))<=>((~strong(fred)&~r... | ~patient(alice) | [] | null | 0 |
If susan is either tall or quiet then susan is both old and patient and vice versa.
If someone is not kind or rich then someone is both generous and not generous and vice versa.
Everyone who is curious is wise.
Everyone who is quiet or not kind is not quiet.
If fred is both not funny and quiet then susan is not generou... | Alice is curious. | contradiction | (((tall(susan)<~>quiet(susan)))<=>((old(susan)&patient(susan))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((generous(X)&~generous(X)))))&
(![X]:(curious(X)=>wise(X)))&
(![X]:((quiet(X)|~kind(X))=>~quiet(X)))&
(((~funny(fred)&quiet(fred)))=>(~generous(susan)))&
(![X]:(happy(X)<=>(brave(X)|old(X))))&
((?[X]:((~old(X)|funny(... | curious(alice) | [
"p1",
"p5",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6801717988991271306495622
% SZS output start Proof for 6801717988991271306495622
2. ? [X0] : (rich(X0) | ~kind(X0)) <=> ? [X0] : (~generous(X0) & generous(X0)) [input p1]
6. ! [X0] : (happy(X0) <=> (old(X0) | brave(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~calm(X0)) => (~wise(X0) & ~... | 0 |
Everyone who is strong or tall is both not humble and not rich and vice versa.
Everyone who is either not quiet or not happy is wise or generous.
Everyone who is curious is calm and vice versa.
Everyone who is not wise or brave is either not funny or not strong.
Everyone who is both kind and quiet is not strong or not ... | Lucy is not wise. | neutral | (![X]:((strong(X)|tall(X))<=>(~humble(X)&~rich(X))))&
(![X]:((~quiet(X)<~>~happy(X))=>(wise(X)|generous(X))))&
(![X]:(curious(X)<=>calm(X)))&
(![X]:((~wise(X)|brave(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((kind(X)&quiet(X))<=>(~strong(X)|~kind(X))))&
((~calm(mary))=>((~strong(lucy)&~rich(lucy))))&
(![X]:((~quiet(X)&bra... | ~wise(lucy) | [] | null | 0 |
If someone is not rich or calm then alice is both tall and not kind.
Everyone who is both not old and not wise is either humble or tall and vice versa.
Everyone who is both generous and funny is not tall or not funny and vice versa.
Everyone who is not wise or generous is not funny or not quiet and vice versa.
Everyone... | Fred is creative. | neutral | ((?[X]:((~rich(X)|calm(X))))=>((tall(alice)&~kind(alice))))&
(![X]:((~old(X)&~wise(X))<=>(humble(X)<~>tall(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)|~funny(X))))&
(![X]:((~wise(X)|generous(X))<=>(~funny(X)|~quiet(X))))&
(![X]:(generous(X)=>(kind(X)&happy(X))))&
(![X]:((funny(X)&~calm(X))<=>(curious(X)<~>wise(X))... | creative(fred) | [] | null | 0 |
Everyone who is not brave is either strong or not curious and vice versa.
Everyone who is patient is either wise or not calm.
Everyone who is calm is not brave or humble.
Everyone who is both not brave and funny is both wise and not kind.
If someone is either old or brave then someone is either not wise or brave.
If so... | Lucy is wise. | contradiction | (![X]:(~brave(X)<=>(strong(X)<~>~curious(X))))&
(![X]:(patient(X)=>(wise(X)<~>~calm(X))))&
(![X]:(calm(X)=>(~brave(X)|humble(X))))&
(![X]:((~brave(X)&funny(X))=>(wise(X)&~kind(X))))&
((?[X]:((old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~happy(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:... | wise(lucy) | [
"p0",
"p1",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 372721483337108872787523
% SZS output start Proof for 372721483337108872787523
1. ! [X0] : (~brave(X0) <=> (strong(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : (patient(X0) => (wise(X0) <~> ~calm(X0))) [input p1]
10. ! [X0] : ((patient(X0) | ~strong(X0)) => (~quiet(X0) & ~strong(X0))) [i... | 0 |
Everyone who is old is both not humble and brave and vice versa. Everyone who is kind is either creative or not patient and vice versa. If someone is both not curious and wise then lucy is happy and vice versa. If paul is either humble or not generous then alice is both not old and tall and vice versa. If someone is fu... | Alice is not old. | entailment | (![X]:(old(X)<=>(~humble(X)&brave(X))))&
(![X]:(kind(X)<=>(creative(X)<~>~patient(X))))&
((?[X]:((~curious(X)&wise(X))))<=>(happy(lucy)))&
(((humble(paul)<~>~generous(paul)))<=>((~old(alice)&tall(alice))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:(~creative(X))))&
(![X]:((rich(X)|~rich(X))<=>~brave(X)))&
((?[X]:((kind(X)... | ~old(alice) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 996871515269149124495647
% SZS output start Proof for 996871515269149124495647
1. ! [X0] : (old(X0) <=> (brave(X0) & ~humble(X0))) [input p0]
6. ! [X0] : ((~rich(X0) | rich(X0)) <=> ~brave(X0)) [input p5]
23. old(alice) [input hypothesis]
32. ! [X0] : ((old(X0) | (~brave(X0) | humble(X0))... | 0 |
Everyone who is not kind is wise and vice versa.
If someone is quiet then someone is both not quiet and tall and vice versa.
If fred is not funny then someone is either not quiet or calm and vice versa.
If someone is both rich and not curious then someone is either not strong or creative and vice versa.
If alice is eit... | Mary is not old. | entailment | (![X]:(~kind(X)<=>wise(X)))&
((?[X]:(quiet(X)))<=>(?[X]:((~quiet(X)&tall(X)))))&
((~funny(fred))<=>(?[X]:((~quiet(X)<~>calm(X)))))&
((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(((~calm(alice)<~>~funny(alice)))=>(~humble(susan)))&
(![X]:((~wise(X)&~creative(X))=>(calm(X)|~kind(X))))&
(((funny... | ~old(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6139121740579010901921840
% SZS output start Proof for 6139121740579010901921840
15. ! [X0] : ((brave(X0) & old(X0)) <=> ~brave(X0)) [input p14]
25. old(mary) [input hypothesis]
72. ! [X0] : (((brave(X0) & old(X0)) | brave(X0)) & (~brave(X0) | (~brave(X0) | ~old(X0)))) [nnf transformation... | 0 |
Everyone who is not strong or not curious is strong. If someone is generous or tall then susan is generous. If paul is either not wise or not curious then john is creative or not curious. Everyone who is either not old or not strong is both quiet and not funny and vice versa. If alice is not quiet then paul is not crea... | Paul is not kind. | neutral | (![X]:((~strong(X)|~curious(X))=>strong(X)))&
((?[X]:((generous(X)|tall(X))))=>(generous(susan)))&
(((~wise(paul)<~>~curious(paul)))=>((creative(john)|~curious(john))))&
(![X]:((~old(X)<~>~strong(X))<=>(quiet(X)&~funny(X))))&
((~quiet(alice))=>(~creative(paul)))&
((?[X]:((~humble(X)|wise(X))))<=>(?[X]:((~quiet(X)|~crea... | ~kind(paul) | [] | null | 0 |
Everyone who is not funny is both quiet and not funny. Everyone who is either not humble or funny is old and vice versa. Everyone who is strong or not generous is happy or creative. Everyone who is either not creative or not generous is not brave. If someone is not generous or tall then mary is both not curious and pat... | Lucy is not quiet. | contradiction | (![X]:(~funny(X)=>(quiet(X)&~funny(X))))&
(![X]:((~humble(X)<~>funny(X))<=>old(X)))&
(![X]:((strong(X)|~generous(X))=>(happy(X)|creative(X))))&
(![X]:((~creative(X)<~>~generous(X))=>~brave(X)))&
((?[X]:((~generous(X)|tall(X))))=>((~curious(mary)&patient(mary))))&
(![X]:((happy(X)<~>~tall(X))=>(~patient(X)&~quiet(X))))&... | ~quiet(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 217657198520888836928926
% SZS output start Proof for 217657198520888836928926
1. ! [X0] : (~funny(X0) => (~funny(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> funny(X0)) <=> old(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | strong(X0)) => (creative(X0) | happy(X0))) [input p... | 0 |
Everyone who is either creative or wise is either not old or not happy.
If someone is not kind then alice is wise.
Everyone who is both calm and not kind is both not brave and not happy.
Everyone who is both not rich and not kind is tall or not strong and vice versa.
If someone is not brave or creative then someone is ... | Fred is tall. | neutral | (![X]:((creative(X)<~>wise(X))=>(~old(X)<~>~happy(X))))&
((?[X]:(~kind(X)))=>(wise(alice)))&
(![X]:((calm(X)&~kind(X))=>(~brave(X)&~happy(X))))&
(![X]:((~rich(X)&~kind(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~brave(X)|creative(X))))<=>(?[X]:((creative(X)<~>~old(X)))))&
((?[X]:((~brave(X)<~>~strong(X))))=>(?[X]:((creativ... | tall(fred) | [] | null | 0 |
Everyone who is both happy and not quiet is both not happy and old and vice versa.
Everyone who is creative or patient is either curious or old.
If susan is creative or not curious then someone is tall and vice versa.
Everyone who is happy or quiet is not patient and vice versa.
Everyone who is both rich and funny is e... | Paul is not quiet. | contradiction | (![X]:((happy(X)&~quiet(X))<=>(~happy(X)&old(X))))&
(![X]:((creative(X)|patient(X))=>(curious(X)<~>old(X))))&
(((creative(susan)|~curious(susan)))<=>(?[X]:(tall(X))))&
(![X]:((happy(X)|quiet(X))<=>~patient(X)))&
(![X]:((rich(X)&funny(X))<=>(~kind(X)<~>~tall(X))))&
(![X]:(funny(X)=>(curious(X)&~kind(X))))&
((?[X]:(calm(... | ~quiet(paul) | [
"p0",
"p3",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 474970328504978448158435
% SZS output start Proof for 474970328504978448158435
1. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (old(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((quiet(X0) | happy(X0)) <=> ~patient(X0)) [input p3]
14. ! [X0] : (patient(X0) <=> (rich(X0) & brave(X0))) [input p13]
2... | 0 |
Everyone who is humble or not tall is either strong or not happy and vice versa.
Everyone who is either strong or quiet is both not rich and not calm.
Everyone who is both strong and wise is calm.
If fred is not creative or humble then mary is not humble and vice versa.
If someone is funny or brave then john is funny.
... | Mary is not patient. | entailment | (![X]:((humble(X)|~tall(X))<=>(strong(X)<~>~happy(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~rich(X)&~calm(X))))&
(![X]:((strong(X)&wise(X))=>calm(X)))&
(((~creative(fred)|humble(fred)))<=>(~humble(mary)))&
((?[X]:((funny(X)|brave(X))))=>(funny(john)))&
(((calm(fred)<~>~creative(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((funny... | ~patient(mary) | [
"p0",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 126013895272289081514402
% SZS output start Proof for 126013895272289081514402
1. ! [X0] : ((~tall(X0) | humble(X0)) <=> (strong(X0) <~> ~happy(X0))) [input p0]
7. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (tall(X0) & ~kind(X0))) [input p6]
8. ? [X0] : ~creative(X0) => ~funny(paul) [input p7... | 0 |
Everyone who is kind or strong is calm and vice versa.
Everyone who is both not curious and old is not funny or kind and vice versa.
Everyone who is humble or quiet is either tall or not strong.
If someone is not brave then fred is not calm or not wise.
Everyone who is patient or tall is rich.
If susan is old then alic... | Susan is strong. | contradiction | (![X]:((kind(X)|strong(X))<=>calm(X)))&
(![X]:((~curious(X)&old(X))<=>(~funny(X)|kind(X))))&
(![X]:((humble(X)|quiet(X))=>(tall(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~calm(fred)|~wise(fred))))&
(![X]:((patient(X)|tall(X))=>rich(X)))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X)))... | strong(susan) | [
"p0",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 802845746223538600043051
% SZS output start Proof for 802845746223538600043051
1. ! [X0] : ((strong(X0) | kind(X0)) <=> calm(X0)) [input p0]
12. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p11]
16. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm(X0))) [input p15]
... | 0 |
If paul is patient or happy then someone is both not kind and not wise and vice versa.
If mary is either not strong or not wise then lucy is not wise.
If someone is calm or kind then someone is either curious or patient.
Everyone who is both not quiet and not wise is old or humble and vice versa.
If fred is not calm or... | Paul is brave. | entailment | (((patient(paul)|happy(paul)))<=>(?[X]:((~kind(X)&~wise(X)))))&
(((~strong(mary)<~>~wise(mary)))=>(~wise(lucy)))&
((?[X]:((calm(X)|kind(X))))=>(?[X]:((curious(X)<~>patient(X)))))&
(![X]:((~quiet(X)&~wise(X))<=>(old(X)|humble(X))))&
(((~calm(fred)|curious(fred)))<=>(~kind(alice)))&
((?[X]:((~happy(X)&patient(X))))<=>(?[... | brave(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2838053107272540796270950
% SZS output start Proof for 2838053107272540796270950
22. curious(paul) & brave(paul) [input p21]
25. ~brave(paul) [input hypothesis]
159. brave(paul) [cnf transformation 22]
164. ~brave(paul) [cnf transformation 25]
291. 28 <=> brave(paul) [avatar definition]
4... | 0 |
Everyone who is both curious and not rich is quiet or not rich and vice versa.
If someone is not generous or curious then lucy is not brave and vice versa.
Everyone who is brave is both not creative and not quiet and vice versa.
If paul is wise then lucy is happy and vice versa.
Everyone who is both not humble and humb... | Alice is not creative. | neutral | (![X]:((curious(X)&~rich(X))<=>(quiet(X)|~rich(X))))&
((?[X]:((~generous(X)|curious(X))))<=>(~brave(lucy)))&
(![X]:(brave(X)<=>(~creative(X)&~quiet(X))))&
((wise(paul))<=>(happy(lucy)))&
(![X]:((~humble(X)&humble(X))<=>(~calm(X)|~quiet(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(tall(X)&~quiet(X))))&
(![X]:((~curious(X)&~pa... | ~creative(alice) | [] | null | 0 |
Everyone who is funny or rich is both quiet and curious.
If someone is both humble and patient then someone is both not calm and not humble and vice versa.
If someone is both patient and quiet then lucy is both not humble and not brave.
Everyone who is wise or patient is rich or not kind.
Everyone who is both not happy... | Fred is humble. | entailment | (![X]:((funny(X)|rich(X))=>(quiet(X)&curious(X))))&
((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~calm(X)&~humble(X)))))&
((?[X]:((patient(X)&quiet(X))))=>((~humble(lucy)&~brave(lucy))))&
(![X]:((wise(X)|patient(X))=>(rich(X)|~kind(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(patient(X)<~>~funny(X))))&
((?[X]:((creative(X)&cal... | humble(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7415224711064809455164035
% SZS output start Proof for 7415224711064809455164035
10. ! [X0] : (~humble(X0) <=> (~creative(X0) & creative(X0))) [input p9]
25. ~humble(fred) [input hypothesis]
52. ! [X0] : ((~humble(X0) | (creative(X0) | ~creative(X0))) & ((~creative(X0) & creative(X0)) | h... | 0 |
Everyone who is either generous or quiet is either creative or kind and vice versa.
Everyone who is humble is not calm or not kind.
Everyone who is not brave is not kind or creative and vice versa.
Everyone who is either not generous or not tall is calm or not wise.
If someone is not generous or quiet then someone is n... | Susan is rich. | neutral | (![X]:((generous(X)<~>quiet(X))<=>(creative(X)<~>kind(X))))&
(![X]:(humble(X)=>(~calm(X)|~kind(X))))&
(![X]:(~brave(X)<=>(~kind(X)|creative(X))))&
(![X]:((~generous(X)<~>~tall(X))=>(calm(X)|~wise(X))))&
((?[X]:((~generous(X)|quiet(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~curious(X)&~wise(X))=>old(X)))&
((?[X]:(funny(X)))=>... | rich(susan) | [] | null | 0 |
If fred is both generous and old then someone is both creative and old and vice versa. Everyone who is both not wise and not creative is not quiet or not humble and vice versa. If someone is calm or patient then someone is both not patient and not funny and vice versa. If someone is both tall and curious then paul is b... | Paul is not brave. | entailment | (((generous(fred)&old(fred)))<=>(?[X]:((creative(X)&old(X)))))&
(![X]:((~wise(X)&~creative(X))<=>(~quiet(X)|~humble(X))))&
((?[X]:((calm(X)|patient(X))))<=>(?[X]:((~patient(X)&~funny(X)))))&
((?[X]:((tall(X)&curious(X))))=>((~kind(paul)&~old(paul))))&
(((funny(susan)<~>~creative(susan)))=>(?[X]:((quiet(X)|calm(X)))))&
... | ~brave(paul) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2622358932797202954163823
% SZS output start Proof for 2622358932797202954163823
6. ! [X0] : (~quiet(X0) <=> (~humble(X0) & ~brave(X0))) [input p5]
19. ~humble(paul) & ~quiet(paul) [input p18]
24. brave(paul) [input hypothesis]
53. ! [X0] : ((~quiet(X0) | (humble(X0) | brave(X0))) & ((~hu... | 0 |
If paul is either not tall or not kind then lucy is not funny and vice versa. Everyone who is strong is not kind and vice versa. If john is both creative and not calm then someone is both not wise and not patient and vice versa. If someone is tall or creative then someone is not generous and vice versa. Everyone who is... | Mary is not happy. | entailment | (((~tall(paul)<~>~kind(paul)))<=>(~funny(lucy)))&
(![X]:(strong(X)<=>~kind(X)))&
(((creative(john)&~calm(john)))<=>(?[X]:((~wise(X)&~patient(X)))))&
((?[X]:((tall(X)|creative(X))))<=>(?[X]:(~generous(X))))&
(![X]:((strong(X)|kind(X))<=>(funny(X)&~strong(X))))&
(((funny(fred)|curious(fred)))<=>((~strong(alice)|kind(alic... | ~happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7158537871398143975328925
% SZS output start Proof for 7158537871398143975328925
10. ! [X0] : ((~happy(X0) | ~curious(X0)) <=> curious(X0)) [input p9]
21. happy(mary) [input hypothesis]
58. ! [X0] : (((~happy(X0) | ~curious(X0)) | ~curious(X0)) & (curious(X0) | (happy(X0) & curious(X0))))... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then lucy is not calm or not tall and vice versa.
Everyone who is either not funny or curious is not calm and vice versa.
Everyone who is both kind and not tall is either kind or not strong and... | Susan is rich. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>((~calm(lucy)|~tall(lucy))))&
(![X]:((~funny(X)<~>curious(X))<=>~calm(X)))&
(![X]:((kind(X)&~tall(X))<=>(kind(X)<~>~strong(X))))&
((?[X]:((strong(X)|quiet(X))))<=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(paul)|patient(paul)))=... | rich(susan) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9074870010131299363327179
% SZS output start Proof for 9074870010131299363327179
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
21. quiet(susan) & creative(susan) [input p20]
25. ~rich(susan) [input hypothesis]
37. ! [X0] : (((~strong(X0) | ~rich(X0))... | 0 |
Everyone who is both not generous and not rich is either not wise or generous and vice versa.
If someone is both funny and curious then alice is both not old and not humble and vice versa.
Everyone who is both brave and not creative is not creative and vice versa.
If someone is calm then someone is happy or kind and vi... | Susan is not brave. | contradiction | (![X]:((~generous(X)&~rich(X))<=>(~wise(X)<~>generous(X))))&
((?[X]:((funny(X)&curious(X))))<=>((~old(alice)&~humble(alice))))&
(![X]:((brave(X)&~creative(X))<=>~creative(X)))&
((?[X]:(calm(X)))<=>(?[X]:((happy(X)|kind(X)))))&
((~wise(john))=>(funny(paul)))&
(![X]:((~quiet(X)&creative(X))=>humble(X)))&
(![X]:((~happy(X... | ~brave(susan) | [
"p2",
"p5",
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4042307505932635357766582
% SZS output start Proof for 4042307505932635357766582
3. ! [X0] : ((~creative(X0) & brave(X0)) <=> ~creative(X0)) [input p2]
6. ! [X0] : ((creative(X0) & ~quiet(X0)) => humble(X0)) [input p5]
8. ! [X0] : (~calm(X0) <=> (~quiet(X0) & ~old(X0))) [input p7]
13. ? [... | 0 |
Everyone who is both happy and funny is either kind or wise and vice versa.
If someone is brave then susan is tall and vice versa.
Everyone who is funny is brave.
Everyone who is either not funny or patient is both kind and not curious.
If someone is both not wise and generous then someone is not brave and vice versa.
... | Susan is creative. | neutral | (![X]:((happy(X)&funny(X))<=>(kind(X)<~>wise(X))))&
((?[X]:(brave(X)))<=>(tall(susan)))&
(![X]:(funny(X)=>brave(X)))&
(![X]:((~funny(X)<~>patient(X))=>(kind(X)&~curious(X))))&
((?[X]:((~wise(X)&generous(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~calm(X)|~wise(X))<=>(~generous(X)|~happy(X))))&
((?[X]:((humble(X)&old(X))))=>(... | creative(susan) | [] | null | 0 |
If mary is not strong or not old then someone is not quiet.
Everyone who is wise or kind is curious and vice versa.
If someone is both calm and tall then someone is both patient and not strong and vice versa.
If someone is funny or not brave then fred is not rich or strong and vice versa.
Everyone who is either not cur... | Mary is not calm. | contradiction | (((~strong(mary)|~old(mary)))=>(?[X]:(~quiet(X))))&
(![X]:((wise(X)|kind(X))<=>curious(X)))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((patient(X)&~strong(X)))))&
((?[X]:((funny(X)|~brave(X))))<=>((~rich(fred)|strong(fred))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(strong(X)|creati... | ~calm(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2151676762306696764758031
% SZS output start Proof for 2151676762306696764758031
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
23. ~calm(mary) [input hypothesis]
50. ! [X0] : ((~calm(X0) | (~calm(X0) | ~generous(X0))) & ((calm(X0) & generous(X0)) | calm(X0))) [nnf trans... | 0 |
If fred is both strong and rich then someone is brave or not kind and vice versa. If john is generous or not funny then someone is either old or rich and vice versa. Everyone who is not funny or curious is tall. If someone is funny then someone is either curious or not generous. If john is both not brave and not happy ... | John is not happy. | neutral | (((strong(fred)&rich(fred)))<=>(?[X]:((brave(X)|~kind(X)))))&
(((generous(john)|~funny(john)))<=>(?[X]:((old(X)<~>rich(X)))))&
(![X]:((~funny(X)|curious(X))=>tall(X)))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~generous(X)))))&
(((~brave(john)&~happy(john)))=>(?[X]:((~tall(X)<~>curious(X)))))&
((?[X]:((~quiet(X)<~>curi... | ~happy(john) | [] | null | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | John is not tall. | neutral | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | ~tall(john) | [] | null | 0 |
Everyone who is both not strong and not curious is either creative or rich.
Everyone who is both not generous and not strong is happy.
Everyone who is not generous is not curious.
If someone is not creative or happy then john is not funny and vice versa.
Everyone who is patient or wise is either patient or tall and vic... | Mary is not old. | entailment | (![X]:((~strong(X)&~curious(X))=>(creative(X)<~>rich(X))))&
(![X]:((~generous(X)&~strong(X))=>happy(X)))&
(![X]:(~generous(X)=>~curious(X)))&
((?[X]:((~creative(X)|happy(X))))<=>(~funny(john)))&
(![X]:((patient(X)|wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((happy(X)<~>tall(X))<=>old(X)))&
(![X]:((~kind(X)|wise(X))<=>c... | ~old(mary) | [
"p4",
"p5",
"p8",
"p10",
"p11",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 628715782427295205539568
% SZS output start Proof for 628715782427295205539568
5. ! [X0] : ((wise(X0) | patient(X0)) <=> (patient(X0) <~> tall(X0))) [input p4]
6. ! [X0] : ((happy(X0) <~> tall(X0)) <=> old(X0)) [input p5]
9. rich(mary) <=> ? [X0] : (patient(X0) | generous(X0)) [input p8]
... | 0 |
Everyone who is both happy and not happy is either not funny or tall. If fred is either not creative or humble then someone is either not generous or strong. If john is both not generous and humble then someone is curious. If someone is either quiet or not happy then someone is either not brave or brave. If susan is no... | John is not wise. | entailment | (![X]:((happy(X)&~happy(X))=>(~funny(X)<~>tall(X))))&
(((~creative(fred)<~>humble(fred)))=>(?[X]:((~generous(X)<~>strong(X)))))&
(((~generous(john)&humble(john)))=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)<~>~happy(X))))=>(?[X]:((~brave(X)<~>brave(X)))))&
((~happy(susan))=>((~calm(lucy)<~>old(lucy))))&
(![X]:(curious(X)<... | ~wise(john) | [
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6798932377576998669414124
% SZS output start Proof for 6798932377576998669414124
6. ! [X0] : (curious(X0) <=> (humble(X0) <~> happy(X0))) [input p5]
10. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~curious(X0))) [input p9]
11. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> happy(X0)) [input p10]
22.... | 0 |
If john is rich or not humble then mary is either happy or creative and vice versa.
Everyone who is either not rich or brave is either quiet or not brave and vice versa.
If lucy is not brave or not kind then someone is not tall.
If susan is either not curious or not brave then someone is both not wise and strong.
Every... | Lucy is happy. | contradiction | (((rich(john)|~humble(john)))<=>((happy(mary)<~>creative(mary))))&
(![X]:((~rich(X)<~>brave(X))<=>(quiet(X)<~>~brave(X))))&
(((~brave(lucy)|~kind(lucy)))=>(?[X]:(~tall(X))))&
(((~curious(susan)<~>~brave(susan)))=>(?[X]:((~wise(X)&strong(X)))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X)))... | happy(lucy) | [
"p1",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 872654443063917495446349
% SZS output start Proof for 872654443063917495446349
2. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p1]
5. ! [X0] : (~rich(X0) => rich(X0)) [input p4]
11. ! [X0] : (quiet(X0) => (~calm(X0) & curious(X0))) [input p10]
12. ? [X0] : (~... | 0 |
If someone is not calm or not rich then fred is not humble or kind.
If someone is happy then mary is rich and vice versa.
Everyone who is both old and not kind is both not humble and quiet and vice versa.
Everyone who is both not happy and not quiet is both not quiet and not brave.
Everyone who is kind is both not tall... | Fred is humble. | entailment | ((?[X]:((~calm(X)|~rich(X))))=>((~humble(fred)|kind(fred))))&
((?[X]:(happy(X)))<=>(rich(mary)))&
(![X]:((old(X)&~kind(X))<=>(~humble(X)&quiet(X))))&
(![X]:((~happy(X)&~quiet(X))=>(~quiet(X)&~brave(X))))&
(![X]:(kind(X)<=>(~tall(X)&calm(X))))&
(![X]:(humble(X)<=>(~calm(X)<~>old(X))))&
((?[X]:(~patient(X)))=>(?[X]:(happ... | humble(fred) | [
"p2",
"p4",
"p5",
"p8",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 72515321750950140983665
% SZS output start Proof for 72515321750950140983665
3. ! [X0] : ((~kind(X0) & old(X0)) <=> (quiet(X0) & ~humble(X0))) [input p2]
5. ! [X0] : (kind(X0) <=> (calm(X0) & ~tall(X0))) [input p4]
6. ! [X0] : (humble(X0) <=> (~calm(X0) <~> old(X0))) [input p5]
9. ! [X0] ... | 0 |
If fred is not brave or calm then someone is either funny or not quiet and vice versa. If someone is brave then john is strong or funny and vice versa. Everyone who is either quiet or not strong is tall and vice versa. If susan is curious or not funny then fred is generous and vice versa. Everyone who is both not brave... | John is wise. | contradiction | (((~brave(fred)|calm(fred)))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
((?[X]:(brave(X)))<=>((strong(john)|funny(john))))&
(![X]:((quiet(X)<~>~strong(X))<=>tall(X)))&
(((curious(susan)|~funny(susan)))<=>(generous(fred)))&
(![X]:((~brave(X)&wise(X))=>(~creative(X)<~>~quiet(X))))&
((rich(paul))<=>((~calm(paul)<~>old(paul))))&
... | wise(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8072320930989126218559521
% SZS output start Proof for 8072320930989126218559521
7. ! [X0] : (rich(X0) <=> (~wise(X0) <~> ~rich(X0))) [input p6]
25. wise(john) [input hypothesis]
51. ! [X0] : ((rich(X0) | ((~wise(X0) | rich(X0)) & (~rich(X0) | wise(X0)))) & (((rich(X0) | wise(X0)) & (~ric... | 0 |
Everyone who is either funny or not old is creative or wise and vice versa.
If mary is either not brave or tall then mary is either not happy or calm and vice versa.
Everyone who is brave or not tall is either calm or not patient.
Everyone who is wise is either not quiet or not tall and vice versa.
Everyone who is both... | Paul is not patient. | neutral | (![X]:((funny(X)<~>~old(X))<=>(creative(X)|wise(X))))&
(((~brave(mary)<~>tall(mary)))<=>((~happy(mary)<~>calm(mary))))&
(![X]:((brave(X)|~tall(X))=>(calm(X)<~>~patient(X))))&
(![X]:(wise(X)<=>(~quiet(X)<~>~tall(X))))&
(![X]:((happy(X)&~strong(X))<=>(creative(X)&~calm(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(genero... | ~patient(paul) | [] | null | 0 |
If someone is not funny then alice is not generous or not brave and vice versa.
If someone is not brave then someone is either happy or quiet and vice versa.
If john is both not old and not happy then mary is not quiet or creative.
If fred is tall or not tall then someone is not humble and vice versa.
If someone is eit... | Lucy is not patient. | contradiction | ((?[X]:(~funny(X)))<=>((~generous(alice)|~brave(alice))))&
((?[X]:(~brave(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
(((~old(john)&~happy(john)))=>((~quiet(mary)|creative(mary))))&
(((tall(fred)|~tall(fred)))<=>(?[X]:(~humble(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:(~wise(X))))&
((?[X]:((happy(X)|curious(X))))=>((... | ~patient(lucy) | [
"p8",
"p11",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4039577465590289898628212
% SZS output start Proof for 4039577465590289898628212
9. ! [X0] : (curious(X0) <=> (creative(X0) | rich(X0))) [input p8]
12. ! [X0] : ((~strong(X0) <~> humble(X0)) <=> (funny(X0) | ~patient(X0))) [input p11]
13. ! [X0] : ((~rich(X0) <~> patient(X0)) <=> (strong(... | 0 |
Everyone who is both not humble and not kind is not curious or rich and vice versa. If someone is both curious and kind then mary is both not patient and not calm and vice versa. Everyone who is both not strong and old is either wise or curious. Everyone who is funny is both brave and not happy. Everyone who is either ... | Lucy is funny. | contradiction | (![X]:((~humble(X)&~kind(X))<=>(~curious(X)|rich(X))))&
((?[X]:((curious(X)&kind(X))))<=>((~patient(mary)&~calm(mary))))&
(![X]:((~strong(X)&old(X))=>(wise(X)<~>curious(X))))&
(![X]:(funny(X)=>(brave(X)&~happy(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(strong(X)|kind(X))))&
(![X]:((~quiet(X)<~>wise(X))=>(~creative(X)|tal... | funny(lucy) | [
"p0",
"p4",
"p7",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8155640065983806995257756
% SZS output start Proof for 8155640065983806995257756
1. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (rich(X0) | ~curious(X0))) [input p0]
5. ! [X0] : ((~humble(X0) <~> ~wise(X0)) <=> (kind(X0) | strong(X0))) [input p4]
8. ~curious(john) => ~funny(lucy) [input p7]
1... | 0 |
Everyone who is either not calm or quiet is both old and not brave. If someone is both strong and not humble then paul is both not creative and not old and vice versa. Everyone who is kind or not humble is not creative. Everyone who is either brave or humble is rich. Everyone who is not happy or not old is either not c... | Alice is creative. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((kind(X)|~humble(X))=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((pat... | creative(alice) | [] | null | 0 |
Everyone who is not quiet or generous is either creative or humble and vice versa.
If someone is not kind or creative then someone is curious or not curious and vice versa.
If someone is creative then alice is both creative and brave and vice versa.
Everyone who is curious or not rich is curious or funny.
If someone is... | Lucy is not curious. | contradiction | (![X]:((~quiet(X)|generous(X))<=>(creative(X)<~>humble(X))))&
((?[X]:((~kind(X)|creative(X))))<=>(?[X]:((curious(X)|~curious(X)))))&
((?[X]:(creative(X)))<=>((creative(alice)&brave(alice))))&
(![X]:((curious(X)|~rich(X))=>(curious(X)|funny(X))))&
((?[X]:((quiet(X)&~old(X))))=>(?[X]:(~calm(X))))&
((?[X]:((~brave(X)&~ric... | ~curious(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8630892832254710545909127
% SZS output start Proof for 8630892832254710545909127
14. ! [X0] : ((~calm(X0) <~> calm(X0)) => (calm(X0) & curious(X0))) [input p13]
25. ~curious(lucy) [input hypothesis]
37. ! [X0] : ((calm(X0) & curious(X0)) | (~calm(X0) <=> calm(X0))) [ennf transformation 14... | 0 |
Everyone who is either not brave or not wise is both happy and not patient and vice versa. Everyone who is not happy or not tall is both rich and not strong and vice versa. If someone is both kind and not brave then someone is not funny or old and vice versa. Everyone who is not generous or not happy is both happy and ... | Lucy is not brave. | contradiction | (![X]:((~brave(X)<~>~wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&~strong(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(?[X]:((~funny(X)|old(X)))))&
(![X]:((~generous(X)|~happy(X))=>(happy(X)&~rich(X))))&
(![X]:((~strong(X)&old(X))=>(brave(X)|patient(X))))&
(((rich(alice)<~>old(alice)))<=>((pat... | ~brave(lucy) | [
"p0",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8579472013847778651395011
% SZS output start Proof for 8579472013847778651395011
1. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (~patient(X0) & happy(X0))) [input p0]
8. ! [X0] : ((~patient(X0) <~> humble(X0)) <=> (funny(X0) | ~wise(X0))) [input p7]
13. ! [X0] : ((~humble(X0) & patient(X0)) ... | 0 |
If someone is creative or wise then susan is funny and vice versa. Everyone who is both strong and happy is not creative or wise and vice versa. Everyone who is either brave or tall is both not funny and not rich and vice versa. Everyone who is old or not tall is both not calm and strong and vice versa. If someone is e... | Mary is not calm. | neutral | ((?[X]:((creative(X)|wise(X))))<=>(funny(susan)))&
(![X]:((strong(X)&happy(X))<=>(~creative(X)|wise(X))))&
(![X]:((brave(X)<~>tall(X))<=>(~funny(X)&~rich(X))))&
(![X]:((old(X)|~tall(X))<=>(~calm(X)&strong(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>(~humble(paul)))&
(![X]:((~wise(X)|~generous(X))<=>(humble(X)|funny(X))))... | ~calm(mary) | [] | null | 0 |
Everyone who is either strong or old is either not quiet or not creative and vice versa.
Everyone who is funny is both funny and wise and vice versa.
Everyone who is either not brave or not kind is both not happy and not humble.
If paul is either patient or creative then someone is either humble or calm.
If someone is ... | Paul is old. | contradiction | (![X]:((strong(X)<~>old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:(funny(X)<=>(funny(X)&wise(X))))&
(![X]:((~brave(X)<~>~kind(X))=>(~happy(X)&~humble(X))))&
(((patient(paul)<~>creative(paul)))=>(?[X]:((humble(X)<~>calm(X)))))&
((?[X]:((~rich(X)<~>calm(X))))=>((~creative(fred)&patient(fred))))&
((strong(alice))<=>(?[X]:... | old(paul) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6768190939146927216738434
% SZS output start Proof for 6768190939146927216738434
15. ? [X0] : (old(X0) | generous(X0)) <=> ? [X0] : (~tall(X0) & ~rich(X0)) [input p14]
16. ! [X0] : (~wise(X0) <=> (rich(X0) | wise(X0))) [input p15]
24. old(paul) [input hypothesis]
27. ? [X0] : (old(X0) | g... | 0 |
If paul is either creative or rich then lucy is quiet or calm.
Everyone who is both not wise and not calm is both not tall and not calm and vice versa.
Everyone who is both not patient and not rich is wise or not humble.
Everyone who is not old is not funny or tall.
Everyone who is either tall or curious is both quiet ... | Fred is brave. | contradiction | (((creative(paul)<~>rich(paul)))=>((quiet(lucy)|calm(lucy))))&
(![X]:((~wise(X)&~calm(X))<=>(~tall(X)&~calm(X))))&
(![X]:((~patient(X)&~rich(X))=>(wise(X)|~humble(X))))&
(![X]:(~old(X)=>(~funny(X)|tall(X))))&
(![X]:((tall(X)<~>curious(X))=>(quiet(X)&~happy(X))))&
((~curious(lucy))<=>(?[X]:((~kind(X)|creative(X)))))&
((... | brave(fred) | [
"p4",
"p8",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4943921974054941866730650
% SZS output start Proof for 4943921974054941866730650
5. ! [X0] : ((tall(X0) <~> curious(X0)) => (~happy(X0) & quiet(X0))) [input p4]
9. ! [X0] : (brave(X0) <=> (happy(X0) | ~quiet(X0))) [input p8]
13. ! [X0] : ((curious(X0) <~> ~tall(X0)) => funny(X0)) [input p... | 0 |
If someone is both not humble and not generous then someone is rich.
Everyone who is not kind or not patient is not kind.
If someone is not rich then someone is either generous or not kind and vice versa.
Everyone who is not rich or rich is either not creative or not kind and vice versa.
Everyone who is both not patien... | Alice is not happy. | neutral | ((?[X]:((~humble(X)&~generous(X))))=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|~patient(X))=>~kind(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((generous(X)<~>~kind(X)))))&
(![X]:((~rich(X)|rich(X))<=>(~creative(X)<~>~kind(X))))&
(![X]:((~patient(X)&~curious(X))<=>~curious(X)))&
(![X]:((~rich(X)<~>~tall(X))<=>(old(X)&~happy(X))))&
(![X... | ~happy(alice) | [] | null | 0 |
If someone is patient then someone is not happy.
If mary is wise or not wise then someone is happy or not brave.
If mary is not brave or not wise then someone is quiet.
If fred is not creative then someone is either not curious or humble.
If alice is not patient or happy then someone is not rich and vice versa.
Everyon... | Fred is brave. | entailment | ((?[X]:(patient(X)))=>(?[X]:(~happy(X))))&
(((wise(mary)|~wise(mary)))=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(mary)|~wise(mary)))=>(?[X]:(quiet(X))))&
((~creative(fred))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~patient(alice)|happy(alice)))<=>(?[X]:(~rich(X))))&
(![X]:((wise(X)|~curious(X))<=>(wise(X)<~>brave(X)))... | brave(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 417050694327797273035505
% SZS output start Proof for 417050694327797273035505
11. ! [X0] : ((old(X0) | ~brave(X0)) <=> (~strong(X0) & brave(X0))) [input p10]
23. ~brave(fred) [input hypothesis]
62. ! [X0] : (((old(X0) | ~brave(X0)) | (strong(X0) | ~brave(X0))) & ((~strong(X0) & brave(X0)... | 0 |
Everyone who is calm is either generous or not old.
If someone is either not generous or happy then mary is not old or not patient and vice versa.
Everyone who is strong or funny is curious and vice versa.
Everyone who is not quiet or not creative is both not brave and quiet and vice versa.
If someone is both brave and... | Mary is not generous. | neutral | (![X]:(calm(X)=>(generous(X)<~>~old(X))))&
((?[X]:((~generous(X)<~>happy(X))))<=>((~old(mary)|~patient(mary))))&
(![X]:((strong(X)|funny(X))<=>curious(X)))&
(![X]:((~quiet(X)|~creative(X))<=>(~brave(X)&quiet(X))))&
((?[X]:((brave(X)&happy(X))))=>(?[X]:(~brave(X))))&
(![X]:(~strong(X)<=>(rich(X)|humble(X))))&
(((~curiou... | ~generous(mary) | [] | null | 0 |
If someone is either humble or funny then lucy is not patient and vice versa.
If someone is not happy or not brave then susan is strong and vice versa.
If fred is not curious then mary is either happy or calm.
If someone is not kind or patient then someone is either creative or not old and vice versa.
Everyone who is n... | Paul is rich. | contradiction | ((?[X]:((humble(X)<~>funny(X))))<=>(~patient(lucy)))&
((?[X]:((~happy(X)|~brave(X))))<=>(strong(susan)))&
((~curious(fred))=>((happy(mary)<~>calm(mary))))&
((?[X]:((~kind(X)|patient(X))))<=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((~happy(X)|tall(X))=>humble(X)))&
((?[X]:((generous(X)|calm(X))))<=>((generous(alice)|cu... | rich(paul) | [
"p1",
"p6",
"p7",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 445992883560352043573618
% SZS output start Proof for 445992883560352043573618
2. ? [X0] : (~brave(X0) | ~happy(X0)) <=> strong(susan) [input p1]
7. ! [X0] : (~rich(X0) => (rich(X0) | ~strong(X0))) [input p6]
8. ! [X0] : (wise(X0) => ~happy(X0)) [input p7]
13. ? [X0] : (rich(X0) <~> ~humb... | 0 |
Everyone who is either calm or tall is either not curious or curious.
If lucy is funny or not patient then alice is both brave and not calm.
If john is either creative or not quiet then someone is humble or not strong.
Everyone who is tall is either generous or wise and vice versa.
If alice is both kind and strong then... | Lucy is not patient. | contradiction | (![X]:((calm(X)<~>tall(X))=>(~curious(X)<~>curious(X))))&
(((funny(lucy)|~patient(lucy)))=>((brave(alice)&~calm(alice))))&
(((creative(john)<~>~quiet(john)))=>(?[X]:((humble(X)|~strong(X)))))&
(![X]:(tall(X)<=>(generous(X)<~>wise(X))))&
(((kind(alice)&strong(alice)))=>((~strong(mary)|generous(mary))))&
(![X]:(funny(X)<... | ~patient(lucy) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4457946436886186121246166
% SZS output start Proof for 4457946436886186121246166
2. (~patient(lucy) | funny(lucy)) => (~calm(alice) & brave(alice)) [input p1]
6. ! [X0] : (funny(X0) <=> (~calm(X0) <~> funny(X0))) [input p5]
25. ~patient(lucy) [input hypothesis]
29. (~calm(alice) & brave(a... | 0 |
Everyone who is strong or brave is both not generous and humble. If someone is either not creative or patient then someone is both not tall and not strong and vice versa. Everyone who is tall or rich is either creative or curious. Everyone who is not patient or wise is generous or not funny and vice versa. If mary is n... | Paul is generous. | contradiction | (![X]:((strong(X)|brave(X))=>(~generous(X)&humble(X))))&
((?[X]:((~creative(X)<~>patient(X))))<=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((tall(X)|rich(X))=>(creative(X)<~>curious(X))))&
(![X]:((~patient(X)|wise(X))<=>(generous(X)|~funny(X))))&
(((~kind(mary)|old(mary)))=>(~kind(mary)))&
(![X]:((~patient(X)&~generous(X)... | generous(paul) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 87807833578573289572613
% SZS output start Proof for 87807833578573289572613
1. ! [X0] : ((brave(X0) | strong(X0)) => (humble(X0) & ~generous(X0))) [input p0]
6. ! [X0] : ((~generous(X0) & ~patient(X0)) <=> (wise(X0) | ~strong(X0))) [input p5]
25. generous(paul) [input hypothesis]
29. ! [... | 0 |
If someone is not old or not tall then someone is both kind and not calm and vice versa.
Everyone who is either not brave or strong is creative and vice versa.
Everyone who is humble or not creative is not strong or wise.
Everyone who is both strong and not calm is both not funny and quiet.
Everyone who is not tall or ... | Mary is not tall. | entailment | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>creative(X)))&
(![X]:((humble(X)|~creative(X))=>(~strong(X)|wise(X))))&
(![X]:((strong(X)&~calm(X))=>(~funny(X)&quiet(X))))&
(![X]:((~tall(X)|~brave(X))=>(~humble(X)&~tall(X))))&
(((~wise(john)<~>~patient(john)))<=>(?[X]:(~cre... | ~tall(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8242169750158006219973055
% SZS output start Proof for 8242169750158006219973055
18. ~quiet(mary) & ~tall(mary) [input p17]
22. tall(mary) [input hypothesis]
127. ~tall(mary) [cnf transformation 18]
133. tall(mary) [cnf transformation 22]
317. $false [subsumption resolution 133,127]
% SZS... | 0 |
Everyone who is creative is both happy and not brave and vice versa.
If mary is both not rich and not happy then fred is either curious or not wise and vice versa.
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who is funny or not kind is either not strong or curious.
If someone is not... | Lucy is not curious. | contradiction | (![X]:(creative(X)<=>(happy(X)&~brave(X))))&
(((~rich(mary)&~happy(mary)))<=>((curious(fred)<~>~wise(fred))))&
(![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=>(quiet(lucy)))&
(![X]:(~happy(X)=>(strong(X)&tall(X))))&
(((~happy(mary)&~kind... | ~curious(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5744267426825508768549506
% SZS output start Proof for 5744267426825508768549506
8. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> tall(X0)) [input p7]
23. ~curious(lucy) [input hypothesis]
42. ! [X0] : (((~tall(X0) & ~curious(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) | curious(X0)))) [nnf tran... | 0 |
If someone is either creative or not old then someone is either not wise or kind and vice versa. If susan is brave then mary is both humble and not happy. Everyone who is strong or humble is wise and vice versa. If someone is both not tall and not wise then alice is not curious or not creative and vice versa. If susan ... | Alice is not funny. | contradiction | ((?[X]:((creative(X)<~>~old(X))))<=>(?[X]:((~wise(X)<~>kind(X)))))&
((brave(susan))=>((humble(mary)&~happy(mary))))&
(![X]:((strong(X)|humble(X))<=>wise(X)))&
((?[X]:((~tall(X)&~wise(X))))<=>((~curious(alice)|~creative(alice))))&
(((kind(susan)|~quiet(susan)))<=>(?[X]:((~patient(X)<~>~strong(X)))))&
(![X]:((~tall(X)|~k... | ~funny(alice) | [
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5055267672121598707294394
% SZS output start Proof for 5055267672121598707294394
12. ! [X0] : (~funny(X0) <=> (old(X0) & rich(X0))) [input p11]
18. ~rich(alice) [input p17]
25. ~funny(alice) [input hypothesis]
64. ! [X0] : ((~funny(X0) | (~old(X0) | ~rich(X0))) & ((old(X0) & rich(X0)) | f... | 0 |
If mary is not generous or not patient then susan is both not old and happy. Everyone who is funny or happy is both not wise and not humble. If john is both curious and not creative then someone is either creative or not kind. If john is not humble then someone is not creative or quiet. Everyone who is not wise is eith... | Susan is curious. | neutral | (((~generous(mary)|~patient(mary)))=>((~old(susan)&happy(susan))))&
(![X]:((funny(X)|happy(X))=>(~wise(X)&~humble(X))))&
(((curious(john)&~creative(john)))=>(?[X]:((creative(X)<~>~kind(X)))))&
((~humble(john))=>(?[X]:((~creative(X)|quiet(X)))))&
(![X]:(~wise(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(lucy)&~patient(luc... | curious(susan) | [] | null | 0 |
If someone is either generous or creative then someone is rich.
Everyone who is either not generous or not curious is either not strong or not wise.
If john is either not funny or tall then someone is both old and humble and vice versa.
If someone is rich or happy then someone is not humble.
If lucy is either not happy... | Mary is not curious. | entailment | ((?[X]:((generous(X)<~>creative(X))))=>(?[X]:(rich(X))))&
(![X]:((~generous(X)<~>~curious(X))=>(~strong(X)<~>~wise(X))))&
(((~funny(john)<~>tall(john)))<=>(?[X]:((old(X)&humble(X)))))&
((?[X]:((rich(X)|happy(X))))=>(?[X]:(~humble(X))))&
(((~happy(lucy)<~>patient(lucy)))<=>((~old(paul)<~>~wise(paul))))&
(![X]:(~tall(X)<... | ~curious(mary) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 335093929065610515827916
% SZS output start Proof for 335093929065610515827916
7. ? [X0] : wise(X0) <=> ~wise(john) [input p6]
16. ? [X0] : wise(X0) <=> (~patient(mary) & ~curious(mary)) [input p15]
25. curious(mary) [input hypothesis]
52. (? [X0] : wise(X0) | wise(john)) & (~wise(john) |... | 0 |
Everyone who is either tall or strong is not brave and vice versa.
If someone is either calm or happy then someone is not happy.
If someone is either calm or quiet then someone is creative.
Everyone who is both funny and quiet is either not curious or not humble and vice versa.
If someone is quiet or not old then someo... | Susan is not strong. | contradiction | (![X]:((tall(X)<~>strong(X))<=>~brave(X)))&
((?[X]:((calm(X)<~>happy(X))))=>(?[X]:(~happy(X))))&
((?[X]:((calm(X)<~>quiet(X))))=>(?[X]:(creative(X))))&
(![X]:((funny(X)&quiet(X))<=>(~curious(X)<~>~humble(X))))&
((?[X]:((quiet(X)|~old(X))))=>(?[X]:((generous(X)&happy(X)))))&
(![X]:((~happy(X)<~>~curious(X))=>wise(X)))&
... | ~strong(susan) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4407010389147426027187288
% SZS output start Proof for 4407010389147426027187288
9. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> (patient(X0) | ~old(X0))) [input p8]
16. (creative(fred) & patient(fred)) <=> ? [X0] : ~strong(X0) [input p15]
25. ~strong(susan) [input hypothesis]
61. ! [X0] : (... | 0 |
Everyone who is either not quiet or not old is not tall or funny and vice versa. If paul is not kind or not brave then paul is not wise and vice versa. If someone is not strong or wise then lucy is both not calm and creative. Everyone who is either creative or funny is either not rich or brave. Everyone who is not gene... | John is kind. | entailment | (![X]:((~quiet(X)<~>~old(X))<=>(~tall(X)|funny(X))))&
(((~kind(paul)|~brave(paul)))<=>(~wise(paul)))&
((?[X]:((~strong(X)|wise(X))))=>((~calm(lucy)&creative(lucy))))&
(![X]:((creative(X)<~>funny(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~generous(X)|old(X))<=>(strong(X)&kind(X))))&
((?[X]:((~curious(X)|~calm(X))))=>(?[X]:(... | kind(john) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4933870538562071903577074
% SZS output start Proof for 4933870538562071903577074
3. ? [X0] : (wise(X0) | ~strong(X0)) => (creative(lucy) & ~calm(lucy)) [input p2]
5. ! [X0] : ((old(X0) | ~generous(X0)) <=> (kind(X0) & strong(X0))) [input p4]
7. ! [X0] : ((calm(X0) | creative(X0)) <=> (ric... | 0 |
Everyone who is both not kind and humble is either not quiet or calm and vice versa.
Everyone who is wise is happy.
If someone is both brave and not curious then susan is both curious and not calm and vice versa.
If lucy is both humble and not old then someone is not happy or old and vice versa.
Everyone who is calm is... | Lucy is not humble. | contradiction | (![X]:((~kind(X)&humble(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:(wise(X)=>happy(X)))&
((?[X]:((brave(X)&~curious(X))))<=>((curious(susan)&~calm(susan))))&
(((humble(lucy)&~old(lucy)))<=>(?[X]:((~happy(X)|old(X)))))&
(![X]:(calm(X)<=>(~rich(X)<~>~funny(X))))&
((?[X]:(funny(X)))<=>((~happy(mary)|~calm(mary))))&
(![X]:((~hum... | ~humble(lucy) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8983765917333987032680234
% SZS output start Proof for 8983765917333987032680234
4. (~old(lucy) & humble(lucy)) <=> ? [X0] : (old(X0) | ~happy(X0)) [input p3]
23. ? [X0] : (happy(X0) & old(X0)) [input p22]
24. ~humble(lucy) [input hypothesis]
40. ((~old(lucy) & humble(lucy)) | ! [X0] : (~... | 0 |
Everyone who is not strong or patient is either not patient or humble.
Everyone who is either generous or strong is not quiet or humble and vice versa.
If someone is rich or happy then mary is not calm or strong.
Everyone who is either kind or not wise is both not humble and calm.
Everyone who is either not old or pati... | Lucy is not curious. | entailment | (![X]:((~strong(X)|patient(X))=>(~patient(X)<~>humble(X))))&
(![X]:((generous(X)<~>strong(X))<=>(~quiet(X)|humble(X))))&
((?[X]:((rich(X)|happy(X))))=>((~calm(mary)|strong(mary))))&
(![X]:((kind(X)<~>~wise(X))=>(~humble(X)&calm(X))))&
(![X]:((~old(X)<~>patient(X))<=>~strong(X)))&
((happy(alice))=>((~old(fred)<~>generou... | ~curious(lucy) | [
"p4",
"p6",
"p7",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2474549247281228496256841
% SZS output start Proof for 2474549247281228496256841
5. ! [X0] : ((~old(X0) <~> patient(X0)) <=> ~strong(X0)) [input p4]
7. ! [X0] : ((~patient(X0) | ~rich(X0)) => (~calm(X0) & ~generous(X0))) [input p6]
8. ! [X0] : ((curious(X0) | ~brave(X0)) <=> generous(X0))... | 0 |
Everyone who is both not strong and not calm is not quiet or tall and vice versa.
If someone is not patient then someone is not wise and vice versa.
Everyone who is not funny or not happy is either not generous or humble.
Everyone who is both patient and old is both not rich and tall.
Everyone who is either not calm or... | Susan is not happy. | entailment | (![X]:((~strong(X)&~calm(X))<=>(~quiet(X)|tall(X))))&
((?[X]:(~patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~happy(X))=>(~generous(X)<~>humble(X))))&
(![X]:((patient(X)&old(X))=>(~rich(X)&tall(X))))&
(![X]:((~calm(X)<~>~tall(X))=>~rich(X)))&
(![X]:((~humble(X)&humble(X))<=>happy(X)))&
((?[X]:((happy(X)&creative... | ~happy(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 27963399361314040517244
% SZS output start Proof for 27963399361314040517244
6. ! [X0] : ((humble(X0) & ~humble(X0)) <=> happy(X0)) [input p5]
25. happy(susan) [input hypothesis]
49. ! [X0] : (((humble(X0) & ~humble(X0)) | ~happy(X0)) & (happy(X0) | (~humble(X0) | humble(X0)))) [nnf trans... | 0 |
Everyone who is either not old or rich is calm or strong.
If alice is not brave or creative then someone is either not curious or not humble.
If mary is funny then someone is wise.
If john is patient then someone is either not old or not quiet.
Everyone who is not funny is not happy.
If someone is both patient and brav... | Lucy is not strong. | entailment | (![X]:((~old(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((~brave(alice)|creative(alice)))=>(?[X]:((~curious(X)<~>~humble(X)))))&
((funny(mary))=>(?[X]:(wise(X))))&
((patient(john))=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:(~funny(X)=>~happy(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~wise(X)|strong(X)))))&
((?[X]:(~bra... | ~strong(lucy) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4301719217368748160883413
% SZS output start Proof for 4301719217368748160883413
6. ? [X0] : (brave(X0) & patient(X0)) <=> ? [X0] : (strong(X0) | ~wise(X0)) [input p5]
9. ! [X0] : (~brave(X0) <=> (~rich(X0) | patient(X0))) [input p8]
24. strong(lucy) [input hypothesis]
25. ? [X0] : (brave... | 0 |
Everyone who is not strong is either patient or not brave. Everyone who is not calm is strong. Everyone who is both not creative and not rich is both funny and not wise. Everyone who is both not calm and not humble is both brave and old and vice versa. Everyone who is both not creative and not rich is either patient or... | Alice is humble. | contradiction | (![X]:(~strong(X)=>(patient(X)<~>~brave(X))))&
(![X]:(~calm(X)=>strong(X)))&
(![X]:((~creative(X)&~rich(X))=>(funny(X)&~wise(X))))&
(![X]:((~calm(X)&~humble(X))<=>(brave(X)&old(X))))&
(![X]:((~creative(X)&~rich(X))<=>(patient(X)<~>humble(X))))&
(![X]:(old(X)<=>quiet(X)))&
(![X]:((~creative(X)<~>calm(X))<=>(tall(X)&~wis... | humble(alice) | [
"p2",
"p3",
"p4",
"p5",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5396971967648427052650790
% SZS output start Proof for 5396971967648427052650790
3. ! [X0] : ((~rich(X0) & ~creative(X0)) => (~wise(X0) & funny(X0))) [input p2]
4. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> (old(X0) & brave(X0))) [input p3]
5. ! [X0] : ((~rich(X0) & ~creative(X0)) <=> (patie... | 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 patient. | contradiction | (![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)))<=>((... | patient(susan) | [
"p1",
"p8",
"p9",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4935970477534563170886733
% SZS output start Proof for 4935970477534563170886733
2. ! [X0] : ((~quiet(X0) & strong(X0)) <=> (~curious(X0) & generous(X0))) [input p1]
9. ! [X0] : ((~humble(X0) | curious(X0)) <=> (quiet(X0) & kind(X0))) [input p8]
10. ! [X0] : ((~happy(X0) | ~humble(X0)) <=... | 0 |
If someone is not creative or humble then someone is happy. If someone is both wise and calm then someone is either not kind or not humble and vice versa. Everyone who is both not wise and not kind is either funny or humble and vice versa. If someone is both not kind and not brave then someone is either rich or brave a... | Susan is not calm. | neutral | ((?[X]:((~creative(X)|humble(X))))=>(?[X]:(happy(X))))&
((?[X]:((wise(X)&calm(X))))<=>(?[X]:((~kind(X)<~>~humble(X)))))&
(![X]:((~wise(X)&~kind(X))<=>(funny(X)<~>humble(X))))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~creative(X)<~>quiet(X))=>~calm(X)))&
(![X]:(happy(X)=>(~old(X)<~>~kind... | ~calm(susan) | [] | null | 0 |
If someone is both patient and brave then lucy is wise or not creative and vice versa.
If someone is tall or rich then susan is not old or not curious.
Everyone who is not calm or not brave is both happy and not wise and vice versa.
Everyone who is either happy or not creative is either not calm or not curious and vice... | Fred is happy. | entailment | ((?[X]:((patient(X)&brave(X))))<=>((wise(lucy)|~creative(lucy))))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet... | happy(fred) | [
"p2",
"p3",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5321887974592600307116325
% SZS output start Proof for 5321887974592600307116325
3. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~wise(X0) & happy(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> ~curious(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> ... | 0 |
If someone is either calm or kind then susan is not kind or brave and vice versa.
If paul is curious or old then paul is tall or not generous.
If alice is both not wise and calm then alice is either not tall or not quiet and vice versa.
Everyone who is both not rich and generous is both not old and not brave and vice v... | Lucy is not patient. | neutral | ((?[X]:((calm(X)<~>kind(X))))<=>((~kind(susan)|brave(susan))))&
(((curious(paul)|old(paul)))=>((tall(paul)|~generous(paul))))&
(((~wise(alice)&calm(alice)))<=>((~tall(alice)<~>~quiet(alice))))&
(![X]:((~rich(X)&generous(X))<=>(~old(X)&~brave(X))))&
(((~rich(lucy)|tall(lucy)))=>((creative(fred)&~tall(fred))))&
(((~humbl... | ~patient(lucy) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then mary is either creative or not funny and vice versa. Everyone who is rich or old is both curious and not quiet and vice versa. If someone is both old and patient then alice... | Alice is not generous. | contradiction | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)<~>~funny(mary))))&
(![X]:((rich(X)|old(X))<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)&patient(X))))<=>((kind(alice)|curious(alice))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&k... | ~generous(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7945433041928070619259300
% SZS output start Proof for 7945433041928070619259300
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((humble(X0) | old(X0)) => creative(X0)) [input p1]
4. ! [X0] : ((old(X0) | rich(X0)) <=> (~quiet(X0) & curious(X... | 0 |
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