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 mary is not tall or not kind then someone is not calm or not happy and vice versa.
If someone is old or not patient then someone is both funny and generous.
If someone is not generous or humble then fred is rich and vice versa.
If alice is not wise or calm then mary is both not calm and not funny and vice versa.
Eve... | Lucy is wise. | entailment | (((~tall(mary)|~kind(mary)))<=>(?[X]:((~calm(X)|~happy(X)))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:((funny(X)&generous(X)))))&
((?[X]:((~generous(X)|humble(X))))<=>(rich(fred)))&
(((~wise(alice)|calm(alice)))<=>((~calm(mary)&~funny(mary))))&
(![X]:((~generous(X)<~>wise(X))<=>kind(X)))&
(((~humble(susan)&creative(susa... | wise(lucy) | [
"p4",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 561103516648413142836480
% SZS output start Proof for 561103516648413142836480
5. ! [X0] : ((~generous(X0) <~> wise(X0)) <=> kind(X0)) [input p4]
9. ! [X0] : ((~strong(X0) & ~generous(X0)) <=> (~humble(X0) & ~tall(X0))) [input p8]
10. ! [X0] : ((~funny(X0) | strong(X0)) <=> (humble(X0) <~... | 0 |
If alice is not creative then someone is either generous or not strong and vice versa.
Everyone who is both not happy and not creative is either not happy or curious and vice versa.
Everyone who is not quiet or not curious is not creative or calm and vice versa.
Everyone who is both rich and curious is both not humble ... | Lucy is not brave. | contradiction | ((~creative(alice))<=>(?[X]:((generous(X)<~>~strong(X)))))&
(![X]:((~happy(X)&~creative(X))<=>(~happy(X)<~>curious(X))))&
(![X]:((~quiet(X)|~curious(X))<=>(~creative(X)|calm(X))))&
(![X]:((rich(X)&curious(X))<=>(~humble(X)&generous(X))))&
((?[X]:(creative(X)))<=>(?[X]:((patient(X)|~old(X)))))&
(((~wise(paul)|rich(paul)... | ~brave(lucy) | [
"p11",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3119560741802424425139677
% SZS output start Proof for 3119560741802424425139677
12. ! [X0] : ((~rich(X0) | happy(X0)) => ~wise(X0)) [input p11]
15. ! [X0] : ((~tall(X0) & happy(X0)) <=> (tall(X0) | ~brave(X0))) [input p14]
16. ? [X0] : ~wise(X0) => (old(lucy) & ~generous(lucy)) [input p1... | 0 |
Everyone who is tall is both rich and wise and vice versa.
If someone is either not creative or not quiet then paul is patient.
If lucy is both humble and old then someone is not curious or curious.
If someone is not happy or curious then someone is either not strong or calm and vice versa.
If paul is curious then some... | Paul is brave. | entailment | (![X]:(tall(X)<=>(rich(X)&wise(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(patient(paul)))&
(((humble(lucy)&old(lucy)))=>(?[X]:((~curious(X)|curious(X)))))&
((?[X]:((~happy(X)|curious(X))))<=>(?[X]:((~strong(X)<~>calm(X)))))&
((curious(paul))=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(f... | brave(paul) | [
"p7",
"p8",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1603575108927248786880970
% SZS output start Proof for 1603575108927248786880970
8. ! [X0] : ((calm(X0) | ~brave(X0)) => (funny(X0) & ~happy(X0))) [input p7]
9. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (brave(X0) | happy(X0))) [input p8]
12. ! [X0] : (happy(X0) => (~brave(X0) | ~funny(X0... | 0 |
If someone is not kind or generous then mary is old or not wise and vice versa. Everyone who is both humble and curious is not funny or patient. If paul is not tall then someone is creative. If fred is both generous and not curious then fred is both strong and patient and vice versa. If john is both curious and not hum... | Mary is not kind. | contradiction | ((?[X]:((~kind(X)|generous(X))))<=>((old(mary)|~wise(mary))))&
(![X]:((humble(X)&curious(X))=>(~funny(X)|patient(X))))&
((~tall(paul))=>(?[X]:(creative(X))))&
(((generous(fred)&~curious(fred)))<=>((strong(fred)&patient(fred))))&
(((curious(john)&~humble(john)))=>(wise(paul)))&
(![X]:((~strong(X)&~creative(X))=>(wise(X)... | ~kind(mary) | [
"p6",
"p9",
"p16",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 106118526864623008453750
% SZS output start Proof for 106118526864623008453750
7. ! [X0] : (~quiet(X0) => strong(X0)) [input p6]
10. (creative(john) & quiet(john)) <=> (~rich(mary) | happy(mary)) [input p9]
17. ~quiet(john) [input p16]
19. ~happy(mary) <~> quiet(mary) [input p18]
20. stro... | 0 |
If john is patient then susan is either not rich or strong and vice versa.
If lucy is either funny or not patient then john is either not calm or not old and vice versa.
Everyone who is both not patient and not tall is both not curious and not quiet.
Everyone who is old or kind is both rich and strong.
Everyone who is ... | Susan is not creative. | neutral | ((patient(john))<=>((~rich(susan)<~>strong(susan))))&
(((funny(lucy)<~>~patient(lucy)))<=>((~calm(john)<~>~old(john))))&
(![X]:((~patient(X)&~tall(X))=>(~curious(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))=>(rich(X)&strong(X))))&
(![X]:((humble(X)|generous(X))<=>(quiet(X)<~>~patient(X))))&
(![X]:((calm(X)&~tall(X))=>(happ... | ~creative(susan) | [] | null | 0 |
If someone is both not tall and brave then john is not curious. If susan is rich or creative then someone is both not tall and not generous and vice versa. If someone is both wise and not funny then someone is either not tall or not happy and vice versa. If someone is both wise and not humble then someone is old. Every... | Susan is not rich. | contradiction | ((?[X]:((~tall(X)&brave(X))))=>(~curious(john)))&
(((rich(susan)|creative(susan)))<=>(?[X]:((~tall(X)&~generous(X)))))&
((?[X]:((wise(X)&~funny(X))))<=>(?[X]:((~tall(X)<~>~happy(X)))))&
((?[X]:((wise(X)&~humble(X))))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>rich(X))=>(curious(X)&patient(X))))&
(((~rich(paul)<~>kind(paul)... | ~rich(susan) | [
"p4",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 810922110461461302744432
% SZS output start Proof for 810922110461461302744432
5. ! [X0] : ((humble(X0) <~> rich(X0)) => (patient(X0) & curious(X0))) [input p4]
10. ! [X0] : ((patient(X0) <~> rich(X0)) => ~curious(X0)) [input p9]
13. ! [X0] : ((kind(X0) & tall(X0)) <=> ~humble(X0)) [input... | 0 |
Everyone who is both creative and calm is old. If someone is both not quiet and not calm then fred is not old or calm and vice versa. Everyone who is both not creative and kind is not calm or rich and vice versa. If alice is both old and not calm then someone is quiet or happy and vice versa. Everyone who is kind is bo... | Alice is old. | entailment | (![X]:((creative(X)&calm(X))=>old(X)))&
((?[X]:((~quiet(X)&~calm(X))))<=>((~old(fred)|calm(fred))))&
(![X]:((~creative(X)&kind(X))<=>(~calm(X)|rich(X))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:(kind(X)=>(quiet(X)&generous(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~curious(X)&~tall(X))... | old(alice) | [
"p1",
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 612539241582155404583121
% SZS output start Proof for 612539241582155404583121
2. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred)) [input p1]
3. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p2]
4. (~calm(alice) & old(alice)) <=> ? [X0] : (happy(X0... | 0 |
Everyone who is not strong or tall is both kind and old and vice versa.
If paul is either not old or humble then someone is not strong.
Everyone who is not patient or not tall is either not kind or calm and vice versa.
If someone is either not old or kind then someone is both wise and not wise.
Everyone who is either n... | John is not strong. | contradiction | (![X]:((~strong(X)|tall(X))<=>(kind(X)&old(X))))&
(((~old(paul)<~>humble(paul)))=>(?[X]:(~strong(X))))&
(![X]:((~patient(X)|~tall(X))<=>(~kind(X)<~>calm(X))))&
((?[X]:((~old(X)<~>kind(X))))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(~curious(X)<~>rich(X))))&
((?[X]:((patient(X)&tall(X))))=>((~h... | ~strong(john) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2001963167851411522956787
% SZS output start Proof for 2001963167851411522956787
1. ! [X0] : ((tall(X0) | ~strong(X0)) <=> (old(X0) & kind(X0))) [input p0]
4. ? [X0] : (~old(X0) <~> kind(X0)) => ? [X0] : (~wise(X0) & wise(X0)) [input p3]
19. ~strong(john) [input hypothesis]
20. ? [X0] : (... | 0 |
Everyone who is either not creative or humble is strong.
Everyone who is both not wise and not curious is wise or kind.
Everyone who is not patient or not happy is kind or not brave and vice versa.
If lucy is not rich or generous then someone is old or not wise and vice versa.
Everyone who is funny is calm or old.
Ever... | John is calm. | entailment | (![X]:((~creative(X)<~>humble(X))=>strong(X)))&
(![X]:((~wise(X)&~curious(X))=>(wise(X)|kind(X))))&
(![X]:((~patient(X)|~happy(X))<=>(kind(X)|~brave(X))))&
(((~rich(lucy)|generous(lucy)))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:(funny(X)=>(calm(X)|old(X))))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)&strong(X))))&
((~calm(jo... | calm(john) | [
"p1",
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1446369842531907213757660
% SZS output start Proof for 1446369842531907213757660
2. ! [X0] : ((~curious(X0) & ~wise(X0)) => (kind(X0) | wise(X0))) [input p1]
7. ~calm(john) <=> (~funny(john) & humble(john)) [input p6]
15. ? [X0] : curious(X0) => ~humble(john) [input p14]
23. ? [X0] : (~ki... | 0 |
If lucy is not calm or not happy then john is both funny and wise.
If susan is both funny and curious then john is not brave or funny and vice versa.
Everyone who is not generous is both funny and happy and vice versa.
Everyone who is rich is not curious or not wise and vice versa.
Everyone who is wise is both wise and... | Alice is not funny. | neutral | (((~calm(lucy)|~happy(lucy)))=>((funny(john)&wise(john))))&
(((funny(susan)&curious(susan)))<=>((~brave(john)|funny(john))))&
(![X]:(~generous(X)<=>(funny(X)&happy(X))))&
(![X]:(rich(X)<=>(~curious(X)|~wise(X))))&
(![X]:(wise(X)<=>(wise(X)&~strong(X))))&
(![X]:(~calm(X)=>(~calm(X)|creative(X))))&
((?[X]:((~kind(X)|rich... | ~funny(alice) | [] | null | 0 |
Everyone who is kind or strong is funny or brave.
If paul is either not generous or old then alice is generous.
If someone is both rich and quiet then someone is not tall and vice versa.
If paul is generous or not old then someone is calm or not rich.
If someone is not funny or not curious then susan is either not calm... | Alice is happy. | contradiction | (![X]:((kind(X)|strong(X))=>(funny(X)|brave(X))))&
(((~generous(paul)<~>old(paul)))=>(generous(alice)))&
((?[X]:((rich(X)&quiet(X))))<=>(?[X]:(~tall(X))))&
(((generous(paul)|~old(paul)))=>(?[X]:((calm(X)|~rich(X)))))&
((?[X]:((~funny(X)|~curious(X))))=>((~calm(susan)<~>~kind(susan))))&
(((kind(lucy)|quiet(lucy)))=>((cr... | happy(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6220516012072502685339911
% SZS output start Proof for 6220516012072502685339911
18. ~happy(alice) & ~brave(alice) [input p17]
25. happy(alice) [input hypothesis]
143. ~happy(alice) [cnf transformation 18]
150. happy(alice) [cnf transformation 25]
317. 38 <=> happy(alice) [avatar definiti... | 0 |
Everyone who is happy or strong is either not calm or not brave and vice versa.
Everyone who is not tall or creative is both not happy and not calm.
Everyone who is either not creative or quiet is old or not generous.
If someone is creative or patient then someone is both not humble and wise.
Everyone who is not kind i... | Mary is not strong. | entailment | (![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((~tall(X)|creative(X))=>(~happy(X)&~calm(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(old(X)|~generous(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:(~kind(X)<=>(tall(X)<~>rich(X))))&
(((~funny(fred)&~generous(fred)))<=>(?[X]... | ~strong(mary) | [
"p1",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5343897431589009516375046
% SZS output start Proof for 5343897431589009516375046
2. ! [X0] : ((creative(X0) | ~tall(X0)) => (~calm(X0) & ~happy(X0))) [input p1]
12. ! [X0] : ((~curious(X0) | strong(X0)) => (creative(X0) & ~humble(X0))) [input p11]
16. ! [X0] : ((~happy(X0) | patient(X0)) ... | 0 |
Everyone who is either not strong or not wise is either not generous or not humble.
Everyone who is not curious is both quiet and tall and vice versa.
If someone is either not tall or curious then someone is not happy or funny.
If someone is not generous or wise then lucy is not brave.
If someone is wise then someone i... | Paul is wise. | contradiction | (![X]:((~strong(X)<~>~wise(X))=>(~generous(X)<~>~humble(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
((?[X]:((~tall(X)<~>curious(X))))=>(?[X]:((~happy(X)|funny(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(~brave(lucy)))&
((?[X]:(wise(X)))<=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:((calm(X)|tall(X))<=>~funny(X)))&
(![X... | wise(paul) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8487772339088931166675943
% SZS output start Proof for 8487772339088931166675943
4. ? [X0] : (wise(X0) | ~generous(X0)) => ~brave(lucy) [input p3]
7. ! [X0] : ((~tall(X0) <~> brave(X0)) <=> tall(X0)) [input p6]
21. wise(paul) [input hypothesis]
27. ~brave(lucy) | ! [X0] : (~wise(X0) & gen... | 0 |
Everyone who is both not brave and not curious is both rich and funny. Everyone who is not old is either not brave or generous and vice versa. If lucy is not kind then someone is either not brave or not strong. Everyone who is both not wise and tall is humble and vice versa. If someone is rich then fred is both generou... | Lucy is not kind. | entailment | (![X]:((~brave(X)&~curious(X))=>(rich(X)&funny(X))))&
(![X]:(~old(X)<=>(~brave(X)<~>generous(X))))&
((~kind(lucy))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((~wise(X)&tall(X))<=>humble(X)))&
((?[X]:(rich(X)))=>((generous(fred)&curious(fred))))&
(![X]:(generous(X)<=>~humble(X)))&
(![X]:((calm(X)&~calm(X))=>(old(X)<~>p... | ~kind(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3979577640585593054220128
% SZS output start Proof for 3979577640585593054220128
1. ! [X0] : ((~curious(X0) & ~brave(X0)) => (funny(X0) & rich(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (~brave(X0) <~> generous(X0))) [input p1]
4. ! [X0] : ((tall(X0) & ~wise(X0)) <=> humble(X0)) [input p3... | 0 |
Everyone who is not calm or calm is either not quiet or not tall.
Everyone who is brave is both wise and calm and vice versa.
Everyone who is either not happy or not funny is either not curious or not wise.
Everyone who is not calm or not happy is not tall or tall.
If mary is either kind or not strong then mary is both... | Alice is calm. | neutral | (![X]:((~calm(X)|calm(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:(brave(X)<=>(wise(X)&calm(X))))&
(![X]:((~happy(X)<~>~funny(X))=>(~curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|~happy(X))=>(~tall(X)|tall(X))))&
(((kind(mary)<~>~strong(mary)))<=>((happy(mary)&~quiet(mary))))&
(![X]:((funny(X)|~old(X))=>(~strong(X)|humble(X))))&... | calm(alice) | [] | null | 0 |
If someone is either creative or tall then someone is strong or tall.
Everyone who is not kind or not curious is both generous and wise and vice versa.
If someone is both old and calm then someone is both wise and generous and vice versa.
Everyone who is not kind or creative is funny or patient.
Everyone who is both ge... | Paul is not humble. | neutral | ((?[X]:((creative(X)<~>tall(X))))=>(?[X]:((strong(X)|tall(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(generous(X)&wise(X))))&
((?[X]:((old(X)&calm(X))))<=>(?[X]:((wise(X)&generous(X)))))&
(![X]:((~kind(X)|creative(X))=>(funny(X)|patient(X))))&
(![X]:((generous(X)&~tall(X))<=>(generous(X)<~>~funny(X))))&
((old(fred))<=>((c... | ~humble(paul) | [] | null | 0 |
If someone is both not patient and kind then lucy is either funny or humble. Everyone who is not tall is either strong or not calm and vice versa. Everyone who is funny is not tall or not calm and vice versa. Everyone who is not funny or funny is tall or generous. Everyone who is both not happy and strong is rich or ki... | Lucy is not curious. | entailment | ((?[X]:((~patient(X)&kind(X))))=>((funny(lucy)<~>humble(lucy))))&
(![X]:(~tall(X)<=>(strong(X)<~>~calm(X))))&
(![X]:(funny(X)<=>(~tall(X)|~calm(X))))&
(![X]:((~funny(X)|funny(X))=>(tall(X)|generous(X))))&
(![X]:((~happy(X)&strong(X))<=>(rich(X)|kind(X))))&
(![X]:((~old(X)|~rich(X))<=>(~funny(X)&~happy(X))))&
(![X]:((wi... | ~curious(lucy) | [
"p4",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4468223538192700711624796
% SZS output start Proof for 4468223538192700711624796
5. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (kind(X0) | rich(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | ~old(X0)) <=> (~happy(X0) & ~funny(X0))) [input p5]
11. ! [X0] : ((~quiet(X0) <~> happy(X0)) <=> (~quiet(... | 0 |
Everyone who is kind is generous. If fred is either not humble or not kind then susan is either kind or wise. If someone is either calm or rich then someone is both not brave and quiet. Everyone who is both not quiet and wise is not happy. Everyone who is both humble and not funny is both strong and funny. If lucy is b... | Lucy is calm. | entailment | (![X]:(kind(X)=>generous(X)))&
(((~humble(fred)<~>~kind(fred)))=>((kind(susan)<~>wise(susan))))&
((?[X]:((calm(X)<~>rich(X))))=>(?[X]:((~brave(X)&quiet(X)))))&
(![X]:((~quiet(X)&wise(X))=>~happy(X)))&
(![X]:((humble(X)&~funny(X))=>(strong(X)&funny(X))))&
(((rich(lucy)&~brave(lucy)))<=>(?[X]:(kind(X))))&
(![X]:((~rich(X... | calm(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6171020456362299044764750
% SZS output start Proof for 6171020456362299044764750
3. ? [X0] : (calm(X0) <~> rich(X0)) => ? [X0] : (quiet(X0) & ~brave(X0)) [input p2]
4. ! [X0] : ((wise(X0) & ~quiet(X0)) => ~happy(X0)) [input p3]
5. ! [X0] : ((~funny(X0) & humble(X0)) => (funny(X0) & strong... | 0 |
Everyone who is funny or humble is not tall and vice versa.
Everyone who is either not strong or not wise is both curious and not kind and vice versa.
Everyone who is not generous or generous is both not funny and calm and vice versa.
If someone is not humble or not kind then john is not wise.
Everyone who is patient i... | John is not old. | entailment | (![X]:((funny(X)|humble(X))<=>~tall(X)))&
(![X]:((~strong(X)<~>~wise(X))<=>(curious(X)&~kind(X))))&
(![X]:((~generous(X)|generous(X))<=>(~funny(X)&calm(X))))&
((?[X]:((~humble(X)|~kind(X))))=>(~wise(john)))&
(![X]:(patient(X)=>(old(X)<~>~brave(X))))&
(((strong(mary)<~>~rich(mary)))<=>(~quiet(john)))&
(![X]:((~generous(... | ~old(john) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8539645846699635079586140
% SZS output start Proof for 8539645846699635079586140
2. ! [X0] : ((~strong(X0) <~> ~wise(X0)) <=> (~kind(X0) & curious(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (calm(X0) & ~funny(X0))) [input p2]
4. ? [X0] : (~kind(X0) | ~humble(X0)) => ... | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Mary is not strong. | entailment | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | ~strong(mary) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2056495771396609276401255
% SZS output start Proof for 2056495771396609276401255
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
14. ! [X0] : (quiet(X0) => (~funny(X0) & calm(X0))) [input p13]
21. strong(mary) [input hypot... | 0 |
If someone is either not quiet or happy then someone is both funny and not humble. If fred is funny then paul is not quiet or old. If someone is both not generous and wise then john is either not happy or happy and vice versa. Everyone who is not curious or not tall is either not rich or funny. If someone is either not... | John is quiet. | entailment | ((?[X]:((~quiet(X)<~>happy(X))))=>(?[X]:((funny(X)&~humble(X)))))&
((funny(fred))=>((~quiet(paul)|old(paul))))&
((?[X]:((~generous(X)&wise(X))))<=>((~happy(john)<~>happy(john))))&
(![X]:((~curious(X)|~tall(X))=>(~rich(X)<~>funny(X))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(... | quiet(john) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5689821570198753519272154
% SZS output start Proof for 5689821570198753519272154
7. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> (~quiet(X0) | ~creative(X0))) [input p6]
10. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p9]
21. ~quiet(john) [input hypothesis]
47. ! [X0] : (((~qui... | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Susan is brave. | neutral | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | brave(susan) | [] | null | 0 |
If someone is brave or wise then susan is both not old and not funny.
If someone is curious or creative then mary is both curious and not rich.
Everyone who is kind is not humble or not tall and vice versa.
Everyone who is not happy or brave is funny.
Everyone who is both funny and kind is both kind and not strong and ... | Susan is not tall. | contradiction | ((?[X]:((brave(X)|wise(X))))=>((~old(susan)&~funny(susan))))&
((?[X]:((curious(X)|creative(X))))=>((curious(mary)&~rich(mary))))&
(![X]:(kind(X)<=>(~humble(X)|~tall(X))))&
(![X]:((~happy(X)|brave(X))=>funny(X)))&
(![X]:((funny(X)&kind(X))<=>(kind(X)&~strong(X))))&
(![X]:((~humble(X)&brave(X))=>calm(X)))&
(![X]:((quiet(... | ~tall(susan) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1247380666375956282563624
% SZS output start Proof for 1247380666375956282563624
3. ! [X0] : (kind(X0) <=> (~tall(X0) | ~humble(X0))) [input p2]
12. ! [X0] : ((~calm(X0) | kind(X0)) => tall(X0)) [input p11]
25. ~tall(susan) [input hypothesis]
40. ! [X0] : (tall(X0) | (calm(X0) & ~kind(X0)... | 0 |
If someone is not generous then paul is not strong.
If someone is either calm or happy then paul is both not generous and not old.
Everyone who is both not tall and tall is not kind and vice versa.
If fred is either not kind or happy then someone is both not creative and wise.
If someone is brave then someone is rich o... | Mary is not happy. | entailment | ((?[X]:(~generous(X)))=>(~strong(paul)))&
((?[X]:((calm(X)<~>happy(X))))=>((~generous(paul)&~old(paul))))&
(![X]:((~tall(X)&tall(X))<=>~kind(X)))&
(((~kind(fred)<~>happy(fred)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:(brave(X)))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~calm(X)=>old(X)))&
((?[X]:((kind(X)|~generous... | ~happy(mary) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2427008745495446010253227
% SZS output start Proof for 2427008745495446010253227
2. ? [X0] : (calm(X0) <~> happy(X0)) => (~old(paul) & ~generous(paul)) [input p1]
3. ! [X0] : ((tall(X0) & ~tall(X0)) <=> ~kind(X0)) [input p2]
5. ? [X0] : brave(X0) <=> ? [X0] : (generous(X0) | rich(X0)) [in... | 0 |
Everyone who is old is either not creative or humble.
If someone is both wise and brave then someone is either patient or brave.
If susan is strong or not patient then lucy is both not patient and wise and vice versa.
Everyone who is not old is funny.
If someone is old or not generous then john is not old and vice vers... | John is funny. | entailment | (![X]:(old(X)=>(~creative(X)<~>humble(X))))&
((?[X]:((wise(X)&brave(X))))=>(?[X]:((patient(X)<~>brave(X)))))&
(((strong(susan)|~patient(susan)))<=>((~patient(lucy)&wise(lucy))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:((old(X)|~generous(X))))<=>(~old(john)))&
(((happy(susan)&~kind(susan)))<=>(?[X]:((~quiet(X)<~>~humble(X))... | funny(john) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 9067099769704591716179352
% SZS output start Proof for 9067099769704591716179352
4. ! [X0] : (~old(X0) => funny(X0)) [input p3]
5. ? [X0] : (~generous(X0) | old(X0)) <=> ~old(john) [input p4]
25. ~funny(john) [input hypothesis]
31. ! [X0] : (funny(X0) | old(X0)) [ennf transformation 4]
46... | 0 |
If lucy is either not wise or old then someone is either not curious or not wise. Everyone who is either not happy or patient is either tall or curious. If someone is either not old or not brave then alice is either not funny or not happy and vice versa. Everyone who is happy or humble is either not kind or rich. Every... | Alice is wise. | entailment | (((~wise(lucy)<~>old(lucy)))=>(?[X]:((~curious(X)<~>~wise(X)))))&
(![X]:((~happy(X)<~>patient(X))=>(tall(X)<~>curious(X))))&
((?[X]:((~old(X)<~>~brave(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((happy(X)|humble(X))=>(~kind(X)<~>rich(X))))&
(![X]:((calm(X)<~>~wise(X))<=>funny(X)))&
((?[X]:(kind(X)))<=>(~tall(mar... | wise(alice) | [
"p2",
"p4",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8841359678954647498784631
% SZS output start Proof for 8841359678954647498784631
3. ? [X0] : (~old(X0) <~> ~brave(X0)) <=> (~funny(alice) <~> ~happy(alice)) [input p2]
5. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> funny(X0)) [input p4]
13. ? [X0] : (brave(X0) <~> old(X0)) <=> (~patient(fred) ... | 0 |
If fred is rich then someone is both generous and brave.
Everyone who is both generous and not funny is humble and vice versa.
If someone is either rich or old then lucy is brave.
Everyone who is either calm or humble is both rich and not tall.
If lucy is humble then someone is not old or not curious and vice versa.
If... | Fred is generous. | entailment | ((rich(fred))=>(?[X]:((generous(X)&brave(X)))))&
(![X]:((generous(X)&~funny(X))<=>humble(X)))&
((?[X]:((rich(X)<~>old(X))))=>(brave(lucy)))&
(![X]:((calm(X)<~>humble(X))=>(rich(X)&~tall(X))))&
((humble(lucy))<=>(?[X]:((~old(X)|~curious(X)))))&
((?[X]:((tall(X)|quiet(X))))<=>(?[X]:((~happy(X)|~generous(X)))))&
(![X]:(st... | generous(fred) | [
"p1",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4051037363683680852540867
% SZS output start Proof for 4051037363683680852540867
2. ! [X0] : ((~funny(X0) & generous(X0)) <=> humble(X0)) [input p1]
11. ! [X0] : (~quiet(X0) => (quiet(X0) | creative(X0))) [input p10]
13. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (tall(X0) <~> ~patient(X0... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is happy or not calm is both not patient and old and vice versa.
If fred is strong or old then someone is not kind.
Everyone who is both not bra... | Lucy is brave. | neutral | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((happy(X)|~calm(X))<=>(~patient(X)&old(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)&~humble(X))=>(~calm(X)&strong(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)&creative... | brave(lucy) | [] | null | 0 |
Everyone who is both strong and not funny is not kind and vice versa.
Everyone who is both not quiet and creative is both wise and happy.
Everyone who is tall is not quiet and vice versa.
Everyone who is either not curious or not rich is either not wise or not generous.
Everyone who is either not creative or not calm i... | Lucy is generous. | neutral | (![X]:((strong(X)&~funny(X))<=>~kind(X)))&
(![X]:((~quiet(X)&creative(X))=>(wise(X)&happy(X))))&
(![X]:(tall(X)<=>~quiet(X)))&
(![X]:((~curious(X)<~>~rich(X))=>(~wise(X)<~>~generous(X))))&
(![X]:((~creative(X)<~>~calm(X))<=>(humble(X)|funny(X))))&
((?[X]:(~tall(X)))=>(~happy(john)))&
(![X]:(~happy(X)=>~brave(X)))&
((?[... | generous(lucy) | [] | null | 0 |
Everyone who is not funny or not quiet is strong or not generous and vice versa. Everyone who is either not happy or not creative is either strong or brave. If fred is either not humble or curious then susan is not curious or not creative and vice versa. Everyone who is either not generous or humble is not tall or not ... | John is kind. | neutral | (![X]:((~funny(X)|~quiet(X))<=>(strong(X)|~generous(X))))&
(![X]:((~happy(X)<~>~creative(X))=>(strong(X)<~>brave(X))))&
(((~humble(fred)<~>curious(fred)))<=>((~curious(susan)|~creative(susan))))&
(![X]:((~generous(X)<~>humble(X))=>(~tall(X)|~humble(X))))&
(((~creative(mary)&~old(mary)))<=>(patient(john)))&
(![X]:(brave... | kind(john) | [] | null | 0 |
Everyone who is not calm or strong is both curious and not old and vice versa. Everyone who is not kind or creative is kind or old and vice versa. Everyone who is not old is tall or not generous. Everyone who is not rich is rich or not creative. Everyone who is both not wise and funny is not quiet. If someone is not qu... | Alice is calm. | neutral | (![X]:((~calm(X)|strong(X))<=>(curious(X)&~old(X))))&
(![X]:((~kind(X)|creative(X))<=>(kind(X)|old(X))))&
(![X]:(~old(X)=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)=>(rich(X)|~creative(X))))&
(![X]:((~wise(X)&funny(X))=>~quiet(X)))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(~old(X))))&
(((calm(paul)|~strong(paul)))=>((~cr... | calm(alice) | [] | null | 0 |
Everyone who is either not quiet or calm is both not creative and not curious and vice versa.
If someone is rich then someone is patient and vice versa.
If someone is humble or not kind then fred is not strong or generous and vice versa.
If paul is not strong or not calm then someone is both not calm and humble and vic... | Mary is curious. | neutral | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&~curious(X))))&
((?[X]:(rich(X)))<=>(?[X]:(patient(X))))&
((?[X]:((humble(X)|~kind(X))))<=>((~strong(fred)|generous(fred))))&
(((~strong(paul)|~calm(paul)))<=>(?[X]:((~calm(X)&humble(X)))))&
(![X]:(tall(X)<=>(old(X)|patient(X))))&
(![X]:(patient(X)<=>(funny(X)&~quiet(X))))&
... | curious(mary) | [] | null | 0 |
Everyone who is either kind or not kind is old.
If mary is not humble then john is not quiet or not curious.
If susan is either not quiet or not rich then alice is either brave or not strong.
If someone is either not calm or not patient then someone is calm or rich and vice versa.
Everyone who is not wise or not kind i... | Paul is quiet. | contradiction | (![X]:((kind(X)<~>~kind(X))=>old(X)))&
((~humble(mary))=>((~quiet(john)|~curious(john))))&
(((~quiet(susan)<~>~rich(susan)))=>((brave(alice)<~>~strong(alice))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~wise(X)|~kind(X))<=>tall(X)))&
(![X]:(~quiet(X)=>(~generous(X)<~>~quiet(X))))&
(((~... | quiet(paul) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3903580915170679690158552
% SZS output start Proof for 3903580915170679690158552
1. ! [X0] : ((kind(X0) <~> ~kind(X0)) => old(X0)) [input p0]
10. ! [X0] : (~old(X0) <=> (old(X0) <~> ~quiet(X0))) [input p9]
23. quiet(paul) [input hypothesis]
29. ! [X0] : (old(X0) | (kind(X0) <=> ~kind(X0))... | 0 |
Everyone who is both rich and not happy is not old or calm and vice versa.
Everyone who is happy or not humble is happy and vice versa.
Everyone who is both not brave and humble is both kind and not wise and vice versa.
Everyone who is both tall and old is humble or not strong and vice versa.
If fred is not calm then s... | Fred is not brave. | contradiction | (![X]:((rich(X)&~happy(X))<=>(~old(X)|calm(X))))&
(![X]:((happy(X)|~humble(X))<=>happy(X)))&
(![X]:((~brave(X)&humble(X))<=>(kind(X)&~wise(X))))&
(![X]:((tall(X)&old(X))<=>(humble(X)|~strong(X))))&
((~calm(fred))<=>(?[X]:((generous(X)<~>calm(X)))))&
(![X]:((kind(X)|old(X))=>quiet(X)))&
(![X]:((~happy(X)|~tall(X))<=>(~s... | ~brave(fred) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6858963284964478481324353
% SZS output start Proof for 6858963284964478481324353
1. ! [X0] : ((~happy(X0) & rich(X0)) <=> (calm(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | happy(X0)) <=> happy(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~brave(X0)) <=> (~wise(X0) & kind(X0))) [... | 0 |
If mary is both not brave and not tall then alice is not calm.
Everyone who is kind is both not patient and not brave and vice versa.
Everyone who is either not calm or not strong is not happy or not humble.
Everyone who is generous is either not quiet or not calm and vice versa.
Everyone who is not generous is either ... | Lucy is not old. | neutral | (((~brave(mary)&~tall(mary)))=>(~calm(alice)))&
(![X]:(kind(X)<=>(~patient(X)&~brave(X))))&
(![X]:((~calm(X)<~>~strong(X))=>(~happy(X)|~humble(X))))&
(![X]:(generous(X)<=>(~quiet(X)<~>~calm(X))))&
(![X]:(~generous(X)<=>(generous(X)<~>~generous(X))))&
(((strong(lucy)&~wise(lucy)))<=>(?[X]:((humble(X)&~quiet(X)))))&
(![X... | ~old(lucy) | [] | null | 0 |
Everyone who is either not quiet or calm is both not creative and not curious and vice versa.
If someone is rich then someone is patient and vice versa.
If someone is humble or not kind then fred is not strong or generous and vice versa.
If paul is not strong or not calm then someone is both not calm and humble and vic... | Alice is strong. | neutral | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&~curious(X))))&
((?[X]:(rich(X)))<=>(?[X]:(patient(X))))&
((?[X]:((humble(X)|~kind(X))))<=>((~strong(fred)|generous(fred))))&
(((~strong(paul)|~calm(paul)))<=>(?[X]:((~calm(X)&humble(X)))))&
(![X]:(tall(X)<=>(old(X)|patient(X))))&
(![X]:(patient(X)<=>(funny(X)&~quiet(X))))&
... | strong(alice) | [] | null | 0 |
Everyone who is generous or not generous is strong and vice versa. Everyone who is not wise is either happy or not brave and vice versa. If paul is not rich or old then lucy is calm or kind. If someone is not quiet or rich then susan is tall. If someone is either not old or not creative then mary is either not happy or... | Lucy is humble. | contradiction | (![X]:((generous(X)|~generous(X))<=>strong(X)))&
(![X]:(~wise(X)<=>(happy(X)<~>~brave(X))))&
(((~rich(paul)|old(paul)))=>((calm(lucy)|kind(lucy))))&
((?[X]:((~quiet(X)|rich(X))))=>(tall(susan)))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((... | humble(lucy) | [
"p3",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9159970916034808483118483
% SZS output start Proof for 9159970916034808483118483
4. ? [X0] : (rich(X0) | ~quiet(X0)) => tall(susan) [input p3]
9. ! [X0] : ((rich(X0) | humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p8]
15. ? [X0] : (~wise(X0) <~> tall(X0)) => ~wise(susan) [input p14]
16.... | 0 |
Everyone who is both creative and funny is both strong and rich and vice versa.
Everyone who is not humble is either rich or patient.
If alice is happy or curious then someone is kind and vice versa.
If mary is either strong or creative then mary is not tall or wise.
Everyone who is rich is generous.
If mary is both no... | Lucy is rich. | neutral | (![X]:((creative(X)&funny(X))<=>(strong(X)&rich(X))))&
(![X]:(~humble(X)=>(rich(X)<~>patient(X))))&
(((happy(alice)|curious(alice)))<=>(?[X]:(kind(X))))&
(((strong(mary)<~>creative(mary)))=>((~tall(mary)|wise(mary))))&
(![X]:(rich(X)=>generous(X)))&
(((~patient(mary)&~brave(mary)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(... | rich(lucy) | [] | null | 0 |
If someone is both curious and brave then mary is not quiet or curious. If susan is wise or tall then someone is not generous or not wise. If mary is either not old or wise then someone is either not generous or brave and vice versa. If john is curious or happy then fred is creative or not quiet. Everyone who is creati... | Lucy is generous. | neutral | ((?[X]:((curious(X)&brave(X))))=>((~quiet(mary)|curious(mary))))&
(((wise(susan)|tall(susan)))=>(?[X]:((~generous(X)|~wise(X)))))&
(((~old(mary)<~>wise(mary)))<=>(?[X]:((~generous(X)<~>brave(X)))))&
(((curious(john)|happy(john)))=>((creative(fred)|~quiet(fred))))&
(![X]:((creative(X)|~patient(X))=>~calm(X)))&
(((genero... | generous(lucy) | [] | null | 0 |
If fred is either not happy or not calm then mary is both quiet and tall.
Everyone who is either not old or kind is both not humble and not wise.
If alice is not patient then someone is tall or happy.
Everyone who is strong is not calm or generous and vice versa.
Everyone who is both not generous and old is either rich... | Alice is quiet. | contradiction | (((~happy(fred)<~>~calm(fred)))=>((quiet(mary)&tall(mary))))&
(![X]:((~old(X)<~>kind(X))=>(~humble(X)&~wise(X))))&
((~patient(alice))=>(?[X]:((tall(X)|happy(X)))))&
(![X]:(strong(X)<=>(~calm(X)|generous(X))))&
(![X]:((~generous(X)&old(X))=>(rich(X)<~>tall(X))))&
((?[X]:((~wise(X)&~strong(X))))<=>((~generous(mary)&~quie... | quiet(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 171369430443909891892756
% SZS output start Proof for 171369430443909891892756
17. ~patient(alice) & ~quiet(alice) [input p16]
25. quiet(alice) [input hypothesis]
126. ~quiet(alice) [cnf transformation 17]
136. quiet(alice) [cnf transformation 25]
334. $false [subsumption resolution 136,1... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is both generous and funny then mary is not happy or not generous and vice versa.
If paul is either kind... | John is not old. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:((generous(X)&funny(X))))<=>((~happy(mary)|~generous(mary))))&
(((kind(paul)<~>quiet(paul)))<=>((rich(susan)<~>old(susan))))&
(![X]:((~curious(X)<~>~happy(X))=>(~hum... | ~old(john) | [
"p2",
"p3",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3163308653172333317604665
% SZS output start Proof for 3163308653172333317604665
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ? [X0] : (funny(X0) & generous(X0)) <=> (~generous(mary) | ~happy(mary)) [input p3]
9. ! [X0] : ((rich(X0) <~> tall(X0)) <=> (... | 0 |
If john is both not creative and tall then someone is wise or generous and vice versa.
If alice is both brave and wise then lucy is tall and vice versa.
If someone is either not strong or strong then someone is not wise or not quiet.
If mary is both calm and not calm then john is not curious or not quiet and vice versa... | Mary is not old. | contradiction | (((~creative(john)&tall(john)))<=>(?[X]:((wise(X)|generous(X)))))&
(((brave(alice)&wise(alice)))<=>(tall(lucy)))&
((?[X]:((~strong(X)<~>strong(X))))=>(?[X]:((~wise(X)|~quiet(X)))))&
(((calm(mary)&~calm(mary)))<=>((~curious(john)|~quiet(john))))&
(((~creative(fred)<~>~happy(fred)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
((?[... | ~old(mary) | [
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4554249384761945177195001
% SZS output start Proof for 4554249384761945177195001
7. ! [X0] : ((generous(X0) & ~kind(X0)) <=> (~rich(X0) | ~curious(X0))) [input p6]
13. (rich(lucy) <~> ~generous(lucy)) <=> (~brave(mary) | ~old(mary)) [input p12]
15. ! [X0] : ((brave(X0) <~> rich(X0)) <=> b... | 0 |
If someone is not tall then someone is either generous or quiet and vice versa.
Everyone who is wise is funny or not tall.
Everyone who is tall is both rich and funny and vice versa.
Everyone who is either creative or strong is both not calm and not brave and vice versa.
Everyone who is not tall or rich is both tall an... | Fred is funny. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
(![X]:(wise(X)=>(funny(X)|~tall(X))))&
(![X]:(tall(X)<=>(rich(X)&funny(X))))&
(![X]:((creative(X)<~>strong(X))<=>(~calm(X)&~brave(X))))&
(![X]:((~tall(X)|rich(X))=>(tall(X)&calm(X))))&
(![X]:((generous(X)|patient(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((tall(X)&humb... | funny(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1559693926765746578582163
% SZS output start Proof for 1559693926765746578582163
3. ! [X0] : (tall(X0) <=> (funny(X0) & rich(X0))) [input p2]
5. ! [X0] : ((rich(X0) | ~tall(X0)) => (calm(X0) & tall(X0))) [input p4]
20. ~funny(fred) [input hypothesis]
25. ! [X0] : ((calm(X0) & tall(X0)) | ... | 0 |
Everyone who is not tall or strong is either calm or not funny and vice versa.
If someone is not brave or not rich then someone is both not quiet and quiet and vice versa.
If mary is not funny or not brave then paul is strong and vice versa.
If john is either not rich or wise then someone is either old or not wise.
Eve... | Lucy is rich. | entailment | (![X]:((~tall(X)|strong(X))<=>(calm(X)<~>~funny(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(?[X]:((~quiet(X)&quiet(X)))))&
(((~funny(mary)|~brave(mary)))<=>(strong(paul)))&
(((~rich(john)<~>wise(john)))=>(?[X]:((old(X)<~>~wise(X)))))&
(![X]:((~generous(X)|brave(X))<=>~wise(X)))&
((~brave(lucy))=>(?[X]:(~patient(X))))&
(![... | rich(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3458516778857406317757284
% SZS output start Proof for 3458516778857406317757284
2. ? [X0] : (~rich(X0) | ~brave(X0)) <=> ? [X0] : (quiet(X0) & ~quiet(X0)) [input p1]
24. ~rich(lucy) [input hypothesis]
25. ? [X0] : (~rich(X0) | ~brave(X0)) <=> ? [X1] : (quiet(X1) & ~quiet(X1)) [rectify 2]... | 0 |
If susan is either creative or generous then mary is not funny or not kind.
If alice is either not rich or wise then someone is quiet and vice versa.
If lucy is curious or not calm then fred is not wise and vice versa.
Everyone who is either calm or not patient is both calm and tall and vice versa.
If susan is either c... | Paul is not creative. | neutral | (((creative(susan)<~>generous(susan)))=>((~funny(mary)|~kind(mary))))&
(((~rich(alice)<~>wise(alice)))<=>(?[X]:(quiet(X))))&
(((curious(lucy)|~calm(lucy)))<=>(~wise(fred)))&
(![X]:((calm(X)<~>~patient(X))<=>(calm(X)&tall(X))))&
(((calm(susan)<~>~wise(susan)))<=>((~patient(paul)<~>generous(paul))))&
((?[X]:((~rich(X)<~>... | ~creative(paul) | [] | null | 0 |
If someone is not happy then fred is tall.
If someone is both not tall and patient then someone is both not humble and creative.
If someone is both old and not tall then paul is not old.
Everyone who is both not tall and quiet is wise or humble and vice versa.
Everyone who is not humble or not quiet is both tall and fu... | Fred is rich. | neutral | ((?[X]:(~happy(X)))=>(tall(fred)))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
((?[X]:((old(X)&~tall(X))))=>(~old(paul)))&
(![X]:((~tall(X)&quiet(X))<=>(wise(X)|humble(X))))&
(![X]:((~humble(X)|~quiet(X))=>(tall(X)&funny(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(brave(X)&~brave(X))))&
(((~patien... | rich(fred) | [] | null | 0 |
If alice is both rich and not quiet then fred is either not wise or funny and vice versa. Everyone who is both not quiet and humble is not creative and vice versa. Everyone who is either not curious or not creative is not strong or happy. Everyone who is either not funny or old is old or not funny. Everyone who is gene... | Alice is not wise. | neutral | (((rich(alice)&~quiet(alice)))<=>((~wise(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&humble(X))<=>~creative(X)))&
(![X]:((~curious(X)<~>~creative(X))=>(~strong(X)|happy(X))))&
(![X]:((~funny(X)<~>old(X))=>(old(X)|~funny(X))))&
(![X]:(generous(X)<=>(~quiet(X)|creative(X))))&
((?[X]:(~rich(X)))<=>((~old(lucy)<~>~patient(lu... | ~wise(alice) | [] | null | 0 |
Everyone who is both funny and not brave is patient and vice versa. Everyone who is tall is not patient or not brave and vice versa. If john is not quiet then someone is not brave or tall. If someone is not creative or humble then paul is both not calm and not patient. Everyone who is strong or humble is not quiet or c... | Mary is not rich. | neutral | (![X]:((funny(X)&~brave(X))<=>patient(X)))&
(![X]:(tall(X)<=>(~patient(X)|~brave(X))))&
((~quiet(john))=>(?[X]:((~brave(X)|tall(X)))))&
((?[X]:((~creative(X)|humble(X))))=>((~calm(paul)&~patient(paul))))&
(![X]:((strong(X)|humble(X))<=>(~quiet(X)|curious(X))))&
(((~old(john)|patient(john)))=>(?[X]:((brave(X)&old(X)))))... | ~rich(mary) | [] | null | 0 |
If susan is both not creative and happy then susan is both not rich and not brave and vice versa. Everyone who is either not creative or humble is either not rich or quiet. Everyone who is both rich and not rich is tall or kind and vice versa. If alice is both not kind and not patient then someone is kind. If someone i... | Susan is happy. | contradiction | (((~creative(susan)&happy(susan)))<=>((~rich(susan)&~brave(susan))))&
(![X]:((~creative(X)<~>humble(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((rich(X)&~rich(X))<=>(tall(X)|kind(X))))&
(((~kind(alice)&~patient(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~happy(fred)|~strong(fred))))&
(((brave(mary)<~>~pa... | happy(susan) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7508563259804004345303458
% SZS output start Proof for 7508563259804004345303458
3. ! [X0] : ((~rich(X0) & rich(X0)) <=> (kind(X0) | tall(X0))) [input p2]
10. ! [X0] : ((happy(X0) | ~rich(X0)) => (strong(X0) & tall(X0))) [input p9]
22. happy(susan) [input hypothesis]
28. ! [X0] : ((strong... | 0 |
If someone is tall then someone is either happy or tall. If paul is both strong and happy then someone is old and vice versa. Everyone who is creative is not wise and vice versa. Everyone who is rich is not funny and vice versa. If fred is either not quiet or wise then john is either not patient or wise. Everyone who i... | Susan is not humble. | neutral | ((?[X]:(tall(X)))=>(?[X]:((happy(X)<~>tall(X)))))&
(((strong(paul)&happy(paul)))<=>(?[X]:(old(X))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:(rich(X)<=>~funny(X)))&
(((~quiet(fred)<~>wise(fred)))=>((~patient(john)<~>wise(john))))&
(![X]:((~happy(X)&curious(X))=>~kind(X)))&
(((strong(susan)<~>wise(susan)))=>(?[X]:((calm(... | ~humble(susan) | [] | null | 0 |
Everyone who is not brave or not rich is both tall and wise and vice versa.
If someone is either strong or not happy then susan is both patient and not patient and vice versa.
Everyone who is not rich is funny or calm and vice versa.
If lucy is tall or calm then someone is funny and vice versa.
Everyone who is either n... | Paul is kind. | contradiction | (![X]:((~brave(X)|~rich(X))<=>(tall(X)&wise(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>((patient(susan)&~patient(susan))))&
(![X]:(~rich(X)<=>(funny(X)|calm(X))))&
(((tall(lucy)|calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~kind(X)))&
(((curious(paul)&patient(paul)))<=>(~brave(mary)))&
(![X]:(... | kind(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6852449131501170005204369
% SZS output start Proof for 6852449131501170005204369
5. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~kind(X0)) [input p4]
25. kind(paul) [input hypothesis]
48. ! [X0] : ((((~curious(X0) | curious(X0)) & (curious(X0) | ~curious(X0))) | kind(X0)) & (~kind(X0) | ... | 0 |
If john is wise or strong then someone is both brave and not patient.
If alice is both not brave and not patient then someone is either kind or rich.
If someone is not generous then john is not rich or rich and vice versa.
Everyone who is either old or not old is either humble or curious.
Everyone who is either not bra... | Mary is not rich. | contradiction | (((wise(john)|strong(john)))=>(?[X]:((brave(X)&~patient(X)))))&
(((~brave(alice)&~patient(alice)))=>(?[X]:((kind(X)<~>rich(X)))))&
((?[X]:(~generous(X)))<=>((~rich(john)|rich(john))))&
(![X]:((old(X)<~>~old(X))=>(humble(X)<~>curious(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~curious(X)|happy(X))))&
(![X]:(~creative(X... | ~rich(mary) | [
"p3",
"p4",
"p5",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 780266105661242212046655
% SZS output start Proof for 780266105661242212046655
4. ! [X0] : ((old(X0) <~> ~old(X0)) => (humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (happy(X0) | ~curious(X0))) [input p4]
6. ! [X0] : (~creative(X0) <=> (~tall(X0) &... | 0 |
If someone is curious or strong then fred is brave. Everyone who is brave is not humble and vice versa. If lucy is not funny or strong then fred is not rich. Everyone who is either not brave or old is either not funny or not tall and vice versa. If alice is both not kind and not funny then someone is either not quiet o... | Fred is quiet. | neutral | ((?[X]:((curious(X)|strong(X))))=>(brave(fred)))&
(![X]:(brave(X)<=>~humble(X)))&
(((~funny(lucy)|strong(lucy)))=>(~rich(fred)))&
(![X]:((~brave(X)<~>old(X))<=>(~funny(X)<~>~tall(X))))&
(((~kind(alice)&~funny(alice)))=>(?[X]:((~quiet(X)<~>~humble(X)))))&
((~generous(lucy))<=>((~funny(paul)<~>~rich(paul))))&
(![X]:((~ol... | quiet(fred) | [] | null | 0 |
If someone is not strong then someone is old or not old and vice versa.
If someone is either not generous or not brave then someone is both not old and not funny.
Everyone who is both not quiet and not funny is either creative or not generous and vice versa.
Everyone who is either generous or not quiet is not strong or... | Susan is not calm. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~old(X)))))&
((?[X]:((~generous(X)<~>~brave(X))))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~quiet(X)&~funny(X))<=>(creative(X)<~>~generous(X))))&
(![X]:((generous(X)<~>~quiet(X))<=>(~strong(X)|calm(X))))&
(![X]:((funny(X)|~quiet(X))<=>~calm(X)))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:(... | ~calm(susan) | [
"p4",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8663849980661687182278518
% SZS output start Proof for 8663849980661687182278518
5. ! [X0] : ((~quiet(X0) | funny(X0)) <=> ~calm(X0)) [input p4]
14. ! [X0] : (brave(X0) => (quiet(X0) & funny(X0))) [input p13]
20. brave(susan) & rich(susan) [input p19]
25. calm(susan) [input hypothesis]
37... | 0 |
Everyone who is not generous is not happy and vice versa.
Everyone who is both not generous and not old is old or tall.
Everyone who is either creative or calm is either not funny or curious.
If paul is not curious or not tall then someone is both not curious and not old.
Everyone who is old or not quiet is both not ha... | Paul is happy. | entailment | (![X]:(~generous(X)<=>~happy(X)))&
(![X]:((~generous(X)&~old(X))=>(old(X)|tall(X))))&
(![X]:((creative(X)<~>calm(X))=>(~funny(X)<~>curious(X))))&
(((~curious(paul)|~tall(paul)))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((old(X)|~quiet(X))=>(~happy(X)&funny(X))))&
(![X]:(~tall(X)=>(~wise(X)<~>wise(X))))&
(![X]:((strong(X... | happy(paul) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2272314673549608555187600
% SZS output start Proof for 2272314673549608555187600
1. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p0]
22. generous(paul) [input p21]
25. ~happy(paul) [input hypothesis]
46. ! [X0] : ((~generous(X0) | happy(X0)) & (~happy(X0) | generous(X0))) [nnf transform... | 0 |
Everyone who is both not patient and not old is rich and vice versa.
Everyone who is either quiet or not quiet is either quiet or not humble and vice versa.
If mary is not humble then someone is not quiet and vice versa.
Everyone who is not tall or humble is not creative.
If alice is humble then fred is either not rich... | Paul is not happy. | neutral | (![X]:((~patient(X)&~old(X))<=>rich(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(quiet(X)<~>~humble(X))))&
((~humble(mary))<=>(?[X]:(~quiet(X))))&
(![X]:((~tall(X)|humble(X))=>~creative(X)))&
((humble(alice))<=>((~rich(fred)<~>~wise(fred))))&
(![X]:((generous(X)<~>brave(X))=>(~quiet(X)|~creative(X))))&
(![X]:(tall(X)=>calm(X... | ~happy(paul) | [] | null | 0 |
Everyone who is not quiet is brave or wise. Everyone who is both curious and happy is not brave. Everyone who is tall or creative is funny. Everyone who is not wise is creative or not brave and vice versa. If someone is both not humble and happy then someone is wise and vice versa. If alice is either not wise or kind t... | Alice is kind. | neutral | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>~brave(X)))&
(![X]:((tall(X)|creative(X))=>funny(X)))&
(![X]:(~wise(X)<=>(creative(X)|~brave(X))))&
((?[X]:((~humble(X)&happy(X))))<=>(?[X]:(wise(X))))&
(((~wise(alice)<~>kind(alice)))=>(?[X]:((~happy(X)&happy(X)))))&
((?[X]:((curious(X)|funny(X))))=... | kind(alice) | [] | null | 0 |
Everyone who is either creative or not funny is not strong.
If lucy is either quiet or creative then susan is both kind and happy and vice versa.
If susan is curious or not generous then someone is humble or not happy.
If susan is both not strong and funny then someone is not quiet or wise and vice versa.
If someone is... | Susan is tall. | neutral | (![X]:((creative(X)<~>~funny(X))=>~strong(X)))&
(((quiet(lucy)<~>creative(lucy)))<=>((kind(susan)&happy(susan))))&
(((curious(susan)|~generous(susan)))=>(?[X]:((humble(X)|~happy(X)))))&
(((~strong(susan)&funny(susan)))<=>(?[X]:((~quiet(X)|wise(X)))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((happy(X)<~>~generous(X)))... | tall(susan) | [] | null | 0 |
If someone is either creative or not generous then mary is quiet or not quiet. Everyone who is not creative or old is either not brave or humble and vice versa. If mary is old then someone is calm or rich and vice versa. If paul is both not funny and generous then someone is either not curious or not brave and vice ver... | John is not humble. | entailment | ((?[X]:((creative(X)<~>~generous(X))))=>((quiet(mary)|~quiet(mary))))&
(![X]:((~creative(X)|old(X))<=>(~brave(X)<~>humble(X))))&
((old(mary))<=>(?[X]:((calm(X)|rich(X)))))&
(((~funny(paul)&generous(paul)))<=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:(~happy(X)))<=>((brave(fred)|~generous(fred))))&
(![X]:((old(X)&crea... | ~humble(john) | [
"p1",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6299707685867399730609762
% SZS output start Proof for 6299707685867399730609762
2. ! [X0] : ((old(X0) | ~creative(X0)) <=> (~brave(X0) <~> humble(X0))) [input p1]
6. ! [X0] : ((creative(X0) & old(X0)) <=> (brave(X0) & generous(X0))) [input p5]
7. ! [X0] : (generous(X0) => (~generous(X0) ... | 0 |
Everyone who is both rich and kind is both not creative and rich and vice versa. Everyone who is not quiet is wise or not calm and vice versa. Everyone who is either tall or calm is not quiet and vice versa. Everyone who is tall is not funny or not rich and vice versa. Everyone who is not strong is either rich or wise.... | Paul is humble. | entailment | (![X]:((rich(X)&kind(X))<=>(~creative(X)&rich(X))))&
(![X]:(~quiet(X)<=>(wise(X)|~calm(X))))&
(![X]:((tall(X)<~>calm(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~funny(X)|~rich(X))))&
(![X]:(~strong(X)=>(rich(X)<~>wise(X))))&
(![X]:(~old(X)=>~kind(X)))&
(((calm(paul)<~>~rich(paul)))=>((~humble(john)|kind(john))))&
((~funny(lu... | humble(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2091416641952933615873419
% SZS output start Proof for 2091416641952933615873419
13. ! [X0] : ((humble(X0) & ~strong(X0)) <=> ~humble(X0)) [input p12]
23. ~humble(paul) [input hypothesis]
50. ! [X0] : (((humble(X0) & ~strong(X0)) | humble(X0)) & (~humble(X0) | (~humble(X0) | strong(X0))))... | 0 |
If someone is both tall and rich then someone is curious or humble. Everyone who is either creative or not tall is both not quiet and not tall. If paul is either not generous or not kind then someone is not generous and vice versa. Everyone who is both not patient and strong is not patient. If someone is either not hap... | Lucy is creative. | contradiction | ((?[X]:((tall(X)&rich(X))))=>(?[X]:((curious(X)|humble(X)))))&
(![X]:((creative(X)<~>~tall(X))=>(~quiet(X)&~tall(X))))&
(((~generous(paul)<~>~kind(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)&strong(X))=>~patient(X)))&
((?[X]:((~happy(X)<~>humble(X))))<=>(~kind(fred)))&
((~funny(paul))<=>((brave(lucy)|quiet(lu... | creative(lucy) | [
"p8",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5748213026564184608135229
% SZS output start Proof for 5748213026564184608135229
9. ! [X0] : ((strong(X0) | humble(X0)) => (~wise(X0) & tall(X0))) [input p8]
11. ! [X0] : (~happy(X0) <=> creative(X0)) [input p10]
16. ? [X0] : (~happy(X0) | ~tall(X0)) => (~tall(susan) & ~funny(susan)) [inp... | 0 |
If paul is either not tall or not strong then paul is not funny or funny.
If susan is either not creative or patient then someone is either not old or tall and vice versa.
Everyone who is not strong is not tall or happy.
Everyone who is both not tall and calm is both rich and kind.
Everyone who is calm is both humble a... | Susan is quiet. | neutral | (((~tall(paul)<~>~strong(paul)))=>((~funny(paul)|funny(paul))))&
(((~creative(susan)<~>patient(susan)))<=>(?[X]:((~old(X)<~>tall(X)))))&
(![X]:(~strong(X)=>(~tall(X)|happy(X))))&
(![X]:((~tall(X)&calm(X))=>(rich(X)&kind(X))))&
(![X]:(calm(X)<=>(humble(X)&~kind(X))))&
(![X]:((generous(X)<~>creative(X))<=>~wise(X)))&
(![... | quiet(susan) | [] | null | 0 |
Everyone who is either not humble or wise is not calm and vice versa.
Everyone who is either funny or strong is humble or calm.
If alice is either quiet or not generous then someone is not brave and vice versa.
Everyone who is generous or not funny is either tall or not rich.
If susan is rich or strong then fred is bot... | John is calm. | entailment | (![X]:((~humble(X)<~>wise(X))<=>~calm(X)))&
(![X]:((funny(X)<~>strong(X))=>(humble(X)|calm(X))))&
(((quiet(alice)<~>~generous(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((generous(X)|~funny(X))=>(tall(X)<~>~rich(X))))&
(((rich(susan)|strong(susan)))<=>((~strong(fred)&~happy(fred))))&
(![X]:((calm(X)&~rich(X))<=>happy(X)))&
... | calm(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8395074567908267381164998
% SZS output start Proof for 8395074567908267381164998
12. ! [X0] : (humble(X0) <=> (humble(X0) <~> ~calm(X0))) [input p11]
23. ~calm(john) [input hypothesis]
47. ! [X0] : ((humble(X0) | ((humble(X0) | calm(X0)) & (~calm(X0) | ~humble(X0)))) & (((calm(X0) | ~humb... | 0 |
If someone is not rich then someone is either curious or wise and vice versa. If paul is not calm then someone is not patient or not funny. Everyone who is rich or not humble is both rich and not patient and vice versa. Everyone who is generous or kind is both strong and not creative and vice versa. Everyone who is eit... | Mary is curious. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((curious(X)<~>wise(X)))))&
((~calm(paul))=>(?[X]:((~patient(X)|~funny(X)))))&
(![X]:((rich(X)|~humble(X))<=>(rich(X)&~patient(X))))&
(![X]:((generous(X)|kind(X))<=>(strong(X)&~creative(X))))&
(![X]:((rich(X)<~>tall(X))<=>calm(X)))&
(![X]:(creative(X)=>(~tall(X)<~>~generous(X))))&
(![X]:((~cu... | curious(mary) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8483828089262819239927334
% SZS output start Proof for 8483828089262819239927334
3. ! [X0] : ((~humble(X0) | rich(X0)) <=> (~patient(X0) & rich(X0))) [input p2]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> (~creative(X0) & strong(X0))) [input p3]
7. ! [X0] : ((~patient(X0) & ~curious(X0)) <... | 0 |
Everyone who is patient is not strong or not humble and vice versa.
If someone is either not brave or strong then someone is both not calm and not old.
Everyone who is either creative or not humble is not tall or kind.
If someone is either quiet or creative then someone is not quiet or happy.
If someone is not funny or... | Fred is not humble. | neutral | (![X]:(patient(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>~humble(X))=>(~tall(X)|kind(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:((~funny(X)|curious(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)<~>calm(... | ~humble(fred) | [] | null | 0 |
If someone is not happy or not wise then paul is either not kind or not creative and vice versa.
If someone is either not kind or not creative then lucy is either not generous or not creative.
Everyone who is not generous or curious is either patient or funny and vice versa.
Everyone who is not funny is patient or not ... | Lucy is creative. | neutral | ((?[X]:((~happy(X)|~wise(X))))<=>((~kind(paul)<~>~creative(paul))))&
((?[X]:((~kind(X)<~>~creative(X))))=>((~generous(lucy)<~>~creative(lucy))))&
(![X]:((~generous(X)|curious(X))<=>(patient(X)<~>funny(X))))&
(![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X)))... | creative(lucy) | [] | null | 0 |
If fred is either not rich or not strong then someone is not wise or calm and vice versa.
Everyone who is not strong or brave is either not generous or not old and vice versa.
If lucy is either quiet or not curious then someone is not brave and vice versa.
If alice is calm then someone is patient or old and vice versa.... | Susan is not patient. | neutral | (((~rich(fred)<~>~strong(fred)))<=>(?[X]:((~wise(X)|calm(X)))))&
(![X]:((~strong(X)|brave(X))<=>(~generous(X)<~>~old(X))))&
(((quiet(lucy)<~>~curious(lucy)))<=>(?[X]:(~brave(X))))&
((calm(alice))<=>(?[X]:((patient(X)|old(X)))))&
((?[X]:((generous(X)&old(X))))<=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((strong(X)|~rich(X)... | ~patient(susan) | [] | null | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Paul is not happy. | contradiction | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | ~happy(paul) | [
"p0",
"p5",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5514623700451642724319241
% SZS output start Proof for 5514623700451642724319241
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
6. (~funny(paul) <~> ~kind(paul)) => (~creative(paul) | rich(paul)) [input p5]
9. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~s... | 0 |
Everyone who is both creative and wise is not humble or strong.
Everyone who is not quiet is tall.
If someone is tall or quiet then mary is funny or not tall and vice versa.
Everyone who is not creative or funny is not generous or not calm and vice versa.
If someone is both not humble and generous then someone is not p... | Lucy is wise. | contradiction | (![X]:((creative(X)&wise(X))=>(~humble(X)|strong(X))))&
(![X]:(~quiet(X)=>tall(X)))&
((?[X]:((tall(X)|quiet(X))))<=>((funny(mary)|~tall(mary))))&
(![X]:((~creative(X)|funny(X))<=>(~generous(X)|~calm(X))))&
((?[X]:((~humble(X)&generous(X))))=>(?[X]:((~patient(X)|curious(X)))))&
(((brave(lucy)&~strong(lucy)))<=>(?[X]:(ol... | wise(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7138829533642485218289559
% SZS output start Proof for 7138829533642485218289559
15. ! [X0] : ((wise(X0) | old(X0)) <=> (~wise(X0) & ~kind(X0))) [input p14]
25. wise(lucy) [input hypothesis]
67. ! [X0] : (((wise(X0) | old(X0)) | (wise(X0) | kind(X0))) & ((~wise(X0) & ~kind(X0)) | (~wise(X... | 0 |
Everyone who is both calm and not brave is humble or not curious and vice versa.
If someone is not brave or wise then mary is both not tall and creative.
Everyone who is wise or humble is not strong.
Everyone who is either strong or rich is both not rich and not curious and vice versa.
If mary is both not calm and crea... | Mary is not humble. | entailment | (![X]:((calm(X)&~brave(X))<=>(humble(X)|~curious(X))))&
((?[X]:((~brave(X)|wise(X))))=>((~tall(mary)&creative(mary))))&
(![X]:((wise(X)|humble(X))=>~strong(X)))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~tall(X)<~>generous(X))=>... | ~humble(mary) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9037544488431048458496410
% SZS output start Proof for 9037544488431048458496410
1. ! [X0] : ((~brave(X0) & calm(X0)) <=> (~curious(X0) | humble(X0))) [input p0]
5. (creative(mary) & ~calm(mary)) <=> (curious(susan) | brave(susan)) [input p4]
12. ! [X0] : ((happy(X0) & curious(X0)) <=> (~... | 0 |
If mary is not humble then mary is not humble or kind.
Everyone who is not rich or not calm is not kind or not curious and vice versa.
Everyone who is either creative or not wise is funny.
If paul is both old and generous then fred is not brave or tall and vice versa.
If someone is either brave or not strong then john ... | John is funny. | neutral | ((~humble(mary))=>((~humble(mary)|kind(mary))))&
(![X]:((~rich(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((creative(X)<~>~wise(X))=>funny(X)))&
(((old(paul)&generous(paul)))<=>((~brave(fred)|tall(fred))))&
((?[X]:((brave(X)<~>~strong(X))))<=>(funny(john)))&
(![X]:((happy(X)|creative(X))<=>(~rich(X)<~>creative(X)))... | funny(john) | [] | null | 0 |
If lucy is either not patient or not old then lucy is humble or tall.
If someone is either calm or rich then john is either not creative or not curious and vice versa.
If susan is not curious then susan is patient or brave.
Everyone who is both humble and old is either calm or generous.
Everyone who is strong is not wi... | Lucy is not patient. | contradiction | (((~patient(lucy)<~>~old(lucy)))=>((humble(lucy)|tall(lucy))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~creative(john)<~>~curious(john))))&
((~curious(susan))=>((patient(susan)|brave(susan))))&
(![X]:((humble(X)&old(X))=>(calm(X)<~>generous(X))))&
(![X]:(strong(X)=>(~wise(X)|~generous(X))))&
(![X]:(tall(X)<=>generous(X)))&
... | ~patient(lucy) | [
"p0",
"p5",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3972739402953713402393078
% SZS output start Proof for 3972739402953713402393078
1. (~patient(lucy) <~> ~old(lucy)) => (tall(lucy) | humble(lucy)) [input p0]
6. ! [X0] : (tall(X0) <=> generous(X0)) [input p5]
13. ! [X0] : ((humble(X0) | ~old(X0)) => (~old(X0) & generous(X0))) [input p12]
... | 0 |
Everyone who is either kind or funny is not strong and vice versa.
If someone is either not brave or curious then someone is calm.
If someone is both wise and quiet then someone is not kind or generous.
Everyone who is not tall is either quiet or not patient.
If paul is funny or quiet then lucy is either not rich or no... | Lucy is funny. | neutral | (![X]:((kind(X)<~>funny(X))<=>~strong(X)))&
((?[X]:((~brave(X)<~>curious(X))))=>(?[X]:(calm(X))))&
((?[X]:((wise(X)&quiet(X))))=>(?[X]:((~kind(X)|generous(X)))))&
(![X]:(~tall(X)=>(quiet(X)<~>~patient(X))))&
(((funny(paul)|quiet(paul)))<=>((~rich(lucy)<~>~strong(lucy))))&
(![X]:((~tall(X)&funny(X))<=>~old(X)))&
(![X]:(... | funny(lucy) | [] | null | 0 |
Everyone who is either not quiet or not humble is either not curious or old and vice versa.
Everyone who is brave is both quiet and humble and vice versa.
If someone is calm or funny then someone is either funny or generous and vice versa.
Everyone who is not wise or creative is wise or not happy and vice versa.
Everyo... | Susan is strong. | neutral | (![X]:((~quiet(X)<~>~humble(X))<=>(~curious(X)<~>old(X))))&
(![X]:(brave(X)<=>(quiet(X)&humble(X))))&
((?[X]:((calm(X)|funny(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(![X]:((~wise(X)|creative(X))<=>(wise(X)|~happy(X))))&
(![X]:((~brave(X)|~tall(X))<=>(happy(X)&calm(X))))&
((?[X]:((~strong(X)|humble(X))))<=>((~curiou... | strong(susan) | [] | null | 0 |
Everyone who is either old or not quiet is either brave or humble.
If someone is either brave or happy then alice is either not calm or funny and vice versa.
If alice is not happy or curious then susan is brave or tall and vice versa.
If someone is both kind and not humble then susan is not patient or not tall.
Everyon... | Paul is not humble. | entailment | (![X]:((old(X)<~>~quiet(X))=>(brave(X)<~>humble(X))))&
((?[X]:((brave(X)<~>happy(X))))<=>((~calm(alice)<~>funny(alice))))&
(((~happy(alice)|curious(alice)))<=>((brave(susan)|tall(susan))))&
((?[X]:((kind(X)&~humble(X))))=>((~patient(susan)|~tall(susan))))&
(![X]:((generous(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:... | ~humble(paul) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5006128961383096828849178
% SZS output start Proof for 5006128961383096828849178
15. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) | ~calm(X0))) [input p14]
16. ! [X0] : ((~old(X0) | creative(X0)) => ~calm(X0)) [input p15]
23. humble(paul) [input hypothesis]
34. ! [X0] : (~calm... | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Paul is curious. | entailment | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | curious(paul) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2974363702064071091513533
% SZS output start Proof for 2974363702064071091513533
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((~wise(X0) & happy(X0)) <=> (~curious(X0) <~> ~patient(X0))) [input p4]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~stro... | 0 |
Everyone who is either calm or not old is not calm.
Everyone who is not creative is both not tall and tall and vice versa.
Everyone who is happy is either wise or not calm and vice versa.
If someone is happy or generous then paul is wise or calm.
If someone is either not rich or patient then alice is curious.
Everyone ... | Mary is happy. | entailment | (![X]:((calm(X)<~>~old(X))=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)&tall(X))))&
(![X]:(happy(X)<=>(wise(X)<~>~calm(X))))&
((?[X]:((happy(X)|generous(X))))=>((wise(paul)|calm(paul))))&
((?[X]:((~rich(X)<~>patient(X))))=>(curious(alice)))&
(![X]:(~rich(X)<=>(tall(X)|~calm(X))))&
(![X]:((~happy(X)|~strong(X))=>(~funny... | happy(mary) | [
"p1",
"p2",
"p5",
"p6",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6543969935726781482136160
% SZS output start Proof for 6543969935726781482136160
2. ! [X0] : (~creative(X0) <=> (tall(X0) & ~tall(X0))) [input p1]
3. ! [X0] : (happy(X0) <=> (wise(X0) <~> ~calm(X0))) [input p2]
6. ! [X0] : (~rich(X0) <=> (~calm(X0) | tall(X0))) [input p5]
7. ! [X0] : ((~s... | 0 |
If someone is both not patient and creative then john is old and vice versa.
If susan is both not strong and not creative then someone is not rich or strong and vice versa.
If someone is wise or kind then alice is both not brave and happy.
If mary is humble then someone is strong.
If john is both curious and not genero... | Paul is wise. | neutral | ((?[X]:((~patient(X)&creative(X))))<=>(old(john)))&
(((~strong(susan)&~creative(susan)))<=>(?[X]:((~rich(X)|strong(X)))))&
((?[X]:((wise(X)|kind(X))))=>((~brave(alice)&happy(alice))))&
((humble(mary))=>(?[X]:(strong(X))))&
(((curious(john)&~generous(john)))<=>((rich(lucy)|~kind(lucy))))&
((kind(paul))=>((quiet(john)|~k... | wise(paul) | [] | null | 0 |
Everyone who is humble or brave is both not curious and funny. Everyone who is not generous or funny is funny and vice versa. Everyone who is not quiet or tall is not kind and vice versa. If fred is both not patient and not rich then mary is both not curious and not funny and vice versa. Everyone who is either not kind... | Paul is not brave. | neutral | (![X]:((humble(X)|brave(X))=>(~curious(X)&funny(X))))&
(![X]:((~generous(X)|funny(X))<=>funny(X)))&
(![X]:((~quiet(X)|tall(X))<=>~kind(X)))&
(((~patient(fred)&~rich(fred)))<=>((~curious(mary)&~funny(mary))))&
(![X]:((~kind(X)<~>strong(X))<=>(~tall(X)|tall(X))))&
((?[X]:((funny(X)|~brave(X))))<=>((~happy(lucy)&funny(luc... | ~brave(paul) | [] | null | 0 |
Everyone who is quiet is either not rich or strong.
Everyone who is either not generous or not calm is creative or not rich and vice versa.
Everyone who is both not old and not generous is both not curious and not wise.
If fred is not calm or not creative then alice is rich or quiet.
Everyone who is strong or not curio... | John is not tall. | entailment | (![X]:(quiet(X)=>(~rich(X)<~>strong(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(creative(X)|~rich(X))))&
(![X]:((~old(X)&~generous(X))=>(~curious(X)&~wise(X))))&
(((~calm(fred)|~creative(fred)))=>((rich(alice)|quiet(alice))))&
(![X]:((strong(X)|~curious(X))<=>(patient(X)&~tall(X))))&
((?[X]:((funny(X)<~>~strong(X))))<=>... | ~tall(john) | [
"p0",
"p1",
"p4",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2393009109006268192642032
% SZS output start Proof for 2393009109006268192642032
1. ! [X0] : (quiet(X0) => (~rich(X0) <~> strong(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> ~calm(X0)) <=> (~rich(X0) | creative(X0))) [input p1]
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> (~tall(X0) &... | 0 |
If someone is either wise or not generous then someone is either funny or not quiet. Everyone who is old or not brave is humble or not wise and vice versa. Everyone who is not quiet or calm is quiet and vice versa. If alice is kind or not creative then lucy is both not curious and not generous and vice versa. Everyone ... | John is generous. | contradiction | ((?[X]:((wise(X)<~>~generous(X))))=>(?[X]:((funny(X)<~>~quiet(X)))))&
(![X]:((old(X)|~brave(X))<=>(humble(X)|~wise(X))))&
(![X]:((~quiet(X)|calm(X))<=>quiet(X)))&
(((kind(alice)|~creative(alice)))<=>((~curious(lucy)&~generous(lucy))))&
(![X]:((funny(X)<~>strong(X))=>~generous(X)))&
((?[X]:((~strong(X)<~>~old(X))))=>((f... | generous(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2579368212536987909377717
% SZS output start Proof for 2579368212536987909377717
23. funny(john) & ~generous(john) [input p22]
25. generous(john) [input hypothesis]
144. ~generous(john) [cnf transformation 23]
148. generous(john) [cnf transformation 25]
329. $false [subsumption resolution... | 0 |
Everyone who is funny or humble is humble and vice versa.
Everyone who is not tall or not generous is not tall.
If someone is either not quiet or not creative then alice is not calm or not tall and vice versa.
Everyone who is both not funny and not curious is not generous or generous.
Everyone who is not calm is either... | Lucy is kind. | entailment | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~tall(X)|~generous(X))=>~tall(X)))&
((?[X]:((~quiet(X)<~>~creative(X))))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humb... | kind(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 428181823107340765162643
% SZS output start Proof for 428181823107340765162643
14. ! [X0] : (~kind(X0) <=> (calm(X0) & ~calm(X0))) [input p13]
24. ~kind(lucy) [input hypothesis]
54. ! [X0] : ((~kind(X0) | (~calm(X0) | calm(X0))) & ((calm(X0) & ~calm(X0)) | kind(X0))) [nnf transformation 1... | 0 |
If someone is creative then john is quiet or old.
Everyone who is not creative or strong is either not quiet or humble and vice versa.
Everyone who is not brave is creative and vice versa.
Everyone who is not funny or humble is both calm and rich.
If john is either not quiet or not generous then john is creative.
If so... | Fred is not wise. | contradiction | ((?[X]:(creative(X)))=>((quiet(john)|old(john))))&
(![X]:((~creative(X)|strong(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:(~brave(X)<=>creative(X)))&
(![X]:((~funny(X)|humble(X))=>(calm(X)&rich(X))))&
(((~quiet(john)<~>~generous(john)))=>(creative(john)))&
((?[X]:((~brave(X)&patient(X))))<=>((kind(fred)&~humble(fred))))&
(... | ~wise(fred) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8271117704970669966167834
% SZS output start Proof for 8271117704970669966167834
2. ! [X0] : ((strong(X0) | ~creative(X0)) <=> (~quiet(X0) <~> humble(X0))) [input p1]
3. ! [X0] : (~brave(X0) <=> creative(X0)) [input p2]
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (rich(X0) & calm(X0))) [inp... | 0 |
Everyone who is brave or not creative is both not quiet and not patient and vice versa. If mary is either not quiet or not humble then john is both strong and not old. If susan is happy then paul is either not wise or happy. Everyone who is not happy is not curious and vice versa. If susan is both curious and not gener... | Susan is generous. | contradiction | (![X]:((brave(X)|~creative(X))<=>(~quiet(X)&~patient(X))))&
(((~quiet(mary)<~>~humble(mary)))=>((strong(john)&~old(john))))&
((happy(susan))=>((~wise(paul)<~>happy(paul))))&
(![X]:(~happy(X)<=>~curious(X)))&
(((curious(susan)&~generous(susan)))<=>((~calm(john)&wise(john))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>... | generous(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3104323618827206858186312
% SZS output start Proof for 3104323618827206858186312
12. ! [X0] : ((strong(X0) | generous(X0)) <=> (rich(X0) & ~rich(X0))) [input p11]
25. generous(susan) [input hypothesis]
60. ! [X0] : (((strong(X0) | generous(X0)) | (~rich(X0) | rich(X0))) & ((rich(X0) & ~ri... | 0 |
Everyone who is calm is kind or not funny.
If susan is both not strong and not quiet then someone is both old and generous and vice versa.
If someone is quiet or not quiet then someone is either kind or generous.
Everyone who is tall is not calm or humble.
If alice is not quiet then someone is either not wise or not fu... | Alice is not tall. | entailment | (![X]:(calm(X)=>(kind(X)|~funny(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((old(X)&generous(X)))))&
((?[X]:((quiet(X)|~quiet(X))))=>(?[X]:((kind(X)<~>generous(X)))))&
(![X]:(tall(X)=>(~calm(X)|humble(X))))&
((~quiet(alice))=>(?[X]:((~wise(X)<~>~funny(X)))))&
((?[X]:((kind(X)<~>~curious(X))))=>((~brave(john)&quie... | ~tall(alice) | [
"p10",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7213051666667753812759173
% SZS output start Proof for 7213051666667753812759173
11. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> (kind(X0) | ~kind(X0))) [input p10]
19. ~creative(alice) & ~wise(alice) [input p18]
23. wise(alice) <~> patient(alice) [input p22]
25. tall(alice) [input hypothesi... | 0 |
If someone is both not kind and not humble then lucy is both not calm and not rich. Everyone who is quiet is not old and vice versa. Everyone who is not brave or not quiet is both creative and funny. Everyone who is brave is both not patient and not strong. Everyone who is either not wise or not creative is patient or ... | Susan is rich. | contradiction | ((?[X]:((~kind(X)&~humble(X))))=>((~calm(lucy)&~rich(lucy))))&
(![X]:(quiet(X)<=>~old(X)))&
(![X]:((~brave(X)|~quiet(X))=>(creative(X)&funny(X))))&
(![X]:(brave(X)=>(~patient(X)&~strong(X))))&
(![X]:((~wise(X)<~>~creative(X))=>(patient(X)|calm(X))))&
(((old(alice)&wise(alice)))<=>(?[X]:(generous(X))))&
((?[X]:((~happy(... | rich(susan) | [
"p2",
"p5",
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3074436126770856888669181
% SZS output start Proof for 3074436126770856888669181
3. ! [X0] : ((~quiet(X0) | ~brave(X0)) => (funny(X0) & creative(X0))) [input p2]
6. (wise(alice) & old(alice)) <=> ? [X0] : generous(X0) [input p5]
7. ? [X0] : (wise(X0) | ~happy(X0)) <=> (~strong(susan) & ~r... | 0 |
Everyone who is both not happy and not funny is not creative and vice versa. Everyone who is both not patient and humble is not patient or wise and vice versa. Everyone who is both not brave and tall is patient. If someone is generous then fred is either not quiet or generous. If lucy is wise or tall then someone is no... | Mary is not humble. | contradiction | (![X]:((~happy(X)&~funny(X))<=>~creative(X)))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)|wise(X))))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((?[X]:(generous(X)))=>((~quiet(fred)<~>generous(fred))))&
(((wise(lucy)|tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(((quiet(mary)|~old(mary)))=>(?[X]:(curious(X))))&... | ~humble(mary) | [
"p1",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8749762774157674166992070
% SZS output start Proof for 8749762774157674166992070
2. ! [X0] : ((humble(X0) & ~patient(X0)) <=> (wise(X0) | ~patient(X0))) [input p1]
7. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (~old(X0) & ~quiet(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (~t... | 0 |
Everyone who is either not generous or humble is both not funny and not patient and vice versa.
If someone is curious or not brave then someone is not humble.
If someone is both patient and brave then susan is not funny.
If john is both kind and not kind then someone is old and vice versa.
Everyone who is either not qu... | Alice is happy. | neutral | (![X]:((~generous(X)<~>humble(X))<=>(~funny(X)&~patient(X))))&
((?[X]:((curious(X)|~brave(X))))=>(?[X]:(~humble(X))))&
((?[X]:((patient(X)&brave(X))))=>(~funny(susan)))&
(((kind(john)&~kind(john)))<=>(?[X]:(old(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(patient(X)&~funny(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(wise(X)|p... | happy(alice) | [] | null | 0 |
If someone is not humble or humble then john is both funny and calm.
Everyone who is humble is tall or not humble and vice versa.
Everyone who is not brave is not brave or not strong.
Everyone who is both not quiet and not old is both not calm and not creative.
Everyone who is not strong is calm and vice versa.
Everyon... | Paul is tall. | entailment | ((?[X]:((~humble(X)|humble(X))))=>((funny(john)&calm(john))))&
(![X]:(humble(X)<=>(tall(X)|~humble(X))))&
(![X]:(~brave(X)=>(~brave(X)|~strong(X))))&
(![X]:((~quiet(X)&~old(X))=>(~calm(X)&~creative(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:((tall(X)|~strong(X))=>creative(X)))&
((~strong(alice))=>((humble(john)&~curio... | tall(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6977580448645442728844341
% SZS output start Proof for 6977580448645442728844341
2. ! [X0] : (humble(X0) <=> (~humble(X0) | tall(X0))) [input p1]
25. ~tall(paul) [input hypothesis]
47. ! [X0] : ((humble(X0) | (humble(X0) & ~tall(X0))) & ((~humble(X0) | tall(X0)) | ~humble(X0))) [nnf trans... | 0 |
If mary is not quiet or not creative then someone is kind and vice versa.
If someone is both not wise and wise then someone is not calm or not patient and vice versa.
Everyone who is both not creative and funny is calm and vice versa.
Everyone who is not curious is not rich and vice versa.
If fred is either not rich or... | Paul is quiet. | contradiction | (((~quiet(mary)|~creative(mary)))<=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&wise(X))))<=>(?[X]:((~calm(X)|~patient(X)))))&
(![X]:((~creative(X)&funny(X))<=>calm(X)))&
(![X]:(~curious(X)<=>~rich(X)))&
(((~rich(fred)<~>~calm(fred)))<=>(humble(fred)))&
(((funny(paul)&curious(paul)))=>((~calm(mary)&~old(mary))))&
((?[X]:(~tal... | quiet(paul) | [
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5533515416314928051899268
% SZS output start Proof for 5533515416314928051899268
2. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : (~patient(X0) | ~calm(X0)) [input p1]
6. (curious(paul) & funny(paul)) => (~old(mary) & ~calm(mary)) [input p5]
14. ! [X0] : ((strong(X0) & curious(X0)) <=> (~q... | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | Alice is old. | neutral | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | old(alice) | [] | null | 0 |
If mary is both funny and humble then someone is either humble or strong.
If someone is patient then mary is not strong or not creative.
If someone is either humble or not wise then susan is both not brave and happy and vice versa.
If fred is happy or not tall then someone is both tall and creative and vice versa.
If l... | John is not humble. | contradiction | (((funny(mary)&humble(mary)))=>(?[X]:((humble(X)<~>strong(X)))))&
((?[X]:(patient(X)))=>((~strong(mary)|~creative(mary))))&
((?[X]:((humble(X)<~>~wise(X))))<=>((~brave(susan)&happy(susan))))&
(((happy(fred)|~tall(fred)))<=>(?[X]:((tall(X)&creative(X)))))&
(((~calm(lucy)&~creative(lucy)))<=>((~curious(paul)|curious(paul... | ~humble(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2456779539174918144309837
% SZS output start Proof for 2456779539174918144309837
10. ! [X0] : ((wise(X0) <~> humble(X0)) <=> ~wise(X0)) [input p9]
25. ~humble(john) [input hypothesis]
62. ! [X0] : ((((~humble(X0) | ~wise(X0)) & (humble(X0) | wise(X0))) | wise(X0)) & (~wise(X0) | ((wise(X0... | 0 |
Everyone who is either not brave or not rich is not curious or not quiet and vice versa. Everyone who is not strong is humble or old and vice versa. Everyone who is humble is not old. If alice is old then susan is either old or tall. Everyone who is not kind or not creative is generous. Everyone who is either old or qu... | John is rich. | entailment | (![X]:((~brave(X)<~>~rich(X))<=>(~curious(X)|~quiet(X))))&
(![X]:(~strong(X)<=>(humble(X)|old(X))))&
(![X]:(humble(X)=>~old(X)))&
((old(alice))=>((old(susan)<~>tall(susan))))&
(![X]:((~kind(X)|~creative(X))=>generous(X)))&
(![X]:((old(X)<~>quiet(X))=>(~funny(X)<~>wise(X))))&
(![X]:((curious(X)&~strong(X))=>(~happy(X)<~... | rich(john) | [
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1360716449347758299436955
% SZS output start Proof for 1360716449347758299436955
15. ! [X0] : ((curious(X0) & patient(X0)) <=> ~rich(X0)) [input p14]
16. ! [X0] : (~patient(X0) <=> (strong(X0) | tall(X0))) [input p15]
23. strong(john) [input p22]
25. ~rich(john) [input hypothesis]
62. ! [... | 0 |
Everyone who is either old or not brave is quiet and vice versa. If john is both curious and not tall then someone is both not rich and not wise. Everyone who is wise is not old. Everyone who is either kind or not quiet is either calm or funny and vice versa. Everyone who is not strong is both quiet and calm and vice v... | Lucy is kind. | contradiction | (![X]:((old(X)<~>~brave(X))<=>quiet(X)))&
(((curious(john)&~tall(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(calm(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(quiet(X)&calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~strong(X)<~>~happy(X))))&
(((~funny(lucy)<~>patient(lucy)... | kind(lucy) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7353699083041588538853557
% SZS output start Proof for 7353699083041588538853557
4. ! [X0] : ((kind(X0) <~> ~quiet(X0)) <=> (calm(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (~strong(X0) <=> (calm(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~strong(X0) <~> ~ha... | 0 |
Everyone who is not patient or quiet is either brave or happy.
If susan is not generous then mary is patient and vice versa.
If someone is both not creative and curious then someone is either not humble or not wise.
If paul is either strong or not humble then alice is funny and vice versa.
If someone is both not humble... | Fred is quiet. | neutral | (![X]:((~patient(X)|quiet(X))=>(brave(X)<~>happy(X))))&
((~generous(susan))<=>(patient(mary)))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
(((strong(paul)<~>~humble(paul)))<=>(funny(alice)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:(brave(X)))=>(?[X]:(... | quiet(fred) | [] | null | 0 |
Everyone who is not calm or kind is either generous or not generous.
Everyone who is not brave or kind is both quiet and not funny.
If someone is both happy and not brave then mary is either not wise or not rich.
If someone is kind then someone is strong or not brave and vice versa.
Everyone who is not tall or happy is... | Alice is not happy. | contradiction | (![X]:((~calm(X)|kind(X))=>(generous(X)<~>~generous(X))))&
(![X]:((~brave(X)|kind(X))=>(quiet(X)&~funny(X))))&
((?[X]:((happy(X)&~brave(X))))=>((~wise(mary)<~>~rich(mary))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)|~brave(X)))))&
(![X]:((~tall(X)|happy(X))<=>(~humble(X)|quiet(X))))&
(((~brave(paul)&~tall(paul)))<=>(?[X]:... | ~happy(alice) | [
"p1",
"p8",
"p9",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8029677207301842256126694
% SZS output start Proof for 8029677207301842256126694
2. ! [X0] : ((kind(X0) | ~brave(X0)) => (~funny(X0) & quiet(X0))) [input p1]
9. ! [X0] : ((~patient(X0) & happy(X0)) <=> ~rich(X0)) [input p8]
10. ! [X0] : (~old(X0) <=> (~strong(X0) | ~calm(X0))) [input p9]
... | 0 |
If someone is curious or strong then fred is brave.
If someone is not humble or happy then someone is not brave or creative and vice versa.
Everyone who is generous or not tall is either kind or not strong.
If someone is not old then lucy is either not curious or not generous and vice versa.
Everyone who is either tall... | Lucy is not brave. | entailment | ((?[X]:((curious(X)|strong(X))))=>(brave(fred)))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~brave(X)|creative(X)))))&
(![X]:((generous(X)|~tall(X))=>(kind(X)<~>~strong(X))))&
((?[X]:(~old(X)))<=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))... | ~brave(lucy) | [
"p4",
"p5",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1997216752816041566204845
% SZS output start Proof for 1997216752816041566204845
5. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
6. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (old(X0) | ~patient(X0))) [input p5]
7. ! [X0] : ((calm(X0) <~> ~strong(X0)) <=> (k... | 0 |
If paul is either not generous or not old then someone is not generous or humble.
Everyone who is both not tall and not quiet is not quiet and vice versa.
Everyone who is either creative or patient is either not tall or not happy.
Everyone who is curious is both not creative and funny.
If someone is not tall then alice... | John is not funny. | contradiction | (((~generous(paul)<~>~old(paul)))=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>~quiet(X)))&
(![X]:((creative(X)<~>patient(X))=>(~tall(X)<~>~happy(X))))&
(![X]:(curious(X)=>(~creative(X)&funny(X))))&
((?[X]:(~tall(X)))<=>(~generous(alice)))&
(![X]:((~patient(X)|rich(X))=>wise(X)))&
(![X]:((~quiet(X... | ~funny(john) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5083317872188871122452155
% SZS output start Proof for 5083317872188871122452155
4. ! [X0] : (curious(X0) => (funny(X0) & ~creative(X0))) [input p3]
10. ! [X0] : (curious(X0) <=> (old(X0) | ~curious(X0))) [input p9]
22. ~funny(john) [input hypothesis]
26. ! [X0] : ((funny(X0) & ~creative(... | 0 |
If susan is not quiet then someone is either quiet or not strong and vice versa.
If someone is tall then alice is both funny and not humble and vice versa.
Everyone who is both not generous and not humble is either not tall or not generous.
Everyone who is both creative and generous is both funny and humble and vice ve... | Susan is brave. | entailment | ((~quiet(susan))<=>(?[X]:((quiet(X)<~>~strong(X)))))&
((?[X]:(tall(X)))<=>((funny(alice)&~humble(alice))))&
(![X]:((~generous(X)&~humble(X))=>(~tall(X)<~>~generous(X))))&
(![X]:((creative(X)&generous(X))<=>(funny(X)&humble(X))))&
(![X]:((old(X)|~brave(X))=>(generous(X)&curious(X))))&
((brave(alice))=>((~curious(fred)<~... | brave(susan) | [
"p0",
"p1",
"p10",
"p14",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 184273502094308013123508
% SZS output start Proof for 184273502094308013123508
1. ~quiet(susan) <=> ? [X0] : (quiet(X0) <~> ~strong(X0)) [input p0]
2. ? [X0] : tall(X0) <=> (~humble(alice) & funny(alice)) [input p1]
11. ! [X0] : ((funny(X0) & ~old(X0)) <=> ~strong(X0)) [input p10]
15. ! [... | 0 |
If someone is either not strong or calm then someone is either curious or not happy.
If someone is patient or not curious then someone is both not wise and tall and vice versa.
If paul is happy then fred is both brave and old.
If john is not creative or funny then someone is either generous or not patient and vice vers... | Paul is not humble. | contradiction | ((?[X]:((~strong(X)<~>calm(X))))=>(?[X]:((curious(X)<~>~happy(X)))))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:((~wise(X)&tall(X)))))&
((happy(paul))=>((brave(fred)&old(fred))))&
(((~creative(john)|funny(john)))<=>(?[X]:((generous(X)<~>~patient(X)))))&
(((~wise(mary)&~patient(mary)))<=>(?[X]:((funny(X)&patient(X)))))... | ~humble(paul) | [
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3074182821123288916239247
% SZS output start Proof for 3074182821123288916239247
7. ! [X0] : ((happy(X0) & ~generous(X0)) <=> curious(X0)) [input p6]
14. ! [X0] : (~humble(X0) <=> generous(X0)) [input p13]
19. curious(paul) & brave(paul) [input p18]
25. ~humble(paul) [input hypothesis]
56... | 0 |
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