premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both tall and not happy then fred is not happy or not strong. Everyone who is either creative or not strong is not calm. Everyone who is either humble or not humble is both not patient and not quiet and vice versa. Everyone who is either wise or quiet is both not kind and calm and vice versa. If someone i... | Susan is not happy. | contradiction | ((?[X]:((tall(X)&~happy(X))))=>((~happy(fred)|~strong(fred))))&
(![X]:((creative(X)<~>~strong(X))=>~calm(X)))&
(![X]:((humble(X)<~>~humble(X))<=>(~patient(X)&~quiet(X))))&
(![X]:((wise(X)<~>quiet(X))<=>(~kind(X)&calm(X))))&
((?[X]:((~quiet(X)&~funny(X))))<=>((patient(lucy)|~curious(lucy))))&
(![X]:((~generous(X)<~>~qui... | ~happy(susan) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1054263941597227545317445
% SZS output start Proof for 1054263941597227545317445
3. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> (~quiet(X0) & ~patient(X0))) [input p2]
12. ! [X0] : (~patient(X0) <=> happy(X0)) [input p11]
25. ~happy(susan) [input hypothesis]
41. ! [X0] : ((((humble(X0) | ~... | 0 |
Everyone who is both generous and not patient is not tall or curious. Everyone who is either not strong or not creative is either not funny or not calm and vice versa. Everyone who is both creative and not patient is not tall and vice versa. If someone is humble then someone is either funny or not patient. Everyone who... | Paul is tall. | neutral | (![X]:((generous(X)&~patient(X))=>(~tall(X)|curious(X))))&
(![X]:((~strong(X)<~>~creative(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:((creative(X)&~patient(X))<=>~tall(X)))&
((?[X]:(humble(X)))=>(?[X]:((funny(X)<~>~patient(X)))))&
(![X]:((tall(X)<~>kind(X))<=>(calm(X)<~>~generous(X))))&
((?[X]:((~tall(X)&kind(X))))<=>(?[X]:... | tall(paul) | [] | null | 0 |
If paul is either wise or not creative then someone is either not rich or funny and vice versa. Everyone who is curious or not patient is both funny and not old and vice versa. Everyone who is either not kind or not happy is both not quiet and not brave and vice versa. If someone is either calm or generous then mary is... | Mary is funny. | neutral | (((wise(paul)<~>~creative(paul)))<=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((curious(X)|~patient(X))<=>(funny(X)&~old(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)&~brave(X))))&
((?[X]:((calm(X)<~>generous(X))))=>(old(mary)))&
(((wise(lucy)&~funny(lucy)))=>(funny(fred)))&
(((wise(lucy)&happy(lucy)))<=>((~strong(sus... | funny(mary) | [] | null | 0 |
Everyone who is not tall or happy is kind and vice versa.
If fred is not funny or strong then fred is both not brave and not quiet.
Everyone who is either patient or funny is both curious and humble.
If susan is both quiet and tall then lucy is not rich.
Everyone who is both creative and not tall is not quiet or not ge... | Lucy is rich. | contradiction | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((~funny(fred)|strong(fred)))=>((~brave(fred)&~quiet(fred))))&
(![X]:((patient(X)<~>funny(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?... | rich(lucy) | [
"p0",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8683611414428335053534880
% SZS output start Proof for 8683611414428335053534880
1. ! [X0] : ((happy(X0) | ~tall(X0)) <=> kind(X0)) [input p0]
11. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X0) & ~rich(X0))) [input p10]
13. ! [X0] : (happy(X0) => (~old(X0) & funny(X0))) [input p12]
... | 0 |
Everyone who is both old and not old is both not quiet and rich and vice versa. Everyone who is not humble or not happy is strong or funny. Everyone who is both calm and funny is happy or strong and vice versa. Everyone who is both not tall and not wise is not old or funny and vice versa. If paul is both not kind and n... | Mary is humble. | neutral | (![X]:((old(X)&~old(X))<=>(~quiet(X)&rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(strong(X)|funny(X))))&
(![X]:((calm(X)&funny(X))<=>(happy(X)|strong(X))))&
(![X]:((~tall(X)&~wise(X))<=>(~old(X)|funny(X))))&
(((~kind(paul)&~humble(paul)))=>(?[X]:(~calm(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:(h... | humble(mary) | [] | null | 0 |
Everyone who is both not calm and wise is either wise or rich and vice versa.
Everyone who is not funny is either not curious or not kind and vice versa.
If susan is creative or humble then john is both not old and creative.
Everyone who is not quiet or not wise is curious and vice versa.
Everyone who is not curious is... | Mary is funny. | contradiction | (![X]:((~calm(X)&wise(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~funny(X)<=>(~curious(X)<~>~kind(X))))&
(((creative(susan)|humble(susan)))=>((~old(john)&creative(john))))&
(![X]:((~quiet(X)|~wise(X))<=>curious(X)))&
(![X]:(~curious(X)=>(~old(X)|patient(X))))&
(![X]:((humble(X)<~>curious(X))=>(~old(X)<~>tall(X))))&
(![X]:(pat... | funny(mary) | [
"p0",
"p6",
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1193545451188055959917883
% SZS output start Proof for 1193545451188055959917883
1. ! [X0] : ((wise(X0) & ~calm(X0)) <=> (wise(X0) <~> rich(X0))) [input p0]
7. ! [X0] : (patient(X0) => (humble(X0) & ~humble(X0))) [input p6]
8. ! [X0] : ((funny(X0) & calm(X0)) <=> (strong(X0) & quiet(X0)))... | 0 |
If paul is either not humble or not curious then someone is both wise and not calm and vice versa.
Everyone who is quiet or strong is either quiet or not kind and vice versa.
Everyone who is not quiet is not tall and vice versa.
Everyone who is both not wise and not patient is quiet or calm.
If someone is both patient ... | Mary is brave. | contradiction | (((~humble(paul)<~>~curious(paul)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((quiet(X)|strong(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
(![X]:((~wise(X)&~patient(X))=>(quiet(X)|calm(X))))&
((?[X]:((patient(X)&rich(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~tall(X)|~humble(X))<=>(~calm(X)&humble(X))))&
(![X]... | brave(mary) | [
"p1",
"p2",
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 377308024364598933270281
% SZS output start Proof for 377308024364598933270281
2. ! [X0] : ((strong(X0) | quiet(X0)) <=> (quiet(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((brave(X0) & happy(X0)) <=> (old(X0) | funny(X0))) [input p6]
8. ! ... | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is both not old and humble.
If someone is patient or wise then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and ... | Alice is funny. | contradiction | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>(~old(X)&humble(X))))&
((?[X]:((patient(X)|wise(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~... | funny(alice) | [
"p3",
"p4",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8347262398622066676683959
% SZS output start Proof for 8347262398622066676683959
4. ? [X0] : (rich(X0) | ~funny(X0)) <=> (tall(alice) & ~funny(alice)) [input p3]
5. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p4]
16. ? [X0] : (kind(X0) | quiet(X0)) <=> calm(fred) [input p15... | 0 |
Everyone who is either not humble or not old is either not wise or not quiet.
Everyone who is either tall or brave is both funny and not rich and vice versa.
Everyone who is either happy or creative is both rich and not calm.
Everyone who is both quiet and curious is happy or tall and vice versa.
If john is wise then j... | John is curious. | neutral | (![X]:((~humble(X)<~>~old(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((tall(X)<~>brave(X))<=>(funny(X)&~rich(X))))&
(![X]:((happy(X)<~>creative(X))=>(rich(X)&~calm(X))))&
(![X]:((quiet(X)&curious(X))<=>(happy(X)|tall(X))))&
((wise(john))=>(patient(john)))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X))))... | curious(john) | [] | null | 0 |
Everyone who is either happy or not old is kind or not quiet and vice versa.
Everyone who is both not wise and not curious is kind or tall.
If fred is either not quiet or not generous then john is either creative or tall and vice versa.
Everyone who is both tall and not brave is either kind or not tall.
If mary is both... | Mary is generous. | contradiction | (![X]:((happy(X)<~>~old(X))<=>(kind(X)|~quiet(X))))&
(![X]:((~wise(X)&~curious(X))=>(kind(X)|tall(X))))&
(((~quiet(fred)<~>~generous(fred)))<=>((creative(john)<~>tall(john))))&
(![X]:((tall(X)&~brave(X))=>(kind(X)<~>~tall(X))))&
(((quiet(mary)&~patient(mary)))=>(?[X]:((~generous(X)|~rich(X)))))&
((?[X]:((~old(X)|humble... | generous(mary) | [
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8321777651319421621105023
% SZS output start Proof for 8321777651319421621105023
7. ! [X0] : ((kind(X0) | ~tall(X0)) <=> tall(X0)) [input p6]
11. ! [X0] : ((strong(X0) | ~humble(X0)) => (~generous(X0) | ~kind(X0))) [input p10]
14. ! [X0] : ((rich(X0) | ~strong(X0)) => creative(X0)) [input... | 0 |
If mary is brave or not old then susan is not rich.
Everyone who is both not tall and calm is both not generous and rich.
If someone is generous or not generous then paul is kind or not quiet and vice versa.
If paul is not calm or creative then someone is both wise and rich and vice versa.
If alice is not funny then jo... | Susan is not kind. | contradiction | (((brave(mary)|~old(mary)))=>(~rich(susan)))&
(![X]:((~tall(X)&calm(X))=>(~generous(X)&rich(X))))&
((?[X]:((generous(X)|~generous(X))))<=>((kind(paul)|~quiet(paul))))&
(((~calm(paul)|creative(paul)))<=>(?[X]:((wise(X)&rich(X)))))&
((~funny(alice))<=>(humble(john)))&
((?[X]:(~strong(X)))=>(?[X]:((~kind(X)<~>~old(X)))))&... | ~kind(susan) | [
"p7",
"p8",
"p9",
"p12",
"p14",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1655521252621894157233315
% SZS output start Proof for 1655521252621894157233315
8. ! [X0] : ((~calm(X0) | kind(X0)) => ~old(X0)) [input p7]
9. ! [X0] : (~old(X0) <=> (~strong(X0) & ~creative(X0))) [input p8]
10. ! [X0] : (brave(X0) <=> (humble(X0) <~> ~funny(X0))) [input p9]
13. ! [X0] :... | 0 |
Everyone who is brave is both happy and not rich and vice versa.
Everyone who is either tall or not humble is both not curious and patient and vice versa.
Everyone who is either creative or not rich is curious.
If mary is creative or not old then someone is either tall or not old.
If someone is both creative and not ca... | Fred is kind. | contradiction | (![X]:(brave(X)<=>(happy(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curious(X)&patient(X))))&
(![X]:((creative(X)<~>~rich(X))=>curious(X)))&
(((creative(mary)|~old(mary)))=>(?[X]:((tall(X)<~>~old(X)))))&
((?[X]:((creative(X)&~calm(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>((~brav... | kind(fred) | [
"p1",
"p6",
"p7",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7081852641149553192723857
% SZS output start Proof for 7081852641149553192723857
2. ! [X0] : ((tall(X0) <~> ~humble(X0)) <=> (patient(X0) & ~curious(X0))) [input p1]
7. ! [X0] : ((quiet(X0) | patient(X0)) <=> (~strong(X0) & ~kind(X0))) [input p6]
8. generous(fred) <=> (creative(fred) | ~t... | 0 |
If mary is either funny or old then fred is quiet and vice versa.
If someone is calm then susan is funny.
If someone is both not patient and humble then someone is calm or not old and vice versa.
Everyone who is not wise is rich.
Everyone who is either not kind or kind is both happy and wise and vice versa.
If someone ... | John is old. | contradiction | (((funny(mary)<~>old(mary)))<=>(quiet(fred)))&
((?[X]:(calm(X)))=>(funny(susan)))&
((?[X]:((~patient(X)&humble(X))))<=>(?[X]:((calm(X)|~old(X)))))&
(![X]:(~wise(X)=>rich(X)))&
(![X]:((~kind(X)<~>kind(X))<=>(happy(X)&wise(X))))&
((?[X]:(~wise(X)))=>(?[X]:(~patient(X))))&
(![X]:((happy(X)|~brave(X))<=>(~quiet(X)&~old(X))... | old(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 109453733011222790644599
% SZS output start Proof for 109453733011222790644599
5. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (wise(X0) & happy(X0))) [input p4]
7. ! [X0] : ((~brave(X0) | happy(X0)) <=> (~old(X0) & ~quiet(X0))) [input p6]
22. old(john) [input hypothesis]
38. ! [X0] : ((((~kind... | 0 |
Everyone who is both rich and curious is both not brave and not curious.
Everyone who is tall or happy is tall.
Everyone who is both not tall and tall is strong and vice versa.
Everyone who is humble is either calm or quiet and vice versa.
If someone is happy then mary is not strong.
Everyone who is generous is both no... | Mary is not kind. | neutral | (![X]:((rich(X)&curious(X))=>(~brave(X)&~curious(X))))&
(![X]:((tall(X)|happy(X))=>tall(X)))&
(![X]:((~tall(X)&tall(X))<=>strong(X)))&
(![X]:(humble(X)<=>(calm(X)<~>quiet(X))))&
((?[X]:(happy(X)))=>(~strong(mary)))&
(![X]:(generous(X)<=>(~humble(X)&~creative(X))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:((~funny(X)|~wi... | ~kind(mary) | [] | null | 0 |
Everyone who is not calm or humble is either not humble or not calm and vice versa.
Everyone who is either calm or happy is both not curious and not tall.
Everyone who is funny or not calm is not wise.
Everyone who is either wise or brave is either not generous or brave and vice versa.
If susan is kind or not kind then... | Mary is not generous. | contradiction | (![X]:((~calm(X)|humble(X))<=>(~humble(X)<~>~calm(X))))&
(![X]:((calm(X)<~>happy(X))=>(~curious(X)&~tall(X))))&
(![X]:((funny(X)|~calm(X))=>~wise(X)))&
(![X]:((wise(X)<~>brave(X))<=>(~generous(X)<~>brave(X))))&
(((kind(susan)|~kind(susan)))<=>(?[X]:((brave(X)<~>~brave(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|brave... | ~generous(mary) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7913754215296232973576918
% SZS output start Proof for 7913754215296232973576918
1. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (~humble(X0) <~> ~calm(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | funny(X0)) => ~wise(X0)) [input p2]
4. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (~generous(X0) <~> bra... | 0 |
If alice is old or not creative then someone is calm and vice versa. If alice is not patient or not old then fred is not wise or not humble and vice versa. If someone is not brave then fred is not old or kind and vice versa. If john is not calm then someone is not wise or rich. Everyone who is not creative is both not ... | Mary is strong. | entailment | (((old(alice)|~creative(alice)))<=>(?[X]:(calm(X))))&
(((~patient(alice)|~old(alice)))<=>((~wise(fred)|~humble(fred))))&
((?[X]:(~brave(X)))<=>((~old(fred)|kind(fred))))&
((~calm(john))=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:(~creative(X)<=>(~wise(X)&wise(X))))&
(![X]:((~old(X)<~>patient(X))<=>(wise(X)<~>funny(X))))&
(((... | strong(mary) | [
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2325918217667777593183950
% SZS output start Proof for 2325918217667777593183950
5. ! [X0] : (~creative(X0) <=> (wise(X0) & ~wise(X0))) [input p4]
8. ! [X0] : ((generous(X0) | ~patient(X0)) => ~brave(X0)) [input p7]
9. ? [X0] : (~strong(X0) | ~funny(X0)) <=> ? [X0] : (brave(X0) & ~curious... | 0 |
Everyone who is not creative is both generous and creative and vice versa. Everyone who is funny or rich is either not brave or tall. If someone is both not kind and not rich then alice is both generous and happy. If someone is kind then alice is either wise or not generous. If lucy is both not patient and not old then... | Fred is not calm. | neutral | (![X]:(~creative(X)<=>(generous(X)&creative(X))))&
(![X]:((funny(X)|rich(X))=>(~brave(X)<~>tall(X))))&
((?[X]:((~kind(X)&~rich(X))))=>((generous(alice)&happy(alice))))&
((?[X]:(kind(X)))=>((wise(alice)<~>~generous(alice))))&
(((~patient(lucy)&~old(lucy)))=>((creative(alice)&quiet(alice))))&
(![X]:((tall(X)|rich(X))<=>(... | ~calm(fred) | [] | null | 0 |
Everyone who is wise is funny or not creative.
Everyone who is generous is either not creative or funny and vice versa.
Everyone who is either not kind or kind is not generous and vice versa.
Everyone who is not patient or strong is not humble.
Everyone who is either patient or not tall is either patient or tall.
Every... | Fred is not kind. | entailment | (![X]:(wise(X)=>(funny(X)|~creative(X))))&
(![X]:(generous(X)<=>(~creative(X)<~>funny(X))))&
(![X]:((~kind(X)<~>kind(X))<=>~generous(X)))&
(![X]:((~patient(X)|strong(X))=>~humble(X)))&
(![X]:((patient(X)<~>~tall(X))=>(patient(X)<~>tall(X))))&
(![X]:(old(X)=>(~strong(X)<~>calm(X))))&
(![X]:((~curious(X)&quiet(X))<=>(qui... | ~kind(fred) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7078029655536776569579127
% SZS output start Proof for 7078029655536776569579127
1. ! [X0] : (wise(X0) => (~creative(X0) | funny(X0))) [input p0]
2. ! [X0] : (generous(X0) <=> (~creative(X0) <~> funny(X0))) [input p1]
3. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~generous(X0)) [input p2]
5. ... | 0 |
Everyone who is both brave and tall is either not creative or creative and vice versa.
Everyone who is strong is not tall and vice versa.
If lucy is both not calm and wise then someone is calm and vice versa.
If john is not funny or not humble then someone is not curious or rich.
Everyone who is both funny and rich is ... | John is not patient. | neutral | (![X]:((brave(X)&tall(X))<=>(~creative(X)<~>creative(X))))&
(![X]:(strong(X)<=>~tall(X)))&
(((~calm(lucy)&wise(lucy)))<=>(?[X]:(calm(X))))&
(((~funny(john)|~humble(john)))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:((funny(X)&rich(X))=>(~old(X)<~>patient(X))))&
(![X]:((tall(X)<~>~patient(X))=>~funny(X)))&
((?[X]:((wise(X)... | ~patient(john) | [] | null | 0 |
Everyone who is both calm and not quiet is not old.
Everyone who is creative is both not wise and brave.
If someone is humble or not funny then someone is either not wise or not patient and vice versa.
Everyone who is creative is strong.
If someone is patient then mary is either kind or not humble and vice versa.
Every... | Fred is not quiet. | contradiction | (![X]:((calm(X)&~quiet(X))=>~old(X)))&
(![X]:(creative(X)=>(~wise(X)&brave(X))))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:((~wise(X)<~>~patient(X)))))&
(![X]:(creative(X)=>strong(X)))&
((?[X]:(patient(X)))<=>((kind(mary)<~>~humble(mary))))&
(![X]:((~kind(X)<~>~funny(X))=>(creative(X)<~>calm(X))))&
(![X]:((~brave(X)&hum... | ~quiet(fred) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8535019041095360681109493
% SZS output start Proof for 8535019041095360681109493
9. ! [X0] : (~generous(X0) <=> (quiet(X0) & ~funny(X0))) [input p8]
22. ~quiet(fred) <~> generous(fred) [input p21]
25. ~quiet(fred) [input hypothesis]
53. ! [X0] : ((~generous(X0) | (~quiet(X0) | funny(X0)))... | 0 |
Everyone who is not humble or not kind is not humble. Everyone who is creative or not old is both not patient and strong. If someone is not happy or humble then lucy is not happy or not old. Everyone who is not generous is either humble or happy. If susan is tall then lucy is funny or brave and vice versa. Everyone who... | Paul is kind. | entailment | (![X]:((~humble(X)|~kind(X))=>~humble(X)))&
(![X]:((creative(X)|~old(X))=>(~patient(X)&strong(X))))&
((?[X]:((~happy(X)|humble(X))))=>((~happy(lucy)|~old(lucy))))&
(![X]:(~generous(X)=>(humble(X)<~>happy(X))))&
((tall(susan))<=>((funny(lucy)|brave(lucy))))&
(![X]:((tall(X)&generous(X))<=>(brave(X)<~>~curious(X))))&
(![... | kind(paul) | [
"p0",
"p1",
"p6",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8028630194728177154627379
% SZS output start Proof for 8028630194728177154627379
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : ((~old(X0) | creative(X0)) => (strong(X0) & ~patient(X0))) [input p1]
7. ! [X0] : ((humble(X0) <~> ~kind(X0)) => creative(X0)) [in... | 0 |
If mary is either not wise or curious then fred is old or creative and vice versa.
Everyone who is not creative is rich or not brave and vice versa.
Everyone who is either brave or not old is not quiet and vice versa.
If someone is not strong then paul is either brave or not curious and vice versa.
Everyone who is calm... | Mary is not curious. | neutral | (((~wise(mary)<~>curious(mary)))<=>((old(fred)|creative(fred))))&
(![X]:(~creative(X)<=>(rich(X)|~brave(X))))&
(![X]:((brave(X)<~>~old(X))<=>~quiet(X)))&
((?[X]:(~strong(X)))<=>((brave(paul)<~>~curious(paul))))&
(![X]:((calm(X)|humble(X))<=>humble(X)))&
((?[X]:((~humble(X)<~>funny(X))))<=>(?[X]:((strong(X)&~brave(X))))... | ~curious(mary) | [] | null | 0 |
If lucy is not quiet or not old then someone is either brave or tall.
Everyone who is rich or funny is both creative and funny and vice versa.
Everyone who is calm is not tall and vice versa.
If susan is both not funny and not strong then someone is either not rich or curious and vice versa.
If fred is either brave or ... | John is not funny. | entailment | (((~quiet(lucy)|~old(lucy)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((rich(X)|funny(X))<=>(creative(X)&funny(X))))&
(![X]:(calm(X)<=>~tall(X)))&
(((~funny(susan)&~strong(susan)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(((brave(fred)<~>~wise(fred)))=>(?[X]:((~kind(X)|~curious(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(~ric... | ~funny(john) | [
"p1",
"p2",
"p5",
"p7",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3011577014087712990672969
% SZS output start Proof for 3011577014087712990672969
2. ! [X0] : ((funny(X0) | rich(X0)) <=> (funny(X0) & creative(X0))) [input p1]
3. ! [X0] : (calm(X0) <=> ~tall(X0)) [input p2]
6. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (strong(X0) | ~rich(X0))) [input p5]... | 0 |
Everyone who is funny is not creative or not funny.
If someone is not wise or not patient then mary is both tall and creative.
If lucy is not strong then paul is both rich and not funny and vice versa.
Everyone who is not funny is calm and vice versa.
If paul is either not tall or not brave then alice is either creativ... | Mary is happy. | contradiction | (![X]:(funny(X)=>(~creative(X)|~funny(X))))&
((?[X]:((~wise(X)|~patient(X))))=>((tall(mary)&creative(mary))))&
((~strong(lucy))<=>((rich(paul)&~funny(paul))))&
(![X]:(~funny(X)<=>calm(X)))&
(((~tall(paul)<~>~brave(paul)))=>((creative(alice)<~>~creative(alice))))&
((tall(susan))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
((?... | happy(mary) | [
"p1",
"p8",
"p9",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 643946466838960670928336
% SZS output start Proof for 643946466838960670928336
2. ? [X0] : (~patient(X0) | ~wise(X0)) => (creative(mary) & tall(mary)) [input p1]
9. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> (rich(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : ((~curious(X0) | ~wise(X0)) <=>... | 0 |
Everyone who is either quiet or not wise is either not quiet or not strong and vice versa.
Everyone who is either not generous or not funny is both old and generous and vice versa.
Everyone who is not strong or humble is both curious and patient and vice versa.
If someone is happy or quiet then alice is either not rich... | Alice is happy. | entailment | (![X]:((quiet(X)<~>~wise(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~generous(X)<~>~funny(X))<=>(old(X)&generous(X))))&
(![X]:((~strong(X)|humble(X))<=>(curious(X)&patient(X))))&
((?[X]:((happy(X)|quiet(X))))=>((~rich(alice)<~>funny(alice))))&
(![X]:((~brave(X)|~calm(X))=>~humble(X)))&
((?[X]:((patient(X)|~kind(X))))<=>... | happy(alice) | [
"p1",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5303181868268905077189821
% SZS output start Proof for 5303181868268905077189821
2. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> (generous(X0) & old(X0))) [input p1]
7. ! [X0] : (funny(X0) <=> (old(X0) | ~patient(X0))) [input p6]
9. ! [X0] : ((strong(X0) & happy(X0)) <=> (~old(X0) | patie... | 0 |
Everyone who is kind or not wise is generous or not happy and vice versa.
Everyone who is generous is both kind and not tall.
If someone is not creative then someone is either not patient or brave and vice versa.
If someone is both tall and not tall then someone is both not happy and not curious.
If someone is not pati... | Mary is not tall. | entailment | (![X]:((kind(X)|~wise(X))<=>(generous(X)|~happy(X))))&
(![X]:(generous(X)=>(kind(X)&~tall(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~patient(X)<~>brave(X)))))&
((?[X]:((tall(X)&~tall(X))))=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((~funny(X)&humble(X))<=>(wise(X)&~ri... | ~tall(mary) | [
"p1",
"p8",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 976121151852382495493378
% SZS output start Proof for 976121151852382495493378
2. ! [X0] : (generous(X0) => (~tall(X0) & kind(X0))) [input p1]
9. ! [X0] : ((happy(X0) & creative(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p8]
12. ! [X0] : ((rich(X0) | curious(X0)) <=> (happy(X0) & ~... | 0 |
If someone is either not brave or brave then someone is both not curious and not tall and vice versa.
Everyone who is both rich and not creative is either old or funny.
If paul is either strong or wise then susan is either not curious or not strong and vice versa.
Everyone who is not calm or old is either not wise or r... | Fred is calm. | contradiction | ((?[X]:((~brave(X)<~>brave(X))))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((rich(X)&~creative(X))=>(old(X)<~>funny(X))))&
(((strong(paul)<~>wise(paul)))<=>((~curious(susan)<~>~strong(susan))))&
(![X]:((~calm(X)|old(X))<=>(~wise(X)<~>rich(X))))&
(![X]:(happy(X)=>(~funny(X)<~>happy(X))))&
((?[X]:(~patient(X)))<=>((~crea... | calm(fred) | [
"p1",
"p3",
"p4",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2402701360697467247621634
% SZS output start Proof for 2402701360697467247621634
2. ! [X0] : ((~creative(X0) & rich(X0)) => (old(X0) <~> funny(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~calm(X0)) <=> (~wise(X0) <~> rich(X0))) [input p3]
5. ! [X0] : (happy(X0) => (~funny(X0) <~> happy(X0)))... | 0 |
If paul is both not wise and patient then paul is both not brave and not calm and vice versa.
Everyone who is both old and tall is both not humble and not quiet.
If paul is either strong or funny then someone is generous or not old and vice versa.
If alice is not calm then mary is calm.
Everyone who is old or not humbl... | Alice is not calm. | neutral | (((~wise(paul)&patient(paul)))<=>((~brave(paul)&~calm(paul))))&
(![X]:((old(X)&tall(X))=>(~humble(X)&~quiet(X))))&
(((strong(paul)<~>funny(paul)))<=>(?[X]:((generous(X)|~old(X)))))&
((~calm(alice))=>(calm(mary)))&
(![X]:((old(X)|~humble(X))<=>~curious(X)))&
(((generous(mary)<~>creative(mary)))=>((~happy(paul)&~wise(pau... | ~calm(alice) | [] | null | 0 |
Everyone who is not brave or not calm is not kind and vice versa.
Everyone who is either funny or not quiet is happy or not wise and vice versa.
Everyone who is old or brave is both tall and not humble and vice versa.
Everyone who is either not happy or happy is both not curious and quiet.
Everyone who is not calm is b... | Mary is not tall. | entailment | (![X]:((~brave(X)|~calm(X))<=>~kind(X)))&
(![X]:((funny(X)<~>~quiet(X))<=>(happy(X)|~wise(X))))&
(![X]:((old(X)|brave(X))<=>(tall(X)&~humble(X))))&
(![X]:((~happy(X)<~>happy(X))=>(~curious(X)&quiet(X))))&
(![X]:(~calm(X)<=>(curious(X)&~strong(X))))&
(![X]:((~kind(X)|~brave(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((calm... | ~tall(mary) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6617209307644191985835816
% SZS output start Proof for 6617209307644191985835816
1. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : ((~happy(X0) <~> happy(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (~strong(X0) & curious(X0))) [input... | 0 |
If susan is both quiet and patient then alice is wise or not rich.
Everyone who is calm is funny and vice versa.
If alice is quiet then lucy is not humble and vice versa.
If someone is both rich and not tall then mary is not kind.
Everyone who is generous or rich is either patient or not kind and vice versa.
If john is... | Lucy is not tall. | neutral | (((quiet(susan)&patient(susan)))=>((wise(alice)|~rich(alice))))&
(![X]:(calm(X)<=>funny(X)))&
((quiet(alice))<=>(~humble(lucy)))&
((?[X]:((rich(X)&~tall(X))))=>(~kind(mary)))&
(![X]:((generous(X)|rich(X))<=>(patient(X)<~>~kind(X))))&
(((strong(john)&kind(john)))<=>((brave(susan)<~>~happy(susan))))&
((?[X]:(wise(X)))=>(... | ~tall(lucy) | [] | null | 0 |
If john is either not kind or creative then someone is not quiet and vice versa. Everyone who is not calm is creative and vice versa. Everyone who is not creative or not curious is both strong and not quiet. Everyone who is both old and generous is not tall or not happy. Everyone who is not kind is both curious and not... | Susan is brave. | entailment | (((~kind(john)<~>creative(john)))<=>(?[X]:(~quiet(X))))&
(![X]:(~calm(X)<=>creative(X)))&
(![X]:((~creative(X)|~curious(X))=>(strong(X)&~quiet(X))))&
(![X]:((old(X)&generous(X))=>(~tall(X)|~happy(X))))&
(![X]:(~kind(X)<=>(curious(X)&~kind(X))))&
(((brave(john)<~>creative(john)))=>(?[X]:((~calm(X)&~curious(X)))))&
(![X]... | brave(susan) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2183845586378243466409361
% SZS output start Proof for 2183845586378243466409361
5. ! [X0] : (~kind(X0) <=> (~kind(X0) & curious(X0))) [input p4]
8. ! [X0] : ((~tall(X0) & kind(X0)) <=> (brave(X0) | tall(X0))) [input p7]
10. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (~brave(X0) <~> curious(X0)... | 0 |
If someone is either not rich or not brave then fred is both not old and tall.
Everyone who is generous is either not rich or not wise and vice versa.
Everyone who is funny or happy is either not patient or quiet.
Everyone who is tall or not patient is either rich or not old.
Everyone who is tall is kind and vice versa... | Fred is quiet. | contradiction | ((?[X]:((~rich(X)<~>~brave(X))))=>((~old(fred)&tall(fred))))&
(![X]:(generous(X)<=>(~rich(X)<~>~wise(X))))&
(![X]:((funny(X)|happy(X))=>(~patient(X)<~>quiet(X))))&
(![X]:((tall(X)|~patient(X))=>(rich(X)<~>~old(X))))&
(![X]:(tall(X)<=>kind(X)))&
((?[X]:((~happy(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(![X]:((~quiet(... | quiet(fred) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3045208623139377364672020
% SZS output start Proof for 3045208623139377364672020
1. ? [X0] : (~rich(X0) <~> ~brave(X0)) => (tall(fred) & ~old(fred)) [input p0]
4. ! [X0] : ((~patient(X0) | tall(X0)) => (rich(X0) <~> ~old(X0))) [input p3]
5. ! [X0] : (tall(X0) <=> kind(X0)) [input p4]
7. !... | 0 |
If alice is not humble or rich then someone is either old or not tall. If john is not creative or brave then mary is curious or not strong. Everyone who is not old or not quiet is calm. Everyone who is either not rich or not calm is both not quiet and not calm. If lucy is either happy or not strong then lucy is both no... | John is not creative. | contradiction | (((~humble(alice)|rich(alice)))=>(?[X]:((old(X)<~>~tall(X)))))&
(((~creative(john)|brave(john)))=>((curious(mary)|~strong(mary))))&
(![X]:((~old(X)|~quiet(X))=>calm(X)))&
(![X]:((~rich(X)<~>~calm(X))=>(~quiet(X)&~calm(X))))&
(((happy(lucy)<~>~strong(lucy)))=>((~funny(lucy)&~generous(lucy))))&
(![X]:((~kind(X)|~old(X))=... | ~creative(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2249027495817033923441459
% SZS output start Proof for 2249027495817033923441459
17. creative(john) & strong(john) [input p16]
24. ~creative(john) [input hypothesis]
107. creative(john) [cnf transformation 17]
118. ~creative(john) [cnf transformation 24]
154. 8 <=> creative(john) [avatar ... | 0 |
Everyone who is both creative and not curious is not patient.
Everyone who is both not rich and not happy is both not brave and not rich.
If someone is both not funny and not creative then someone is not creative and vice versa.
If paul is not generous or not wise then susan is both not generous and not strong and vice... | John is humble. | contradiction | (![X]:((creative(X)&~curious(X))=>~patient(X)))&
(![X]:((~rich(X)&~happy(X))=>(~brave(X)&~rich(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>(?[X]:(~creative(X))))&
(((~generous(paul)|~wise(paul)))<=>((~generous(susan)&~strong(susan))))&
((~wise(paul))<=>(?[X]:((~rich(X)|brave(X)))))&
((?[X]:(~tall(X)))<=>((funny(fred)<~... | humble(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6230222383605241970817737
% SZS output start Proof for 6230222383605241970817737
12. ! [X0] : ((~wise(X0) & wise(X0)) <=> (humble(X0) | happy(X0))) [input p11]
22. humble(john) [input hypothesis]
64. ! [X0] : (((~wise(X0) & wise(X0)) | (~humble(X0) & ~happy(X0))) & ((humble(X0) | happy(X0... | 0 |
If mary is not tall or not strong then mary is both rich and generous and vice versa. Everyone who is not creative or strong is not quiet and vice versa. Everyone who is not strong is calm or not old. If lucy is rich or not rich then mary is both patient and not wise and vice versa. Everyone who is either old or not cu... | John is not patient. | neutral | (((~tall(mary)|~strong(mary)))<=>((rich(mary)&generous(mary))))&
(![X]:((~creative(X)|strong(X))<=>~quiet(X)))&
(![X]:(~strong(X)=>(calm(X)|~old(X))))&
(((rich(lucy)|~rich(lucy)))<=>((patient(mary)&~wise(mary))))&
(![X]:((old(X)<~>~curious(X))=>(~generous(X)<~>tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((generous(X)&quie... | ~patient(john) | [] | null | 0 |
Everyone who is either not generous or not quiet is either rich or calm.
Everyone who is not happy is both wise and quiet.
Everyone who is not humble or not rich is not creative and vice versa.
Everyone who is happy is not quiet and vice versa.
Everyone who is not creative or not funny is happy and vice versa.
If lucy ... | Alice is not creative. | neutral | (![X]:((~generous(X)<~>~quiet(X))=>(rich(X)<~>calm(X))))&
(![X]:(~happy(X)=>(wise(X)&quiet(X))))&
(![X]:((~humble(X)|~rich(X))<=>~creative(X)))&
(![X]:(happy(X)<=>~quiet(X)))&
(![X]:((~creative(X)|~funny(X))<=>happy(X)))&
(((~wise(lucy)&generous(lucy)))=>((old(fred)<~>happy(fred))))&
(![X]:((old(X)|brave(X))<=>(~rich(X... | ~creative(alice) | [] | null | 0 |
If fred is not tall then someone is both not happy and rich and vice versa.
Everyone who is strong is creative or not wise.
Everyone who is happy is curious or not tall and vice versa.
If paul is wise or calm then mary is not happy and vice versa.
Everyone who is not quiet is funny or brave and vice versa.
Everyone who... | Paul is not brave. | entailment | ((~tall(fred))<=>(?[X]:((~happy(X)&rich(X)))))&
(![X]:(strong(X)=>(creative(X)|~wise(X))))&
(![X]:(happy(X)<=>(curious(X)|~tall(X))))&
(((wise(paul)|calm(paul)))<=>(~happy(mary)))&
(![X]:(~quiet(X)<=>(funny(X)|brave(X))))&
(![X]:((~quiet(X)|~creative(X))<=>(~curious(X)&old(X))))&
(![X]:((~tall(X)&~humble(X))=>(~happy(X... | ~brave(paul) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5952751658377491834854925
% SZS output start Proof for 5952751658377491834854925
3. ! [X0] : (happy(X0) <=> (~tall(X0) | curious(X0))) [input p2]
5. ! [X0] : (~quiet(X0) <=> (brave(X0) | funny(X0))) [input p4]
6. ! [X0] : ((~creative(X0) | ~quiet(X0)) <=> (old(X0) & ~curious(X0))) [input ... | 0 |
Everyone who is either brave or not happy is both generous and not generous and vice versa.
If john is both quiet and calm then alice is both curious and humble.
Everyone who is either not quiet or not calm is either rich or strong and vice versa.
Everyone who is not strong or not generous is not quiet and vice versa.
... | Lucy is calm. | contradiction | (![X]:((brave(X)<~>~happy(X))<=>(generous(X)&~generous(X))))&
(((quiet(john)&calm(john)))=>((curious(alice)&humble(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~strong(X)|~generous(X))<=>~quiet(X)))&
(![X]:((~patient(X)|brave(X))=>(happy(X)|funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(... | calm(lucy) | [
"p0",
"p2",
"p3",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7414632377495887112523839
% SZS output start Proof for 7414632377495887112523839
1. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (~generous(X0) & generous(X0))) [input p0]
3. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (rich(X0) <~> strong(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~strong(X... | 0 |
If mary is humble or generous then mary is quiet or curious and vice versa.
If john is tall or rich then fred is not creative or old.
If someone is not curious then lucy is funny or patient and vice versa.
If alice is both not kind and not happy then someone is calm or not curious and vice versa.
Everyone who is both o... | Alice is not happy. | neutral | (((humble(mary)|generous(mary)))<=>((quiet(mary)|curious(mary))))&
(((tall(john)|rich(john)))=>((~creative(fred)|old(fred))))&
((?[X]:(~curious(X)))<=>((funny(lucy)|patient(lucy))))&
(((~kind(alice)&~happy(alice)))<=>(?[X]:((calm(X)|~curious(X)))))&
(![X]:((old(X)&~wise(X))<=>(rich(X)<~>~quiet(X))))&
(![X]:(funny(X)=>c... | ~happy(alice) | [] | null | 0 |
Everyone who is both not old and humble is patient and vice versa.
If john is not humble then mary is wise or not wise.
Everyone who is old or not old is wise and vice versa.
Everyone who is both funny and not rich is both not brave and calm.
Everyone who is wise or not happy is both not calm and creative.
Everyone who... | Alice is not creative. | contradiction | (![X]:((~old(X)&humble(X))<=>patient(X)))&
((~humble(john))=>((wise(mary)|~wise(mary))))&
(![X]:((old(X)|~old(X))<=>wise(X)))&
(![X]:((funny(X)&~rich(X))=>(~brave(X)&calm(X))))&
(![X]:((wise(X)|~happy(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|~happy(X))=>(brave(X)&kind(X))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[... | ~creative(alice) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3230377717890957426701487
% SZS output start Proof for 3230377717890957426701487
3. ! [X0] : ((~old(X0) | old(X0)) <=> wise(X0)) [input p2]
5. ! [X0] : ((~happy(X0) | wise(X0)) => (creative(X0) & ~calm(X0))) [input p4]
23. ~creative(alice) [input hypothesis]
31. ! [X0] : ((creative(X0) & ... | 0 |
Everyone who is happy or tall is either not patient or brave. If someone is brave or calm then someone is old. If john is not generous or happy then someone is either not rich or not brave and vice versa. Everyone who is humble is quiet or creative. If fred is strong then john is rich. Everyone who is either not strong... | Lucy is funny. | contradiction | (![X]:((happy(X)|tall(X))=>(~patient(X)<~>brave(X))))&
((?[X]:((brave(X)|calm(X))))=>(?[X]:(old(X))))&
(((~generous(john)|happy(john)))<=>(?[X]:((~rich(X)<~>~brave(X)))))&
(![X]:(humble(X)=>(quiet(X)|creative(X))))&
((strong(fred))=>(rich(john)))&
(![X]:((~strong(X)<~>~wise(X))<=>calm(X)))&
(![X]:((creative(X)|~old(X))... | funny(lucy) | [
"p4",
"p7",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1367902315256710408307806
% SZS output start Proof for 1367902315256710408307806
5. strong(fred) => rich(john) [input p4]
8. ! [X0] : ((brave(X0) | ~kind(X0)) => ~humble(X0)) [input p7]
9. ! [X0] : ((~strong(X0) | ~kind(X0)) => (~quiet(X0) & brave(X0))) [input p8]
11. ~funny(lucy) <=> ? [... | 0 |
Everyone who is happy is either not kind or not curious and vice versa.
If someone is not wise or not happy then someone is not old or happy and vice versa.
If someone is either not humble or not old then fred is not humble.
If someone is wise then paul is both calm and not generous and vice versa.
Everyone who is not ... | Alice is old. | entailment | (![X]:(happy(X)<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~wise(X)|~happy(X))))<=>(?[X]:((~old(X)|happy(X)))))&
((?[X]:((~humble(X)<~>~old(X))))=>(~humble(fred)))&
((?[X]:(wise(X)))<=>((calm(paul)&~generous(paul))))&
(![X]:((~funny(X)|old(X))<=>(~rich(X)|~creative(X))))&
(![X]:((funny(X)|rich(X))<=>(generous(X)<~>~tall(X)... | old(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9178205026314832904404414
% SZS output start Proof for 9178205026314832904404414
11. ! [X0] : ((~old(X0) | curious(X0)) => (~old(X0) & old(X0))) [input p10]
23. ~old(alice) [input hypothesis]
27. ! [X0] : ((~old(X0) & old(X0)) | (old(X0) & ~curious(X0))) [ennf transformation 11]
118. old(... | 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... | Fred is not brave. | neutral | (![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... | ~brave(fred) | [] | null | 0 |
If alice is creative or not brave then someone is tall.
If someone is not humble or not funny then john is not generous or not quiet and vice versa.
Everyone who is old or humble is both tall and generous and vice versa.
Everyone who is not patient or not rich is either not quiet or not old.
Everyone who is brave is ki... | Mary is strong. | contradiction | (((creative(alice)|~brave(alice)))=>(?[X]:(tall(X))))&
((?[X]:((~humble(X)|~funny(X))))<=>((~generous(john)|~quiet(john))))&
(![X]:((old(X)|humble(X))<=>(tall(X)&generous(X))))&
(![X]:((~patient(X)|~rich(X))=>(~quiet(X)<~>~old(X))))&
(![X]:(brave(X)=>(kind(X)|curious(X))))&
((?[X]:(generous(X)))=>(?[X]:(~funny(X))))&
(... | strong(mary) | [
"p2",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7448940258488118079570795
% SZS output start Proof for 7448940258488118079570795
3. ! [X0] : ((humble(X0) | old(X0)) <=> (generous(X0) & tall(X0))) [input p2]
7. ! [X0] : ((creative(X0) | ~humble(X0)) => (~generous(X0) & old(X0))) [input p6]
9. (wise(mary) <~> generous(mary)) <=> ? [X0] :... | 0 |
Everyone who is not calm or rich is either curious or not wise and vice versa. Everyone who is both not rich and not patient is both brave and humble. Everyone who is not brave is either brave or not rich and vice versa. Everyone who is either not patient or not brave is brave or old. Everyone who is either not patient... | Susan is not quiet. | neutral | (![X]:((~calm(X)|rich(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&humble(X))))&
(![X]:(~brave(X)<=>(brave(X)<~>~rich(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(brave(X)|old(X))))&
(![X]:((~patient(X)<~>~curious(X))<=>(~creative(X)|~calm(X))))&
(![X]:((quiet(X)&~creative(X))=>(quiet(X)<~>fun... | ~quiet(susan) | [] | null | 0 |
If someone is not strong or kind then fred is not old.
If fred is not old or generous then susan is both quiet and calm and vice versa.
Everyone who is not wise is both not happy and not tall.
Everyone who is curious or funny is not quiet or not strong and vice versa.
Everyone who is either happy or calm is happy.
If f... | Susan is strong. | entailment | ((?[X]:((~strong(X)|kind(X))))=>(~old(fred)))&
(((~old(fred)|generous(fred)))<=>((quiet(susan)&calm(susan))))&
(![X]:(~wise(X)=>(~happy(X)&~tall(X))))&
(![X]:((curious(X)|funny(X))<=>(~quiet(X)|~strong(X))))&
(![X]:((happy(X)<~>calm(X))=>happy(X)))&
(((rich(fred)&quiet(fred)))=>(?[X]:((kind(X)<~>generous(X)))))&
(![X]:... | strong(susan) | [
"p0",
"p1",
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 47844665313680511256667
% SZS output start Proof for 47844665313680511256667
1. ? [X0] : (kind(X0) | ~strong(X0)) => ~old(fred) [input p0]
2. (generous(fred) | ~old(fred)) <=> (calm(susan) & quiet(susan)) [input p1]
5. ! [X0] : ((happy(X0) <~> calm(X0)) => happy(X0)) [input p4]
11. ! [X0]... | 0 |
If john is both wise and creative then someone is patient.
Everyone who is either curious or old is curious or kind and vice versa.
If someone is both rich and happy then someone is not generous or not patient and vice versa.
If someone is either funny or not humble then someone is funny or not curious.
If someone is n... | Paul is patient. | entailment | (((wise(john)&creative(john)))=>(?[X]:(patient(X))))&
(![X]:((curious(X)<~>old(X))<=>(curious(X)|kind(X))))&
((?[X]:((rich(X)&happy(X))))<=>(?[X]:((~generous(X)|~patient(X)))))&
((?[X]:((funny(X)<~>~humble(X))))=>(?[X]:((funny(X)|~curious(X)))))&
((?[X]:(~generous(X)))=>((~patient(john)<~>~humble(john))))&
((?[X]:((hap... | patient(paul) | [
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1234767002141249302171674
% SZS output start Proof for 1234767002141249302171674
12. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p11]
14. ! [X0] : ((old(X0) | ~calm(X0)) => (~patient(X0) <~> tall(X0))) [input p13]
15. ! [X0] : ((~tall(X0) | patient(X0)) => (funny(X0) | patien... | 0 |
If someone is not tall or not calm then someone is both calm and not humble.
Everyone who is not generous or not strong is either wise or funny.
Everyone who is both humble and tall is old and vice versa.
Everyone who is either not calm or not happy is either brave or not brave.
If fred is both not generous and not cal... | Fred is not strong. | contradiction | ((?[X]:((~tall(X)|~calm(X))))=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:((~generous(X)|~strong(X))=>(wise(X)<~>funny(X))))&
(![X]:((humble(X)&tall(X))<=>old(X)))&
(![X]:((~calm(X)<~>~happy(X))=>(brave(X)<~>~brave(X))))&
(((~generous(fred)&~calm(fred)))=>((patient(paul)&~quiet(paul))))&
((?[X]:(curious(X)))<=>(~strong(fred... | ~strong(fred) | [
"p0",
"p2",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5282887291172035663581026
% SZS output start Proof for 5282887291172035663581026
1. ? [X0] : (~calm(X0) | ~tall(X0)) => ? [X0] : (~humble(X0) & calm(X0)) [input p0]
3. ! [X0] : ((tall(X0) & humble(X0)) <=> old(X0)) [input p2]
13. ! [X0] : (calm(X0) <=> old(X0)) [input p12]
15. ! [X0] : ((... | 0 |
Everyone who is either generous or not humble is both rich and strong and vice versa. Everyone who is not funny or generous is both strong and not quiet and vice versa. If susan is not funny then someone is not quiet or old and vice versa. Everyone who is not brave is either not happy or patient and vice versa. If some... | John is rich. | neutral | (![X]:((generous(X)<~>~humble(X))<=>(rich(X)&strong(X))))&
(![X]:((~funny(X)|generous(X))<=>(strong(X)&~quiet(X))))&
((~funny(susan))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:(~brave(X)<=>(~happy(X)<~>patient(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(~patient(fred)))&
(![X]:(~calm(X)<=>(curious(X)&~wise(X))))&
(((~wise... | rich(john) | [] | null | 0 |
Everyone who is either not happy or not rich is not strong or quiet and vice versa.
Everyone who is not calm or not creative is not tall.
Everyone who is wise is either not strong or calm.
Everyone who is not brave or creative is either humble or not creative.
If someone is not funny then john is humble or tall and vic... | Lucy is not brave. | neutral | (![X]:((~happy(X)<~>~rich(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~calm(X)|~creative(X))=>~tall(X)))&
(![X]:(wise(X)=>(~strong(X)<~>calm(X))))&
(![X]:((~brave(X)|creative(X))=>(humble(X)<~>~creative(X))))&
((?[X]:(~funny(X)))<=>((humble(john)|tall(john))))&
(![X]:((rich(X)&~creative(X))=>(funny(X)|~tall(X))))&
((?[X]:(q... | ~brave(lucy) | [] | null | 0 |
If alice is not funny or not happy then susan is not calm and vice versa.
If john is not kind then paul is wise and vice versa.
Everyone who is not wise is either generous or not patient and vice versa.
Everyone who is brave is either not quiet or not patient and vice versa.
Everyone who is both not patient and quiet i... | Susan is not humble. | contradiction | (((~funny(alice)|~happy(alice)))<=>(~calm(susan)))&
((~kind(john))<=>(wise(paul)))&
(![X]:(~wise(X)<=>(generous(X)<~>~patient(X))))&
(![X]:(brave(X)<=>(~quiet(X)<~>~patient(X))))&
(![X]:((~patient(X)&quiet(X))<=>(~old(X)&~tall(X))))&
(((~curious(john)&~funny(john)))<=>((brave(lucy)<~>creative(lucy))))&
(![X]:((tall(X)|... | ~humble(susan) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 208153267291685315335513
% SZS output start Proof for 208153267291685315335513
5. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (~tall(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((creative(X0) | tall(X0)) <=> (~tall(X0) & old(X0))) [input p6]
16. (~wise(susan) & humble(susan)) <=> (quiet(mary) | ... | 0 |
Everyone who is creative or funny is either not brave or not humble and vice versa.
If someone is both creative and happy then someone is either happy or not humble and vice versa.
Everyone who is curious or tall is brave.
Everyone who is creative or not funny is not creative and vice versa.
If someone is not funny or ... | Fred is patient. | contradiction | (![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~generous(X)|~curious... | patient(fred) | [
"p0",
"p2",
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6454097938780817310513483
% SZS output start Proof for 6454097938780817310513483
1. ! [X0] : ((funny(X0) | creative(X0)) <=> (~brave(X0) <~> ~humble(X0))) [input p0]
3. ! [X0] : ((tall(X0) | curious(X0)) => brave(X0)) [input p2]
4. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) ... | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both kind and not kind is either not brave or curious.
Everyone who is both patient and not happy is either quiet or happy and vice versa.
If fred is either quiet or old then paul is both happy and... | Fred is not creative. | neutral | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)<~>curious(X))))&
(![X]:((patient(X)&~happy(X))<=>(quiet(X)<~>happy(X))))&
(((quiet(fred)<~>old(fred)))<=>((happy(paul)&wise(paul))))&
(![X]:(generous(X)<=>(curious(X)<~>wise(X))))&
((?[X]:((~patient(... | ~creative(fred) | [] | null | 0 |
Everyone who is wise is kind.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or kind and vice versa.
Everyone who is ... | Lucy is not rich. | contradiction | (![X]:(wise(X)=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~funny(X)))... | ~rich(lucy) | [
"p5",
"p7",
"p8",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 441056179260870087836167
% SZS output start Proof for 441056179260870087836167
6. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> (~funny(X0) | ~wise(X0))) [input p5]
8. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & funny(X0))) [input p7]
9. (old(lucy) | ~curious(lucy)) <=> ? [X0] : ... | 0 |
If someone is both not generous and humble then john is not calm and vice versa.
Everyone who is both generous and quiet is old and vice versa.
Everyone who is not kind is not strong and vice versa.
If someone is not generous then lucy is happy or not quiet and vice versa.
If susan is both not old and creative then joh... | John is calm. | contradiction | ((?[X]:((~generous(X)&humble(X))))<=>(~calm(john)))&
(![X]:((generous(X)&quiet(X))<=>old(X)))&
(![X]:(~kind(X)<=>~strong(X)))&
((?[X]:(~generous(X)))<=>((happy(lucy)|~quiet(lucy))))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>(wise(X)|~patient(X))))&
(![X]:((~creativ... | calm(john) | [
"p0",
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2191832602360482226314424
% SZS output start Proof for 2191832602360482226314424
1. ? [X0] : (humble(X0) & ~generous(X0)) <=> ~calm(john) [input p0]
7. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~patient(X0) & humble(X0))) [input p6]
24. ~wise(susan) & ~generous(susan) [input p23]
25. ca... | 0 |
Everyone who is both happy and not wise is both not creative and humble and vice versa.
Everyone who is either patient or not wise is not creative or wise.
Everyone who is not kind is either not wise or funny.
If fred is old or kind then fred is not brave or not wise and vice versa.
If someone is both not tall and not ... | Paul is brave. | entailment | (![X]:((happy(X)&~wise(X))<=>(~creative(X)&humble(X))))&
(![X]:((patient(X)<~>~wise(X))=>(~creative(X)|wise(X))))&
(![X]:(~kind(X)=>(~wise(X)<~>funny(X))))&
(((old(fred)|kind(fred)))<=>((~brave(fred)|~wise(fred))))&
((?[X]:((~tall(X)&~happy(X))))=>((quiet(lucy)<~>~tall(lucy))))&
(((~old(paul)|generous(paul)))<=>((rich(... | brave(paul) | [
"p0",
"p2",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4057173679784191226707937
% SZS output start Proof for 4057173679784191226707937
1. ! [X0] : ((~wise(X0) & happy(X0)) <=> (humble(X0) & ~creative(X0))) [input p0]
3. ! [X0] : (~kind(X0) => (~wise(X0) <~> funny(X0))) [input p2]
9. ! [X0] : (happy(X0) <=> ~humble(X0)) [input p8]
11. ! [X0] ... | 0 |
Everyone who is not tall is either patient or not humble. Everyone who is either kind or old is old or not patient. If someone is funny then someone is not calm. If someone is both not creative and not humble then alice is wise. Everyone who is not old or tall is not tall or creative. Everyone who is creative is curiou... | Lucy is calm. | neutral | (![X]:(~tall(X)=>(patient(X)<~>~humble(X))))&
(![X]:((kind(X)<~>old(X))=>(old(X)|~patient(X))))&
((?[X]:(funny(X)))=>(?[X]:(~calm(X))))&
((?[X]:((~creative(X)&~humble(X))))=>(wise(alice)))&
(![X]:((~old(X)|tall(X))=>(~tall(X)|creative(X))))&
(![X]:(creative(X)<=>(curious(X)|~old(X))))&
(((~wise(fred)<~>~funny(fred)))<=... | calm(lucy) | [] | null | 0 |
Everyone who is creative is not old. Everyone who is happy is rich. Everyone who is happy is either not calm or not strong. Everyone who is creative is not rich or tall. Everyone who is strong is not wise or not calm and vice versa. If someone is either calm or funny then john is not tall. If someone is either rich or ... | Alice is calm. | entailment | (![X]:(creative(X)=>~old(X)))&
(![X]:(happy(X)=>rich(X)))&
(![X]:(happy(X)=>(~calm(X)<~>~strong(X))))&
(![X]:(creative(X)=>(~rich(X)|tall(X))))&
(![X]:(strong(X)<=>(~wise(X)|~calm(X))))&
((?[X]:((calm(X)<~>funny(X))))=>(~tall(john)))&
((?[X]:((rich(X)<~>~old(X))))<=>((~happy(john)|~creative(john))))&
(![X]:((old(X)|ric... | calm(alice) | [
"p5",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2291967356950464166694951
% SZS output start Proof for 2291967356950464166694951
6. ? [X0] : (calm(X0) <~> funny(X0)) => ~tall(john) [input p5]
8. ! [X0] : ((rich(X0) | old(X0)) <=> (kind(X0) & calm(X0))) [input p7]
16. ! [X0] : ((~calm(X0) & ~old(X0)) => (~old(X0) <~> ~funny(X0))) [input... | 0 |
Everyone who is creative is not happy and vice versa.
Everyone who is either not kind or not old is either humble or strong and vice versa.
If john is both not wise and not rich then someone is old or not old and vice versa.
If paul is both calm and creative then someone is happy and vice versa.
Everyone who is not cur... | Susan is not creative. | contradiction | (![X]:(creative(X)<=>~happy(X)))&
(![X]:((~kind(X)<~>~old(X))<=>(humble(X)<~>strong(X))))&
(((~wise(john)&~rich(john)))<=>(?[X]:((old(X)|~old(X)))))&
(((calm(paul)&creative(paul)))<=>(?[X]:(happy(X))))&
(![X]:(~curious(X)<=>(strong(X)<~>~strong(X))))&
(((old(fred)&quiet(fred)))<=>((~brave(paul)<~>~kind(paul))))&
(((~ol... | ~creative(susan) | [
"p0",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2873565316542853212605068
% SZS output start Proof for 2873565316542853212605068
1. ! [X0] : (creative(X0) <=> ~happy(X0)) [input p0]
5. ! [X0] : (~curious(X0) <=> (strong(X0) <~> ~strong(X0))) [input p4]
20. ~happy(susan) | curious(susan) [input p19]
25. ~creative(susan) [input hypothesi... | 0 |
If someone is either not rich or kind then paul is humble.
Everyone who is either not tall or old is generous.
If fred is curious or humble then susan is either not wise or brave.
If alice is both wise and not brave then alice is either generous or quiet and vice versa.
If alice is either not quiet or not brave then so... | Fred is not kind. | contradiction | ((?[X]:((~rich(X)<~>kind(X))))=>(humble(paul)))&
(![X]:((~tall(X)<~>old(X))=>generous(X)))&
(((curious(fred)|humble(fred)))=>((~wise(susan)<~>brave(susan))))&
(((wise(alice)&~brave(alice)))<=>((generous(alice)<~>quiet(alice))))&
(((~quiet(alice)<~>~brave(alice)))=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~humble(X)<~... | ~kind(fred) | [
"p1",
"p7",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2775735999735154850164288
% SZS output start Proof for 2775735999735154850164288
2. ! [X0] : ((~tall(X0) <~> old(X0)) => generous(X0)) [input p1]
8. ! [X0] : (~kind(X0) => (strong(X0) & wise(X0))) [input p7]
10. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~old(X0) & brave(X0))) [input p9]
13. ... | 0 |
Everyone who is strong is not rich or humble and vice versa.
If john is rich then someone is either wise or not calm and vice versa.
If lucy is not generous then susan is not brave or not generous.
Everyone who is both curious and happy is not wise.
If susan is either not tall or wise then someone is not old or not hap... | John is not patient. | neutral | (![X]:(strong(X)<=>(~rich(X)|humble(X))))&
((rich(john))<=>(?[X]:((wise(X)<~>~calm(X)))))&
((~generous(lucy))=>((~brave(susan)|~generous(susan))))&
(![X]:((curious(X)&happy(X))=>~wise(X)))&
(((~tall(susan)<~>wise(susan)))<=>(?[X]:((~old(X)|~happy(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((rich(X)&generous(X)))))&
((?[X]:... | ~patient(john) | [] | null | 0 |
If someone is either not creative or generous then susan is both tall and happy.
Everyone who is creative is either quiet or not tall.
If alice is both not strong and not old then someone is calm or tall and vice versa.
Everyone who is rich is either funny or strong.
If alice is both quiet and not calm then someone is ... | Lucy is not curious. | neutral | ((?[X]:((~creative(X)<~>generous(X))))=>((tall(susan)&happy(susan))))&
(![X]:(creative(X)=>(quiet(X)<~>~tall(X))))&
(((~strong(alice)&~old(alice)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((quiet(alice)&~calm(alice)))<=>(?[X]:((rich(X)|calm(X)))))&
(![X]:((patient(X)&~tall(X))<=>(creat... | ~curious(lucy) | [] | null | 0 |
If someone is both not patient and wise then susan is both not kind and not humble and vice versa.
Everyone who is either quiet or tall is both curious and not rich.
If someone is not kind or brave then paul is either strong or brave and vice versa.
If paul is not curious then paul is not old.
Everyone who is either qu... | Susan is old. | contradiction | ((?[X]:((~patient(X)&wise(X))))<=>((~kind(susan)&~humble(susan))))&
(![X]:((quiet(X)<~>tall(X))=>(curious(X)&~rich(X))))&
((?[X]:((~kind(X)|brave(X))))<=>((strong(paul)<~>brave(paul))))&
((~curious(paul))=>(~old(paul)))&
(![X]:((quiet(X)<~>~humble(X))<=>(tall(X)&strong(X))))&
(![X]:((old(X)<~>calm(X))=>(old(X)&kind(X))... | old(susan) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8144243171675821660293818
% SZS output start Proof for 8144243171675821660293818
1. ? [X0] : (wise(X0) & ~patient(X0)) <=> (~humble(susan) & ~kind(susan)) [input p0]
2. ! [X0] : ((quiet(X0) <~> tall(X0)) => (~rich(X0) & curious(X0))) [input p1]
5. ! [X0] : ((quiet(X0) <~> ~humble(X0)) <=>... | 0 |
Everyone who is both patient and not patient is kind.
If someone is either not brave or not funny then someone is either not kind or quiet and vice versa.
Everyone who is either not creative or curious is not humble and vice versa.
Everyone who is quiet or not quiet is both quiet and strong.
If paul is either patient o... | Alice is not humble. | contradiction | (![X]:((patient(X)&~patient(X))=>kind(X)))&
((?[X]:((~brave(X)<~>~funny(X))))<=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~creative(X)<~>curious(X))<=>~humble(X)))&
(![X]:((quiet(X)|~quiet(X))=>(quiet(X)&strong(X))))&
(((patient(paul)<~>curious(paul)))<=>((~generous(paul)<~>~brave(paul))))&
(![X]:((generous(X)|~generous... | ~humble(alice) | [
"p1",
"p2",
"p3",
"p5",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6211800604946293994774528
% SZS output start Proof for 6211800604946293994774528
2. ? [X0] : (~brave(X0) <~> ~funny(X0)) <=> ? [X0] : (~kind(X0) <~> quiet(X0)) [input p1]
3. ! [X0] : ((~creative(X0) <~> curious(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) | quiet(X0)) => (str... | 0 |
Everyone who is both strong and creative is both not quiet and not creative.
Everyone who is both creative and calm is not calm and vice versa.
If paul is quiet or not old then someone is both tall and happy.
Everyone who is both not brave and generous is both patient and not brave.
If mary is either not brave or old t... | John is not tall. | entailment | (![X]:((strong(X)&creative(X))=>(~quiet(X)&~creative(X))))&
(![X]:((creative(X)&calm(X))<=>~calm(X)))&
(((quiet(paul)|~old(paul)))=>(?[X]:((tall(X)&happy(X)))))&
(![X]:((~brave(X)&generous(X))=>(patient(X)&~brave(X))))&
(((~brave(mary)<~>old(mary)))=>(?[X]:(old(X))))&
(![X]:((~creative(X)&~strong(X))<=>~patient(X)))&
(... | ~tall(john) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7778504026026680525122578
% SZS output start Proof for 7778504026026680525122578
2. ! [X0] : ((calm(X0) & creative(X0)) <=> ~calm(X0)) [input p1]
14. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (calm(X0) <~> creative(X0))) [input p13]
24. tall(john) [input hypothesis]
37. ! [X0] : (((calm(X... | 0 |
If someone is both wise and not quiet then paul is not kind or creative and vice versa. Everyone who is either not old or patient is either tall or calm and vice versa. Everyone who is not happy or not rich is either not rich or not creative. If someone is funny then susan is either rich or not funny. Everyone who is n... | Susan is not funny. | contradiction | ((?[X]:((wise(X)&~quiet(X))))<=>((~kind(paul)|creative(paul))))&
(![X]:((~old(X)<~>patient(X))<=>(tall(X)<~>calm(X))))&
(![X]:((~happy(X)|~rich(X))=>(~rich(X)<~>~creative(X))))&
((?[X]:(funny(X)))=>((rich(susan)<~>~funny(susan))))&
(![X]:(~brave(X)=>(quiet(X)&~tall(X))))&
(![X]:((~rich(X)|tall(X))=>(~calm(X)&~creative(... | ~funny(susan) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8961324123484212090534824
% SZS output start Proof for 8961324123484212090534824
1. ? [X0] : (~quiet(X0) & wise(X0)) <=> (creative(paul) | ~kind(paul)) [input p0]
3. ! [X0] : ((~rich(X0) | ~happy(X0)) => (~rich(X0) <~> ~creative(X0))) [input p2]
4. ? [X0] : funny(X0) => (rich(susan) <~> ~... | 0 |
Everyone who is not generous or patient is both not kind and not creative. If someone is either tall or not rich then someone is either not strong or not tall and vice versa. If someone is calm or tall then someone is both not calm and not quiet. Everyone who is either wise or not funny is not happy and vice versa. If ... | Susan is not curious. | entailment | (![X]:((~generous(X)|patient(X))=>(~kind(X)&~creative(X))))&
((?[X]:((tall(X)<~>~rich(X))))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
((?[X]:((calm(X)|tall(X))))=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>~happy(X)))&
((?[X]:((patient(X)|~kind(X))))=>((~creative(mary)&strong(mary))))&
((?[X]:((~generous... | ~curious(susan) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1143710114828208205655019
% SZS output start Proof for 1143710114828208205655019
1. ! [X0] : ((patient(X0) | ~generous(X0)) => (~creative(X0) & ~kind(X0))) [input p0]
5. ? [X0] : (~kind(X0) | patient(X0)) => (strong(mary) & ~creative(mary)) [input p4]
7. ! [X0] : ((~funny(X0) | ~creative(... | 0 |
Everyone who is both brave and not curious is not humble or not creative.
If lucy is both creative and patient then someone is patient or not tall and vice versa.
If someone is both not funny and creative then someone is brave.
If someone is both not kind and not strong then fred is not generous and vice versa.
If john... | John is not quiet. | neutral | (![X]:((brave(X)&~curious(X))=>(~humble(X)|~creative(X))))&
(((creative(lucy)&patient(lucy)))<=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((~funny(X)&creative(X))))=>(?[X]:(brave(X))))&
((?[X]:((~kind(X)&~strong(X))))<=>(~generous(fred)))&
(((wise(john)<~>creative(john)))=>((wise(john)<~>funny(john))))&
(![X]:((~wise(X)|... | ~quiet(john) | [] | null | 0 |
If fred is patient or not wise then someone is either quiet or not brave. If someone is either not brave or old then susan is quiet or rich. Everyone who is not wise is either not strong or not humble. Everyone who is not creative is happy or not happy. Everyone who is both not curious and not rich is either strong or ... | Alice is calm. | contradiction | (((patient(fred)|~wise(fred)))=>(?[X]:((quiet(X)<~>~brave(X)))))&
((?[X]:((~brave(X)<~>old(X))))=>((quiet(susan)|rich(susan))))&
(![X]:(~wise(X)=>(~strong(X)<~>~humble(X))))&
(![X]:(~creative(X)=>(happy(X)|~happy(X))))&
(![X]:((~curious(X)&~rich(X))=>(strong(X)<~>~creative(X))))&
(![X]:((~patient(X)<~>~old(X))=>creativ... | calm(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7587258098770541685213767
% SZS output start Proof for 7587258098770541685213767
14. ! [X0] : (tall(X0) <=> (~calm(X0) | ~tall(X0))) [input p13]
25. calm(alice) [input hypothesis]
59. ! [X0] : ((tall(X0) | (calm(X0) & tall(X0))) & ((~calm(X0) | ~tall(X0)) | ~tall(X0))) [nnf transformation... | 0 |
If someone is either curious or happy then john is either not tall or not generous and vice versa.
Everyone who is happy or old is not brave or not patient and vice versa.
Everyone who is humble or not quiet is patient and vice versa.
If susan is either funny or brave then lucy is either not wise or not brave and vice ... | Susan is not generous. | neutral | ((?[X]:((curious(X)<~>happy(X))))<=>((~tall(john)<~>~generous(john))))&
(![X]:((happy(X)|old(X))<=>(~brave(X)|~patient(X))))&
(![X]:((humble(X)|~quiet(X))<=>patient(X)))&
(((funny(susan)<~>brave(susan)))<=>((~wise(lucy)<~>~brave(lucy))))&
(((~curious(paul)|~patient(paul)))<=>(?[X]:((~curious(X)|~generous(X)))))&
(((~pa... | ~generous(susan) | [] | null | 0 |
If alice is both quiet and patient then john is either generous or not humble and vice versa.
Everyone who is not generous or creative is old and vice versa.
Everyone who is curious or happy is either not strong or tall.
Everyone who is both wise and calm is quiet or humble and vice versa.
Everyone who is both not tall... | Lucy is happy. | contradiction | (((quiet(alice)&patient(alice)))<=>((generous(john)<~>~humble(john))))&
(![X]:((~generous(X)|creative(X))<=>old(X)))&
(![X]:((curious(X)|happy(X))=>(~strong(X)<~>tall(X))))&
(![X]:((wise(X)&calm(X))<=>(quiet(X)|humble(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~strong(X)&~funny(X))))&
(![X]:(~creative(X)=>(old(X)&~creative... | happy(lucy) | [
"p1",
"p2",
"p5",
"p7",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3574956782388285199830422
% SZS output start Proof for 3574956782388285199830422
2. ! [X0] : ((creative(X0) | ~generous(X0)) <=> old(X0)) [input p1]
3. ! [X0] : ((happy(X0) | curious(X0)) => (~strong(X0) <~> tall(X0))) [input p2]
6. ! [X0] : (~creative(X0) => (~creative(X0) & old(X0))) [i... | 0 |
Everyone who is both kind and not creative is both funny and strong.
Everyone who is both tall and quiet is both not old and not funny and vice versa.
Everyone who is either not funny or not humble is both not rich and quiet.
If mary is funny then alice is either old or humble and vice versa.
If alice is either not hap... | Paul is not generous. | neutral | (![X]:((kind(X)&~creative(X))=>(funny(X)&strong(X))))&
(![X]:((tall(X)&quiet(X))<=>(~old(X)&~funny(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(~rich(X)&quiet(X))))&
((funny(mary))<=>((old(alice)<~>humble(alice))))&
(((~happy(alice)<~>~kind(alice)))=>(?[X]:(~quiet(X))))&
(((~patient(paul)<~>~creative(paul)))=>((~strong(luc... | ~generous(paul) | [] | null | 0 |
Everyone who is both funny and not funny is either not brave or tall and vice versa.
Everyone who is not generous or not brave is not humble.
Everyone who is not curious or not tall is either not patient or not rich.
Everyone who is tall is either curious or rich.
Everyone who is not kind or not rich is rich and vice v... | Alice is not tall. | contradiction | (![X]:((funny(X)&~funny(X))<=>(~brave(X)<~>tall(X))))&
(![X]:((~generous(X)|~brave(X))=>~humble(X)))&
(![X]:((~curious(X)|~tall(X))=>(~patient(X)<~>~rich(X))))&
(![X]:(tall(X)=>(curious(X)<~>rich(X))))&
(![X]:((~kind(X)|~rich(X))<=>rich(X)))&
((?[X]:((~wise(X)|funny(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((... | ~tall(alice) | [
"p0",
"p5",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 34153355866322041883627
% SZS output start Proof for 34153355866322041883627
1. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~brave(X0) <~> tall(X0))) [input p0]
6. ? [X0] : (funny(X0) | ~wise(X0)) <=> (~strong(alice) & ~patient(alice)) [input p5]
14. ? [X0] : wise(X0) <=> (curious(fred) & cre... | 0 |
Everyone who is both humble and brave is not creative and vice versa.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not qu... | Susan is not wise. | entailment | (![X]:((humble(X)&brave(X))<=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((~... | ~wise(susan) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 195041394782224469613074
% SZS output start Proof for 195041394782224469613074
1. ! [X0] : ((brave(X0) & humble(X0)) <=> ~creative(X0)) [input p0]
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
6. ! [X0] : ((rich(X0) | calm(X0)) => (~rich(X0) <~> ~brave(X0))) [input p5]
8... | 0 |
Everyone who is both not wise and humble is both tall and humble. Everyone who is not funny or patient is not funny or quiet and vice versa. Everyone who is both not creative and not strong is brave or creative and vice versa. If mary is not rich or wise then someone is both not creative and tall and vice versa. If som... | Mary is patient. | contradiction | (![X]:((~wise(X)&humble(X))=>(tall(X)&humble(X))))&
(![X]:((~funny(X)|patient(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~creative(X)&~strong(X))<=>(brave(X)|creative(X))))&
(((~rich(mary)|wise(mary)))<=>(?[X]:((~creative(X)&tall(X)))))&
((?[X]:((tall(X)<~>~curious(X))))=>(?[X]:((~funny(X)<~>funny(X)))))&
(![X]:((old(X)|~ca... | patient(mary) | [
"p1",
"p2",
"p5",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 726626352131144543853867
% SZS output start Proof for 726626352131144543853867
2. ! [X0] : ((patient(X0) | ~funny(X0)) <=> (quiet(X0) | ~funny(X0))) [input p1]
3. ! [X0] : ((~strong(X0) & ~creative(X0)) <=> (creative(X0) | brave(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | old(X0)) => (~cal... | 0 |
Everyone who is both not brave and creative is humble or not patient.
Everyone who is both rich and not patient is both not old and brave and vice versa.
Everyone who is rich is either not brave or brave.
If someone is both not happy and rich then paul is humble and vice versa.
If john is both not patient and not old t... | Fred is quiet. | neutral | (![X]:((~brave(X)&creative(X))=>(humble(X)|~patient(X))))&
(![X]:((rich(X)&~patient(X))<=>(~old(X)&brave(X))))&
(![X]:(rich(X)=>(~brave(X)<~>brave(X))))&
((?[X]:((~happy(X)&rich(X))))<=>(humble(paul)))&
(((~patient(john)&~old(john)))<=>(?[X]:((wise(X)&~patient(X)))))&
((?[X]:((quiet(X)|~brave(X))))=>(?[X]:(~strong(X)))... | quiet(fred) | [] | null | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is humble and vice versa. Everyone who is not kind or rich is kind or not humble. Everyone who is either not curious or funny is curious or not funny. Everyone who is either brave or creative is rich or not creative. If someo... | Susan is not humble. | neutral | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>humble(X)))&
(![X]:((~kind(X)|rich(X))=>(kind(X)|~humble(X))))&
(![X]:((~curious(X)<~>funny(X))=>(curious(X)|~funny(X))))&
(![X]:((brave(X)<~>creative(X))=>(rich(X)|~creative(X))))&
((?[X]:((kind(X)&strong(X))))<=>((creative(fred)&rich(fred... | ~humble(susan) | [] | null | 0 |
If fred is either happy or humble then someone is brave.
Everyone who is strong is creative and vice versa.
Everyone who is rich is both generous and creative and vice versa.
If someone is not curious then alice is both not tall and not calm and vice versa.
If fred is both strong and rich then someone is funny.
Everyon... | John is brave. | neutral | (((happy(fred)<~>humble(fred)))=>(?[X]:(brave(X))))&
(![X]:(strong(X)<=>creative(X)))&
(![X]:(rich(X)<=>(generous(X)&creative(X))))&
((?[X]:(~curious(X)))<=>((~tall(alice)&~calm(alice))))&
(((strong(fred)&rich(fred)))=>(?[X]:(funny(X))))&
(![X]:((~brave(X)&generous(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~t... | brave(john) | [] | null | 0 |
If alice is brave or not happy then lucy is not generous and vice versa.
If fred is not curious then someone is both rich and old and vice versa.
Everyone who is either happy or wise is both funny and calm and vice versa.
If someone is not happy then susan is both not wise and not funny and vice versa.
If paul is eithe... | Lucy is old. | contradiction | (((brave(alice)|~happy(alice)))<=>(~generous(lucy)))&
((~curious(fred))<=>(?[X]:((rich(X)&old(X)))))&
(![X]:((happy(X)<~>wise(X))<=>(funny(X)&calm(X))))&
((?[X]:(~happy(X)))<=>((~wise(susan)&~funny(susan))))&
(((~generous(paul)<~>quiet(paul)))=>(?[X]:((curious(X)|calm(X)))))&
(![X]:((~happy(X)<~>~kind(X))<=>(curious(X)... | old(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8824989854325523324601891
% SZS output start Proof for 8824989854325523324601891
9. ! [X0] : ((~happy(X0) | old(X0)) <=> ~old(X0)) [input p8]
25. old(lucy) [input hypothesis]
63. ! [X0] : (((~happy(X0) | old(X0)) | old(X0)) & (~old(X0) | (happy(X0) & ~old(X0)))) [nnf transformation 9]
64.... | 0 |
If someone is not brave or not calm then someone is not quiet and vice versa. If lucy is either curious or strong then someone is not quiet. Everyone who is brave or calm is tall. Everyone who is both generous and happy is not tall or calm and vice versa. If mary is both kind and happy then susan is both not brave and ... | Mary is not quiet. | entailment | ((?[X]:((~brave(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((brave(X)|calm(X))=>tall(X)))&
(![X]:((generous(X)&happy(X))<=>(~tall(X)|calm(X))))&
(((kind(mary)&happy(mary)))<=>((~brave(susan)&~old(susan))))&
(((humble(susan)|~kind(susan)))<=>(?[X]:((patient(X)|wis... | ~quiet(mary) | [
"p3",
"p6",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5865285041903247981350774
% SZS output start Proof for 5865285041903247981350774
4. ! [X0] : ((happy(X0) & generous(X0)) <=> (calm(X0) | ~tall(X0))) [input p3]
7. ! [X0] : (~humble(X0) <=> (~happy(X0) | curious(X0))) [input p6]
13. ! [X0] : ((wise(X0) & ~humble(X0)) <=> (tall(X0) <~> gene... | 0 |
Everyone who is both brave and wise is both not kind and patient. If someone is quiet then someone is both creative and not funny. Everyone who is curious or funny is both curious and not creative and vice versa. If susan is tall then alice is both quiet and tall and vice versa. If someone is not patient or strong then... | Susan is not wise. | neutral | (![X]:((brave(X)&wise(X))=>(~kind(X)&patient(X))))&
((?[X]:(quiet(X)))=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:((curious(X)|funny(X))<=>(curious(X)&~creative(X))))&
((tall(susan))<=>((quiet(alice)&tall(alice))))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:((happy(X)|~tall(X))=>(quie... | ~wise(susan) | [] | null | 0 |
Everyone who is both not wise and curious is wise and vice versa. Everyone who is quiet or not generous is quiet or not funny and vice versa. Everyone who is creative or not humble is both creative and not funny. Everyone who is wise is not patient or not kind and vice versa. Everyone who is wise is both not humble and... | John is old. | entailment | (![X]:((~wise(X)&curious(X))<=>wise(X)))&
(![X]:((quiet(X)|~generous(X))<=>(quiet(X)|~funny(X))))&
(![X]:((creative(X)|~humble(X))=>(creative(X)&~funny(X))))&
(![X]:(wise(X)<=>(~patient(X)|~kind(X))))&
(![X]:(wise(X)=>(~humble(X)&~happy(X))))&
(![X]:((~strong(X)<~>rich(X))=>(~tall(X)<~>~patient(X))))&
(![X]:((~old(X)|~... | old(john) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 832346852219986265612992
% SZS output start Proof for 832346852219986265612992
1. ! [X0] : ((curious(X0) & ~wise(X0)) <=> wise(X0)) [input p0]
7. ! [X0] : ((~quiet(X0) | ~old(X0)) => (curious(X0) | wise(X0))) [input p6]
25. ~old(john) [input hypothesis]
33. ! [X0] : ((curious(X0) | wise(X... | 0 |
If paul is both not generous and not creative then mary is not brave and vice versa.
If someone is either not humble or not curious then fred is both patient and brave.
Everyone who is not wise is not patient or old and vice versa.
Everyone who is humble or not patient is both strong and not funny and vice versa.
Every... | Alice is happy. | entailment | (((~generous(paul)&~creative(paul)))<=>(~brave(mary)))&
((?[X]:((~humble(X)<~>~curious(X))))=>((patient(fred)&brave(fred))))&
(![X]:(~wise(X)<=>(~patient(X)|old(X))))&
(![X]:((humble(X)|~patient(X))<=>(strong(X)&~funny(X))))&
(![X]:((~rich(X)|~kind(X))=>(~kind(X)&happy(X))))&
((?[X]:((old(X)&~creative(X))))=>(happy(luc... | happy(alice) | [
"p2",
"p3",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 512933298520172147436107
% SZS output start Proof for 512933298520172147436107
3. ! [X0] : (~wise(X0) <=> (old(X0) | ~patient(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | humble(X0)) <=> (~funny(X0) & strong(X0))) [input p3]
11. ! [X0] : ((wise(X0) & patient(X0)) => (patient(X0) & ~patie... | 0 |
Everyone who is both strong and not quiet is either not old or patient and vice versa. If paul is not calm or not generous then susan is quiet and vice versa. Everyone who is both curious and calm is happy or not tall and vice versa. If someone is kind or not quiet then someone is tall and vice versa. If someone is bot... | Paul is calm. | entailment | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>patient(X))))&
(((~calm(paul)|~generous(paul)))<=>(quiet(susan)))&
(![X]:((curious(X)&calm(X))<=>(happy(X)|~tall(X))))&
((?[X]:((kind(X)|~quiet(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~patient(X)&strong(X))))=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~old(X))<=>brave(X)))&
(((~cur... | calm(paul) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7379127205450042492397293
% SZS output start Proof for 7379127205450042492397293
3. ! [X0] : ((calm(X0) & curious(X0)) <=> (~tall(X0) | happy(X0))) [input p2]
16. ! [X0] : ((~strong(X0) & tall(X0)) <=> strong(X0)) [input p15]
21. ~calm(paul) [input hypothesis]
37. ! [X0] : (((calm(X0) & c... | 0 |
If someone is not rich or not creative then paul is happy or not calm and vice versa.
If lucy is not strong then fred is not quiet.
Everyone who is humble or generous is both creative and happy and vice versa.
Everyone who is both humble and not old is not humble.
Everyone who is both kind and not patient is not creati... | John is rich. | contradiction | ((?[X]:((~rich(X)|~creative(X))))<=>((happy(paul)|~calm(paul))))&
((~strong(lucy))=>(~quiet(fred)))&
(![X]:((humble(X)|generous(X))<=>(creative(X)&happy(X))))&
(![X]:((humble(X)&~old(X))=>~humble(X)))&
(![X]:((kind(X)&~patient(X))<=>~creative(X)))&
(![X]:((funny(X)&~old(X))<=>(~creative(X)&wise(X))))&
(![X]:((rich(X)<~... | rich(john) | [
"p4",
"p10",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5302876615168913200973248
% SZS output start Proof for 5302876615168913200973248
5. ! [X0] : ((~patient(X0) & kind(X0)) <=> ~creative(X0)) [input p4]
11. ! [X0] : ((~rich(X0) <~> quiet(X0)) <=> (wise(X0) & kind(X0))) [input p10]
12. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (~calm(X0) & cre... | 0 |
Everyone who is not humble or rich is generous.
Everyone who is not generous or not rich is brave.
If someone is both calm and rich then susan is either not rich or not wise and vice versa.
If paul is either generous or old then someone is wise and vice versa.
Everyone who is quiet or not calm is both not strong and no... | Alice is generous. | entailment | (![X]:((~humble(X)|rich(X))=>generous(X)))&
(![X]:((~generous(X)|~rich(X))=>brave(X)))&
((?[X]:((calm(X)&rich(X))))<=>((~rich(susan)<~>~wise(susan))))&
(((generous(paul)<~>old(paul)))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~patient(X)<~>tall(X))<=>~generous(X)))&
(![X]:((kind... | generous(alice) | [
"p4",
"p8",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8920958558812805021402028
% SZS output start Proof for 8920958558812805021402028
5. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (~rich(X0) & ~strong(X0))) [input p4]
9. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> (~quiet(X0) & curious(X0))) [input p8]
12. ! [X0] : ((strong(X0) & curious(X0)) <=>... | 0 |
Everyone who is either not rich or not curious is not wise or not happy.
If someone is patient then alice is generous.
If someone is either tall or not strong then someone is not brave or tall and vice versa.
Everyone who is creative or not quiet is either not kind or rich and vice versa.
Everyone who is either not str... | Alice is not rich. | neutral | (![X]:((~rich(X)<~>~curious(X))=>(~wise(X)|~happy(X))))&
((?[X]:(patient(X)))=>(generous(alice)))&
((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:((creative(X)|~quiet(X))<=>(~kind(X)<~>rich(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~strong(X)<~>rich(X))))&
((~rich(john))=>((funny(paul)<~>patient(... | ~rich(alice) | [] | null | 0 |
Everyone who is not brave or not calm is not kind and vice versa.
Everyone who is either funny or not quiet is happy or not wise and vice versa.
Everyone who is old or brave is both tall and not humble and vice versa.
Everyone who is either not happy or happy is both not curious and quiet.
Everyone who is not calm is b... | Paul is tall. | contradiction | (![X]:((~brave(X)|~calm(X))<=>~kind(X)))&
(![X]:((funny(X)<~>~quiet(X))<=>(happy(X)|~wise(X))))&
(![X]:((old(X)|brave(X))<=>(tall(X)&~humble(X))))&
(![X]:((~happy(X)<~>happy(X))=>(~curious(X)&quiet(X))))&
(![X]:(~calm(X)<=>(curious(X)&~strong(X))))&
(![X]:((~kind(X)|~brave(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((calm... | tall(paul) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2736913085009285091926420
% SZS output start Proof for 2736913085009285091926420
1. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : ((~happy(X0) <~> happy(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (~strong(X0) & curious(X0))) [input... | 0 |
If john is creative then fred is both patient and curious and vice versa.
Everyone who is calm or not rich is not kind or strong and vice versa.
If someone is not happy then fred is humble or creative.
Everyone who is not humble or happy is both kind and patient.
Everyone who is not kind is not wise or not quiet.
If jo... | Susan is not kind. | neutral | ((creative(john))<=>((patient(fred)&curious(fred))))&
(![X]:((calm(X)|~rich(X))<=>(~kind(X)|strong(X))))&
((?[X]:(~happy(X)))=>((humble(fred)|creative(fred))))&
(![X]:((~humble(X)|happy(X))=>(kind(X)&patient(X))))&
(![X]:(~kind(X)=>(~wise(X)|~quiet(X))))&
((~old(john))<=>(?[X]:(brave(X))))&
(![X]:((~quiet(X)<~>old(X))=... | ~kind(susan) | [] | null | 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 either patient or happy is either not curious or not humble.
If susan is both humble and quiet then mary is creative or kind and vice versa.
... | Fred is not rich. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((patient(X)<~>happy(X))=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious... | ~rich(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3128056499874196060971119
% SZS output start Proof for 3128056499874196060971119
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (calm(X0) & ~calm(X0))) [input p1]
24. rich(fred) [input hypothesis]
35. ! [X0] : (((strong(X0) | rich(X0)) | (~calm(X0) | calm(X0))) & ((calm(X0) & ~calm(X0)) | (~str... | 0 |
Everyone who is either creative or calm is brave. If someone is either not patient or not funny then fred is both wise and strong. Everyone who is wise or not humble is not happy and vice versa. Everyone who is funny or not old is either generous or not patient and vice versa. If someone is funny then paul is wise and ... | Paul is tall. | contradiction | (![X]:((creative(X)<~>calm(X))=>brave(X)))&
((?[X]:((~patient(X)<~>~funny(X))))=>((wise(fred)&strong(fred))))&
(![X]:((wise(X)|~humble(X))<=>~happy(X)))&
(![X]:((funny(X)|~old(X))<=>(generous(X)<~>~patient(X))))&
((?[X]:(funny(X)))<=>(wise(paul)))&
(((rich(alice)&tall(alice)))<=>((~calm(paul)<~>brave(paul))))&
(![X]:((... | tall(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p8",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3682262330674941502497211
% SZS output start Proof for 3682262330674941502497211
1. ! [X0] : ((creative(X0) <~> calm(X0)) => brave(X0)) [input p0]
2. ? [X0] : (~patient(X0) <~> ~funny(X0)) => (strong(fred) & wise(fred)) [input p1]
3. ! [X0] : ((~humble(X0) | wise(X0)) <=> ~happy(X0)) [inp... | 0 |
Everyone who is old or not curious is both curious and not brave and vice versa.
Everyone who is either rich or patient is either kind or not strong.
If someone is either calm or not tall then john is either not kind or not quiet and vice versa.
If someone is either generous or wise then someone is both not old and not... | Mary is not funny. | neutral | (![X]:((old(X)|~curious(X))<=>(curious(X)&~brave(X))))&
(![X]:((rich(X)<~>patient(X))=>(kind(X)<~>~strong(X))))&
((?[X]:((calm(X)<~>~tall(X))))<=>((~kind(john)<~>~quiet(john))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:((~old(X)&~rich(X)))))&
((~calm(paul))<=>((quiet(alice)&tall(alice))))&
(![X]:(~generous(X)=>(~quiet... | ~funny(mary) | [] | null | 0 |
If fred is humble or not happy then someone is old. Everyone who is either not quiet or not curious is not rich or quiet. If someone is not brave or old then alice is either rich or strong. If someone is not generous or tall then someone is kind and vice versa. Everyone who is both not quiet and not kind is not calm or... | Lucy is not patient. | entailment | (((humble(fred)|~happy(fred)))=>(?[X]:(old(X))))&
(![X]:((~quiet(X)<~>~curious(X))=>(~rich(X)|quiet(X))))&
((?[X]:((~brave(X)|old(X))))=>((rich(alice)<~>strong(alice))))&
((?[X]:((~generous(X)|tall(X))))<=>(?[X]:(kind(X))))&
(![X]:((~quiet(X)&~kind(X))<=>(~calm(X)|patient(X))))&
(![X]:((brave(X)&~kind(X))<=>(~tall(X)|~... | ~patient(lucy) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1768217604215616582720609
% SZS output start Proof for 1768217604215616582720609
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> (patient(X0) | ~calm(X0))) [input p4]
19. kind(lucy) & creative(lucy) [input p18]
25. patient(lucy) [input hypothesis]
53. ! [X0] : (((~kind(X0) & ~quiet(X0)) | (~pat... | 0 |
If fred is both not funny and not patient then someone is either tall or not generous and vice versa.
If susan is not rich then someone is either not strong or humble and vice versa.
Everyone who is either not brave or not funny is both brave and not tall and vice versa.
Everyone who is either not humble or strong is e... | Fred is funny. | contradiction | (((~funny(fred)&~patient(fred)))<=>(?[X]:((tall(X)<~>~generous(X)))))&
((~rich(susan))<=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:((~brave(X)<~>~funny(X))<=>(brave(X)&~tall(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(~old(X)<~>~quiet(X))))&
((?[X]:((humble(X)|rich(X))))<=>(?[X]:((wise(X)<~>old(X)))))&
((~wise(lucy))<=>(... | funny(fred) | [
"p0",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6195838620723941845952933
% SZS output start Proof for 6195838620723941845952933
1. (~patient(fred) & ~funny(fred)) <=> ? [X0] : (tall(X0) <~> ~generous(X0)) [input p0]
11. ! [X0] : ((quiet(X0) | curious(X0)) <=> tall(X0)) [input p10]
20. ? [X0] : (curious(X0) & generous(X0)) [input p19]
... | 0 |
Everyone who is not kind or not patient is not patient or not creative and vice versa. Everyone who is both not quiet and not calm is curious. Everyone who is either not humble or not quiet is old and vice versa. If someone is either not happy or curious then fred is either happy or generous and vice versa. Everyone wh... | Fred is happy. | entailment | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)|~creative(X))))&
(![X]:((~quiet(X)&~calm(X))=>curious(X)))&
(![X]:((~humble(X)<~>~quiet(X))<=>old(X)))&
((?[X]:((~happy(X)<~>curious(X))))<=>((happy(fred)<~>generous(fred))))&
(![X]:((creative(X)<~>~rich(X))=>(wise(X)&~kind(X))))&
((?[X]:((patient(X)&~funny(X))))<=>((~funny(... | happy(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8816687471797407579153007
% SZS output start Proof for 8816687471797407579153007
17. happy(fred) & ~rich(fred) [input p16]
21. ~happy(fred) [input hypothesis]
124. happy(fred) [cnf transformation 17]
131. ~happy(fred) [cnf transformation 21]
143. 2 <=> happy(fred) [avatar definition]
275.... | 0 |
Everyone who is generous is both creative and not old.
Everyone who is not tall is either not creative or not quiet and vice versa.
Everyone who is both generous and funny is either not tall or patient and vice versa.
Everyone who is not kind or quiet is calm and vice versa.
Everyone who is either creative or strong is... | Lucy is old. | contradiction | (![X]:(generous(X)=>(creative(X)&~old(X))))&
(![X]:(~tall(X)<=>(~creative(X)<~>~quiet(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)<~>patient(X))))&
(![X]:((~kind(X)|quiet(X))<=>calm(X)))&
(![X]:((creative(X)<~>strong(X))<=>(calm(X)|~happy(X))))&
(![X]:((~patient(X)<~>generous(X))=>calm(X)))&
(![X]:(~old(X)=>(~wise(... | old(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7439718511438642322998066
% SZS output start Proof for 7439718511438642322998066
1. ! [X0] : (generous(X0) => (~old(X0) & creative(X0))) [input p0]
2. ! [X0] : (~tall(X0) <=> (~creative(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((funny(X0) & generous(X0)) <=> (~tall(X0) <~> patient(X0))... | 0 |
Everyone who is either kind or not old is either curious or not rich. If someone is both not rich and not kind then mary is not old and vice versa. Everyone who is both not old and not curious is either rich or not happy and vice versa. Everyone who is either patient or not old is patient and vice versa. If susan is no... | Mary is tall. | neutral | (![X]:((kind(X)<~>~old(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~rich(X)&~kind(X))))<=>(~old(mary)))&
(![X]:((~old(X)&~curious(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~old(X))<=>patient(X)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~gen... | tall(mary) | [] | null | 0 |
Everyone who is tall is not happy or not funny and vice versa.
Everyone who is either not generous or not curious is both not happy and patient and vice versa.
Everyone who is either not creative or not generous is both humble and not quiet.
If someone is both quiet and creative then someone is either not tall or gener... | Alice is not patient. | contradiction | (![X]:(tall(X)<=>(~happy(X)|~funny(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>(~happy(X)&patient(X))))&
(![X]:((~creative(X)<~>~generous(X))=>(humble(X)&~quiet(X))))&
((?[X]:((quiet(X)&creative(X))))<=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:((~wise(X)|~old(X))=>(funny(X)<~>~patient(X))))&
((curious(susan))=>(?[X]:... | ~patient(alice) | [
"p0",
"p1",
"p4",
"p6",
"p9",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6340701419375385967805
% SZS output start Proof for 6340701419375385967805
1. ! [X0] : (tall(X0) <=> (~funny(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> (patient(X0) & ~happy(X0))) [input p1]
5. ! [X0] : ((~old(X0) | ~wise(X0)) => (funny(X0) <~> ~patien... | 0 |
Everyone who is creative or curious is either not old or calm.
Everyone who is generous is either happy or rich and vice versa.
If someone is not happy or not funny then mary is either not curious or rich.
Everyone who is patient or happy is not generous.
Everyone who is both not happy and not wise is not patient and v... | Fred is happy. | entailment | (![X]:((creative(X)|curious(X))=>(~old(X)<~>calm(X))))&
(![X]:(generous(X)<=>(happy(X)<~>rich(X))))&
((?[X]:((~happy(X)|~funny(X))))=>((~curious(mary)<~>rich(mary))))&
(![X]:((patient(X)|happy(X))=>~generous(X)))&
(![X]:((~happy(X)&~wise(X))<=>~patient(X)))&
((~brave(mary))<=>(?[X]:((kind(X)&~happy(X)))))&
((?[X]:((~ki... | happy(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1175301326776878425709882
% SZS output start Proof for 1175301326776878425709882
16. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [input p15]
23. ~happy(fred) [input hypothesis]
59. ! [X0] : ((happy(X0) | (kind(X0) & happy(X0))) & ((~kind(X0) | ~happy(X0)) | ~happy(X0))) [nnf transfo... | 0 |
Everyone who is not quiet or not generous is creative and vice versa.
If someone is either rich or not calm then someone is both brave and patient and vice versa.
If lucy is either creative or not generous then susan is both not brave and creative and vice versa.
Everyone who is not strong is either not curious or not ... | Alice is not brave. | entailment | (![X]:((~quiet(X)|~generous(X))<=>creative(X)))&
((?[X]:((rich(X)<~>~calm(X))))<=>(?[X]:((brave(X)&patient(X)))))&
(((creative(lucy)<~>~generous(lucy)))<=>((~brave(susan)&creative(susan))))&
(![X]:(~strong(X)<=>(~curious(X)<~>~brave(X))))&
((?[X]:((brave(X)|strong(X))))=>((~tall(mary)<~>~kind(mary))))&
((?[X]:((~tall(X... | ~brave(alice) | [
"p0",
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 440178066432298434504588
% SZS output start Proof for 440178066432298434504588
1. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> creative(X0)) [input p0]
8. ! [X0] : (~quiet(X0) <=> ~patient(X0)) [input p7]
16. ! [X0] : ((brave(X0) | wise(X0)) => (~curious(X0) & generous(X0))) [input p15]
23.... | 0 |
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