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 lucy is not old or humble then someone is either patient or kind and vice versa.
Everyone who is both calm and not wise is either generous or not calm and vice versa.
If alice is both not humble and not creative then someone is either not patient or wise and vice versa.
Everyone who is both old and generous is not f... | Paul is humble. | neutral | (((~old(lucy)|humble(lucy)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((calm(X)&~wise(X))<=>(generous(X)<~>~calm(X))))&
(((~humble(alice)&~creative(alice)))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((old(X)&generous(X))=>~funny(X)))&
(![X]:((~brave(X)|~happy(X))=>~brave(X)))&
((?[X]:((~wise(X)|brave(X))))=>(humble(l... | humble(paul) | [] | null | 0 |
Everyone who is not rich is both not kind and not quiet. Everyone who is both humble and not quiet is either not humble or not strong and vice versa. If alice is either humble or not kind then alice is not patient. If someone is either curious or happy then mary is both not strong and kind. Everyone who is either funny... | Susan is generous. | neutral | (![X]:(~rich(X)=>(~kind(X)&~quiet(X))))&
(![X]:((humble(X)&~quiet(X))<=>(~humble(X)<~>~strong(X))))&
(((humble(alice)<~>~kind(alice)))=>(~patient(alice)))&
((?[X]:((curious(X)<~>happy(X))))=>((~strong(mary)&kind(mary))))&
(![X]:((funny(X)<~>wise(X))=>~rich(X)))&
(![X]:(tall(X)<=>(wise(X)<~>~funny(X))))&
(![X]:((brave(X... | generous(susan) | [] | null | 0 |
Everyone who is both creative and not calm is not creative or not happy. Everyone who is either quiet or kind is rich or calm and vice versa. Everyone who is not funny is both not generous and calm and vice versa. If paul is both happy and not wise then someone is wise. Everyone who is not funny or tall is both rich an... | Fred is generous. | neutral | (![X]:((creative(X)&~calm(X))=>(~creative(X)|~happy(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(rich(X)|calm(X))))&
(![X]:(~funny(X)<=>(~generous(X)&calm(X))))&
(((happy(paul)&~wise(paul)))=>(?[X]:(wise(X))))&
(![X]:((~funny(X)|tall(X))=>(rich(X)&~tall(X))))&
(![X]:((calm(X)|tall(X))<=>(curious(X)&old(X))))&
(![X]:((~quiet(X... | generous(fred) | [] | null | 0 |
Everyone who is both patient and quiet is not old or not calm. Everyone who is not happy is either happy or not patient and vice versa. If someone is patient or not funny then someone is not quiet. Everyone who is both not patient and patient is both old and brave and vice versa. If mary is both patient and generous th... | Alice is patient. | contradiction | (![X]:((patient(X)&quiet(X))=>(~old(X)|~calm(X))))&
(![X]:(~happy(X)<=>(happy(X)<~>~patient(X))))&
((?[X]:((patient(X)|~funny(X))))=>(?[X]:(~quiet(X))))&
(![X]:((~patient(X)&patient(X))<=>(old(X)&brave(X))))&
(((patient(mary)&generous(mary)))=>(~rich(lucy)))&
(![X]:((~strong(X)&~old(X))=>(funny(X)&~generous(X))))&
(![X... | patient(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3930163880307364379915676
% SZS output start Proof for 3930163880307364379915676
2. ! [X0] : (~happy(X0) <=> (happy(X0) <~> ~patient(X0))) [input p1]
25. patient(alice) [input hypothesis]
46. ! [X0] : ((~happy(X0) | ((happy(X0) | patient(X0)) & (~patient(X0) | ~happy(X0)))) & (((patient(X... | 0 |
Everyone who is both wise and not creative is patient and vice versa.
If someone is not old then susan is calm or curious and vice versa.
If someone is old then lucy is both not calm and not generous.
Everyone who is either kind or generous is not creative or not calm and vice versa.
Everyone who is either not quiet or... | Lucy is brave. | contradiction | (![X]:((wise(X)&~creative(X))<=>patient(X)))&
((?[X]:(~old(X)))<=>((calm(susan)|curious(susan))))&
((?[X]:(old(X)))=>((~calm(lucy)&~generous(lucy))))&
(![X]:((kind(X)<~>generous(X))<=>(~creative(X)|~calm(X))))&
(![X]:((~quiet(X)<~>old(X))=>~wise(X)))&
(![X]:(~creative(X)<=>(~kind(X)<~>~generous(X))))&
((?[X]:(~strong(X... | brave(lucy) | [
"p3",
"p5",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1716254779448313928258760
% SZS output start Proof for 1716254779448313928258760
4. ! [X0] : ((kind(X0) <~> generous(X0)) <=> (~calm(X0) | ~creative(X0))) [input p3]
6. ! [X0] : (~creative(X0) <=> (~kind(X0) <~> ~generous(X0))) [input p5]
9. ! [X0] : (~patient(X0) <=> (~quiet(X0) | patien... | 0 |
Everyone who is both strong and not tall is not wise or funny.
Everyone who is both not rich and quiet is either kind or not quiet.
Everyone who is not calm or happy is not brave.
Everyone who is either not wise or not tall is not funny and vice versa.
If someone is quiet then paul is not curious.
If john is either tal... | John is kind. | neutral | (![X]:((strong(X)&~tall(X))=>(~wise(X)|funny(X))))&
(![X]:((~rich(X)&quiet(X))=>(kind(X)<~>~quiet(X))))&
(![X]:((~calm(X)|happy(X))=>~brave(X)))&
(![X]:((~wise(X)<~>~tall(X))<=>~funny(X)))&
((?[X]:(quiet(X)))=>(~curious(paul)))&
(((tall(john)<~>funny(john)))=>(?[X]:((~rich(X)&~tall(X)))))&
(![X]:((~old(X)&brave(X))<=>(... | kind(john) | [] | null | 0 |
If mary is strong then fred is both not strong and not curious.
If paul is both not patient and quiet then fred is either rich or not brave.
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or no... | Lucy is old. | neutral | ((strong(mary))=>((~strong(fred)&~curious(fred))))&
(((~patient(paul)&quiet(paul)))=>((rich(fred)<~>~brave(fred))))&
(((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall... | old(lucy) | [] | null | 0 |
Everyone who is not funny is old. If someone is not tall then someone is not calm. If someone is either not strong or calm then john is both old and not happy and vice versa. Everyone who is not kind is either patient or not funny. Everyone who is both not brave and tall is either not brave or quiet and vice versa. Eve... | Paul is not generous. | contradiction | (![X]:(~funny(X)=>old(X)))&
((?[X]:(~tall(X)))=>(?[X]:(~calm(X))))&
((?[X]:((~strong(X)<~>calm(X))))<=>((old(john)&~happy(john))))&
(![X]:(~kind(X)=>(patient(X)<~>~funny(X))))&
(![X]:((~brave(X)&tall(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:(~calm(X)=>~creative(X)))&
(![X]:((~calm(X)|happy(X))=>(~kind(X)&rich(X))))&
(((ki... | ~generous(paul) | [
"p0",
"p3",
"p5",
"p6",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7682578896185971531588851
% SZS output start Proof for 7682578896185971531588851
1. ! [X0] : (~funny(X0) => old(X0)) [input p0]
4. ! [X0] : (~kind(X0) => (patient(X0) <~> ~funny(X0))) [input p3]
6. ! [X0] : (~calm(X0) => ~creative(X0)) [input p5]
7. ! [X0] : ((happy(X0) | ~calm(X0)) => (r... | 0 |
If paul is either not tall or not funny then someone is either not tall or funny and vice versa.
Everyone who is not kind is humble or not generous.
If someone is not wise or not old then someone is not kind.
If someone is curious or not quiet then someone is creative or happy.
Everyone who is not wise or not brave is ... | Lucy is funny. | entailment | (((~tall(paul)<~>~funny(paul)))<=>(?[X]:((~tall(X)<~>funny(X)))))&
(![X]:(~kind(X)=>(humble(X)|~generous(X))))&
((?[X]:((~wise(X)|~old(X))))=>(?[X]:(~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((~wise(X)|~brave(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~kind(X)<~>strong(X))<=>(q... | funny(lucy) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4266618751438231387903008
% SZS output start Proof for 4266618751438231387903008
11. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p10]
17. kind(lucy) [input p16]
25. ~funny(lucy) [input hypothesis]
63. ! [X0] : (((~creative(X0) & ~kind(X0)) | (funny(X0) & qu... | 0 |
Everyone who is either not kind or tall is not wise. If paul is either not tall or happy then someone is not tall or humble and vice versa. Everyone who is rich is either calm or wise. If someone is creative or not old then susan is either not funny or not calm and vice versa. Everyone who is not rich or humble is stro... | Fred is not old. | contradiction | (![X]:((~kind(X)<~>tall(X))=>~wise(X)))&
(((~tall(paul)<~>happy(paul)))<=>(?[X]:((~tall(X)|humble(X)))))&
(![X]:(rich(X)=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)|~old(X))))<=>((~funny(susan)<~>~calm(susan))))&
(![X]:((~rich(X)|humble(X))=>(strong(X)|humble(X))))&
(![X]:((funny(X)&~curious(X))<=>curious(X)))&
((?[X]... | ~old(fred) | [
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7988906670412497604613083
% SZS output start Proof for 7988906670412497604613083
6. ! [X0] : ((~curious(X0) & funny(X0)) <=> curious(X0)) [input p5]
8. ? [X0] : ~old(X0) => (rich(john) & strong(john)) [input p7]
10. ! [X0] : ((~curious(X0) | strong(X0)) <=> (generous(X0) & ~rich(X0))) [in... | 0 |
Everyone who is both not kind and not tall is not happy or calm.
If lucy is rich or humble then lucy is not rich or not patient.
Everyone who is not wise or not happy is not curious or rich.
Everyone who is not strong is funny or brave and vice versa.
Everyone who is not tall or old is not wise and vice versa.
If alice... | Lucy is brave. | entailment | (![X]:((~kind(X)&~tall(X))=>(~happy(X)|calm(X))))&
(((rich(lucy)|humble(lucy)))=>((~rich(lucy)|~patient(lucy))))&
(![X]:((~wise(X)|~happy(X))=>(~curious(X)|rich(X))))&
(![X]:(~strong(X)<=>(funny(X)|brave(X))))&
(![X]:((~tall(X)|old(X))<=>~wise(X)))&
(((creative(alice)&tall(alice)))<=>(?[X]:((funny(X)|~generous(X)))))&
... | brave(lucy) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 843633693949904260312003
% SZS output start Proof for 843633693949904260312003
3. ! [X0] : ((~happy(X0) | ~wise(X0)) => (rich(X0) | ~curious(X0))) [input p2]
5. ! [X0] : ((old(X0) | ~tall(X0)) <=> ~wise(X0)) [input p4]
6. (tall(alice) & creative(alice)) <=> ? [X0] : (~generous(X0) | funny... | 0 |
Everyone who is either not funny or happy is curious or not humble.
Everyone who is generous is both not generous and brave and vice versa.
Everyone who is not tall or quiet is not rich.
Everyone who is kind or not humble is both patient and not old and vice versa.
Everyone who is brave or calm is both not generous and... | Mary is not brave. | entailment | (![X]:((~funny(X)<~>happy(X))=>(curious(X)|~humble(X))))&
(![X]:(generous(X)<=>(~generous(X)&brave(X))))&
(![X]:((~tall(X)|quiet(X))=>~rich(X)))&
(![X]:((kind(X)|~humble(X))<=>(patient(X)&~old(X))))&
(![X]:((brave(X)|calm(X))=>(~generous(X)&curious(X))))&
(![X]:((quiet(X)<~>~strong(X))<=>(funny(X)|wise(X))))&
(((~humbl... | ~brave(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1612662556737184468576710
% SZS output start Proof for 1612662556737184468576710
2. ! [X0] : (generous(X0) <=> (brave(X0) & ~generous(X0))) [input p1]
22. brave(mary) [input hypothesis]
36. ! [X0] : ((generous(X0) | (~brave(X0) | generous(X0))) & ((brave(X0) & ~generous(X0)) | ~generous(X... | 0 |
Everyone who is either not old or calm is either not patient or not strong and vice versa. Everyone who is tall or calm is both patient and calm. If someone is not curious or tall then someone is kind or quiet. Everyone who is tall or not rich is both not old and not curious. Everyone who is either brave or not patient... | Lucy is not generous. | entailment | (![X]:((~old(X)<~>calm(X))<=>(~patient(X)<~>~strong(X))))&
(![X]:((tall(X)|calm(X))=>(patient(X)&calm(X))))&
((?[X]:((~curious(X)|tall(X))))=>(?[X]:((kind(X)|quiet(X)))))&
(![X]:((tall(X)|~rich(X))=>(~old(X)&~curious(X))))&
(![X]:((brave(X)<~>~patient(X))<=>(~old(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(~creative(X)|... | ~generous(lucy) | [
"p3",
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2242357190541699347941947
% SZS output start Proof for 2242357190541699347941947
4. ! [X0] : ((~rich(X0) | tall(X0)) => (~curious(X0) & ~old(X0))) [input p3]
6. ! [X0] : (~generous(X0) <=> (wise(X0) | ~creative(X0))) [input p5]
7. ? [X0] : (~brave(X0) | generous(X0)) => ~rich(lucy) [input... | 0 |
If someone is not kind then someone is both rich and strong. Everyone who is both not funny and curious is old and vice versa. If someone is either not patient or not brave then paul is not generous or not creative and vice versa. Everyone who is both humble and tall is not kind and vice versa. If someone is either not... | Paul is generous. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((rich(X)&strong(X)))))&
(![X]:((~funny(X)&curious(X))<=>old(X)))&
((?[X]:((~patient(X)<~>~brave(X))))<=>((~generous(paul)|~creative(paul))))&
(![X]:((humble(X)&tall(X))<=>~kind(X)))&
((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((~tall(X)|creative(X)))))&
(((~humble(susan)|happy(susan)))<=>((... | generous(paul) | [] | null | 0 |
Everyone who is both creative and not rich is funny or not curious. If fred is brave or not brave then john is both funny and old. Everyone who is wise or not generous is either not curious or not quiet and vice versa. Everyone who is not old is kind. Everyone who is not calm is not wise or quiet and vice versa. Everyo... | Paul is curious. | contradiction | (![X]:((creative(X)&~rich(X))=>(funny(X)|~curious(X))))&
(((brave(fred)|~brave(fred)))=>((funny(john)&old(john))))&
(![X]:((wise(X)|~generous(X))<=>(~curious(X)<~>~quiet(X))))&
(![X]:(~old(X)=>kind(X)))&
(![X]:(~calm(X)<=>(~wise(X)|quiet(X))))&
(![X]:(~kind(X)<=>(wise(X)&~rich(X))))&
(![X]:((calm(X)<~>curious(X))<=>(~s... | curious(paul) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5098448377813150259944969
% SZS output start Proof for 5098448377813150259944969
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~curious(X0) <~> ~quiet(X0))) [input p2]
4. ! [X0] : (~old(X0) => kind(X0)) [input p3]
5. ! [X0] : (~calm(X0) <=> (quiet(X0) | ~wise(X0))) [input p4]
6. ! [X0] : (... | 0 |
If paul is not kind then mary is both humble and funny and vice versa.
If someone is creative or not funny then fred is both patient and quiet and vice versa.
Everyone who is rich or not happy is either not calm or not tall and vice versa.
If someone is funny then someone is happy or wise.
Everyone who is kind is both ... | Paul is calm. | entailment | ((~kind(paul))<=>((humble(mary)&funny(mary))))&
((?[X]:((creative(X)|~funny(X))))<=>((patient(fred)&quiet(fred))))&
(![X]:((rich(X)|~happy(X))<=>(~calm(X)<~>~tall(X))))&
((?[X]:(funny(X)))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:(kind(X)=>(~brave(X)&~creative(X))))&
(![X]:((~brave(X)<~>happy(X))=>(~brave(X)<~>creative(X))... | calm(paul) | [
"p2",
"p4",
"p6",
"p11",
"p12",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8962859970754757428917169
% SZS output start Proof for 8962859970754757428917169
3. ! [X0] : ((~happy(X0) | rich(X0)) <=> (~calm(X0) <~> ~tall(X0))) [input p2]
5. ! [X0] : (kind(X0) => (~creative(X0) & ~brave(X0))) [input p4]
7. ! [X0] : ((~rich(X0) <~> rich(X0)) => (curious(X0) & quiet(X... | 0 |
Everyone who is either creative or wise is both not happy and creative and vice versa.
Everyone who is both not humble and funny is both not strong and kind.
If alice is calm then someone is both calm and generous.
If alice is humble or happy then someone is both humble and not old.
Everyone who is both not wise and no... | Mary is not funny. | neutral | (![X]:((creative(X)<~>wise(X))<=>(~happy(X)&creative(X))))&
(![X]:((~humble(X)&funny(X))=>(~strong(X)&kind(X))))&
((calm(alice))=>(?[X]:((calm(X)&generous(X)))))&
(((humble(alice)|happy(alice)))=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((~wise(X)&~humble(X))=>(rich(X)<~>strong(X))))&
(![X]:((~happy(X)&wise(X))<=>(~strong(... | ~funny(mary) | [] | null | 0 |
If lucy is quiet or patient then someone is both not wise and calm and vice versa. Everyone who is strong or quiet is either not calm or brave. Everyone who is either wise or patient is not creative. If paul is both not funny and strong then john is not kind. Everyone who is funny or humble is both kind and quiet and v... | John is kind. | neutral | (((quiet(lucy)|patient(lucy)))<=>(?[X]:((~wise(X)&calm(X)))))&
(![X]:((strong(X)|quiet(X))=>(~calm(X)<~>brave(X))))&
(![X]:((wise(X)<~>patient(X))=>~creative(X)))&
(((~funny(paul)&strong(paul)))=>(~kind(john)))&
(![X]:((funny(X)|humble(X))<=>(kind(X)&quiet(X))))&
(((old(alice)<~>wise(alice)))=>((brave(alice)|~kind(alic... | kind(john) | [] | null | 0 |
If someone is tall then someone is either not tall or not humble.
If fred is both calm and kind then alice is either not tall or not brave and vice versa.
If someone is kind then susan is both not quiet and not calm and vice versa.
If someone is not humble then alice is not patient or not quiet and vice versa.
If someo... | Mary is not patient. | contradiction | ((?[X]:(tall(X)))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(((calm(fred)&kind(fred)))<=>((~tall(alice)<~>~brave(alice))))&
((?[X]:(kind(X)))<=>((~quiet(susan)&~calm(susan))))&
((?[X]:(~humble(X)))<=>((~patient(alice)|~quiet(alice))))&
((?[X]:((rich(X)|~happy(X))))=>(?[X]:(happy(X))))&
(((generous(john)<~>~brave(john)))=>(?[... | ~patient(mary) | [
"p6",
"p9",
"p11",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 807718733947508805453286
% SZS output start Proof for 807718733947508805453286
7. ? [X0] : (patient(X0) <~> rich(X0)) <=> (old(lucy) & patient(lucy)) [input p6]
10. ! [X0] : ((creative(X0) <~> happy(X0)) <=> patient(X0)) [input p9]
12. ! [X0] : ((patient(X0) & ~generous(X0)) => ~creative(... | 0 |
If susan is either not generous or happy then someone is either happy or patient.
If someone is either not tall or not strong then someone is both strong and not quiet and vice versa.
Everyone who is either not wise or not generous is kind or not generous.
If someone is either not happy or brave then someone is not gen... | Alice is old. | contradiction | (((~generous(susan)<~>happy(susan)))=>(?[X]:((happy(X)<~>patient(X)))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~wise(X)<~>~generous(X))=>(kind(X)|~generous(X))))&
((?[X]:((~happy(X)<~>brave(X))))=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)<~>~old(X))<=>happy(X)))&
(![X]:((curious... | old(alice) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8450512886364480611732272
% SZS output start Proof for 8450512886364480611732272
16. ? [X0] : (brave(X0) | quiet(X0)) <=> (kind(alice) & ~old(alice)) [input p15]
19. ? [X0] : (generous(X0) & quiet(X0)) [input p18]
25. old(alice) [input hypothesis]
73. (? [X0] : (brave(X0) | quiet(X0)) | (... | 0 |
If someone is not funny or not tall then john is both calm and not happy and vice versa.
If someone is both humble and not wise then lucy is both rich and not calm.
Everyone who is both not tall and happy is not quiet and vice versa.
If susan is both not old and creative then john is humble or not old and vice versa.
E... | Lucy is not happy. | entailment | ((?[X]:((~funny(X)|~tall(X))))<=>((calm(john)&~happy(john))))&
((?[X]:((humble(X)&~wise(X))))=>((rich(lucy)&~calm(lucy))))&
(![X]:((~tall(X)&happy(X))<=>~quiet(X)))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>(wise(X)|~patient(X))))&
(![X]:((~creative(X)|~humble(X))=... | ~happy(lucy) | [
"p1",
"p2",
"p5",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4417366441370614778589963
% SZS output start Proof for 4417366441370614778589963
2. ? [X0] : (~wise(X0) & humble(X0)) => (~calm(lucy) & rich(lucy)) [input p1]
3. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p2]
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~patient(X0) & humb... | 0 |
If someone is both strong and generous then someone is either kind or not brave. If fred is wise or brave then someone is not curious or patient and vice versa. Everyone who is both not humble and not brave is not kind. Everyone who is both not wise and old is either not old or happy and vice versa. If someone is eithe... | Mary is not generous. | neutral | ((?[X]:((strong(X)&generous(X))))=>(?[X]:((kind(X)<~>~brave(X)))))&
(((wise(fred)|brave(fred)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((~humble(X)&~brave(X))=>~kind(X)))&
(![X]:((~wise(X)&old(X))<=>(~old(X)<~>happy(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>(kind(lucy)))&
(![X]:((creative(X)|~old(X))<=>(tall(X)&~... | ~generous(mary) | [] | null | 0 |
If someone is both rich and creative then someone is both not funny and not strong.
Everyone who is either not calm or not wise is either happy or not happy and vice versa.
Everyone who is either generous or not old is not patient or not kind and vice versa.
If lucy is either curious or brave then paul is both rich and... | Lucy is generous. | contradiction | ((?[X]:((rich(X)&creative(X))))=>(?[X]:((~funny(X)&~strong(X)))))&
(![X]:((~calm(X)<~>~wise(X))<=>(happy(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~patient(X)|~kind(X))))&
(((curious(lucy)<~>brave(lucy)))<=>((rich(paul)&happy(paul))))&
((?[X]:((~strong(X)&generous(X))))=>((brave(john)<~>~generous(john))))&
(... | generous(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p10",
"p13",
"p16",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8013464710296431124144282
% SZS output start Proof for 8013464710296431124144282
1. ? [X0] : (creative(X0) & rich(X0)) => ? [X0] : (~strong(X0) & ~funny(X0)) [input p0]
3. ! [X0] : ((generous(X0) <~> ~old(X0)) <=> (~kind(X0) | ~patient(X0))) [input p2]
7. ! [X0] : (~wise(X0) => (~old(X0) ... | 0 |
Everyone who is either not happy or not rich is either not patient or generous.
If someone is either humble or strong then someone is not creative.
Everyone who is not quiet or not wise is both wise and not brave and vice versa.
Everyone who is not happy or rich is both happy and not strong and vice versa.
Everyone who... | Mary is not creative. | neutral | (![X]:((~happy(X)<~>~rich(X))=>(~patient(X)<~>generous(X))))&
((?[X]:((humble(X)<~>strong(X))))=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(wise(X)&~brave(X))))&
(![X]:((~happy(X)|rich(X))<=>(happy(X)&~strong(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~calm(X)|~creative(X))))&
(![X]:((calm(X)&patient(X))<=>~br... | ~creative(mary) | [] | null | 0 |
If someone is both not happy and creative then someone is either funny or not curious and vice versa.
Everyone who is either kind or not calm is either brave or not calm.
Everyone who is happy is not creative and vice versa.
Everyone who is not tall or wise is both funny and not brave.
Everyone who is not creative or n... | John is old. | contradiction | ((?[X]:((~happy(X)&creative(X))))<=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:((kind(X)<~>~calm(X))=>(brave(X)<~>~calm(X))))&
(![X]:(happy(X)<=>~creative(X)))&
(![X]:((~tall(X)|wise(X))=>(funny(X)&~brave(X))))&
(![X]:((~creative(X)|~rich(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((rich(X)<~>~brave(X))<=>(~wise(X)<~>tall(X))... | old(john) | [
"p2",
"p4",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5418272863615543295308708
% SZS output start Proof for 5418272863615543295308708
3. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (quiet(X0) <~> happy(X0))) [input p4]
15. ! [X0] : (old(X0) <=> (happy(X0) | kind(X0))) [input p14]
21. quiet(... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is not funny is either strong or not strong.
If someone is both happy and patient then someone is not kind or curious and vice versa.
Everyone who is not strong is not humble or not brave.
If someone is either n... | Fred is generous. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~strong(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~pati... | generous(fred) | [
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 298124299479075745043992
% SZS output start Proof for 298124299479075745043992
8. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p7]
9. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p8]
10. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (generous(X0) <~> ~happy(X0))) [... | 0 |
Everyone who is generous or not kind is not brave or creative.
If someone is either not funny or wise then lucy is both not patient and wise and vice versa.
Everyone who is either brave or not curious is calm or not wise.
Everyone who is creative is calm or not strong and vice versa.
Everyone who is not creative or not... | Fred is not curious. | entailment | (![X]:((generous(X)|~kind(X))=>(~brave(X)|creative(X))))&
((?[X]:((~funny(X)<~>wise(X))))<=>((~patient(lucy)&wise(lucy))))&
(![X]:((brave(X)<~>~curious(X))=>(calm(X)|~wise(X))))&
(![X]:(creative(X)<=>(calm(X)|~strong(X))))&
(![X]:((~creative(X)|~funny(X))<=>brave(X)))&
((brave(fred))<=>(?[X]:(funny(X))))&
(![X]:((~calm... | ~curious(fred) | [
"p9",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4945531215885903939913975
% SZS output start Proof for 4945531215885903939913975
10. ~funny(fred) <=> ? [X0] : (~old(X0) | creative(X0)) [input p9]
14. ! [X0] : ((~curious(X0) <~> generous(X0)) => (funny(X0) <~> ~curious(X0))) [input p13]
19. generous(fred) [input p18]
22. ? [X0] : (humbl... | 0 |
If fred is calm or not creative then alice is not patient and vice versa.
If someone is either not happy or tall then alice is both humble and not wise and vice versa.
If alice is not happy then someone is humble.
Everyone who is brave is not generous and vice versa.
If fred is humble or not kind then paul is both funn... | Fred is calm. | neutral | (((calm(fred)|~creative(fred)))<=>(~patient(alice)))&
((?[X]:((~happy(X)<~>tall(X))))<=>((humble(alice)&~wise(alice))))&
((~happy(alice))=>(?[X]:(humble(X))))&
(![X]:(brave(X)<=>~generous(X)))&
(((humble(fred)|~kind(fred)))<=>((funny(paul)&happy(paul))))&
(((~calm(alice)&~strong(alice)))=>((creative(john)|~calm(john)))... | calm(fred) | [] | null | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then someone is curious and vice versa.
Everyone who is both curious and brave is not creative or not brave.
Everyone who is curious or not strong is kind or curious and vice versa.
If someone ... | Susan is funny. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(curious(X))))&
(![X]:((curious(X)&brave(X))=>(~creative(X)|~brave(X))))&
(![X]:((curious(X)|~strong(X))<=>(kind(X)|curious(X))))&
((?[X]:((rich(X)<~>quiet(X))))=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(paul)|patient(pa... | funny(susan) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2479307377279122139857453
% SZS output start Proof for 2479307377279122139857453
10. ! [X0] : ((~generous(X0) | ~funny(X0)) => (wise(X0) & ~quiet(X0))) [input p9]
21. quiet(susan) & creative(susan) [input p20]
25. ~funny(susan) [input hypothesis]
35. ! [X0] : ((wise(X0) & ~quiet(X0)) | (g... | 0 |
If alice is strong then someone is both wise and quiet. If john is creative then someone is both wise and quiet and vice versa. If someone is both happy and old then someone is wise and vice versa. Everyone who is generous is either old or not calm and vice versa. Everyone who is not old is both quiet and strong. If so... | Paul is creative. | contradiction | ((strong(alice))=>(?[X]:((wise(X)&quiet(X)))))&
((creative(john))<=>(?[X]:((wise(X)&quiet(X)))))&
((?[X]:((happy(X)&old(X))))<=>(?[X]:(wise(X))))&
(![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X)... | creative(paul) | [
"p3",
"p4",
"p6",
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7925125231002876110840878
% SZS output start Proof for 7925125231002876110840878
4. ! [X0] : (generous(X0) <=> (old(X0) <~> ~calm(X0))) [input p3]
5. ! [X0] : (~old(X0) => (strong(X0) & quiet(X0))) [input p4]
7. ! [X0] : ((~happy(X0) | patient(X0)) <=> calm(X0)) [input p6]
9. ! [X0] : ((c... | 0 |
If someone is kind or not wise then someone is not strong and vice versa. If fred is either not old or not rich then someone is both tall and old. If someone is either rich or tall then alice is both strong and humble. Everyone who is not generous or curious is both brave and not strong and vice versa. If someone is ha... | Susan is not wise. | entailment | ((?[X]:((kind(X)|~wise(X))))<=>(?[X]:(~strong(X))))&
(((~old(fred)<~>~rich(fred)))=>(?[X]:((tall(X)&old(X)))))&
((?[X]:((rich(X)<~>tall(X))))=>((strong(alice)&humble(alice))))&
(![X]:((~generous(X)|curious(X))<=>(brave(X)&~strong(X))))&
((?[X]:(happy(X)))<=>((~tall(john)|brave(john))))&
((?[X]:((~generous(X)|~patient(X... | ~wise(susan) | [
"p3",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1398593309990148049283440
% SZS output start Proof for 1398593309990148049283440
4. ! [X0] : ((curious(X0) | ~generous(X0)) <=> (~strong(X0) & brave(X0))) [input p3]
13. ! [X0] : ((~wise(X0) & ~happy(X0)) <=> (generous(X0) <~> ~strong(X0))) [input p12]
17. ~generous(susan) [input p16]
25.... | 0 |
Everyone who is calm is both quiet and not generous.
If fred is not humble or old then someone is happy.
Everyone who is calm is calm or not wise.
Everyone who is not creative or not calm is either happy or not patient.
If alice is both not wise and strong then someone is both not rich and not patient.
If mary is not h... | Paul is not funny. | entailment | (![X]:(calm(X)=>(quiet(X)&~generous(X))))&
(((~humble(fred)|old(fred)))=>(?[X]:(happy(X))))&
(![X]:(calm(X)=>(calm(X)|~wise(X))))&
(![X]:((~creative(X)|~calm(X))=>(happy(X)<~>~patient(X))))&
(((~wise(alice)&strong(alice)))=>(?[X]:((~rich(X)&~patient(X)))))&
((~happy(mary))=>(~curious(susan)))&
(![X]:((brave(X)<~>~brave... | ~funny(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 726709647244404963951803
% SZS output start Proof for 726709647244404963951803
7. ! [X0] : ((brave(X0) <~> ~brave(X0)) => ~funny(X0)) [input p6]
24. funny(paul) [input hypothesis]
35. ! [X0] : (~funny(X0) | (brave(X0) <=> ~brave(X0))) [ennf transformation 7]
44. ! [X0] : (~funny(X0) | ((b... | 0 |
If paul is happy then susan is funny or not old. If someone is either not generous or generous then fred is not strong or curious and vice versa. Everyone who is not curious or kind is patient. Everyone who is either not kind or calm is either not patient or not humble and vice versa. If lucy is either old or calm then... | John is brave. | entailment | ((happy(paul))=>((funny(susan)|~old(susan))))&
((?[X]:((~generous(X)<~>generous(X))))<=>((~strong(fred)|curious(fred))))&
(![X]:((~curious(X)|kind(X))=>patient(X)))&
(![X]:((~kind(X)<~>calm(X))<=>(~patient(X)<~>~humble(X))))&
(((old(lucy)<~>calm(lucy)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(~wise(X)<=>~curious(X)))&... | brave(john) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1633893417105252386913522
% SZS output start Proof for 1633893417105252386913522
13. ! [X0] : ((kind(X0) | ~humble(X0)) <=> (rich(X0) & brave(X0))) [input p12]
21. kind(john) [input p20]
24. ~brave(john) [input hypothesis]
65. ! [X0] : (((kind(X0) | ~humble(X0)) | (~rich(X0) | ~brave(X0))... | 0 |
If fred is old or quiet then someone is either not creative or not old and vice versa.
If paul is either rich or not curious then someone is both creative and not wise.
If john is not old or not creative then mary is not funny or happy and vice versa.
Everyone who is rich or curious is either not wise or creative and v... | Lucy is not creative. | entailment | (((old(fred)|quiet(fred)))<=>(?[X]:((~creative(X)<~>~old(X)))))&
(((rich(paul)<~>~curious(paul)))=>(?[X]:((creative(X)&~wise(X)))))&
(((~old(john)|~creative(john)))<=>((~funny(mary)|happy(mary))))&
(![X]:((rich(X)|curious(X))<=>(~wise(X)<~>creative(X))))&
(![X]:((~brave(X)|tall(X))=>(happy(X)&~happy(X))))&
(![X]:((stro... | ~creative(lucy) | [
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4918995491251250789763121
% SZS output start Proof for 4918995491251250789763121
12. ? [X0] : (curious(X0) | ~humble(X0)) => ~creative(lucy) [input p11]
13. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (~curious(X0) | ~funny(X0))) [input p12]
16. ? [X0] : ~funny(X0) [input p15]
23. creative(... | 0 |
If someone is either not calm or creative then alice is both quiet and tall. Everyone who is not quiet or not rich is not calm. If alice is either quiet or not tall then john is either not old or creative. If someone is curious then mary is happy or patient and vice versa. Everyone who is both not calm and kind is not ... | John is old. | entailment | ((?[X]:((~calm(X)<~>creative(X))))=>((quiet(alice)&tall(alice))))&
(![X]:((~quiet(X)|~rich(X))=>~calm(X)))&
(((quiet(alice)<~>~tall(alice)))=>((~old(john)<~>creative(john))))&
((?[X]:(curious(X)))<=>((happy(mary)|patient(mary))))&
(![X]:((~calm(X)&kind(X))<=>(~generous(X)|curious(X))))&
(![X]:(calm(X)=>(~rich(X)<~>~kin... | old(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9175320699576257583757910
% SZS output start Proof for 9175320699576257583757910
2. ! [X0] : ((~rich(X0) | ~quiet(X0)) => ~calm(X0)) [input p1]
3. (quiet(alice) <~> ~tall(alice)) => (~old(john) <~> creative(john)) [input p2]
5. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (curious(X0) | ~generous... | 0 |
If someone is rich or patient then john is both patient and not curious and vice versa.
If paul is both not strong and calm then someone is strong or rich.
Everyone who is not rich or old is not old or not rich and vice versa.
Everyone who is happy or funny is both happy and wise and vice versa.
If fred is curious or t... | Susan is not curious. | contradiction | ((?[X]:((rich(X)|patient(X))))<=>((patient(john)&~curious(john))))&
(((~strong(paul)&calm(paul)))=>(?[X]:((strong(X)|rich(X)))))&
(![X]:((~rich(X)|old(X))<=>(~old(X)|~rich(X))))&
(![X]:((happy(X)|funny(X))<=>(happy(X)&wise(X))))&
(((curious(fred)|tall(fred)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(~tall(X)|generous... | ~curious(susan) | [
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 748825239647642166367449
% SZS output start Proof for 748825239647642166367449
7. ! [X0] : ((~quiet(X0) | ~humble(X0)) => ~calm(X0)) [input p6]
11. ? [X0] : (patient(X0) | humble(X0)) => curious(susan) [input p10]
19. ~tall(alice) & calm(alice) [input p18]
23. ~curious(susan) [input hypot... | 0 |
Everyone who is not quiet is both old and calm and vice versa. Everyone who is either patient or curious is either wise or strong and vice versa. Everyone who is kind is patient and vice versa. Everyone who is old is not old or old. If alice is either not old or rich then alice is either not humble or not patient and v... | Mary is curious. | contradiction | (![X]:(~quiet(X)<=>(old(X)&calm(X))))&
(![X]:((patient(X)<~>curious(X))<=>(wise(X)<~>strong(X))))&
(![X]:(kind(X)<=>patient(X)))&
(![X]:(old(X)=>(~old(X)|old(X))))&
(((~old(alice)<~>rich(alice)))<=>((~humble(alice)<~>~patient(alice))))&
((?[X]:((wise(X)|~tall(X))))=>(?[X]:(tall(X))))&
(![X]:((wise(X)&~patient(X))<=>~pa... | curious(mary) | [
"p1",
"p2",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 281171422033906419424105
% SZS output start Proof for 281171422033906419424105
2. ! [X0] : ((patient(X0) <~> curious(X0)) <=> (wise(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> patient(X0)) [input p2]
7. ! [X0] : ((~patient(X0) & wise(X0)) <=> ~patient(X0)) [input p6]
8. ! [X... | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is not strong.
If someone is both not humble and tall then someone is both not old and patient.
If mary is both not funny and old then someone is either not funny or humble.
Everyone who is not brave is not creative o... | Paul is patient. | entailment | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>~strong(X)))&
((?[X]:((~humble(X)&tall(X))))=>(?[X]:((~old(X)&patient(X)))))&
(((~funny(mary)&old(mary)))=>(?[X]:((~funny(X)<~>humble(X)))))&
(![X]:(~brave(X)=>(~creative(X)|~calm(X))))&
(![X]:((~humble(X)<~>~calm(X))<=>~funny(X)))&
(![X]:((~patie... | patient(paul) | [
"p0",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2262113668050139203215699
% SZS output start Proof for 2262113668050139203215699
1. ! [X0] : ((~happy(X0) | strong(X0)) <=> patient(X0)) [input p0]
11. ! [X0] : (happy(X0) => ~calm(X0)) [input p10]
23. ~curious(paul) & calm(paul) [input p22]
24. ~patient(paul) [input hypothesis]
39. ! [X0... | 0 |
If someone is not curious then alice is patient and vice versa.
If someone is old or not happy then alice is not creative or wise.
If someone is both not generous and creative then someone is funny or not rich and vice versa.
Everyone who is not rich or not humble is either generous or not wise and vice versa.
If alice... | Alice is funny. | contradiction | ((?[X]:(~curious(X)))<=>(patient(alice)))&
((?[X]:((old(X)|~happy(X))))=>((~creative(alice)|wise(alice))))&
((?[X]:((~generous(X)&creative(X))))<=>(?[X]:((funny(X)|~rich(X)))))&
(![X]:((~rich(X)|~humble(X))<=>(generous(X)<~>~wise(X))))&
(((creative(alice)<~>~patient(alice)))<=>(?[X]:((creative(X)|rich(X)))))&
((?[X]:((... | funny(alice) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8063450355817625322962265
% SZS output start Proof for 8063450355817625322962265
1. ? [X0] : ~curious(X0) <=> patient(alice) [input p0]
2. ? [X0] : (~happy(X0) | old(X0)) => (wise(alice) | ~creative(alice)) [input p1]
3. ? [X0] : (creative(X0) & ~generous(X0)) <=> ? [X0] : (~rich(X0) | fu... | 0 |
Everyone who is either generous or wise is both not creative and calm. Everyone who is funny is both humble and not humble and vice versa. If john is not happy or patient then mary is not creative and vice versa. If mary is both not brave and not kind then someone is rich or not strong and vice versa. If someone is ric... | Mary is humble. | entailment | (![X]:((generous(X)<~>wise(X))=>(~creative(X)&calm(X))))&
(![X]:(funny(X)<=>(humble(X)&~humble(X))))&
(((~happy(john)|patient(john)))<=>(~creative(mary)))&
(((~brave(mary)&~kind(mary)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((rich(X)|~strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((patient(X)|generous(X))=>creative(X))... | humble(mary) | [
"p1",
"p3",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8511565777502327606189612
% SZS output start Proof for 8511565777502327606189612
2. ! [X0] : (funny(X0) <=> (~humble(X0) & humble(X0))) [input p1]
4. (~kind(mary) & ~brave(mary)) <=> ? [X0] : (~strong(X0) | rich(X0)) [input p3]
5. ? [X0] : (~strong(X0) | rich(X0)) <=> ? [X0] : ~humble(X0)... | 0 |
Everyone who is tall is not calm.
Everyone who is calm is either calm or humble and vice versa.
If someone is not quiet then fred is wise or not calm and vice versa.
If someone is both kind and not rich then someone is either not funny or not rich.
If fred is both calm and wise then someone is not creative or not quiet... | Lucy is not creative. | neutral | (![X]:(tall(X)=>~calm(X)))&
(![X]:(calm(X)<=>(calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))<=>((wise(fred)|~calm(fred))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(((calm(fred)&wise(fred)))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:((brave(X)|~wise(X))<=>curious(X)))&
(![X]:((rich(X)<~>~kind(X))=... | ~creative(lucy) | [] | null | 0 |
Everyone who is either old or curious is old or rich and vice versa.
Everyone who is not creative or not curious is either not tall or tall.
If someone is patient then mary is happy or rich.
If someone is not wise then fred is both funny and not tall and vice versa.
If someone is not patient then susan is quiet or not ... | Fred is brave. | neutral | (![X]:((old(X)<~>curious(X))<=>(old(X)|rich(X))))&
(![X]:((~creative(X)|~curious(X))=>(~tall(X)<~>tall(X))))&
((?[X]:(patient(X)))=>((happy(mary)|rich(mary))))&
((?[X]:(~wise(X)))<=>((funny(fred)&~tall(fred))))&
((?[X]:(~patient(X)))<=>((quiet(susan)|~funny(susan))))&
(![X]:(curious(X)<=>(~tall(X)|~happy(X))))&
(((~qui... | brave(fred) | [] | null | 0 |
Everyone who is either curious or humble is either patient or not kind. If someone is funny or not tall then someone is both happy and not happy. Everyone who is either tall or not calm is not calm or strong. Everyone who is both patient and brave is either curious or rich and vice versa. Everyone who is either brave o... | Mary is funny. | contradiction | (![X]:((curious(X)<~>humble(X))=>(patient(X)<~>~kind(X))))&
((?[X]:((funny(X)|~tall(X))))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((tall(X)<~>~calm(X))=>(~calm(X)|strong(X))))&
(![X]:((patient(X)&brave(X))<=>(curious(X)<~>rich(X))))&
(![X]:((brave(X)<~>old(X))<=>(~happy(X)<~>~funny(X))))&
((kind(fred))<=>(?[X]:(~generou... | funny(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3436525812405610097788916
% SZS output start Proof for 3436525812405610097788916
2. ? [X0] : (~tall(X0) | funny(X0)) => ? [X0] : (~happy(X0) & happy(X0)) [input p1]
20. funny(mary) [input hypothesis]
21. ? [X0] : (~tall(X0) | funny(X0)) => ? [X1] : (~happy(X1) & happy(X1)) [rectify 2]
24.... | 0 |
If paul is generous or creative then lucy is funny or old.
Everyone who is either kind or brave is calm.
Everyone who is either not calm or happy is both brave and humble.
If fred is either wise or strong then paul is not strong and vice versa.
Everyone who is not tall or not happy is both brave and kind.
Everyone who ... | Alice is not old. | contradiction | (((generous(paul)|creative(paul)))=>((funny(lucy)|old(lucy))))&
(![X]:((kind(X)<~>brave(X))=>calm(X)))&
(![X]:((~calm(X)<~>happy(X))=>(brave(X)&humble(X))))&
(((wise(fred)<~>strong(fred)))<=>(~strong(paul)))&
(![X]:((~tall(X)|~happy(X))=>(brave(X)&kind(X))))&
(![X]:((strong(X)<~>funny(X))=>(~happy(X)&curious(X))))&
((~... | ~old(alice) | [
"p1",
"p2",
"p4",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7368472433102400826407876
% SZS output start Proof for 7368472433102400826407876
2. ! [X0] : ((kind(X0) <~> brave(X0)) => calm(X0)) [input p1]
3. ! [X0] : ((~calm(X0) <~> happy(X0)) => (humble(X0) & brave(X0))) [input p2]
5. ! [X0] : ((~happy(X0) | ~tall(X0)) => (kind(X0) & brave(X0))) [i... | 0 |
If fred is not quiet or wise then someone is both strong and brave.
If mary is both happy and curious then susan is not curious.
Everyone who is not patient or not old is either generous or rich and vice versa.
If mary is either creative or humble then someone is patient or not funny.
Everyone who is wise or not humble... | Susan is not calm. | neutral | (((~quiet(fred)|wise(fred)))=>(?[X]:((strong(X)&brave(X)))))&
(((happy(mary)&curious(mary)))=>(~curious(susan)))&
(![X]:((~patient(X)|~old(X))<=>(generous(X)<~>rich(X))))&
(((creative(mary)<~>humble(mary)))=>(?[X]:((patient(X)|~funny(X)))))&
(![X]:((wise(X)|~humble(X))<=>(old(X)<~>~brave(X))))&
(![X]:((old(X)|~old(X))=... | ~calm(susan) | [] | null | 0 |
Everyone who is either rich or not quiet is curious or not quiet.
If mary is both not kind and humble then someone is either tall or not tall and vice versa.
If john is either creative or not old then someone is both old and kind.
Everyone who is either generous or not humble is either not creative or old and vice vers... | Susan is not happy. | contradiction | (![X]:((rich(X)<~>~quiet(X))=>(curious(X)|~quiet(X))))&
(((~kind(mary)&humble(mary)))<=>(?[X]:((tall(X)<~>~tall(X)))))&
(((creative(john)<~>~old(john)))=>(?[X]:((old(X)&kind(X)))))&
(![X]:((generous(X)<~>~humble(X))<=>(~creative(X)<~>old(X))))&
(![X]:((happy(X)<~>~funny(X))=>(patient(X)&~quiet(X))))&
((?[X]:((calm(X)|q... | ~happy(susan) | [
"p1",
"p3",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3693261234116900056354322
% SZS output start Proof for 3693261234116900056354322
2. (humble(mary) & ~kind(mary)) <=> ? [X0] : (tall(X0) <~> ~tall(X0)) [input p1]
4. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (~creative(X0) <~> old(X0))) [input p3]
8. ! [X0] : (~kind(X0) <=> (~creative(X... | 0 |
If susan is either not rich or brave then someone is either not curious or not tall and vice versa. If someone is either not creative or tall then someone is not strong. If someone is both not tall and not creative then someone is calm or not wise and vice versa. Everyone who is either not tall or old is both not calm ... | Fred is tall. | entailment | (((~rich(susan)<~>brave(susan)))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:(~strong(X))))&
((?[X]:((~tall(X)&~creative(X))))<=>(?[X]:((calm(X)|~wise(X)))))&
(![X]:((~tall(X)<~>old(X))=>(~calm(X)&~patient(X))))&
((strong(fred))<=>(?[X]:((brave(X)|kind(X)))))&
(((patient(lucy)<~>~qui... | tall(fred) | [
"p2",
"p3",
"p8",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 50363364175712719408588
% SZS output start Proof for 50363364175712719408588
3. ? [X0] : (~creative(X0) & ~tall(X0)) <=> ? [X0] : (~wise(X0) | calm(X0)) [input p2]
4. ! [X0] : ((~tall(X0) <~> old(X0)) => (~patient(X0) & ~calm(X0))) [input p3]
9. old(fred) <=> (~patient(fred) <~> ~wise(fre... | 0 |
Everyone who is tall is both not happy and not tall. Everyone who is either not calm or strong is kind or creative. Everyone who is quiet or calm is patient. Everyone who is either not strong or not brave is both not brave and not rich and vice versa. If fred is both tall and rich then fred is both calm and not happy a... | Paul is curious. | neutral | (![X]:(tall(X)=>(~happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>strong(X))=>(kind(X)|creative(X))))&
(![X]:((quiet(X)|calm(X))=>patient(X)))&
(![X]:((~strong(X)<~>~brave(X))<=>(~brave(X)&~rich(X))))&
(((tall(fred)&rich(fred)))<=>((calm(fred)&~happy(fred))))&
((old(alice))<=>((patient(mary)<~>curious(mary))))&
(![X]:((~happy... | curious(paul) | [] | null | 0 |
If susan is both calm and curious then alice is wise and vice versa. If lucy is either creative or wise then john is both not happy and not strong. If john is both not happy and not strong then alice is both not generous and wise and vice versa. Everyone who is both not happy and not brave is funny and vice versa. If a... | Susan is rich. | neutral | (((calm(susan)&curious(susan)))<=>(wise(alice)))&
(((creative(lucy)<~>wise(lucy)))=>((~happy(john)&~strong(john))))&
(((~happy(john)&~strong(john)))<=>((~generous(alice)&wise(alice))))&
(![X]:((~happy(X)&~brave(X))<=>funny(X)))&
(((tall(alice)<~>funny(alice)))=>(generous(lucy)))&
(![X]:((brave(X)<~>generous(X))<=>(calm... | rich(susan) | [] | null | 0 |
If someone is both rich and quiet then paul is either not patient or not brave and vice versa.
Everyone who is not curious or wise is either not creative or not rich and vice versa.
Everyone who is not humble or not happy is both old and not calm.
If alice is either not brave or old then lucy is rich.
Everyone who is g... | Mary is humble. | entailment | ((?[X]:((rich(X)&quiet(X))))<=>((~patient(paul)<~>~brave(paul))))&
(![X]:((~curious(X)|wise(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(old(X)&~calm(X))))&
(((~brave(alice)<~>old(alice)))=>(rich(lucy)))&
(![X]:(generous(X)<=>(~rich(X)&~happy(X))))&
(![X]:((brave(X)|~generous(X))<=>(humble(X)&pati... | humble(mary) | [
"p4",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 803756351453865219128477
% SZS output start Proof for 803756351453865219128477
5. ! [X0] : (generous(X0) <=> (~happy(X0) & ~rich(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | brave(X0)) <=> (patient(X0) & humble(X0))) [input p5]
11. ! [X0] : ((wise(X0) & ~funny(X0)) <=> (~old(X0) | ~happ... | 0 |
If john is both brave and curious then someone is either funny or not kind and vice versa. If fred is calm or not humble then john is not humble and vice versa. Everyone who is strong or wise is strong or not rich and vice versa. Everyone who is creative is not quiet or not brave. Everyone who is not humble or not kind... | Alice is not calm. | neutral | (((brave(john)&curious(john)))<=>(?[X]:((funny(X)<~>~kind(X)))))&
(((calm(fred)|~humble(fred)))<=>(~humble(john)))&
(![X]:((strong(X)|wise(X))<=>(strong(X)|~rich(X))))&
(![X]:(creative(X)=>(~quiet(X)|~brave(X))))&
(![X]:((~humble(X)|~kind(X))<=>(~patient(X)|calm(X))))&
(((~kind(fred)|funny(fred)))<=>((quiet(john)|creat... | ~calm(alice) | [] | null | 0 |
Everyone who is not rich or not kind is either not happy or patient. Everyone who is both happy and not tall is not patient. If alice is either not wise or not rich then someone is either not patient or not rich and vice versa. Everyone who is both not rich and not calm is either quiet or not strong. If fred is not tal... | Susan is patient. | neutral | (![X]:((~rich(X)|~kind(X))=>(~happy(X)<~>patient(X))))&
(![X]:((happy(X)&~tall(X))=>~patient(X)))&
(((~wise(alice)<~>~rich(alice)))<=>(?[X]:((~patient(X)<~>~rich(X)))))&
(![X]:((~rich(X)&~calm(X))=>(quiet(X)<~>~strong(X))))&
(((~tall(fred)|~humble(fred)))=>(?[X]:((~wise(X)<~>funny(X)))))&
(![X]:(~curious(X)<=>(~kind(X)... | patient(susan) | [] | null | 0 |
Everyone who is not generous or not calm is both not old and humble. Everyone who is both tall and brave is humble and vice versa. Everyone who is either not happy or funny is both rich and patient and vice versa. If lucy is not calm or wise then lucy is either not quiet or strong. Everyone who is wise is old and vice ... | Alice is patient. | entailment | (![X]:((~generous(X)|~calm(X))=>(~old(X)&humble(X))))&
(![X]:((tall(X)&brave(X))<=>humble(X)))&
(![X]:((~happy(X)<~>funny(X))<=>(rich(X)&patient(X))))&
(((~calm(lucy)|wise(lucy)))=>((~quiet(lucy)<~>strong(lucy))))&
(![X]:(wise(X)<=>old(X)))&
(![X]:((rich(X)<~>kind(X))<=>(~generous(X)<~>old(X))))&
(![X]:((kind(X)<~>~tal... | patient(alice) | [
"p0",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5962209759866180799615084
% SZS output start Proof for 5962209759866180799615084
1. ! [X0] : ((~calm(X0) | ~generous(X0)) => (humble(X0) & ~old(X0))) [input p0]
9. ~generous(alice) <=> ~rich(alice) [input p8]
13. ! [X0] : ((~calm(X0) & patient(X0)) <=> rich(X0)) [input p12]
15. ! [X0] : (... | 0 |
Everyone who is either not patient or patient is either not kind or not strong and vice versa.
If john is both happy and not creative then alice is not old or tall and vice versa.
If someone is either not generous or not quiet then alice is not funny or not tall.
Everyone who is not wise is both not calm and not funny ... | Susan is not creative. | neutral | (![X]:((~patient(X)<~>patient(X))<=>(~kind(X)<~>~strong(X))))&
(((happy(john)&~creative(john)))<=>((~old(alice)|tall(alice))))&
((?[X]:((~generous(X)<~>~quiet(X))))=>((~funny(alice)|~tall(alice))))&
(![X]:(~wise(X)<=>(~calm(X)&~funny(X))))&
(![X]:((~kind(X)&strong(X))=>(~rich(X)<~>kind(X))))&
(![X]:((strong(X)<~>~brave... | ~creative(susan) | [] | null | 0 |
Everyone who is not funny is both quiet and strong and vice versa.
Everyone who is not calm is not kind.
If someone is both tall and happy then john is either kind or calm.
Everyone who is either not calm or not funny is not quiet and vice versa.
Everyone who is not tall is either quiet or creative and vice versa.
Ever... | Fred is tall. | entailment | (![X]:(~funny(X)<=>(quiet(X)&strong(X))))&
(![X]:(~calm(X)=>~kind(X)))&
((?[X]:((tall(X)&happy(X))))=>((kind(john)<~>calm(john))))&
(![X]:((~calm(X)<~>~funny(X))<=>~quiet(X)))&
(![X]:(~tall(X)<=>(quiet(X)<~>creative(X))))&
(![X]:((~tall(X)&~curious(X))=>(strong(X)|kind(X))))&
(![X]:((~tall(X)|~creative(X))<=>curious(X)... | tall(fred) | [
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6320744856423301547609537
% SZS output start Proof for 6320744856423301547609537
7. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> curious(X0)) [input p6]
14. curious(fred) => (~rich(paul) & funny(paul)) [input p13]
17. funny(paul) <~> ~rich(paul) [input p16]
24. ~tall(fred) [input hypothesis]... | 0 |
If someone is quiet then susan is either curious or not rich and vice versa.
Everyone who is both calm and not generous is either humble or brave and vice versa.
Everyone who is both kind and quiet is not happy or humble.
Everyone who is calm is either generous or not wise and vice versa.
Everyone who is not brave or w... | John is humble. | contradiction | ((?[X]:(quiet(X)))<=>((curious(susan)<~>~rich(susan))))&
(![X]:((calm(X)&~generous(X))<=>(humble(X)<~>brave(X))))&
(![X]:((kind(X)&quiet(X))=>(~happy(X)|humble(X))))&
(![X]:(calm(X)<=>(generous(X)<~>~wise(X))))&
(![X]:((~brave(X)|wise(X))<=>(funny(X)&~tall(X))))&
((?[X]:((~quiet(X)&happy(X))))=>(?[X]:((~funny(X)&~happy... | humble(john) | [
"p1",
"p3",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4546248422315812560885761
% SZS output start Proof for 4546248422315812560885761
2. ! [X0] : ((~generous(X0) & calm(X0)) <=> (humble(X0) <~> brave(X0))) [input p1]
4. ! [X0] : (calm(X0) <=> (generous(X0) <~> ~wise(X0))) [input p3]
15. ! [X0] : ((wise(X0) <~> ~brave(X0)) => (generous(X0) &... | 0 |
If susan is both tall and not creative then someone is not wise and vice versa.
If someone is not curious then susan is both funny and not old.
If susan is either not creative or brave then someone is both happy and patient.
If someone is creative or not creative then paul is both not happy and not calm.
If someone is ... | Lucy is not tall. | contradiction | (((tall(susan)&~creative(susan)))<=>(?[X]:(~wise(X))))&
((?[X]:(~curious(X)))=>((funny(susan)&~old(susan))))&
(((~creative(susan)<~>brave(susan)))=>(?[X]:((happy(X)&patient(X)))))&
((?[X]:((creative(X)|~creative(X))))=>((~happy(paul)&~calm(paul))))&
((?[X]:(rich(X)))=>((curious(susan)|generous(susan))))&
((~wise(alice)... | ~tall(lucy) | [
"p0",
"p2",
"p7",
"p8",
"p10",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8411141618007221887679288
% SZS output start Proof for 8411141618007221887679288
1. (~creative(susan) & tall(susan)) <=> ? [X0] : ~wise(X0) [input p0]
3. (~creative(susan) <~> brave(susan)) => ? [X0] : (patient(X0) & happy(X0)) [input p2]
8. ! [X0] : ((~patient(X0) & strong(X0)) <=> (brav... | 0 |
Everyone who is either generous or kind is not curious.
If mary is kind or rich then paul is both calm and not wise and vice versa.
If someone is generous then someone is both not brave and not quiet and vice versa.
If lucy is either strong or funny then lucy is not tall.
Everyone who is tall or wise is both not tall a... | Mary is not tall. | entailment | (![X]:((generous(X)<~>kind(X))=>~curious(X)))&
(((kind(mary)|rich(mary)))<=>((calm(paul)&~wise(paul))))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~quiet(X)))))&
(((strong(lucy)<~>funny(lucy)))=>(~tall(lucy)))&
(![X]:((tall(X)|wise(X))<=>(~tall(X)&~calm(X))))&
(![X]:((tall(X)<~>old(X))=>(wise(X)<~>~kind(X))))&
(((funny... | ~tall(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 297027493235706461669932
% SZS output start Proof for 297027493235706461669932
5. ! [X0] : ((wise(X0) | tall(X0)) <=> (~calm(X0) & ~tall(X0))) [input p4]
25. tall(mary) [input hypothesis]
49. ! [X0] : (((wise(X0) | tall(X0)) | (calm(X0) | tall(X0))) & ((~calm(X0) & ~tall(X0)) | (~wise(X0)... | 0 |
If paul is not wise or not strong then lucy is kind and vice versa.
If someone is not rich or kind then lucy is either tall or not old.
If someone is not strong then someone is either generous or not old and vice versa.
If someone is strong then paul is either quiet or not quiet and vice versa.
Everyone who is creative... | Lucy is not brave. | contradiction | (((~wise(paul)|~strong(paul)))<=>(kind(lucy)))&
((?[X]:((~rich(X)|kind(X))))=>((tall(lucy)<~>~old(lucy))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)<~>~old(X)))))&
((?[X]:(strong(X)))<=>((quiet(paul)<~>~quiet(paul))))&
(![X]:((creative(X)|~quiet(X))<=>(~wise(X)|~generous(X))))&
(((~kind(lucy)&~patient(lucy)))=>(?[X]:... | ~brave(lucy) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2664090141483749916795957
% SZS output start Proof for 2664090141483749916795957
1. (~strong(paul) | ~wise(paul)) <=> kind(lucy) [input p0]
2. ? [X0] : (kind(X0) | ~rich(X0)) => (tall(lucy) <~> ~old(lucy)) [input p1]
5. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (~generous(X0) | ~wise(X0))... | 0 |
Everyone who is strong or kind is either not tall or not creative and vice versa. Everyone who is either humble or wise is both rich and tall. Everyone who is quiet is either calm or not wise. Everyone who is either not happy or not humble is both rich and not wise. Everyone who is rich is both humble and not calm. Eve... | Susan is not strong. | entailment | (![X]:((strong(X)|kind(X))<=>(~tall(X)<~>~creative(X))))&
(![X]:((humble(X)<~>wise(X))=>(rich(X)&tall(X))))&
(![X]:(quiet(X)=>(calm(X)<~>~wise(X))))&
(![X]:((~happy(X)<~>~humble(X))=>(rich(X)&~wise(X))))&
(![X]:(rich(X)=>(humble(X)&~calm(X))))&
(![X]:((generous(X)|~patient(X))<=>(patient(X)<~>~creative(X))))&
(![X]:((~... | ~strong(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 206488261698289342450794
% SZS output start Proof for 206488261698289342450794
21. kind(susan) & ~strong(susan) [input p20]
25. strong(susan) [input hypothesis]
127. ~strong(susan) [cnf transformation 21]
133. strong(susan) [cnf transformation 25]
249. $false [subsumption resolution 133,1... | 0 |
If paul is wise or not wise then mary is both quiet and not generous.
Everyone who is not old is strong and vice versa.
Everyone who is both not tall and not curious is humble or not wise.
If someone is either not kind or not calm then someone is not generous and vice versa.
If someone is happy or rich then someone is ... | John is not generous. | neutral | (((wise(paul)|~wise(paul)))=>((quiet(mary)&~generous(mary))))&
(![X]:(~old(X)<=>strong(X)))&
(![X]:((~tall(X)&~curious(X))=>(humble(X)|~wise(X))))&
((?[X]:((~kind(X)<~>~calm(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((happy(X)|rich(X))))=>(?[X]:((creative(X)|kind(X)))))&
(![X]:((rich(X)|generous(X))<=>(~curious(X)<~>~quie... | ~generous(john) | [] | null | 0 |
Everyone who is both not old and rich is both generous and rich.
Everyone who is not kind is either calm or not tall.
Everyone who is not rich or generous is either not calm or quiet.
If someone is either not rich or funny then john is calm or not rich and vice versa.
If lucy is wise then john is either quiet or kind.
... | Alice is creative. | neutral | (![X]:((~old(X)&rich(X))=>(generous(X)&rich(X))))&
(![X]:(~kind(X)=>(calm(X)<~>~tall(X))))&
(![X]:((~rich(X)|generous(X))=>(~calm(X)<~>quiet(X))))&
((?[X]:((~rich(X)<~>funny(X))))<=>((calm(john)|~rich(john))))&
((wise(lucy))=>((quiet(john)<~>kind(john))))&
(((~old(alice)|creative(alice)))=>(?[X]:((~tall(X)|~calm(X)))))... | creative(alice) | [] | null | 0 |
Everyone who is kind or not happy is either not kind or not old.
If someone is not curious or rich then fred is either humble or not creative.
If someone is humble then someone is not generous and vice versa.
If mary is both not tall and curious then someone is both wise and tall and vice versa.
Everyone who is not hap... | Mary is humble. | neutral | (![X]:((kind(X)|~happy(X))=>(~kind(X)<~>~old(X))))&
((?[X]:((~curious(X)|rich(X))))=>((humble(fred)<~>~creative(fred))))&
((?[X]:(humble(X)))<=>(?[X]:(~generous(X))))&
(((~tall(mary)&curious(mary)))<=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((~happy(X)|curious(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~quiet(X)&~old(X))<=... | humble(mary) | [] | null | 0 |
If someone is not creative or humble then someone is happy. If someone is both wise and calm then someone is either not kind or not humble and vice versa. Everyone who is both not wise and not kind is either funny or humble and vice versa. If someone is both not kind and not brave then someone is either rich or brave a... | Fred is funny. | neutral | ((?[X]:((~creative(X)|humble(X))))=>(?[X]:(happy(X))))&
((?[X]:((wise(X)&calm(X))))<=>(?[X]:((~kind(X)<~>~humble(X)))))&
(![X]:((~wise(X)&~kind(X))<=>(funny(X)<~>humble(X))))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~creative(X)<~>quiet(X))=>~calm(X)))&
(![X]:(happy(X)=>(~old(X)<~>~kind... | funny(fred) | [] | null | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Fred is not brave. | contradiction | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | ~brave(fred) | [
"p1",
"p2",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5106388536619480044553069
% SZS output start Proof for 5106388536619480044553069
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => (~wise(X0) & tall(X0))) [input p2]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (funny(X... | 0 |
If john is not old or generous then someone is patient or not strong and vice versa.
Everyone who is generous or funny is both not humble and patient and vice versa.
Everyone who is either curious or not generous is not curious and vice versa.
Everyone who is both not rich and not patient is either patient or not curio... | Fred is calm. | contradiction | (((~old(john)|generous(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(![X]:((generous(X)|funny(X))<=>(~humble(X)&patient(X))))&
(![X]:((curious(X)<~>~generous(X))<=>~curious(X)))&
(![X]:((~rich(X)&~patient(X))=>(patient(X)<~>~curious(X))))&
((?[X]:((calm(X)|~creative(X))))=>(~brave(alice)))&
(![X]:((~strong(X)|~curious(... | calm(fred) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 579492934477032731733619
% SZS output start Proof for 579492934477032731733619
5. ? [X0] : (~creative(X0) | calm(X0)) => ~brave(alice) [input p4]
14. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~kind(X0) | ~brave(X0))) [input p13]
22. calm(fred) [input hypothesis]
24. ? [X0] : calm(X0) => ~bra... | 0 |
If someone is either not humble or not patient then john is not patient or patient and vice versa.
If someone is both not wise and not generous then someone is either not kind or not rich.
If someone is quiet then someone is either patient or rich.
If mary is either generous or old then someone is both not humble and p... | Fred is old. | contradiction | ((?[X]:((~humble(X)<~>~patient(X))))<=>((~patient(john)|patient(john))))&
((?[X]:((~wise(X)&~generous(X))))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((patient(X)<~>rich(X)))))&
(((generous(mary)<~>old(mary)))=>(?[X]:((~humble(X)&patient(X)))))&
(((~humble(paul)|~generous(paul)))<=>((happy(mary)|humbl... | old(fred) | [
"p5",
"p7",
"p10",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1831678499715512488355100
% SZS output start Proof for 1831678499715512488355100
6. ! [X0] : (~creative(X0) <=> ~calm(X0)) [input p5]
8. ? [X0] : quiet(X0) <=> (patient(susan) & ~creative(susan)) [input p7]
11. ! [X0] : ((kind(X0) <~> quiet(X0)) <=> (~strong(X0) & ~quiet(X0))) [input p10]... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Mary is not humble. | entailment | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | ~humble(mary) | [
"p8",
"p9",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 39802089821380189067330
% SZS output start Proof for 39802089821380189067330
9. ? [X0] : (generous(X0) | calm(X0)) => ? [X0] : ~old(X0) [input p8]
10. ! [X0] : ((funny(X0) | quiet(X0)) => (~patient(X0) <~> ~calm(X0))) [input p9]
13. ! [X0] : ((~humble(X0) | old(X0)) <=> (~patient(X0) | ~h... | 0 |
Everyone who is either calm or not creative is either not curious or not brave and vice versa. If fred is either not humble or generous then fred is both not strong and not happy. If john is kind then mary is quiet or tall. If someone is not kind or not patient then fred is generous or patient. Everyone who is not rich... | Fred is not old. | entailment | (![X]:((calm(X)<~>~creative(X))<=>(~curious(X)<~>~brave(X))))&
(((~humble(fred)<~>generous(fred)))=>((~strong(fred)&~happy(fred))))&
((kind(john))=>((quiet(mary)|tall(mary))))&
((?[X]:((~kind(X)|~patient(X))))=>((generous(fred)|patient(fred))))&
(![X]:((~rich(X)|~humble(X))<=>(~tall(X)<~>~quiet(X))))&
(((wise(susan)<~>... | ~old(fred) | [
"p3",
"p6",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4205254479534438100364930
% SZS output start Proof for 4205254479534438100364930
4. ? [X0] : (~patient(X0) | ~kind(X0)) => (patient(fred) | generous(fred)) [input p3]
7. ! [X0] : ((generous(X0) & old(X0)) <=> (~calm(X0) <~> ~creative(X0))) [input p6]
13. ! [X0] : ((calm(X0) | happy(X0)) =... | 0 |
If fred is both generous and strong then alice is not rich. Everyone who is not quiet or funny is both tall and old. Everyone who is either not brave or quiet is calm and vice versa. Everyone who is not old or kind is either kind or not strong. Everyone who is not wise is not humble or rich. Everyone who is not funny o... | Fred is creative. | entailment | (((generous(fred)&strong(fred)))=>(~rich(alice)))&
(![X]:((~quiet(X)|funny(X))=>(tall(X)&old(X))))&
(![X]:((~brave(X)<~>quiet(X))<=>calm(X)))&
(![X]:((~old(X)|kind(X))=>(kind(X)<~>~strong(X))))&
(![X]:(~wise(X)=>(~humble(X)|rich(X))))&
(![X]:((~funny(X)|tall(X))<=>strong(X)))&
(![X]:((~creative(X)<~>patient(X))<=>(tall... | creative(fred) | [
"p1",
"p6",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 123519984311332576675991
% SZS output start Proof for 123519984311332576675991
2. ! [X0] : ((funny(X0) | ~quiet(X0)) => (old(X0) & tall(X0))) [input p1]
7. ! [X0] : ((~creative(X0) <~> patient(X0)) <=> (creative(X0) & tall(X0))) [input p6]
12. (curious(fred) & ~patient(fred)) <=> ? [X0] :... | 0 |
Everyone who is not humble or not creative is either not rich or creative and vice versa.
If someone is curious or not brave then someone is humble or not curious.
Everyone who is either kind or tall is both not kind and not rich and vice versa.
If someone is not wise then someone is both not patient and old and vice v... | Mary is not strong. | entailment | (![X]:((~humble(X)|~creative(X))<=>(~rich(X)<~>creative(X))))&
((?[X]:((curious(X)|~brave(X))))=>(?[X]:((humble(X)|~curious(X)))))&
(![X]:((kind(X)<~>tall(X))<=>(~kind(X)&~rich(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((~patient(X)&old(X)))))&
((?[X]:((humble(X)&creative(X))))=>((~rich(mary)<~>strong(mary))))&
(![X]:((~patien... | ~strong(mary) | [
"p0",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5854441694695761338406284
% SZS output start Proof for 5854441694695761338406284
1. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (~rich(X0) <~> creative(X0))) [input p0]
6. ! [X0] : ((~rich(X0) | ~patient(X0)) => ~strong(X0)) [input p5]
23. humble(mary) [input p22]
24. strong(mary) [input ... | 0 |
Everyone who is not tall or not generous is generous or not humble and vice versa. Everyone who is either happy or kind is not tall or not strong and vice versa. If fred is either not brave or not kind then paul is both creative and patient and vice versa. Everyone who is either not generous or not humble is either fun... | Paul is not creative. | neutral | (![X]:((~tall(X)|~generous(X))<=>(generous(X)|~humble(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~tall(X)|~strong(X))))&
(((~brave(fred)<~>~kind(fred)))<=>((creative(paul)&patient(paul))))&
(![X]:((~generous(X)<~>~humble(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(wise(X)=>(creative(X)<~>~humble(X))))&
(((happy(paul)|~creativ... | ~creative(paul) | [] | null | 0 |
Everyone who is either calm or curious is not curious. Everyone who is either not funny or not strong is both curious and funny and vice versa. If someone is creative or kind then someone is not patient or not strong and vice versa. If someone is either brave or not creative then mary is either patient or not rich and ... | Alice is not old. | entailment | (![X]:((calm(X)<~>curious(X))=>~curious(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(curious(X)&funny(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~patient(X)|~strong(X)))))&
((?[X]:((brave(X)<~>~creative(X))))<=>((patient(mary)<~>~rich(mary))))&
(![X]:((generous(X)&~quiet(X))=>(~patient(X)&rich(X))))&
((?[X]:((generou... | ~old(alice) | [
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2851470959120489666825875
% SZS output start Proof for 2851470959120489666825875
6. ? [X0] : (generous(X0) <~> humble(X0)) <=> (brave(alice) & curious(alice)) [input p5]
9. ? [X0] : generous(X0) <=> (~humble(mary) & old(mary)) [input p8]
11. ! [X0] : (~curious(X0) <=> (~quiet(X0) | ~happy... | 0 |
If someone is both wise and creative then lucy is both strong and kind.
If someone is wise then fred is strong and vice versa.
Everyone who is generous is not humble or calm.
Everyone who is either rich or not generous is either not strong or calm.
Everyone who is both not rich and not creative is both not calm and tal... | Alice is not tall. | neutral | ((?[X]:((wise(X)&creative(X))))=>((strong(lucy)&kind(lucy))))&
((?[X]:(wise(X)))<=>(strong(fred)))&
(![X]:(generous(X)=>(~humble(X)|calm(X))))&
(![X]:((rich(X)<~>~generous(X))=>(~strong(X)<~>calm(X))))&
(![X]:((~rich(X)&~creative(X))=>(~calm(X)&tall(X))))&
(((calm(lucy)|~strong(lucy)))<=>((~brave(fred)|creative(fred)))... | ~tall(alice) | [] | null | 0 |
Everyone who is either not rich or not strong is not generous or not strong. Everyone who is both not strong and not calm is either not humble or humble. Everyone who is curious or humble is not curious and vice versa. If lucy is both brave and tall then someone is not patient and vice versa. Everyone who is not tall o... | Mary is not quiet. | entailment | (![X]:((~rich(X)<~>~strong(X))=>(~generous(X)|~strong(X))))&
(![X]:((~strong(X)&~calm(X))=>(~humble(X)<~>humble(X))))&
(![X]:((curious(X)|humble(X))<=>~curious(X)))&
(((brave(lucy)&tall(lucy)))<=>(?[X]:(~patient(X))))&
(![X]:((~tall(X)|~rich(X))=>wise(X)))&
((?[X]:((~funny(X)<~>~curious(X))))<=>(?[X]:((~curious(X)|curi... | ~quiet(mary) | [
"p2",
"p8",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3955526786120288637192398
% SZS output start Proof for 3955526786120288637192398
3. ! [X0] : ((humble(X0) | curious(X0)) <=> ~curious(X0)) [input p2]
9. ! [X0] : ((~strong(X0) | humble(X0)) => (~calm(X0) & ~wise(X0))) [input p8]
12. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p11]
16. wise(a... | 0 |
If alice is not funny or not curious then someone is both kind and strong. Everyone who is brave is not patient. If someone is either tall or brave then alice is not tall or patient and vice versa. Everyone who is rich or tall is funny or not quiet and vice versa. Everyone who is both not patient and rich is curious or... | Alice is not curious. | contradiction | (((~funny(alice)|~curious(alice)))=>(?[X]:((kind(X)&strong(X)))))&
(![X]:(brave(X)=>~patient(X)))&
((?[X]:((tall(X)<~>brave(X))))<=>((~tall(alice)|patient(alice))))&
(![X]:((rich(X)|tall(X))<=>(funny(X)|~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curious(X)|quiet(X))))&
((?[X]:((~generous(X)&~quiet(X))))=>(?[X]:((tal... | ~curious(alice) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6129992316864304955233170
% SZS output start Proof for 6129992316864304955233170
13. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p12]
14. ! [X0] : (creative(X0) <=> (~curious(X0) | creative(X0))) [input p13]
23. ~curious(alice) [input hypothesis]
57. ! [X0] : ((patient... | 0 |
Everyone who is either not curious or not old is either not funny or creative.
Everyone who is either not old or not humble is both not patient and not rich and vice versa.
If lucy is rich or patient then someone is both not patient and not wise and vice versa.
If someone is not kind or calm then john is both creative ... | Mary is brave. | neutral | (![X]:((~curious(X)<~>~old(X))=>(~funny(X)<~>creative(X))))&
(![X]:((~old(X)<~>~humble(X))<=>(~patient(X)&~rich(X))))&
(((rich(lucy)|patient(lucy)))<=>(?[X]:((~patient(X)&~wise(X)))))&
((?[X]:((~kind(X)|calm(X))))=>((creative(john)&~patient(john))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~patient(X)<~>curious(X)))))&
(((~happy... | brave(mary) | [] | null | 0 |
If someone is quiet or old then mary is not rich or not humble. Everyone who is both not kind and funny is strong or happy and vice versa. If someone is both not tall and not patient then someone is not strong and vice versa. Everyone who is either kind or not brave is not old and vice versa. Everyone who is generous o... | Susan is funny. | entailment | ((?[X]:((quiet(X)|old(X))))=>((~rich(mary)|~humble(mary))))&
(![X]:((~kind(X)&funny(X))<=>(strong(X)|happy(X))))&
((?[X]:((~tall(X)&~patient(X))))<=>(?[X]:(~strong(X))))&
(![X]:((kind(X)<~>~brave(X))<=>~old(X)))&
(![X]:((generous(X)|~generous(X))=>~rich(X)))&
(((patient(susan)&happy(susan)))<=>(~rich(susan)))&
(![X]:((... | funny(susan) | [
"p1",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7726893105064644506957906
% SZS output start Proof for 7726893105064644506957906
2. ! [X0] : ((funny(X0) & ~kind(X0)) <=> (happy(X0) | strong(X0))) [input p1]
5. ! [X0] : ((~generous(X0) | generous(X0)) => ~rich(X0)) [input p4]
6. (happy(susan) & patient(susan)) <=> ~rich(susan) [input p5... | 0 |
If someone is not curious then someone is not generous and vice versa. Everyone who is both kind and not old is both brave and creative and vice versa. Everyone who is either tall or not creative is not calm or not tall and vice versa. Everyone who is both humble and happy is old and vice versa. If someone is tall then... | Alice is happy. | entailment | ((?[X]:(~curious(X)))<=>(?[X]:(~generous(X))))&
(![X]:((kind(X)&~old(X))<=>(brave(X)&creative(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(~calm(X)|~tall(X))))&
(![X]:((humble(X)&happy(X))<=>old(X)))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)|~old(X)))))&
((?[X]:((~curious(X)|old(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:(... | happy(alice) | [
"p3",
"p6",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5434873140219798548604413
% SZS output start Proof for 5434873140219798548604413
4. ! [X0] : ((happy(X0) & humble(X0)) <=> old(X0)) [input p3]
7. ! [X0] : ((kind(X0) & curious(X0)) <=> ~generous(X0)) [input p6]
17. ~tall(alice) & ~generous(alice) [input p16]
20. ~curious(alice) <~> old(al... | 0 |
Everyone who is creative or funny is not tall and vice versa. Everyone who is not kind or calm is either not patient or not creative. If fred is not quiet or generous then someone is old or not curious. If someone is both strong and not patient then someone is rich or patient and vice versa. Everyone who is both humble... | Alice is not funny. | entailment | (![X]:((creative(X)|funny(X))<=>~tall(X)))&
(![X]:((~kind(X)|calm(X))=>(~patient(X)<~>~creative(X))))&
(((~quiet(fred)|generous(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((strong(X)&~patient(X))))<=>(?[X]:((rich(X)|patient(X)))))&
(![X]:((humble(X)&old(X))<=>(brave(X)&~generous(X))))&
(((~generous(paul)&brave(pau... | ~funny(alice) | [
"p0",
"p6",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 207085659015349763310354
% SZS output start Proof for 207085659015349763310354
1. ! [X0] : ((funny(X0) | creative(X0)) <=> ~tall(X0)) [input p0]
7. (~brave(alice) & patient(alice)) <=> (quiet(lucy) | ~rich(lucy)) [input p6]
9. ! [X0] : (~tall(X0) => (~patient(X0) & old(X0))) [input p8]
10... | 0 |
Everyone who is both creative and happy is both tall and humble and vice versa.
If susan is not kind or not patient then someone is either not quiet or happy and vice versa.
If paul is not quiet then someone is not brave or not generous.
If someone is either not strong or not rich then someone is either tall or not cur... | Susan is kind. | contradiction | (![X]:((creative(X)&happy(X))<=>(tall(X)&humble(X))))&
(((~kind(susan)|~patient(susan)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
((~quiet(paul))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(~happy(X)<=>(~kind(X)<~>funny(X))))&
(((patient(john)&~quiet(john... | kind(susan) | [
"p1",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2526163922925403822743319
% SZS output start Proof for 2526163922925403822743319
2. (~patient(susan) | ~kind(susan)) <=> ? [X0] : (~quiet(X0) <~> happy(X0)) [input p1]
6. (~quiet(john) & patient(john)) <=> ? [X0] : (quiet(X0) & ~brave(X0)) [input p5]
9. ? [X0] : ~happy(X0) <=> ? [X0] : (w... | 0 |
Everyone who is both brave and not old is both not generous and generous and vice versa. Everyone who is not kind is both not humble and curious and vice versa. If susan is not brave or calm then someone is not brave and vice versa. Everyone who is funny or not creative is brave or not brave. If someone is not funny or... | Paul is not curious. | entailment | (![X]:((brave(X)&~old(X))<=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?[X]:((~funny(X)|tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~strong(X))=>(creative(X)|~strong(X... | ~curious(paul) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1777937759928925003190402
% SZS output start Proof for 1777937759928925003190402
7. ! [X0] : (old(X0) => (tall(X0) & ~old(X0))) [input p6]
11. ! [X0] : ((~creative(X0) & old(X0)) <=> (calm(X0) | curious(X0))) [input p10]
23. curious(paul) [input hypothesis]
32. ! [X0] : ((tall(X0) & ~old(... | 0 |
If alice is not humble then someone is either kind or old.
Everyone who is strong or rich is old or quiet.
If mary is both not tall and rich then john is either not calm or patient.
Everyone who is not brave or not happy is both patient and wise and vice versa.
Everyone who is not brave is funny.
Everyone who is not wi... | Paul is tall. | contradiction | ((~humble(alice))=>(?[X]:((kind(X)<~>old(X)))))&
(![X]:((strong(X)|rich(X))=>(old(X)|quiet(X))))&
(((~tall(mary)&rich(mary)))=>((~calm(john)<~>patient(john))))&
(![X]:((~brave(X)|~happy(X))<=>(patient(X)&wise(X))))&
(![X]:(~brave(X)=>funny(X)))&
(![X]:((~wise(X)|rich(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:(quiet(X)))<=... | tall(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5416588596767237227735342
% SZS output start Proof for 5416588596767237227735342
20. patient(paul) & ~tall(paul) [input p19]
25. tall(paul) [input hypothesis]
139. ~tall(paul) [cnf transformation 20]
147. tall(paul) [cnf transformation 25]
326. $false [subsumption resolution 147,139]
% SZ... | 0 |
Everyone who is tall is generous or old and vice versa.
Everyone who is creative or old is both not kind and old.
Everyone who is either creative or not creative is not curious or not old.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funn... | Fred is calm. | contradiction | (![X]:(tall(X)<=>(generous(X)|old(X))))&
(![X]:((creative(X)|old(X))=>(~kind(X)&old(X))))&
(![X]:((creative(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alic... | calm(fred) | [
"p1",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7904142660357643663234491
% SZS output start Proof for 7904142660357643663234491
2. ! [X0] : ((old(X0) | creative(X0)) => (old(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p3]
6. ? [X0] : (calm(X0) | funny(X0)) <=> (creative(alice) <... | 0 |
Everyone who is calm or not curious is both rich and kind. Everyone who is not calm is not humble and vice versa. Everyone who is wise or funny is both not old and old. If someone is either not quiet or not wise then someone is both curious and not rich. Everyone who is not quiet is either not tall or brave and vice ve... | Mary is humble. | entailment | (![X]:((calm(X)|~curious(X))=>(rich(X)&kind(X))))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((wise(X)|funny(X))=>(~old(X)&old(X))))&
((?[X]:((~quiet(X)<~>~wise(X))))=>(?[X]:((curious(X)&~rich(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)<~>brave(X))))&
(![X]:((strong(X)<~>~calm(X))=>(quiet(X)|~happy(X))))&
(![X]:(happy(X)<=>(~wise... | humble(mary) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6431335389106742306264223
% SZS output start Proof for 6431335389106742306264223
2. ! [X0] : (~calm(X0) <=> ~humble(X0)) [input p1]
20. calm(mary) [input p19]
22. ~humble(mary) [input hypothesis]
43. ! [X0] : ((~calm(X0) | humble(X0)) & (~humble(X0) | calm(X0))) [nnf transformation 2]
75.... | 0 |
Everyone who is both strong and kind is not rich.
If someone is humble then mary is either not patient or brave.
If someone is brave or funny then someone is happy and vice versa.
Everyone who is either not creative or not calm is both tall and creative and vice versa.
If someone is not creative then someone is either ... | Susan is calm. | contradiction | (![X]:((strong(X)&kind(X))=>~rich(X)))&
((?[X]:(humble(X)))=>((~patient(mary)<~>brave(mary))))&
((?[X]:((brave(X)|funny(X))))<=>(?[X]:(happy(X))))&
(![X]:((~creative(X)<~>~calm(X))<=>(tall(X)&creative(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~quiet(X)<~>~old(X)))))&
(((~quiet(susan)&~kind(susan)))<=>(?[X]:((~rich(X)<~>ta... | calm(susan) | [
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 578778314536813474670782
% SZS output start Proof for 578778314536813474670782
9. ! [X0] : ((~happy(X0) | calm(X0)) => ~happy(X0)) [input p8]
10. ? [X0] : ~rich(X0) => happy(susan) [input p9]
22. ~rich(lucy) [input p21]
25. calm(susan) [input hypothesis]
33. ! [X0] : (~happy(X0) | (happy(... | 0 |
If susan is both kind and creative then lucy is either not humble or not strong and vice versa.
If susan is rich then alice is not happy.
If someone is either not quiet or generous then alice is calm or wise and vice versa.
Everyone who is humble or not generous is not brave or quiet.
If alice is either not wise or str... | Alice is quiet. | entailment | (((kind(susan)&creative(susan)))<=>((~humble(lucy)<~>~strong(lucy))))&
((rich(susan))=>(~happy(alice)))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((calm(alice)|wise(alice))))&
(![X]:((humble(X)|~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patien... | quiet(alice) | [
"p6",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3136694220108635356830826
% SZS output start Proof for 3136694220108635356830826
7. ! [X0] : ((~strong(X0) | kind(X0)) => (~happy(X0) & quiet(X0))) [input p6]
11. ! [X0] : ((generous(X0) & happy(X0)) <=> (curious(X0) & happy(X0))) [input p10]
15. ! [X0] : ((~quiet(X0) | ~strong(X0)) => (h... | 0 |
Everyone who is tall or old is either quiet or not quiet and vice versa.
If someone is not funny or not curious then paul is not wise.
Everyone who is not generous or not tall is either curious or not calm.
If someone is both brave and not strong then lucy is not creative and vice versa.
Everyone who is not tall or tal... | Susan is old. | entailment | (![X]:((tall(X)|old(X))<=>(quiet(X)<~>~quiet(X))))&
((?[X]:((~funny(X)|~curious(X))))=>(~wise(paul)))&
(![X]:((~generous(X)|~tall(X))=>(curious(X)<~>~calm(X))))&
((?[X]:((brave(X)&~strong(X))))<=>(~creative(lucy)))&
(![X]:((~tall(X)|tall(X))=>~strong(X)))&
(![X]:((wise(X)&~happy(X))<=>(~quiet(X)|wise(X))))&
((?[X]:((~w... | old(susan) | [
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3373805927370564838273744
% SZS output start Proof for 3373805927370564838273744
5. ! [X0] : ((tall(X0) | ~tall(X0)) => ~strong(X0)) [input p4]
6. ! [X0] : ((~happy(X0) & wise(X0)) <=> (wise(X0) | ~quiet(X0))) [input p5]
13. ! [X0] : ((happy(X0) | ~strong(X0)) <=> (~quiet(X0) & ~creative(... | 0 |
Everyone who is both brave and not creative is either curious or kind and vice versa.
Everyone who is wise or not curious is both not creative and not patient.
If someone is both not rich and not old then someone is either rich or curious.
Everyone who is both humble and creative is not quiet or kind and vice versa.
Ev... | Fred is not funny. | entailment | (![X]:((brave(X)&~creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)&~patient(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((humble(X)&creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((~happy(X)&~funny(X))=>(~strong(X)&happy(X)))... | ~funny(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8468363283048861092997551
% SZS output start Proof for 8468363283048861092997551
10. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p9]
21. funny(fred) [input hypothesis]
43. ! [X0] : (((funny(X0) | ~calm(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) & calm(X0)))) [nnf transform... | 0 |
Everyone who is both not creative and funny is either kind or not quiet and vice versa. Everyone who is both not patient and patient is creative or funny and vice versa. Everyone who is wise or patient is both humble and not strong. If paul is not rich then someone is both not rich and kind. If someone is both not quie... | Fred is not strong. | contradiction | (![X]:((~creative(X)&funny(X))<=>(kind(X)<~>~quiet(X))))&
(![X]:((~patient(X)&patient(X))<=>(creative(X)|funny(X))))&
(![X]:((wise(X)|patient(X))=>(humble(X)&~strong(X))))&
((~rich(paul))=>(?[X]:((~rich(X)&kind(X)))))&
((?[X]:((~quiet(X)&strong(X))))=>((tall(lucy)|kind(lucy))))&
(![X]:(kind(X)=>(~strong(X)<~>~rich(X)))... | ~strong(fred) | [
"p0",
"p1",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 403973731045986700729356
% SZS output start Proof for 403973731045986700729356
1. ! [X0] : ((funny(X0) & ~creative(X0)) <=> (kind(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (funny(X0) | creative(X0))) [input p1]
11. ! [X0] : (~brave(X0) <=> (~rich(X0) & ... | 0 |
Everyone who is funny or humble is humble and vice versa.
Everyone who is not tall or not generous is not tall.
If someone is either not quiet or not creative then alice is not calm or not tall and vice versa.
Everyone who is both not funny and not curious is not generous or generous.
Everyone who is not calm is either... | Alice is not kind. | contradiction | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~tall(X)|~generous(X))=>~tall(X)))&
((?[X]:((~quiet(X)<~>~creative(X))))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humb... | ~kind(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 195002456194874236440106
% SZS output start Proof for 195002456194874236440106
14. ! [X0] : (~kind(X0) <=> (calm(X0) & ~calm(X0))) [input p13]
24. ~kind(alice) [input hypothesis]
54. ! [X0] : ((~kind(X0) | (~calm(X0) | calm(X0))) & ((calm(X0) & ~calm(X0)) | kind(X0))) [nnf transformation ... | 0 |
Everyone who is either wise or not strong is not strong and vice versa. Everyone who is not calm is quiet or not kind. If someone is both patient and not wise then lucy is not old and vice versa. If someone is both not humble and generous then someone is rich or brave. Everyone who is generous is either curious or not ... | Alice is not creative. | neutral | (![X]:((wise(X)<~>~strong(X))<=>~strong(X)))&
(![X]:(~calm(X)=>(quiet(X)|~kind(X))))&
((?[X]:((patient(X)&~wise(X))))<=>(~old(lucy)))&
((?[X]:((~humble(X)&generous(X))))=>(?[X]:((rich(X)|brave(X)))))&
(![X]:(generous(X)=>(curious(X)<~>~tall(X))))&
(![X]:((~humble(X)|~creative(X))=>~creative(X)))&
((?[X]:(calm(X)))<=>((... | ~creative(alice) | [] | null | 0 |
If lucy is both not kind and not tall then mary is either not brave or quiet.
If john is both not calm and not humble then someone is rich or not strong and vice versa.
If mary is both not kind and not rich then lucy is not brave and vice versa.
Everyone who is both not creative and not brave is not humble or tall and ... | Mary is not tall. | entailment | (((~kind(lucy)&~tall(lucy)))=>((~brave(mary)<~>quiet(mary))))&
(((~calm(john)&~humble(john)))<=>(?[X]:((rich(X)|~strong(X)))))&
(((~kind(mary)&~rich(mary)))<=>(~brave(lucy)))&
(![X]:((~creative(X)&~brave(X))<=>(~humble(X)|tall(X))))&
(((wise(paul)<~>~strong(paul)))<=>((~wise(mary)&~old(mary))))&
((?[X]:((~strong(X)&wis... | ~tall(mary) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 913702634633523544339855
% SZS output start Proof for 913702634633523544339855
4. ! [X0] : ((~brave(X0) & ~creative(X0)) <=> (tall(X0) | ~humble(X0))) [input p3]
10. ! [X0] : ((~creative(X0) | happy(X0)) <=> (funny(X0) & creative(X0))) [input p9]
21. tall(mary) [input hypothesis]
42. ! [X... | 0 |
Everyone who is either not happy or kind is either not calm or not generous. If paul is not patient or not old then mary is not tall or not happy and vice versa. Everyone who is both not happy and generous is not wise and vice versa. Everyone who is funny is calm or humble and vice versa. If lucy is both not tall and g... | Paul is happy. | neutral | (![X]:((~happy(X)<~>kind(X))=>(~calm(X)<~>~generous(X))))&
(((~patient(paul)|~old(paul)))<=>((~tall(mary)|~happy(mary))))&
(![X]:((~happy(X)&generous(X))<=>~wise(X)))&
(![X]:(funny(X)<=>(calm(X)|humble(X))))&
(((~tall(lucy)&generous(lucy)))<=>(?[X]:(~wise(X))))&
(![X]:((~quiet(X)&~brave(X))=>(creative(X)<~>curious(X)))... | happy(paul) | [] | null | 0 |
If susan is kind or not funny then someone is brave and vice versa.
Everyone who is not rich is tall and vice versa.
Everyone who is not tall is creative or patient and vice versa.
If someone is either creative or not humble then someone is not happy or old and vice versa.
Everyone who is both not generous and humble i... | Mary is curious. | neutral | (((kind(susan)|~funny(susan)))<=>(?[X]:(brave(X))))&
(![X]:(~rich(X)<=>tall(X)))&
(![X]:(~tall(X)<=>(creative(X)|patient(X))))&
((?[X]:((creative(X)<~>~humble(X))))<=>(?[X]:((~happy(X)|old(X)))))&
(![X]:((~generous(X)&humble(X))=>(happy(X)&brave(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~kind(X)&~curious(X))))&
((?[X]:... | curious(mary) | [] | null | 0 |
If someone is either not kind or not curious then someone is funny or not quiet and vice versa. If someone is not happy or happy then paul is not creative and vice versa. If mary is either brave or rich then someone is both not curious and quiet. If lucy is not wise or kind then someone is both not kind and wise. Every... | Paul is creative. | contradiction | ((?[X]:((~kind(X)<~>~curious(X))))<=>(?[X]:((funny(X)|~quiet(X)))))&
((?[X]:((~happy(X)|happy(X))))<=>(~creative(paul)))&
(((brave(mary)<~>rich(mary)))=>(?[X]:((~curious(X)&quiet(X)))))&
(((~wise(lucy)|kind(lucy)))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:((rich(X)<~>~generous(X))<=>(old(X)|~old(X))))&
((?[X]:((~wise(X)&~g... | creative(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1413879916710241148482462
% SZS output start Proof for 1413879916710241148482462
2. ? [X0] : (happy(X0) | ~happy(X0)) <=> ~creative(paul) [input p1]
25. creative(paul) [input hypothesis]
45. (? [X0] : (happy(X0) | ~happy(X0)) | creative(paul)) & (~creative(paul) | ! [X0] : (~happy(X0) & h... | 0 |
Everyone who is both not quiet and tall is not rich or curious.
If alice is both not tall and creative then someone is calm and vice versa.
If someone is quiet then someone is either not funny or strong.
Everyone who is both strong and not old is not rich or not happy and vice versa.
Everyone who is both brave and not ... | Alice is rich. | entailment | (![X]:((~quiet(X)&tall(X))=>(~rich(X)|curious(X))))&
(((~tall(alice)&creative(alice)))<=>(?[X]:(calm(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((strong(X)&~old(X))<=>(~rich(X)|~happy(X))))&
(![X]:((brave(X)&~tall(X))<=>(generous(X)|~calm(X))))&
(![X]:((~generous(X)&quiet(X))<=>(generous(X)<~>~... | rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7602399972157200414632479
% SZS output start Proof for 7602399972157200414632479
2. (creative(alice) & ~tall(alice)) <=> ? [X0] : calm(X0) [input p1]
4. ! [X0] : ((~old(X0) & strong(X0)) <=> (~happy(X0) | ~rich(X0))) [input p3]
5. ! [X0] : ((~tall(X0) & brave(X0)) <=> (~calm(X0) | generou... | 0 |
If someone is either not kind or not humble then fred is either strong or patient and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative... | Susan is strong. | entailment | ((?[X]:((~kind(X)<~>~humble(X))))<=>((strong(fred)<~>patient(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~... | strong(susan) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 309201631582533566834468
% SZS output start Proof for 309201631582533566834468
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~st... | 0 |
If someone is both kind and not happy then mary is both not humble and not strong and vice versa. Everyone who is rich or humble is patient and vice versa. If lucy is both funny and not creative then someone is either not quiet or wise and vice versa. If john is not wise then mary is both not funny and patient and vice... | Lucy is creative. | neutral | ((?[X]:((kind(X)&~happy(X))))<=>((~humble(mary)&~strong(mary))))&
(![X]:((rich(X)|humble(X))<=>patient(X)))&
(((funny(lucy)&~creative(lucy)))<=>(?[X]:((~quiet(X)<~>wise(X)))))&
((~wise(john))<=>((~funny(mary)&patient(mary))))&
(![X]:((~old(X)&~generous(X))=>(calm(X)&~patient(X))))&
(![X]:((generous(X)&~funny(X))<=>(~qu... | creative(lucy) | [] | null | 0 |
If someone is both not brave and not generous then alice is funny. Everyone who is not quiet is strong or old and vice versa. Everyone who is not funny or quiet is either not happy or not generous. If mary is not patient then paul is brave and vice versa. If lucy is rich or not happy then alice is not old. Everyone who... | John is funny. | neutral | ((?[X]:((~brave(X)&~generous(X))))=>(funny(alice)))&
(![X]:(~quiet(X)<=>(strong(X)|old(X))))&
(![X]:((~funny(X)|quiet(X))=>(~happy(X)<~>~generous(X))))&
((~patient(mary))<=>(brave(paul)))&
(((rich(lucy)|~happy(lucy)))=>(~old(alice)))&
(![X]:(funny(X)=>(~quiet(X)<~>tall(X))))&
(![X]:((curious(X)<~>~humble(X))=>~funny(X)... | funny(john) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.