premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is rich or humble then someone is either not rich or happy.
If fred is not strong then someone is both funny and happy and vice versa.
Everyone who is not patient or not strong is both tall and calm and vice versa.
Everyone who is not brave or not patient is wise or not humble and vice versa.
Everyone who is... | Lucy is not old. | entailment | ((?[X]:((rich(X)|humble(X))))=>(?[X]:((~rich(X)<~>happy(X)))))&
((~strong(fred))<=>(?[X]:((funny(X)&happy(X)))))&
(![X]:((~patient(X)|~strong(X))<=>(tall(X)&calm(X))))&
(![X]:((~brave(X)|~patient(X))<=>(wise(X)|~humble(X))))&
(![X]:((~calm(X)|~curious(X))<=>(humble(X)&~calm(X))))&
(![X]:(funny(X)<=>(generous(X)|~creati... | ~old(lucy) | [
"p2",
"p4",
"p7",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7070151317261190156764114
% SZS output start Proof for 7070151317261190156764114
3. ! [X0] : ((~strong(X0) | ~patient(X0)) <=> (calm(X0) & tall(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (~calm(X0) & humble(X0))) [input p4]
8. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (~... | 0 |
Everyone who is creative or not happy is both not tall and calm and vice versa.
Everyone who is not curious is either not happy or not brave and vice versa.
Everyone who is curious is not generous or not creative.
Everyone who is either not calm or not brave is both patient and not kind.
Everyone who is not patient is ... | Alice is not funny. | contradiction | (![X]:((creative(X)|~happy(X))<=>(~tall(X)&calm(X))))&
(![X]:(~curious(X)<=>(~happy(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~generous(X)|~creative(X))))&
(![X]:((~calm(X)<~>~brave(X))=>(patient(X)&~kind(X))))&
(![X]:(~patient(X)<=>(~wise(X)<~>humble(X))))&
((?[X]:((~happy(X)<~>~strong(X))))=>(funny(alice)))&
(![X]:(~fun... | ~funny(alice) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8647528365504213786727978
% SZS output start Proof for 8647528365504213786727978
1. ! [X0] : ((~happy(X0) | creative(X0)) <=> (calm(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((~calm(X0) <~> ~brave(X0)) => (~kind(X0) & patient(X0))) [input p3]
5. ! [X0] : (~patient(X0) <=> (~wise(X0) <~> hu... | 0 |
Everyone who is either humble or not tall is either not happy or humble.
Everyone who is not curious is happy.
If paul is not tall or tall then mary is not wise or strong.
If susan is either strong or not generous then mary is wise.
If someone is kind then fred is patient or creative.
Everyone who is calm is both old a... | Susan is strong. | neutral | (![X]:((humble(X)<~>~tall(X))=>(~happy(X)<~>humble(X))))&
(![X]:(~curious(X)=>happy(X)))&
(((~tall(paul)|tall(paul)))=>((~wise(mary)|strong(mary))))&
(((strong(susan)<~>~generous(susan)))=>(wise(mary)))&
((?[X]:(kind(X)))=>((patient(fred)|creative(fred))))&
(![X]:(calm(X)<=>(old(X)&~calm(X))))&
(![X]:((strong(X)&~gener... | strong(susan) | [] | null | 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... | Lucy is not patient. | neutral | ((?[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))))=>((~... | ~patient(lucy) | [] | null | 0 |
If someone is kind then john is either tall or not patient. If someone is calm then someone is not rich or not creative. Everyone who is not kind is either not patient or creative. If alice is either not wise or not patient then susan is patient or generous. If paul is not old or humble then mary is not curious or not ... | Paul is not tall. | entailment | ((?[X]:(kind(X)))=>((tall(john)<~>~patient(john))))&
((?[X]:(calm(X)))=>(?[X]:((~rich(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>creative(X))))&
(((~wise(alice)<~>~patient(alice)))=>((patient(susan)|generous(susan))))&
(((~old(paul)|humble(paul)))=>((~curious(mary)|~brave(mary))))&
(![X]:(~humble(X)=>(generou... | ~tall(paul) | [
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6710272254430462427748022
% SZS output start Proof for 6710272254430462427748022
10. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (tall(X0) <~> wise(X0))) [input p9]
14. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (tall(X0) | ~old(X0))) [input p13]
23. ~wise(paul) | happy(paul) [input p22]
25. tal... | 0 |
Everyone who is happy is not funny or old.
If fred is not old or funny then susan is either wise or rich and vice versa.
Everyone who is either not patient or brave is rich or kind.
Everyone who is both not generous and happy is both calm and wise.
Everyone who is either wise or not curious is either not wise or genero... | Fred is not rich. | neutral | (![X]:(happy(X)=>(~funny(X)|old(X))))&
(((~old(fred)|funny(fred)))<=>((wise(susan)<~>rich(susan))))&
(![X]:((~patient(X)<~>brave(X))=>(rich(X)|kind(X))))&
(![X]:((~generous(X)&happy(X))=>(calm(X)&wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(~wise(X)<~>generous(X))))&
(![X]:((kind(X)&creative(X))<=>(~kind(X)&funny(X))))... | ~rich(fred) | [] | null | 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... | Mary is curious. | entailment | (![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... | curious(mary) | [
"p0",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1821788120524434419167398
% SZS output start Proof for 1821788120524434419167398
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
8. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p7]
9. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0))... | 0 |
If mary is not funny then someone is not rich or not strong and vice versa. Everyone who is quiet or generous is both not wise and generous. Everyone who is funny or not quiet is either wise or not old and vice versa. If someone is generous or not tall then lucy is not quiet. Everyone who is not brave is both not funny... | Alice is not happy. | entailment | ((~funny(mary))<=>(?[X]:((~rich(X)|~strong(X)))))&
(![X]:((quiet(X)|generous(X))=>(~wise(X)&generous(X))))&
(![X]:((funny(X)|~quiet(X))<=>(wise(X)<~>~old(X))))&
((?[X]:((generous(X)|~tall(X))))=>(~quiet(lucy)))&
(![X]:(~brave(X)<=>(~funny(X)&~generous(X))))&
(![X]:(creative(X)<=>(~curious(X)&curious(X))))&
((?[X]:(tall... | ~happy(alice) | [
"p4",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1834389950280672044547327
% SZS output start Proof for 1834389950280672044547327
5. ! [X0] : (~brave(X0) <=> (~generous(X0) & ~funny(X0))) [input p4]
11. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> ~brave(X0)) [input p10]
12. ! [X0] : ((~creative(X0) & ~humble(X0)) <=> (rich(X0) | happy(X... | 0 |
If susan is quiet then susan is either not old or humble and vice versa. If someone is patient then susan is either not generous or happy. Everyone who is rich is both not calm and not kind and vice versa. Everyone who is either generous or not humble is both not humble and creative and vice versa. If someone is either... | Paul is tall. | entailment | ((quiet(susan))<=>((~old(susan)<~>humble(susan))))&
((?[X]:(patient(X)))=>((~generous(susan)<~>happy(susan))))&
(![X]:(rich(X)<=>(~calm(X)&~kind(X))))&
(![X]:((generous(X)<~>~humble(X))<=>(~humble(X)&creative(X))))&
((?[X]:((humble(X)<~>patient(X))))<=>(?[X]:((~quiet(X)|kind(X)))))&
(((wise(susan)|patient(susan)))<=>((... | tall(paul) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5839632085091185024118530
% SZS output start Proof for 5839632085091185024118530
9. (~quiet(mary) & ~rich(mary)) <=> ? [X0] : (~strong(X0) | ~tall(X0)) [input p8]
17. rich(mary) [input p16]
24. ~tall(paul) [input hypothesis]
54. ((~quiet(mary) & ~rich(mary)) | ! [X0] : (strong(X0) & tall(... | 0 |
If someone is not generous or not creative then susan is either not tall or calm and vice versa. If alice is both generous and not strong then someone is not kind or generous. If mary is either not brave or rich then john is either kind or curious. If someone is happy or not strong then paul is calm or not calm. Everyo... | Paul is not calm. | contradiction | ((?[X]:((~generous(X)|~creative(X))))<=>((~tall(susan)<~>calm(susan))))&
(((generous(alice)&~strong(alice)))=>(?[X]:((~kind(X)|generous(X)))))&
(((~brave(mary)<~>rich(mary)))=>((kind(john)<~>curious(john))))&
((?[X]:((happy(X)|~strong(X))))=>((calm(paul)|~calm(paul))))&
(![X]:((tall(X)&generous(X))=>~humble(X)))&
(![X]... | ~calm(paul) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6689314773184931886793376
% SZS output start Proof for 6689314773184931886793376
1. ? [X0] : (~creative(X0) | ~generous(X0)) <=> (~tall(susan) <~> calm(susan)) [input p0]
5. ! [X0] : ((generous(X0) & tall(X0)) => ~humble(X0)) [input p4]
7. ! [X0] : (~patient(X0) <=> creative(X0)) [input p... | 0 |
If mary is either tall or not kind then someone is old.
Everyone who is strong or generous is old and vice versa.
Everyone who is both not old and wise is both humble and funny and vice versa.
Everyone who is both generous and not quiet is not happy or not quiet.
If alice is either tall or not humble then alice is eith... | Lucy is patient. | entailment | (((tall(mary)<~>~kind(mary)))=>(?[X]:(old(X))))&
(![X]:((strong(X)|generous(X))<=>old(X)))&
(![X]:((~old(X)&wise(X))<=>(humble(X)&funny(X))))&
(![X]:((generous(X)&~quiet(X))=>(~happy(X)|~quiet(X))))&
(((tall(alice)<~>~humble(alice)))<=>((~funny(alice)<~>funny(alice))))&
(![X]:((creative(X)|tall(X))<=>(generous(X)&~funn... | patient(lucy) | [
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3953392999530997322457478
% SZS output start Proof for 3953392999530997322457478
6. ! [X0] : ((tall(X0) | creative(X0)) <=> (~funny(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p6]
9. ! [X0] : ((happy(X0) <~> ~quiet(X0)) => (~... | 0 |
Everyone who is not old is either not strong or not creative and vice versa.
Everyone who is generous or not kind is either kind or creative.
Everyone who is either generous or not brave is either old or not old and vice versa.
If someone is wise then paul is humble.
If someone is both tall and kind then someone is kin... | Fred is brave. | contradiction | (![X]:(~old(X)<=>(~strong(X)<~>~creative(X))))&
(![X]:((generous(X)|~kind(X))=>(kind(X)<~>creative(X))))&
(![X]:((generous(X)<~>~brave(X))<=>(old(X)<~>~old(X))))&
((?[X]:(wise(X)))=>(humble(paul)))&
((?[X]:((tall(X)&kind(X))))<=>(?[X]:(kind(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((old(X)&funny(X)))))&
(((~generous(alice)|~h... | brave(fred) | [
"p1",
"p2",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5060039050906527754589034
% SZS output start Proof for 5060039050906527754589034
2. ! [X0] : ((~kind(X0) | generous(X0)) => (kind(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((generous(X0) <~> ~brave(X0)) <=> (old(X0) <~> ~old(X0))) [input p2]
9. creative(fred) <=> ? [X0] : (kind(X0) | ... | 0 |
Everyone who is not tall is both not wise and not funny.
Everyone who is both not creative and wise is not brave.
Everyone who is not rich is either not tall or not calm and vice versa.
Everyone who is either happy or not tall is either curious or happy and vice versa.
Everyone who is both not humble and not wise is ei... | Alice is patient. | neutral | (![X]:(~tall(X)=>(~wise(X)&~funny(X))))&
(![X]:((~creative(X)&wise(X))=>~brave(X)))&
(![X]:(~rich(X)<=>(~tall(X)<~>~calm(X))))&
(![X]:((happy(X)<~>~tall(X))<=>(curious(X)<~>happy(X))))&
(![X]:((~humble(X)&~wise(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:(~humble(X)<=>(~patient(X)&kind(X))))&
(![X]:((~curious(X)&calm(X))<=>(... | patient(alice) | [] | null | 0 |
If someone is either not quiet or not humble then lucy is both happy and not curious. If someone is either not quiet or not curious then someone is not curious. Everyone who is both not strong and not quiet is either happy or not rich and vice versa. Everyone who is generous is not quiet or not calm and vice versa. Eve... | Fred is not rich. | contradiction | ((?[X]:((~quiet(X)<~>~humble(X))))=>((happy(lucy)&~curious(lucy))))&
((?[X]:((~quiet(X)<~>~curious(X))))=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)&~quiet(X))<=>(happy(X)<~>~rich(X))))&
(![X]:(generous(X)<=>(~quiet(X)|~calm(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(patient(X)&humble(X))))&
(![X]:((funny(X)|brave(X))<=>calm... | ~rich(fred) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 910163096811705469447201
% SZS output start Proof for 910163096811705469447201
3. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> (happy(X0) <~> ~rich(X0))) [input p2]
5. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (humble(X0) & patient(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) | humble(X0)) => (~fun... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. If john is rich then someone is not creative or not brave and vice versa. Everyone who is both not calm and wise is both not strong and curious and vice versa. If alice is both strong and old then susan is calm. Everyone who is both ge... | Susan is not kind. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~kind(susan) | [
"p0",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6625594589858815591870414
% SZS output start Proof for 6625594589858815591870414
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
6. ! [X0] : ((~kind(X0) <~> tall(X0)) <=> (~strong(X0) <~> tall(X0))) [input p5]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~t... | 0 |
Everyone who is generous or old is both not calm and generous and vice versa. If someone is either not wise or happy then alice is not patient and vice versa. Everyone who is either generous or old is rich and vice versa. If lucy is both rich and not old then someone is not brave. Everyone who is either not brave or no... | Paul is not happy. | neutral | (![X]:((generous(X)|old(X))<=>(~calm(X)&generous(X))))&
((?[X]:((~wise(X)<~>happy(X))))<=>(~patient(alice)))&
(![X]:((generous(X)<~>old(X))<=>rich(X)))&
(((rich(lucy)&~old(lucy)))=>(?[X]:(~brave(X))))&
(![X]:((~brave(X)<~>~quiet(X))<=>old(X)))&
(![X]:((~brave(X)&wise(X))<=>(~funny(X)|happy(X))))&
((?[X]:((calm(X)|patie... | ~happy(paul) | [] | null | 0 |
Everyone who is calm is not patient.
If someone is wise or rich then someone is both rich and not quiet.
If alice is not wise or quiet then someone is both generous and not brave and vice versa.
Everyone who is not brave or not old is both creative and patient.
Everyone who is generous or brave is not rich and vice ver... | Alice is wise. | contradiction | (![X]:(calm(X)=>~patient(X)))&
((?[X]:((wise(X)|rich(X))))=>(?[X]:((rich(X)&~quiet(X)))))&
(((~wise(alice)|quiet(alice)))<=>(?[X]:((generous(X)&~brave(X)))))&
(![X]:((~brave(X)|~old(X))=>(creative(X)&patient(X))))&
(![X]:((generous(X)|brave(X))<=>~rich(X)))&
(![X]:((~funny(X)&~generous(X))=>(rich(X)|~curious(X))))&
((?... | wise(alice) | [
"p1",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3749791297035796292579146
% SZS output start Proof for 3749791297035796292579146
2. ? [X0] : (rich(X0) | wise(X0)) => ? [X0] : (~quiet(X0) & rich(X0)) [input p1]
4. ! [X0] : ((~old(X0) | ~brave(X0)) => (patient(X0) & creative(X0))) [input p3]
5. ! [X0] : ((brave(X0) | generous(X0)) <=> ~r... | 0 |
If john is both not tall and not old then paul is happy and vice versa.
If someone is not humble then someone is not generous or not wise.
Everyone who is not strong is both not kind and tall.
If susan is either not happy or wise then lucy is either not generous or creative.
If john is humble or patient then lucy is no... | Susan is wise. | neutral | (((~tall(john)&~old(john)))<=>(happy(paul)))&
((?[X]:(~humble(X)))=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:(~strong(X)=>(~kind(X)&tall(X))))&
(((~happy(susan)<~>wise(susan)))=>((~generous(lucy)<~>creative(lucy))))&
(((humble(john)|patient(john)))=>(~humble(lucy)))&
(![X]:((humble(X)|~kind(X))=>(brave(X)&~happy(X))))&... | wise(susan) | [] | null | 0 |
Everyone who is either not brave or not kind is either not funny or not generous and vice versa.
Everyone who is happy is both calm and not humble.
Everyone who is not rich is not wise or not curious.
If someone is both rich and calm then someone is both curious and not quiet.
If someone is not rich or not curious then... | Alice is not rich. | contradiction | (![X]:((~brave(X)<~>~kind(X))<=>(~funny(X)<~>~generous(X))))&
(![X]:(happy(X)=>(calm(X)&~humble(X))))&
(![X]:(~rich(X)=>(~wise(X)|~curious(X))))&
((?[X]:((rich(X)&calm(X))))=>(?[X]:((curious(X)&~quiet(X)))))&
((?[X]:((~rich(X)|~curious(X))))<=>((~patient(susan)|patient(susan))))&
(![X]:((strong(X)<~>~calm(X))<=>(~happy... | ~rich(alice) | [
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3750834415426186102612723
% SZS output start Proof for 3750834415426186102612723
14. ! [X0] : ((~curious(X0) | ~humble(X0)) => rich(X0)) [input p13]
15. ! [X0] : ((~old(X0) | ~patient(X0)) <=> (~quiet(X0) & quiet(X0))) [input p14]
18. ~old(alice) <~> ~humble(alice) [input p17]
25. ~rich(a... | 0 |
If mary is not generous then someone is both not funny and tall and vice versa.
If someone is not generous or quiet then john is old and vice versa.
Everyone who is both not humble and not generous is both humble and not strong.
If john is either not creative or not rich then fred is not happy and vice versa.
If someon... | Fred is tall. | neutral | ((~generous(mary))<=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:((~generous(X)|quiet(X))))<=>(old(john)))&
(![X]:((~humble(X)&~generous(X))=>(humble(X)&~strong(X))))&
(((~creative(john)<~>~rich(john)))<=>(~happy(fred)))&
((?[X]:(brave(X)))<=>((~creative(john)<~>~patient(john))))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((~qu... | tall(fred) | [] | null | 0 |
If john is not happy then someone is either tall or kind.
Everyone who is both wise and funny is not funny or rich.
If mary is both not calm and not humble then mary is both not quiet and quiet.
If someone is both patient and kind then someone is not wise or not calm.
Everyone who is rich or not happy is either not fun... | John is not patient. | contradiction | ((~happy(john))=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((wise(X)&funny(X))=>(~funny(X)|rich(X))))&
(((~calm(mary)&~humble(mary)))=>((~quiet(mary)&quiet(mary))))&
((?[X]:((patient(X)&kind(X))))=>(?[X]:((~wise(X)|~calm(X)))))&
(![X]:((rich(X)|~happy(X))=>(~funny(X)<~>~brave(X))))&
(((~calm(lucy)<~>humble(lucy)))<=>(?[X]:(... | ~patient(john) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7363224196398846939202908
% SZS output start Proof for 7363224196398846939202908
8. ! [X0] : (strong(X0) => (humble(X0) & patient(X0))) [input p7]
13. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (rich(X0) & strong(X0))) [input p12]
23. ~patient(john) [input hypothesis]
35. ! [X0] : ((humb... | 0 |
Everyone who is not quiet or rich is either not calm or not rich. If someone is humble then alice is both not quiet and not happy and vice versa. Everyone who is either wise or funny is rich or not quiet. Everyone who is either not creative or strong is old. If someone is not quiet then mary is not kind. Everyone who i... | Fred is tall. | contradiction | (![X]:((~quiet(X)|rich(X))=>(~calm(X)<~>~rich(X))))&
((?[X]:(humble(X)))<=>((~quiet(alice)&~happy(alice))))&
(![X]:((wise(X)<~>funny(X))=>(rich(X)|~quiet(X))))&
(![X]:((~creative(X)<~>strong(X))=>old(X)))&
((?[X]:(~quiet(X)))=>(~kind(mary)))&
(![X]:(~wise(X)<=>~patient(X)))&
(((creative(mary)&~quiet(mary)))<=>(?[X]:(~p... | tall(fred) | [
"p5",
"p6",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5251685191192157261448103
% SZS output start Proof for 5251685191192157261448103
6. ! [X0] : (~wise(X0) <=> ~patient(X0)) [input p5]
7. (~quiet(mary) & creative(mary)) <=> ? [X0] : ~patient(X0) [input p6]
14. ! [X0] : ((happy(X0) <~> ~rich(X0)) <=> happy(X0)) [input p13]
15. ! [X0] : ((~f... | 0 |
If someone is both strong and patient then someone is either not quiet or not wise.
Everyone who is rich is kind and vice versa.
Everyone who is both old and not patient is both wise and kind.
If someone is either not quiet or not old then someone is not happy.
Everyone who is not happy or not strong is either not crea... | Lucy is not patient. | neutral | ((?[X]:((strong(X)&patient(X))))=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(![X]:(rich(X)<=>kind(X)))&
(![X]:((old(X)&~patient(X))=>(wise(X)&kind(X))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~happy(X))))&
(![X]:((~happy(X)|~strong(X))=>(~creative(X)<~>rich(X))))&
(![X]:((~funny(X)<~>wise(X))=>rich(X)))&
((?[X]:((~patient(X)... | ~patient(lucy) | [] | null | 0 |
If someone is both tall and kind then someone is either not brave or kind.
If someone is not funny then fred is either old or not rich.
If paul is either not quiet or not creative then john is not happy or happy and vice versa.
Everyone who is creative or not calm is not kind or not curious and vice versa.
Everyone who... | Mary is happy. | entailment | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
((?[X]:(~funny(X)))=>((old(fred)<~>~rich(fred))))&
(((~quiet(paul)<~>~creative(paul)))<=>((~happy(john)|happy(john))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X... | happy(mary) | [
"p3",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 11463769576783247276628
% SZS output start Proof for 11463769576783247276628
4. ! [X0] : ((~calm(X0) | creative(X0)) <=> (~curious(X0) | ~kind(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | ~generous(X0)) <=> (funny(X0) <~> patient(X0))) [input p10]
15. ! [X0] : ((~funny(X0) & ~curious(X0)) ... | 0 |
If paul is both not generous and not curious then lucy is both not funny and not creative and vice versa.
If someone is curious or not tall then someone is both not quiet and not kind and vice versa.
If paul is not generous then fred is both not humble and old.
If alice is both not old and happy then mary is both gener... | Fred is not creative. | neutral | (((~generous(paul)&~curious(paul)))<=>((~funny(lucy)&~creative(lucy))))&
((?[X]:((curious(X)|~tall(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
((~generous(paul))=>((~humble(fred)&old(fred))))&
(((~old(alice)&happy(alice)))<=>((generous(mary)&~funny(mary))))&
(![X]:((~kind(X)<~>old(X))=>(~creative(X)|calm(X))))&
(![X]:((~ha... | ~creative(fred) | [] | null | 0 |
If mary is not wise or not generous then someone is generous and vice versa.
Everyone who is both tall and generous is generous and vice versa.
If lucy is not generous then someone is generous or not rich.
If someone is not curious then mary is kind or brave.
Everyone who is either not humble or kind is not patient.
If... | Mary is not humble. | neutral | (((~wise(mary)|~generous(mary)))<=>(?[X]:(generous(X))))&
(![X]:((tall(X)&generous(X))<=>generous(X)))&
((~generous(lucy))=>(?[X]:((generous(X)|~rich(X)))))&
((?[X]:(~curious(X)))=>((kind(mary)|brave(mary))))&
(![X]:((~humble(X)<~>kind(X))=>~patient(X)))&
((?[X]:((~kind(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((qui... | ~humble(mary) | [] | null | 0 |
Everyone who is both not quiet and not generous is both rich and not funny and vice versa. Everyone who is curious or not wise is creative or tall. Everyone who is both not kind and not calm is both strong and not quiet. Everyone who is rich is not patient or happy and vice versa. If someone is both curious and not old... | John is not strong. | entailment | (![X]:((~quiet(X)&~generous(X))<=>(rich(X)&~funny(X))))&
(![X]:((curious(X)|~wise(X))=>(creative(X)|tall(X))))&
(![X]:((~kind(X)&~calm(X))=>(strong(X)&~quiet(X))))&
(![X]:(rich(X)<=>(~patient(X)|happy(X))))&
((?[X]:((curious(X)&~old(X))))<=>((calm(alice)|~brave(alice))))&
(![X]:(brave(X)<=>(~brave(X)<~>~generous(X))))&... | ~strong(john) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1398216561648386414301470
% SZS output start Proof for 1398216561648386414301470
1. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (~funny(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | curious(X0)) => (tall(X0) | creative(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (happy(X0) | ~patien... | 0 |
If paul is either not tall or curious then someone is either rich or happy. Everyone who is either wise or strong is not quiet. If someone is not happy then lucy is both not patient and not generous and vice versa. Everyone who is tall is both not happy and rich and vice versa. Everyone who is both strong and happy is ... | John is not generous. | neutral | (((~tall(paul)<~>curious(paul)))=>(?[X]:((rich(X)<~>happy(X)))))&
(![X]:((wise(X)<~>strong(X))=>~quiet(X)))&
((?[X]:(~happy(X)))<=>((~patient(lucy)&~generous(lucy))))&
(![X]:(tall(X)<=>(~happy(X)&rich(X))))&
(![X]:((strong(X)&happy(X))=>(~wise(X)|~quiet(X))))&
((?[X]:((funny(X)<~>curious(X))))=>((~generous(alice)&gener... | ~generous(john) | [] | null | 0 |
If fred is not happy or not old then someone is either not brave or not generous and vice versa. If someone is happy or not creative then alice is not old. If someone is not tall or not generous then someone is both kind and curious. Everyone who is not happy or brave is not creative and vice versa. Everyone who is eit... | Lucy is quiet. | contradiction | (((~happy(fred)|~old(fred)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:((happy(X)|~creative(X))))=>(~old(alice)))&
((?[X]:((~tall(X)|~generous(X))))=>(?[X]:((kind(X)&curious(X)))))&
(![X]:((~happy(X)|brave(X))<=>~creative(X)))&
(![X]:((~creative(X)<~>funny(X))=>(kind(X)&patient(X))))&
((?[X]:(~patient(X)))=>(?[X]:... | quiet(lucy) | [
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7282277654016911569287785
% SZS output start Proof for 7282277654016911569287785
4. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~creative(X0)) [input p3]
9. ! [X0] : ((old(X0) | ~kind(X0)) => (~wise(X0) & ~quiet(X0))) [input p8]
16. ! [X0] : (kind(X0) => (creative(X0) & brave(X0))) [input p15]... | 0 |
If alice is both not generous and rich then someone is not patient and vice versa. Everyone who is funny or generous is not funny and vice versa. Everyone who is both not tall and happy is kind. Everyone who is either not calm or humble is not generous or calm. If someone is either happy or not calm then someone is eit... | Fred is not brave. | neutral | (((~generous(alice)&rich(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)|generous(X))<=>~funny(X)))&
(![X]:((~tall(X)&happy(X))=>kind(X)))&
(![X]:((~calm(X)<~>humble(X))=>(~generous(X)|calm(X))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((strong(alice)&~tall(alice)))<=>((~wise(susan)|~gen... | ~brave(fred) | [] | null | 0 |
If john is funny or quiet then someone is not strong or not quiet.
If someone is patient then mary is not quiet or not kind.
Everyone who is curious is either curious or not humble.
If someone is both not tall and not kind then someone is both strong and generous.
Everyone who is not brave or not curious is tall or not... | Fred is quiet. | neutral | (((funny(john)|quiet(john)))=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:(patient(X)))=>((~quiet(mary)|~kind(mary))))&
(![X]:(curious(X)=>(curious(X)<~>~humble(X))))&
((?[X]:((~tall(X)&~kind(X))))=>(?[X]:((strong(X)&generous(X)))))&
(![X]:((~brave(X)|~curious(X))=>(tall(X)|~old(X))))&
(![X]:((~old(X)<~>quiet(X))<=>(quiet... | quiet(fred) | [] | null | 0 |
Everyone who is both happy and not creative is not funny. Everyone who is both not happy and not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is no... | Fred is not old. | contradiction | (![X]:((happy(X)&~creative(X))=>~funny(X)))&
(![X]:((~happy(X)&~wise(X))<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happ... | ~old(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7894644936880032607965371
% SZS output start Proof for 7894644936880032607965371
13. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p12]
24. ~old(fred) [input hypothesis]
25. ? [X0] : (~old(X0) | quiet(X0)) => ? [X1] : (wise(X1) & ~wise(X1)) [rectify 13]
35. ? [... | 0 |
Everyone who is not humble is both curious and rich and vice versa.
If someone is not brave or not generous then someone is both not funny and kind.
Everyone who is either happy or humble is either not brave or strong and vice versa.
If john is either not happy or not curious then john is rich or not curious and vice v... | John is funny. | neutral | (![X]:(~humble(X)<=>(curious(X)&rich(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((~funny(X)&kind(X)))))&
(![X]:((happy(X)<~>humble(X))<=>(~brave(X)<~>strong(X))))&
(((~happy(john)<~>~curious(john)))<=>((rich(john)|~curious(john))))&
(![X]:(happy(X)<=>(creative(X)&~curious(X))))&
(![X]:(tall(X)=>~creative(X)))&
(!... | funny(john) | [] | null | 0 |
If someone is either not tall or not happy then susan is either funny or not calm and vice versa. Everyone who is both not tall and rich is not brave or funny and vice versa. Everyone who is either not old or not brave is both not curious and patient. If someone is not kind or patient then someone is patient or tall. E... | Paul is not kind. | contradiction | ((?[X]:((~tall(X)<~>~happy(X))))<=>((funny(susan)<~>~calm(susan))))&
(![X]:((~tall(X)&rich(X))<=>(~brave(X)|funny(X))))&
(![X]:((~old(X)<~>~brave(X))=>(~curious(X)&patient(X))))&
((?[X]:((~kind(X)|patient(X))))=>(?[X]:((patient(X)|tall(X)))))&
(![X]:((strong(X)&~brave(X))=>(kind(X)<~>old(X))))&
((~humble(paul))=>((~hum... | ~kind(paul) | [
"p1",
"p2",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 151640460198948874409473
% SZS output start Proof for 151640460198948874409473
2. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (funny(X0) | ~brave(X0))) [input p1]
3. ! [X0] : ((~old(X0) <~> ~brave(X0)) => (patient(X0) & ~curious(X0))) [input p2]
13. ! [X0] : (~kind(X0) => (curious(X0) & ~rich(X0... | 0 |
If someone is not kind then paul is both rich and funny.
Everyone who is not happy or not curious is happy.
If someone is not patient then someone is either quiet or tall.
If alice is both brave and creative then lucy is both not funny and not old and vice versa.
Everyone who is brave is calm or not old and vice versa.... | Lucy is calm. | contradiction | ((?[X]:(~kind(X)))=>((rich(paul)&funny(paul))))&
(![X]:((~happy(X)|~curious(X))=>happy(X)))&
((?[X]:(~patient(X)))=>(?[X]:((quiet(X)<~>tall(X)))))&
(((brave(alice)&creative(alice)))<=>((~funny(lucy)&~old(lucy))))&
(![X]:(brave(X)<=>(calm(X)|~old(X))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((happy(X)&calm(X)))))&
(![... | calm(lucy) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4931336042624899681919702
% SZS output start Proof for 4931336042624899681919702
13. ! [X0] : (~creative(X0) <=> (humble(X0) & ~humble(X0))) [input p12]
19. ~calm(lucy) | ~creative(lucy) [input p18]
25. calm(lucy) [input hypothesis]
60. ! [X0] : ((~creative(X0) | (~humble(X0) | humble(X0)... | 0 |
Everyone who is rich or patient is not brave or happy.
Everyone who is either humble or not rich is either patient or not happy.
Everyone who is either rich or not generous is old.
Everyone who is not quiet or rich is curious or not wise.
Everyone who is generous or not brave is both quiet and generous.
If fred is eith... | Susan is not funny. | entailment | (![X]:((rich(X)|patient(X))=>(~brave(X)|happy(X))))&
(![X]:((humble(X)<~>~rich(X))=>(patient(X)<~>~happy(X))))&
(![X]:((rich(X)<~>~generous(X))=>old(X)))&
(![X]:((~quiet(X)|rich(X))=>(curious(X)|~wise(X))))&
(![X]:((generous(X)|~brave(X))=>(quiet(X)&generous(X))))&
(((generous(fred)<~>patient(fred)))<=>((~old(paul)<~>~... | ~funny(susan) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2110001158379915956722886
% SZS output start Proof for 2110001158379915956722886
12. ! [X0] : ((wise(X0) | funny(X0)) <=> curious(X0)) [input p11]
17. ~curious(susan) & ~wise(susan) [input p16]
25. funny(susan) [input hypothesis]
62. ! [X0] : (((wise(X0) | funny(X0)) | ~curious(X0)) & (cu... | 0 |
If john is either kind or not wise then someone is both quiet and happy. If someone is not wise or not brave then someone is not creative or not funny and vice versa. If someone is tall then fred is creative or tall and vice versa. Everyone who is not rich is rich or not creative and vice versa. Everyone who is not pat... | Mary is rich. | contradiction | (((kind(john)<~>~wise(john)))=>(?[X]:((quiet(X)&happy(X)))))&
((?[X]:((~wise(X)|~brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
((?[X]:(tall(X)))<=>((creative(fred)|tall(fred))))&
(![X]:(~rich(X)<=>(rich(X)|~creative(X))))&
(![X]:(~patient(X)<=>old(X)))&
(![X]:((~strong(X)&~quiet(X))=>(~happy(X)|creative(X))))&
(![X... | rich(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5629615091976878897126344
% SZS output start Proof for 5629615091976878897126344
4. ! [X0] : (~rich(X0) <=> (~creative(X0) | rich(X0))) [input p3]
23. rich(mary) [input hypothesis]
50. ! [X0] : ((~rich(X0) | (creative(X0) & ~rich(X0))) & ((~creative(X0) | rich(X0)) | rich(X0))) [nnf trans... | 0 |
If someone is not calm then someone is either not calm or tall. If someone is old or not patient then someone is both not old and humble. Everyone who is not patient or not generous is either not calm or not wise. If susan is generous or not strong then someone is not funny. If someone is either not patient or not curi... | Susan is creative. | neutral | ((?[X]:(~calm(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~patient(X)|~generous(X))=>(~calm(X)<~>~wise(X))))&
(((generous(susan)|~strong(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(?[X]:((wise(X)&~calm(X)))))&
(((~kind(mary)&~o... | creative(susan) | [] | null | 0 |
Everyone who is not humble is either not quiet or wise. Everyone who is calm is not brave. If someone is old or creative then someone is either not patient or patient and vice versa. If someone is both not brave and not patient then fred is either not rich or wise. Everyone who is either not strong or quiet is either n... | Lucy is not strong. | contradiction | (![X]:(~humble(X)=>(~quiet(X)<~>wise(X))))&
(![X]:(calm(X)=>~brave(X)))&
((?[X]:((old(X)|creative(X))))<=>(?[X]:((~patient(X)<~>patient(X)))))&
((?[X]:((~brave(X)&~patient(X))))=>((~rich(fred)<~>wise(fred))))&
(![X]:((~strong(X)<~>quiet(X))=>(~strong(X)<~>patient(X))))&
(((wise(alice)<~>brave(alice)))=>(?[X]:(brave(X))... | ~strong(lucy) | [
"p1",
"p7",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7888547526339041738281152
% SZS output start Proof for 7888547526339041738281152
2. ! [X0] : (calm(X0) => ~brave(X0)) [input p1]
8. ! [X0] : ((~strong(X0) <~> kind(X0)) => (old(X0) & curious(X0))) [input p7]
11. (wise(lucy) | funny(lucy)) => (calm(lucy) <~> kind(lucy)) [input p10]
15. ! [... | 0 |
Everyone who is both curious and not creative is not funny and vice versa.
Everyone who is not funny is not rich and vice versa.
If someone is wise or quiet then someone is either patient or not strong.
Everyone who is either tall or not strong is not creative and vice versa.
If someone is both not humble and generous ... | Fred is not curious. | contradiction | (![X]:((curious(X)&~creative(X))<=>~funny(X)))&
(![X]:(~funny(X)<=>~rich(X)))&
((?[X]:((wise(X)|quiet(X))))=>(?[X]:((patient(X)<~>~strong(X)))))&
(![X]:((tall(X)<~>~strong(X))<=>~creative(X)))&
((?[X]:((~humble(X)&generous(X))))=>((~happy(fred)&patient(fred))))&
(((~creative(john)&wise(john)))<=>(?[X]:((~quiet(X)<~>cal... | ~curious(fred) | [
"p0",
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1349258997707276193714461
% SZS output start Proof for 1349258997707276193714461
1. ! [X0] : ((~creative(X0) & curious(X0)) <=> ~funny(X0)) [input p0]
2. ! [X0] : (~funny(X0) <=> ~rich(X0)) [input p1]
21. wise(fred) & ~rich(fred) [input p20]
25. ~curious(fred) [input hypothesis]
36. ! [X0... | 0 |
Everyone who is either strong or old is both not curious and not brave and vice versa.
Everyone who is either kind or old is quiet and vice versa.
If someone is both quiet and creative then someone is not kind and vice versa.
Everyone who is brave or not humble is quiet.
Everyone who is either not rich or strong is cal... | Lucy is not patient. | entailment | (![X]:((strong(X)<~>old(X))<=>(~curious(X)&~brave(X))))&
(![X]:((kind(X)<~>old(X))<=>quiet(X)))&
((?[X]:((quiet(X)&creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)|~humble(X))=>quiet(X)))&
(![X]:((~rich(X)<~>strong(X))<=>(calm(X)|~generous(X))))&
(![X]:((~wise(X)&brave(X))<=>(patient(X)|funny(X))))&
(((strong(fred... | ~patient(lucy) | [
"p3",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 300873836869409974309563
% SZS output start Proof for 300873836869409974309563
4. ! [X0] : ((~humble(X0) | brave(X0)) => quiet(X0)) [input p3]
6. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (funny(X0) | patient(X0))) [input p5]
8. ! [X0] : ((~generous(X0) | ~creative(X0)) <=> (wise(X0) | ~brave... | 0 |
If someone is patient then someone is both happy and not patient.
If fred is curious or brave then someone is both quiet and rich.
Everyone who is strong or not patient is both not rich and not funny and vice versa.
If someone is either not wise or curious then someone is calm.
Everyone who is both not generous and tal... | Lucy is funny. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((happy(X)&~patient(X)))))&
(((curious(fred)|brave(fred)))=>(?[X]:((quiet(X)&rich(X)))))&
(![X]:((strong(X)|~patient(X))<=>(~rich(X)&~funny(X))))&
((?[X]:((~wise(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:((~generous(X)&tall(X))=>(~humble(X)<~>funny(X))))&
((?[X]:((happy(X)|funny(X))))=>((... | funny(lucy) | [
"p4",
"p7",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 187375290377538378300164
% SZS output start Proof for 187375290377538378300164
5. ! [X0] : ((tall(X0) & ~generous(X0)) => (~humble(X0) <~> funny(X0))) [input p4]
8. ! [X0] : ((~funny(X0) & tall(X0)) <=> (generous(X0) & ~happy(X0))) [input p7]
12. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> ... | 0 |
If someone is either not kind or quiet then lucy is either not wise or curious.
Everyone who is both not curious and curious is both not happy and funny.
If someone is either calm or not generous then alice is not humble and vice versa.
Everyone who is brave is both not rich and not happy and vice versa.
If john is bot... | Alice is quiet. | entailment | ((?[X]:((~kind(X)<~>quiet(X))))=>((~wise(lucy)<~>curious(lucy))))&
(![X]:((~curious(X)&curious(X))=>(~happy(X)&funny(X))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(~humble(alice)))&
(![X]:(brave(X)<=>(~rich(X)&~happy(X))))&
(((generous(john)&~strong(john)))<=>(?[X]:((~patient(X)|~rich(X)))))&
((?[X]:((generous(X)&~calm(X... | quiet(alice) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6682547014308168211805990
% SZS output start Proof for 6682547014308168211805990
3. ? [X0] : (calm(X0) <~> ~generous(X0)) <=> ~humble(alice) [input p2]
4. ! [X0] : (brave(X0) <=> (~happy(X0) & ~rich(X0))) [input p3]
5. (~strong(john) & generous(john)) <=> ? [X0] : (~rich(X0) | ~patient(X0... | 0 |
Everyone who is either tall or creative is old.
Everyone who is either kind or not quiet is either not wise or generous and vice versa.
Everyone who is both kind and not generous is not strong or rich and vice versa.
Everyone who is calm is both not curious and funny.
Everyone who is both not quiet and curious is both ... | Fred is not brave. | entailment | (![X]:((tall(X)<~>creative(X))=>old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(~wise(X)<~>generous(X))))&
(![X]:((kind(X)&~generous(X))<=>(~strong(X)|rich(X))))&
(![X]:(calm(X)=>(~curious(X)&funny(X))))&
(![X]:((~quiet(X)&curious(X))=>(~happy(X)&~patient(X))))&
(![X]:((~brave(X)&generous(X))=>(~kind(X)&generous(X))))&
(![X]... | ~brave(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 670141895078583834995172
% SZS output start Proof for 670141895078583834995172
22. ~rich(fred) & ~brave(fred) [input p21]
24. brave(fred) [input hypothesis]
140. ~brave(fred) [cnf transformation 22]
143. brave(fred) [cnf transformation 24]
237. $false [subsumption resolution 143,140]
% SZ... | 0 |
If someone is not happy or not creative then lucy is kind. Everyone who is either not happy or wise is either patient or happy and vice versa. Everyone who is both not quiet and happy is either wise or rich and vice versa. If someone is both not quiet and wise then someone is rich. If someone is happy then mary is eith... | John is quiet. | contradiction | ((?[X]:((~happy(X)|~creative(X))))=>(kind(lucy)))&
(![X]:((~happy(X)<~>wise(X))<=>(patient(X)<~>happy(X))))&
(![X]:((~quiet(X)&happy(X))<=>(wise(X)<~>rich(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(?[X]:(rich(X))))&
((?[X]:(happy(X)))<=>((humble(mary)<~>~quiet(mary))))&
(![X]:((~strong(X)<~>~happy(X))<=>(quiet(X)&~old(X)))... | quiet(john) | [
"p1",
"p2",
"p6",
"p7",
"p8",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1563710225369595393453677
% SZS output start Proof for 1563710225369595393453677
2. ! [X0] : ((~happy(X0) <~> wise(X0)) <=> (patient(X0) <~> happy(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (wise(X0) <~> rich(X0))) [input p2]
7. patient(paul) <=> ? [X0] : (patient(X0) & ~p... | 0 |
Everyone who is not quiet or not humble is both not curious and humble.
Everyone who is wise or not kind is brave.
Everyone who is not calm is both generous and not wise and vice versa.
Everyone who is either old or calm is brave and vice versa.
Everyone who is either not quiet or generous is not curious or generous.
E... | John is wise. | contradiction | (![X]:((~quiet(X)|~humble(X))=>(~curious(X)&humble(X))))&
(![X]:((wise(X)|~kind(X))=>brave(X)))&
(![X]:(~calm(X)<=>(generous(X)&~wise(X))))&
(![X]:((old(X)<~>calm(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~... | wise(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7325029348645419329621130
% SZS output start Proof for 7325029348645419329621130
1. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (humble(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => brave(X0)) [input p1]
3. ! [X0] : (~calm(X0) <=> (~wise(X0) & generous(X0))) [input p2... | 0 |
Everyone who is brave is either wise or not curious and vice versa.
If fred is both not generous and calm then someone is not old.
If someone is creative then someone is generous.
Everyone who is both not happy and tall is either not humble or not old.
If mary is not rich then someone is both not happy and old.
Everyon... | Susan is not quiet. | contradiction | (![X]:(brave(X)<=>(wise(X)<~>~curious(X))))&
(((~generous(fred)&calm(fred)))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quiet(X)|kind(X))<=>(h... | ~quiet(susan) | [
"p2",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8334544146681868607659303
% SZS output start Proof for 8334544146681868607659303
3. ? [X0] : creative(X0) => ? [X0] : generous(X0) [input p2]
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
7. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11... | 0 |
If lucy is both not generous and not curious then someone is funny or not curious.
Everyone who is not creative or humble is either not tall or tall.
If alice is either tall or funny then someone is either wise or old.
Everyone who is both not rich and patient is both not generous and generous and vice versa.
If someon... | Fred is not old. | contradiction | (((~generous(lucy)&~curious(lucy)))=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~creative(X)|humble(X))=>(~tall(X)<~>tall(X))))&
(((tall(alice)<~>funny(alice)))=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~generous(X)&generous(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>((patient(alice)&funny(alice)))... | ~old(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7019262210861496434284220
% SZS output start Proof for 7019262210861496434284220
12. ! [X0] : ((brave(X0) | ~old(X0)) <=> (old(X0) & curious(X0))) [input p11]
25. ~old(fred) [input hypothesis]
59. ! [X0] : (((brave(X0) | ~old(X0)) | (~old(X0) | ~curious(X0))) & ((old(X0) & curious(X0)) | ... | 0 |
If someone is tall or patient then lucy is not generous or not kind. Everyone who is not funny is both not curious and calm. If someone is both calm and not curious then someone is either not tall or brave and vice versa. If paul is brave then john is patient or not strong. If paul is generous or tall then john is both... | Alice is not rich. | neutral | ((?[X]:((tall(X)|patient(X))))=>((~generous(lucy)|~kind(lucy))))&
(![X]:(~funny(X)=>(~curious(X)&calm(X))))&
((?[X]:((calm(X)&~curious(X))))<=>(?[X]:((~tall(X)<~>brave(X)))))&
((brave(paul))=>((patient(john)|~strong(john))))&
(((generous(paul)|tall(paul)))=>((~creative(john)&~humble(john))))&
(![X]:((~kind(X)<~>~patien... | ~rich(alice) | [] | null | 0 |
If mary is funny or brave then someone is not creative or curious and vice versa.
Everyone who is not happy or not creative is both kind and not patient.
If paul is either happy or brave then someone is strong or not creative and vice versa.
If mary is either kind or not tall then john is both not tall and not humble.
... | Alice is not creative. | contradiction | (((funny(mary)|brave(mary)))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((~happy(X)|~creative(X))=>(kind(X)&~patient(X))))&
(((happy(paul)<~>brave(paul)))<=>(?[X]:((strong(X)|~creative(X)))))&
(((kind(mary)<~>~tall(mary)))=>((~tall(john)&~humble(john))))&
((?[X]:((rich(X)&old(X))))<=>(?[X]:((~quiet(X)|~wise(X)))))&
(... | ~creative(alice) | [
"p1",
"p2",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1711790736662774732772407
% SZS output start Proof for 1711790736662774732772407
2. ! [X0] : ((~creative(X0) | ~happy(X0)) => (~patient(X0) & kind(X0))) [input p1]
3. (happy(paul) <~> brave(paul)) <=> ? [X0] : (~creative(X0) | strong(X0)) [input p2]
19. brave(paul) [input p18]
21. patient... | 0 |
Everyone who is not happy or not rich is either quiet or happy and vice versa.
Everyone who is strong or not wise is either calm or rich and vice versa.
Everyone who is humble is happy and vice versa.
Everyone who is not patient is either not tall or funny and vice versa.
If someone is patient or happy then fred is not... | John is generous. | entailment | (![X]:((~happy(X)|~rich(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((strong(X)|~wise(X))<=>(calm(X)<~>rich(X))))&
(![X]:(humble(X)<=>happy(X)))&
(![X]:(~patient(X)<=>(~tall(X)<~>funny(X))))&
((?[X]:((patient(X)|happy(X))))=>(~strong(fred)))&
(![X]:((tall(X)&~generous(X))=>calm(X)))&
((?[X]:((~wise(X)|creative(X))))<=>(?[X]:(... | generous(john) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1562076250738272361219776
% SZS output start Proof for 1562076250738272361219776
1. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> (quiet(X0) <~> happy(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | strong(X0)) <=> (calm(X0) <~> rich(X0))) [input p1]
4. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> funny... | 0 |
If someone is both generous and strong then fred is either funny or not calm.
Everyone who is strong is both creative and not old.
Everyone who is either tall or not wise is brave or not patient and vice versa.
Everyone who is both not creative and not humble is both tall and brave.
Everyone who is both not calm and ol... | Paul is not curious. | neutral | ((?[X]:((generous(X)&strong(X))))=>((funny(fred)<~>~calm(fred))))&
(![X]:(strong(X)=>(creative(X)&~old(X))))&
(![X]:((tall(X)<~>~wise(X))<=>(brave(X)|~patient(X))))&
(![X]:((~creative(X)&~humble(X))=>(tall(X)&brave(X))))&
(![X]:((~calm(X)&old(X))<=>(~funny(X)|~strong(X))))&
((?[X]:((~patient(X)<~>wise(X))))=>(?[X]:((~k... | ~curious(paul) | [] | null | 0 |
If fred is both funny and not brave then someone is not wise or not generous. If lucy is kind or humble then fred is either not humble or brave. If paul is either patient or not curious then someone is either brave or tall. Everyone who is tall or not tall is either not generous or quiet. If john is humble then someone... | Lucy is not wise. | contradiction | (((funny(fred)&~brave(fred)))=>(?[X]:((~wise(X)|~generous(X)))))&
(((kind(lucy)|humble(lucy)))=>((~humble(fred)<~>brave(fred))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((tall(X)|~tall(X))=>(~generous(X)<~>quiet(X))))&
((humble(john))<=>(?[X]:(~patient(X))))&
(![X]:((tall(X)<~>creati... | ~wise(lucy) | [
"p3",
"p8",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7439414208727895243879861
% SZS output start Proof for 7439414208727895243879861
4. ! [X0] : ((~tall(X0) | tall(X0)) => (~generous(X0) <~> quiet(X0))) [input p3]
9. ! [X0] : ((quiet(X0) <~> wise(X0)) <=> ~funny(X0)) [input p8]
22. creative(lucy) & ~funny(lucy) [input p21]
24. ~generous(lu... | 0 |
If alice is old then john is curious and vice versa.
Everyone who is old is not creative and vice versa.
Everyone who is tall is both humble and strong.
If someone is quiet or generous then someone is either wise or kind and vice versa.
Everyone who is not happy is creative.
Everyone who is creative or happy is either ... | John is happy. | entailment | ((old(alice))<=>(curious(john)))&
(![X]:(old(X)<=>~creative(X)))&
(![X]:(tall(X)=>(humble(X)&strong(X))))&
((?[X]:((quiet(X)|generous(X))))<=>(?[X]:((wise(X)<~>kind(X)))))&
(![X]:(~happy(X)=>creative(X)))&
(![X]:((creative(X)|happy(X))=>(~creative(X)<~>happy(X))))&
(![X]:((~rich(X)|~brave(X))=>(tall(X)<~>~patient(X))))... | happy(john) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5836873500044158538685272
% SZS output start Proof for 5836873500044158538685272
5. ! [X0] : (~happy(X0) => creative(X0)) [input p4]
6. ! [X0] : ((happy(X0) | creative(X0)) => (~creative(X0) <~> happy(X0))) [input p5]
25. ~happy(john) [input hypothesis]
28. ! [X0] : (creative(X0) | happy(... | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Alice is curious. | neutral | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | curious(alice) | [] | null | 0 |
Everyone who is both kind and not curious is not quiet and vice versa.
If someone is not calm then someone is either not funny or calm and vice versa.
Everyone who is either quiet or rich is not wise and vice versa.
Everyone who is calm is not humble or not tall and vice versa.
If susan is not rich or not funny then fr... | Alice is wise. | contradiction | (![X]:((kind(X)&~curious(X))<=>~quiet(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~wise(X)))&
(![X]:(calm(X)<=>(~humble(X)|~tall(X))))&
(((~rich(susan)|~funny(susan)))=>(~calm(fred)))&
(![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alic... | wise(alice) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3010286188561953191522412
% SZS output start Proof for 3010286188561953191522412
1. ! [X0] : ((~curious(X0) & kind(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((quiet(X0) <~> rich(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~humble(X0))) [input p3]
7. (~quiet(ali... | 0 |
Everyone who is not brave is not kind or happy. If someone is wise then john is both not creative and kind. If someone is not creative or not quiet then paul is both happy and old and vice versa. Everyone who is either rich or wise is either not tall or happy. If someone is quiet or tall then someone is both curious an... | Mary is not rich. | contradiction | (![X]:(~brave(X)=>(~kind(X)|happy(X))))&
((?[X]:(wise(X)))=>((~creative(john)&kind(john))))&
((?[X]:((~creative(X)|~quiet(X))))<=>((happy(paul)&old(paul))))&
(![X]:((rich(X)<~>wise(X))=>(~tall(X)<~>happy(X))))&
((?[X]:((quiet(X)|tall(X))))<=>(?[X]:((curious(X)&funny(X)))))&
(((~curious(fred)<~>~happy(fred)))<=>(?[X]:((... | ~rich(mary) | [
"p6",
"p7",
"p11",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 255848226254482829620685
% SZS output start Proof for 255848226254482829620685
7. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> funny(X0)) [input p6]
8. ! [X0] : ((~brave(X0) <~> creative(X0)) <=> (rich(X0) & funny(X0))) [input p7]
12. ! [X0] : ((~wise(X0) | ~funny(X0)) => ~funny(X0)) [input p11]... | 0 |
Everyone who is either strong or quiet is either wise or calm and vice versa.
If someone is not generous or not brave then lucy is either quiet or not quiet.
Everyone who is both not humble and not funny is both brave and not strong.
Everyone who is not funny is not kind and vice versa.
Everyone who is either happy or ... | Susan is strong. | neutral | (![X]:((strong(X)<~>quiet(X))<=>(wise(X)<~>calm(X))))&
((?[X]:((~generous(X)|~brave(X))))=>((quiet(lucy)<~>~quiet(lucy))))&
(![X]:((~humble(X)&~funny(X))=>(brave(X)&~strong(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(![X]:((happy(X)<~>~rich(X))<=>(~tall(X)|happy(X))))&
((calm(paul))=>((funny(john)&~patient(john))))&
(![X]:(... | strong(susan) | [] | null | 0 |
Everyone who is not wise or not creative is not strong or not old and vice versa. If alice is old or funny then fred is not humble and vice versa. If fred is either not generous or not tall then paul is either not wise or not quiet. Everyone who is wise is both not generous and not rich. If someone is both not quiet an... | Alice is not old. | entailment | (![X]:((~wise(X)|~creative(X))<=>(~strong(X)|~old(X))))&
(((old(alice)|funny(alice)))<=>(~humble(fred)))&
(((~generous(fred)<~>~tall(fred)))=>((~wise(paul)<~>~quiet(paul))))&
(![X]:(wise(X)=>(~generous(X)&~rich(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((tall(X)<~>~brave(X)))))&
(((~curious(john)<~>happy(john)))<=>(... | ~old(alice) | [
"p0",
"p3",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5283584993781454136481886
% SZS output start Proof for 5283584993781454136481886
1. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (~old(X0) | ~strong(X0))) [input p0]
4. ! [X0] : (wise(X0) => (~rich(X0) & ~generous(X0))) [input p3]
16. ? [X0] : ~strong(X0) <=> (wise(susan) & strong(susan)) [i... | 0 |
Everyone who is funny or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich is both pati... | John is not strong. | neutral | (![X]:((funny(X)|~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X)))&
((... | ~strong(john) | [] | null | 0 |
If someone is either creative or not creative then someone is either wise or curious. If susan is not generous then someone is both creative and not patient and vice versa. Everyone who is not strong is both not creative and not calm. Everyone who is either calm or patient is either not tall or not creative. Everyone w... | Paul is not happy. | contradiction | ((?[X]:((creative(X)<~>~creative(X))))=>(?[X]:((wise(X)<~>curious(X)))))&
((~generous(susan))<=>(?[X]:((creative(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~creative(X)&~calm(X))))&
(![X]:((calm(X)<~>patient(X))=>(~tall(X)<~>~creative(X))))&
(![X]:((~rich(X)|~tall(X))=>old(X)))&
((?[X]:(~strong(X)))=>((curious(mary)&quiet... | ~happy(paul) | [
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3083114977372902092770077
% SZS output start Proof for 3083114977372902092770077
7. ! [X0] : ((~patient(X0) | patient(X0)) <=> (curious(X0) & calm(X0))) [input p6]
14. ! [X0] : ((happy(X0) & brave(X0)) <=> ~creative(X0)) [input p13]
16. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (~generous... | 0 |
If someone is not calm or not brave then paul is both not tall and not curious and vice versa. Everyone who is both not calm and not rich is not curious and vice versa. If mary is either quiet or humble then someone is either not creative or not tall and vice versa. If alice is either patient or rich then someone is ki... | John is patient. | neutral | ((?[X]:((~calm(X)|~brave(X))))<=>((~tall(paul)&~curious(paul))))&
(![X]:((~calm(X)&~rich(X))<=>~curious(X)))&
(((quiet(mary)<~>humble(mary)))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(((patient(alice)<~>rich(alice)))=>(?[X]:((kind(X)|brave(X)))))&
((?[X]:((calm(X)&~creative(X))))=>((~brave(john)&creative(john))))&
(![X]:... | patient(john) | [] | null | 0 |
Everyone who is strong is either not curious or not calm.
Everyone who is both not humble and quiet is either strong or not funny and vice versa.
Everyone who is both not curious and not patient is not happy.
If lucy is both not brave and not curious then someone is both calm and kind.
Everyone who is both calm and not... | Lucy is not curious. | neutral | (![X]:(strong(X)=>(~curious(X)<~>~calm(X))))&
(![X]:((~humble(X)&quiet(X))<=>(strong(X)<~>~funny(X))))&
(![X]:((~curious(X)&~patient(X))=>~happy(X)))&
(((~brave(lucy)&~curious(lucy)))=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((calm(X)&~old(X))=>(~patient(X)&~old(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(old(X)|calm(X))))&
(... | ~curious(lucy) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is tal... | Alice is not patient. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | ~patient(alice) | [
"p0",
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4605695985901749299355475
% SZS output start Proof for 4605695985901749299355475
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((patient(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(... | 0 |
Everyone who is not humble is kind. If paul is humble then mary is old or not generous and vice versa. If someone is both not humble and not tall then alice is both not happy and generous and vice versa. Everyone who is not generous is not brave or not kind. If susan is not happy or not creative then alice is old or cu... | Alice is not humble. | neutral | (![X]:(~humble(X)=>kind(X)))&
((humble(paul))<=>((old(mary)|~generous(mary))))&
((?[X]:((~humble(X)&~tall(X))))<=>((~happy(alice)&generous(alice))))&
(![X]:(~generous(X)=>(~brave(X)|~kind(X))))&
(((~happy(susan)|~creative(susan)))<=>((old(alice)|curious(alice))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:((brave(X)&~t... | ~humble(alice) | [] | null | 0 |
Everyone who is not funny or generous is either brave or not patient. Everyone who is not rich or not creative is both not patient and not generous. Everyone who is both generous and not generous is generous. If susan is calm or happy then lucy is not funny and vice versa. Everyone who is not patient or not old is not ... | Susan is creative. | entailment | (![X]:((~funny(X)|generous(X))=>(brave(X)<~>~patient(X))))&
(![X]:((~rich(X)|~creative(X))=>(~patient(X)&~generous(X))))&
(![X]:((generous(X)&~generous(X))=>generous(X)))&
(((calm(susan)|happy(susan)))<=>(~funny(lucy)))&
(![X]:((~patient(X)|~old(X))=>(~kind(X)|~generous(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~wise(X)|~happ... | creative(susan) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4091488938525606428218131
% SZS output start Proof for 4091488938525606428218131
2. ! [X0] : ((~creative(X0) | ~rich(X0)) => (~generous(X0) & ~patient(X0))) [input p1]
8. ! [X0] : (generous(X0) <=> (~generous(X0) | ~funny(X0))) [input p7]
22. ~creative(susan) [input hypothesis]
27. ! [X0]... | 0 |
Everyone who is not humble is both not tall and not creative and vice versa.
If someone is calm or not creative then mary is patient or strong.
If paul is not tall or patient then someone is either not funny or humble.
Everyone who is not wise is either not brave or not humble and vice versa.
Everyone who is humble is ... | Susan is not humble. | contradiction | (![X]:(~humble(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((calm(X)|~creative(X))))=>((patient(mary)|strong(mary))))&
(((~tall(paul)|patient(paul)))=>(?[X]:((~funny(X)<~>humble(X)))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~humble(X))))&
(![X]:(humble(X)=>(~creative(X)<~>~wise(X))))&
(![X]:((~generous(X)<~>kind(X))=>(~old(X)&calm... | ~humble(susan) | [
"p0",
"p1",
"p5",
"p8",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7102059790190722511482717
% SZS output start Proof for 7102059790190722511482717
1. ! [X0] : (~humble(X0) <=> (~creative(X0) & ~tall(X0))) [input p0]
2. ? [X0] : (~creative(X0) | calm(X0)) => (strong(mary) | patient(mary)) [input p1]
6. ! [X0] : ((~generous(X0) <~> kind(X0)) => (calm(X0) ... | 0 |
If someone is not wise then someone is not patient or strong and vice versa. Everyone who is both tall and not kind is calm or not kind. Everyone who is calm is not calm or happy and vice versa. Everyone who is either not quiet or not wise is not creative or funny and vice versa. If lucy is not generous or generous the... | Fred is rich. | neutral | ((?[X]:(~wise(X)))<=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((tall(X)&~kind(X))=>(calm(X)|~kind(X))))&
(![X]:(calm(X)<=>(~calm(X)|happy(X))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(~creative(X)|funny(X))))&
(((~generous(lucy)|generous(lucy)))<=>((~strong(fred)|~creative(fred))))&
((old(susan))<=>((~patient(john)<~>~calm(j... | rich(fred) | [] | null | 0 |
Everyone who is not patient is curious or not wise. If someone is funny or not funny then someone is not tall or not brave. Everyone who is not tall or generous is both not humble and kind and vice versa. Everyone who is either happy or tall is not generous. Everyone who is either not creative or creative is either kin... | Alice is not calm. | entailment | (![X]:(~patient(X)=>(curious(X)|~wise(X))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~tall(X)|generous(X))<=>(~humble(X)&kind(X))))&
(![X]:((happy(X)<~>tall(X))=>~generous(X)))&
(![X]:((~creative(X)<~>creative(X))=>(kind(X)<~>wise(X))))&
(((~kind(fred)<~>~patient(fred)))=>((~generous(fre... | ~calm(alice) | [
"p2",
"p4",
"p7",
"p8",
"p11",
"p12",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 655016950379476555695966
% SZS output start Proof for 655016950379476555695966
3. ! [X0] : ((generous(X0) | ~tall(X0)) <=> (kind(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((~creative(X0) <~> creative(X0)) => (kind(X0) <~> wise(X0))) [input p4]
8. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=>... | 0 |
Everyone who is not old or not funny is not strong or happy and vice versa. If lucy is both not curious and not humble then someone is brave. Everyone who is calm is both not calm and generous and vice versa. Everyone who is either not creative or not curious is not humble or tall and vice versa. If someone is not pati... | Lucy is wise. | contradiction | (![X]:((~old(X)|~funny(X))<=>(~strong(X)|happy(X))))&
(((~curious(lucy)&~humble(lucy)))=>(?[X]:(brave(X))))&
(![X]:(calm(X)<=>(~calm(X)&generous(X))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~humble(X)|tall(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:((calm(X)&~humble(X))<=>curious(X)))&
(![X]:(... | wise(lucy) | [
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8024817121893007281292328
% SZS output start Proof for 8024817121893007281292328
3. ! [X0] : (calm(X0) <=> (generous(X0) & ~calm(X0))) [input p2]
6. ! [X0] : ((~humble(X0) & calm(X0)) <=> curious(X0)) [input p5]
14. ? [X0] : (~curious(X0) & wise(X0)) <=> ? [X0] : (tall(X0) & generous(X0))... | 0 |
Everyone who is both not strong and kind is not calm and vice versa.
If alice is either not calm or not brave then alice is either not calm or not tall and vice versa.
Everyone who is either not happy or not old is calm and vice versa.
Everyone who is rich is not strong or not humble.
Everyone who is patient is both hu... | Lucy is not happy. | entailment | (![X]:((~strong(X)&kind(X))<=>~calm(X)))&
(((~calm(alice)<~>~brave(alice)))<=>((~calm(alice)<~>~tall(alice))))&
(![X]:((~happy(X)<~>~old(X))<=>calm(X)))&
(![X]:(rich(X)=>(~strong(X)|~humble(X))))&
(![X]:(patient(X)<=>(humble(X)&~wise(X))))&
((?[X]:((happy(X)|~creative(X))))=>(~generous(mary)))&
((?[X]:((generous(X)&~ri... | ~happy(lucy) | [
"p2",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3019207414743153783306500
% SZS output start Proof for 3019207414743153783306500
3. ! [X0] : ((~happy(X0) <~> ~old(X0)) <=> calm(X0)) [input p2]
20. calm(lucy) & ~brave(lucy) [input p19]
21. ~curious(lucy) & old(lucy) [input p20]
25. happy(lucy) [input hypothesis]
46. ! [X0] : ((((old(X0)... | 0 |
Everyone who is generous or not quiet is tall or not patient.
Everyone who is not humble is happy.
Everyone who is both not happy and not tall is strong.
Everyone who is tall is humble.
If someone is either not kind or not patient then someone is quiet or not patient and vice versa.
Everyone who is either not kind or n... | John is kind. | neutral | (![X]:((generous(X)|~quiet(X))=>(tall(X)|~patient(X))))&
(![X]:(~humble(X)=>happy(X)))&
(![X]:((~happy(X)&~tall(X))=>strong(X)))&
(![X]:(tall(X)=>humble(X)))&
((?[X]:((~kind(X)<~>~patient(X))))<=>(?[X]:((quiet(X)|~patient(X)))))&
(![X]:((~kind(X)<~>~creative(X))<=>(~patient(X)|old(X))))&
((?[X]:(kind(X)))=>(?[X]:((~qui... | kind(john) | [] | null | 0 |
Everyone who is old or happy is both not strong and not curious and vice versa.
Everyone who is both wise and strong is not humble or humble.
If someone is humble or curious then lucy is curious and vice versa.
If fred is not wise then someone is both not humble and old and vice versa.
Everyone who is both strong and n... | Fred is not tall. | entailment | (![X]:((old(X)|happy(X))<=>(~strong(X)&~curious(X))))&
(![X]:((wise(X)&strong(X))=>(~humble(X)|humble(X))))&
((?[X]:((humble(X)|curious(X))))<=>(curious(lucy)))&
((~wise(fred))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:((strong(X)&~generous(X))=>(~happy(X)|~strong(X))))&
(![X]:((~wise(X)&wise(X))=>(wise(X)|~quiet(X))))&
(... | ~tall(fred) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7694011924301563956919754
% SZS output start Proof for 7694011924301563956919754
1. ! [X0] : ((happy(X0) | old(X0)) <=> (~curious(X0) & ~strong(X0))) [input p0]
3. ? [X0] : (curious(X0) | humble(X0)) <=> curious(lucy) [input p2]
4. ~wise(fred) <=> ? [X0] : (old(X0) & ~humble(X0)) [input p... | 0 |
Everyone who is not wise is both not patient and not happy and vice versa.
If mary is kind then paul is creative.
Everyone who is not old is not funny or quiet.
If someone is both not calm and patient then someone is both curious and not calm.
If someone is either not funny or creative then paul is not tall.
Everyone w... | Mary is not calm. | neutral | (![X]:(~wise(X)<=>(~patient(X)&~happy(X))))&
((kind(mary))=>(creative(paul)))&
(![X]:(~old(X)=>(~funny(X)|quiet(X))))&
((?[X]:((~calm(X)&patient(X))))=>(?[X]:((curious(X)&~calm(X)))))&
((?[X]:((~funny(X)<~>creative(X))))=>(~tall(paul)))&
(![X]:((rich(X)&curious(X))<=>(old(X)|quiet(X))))&
((?[X]:((funny(X)|old(X))))=>(?... | ~calm(mary) | [] | null | 0 |
If susan is rich then fred is kind. If someone is funny or not rich then someone is both not old and calm and vice versa. Everyone who is either old or not strong is either not generous or not brave and vice versa. Everyone who is both not strong and kind is calm. If susan is either not quiet or not brave then someone ... | Lucy is patient. | neutral | ((rich(susan))=>(kind(fred)))&
((?[X]:((funny(X)|~rich(X))))<=>(?[X]:((~old(X)&calm(X)))))&
(![X]:((old(X)<~>~strong(X))<=>(~generous(X)<~>~brave(X))))&
(![X]:((~strong(X)&kind(X))=>calm(X)))&
(((~quiet(susan)<~>~brave(susan)))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:((~happy(X)|tall(X))<=>(~wise(X)<~>rich(X))))&
(![X]... | patient(lucy) | [] | null | 0 |
If someone is both quiet and not old then someone is not strong.
If alice is not generous or humble then someone is both tall and not quiet and vice versa.
Everyone who is both not funny and not quiet is not kind or not tall.
Everyone who is both not funny and strong is either old or funny.
If someone is both not gener... | Susan is old. | entailment | ((?[X]:((quiet(X)&~old(X))))=>(?[X]:(~strong(X))))&
(((~generous(alice)|humble(alice)))<=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~funny(X)&strong(X))=>(old(X)<~>funny(X))))&
((?[X]:((~generous(X)&happy(X))))<=>((~humble(fred)<~>~happy(fred))))&
(![X]:((~strong(X)&pat... | old(susan) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7499230192082678045958410
% SZS output start Proof for 7499230192082678045958410
11. ? [X0] : (~old(X0) <~> ~humble(X0)) <=> ? [X0] : (~tall(X0) & ~humble(X0)) [input p10]
15. ! [X0] : ((strong(X0) & humble(X0)) <=> (curious(X0) | ~curious(X0))) [input p14]
24. ~old(susan) [input hypothes... | 0 |
Everyone who is calm is both not kind and not humble.
Everyone who is both not generous and brave is not wise.
If fred is not patient then alice is either creative or curious and vice versa.
If someone is either not patient or not humble then mary is both not quiet and quiet and vice versa.
Everyone who is not calm or ... | Fred is not patient. | contradiction | (![X]:(calm(X)=>(~kind(X)&~humble(X))))&
(![X]:((~generous(X)&brave(X))=>~wise(X)))&
((~patient(fred))<=>((creative(alice)<~>curious(alice))))&
((?[X]:((~patient(X)<~>~humble(X))))<=>((~quiet(mary)&quiet(mary))))&
(![X]:((~calm(X)|~rich(X))=>(wise(X)<~>~patient(X))))&
(![X]:((wise(X)|calm(X))<=>(~curious(X)|tall(X))))&... | ~patient(fred) | [
"p3",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2018175682231019705283013
% SZS output start Proof for 2018175682231019705283013
4. ? [X0] : (~patient(X0) <~> ~humble(X0)) <=> (quiet(mary) & ~quiet(mary)) [input p3]
8. ! [X0] : ((~rich(X0) | humble(X0)) <=> (calm(X0) <~> rich(X0))) [input p7]
13. ! [X0] : ((calm(X0) | ~creative(X0)) <=... | 0 |
Everyone who is both generous and calm is not generous or not curious. If someone is both not rich and not funny then someone is either creative or not brave and vice versa. Everyone who is happy or not rich is wise or not calm. Everyone who is humble is not kind. Everyone who is rich or patient is tall or not strong. ... | Lucy is quiet. | entailment | (![X]:((generous(X)&calm(X))=>(~generous(X)|~curious(X))))&
((?[X]:((~rich(X)&~funny(X))))<=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:((happy(X)|~rich(X))=>(wise(X)|~calm(X))))&
(![X]:(humble(X)=>~kind(X)))&
(![X]:((rich(X)|patient(X))=>(tall(X)|~strong(X))))&
(![X]:(~creative(X)<=>(happy(X)<~>kind(X))))&
(((patient(... | quiet(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6456440784099571104973449
% SZS output start Proof for 6456440784099571104973449
22. quiet(lucy) [input p21]
24. ~quiet(lucy) [input hypothesis]
126. quiet(lucy) [cnf transformation 22]
128. ~quiet(lucy) [cnf transformation 24]
317. $false [subsumption resolution 128,126]
% SZS output end... | 0 |
Everyone who is both not generous and not old is not generous or tall and vice versa.
Everyone who is both not generous and calm is tall and vice versa.
Everyone who is either not kind or strong is brave or tall and vice versa.
Everyone who is either not brave or not strong is creative.
If someone is strong or not humb... | John is funny. | neutral | (![X]:((~generous(X)&~old(X))<=>(~generous(X)|tall(X))))&
(![X]:((~generous(X)&calm(X))<=>tall(X)))&
(![X]:((~kind(X)<~>strong(X))<=>(brave(X)|tall(X))))&
(![X]:((~brave(X)<~>~strong(X))=>creative(X)))&
((?[X]:((strong(X)|~humble(X))))<=>((wise(fred)|rich(fred))))&
(![X]:((humble(X)&quiet(X))=>(brave(X)|~humble(X))))&
... | funny(john) | [] | null | 0 |
If fred is generous then paul is not old and vice versa.
If someone is funny then someone is either happy or quiet and vice versa.
If someone is either not curious or quiet then someone is both not calm and not brave and vice versa.
Everyone who is not rich is both kind and not tall.
Everyone who is not patient is eith... | Lucy is strong. | entailment | ((generous(fred))<=>(~old(paul)))&
((?[X]:(funny(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
((?[X]:((~curious(X)<~>quiet(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:(~rich(X)=>(kind(X)&~tall(X))))&
(![X]:(~patient(X)<=>(wise(X)<~>~calm(X))))&
(![X]:(~quiet(X)<=>(strong(X)|happy(X))))&
(![X]:((kind(X)<~>~humble(X))=>(ric... | strong(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5595454439947468126942272
% SZS output start Proof for 5595454439947468126942272
8. ! [X0] : ((strong(X0) & ~generous(X0)) <=> (~funny(X0) <~> funny(X0))) [input p7]
23. ~strong(lucy) [input hypothesis]
48. ! [X0] : (((strong(X0) & ~generous(X0)) | ((~funny(X0) | ~funny(X0)) & (funny(X0) ... | 0 |
Everyone who is not patient or tall is both brave and strong.
If fred is happy or not kind then someone is either patient or humble.
Everyone who is either wise or old is either not brave or not happy.
If someone is not happy or not rich then someone is creative and vice versa.
Everyone who is not humble is curious.
Ev... | Lucy is not wise. | entailment | (![X]:((~patient(X)|tall(X))=>(brave(X)&strong(X))))&
(((happy(fred)|~kind(fred)))=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((wise(X)<~>old(X))=>(~brave(X)<~>~happy(X))))&
((?[X]:((~happy(X)|~rich(X))))<=>(?[X]:(creative(X))))&
(![X]:(~humble(X)=>curious(X)))&
(![X]:(~quiet(X)<=>(quiet(X)<~>~humble(X))))&
((old(susan... | ~wise(lucy) | [
"p0",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2401374702131013426803388
% SZS output start Proof for 2401374702131013426803388
1. ! [X0] : ((tall(X0) | ~patient(X0)) => (strong(X0) & brave(X0))) [input p0]
6. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> ~humble(X0))) [input p5]
11. ! [X0] : ((calm(X0) | ~brave(X0)) => (brave(X0) & tall(X0... | 0 |
Everyone who is not old is both not old and not humble and vice versa. Everyone who is both not calm and not strong is not wise or calm and vice versa. If alice is both not strong and tall then susan is tall and vice versa. Everyone who is either creative or not brave is strong or not creative. Everyone who is not tall... | Lucy is not brave. | neutral | (![X]:(~old(X)<=>(~old(X)&~humble(X))))&
(![X]:((~calm(X)&~strong(X))<=>(~wise(X)|calm(X))))&
(((~strong(alice)&tall(alice)))<=>(tall(susan)))&
(![X]:((creative(X)<~>~brave(X))=>(strong(X)|~creative(X))))&
(![X]:((~tall(X)|~happy(X))=>(calm(X)<~>happy(X))))&
(![X]:((brave(X)&happy(X))=>(~creative(X)|generous(X))))&
(![... | ~brave(lucy) | [] | null | 0 |
Everyone who is calm is curious or not humble. Everyone who is either not strong or not quiet is both calm and not generous and vice versa. If someone is either not funny or patient then someone is not patient or generous. If lucy is either quiet or kind then someone is generous or not old and vice versa. If mary is bo... | Susan is creative. | neutral | (![X]:(calm(X)=>(curious(X)|~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(calm(X)&~generous(X))))&
((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((~patient(X)|generous(X)))))&
(((quiet(lucy)<~>kind(lucy)))<=>(?[X]:((generous(X)|~old(X)))))&
(((~generous(mary)&humble(mary)))<=>(?[X]:((~funny(X)&~rich(X)))))&
(![X]:(~bra... | creative(susan) | [] | null | 0 |
Everyone who is wise or not patient is either rich or quiet and vice versa.
Everyone who is both tall and not kind is not brave and vice versa.
Everyone who is either tall or not kind is both not wise and wise.
If lucy is either curious or not generous then someone is both calm and happy and vice versa.
If paul is eith... | Lucy is not patient. | contradiction | (![X]:((wise(X)|~patient(X))<=>(rich(X)<~>quiet(X))))&
(![X]:((tall(X)&~kind(X))<=>~brave(X)))&
(![X]:((tall(X)<~>~kind(X))=>(~wise(X)&wise(X))))&
(((curious(lucy)<~>~generous(lucy)))<=>(?[X]:((calm(X)&happy(X)))))&
(((rich(paul)<~>brave(paul)))=>((old(paul)&brave(paul))))&
((?[X]:(~creative(X)))=>((funny(alice)&~calm(... | ~patient(lucy) | [
"p1",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6524382385276308861189875
% SZS output start Proof for 6524382385276308861189875
2. ! [X0] : ((~kind(X0) & tall(X0)) <=> ~brave(X0)) [input p1]
12. ! [X0] : ((~rich(X0) <~> ~patient(X0)) => (patient(X0) | kind(X0))) [input p11]
17. ~brave(lucy) & rich(lucy) [input p16]
24. ~patient(lucy) ... | 0 |
Everyone who is both not funny and not generous is either generous or not brave. Everyone who is quiet is both quiet and not wise and vice versa. Everyone who is both calm and not kind is rich. Everyone who is not happy is not curious or calm. If someone is curious or quiet then someone is not happy and vice versa. Eve... | Alice is humble. | neutral | (![X]:((~funny(X)&~generous(X))=>(generous(X)<~>~brave(X))))&
(![X]:(quiet(X)<=>(quiet(X)&~wise(X))))&
(![X]:((calm(X)&~kind(X))=>rich(X)))&
(![X]:(~happy(X)=>(~curious(X)|calm(X))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~strong(X)&wise(X))<=>(~funny(X)&rich(X))))&
(![X]:((~rich(X)<~>wise(X))<... | humble(alice) | [] | null | 0 |
Everyone who is either not old or kind is brave.
Everyone who is either not rich or brave is both funny and not brave.
If mary is either not creative or tall then someone is either not patient or strong.
If mary is quiet or wise then paul is old.
Everyone who is generous is funny and vice versa.
If someone is creative ... | Mary is tall. | entailment | (![X]:((~old(X)<~>kind(X))=>brave(X)))&
(![X]:((~rich(X)<~>brave(X))=>(funny(X)&~brave(X))))&
(((~creative(mary)<~>tall(mary)))=>(?[X]:((~patient(X)<~>strong(X)))))&
(((quiet(mary)|wise(mary)))=>(old(paul)))&
(![X]:(generous(X)<=>funny(X)))&
((?[X]:(creative(X)))=>((tall(susan)&~quiet(susan))))&
(![X]:((~rich(X)<~>brav... | tall(mary) | [
"p1",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2808001416006274682689555
% SZS output start Proof for 2808001416006274682689555
2. ! [X0] : ((~rich(X0) <~> brave(X0)) => (~brave(X0) & funny(X0))) [input p1]
7. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> ~funny(X0)) [input p6]
18. ~funny(mary) <~> tall(mary) [input p17]
22. ~tall(mary) [in... | 0 |
If someone is both not patient and rich then someone is either creative or not tall and vice versa.
Everyone who is either funny or old is either kind or tall and vice versa.
Everyone who is both not rich and brave is either patient or creative and vice versa.
If paul is not strong or not generous then susan is not cre... | John is kind. | neutral | ((?[X]:((~patient(X)&rich(X))))<=>(?[X]:((creative(X)<~>~tall(X)))))&
(![X]:((funny(X)<~>old(X))<=>(kind(X)<~>tall(X))))&
(![X]:((~rich(X)&brave(X))<=>(patient(X)<~>creative(X))))&
(((~strong(paul)|~generous(paul)))=>(~creative(susan)))&
(((tall(alice)<~>~humble(alice)))<=>(patient(susan)))&
(![X]:(~creative(X)=>quiet(... | kind(john) | [] | null | 0 |
If someone is either not patient or not old then mary is not wise or not kind and vice versa. If someone is either not kind or not patient then paul is wise. Everyone who is both not quiet and not happy is not old. If someone is rich then someone is funny or not curious. Everyone who is either not patient or not quiet ... | Mary is old. | neutral | ((?[X]:((~patient(X)<~>~old(X))))<=>((~wise(mary)|~kind(mary))))&
((?[X]:((~kind(X)<~>~patient(X))))=>(wise(paul)))&
(![X]:((~quiet(X)&~happy(X))=>~old(X)))&
((?[X]:(rich(X)))=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~patient(X)<~>~quiet(X))=>(~generous(X)<~>~patient(X))))&
(![X]:((funny(X)&happy(X))=>~humble(X)))&
(... | old(mary) | [] | null | 0 |
If fred is both not happy and not rich then someone is tall or not funny. Everyone who is not old is not curious. If alice is either calm or quiet then susan is not funny or not strong. Everyone who is both not rich and quiet is both not funny and old and vice versa. Everyone who is quiet is either happy or not quiet a... | Alice is not brave. | contradiction | (((~happy(fred)&~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy))))... | ~brave(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 689360265246373743324938
% SZS output start Proof for 689360265246373743324938
13. ! [X0] : (rich(X0) <=> (~rich(X0) | brave(X0))) [input p12]
22. ~brave(alice) [input hypothesis]
56. ! [X0] : ((rich(X0) | (rich(X0) & ~brave(X0))) & ((~rich(X0) | brave(X0)) | ~rich(X0))) [nnf transformati... | 0 |
Everyone who is strong is humble or not strong and vice versa. If someone is either happy or not rich then paul is not tall or not curious and vice versa. Everyone who is not humble or not brave is either not rich or not strong. Everyone who is not tall is either creative or wise. Everyone who is either generous or wis... | Paul is humble. | entailment | (![X]:(strong(X)<=>(humble(X)|~strong(X))))&
((?[X]:((happy(X)<~>~rich(X))))<=>((~tall(paul)|~curious(paul))))&
(![X]:((~humble(X)|~brave(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~tall(X)=>(creative(X)<~>wise(X))))&
(![X]:((generous(X)<~>wise(X))<=>(~old(X)&wise(X))))&
(![X]:(~wise(X)<=>(brave(X)|~patient(X))))&
(((funny... | humble(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7103687325410812807464374
% SZS output start Proof for 7103687325410812807464374
1. ! [X0] : (strong(X0) <=> (~strong(X0) | humble(X0))) [input p0]
25. ~humble(paul) [input hypothesis]
39. ! [X0] : ((strong(X0) | (strong(X0) & ~humble(X0))) & ((~strong(X0) | humble(X0)) | ~strong(X0))) [n... | 0 |
If someone is humble or kind then lucy is not quiet.
Everyone who is not rich is either not generous or not strong and vice versa.
If someone is not rich then someone is both not strong and not patient.
If someone is both not calm and curious then paul is either not wise or not tall and vice versa.
If paul is both not ... | John is not strong. | contradiction | ((?[X]:((humble(X)|kind(X))))=>(~quiet(lucy)))&
(![X]:(~rich(X)<=>(~generous(X)<~>~strong(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)&~patient(X)))))&
((?[X]:((~calm(X)&curious(X))))<=>((~wise(paul)<~>~tall(paul))))&
(((~tall(paul)&~generous(paul)))=>(brave(john)))&
((~curious(john))<=>(?[X]:((~generous(X)|generous(X... | ~strong(john) | [
"p1",
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7165693550315990975481330
% SZS output start Proof for 7165693550315990975481330
2. ! [X0] : (~rich(X0) <=> (~generous(X0) <~> ~strong(X0))) [input p1]
3. ? [X0] : ~rich(X0) => ? [X0] : (~patient(X0) & ~strong(X0)) [input p2]
7. ! [X0] : ((patient(X0) | ~old(X0)) <=> old(X0)) [input p6]
1... | 0 |
If paul is either quiet or generous then john is not strong.
Everyone who is both not creative and old is not strong or old.
If someone is either calm or quiet then alice is not strong or not calm and vice versa.
If someone is both not old and patient then paul is both not quiet and not patient and vice versa.
Everyone... | Lucy is humble. | neutral | (((quiet(paul)<~>generous(paul)))=>(~strong(john)))&
(![X]:((~creative(X)&old(X))=>(~strong(X)|old(X))))&
((?[X]:((calm(X)<~>quiet(X))))<=>((~strong(alice)|~calm(alice))))&
((?[X]:((~old(X)&patient(X))))<=>((~quiet(paul)&~patient(paul))))&
(![X]:(~calm(X)<=>(brave(X)<~>~happy(X))))&
(![X]:((creative(X)<~>~rich(X))<=>hu... | humble(lucy) | [] | null | 0 |
Everyone who is strong is either not tall or not quiet and vice versa.
If someone is either not brave or not generous then someone is both not brave and brave and vice versa.
Everyone who is either not kind or creative is not funny or not quiet.
If someone is both calm and quiet then alice is either generous or quiet a... | Mary is patient. | entailment | (![X]:(strong(X)<=>(~tall(X)<~>~quiet(X))))&
((?[X]:((~brave(X)<~>~generous(X))))<=>(?[X]:((~brave(X)&brave(X)))))&
(![X]:((~kind(X)<~>creative(X))=>(~funny(X)|~quiet(X))))&
((?[X]:((calm(X)&quiet(X))))<=>((generous(alice)<~>quiet(alice))))&
(![X]:((~strong(X)&funny(X))<=>(generous(X)&strong(X))))&
(![X]:((creative(X)&... | patient(mary) | [
"p0",
"p4",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2560539158281631460162876
% SZS output start Proof for 2560539158281631460162876
1. ! [X0] : (strong(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p0]
5. ! [X0] : ((funny(X0) & ~strong(X0)) <=> (strong(X0) & generous(X0))) [input p4]
8. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (~quiet(X0) |... | 0 |
If someone is not patient or wise then someone is not old.
Everyone who is tall or not humble is both not brave and curious.
If someone is either not calm or rich then fred is either not curious or not old and vice versa.
If fred is both not humble and funny then lucy is both happy and not curious and vice versa.
Every... | Lucy is strong. | neutral | ((?[X]:((~patient(X)|wise(X))))=>(?[X]:(~old(X))))&
(![X]:((tall(X)|~humble(X))=>(~brave(X)&curious(X))))&
((?[X]:((~calm(X)<~>rich(X))))<=>((~curious(fred)<~>~old(fred))))&
(((~humble(fred)&funny(fred)))<=>((happy(lucy)&~curious(lucy))))&
(![X]:((~old(X)&tall(X))<=>~brave(X)))&
(![X]:((~curious(X)&~patient(X))=>~brave... | strong(lucy) | [] | null | 0 |
If mary is not calm or old then someone is creative and vice versa.
Everyone who is curious or not quiet is curious or not humble and vice versa.
If someone is not quiet then someone is kind or humble.
If fred is either wise or not old then someone is either not patient or patient.
Everyone who is not old is both curio... | Alice is curious. | entailment | (((~calm(mary)|old(mary)))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)|~quiet(X))<=>(curious(X)|~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|humble(X)))))&
(((wise(fred)<~>~old(fred)))=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:(~old(X)=>(curious(X)&kind(X))))&
((?[X]:((brave(X)|~kind(X))))=>((humble(paul)<~>~... | curious(alice) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 318879938360062910212539
% SZS output start Proof for 318879938360062910212539
5. ! [X0] : (~old(X0) => (kind(X0) & curious(X0))) [input p4]
17. ~old(alice) & humble(alice) [input p16]
24. ~curious(alice) [input hypothesis]
30. ! [X0] : ((kind(X0) & curious(X0)) | old(X0)) [ennf transform... | 0 |
If someone is old or funny then mary is either not quiet or not wise and vice versa. Everyone who is either not strong or not tall is curious. If someone is not wise then someone is either not kind or quiet. Everyone who is both not patient and not humble is quiet. Everyone who is not kind is rich. Everyone who is eith... | Fred is quiet. | contradiction | ((?[X]:((old(X)|funny(X))))<=>((~quiet(mary)<~>~wise(mary))))&
(![X]:((~strong(X)<~>~tall(X))=>curious(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~patient(X)&~humble(X))=>quiet(X)))&
(![X]:(~kind(X)=>rich(X)))&
(![X]:((~patient(X)<~>~strong(X))<=>(~wise(X)<~>~curious(X))))&
(((calm(paul)&~creati... | quiet(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7732954794585229280610430
% SZS output start Proof for 7732954794585229280610430
13. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~happy(X0) & happy(X0))) [input p12]
23. quiet(fred) [input hypothesis]
55. ! [X0] : (((~strong(X0) | quiet(X0)) | (happy(X0) | ~happy(X0))) & ((~happy(X0) & happy... | 0 |
Everyone who is both not generous and not curious is either not happy or not kind and vice versa. If someone is both funny and humble then someone is either not calm or not curious. If someone is not strong or not kind then susan is both funny and not humble and vice versa. Everyone who is not humble is not funny and v... | Susan is not rich. | entailment | (![X]:((~generous(X)&~curious(X))<=>(~happy(X)<~>~kind(X))))&
((?[X]:((funny(X)&humble(X))))=>(?[X]:((~calm(X)<~>~curious(X)))))&
((?[X]:((~strong(X)|~kind(X))))<=>((funny(susan)&~humble(susan))))&
(![X]:(~humble(X)<=>~funny(X)))&
((~wise(mary))=>(tall(lucy)))&
(![X]:((creative(X)&~quiet(X))<=>(rich(X)<~>~strong(X))))&... | ~rich(susan) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3313497735346434836815436
% SZS output start Proof for 3313497735346434836815436
3. ? [X0] : (~kind(X0) | ~strong(X0)) <=> (~humble(susan) & funny(susan)) [input p2]
8. (strong(alice) | ~brave(alice)) => (~humble(susan) & ~wise(susan)) [input p7]
9. ! [X0] : ((~rich(X0) & tall(X0)) <=> (~... | 0 |
Everyone who is old or quiet is not tall. Everyone who is either not patient or not humble is not creative or old and vice versa. If alice is generous or rich then lucy is generous or not patient. Everyone who is calm or generous is either wise or not quiet. If someone is not rich or creative then alice is both not qui... | Alice is generous. | neutral | (![X]:((old(X)|quiet(X))=>~tall(X)))&
(![X]:((~patient(X)<~>~humble(X))<=>(~creative(X)|old(X))))&
(((generous(alice)|rich(alice)))=>((generous(lucy)|~patient(lucy))))&
(![X]:((calm(X)|generous(X))=>(wise(X)<~>~quiet(X))))&
((?[X]:((~rich(X)|creative(X))))<=>((~quiet(alice)&funny(alice))))&
(![X]:((~tall(X)&~curious(X)... | generous(alice) | [] | null | 0 |
If fred is funny then someone is old or happy.
Everyone who is humble or not strong is humble or not happy.
If someone is not happy or not calm then lucy is funny.
Everyone who is not rich or not strong is both not rich and not kind.
If someone is quiet then someone is not funny or wise.
Everyone who is either happy or... | Paul is not funny. | neutral | ((funny(fred))=>(?[X]:((old(X)|happy(X)))))&
(![X]:((humble(X)|~strong(X))=>(humble(X)|~happy(X))))&
((?[X]:((~happy(X)|~calm(X))))=>(funny(lucy)))&
(![X]:((~rich(X)|~strong(X))=>(~rich(X)&~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:((happy(X)<~>~funny(X))=>(rich(X)<~>patient(X))))&
(((wise(pa... | ~funny(paul) | [] | null | 0 |
Everyone who is not rich or not humble is tall and vice versa.
If alice is both kind and brave then someone is either not funny or not tall.
Everyone who is strong is both wise and not funny and vice versa.
Everyone who is brave is not creative or not tall and vice versa.
If fred is humble then susan is both not patien... | Susan is not creative. | neutral | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(((kind(alice)&brave(alice)))=>(?[X]:((~funny(X)<~>~tall(X)))))&
(![X]:(strong(X)<=>(wise(X)&~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)|~tall(X))))&
((humble(fred))<=>((~patient(susan)&happy(susan))))&
(![X]:((~brave(X)|~wise(X))=>~strong(X)))&
(![X]:((~patient(X)<~>humble(X... | ~creative(susan) | [] | null | 0 |
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