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 |
|---|---|---|---|---|---|---|---|
Everyone who is both not generous and generous is both humble and kind and vice versa.
Everyone who is not creative or not patient is either quiet or not humble and vice versa.
Everyone who is either old or humble is either brave or curious.
If alice is not funny then someone is both generous and tall and vice versa.
E... | Fred is brave. | contradiction | (![X]:((~generous(X)&generous(X))<=>(humble(X)&kind(X))))&
(![X]:((~creative(X)|~patient(X))<=>(quiet(X)<~>~humble(X))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)<~>curious(X))))&
((~funny(alice))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((rich(X)&kind(X))=>(calm(X)&creative(X))))&
(![X]:((kind(X)<~>tall(X))=>(~rich(X)|~... | brave(fred) | [
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8411229864606708570472122
% SZS output start Proof for 8411229864606708570472122
13. ? [X0] : (happy(X0) | brave(X0)) => (~rich(susan) & quiet(susan)) [input p12]
15. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (~humble(X0) & generous(X0))) [input p14]
23. ~generous(susan) | ~quiet(susan) [inpu... | 0 |
Everyone who is both wise and not old is both not generous and generous. Everyone who is not kind is both not humble and curious and vice versa. If susan is not brave or calm then someone is not brave and vice versa. Everyone who is funny or not creative is brave or not brave. If someone is not funny or tall then someo... | Paul is not calm. | entailment | (![X]:((wise(X)&~old(X))=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?[X]:((~funny(X)|tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~strong(X))=>(creative(X)|~strong(X))... | ~calm(paul) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8994112486375753191586754
% SZS output start Proof for 8994112486375753191586754
7. ! [X0] : (old(X0) => (tall(X0) & ~old(X0))) [input p6]
11. ! [X0] : ((~creative(X0) & old(X0)) <=> (calm(X0) | curious(X0))) [input p10]
23. calm(paul) [input hypothesis]
34. ! [X0] : ((tall(X0) & ~old(X0)... | 0 |
Everyone who is both not generous and not humble is old or tall and vice versa.
If fred is strong or funny then fred is funny and vice versa.
If paul is either not tall or not generous then fred is rich and vice versa.
If paul is both not funny and strong then someone is either old or generous.
Everyone who is either n... | Mary is calm. | neutral | (![X]:((~generous(X)&~humble(X))<=>(old(X)|tall(X))))&
(((strong(fred)|funny(fred)))<=>(funny(fred)))&
(((~tall(paul)<~>~generous(paul)))<=>(rich(fred)))&
(((~funny(paul)&strong(paul)))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((~funny(X)<~>wise(X))=>~creative(X)))&
((?[X]:((brave(X)|~brave(X))))<=>(?[X]:((~brave(X)<~>... | calm(mary) | [] | null | 0 |
If someone is either tall or quiet then john is not brave or creative.
Everyone who is both not funny and generous is happy or tall.
If paul is not tall then alice is both funny and not happy.
If someone is both wise and kind then fred is not rich or not patient and vice versa.
If alice is not happy or kind then someon... | Paul is tall. | neutral | ((?[X]:((tall(X)<~>quiet(X))))=>((~brave(john)|creative(john))))&
(![X]:((~funny(X)&generous(X))=>(happy(X)|tall(X))))&
((~tall(paul))=>((funny(alice)&~happy(alice))))&
((?[X]:((wise(X)&kind(X))))<=>((~rich(fred)|~patient(fred))))&
(((~happy(alice)|kind(alice)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~brave(X)|~tall(X... | tall(paul) | [] | null | 0 |
If someone is both not creative and rich then someone is old and vice versa.
Everyone who is both not creative and tall is either generous or quiet and vice versa.
If someone is both quiet and brave then susan is not wise and vice versa.
Everyone who is not wise is either not strong or not happy and vice versa.
Everyon... | Alice is not kind. | entailment | ((?[X]:((~creative(X)&rich(X))))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)&tall(X))<=>(generous(X)<~>quiet(X))))&
((?[X]:((quiet(X)&brave(X))))<=>(~wise(susan)))&
(![X]:(~wise(X)<=>(~strong(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~rich(X))=>happy(X)))&
(![X]:((~humble(X)&kind(X))=>(quiet(X)|~patient(X))))&
(((~brave(ali... | ~kind(alice) | [
"p6",
"p7",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5879379335967111787538212
% SZS output start Proof for 5879379335967111787538212
7. (creative(alice) & ~brave(alice)) <=> ~calm(alice) [input p6]
8. ! [X0] : ((patient(X0) <~> ~kind(X0)) => (calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (patient(X0) | ~s... | 0 |
Everyone who is either not tall or rich is not funny or not quiet. If susan is not wise or wise then fred is either curious or not brave. If fred is quiet then someone is both not quiet and not generous. Everyone who is both not strong and rich is either not old or not patient. Everyone who is not curious is quiet. Eve... | Susan is humble. | neutral | (![X]:((~tall(X)<~>rich(X))=>(~funny(X)|~quiet(X))))&
(((~wise(susan)|wise(susan)))=>((curious(fred)<~>~brave(fred))))&
((quiet(fred))=>(?[X]:((~quiet(X)&~generous(X)))))&
(![X]:((~strong(X)&rich(X))=>(~old(X)<~>~patient(X))))&
(![X]:(~curious(X)=>quiet(X)))&
(![X]:(~curious(X)<=>(quiet(X)|kind(X))))&
(((funny(lucy)|~r... | humble(susan) | [] | null | 0 |
Everyone who is not calm is both patient and humble.
Everyone who is both brave and old is either humble or not curious and vice versa.
Everyone who is either old or generous is not brave.
Everyone who is brave is either not curious or tall.
If someone is either not old or not rich then someone is either not brave or n... | Mary is not wise. | entailment | (![X]:(~calm(X)=>(patient(X)&humble(X))))&
(![X]:((brave(X)&old(X))<=>(humble(X)<~>~curious(X))))&
(![X]:((old(X)<~>generous(X))=>~brave(X)))&
(![X]:(brave(X)=>(~curious(X)<~>tall(X))))&
((?[X]:((~old(X)<~>~rich(X))))=>(?[X]:((~brave(X)<~>~curious(X)))))&
((?[X]:((~humble(X)<~>~strong(X))))<=>((curious(lucy)<~>rich(luc... | ~wise(mary) | [
"p1",
"p3",
"p7",
"p10",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 244256343016703404932834
% SZS output start Proof for 244256343016703404932834
2. ! [X0] : ((old(X0) & brave(X0)) <=> (humble(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : (brave(X0) => (~curious(X0) <~> tall(X0))) [input p3]
8. ? [X0] : (~happy(X0) | ~generous(X0)) => (~happy(mary) & ~ki... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either not funny or not rich is both not quiet and curious.
If someone is not calm then someone is both not generous and old.
If someone is brave or strong then paul is eith... | Paul is not rich. | contradiction | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~quiet(X)&curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~generous(X)&old(X)))))&
((?[X]:((brave(X)|strong(X))))<=>((~calm(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)&~... | ~rich(paul) | [
"p2",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8772831959343889109275386
% SZS output start Proof for 8772831959343889109275386
3. ! [X0] : ((~funny(X0) <~> ~rich(X0)) => (curious(X0) & ~quiet(X0))) [input p2]
8. ! [X0] : (brave(X0) <=> (~quiet(X0) <~> ~creative(X0))) [input p7]
13. ! [X0] : ((~creative(X0) & funny(X0)) <=> curious(X0... | 0 |
If fred is not tall then someone is not kind or kind and vice versa. Everyone who is rich or not happy is either not curious or not calm and vice versa. Everyone who is calm is either curious or strong. If mary is curious or kind then paul is not patient. Everyone who is not strong or patient is not generous and vice v... | Lucy is not wise. | neutral | ((~tall(fred))<=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:((rich(X)|~happy(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:(calm(X)=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~humbl... | ~wise(lucy) | [] | null | 0 |
Everyone who is either not happy or strong is both generous and not brave and vice versa.
If susan is either strong or not creative then someone is not patient or not happy.
Everyone who is not old or not brave is either not generous or calm and vice versa.
Everyone who is not tall is both not patient and not quiet.
Ev... | Paul is not generous. | contradiction | (![X]:((~happy(X)<~>strong(X))<=>(generous(X)&~brave(X))))&
(((strong(susan)<~>~creative(susan)))=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:((~old(X)|~brave(X))<=>(~generous(X)<~>calm(X))))&
(![X]:(~tall(X)=>(~patient(X)&~quiet(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((~kind(X)&~strong(X))<... | ~generous(paul) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p14",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3440386983033062891599282
% SZS output start Proof for 3440386983033062891599282
1. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (~brave(X0) & generous(X0))) [input p0]
4. ! [X0] : (~tall(X0) => (~quiet(X0) & ~patient(X0))) [input p3]
5. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~quiet(X0) <~>... | 0 |
Everyone who is either not humble or brave is both funny and not rich. Everyone who is either happy or creative is both rich and not calm. Everyone who is both quiet and curious is happy or tall and vice versa. If john is wise then john is patient. If someone is both brave and not curious then someone is either not str... | Paul is calm. | contradiction | (![X]:((~humble(X)<~>brave(X))=>(funny(X)&~rich(X))))&
(![X]:((happy(X)<~>creative(X))=>(rich(X)&~calm(X))))&
(![X]:((quiet(X)&curious(X))<=>(happy(X)|tall(X))))&
((wise(john))=>(patient(john)))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((funny(X)|~patient(X))<=>(~brave(X)&creative(... | calm(paul) | [
"p1",
"p2",
"p5",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3996717049391195465211833
% SZS output start Proof for 3996717049391195465211833
2. ! [X0] : ((happy(X0) <~> creative(X0)) => (~calm(X0) & rich(X0))) [input p1]
3. ! [X0] : ((curious(X0) & quiet(X0)) <=> (tall(X0) | happy(X0))) [input p2]
6. ! [X0] : ((~patient(X0) | funny(X0)) <=> (creat... | 0 |
If someone is both tall and strong then susan is both creative and brave.
If susan is not kind then alice is either not strong or not funny.
If john is either not generous or not humble then susan is rich or brave.
If mary is both not calm and not rich then someone is either old or not funny and vice versa.
If someone ... | Mary is patient. | entailment | ((?[X]:((tall(X)&strong(X))))=>((creative(susan)&brave(susan))))&
((~kind(susan))=>((~strong(alice)<~>~funny(alice))))&
(((~generous(john)<~>~humble(john)))=>((rich(susan)|brave(susan))))&
(((~calm(mary)&~rich(mary)))<=>(?[X]:((old(X)<~>~funny(X)))))&
((?[X]:((~tall(X)<~>curious(X))))=>(~generous(fred)))&
(![X]:((rich(... | patient(mary) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8866741603052184861674711
% SZS output start Proof for 8866741603052184861674711
9. ! [X0] : ((~kind(X0) | ~rich(X0)) <=> (patient(X0) & ~kind(X0))) [input p8]
13. ! [X0] : ((~rich(X0) | kind(X0)) => (~humble(X0) & humble(X0))) [input p12]
23. ~patient(mary) [input hypothesis]
37. ! [X0] ... | 0 |
If mary is happy or generous then someone is tall.
If john is both creative and rich then someone is either happy or not patient.
If alice is rich or wise then someone is calm or curious and vice versa.
Everyone who is not calm is either old or tall.
If someone is patient or happy then someone is either wise or kind.
I... | Mary is not happy. | entailment | (((happy(mary)|generous(mary)))=>(?[X]:(tall(X))))&
(((creative(john)&rich(john)))=>(?[X]:((happy(X)<~>~patient(X)))))&
(((rich(alice)|wise(alice)))<=>(?[X]:((calm(X)|curious(X)))))&
(![X]:(~calm(X)=>(old(X)<~>tall(X))))&
((?[X]:((patient(X)|happy(X))))=>(?[X]:((wise(X)<~>kind(X)))))&
((curious(lucy))=>(?[X]:(~tall(X))... | ~happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6399564185272998760232699
% SZS output start Proof for 6399564185272998760232699
10. ! [X0] : ((brave(X0) & happy(X0)) <=> ~brave(X0)) [input p9]
24. happy(mary) [input hypothesis]
61. ! [X0] : (((brave(X0) & happy(X0)) | brave(X0)) & (~brave(X0) | (~brave(X0) | ~happy(X0)))) [nnf transfo... | 0 |
If lucy is not funny or not curious then someone is either tall or kind.
If susan is old or strong then mary is curious or not wise.
If someone is both brave and creative then someone is not rich or not curious.
If someone is not rich then lucy is either strong or calm and vice versa.
If alice is both not quiet and cur... | Alice is not kind. | neutral | (((~funny(lucy)|~curious(lucy)))=>(?[X]:((tall(X)<~>kind(X)))))&
(((old(susan)|strong(susan)))=>((curious(mary)|~wise(mary))))&
((?[X]:((brave(X)&creative(X))))=>(?[X]:((~rich(X)|~curious(X)))))&
((?[X]:(~rich(X)))<=>((strong(lucy)<~>calm(lucy))))&
(((~quiet(alice)&curious(alice)))=>(?[X]:((~patient(X)&~strong(X)))))&
... | ~kind(alice) | [] | null | 0 |
If someone is either funny or not strong then alice is not brave or funny and vice versa.
Everyone who is not kind is not wise or rich.
Everyone who is either happy or not wise is either happy or generous.
Everyone who is either not wise or not old is not old.
If someone is not wise or happy then someone is either funn... | Mary is not happy. | entailment | ((?[X]:((funny(X)<~>~strong(X))))<=>((~brave(alice)|funny(alice))))&
(![X]:(~kind(X)=>(~wise(X)|rich(X))))&
(![X]:((happy(X)<~>~wise(X))=>(happy(X)<~>generous(X))))&
(![X]:((~wise(X)<~>~old(X))=>~old(X)))&
((?[X]:((~wise(X)|happy(X))))=>(?[X]:((funny(X)<~>calm(X)))))&
(((generous(lucy)|creative(lucy)))=>(?[X]:((~tall(X... | ~happy(mary) | [
"p2",
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 414733706996977286206959
% SZS output start Proof for 414733706996977286206959
3. ! [X0] : ((happy(X0) <~> ~wise(X0)) => (happy(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~wise(X0) <~> ~old(X0)) => ~old(X0)) [input p3]
12. (~generous(mary) | ~quiet(mary)) => ? [X0] : (patient(X0) & ~... | 0 |
If fred is either wise or not calm then susan is not generous or rich.
Everyone who is happy is not old or wise.
Everyone who is funny is not rich or wise.
Everyone who is not brave or brave is either strong or not brave.
Everyone who is brave or strong is either generous or funny and vice versa.
Everyone who is both n... | Paul is calm. | entailment | (((wise(fred)<~>~calm(fred)))=>((~generous(susan)|rich(susan))))&
(![X]:(happy(X)=>(~old(X)|wise(X))))&
(![X]:(funny(X)=>(~rich(X)|wise(X))))&
(![X]:((~brave(X)|brave(X))=>(strong(X)<~>~brave(X))))&
(![X]:((brave(X)|strong(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~tall(X)&~strong(X))=>(happy(X)&calm(X))))&
((?[X]:(gen... | calm(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7690452313547723182164418
% SZS output start Proof for 7690452313547723182164418
8. ! [X0] : ((~calm(X0) | wise(X0)) => (strong(X0) & ~strong(X0))) [input p7]
25. ~calm(paul) [input hypothesis]
38. ! [X0] : ((strong(X0) & ~strong(X0)) | (calm(X0) & ~wise(X0))) [ennf transformation 8]
101.... | 0 |
Everyone who is not happy is humble or not strong and vice versa. If john is not humble then paul is both not humble and kind. Everyone who is tall is curious. If someone is not calm then lucy is wise and vice versa. Everyone who is both not humble and patient is either not curious or not calm. Everyone who is both hum... | Lucy is tall. | neutral | (![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
((~humble(john))=>((~humble(paul)&kind(paul))))&
(![X]:(tall(X)=>curious(X)))&
((?[X]:(~calm(X)))<=>(wise(lucy)))&
(![X]:((~humble(X)&patient(X))=>(~curious(X)<~>~calm(X))))&
(![X]:((humble(X)&~creative(X))=>(~strong(X)&brave(X))))&
(![X]:((humble(X)|happy(X))=>(~tall(X)&gen... | tall(lucy) | [] | null | 0 |
If someone is both not generous and happy then mary is either not brave or old. If someone is not rich or not tall then mary is not old. If someone is both generous and not old then lucy is either not curious or not generous. Everyone who is either tall or kind is either kind or not kind and vice versa. Everyone who is... | Lucy is wise. | neutral | ((?[X]:((~generous(X)&happy(X))))=>((~brave(mary)<~>old(mary))))&
((?[X]:((~rich(X)|~tall(X))))=>(~old(mary)))&
((?[X]:((generous(X)&~old(X))))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>~stron... | wise(lucy) | [] | null | 0 |
If someone is either not rich or patient then alice is curious.
Everyone who is not rich is tall or not calm and vice versa.
Everyone who is not happy or not strong is both not funny and strong.
Everyone who is not curious is strong or quiet and vice versa.
Everyone who is not patient is either kind or creative and vic... | Mary is not curious. | entailment | ((?[X]:((~rich(X)<~>patient(X))))=>(curious(alice)))&
(![X]:(~rich(X)<=>(tall(X)|~calm(X))))&
(![X]:((~happy(X)|~strong(X))=>(~funny(X)&strong(X))))&
(![X]:(~curious(X)<=>(strong(X)|quiet(X))))&
(![X]:(~patient(X)<=>(kind(X)<~>creative(X))))&
(((~generous(paul)|~tall(paul)))<=>((~wise(paul)|humble(paul))))&
(![X]:((kin... | ~curious(mary) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3732427598956542517467501
% SZS output start Proof for 3732427598956542517467501
3. ! [X0] : ((~strong(X0) | ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p2]
4. ! [X0] : (~curious(X0) <=> (quiet(X0) | strong(X0))) [input p3]
22. curious(mary) [input hypothesis]
25. ! [X0] : ((strong(X... | 0 |
Everyone who is either old or not curious is not old or calm and vice versa.
Everyone who is either not humble or brave is not curious and vice versa.
If mary is either rich or not brave then someone is either quiet or not rich and vice versa.
Everyone who is either curious or funny is calm.
If someone is either curiou... | John is generous. | neutral | (![X]:((old(X)<~>~curious(X))<=>(~old(X)|calm(X))))&
(![X]:((~humble(X)<~>brave(X))<=>~curious(X)))&
(((rich(mary)<~>~brave(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(![X]:((curious(X)<~>funny(X))=>calm(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>(calm(john)))&
((~strong(alice))<=>((~creative(alice)|creative(alice))))&
... | generous(john) | [] | null | 0 |
If paul is both not curious and not brave then susan is both generous and not quiet and vice versa. If susan is not humble or not creative then mary is both not curious and not old. Everyone who is either old or rich is brave. Everyone who is kind is not strong or tall. Everyone who is either wise or kind is both patie... | Mary is generous. | neutral | (((~curious(paul)&~brave(paul)))<=>((generous(susan)&~quiet(susan))))&
(((~humble(susan)|~creative(susan)))=>((~curious(mary)&~old(mary))))&
(![X]:((old(X)<~>rich(X))=>brave(X)))&
(![X]:(kind(X)=>(~strong(X)|tall(X))))&
(![X]:((wise(X)<~>kind(X))=>(patient(X)&~strong(X))))&
(![X]:((~funny(X)|~old(X))<=>(~quiet(X)&gener... | generous(mary) | [] | null | 0 |
Everyone who is old is either not happy or not kind and vice versa.
Everyone who is curious is both not strong and humble.
Everyone who is not brave is humble and vice versa.
Everyone who is both not kind and not happy is both not curious and not patient and vice versa.
Everyone who is not creative or rich is not old a... | Paul is not calm. | entailment | (![X]:(old(X)<=>(~happy(X)<~>~kind(X))))&
(![X]:(curious(X)=>(~strong(X)&humble(X))))&
(![X]:(~brave(X)<=>humble(X)))&
(![X]:((~kind(X)&~happy(X))<=>(~curious(X)&~patient(X))))&
(![X]:((~creative(X)|rich(X))<=>~old(X)))&
(![X]:((~kind(X)|tall(X))<=>(calm(X)&~curious(X))))&
(![X]:(~rich(X)<=>(~happy(X)|rich(X))))&
(![X]... | ~calm(paul) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1880646074032083888593649
% SZS output start Proof for 1880646074032083888593649
1. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~kind(X0))) [input p0]
5. ! [X0] : ((rich(X0) | ~creative(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (rich(X0) | ~happy(X0))) [input p6]
9. ? [X0] : (~wi... | 0 |
Everyone who is both wise and curious is not old or not rich.
If someone is both funny and not tall then someone is not creative.
If lucy is old or brave then paul is strong and vice versa.
Everyone who is not quiet is either not tall or tall.
Everyone who is not quiet or wise is patient or generous.
If someone is calm... | Fred is not brave. | neutral | (![X]:((wise(X)&curious(X))=>(~old(X)|~rich(X))))&
((?[X]:((funny(X)&~tall(X))))=>(?[X]:(~creative(X))))&
(((old(lucy)|brave(lucy)))<=>(strong(paul)))&
(![X]:(~quiet(X)=>(~tall(X)<~>tall(X))))&
(![X]:((~quiet(X)|wise(X))=>(patient(X)|generous(X))))&
((?[X]:(calm(X)))=>((~happy(paul)|patient(paul))))&
((?[X]:((wise(X)&q... | ~brave(fred) | [] | null | 0 |
If someone is not humble or funny then fred is both not humble and not quiet. Everyone who is both happy and not patient is not old. Everyone who is humble is either old or kind. If someone is not creative or wise then someone is both old and not humble and vice versa. Everyone who is either not creative or patient is ... | Susan is not tall. | entailment | ((?[X]:((~humble(X)|funny(X))))=>((~humble(fred)&~quiet(fred))))&
(![X]:((happy(X)&~patient(X))=>~old(X)))&
(![X]:(humble(X)=>(old(X)<~>kind(X))))&
((?[X]:((~creative(X)|wise(X))))<=>(?[X]:((old(X)&~humble(X)))))&
(![X]:((~creative(X)<~>patient(X))<=>(generous(X)<~>kind(X))))&
((?[X]:((~rich(X)&~happy(X))))=>(?[X]:((~c... | ~tall(susan) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 843166608354381066497604
% SZS output start Proof for 843166608354381066497604
9. ? [X0] : (rich(X0) | ~patient(X0)) <=> (rich(susan) & ~tall(susan)) [input p8]
17. rich(susan) & ~funny(susan) [input p16]
25. tall(susan) [input hypothesis]
52. (? [X0] : (rich(X0) | ~patient(X0)) | (~rich(... | 0 |
Everyone who is either not rich or not strong is either not happy or generous and vice versa.
Everyone who is both generous and humble is both funny and wise.
Everyone who is not strong or not curious is humble.
If john is rich or strong then john is either not curious or not rich and vice versa.
If john is both brave ... | John is curious. | entailment | (![X]:((~rich(X)<~>~strong(X))<=>(~happy(X)<~>generous(X))))&
(![X]:((generous(X)&humble(X))=>(funny(X)&wise(X))))&
(![X]:((~strong(X)|~curious(X))=>humble(X)))&
(((rich(john)|strong(john)))<=>((~curious(john)<~>~rich(john))))&
(((brave(john)&~funny(john)))=>(~wise(susan)))&
((?[X]:((brave(X)&funny(X))))<=>(?[X]:((~ric... | curious(john) | [
"p2",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5377518892369063176411245
% SZS output start Proof for 5377518892369063176411245
3. ! [X0] : ((~curious(X0) | ~strong(X0)) => humble(X0)) [input p2]
8. ! [X0] : ((~brave(X0) | old(X0)) <=> (~calm(X0) & ~old(X0))) [input p7]
9. (old(john) | happy(john)) <=> ? [X0] : (old(X0) & kind(X0)) [i... | 0 |
If someone is humble then susan is both happy and not rich and vice versa. Everyone who is calm is both not calm and not strong. Everyone who is not curious is both not old and rich. If lucy is both curious and humble then someone is not funny or calm and vice versa. Everyone who is generous or curious is both strong a... | Susan is creative. | entailment | ((?[X]:(humble(X)))<=>((happy(susan)&~rich(susan))))&
(![X]:(calm(X)=>(~calm(X)&~strong(X))))&
(![X]:(~curious(X)=>(~old(X)&rich(X))))&
(((curious(lucy)&humble(lucy)))<=>(?[X]:((~funny(X)|calm(X)))))&
(![X]:((generous(X)|curious(X))=>(strong(X)&quiet(X))))&
(![X]:(~tall(X)<=>(curious(X)|wise(X))))&
(![X]:((~happy(X)|~r... | creative(susan) | [
"p0",
"p3",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7402335975060090014879870
% SZS output start Proof for 7402335975060090014879870
1. ? [X0] : humble(X0) <=> (~rich(susan) & happy(susan)) [input p0]
4. (humble(lucy) & curious(lucy)) <=> ? [X0] : (calm(X0) | ~funny(X0)) [input p3]
7. ! [X0] : ((~rich(X0) | ~happy(X0)) => (creative(X0) & ~... | 0 |
Everyone who is generous or not humble is either creative or wise. Everyone who is both strong and not patient is wise and vice versa. Everyone who is both creative and not old is both not creative and not quiet and vice versa. Everyone who is both not calm and not humble is not wise or funny and vice versa. If paul is... | John is tall. | contradiction | (![X]:((generous(X)|~humble(X))=>(creative(X)<~>wise(X))))&
(![X]:((strong(X)&~patient(X))<=>wise(X)))&
(![X]:((creative(X)&~old(X))<=>(~creative(X)&~quiet(X))))&
(![X]:((~calm(X)&~humble(X))<=>(~wise(X)|funny(X))))&
(((~funny(paul)<~>tall(paul)))=>(?[X]:((~humble(X)&humble(X)))))&
(![X]:((curious(X)|old(X))=>(curious(... | tall(john) | [
"p1",
"p2",
"p3",
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8147956023251126339946553
% SZS output start Proof for 8147956023251126339946553
2. ! [X0] : ((~patient(X0) & strong(X0)) <=> wise(X0)) [input p1]
3. ! [X0] : ((~old(X0) & creative(X0)) <=> (~quiet(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> (funny(X0) | ~w... | 0 |
Everyone who is both creative and funny is both brave and not creative. Everyone who is both not rich and creative is both quiet and strong. Everyone who is patient is creative or not old. Everyone who is not kind is curious or not funny and vice versa. If someone is both not strong and strong then someone is funny or ... | Alice is brave. | contradiction | (![X]:((creative(X)&funny(X))=>(brave(X)&~creative(X))))&
(![X]:((~rich(X)&creative(X))=>(quiet(X)&strong(X))))&
(![X]:(patient(X)=>(creative(X)|~old(X))))&
(![X]:(~kind(X)<=>(curious(X)|~funny(X))))&
((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((funny(X)|creative(X)))))&
(![X]:(quiet(X)<=>(~wise(X)&generous(X))))&
(((~ha... | brave(alice) | [
"p3",
"p4",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 836633168692548883309850
% SZS output start Proof for 836633168692548883309850
4. ! [X0] : (~kind(X0) <=> (~funny(X0) | curious(X0))) [input p3]
5. ? [X0] : (strong(X0) & ~strong(X0)) <=> ? [X0] : (creative(X0) | funny(X0)) [input p4]
12. ! [X0] : (brave(X0) => (happy(X0) <~> ~kind(X0))) ... | 0 |
Everyone who is either not kind or generous is both tall and quiet.
If mary is both curious and strong then fred is either funny or rich.
If mary is kind or not kind then someone is generous or not patient and vice versa.
Everyone who is not brave is not kind or strong.
Everyone who is both not wise and generous is eit... | Mary is creative. | neutral | (![X]:((~kind(X)<~>generous(X))=>(tall(X)&quiet(X))))&
(((curious(mary)&strong(mary)))=>((funny(fred)<~>rich(fred))))&
(((kind(mary)|~kind(mary)))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
(![X]:((~wise(X)&generous(X))=>(~kind(X)<~>old(X))))&
(![X]:((~happy(X)&kind(X))=>(~calm(X)|... | creative(mary) | [] | null | 0 |
Everyone who is not kind is both not quiet and humble and vice versa.
If someone is either brave or not wise then alice is tall and vice versa.
Everyone who is not curious is not generous or not curious and vice versa.
If someone is either not creative or old then someone is both generous and not rich and vice versa.
E... | Susan is creative. | entailment | (![X]:(~kind(X)<=>(~quiet(X)&humble(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(tall(alice)))&
(![X]:(~curious(X)<=>(~generous(X)|~curious(X))))&
((?[X]:((~creative(X)<~>old(X))))<=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:((~wise(X)|patient(X))=>(happy(X)&brave(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((brave(X)&calm(... | creative(susan) | [
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4934829647825561722232357
% SZS output start Proof for 4934829647825561722232357
5. ! [X0] : ((patient(X0) | ~wise(X0)) => (brave(X0) & happy(X0))) [input p4]
15. ! [X0] : ((creative(X0) <~> brave(X0)) <=> (creative(X0) & ~funny(X0))) [input p14]
20. strong(susan) & patient(susan) [input ... | 0 |
Everyone who is both not funny and rich is calm or not tall and vice versa.
Everyone who is both old and not generous is either not funny or not quiet.
Everyone who is not old or not happy is not patient or rich and vice versa.
Everyone who is quiet is not generous.
Everyone who is humble or wise is either not happy or... | Alice is patient. | entailment | (![X]:((~funny(X)&rich(X))<=>(calm(X)|~tall(X))))&
(![X]:((old(X)&~generous(X))=>(~funny(X)<~>~quiet(X))))&
(![X]:((~old(X)|~happy(X))<=>(~patient(X)|rich(X))))&
(![X]:(quiet(X)=>~generous(X)))&
(![X]:((humble(X)|wise(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:((~calm(X)|quiet(X))<=>humble(X)))&
(![X]:(patient(X)=>(humble(X... | patient(alice) | [
"p0",
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3820651802265289359834750
% SZS output start Proof for 3820651802265289359834750
1. ! [X0] : ((rich(X0) & ~funny(X0)) <=> (~tall(X0) | calm(X0))) [input p0]
5. ! [X0] : ((wise(X0) | humble(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p4]
6. ! [X0] : ((quiet(X0) | ~calm(X0)) <=> humble(X0))... | 0 |
If someone is happy then paul is humble or strong.
Everyone who is not quiet or happy is not generous.
If someone is patient or brave then paul is either calm or strong and vice versa.
Everyone who is either not happy or quiet is happy and vice versa.
If john is either happy or not patient then susan is not kind or not... | Alice is not wise. | neutral | ((?[X]:(happy(X)))=>((humble(paul)|strong(paul))))&
(![X]:((~quiet(X)|happy(X))=>~generous(X)))&
((?[X]:((patient(X)|brave(X))))<=>((calm(paul)<~>strong(paul))))&
(![X]:((~happy(X)<~>quiet(X))<=>happy(X)))&
(((happy(john)<~>~patient(john)))=>((~kind(susan)|~funny(susan))))&
((?[X]:((~generous(X)|~strong(X))))=>((~calm(... | ~wise(alice) | [] | null | 0 |
If someone is both not brave and rich then someone is not brave or not humble and vice versa.
If someone is not generous then someone is both not humble and not rich.
Everyone who is brave or not kind is not tall and vice versa.
If someone is both generous and not creative then someone is either not strong or humble.
E... | Susan is calm. | contradiction | ((?[X]:((~brave(X)&rich(X))))<=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:(~generous(X)))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((brave(X)|~kind(X))<=>~tall(X)))&
((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:(calm(X)=>~quiet(X)))&
(((~rich(fred)|~happy(fred)))=>((funny(mary)<~>rich(m... | calm(susan) | [
"p1",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2085715903768219331635982
% SZS output start Proof for 2085715903768219331635982
2. ? [X0] : ~generous(X0) => ? [X0] : (~rich(X0) & ~humble(X0)) [input p1]
7. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (~humble(X0) <~> humble(X0))) [input p6]
9. ? [X0] : (~funny(X0) & ~rich(X0)) <=> ? [X0] : ... | 0 |
Everyone who is not funny or funny is either curious or rich and vice versa. If someone is either not rich or creative then paul is both strong and not brave and vice versa. Everyone who is not wise is not humble and vice versa. Everyone who is either rich or curious is strong. Everyone who is wise or not tall is not c... | Mary is not funny. | neutral | (![X]:((~funny(X)|funny(X))<=>(curious(X)<~>rich(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((strong(paul)&~brave(paul))))&
(![X]:(~wise(X)<=>~humble(X)))&
(![X]:((rich(X)<~>curious(X))=>strong(X)))&
(![X]:((wise(X)|~tall(X))=>(~curious(X)|strong(X))))&
(![X]:(generous(X)<=>(tall(X)|~rich(X))))&
(![X]:((patient(X)|~ki... | ~funny(mary) | [] | null | 0 |
If mary is creative or not funny then someone is either quiet or not rich and vice versa.
If paul is both not brave and creative then john is wise and vice versa.
If someone is not funny then someone is not curious or old and vice versa.
Everyone who is either not brave or strong is happy or not wise and vice versa.
Ev... | Susan is kind. | neutral | (((creative(mary)|~funny(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(((~brave(paul)&creative(paul)))<=>(wise(john)))&
((?[X]:(~funny(X)))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(happy(X)|~wise(X))))&
(![X]:((happy(X)<~>~curious(X))=>(~rich(X)&kind(X))))&
(![X]:((~patient(X)&creative(X))<=>(~... | kind(susan) | [] | null | 0 |
If john is both rich and not rich then someone is either curious or old and vice versa.
Everyone who is happy is strong or humble and vice versa.
Everyone who is both kind and not rich is brave.
Everyone who is either tall or rich is tall.
Everyone who is both generous and not tall is either creative or generous.
Every... | Mary is generous. | neutral | (((rich(john)&~rich(john)))<=>(?[X]:((curious(X)<~>old(X)))))&
(![X]:(happy(X)<=>(strong(X)|humble(X))))&
(![X]:((kind(X)&~rich(X))=>brave(X)))&
(![X]:((tall(X)<~>rich(X))=>tall(X)))&
(![X]:((generous(X)&~tall(X))=>(creative(X)<~>generous(X))))&
(![X]:((happy(X)<~>~strong(X))<=>(~strong(X)<~>~kind(X))))&
(![X]:((humble... | generous(mary) | [] | null | 0 |
Everyone who is not creative or strong is brave or quiet.
If someone is quiet then fred is not old or humble.
If someone is both not brave and quiet then someone is not old or not quiet and vice versa.
If someone is both generous and old then mary is both not brave and not curious and vice versa.
Everyone who is not wi... | Susan is not creative. | entailment | (![X]:((~creative(X)|strong(X))=>(brave(X)|quiet(X))))&
((?[X]:(quiet(X)))=>((~old(fred)|humble(fred))))&
((?[X]:((~brave(X)&quiet(X))))<=>(?[X]:((~old(X)|~quiet(X)))))&
((?[X]:((generous(X)&old(X))))<=>((~brave(mary)&~curious(mary))))&
(![X]:(~wise(X)<=>(~old(X)&~creative(X))))&
(![X]:((funny(X)|~wise(X))=>generous(X)... | ~creative(susan) | [
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 262940874218678737914657
% SZS output start Proof for 262940874218678737914657
5. ! [X0] : (~wise(X0) <=> (~creative(X0) & ~old(X0))) [input p4]
8. (happy(susan) | patient(susan)) <=> (~calm(susan) & ~creative(susan)) [input p7]
11. ! [X0] : ((~creative(X0) <~> ~patient(X0)) <=> (~tall(X0... | 0 |
If someone is both not rich and old then someone is funny or calm.
Everyone who is funny or not tall is wise or brave.
If someone is both tall and funny then someone is both quiet and not quiet and vice versa.
If someone is not calm then someone is creative and vice versa.
Everyone who is strong or happy is generous an... | Alice is strong. | neutral | ((?[X]:((~rich(X)&old(X))))=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((funny(X)|~tall(X))=>(wise(X)|brave(X))))&
((?[X]:((tall(X)&funny(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(creative(X))))&
(![X]:((strong(X)|happy(X))<=>generous(X)))&
(![X]:((humble(X)&strong(X))<=>~patient(X)))&
(![X]:(~curio... | strong(alice) | [] | null | 0 |
Everyone who is either tall or not generous is brave. Everyone who is old is not old. If alice is wise then alice is either not creative or not quiet. Everyone who is either not funny or not old is not old or wise. Everyone who is either not generous or not curious is both quiet and not old. If someone is either genero... | Fred is not creative. | neutral | (![X]:((tall(X)<~>~generous(X))=>brave(X)))&
(![X]:(old(X)=>~old(X)))&
((wise(alice))=>((~creative(alice)<~>~quiet(alice))))&
(![X]:((~funny(X)<~>~old(X))=>(~old(X)|wise(X))))&
(![X]:((~generous(X)<~>~curious(X))=>(quiet(X)&~old(X))))&
((?[X]:((generous(X)<~>tall(X))))=>(?[X]:(wise(X))))&
(((~strong(lucy)|~funny(lucy))... | ~creative(fred) | [] | null | 0 |
If someone is both not rich and rich then someone is not patient or happy and vice versa. If susan is old or strong then mary is either not rich or not humble. Everyone who is either not happy or strong is either wise or quiet and vice versa. Everyone who is either brave or not quiet is strong or not tall. Everyone who... | Susan is not old. | entailment | ((?[X]:((~rich(X)&rich(X))))<=>(?[X]:((~patient(X)|happy(X)))))&
(((old(susan)|strong(susan)))=>((~rich(mary)<~>~humble(mary))))&
(![X]:((~happy(X)<~>strong(X))<=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>~quiet(X))=>(strong(X)|~tall(X))))&
(![X]:((~curious(X)|strong(X))<=>(~quiet(X)<~>~rich(X))))&
(((~happy(john)|kin... | ~old(susan) | [
"p0",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5433651032240155518163733
% SZS output start Proof for 5433651032240155518163733
1. ? [X0] : (rich(X0) & ~rich(X0)) <=> ? [X0] : (happy(X0) | ~patient(X0)) [input p0]
6. (kind(john) | ~happy(john)) => (~humble(susan) & kind(susan)) [input p5]
16. ! [X0] : ((kind(X0) & old(X0)) <=> (patien... | 0 |
Everyone who is both not humble and not kind is either not old or not wise and vice versa.
Everyone who is not creative is either calm or not funny.
Everyone who is not tall is not curious or not strong and vice versa.
If alice is funny then mary is strong or patient.
Everyone who is either old or not creative is eithe... | Mary is not strong. | neutral | (![X]:((~humble(X)&~kind(X))<=>(~old(X)<~>~wise(X))))&
(![X]:(~creative(X)=>(calm(X)<~>~funny(X))))&
(![X]:(~tall(X)<=>(~curious(X)|~strong(X))))&
((funny(alice))=>((strong(mary)|patient(mary))))&
(![X]:((old(X)<~>~creative(X))=>(strong(X)<~>~wise(X))))&
(![X]:((funny(X)&~quiet(X))<=>(humble(X)|creative(X))))&
(![X]:((... | ~strong(mary) | [] | null | 0 |
Everyone who is not tall or generous is both not curious and curious and vice versa.
Everyone who is not old or not strong is not patient.
If alice is patient or kind then fred is strong or not humble and vice versa.
If john is either calm or kind then susan is both patient and calm.
Everyone who is either tall or humb... | Paul is not rich. | entailment | (![X]:((~tall(X)|generous(X))<=>(~curious(X)&curious(X))))&
(![X]:((~old(X)|~strong(X))=>~patient(X)))&
(((patient(alice)|kind(alice)))<=>((strong(fred)|~humble(fred))))&
(((calm(john)<~>kind(john)))=>((patient(susan)&calm(susan))))&
(![X]:((tall(X)<~>humble(X))=>(~brave(X)&~old(X))))&
(![X]:((~brave(X)&~creative(X))=>... | ~rich(paul) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8329542369562534593668688
% SZS output start Proof for 8329542369562534593668688
1. ! [X0] : ((generous(X0) | ~tall(X0)) <=> (curious(X0) & ~curious(X0))) [input p0]
9. ! [X0] : ((generous(X0) <~> rich(X0)) => ~rich(X0)) [input p8]
24. rich(paul) [input hypothesis]
30. ! [X0] : (~rich(X0)... | 0 |
If someone is not creative then someone is both not brave and not rich and vice versa.
If someone is both not kind and not humble then mary is either humble or not funny and vice versa.
If fred is either not wise or not quiet then susan is both not kind and strong.
Everyone who is not brave or not wise is both not calm... | Paul is not tall. | entailment | ((?[X]:(~creative(X)))<=>(?[X]:((~brave(X)&~rich(X)))))&
((?[X]:((~kind(X)&~humble(X))))<=>((humble(mary)<~>~funny(mary))))&
(((~wise(fred)<~>~quiet(fred)))=>((~kind(susan)&strong(susan))))&
(![X]:((~brave(X)|~wise(X))<=>(~calm(X)&~funny(X))))&
(![X]:((patient(X)&~calm(X))=>(~rich(X)<~>~brave(X))))&
(((quiet(alice)&~ri... | ~tall(paul) | [
"p3",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2616540318643763543643482
% SZS output start Proof for 2616540318643763543643482
4. ! [X0] : ((~wise(X0) | ~brave(X0)) <=> (~funny(X0) & ~calm(X0))) [input p3]
12. ! [X0] : ((funny(X0) & ~humble(X0)) <=> (tall(X0) | ~rich(X0))) [input p11]
14. (calm(john) | ~generous(john)) <=> ~wise(paul... | 0 |
If john is not curious then alice is not strong.
Everyone who is either not strong or not wise is humble or not happy.
Everyone who is not funny or not strong is rich.
Everyone who is either not kind or not wise is both calm and not funny.
If lucy is funny then someone is not tall or old.
If someone is either happy or ... | Susan is not wise. | entailment | ((~curious(john))=>(~strong(alice)))&
(![X]:((~strong(X)<~>~wise(X))=>(humble(X)|~happy(X))))&
(![X]:((~funny(X)|~strong(X))=>rich(X)))&
(![X]:((~kind(X)<~>~wise(X))=>(calm(X)&~funny(X))))&
((funny(lucy))=>(?[X]:((~tall(X)|old(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((curious(fred)|~strong(fred))))&
((?[X]:((~funny... | ~wise(susan) | [
"p2",
"p3",
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8713782912753229427638796
% SZS output start Proof for 8713782912753229427638796
3. ! [X0] : ((~strong(X0) | ~funny(X0)) => rich(X0)) [input p2]
4. ! [X0] : ((~kind(X0) <~> ~wise(X0)) => (~funny(X0) & calm(X0))) [input p3]
9. ! [X0] : ((calm(X0) | ~brave(X0)) <=> ~rich(X0)) [input p8]
15.... | 0 |
If someone is brave then alice is both not quiet and not calm.
Everyone who is rich or not curious is both not kind and rich.
Everyone who is patient or curious is either patient or creative and vice versa.
Everyone who is either not creative or not calm is both kind and quiet.
If mary is both kind and not quiet then s... | Mary is not quiet. | neutral | ((?[X]:(brave(X)))=>((~quiet(alice)&~calm(alice))))&
(![X]:((rich(X)|~curious(X))=>(~kind(X)&rich(X))))&
(![X]:((patient(X)|curious(X))<=>(patient(X)<~>creative(X))))&
(![X]:((~creative(X)<~>~calm(X))=>(kind(X)&quiet(X))))&
(((kind(mary)&~quiet(mary)))<=>(?[X]:((happy(X)<~>~calm(X)))))&
((creative(paul))=>((generous(lu... | ~quiet(mary) | [] | null | 0 |
If john is not old or brave then susan is both not calm and humble.
Everyone who is old or calm is not wise and vice versa.
Everyone who is not patient is either creative or not calm.
If lucy is not happy then alice is not creative or not generous.
Everyone who is not curious is both not rich and funny and vice versa.
... | Fred is brave. | contradiction | (((~old(john)|brave(john)))=>((~calm(susan)&humble(susan))))&
(![X]:((old(X)|calm(X))<=>~wise(X)))&
(![X]:(~patient(X)=>(creative(X)<~>~calm(X))))&
((~happy(lucy))=>((~creative(alice)|~generous(alice))))&
(![X]:(~curious(X)<=>(~rich(X)&funny(X))))&
((~happy(mary))=>(?[X]:((~wise(X)|~rich(X)))))&
((?[X]:(~happy(X)))=>(?... | brave(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2475959230031710274543360
% SZS output start Proof for 2475959230031710274543360
15. ! [X0] : ((rich(X0) | brave(X0)) => (quiet(X0) & ~quiet(X0))) [input p14]
22. brave(fred) [input hypothesis]
33. ! [X0] : ((quiet(X0) & ~quiet(X0)) | (~rich(X0) & ~brave(X0))) [ennf transformation 15]
94.... | 0 |
Everyone who is tall is not calm.
Everyone who is calm is either calm or humble and vice versa.
If someone is not quiet then fred is wise or not calm and vice versa.
If someone is both kind and not rich then someone is either not funny or not rich.
If fred is both calm and wise then someone is not creative or not quiet... | Alice is wise. | entailment | (![X]:(tall(X)=>~calm(X)))&
(![X]:(calm(X)<=>(calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))<=>((wise(fred)|~calm(fred))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(((calm(fred)&wise(fred)))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:((brave(X)|~wise(X))<=>curious(X)))&
(![X]:((rich(X)<~>~kind(X))=... | wise(alice) | [
"p1",
"p5",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5745632775717808643933887
% SZS output start Proof for 5745632775717808643933887
2. ! [X0] : (calm(X0) <=> (calm(X0) <~> humble(X0))) [input p1]
6. ! [X0] : ((~wise(X0) | brave(X0)) <=> curious(X0)) [input p5]
9. (patient(fred) <~> ~curious(fred)) <=> ? [X0] : tall(X0) [input p8]
12. ! [X... | 0 |
Everyone who is both rich and not happy is both not funny and strong. If someone is both not funny and funny then someone is not wise or not humble. Everyone who is both creative and not rich is brave or kind. If someone is both patient and not old then someone is not calm or humble. Everyone who is not humble or not c... | Lucy is curious. | neutral | (![X]:((rich(X)&~happy(X))=>(~funny(X)&strong(X))))&
((?[X]:((~funny(X)&funny(X))))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((creative(X)&~rich(X))=>(brave(X)|kind(X))))&
((?[X]:((patient(X)&~old(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~humble(X)|~curious(X))=>(~patient(X)&~tall(X))))&
((~quiet(fred))<=>(strong(... | curious(lucy) | [] | null | 0 |
If someone is both kind and calm then lucy is both not creative and not wise. If fred is both happy and not curious then alice is both generous and not creative and vice versa. If someone is rich or not brave then someone is not tall and vice versa. If someone is not funny or quiet then someone is not quiet. If someone... | Mary is kind. | contradiction | ((?[X]:((kind(X)&calm(X))))=>((~creative(lucy)&~wise(lucy))))&
(((happy(fred)&~curious(fred)))<=>((generous(alice)&~creative(alice))))&
((?[X]:((rich(X)|~brave(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((~funny(X)|quiet(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(~old(X)))=>((generous(mary)<~>brave(mary))))&
(![X]:(~curious(X)=>(~gen... | kind(mary) | [
"p4",
"p7",
"p10",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7127560135145434023192912
% SZS output start Proof for 7127560135145434023192912
5. ? [X0] : ~old(X0) => (generous(mary) <~> brave(mary)) [input p4]
8. ! [X0] : (patient(X0) <=> creative(X0)) [input p7]
11. ! [X0] : ((~calm(X0) | wise(X0)) <=> (patient(X0) & ~kind(X0))) [input p10]
13. ! ... | 0 |
Everyone who is either humble or curious is not curious or happy. If susan is calm or humble then john is not curious or not tall and vice versa. Everyone who is both not tall and wise is funny or old. Everyone who is both wise and not creative is generous or brave. Everyone who is old or not kind is both not calm and ... | Mary is humble. | neutral | (![X]:((humble(X)<~>curious(X))=>(~curious(X)|happy(X))))&
(((calm(susan)|humble(susan)))<=>((~curious(john)|~tall(john))))&
(![X]:((~tall(X)&wise(X))=>(funny(X)|old(X))))&
(![X]:((wise(X)&~creative(X))=>(generous(X)|brave(X))))&
(![X]:((old(X)|~kind(X))<=>(~calm(X)&wise(X))))&
(![X]:((strong(X)<~>~funny(X))<=>(~humble... | humble(mary) | [] | null | 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... | Paul is quiet. | 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(... | quiet(paul) | [] | null | 0 |
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then john is either not quiet or funny and vice versa.
Everyone who is not happy is not strong.
Everyone who is creative or not generous is not funny or not curious.
Everyone who is creative is creative or not generous and vice versa.
Ever... | Alice is tall. | neutral | (![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((~quiet(john)<~>funny(john))))&
(![X]:(~happy(X)=>~strong(X)))&
(![X]:((creative(X)|~generous(X))=>(~funny(X)|~curious(X))))&
(![X]:(creative(X)<=>(creative(X)|~generous(X))))&
(![X]:(funny(X)<=>~tall(X)))&
(![X]:((~calm(X)|curious(X))<=>~brave(X))... | tall(alice) | [] | null | 0 |
Everyone who is humble or curious is both not creative and not happy and vice versa.
Everyone who is both not creative and not brave is calm or brave and vice versa.
Everyone who is either calm or not curious is either not old or tall.
If someone is patient then john is either not funny or wise.
Everyone who is either ... | John is calm. | entailment | (![X]:((humble(X)|curious(X))<=>(~creative(X)&~happy(X))))&
(![X]:((~creative(X)&~brave(X))<=>(calm(X)|brave(X))))&
(![X]:((calm(X)<~>~curious(X))=>(~old(X)<~>tall(X))))&
((?[X]:(patient(X)))=>((~funny(john)<~>wise(john))))&
(![X]:((~generous(X)<~>~funny(X))=>(~curious(X)|~tall(X))))&
(![X]:((strong(X)|quiet(X))=>(~ric... | calm(john) | [
"p0",
"p1",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7682890770503557601955020
% SZS output start Proof for 7682890770503557601955020
1. ! [X0] : ((curious(X0) | humble(X0)) <=> (~happy(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((~brave(X0) & ~creative(X0)) <=> (brave(X0) | calm(X0))) [input p1]
13. ? [X0] : (quiet(X0) | ~creative(X0)) =... | 0 |
Everyone who is happy or not humble is not old and vice versa.
If mary is both not humble and not wise then someone is not generous.
Everyone who is either not brave or happy is calm or patient and vice versa.
Everyone who is either patient or not calm is either strong or creative and vice versa.
Everyone who is not st... | Mary is brave. | neutral | (![X]:((happy(X)|~humble(X))<=>~old(X)))&
(((~humble(mary)&~wise(mary)))=>(?[X]:(~generous(X))))&
(![X]:((~brave(X)<~>happy(X))<=>(calm(X)|patient(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(strong(X)<~>creative(X))))&
(![X]:(~strong(X)<=>(old(X)|~wise(X))))&
(((patient(john)<~>~rich(john)))=>(?[X]:(funny(X))))&
(![X]:((h... | brave(mary) | [] | null | 0 |
If someone is both not calm and creative then fred is both strong and not wise and vice versa.
If someone is both brave and not kind then lucy is either happy or not quiet and vice versa.
Everyone who is not creative or not tall is both happy and not patient and vice versa.
If someone is either brave or quiet then john... | Lucy is not wise. | entailment | ((?[X]:((~calm(X)&creative(X))))<=>((strong(fred)&~wise(fred))))&
((?[X]:((brave(X)&~kind(X))))<=>((happy(lucy)<~>~quiet(lucy))))&
(![X]:((~creative(X)|~tall(X))<=>(happy(X)&~patient(X))))&
((?[X]:((brave(X)<~>quiet(X))))=>((quiet(john)<~>~happy(john))))&
(((creative(paul)<~>old(paul)))<=>((tall(paul)|old(paul))))&
((?... | ~wise(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 332062265019496857343670
% SZS output start Proof for 332062265019496857343670
22. ~wise(lucy) & tall(lucy) [input p21]
24. wise(lucy) [input hypothesis]
171. ~wise(lucy) [cnf transformation 22]
173. wise(lucy) [cnf transformation 24]
419. $false [subsumption resolution 173,171]
% SZS out... | 0 |
Everyone who is curious is strong and vice versa.
Everyone who is not strong is not brave or old and vice versa.
Everyone who is both happy and patient is either not kind or brave.
If someone is not tall then someone is humble and vice versa.
If mary is generous or not patient then someone is humble or rich.
Everyone w... | Paul is not old. | contradiction | (![X]:(curious(X)<=>strong(X)))&
(![X]:(~strong(X)<=>(~brave(X)|old(X))))&
(![X]:((happy(X)&patient(X))=>(~kind(X)<~>brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(humble(X))))&
(((generous(mary)|~patient(mary)))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)|curious(X))))&
(![X]:((~rich(X)<~>brave(X))<... | ~old(paul) | [
"p2",
"p6",
"p11",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5711528485270931830609501
% SZS output start Proof for 5711528485270931830609501
3. ! [X0] : ((patient(X0) & happy(X0)) => (~kind(X0) <~> brave(X0))) [input p2]
7. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> kind(X0)) [input p6]
12. ! [X0] : ((patient(X0) <~> humble(X0)) <=> ~old(X0)) [input ... | 0 |
If alice is old or not creative then someone is calm and vice versa. If alice is not patient or not old then fred is not wise or not humble and vice versa. If someone is not brave then fred is not old or kind and vice versa. If john is not calm then someone is not wise or rich. Everyone who is not creative is both not ... | John is funny. | entailment | (((old(alice)|~creative(alice)))<=>(?[X]:(calm(X))))&
(((~patient(alice)|~old(alice)))<=>((~wise(fred)|~humble(fred))))&
((?[X]:(~brave(X)))<=>((~old(fred)|kind(fred))))&
((~calm(john))=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:(~creative(X)<=>(~wise(X)&wise(X))))&
(![X]:((~old(X)<~>patient(X))<=>(wise(X)<~>funny(X))))&
(((... | funny(john) | [
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2902414440193821442130029
% SZS output start Proof for 2902414440193821442130029
5. ! [X0] : (~creative(X0) <=> (wise(X0) & ~wise(X0))) [input p4]
8. ! [X0] : ((generous(X0) | ~patient(X0)) => ~brave(X0)) [input p7]
9. ? [X0] : (~strong(X0) | ~funny(X0)) <=> ? [X0] : (brave(X0) & ~curious... | 0 |
Everyone who is both not rich and patient is not curious or not strong.
If alice is either curious or funny then paul is both not quiet and not happy and vice versa.
Everyone who is either tall or strong is not generous and vice versa.
If someone is either not curious or old then someone is both not old and generous an... | Susan is not strong. | contradiction | (![X]:((~rich(X)&patient(X))=>(~curious(X)|~strong(X))))&
(((curious(alice)<~>funny(alice)))<=>((~quiet(paul)&~happy(paul))))&
(![X]:((tall(X)<~>strong(X))<=>~generous(X)))&
((?[X]:((~curious(X)<~>old(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(((creative(john)|r... | ~strong(susan) | [
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7586029874607905354370076
% SZS output start Proof for 7586029874607905354370076
11. ! [X0] : ((~strong(X0) <~> quiet(X0)) => (~rich(X0) & ~kind(X0))) [input p10]
13. ! [X0] : ((kind(X0) & strong(X0)) <=> (quiet(X0) | ~calm(X0))) [input p12]
18. ~rich(susan) <~> ~kind(susan) [input p17]
2... | 0 |
If mary is both curious and not wise then fred is both tall and curious.
If mary is not calm then mary is both not quiet and not kind and vice versa.
Everyone who is curious or wise is rich or calm.
If someone is not calm or tall then paul is curious and vice versa.
Everyone who is rich is either funny or strong.
If fr... | Lucy is happy. | neutral | (((curious(mary)&~wise(mary)))=>((tall(fred)&curious(fred))))&
((~calm(mary))<=>((~quiet(mary)&~kind(mary))))&
(![X]:((curious(X)|wise(X))=>(rich(X)|calm(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(curious(paul)))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((wise(fred)&humble(fred)))=>((~strong(alice)<~>tall(alice))))&
(![... | happy(lucy) | [] | null | 0 |
If someone is not brave or not quiet then fred is humble.
If someone is not quiet or calm then someone is creative.
Everyone who is tall or not creative is both not happy and not creative.
If someone is either not wise or strong then alice is both not humble and tall.
If someone is kind then paul is old and vice versa.... | Susan is not creative. | contradiction | ((?[X]:((~brave(X)|~quiet(X))))=>(humble(fred)))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:(creative(X))))&
(![X]:((tall(X)|~creative(X))=>(~happy(X)&~creative(X))))&
((?[X]:((~wise(X)<~>strong(X))))=>((~humble(alice)&tall(alice))))&
((?[X]:(kind(X)))<=>(old(paul)))&
(![X]:(~quiet(X)<=>(~creative(X)|~quiet(X))))&
(![X]:((~... | ~creative(susan) | [
"p2",
"p4",
"p5",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1752787575290498048637743
% SZS output start Proof for 1752787575290498048637743
3. ! [X0] : ((~creative(X0) | tall(X0)) => (~creative(X0) & ~happy(X0))) [input p2]
5. ? [X0] : kind(X0) <=> old(paul) [input p4]
6. ! [X0] : (~quiet(X0) <=> (~quiet(X0) | ~creative(X0))) [input p5]
9. ! [X0]... | 0 |
If someone is either curious or wise then someone is both not kind and not curious.
Everyone who is brave is not funny or not rich.
Everyone who is not rich or not quiet is rich or not humble and vice versa.
If someone is either not patient or not wise then someone is humble.
If mary is both not old and kind then someo... | John is curious. | contradiction | ((?[X]:((curious(X)<~>wise(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:(brave(X)=>(~funny(X)|~rich(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(rich(X)|~humble(X))))&
((?[X]:((~patient(X)<~>~wise(X))))=>(?[X]:(humble(X))))&
(((~old(mary)&kind(mary)))=>(?[X]:(kind(X))))&
((~curious(john))<=>(?[X]:(funny(X))))&
(![X]:((stron... | curious(john) | [
"p2",
"p5",
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8930784068549766994435399
% SZS output start Proof for 8930784068549766994435399
3. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> (~humble(X0) | rich(X0))) [input p2]
6. ~curious(john) <=> ? [X0] : funny(X0) [input p5]
10. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> (~patient(X0) <~> ~funny(X0))) [... | 0 |
Everyone who is both not wise and quiet is not funny.
Everyone who is old is both rich and humble and vice versa.
Everyone who is quiet is both curious and not happy.
If john is wise then paul is either old or not curious.
Everyone who is both quiet and not humble is brave.
Everyone who is not funny or not strong is bo... | Paul is generous. | neutral | (![X]:((~wise(X)&quiet(X))=>~funny(X)))&
(![X]:(old(X)<=>(rich(X)&humble(X))))&
(![X]:(quiet(X)=>(curious(X)&~happy(X))))&
((wise(john))=>((old(paul)<~>~curious(paul))))&
(![X]:((quiet(X)&~humble(X))=>brave(X)))&
(![X]:((~funny(X)|~strong(X))<=>(happy(X)&~strong(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>((old(paul)&~gen... | generous(paul) | [] | null | 0 |
Everyone who is rich or not creative is either generous or not calm. If someone is generous or wise then fred is not calm. If someone is creative then someone is either not patient or creative and vice versa. If someone is both generous and humble then mary is kind and vice versa. Everyone who is both curious and not w... | Lucy is not funny. | contradiction | (![X]:((rich(X)|~creative(X))=>(generous(X)<~>~calm(X))))&
((?[X]:((generous(X)|wise(X))))=>(~calm(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((~patient(X)<~>creative(X)))))&
((?[X]:((generous(X)&humble(X))))<=>(kind(mary)))&
(![X]:((curious(X)&~wise(X))=>(old(X)&~curious(X))))&
(![X]:(~tall(X)=>(generous(X)&~generous(X)))... | ~funny(lucy) | [
"p4",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1503449632932258737111079
% SZS output start Proof for 1503449632932258737111079
5. ! [X0] : ((~wise(X0) & curious(X0)) => (~curious(X0) & old(X0))) [input p4]
15. ? [X0] : (~rich(X0) & rich(X0)) <=> ? [X0] : ~curious(X0) [input p14]
17. funny(lucy) <~> ~wise(lucy) [input p16]
24. ~funny(... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is not calm.
If john is either patient or not old then john is generous or calm and vice versa.
If alice is curious or rich then someone is both funny and wise and vice versa.
If susan is happ... | Lucy is not calm. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:(~calm(X))))&
(((patient(john)<~>~old(john)))<=>((generous(john)|calm(john))))&
(((curious(alice)|rich(alice)))<=>(?[X]:((funny(X)&wise(X)))))&
((happy(susan))=>((~old(mary)|~wise(mary))))&
(![X]:((humble(X)|~rich(X))=>(~tall(X)&f... | ~calm(lucy) | [] | null | 0 |
If someone is either creative or not rich then someone is both patient and not old and vice versa.
Everyone who is old is either strong or not strong.
If alice is happy or rich then someone is not kind.
Everyone who is either creative or not humble is brave.
If john is both not funny and brave then someone is brave and... | Lucy is not brave. | entailment | ((?[X]:((creative(X)<~>~rich(X))))<=>(?[X]:((patient(X)&~old(X)))))&
(![X]:(old(X)=>(strong(X)<~>~strong(X))))&
(((happy(alice)|rich(alice)))=>(?[X]:(~kind(X))))&
(![X]:((creative(X)<~>~humble(X))=>brave(X)))&
(((~funny(john)&brave(john)))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)&~rich(X))<=>(brave(X)<~>quiet(X))))&
(!... | ~brave(lucy) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8528322811755616315932754
% SZS output start Proof for 8528322811755616315932754
5. (brave(john) & ~funny(john)) <=> ? [X0] : brave(X0) [input p4]
9. ! [X0] : ((generous(X0) | ~funny(X0)) => funny(X0)) [input p8]
25. brave(lucy) [input hypothesis]
32. ! [X0] : (funny(X0) | (~generous(X0) ... | 0 |
If someone is not humble or quiet then lucy is both calm and not generous and vice versa.
Everyone who is either strong or not generous is not rich.
If someone is both not funny and curious then susan is tall or old.
If alice is not creative or happy then lucy is not quiet or calm.
Everyone who is both funny and not hu... | Susan is kind. | neutral | ((?[X]:((~humble(X)|quiet(X))))<=>((calm(lucy)&~generous(lucy))))&
(![X]:((strong(X)<~>~generous(X))=>~rich(X)))&
((?[X]:((~funny(X)&curious(X))))=>((tall(susan)|old(susan))))&
(((~creative(alice)|happy(alice)))=>((~quiet(lucy)|calm(lucy))))&
(![X]:((funny(X)&~humble(X))=>(strong(X)&brave(X))))&
(![X]:((~quiet(X)|~rich... | kind(susan) | [] | null | 0 |
Everyone who is not quiet is not tall or curious.
Everyone who is curious is either not kind or not humble and vice versa.
If john is patient or not strong then fred is not old or not happy and vice versa.
Everyone who is either not rich or generous is calm or not funny and vice versa.
Everyone who is not quiet is not ... | John is old. | neutral | (![X]:(~quiet(X)=>(~tall(X)|curious(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(john)|~strong(john)))<=>((~old(fred)|~happy(fred))))&
(![X]:((~rich(X)<~>generous(X))<=>(calm(X)|~funny(X))))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((humble(X)|funny(X))<=>(calm(X)|kind(X))))&
(![X]:((~quiet(X)&~crea... | old(john) | [] | null | 0 |
Everyone who is patient or rich is both calm and wise. If lucy is either quiet or not wise then someone is either generous or happy. If susan is not quiet then someone is wise or old and vice versa. Everyone who is not funny is either curious or not kind. Everyone who is old or wise is both old and funny and vice versa... | Paul is not happy. | contradiction | (![X]:((patient(X)|rich(X))=>(calm(X)&wise(X))))&
(((quiet(lucy)<~>~wise(lucy)))=>(?[X]:((generous(X)<~>happy(X)))))&
((~quiet(susan))<=>(?[X]:((wise(X)|old(X)))))&
(![X]:(~funny(X)=>(curious(X)<~>~kind(X))))&
(![X]:((old(X)|wise(X))<=>(old(X)&funny(X))))&
((~humble(paul))<=>(?[X]:((happy(X)<~>quiet(X)))))&
(![X]:((tal... | ~happy(paul) | [
"p2",
"p5",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3593619767061118589317194
% SZS output start Proof for 3593619767061118589317194
3. ~quiet(susan) <=> ? [X0] : (old(X0) | wise(X0)) [input p2]
6. ~humble(paul) <=> ? [X0] : (happy(X0) <~> quiet(X0)) [input p5]
10. ! [X0] : ((old(X0) & humble(X0)) <=> ~happy(X0)) [input p9]
20. happy(susan... | 0 |
Everyone who is both creative and not tall is not generous and vice versa.
If someone is both brave and not generous then paul is humble or calm and vice versa.
Everyone who is either not funny or not patient is both funny and not curious and vice versa.
Everyone who is both not generous and patient is creative or calm... | Mary is not funny. | contradiction | (![X]:((creative(X)&~tall(X))<=>~generous(X)))&
((?[X]:((brave(X)&~generous(X))))<=>((humble(paul)|calm(paul))))&
(![X]:((~funny(X)<~>~patient(X))<=>(funny(X)&~curious(X))))&
(![X]:((~generous(X)&patient(X))=>(creative(X)|calm(X))))&
(((~strong(alice)<~>creative(alice)))<=>(?[X]:((kind(X)|happy(X)))))&
(![X]:((~old(X)|... | ~funny(mary) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2724178742517424485610570
% SZS output start Proof for 2724178742517424485610570
1. ! [X0] : ((~tall(X0) & creative(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((~funny(X0) <~> ~patient(X0)) <=> (~curious(X0) & funny(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | ~old(X0)) => (~curious(X0)... | 0 |
Everyone who is either not creative or not tall is not calm.
If someone is strong then someone is both not rich and curious and vice versa.
If lucy is quiet or patient then someone is strong or not tall.
If mary is kind or old then someone is not curious.
If someone is both humble and not brave then someone is both not... | Mary is not funny. | neutral | (![X]:((~creative(X)<~>~tall(X))=>~calm(X)))&
((?[X]:(strong(X)))<=>(?[X]:((~rich(X)&curious(X)))))&
(((quiet(lucy)|patient(lucy)))=>(?[X]:((strong(X)|~tall(X)))))&
(((kind(mary)|old(mary)))=>(?[X]:(~curious(X))))&
((?[X]:((humble(X)&~brave(X))))<=>(?[X]:((~quiet(X)&curious(X)))))&
((?[X]:((old(X)<~>~funny(X))))=>(?[X]... | ~funny(mary) | [] | null | 0 |
Everyone who is both happy and brave is both not generous and funny and vice versa. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble. If susan is generous then susan is happy and vice versa. If someone is both ... | Susan is strong. | contradiction | (![X]:((happy(X)&brave(X))<=>(~generous(X)&funny(X))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((curious(X)|wise(X))=>~curious... | strong(susan) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4748379521639581852865136
% SZS output start Proof for 4748379521639581852865136
1. ! [X0] : ((brave(X0) & happy(X0)) <=> (funny(X0) & ~generous(X0))) [input p0]
3. ! [X0] : ((wise(X0) <~> patient(X0)) => (~generous(X0) <~> ~humble(X0))) [input p2]
4. generous(susan) <=> happy(susan) [inp... | 0 |
Everyone who is not rich is both not generous and rich and vice versa.
Everyone who is both not rich and not wise is both wise and not funny.
If lucy is not brave or patient then alice is either strong or rich.
If john is calm then someone is both not strong and not creative and vice versa.
If mary is calm or quiet the... | Mary is not curious. | entailment | (![X]:(~rich(X)<=>(~generous(X)&rich(X))))&
(![X]:((~rich(X)&~wise(X))=>(wise(X)&~funny(X))))&
(((~brave(lucy)|patient(lucy)))=>((strong(alice)<~>rich(alice))))&
((calm(john))<=>(?[X]:((~strong(X)&~creative(X)))))&
(((calm(mary)|quiet(mary)))=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((quiet(X)&~wise(X))))=>((happy(ali... | ~curious(mary) | [
"p0",
"p4",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 851509994144969831616171
% SZS output start Proof for 851509994144969831616171
1. ! [X0] : (~rich(X0) <=> (rich(X0) & ~generous(X0))) [input p0]
5. (quiet(mary) | calm(mary)) => ? [X0] : (generous(X0) & ~wise(X0)) [input p4]
10. ! [X0] : ((curious(X0) | ~generous(X0)) => (humble(X0) <~> ~... | 0 |
If someone is both not generous and rich then john is either not wise or not kind and vice versa. If john is both kind and generous then someone is either curious or funny and vice versa. Everyone who is not creative or not happy is happy and vice versa. If alice is both tall and not wise then someone is happy or not s... | Lucy is not funny. | entailment | ((?[X]:((~generous(X)&rich(X))))<=>((~wise(john)<~>~kind(john))))&
(((kind(john)&generous(john)))<=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:((~creative(X)|~happy(X))<=>happy(X)))&
(((tall(alice)&~wise(alice)))=>(?[X]:((happy(X)|~strong(X)))))&
(![X]:(~strong(X)<=>quiet(X)))&
((?[X]:(~wise(X)))=>((quiet(fred)|~old(fred... | ~funny(lucy) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 560340965567474882758812
% SZS output start Proof for 560340965567474882758812
3. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> happy(X0)) [input p2]
7. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> happy(X0)) [input p6]
23. funny(lucy) [input hypothesis]
48. ! [X0] : (((~happy(X0) | ~creative(X... | 0 |
Everyone who is not old or wise is not tall or happy and vice versa.
Everyone who is both not happy and patient is both generous and not happy.
Everyone who is either not wise or humble is both not kind and not brave.
Everyone who is either brave or old is both not kind and strong and vice versa.
Everyone who is funny ... | Mary is not curious. | neutral | (![X]:((~old(X)|wise(X))<=>(~tall(X)|happy(X))))&
(![X]:((~happy(X)&patient(X))=>(generous(X)&~happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)&~brave(X))))&
(![X]:((brave(X)<~>old(X))<=>(~kind(X)&strong(X))))&
(![X]:(funny(X)=>(~patient(X)|~old(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((brave(X)&funny(X))<=>(... | ~curious(mary) | [] | null | 0 |
If mary is either generous or not calm then john is both not creative and patient and vice versa.
Everyone who is both happy and not strong is calm and vice versa.
If someone is not rich or not patient then susan is old and vice versa.
Everyone who is both generous and not creative is both old and rich.
Everyone who is... | Mary is not generous. | neutral | (((generous(mary)<~>~calm(mary)))<=>((~creative(john)&patient(john))))&
(![X]:((happy(X)&~strong(X))<=>calm(X)))&
((?[X]:((~rich(X)|~patient(X))))<=>(old(susan)))&
(![X]:((generous(X)&~creative(X))=>(old(X)&rich(X))))&
(![X]:((~creative(X)<~>~quiet(X))=>funny(X)))&
(![X]:(happy(X)=>(~wise(X)|~brave(X))))&
(((wise(susan... | ~generous(mary) | [] | null | 0 |
Everyone who is both humble and not calm is old or not tall and vice versa.
Everyone who is both old and strong is either not curious or kind.
If someone is both not curious and generous then someone is not funny and vice versa.
Everyone who is both calm and not old is wise or not tall.
Everyone who is either old or br... | Lucy is not curious. | neutral | (![X]:((humble(X)&~calm(X))<=>(old(X)|~tall(X))))&
(![X]:((old(X)&strong(X))=>(~curious(X)<~>kind(X))))&
((?[X]:((~curious(X)&generous(X))))<=>(?[X]:(~funny(X))))&
(![X]:((calm(X)&~old(X))=>(wise(X)|~tall(X))))&
(![X]:((old(X)<~>brave(X))=>(generous(X)&curious(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>~tall(X)))&
(![X]:(... | ~curious(lucy) | [] | null | 0 |
If fred is tall or not patient then paul is not kind or happy and vice versa. Everyone who is quiet is kind. Everyone who is either rich or funny is either strong or generous and vice versa. Everyone who is either tall or creative is quiet or not strong. Everyone who is both not tall and wise is not curious and vice ve... | Paul is not curious. | contradiction | (((tall(fred)|~patient(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:(quiet(X)=>kind(X)))&
(![X]:((rich(X)<~>funny(X))<=>(strong(X)<~>generous(X))))&
(![X]:((tall(X)<~>creative(X))=>(quiet(X)|~strong(X))))&
(![X]:((~tall(X)&wise(X))<=>~curious(X)))&
(![X]:(generous(X)<=>(brave(X)|old(X))))&
(![X]:((~rich(X)|brave(X))<=... | ~curious(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5798737951297405755689060
% SZS output start Proof for 5798737951297405755689060
3. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (strong(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((tall(X0) <~> creative(X0)) => (~strong(X0) | quiet(X0))) [input p3]
5. ! [X0] : ((wise(X0) & ~tall(X0)) <=> ~c... | 0 |
If susan is either strong or funny then someone is not wise or not tall. Everyone who is brave is either wise or not happy and vice versa. Everyone who is both not tall and happy is kind or not curious and vice versa. Everyone who is not tall is both not tall and funny and vice versa. If lucy is not calm or not creativ... | Susan is wise. | neutral | (((strong(susan)<~>funny(susan)))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:(brave(X)<=>(wise(X)<~>~happy(X))))&
(![X]:((~tall(X)&happy(X))<=>(kind(X)|~curious(X))))&
(![X]:(~tall(X)<=>(~tall(X)&funny(X))))&
(((~calm(lucy)|~creative(lucy)))<=>(?[X]:(calm(X))))&
(![X]:((tall(X)<~>kind(X))<=>humble(X)))&
(((~brave(lucy)|calm... | wise(susan) | [] | null | 0 |
Everyone who is either kind or not brave is tall.
If susan is both not happy and strong then fred is not old.
If someone is not humble or not quiet then someone is both strong and not wise and vice versa.
Everyone who is brave is not happy or patient and vice versa.
If someone is happy or kind then someone is not wise ... | Mary is old. | neutral | (![X]:((kind(X)<~>~brave(X))=>tall(X)))&
(((~happy(susan)&strong(susan)))=>(~old(fred)))&
((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(brave(X)<=>(~happy(X)|patient(X))))&
((?[X]:((happy(X)|kind(X))))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)<~>calm(X))<=>~quiet(X)))&
(![X]:((~patient(X)<~>h... | old(mary) | [] | null | 0 |
Everyone who is patient is happy and vice versa.
Everyone who is creative or not quiet is both generous and not generous and vice versa.
If someone is either not happy or not quiet then paul is not calm and vice versa.
If paul is not quiet or patient then lucy is both wise and not brave.
If someone is either not humble... | Susan is not funny. | entailment | (![X]:(patient(X)<=>happy(X)))&
(![X]:((creative(X)|~quiet(X))<=>(generous(X)&~generous(X))))&
((?[X]:((~happy(X)<~>~quiet(X))))<=>(~calm(paul)))&
(((~quiet(paul)|patient(paul)))=>((wise(lucy)&~brave(lucy))))&
((?[X]:((~humble(X)<~>~happy(X))))=>(?[X]:((~tall(X)<~>old(X)))))&
(![X]:(old(X)<=>(~quiet(X)&~humble(X))))&
(... | ~funny(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5895764734597636292739756
% SZS output start Proof for 5895764734597636292739756
7. ! [X0] : ((calm(X0) <~> ~funny(X0)) <=> ~calm(X0)) [input p6]
22. funny(susan) [input hypothesis]
42. ! [X0] : ((((funny(X0) | ~calm(X0)) & (~funny(X0) | calm(X0))) | calm(X0)) & (~calm(X0) | ((calm(X0) | ... | 0 |
If lucy is quiet then paul is curious.
If alice is not patient or not calm then someone is rich.
If lucy is both rich and not tall then someone is both tall and not quiet.
If someone is patient or creative then paul is either kind or patient and vice versa.
If fred is brave then paul is either quiet or not kind and vic... | Mary is quiet. | contradiction | ((quiet(lucy))=>(curious(paul)))&
(((~patient(alice)|~calm(alice)))=>(?[X]:(rich(X))))&
(((rich(lucy)&~tall(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
((?[X]:((patient(X)|creative(X))))<=>((kind(paul)<~>patient(paul))))&
((brave(fred))<=>((quiet(paul)<~>~kind(paul))))&
(![X]:((quiet(X)|~curious(X))<=>(~wise(X)|tall(X))))&... | quiet(mary) | [
"p6",
"p7",
"p12",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2253967348377977565772425
% SZS output start Proof for 2253967348377977565772425
7. ! [X0] : (~rich(X0) => (humble(X0) | rich(X0))) [input p6]
8. tall(mary) <=> (~rich(mary) | ~quiet(mary)) [input p7]
13. ! [X0] : ((~funny(X0) | humble(X0)) <=> (quiet(X0) & ~humble(X0))) [input p12]
19. ~... | 0 |
Everyone who is either strong or not calm is wise or not humble.
If paul is not generous or not strong then someone is both not humble and tall and vice versa.
Everyone who is either old or generous is either not calm or not creative and vice versa.
Everyone who is not patient or patient is both tall and not humble and... | John is curious. | entailment | (![X]:((strong(X)<~>~calm(X))=>(wise(X)|~humble(X))))&
(((~generous(paul)|~strong(paul)))<=>(?[X]:((~humble(X)&tall(X)))))&
(![X]:((old(X)<~>generous(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:((~patient(X)|patient(X))<=>(tall(X)&~humble(X))))&
(![X]:((~tall(X)|kind(X))<=>~happy(X)))&
(![X]:((~curious(X)|happy(X))=>(stro... | curious(john) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4065375674340034784779277
% SZS output start Proof for 4065375674340034784779277
4. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~humble(X0) & tall(X0))) [input p3]
6. ! [X0] : ((happy(X0) | ~curious(X0)) => (~tall(X0) & strong(X0))) [input p5]
24. ~curious(john) [input hypothesis]
29. ! [... | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Susan is creative. | neutral | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | creative(susan) | [] | null | 0 |
Everyone who is not happy or not quiet is both patient and not wise and vice versa.
Everyone who is not funny or not generous is funny or not old and vice versa.
If mary is not curious then someone is not creative or rich and vice versa.
If susan is wise then someone is rich.
Everyone who is calm is either curious or h... | Mary is not calm. | entailment | (![X]:((~happy(X)|~quiet(X))<=>(patient(X)&~wise(X))))&
(![X]:((~funny(X)|~generous(X))<=>(funny(X)|~old(X))))&
((~curious(mary))<=>(?[X]:((~creative(X)|rich(X)))))&
((wise(susan))=>(?[X]:(rich(X))))&
(![X]:(calm(X)=>(curious(X)<~>humble(X))))&
(![X]:((~generous(X)|~kind(X))<=>(~calm(X)|creative(X))))&
(((~rich(alice)|... | ~calm(mary) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3441920924768247261582843
% SZS output start Proof for 3441920924768247261582843
1. ! [X0] : ((~quiet(X0) | ~happy(X0)) <=> (~wise(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> (~old(X0) | funny(X0))) [input p1]
3. ~curious(mary) <=> ? [X0] : (rich(X0) | ~cr... | 0 |
If alice is either not wise or calm then someone is strong and vice versa. Everyone who is either tall or not brave is not wise and vice versa. Everyone who is rich is not rich or generous and vice versa. If someone is both not rich and not old then someone is not brave. Everyone who is either happy or not old is old o... | Susan is not tall. | contradiction | (((~wise(alice)<~>calm(alice)))<=>(?[X]:(strong(X))))&
(![X]:((tall(X)<~>~brave(X))<=>~wise(X)))&
(![X]:(rich(X)<=>(~rich(X)|generous(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:(~brave(X))))&
(![X]:((happy(X)<~>~old(X))<=>(old(X)|calm(X))))&
(![X]:(old(X)<=>(~rich(X)&~curious(X))))&
(![X]:((strong(X)&~patient(X))<=>(~r... | ~tall(susan) | [
"p2",
"p4",
"p5",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7629898300769343763620097
% SZS output start Proof for 7629898300769343763620097
3. ! [X0] : (rich(X0) <=> (generous(X0) | ~rich(X0))) [input p2]
5. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> (calm(X0) | old(X0))) [input p4]
6. ! [X0] : (old(X0) <=> (~curious(X0) & ~rich(X0))) [input p5]
8. !... | 0 |
If someone is either strong or wise then mary is either not creative or strong.
If alice is creative then someone is not kind or old and vice versa.
Everyone who is either strong or not happy is not funny and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is either not humble or not st... | Mary is tall. | contradiction | ((?[X]:((strong(X)<~>wise(X))))=>((~creative(mary)<~>strong(mary))))&
((creative(alice))<=>(?[X]:((~kind(X)|old(X)))))&
(![X]:((strong(X)<~>~happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((~humble(X)<~>~strong(X))<=>~tall(X)))&
(![X]:(~strong(X)=>(~kind(X)&tall(X))))&
(((~happy(susan)<~>wise(susan)... | tall(mary) | [
"p4",
"p5",
"p8",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1551166034354961334670847
% SZS output start Proof for 1551166034354961334670847
5. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> ~tall(X0)) [input p4]
6. ! [X0] : (~strong(X0) => (tall(X0) & ~kind(X0))) [input p5]
9. ! [X0] : ((~kind(X0) | humble(X0)) => (~happy(X0) & brave(X0))) [input p8... | 0 |
Everyone who is not strong or not quiet is old. If someone is not generous then alice is tall or humble. If someone is not happy then someone is both not generous and not humble. If someone is both brave and not humble then someone is humble and vice versa. If john is not quiet or not brave then lucy is both brave and ... | Lucy is calm. | entailment | (![X]:((~strong(X)|~quiet(X))=>old(X)))&
((?[X]:(~generous(X)))=>((tall(alice)|humble(alice))))&
((?[X]:(~happy(X)))=>(?[X]:((~generous(X)&~humble(X)))))&
((?[X]:((brave(X)&~humble(X))))<=>(?[X]:(humble(X))))&
(((~quiet(john)|~brave(john)))<=>((brave(lucy)&calm(lucy))))&
(((~rich(susan)<~>~old(susan)))<=>((~brave(lucy)... | calm(lucy) | [
"p4",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6370352163242651725448750
% SZS output start Proof for 6370352163242651725448750
5. (~brave(john) | ~quiet(john)) <=> (calm(lucy) & brave(lucy)) [input p4]
11. ! [X0] : ((strong(X0) & quiet(X0)) <=> (quiet(X0) | patient(X0))) [input p10]
21. ~strong(john) [input p20]
24. ~calm(lucy) [inpu... | 0 |
Everyone who is both quiet and not brave is quiet or not generous and vice versa.
If someone is both not happy and wise then alice is calm or not kind and vice versa.
Everyone who is happy is both not wise and not rich and vice versa.
If john is quiet or humble then someone is old.
Everyone who is either not calm or cu... | John is not humble. | neutral | (![X]:((quiet(X)&~brave(X))<=>(quiet(X)|~generous(X))))&
((?[X]:((~happy(X)&wise(X))))<=>((calm(alice)|~kind(alice))))&
(![X]:(happy(X)<=>(~wise(X)&~rich(X))))&
(((quiet(john)|humble(john)))=>(?[X]:(old(X))))&
(![X]:((~calm(X)<~>curious(X))<=>(patient(X)|~strong(X))))&
(![X]:((old(X)<~>~happy(X))=>(~patient(X)&~calm(X)... | ~humble(john) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or not curious 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... | Fred is humble. | contradiction | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|~curious(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))))... | humble(fred) | [
"p0",
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4570781552586980831703061
% SZS output start Proof for 4570781552586980831703061
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich... | 0 |
If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If someone is both funny and happy then someone is both brave and happy. Everyone who is either not funn... | Susan is curious. | contradiction | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(happy(X)&~old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~humble(X... | curious(susan) | [
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8897432866888341631531750
% SZS output start Proof for 8897432866888341631531750
2. ! [X0] : ((curious(X0) | ~old(X0)) => (~strong(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (~old(X0) & happy(X0))) [input p4]
9. ! [X0] : ((happy(X0) & quiet(X0)) <=> ~strong(X... | 0 |
Everyone who is tall is either not funny or not old and vice versa. If fred is kind then someone is generous or not tall and vice versa. Everyone who is not rich or kind is both not funny and quiet and vice versa. If someone is not calm or not rich then john is both humble and not quiet. If alice is both happy and not ... | Lucy is kind. | entailment | (![X]:(tall(X)<=>(~funny(X)<~>~old(X))))&
((kind(fred))<=>(?[X]:((generous(X)|~tall(X)))))&
(![X]:((~rich(X)|kind(X))<=>(~funny(X)&quiet(X))))&
((?[X]:((~calm(X)|~rich(X))))=>((humble(john)&~quiet(john))))&
(((happy(alice)&~funny(alice)))<=>(~old(susan)))&
((?[X]:((~wise(X)&strong(X))))=>(?[X]:((~funny(X)|generous(X)))... | kind(lucy) | [
"p2",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 406245030107988050948239
% SZS output start Proof for 406245030107988050948239
3. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (quiet(X0) & ~funny(X0))) [input p2]
4. ? [X0] : (~rich(X0) | ~calm(X0)) => (~quiet(john) & humble(john)) [input p3]
10. ! [X0] : ((kind(X0) & brave(X0)) <=> (~quiet(X0) ... | 0 |
Everyone who is both not generous and not calm is not strong and vice versa.
Everyone who is either not funny or old is not brave or not tall.
Everyone who is either brave or not strong is strong.
Everyone who is not kind is not tall or strong.
Everyone who is not quiet is strong or tall and vice versa.
Everyone who is... | Mary is humble. | neutral | (![X]:((~generous(X)&~calm(X))<=>~strong(X)))&
(![X]:((~funny(X)<~>old(X))=>(~brave(X)|~tall(X))))&
(![X]:((brave(X)<~>~strong(X))=>strong(X)))&
(![X]:(~kind(X)=>(~tall(X)|strong(X))))&
(![X]:(~quiet(X)<=>(strong(X)|tall(X))))&
(![X]:((funny(X)<~>~strong(X))=>(~brave(X)&~wise(X))))&
(((strong(lucy)&~humble(lucy)))<=>(?... | humble(mary) | [] | null | 0 |
Everyone who is either not brave or strong is not quiet or rich and vice versa.
Everyone who is either not humble or not tall is patient or not quiet and vice versa.
Everyone who is not patient is either not funny or not creative and vice versa.
Everyone who is both not tall and not curious is either tall or kind and v... | Susan is not strong. | entailment | (![X]:((~brave(X)<~>strong(X))<=>(~quiet(X)|rich(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(patient(X)|~quiet(X))))&
(![X]:(~patient(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:((~tall(X)&~curious(X))<=>(tall(X)<~>kind(X))))&
(![X]:(calm(X)=>rich(X)))&
(((happy(alice)&~tall(alice)))<=>(?[X]:((~humble(X)|strong(X)))))&
((?[X... | ~strong(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 542864886489551002254415
% SZS output start Proof for 542864886489551002254415
17. ~strong(susan) [input p16]
24. strong(susan) [input hypothesis]
144. ~strong(susan) [cnf transformation 17]
155. strong(susan) [cnf transformation 24]
206. 11 <=> strong(susan) [avatar definition]
322. ~11 ... | 0 |
If susan is either not happy or not humble then alice is not quiet or patient.
Everyone who is quiet or not kind is not wise.
If someone is both not tall and quiet then alice is not curious.
If someone is both patient and not creative then john is either generous or wise and vice versa.
If someone is humble then susan ... | Paul is not kind. | entailment | (((~happy(susan)<~>~humble(susan)))=>((~quiet(alice)|patient(alice))))&
(![X]:((quiet(X)|~kind(X))=>~wise(X)))&
((?[X]:((~tall(X)&quiet(X))))=>(~curious(alice)))&
((?[X]:((patient(X)&~creative(X))))<=>((generous(john)<~>wise(john))))&
((?[X]:(humble(X)))=>((strong(susan)|old(susan))))&
(![X]:(kind(X)<=>(~calm(X)|creati... | ~kind(paul) | [
"p2",
"p5",
"p7",
"p9",
"p11",
"p13",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 755456855726914428522541
% SZS output start Proof for 755456855726914428522541
3. ? [X0] : (quiet(X0) & ~tall(X0)) => ~curious(alice) [input p2]
6. ! [X0] : (kind(X0) <=> (creative(X0) | ~calm(X0))) [input p5]
8. ! [X0] : ((~happy(X0) & ~rich(X0)) <=> (~creative(X0) <~> tall(X0))) [input ... | 0 |
Everyone who is not quiet is not rich or not kind. If paul is not strong then someone is not old or not kind. If lucy is generous then alice is either not rich or humble and vice versa. Everyone who is either not generous or not quiet is creative or not tall. Everyone who is both quiet and brave is funny or not rich an... | Paul is not strong. | neutral | (![X]:(~quiet(X)=>(~rich(X)|~kind(X))))&
((~strong(paul))=>(?[X]:((~old(X)|~kind(X)))))&
((generous(lucy))<=>((~rich(alice)<~>humble(alice))))&
(![X]:((~generous(X)<~>~quiet(X))=>(creative(X)|~tall(X))))&
(![X]:((quiet(X)&brave(X))<=>(funny(X)|~rich(X))))&
(![X]:((brave(X)<~>~kind(X))<=>(happy(X)<~>~kind(X))))&
(![X]:(... | ~strong(paul) | [] | null | 0 |
Everyone who is patient or old is both not quiet and not kind. Everyone who is creative is rich and vice versa. Everyone who is not old is not kind and vice versa. Everyone who is not funny is kind and vice versa. If someone is wise or not generous then john is both kind and not brave and vice versa. If someone is both... | Susan is rich. | contradiction | (![X]:((patient(X)|old(X))=>(~quiet(X)&~kind(X))))&
(![X]:(creative(X)<=>rich(X)))&
(![X]:(~old(X)<=>~kind(X)))&
(![X]:(~funny(X)<=>kind(X)))&
((?[X]:((wise(X)|~generous(X))))<=>((kind(john)&~brave(john))))&
((?[X]:((funny(X)&~quiet(X))))<=>((~curious(alice)|~patient(alice))))&
((wise(fred))=>(~happy(lucy)))&
(((~humbl... | rich(susan) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1417260663877065826847809
% SZS output start Proof for 1417260663877065826847809
1. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & ~quiet(X0))) [input p0]
2. ! [X0] : (creative(X0) <=> rich(X0)) [input p1]
3. ! [X0] : (~old(X0) <=> ~kind(X0)) [input p2]
5. ? [X0] : (~generous(X0) | wis... | 0 |
If someone is both not rich and not kind then someone is funny or not quiet.
If alice is humble then someone is either not curious or not happy and vice versa.
Everyone who is both not generous and not patient is either not happy or generous.
If mary is either not funny or not generous then someone is quiet and vice ve... | Mary is not happy. | entailment | ((?[X]:((~rich(X)&~kind(X))))=>(?[X]:((funny(X)|~quiet(X)))))&
((humble(alice))<=>(?[X]:((~curious(X)<~>~happy(X)))))&
(![X]:((~generous(X)&~patient(X))=>(~happy(X)<~>generous(X))))&
(((~funny(mary)<~>~generous(mary)))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)<~>~strong(X))=>quiet(X)))&
((?[X]:((rich(X)<~>calm(X))))=>(... | ~happy(mary) | [
"p2",
"p4",
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6064796134791604609386329
% SZS output start Proof for 6064796134791604609386329
3. ! [X0] : ((~patient(X0) & ~generous(X0)) => (~happy(X0) <~> generous(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> ~strong(X0)) => quiet(X0)) [input p4]
8. ! [X0] : ((strong(X0) | humble(X0)) => (~tall(X... | 0 |
Everyone who is both not creative and not curious is not happy or creative.
Everyone who is either not brave or not calm is either calm or creative and vice versa.
Everyone who is humble or not curious is both quiet and not tall.
Everyone who is both not funny and not kind is both curious and not funny and vice versa.
... | John is creative. | contradiction | (![X]:((~creative(X)&~curious(X))=>(~happy(X)|creative(X))))&
(![X]:((~brave(X)<~>~calm(X))<=>(calm(X)<~>creative(X))))&
(![X]:((humble(X)|~curious(X))=>(quiet(X)&~tall(X))))&
(![X]:((~funny(X)&~kind(X))<=>(curious(X)&~funny(X))))&
((?[X]:(wise(X)))<=>((rich(john)|~rich(john))))&
(![X]:((~kind(X)|~patient(X))<=>(~wise(... | creative(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1691839825859061029910964
% SZS output start Proof for 1691839825859061029910964
19. ~strong(john) & ~creative(john) [input p18]
25. creative(john) [input hypothesis]
116. ~creative(john) [cnf transformation 19]
124. creative(john) [cnf transformation 25]
173. 9 <=> creative(john) [avatar... | 0 |
Everyone who is not old or tall is quiet and vice versa. If someone is either calm or not curious then someone is not happy or strong and vice versa. If mary is not calm then someone is happy or patient. Everyone who is calm is either not wise or not calm and vice versa. Everyone who is strong or calm is either not fun... | Lucy is tall. | neutral | (![X]:((~old(X)|tall(X))<=>quiet(X)))&
((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~happy(X)|strong(X)))))&
((~calm(mary))=>(?[X]:((happy(X)|patient(X)))))&
(![X]:(calm(X)<=>(~wise(X)<~>~calm(X))))&
(![X]:((strong(X)|calm(X))=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)<~>tall(X))=>tall(X)))&
(![X]:(~generous(X)<=>(funny(... | tall(lucy) | [] | null | 0 |
If someone is calm then paul is either not generous or not funny and vice versa.
Everyone who is both old and not curious is not creative or calm.
If someone is not strong then lucy is both not strong and not curious.
Everyone who is not tall is not funny or generous and vice versa.
Everyone who is quiet or wise is fun... | John is happy. | neutral | ((?[X]:(calm(X)))<=>((~generous(paul)<~>~funny(paul))))&
(![X]:((old(X)&~curious(X))=>(~creative(X)|calm(X))))&
((?[X]:(~strong(X)))=>((~strong(lucy)&~curious(lucy))))&
(![X]:(~tall(X)<=>(~funny(X)|generous(X))))&
(![X]:((quiet(X)|wise(X))<=>(funny(X)|curious(X))))&
(((~quiet(paul)<~>quiet(paul)))=>(strong(susan)))&
(!... | happy(john) | [] | null | 0 |
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