premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either patient or not curious then someone is both tall and not humble. Everyone who is either not quiet or brave is not wise and vice versa. Everyone who is not patient is not kind and vice versa. If lucy is both tall and not funny then someone is both not humble and not wise and vice versa. Everyone who... | Lucy is happy. | contradiction | ((?[X]:((patient(X)<~>~curious(X))))=>(?[X]:((tall(X)&~humble(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>~wise(X)))&
(![X]:(~patient(X)<=>~kind(X)))&
(((tall(lucy)&~funny(lucy)))<=>(?[X]:((~humble(X)&~wise(X)))))&
(![X]:((kind(X)<~>~creative(X))<=>(quiet(X)&~happy(X))))&
(![X]:((~wise(X)&~old(X))=>kind(X)))&
(![X]:((~old(... | happy(lucy) | [
"p2",
"p4",
"p6",
"p10",
"p15",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8191116679962645962194193
% SZS output start Proof for 8191116679962645962194193
3. ! [X0] : (~patient(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (~happy(X0) & quiet(X0))) [input p4]
7. ! [X0] : ((tall(X0) | ~old(X0)) => (~generous(X0) <~> ~wise(X0))) [inp... | 0 |
If someone is either tall or curious then alice is both not rich and curious.
Everyone who is both not tall and not quiet is not calm.
If mary is either strong or not happy then susan is happy and vice versa.
If paul is both not tall and brave then mary is generous.
Everyone who is calm is either tall or not rich.
Ever... | Mary is quiet. | entailment | ((?[X]:((tall(X)<~>curious(X))))=>((~rich(alice)&curious(alice))))&
(![X]:((~tall(X)&~quiet(X))=>~calm(X)))&
(((strong(mary)<~>~happy(mary)))<=>(happy(susan)))&
(((~tall(paul)&brave(paul)))=>(generous(mary)))&
(![X]:(calm(X)=>(tall(X)<~>~rich(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~quiet(X)|~strong(X))))&
((?[X]:((kind... | quiet(mary) | [
"p2",
"p5",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 540716191270067325644858
% SZS output start Proof for 540716191270067325644858
3. (strong(mary) <~> ~happy(mary)) <=> happy(susan) [input p2]
6. ! [X0] : ((~happy(X0) <~> rich(X0)) <=> (~strong(X0) | ~quiet(X0))) [input p5]
10. ~curious(paul) <=> ? [X0] : happy(X0) [input p9]
14. ! [X0] :... | 0 |
If paul is brave then someone is both not calm and brave and vice versa. Everyone who is quiet or not happy is quiet or old and vice versa. If mary is not wise or creative then someone is either not rich or not quiet and vice versa. Everyone who is kind is either not kind or not curious and vice versa. If someone is cr... | John is not generous. | entailment | ((brave(paul))<=>(?[X]:((~calm(X)&brave(X)))))&
(![X]:((quiet(X)|~happy(X))<=>(quiet(X)|old(X))))&
(((~wise(mary)|creative(mary)))<=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(![X]:(kind(X)<=>(~kind(X)<~>~curious(X))))&
((?[X]:((creative(X)|~kind(X))))<=>(?[X]:(strong(X))))&
(((quiet(paul)|creative(paul)))=>(?[X]:((creative(X)... | ~generous(john) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 623440374482336971708717
% SZS output start Proof for 623440374482336971708717
4. ! [X0] : (kind(X0) <=> (~kind(X0) <~> ~curious(X0))) [input p3]
15. curious(fred) <=> ? [X0] : generous(X0) [input p14]
24. generous(john) [input hypothesis]
47. ! [X0] : ((kind(X0) | ((~kind(X0) | curious(X... | 0 |
Everyone who is brave or generous is both strong and patient. Everyone who is both tall and not creative is either not strong or wise. Everyone who is brave is quiet and vice versa. Everyone who is humble is not wise. If paul is either tall or curious then paul is not strong and vice versa. If alice is either humble or... | John is tall. | contradiction | (![X]:((brave(X)|generous(X))=>(strong(X)&patient(X))))&
(![X]:((tall(X)&~creative(X))=>(~strong(X)<~>wise(X))))&
(![X]:(brave(X)<=>quiet(X)))&
(![X]:(humble(X)=>~wise(X)))&
(((tall(paul)<~>curious(paul)))<=>(~strong(paul)))&
(((humble(alice)<~>~kind(alice)))=>(~patient(alice)))&
((?[X]:((curious(X)<~>happy(X))))=>((~s... | tall(john) | [
"p3",
"p8",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1754645535660036666401407
% SZS output start Proof for 1754645535660036666401407
4. ! [X0] : (humble(X0) => ~wise(X0)) [input p3]
9. ! [X0] : (tall(X0) <=> (wise(X0) <~> ~funny(X0))) [input p8]
14. ! [X0] : ((humble(X0) | ~happy(X0)) <=> (~wise(X0) & ~strong(X0))) [input p13]
17. humble(j... | 0 |
If john is old then alice is not wise and vice versa.
If alice is not wise or brave then someone is not wise.
If john is wise then susan is humble and vice versa.
Everyone who is either patient or not happy is not old or patient and vice versa.
Everyone who is generous or not happy is either kind or not wise and vice v... | Susan is not calm. | entailment | ((old(john))<=>(~wise(alice)))&
(((~wise(alice)|brave(alice)))=>(?[X]:(~wise(X))))&
((wise(john))<=>(humble(susan)))&
(![X]:((patient(X)<~>~happy(X))<=>(~old(X)|patient(X))))&
(![X]:((generous(X)|~happy(X))<=>(kind(X)<~>~wise(X))))&
(![X]:((funny(X)<~>strong(X))=>(~funny(X)&brave(X))))&
(![X]:((~old(X)<~>~calm(X))<=>ol... | ~calm(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8012173524431833666582236
% SZS output start Proof for 8012173524431833666582236
7. ! [X0] : ((~old(X0) <~> ~calm(X0)) <=> old(X0)) [input p6]
25. calm(susan) [input hypothesis]
46. ! [X0] : ((((calm(X0) | old(X0)) & (~calm(X0) | ~old(X0))) | ~old(X0)) & (old(X0) | ((~old(X0) | calm(X0)) ... | 0 |
If john is not wise or happy then lucy is either not humble or not wise and vice versa.
Everyone who is not rich is funny or tall and vice versa.
If susan is creative then alice is kind and vice versa.
If alice is curious then john is either humble or not funny and vice versa.
If someone is either brave or not humble t... | Lucy is not humble. | entailment | (((~wise(john)|happy(john)))<=>((~humble(lucy)<~>~wise(lucy))))&
(![X]:(~rich(X)<=>(funny(X)|tall(X))))&
((creative(susan))<=>(kind(alice)))&
((curious(alice))<=>((humble(john)<~>~funny(john))))&
((?[X]:((brave(X)<~>~humble(X))))=>((quiet(paul)<~>creative(paul))))&
((?[X]:((generous(X)<~>~patient(X))))<=>((~old(alice)<... | ~humble(lucy) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6562040715300514996854793
% SZS output start Proof for 6562040715300514996854793
8. ! [X0] : (~creative(X0) => (humble(X0) <~> ~creative(X0))) [input p7]
16. ! [X0] : ((~humble(X0) & strong(X0)) <=> (creative(X0) | tall(X0))) [input p15]
25. humble(lucy) [input hypothesis]
28. ! [X0] : ((... | 0 |
Everyone who is not calm or funny is both not funny and rich.
Everyone who is either funny or creative is not rich and vice versa.
If mary is strong then someone is both not calm and creative.
If fred is rich or not funny then someone is either not kind or not tall.
If someone is either tall or not kind then someone is... | Fred is humble. | entailment | (![X]:((~calm(X)|funny(X))=>(~funny(X)&rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>~rich(X)))&
((strong(mary))=>(?[X]:((~calm(X)&creative(X)))))&
(((rich(fred)|~funny(fred)))=>(?[X]:((~kind(X)<~>~tall(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>(?[X]:(generous(X))))&
((~generous(susan))<=>((~strong(susan)<~>~patient(susa... | humble(fred) | [
"p0",
"p1",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3851953734511379461337319
% SZS output start Proof for 3851953734511379461337319
1. ! [X0] : ((funny(X0) | ~calm(X0)) => (rich(X0) & ~funny(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> creative(X0)) <=> ~rich(X0)) [input p1]
11. ? [X0] : (~calm(X0) <~> ~humble(X0)) => ? [X0] : (rich(X0) &... | 0 |
Everyone who is both tall and funny is either not generous or not brave. If someone is both not brave and not creative then someone is not funny or not rich and vice versa. Everyone who is either not strong or calm is either rich or not curious. Everyone who is patient is either not tall or not generous. Everyone who i... | Alice is not calm. | entailment | (![X]:((tall(X)&funny(X))=>(~generous(X)<~>~brave(X))))&
((?[X]:((~brave(X)&~creative(X))))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((~strong(X)<~>calm(X))=>(rich(X)<~>~curious(X))))&
(![X]:(patient(X)=>(~tall(X)<~>~generous(X))))&
(![X]:(~funny(X)=>(calm(X)|funny(X))))&
((?[X]:((humble(X)&funny(X))))<=>((~quiet(paul)|... | ~calm(alice) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7202604603681814904843091
% SZS output start Proof for 7202604603681814904843091
13. ! [X0] : (~calm(X0) <=> wise(X0)) [input p12]
20. ~brave(alice) & wise(alice) [input p19]
25. calm(alice) [input hypothesis]
59. ! [X0] : ((~calm(X0) | ~wise(X0)) & (wise(X0) | calm(X0))) [nnf transformat... | 0 |
Everyone who is either happy or not calm is both wise and quiet and vice versa.
Everyone who is not funny is not kind and vice versa.
Everyone who is rich or not curious is not happy or not quiet.
Everyone who is either not generous or not kind is either not funny or quiet.
Everyone who is either not strong or not curi... | Paul is not funny. | entailment | (![X]:((happy(X)<~>~calm(X))<=>(wise(X)&quiet(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(![X]:((rich(X)|~curious(X))=>(~happy(X)|~quiet(X))))&
(![X]:((~generous(X)<~>~kind(X))=>(~funny(X)<~>quiet(X))))&
(![X]:((~strong(X)<~>~curious(X))<=>(brave(X)&~humble(X))))&
(![X]:(~patient(X)=>wise(X)))&
((?[X]:((curious(X)<~>happy(X... | ~funny(paul) | [
"p1",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4061017717732539176312744
% SZS output start Proof for 4061017717732539176312744
2. ! [X0] : (~funny(X0) <=> ~kind(X0)) [input p1]
14. ! [X0] : ((funny(X0) | tall(X0)) <=> ~creative(X0)) [input p13]
15. ! [X0] : ((curious(X0) | ~creative(X0)) => ~kind(X0)) [input p14]
23. funny(paul) [inp... | 0 |
If paul is either strong or not calm then someone is either not old or not calm and vice versa. Everyone who is not curious is both tall and not generous and vice versa. If someone is patient then fred is either not wise or funny and vice versa. Everyone who is rich or not strong is both happy and not wise and vice ver... | Mary is brave. | entailment | (((strong(paul)<~>~calm(paul)))<=>(?[X]:((~old(X)<~>~calm(X)))))&
(![X]:(~curious(X)<=>(tall(X)&~generous(X))))&
((?[X]:(patient(X)))<=>((~wise(fred)<~>funny(fred))))&
(![X]:((rich(X)|~strong(X))<=>(happy(X)&~wise(X))))&
(![X]:((~quiet(X)&~strong(X))<=>(patient(X)&~calm(X))))&
((rich(susan))=>((~old(susan)&~funny(susan... | brave(mary) | [
"p1",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7228186558287247246412808
% SZS output start Proof for 7228186558287247246412808
2. ! [X0] : (~curious(X0) <=> (~generous(X0) & tall(X0))) [input p1]
9. ! [X0] : (curious(X0) <=> (brave(X0) <~> ~tall(X0))) [input p8]
21. ~tall(mary) <~> curious(mary) [input p20]
24. ~brave(mary) [input hy... | 0 |
Everyone who is not old is either funny or kind. Everyone who is both wise and curious is not curious. Everyone who is not brave or not old is either kind or strong and vice versa. Everyone who is both not calm and not kind is either not patient or not happy and vice versa. If paul is either not creative or not old the... | Mary is not quiet. | neutral | (![X]:(~old(X)=>(funny(X)<~>kind(X))))&
(![X]:((wise(X)&curious(X))=>~curious(X)))&
(![X]:((~brave(X)|~old(X))<=>(kind(X)<~>strong(X))))&
(![X]:((~calm(X)&~kind(X))<=>(~patient(X)<~>~happy(X))))&
(((~creative(paul)<~>~old(paul)))=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:(~strong(X)<=>(~generous(X)&tall(X))))&
(((~old(lucy)... | ~quiet(mary) | [] | null | 0 |
Everyone who is both not strong and wise is not happy or quiet and vice versa.
Everyone who is both brave and not generous is not generous and vice versa.
Everyone who is either old or kind is either not creative or funny and vice versa.
Everyone who is patient or strong is not funny or not tall and vice versa.
If mary... | Susan is rich. | entailment | (![X]:((~strong(X)&wise(X))<=>(~happy(X)|quiet(X))))&
(![X]:((brave(X)&~generous(X))<=>~generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((patient(X)|strong(X))<=>(~funny(X)|~tall(X))))&
((old(mary))=>((~creative(fred)&~patient(fred))))&
(![X]:((~happy(X)<~>~old(X))=>(~curious(X)<~>tall(X))... | rich(susan) | [
"p6",
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1689603088968351861878865
% SZS output start Proof for 1689603088968351861878865
7. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~old(X0) & kind(X0))) [input p6]
9. ! [X0] : ((old(X0) | patient(X0)) => (~tall(X0) & ~funny(X0))) [input p8]
16. ? [X0] : ~rich(X0) <=> (~kind(alice) | strong(al... | 0 |
Everyone who is either kind or creative is brave and vice versa. Everyone who is both calm and curious is wise or not wise and vice versa. Everyone who is not old or creative is humble. If mary is both curious and not rich then fred is either not tall or not kind. Everyone who is either not wise or calm is both not cal... | Lucy is not brave. | entailment | (![X]:((kind(X)<~>creative(X))<=>brave(X)))&
(![X]:((calm(X)&curious(X))<=>(wise(X)|~wise(X))))&
(![X]:((~old(X)|creative(X))=>humble(X)))&
(((curious(mary)&~rich(mary)))=>((~tall(fred)<~>~kind(fred))))&
(![X]:((~wise(X)<~>calm(X))<=>(~calm(X)&~curious(X))))&
((quiet(mary))<=>(?[X]:((happy(X)|~kind(X)))))&
(![X]:((happ... | ~brave(lucy) | [
"p1",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7897476918739763056861274
% SZS output start Proof for 7897476918739763056861274
2. ! [X0] : ((curious(X0) & calm(X0)) <=> (~wise(X0) | wise(X0))) [input p1]
13. ! [X0] : ((brave(X0) <~> ~curious(X0)) <=> (creative(X0) & quiet(X0))) [input p12]
14. ! [X0] : (quiet(X0) => ~brave(X0)) [inpu... | 0 |
If paul is both not happy and kind then someone is both calm and humble and vice versa.
If someone is either not old or tall then alice is strong or creative.
Everyone who is not patient is both patient and not brave.
Everyone who is not kind or humble is not tall or not strong and vice versa.
If lucy is both not creat... | Alice is kind. | contradiction | (((~happy(paul)&kind(paul)))<=>(?[X]:((calm(X)&humble(X)))))&
((?[X]:((~old(X)<~>tall(X))))=>((strong(alice)|creative(alice))))&
(![X]:(~patient(X)=>(patient(X)&~brave(X))))&
(![X]:((~kind(X)|humble(X))<=>(~tall(X)|~strong(X))))&
(((~creative(lucy)&rich(lucy)))<=>(?[X]:((humble(X)<~>~strong(X)))))&
((?[X]:((~curious(X)... | kind(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3245268968679640675543081
% SZS output start Proof for 3245268968679640675543081
15. ! [X0] : ((funny(X0) <~> kind(X0)) <=> funny(X0)) [input p14]
25. kind(alice) [input hypothesis]
68. ! [X0] : ((((~kind(X0) | ~funny(X0)) & (kind(X0) | funny(X0))) | ~funny(X0)) & (funny(X0) | ((funny(X0)... | 0 |
Everyone who is both happy and kind is either not calm or funny and vice versa.
Everyone who is not old is not generous or quiet and vice versa.
If someone is happy or creative then john is both rich and creative and vice versa.
Everyone who is both not patient and not strong is both not creative and strong.
If paul is... | Paul is not curious. | entailment | (![X]:((happy(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~old(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((happy(X)|creative(X))))<=>((rich(john)&creative(john))))&
(![X]:((~patient(X)&~strong(X))=>(~creative(X)&strong(X))))&
(((~funny(paul)<~>~creative(paul)))=>((humble(lucy)<~>kind(lucy))))&
(((wise(alice)<~>~funny(al... | ~curious(paul) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6799401192190599687390414
% SZS output start Proof for 6799401192190599687390414
1. ! [X0] : ((kind(X0) & happy(X0)) <=> (~calm(X0) <~> funny(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (quiet(X0) | ~generous(X0))) [input p1]
3. ? [X0] : (creative(X0) | happy(X0)) <=> (creative(john) & ric... | 0 |
If someone is not kind or not rich then lucy is not generous or happy.
Everyone who is both funny and creative is either brave or happy.
If john is not old or not calm then lucy is either not creative or kind.
Everyone who is not kind or not strong is either not brave or funny and vice versa.
Everyone who is either qui... | John is not strong. | contradiction | ((?[X]:((~kind(X)|~rich(X))))=>((~generous(lucy)|happy(lucy))))&
(![X]:((funny(X)&creative(X))=>(brave(X)<~>happy(X))))&
(((~old(john)|~calm(john)))=>((~creative(lucy)<~>kind(lucy))))&
(![X]:((~kind(X)|~strong(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((quiet(X)<~>~strong(X))<=>curious(X)))&
(![X]:(quiet(X)<=>(~quiet(X)<~>... | ~strong(john) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8311180217198286697728271
% SZS output start Proof for 8311180217198286697728271
4. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (~brave(X0) <~> funny(X0))) [input p3]
6. ! [X0] : (quiet(X0) <=> (~quiet(X0) <~> calm(X0))) [input p5]
7. ! [X0] : ((~humble(X0) & rich(X0)) <=> (~strong(X0) & ~fun... | 0 |
Everyone who is either not patient or strong is both not old and not kind and vice versa. If someone is not strong or not brave then someone is not happy or creative. Everyone who is funny is tall or calm. Everyone who is both humble and rich is humble. If susan is wise then susan is either not happy or quiet. If john ... | Susan is not quiet. | neutral | (![X]:((~patient(X)<~>strong(X))<=>(~old(X)&~kind(X))))&
((?[X]:((~strong(X)|~brave(X))))=>(?[X]:((~happy(X)|creative(X)))))&
(![X]:(funny(X)=>(tall(X)|calm(X))))&
(![X]:((humble(X)&rich(X))=>humble(X)))&
((wise(susan))=>((~happy(susan)<~>quiet(susan))))&
(((wise(john)<~>~tall(john)))=>(~creative(susan)))&
(![X]:((gene... | ~quiet(susan) | [] | null | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | Alice is not rich. | entailment | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | ~rich(alice) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6372369600783344992921938
% SZS output start Proof for 6372369600783344992921938
2. ! [X0] : ((humble(X0) & rich(X0)) => (funny(X0) <~> brave(X0))) [input p1]
6. ? [X0] : ~calm(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [inpu... | 0 |
Everyone who is not happy is both not old and generous.
Everyone who is either not curious or patient is either brave or not creative.
Everyone who is both curious and generous is not patient and vice versa.
If lucy is happy or brave then susan is rich.
Everyone who is both patient and not happy is not tall or not quie... | Susan is not calm. | entailment | (![X]:(~happy(X)=>(~old(X)&generous(X))))&
(![X]:((~curious(X)<~>patient(X))=>(brave(X)<~>~creative(X))))&
(![X]:((curious(X)&generous(X))<=>~patient(X)))&
(((happy(lucy)|brave(lucy)))=>(rich(susan)))&
(![X]:((patient(X)&~happy(X))=>(~tall(X)|~quiet(X))))&
((?[X]:((humble(X)|generous(X))))=>((tall(susan)&curious(susan)... | ~calm(susan) | [
"p2",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3928845276510590971641613
% SZS output start Proof for 3928845276510590971641613
3. ! [X0] : ((generous(X0) & curious(X0)) <=> ~patient(X0)) [input p2]
6. ? [X0] : (generous(X0) | humble(X0)) => (curious(susan) & tall(susan)) [input p5]
7. ! [X0] : ((generous(X0) | ~tall(X0)) <=> (patient... | 0 |
If mary is not tall or tall then john is either not funny or not wise and vice versa. If mary is calm then mary is generous. Everyone who is either humble or rich is not wise and vice versa. If someone is not happy then lucy is either rich or not calm and vice versa. If john is both happy and wise then alice is both ol... | John is calm. | contradiction | (((~tall(mary)|tall(mary)))<=>((~funny(john)<~>~wise(john))))&
((calm(mary))=>(generous(mary)))&
(![X]:((humble(X)<~>rich(X))<=>~wise(X)))&
((?[X]:(~happy(X)))<=>((rich(lucy)<~>~calm(lucy))))&
(((happy(john)&wise(john)))=>((old(alice)&patient(alice))))&
(![X]:((calm(X)<~>~funny(X))<=>~happy(X)))&
((?[X]:(brave(X)))<=>(... | calm(john) | [
"p0",
"p4",
"p5",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6602821509906534591591027
% SZS output start Proof for 6602821509906534591591027
1. (tall(mary) | ~tall(mary)) <=> (~funny(john) <~> ~wise(john)) [input p0]
5. (wise(john) & happy(john)) => (patient(alice) & old(alice)) [input p4]
6. ! [X0] : ((calm(X0) <~> ~funny(X0)) <=> ~happy(X0)) [in... | 0 |
Everyone who is either happy or quiet is not humble or funny.
Everyone who is rich or calm is not rich and vice versa.
Everyone who is either kind or old is either rich or patient and vice versa.
If alice is either not happy or patient then someone is either not curious or tall and vice versa.
Everyone who is not kind ... | Alice is wise. | contradiction | (![X]:((happy(X)<~>quiet(X))=>(~humble(X)|funny(X))))&
(![X]:((rich(X)|calm(X))<=>~rich(X)))&
(![X]:((kind(X)<~>old(X))<=>(rich(X)<~>patient(X))))&
(((~happy(alice)<~>patient(alice)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(~happy(X)<~>funny(X))))&
(![X]:((~tall(X)|~brave(X))<=>(~patient(X... | wise(alice) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8684913780637490762278204
% SZS output start Proof for 8684913780637490762278204
2. ! [X0] : ((calm(X0) | rich(X0)) <=> ~rich(X0)) [input p1]
12. ! [X0] : (~rich(X0) <=> ~wise(X0)) [input p11]
18. wise(alice) [input hypothesis]
30. ! [X0] : (((calm(X0) | rich(X0)) | rich(X0)) & (~rich(X0)... | 0 |
Everyone who is not humble is either tall or not quiet. Everyone who is not happy or happy is either not calm or not strong and vice versa. Everyone who is both not calm and rich is not quiet or calm and vice versa. If alice is both not wise and not strong then john is either quiet or not happy and vice versa. If someo... | Susan is happy. | contradiction | (![X]:(~humble(X)=>(tall(X)<~>~quiet(X))))&
(![X]:((~happy(X)|happy(X))<=>(~calm(X)<~>~strong(X))))&
(![X]:((~calm(X)&rich(X))<=>(~quiet(X)|calm(X))))&
(((~wise(alice)&~strong(alice)))<=>((quiet(john)<~>~happy(john))))&
((?[X]:((~calm(X)<~>patient(X))))=>((tall(alice)<~>~generous(alice))))&
(((~quiet(lucy)|brave(lucy))... | happy(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8452402164320796658396810
% SZS output start Proof for 8452402164320796658396810
23. ~happy(susan) & ~humble(susan) [input p22]
24. happy(susan) [input hypothesis]
131. ~happy(susan) [cnf transformation 23]
132. happy(susan) [cnf transformation 24]
284. $false [subsumption resolution 132,... | 0 |
Everyone who is not generous is happy and vice versa.
If fred is quiet or not humble then mary is not patient or humble.
If someone is either not brave or not wise then lucy is either not curious or not happy and vice versa.
Everyone who is creative or not old is both not tall and not brave.
Everyone who is old or happ... | Fred is not rich. | entailment | (![X]:(~generous(X)<=>happy(X)))&
(((quiet(fred)|~humble(fred)))=>((~patient(mary)|humble(mary))))&
((?[X]:((~brave(X)<~>~wise(X))))<=>((~curious(lucy)<~>~happy(lucy))))&
(![X]:((creative(X)|~old(X))=>(~tall(X)&~brave(X))))&
(![X]:((old(X)|happy(X))=>(~happy(X)&humble(X))))&
(((~wise(john)|patient(john)))=>(~brave(john... | ~rich(fred) | [
"p0",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9099705059882123094605730
% SZS output start Proof for 9099705059882123094605730
1. ! [X0] : (~generous(X0) <=> happy(X0)) [input p0]
5. ! [X0] : ((happy(X0) | old(X0)) => (humble(X0) & ~happy(X0))) [input p4]
16. ! [X0] : ((~creative(X0) & ~rich(X0)) <=> (generous(X0) | ~wise(X0))) [inpu... | 0 |
If mary is either not strong or not happy then mary is not old or not quiet and vice versa. Everyone who is both not happy and not old is not happy or creative. Everyone who is not humble is curious or not brave and vice versa. If mary is not curious or not creative then someone is not curious. Everyone who is both cre... | John is kind. | contradiction | (((~strong(mary)<~>~happy(mary)))<=>((~old(mary)|~quiet(mary))))&
(![X]:((~happy(X)&~old(X))=>(~happy(X)|creative(X))))&
(![X]:(~humble(X)<=>(curious(X)|~brave(X))))&
(((~curious(mary)|~creative(mary)))=>(?[X]:(~curious(X))))&
(![X]:((creative(X)&curious(X))=>(happy(X)&~quiet(X))))&
(((~happy(alice)|~funny(alice)))=>((... | kind(john) | [
"p2",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4959240726198984898360508
% SZS output start Proof for 4959240726198984898360508
3. ! [X0] : (~humble(X0) <=> (~brave(X0) | curious(X0))) [input p2]
15. (~rich(fred) & rich(fred)) <=> ? [X0] : (curious(X0) <~> kind(X0)) [input p14]
19. humble(john) [input p18]
25. kind(john) [input hypoth... | 0 |
Everyone who is both creative and not curious is not kind and vice versa.
Everyone who is both curious and brave is funny or patient and vice versa.
Everyone who is either not creative or not brave is both not funny and not brave and vice versa.
If paul is both creative and not happy then mary is not old or not calm.
E... | Paul is brave. | entailment | (![X]:((creative(X)&~curious(X))<=>~kind(X)))&
(![X]:((curious(X)&brave(X))<=>(funny(X)|patient(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~funny(X)&~brave(X))))&
(((creative(paul)&~happy(paul)))=>((~old(mary)|~calm(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(creative(X)&~wise(X))))&
((?[X]:((happy(X)|~humble(X))))=>(c... | brave(paul) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7455901604800203530524956
% SZS output start Proof for 7455901604800203530524956
2. ! [X0] : ((brave(X0) & curious(X0)) <=> (patient(X0) | funny(X0))) [input p1]
10. ! [X0] : (~brave(X0) => (funny(X0) & quiet(X0))) [input p9]
24. ~brave(paul) [input hypothesis]
30. ! [X0] : ((funny(X0) & ... | 0 |
Everyone who is either strong or happy is both not happy and creative. Everyone who is not generous or calm is either not calm or generous and vice versa. Everyone who is both not funny and strong is both not kind and old and vice versa. Everyone who is either not kind or brave is both humble and creative and vice vers... | Alice is not old. | contradiction | (![X]:((strong(X)<~>happy(X))=>(~happy(X)&creative(X))))&
(![X]:((~generous(X)|calm(X))<=>(~calm(X)<~>generous(X))))&
(![X]:((~funny(X)&strong(X))<=>(~kind(X)&old(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(humble(X)&creative(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(humble(X)&~wise(X))))&
((?[X]:(~wise(X)))<=>((happy(alice)&~... | ~old(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7706600787177896886775481
% SZS output start Proof for 7706600787177896886775481
9. ? [X0] : creative(X0) <=> old(alice) [input p8]
12. ~creative(mary) <=> (~wise(lucy) & creative(lucy)) [input p11]
24. ~old(alice) [input hypothesis]
49. (? [X0] : creative(X0) | ~old(alice)) & (old(alice)... | 0 |
If lucy is either not humble or not happy then fred is not brave or not funny. If fred is quiet then john is either rich or not generous. If john is generous then someone is old or not rich. Everyone who is both quiet and curious is not patient and vice versa. Everyone who is not funny or happy is not generous. If some... | Alice is not creative. | neutral | (((~humble(lucy)<~>~happy(lucy)))=>((~brave(fred)|~funny(fred))))&
((quiet(fred))=>((rich(john)<~>~generous(john))))&
((generous(john))=>(?[X]:((old(X)|~rich(X)))))&
(![X]:((quiet(X)&curious(X))<=>~patient(X)))&
(![X]:((~funny(X)|happy(X))=>~generous(X)))&
((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:(funny(X))))&
(![X]:((h... | ~creative(alice) | [] | null | 0 |
Everyone who is either strong or generous is not strong and vice versa.
Everyone who is either not funny or not creative is calm or happy and vice versa.
Everyone who is both not tall and not funny is both not old and humble and vice versa.
If john is curious or not patient then someone is not curious and vice versa.
I... | Mary is not rich. | contradiction | (![X]:((strong(X)<~>generous(X))<=>~strong(X)))&
(![X]:((~funny(X)<~>~creative(X))<=>(calm(X)|happy(X))))&
(![X]:((~tall(X)&~funny(X))<=>(~old(X)&humble(X))))&
(((curious(john)|~patient(john)))<=>(?[X]:(~curious(X))))&
((?[X]:(quiet(X)))<=>((~calm(mary)&rich(mary))))&
((?[X]:((old(X)&~happy(X))))=>(?[X]:(kind(X))))&
((... | ~rich(mary) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5926899432212174250222192
% SZS output start Proof for 5926899432212174250222192
5. ? [X0] : quiet(X0) <=> (rich(mary) & ~calm(mary)) [input p4]
21. ? [X0] : (~tall(X0) & quiet(X0)) [input p20]
24. ~rich(mary) [input hypothesis]
49. (? [X0] : quiet(X0) | (~rich(mary) | calm(mary))) & ((ri... | 0 |
If someone is not rich then john is kind or not strong. Everyone who is both not curious and not quiet is either not calm or not funny. Everyone who is either not wise or not patient is either not tall or not quiet and vice versa. If someone is not kind or strong then mary is either wise or not quiet and vice versa. Ev... | Susan is not generous. | neutral | ((?[X]:(~rich(X)))=>((kind(john)|~strong(john))))&
(![X]:((~curious(X)&~quiet(X))=>(~calm(X)<~>~funny(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~tall(X)<~>~quiet(X))))&
((?[X]:((~kind(X)|strong(X))))<=>((wise(mary)<~>~quiet(mary))))&
(![X]:((quiet(X)&patient(X))=>(~brave(X)<~>tall(X))))&
((?[X]:((~happy(X)|~creative(X)... | ~generous(susan) | [] | null | 0 |
If susan is either not curious or not quiet then mary is not creative.
Everyone who is not happy or not creative is both patient and not old.
Everyone who is either not old or not funny is quiet and vice versa.
If someone is not happy then susan is either brave or not curious.
If someone is both creative and quiet then... | Alice is calm. | contradiction | (((~curious(susan)<~>~quiet(susan)))=>(~creative(mary)))&
(![X]:((~happy(X)|~creative(X))=>(patient(X)&~old(X))))&
(![X]:((~old(X)<~>~funny(X))<=>quiet(X)))&
((?[X]:(~happy(X)))=>((brave(susan)<~>~curious(susan))))&
((?[X]:((creative(X)&quiet(X))))<=>(happy(lucy)))&
(((~rich(paul)&~kind(paul)))=>(tall(susan)))&
(![X]:(... | calm(alice) | [
"p1",
"p7",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3832986808092268107910339
% SZS output start Proof for 3832986808092268107910339
2. ! [X0] : ((~creative(X0) | ~happy(X0)) => (~old(X0) & patient(X0))) [input p1]
8. ! [X0] : ((~kind(X0) | ~old(X0)) => (~quiet(X0) | ~calm(X0))) [input p7]
12. ! [X0] : (~humble(X0) <=> (humble(X0) & curiou... | 0 |
Everyone who is tall or happy is both calm and curious and vice versa.
If mary is both not calm and kind then someone is not wise or not patient.
Everyone who is patient is kind or curious.
If alice is both not patient and creative then someone is not generous or not happy and vice versa.
Everyone who is humble is eith... | Mary is not kind. | contradiction | (![X]:((tall(X)|happy(X))<=>(calm(X)&curious(X))))&
(((~calm(mary)&kind(mary)))=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:(patient(X)=>(kind(X)|curious(X))))&
(((~patient(alice)&creative(alice)))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(humble(X)<=>(~happy(X)<~>~funny(X))))&
(![X]:((~rich(X)|~patient(X))=>~humble(X)... | ~kind(mary) | [
"p0",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1993554009847773195803079
% SZS output start Proof for 1993554009847773195803079
1. ! [X0] : ((happy(X0) | tall(X0)) <=> (curious(X0) & calm(X0))) [input p0]
6. ! [X0] : ((~patient(X0) | ~rich(X0)) => ~humble(X0)) [input p5]
7. ! [X0] : ((humble(X0) & creative(X0)) <=> (~rich(X0) & ~old(X... | 0 |
Everyone who is both curious and tall is humble or not brave and vice versa.
Everyone who is calm is not old.
If lucy is not happy then someone is both not calm and not happy and vice versa.
Everyone who is both quiet and generous is either funny or not curious and vice versa.
If lucy is either not creative or tall the... | Lucy is rich. | entailment | (![X]:((curious(X)&tall(X))<=>(humble(X)|~brave(X))))&
(![X]:(calm(X)=>~old(X)))&
((~happy(lucy))<=>(?[X]:((~calm(X)&~happy(X)))))&
(![X]:((quiet(X)&generous(X))<=>(funny(X)<~>~curious(X))))&
(((~creative(lucy)<~>tall(lucy)))=>(?[X]:(funny(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)|h... | rich(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7239073060954067895308773
% SZS output start Proof for 7239073060954067895308773
8. ! [X0] : ((~tall(X0) | ~rich(X0)) <=> rich(X0)) [input p7]
24. ~rich(lucy) [input hypothesis]
51. ! [X0] : (((~tall(X0) | ~rich(X0)) | ~rich(X0)) & (rich(X0) | (tall(X0) & rich(X0)))) [nnf transformation 8... | 0 |
If alice is both not tall and funny then someone is both not rich and not wise. Everyone who is either tall or not calm is kind. Everyone who is curious is not calm or not patient. Everyone who is either kind or strong is not kind and vice versa. Everyone who is old is both kind and not brave and vice versa. Everyone w... | Paul is brave. | neutral | (((~tall(alice)&funny(alice)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:((tall(X)<~>~calm(X))=>kind(X)))&
(![X]:(curious(X)=>(~calm(X)|~patient(X))))&
(![X]:((kind(X)<~>strong(X))<=>~kind(X)))&
(![X]:(old(X)<=>(kind(X)&~brave(X))))&
(![X]:((patient(X)&tall(X))=>kind(X)))&
(![X]:(kind(X)<=>brave(X)))&
(((~wise(paul)<~>~str... | brave(paul) | [] | null | 0 |
If someone is either not old or not kind then alice is calm or old. Everyone who is both kind and not creative is both generous and not brave. If john is tall or happy then someone is not rich or curious and vice versa. Everyone who is kind or humble is both humble and not old and vice versa. Everyone who is either not... | Mary is tall. | neutral | ((?[X]:((~old(X)<~>~kind(X))))=>((calm(alice)|old(alice))))&
(![X]:((kind(X)&~creative(X))=>(generous(X)&~brave(X))))&
(((tall(john)|happy(john)))<=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:((kind(X)|humble(X))<=>(humble(X)&~old(X))))&
(![X]:((~generous(X)<~>funny(X))=>(~strong(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X... | tall(mary) | [] | null | 0 |
If fred is both not old and not tall then mary is both funny and not brave and vice versa.
Everyone who is either quiet or creative is generous.
If someone is either not funny or strong then someone is not kind and vice versa.
If someone is both quiet and old then lucy is either not wise or strong.
Everyone who is eith... | Fred is not tall. | neutral | (((~old(fred)&~tall(fred)))<=>((funny(mary)&~brave(mary))))&
(![X]:((quiet(X)<~>creative(X))=>generous(X)))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((quiet(X)&old(X))))=>((~wise(lucy)<~>strong(lucy))))&
(![X]:((old(X)<~>~tall(X))=>~generous(X)))&
(![X]:(~wise(X)<=>~funny(X)))&
(((quiet(susan)&ca... | ~tall(fred) | [] | null | 0 |
Everyone who is calm or brave is not patient and vice versa. Everyone who is either not strong or curious is not calm or happy and vice versa. Everyone who is not rich or rich is kind. Everyone who is either not old or generous is either not quiet or creative and vice versa. Everyone who is either not quiet or not stro... | Fred is not old. | entailment | (![X]:((calm(X)|brave(X))<=>~patient(X)))&
(![X]:((~strong(X)<~>curious(X))<=>(~calm(X)|happy(X))))&
(![X]:((~rich(X)|rich(X))=>kind(X)))&
(![X]:((~old(X)<~>generous(X))<=>(~quiet(X)<~>creative(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(strong(X)|~old(X))))&
((?[X]:((calm(X)<~>~quiet(X))))=>(?[X]:((curious(X)|creative(X... | ~old(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6421032875049488020793343
% SZS output start Proof for 6421032875049488020793343
18. ~old(fred) [input p17]
23. old(fred) [input hypothesis]
126. ~old(fred) [cnf transformation 18]
132. old(fred) [cnf transformation 23]
201. 14 <=> old(fred) [avatar definition]
230. ~14 [avatar split clau... | 0 |
If susan is not rich then someone is either not strong or quiet.
If fred is not wise or calm then lucy is happy or wise and vice versa.
Everyone who is rich or humble is both curious and tall and vice versa.
Everyone who is both kind and patient is both not happy and funny and vice versa.
Everyone who is not brave or o... | John is not creative. | neutral | ((~rich(susan))=>(?[X]:((~strong(X)<~>quiet(X)))))&
(((~wise(fred)|calm(fred)))<=>((happy(lucy)|wise(lucy))))&
(![X]:((rich(X)|humble(X))<=>(curious(X)&tall(X))))&
(![X]:((kind(X)&patient(X))<=>(~happy(X)&funny(X))))&
(![X]:((~brave(X)|old(X))<=>(brave(X)&~strong(X))))&
(((~creative(john)&~tall(john)))=>(?[X]:((strong(... | ~creative(john) | [] | null | 0 |
Everyone who is either not quiet or calm is not rich or not calm.
Everyone who is not curious is both tall and not wise and vice versa.
If alice is both not brave and humble then someone is both kind and not humble and vice versa.
Everyone who is tall is not generous.
Everyone who is both brave and strong is wise and v... | Susan is strong. | contradiction | (![X]:((~quiet(X)<~>calm(X))=>(~rich(X)|~calm(X))))&
(![X]:(~curious(X)<=>(tall(X)&~wise(X))))&
(((~brave(alice)&humble(alice)))<=>(?[X]:((kind(X)&~humble(X)))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((brave(X)&strong(X))<=>wise(X)))&
((?[X]:((~calm(X)<~>~generous(X))))=>(?[X]:((curious(X)|creative(X)))))&
((?[X]:((~h... | strong(susan) | [
"p1",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8130780333553699343635368
% SZS output start Proof for 8130780333553699343635368
2. ! [X0] : (~curious(X0) <=> (~wise(X0) & tall(X0))) [input p1]
10. ! [X0] : (curious(X0) <=> (~strong(X0) & ~kind(X0))) [input p9]
14. ! [X0] : ((tall(X0) | happy(X0)) => (curious(X0) <~> wise(X0))) [input ... | 0 |
If fred is strong then someone is not strong. Everyone who is brave or curious is not patient. Everyone who is either kind or not wise is not calm or rich. Everyone who is brave is either not curious or creative. If paul is patient or brave then someone is both not tall and generous. Everyone who is both tall and not s... | Susan is not curious. | contradiction | ((strong(fred))=>(?[X]:(~strong(X))))&
(![X]:((brave(X)|curious(X))=>~patient(X)))&
(![X]:((kind(X)<~>~wise(X))=>(~calm(X)|rich(X))))&
(![X]:(brave(X)=>(~curious(X)<~>creative(X))))&
(((patient(paul)|brave(paul)))=>(?[X]:((~tall(X)&generous(X)))))&
(![X]:((tall(X)&~strong(X))=>(~creative(X)&~happy(X))))&
(![X]:(~curiou... | ~curious(susan) | [
"p3",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7281024019534435197540835
% SZS output start Proof for 7281024019534435197540835
4. ! [X0] : (brave(X0) => (~curious(X0) <~> creative(X0))) [input p3]
17. quiet(susan) & brave(susan) [input p16]
19. creative(susan) [input p18]
25. ~curious(susan) [input hypothesis]
37. ! [X0] : ((~curious... | 0 |
If mary is either not generous or humble then someone is not humble and vice versa.
If mary is both funny and generous then someone is wise or not strong.
If susan is not strong or not quiet then someone is not rich or curious.
Everyone who is wise is both not wise and not old and vice versa.
Everyone who is either not... | Paul is quiet. | neutral | (((~generous(mary)<~>humble(mary)))<=>(?[X]:(~humble(X))))&
(((funny(mary)&generous(mary)))=>(?[X]:((wise(X)|~strong(X)))))&
(((~strong(susan)|~quiet(susan)))=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:(wise(X)<=>(~wise(X)&~old(X))))&
(![X]:((~curious(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
((?[X]:((creative(X)&brave(X)))... | quiet(paul) | [] | null | 0 |
Everyone who is brave is not tall and vice versa. Everyone who is generous is both not calm and kind. If alice is not wise or not kind then someone is both strong and not kind. Everyone who is either tall or funny is both funny and not generous and vice versa. If lucy is both wise and not curious then lucy is not funny... | Lucy is not generous. | entailment | (![X]:(brave(X)<=>~tall(X)))&
(![X]:(generous(X)=>(~calm(X)&kind(X))))&
(((~wise(alice)|~kind(alice)))=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)&~generous(X))))&
(((wise(lucy)&~curious(lucy)))=>(~funny(lucy)))&
(![X]:((~kind(X)|~patient(X))=>(~calm(X)<~>happy(X))))&
(![X]:(~tall(X)=>(calm... | ~generous(lucy) | [
"p1",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 275982444535998967942704
% SZS output start Proof for 275982444535998967942704
2. ! [X0] : (generous(X0) => (kind(X0) & ~calm(X0))) [input p1]
4. ! [X0] : ((tall(X0) <~> funny(X0)) <=> (~generous(X0) & funny(X0))) [input p3]
7. ! [X0] : (~tall(X0) => (wise(X0) & calm(X0))) [input p6]
14. ... | 0 |
If someone is both not rich and strong then fred is not creative and vice versa.
If someone is brave then someone is humble and vice versa.
Everyone who is old or not old is either patient or not happy and vice versa.
If susan is not strong or not quiet then susan is not humble and vice versa.
If fred is calm then some... | Susan is not humble. | neutral | ((?[X]:((~rich(X)&strong(X))))<=>(~creative(fred)))&
((?[X]:(brave(X)))<=>(?[X]:(humble(X))))&
(![X]:((old(X)|~old(X))<=>(patient(X)<~>~happy(X))))&
(((~strong(susan)|~quiet(susan)))<=>(~humble(susan)))&
((calm(fred))<=>(?[X]:(~rich(X))))&
((?[X]:((wise(X)|happy(X))))=>(?[X]:((humble(X)|old(X)))))&
(![X]:((~curious(X)&... | ~humble(susan) | [] | null | 0 |
Everyone who is not humble or not creative is not kind and vice versa.
If someone is both patient and generous then fred is either quiet or not rich and vice versa.
If susan is patient or not old then someone is not funny or humble and vice versa.
Everyone who is either humble or not patient is both not funny and happy... | Susan is not old. | neutral | (![X]:((~humble(X)|~creative(X))<=>~kind(X)))&
((?[X]:((patient(X)&generous(X))))<=>((quiet(fred)<~>~rich(fred))))&
(((patient(susan)|~old(susan)))<=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((humble(X)<~>~patient(X))<=>(~funny(X)&happy(X))))&
(((~brave(john)|funny(john)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~humbl... | ~old(susan) | [] | null | 0 |
Everyone who is both funny and not curious is both tall and funny.
If someone is either old or not generous then someone is both not kind and generous.
Everyone who is not humble or not strong is wise or not creative.
If someone is not happy or not rich then alice is not brave or strong.
If someone is both quiet and ol... | John is funny. | contradiction | (![X]:((funny(X)&~curious(X))=>(tall(X)&funny(X))))&
((?[X]:((old(X)<~>~generous(X))))=>(?[X]:((~kind(X)&generous(X)))))&
(![X]:((~humble(X)|~strong(X))=>(wise(X)|~creative(X))))&
((?[X]:((~happy(X)|~rich(X))))=>((~brave(alice)|strong(alice))))&
((?[X]:((quiet(X)&old(X))))=>(~rich(fred)))&
(![X]:((creative(X)|~calm(X))... | funny(john) | [
"p2",
"p10",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 560131185743419273770503
% SZS output start Proof for 560131185743419273770503
3. ! [X0] : ((~strong(X0) | ~humble(X0)) => (~creative(X0) | wise(X0))) [input p2]
11. ! [X0] : ((~happy(X0) | ~wise(X0)) => (~old(X0) & ~strong(X0))) [input p10]
13. ! [X0] : (funny(X0) => ~wise(X0)) [input p1... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is curious or rich is either not wise or not generous and vice versa.
Everyone who is not calm or not patient is both not generous and wise.
If someone is old then susan is wise or not brave.
If someone is both funny and not rich then fred is eithe... | Mary is not wise. | neutral | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((curious(X)|rich(X))<=>(~wise(X)<~>~generous(X))))&
(![X]:((~calm(X)|~patient(X))=>(~generous(X)&wise(X))))&
((?[X]:(old(X)))=>((wise(susan)|~brave(susan))))&
((?[X]:((funny(X)&~rich(X))))<=>((generous(fred)<~>kind(fred))))&
(![X]:(~rich(X)=>(~humble(X)<~>~gener... | ~wise(mary) | [] | null | 0 |
If mary is quiet or not creative then alice is rich or not old. Everyone who is both not humble and generous is either not creative or calm. Everyone who is not humble is either not quiet or wise and vice versa. Everyone who is generous is both not generous and funny and vice versa. Everyone who is humble or calm is wi... | Alice is rich. | contradiction | (((quiet(mary)|~creative(mary)))=>((rich(alice)|~old(alice))))&
(![X]:((~humble(X)&generous(X))=>(~creative(X)<~>calm(X))))&
(![X]:(~humble(X)<=>(~quiet(X)<~>wise(X))))&
(![X]:(generous(X)<=>(~generous(X)&funny(X))))&
(![X]:((humble(X)|calm(X))=>(wise(X)|~humble(X))))&
((?[X]:((curious(X)|~strong(X))))=>(?[X]:((humble(... | rich(alice) | [
"p3",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1715337990963495303335772
% SZS output start Proof for 1715337990963495303335772
4. ! [X0] : (generous(X0) <=> (funny(X0) & ~generous(X0))) [input p3]
6. ? [X0] : (~strong(X0) | curious(X0)) => ? [X0] : (strong(X0) & humble(X0)) [input p5]
11. ! [X0] : ((rich(X0) <~> funny(X0)) => (tall(X... | 0 |
If susan is not brave then susan is not old.
If someone is not generous then someone is curious.
If mary is not kind or quiet then fred is both kind and not humble.
Everyone who is either not funny or patient is not kind or not brave.
Everyone who is not quiet is not calm or not brave.
If someone is both happy and not ... | Susan is not generous. | neutral | ((~brave(susan))=>(~old(susan)))&
((?[X]:(~generous(X)))=>(?[X]:(curious(X))))&
(((~kind(mary)|quiet(mary)))=>((kind(fred)&~humble(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~kind(X)|~brave(X))))&
(![X]:(~quiet(X)=>(~calm(X)|~brave(X))))&
((?[X]:((happy(X)&~happy(X))))=>((funny(susan)<~>~wise(susan))))&
(![X]:((~gener... | ~generous(susan) | [] | null | 0 |
If lucy is not generous then someone is quiet and vice versa.
If alice is kind or strong then someone is patient or not humble.
If paul is both humble and patient then someone is both rich and old.
If susan is not generous or brave then someone is not wise or not calm and vice versa.
If someone is either not tall or ol... | Fred is tall. | contradiction | ((~generous(lucy))<=>(?[X]:(quiet(X))))&
(((kind(alice)|strong(alice)))=>(?[X]:((patient(X)|~humble(X)))))&
(((humble(paul)&patient(paul)))=>(?[X]:((rich(X)&old(X)))))&
(((~generous(susan)|brave(susan)))<=>(?[X]:((~wise(X)|~calm(X)))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((strong(X)&tall(X)))))&
(((~creative(fred)&o... | tall(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7592194580793516290467498
% SZS output start Proof for 7592194580793516290467498
12. ! [X0] : ((tall(X0) | wise(X0)) <=> (funny(X0) & ~funny(X0))) [input p11]
24. tall(fred) [input hypothesis]
67. ! [X0] : (((tall(X0) | wise(X0)) | (~funny(X0) | funny(X0))) & ((funny(X0) & ~funny(X0)) | (... | 0 |
If mary is either calm or funny then someone is either brave or not humble and vice versa.
Everyone who is both patient and not quiet is both funny and calm.
Everyone who is either old or curious is either not quiet or calm.
Everyone who is both not creative and humble is not brave or not happy and vice versa.
Everyone... | Fred is quiet. | entailment | (((calm(mary)<~>funny(mary)))<=>(?[X]:((brave(X)<~>~humble(X)))))&
(![X]:((patient(X)&~quiet(X))=>(funny(X)&calm(X))))&
(![X]:((old(X)<~>curious(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)&humble(X))<=>(~brave(X)|~happy(X))))&
(![X]:(quiet(X)<=>(brave(X)<~>creative(X))))&
(![X]:(funny(X)=>curious(X)))&
(![X]:(ol... | quiet(fred) | [
"p3",
"p4",
"p6",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 252243793818271699864115
% SZS output start Proof for 252243793818271699864115
4. ! [X0] : ((humble(X0) & ~creative(X0)) <=> (~happy(X0) | ~brave(X0))) [input p3]
5. ! [X0] : (quiet(X0) <=> (brave(X0) <~> creative(X0))) [input p4]
7. ! [X0] : (old(X0) <=> happy(X0)) [input p6]
8. ! [X0] :... | 0 |
If someone is either not patient or not happy then someone is either not quiet or not brave and vice versa. If someone is either not old or creative then mary is patient and vice versa. Everyone who is patient is creative. Everyone who is both not calm and rich is patient. Everyone who is either not generous or strong ... | Fred is wise. | contradiction | ((?[X]:((~patient(X)<~>~happy(X))))<=>(?[X]:((~quiet(X)<~>~brave(X)))))&
((?[X]:((~old(X)<~>creative(X))))<=>(patient(mary)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((~calm(X)&rich(X))=>patient(X)))&
(![X]:((~generous(X)<~>strong(X))=>(quiet(X)<~>generous(X))))&
(![X]:((rich(X)<~>brave(X))=>(kind(X)&humble(X))))&
(![... | wise(fred) | [
"p5",
"p6",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8150942890852268527411924
% SZS output start Proof for 8150942890852268527411924
6. ! [X0] : ((rich(X0) <~> brave(X0)) => (humble(X0) & kind(X0))) [input p5]
7. ! [X0] : ((rich(X0) | ~quiet(X0)) => (kind(X0) & ~rich(X0))) [input p6]
8. ? [X0] : (~rich(X0) & ~strong(X0)) <=> (old(lucy) & ~... | 0 |
Everyone who is either not patient or patient is either not kind or not strong and vice versa.
If john is both happy and not creative then alice is not old or tall and vice versa.
If someone is either not generous or not quiet then alice is not funny or not tall.
Everyone who is not wise is both not calm and not funny ... | Alice is kind. | neutral | (![X]:((~patient(X)<~>patient(X))<=>(~kind(X)<~>~strong(X))))&
(((happy(john)&~creative(john)))<=>((~old(alice)|tall(alice))))&
((?[X]:((~generous(X)<~>~quiet(X))))=>((~funny(alice)|~tall(alice))))&
(![X]:(~wise(X)<=>(~calm(X)&~funny(X))))&
(![X]:((~kind(X)&strong(X))=>(~rich(X)<~>kind(X))))&
(![X]:((strong(X)<~>~brave... | kind(alice) | [] | null | 0 |
If someone is not brave then someone is both strong and not kind and vice versa. Everyone who is both kind and not wise is both generous and not generous and vice versa. Everyone who is either wise or not kind is not curious or happy. Everyone who is both rich and quiet is both curious and rich and vice versa. If paul ... | Fred is not curious. | contradiction | ((?[X]:(~brave(X)))<=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:((kind(X)&~wise(X))<=>(generous(X)&~generous(X))))&
(![X]:((wise(X)<~>~kind(X))=>(~curious(X)|happy(X))))&
(![X]:((rich(X)&quiet(X))<=>(curious(X)&rich(X))))&
((tall(paul))=>(?[X]:(kind(X))))&
(![X]:((calm(X)&happy(X))=>(~strong(X)&~tall(X))))&
((?[X]:(~rich(X... | ~curious(fred) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 517526917183810627399399
% SZS output start Proof for 517526917183810627399399
7. ? [X0] : ~rich(X0) <=> (curious(fred) & old(fred)) [input p6]
21. ~old(lucy) & ~rich(lucy) [input p20]
24. ~curious(fred) [input hypothesis]
49. (? [X0] : ~rich(X0) | (~curious(fred) | ~old(fred))) & ((curio... | 0 |
If fred is not rich then alice is creative or happy. If susan is both patient and not funny then john is either funny or not tall and vice versa. Everyone who is not rich is either kind or not strong and vice versa. If someone is tall then someone is either humble or rich. Everyone who is either not wise or old is not ... | Paul is not wise. | contradiction | ((~rich(fred))=>((creative(alice)|happy(alice))))&
(((patient(susan)&~funny(susan)))<=>((funny(john)<~>~tall(john))))&
(![X]:(~rich(X)<=>(kind(X)<~>~strong(X))))&
((?[X]:(tall(X)))=>(?[X]:((humble(X)<~>rich(X)))))&
(![X]:((~wise(X)<~>old(X))<=>(~creative(X)|creative(X))))&
(![X]:((patient(X)&strong(X))<=>patient(X)))&
... | ~wise(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8106630568450133174536380
% SZS output start Proof for 8106630568450133174536380
14. ! [X0] : ((~wise(X0) | brave(X0)) <=> (curious(X0) & ~curious(X0))) [input p13]
23. ~wise(paul) [input hypothesis]
62. ! [X0] : (((~wise(X0) | brave(X0)) | (~curious(X0) | curious(X0))) & ((curious(X0) & ... | 0 |
Everyone who is either quiet or strong is tall or not quiet and vice versa. If alice is either not quiet or curious then someone is either not wise or funny and vice versa. If fred is tall then fred is both brave and strong. Everyone who is wise or not tall is kind and vice versa. Everyone who is rich is either strong ... | Fred is funny. | contradiction | (![X]:((quiet(X)<~>strong(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(alice)<~>curious(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
((tall(fred))=>((brave(fred)&strong(fred))))&
(![X]:((wise(X)|~tall(X))<=>kind(X)))&
(![X]:(rich(X)<=>(strong(X)<~>old(X))))&
(![X]:((kind(X)|generous(X))=>(humble(X)&wise(X))))&
(![X]:((~funny(... | funny(fred) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3694029839301282162724191
% SZS output start Proof for 3694029839301282162724191
1. ! [X0] : ((quiet(X0) <~> strong(X0)) <=> (~quiet(X0) | tall(X0))) [input p0]
3. tall(fred) => (strong(fred) & brave(fred)) [input p2]
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> kind(X0)) [input p3]
5. ! [X0] ... | 0 |
Everyone who is calm is creative or quiet.
If someone is both not patient and not curious then someone is not funny and vice versa.
Everyone who is either not rich or curious is not rich.
If lucy is either not calm or rich then susan is happy.
Everyone who is kind is not strong or not generous.
If someone is happy or n... | Susan is happy. | neutral | (![X]:(calm(X)=>(creative(X)|quiet(X))))&
((?[X]:((~patient(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)<~>curious(X))=>~rich(X)))&
(((~calm(lucy)<~>rich(lucy)))=>(happy(susan)))&
(![X]:(kind(X)=>(~strong(X)|~generous(X))))&
((?[X]:((happy(X)|~creative(X))))=>(?[X]:(~generous(X))))&
(![X]:(funny(X)<=>(humb... | happy(susan) | [] | null | 0 |
Everyone who is kind or not wise is either generous or not humble and vice versa.
If paul is not tall or humble then someone is both not funny and not quiet and vice versa.
Everyone who is either not generous or not creative is patient and vice versa.
If fred is either not brave or wise then someone is not funny or wis... | Fred is calm. | neutral | (![X]:((kind(X)|~wise(X))<=>(generous(X)<~>~humble(X))))&
(((~tall(paul)|humble(paul)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:((~generous(X)<~>~creative(X))<=>patient(X)))&
(((~brave(fred)<~>wise(fred)))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~rich(X)<=>(~brave(X)&~strong(X))))&
((?[X]:((funny(X)|calm(X))))=>(?[X]:(... | calm(fred) | [] | null | 0 |
If lucy is not quiet then fred is not quiet. If john is creative or rich then mary is strong or not old. Everyone who is happy or not old is either not old or rich and vice versa. Everyone who is either not rich or wise is not humble. If lucy is not quiet or not happy then john is both humble and not creative and vice ... | Fred is not funny. | neutral | ((~quiet(lucy))=>(~quiet(fred)))&
(((creative(john)|rich(john)))=>((strong(mary)|~old(mary))))&
(![X]:((happy(X)|~old(X))<=>(~old(X)<~>rich(X))))&
(![X]:((~rich(X)<~>wise(X))=>~humble(X)))&
(((~quiet(lucy)|~happy(lucy)))<=>((humble(john)&~creative(john))))&
(![X]:((curious(X)<~>~calm(X))=>(strong(X)<~>~tall(X))))&
(![X... | ~funny(fred) | [] | null | 0 |
If someone is curious then someone is patient and vice versa. If alice is either tall or not tall then someone is kind or happy and vice versa. If paul is either not humble or not rich then someone is both not tall and not generous and vice versa. Everyone who is either not calm or brave is not tall. If someone is eith... | Alice is not creative. | neutral | ((?[X]:(curious(X)))<=>(?[X]:(patient(X))))&
(((tall(alice)<~>~tall(alice)))<=>(?[X]:((kind(X)|happy(X)))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((~calm(X)<~>brave(X))=>~tall(X)))&
((?[X]:((~calm(X)<~>~creative(X))))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((~patient(X)<~>funny(X... | ~creative(alice) | [] | null | 0 |
Everyone who is either happy or generous is both humble and wise and vice versa.
Everyone who is either creative or not curious is both strong and not tall.
If someone is both not quiet and not rich then someone is tall and vice versa.
If someone is not creative or not kind then someone is funny.
Everyone who is happy ... | Paul is curious. | contradiction | (![X]:((happy(X)<~>generous(X))<=>(humble(X)&wise(X))))&
(![X]:((creative(X)<~>~curious(X))=>(strong(X)&~tall(X))))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(happy(X)=>(~funny(X)|~old(X))))&
(![X]:(kind(X)=>(~curious(X)&~happy(X))))&
(![X]:(~rich(... | curious(paul) | [
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8434758801153374573171119
% SZS output start Proof for 8434758801153374573171119
4. ? [X0] : (~kind(X0) | ~creative(X0)) => ? [X0] : funny(X0) [input p3]
6. ! [X0] : (kind(X0) => (~happy(X0) & ~curious(X0))) [input p5]
13. ! [X0] : (~funny(X0) <=> (~generous(X0) | generous(X0))) [input p1... | 0 |
Everyone who is either not old or humble is both creative and brave and vice versa. If someone is either tall or not strong then someone is both not curious and calm. If lucy is both not generous and not kind then someone is either not funny or calm and vice versa. If someone is either not curious or not funny then luc... | Mary is not old. | neutral | (![X]:((~old(X)<~>humble(X))<=>(creative(X)&brave(X))))&
((?[X]:((tall(X)<~>~strong(X))))=>(?[X]:((~curious(X)&calm(X)))))&
(((~generous(lucy)&~kind(lucy)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>~funny(X))))<=>(~curious(lucy)))&
(![X]:((old(X)|generous(X))<=>(~patient(X)&old(X))))&
(![X]:(humble(X)=... | ~old(mary) | [] | null | 0 |
Everyone who is not calm is either not humble or not wise and vice versa.
If susan is not rich then lucy is both wise and generous.
Everyone who is not humble is not quiet and vice versa.
Everyone who is either not strong or wise is either not humble or not calm.
Everyone who is quiet is not kind or humble and vice ver... | Alice is quiet. | entailment | (![X]:(~calm(X)<=>(~humble(X)<~>~wise(X))))&
((~rich(susan))=>((wise(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~kind(X)|humble(X))))&
(![X]:((quiet(X)|~rich(X))=>(old(X)|~humble(X))))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~cre... | quiet(alice) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5954370961483973911936347
% SZS output start Proof for 5954370961483973911936347
5. ! [X0] : (quiet(X0) <=> (humble(X0) | ~kind(X0))) [input p4]
7. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p6]
22. ~quiet(alice) [input hypothesis]
33. ! [X0] : ((~creative(X0... | 0 |
Everyone who is both not quiet and not happy is not wise.
If fred is generous or not curious then susan is creative or not generous.
If fred is old or not creative then someone is creative or not wise and vice versa.
Everyone who is funny or not creative is not funny and vice versa.
Everyone who is not humble is both n... | Paul is not creative. | entailment | (![X]:((~quiet(X)&~happy(X))=>~wise(X)))&
(((generous(fred)|~curious(fred)))=>((creative(susan)|~generous(susan))))&
(((old(fred)|~creative(fred)))<=>(?[X]:((creative(X)|~wise(X)))))&
(![X]:((funny(X)|~creative(X))<=>~funny(X)))&
(![X]:(~humble(X)<=>(~brave(X)&kind(X))))&
(![X]:(~funny(X)<=>quiet(X)))&
(((quiet(mary)&c... | ~creative(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8957071611328414831921964
% SZS output start Proof for 8957071611328414831921964
4. ! [X0] : ((~creative(X0) | funny(X0)) <=> ~funny(X0)) [input p3]
25. creative(paul) [input hypothesis]
40. ! [X0] : (((~creative(X0) | funny(X0)) | funny(X0)) & (~funny(X0) | (creative(X0) & ~funny(X0)))) ... | 0 |
Everyone who is either not curious or curious is not quiet or not creative.
If someone is curious then someone is not quiet and vice versa.
If lucy is both not rich and not funny then someone is not funny or funny.
Everyone who is either not old or not quiet is both patient and happy and vice versa.
If john is brave or... | Susan is not creative. | entailment | (![X]:((~curious(X)<~>curious(X))=>(~quiet(X)|~creative(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~quiet(X))))&
(((~rich(lucy)&~funny(lucy)))=>(?[X]:((~funny(X)|funny(X)))))&
(![X]:((~old(X)<~>~quiet(X))<=>(patient(X)&happy(X))))&
(((brave(john)|~tall(john)))=>(~humble(alice)))&
((?[X]:((kind(X)&old(X))))<=>(?[X]:(patient(X... | ~creative(susan) | [
"p0",
"p3",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9166206225022960107441300
% SZS output start Proof for 9166206225022960107441300
1. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~creative(X0) | ~quiet(X0))) [input p0]
4. ! [X0] : ((~old(X0) <~> ~quiet(X0)) <=> (happy(X0) & patient(X0))) [input p3]
7. ! [X0] : ((old(X0) & funny(X0)) <=> ... | 0 |
If someone is either not funny or not rich then lucy is funny and vice versa. Everyone who is funny is both tall and humble. Everyone who is not strong is not curious or happy. If alice is not rich then someone is both not old and old. If someone is not wise then mary is either not brave or curious and vice versa. Ever... | Alice is not funny. | entailment | ((?[X]:((~funny(X)<~>~rich(X))))<=>(funny(lucy)))&
(![X]:(funny(X)=>(tall(X)&humble(X))))&
(![X]:(~strong(X)=>(~curious(X)|happy(X))))&
((~rich(alice))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:(~wise(X)))<=>((~brave(mary)<~>curious(mary))))&
(![X]:((brave(X)<~>~brave(X))<=>~patient(X)))&
((?[X]:((creative(X)<~>~wise(X))))<=... | ~funny(alice) | [
"p1",
"p7",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8728541802605543127589758
% SZS output start Proof for 8728541802605543127589758
2. ! [X0] : (funny(X0) => (humble(X0) & tall(X0))) [input p1]
8. ! [X0] : ((tall(X0) | quiet(X0)) <=> (happy(X0) & ~quiet(X0))) [input p7]
11. ! [X0] : ((~humble(X0) | calm(X0)) <=> (~wise(X0) | humble(X0))) ... | 0 |
If someone is brave then lucy is either not rich or calm.
If someone is not creative then someone is calm or tall and vice versa.
Everyone who is both not quiet and not creative is not generous or not wise and vice versa.
Everyone who is both rich and curious is either not patient or wise and vice versa.
Everyone who i... | Fred is curious. | entailment | ((?[X]:(brave(X)))=>((~rich(lucy)<~>calm(lucy))))&
((?[X]:(~creative(X)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:((~quiet(X)&~creative(X))<=>(~generous(X)|~wise(X))))&
(![X]:((rich(X)&curious(X))<=>(~patient(X)<~>wise(X))))&
(![X]:((~kind(X)<~>calm(X))=>(~creative(X)|~kind(X))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>((~hu... | curious(fred) | [
"p2",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6467385099528169629593103
% SZS output start Proof for 6467385099528169629593103
3. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (~wise(X0) | ~generous(X0))) [input p2]
8. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (funny(X0) & curious(X0))) [input p7]
10. (~wise(paul) & happy(paul)) <=> ? [... | 0 |
Everyone who is patient or happy is both not creative and quiet and vice versa. If someone is not calm then someone is not wise or brave. Everyone who is kind is either not patient or tall and vice versa. Everyone who is both patient and not creative is not creative or brave. Everyone who is not quiet or rich is both h... | Alice is strong. | neutral | (![X]:((patient(X)|happy(X))<=>(~creative(X)&quiet(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:(kind(X)<=>(~patient(X)<~>tall(X))))&
(![X]:((patient(X)&~creative(X))=>(~creative(X)|brave(X))))&
(![X]:((~quiet(X)|rich(X))=>(happy(X)&kind(X))))&
(((~tall(fred)&tall(fred)))=>(?[X]:((~happy(X)&generous(... | strong(alice) | [] | null | 0 |
If susan is not wise or patient then john is not tall.
Everyone who is calm or brave is not tall or not patient and vice versa.
If mary is either tall or not rich then mary is either not quiet or tall and vice versa.
If lucy is kind then susan is not quiet or generous.
If paul is both not creative and not generous then... | Paul is calm. | neutral | (((~wise(susan)|patient(susan)))=>(~tall(john)))&
(![X]:((calm(X)|brave(X))<=>(~tall(X)|~patient(X))))&
(((tall(mary)<~>~rich(mary)))<=>((~quiet(mary)<~>tall(mary))))&
((kind(lucy))=>((~quiet(susan)|generous(susan))))&
(((~creative(paul)&~generous(paul)))=>((generous(mary)|happy(mary))))&
(((old(susan)<~>funny(susan)))... | calm(paul) | [] | null | 0 |
Everyone who is not generous or generous is strong or happy and vice versa.
Everyone who is kind or patient is either happy or not funny.
Everyone who is both not quiet and brave is either not funny or not strong and vice versa.
Everyone who is kind is not generous or generous and vice versa.
If someone is either not c... | Paul is strong. | entailment | (![X]:((~generous(X)|generous(X))<=>(strong(X)|happy(X))))&
(![X]:((kind(X)|patient(X))=>(happy(X)<~>~funny(X))))&
(![X]:((~quiet(X)&brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(~generous(X)|generous(X))))&
((?[X]:((~creative(X)<~>funny(X))))<=>(?[X]:((~humble(X)|~strong(X)))))&
(((calm(paul)|creative(paul... | strong(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1243970190766394378675266
% SZS output start Proof for 1243970190766394378675266
1. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (happy(X0) | strong(X0))) [input p0]
2. ! [X0] : ((patient(X0) | kind(X0)) => (happy(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (... | 0 |
Everyone who is rich is not patient and vice versa. Everyone who is wise or not kind is either strong or not quiet and vice versa. Everyone who is patient or wise is not old and vice versa. Everyone who is not brave or not kind is not creative or not curious. If someone is both funny and not patient then john is both g... | Alice is not quiet. | entailment | (![X]:(rich(X)<=>~patient(X)))&
(![X]:((wise(X)|~kind(X))<=>(strong(X)<~>~quiet(X))))&
(![X]:((patient(X)|wise(X))<=>~old(X)))&
(![X]:((~brave(X)|~kind(X))=>(~creative(X)|~curious(X))))&
((?[X]:((funny(X)&~patient(X))))=>((generous(john)&strong(john))))&
((?[X]:(creative(X)))=>((tall(john)<~>~humble(john))))&
((?[X]:((... | ~quiet(alice) | [
"p2",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9004596969287783314420502
% SZS output start Proof for 9004596969287783314420502
3. ! [X0] : ((wise(X0) | patient(X0)) <=> ~old(X0)) [input p2]
13. ! [X0] : ((happy(X0) <~> ~calm(X0)) <=> (~humble(X0) | quiet(X0))) [input p12]
16. ! [X0] : ((~old(X0) & quiet(X0)) => (~calm(X0) <~> ~happy(... | 0 |
Everyone who is not kind or not tall is tall or not generous.
Everyone who is either not curious or not generous is either generous or not tall.
If someone is not calm then mary is not strong or not generous and vice versa.
Everyone who is humble or creative is either not humble or not old.
Everyone who is generous or ... | Mary is not quiet. | neutral | (![X]:((~kind(X)|~tall(X))=>(tall(X)|~generous(X))))&
(![X]:((~curious(X)<~>~generous(X))=>(generous(X)<~>~tall(X))))&
((?[X]:(~calm(X)))<=>((~strong(mary)|~generous(mary))))&
(![X]:((humble(X)|creative(X))=>(~humble(X)<~>~old(X))))&
(![X]:((generous(X)|~calm(X))=>calm(X)))&
(![X]:((funny(X)&~strong(X))=>(~patient(X)|~... | ~quiet(mary) | [] | null | 0 |
Everyone who is not old or tall is either happy or curious and vice versa. Everyone who is both funny and old is not rich and vice versa. If someone is not humble or calm then alice is not strong and vice versa. If someone is either not kind or tall then someone is not humble. Everyone who is both humble and not funny ... | Alice is not creative. | entailment | (![X]:((~old(X)|tall(X))<=>(happy(X)<~>curious(X))))&
(![X]:((funny(X)&old(X))<=>~rich(X)))&
((?[X]:((~humble(X)|calm(X))))<=>(~strong(alice)))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~kind(X)&creative(X))=>calm(X)))&
((?[X]:((patient(X)&... | ~creative(alice) | [
"p2",
"p5",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4303019583743735703447962
% SZS output start Proof for 4303019583743735703447962
3. ? [X0] : (calm(X0) | ~humble(X0)) <=> ~strong(alice) [input p2]
6. ! [X0] : ((creative(X0) & ~kind(X0)) => calm(X0)) [input p5]
11. ! [X0] : ((~generous(X0) | generous(X0)) <=> (~wise(X0) & ~brave(X0))) [i... | 0 |
Everyone who is calm or rich is tall. If mary is not calm then susan is patient. Everyone who is not generous is tall. If someone is quiet or creative then alice is not calm or not happy and vice versa. Everyone who is either tall or generous is not kind or happy. Everyone who is not brave or not curious is either pati... | Paul is tall. | neutral | (![X]:((calm(X)|rich(X))=>tall(X)))&
((~calm(mary))=>(patient(susan)))&
(![X]:(~generous(X)=>tall(X)))&
((?[X]:((quiet(X)|creative(X))))<=>((~calm(alice)|~happy(alice))))&
(![X]:((tall(X)<~>generous(X))=>(~kind(X)|happy(X))))&
(![X]:((~brave(X)|~curious(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:((old(X)<~>generous(X)... | tall(paul) | [] | null | 0 |
If john is either not curious or not tall then john is both not tall and curious and vice versa. Everyone who is curious or not creative is either not brave or humble and vice versa. Everyone who is patient is both tall and not quiet. Everyone who is both creative and not tall is either not quiet or brave. If paul is w... | John is not brave. | contradiction | (((~curious(john)<~>~tall(john)))<=>((~tall(john)&curious(john))))&
(![X]:((curious(X)|~creative(X))<=>(~brave(X)<~>humble(X))))&
(![X]:(patient(X)=>(tall(X)&~quiet(X))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>brave(X))))&
((wise(paul))<=>(?[X]:(~calm(X))))&
(![X]:((patient(X)&humble(X))<=>(~generous(X)<~>curious... | ~brave(john) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4751694928121177489111121
% SZS output start Proof for 4751694928121177489111121
1. (~curious(john) <~> ~tall(john)) <=> (curious(john) & ~tall(john)) [input p0]
2. ! [X0] : ((~creative(X0) | curious(X0)) <=> (~brave(X0) <~> humble(X0))) [input p1]
3. ! [X0] : (patient(X0) => (~quiet(X0) ... | 0 |
If someone is both calm and curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either ... | Mary is wise. | entailment | ((?[X]:((calm(X)&curious(X))))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | wise(mary) | [
"p1",
"p4",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1139000563363364170734475
% SZS output start Proof for 1139000563363364170734475
2. ? [X0] : (~curious(X0) | creative(X0)) <=> ~generous(mary) [input p1]
5. ! [X0] : ((wise(X0) <~> generous(X0)) <=> (~calm(X0) | ~wise(X0))) [input p4]
9. ! [X0] : (humble(X0) <=> (tall(X0) | curious(X0))) ... | 0 |
If someone is kind then susan is both strong and humble and vice versa.
Everyone who is both not brave and funny is not wise or wise and vice versa.
Everyone who is either rich or not patient is either not brave or not kind and vice versa.
If someone is both kind and funny then mary is both generous and not kind and vi... | Lucy is not happy. | neutral | ((?[X]:(kind(X)))<=>((strong(susan)&humble(susan))))&
(![X]:((~brave(X)&funny(X))<=>(~wise(X)|wise(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~brave(X)<~>~kind(X))))&
((?[X]:((kind(X)&funny(X))))<=>((generous(mary)&~kind(mary))))&
(((tall(fred)&strong(fred)))<=>(?[X]:((curious(X)|~generous(X)))))&
((?[X]:((~humble(X)|~ge... | ~happy(lucy) | [] | null | 0 |
If someone is both not happy and not kind then susan is not quiet or not wise and vice versa.
Everyone who is not calm or not brave is both not curious and tall.
If alice is tall then someone is not funny or not old.
Everyone who is not kind is both rich and not quiet and vice versa.
Everyone who is quiet or creative i... | Alice is wise. | contradiction | ((?[X]:((~happy(X)&~kind(X))))<=>((~quiet(susan)|~wise(susan))))&
(![X]:((~calm(X)|~brave(X))=>(~curious(X)&tall(X))))&
((tall(alice))=>(?[X]:((~funny(X)|~old(X)))))&
(![X]:(~kind(X)<=>(rich(X)&~quiet(X))))&
(![X]:((quiet(X)|creative(X))<=>(funny(X)<~>~patient(X))))&
(![X]:((creative(X)<~>~humble(X))<=>humble(X)))&
(![... | wise(alice) | [
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8502969627782435456724031
% SZS output start Proof for 8502969627782435456724031
6. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> humble(X0)) [input p5]
7. ! [X0] : (wise(X0) <=> (tall(X0) & ~kind(X0))) [input p6]
9. ? [X0] : (~creative(X0) & generous(X0)) <=> (brave(alice) | happy(alice))... | 0 |
Everyone who is either old or not brave is either creative or not wise and vice versa. Everyone who is either not quiet or funny is not creative or not quiet. Everyone who is either curious or strong is both not wise and humble. If someone is not happy then someone is either not brave or not funny and vice versa. If so... | Mary is calm. | neutral | (![X]:((old(X)<~>~brave(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~creative(X)|~quiet(X))))&
(![X]:((curious(X)<~>strong(X))=>(~wise(X)&humble(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~brave(X)<~>~funny(X)))))&
((?[X]:((~rich(X)&old(X))))=>((creative(lucy)&rich(lucy))))&
(![X]:((funny(X)&old(X))<=>h... | calm(mary) | [] | null | 0 |
If someone is not happy then john is either not strong or not curious and vice versa.
If john is either generous or not rich then someone is happy or not creative.
Everyone who is both tall and quiet is humble or not quiet.
If paul is happy then paul is old and vice versa.
If someone is not curious then lucy is patient... | Fred is not brave. | neutral | ((?[X]:(~happy(X)))<=>((~strong(john)<~>~curious(john))))&
(((generous(john)<~>~rich(john)))=>(?[X]:((happy(X)|~creative(X)))))&
(![X]:((tall(X)&quiet(X))=>(humble(X)|~quiet(X))))&
((happy(paul))<=>(old(paul)))&
((?[X]:(~curious(X)))<=>((patient(lucy)|~old(lucy))))&
(![X]:((creative(X)&~calm(X))<=>humble(X)))&
(((stron... | ~brave(fred) | [] | null | 0 |
If someone is kind or humble then fred is both not funny and not rich.
Everyone who is either rich or not rich is both old and quiet and vice versa.
Everyone who is tall is not funny or not quiet and vice versa.
If someone is brave or quiet then someone is either calm or wise.
Everyone who is curious is either patient ... | Lucy is not patient. | contradiction | ((?[X]:((kind(X)|humble(X))))=>((~funny(fred)&~rich(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>(old(X)&quiet(X))))&
(![X]:(tall(X)<=>(~funny(X)|~quiet(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:(curious(X)<=>(patient(X)<~>~humble(X))))&
(((generous(lucy)|~tall(lucy)))=>(?[X]:((~creative(X)<... | ~patient(lucy) | [
"p2",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4212809785828810821114606
% SZS output start Proof for 4212809785828810821114606
3. ! [X0] : (tall(X0) <=> (~quiet(X0) | ~funny(X0))) [input p2]
9. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (generous(X0) <~> ~funny(X0))) [input p8]
11. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p10]
12. !... | 0 |
Everyone who is both patient and not happy is tall or creative.
Everyone who is both not humble and not kind is either not happy or humble and vice versa.
If someone is creative or calm then alice is both not old and happy.
If john is tall then someone is curious or not funny and vice versa.
If someone is both not rich... | Susan is not quiet. | contradiction | (![X]:((patient(X)&~happy(X))=>(tall(X)|creative(X))))&
(![X]:((~humble(X)&~kind(X))<=>(~happy(X)<~>humble(X))))&
((?[X]:((creative(X)|calm(X))))=>((~old(alice)&happy(alice))))&
((tall(john))<=>(?[X]:((curious(X)|~funny(X)))))&
((?[X]:((~rich(X)&~creative(X))))<=>((~generous(paul)&quiet(paul))))&
(((creative(susan)|~qu... | ~quiet(susan) | [
"p1",
"p2",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 347288437204374388560697
% SZS output start Proof for 347288437204374388560697
2. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (~happy(X0) <~> humble(X0))) [input p1]
3. ? [X0] : (calm(X0) | creative(X0)) => (happy(alice) & ~old(alice)) [input p2]
6. (~quiet(susan) | creative(susan)) <=> ? [X0... | 0 |
Everyone who is curious is either not quiet or not patient.
Everyone who is either not old or not happy is not funny and vice versa.
Everyone who is funny or brave is either not tall or creative and vice versa.
If someone is both tall and rich then paul is either not generous or wise.
If lucy is both wise and old then ... | Lucy is creative. | neutral | (![X]:(curious(X)=>(~quiet(X)<~>~patient(X))))&
(![X]:((~old(X)<~>~happy(X))<=>~funny(X)))&
(![X]:((funny(X)|brave(X))<=>(~tall(X)<~>creative(X))))&
((?[X]:((tall(X)&rich(X))))=>((~generous(paul)<~>wise(paul))))&
(((wise(lucy)&old(lucy)))=>((~generous(alice)|tall(alice))))&
(![X]:((~humble(X)&~strong(X))=>(wise(X)|happ... | creative(lucy) | [] | null | 0 |
If someone is humble or kind then someone is both quiet and not old and vice versa. If someone is either not brave or not quiet then someone is not generous. Everyone who is both not funny and not brave is calm and vice versa. Everyone who is brave or old is both not rich and curious and vice versa. If mary is wise or ... | Susan is not tall. | neutral | ((?[X]:((humble(X)|kind(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(?[X]:... | ~tall(susan) | [] | null | 0 |
If fred is both funny and not brave then someone is rich or strong and vice versa.
If someone is not creative or not happy then someone is both patient and humble.
If someone is either kind or generous then fred is either not wise or tall.
Everyone who is not creative is not quiet and vice versa.
If someone is humble t... | Fred is tall. | entailment | (((funny(fred)&~brave(fred)))<=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:((patient(X)&humble(X)))))&
((?[X]:((kind(X)<~>generous(X))))=>((~wise(fred)<~>tall(fred))))&
(![X]:(~creative(X)<=>~quiet(X)))&
((?[X]:(humble(X)))=>(?[X]:(calm(X))))&
(![X]:((humble(X)&brave(X))<=>(~tall(X)|~patie... | tall(fred) | [
"p0",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2275173514947451780862150
% SZS output start Proof for 2275173514947451780862150
1. (~brave(fred) & funny(fred)) <=> ? [X0] : (strong(X0) | rich(X0)) [input p0]
6. ! [X0] : ((brave(X0) & humble(X0)) <=> (~patient(X0) | ~tall(X0))) [input p5]
17. ? [X0] : (happy(X0) & strong(X0)) [input p1... | 0 |
If john is creative or not creative then lucy is not funny and vice versa.
Everyone who is either not patient or wise is wise.
If someone is humble or not funny then someone is either not wise or happy and vice versa.
If someone is calm or not happy then someone is old and vice versa.
If someone is not tall or old then... | Paul is not generous. | contradiction | (((creative(john)|~creative(john)))<=>(~funny(lucy)))&
(![X]:((~patient(X)<~>wise(X))=>wise(X)))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:((~wise(X)<~>happy(X)))))&
((?[X]:((calm(X)|~happy(X))))<=>(?[X]:(old(X))))&
((?[X]:((~tall(X)|old(X))))<=>((~happy(john)<~>~generous(john))))&
((~funny(susan))=>((~old(susan)&~quiet... | ~generous(paul) | [
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8502087752712977056296929
% SZS output start Proof for 8502087752712977056296929
12. ! [X0] : ((~calm(X0) | happy(X0)) <=> generous(X0)) [input p11]
15. ! [X0] : ((~humble(X0) & happy(X0)) <=> ~brave(X0)) [input p14]
22. ~kind(paul) & ~brave(paul) [input p21]
25. ~generous(paul) [input hy... | 0 |
If fred is both not old and happy then john is calm. Everyone who is curious is both tall and not old and vice versa. Everyone who is not brave or not calm is either funny or not old. Everyone who is wise or old is either humble or not strong. Everyone who is not happy or rich is either not kind or generous. If susan i... | Lucy is creative. | entailment | (((~old(fred)&happy(fred)))=>(calm(john)))&
(![X]:(curious(X)<=>(tall(X)&~old(X))))&
(![X]:((~brave(X)|~calm(X))=>(funny(X)<~>~old(X))))&
(![X]:((wise(X)|old(X))=>(humble(X)<~>~strong(X))))&
(![X]:((~happy(X)|rich(X))=>(~kind(X)<~>generous(X))))&
(((~strong(susan)|tall(susan)))<=>((funny(lucy)&~patient(lucy))))&
(![X]:... | creative(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6467512661643979441725711
% SZS output start Proof for 6467512661643979441725711
7. ! [X0] : ((~happy(X0) | creative(X0)) <=> happy(X0)) [input p6]
24. ~creative(lucy) [input hypothesis]
44. ! [X0] : (((~happy(X0) | creative(X0)) | ~happy(X0)) & (happy(X0) | (happy(X0) & ~creative(X0)))) ... | 0 |
Everyone who is quiet is either tall or generous and vice versa.
If mary is not kind then lucy is not funny or not patient.
Everyone who is not brave or not funny is both not calm and creative and vice versa.
Everyone who is not strong or patient is either happy or not quiet and vice versa.
Everyone who is both not ric... | Alice is not wise. | entailment | (![X]:(quiet(X)<=>(tall(X)<~>generous(X))))&
((~kind(mary))=>((~funny(lucy)|~patient(lucy))))&
(![X]:((~brave(X)|~funny(X))<=>(~calm(X)&creative(X))))&
(![X]:((~strong(X)|patient(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~rich(X)&brave(X))<=>(wise(X)|quiet(X))))&
((?[X]:((patient(X)&~quiet(X))))=>((brave(fred)&~old(fred)... | ~wise(alice) | [
"p4",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7033705588115759798758652
% SZS output start Proof for 7033705588115759798758652
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> (quiet(X0) | wise(X0))) [input p4]
10. ~curious(lucy) <=> rich(alice) [input p9]
22. happy(lucy) & ~curious(lucy) [input p21]
25. wise(alice) [input hypothesis]
39. ! ... | 0 |
Everyone who is either patient or brave is not humble and vice versa.
If susan is either creative or not creative then someone is tall and vice versa.
If mary is creative or not creative then john is curious or not patient.
Everyone who is either curious or not calm is both generous and humble.
If someone is both creat... | Lucy is patient. | entailment | (![X]:((patient(X)<~>brave(X))<=>~humble(X)))&
(((creative(susan)<~>~creative(susan)))<=>(?[X]:(tall(X))))&
(((creative(mary)|~creative(mary)))=>((curious(john)|~patient(john))))&
(![X]:((curious(X)<~>~calm(X))=>(generous(X)&humble(X))))&
((?[X]:((creative(X)&wise(X))))<=>(?[X]:((~happy(X)&generous(X)))))&
((old(alice)... | patient(lucy) | [
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8453743687871532924553384
% SZS output start Proof for 8453743687871532924553384
12. ! [X0] : (~patient(X0) <=> (~kind(X0) & ~strong(X0))) [input p11]
13. ? [X0] : (~patient(X0) | creative(X0)) => (~generous(paul) & ~strong(paul)) [input p12]
16. ! [X0] : ((~kind(X0) <~> patient(X0)) => (... | 0 |
If alice is not patient or not calm then fred is brave or humble. Everyone who is not kind is either not generous or quiet. If fred is tall then paul is strong or not quiet. Everyone who is not funny is not curious and vice versa. Everyone who is either rich or calm is not generous or curious. Everyone who is old or wi... | Mary is strong. | entailment | (((~patient(alice)|~calm(alice)))=>((brave(fred)|humble(fred))))&
(![X]:(~kind(X)=>(~generous(X)<~>quiet(X))))&
((tall(fred))=>((strong(paul)|~quiet(paul))))&
(![X]:(~funny(X)<=>~curious(X)))&
(![X]:((rich(X)<~>calm(X))=>(~generous(X)|curious(X))))&
(![X]:((old(X)|wise(X))<=>(quiet(X)&~wise(X))))&
((?[X]:((old(X)&~funn... | strong(mary) | [
"p5",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5413651719897713873680586
% SZS output start Proof for 5413651719897713873680586
6. ! [X0] : ((wise(X0) | old(X0)) <=> (~wise(X0) & quiet(X0))) [input p5]
7. ? [X0] : (~funny(X0) & old(X0)) <=> (~wise(fred) & ~generous(fred)) [input p6]
10. ! [X0] : ((~wise(X0) | wise(X0)) <=> (~humble(X0... | 0 |
If fred is patient then fred is either not brave or quiet and vice versa.
If susan is not generous then someone is rich and vice versa.
Everyone who is either not tall or rich is both happy and tall.
Everyone who is either wise or tall is not brave.
If susan is either kind or not humble then someone is happy or patient... | Mary is funny. | neutral | ((patient(fred))<=>((~brave(fred)<~>quiet(fred))))&
((~generous(susan))<=>(?[X]:(rich(X))))&
(![X]:((~tall(X)<~>rich(X))=>(happy(X)&tall(X))))&
(![X]:((wise(X)<~>tall(X))=>~brave(X)))&
(((kind(susan)<~>~humble(susan)))<=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~creative(X)|rich(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:... | funny(mary) | [] | null | 0 |
If susan is not kind or not calm then alice is patient or creative and vice versa.
If mary is not happy or not brave then someone is both calm and rich and vice versa.
Everyone who is both not kind and not old is either strong or not tall and vice versa.
Everyone who is not funny is both patient and kind.
Everyone who ... | Lucy is calm. | entailment | (((~kind(susan)|~calm(susan)))<=>((patient(alice)|creative(alice))))&
(((~happy(mary)|~brave(mary)))<=>(?[X]:((calm(X)&rich(X)))))&
(![X]:((~kind(X)&~old(X))<=>(strong(X)<~>~tall(X))))&
(![X]:(~funny(X)=>(patient(X)&kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(generous(X)<~>~kind(X))))&
((~curious(mary))<=>(?[X]:((pat... | calm(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7635273912617158979682054
% SZS output start Proof for 7635273912617158979682054
15. ! [X0] : (calm(X0) <=> (~brave(X0) | ~calm(X0))) [input p14]
24. ~calm(lucy) [input hypothesis]
75. ! [X0] : ((calm(X0) | (brave(X0) & calm(X0))) & ((~brave(X0) | ~calm(X0)) | ~calm(X0))) [nnf transformat... | 0 |
If someone is both calm and not kind then alice is either curious or tall. Everyone who is not happy or not old is tall or not wise. If susan is both funny and not tall then paul is old or not creative. Everyone who is not patient or old is either wise or strong. Everyone who is both tall and generous is old or tall. E... | Lucy is generous. | contradiction | ((?[X]:((calm(X)&~kind(X))))=>((curious(alice)<~>tall(alice))))&
(![X]:((~happy(X)|~old(X))=>(tall(X)|~wise(X))))&
(((funny(susan)&~tall(susan)))=>((old(paul)|~creative(paul))))&
(![X]:((~patient(X)|old(X))=>(wise(X)<~>strong(X))))&
(![X]:((tall(X)&generous(X))=>(old(X)|tall(X))))&
(![X]:((~wise(X)&~old(X))<=>(quiet(X)... | generous(lucy) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 201312465321663391129663
% SZS output start Proof for 201312465321663391129663
8. ! [X0] : ((generous(X0) | happy(X0)) => calm(X0)) [input p7]
19. tall(lucy) & ~calm(lucy) [input p18]
24. generous(lucy) [input hypothesis]
35. ! [X0] : (calm(X0) | (~generous(X0) & ~happy(X0))) [ennf transf... | 0 |
Everyone who is either generous or strong is not generous.
Everyone who is either creative or tall is creative or kind and vice versa.
Everyone who is not kind or wise is both not kind and funny and vice versa.
If someone is curious then paul is either curious or not tall and vice versa.
Everyone who is both not funny ... | Mary is curious. | neutral | (![X]:((generous(X)<~>strong(X))=>~generous(X)))&
(![X]:((creative(X)<~>tall(X))<=>(creative(X)|kind(X))))&
(![X]:((~kind(X)|wise(X))<=>(~kind(X)&funny(X))))&
((?[X]:(curious(X)))<=>((curious(paul)<~>~tall(paul))))&
(![X]:((~funny(X)&rich(X))=>~wise(X)))&
(((~generous(alice)<~>~old(alice)))<=>(?[X]:((~calm(X)&tall(X)))... | curious(mary) | [] | null | 0 |
Everyone who is not strong is quiet or not funny and vice versa. If someone is wise or not generous then someone is not funny or rich. If someone is rich then mary is both rich and tall. If someone is not patient or not rich then mary is both not wise and kind and vice versa. If someone is humble or not happy then some... | Lucy is rich. | entailment | (![X]:(~strong(X)<=>(quiet(X)|~funny(X))))&
((?[X]:((wise(X)|~generous(X))))=>(?[X]:((~funny(X)|rich(X)))))&
((?[X]:(rich(X)))=>((rich(mary)&tall(mary))))&
((?[X]:((~patient(X)|~rich(X))))<=>((~wise(mary)&kind(mary))))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:((~funny(X)|~generous(X))<=>~k... | rich(lucy) | [
"p3",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1396105691368327275960555
% SZS output start Proof for 1396105691368327275960555
4. ? [X0] : (~rich(X0) | ~patient(X0)) <=> (kind(mary) & ~wise(mary)) [input p3]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> ~kind(X0)) [input p5]
12. ! [X0] : ((wise(X0) | funny(X0)) => (wise(X0) & ~patien... | 0 |
Everyone who is not creative is both not happy and not old and vice versa.
If someone is patient then paul is tall or not happy and vice versa.
Everyone who is either not old or not curious is not curious and vice versa.
If mary is either kind or rich then someone is either not happy or not kind.
Everyone who is not ol... | Paul is not creative. | contradiction | (![X]:(~creative(X)<=>(~happy(X)&~old(X))))&
((?[X]:(patient(X)))<=>((tall(paul)|~happy(paul))))&
(![X]:((~old(X)<~>~curious(X))<=>~curious(X)))&
(((kind(mary)<~>rich(mary)))=>(?[X]:((~happy(X)<~>~kind(X)))))&
(![X]:(~old(X)=>(~tall(X)<~>humble(X))))&
((?[X]:((~generous(X)<~>~wise(X))))=>((curious(fred)|~kind(fred))))&... | ~creative(paul) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5208620681401762639582628
% SZS output start Proof for 5208620681401762639582628
1. ! [X0] : (~creative(X0) <=> (~old(X0) & ~happy(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> ~curious(X0)) [input p2]
25. ~creative(paul) [input hypothesis]
42. ! [X0] : ((~creative(X0) | (... | 0 |
Everyone who is both tall and generous is both old and not tall and vice versa.
If fred is not patient then someone is either not happy or calm.
Everyone who is both funny and not happy is patient or old.
Everyone who is either rich or brave is not brave or not patient and vice versa.
Everyone who is both not calm and ... | Lucy is rich. | entailment | (![X]:((tall(X)&generous(X))<=>(old(X)&~tall(X))))&
((~patient(fred))=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((funny(X)&~happy(X))=>(patient(X)|old(X))))&
(![X]:((rich(X)<~>brave(X))<=>(~brave(X)|~patient(X))))&
(![X]:((~calm(X)&creative(X))<=>~generous(X)))&
(![X]:((~strong(X)&quiet(X))=>(~wise(X)&patient(X))))&
(![X... | rich(lucy) | [
"p3",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1999333516479656442135492
% SZS output start Proof for 1999333516479656442135492
4. ! [X0] : ((rich(X0) <~> brave(X0)) <=> (~patient(X0) | ~brave(X0))) [input p3]
7. ! [X0] : ((curious(X0) | ~tall(X0)) => (~brave(X0) & ~kind(X0))) [input p6]
17. curious(lucy) & funny(lucy) [input p16]
24.... | 0 |
Everyone who is funny or not strong is not happy or not creative and vice versa.
If someone is both kind and old then someone is both happy and old.
Everyone who is not rich is strong and vice versa.
If someone is wise then someone is either tall or not calm and vice versa.
Everyone who is kind is both not wise and cal... | Susan is rich. | neutral | (![X]:((funny(X)|~strong(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((kind(X)&old(X))))=>(?[X]:((happy(X)&old(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:(wise(X)))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(![X]:(kind(X)<=>(~wise(X)&calm(X))))&
(![X]:((~happy(X)&~wise(X))<=>(~quiet(X)&tall(X))))&
(![X]:((~brave(X)<~>~old(X))=... | rich(susan) | [] | null | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa. If someone is either brave or not wise then someone is either happy or not wise and vice versa. Everyone who is either old or quiet is not wise or not tall. If alice is not patient then someone is not generous or not funny and vice ve... | John is rich. | entailment | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((old(X)<~>quiet(X))=>(~wise(X)|~tall(X))))&
((~patient(alice))<=>(?[X]:((~generous(X)|~funny(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((kind(X)|~calm(X))<=>tall(X)))&... | rich(john) | [
"p3",
"p13",
"p15",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1997654339712690911139756
% SZS output start Proof for 1997654339712690911139756
4. ~patient(alice) <=> ? [X0] : (~funny(X0) | ~generous(X0)) [input p3]
14. ! [X0] : ((funny(X0) | rich(X0)) <=> humble(X0)) [input p13]
16. ? [X0] : (happy(X0) & ~rich(X0)) => (calm(alice) & patient(alice)) ... | 0 |
Everyone who is old or wise is kind or brave. If someone is either not rich or funny then fred is either creative or humble. Everyone who is quiet is either not rich or not kind. Everyone who is not funny is both patient and not humble and vice versa. Everyone who is both not old and kind is both not rich and not humbl... | Paul is not curious. | contradiction | (![X]:((old(X)|wise(X))=>(kind(X)|brave(X))))&
((?[X]:((~rich(X)<~>funny(X))))=>((creative(fred)<~>humble(fred))))&
(![X]:(quiet(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(~funny(X)<=>(patient(X)&~humble(X))))&
(![X]:((~old(X)&kind(X))=>(~rich(X)&~humble(X))))&
(![X]:((~rich(X)&~quiet(X))<=>(~humble(X)&curious(X))))&
(![X]:((... | ~curious(paul) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3445888039020798351969795
% SZS output start Proof for 3445888039020798351969795
3. ! [X0] : (quiet(X0) => (~rich(X0) <~> ~kind(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~old(X0)) => (~humble(X0) & ~rich(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> (curious(X0) & ~humble(X0)... | 0 |
If lucy is either kind or creative then someone is either not brave or not strong.
Everyone who is not curious is either not calm or happy and vice versa.
If mary is not rich then lucy is calm or not brave and vice versa.
Everyone who is curious or not patient is either not tall or quiet and vice versa.
If someone is b... | Mary is calm. | entailment | (((kind(lucy)<~>creative(lucy)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:(~curious(X)<=>(~calm(X)<~>happy(X))))&
((~rich(mary))<=>((calm(lucy)|~brave(lucy))))&
(![X]:((curious(X)|~patient(X))<=>(~tall(X)<~>quiet(X))))&
((?[X]:((~tall(X)&~curious(X))))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:(brave(X)=>(rich(X)<~>... | calm(mary) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3011500540774978222544330
% SZS output start Proof for 3011500540774978222544330
2. ! [X0] : (~curious(X0) <=> (~calm(X0) <~> happy(X0))) [input p1]
4. ! [X0] : ((~patient(X0) | curious(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p3]
5. ? [X0] : (~curious(X0) & ~tall(X0)) => ? [X0] : (curi... | 0 |
If susan is not curious or not kind then john is humble.
Everyone who is not humble or not tall is not calm or humble and vice versa.
If susan is both not generous and kind then fred is either not brave or not kind.
Everyone who is both not old and tall is creative or old and vice versa.
Everyone who is both not humble... | Susan is not creative. | contradiction | (((~curious(susan)|~kind(susan)))=>(humble(john)))&
(![X]:((~humble(X)|~tall(X))<=>(~calm(X)|humble(X))))&
(((~generous(susan)&kind(susan)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~old(X)&tall(X))<=>(creative(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~brave(X)|patient(X))))&
(![X]:((~creative(X)|wise(X))=>(~c... | ~creative(susan) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6503587000495728538436361
% SZS output start Proof for 6503587000495728538436361
1. (~kind(susan) | ~curious(susan)) => humble(john) [input p0]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (old(X0) | creative(X0))) [input p3]
5. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (patient(X0) | ~brave(X... | 0 |
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