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 kind then john is patient or not creative and vice versa. If someone is either happy or not humble then mary is either strong or patient and vice versa. Everyone who is both not brave and not old is creative. If someone is not humble or funny then someone is both tall and not wise and vice versa. If someo... | Mary is patient. | contradiction | ((?[X]:(kind(X)))<=>((patient(john)|~creative(john))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((strong(mary)<~>patient(mary))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X)&~wise(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((quiet(X)|hum... | patient(mary) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2068410428565951857597718
% SZS output start Proof for 2068410428565951857597718
9. ! [X0] : ((calm(X0) | ~brave(X0)) => (humble(X0) | ~patient(X0))) [input p8]
15. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p14]
21. patient(mary) [input hypothesis]
27. ! [... | 0 |
If someone is either not calm or not strong then susan is kind. Everyone who is rich or not creative is both tall and not quiet. If someone is either not brave or creative then susan is not rich. If someone is not kind then someone is strong or curious and vice versa. Everyone who is curious is either patient or humble... | Fred is patient. | contradiction | ((?[X]:((~calm(X)<~>~strong(X))))=>(kind(susan)))&
(![X]:((rich(X)|~creative(X))=>(tall(X)&~quiet(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(~rich(susan)))&
((?[X]:(~kind(X)))<=>(?[X]:((strong(X)|curious(X)))))&
(![X]:(curious(X)=>(patient(X)<~>humble(X))))&
(![X]:((~happy(X)<~>~curious(X))<=>~humble(X)))&
(![X]:((st... | patient(fred) | [
"p9",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2917451132425934125311375
% SZS output start Proof for 2917451132425934125311375
10. ! [X0] : ((~wise(X0) | rich(X0)) <=> ~kind(X0)) [input p9]
13. ! [X0] : (~rich(X0) => (strong(X0) <~> ~patient(X0))) [input p12]
22. ~patient(fred) | kind(fred) [input p21]
23. ~strong(fred) [input p22]
2... | 0 |
If someone is old or not kind then someone is both not patient and not rich and vice versa.
Everyone who is strong or not old is both rich and not tall.
If someone is funny or not funny then someone is funny or rich and vice versa.
Everyone who is generous is both funny and happy.
Everyone who is both not funny and not... | John is humble. | contradiction | ((?[X]:((old(X)|~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((strong(X)|~old(X))=>(rich(X)&~tall(X))))&
((?[X]:((funny(X)|~funny(X))))<=>(?[X]:((funny(X)|rich(X)))))&
(![X]:(generous(X)=>(funny(X)&happy(X))))&
(![X]:((~funny(X)&~humble(X))<=>(humble(X)|~old(X))))&
(![X]:(old(X)<=>~brave(X)))&
((?[X]:((curious... | humble(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2888146367465046187505020
% SZS output start Proof for 2888146367465046187505020
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (~old(X0) | humble(X0))) [input p4]
24. humble(john) [input hypothesis]
47. ! [X0] : (((~humble(X0) & ~funny(X0)) | (old(X0) & ~humble(X0))) & ((~old(X0) | humble(X... | 0 |
Everyone who is both not calm and generous is not wise. Everyone who is not wise or curious is either not humble or old. If someone is rich then mary is wise or not generous. If someone is either not brave or funny then lucy is either not quiet or not brave. Everyone who is not kind or not quiet is both happy and quiet... | Mary is not happy. | contradiction | (![X]:((~calm(X)&generous(X))=>~wise(X)))&
(![X]:((~wise(X)|curious(X))=>(~humble(X)<~>old(X))))&
((?[X]:(rich(X)))=>((wise(mary)|~generous(mary))))&
((?[X]:((~brave(X)<~>funny(X))))=>((~quiet(lucy)<~>~brave(lucy))))&
(![X]:((~kind(X)|~quiet(X))=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)|~generous(X))<=>~kind(X)))&
((~r... | ~happy(mary) | [
"p4",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2398658510961488540530355
% SZS output start Proof for 2398658510961488540530355
5. ! [X0] : ((~quiet(X0) | ~kind(X0)) => (quiet(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> ~kind(X0)) [input p5]
12. ! [X0] : ((wise(X0) | funny(X0)) => (wise(X0) & ~patient(X0... | 0 |
Everyone who is not tall or funny is not happy.
Everyone who is strong or not old is either not old or not happy and vice versa.
Everyone who is either not humble or not old is creative.
If paul is not patient then fred is both not funny and not rich.
If paul is either calm or not strong then someone is both funny and ... | Alice is not creative. | contradiction | (![X]:((~tall(X)|funny(X))=>~happy(X)))&
(![X]:((strong(X)|~old(X))<=>(~old(X)<~>~happy(X))))&
(![X]:((~humble(X)<~>~old(X))=>creative(X)))&
((~patient(paul))=>((~funny(fred)&~rich(fred))))&
(((calm(paul)<~>~strong(paul)))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:((happy(X)|curious(X))<=>(curious(X)&calm(X))))&
(![X]:(humb... | ~creative(alice) | [
"p0",
"p1",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7821184317123875432329105
% SZS output start Proof for 7821184317123875432329105
1. ! [X0] : ((funny(X0) | ~tall(X0)) => ~happy(X0)) [input p0]
2. ! [X0] : ((~old(X0) | strong(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p1]
12. ! [X0] : (funny(X0) => (~creative(X0) <~> old(X0))) [input p11... | 0 |
Everyone who is curious is not old or humble and vice versa.
Everyone who is funny is not patient and vice versa.
Everyone who is either happy or curious is either old or curious and vice versa.
If john is generous then someone is strong or not strong and vice versa.
Everyone who is either not generous or generous is n... | John is not funny. | entailment | (![X]:(curious(X)<=>(~old(X)|humble(X))))&
(![X]:(funny(X)<=>~patient(X)))&
(![X]:((happy(X)<~>curious(X))<=>(old(X)<~>curious(X))))&
((generous(john))<=>(?[X]:((strong(X)|~strong(X)))))&
(![X]:((~generous(X)<~>generous(X))<=>~kind(X)))&
(![X]:((~calm(X)|kind(X))<=>(~happy(X)|~tall(X))))&
(![X]:((old(X)&strong(X))<=>(b... | ~funny(john) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 267402356402884553396190
% SZS output start Proof for 267402356402884553396190
1. ! [X0] : (curious(X0) <=> (humble(X0) | ~old(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> curious(X0)) <=> (old(X0) <~> curious(X0))) [input p2]
5. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> ~kind(X0)) [... | 0 |
If someone is both kind and not humble then susan is humble and vice versa. If susan is not happy or not brave then someone is not patient or wise and vice versa. Everyone who is not strong is either not patient or not happy and vice versa. If paul is kind then someone is not generous and vice versa. If john is both no... | John is not brave. | contradiction | ((?[X]:((kind(X)&~humble(X))))<=>(humble(susan)))&
(((~happy(susan)|~brave(susan)))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:(~strong(X)<=>(~patient(X)<~>~happy(X))))&
((kind(paul))<=>(?[X]:(~generous(X))))&
(((~happy(john)&patient(john)))<=>(?[X]:((old(X)|~patient(X)))))&
(![X]:((~calm(X)|generous(X))=>rich(X)))&
(![X... | ~brave(john) | [
"p8",
"p9",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 193272865862970562650010
% SZS output start Proof for 193272865862970562650010
9. ! [X0] : (happy(X0) => (~wise(X0) & funny(X0))) [input p8]
10. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (brave(X0) & ~calm(X0))) [input p9]
14. ! [X0] : (~strong(X0) <=> (~funny(X0) & ~calm(X0))) [input p13... | 0 |
If susan is both not old and not creative then someone is not funny and vice versa.
Everyone who is either not humble or kind is both generous and not kind and vice versa.
Everyone who is both not generous and not funny is either not generous or wise and vice versa.
Everyone who is curious is strong or not rich and vic... | Fred is not creative. | neutral | (((~old(susan)&~creative(susan)))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(generous(X)&~kind(X))))&
(![X]:((~generous(X)&~funny(X))<=>(~generous(X)<~>wise(X))))&
(![X]:(curious(X)<=>(strong(X)|~rich(X))))&
(![X]:((brave(X)|~rich(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((old(X)|~kind(X))=>(~humble(X)&~stron... | ~creative(fred) | [] | null | 0 |
Everyone who is not rich or not strong is wise. If susan is calm or not strong then john is not generous or tall and vice versa. If someone is either brave or not strong then someone is old or not quiet. If mary is not strong then someone is old or not funny and vice versa. Everyone who is both wise and not curious is ... | Mary is wise. | entailment | (![X]:((~rich(X)|~strong(X))=>wise(X)))&
(((calm(susan)|~strong(susan)))<=>((~generous(john)|tall(john))))&
((?[X]:((brave(X)<~>~strong(X))))=>(?[X]:((old(X)|~quiet(X)))))&
((~strong(mary))<=>(?[X]:((old(X)|~funny(X)))))&
(![X]:((wise(X)&~curious(X))=>(brave(X)&generous(X))))&
(![X]:((~generous(X)|creative(X))=>(~tall(... | wise(mary) | [
"p0",
"p3",
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5267480434553374630440825
% SZS output start Proof for 5267480434553374630440825
1. ! [X0] : ((~strong(X0) | ~rich(X0)) => wise(X0)) [input p0]
4. ~strong(mary) <=> ? [X0] : (~funny(X0) | old(X0)) [input p3]
7. ! [X0] : (~rich(X0) => (~happy(X0) & ~tall(X0))) [input p6]
8. ! [X0] : ((old(... | 0 |
If someone is both happy and not humble then someone is either not strong or not quiet and vice versa.
If someone is not generous then alice is both not patient and old.
Everyone who is calm or not happy is patient.
Everyone who is wise or not tall is both wise and not happy and vice versa.
Everyone who is wise is both... | John is not brave. | contradiction | ((?[X]:((happy(X)&~humble(X))))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
((?[X]:(~generous(X)))=>((~patient(alice)&old(alice))))&
(![X]:((calm(X)|~happy(X))=>patient(X)))&
(![X]:((wise(X)|~tall(X))<=>(wise(X)&~happy(X))))&
(![X]:(wise(X)=>(happy(X)&generous(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X)))... | ~brave(john) | [
"p0",
"p3",
"p4",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4267701861768481267986821
% SZS output start Proof for 4267701861768481267986821
1. ? [X0] : (~humble(X0) & happy(X0)) <=> ? [X0] : (~strong(X0) <~> ~quiet(X0)) [input p0]
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~happy(X0) & wise(X0))) [input p3]
5. ! [X0] : (wise(X0) => (generous(X0) & ... | 0 |
Everyone who is not generous is happy and vice versa.
Everyone who is not quiet or happy is both generous and not happy and vice versa.
Everyone who is either not strong or funny is either not kind or kind and vice versa.
Everyone who is tall is either not tall or not happy.
Everyone who is old is rich or generous and ... | Lucy is quiet. | contradiction | (![X]:(~generous(X)<=>happy(X)))&
(![X]:((~quiet(X)|happy(X))<=>(generous(X)&~happy(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(~kind(X)<~>kind(X))))&
(![X]:(tall(X)=>(~tall(X)<~>~happy(X))))&
(![X]:(old(X)<=>(rich(X)|generous(X))))&
(![X]:(~patient(X)<=>(brave(X)<~>patient(X))))&
(![X]:((humble(X)|~humble(X))=>~happy(X))... | quiet(lucy) | [
"p0",
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3394616337769730838270635
% SZS output start Proof for 3394616337769730838270635
1. ! [X0] : (~generous(X0) <=> happy(X0)) [input p0]
2. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (~happy(X0) & generous(X0))) [input p1]
15. ! [X0] : (quiet(X0) => (~generous(X0) & ~patient(X0))) [input p14]
23... | 0 |
Everyone who is kind or not creative is either not wise or rich.
If someone is both brave and funny then lucy is both not generous and humble.
If someone is either not humble or creative then john is both not brave and not strong.
Everyone who is tall or kind is quiet or not rich.
If someone is old then someone is not ... | Lucy is generous. | contradiction | (![X]:((kind(X)|~creative(X))=>(~wise(X)<~>rich(X))))&
((?[X]:((brave(X)&funny(X))))=>((~generous(lucy)&humble(lucy))))&
((?[X]:((~humble(X)<~>creative(X))))=>((~brave(john)&~strong(john))))&
(![X]:((tall(X)|kind(X))=>(quiet(X)|~rich(X))))&
((?[X]:(old(X)))=>(?[X]:((~brave(X)|~generous(X)))))&
(((~brave(susan)&happy(su... | generous(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5819430593119757724344103
% SZS output start Proof for 5819430593119757724344103
10. ! [X0] : ((~wise(X0) | wise(X0)) <=> (~generous(X0) & curious(X0))) [input p9]
25. generous(lucy) [input hypothesis]
59. ! [X0] : (((~wise(X0) | wise(X0)) | (generous(X0) | ~curious(X0))) & ((~generous(X0... | 0 |
Everyone who is rich is not happy or not curious.
Everyone who is both brave and not old is either not kind or not generous.
If someone is either generous or not quiet then lucy is not calm and vice versa.
If john is calm then someone is not tall and vice versa.
If alice is both not happy and not patient then someone i... | Fred is happy. | entailment | (![X]:(rich(X)=>(~happy(X)|~curious(X))))&
(![X]:((brave(X)&~old(X))=>(~kind(X)<~>~generous(X))))&
((?[X]:((generous(X)<~>~quiet(X))))<=>(~calm(lucy)))&
((calm(john))<=>(?[X]:(~tall(X))))&
(((~happy(alice)&~patient(alice)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~calm(X)<~>patient(X))))&
((?[X]:(funny(X... | happy(fred) | [
"p3",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9076593422682610233276106
% SZS output start Proof for 9076593422682610233276106
4. calm(john) <=> ? [X0] : ~tall(X0) [input p3]
9. ? [X0] : ~tall(X0) => brave(john) [input p8]
13. (happy(fred) & ~brave(fred)) <=> ? [X0] : brave(X0) [input p12]
22. ~humble(john) & calm(john) [input p21]
2... | 0 |
Everyone who is either not generous or quiet is not funny and vice versa.
If someone is either happy or not rich then lucy is humble.
Everyone who is either old or not tall is not tall.
Everyone who is either not humble or not calm is not kind or not old and vice versa.
If someone is either not patient or not old then ... | Paul is not rich. | neutral | (![X]:((~generous(X)<~>quiet(X))<=>~funny(X)))&
((?[X]:((happy(X)<~>~rich(X))))=>(humble(lucy)))&
(![X]:((old(X)<~>~tall(X))=>~tall(X)))&
(![X]:((~humble(X)<~>~calm(X))<=>(~kind(X)|~old(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((~creative(X)&rich(X)))))&
(![X]:((~creative(X)<~>~funny(X))<=>~rich(X)))&
(![X]:((g... | ~rich(paul) | [] | null | 0 |
If someone is both humble and not rich then someone is both kind and rich and vice versa.
If someone is both funny and quiet then someone is either curious or rich.
Everyone who is either curious or not old is not happy or not generous.
If alice is either not funny or patient then john is not curious and vice versa.
Ev... | Alice is not rich. | contradiction | ((?[X]:((humble(X)&~rich(X))))<=>(?[X]:((kind(X)&rich(X)))))&
((?[X]:((funny(X)&quiet(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((curious(X)<~>~old(X))=>(~happy(X)|~generous(X))))&
(((~funny(alice)<~>patient(alice)))<=>(~curious(john)))&
(![X]:(~curious(X)<=>(rich(X)&kind(X))))&
(![X]:((~wise(X)|~old(X))=>(~old(X)... | ~rich(alice) | [
"p4",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2930471424290886357908083
% SZS output start Proof for 2930471424290886357908083
5. ! [X0] : (~curious(X0) <=> (kind(X0) & rich(X0))) [input p4]
6. ! [X0] : ((~old(X0) | ~wise(X0)) => (~kind(X0) & ~old(X0))) [input p5]
7. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (~kind(X0) <~> ~calm(X0))) [i... | 0 |
Everyone who is not creative or not calm is funny or not funny.
If someone is generous then alice is both old and quiet.
If fred is either creative or not brave then someone is either not happy or humble and vice versa.
If mary is not humble or generous then lucy is both not brave and rich and vice versa.
If someone is... | Susan is wise. | neutral | (![X]:((~creative(X)|~calm(X))=>(funny(X)|~funny(X))))&
((?[X]:(generous(X)))=>((old(alice)&quiet(alice))))&
(((creative(fred)<~>~brave(fred)))<=>(?[X]:((~happy(X)<~>humble(X)))))&
(((~humble(mary)|generous(mary)))<=>((~brave(lucy)&rich(lucy))))&
((?[X]:((generous(X)|~funny(X))))<=>((old(john)<~>~happy(john))))&
(![X]:... | wise(susan) | [] | null | 0 |
Everyone who is both not generous and not brave is not curious and vice versa.
If someone is not generous then someone is rich or not humble.
If someone is old or kind then susan is funny or generous and vice versa.
Everyone who is tall or rich is not humble or not old and vice versa.
If someone is creative or wise the... | Paul is generous. | contradiction | (![X]:((~generous(X)&~brave(X))<=>~curious(X)))&
((?[X]:(~generous(X)))=>(?[X]:((rich(X)|~humble(X)))))&
((?[X]:((old(X)|kind(X))))<=>((funny(susan)|generous(susan))))&
(![X]:((tall(X)|rich(X))<=>(~humble(X)|~old(X))))&
((?[X]:((creative(X)|wise(X))))<=>(tall(paul)))&
((?[X]:((generous(X)|patient(X))))=>(?[X]:((~quiet(... | generous(paul) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4650933715780528273195239
% SZS output start Proof for 4650933715780528273195239
8. ! [X0] : (~kind(X0) <=> (generous(X0) | tall(X0))) [input p7]
16. ! [X0] : ((~kind(X0) | ~old(X0)) => ~generous(X0)) [input p15]
24. generous(paul) [input hypothesis]
42. ! [X0] : (~generous(X0) | (kind(X0... | 0 |
Everyone who is both not brave and not calm is strong.
If alice is both not quiet and happy then mary is both happy and brave and vice versa.
If someone is not rich then someone is both not wise and quiet.
If someone is both strong and curious then lucy is old and vice versa.
If john is rich then mary is both not rich ... | Alice is generous. | neutral | (![X]:((~brave(X)&~calm(X))=>strong(X)))&
(((~quiet(alice)&happy(alice)))<=>((happy(mary)&brave(mary))))&
((?[X]:(~rich(X)))=>(?[X]:((~wise(X)&quiet(X)))))&
((?[X]:((strong(X)&curious(X))))<=>(old(lucy)))&
((rich(john))<=>((~rich(mary)&~creative(mary))))&
(((~generous(alice)|kind(alice)))<=>(?[X]:((funny(X)|kind(X)))))... | generous(alice) | [] | null | 0 |
If fred is either calm or humble then someone is not funny or brave and vice versa. If susan is both tall and not quiet then someone is not rich or not generous and vice versa. If lucy is both wise and tall then someone is funny or not strong and vice versa. Everyone who is not tall or not humble is both not strong and... | Mary is happy. | neutral | (((calm(fred)<~>humble(fred)))<=>(?[X]:((~funny(X)|brave(X)))))&
(((tall(susan)&~quiet(susan)))<=>(?[X]:((~rich(X)|~generous(X)))))&
(((wise(lucy)&tall(lucy)))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((~tall(X)|~humble(X))<=>(~strong(X)&humble(X))))&
((kind(susan))=>((~brave(john)&~calm(john))))&
(![X]:(~old(X)<=>(gen... | happy(mary) | [] | null | 0 |
Everyone who is either not humble or old is happy.
If lucy is both not strong and not funny then someone is old.
Everyone who is both happy and not happy is either curious or happy.
Everyone who is either generous or not tall is either wise or old and vice versa.
If john is rich or tall then lucy is strong or rich and ... | John is not calm. | contradiction | (![X]:((~humble(X)<~>old(X))=>happy(X)))&
(((~strong(lucy)&~funny(lucy)))=>(?[X]:(old(X))))&
(![X]:((happy(X)&~happy(X))=>(curious(X)<~>happy(X))))&
(![X]:((generous(X)<~>~tall(X))<=>(wise(X)<~>old(X))))&
(((rich(john)|tall(john)))<=>((strong(lucy)|rich(lucy))))&
((?[X]:((~happy(X)|humble(X))))=>(?[X]:(generous(X))))&
... | ~calm(john) | [
"p7",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2606705090534420042833743
% SZS output start Proof for 2606705090534420042833743
8. ! [X0] : ((~calm(X0) | strong(X0)) => (quiet(X0) & ~creative(X0))) [input p7]
12. ! [X0] : ((patient(X0) & rich(X0)) <=> patient(X0)) [input p11]
14. ? [X0] : ~patient(X0) <=> ~quiet(john) [input p13]
23. ... | 0 |
Everyone who is either curious or not curious is not rich or not calm.
Everyone who is either not generous or tall is tall or not funny.
Everyone who is not kind is both calm and generous and vice versa.
If someone is both not curious and not generous then someone is quiet or brave and vice versa.
If someone is either ... | John is not generous. | contradiction | (![X]:((curious(X)<~>~curious(X))=>(~rich(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))=>(tall(X)|~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)&generous(X))))&
((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:((quiet(X)|brave(X)))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
... | ~generous(john) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2642915975254812306702423
% SZS output start Proof for 2642915975254812306702423
3. ! [X0] : (~kind(X0) <=> (generous(X0) & calm(X0))) [input p2]
7. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~kind(X0) & ~patient(X0))) [input p6]
22. ~generous(john) [input hypothesis]
36. ! [X0] : ((~ki... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either not funny or not rich is funny or rich.
If alice is both humble and old then someone is strong.
If lucy is not kind then fred is generous and vice versa.
If fred is b... | Alice is patient. | neutral | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(funny(X)|rich(X))))&
(((humble(alice)&old(alice)))=>(?[X]:(strong(X))))&
((~kind(lucy))<=>(generous(fred)))&
(((strong(fred)&happy(fred)))=>((~wise(lucy)<~>brave(lucy))))&
(![X]:((wise... | patient(alice) | [] | null | 0 |
Everyone who is both rich and curious is both not calm and happy and vice versa. Everyone who is both not old and not rich is either strong or not generous. If someone is not kind or not creative then someone is either not creative or not funny and vice versa. Everyone who is either not patient or not generous is funny... | Fred is curious. | contradiction | (![X]:((rich(X)&curious(X))<=>(~calm(X)&happy(X))))&
(![X]:((~old(X)&~rich(X))=>(strong(X)<~>~generous(X))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((~creative(X)<~>~funny(X)))))&
(![X]:((~patient(X)<~>~generous(X))=>(funny(X)|~tall(X))))&
(![X]:(~humble(X)<=>(brave(X)|~old(X))))&
(![X]:((~humble(X)&kind(X))<=>~hap... | curious(fred) | [
"p0",
"p5",
"p9",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7387647418798666675240995
% SZS output start Proof for 7387647418798666675240995
1. ! [X0] : ((curious(X0) & rich(X0)) <=> (happy(X0) & ~calm(X0))) [input p0]
6. ! [X0] : ((kind(X0) & ~humble(X0)) <=> ~happy(X0)) [input p5]
10. ! [X0] : (~calm(X0) => (~quiet(X0) & ~kind(X0))) [input p9]
1... | 0 |
If susan is both calm and not humble then lucy is both not curious and not old. If john is either curious or not patient then someone is both not rich and tall and vice versa. If someone is not curious then susan is both not rich and brave and vice versa. Everyone who is not wise or not curious is not generous and vice... | Mary is calm. | neutral | (((calm(susan)&~humble(susan)))=>((~curious(lucy)&~old(lucy))))&
(((curious(john)<~>~patient(john)))<=>(?[X]:((~rich(X)&tall(X)))))&
((?[X]:(~curious(X)))<=>((~rich(susan)&brave(susan))))&
(![X]:((~wise(X)|~curious(X))<=>~generous(X)))&
(((kind(paul)<~>~patient(paul)))<=>((~brave(lucy)|brave(lucy))))&
(![X]:((rich(X)|q... | calm(mary) | [] | null | 0 |
Everyone who is both not patient and wise is either creative or rich and vice versa.
If john is not funny or brave then someone is either happy or not happy.
Everyone who is both creative and not quiet is both patient and quiet and vice versa.
Everyone who is not strong or calm is both rich and not brave and vice versa... | Lucy is not rich. | contradiction | (![X]:((~patient(X)&wise(X))<=>(creative(X)<~>rich(X))))&
(((~funny(john)|brave(john)))=>(?[X]:((happy(X)<~>~happy(X)))))&
(![X]:((creative(X)&~quiet(X))<=>(patient(X)&quiet(X))))&
(![X]:((~strong(X)|calm(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~rich(X)|~humble(X))))<=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:((~patient(... | ~rich(lucy) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5017896658317477974442570
% SZS output start Proof for 5017896658317477974442570
4. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~brave(X0) & rich(X0))) [input p3]
12. ! [X0] : ((generous(X0) & ~humble(X0)) <=> (humble(X0) | happy(X0))) [input p11]
16. ! [X0] : (humble(X0) <=> (~calm(X0) | kin... | 0 |
Everyone who is both not curious and kind is wise. Everyone who is both not creative and patient is both not generous and not creative and vice versa. Everyone who is not calm is both not creative and wise and vice versa. If paul is both not creative and generous then someone is brave and vice versa. If alice is both n... | Fred is not rich. | entailment | (![X]:((~curious(X)&kind(X))=>wise(X)))&
(![X]:((~creative(X)&patient(X))<=>(~generous(X)&~creative(X))))&
(![X]:(~calm(X)<=>(~creative(X)&wise(X))))&
(((~creative(paul)&generous(paul)))<=>(?[X]:(brave(X))))&
(((~strong(alice)&strong(alice)))<=>((creative(alice)|~funny(alice))))&
(((creative(fred)|~rich(fred)))<=>(?[X]... | ~rich(fred) | [
"p2",
"p4",
"p5",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9078845195065968840877882
% SZS output start Proof for 9078845195065968840877882
3. ! [X0] : (~calm(X0) <=> (wise(X0) & ~creative(X0))) [input p2]
5. (strong(alice) & ~strong(alice)) <=> (~funny(alice) | creative(alice)) [input p4]
6. (~rich(fred) | creative(fred)) <=> ? [X0] : (~patient(... | 0 |
If john is either generous or wise then susan is not curious or not happy.
Everyone who is quiet or curious is not old or old and vice versa.
Everyone who is kind or funny is either not curious or rich and vice versa.
If lucy is funny or not brave then someone is either not kind or strong.
If lucy is either not wise or... | Fred is not kind. | neutral | (((generous(john)<~>wise(john)))=>((~curious(susan)|~happy(susan))))&
(![X]:((quiet(X)|curious(X))<=>(~old(X)|old(X))))&
(![X]:((kind(X)|funny(X))<=>(~curious(X)<~>rich(X))))&
(((funny(lucy)|~brave(lucy)))=>(?[X]:((~kind(X)<~>strong(X)))))&
(((~wise(lucy)<~>creative(lucy)))=>((~funny(paul)|brave(paul))))&
((kind(fred))... | ~kind(fred) | [] | null | 0 |
Everyone who is either not quiet or not kind is patient or old and vice versa. If someone is both not rich and not kind then susan is both patient and not calm. Everyone who is not happy is either kind or not funny and vice versa. If someone is either not brave or not old then someone is both happy and kind and vice ve... | John is not curious. | neutral | (![X]:((~quiet(X)<~>~kind(X))<=>(patient(X)|old(X))))&
((?[X]:((~rich(X)&~kind(X))))=>((patient(susan)&~calm(susan))))&
(![X]:(~happy(X)<=>(kind(X)<~>~funny(X))))&
((?[X]:((~brave(X)<~>~old(X))))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((creative(X)<~>~humble(X))<=>patient(X)))&
(![X]:((~happy(X)<~>~old(X))<=>tall(X)))&
... | ~curious(john) | [] | null | 0 |
If someone is patient then someone is either happy or not tall and vice versa.
If someone is not humble then mary is either strong or patient and vice versa.
Everyone who is both not brave and not old is creative.
If someone is not humble or funny then someone is both tall and not wise and vice versa.
If someone is bot... | Paul is old. | entailment | ((?[X]:(patient(X)))<=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:(~humble(X)))<=>((strong(mary)<~>patient(mary))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X)&~wise(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((quiet(X)|humble(X))<=>(~o... | old(paul) | [
"p3",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2515531400072402641829574
% SZS output start Proof for 2515531400072402641829574
4. ? [X0] : (funny(X0) | ~humble(X0)) <=> ? [X0] : (~wise(X0) & tall(X0)) [input p3]
6. ! [X0] : ((humble(X0) | quiet(X0)) <=> (~old(X0) <~> kind(X0))) [input p5]
8. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~qu... | 0 |
Everyone who is either not calm or creative is both not generous and funny.
Everyone who is rich is both not tall and not calm.
If someone is not strong or strong then someone is both happy and not tall and vice versa.
If someone is generous or not humble then john is both not creative and not quiet and vice versa.
If ... | Mary is not funny. | contradiction | (![X]:((~calm(X)<~>creative(X))=>(~generous(X)&funny(X))))&
(![X]:(rich(X)=>(~tall(X)&~calm(X))))&
((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))&
(((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy))))&
(![X]:((~patient... | ~funny(mary) | [
"p0",
"p1",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4764882193581459117382969
% SZS output start Proof for 4764882193581459117382969
1. ! [X0] : ((~calm(X0) <~> creative(X0)) => (funny(X0) & ~generous(X0))) [input p0]
2. ! [X0] : (rich(X0) => (~calm(X0) & ~tall(X0))) [input p1]
6. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (quiet(X0) | curiou... | 0 |
If paul is not generous then lucy is not happy or rich.
Everyone who is not quiet or rich is patient.
Everyone who is both not old and happy is both not wise and patient and vice versa.
If john is either not happy or creative then someone is not brave or not tall.
Everyone who is either not funny or not creative is eit... | Lucy is not kind. | contradiction | ((~generous(paul))=>((~happy(lucy)|rich(lucy))))&
(![X]:((~quiet(X)|rich(X))=>patient(X)))&
(![X]:((~old(X)&happy(X))<=>(~wise(X)&patient(X))))&
(((~happy(john)<~>creative(john)))=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((rich(X)|wise(X))))<=>(?[X]:((~brave(X... | ~kind(lucy) | [
"p1",
"p7",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8176236376210139839740210
% SZS output start Proof for 8176236376210139839740210
2. ! [X0] : ((rich(X0) | ~quiet(X0)) => patient(X0)) [input p1]
8. (kind(mary) & humble(mary)) <=> ? [X0] : quiet(X0) [input p7]
10. ! [X0] : ((rich(X0) | strong(X0)) => kind(X0)) [input p9]
12. ! [X0] : ((ki... | 0 |
Everyone who is either not curious or not generous is strong and vice versa. Everyone who is creative is funny or not curious. Everyone who is either strong or not strong is funny and vice versa. Everyone who is not generous or tall is strong. If someone is both rich and calm then someone is either funny or generous an... | Mary is not patient. | neutral | (![X]:((~curious(X)<~>~generous(X))<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)|~curious(X))))&
(![X]:((strong(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~generous(X)|tall(X))=>strong(X)))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((old(X)<~>curious(X))))=>((wise(mary)<~>rich(mary))))&
(![X... | ~patient(mary) | [] | null | 0 |
If mary is both old and not patient then john is either brave or not generous and vice versa.
Everyone who is either creative or patient is old or not funny and vice versa.
Everyone who is calm is both patient and not strong and vice versa.
Everyone who is strong is either happy or not calm.
Everyone who is both not pa... | John is not humble. | neutral | (((old(mary)&~patient(mary)))<=>((brave(john)<~>~generous(john))))&
(![X]:((creative(X)<~>patient(X))<=>(old(X)|~funny(X))))&
(![X]:(calm(X)<=>(patient(X)&~strong(X))))&
(![X]:(strong(X)=>(happy(X)<~>~calm(X))))&
(![X]:((~patient(X)&~happy(X))=>(strong(X)|~generous(X))))&
(((~humble(john)&wise(john)))=>(?[X]:((~strong(... | ~humble(john) | [] | null | 0 |
Everyone who is both quiet and not happy is rich or not kind and vice versa. If fred is either not curious or rich then someone is both not old and not funny and vice versa. Everyone who is both happy and not tall is both brave and not wise. Everyone who is not old is creative or not funny and vice versa. If someone is... | Mary is tall. | entailment | (![X]:((quiet(X)&~happy(X))<=>(rich(X)|~kind(X))))&
(((~curious(fred)<~>rich(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((happy(X)&~tall(X))=>(brave(X)&~wise(X))))&
(![X]:(~old(X)<=>(creative(X)|~funny(X))))&
((?[X]:(~quiet(X)))=>((~strong(john)<~>~old(john))))&
(![X]:((~quiet(X)<~>~funny(X))=>~strong(X)))&
(![X]:(... | tall(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6527826999239613545146739
% SZS output start Proof for 6527826999239613545146739
1. ! [X0] : ((~happy(X0) & quiet(X0)) <=> (~kind(X0) | rich(X0))) [input p0]
2. (~curious(fred) <~> rich(fred)) <=> ? [X0] : (~funny(X0) & ~old(X0)) [input p1]
3. ! [X0] : ((~tall(X0) & happy(X0)) => (~wise(X... | 0 |
Everyone who is not curious is both strong and kind and vice versa.
If susan is not kind or not funny then lucy is not wise or creative.
If someone is strong then someone is either wise or not generous and vice versa.
Everyone who is either not humble or not strong is either not wise or not quiet.
Everyone who is eithe... | Paul is not humble. | neutral | (![X]:(~curious(X)<=>(strong(X)&kind(X))))&
(((~kind(susan)|~funny(susan)))=>((~wise(lucy)|creative(lucy))))&
((?[X]:(strong(X)))<=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((~humble(X)<~>~strong(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((strong(X)<~>wise(X))=>~wise(X)))&
(![X]:((~kind(X)|~curious(X))=>(~patient(X)&~old(X... | ~humble(paul) | [] | null | 0 |
If someone is both brave and happy then lucy is not kind or not happy and vice versa.
Everyone who is both happy and rich is either happy or generous.
If alice is creative or not quiet then lucy is not quiet.
If fred is both not old and not rich then someone is brave and vice versa.
Everyone who is both not generous an... | Lucy is brave. | contradiction | ((?[X]:((brave(X)&happy(X))))<=>((~kind(lucy)|~happy(lucy))))&
(![X]:((happy(X)&rich(X))=>(happy(X)<~>generous(X))))&
(((creative(alice)|~quiet(alice)))=>(~quiet(lucy)))&
(((~old(fred)&~rich(fred)))<=>(?[X]:(brave(X))))&
(![X]:((~generous(X)&wise(X))<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)|kind(X))))=>(~r... | brave(lucy) | [
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8685259265192496302955368
% SZS output start Proof for 8685259265192496302955368
9. ! [X0] : ((funny(X0) & ~brave(X0)) <=> ~creative(X0)) [input p8]
11. ! [X0] : (brave(X0) <=> (~tall(X0) <~> ~creative(X0))) [input p10]
14. ! [X0] : ((~brave(X0) & ~old(X0)) <=> ~tall(X0)) [input p13]
25. ... | 0 |
Everyone who is not old or not patient is brave or not patient and vice versa.
Everyone who is either strong or not generous is both happy and not patient and vice versa.
Everyone who is brave or not happy is both kind and not calm.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not cal... | Alice is not generous. | neutral | (![X]:((~old(X)|~patient(X))<=>(brave(X)|~patient(X))))&
(![X]:((strong(X)<~>~generous(X))<=>(happy(X)&~patient(X))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~... | ~generous(alice) | [] | null | 0 |
Everyone who is not curious is either calm or not generous.
Everyone who is humble or strong is both not creative and not funny and vice versa.
Everyone who is wise or not generous is both not rich and not patient.
If john is brave or not funny then someone is either rich or not quiet and vice versa.
Everyone who is ei... | Susan is quiet. | contradiction | (![X]:(~curious(X)=>(calm(X)<~>~generous(X))))&
(![X]:((humble(X)|strong(X))<=>(~creative(X)&~funny(X))))&
(![X]:((wise(X)|~generous(X))=>(~rich(X)&~patient(X))))&
(((brave(john)|~funny(john)))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((wise(X)<~>~wise(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((~old(X)&old(X))<=>~kind(X)))... | quiet(susan) | [
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5875238216922229318477566
% SZS output start Proof for 5875238216922229318477566
6. ! [X0] : ((old(X0) & ~old(X0)) <=> ~kind(X0)) [input p5]
12. ! [X0] : (curious(X0) <=> (~creative(X0) <~> curious(X0))) [input p11]
15. ! [X0] : ((creative(X0) <~> kind(X0)) <=> (quiet(X0) & creative(X0)))... | 0 |
Everyone who is not curious or not happy is both wise and funny and vice versa.
Everyone who is both old and not rich is either humble or calm.
Everyone who is either not old or not rich is either calm or not humble and vice versa.
Everyone who is not rich or not strong is both old and happy.
Everyone who is old or hap... | Paul is curious. | entailment | (![X]:((~curious(X)|~happy(X))<=>(wise(X)&funny(X))))&
(![X]:((old(X)&~rich(X))=>(humble(X)<~>calm(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)<~>~humble(X))))&
(![X]:((~rich(X)|~strong(X))=>(old(X)&happy(X))))&
(![X]:((old(X)|happy(X))<=>~kind(X)))&
((?[X]:(~happy(X)))=>((quiet(susan)|~strong(susan))))&
(((happy(mary... | curious(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7956893292938187301836816
% SZS output start Proof for 7956893292938187301836816
10. ? [X0] : ~curious(X0) <=> (~strong(paul) & strong(paul)) [input p9]
22. ~curious(paul) [input hypothesis]
45. (? [X0] : ~curious(X0) | (strong(paul) | ~strong(paul))) & ((~strong(paul) & strong(paul)) | !... | 0 |
If lucy is either not happy or old then alice is not strong and vice versa.
Everyone who is old or tall is funny or not curious.
If mary is not brave or not creative then someone is not patient or funny.
If lucy is strong or creative then alice is either not happy or brave.
Everyone who is curious or calm is both quiet... | Lucy is not calm. | entailment | (((~happy(lucy)<~>old(lucy)))<=>(~strong(alice)))&
(![X]:((old(X)|tall(X))=>(funny(X)|~curious(X))))&
(((~brave(mary)|~creative(mary)))=>(?[X]:((~patient(X)|funny(X)))))&
(((strong(lucy)|creative(lucy)))=>((~happy(alice)<~>brave(alice))))&
(![X]:((curious(X)|calm(X))=>(quiet(X)&brave(X))))&
((wise(lucy))<=>(?[X]:((rich... | ~calm(lucy) | [
"p4",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2666648358294990141556803
% SZS output start Proof for 2666648358294990141556803
5. ! [X0] : ((calm(X0) | curious(X0)) => (brave(X0) & quiet(X0))) [input p4]
13. ? [X0] : (~generous(X0) & quiet(X0)) => ? [X0] : ~rich(X0) [input p12]
14. ~happy(paul) <=> ? [X0] : quiet(X0) [input p13]
15. ... | 0 |
Everyone who is calm or humble is not wise or not funny and vice versa.
If lucy is either curious or wise then alice is rich and vice versa.
Everyone who is both calm and quiet is both not brave and patient and vice versa.
Everyone who is quiet is quiet or generous.
Everyone who is not strong or humble is either tall o... | Mary is old. | neutral | (![X]:((calm(X)|humble(X))<=>(~wise(X)|~funny(X))))&
(((curious(lucy)<~>wise(lucy)))<=>(rich(alice)))&
(![X]:((calm(X)&quiet(X))<=>(~brave(X)&patient(X))))&
(![X]:(quiet(X)=>(quiet(X)|generous(X))))&
(![X]:((~strong(X)|humble(X))<=>(tall(X)<~>~kind(X))))&
(![X]:(tall(X)=>(generous(X)|humble(X))))&
(((calm(mary)<~>~old(... | old(mary) | [] | null | 0 |
If someone is both not calm and rich then fred is not calm or old and vice versa.
Everyone who is humble is not quiet.
Everyone who is not funny is happy and vice versa.
Everyone who is both wise and not quiet is not curious.
Everyone who is not kind or not funny is both rich and calm.
If lucy is not wise or not quiet ... | Paul is creative. | contradiction | ((?[X]:((~calm(X)&rich(X))))<=>((~calm(fred)|old(fred))))&
(![X]:(humble(X)=>~quiet(X)))&
(![X]:(~funny(X)<=>happy(X)))&
(![X]:((wise(X)&~quiet(X))=>~curious(X)))&
(![X]:((~kind(X)|~funny(X))=>(rich(X)&calm(X))))&
(((~wise(lucy)|~quiet(lucy)))=>((creative(mary)&~patient(mary))))&
(((~generous(paul)&~wise(paul)))<=>(?[X... | creative(paul) | [
"p6",
"p7",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9093505150131954599158996
% SZS output start Proof for 9093505150131954599158996
7. (~wise(paul) & ~generous(paul)) <=> ? [X0] : (~funny(X0) <~> patient(X0)) [input p6]
8. ! [X0] : (~calm(X0) => wise(X0)) [input p7]
10. ? [X0] : ~funny(X0) <=> ? [X0] : (funny(X0) <~> ~patient(X0)) [input ... | 0 |
If mary is patient or not wise then fred is either not strong or patient.
Everyone who is not humble is not generous or quiet.
Everyone who is not wise or not quiet is both not brave and wise and vice versa.
Everyone who is kind or quiet is not quiet or tall.
Everyone who is quiet is both not creative and not calm and ... | Susan is wise. | entailment | (((patient(mary)|~wise(mary)))=>((~strong(fred)<~>patient(fred))))&
(![X]:(~humble(X)=>(~generous(X)|quiet(X))))&
(![X]:((~wise(X)|~quiet(X))<=>(~brave(X)&wise(X))))&
(![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))&
(![X]:(quiet(X)<=>(~creative(X)&~calm(X))))&
((~kind(alice))<=>((~kind(alice)&calm(alice))))&
(![X]:((~... | wise(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2754924521915826862988172
% SZS output start Proof for 2754924521915826862988172
3. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (wise(X0) & ~brave(X0))) [input p2]
23. ~wise(susan) [input hypothesis]
37. ! [X0] : (((~quiet(X0) | ~wise(X0)) | (~wise(X0) | brave(X0))) & ((wise(X0) & ~brave(X0)) ... | 0 |
Everyone who is not rich or not old is old or wise and vice versa.
Everyone who is generous or not creative is either not brave or wise.
If mary is not tall or not creative then paul is wise or not funny and vice versa.
Everyone who is either curious or humble is both rich and not rich.
Everyone who is both wise and no... | Mary is curious. | contradiction | (![X]:((~rich(X)|~old(X))<=>(old(X)|wise(X))))&
(![X]:((generous(X)|~creative(X))=>(~brave(X)<~>wise(X))))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:(~curious(X)))=>(?[X]:(kind(X)... | curious(mary) | [
"p0",
"p3",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6684226238496241564767521
% SZS output start Proof for 6684226238496241564767521
1. ! [X0] : ((~old(X0) | ~rich(X0)) <=> (wise(X0) | old(X0))) [input p0]
4. ! [X0] : ((curious(X0) <~> humble(X0)) => (~rich(X0) & rich(X0))) [input p3]
9. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (creative... | 0 |
Everyone who is both not kind and not generous is either not kind or not quiet.
Everyone who is not humble is not funny.
Everyone who is quiet or funny is not brave.
If someone is quiet or not calm then someone is either not old or not tall.
Everyone who is not patient or wise is curious or not quiet.
If someone is gen... | Alice is not calm. | neutral | (![X]:((~kind(X)&~generous(X))=>(~kind(X)<~>~quiet(X))))&
(![X]:(~humble(X)=>~funny(X)))&
(![X]:((quiet(X)|funny(X))=>~brave(X)))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:((~old(X)<~>~tall(X)))))&
(![X]:((~patient(X)|wise(X))=>(curious(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>((old(mary)&~humble(mary))))&
(((~quiet(lucy)&... | ~calm(alice) | [] | null | 0 |
Everyone who is either happy or not wise is either tall or rich. If someone is rich then someone is both not quiet and not brave. Everyone who is strong is both not rich and not calm. If alice is either curious or happy then someone is not quiet. Everyone who is both not brave and rich is both patient and rich and vice... | Alice is not kind. | neutral | (![X]:((happy(X)<~>~wise(X))=>(tall(X)<~>rich(X))))&
((?[X]:(rich(X)))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:(strong(X)=>(~rich(X)&~calm(X))))&
(((curious(alice)<~>happy(alice)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)&rich(X))<=>(patient(X)&rich(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(tall(X)&~rich(X))))&
(![X]:((~ge... | ~kind(alice) | [] | null | 0 |
Everyone who is not rich or brave is funny. Everyone who is not curious is patient and vice versa. If someone is funny then alice is both curious and rich and vice versa. Everyone who is both generous and brave is patient or kind and vice versa. If someone is both not quiet and not curious then alice is both not genero... | Lucy is not humble. | entailment | (![X]:((~rich(X)|brave(X))=>funny(X)))&
(![X]:(~curious(X)<=>patient(X)))&
((?[X]:(funny(X)))<=>((curious(alice)&rich(alice))))&
(![X]:((generous(X)&brave(X))<=>(patient(X)|kind(X))))&
((?[X]:((~quiet(X)&~curious(X))))<=>((~generous(alice)&~curious(alice))))&
((?[X]:((~creative(X)<~>generous(X))))=>(?[X]:((curious(X)|~... | ~humble(lucy) | [
"p3",
"p6",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 725127064803496807364040
% SZS output start Proof for 725127064803496807364040
4. ! [X0] : ((brave(X0) & generous(X0)) <=> (kind(X0) | patient(X0))) [input p3]
7. ? [X0] : (old(X0) | ~humble(X0)) <=> (~humble(lucy) & calm(lucy)) [input p6]
8. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> ~old(X... | 0 |
If someone is not calm then lucy is both tall and old. If paul is kind or old then someone is happy or generous. Everyone who is not happy or humble is not wise or funny and vice versa. Everyone who is either not old or kind is either not calm or generous and vice versa. If fred is both not quiet and rich then mary is ... | Alice is not calm. | entailment | ((?[X]:(~calm(X)))=>((tall(lucy)&old(lucy))))&
(((kind(paul)|old(paul)))=>(?[X]:((happy(X)|generous(X)))))&
(![X]:((~happy(X)|humble(X))<=>(~wise(X)|funny(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~calm(X)<~>generous(X))))&
(((~quiet(fred)&rich(fred)))=>((tall(mary)&creative(mary))))&
(![X]:(creative(X)<=>calm(X)))&
(![X]:(... | ~calm(alice) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 60503695444511670246751
% SZS output start Proof for 60503695444511670246751
6. ! [X0] : (creative(X0) <=> calm(X0)) [input p5]
23. kind(alice) & ~creative(alice) [input p22]
25. calm(alice) [input hypothesis]
46. ! [X0] : ((creative(X0) | ~calm(X0)) & (calm(X0) | ~creative(X0))) [nnf tra... | 0 |
If someone is funny or not creative then lucy is not brave or rich and vice versa.
Everyone who is either curious or not funny is either not curious or old.
If fred is not happy or brave then susan is generous and vice versa.
Everyone who is either not curious or not generous is either not curious or humble and vice ve... | Susan is patient. | neutral | ((?[X]:((funny(X)|~creative(X))))<=>((~brave(lucy)|rich(lucy))))&
(![X]:((curious(X)<~>~funny(X))=>(~curious(X)<~>old(X))))&
(((~happy(fred)|brave(fred)))<=>(generous(susan)))&
(![X]:((~curious(X)<~>~generous(X))<=>(~curious(X)<~>humble(X))))&
(![X]:((quiet(X)&old(X))=>(patient(X)<~>creative(X))))&
(((~humble(alice)|~q... | patient(susan) | [] | null | 0 |
Everyone who is brave is not happy or generous.
If paul is either generous or humble then someone is both patient and not curious and vice versa.
If alice is both not strong and happy then paul is not rich or strong and vice versa.
Everyone who is either not happy or not wise is either not old or calm.
If lucy is happy... | Alice is patient. | entailment | (![X]:(brave(X)=>(~happy(X)|generous(X))))&
(((generous(paul)<~>humble(paul)))<=>(?[X]:((patient(X)&~curious(X)))))&
(((~strong(alice)&happy(alice)))<=>((~rich(paul)|strong(paul))))&
(![X]:((~happy(X)<~>~wise(X))=>(~old(X)<~>calm(X))))&
(((happy(lucy)|~quiet(lucy)))=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~tall(X... | patient(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4085426355484537929300305
% SZS output start Proof for 4085426355484537929300305
24. patient(alice) [input p23]
25. ~patient(alice) [input hypothesis]
144. patient(alice) [cnf transformation 24]
145. ~patient(alice) [cnf transformation 25]
217. 15 <=> patient(alice) [avatar definition]
35... | 0 |
If someone is either brave or not funny then someone is strong or curious.
Everyone who is either quiet or not rich is both not wise and not rich and vice versa.
Everyone who is both not tall and not humble is funny or rich and vice versa.
Everyone who is not calm or not quiet is both rich and not old and vice versa.
E... | Lucy is calm. | entailment | ((?[X]:((brave(X)<~>~funny(X))))=>(?[X]:((strong(X)|curious(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~wise(X)&~rich(X))))&
(![X]:((~tall(X)&~humble(X))<=>(funny(X)|rich(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(rich(X)&~old(X))))&
(![X]:((old(X)<~>~funny(X))=>(humble(X)|~tall(X))))&
(![X]:((~tall(X)|~quiet(X))=>(generous(X)... | calm(lucy) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4210823943286867034576041
% SZS output start Proof for 4210823943286867034576041
3. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (rich(X0) | funny(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~old(X0) & rich(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~tall(X0)) => (calm(X0) & g... | 0 |
Everyone who is either not strong or not rich is both not humble and patient and vice versa. If someone is brave then someone is not funny or not tall and vice versa. Everyone who is not tall or quiet is both creative and happy and vice versa. If paul is both not quiet and not generous then someone is either not humble... | Mary is not strong. | neutral | (![X]:((~strong(X)<~>~rich(X))<=>(~humble(X)&patient(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:((~tall(X)|quiet(X))<=>(creative(X)&happy(X))))&
(((~quiet(paul)&~generous(paul)))<=>(?[X]:((~humble(X)<~>tall(X)))))&
((?[X]:((strong(X)|~tall(X))))<=>((quiet(susan)<~>~brave(susan))))&
((?[X]:((~quie... | ~strong(mary) | [] | null | 0 |
If john is funny or quiet then someone is not strong or not quiet.
If someone is patient then mary is not quiet or not kind.
Everyone who is curious is either curious or not humble.
If someone is both not tall and not kind then someone is both strong and generous.
Everyone who is not brave or not curious is tall or not... | Susan is not humble. | contradiction | (((funny(john)|quiet(john)))=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:(patient(X)))=>((~quiet(mary)|~kind(mary))))&
(![X]:(curious(X)=>(curious(X)<~>~humble(X))))&
((?[X]:((~tall(X)&~kind(X))))=>(?[X]:((strong(X)&generous(X)))))&
(![X]:((~brave(X)|~curious(X))=>(tall(X)|~old(X))))&
(![X]:((~old(X)<~>quiet(X))<=>(quiet... | ~humble(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6867045797011262539680098
% SZS output start Proof for 6867045797011262539680098
15. ! [X0] : (~humble(X0) <=> (humble(X0) & ~patient(X0))) [input p14]
23. ~humble(susan) [input hypothesis]
62. ! [X0] : ((~humble(X0) | (~humble(X0) | patient(X0))) & ((humble(X0) & ~patient(X0)) | humble(X... | 0 |
Everyone who is both not patient and not generous is quiet and vice versa.
If mary is not patient or kind then someone is either not tall or not brave and vice versa.
Everyone who is either not creative or not strong is not funny or not quiet.
Everyone who is either generous or not generous is either not old or creativ... | Susan is not rich. | neutral | (![X]:((~patient(X)&~generous(X))<=>quiet(X)))&
(((~patient(mary)|kind(mary)))<=>(?[X]:((~tall(X)<~>~brave(X)))))&
(![X]:((~creative(X)<~>~strong(X))=>(~funny(X)|~quiet(X))))&
(![X]:((generous(X)<~>~generous(X))=>(~old(X)<~>creative(X))))&
(((generous(fred)&~quiet(fred)))=>((~creative(lucy)|tall(lucy))))&
((~humble(mar... | ~rich(susan) | [] | null | 0 |
Everyone who is either not brave or not generous is both not brave and not strong and vice versa.
Everyone who is strong is either not brave or not rich and vice versa.
Everyone who is tall is either strong or not generous.
Everyone who is either not brave or wise is not old or not brave and vice versa.
Everyone who is... | Lucy is funny. | entailment | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~strong(X))))&
(![X]:(strong(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:(tall(X)=>(strong(X)<~>~generous(X))))&
(![X]:((~brave(X)<~>wise(X))<=>(~old(X)|~brave(X))))&
(![X]:((~happy(X)&funny(X))=>(~humble(X)<~>patient(X))))&
((old(alice))=>(?[X]:(~kind(X))))&
(![X]:((quiet(X)<~>~... | funny(lucy) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 271209168795635181766688
% SZS output start Proof for 271209168795635181766688
10. ! [X0] : ((~wise(X0) | ~funny(X0)) => (~wise(X0) & strong(X0))) [input p9]
12. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p11]
22. ~funny(lucy) [input hypothesis]
30. ! [X0] : ((~w... | 0 |
Everyone who is either not curious or curious is either not quiet or kind. Everyone who is strong is either happy or not humble. Everyone who is both not generous and not curious is tall and vice versa. If someone is not old then john is both humble and not kind and vice versa. If alice is not old or brave then lucy is... | Susan is not brave. | neutral | (![X]:((~curious(X)<~>curious(X))=>(~quiet(X)<~>kind(X))))&
(![X]:(strong(X)=>(happy(X)<~>~humble(X))))&
(![X]:((~generous(X)&~curious(X))<=>tall(X)))&
((?[X]:(~old(X)))<=>((humble(john)&~kind(john))))&
(((~old(alice)|brave(alice)))=>((calm(lucy)<~>wise(lucy))))&
(![X]:((patient(X)<~>~humble(X))<=>~patient(X)))&
(![X]:... | ~brave(susan) | [] | null | 0 |
If mary is both not curious and not old then someone is both calm and not old and vice versa. Everyone who is quiet or wise is both not rich and not old and vice versa. Everyone who is either humble or not happy is not strong. Everyone who is not rich or not quiet is either not kind or not generous. If lucy is creative... | Mary is old. | neutral | (((~curious(mary)&~old(mary)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((quiet(X)|wise(X))<=>(~rich(X)&~old(X))))&
(![X]:((humble(X)<~>~happy(X))=>~strong(X)))&
(![X]:((~rich(X)|~quiet(X))=>(~kind(X)<~>~generous(X))))&
(((creative(lucy)|kind(lucy)))<=>((~calm(john)&~creative(john))))&
(![X]:(~patient(X)<=>(strong(X)|brave... | old(mary) | [] | null | 0 |
Everyone who is both kind and patient is either curious or not rich.
Everyone who is not curious is not patient or not humble and vice versa.
If lucy is either rich or brave then someone is both funny and not old.
If alice is either funny or not tall then fred is either brave or not tall and vice versa.
If someone is n... | Fred is tall. | neutral | (![X]:((kind(X)&patient(X))=>(curious(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(~patient(X)|~humble(X))))&
(((rich(lucy)<~>brave(lucy)))=>(?[X]:((funny(X)&~old(X)))))&
(((funny(alice)<~>~tall(alice)))<=>((brave(fred)<~>~tall(fred))))&
((?[X]:(~rich(X)))<=>((~quiet(paul)&creative(paul))))&
((?[X]:((~happy(X)|~generous(X))... | tall(fred) | [] | null | 0 |
Everyone who is not humble is either not brave or tall and vice versa. If lucy is not happy then fred is not humble or tall. Everyone who is both humble and not creative is both strong and brave. If lucy is both not happy and not creative then lucy is both old and not calm. Everyone who is not calm or creative is quiet... | Mary is tall. | entailment | (![X]:(~humble(X)<=>(~brave(X)<~>tall(X))))&
((~happy(lucy))=>((~humble(fred)|tall(fred))))&
(![X]:((humble(X)&~creative(X))=>(strong(X)&brave(X))))&
(((~happy(lucy)&~creative(lucy)))=>((old(lucy)&~calm(lucy))))&
(![X]:((~calm(X)|creative(X))<=>(quiet(X)|brave(X))))&
(![X]:((~calm(X)|strong(X))=>~creative(X)))&
((?[X]:... | tall(mary) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6527400504484501501389222
% SZS output start Proof for 6527400504484501501389222
3. ! [X0] : ((~creative(X0) & humble(X0)) => (brave(X0) & strong(X0))) [input p2]
5. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | quiet(X0))) [input p4]
6. ! [X0] : ((strong(X0) | ~calm(X0)) => ~crea... | 0 |
If someone is not rich or happy then someone is either not generous or not patient and vice versa.
If someone is either not funny or wise then alice is either not strong or wise.
Everyone who is either not humble or not quiet is both tall and not wise and vice versa.
If mary is kind then someone is kind.
If lucy is bot... | Mary is not generous. | neutral | ((?[X]:((~rich(X)|happy(X))))<=>(?[X]:((~generous(X)<~>~patient(X)))))&
((?[X]:((~funny(X)<~>wise(X))))=>((~strong(alice)<~>wise(alice))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(tall(X)&~wise(X))))&
((kind(mary))=>(?[X]:(kind(X))))&
(((~calm(lucy)&brave(lucy)))=>((~kind(fred)&~wise(fred))))&
(![X]:((creative(X)<~>~tall(X)... | ~generous(mary) | [] | null | 0 |
If someone is either not brave or not funny then mary is both not creative and brave and vice versa.
If fred is both humble and not curious then john is both not quiet and not happy and vice versa.
Everyone who is not rich is either quiet or not strong and vice versa.
If someone is happy or not rich then alice is quiet... | Fred is kind. | entailment | ((?[X]:((~brave(X)<~>~funny(X))))<=>((~creative(mary)&brave(mary))))&
(((humble(fred)&~curious(fred)))<=>((~quiet(john)&~happy(john))))&
(![X]:(~rich(X)<=>(quiet(X)<~>~strong(X))))&
((?[X]:((happy(X)|~rich(X))))=>((quiet(alice)|~quiet(alice))))&
((?[X]:((brave(X)<~>~kind(X))))=>(~funny(mary)))&
(((~curious(susan)&~rich... | kind(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2197773297177382330803092
% SZS output start Proof for 2197773297177382330803092
12. ! [X0] : ((~kind(X0) | wise(X0)) <=> kind(X0)) [input p11]
25. ~kind(fred) [input hypothesis]
61. ! [X0] : (((~kind(X0) | wise(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) & ~wise(X0)))) [nnf transformation ... | 0 |
If someone is strong then susan is not patient and vice versa. If someone is either happy or not kind then someone is both not happy and not brave and vice versa. Everyone who is not generous is not calm or not happy and vice versa. Everyone who is either quiet or not funny is both happy and quiet and vice versa. If so... | John is not tall. | contradiction | ((?[X]:(strong(X)))<=>(~patient(susan)))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~generous(X)<=>(~calm(X)|~happy(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>(happy(X)&quiet(X))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(humble(paul)))&
(![X]:((~rich(X)&~brave(X))=>(~brave(X)&~curious(X))... | ~tall(john) | [
"p2",
"p3",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 821896022642801117583449
% SZS output start Proof for 821896022642801117583449
3. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~calm(X0))) [input p2]
4. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (quiet(X0) & happy(X0))) [input p3]
10. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (generous(X0) & ~kin... | 0 |
Everyone who is not patient is funny and vice versa.
If someone is curious or happy then fred is both rich and not calm and vice versa.
If lucy is not happy or kind then susan is not happy and vice versa.
If fred is humble then someone is both not old and not tall.
Everyone who is both not calm and funny is both funny ... | Lucy is strong. | entailment | (![X]:(~patient(X)<=>funny(X)))&
((?[X]:((curious(X)|happy(X))))<=>((rich(fred)&~calm(fred))))&
(((~happy(lucy)|kind(lucy)))<=>(~happy(susan)))&
((humble(fred))=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:((~calm(X)&funny(X))<=>(funny(X)&brave(X))))&
(![X]:(generous(X)=>(~generous(X)&~calm(X))))&
(![X]:((generous(X)<~>~rich(X... | strong(lucy) | [
"p5",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2835369519116253871474149
% SZS output start Proof for 2835369519116253871474149
6. ! [X0] : (generous(X0) => (~calm(X0) & ~generous(X0))) [input p5]
7. ! [X0] : ((generous(X0) <~> ~rich(X0)) => (strong(X0) & rich(X0))) [input p6]
10. ! [X0] : ((strong(X0) <~> tall(X0)) <=> (patient(X0) &... | 0 |
If someone is curious then paul is not patient or creative and vice versa. Everyone who is humble or not tall is calm and vice versa. If someone is not strong or not brave then susan is funny or calm. Everyone who is both not rich and patient is brave. If lucy is not old then john is either humble or funny and vice ver... | Paul is creative. | neutral | ((?[X]:(curious(X)))<=>((~patient(paul)|creative(paul))))&
(![X]:((humble(X)|~tall(X))<=>calm(X)))&
((?[X]:((~strong(X)|~brave(X))))=>((funny(susan)|calm(susan))))&
(![X]:((~rich(X)&patient(X))=>brave(X)))&
((~old(lucy))<=>((humble(john)<~>funny(john))))&
((?[X]:(quiet(X)))=>(?[X]:((~calm(X)<~>~funny(X)))))&
((?[X]:(~c... | creative(paul) | [] | null | 0 |
Everyone who is not brave or patient is rich or not wise and vice versa.
If susan is kind or not curious then someone is not humble.
Everyone who is either strong or rich is either strong or tall.
If lucy is both generous and not tall then someone is calm or not humble.
Everyone who is either not wise or not happy is c... | Alice is rich. | neutral | (![X]:((~brave(X)|patient(X))<=>(rich(X)|~wise(X))))&
(((kind(susan)|~curious(susan)))=>(?[X]:(~humble(X))))&
(![X]:((strong(X)<~>rich(X))=>(strong(X)<~>tall(X))))&
(((generous(lucy)&~tall(lucy)))=>(?[X]:((calm(X)|~humble(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>calm(X)))&
(![X]:((brave(X)&generous(X))<=>(~rich(X)&tall(... | rich(alice) | [] | null | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | Susan is not patient. | entailment | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | ~patient(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1877159887839705303639660
% SZS output start Proof for 1877159887839705303639660
5. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> ~creative(X0)) [input p4]
10. ! [X0] : ((~patient(X0) <~> creative(X0)) => (~creative(X0) & ~wise(X0))) [input p9]
23. patient(susan) [input hypothesis]
34. ! [X0] ... | 0 |
Everyone who is patient or not patient is calm or not quiet.
If paul is tall then fred is both kind and not happy and vice versa.
Everyone who is both brave and old is not tall and vice versa.
If john is not rich or not tall then paul is both wise and generous.
Everyone who is funny or calm is both not tall and wise an... | Paul is old. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|~quiet(X))))&
((tall(paul))<=>((kind(fred)&~happy(fred))))&
(![X]:((brave(X)&old(X))<=>~tall(X)))&
(((~rich(john)|~tall(john)))=>((wise(paul)&generous(paul))))&
(![X]:((funny(X)|calm(X))<=>(~tall(X)&wise(X))))&
(![X]:(tall(X)=>(funny(X)&~happy(X))))&
(((~humble(lucy)|~calm(lucy... | old(paul) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9045337839327764319734244
% SZS output start Proof for 9045337839327764319734244
3. ! [X0] : ((old(X0) & brave(X0)) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((calm(X0) | funny(X0)) <=> (wise(X0) & ~tall(X0))) [input p4]
6. ! [X0] : (tall(X0) => (~happy(X0) & funny(X0))) [input p5]
24. ~old(p... | 0 |
If someone is not old then someone is not wise.
Everyone who is both not rich and funny is either wise or not kind and vice versa.
If lucy is not funny then someone is not happy.
If someone is brave or curious then someone is patient and vice versa.
Everyone who is both not humble and not curious is not humble and vice... | Susan is not quiet. | entailment | ((?[X]:(~old(X)))=>(?[X]:(~wise(X))))&
(![X]:((~rich(X)&funny(X))<=>(wise(X)<~>~kind(X))))&
((~funny(lucy))=>(?[X]:(~happy(X))))&
((?[X]:((brave(X)|curious(X))))<=>(?[X]:(patient(X))))&
(![X]:((~humble(X)&~curious(X))<=>~humble(X)))&
(((rich(mary)|~humble(mary)))<=>(rich(alice)))&
(![X]:(~happy(X)<=>~quiet(X)))&
(![X]:... | ~quiet(susan) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 750375475007193011193182
% SZS output start Proof for 750375475007193011193182
2. ! [X0] : ((funny(X0) & ~rich(X0)) <=> (wise(X0) <~> ~kind(X0))) [input p1]
7. ! [X0] : (~happy(X0) <=> ~quiet(X0)) [input p6]
8. ! [X0] : (~generous(X0) <=> (~strong(X0) <~> ~old(X0))) [input p7]
9. ! [X0] :... | 0 |
Everyone who is either quiet or patient is happy or curious. Everyone who is not rich or old is brave or not generous and vice versa. Everyone who is either not tall or not funny is either funny or humble. If someone is wise then alice is kind and vice versa. If paul is either not wise or not kind then someone is eithe... | Susan is not curious. | neutral | (![X]:((quiet(X)<~>patient(X))=>(happy(X)|curious(X))))&
(![X]:((~rich(X)|old(X))<=>(brave(X)|~generous(X))))&
(![X]:((~tall(X)<~>~funny(X))=>(funny(X)<~>humble(X))))&
((?[X]:(wise(X)))<=>(kind(alice)))&
(((~wise(paul)<~>~kind(paul)))=>(?[X]:((~happy(X)<~>~creative(X)))))&
(![X]:((curious(X)<~>~funny(X))<=>wise(X)))&
(... | ~curious(susan) | [] | null | 0 |
Everyone who is not funny is both tall and not brave.
Everyone who is either wise or creative is both not old and funny.
Everyone who is not patient or brave is either not brave or generous.
Everyone who is both tall and calm is either strong or not strong and vice versa.
If someone is both not happy and not old then s... | Alice is funny. | entailment | (![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~old(X)&funny(X))))&
(![X]:((~patient(X)|brave(X))=>(~brave(X)<~>generous(X))))&
(![X]:((tall(X)&calm(X))<=>(strong(X)<~>~strong(X))))&
((?[X]:((~happy(X)&~old(X))))=>((~calm(susan)<~>wise(susan))))&
(![X]:((~curious(X)<~>rich(X))<=>(~brave(X)|ki... | funny(alice) | [
"p0",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5603491863435216001484050
% SZS output start Proof for 5603491863435216001484050
1. ! [X0] : (~funny(X0) => (~brave(X0) & tall(X0))) [input p0]
6. ! [X0] : ((~curious(X0) <~> rich(X0)) <=> (kind(X0) | ~brave(X0))) [input p5]
8. ! [X0] : (patient(X0) <=> (~curious(X0) <~> ~patient(X0))) [i... | 0 |
Everyone who is brave is both creative and not calm. Everyone who is not kind is either funny or not patient. If someone is either not brave or not rich then someone is either funny or not happy and vice versa. Everyone who is brave or not rich is either not kind or quiet. Everyone who is not tall is both tall and not ... | John is generous. | contradiction | (![X]:(brave(X)=>(creative(X)&~calm(X))))&
(![X]:(~kind(X)=>(funny(X)<~>~patient(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(?[X]:((funny(X)<~>~happy(X)))))&
(![X]:((brave(X)|~rich(X))=>(~kind(X)<~>quiet(X))))&
(![X]:(~tall(X)=>(tall(X)&~patient(X))))&
((~patient(alice))<=>((wise(susan)|~kind(susan))))&
(![X]:((~creativ... | generous(john) | [
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8491889423691428853346971
% SZS output start Proof for 8491889423691428853346971
5. ! [X0] : (~tall(X0) => (~patient(X0) & tall(X0))) [input p4]
9. ! [X0] : ((generous(X0) <~> old(X0)) => ~generous(X0)) [input p8]
18. tall(john) <~> old(john) [input p17]
25. generous(john) [input hypothes... | 0 |
Everyone who is either rich or creative is old and vice versa.
Everyone who is not humble or tall is not generous or creative.
Everyone who is not strong or wise is either not rich or not old.
If john is both not rich and generous then someone is both strong and not strong and vice versa.
If someone is wise then paul i... | Alice is not strong. | neutral | (![X]:((rich(X)<~>creative(X))<=>old(X)))&
(![X]:((~humble(X)|tall(X))=>(~generous(X)|creative(X))))&
(![X]:((~strong(X)|wise(X))=>(~rich(X)<~>~old(X))))&
(((~rich(john)&generous(john)))<=>(?[X]:((strong(X)&~strong(X)))))&
((?[X]:(wise(X)))<=>((generous(paul)|curious(paul))))&
(((~brave(mary)&~quiet(mary)))=>(?[X]:(~wi... | ~strong(alice) | [] | null | 0 |
If someone is both not old and not creative then someone is curious and vice versa.
If fred is both strong and not patient then john is both creative and not curious and vice versa.
Everyone who is kind is either not strong or generous and vice versa.
Everyone who is not patient is not curious or quiet and vice versa.
... | Lucy is not wise. | neutral | ((?[X]:((~old(X)&~creative(X))))<=>(?[X]:(curious(X))))&
(((strong(fred)&~patient(fred)))<=>((creative(john)&~curious(john))))&
(![X]:(kind(X)<=>(~strong(X)<~>generous(X))))&
(![X]:(~patient(X)<=>(~curious(X)|quiet(X))))&
(((wise(fred)&funny(fred)))<=>((~curious(fred)&~kind(fred))))&
(((~brave(mary)|~quiet(mary)))<=>((... | ~wise(lucy) | [] | null | 0 |
Everyone who is wise or strong is both not strong and humble.
Everyone who is both not humble and not calm is patient or rich and vice versa.
Everyone who is both not humble and generous is not patient and vice versa.
If someone is not creative then susan is both not brave and happy and vice versa.
Everyone who is both... | Paul is not brave. | contradiction | (![X]:((wise(X)|strong(X))=>(~strong(X)&humble(X))))&
(![X]:((~humble(X)&~calm(X))<=>(patient(X)|rich(X))))&
(![X]:((~humble(X)&generous(X))<=>~patient(X)))&
((?[X]:(~creative(X)))<=>((~brave(susan)&happy(susan))))&
(![X]:((creative(X)&~quiet(X))<=>(~old(X)<~>~tall(X))))&
(![X]:((~creative(X)<~>~wise(X))<=>(patient(X)<... | ~brave(paul) | [
"p5",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2359225420206888424892971
% SZS output start Proof for 2359225420206888424892971
6. ! [X0] : ((~creative(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tall(X0))) [input p5]
9. ! [X0] : (~brave(X0) <=> (~tall(X0) & creative(X0))) [input p8]
11. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> patient(X0))... | 0 |
If lucy is kind or not wise then alice is not curious and vice versa.
If someone is both not kind and creative then someone is either not wise or not creative.
Everyone who is generous is either wise or not old.
Everyone who is funny is both not tall and patient.
If someone is brave then someone is both creative and no... | Paul is not calm. | entailment | (((kind(lucy)|~wise(lucy)))<=>(~curious(alice)))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((~wise(X)<~>~creative(X)))))&
(![X]:(generous(X)=>(wise(X)<~>~old(X))))&
(![X]:(funny(X)=>(~tall(X)&patient(X))))&
((?[X]:(brave(X)))<=>(?[X]:((creative(X)&~brave(X)))))&
(((~strong(lucy)|patient(lucy)))<=>(~humble(mary)))&
(![X]... | ~calm(paul) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3136620228665073347250074
% SZS output start Proof for 3136620228665073347250074
14. ! [X0] : (generous(X0) <=> (~happy(X0) | ~generous(X0))) [input p13]
16. ! [X0] : ((~curious(X0) | generous(X0)) <=> (~calm(X0) & ~curious(X0))) [input p15]
24. calm(paul) [input hypothesis]
63. ! [X0] : ... | 0 |
Everyone who is humble is not generous or not humble and vice versa. Everyone who is either not wise or old is not funny or not rich. If mary is both not curious and funny then susan is not generous and vice versa. Everyone who is both not happy and old is both not generous and not curious and vice versa. Everyone who ... | Mary is brave. | entailment | (![X]:(humble(X)<=>(~generous(X)|~humble(X))))&
(![X]:((~wise(X)<~>old(X))=>(~funny(X)|~rich(X))))&
(((~curious(mary)&funny(mary)))<=>(~generous(susan)))&
(![X]:((~happy(X)&old(X))<=>(~generous(X)&~curious(X))))&
(![X]:((kind(X)<~>~humble(X))=>(~old(X)&humble(X))))&
(![X]:((brave(X)<~>happy(X))<=>(~old(X)|funny(X))))&
... | brave(mary) | [
"p0",
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7253636385188590999717794
% SZS output start Proof for 7253636385188590999717794
1. ! [X0] : (humble(X0) <=> (~humble(X0) | ~generous(X0))) [input p0]
3. (funny(mary) & ~curious(mary)) <=> ~generous(susan) [input p2]
4. ! [X0] : ((old(X0) & ~happy(X0)) <=> (~curious(X0) & ~generous(X0))) ... | 0 |
Everyone who is not humble or not patient is old or generous and vice versa.
If lucy is either not old or not happy then paul is either calm or tall and vice versa.
If someone is not calm or quiet then someone is either not curious or not quiet and vice versa.
Everyone who is generous or quiet is not humble.
Everyone w... | Lucy is not funny. | neutral | (![X]:((~humble(X)|~patient(X))<=>(old(X)|generous(X))))&
(((~old(lucy)<~>~happy(lucy)))<=>((calm(paul)<~>tall(paul))))&
((?[X]:((~calm(X)|quiet(X))))<=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(![X]:((generous(X)|quiet(X))=>~humble(X)))&
(![X]:(~strong(X)<=>(humble(X)&calm(X))))&
(((~calm(paul)&brave(paul)))<=>(kind(lucy)... | ~funny(lucy) | [] | null | 0 |
If someone is old then john is creative or patient.
If lucy is either rich or curious then someone is both wise and old and vice versa.
If fred is both not kind and not humble then someone is not humble or not curious.
Everyone who is not funny is both patient and humble and vice versa.
Everyone who is not calm or not ... | John is quiet. | neutral | ((?[X]:(old(X)))=>((creative(john)|patient(john))))&
(((rich(lucy)<~>curious(lucy)))<=>(?[X]:((wise(X)&old(X)))))&
(((~kind(fred)&~humble(fred)))=>(?[X]:((~humble(X)|~curious(X)))))&
(![X]:(~funny(X)<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|~strong(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:(~funny(X)=>(~calm(X)&~... | quiet(john) | [] | null | 0 |
Everyone who is not strong is not wise and vice versa. Everyone who is not brave or generous is not happy. If susan is curious then someone is either curious or humble and vice versa. Everyone who is either not patient or not old is not happy or not humble. Everyone who is happy or tall is either creative or not kind a... | Alice is not strong. | contradiction | (![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~brave(X)|generous(X))=>~happy(X)))&
((curious(susan))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((~patient(X)<~>~old(X))=>(~happy(X)|~humble(X))))&
(![X]:((happy(X)|tall(X))<=>(creative(X)<~>~kind(X))))&
(![X]:((calm(X)&~curious(X))<=>(~happy(X)|~generous(X))))&
(((strong(paul... | ~strong(alice) | [
"p0",
"p1",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9198054832542166801937036
% SZS output start Proof for 9198054832542166801937036
1. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((generous(X0) | ~brave(X0)) => ~happy(X0)) [input p1]
6. ! [X0] : ((~curious(X0) & calm(X0)) <=> (~generous(X0) | ~happy(X0))) [input p5]
11. ! ... | 0 |
If someone is old then paul is both not old and creative. If someone is either not funny or patient then paul is not funny. If someone is creative or not curious then paul is not creative or not tall. Everyone who is not tall is quiet or not calm. If someone is not strong or humble then someone is happy or patient. If ... | Paul is humble. | entailment | ((?[X]:(old(X)))=>((~old(paul)&creative(paul))))&
((?[X]:((~funny(X)<~>patient(X))))=>(~funny(paul)))&
((?[X]:((creative(X)|~curious(X))))=>((~creative(paul)|~tall(paul))))&
(![X]:(~tall(X)=>(quiet(X)|~calm(X))))&
((?[X]:((~strong(X)|humble(X))))=>(?[X]:((happy(X)|patient(X)))))&
((?[X]:((~humble(X)&~funny(X))))<=>((~q... | humble(paul) | [
"p0",
"p2",
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7394988629491269132963538
% SZS output start Proof for 7394988629491269132963538
1. ? [X0] : old(X0) => (creative(paul) & ~old(paul)) [input p0]
3. ? [X0] : (~curious(X0) | creative(X0)) => (~tall(paul) | ~creative(paul)) [input p2]
11. ! [X0] : (~tall(X0) <=> (funny(X0) & humble(X0))) [i... | 0 |
If paul is both not generous and not creative then mary is not brave and vice versa.
If someone is either not humble or not curious then fred is both patient and brave.
Everyone who is not wise is not patient or old and vice versa.
Everyone who is humble or not patient is both strong and not funny and vice versa.
Every... | Susan is happy. | entailment | (((~generous(paul)&~creative(paul)))<=>(~brave(mary)))&
((?[X]:((~humble(X)<~>~curious(X))))=>((patient(fred)&brave(fred))))&
(![X]:(~wise(X)<=>(~patient(X)|old(X))))&
(![X]:((humble(X)|~patient(X))<=>(strong(X)&~funny(X))))&
(![X]:((~rich(X)|~kind(X))=>(~kind(X)&happy(X))))&
((?[X]:((old(X)&~creative(X))))=>(happy(luc... | happy(susan) | [
"p2",
"p3",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8672949122840589054923692
% SZS output start Proof for 8672949122840589054923692
3. ! [X0] : (~wise(X0) <=> (old(X0) | ~patient(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | humble(X0)) <=> (~funny(X0) & strong(X0))) [input p3]
11. ! [X0] : ((wise(X0) & patient(X0)) => (patient(X0) & ~pat... | 0 |
If susan is not tall or brave then john is patient or not curious.
If john is humble or not curious then fred is both not generous and not tall and vice versa.
Everyone who is either wise or not generous is not creative or not happy.
Everyone who is calm or old is both not brave and happy and vice versa.
If fred is eit... | Fred is quiet. | neutral | (((~tall(susan)|brave(susan)))=>((patient(john)|~curious(john))))&
(((humble(john)|~curious(john)))<=>((~generous(fred)&~tall(fred))))&
(![X]:((wise(X)<~>~generous(X))=>(~creative(X)|~happy(X))))&
(![X]:((calm(X)|old(X))<=>(~brave(X)&happy(X))))&
(((rich(fred)<~>~strong(fred)))=>(?[X]:((patient(X)|creative(X)))))&
((?[... | quiet(fred) | [] | null | 0 |
If mary is rich then someone is kind or not patient.
Everyone who is both not brave and patient is happy or funny and vice versa.
Everyone who is calm is tall.
If fred is either kind or not strong then someone is either not kind or curious and vice versa.
If someone is both quiet and generous then someone is either ric... | Fred is not strong. | entailment | ((rich(mary))=>(?[X]:((kind(X)|~patient(X)))))&
(![X]:((~brave(X)&patient(X))<=>(happy(X)|funny(X))))&
(![X]:(calm(X)=>tall(X)))&
(((kind(fred)<~>~strong(fred)))<=>(?[X]:((~kind(X)<~>curious(X)))))&
((?[X]:((quiet(X)&generous(X))))=>(?[X]:((rich(X)<~>quiet(X)))))&
((?[X]:((calm(X)&strong(X))))<=>((~humble(mary)&wise(ma... | ~strong(fred) | [
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 241954160715552103929910
% SZS output start Proof for 241954160715552103929910
11. ! [X0] : ((~curious(X0) | ~brave(X0)) <=> (humble(X0) & tall(X0))) [input p10]
14. ! [X0] : ((strong(X0) & curious(X0)) => (~strong(X0) & creative(X0))) [input p13]
20. ~tall(fred) & generous(fred) [input p... | 0 |
Everyone who is calm is not patient or not humble and vice versa.
If someone is curious then someone is both calm and not humble.
Everyone who is not happy or not brave is strong.
Everyone who is either not creative or not wise is either not happy or brave and vice versa.
Everyone who is not kind is both quiet and not ... | Alice is generous. | contradiction | (![X]:(calm(X)<=>(~patient(X)|~humble(X))))&
((?[X]:(curious(X)))=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:((~happy(X)|~brave(X))=>strong(X)))&
(![X]:((~creative(X)<~>~wise(X))<=>(~happy(X)<~>brave(X))))&
(![X]:(~kind(X)=>(quiet(X)&~wise(X))))&
((?[X]:((curious(X)|~funny(X))))<=>(~strong(alice)))&
(![X]:(patient(X)=>(str... | generous(alice) | [
"p2",
"p3",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 819808211221347789628747
% SZS output start Proof for 819808211221347789628747
3. ! [X0] : ((~brave(X0) | ~happy(X0)) => strong(X0)) [input p2]
4. ! [X0] : ((~creative(X0) <~> ~wise(X0)) <=> (~happy(X0) <~> brave(X0))) [input p3]
6. ? [X0] : (~funny(X0) | curious(X0)) <=> ~strong(alice) [... | 0 |
Everyone who is either strong or not rich is not old and vice versa.
If someone is kind then someone is both not happy and tall.
If someone is not strong or not rich then someone is either not kind or not funny and vice versa.
If someone is not brave then mary is rich and vice versa.
Everyone who is both not wise and n... | Susan is rich. | neutral | (![X]:((strong(X)<~>~rich(X))<=>~old(X)))&
((?[X]:(kind(X)))=>(?[X]:((~happy(X)&tall(X)))))&
((?[X]:((~strong(X)|~rich(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
((?[X]:(~brave(X)))<=>(rich(mary)))&
(![X]:((~wise(X)&~strong(X))=>(~brave(X)|curious(X))))&
((~old(susan))<=>(~strong(alice)))&
((happy(mary))=>(?[X]:((creati... | rich(susan) | [] | null | 0 |
If john is patient then susan is either not rich or strong and vice versa.
If lucy is either funny or not patient then john is either not calm or not old and vice versa.
Everyone who is both not patient and not tall is both not curious and not quiet.
Everyone who is old or kind is both rich and strong.
Everyone who is ... | Susan is happy. | neutral | ((patient(john))<=>((~rich(susan)<~>strong(susan))))&
(((funny(lucy)<~>~patient(lucy)))<=>((~calm(john)<~>~old(john))))&
(![X]:((~patient(X)&~tall(X))=>(~curious(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))=>(rich(X)&strong(X))))&
(![X]:((humble(X)|generous(X))<=>(quiet(X)<~>~patient(X))))&
(![X]:((calm(X)&~tall(X))=>(happ... | happy(susan) | [] | null | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either humble or not curious and vice versa.
If susan is either rich or not curious then paul is both rich and kind and vice versa.
If someone is either creative or calm then john is both patient and not... | John is wise. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((humble(paul)<~>~curious(paul))))&
(((rich(susan)<~>~curious(susan)))<=>((rich(paul)&kind(paul))))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(X))<=>(~happy(X)|generous(X))))&
(!... | wise(john) | [
"p0",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3584088802027716655495274
% SZS output start Proof for 3584088802027716655495274
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
6. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p5]
7. ! [X0] : (~quiet(X0) <=> (patient(X0) | ~c... | 0 |
If someone is not quiet then alice is humble and vice versa.
Everyone who is both not funny and not rich is either not happy or not rich.
Everyone who is not rich or patient is both happy and not funny and vice versa.
Everyone who is brave is quiet or kind and vice versa.
Everyone who is happy or not brave is both not ... | Paul is quiet. | entailment | ((?[X]:(~quiet(X)))<=>(humble(alice)))&
(![X]:((~funny(X)&~rich(X))=>(~happy(X)<~>~rich(X))))&
(![X]:((~rich(X)|patient(X))<=>(happy(X)&~funny(X))))&
(![X]:(brave(X)<=>(quiet(X)|kind(X))))&
(![X]:((happy(X)|~brave(X))=>(~happy(X)&~strong(X))))&
(![X]:(humble(X)=>(tall(X)&funny(X))))&
(![X]:((~quiet(X)<~>~creative(X))=>... | quiet(paul) | [
"p0",
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5600438061648339129949465
% SZS output start Proof for 5600438061648339129949465
1. ? [X0] : ~quiet(X0) <=> humble(alice) [input p0]
5. ! [X0] : ((~brave(X0) | happy(X0)) => (~strong(X0) & ~happy(X0))) [input p4]
6. ! [X0] : (humble(X0) => (funny(X0) & tall(X0))) [input p5]
11. ! [X0] : (... | 0 |
If lucy is not happy or calm then susan is not rich or not curious.
Everyone who is creative is either strong or not quiet.
Everyone who is both not wise and patient is both not calm and not old.
Everyone who is both funny and old is funny or wise.
If john is both funny and calm then fred is funny or not rich and vice ... | Lucy is humble. | neutral | (((~happy(lucy)|calm(lucy)))=>((~rich(susan)|~curious(susan))))&
(![X]:(creative(X)=>(strong(X)<~>~quiet(X))))&
(![X]:((~wise(X)&patient(X))=>(~calm(X)&~old(X))))&
(![X]:((funny(X)&old(X))=>(funny(X)|wise(X))))&
(((funny(john)&calm(john)))<=>((funny(fred)|~rich(fred))))&
(![X]:(kind(X)=>wise(X)))&
(![X]:(happy(X)<=>(cu... | humble(lucy) | [] | null | 0 |
Everyone who is funny is humble or not humble and vice versa.
If mary is funny or wise then mary is not patient.
If john is both not wise and creative then someone is not humble or not quiet and vice versa.
Everyone who is either not kind or creative is both old and humble.
If mary is rich or kind then john is either n... | Alice is humble. | neutral | (![X]:(funny(X)<=>(humble(X)|~humble(X))))&
(((funny(mary)|wise(mary)))=>(~patient(mary)))&
(((~wise(john)&creative(john)))<=>(?[X]:((~humble(X)|~quiet(X)))))&
(![X]:((~kind(X)<~>creative(X))=>(old(X)&humble(X))))&
(((rich(mary)|kind(mary)))<=>((~kind(john)<~>~curious(john))))&
(((~calm(paul)&strong(paul)))=>((rich(mar... | humble(alice) | [] | null | 0 |
Everyone who is either quiet or not humble is both not rich and not curious and vice versa.
Everyone who is not quiet is both wise and happy and vice versa.
Everyone who is not quiet is not strong or creative.
Everyone who is either patient or funny is both brave and not wise.
Everyone who is not kind is not patient or... | Lucy is not brave. | contradiction | (![X]:((quiet(X)<~>~humble(X))<=>(~rich(X)&~curious(X))))&
(![X]:(~quiet(X)<=>(wise(X)&happy(X))))&
(![X]:(~quiet(X)=>(~strong(X)|creative(X))))&
(![X]:((patient(X)<~>funny(X))=>(brave(X)&~wise(X))))&
(![X]:(~kind(X)=>(~patient(X)|~happy(X))))&
(((~rich(mary)|~calm(mary)))=>((tall(mary)<~>~kind(mary))))&
(![X]:(~curiou... | ~brave(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3709177784558064046131550
% SZS output start Proof for 3709177784558064046131550
10. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (funny(X0) & ~funny(X0))) [input p9]
25. ~brave(lucy) [input hypothesis]
51. ! [X0] : (((~brave(X0) | ~calm(X0)) | (~funny(X0) | funny(X0))) & ((funny(X0) & ~funny(X... | 0 |
If someone is patient then mary is not old and vice versa.
Everyone who is both rich and happy is not humble.
Everyone who is either curious or not calm is happy.
If lucy is either not old or not rich then someone is both kind and brave.
If someone is both not patient and quiet then fred is not patient and vice versa.
... | Fred is humble. | entailment | ((?[X]:(patient(X)))<=>(~old(mary)))&
(![X]:((rich(X)&happy(X))=>~humble(X)))&
(![X]:((curious(X)<~>~calm(X))=>happy(X)))&
(((~old(lucy)<~>~rich(lucy)))=>(?[X]:((kind(X)&brave(X)))))&
((?[X]:((~patient(X)&quiet(X))))<=>(~patient(fred)))&
(((~rich(susan)&~calm(susan)))=>(humble(john)))&
(((~rich(lucy)&generous(lucy)))<=... | humble(fred) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1987593804508776876607402
% SZS output start Proof for 1987593804508776876607402
9. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> strong(X0)) [input p8]
15. ? [X0] : ~humble(X0) => ? [X0] : ~strong(X0) [input p14]
24. ~humble(fred) [input hypothesis]
25. ? [X0] : ~humble(X0) => ? [X1] : ~strong(... | 0 |
If john is creative or not kind then john is wise or not patient and vice versa.
Everyone who is not curious is either not brave or tall and vice versa.
If someone is rich then alice is either not creative or not humble and vice versa.
Everyone who is not tall or not curious is either not strong or not calm.
Everyone w... | John is wise. | neutral | (((creative(john)|~kind(john)))<=>((wise(john)|~patient(john))))&
(![X]:(~curious(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(rich(X)))<=>((~creative(alice)<~>~humble(alice))))&
(![X]:((~tall(X)|~curious(X))=>(~strong(X)<~>~calm(X))))&
(![X]:(~wise(X)=>generous(X)))&
(![X]:((~rich(X)&rich(X))<=>humble(X)))&
(![X]:((~curious(... | wise(john) | [] | null | 0 |
Everyone who is either not wise or wise is not generous.
If someone is tall then mary is quiet or not strong and vice versa.
If someone is both patient and brave then susan is both humble and not curious and vice versa.
If susan is either not generous or kind then someone is not funny or generous.
Everyone who is not p... | Lucy is patient. | contradiction | (![X]:((~wise(X)<~>wise(X))=>~generous(X)))&
((?[X]:(tall(X)))<=>((quiet(mary)|~strong(mary))))&
((?[X]:((patient(X)&brave(X))))<=>((humble(susan)&~curious(susan))))&
(((~generous(susan)<~>kind(susan)))=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:(~patient(X)<=>(~brave(X)|patient(X))))&
((?[X]:((tall(X)&~humble(X))))=>((... | patient(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1184228296652106918324888
% SZS output start Proof for 1184228296652106918324888
5. ! [X0] : (~patient(X0) <=> (patient(X0) | ~brave(X0))) [input p4]
24. patient(lucy) [input hypothesis]
50. ! [X0] : ((~patient(X0) | (~patient(X0) & brave(X0))) & ((patient(X0) | ~brave(X0)) | patient(X0))... | 0 |
Everyone who is either not brave or happy is both calm and not calm and vice versa.
If someone is strong or not generous then alice is brave or generous.
If someone is not old or creative then paul is kind or not tall and vice versa.
Everyone who is calm is either quiet or not kind.
If lucy is both not creative and not... | Susan is happy. | entailment | (![X]:((~brave(X)<~>happy(X))<=>(calm(X)&~calm(X))))&
((?[X]:((strong(X)|~generous(X))))=>((brave(alice)|generous(alice))))&
((?[X]:((~old(X)|creative(X))))<=>((kind(paul)|~tall(paul))))&
(![X]:(calm(X)=>(quiet(X)<~>~kind(X))))&
(((~creative(lucy)&~strong(lucy)))=>(?[X]:((rich(X)|humble(X)))))&
(![X]:((~funny(X)<~>funn... | happy(susan) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6559081719604216427272314
% SZS output start Proof for 6559081719604216427272314
4. ! [X0] : (calm(X0) => (quiet(X0) <~> ~kind(X0))) [input p3]
6. ! [X0] : ((~funny(X0) <~> funny(X0)) => (~old(X0) | ~patient(X0))) [input p5]
9. (~patient(john) | ~rich(john)) => (~brave(john) & ~quiet(john... | 0 |
Everyone who is either not generous or humble is not wise.
Everyone who is not funny or brave is generous.
If alice is either rich or not quiet then someone is not tall or curious.
If paul is strong then someone is curious or rich.
If susan is not wise or humble then mary is not generous or kind and vice versa.
If some... | Paul is not brave. | contradiction | (![X]:((~generous(X)<~>humble(X))=>~wise(X)))&
(![X]:((~funny(X)|brave(X))=>generous(X)))&
(((rich(alice)<~>~quiet(alice)))=>(?[X]:((~tall(X)|curious(X)))))&
((strong(paul))=>(?[X]:((curious(X)|rich(X)))))&
(((~wise(susan)|humble(susan)))<=>((~generous(mary)|kind(mary))))&
((?[X]:((patient(X)|~strong(X))))=>(?[X]:((ric... | ~brave(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2975247747141826147249363
% SZS output start Proof for 2975247747141826147249363
9. ! [X0] : ((tall(X0) | ~brave(X0)) => (~generous(X0) & brave(X0))) [input p8]
23. ~brave(paul) [input hypothesis]
34. ! [X0] : ((~generous(X0) & brave(X0)) | (~tall(X0) & brave(X0))) [ennf transformation 9]... | 0 |
If mary is not strong then someone is either humble or not tall.
Everyone who is either not humble or not generous is kind and vice versa.
Everyone who is brave is both brave and not quiet and vice versa.
If mary is both not tall and not quiet then paul is either calm or happy and vice versa.
If paul is both humble and... | Paul is happy. | neutral | ((~strong(mary))=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:((~humble(X)<~>~generous(X))<=>kind(X)))&
(![X]:(brave(X)<=>(brave(X)&~quiet(X))))&
(((~tall(mary)&~quiet(mary)))<=>((calm(paul)<~>happy(paul))))&
(((humble(paul)&~tall(paul)))<=>(?[X]:(~humble(X))))&
(((~kind(fred)|~tall(fred)))=>(?[X]:(quiet(X))))&
((?[X]:((~h... | happy(paul) | [] | null | 0 |
Everyone who is rich or not wise is both kind and not curious.
If lucy is both not kind and tall then john is not humble and vice versa.
Everyone who is either quiet or not rich is not curious or brave and vice versa.
Everyone who is not creative is either brave or not rich and vice versa.
Everyone who is old is not ri... | Lucy is not generous. | entailment | (![X]:((rich(X)|~wise(X))=>(kind(X)&~curious(X))))&
(((~kind(lucy)&tall(lucy)))<=>(~humble(john)))&
(![X]:((quiet(X)<~>~rich(X))<=>(~curious(X)|brave(X))))&
(![X]:(~creative(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creat... | ~generous(lucy) | [
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9164926995424008947380046
% SZS output start Proof for 9164926995424008947380046
4. ! [X0] : (~creative(X0) <=> (brave(X0) <~> ~rich(X0))) [input p3]
5. ! [X0] : (old(X0) <=> ~rich(X0)) [input p4]
8. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) | generous(X0))) [input p7]
9. ! [X0] : ((... | 0 |
Everyone who is not quiet is either quiet or not strong and vice versa.
Everyone who is either calm or not calm is old.
Everyone who is curious or not creative is not funny and vice versa.
Everyone who is either wise or not curious is both kind and not old.
If john is not brave or patient then lucy is not curious.
Ever... | Paul is funny. | contradiction | (![X]:(~quiet(X)<=>(quiet(X)<~>~strong(X))))&
(![X]:((calm(X)<~>~calm(X))=>old(X)))&
(![X]:((curious(X)|~creative(X))<=>~funny(X)))&
(![X]:((wise(X)<~>~curious(X))=>(kind(X)&~old(X))))&
(((~brave(john)|patient(john)))=>(~curious(lucy)))&
(![X]:((~curious(X)<~>~old(X))<=>(~creative(X)<~>strong(X))))&
(((~happy(alice)&pa... | funny(paul) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2190883046660717948994036
% SZS output start Proof for 2190883046660717948994036
1. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> ~calm(X0)) => old(X0)) [input p1]
3. ! [X0] : ((~creative(X0) | curious(X0)) <=> ~funny(X0)) [input p2]
6. ! [X0]... | 0 |
Everyone who is not tall is either humble or not generous and vice versa.
If someone is either not quiet or wise then someone is both old and not curious and vice versa.
Everyone who is strong or brave is either not rich or happy.
If susan is not patient then someone is humble and vice versa.
Everyone who is both not h... | Susan is tall. | entailment | (![X]:(~tall(X)<=>(humble(X)<~>~generous(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((strong(X)|brave(X))=>(~rich(X)<~>happy(X))))&
((~patient(susan))<=>(?[X]:(humble(X))))&
(![X]:((~humble(X)&~strong(X))<=>(~generous(X)|creative(X))))&
((?[X]:((~patient(X)&~old(X))))=>((old(alice)&k... | tall(susan) | [
"p3",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8027879903353587172846199
% SZS output start Proof for 8027879903353587172846199
4. ~patient(susan) <=> ? [X0] : humble(X0) [input p3]
9. ! [X0] : (~patient(X0) => ~humble(X0)) [input p8]
13. ! [X0] : (~tall(X0) <=> (curious(X0) & humble(X0))) [input p12]
24. ~tall(susan) [input hypothesi... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.