premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both tall and not kind is not funny and vice versa. Everyone who is either not curious or not brave is funny or calm and vice versa. Everyone who is either not calm or not wise is not creative or brave and vice versa. Everyone who is humble or funny is both not strong and not funny. Everyone who is eith... | Paul is wise. | entailment | (![X]:((tall(X)&~kind(X))<=>~funny(X)))&
(![X]:((~curious(X)<~>~brave(X))<=>(funny(X)|calm(X))))&
(![X]:((~calm(X)<~>~wise(X))<=>(~creative(X)|brave(X))))&
(![X]:((humble(X)|funny(X))=>(~strong(X)&~funny(X))))&
(![X]:((funny(X)<~>~happy(X))=>(~rich(X)|~patient(X))))&
(![X]:((~curious(X)|strong(X))<=>wise(X)))&
(![X]:((... | wise(paul) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 788991597916238166356482
% SZS output start Proof for 788991597916238166356482
1. ! [X0] : ((~kind(X0) & tall(X0)) <=> ~funny(X0)) [input p0]
4. ! [X0] : ((funny(X0) | humble(X0)) => (~funny(X0) & ~strong(X0))) [input p3]
6. ! [X0] : ((strong(X0) | ~curious(X0)) <=> wise(X0)) [input p5]
7... | 0 |
If someone is generous then someone is either not patient or brave and vice versa.
Everyone who is either not kind or not quiet is happy.
Everyone who is kind or not curious is tall and vice versa.
Everyone who is both not calm and patient is not tall or strong.
Everyone who is both quiet and not generous is either hap... | Lucy is happy. | contradiction | ((?[X]:(generous(X)))<=>(?[X]:((~patient(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>happy(X)))&
(![X]:((kind(X)|~curious(X))<=>tall(X)))&
(![X]:((~calm(X)&patient(X))=>(~tall(X)|strong(X))))&
(![X]:((quiet(X)&~generous(X))=>(happy(X)<~>~wise(X))))&
(![X]:((generous(X)<~>old(X))<=>(old(X)&~rich(X))))&
(![X]:((~ge... | happy(lucy) | [
"p6",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 654184025643057317715606
% SZS output start Proof for 654184025643057317715606
7. ! [X0] : ((~brave(X0) & ~generous(X0)) <=> happy(X0)) [input p6]
15. ! [X0] : ((~calm(X0) & ~rich(X0)) <=> (strong(X0) | creative(X0))) [input p14]
18. ~strong(lucy) <~> ~generous(lucy) [input p17]
19. rich(... | 0 |
If someone is brave then someone is wise. Everyone who is not wise or not curious is humble or not quiet and vice versa. If susan is old then mary is generous or not strong. Everyone who is not funny is both not tall and not happy and vice versa. Everyone who is either not creative or happy is both brave and calm. Ever... | Mary is not strong. | contradiction | ((?[X]:(brave(X)))=>(?[X]:(wise(X))))&
(![X]:((~wise(X)|~curious(X))<=>(humble(X)|~quiet(X))))&
((old(susan))=>((generous(mary)|~strong(mary))))&
(![X]:(~funny(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~creative(X)<~>happy(X))=>(brave(X)&calm(X))))&
(![X]:((wise(X)|~generous(X))=>(tall(X)&~funny(X))))&
(![X]:((kind(X)|happy... | ~strong(mary) | [
"p3",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8787722945952959307638462
% SZS output start Proof for 8787722945952959307638462
4. ! [X0] : (~funny(X0) <=> (~happy(X0) & ~tall(X0))) [input p3]
6. ! [X0] : ((~generous(X0) | wise(X0)) => (~funny(X0) & tall(X0))) [input p5]
10. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> (~funny(X0) & calm... | 0 |
If john is either not rich or creative then mary is both curious and not curious and vice versa.
If susan is both not creative and not wise then someone is both not generous and old and vice versa.
If someone is both not wise and not tall then fred is not happy.
If someone is creative or wise then lucy is not happy or ... | Lucy is not brave. | entailment | (((~rich(john)<~>creative(john)))<=>((curious(mary)&~curious(mary))))&
(((~creative(susan)&~wise(susan)))<=>(?[X]:((~generous(X)&old(X)))))&
((?[X]:((~wise(X)&~tall(X))))=>(~happy(fred)))&
((?[X]:((creative(X)|wise(X))))=>((~happy(lucy)|~rich(lucy))))&
(![X]:(generous(X)=>(~brave(X)&kind(X))))&
(![X]:(old(X)=>(~funny(X... | ~brave(lucy) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7222196012086784197251527
% SZS output start Proof for 7222196012086784197251527
5. ! [X0] : (generous(X0) => (kind(X0) & ~brave(X0))) [input p4]
13. ! [X0] : (~generous(X0) <=> (happy(X0) & generous(X0))) [input p12]
23. brave(lucy) [input hypothesis]
28. ! [X0] : ((kind(X0) & ~brave(X0)... | 0 |
Everyone who is not wise is not quiet and vice versa. If susan is both kind and patient then someone is not patient and vice versa. Everyone who is either not tall or not funny is not funny or old and vice versa. Everyone who is not quiet is not patient or creative. If paul is either not kind or not wise then someone i... | John is not generous. | neutral | (![X]:(~wise(X)<=>~quiet(X)))&
(((kind(susan)&patient(susan)))<=>(?[X]:(~patient(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>(~funny(X)|old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|creative(X))))&
(((~kind(paul)<~>~wise(paul)))=>(?[X]:((~kind(X)|rich(X)))))&
((?[X]:(happy(X)))<=>(quiet(lucy)))&
(![X]:(strong(X)=>generous(X)))&... | ~generous(john) | [] | null | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa.
If alice is not generous then lucy is not wise or curious.
Everyone who is both old and not strong is either not funny or not happy and vice versa.
Everyone who is not curious is creative or tall and vice versa.
If someone is not wise ... | John is happy. | contradiction | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
((~generous(alice))=>((~wise(lucy)|curious(lucy))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(creative(X)|tall(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>((~humble(john)&curious(john))))&
((?[X]:((funny(X)<~>creative(X))))... | happy(john) | [
"p0",
"p2",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2438552114714922729530574
% SZS output start Proof for 2438552114714922729530574
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> (happy(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & old(X0)) <=> (~funny(X0) <~> ~happy(X0))) [input p2]
7. ~quiet(susan) <=> funny(john) [input p... | 0 |
Everyone who is either not humble or brave is either not happy or calm.
Everyone who is brave is curious and vice versa.
If john is not wise or not creative then john is brave and vice versa.
Everyone who is both not tall and tall is both curious and strong and vice versa.
Everyone who is both humble and not calm is ei... | Paul is not humble. | neutral | (![X]:((~humble(X)<~>brave(X))=>(~happy(X)<~>calm(X))))&
(![X]:(brave(X)<=>curious(X)))&
(((~wise(john)|~creative(john)))<=>(brave(john)))&
(![X]:((~tall(X)&tall(X))<=>(curious(X)&strong(X))))&
(![X]:((humble(X)&~calm(X))=>(funny(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(~humble(X)&~quiet(X))))&
(![X]:((~brave(X)|strong(X)... | ~humble(paul) | [] | null | 0 |
Everyone who is not brave is either not patient or not creative and vice versa. If alice is humble or not tall then fred is not patient and vice versa. Everyone who is generous or patient is humble. If john is both not brave and not tall then someone is both funny and not creative and vice versa. If someone is patient ... | Lucy is not funny. | entailment | (![X]:(~brave(X)<=>(~patient(X)<~>~creative(X))))&
(((humble(alice)|~tall(alice)))<=>(~patient(fred)))&
(![X]:((generous(X)|patient(X))=>humble(X)))&
(((~brave(john)&~tall(john)))<=>(?[X]:((funny(X)&~creative(X)))))&
((?[X]:((patient(X)|~wise(X))))<=>(?[X]:((~creative(X)<~>rich(X)))))&
((~calm(mary))=>((~brave(alice)<~... | ~funny(lucy) | [
"p0",
"p3",
"p6",
"p9",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5355759302161784898218410
% SZS output start Proof for 5355759302161784898218410
1. ! [X0] : (~brave(X0) <=> (~patient(X0) <~> ~creative(X0))) [input p0]
4. (~tall(john) & ~brave(john)) <=> ? [X0] : (~creative(X0) & funny(X0)) [input p3]
7. ! [X0] : ((curious(X0) | calm(X0)) <=> (~quiet(X... | 0 |
If lucy is wise then fred is either kind or brave and vice versa.
Everyone who is either not calm or strong is both humble and not creative and vice versa.
If fred is not wise or curious then someone is both tall and not patient and vice versa.
Everyone who is both patient and not patient is curious.
If mary is creativ... | John is patient. | neutral | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>(humble(X)&~creative(X))))&
(((~wise(fred)|curious(fred)))<=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((patient(X)&~patient(X))=>curious(X)))&
((creative(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((~kind(X)<~>~brave(X))))=>(?[X]:(generous(X))))&
(![... | patient(john) | [] | null | 0 |
Everyone who is curious or kind is patient and vice versa. If fred is either not funny or not rich then someone is not quiet or calm. Everyone who is both old and creative is old and vice versa. Everyone who is either patient or happy is not quiet or calm and vice versa. Everyone who is both not kind and not tall is no... | John is not tall. | contradiction | (![X]:((curious(X)|kind(X))<=>patient(X)))&
(((~funny(fred)<~>~rich(fred)))=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((old(X)&creative(X))<=>old(X)))&
(![X]:((patient(X)<~>happy(X))<=>(~quiet(X)|calm(X))))&
(![X]:((~kind(X)&~tall(X))=>(~rich(X)|~brave(X))))&
(![X]:((~tall(X)&~wise(X))<=>(wise(X)&creative(X))))&
(![X]:((~c... | ~tall(john) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5287149044891721927749858
% SZS output start Proof for 5287149044891721927749858
6. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (creative(X0) & wise(X0))) [input p5]
21. curious(john) & ~wise(john) [input p20]
25. ~tall(john) [input hypothesis]
43. ! [X0] : (((~wise(X0) & ~tall(X0)) | (~creativ... | 0 |
Everyone who is both funny and not patient is patient and vice versa.
If someone is both not generous and strong then someone is either quiet or kind.
Everyone who is either not calm or tall is not rich and vice versa.
Everyone who is patient is not curious or not rich.
Everyone who is either not happy or not wise is r... | Fred is not patient. | entailment | (![X]:((funny(X)&~patient(X))<=>patient(X)))&
((?[X]:((~generous(X)&strong(X))))=>(?[X]:((quiet(X)<~>kind(X)))))&
(![X]:((~calm(X)<~>tall(X))<=>~rich(X)))&
(![X]:(patient(X)=>(~curious(X)|~rich(X))))&
(![X]:((~happy(X)<~>~wise(X))=>(rich(X)|~rich(X))))&
(![X]:((happy(X)|~rich(X))<=>(~funny(X)<~>generous(X))))&
(![X]:((... | ~patient(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 738124197204742837346383
% SZS output start Proof for 738124197204742837346383
1. ! [X0] : ((~patient(X0) & funny(X0)) <=> patient(X0)) [input p0]
22. patient(fred) [input hypothesis]
38. ! [X0] : (((~patient(X0) & funny(X0)) | ~patient(X0)) & (patient(X0) | (patient(X0) | ~funny(X0)))) [... | 0 |
Everyone who is not tall or funny is tall or generous and vice versa. Everyone who is brave or not funny is not curious or not calm. Everyone who is strong or quiet is both patient and not strong. Everyone who is both humble and not rich is both generous and quiet and vice versa. If lucy is quiet or not curious then so... | Fred is not quiet. | entailment | (![X]:((~tall(X)|funny(X))<=>(tall(X)|generous(X))))&
(![X]:((brave(X)|~funny(X))=>(~curious(X)|~calm(X))))&
(![X]:((strong(X)|quiet(X))=>(patient(X)&~strong(X))))&
(![X]:((humble(X)&~rich(X))<=>(generous(X)&quiet(X))))&
(((quiet(lucy)|~curious(lucy)))=>(?[X]:(humble(X))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
(![X... | ~quiet(fred) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4832162113853820072935432
% SZS output start Proof for 4832162113853820072935432
1. ! [X0] : ((funny(X0) | ~tall(X0)) <=> (generous(X0) | tall(X0))) [input p0]
7. ! [X0] : ((funny(X0) & quiet(X0)) <=> (generous(X0) & brave(X0))) [input p6]
12. ! [X0] : (generous(X0) <=> (calm(X0) & ~calm(... | 0 |
Everyone who is funny or not quiet is not funny and vice versa. Everyone who is creative is either not brave or not creative and vice versa. Everyone who is not calm is either curious or not quiet. Everyone who is both calm and funny is both not strong and creative and vice versa. If lucy is old then someone is funny a... | John is kind. | neutral | (![X]:((funny(X)|~quiet(X))<=>~funny(X)))&
(![X]:(creative(X)<=>(~brave(X)<~>~creative(X))))&
(![X]:(~calm(X)=>(curious(X)<~>~quiet(X))))&
(![X]:((calm(X)&funny(X))<=>(~strong(X)&creative(X))))&
((old(lucy))<=>(?[X]:(funny(X))))&
(![X]:((~old(X)&old(X))<=>~wise(X)))&
(((funny(susan)|~happy(susan)))=>((kind(john)&~stron... | kind(john) | [] | null | 0 |
If alice is patient then susan is not funny or quiet and vice versa.
Everyone who is humble or not curious is either not generous or not wise and vice versa.
If someone is both wise and not brave then lucy is patient or rich.
Everyone who is not quiet is either calm or not calm.
If susan is not rich then lucy is not ca... | Susan is strong. | entailment | ((patient(alice))<=>((~funny(susan)|quiet(susan))))&
(![X]:((humble(X)|~curious(X))<=>(~generous(X)<~>~wise(X))))&
((?[X]:((wise(X)&~brave(X))))=>((patient(lucy)|rich(lucy))))&
(![X]:(~quiet(X)=>(calm(X)<~>~calm(X))))&
((~rich(susan))=>((~calm(lucy)|~patient(lucy))))&
(![X]:((~kind(X)|~rich(X))<=>(~strong(X)|tall(X))))... | strong(susan) | [
"p1",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 912730320394565804260706
% SZS output start Proof for 912730320394565804260706
2. ! [X0] : ((~curious(X0) | humble(X0)) <=> (~generous(X0) <~> ~wise(X0))) [input p1]
7. ! [X0] : ((wise(X0) & ~curious(X0)) <=> (~tall(X0) & curious(X0))) [input p6]
9. ! [X0] : ((~old(X0) | curious(X0)) <=> ... | 0 |
If paul is both patient and rich then someone is not generous or funny. Everyone who is both strong and not kind is not tall or patient. Everyone who is both not patient and not funny is not tall and vice versa. Everyone who is not old is not patient or not quiet and vice versa. If someone is both not quiet and not bra... | Lucy is not old. | entailment | (((patient(paul)&rich(paul)))=>(?[X]:((~generous(X)|funny(X)))))&
(![X]:((strong(X)&~kind(X))=>(~tall(X)|patient(X))))&
(![X]:((~patient(X)&~funny(X))<=>~tall(X)))&
(![X]:(~old(X)<=>(~patient(X)|~quiet(X))))&
((?[X]:((~quiet(X)&~brave(X))))=>((rich(lucy)&~patient(lucy))))&
(![X]:(kind(X)<=>(curious(X)&~old(X))))&
(![X]... | ~old(lucy) | [
"p2",
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3155425152745538835330031
% SZS output start Proof for 3155425152745538835330031
3. ! [X0] : ((~funny(X0) & ~patient(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : (~old(X0) <=> (~quiet(X0) | ~patient(X0))) [input p3]
12. ! [X0] : ((creative(X0) & calm(X0)) <=> (brave(X0) | tall(X0))) [input ... | 0 |
If someone is either not happy or not quiet then susan is both not old and kind and vice versa.
If lucy is quiet or not tall then someone is not funny.
Everyone who is not calm or not quiet is generous and vice versa.
Everyone who is curious is not curious.
Everyone who is both not kind and generous is strong or calm a... | Paul is not old. | neutral | ((?[X]:((~happy(X)<~>~quiet(X))))<=>((~old(susan)&kind(susan))))&
(((quiet(lucy)|~tall(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)|~quiet(X))<=>generous(X)))&
(![X]:(curious(X)=>~curious(X)))&
(![X]:((~kind(X)&generous(X))<=>(strong(X)|calm(X))))&
(![X]:(~strong(X)<=>(~strong(X)|~brave(X))))&
((?[X]:((humble(X)&rich... | ~old(paul) | [] | null | 0 |
Everyone who is either not rich or not patient is not quiet and vice versa.
If susan is humble or kind then lucy is both strong and not strong.
Everyone who is either not calm or curious is rich.
If paul is either not brave or funny then mary is either creative or generous.
If fred is not funny then someone is both not... | Fred is not generous. | entailment | (![X]:((~rich(X)<~>~patient(X))<=>~quiet(X)))&
(((humble(susan)|kind(susan)))=>((strong(lucy)&~strong(lucy))))&
(![X]:((~calm(X)<~>curious(X))=>rich(X)))&
(((~brave(paul)<~>funny(paul)))=>((creative(mary)<~>generous(mary))))&
((~funny(fred))<=>(?[X]:((~rich(X)&brave(X)))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:((~rich... | ~generous(fred) | [
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 263156657465077443957998
% SZS output start Proof for 263156657465077443957998
10. ! [X0] : ((kind(X0) & creative(X0)) <=> (~funny(X0) | happy(X0))) [input p9]
11. ! [X0] : ((~happy(X0) <~> creative(X0)) => ~generous(X0)) [input p10]
24. happy(fred) [input p23]
25. generous(fred) [input h... | 0 |
Everyone who is either not calm or not quiet is both not happy and not calm and vice versa.
If someone is both strong and humble then someone is both not strong and brave and vice versa.
If lucy is either not funny or happy then mary is not funny and vice versa.
Everyone who is funny or tall is both quiet and not rich ... | Susan is happy. | entailment | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&~calm(X))))&
((?[X]:((strong(X)&humble(X))))<=>(?[X]:((~strong(X)&brave(X)))))&
(((~funny(lucy)<~>happy(lucy)))<=>(~funny(mary)))&
(![X]:((funny(X)|tall(X))<=>(quiet(X)&~rich(X))))&
(![X]:((~patient(X)|~generous(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~strong(X)&~creative(X))<=>(... | happy(susan) | [
"p0",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2218582793377473147790819
% SZS output start Proof for 2218582793377473147790819
1. ! [X0] : ((~calm(X0) <~> ~quiet(X0)) <=> (~calm(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((~generous(X0) | ~patient(X0)) => (~rich(X0) & ~quiet(X0))) [input p4]
20. ~rich(susan) & ~patient(susan) [input p... | 0 |
If someone is both not strong and calm then fred is not creative and vice versa.
Everyone who is quiet is either curious or strong and vice versa.
Everyone who is both not rich and brave is either tall or not funny and vice versa.
Everyone who is strong is either not strong or happy.
Everyone who is tall is both rich a... | Fred is happy. | neutral | ((?[X]:((~strong(X)&calm(X))))<=>(~creative(fred)))&
(![X]:(quiet(X)<=>(curious(X)<~>strong(X))))&
(![X]:((~rich(X)&brave(X))<=>(tall(X)<~>~funny(X))))&
(![X]:(strong(X)=>(~strong(X)<~>happy(X))))&
(![X]:(tall(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(humble(X)&~calm(X))))&
(![X]:((~tall(X)&~br... | happy(fred) | [] | null | 0 |
If someone is either happy or strong then someone is both brave and rich and vice versa.
Everyone who is either not wise or brave is either funny or patient and vice versa.
Everyone who is humble is not patient and vice versa.
If someone is either not creative or calm then someone is both old and happy.
If someone is e... | Alice is not creative. | entailment | ((?[X]:((happy(X)<~>strong(X))))<=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((~wise(X)<~>brave(X))<=>(funny(X)<~>patient(X))))&
(![X]:(humble(X)<=>~patient(X)))&
((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((old(X)&happy(X)))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((strong(X)<~>generous(X)))))&
(![X]:((funny(X)<~>brave(X))... | ~creative(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5570820278900190682402283
% SZS output start Proof for 5570820278900190682402283
10. ! [X0] : ((~creative(X0) <~> calm(X0)) <=> ~calm(X0)) [input p9]
24. creative(alice) [input hypothesis]
56. ! [X0] : ((((~calm(X0) | creative(X0)) & (calm(X0) | ~creative(X0))) | calm(X0)) & (~calm(X0) | ... | 0 |
If susan is quiet then someone is both patient and not quiet.
Everyone who is not brave is either strong or not strong and vice versa.
If someone is either calm or brave then lucy is both funny and not patient.
If someone is either tall or quiet then john is funny and vice versa.
If susan is either curious or not happy... | Susan is not calm. | entailment | ((quiet(susan))=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:(~brave(X)<=>(strong(X)<~>~strong(X))))&
((?[X]:((calm(X)<~>brave(X))))=>((funny(lucy)&~patient(lucy))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(funny(john)))&
(((curious(susan)<~>~happy(susan)))<=>((old(john)<~>tall(john))))&
((?[X]:((~wise(X)<~>~funny(X))))<=>(?[X]:... | ~calm(susan) | [
"p1",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5392831532266483691137994
% SZS output start Proof for 5392831532266483691137994
2. ! [X0] : (~brave(X0) <=> (strong(X0) <~> ~strong(X0))) [input p1]
3. ? [X0] : (calm(X0) <~> brave(X0)) => (~patient(lucy) & funny(lucy)) [input p2]
7. ! [X0] : (~brave(X0) => strong(X0)) [input p6]
8. ! [X... | 0 |
If paul is both generous and not tall then someone is either not rich or not kind.
If fred is not patient then fred is not kind or patient and vice versa.
Everyone who is both calm and humble is not humble or not wise and vice versa.
Everyone who is either old or not old is both funny and wise.
Everyone who is wise or ... | Lucy is not quiet. | neutral | (((generous(paul)&~tall(paul)))=>(?[X]:((~rich(X)<~>~kind(X)))))&
((~patient(fred))<=>((~kind(fred)|patient(fred))))&
(![X]:((calm(X)&humble(X))<=>(~humble(X)|~wise(X))))&
(![X]:((old(X)<~>~old(X))=>(funny(X)&wise(X))))&
(![X]:((wise(X)|~kind(X))=>~strong(X)))&
(![X]:(tall(X)<=>(strong(X)|old(X))))&
(((creative(fred)<~... | ~quiet(lucy) | [] | null | 0 |
Everyone who is calm or old is both wise and not quiet and vice versa. Everyone who is quiet or not brave is not happy or wise and vice versa. If paul is tall or old then susan is both generous and not old and vice versa. If susan is rich or not funny then alice is happy or not generous and vice versa. Everyone who is ... | Susan is strong. | neutral | (![X]:((calm(X)|old(X))<=>(wise(X)&~quiet(X))))&
(![X]:((quiet(X)|~brave(X))<=>(~happy(X)|wise(X))))&
(((tall(paul)|old(paul)))<=>((generous(susan)&~old(susan))))&
(((rich(susan)|~funny(susan)))<=>((happy(alice)|~generous(alice))))&
(![X]:((~humble(X)|~calm(X))<=>(~wise(X)&brave(X))))&
(![X]:((brave(X)<~>~patient(X))=>... | strong(susan) | [] | null | 0 |
Everyone who is either happy or funny is wise and vice versa.
Everyone who is either not happy or not funny is generous and vice versa.
If paul is not quiet then fred is either not humble or not strong.
Everyone who is either not calm or quiet is either brave or not happy and vice versa.
Everyone who is not curious or ... | John is not humble. | neutral | (![X]:((happy(X)<~>funny(X))<=>wise(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>generous(X)))&
((~quiet(paul))=>((~humble(fred)<~>~strong(fred))))&
(![X]:((~calm(X)<~>quiet(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)&calm(X))))&
((~strong(susan))<=>(?[X]:(generous(X))))&
(![X]:((~quiet(X)<~>~cal... | ~humble(john) | [] | null | 0 |
If someone is either old or not curious then someone is not brave. If someone is either not generous or not funny then someone is either not patient or patient and vice versa. Everyone who is not funny is not tall and vice versa. Everyone who is either curious or not creative is either not strong or calm. If fred is ei... | John is creative. | contradiction | ((?[X]:((old(X)<~>~curious(X))))=>(?[X]:(~brave(X))))&
((?[X]:((~generous(X)<~>~funny(X))))<=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:(~funny(X)<=>~tall(X)))&
(![X]:((curious(X)<~>~creative(X))=>(~strong(X)<~>calm(X))))&
(((happy(fred)<~>old(fred)))<=>((~curious(alice)|strong(alice))))&
(![X]:(creative(X)=>~tall(X)... | creative(john) | [
"p2",
"p5",
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5355712864925532658133647
% SZS output start Proof for 5355712864925532658133647
3. ! [X0] : (~funny(X0) <=> ~tall(X0)) [input p2]
6. ! [X0] : (creative(X0) => ~tall(X0)) [input p5]
7. ? [X0] : (~rich(X0) | wise(X0)) <=> ? [X0] : (~funny(X0) <~> ~humble(X0)) [input p6]
11. ! [X0] : ((kind... | 0 |
Everyone who is both calm and not kind is both not old and not patient.
If someone is not curious or happy then someone is curious.
Everyone who is either not humble or not patient is humble and vice versa.
Everyone who is either not patient or not rich is not patient or wise and vice versa.
Everyone who is rich or kin... | Lucy is not creative. | entailment | (![X]:((calm(X)&~kind(X))=>(~old(X)&~patient(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:(curious(X))))&
(![X]:((~humble(X)<~>~patient(X))<=>humble(X)))&
(![X]:((~patient(X)<~>~rich(X))<=>(~patient(X)|wise(X))))&
(![X]:((rich(X)|kind(X))<=>(tall(X)<~>funny(X))))&
((?[X]:(quiet(X)))=>((curious(paul)&rich(paul))))&
(!... | ~creative(lucy) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4647802286864358112773574
% SZS output start Proof for 4647802286864358112773574
3. ! [X0] : ((~humble(X0) <~> ~patient(X0)) <=> humble(X0)) [input p2]
4. ! [X0] : ((~patient(X0) <~> ~rich(X0)) <=> (wise(X0) | ~patient(X0))) [input p3]
5. ! [X0] : ((kind(X0) | rich(X0)) <=> (tall(X0) <~> ... | 0 |
Everyone who is either generous or wise is wise.
Everyone who is either not wise or calm is either not curious or not strong and vice versa.
Everyone who is both wise and not curious is both not curious and tall.
Everyone who is both kind and not wise is either patient or creative.
If someone is not creative then someo... | Fred is creative. | entailment | (![X]:((generous(X)<~>wise(X))=>wise(X)))&
(![X]:((~wise(X)<~>calm(X))<=>(~curious(X)<~>~strong(X))))&
(![X]:((wise(X)&~curious(X))=>(~curious(X)&tall(X))))&
(![X]:((kind(X)&~wise(X))=>(patient(X)<~>creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((creative(X)|wise(X)))))&
(![X]:((~happy(X)<~>~wise(X))=>(humble(X)&rich(... | creative(fred) | [
"p7",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8131350111264230820213182
% SZS output start Proof for 8131350111264230820213182
8. ! [X0] : (happy(X0) <=> (~curious(X0) & ~rich(X0))) [input p7]
13. ! [X0] : ((~happy(X0) | ~creative(X0)) => (funny(X0) <~> creative(X0))) [input p12]
16. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (humble(X0... | 0 |
If paul is either not creative or not tall then someone is both kind and quiet.
Everyone who is either not brave or not strong is both wise and not brave and vice versa.
Everyone who is not strong or patient is wise or not tall and vice versa.
If someone is strong or curious then someone is either not calm or not humbl... | Paul is wise. | entailment | (((~creative(paul)<~>~tall(paul)))=>(?[X]:((kind(X)&quiet(X)))))&
(![X]:((~brave(X)<~>~strong(X))<=>(wise(X)&~brave(X))))&
(![X]:((~strong(X)|patient(X))<=>(wise(X)|~tall(X))))&
((?[X]:((strong(X)|curious(X))))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(![X]:((~funny(X)&old(X))=>(generous(X)|~generous(X))))&
(((~rich(paul)&... | wise(paul) | [
"p1",
"p2",
"p7",
"p9",
"p11",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1173852654908715676124701
% SZS output start Proof for 1173852654908715676124701
2. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> (~brave(X0) & wise(X0))) [input p1]
3. ! [X0] : ((patient(X0) | ~strong(X0)) <=> (~tall(X0) | wise(X0))) [input p2]
8. ! [X0] : ((~old(X0) <~> ~patient(X0)) => (p... | 0 |
Everyone who is not tall is either not rich or wise and vice versa.
Everyone who is generous is both strong and not old and vice versa.
If someone is either strong or happy then paul is both wise and not humble.
If mary is either rich or curious then someone is both not strong and humble.
If someone is patient or wise ... | Fred is not generous. | contradiction | (![X]:(~tall(X)<=>(~rich(X)<~>wise(X))))&
(![X]:(generous(X)<=>(strong(X)&~old(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((wise(paul)&~humble(paul))))&
(((rich(mary)<~>curious(mary)))=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:((patient(X)|wise(X))))=>((~funny(susan)|~strong(susan))))&
((?[X]:((~happy(X)<~>~quiet(X))))<=... | ~generous(fred) | [
"p2",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6256669914502907375188153
% SZS output start Proof for 6256669914502907375188153
3. ? [X0] : (strong(X0) <~> happy(X0)) => (~humble(paul) & wise(paul)) [input p2]
8. ! [X0] : ((~strong(X0) & funny(X0)) <=> ~generous(X0)) [input p7]
12. ! [X0] : ((kind(X0) | ~kind(X0)) <=> humble(X0)) [inp... | 0 |
If someone is creative or not happy then someone is calm.
Everyone who is not tall or wise is quiet.
If someone is not brave or wise then susan is strong or old.
Everyone who is not tall is happy or not funny.
Everyone who is either wise or quiet is not brave.
Everyone who is both not humble and generous is brave or no... | Paul is funny. | entailment | ((?[X]:((creative(X)|~happy(X))))=>(?[X]:(calm(X))))&
(![X]:((~tall(X)|wise(X))=>quiet(X)))&
((?[X]:((~brave(X)|wise(X))))=>((strong(susan)|old(susan))))&
(![X]:(~tall(X)=>(happy(X)|~funny(X))))&
(![X]:((wise(X)<~>quiet(X))=>~brave(X)))&
(![X]:((~humble(X)&generous(X))<=>(brave(X)|~tall(X))))&
(![X]:((~quiet(X)|~genero... | funny(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2317180755785202034292703
% SZS output start Proof for 2317180755785202034292703
19. funny(paul) & strong(paul) [input p18]
23. ~funny(paul) [input hypothesis]
27. funny(paul) [pure predicate removal 19]
120. funny(paul) [cnf transformation 27]
124. ~funny(paul) [cnf transformation 23]
20... | 0 |
If john is both calm and wise then someone is not strong and vice versa.
Everyone who is not brave or not happy is either humble or not generous and vice versa.
Everyone who is tall or rich is either brave or curious and vice versa.
If lucy is not happy or generous then someone is both brave and not rich.
If someone is... | Mary is strong. | entailment | (((calm(john)&wise(john)))<=>(?[X]:(~strong(X))))&
(![X]:((~brave(X)|~happy(X))<=>(humble(X)<~>~generous(X))))&
(![X]:((tall(X)|rich(X))<=>(brave(X)<~>curious(X))))&
(((~happy(lucy)|generous(lucy)))=>(?[X]:((brave(X)&~rich(X)))))&
((?[X]:((~wise(X)<~>strong(X))))=>(happy(fred)))&
(![X]:((~happy(X)<~>~wise(X))<=>humble(... | strong(mary) | [
"p0",
"p1",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 413653166662262506354489
% SZS output start Proof for 413653166662262506354489
1. (wise(john) & calm(john)) <=> ? [X0] : ~strong(X0) [input p0]
2. ! [X0] : ((~happy(X0) | ~brave(X0)) <=> (humble(X0) <~> ~generous(X0))) [input p1]
6. ! [X0] : ((~happy(X0) <~> ~wise(X0)) <=> humble(X0)) [in... | 0 |
If someone is not humble then fred is funny.
If paul is not humble or tall then someone is not happy or not rich and vice versa.
If paul is either not humble or not wise then someone is either brave or not funny and vice versa.
If john is creative then someone is either humble or not brave and vice versa.
Everyone who ... | Alice is not curious. | contradiction | ((?[X]:(~humble(X)))=>(funny(fred)))&
(((~humble(paul)|tall(paul)))<=>(?[X]:((~happy(X)|~rich(X)))))&
(((~humble(paul)<~>~wise(paul)))<=>(?[X]:((brave(X)<~>~funny(X)))))&
((creative(john))<=>(?[X]:((humble(X)<~>~brave(X)))))&
(![X]:(~kind(X)<=>humble(X)))&
(![X]:(strong(X)<=>(~wise(X)|rich(X))))&
(![X]:((creative(X)<~>... | ~curious(alice) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4731812943151263949823247
% SZS output start Proof for 4731812943151263949823247
13. ! [X0] : ((curious(X0) & old(X0)) <=> (tall(X0) | generous(X0))) [input p12]
16. ! [X0] : (~curious(X0) => (creative(X0) & tall(X0))) [input p15]
25. ~curious(alice) [input hypothesis]
35. ! [X0] : ((crea... | 0 |
Everyone who is both brave and humble is both curious and not creative and vice versa.
Everyone who is not funny is not patient or not quiet.
If someone is not old then someone is not wise.
If someone is quiet or brave then someone is both not old and old.
Everyone who is either strong or not quiet is not happy.
Everyo... | Alice is not kind. | neutral | (![X]:((brave(X)&humble(X))<=>(curious(X)&~creative(X))))&
(![X]:(~funny(X)=>(~patient(X)|~quiet(X))))&
((?[X]:(~old(X)))=>(?[X]:(~wise(X))))&
((?[X]:((quiet(X)|brave(X))))=>(?[X]:((~old(X)&old(X)))))&
(![X]:((strong(X)<~>~quiet(X))=>~happy(X)))&
(![X]:(patient(X)<=>(~wise(X)&humble(X))))&
(![X]:((~brave(X)|~generous(X... | ~kind(alice) | [] | null | 0 |
Everyone who is quiet or not patient is either wise or happy and vice versa.
Everyone who is creative or calm is not kind and vice versa.
Everyone who is either not tall or not curious is not creative or humble and vice versa.
Everyone who is not creative or not brave is not creative.
Everyone who is either patient or ... | Fred is not brave. | contradiction | (![X]:((quiet(X)|~patient(X))<=>(wise(X)<~>happy(X))))&
(![X]:((creative(X)|calm(X))<=>~kind(X)))&
(![X]:((~tall(X)<~>~curious(X))<=>(~creative(X)|humble(X))))&
(![X]:((~creative(X)|~brave(X))=>~creative(X)))&
(![X]:((patient(X)<~>~rich(X))=>(~calm(X)|creative(X))))&
(![X]:((~kind(X)&~rich(X))<=>(kind(X)<~>humble(X))))... | ~brave(fred) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9059162337963996229653104
% SZS output start Proof for 9059162337963996229653104
2. ! [X0] : ((calm(X0) | creative(X0)) <=> ~kind(X0)) [input p1]
4. ! [X0] : ((~brave(X0) | ~creative(X0)) => ~creative(X0)) [input p3]
5. ! [X0] : ((patient(X0) <~> ~rich(X0)) => (creative(X0) | ~calm(X0))) ... | 0 |
If someone is either generous or patient then someone is either not tall or tall.
If mary is not quiet then john is both curious and not funny and vice versa.
If someone is not tall then someone is both not kind and rich.
Everyone who is not funny is either generous or tall and vice versa.
Everyone who is either old or... | Paul is strong. | neutral | ((?[X]:((generous(X)<~>patient(X))))=>(?[X]:((~tall(X)<~>tall(X)))))&
((~quiet(mary))<=>((curious(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(~funny(X)<=>(generous(X)<~>tall(X))))&
(![X]:((old(X)<~>~kind(X))=>(~patient(X)<~>funny(X))))&
((strong(susan))<=>((funny(john)<~>~brave(john)... | strong(paul) | [] | null | 0 |
Everyone who is either old or not quiet is either brave or humble.
If someone is either brave or happy then alice is either not calm or funny and vice versa.
If alice is not happy or curious then susan is brave or tall and vice versa.
If someone is both kind and not humble then susan is not patient or not tall.
Everyon... | Alice is patient. | neutral | (![X]:((old(X)<~>~quiet(X))=>(brave(X)<~>humble(X))))&
((?[X]:((brave(X)<~>happy(X))))<=>((~calm(alice)<~>funny(alice))))&
(((~happy(alice)|curious(alice)))<=>((brave(susan)|tall(susan))))&
((?[X]:((kind(X)&~humble(X))))=>((~patient(susan)|~tall(susan))))&
(![X]:((generous(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:... | patient(alice) | [] | null | 0 |
If mary is both not kind and quiet then someone is quiet or not tall.
Everyone who is not kind or happy is both creative and rich.
Everyone who is both not humble and not curious is not rich and vice versa.
If someone is both not funny and not rich then someone is either not generous or not old.
If someone is not gener... | John is not generous. | entailment | (((~kind(mary)&quiet(mary)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~kind(X)|happy(X))=>(creative(X)&rich(X))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X)... | ~generous(john) | [
"p1",
"p5",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6027808186600737714908937
% SZS output start Proof for 6027808186600737714908937
2. ! [X0] : ((happy(X0) | ~kind(X0)) => (rich(X0) & creative(X0))) [input p1]
6. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p5]
13. ! [X0] : ((rich(X0) | generous(X0)) => (old(X0) <~> rich(X0))) [inp... | 0 |
If paul is both strong and not wise then alice is both patient and old. If lucy is either curious or funny then someone is old and vice versa. Everyone who is either not tall or not patient is not wise or happy and vice versa. Everyone who is not old or not humble is not strong. Everyone who is not old or funny is both... | Mary is not old. | neutral | (((strong(paul)&~wise(paul)))=>((patient(alice)&old(alice))))&
(((curious(lucy)<~>funny(lucy)))<=>(?[X]:(old(X))))&
(![X]:((~tall(X)<~>~patient(X))<=>(~wise(X)|happy(X))))&
(![X]:((~old(X)|~humble(X))=>~strong(X)))&
(![X]:((~old(X)|funny(X))<=>(humble(X)&calm(X))))&
((?[X]:(~calm(X)))=>((curious(mary)|~tall(mary))))&
(... | ~old(mary) | [] | null | 0 |
If someone is either calm or not humble then someone is both old and calm and vice versa.
If alice is either not generous or not humble then someone is either not old or not creative and vice versa.
Everyone who is generous or tall is tall.
If someone is not creative then someone is both tall and happy and vice versa.
... | Alice is creative. | contradiction | ((?[X]:((calm(X)<~>~humble(X))))<=>(?[X]:((old(X)&calm(X)))))&
(((~generous(alice)<~>~humble(alice)))<=>(?[X]:((~old(X)<~>~creative(X)))))&
(![X]:((generous(X)|tall(X))=>tall(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((tall(X)&happy(X)))))&
(![X]:((tall(X)<~>calm(X))=>(~funny(X)<~>strong(X))))&
(![X]:((generous(X)|patient(X... | creative(alice) | [
"p2",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8219851370646858494191448
% SZS output start Proof for 8219851370646858494191448
3. ! [X0] : ((tall(X0) | generous(X0)) => tall(X0)) [input p2]
7. ? [X0] : ~generous(X0) => (humble(paul) & ~humble(paul)) [input p6]
16. ! [X0] : ((creative(X0) <~> tall(X0)) <=> (~strong(X0) | curious(X0)))... | 0 |
If lucy is not generous or patient then someone is not patient or kind. If lucy is either not creative or not tall then mary is quiet. If john is not humble then someone is both not tall and funny. Everyone who is both not funny and not old is both not strong and happy and vice versa. Everyone who is not patient is bot... | Alice is not curious. | entailment | (((~generous(lucy)|patient(lucy)))=>(?[X]:((~patient(X)|kind(X)))))&
(((~creative(lucy)<~>~tall(lucy)))=>(quiet(mary)))&
((~humble(john))=>(?[X]:((~tall(X)&funny(X)))))&
(![X]:((~funny(X)&~old(X))<=>(~strong(X)&happy(X))))&
(![X]:(~patient(X)<=>(~tall(X)&~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~creative(X)<~>rich... | ~curious(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8170317467816946403344556
% SZS output start Proof for 8170317467816946403344556
10. ! [X0] : ((~old(X0) & ~curious(X0)) <=> curious(X0)) [input p9]
25. curious(alice) [input hypothesis]
54. ! [X0] : (((~old(X0) & ~curious(X0)) | ~curious(X0)) & (curious(X0) | (old(X0) | curious(X0)))) [n... | 0 |
If someone is both old and calm then alice is kind or generous and vice versa.
Everyone who is both generous and not wise is either old or strong.
Everyone who is both not calm and humble is either wise or quiet.
Everyone who is quiet is both brave and humble and vice versa.
If paul is not curious then mary is not wise... | Fred is not rich. | neutral | ((?[X]:((old(X)&calm(X))))<=>((kind(alice)|generous(alice))))&
(![X]:((generous(X)&~wise(X))=>(old(X)<~>strong(X))))&
(![X]:((~calm(X)&humble(X))=>(wise(X)<~>quiet(X))))&
(![X]:(quiet(X)<=>(brave(X)&humble(X))))&
((~curious(paul))=>((~wise(mary)|~kind(mary))))&
((?[X]:((generous(X)&~wise(X))))<=>(?[X]:((~funny(X)<~>old... | ~rich(fred) | [] | null | 0 |
Everyone who is both patient and not tall is not old.
If someone is strong then lucy is either not curious or not generous.
Everyone who is humble is either not old or not patient and vice versa.
Everyone who is both tall and happy is curious and vice versa.
Everyone who is not happy or wise is both not calm and not hu... | John is not funny. | entailment | (![X]:((patient(X)&~tall(X))=>~old(X)))&
((?[X]:(strong(X)))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:(humble(X)<=>(~old(X)<~>~patient(X))))&
(![X]:((tall(X)&happy(X))<=>curious(X)))&
(![X]:((~happy(X)|wise(X))=>(~calm(X)&~humble(X))))&
(![X]:((~creative(X)|tall(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~old(X)&happ... | ~funny(john) | [
"p0",
"p3",
"p6",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8456243869525344050554079
% SZS output start Proof for 8456243869525344050554079
1. ! [X0] : ((~tall(X0) & patient(X0)) => ~old(X0)) [input p0]
4. ! [X0] : ((happy(X0) & tall(X0)) <=> curious(X0)) [input p3]
7. ! [X0] : ((happy(X0) & ~old(X0)) <=> ~happy(X0)) [input p6]
10. ! [X0] : ((tal... | 0 |
Everyone who is strong or not happy is either kind or patient and vice versa.
If paul is both not humble and curious then someone is either not quiet or not rich and vice versa.
Everyone who is both not tall and happy is both not tall and quiet and vice versa.
If mary is both not curious and not quiet then lucy is not ... | Susan is curious. | neutral | (![X]:((strong(X)|~happy(X))<=>(kind(X)<~>patient(X))))&
(((~humble(paul)&curious(paul)))<=>(?[X]:((~quiet(X)<~>~rich(X)))))&
(![X]:((~tall(X)&happy(X))<=>(~tall(X)&quiet(X))))&
(((~curious(mary)&~quiet(mary)))=>(~tall(lucy)))&
((?[X]:(~happy(X)))=>(?[X]:((funny(X)&~old(X)))))&
((~old(john))<=>((strong(lucy)<~>~tall(lu... | curious(susan) | [] | null | 0 |
Everyone who is either tall or generous is calm or not generous and vice versa. Everyone who is not generous is both not tall and not quiet. If fred is strong then lucy is not brave or not curious. Everyone who is not quiet or generous is not humble and vice versa. If mary is not quiet then mary is funny or creative. I... | Alice is not kind. | entailment | (![X]:((tall(X)<~>generous(X))<=>(calm(X)|~generous(X))))&
(![X]:(~generous(X)=>(~tall(X)&~quiet(X))))&
((strong(fred))=>((~brave(lucy)|~curious(lucy))))&
(![X]:((~quiet(X)|generous(X))<=>~humble(X)))&
((~quiet(mary))=>((funny(mary)|creative(mary))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>((~curious(susan)&~generous(susan)... | ~kind(alice) | [
"p0",
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1300716846193042334313508
% SZS output start Proof for 1300716846193042334313508
1. ! [X0] : ((tall(X0) <~> generous(X0)) <=> (~generous(X0) | calm(X0))) [input p0]
2. ! [X0] : (~generous(X0) => (~quiet(X0) & ~tall(X0))) [input p1]
6. ? [X0] : (~calm(X0) <~> ~kind(X0)) <=> (~generous(susa... | 0 |
Everyone who is either brave or not patient is either humble or not tall.
If someone is both creative and wise then someone is generous or quiet and vice versa.
If someone is both not calm and calm then someone is either humble or generous and vice versa.
If someone is not curious or not happy then susan is either not ... | Fred is not creative. | neutral | (![X]:((brave(X)<~>~patient(X))=>(humble(X)<~>~tall(X))))&
((?[X]:((creative(X)&wise(X))))<=>(?[X]:((generous(X)|quiet(X)))))&
((?[X]:((~calm(X)&calm(X))))<=>(?[X]:((humble(X)<~>generous(X)))))&
((?[X]:((~curious(X)|~happy(X))))<=>((~wise(susan)<~>~strong(susan))))&
(![X]:(funny(X)<=>(~calm(X)&generous(X))))&
(((kind(a... | ~creative(fred) | [] | null | 0 |
If alice is both humble and not humble then someone is both strong and humble and vice versa.
Everyone who is old or brave is both wise and not curious and vice versa.
If alice is both kind and generous then someone is either generous or not curious and vice versa.
If someone is wise or not creative then fred is either... | Alice is happy. | contradiction | (((humble(alice)&~humble(alice)))<=>(?[X]:((strong(X)&humble(X)))))&
(![X]:((old(X)|brave(X))<=>(wise(X)&~curious(X))))&
(((kind(alice)&generous(alice)))<=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall... | happy(alice) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6792491294749008925497010
% SZS output start Proof for 6792491294749008925497010
5. ! [X0] : (brave(X0) <=> (~old(X0) & ~happy(X0))) [input p4]
12. ! [X0] : ((~brave(X0) | ~humble(X0)) => (brave(X0) | ~happy(X0))) [input p11]
23. happy(alice) [input hypothesis]
31. ! [X0] : ((brave(X0) | ... | 0 |
Everyone who is both not funny and not calm is both not patient and not calm and vice versa. If someone is both not happy and old then alice is both strong and not tall and vice versa. Everyone who is either strong or not happy is not brave or strong and vice versa. If someone is both tall and strong then someone is no... | Alice is not funny. | contradiction | (![X]:((~funny(X)&~calm(X))<=>(~patient(X)&~calm(X))))&
((?[X]:((~happy(X)&old(X))))<=>((strong(alice)&~tall(alice))))&
(![X]:((strong(X)<~>~happy(X))<=>(~brave(X)|strong(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:((~old(X)|funny(X)))))&
(![X]:((~kind(X)&kind(X))<=>(~calm(X)&strong(X))))&
((?[X]:((curious(X)|happy(X))... | ~funny(alice) | [
"p1",
"p2",
"p4",
"p6",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 464911615584894437978703
% SZS output start Proof for 464911615584894437978703
2. ? [X0] : (old(X0) & ~happy(X0)) <=> (~tall(alice) & strong(alice)) [input p1]
3. ! [X0] : ((strong(X0) <~> ~happy(X0)) <=> (strong(X0) | ~brave(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (stron... | 0 |
Everyone who is both not happy and not strong is not quiet or wise.
Everyone who is either calm or wise is either quiet or strong and vice versa.
Everyone who is both kind and not old is tall.
Everyone who is both creative and brave is either tall or calm.
Everyone who is not creative or not rich is either wise or not ... | Alice is tall. | neutral | (![X]:((~happy(X)&~strong(X))=>(~quiet(X)|wise(X))))&
(![X]:((calm(X)<~>wise(X))<=>(quiet(X)<~>strong(X))))&
(![X]:((kind(X)&~old(X))=>tall(X)))&
(![X]:((creative(X)&brave(X))=>(tall(X)<~>calm(X))))&
(![X]:((~creative(X)|~rich(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((~humble(X)<~>~brave(X))<=>(~humble(X)&~funny(X))))&
(!... | tall(alice) | [] | null | 0 |
Everyone who is either old or patient is either tall or not old. Everyone who is both not creative and funny is not creative or not old and vice versa. If someone is wise or not wise then lucy is either humble or kind. Everyone who is both not generous and not humble is either strong or not old and vice versa. If someo... | John is not curious. | contradiction | (![X]:((old(X)<~>patient(X))=>(tall(X)<~>~old(X))))&
(![X]:((~creative(X)&funny(X))<=>(~creative(X)|~old(X))))&
((?[X]:((wise(X)|~wise(X))))=>((humble(lucy)<~>kind(lucy))))&
(![X]:((~generous(X)&~humble(X))<=>(strong(X)<~>~old(X))))&
((?[X]:((generous(X)|calm(X))))=>((strong(john)<~>~patient(john))))&
(((strong(susan)&... | ~curious(john) | [
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9194742877762526161250054
% SZS output start Proof for 9194742877762526161250054
10. ! [X0] : (kind(X0) <=> (patient(X0) | ~kind(X0))) [input p9]
13. ! [X0] : ((~quiet(X0) <~> ~patient(X0)) <=> ~curious(X0)) [input p12]
22. rich(john) & quiet(john) [input p21]
25. ~curious(john) [input hy... | 0 |
Everyone who is not creative or kind is both not happy and creative and vice versa.
Everyone who is both patient and rich is not kind and vice versa.
Everyone who is not curious or patient is both funny and tall and vice versa.
If someone is not patient then john is strong or not old.
Everyone who is not humble or not ... | John is not happy. | entailment | (![X]:((~creative(X)|kind(X))<=>(~happy(X)&creative(X))))&
(![X]:((patient(X)&rich(X))<=>~kind(X)))&
(![X]:((~curious(X)|patient(X))<=>(funny(X)&tall(X))))&
((?[X]:(~patient(X)))=>((strong(john)|~old(john))))&
(![X]:((~humble(X)|~quiet(X))<=>~creative(X)))&
((funny(paul))=>(~happy(john)))&
(((strong(paul)|wise(paul)))<... | ~happy(john) | [
"p0",
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 685982062973163259550247
% SZS output start Proof for 685982062973163259550247
1. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (creative(X0) & ~happy(X0))) [input p0]
2. ! [X0] : ((rich(X0) & patient(X0)) <=> ~kind(X0)) [input p1]
8. ! [X0] : ((kind(X0) & quiet(X0)) <=> (~patient(X0) <~> ~cal... | 0 |
Everyone who is old or creative is both not happy and old. If someone is not creative or not brave then susan is not generous. If someone is either not rich or creative then john is not funny. Everyone who is calm is funny and vice versa. If someone is both rich and not patient then someone is not happy or quiet and vi... | Lucy is funny. | contradiction | (![X]:((old(X)|creative(X))=>(~happy(X)&old(X))))&
((?[X]:((~creative(X)|~brave(X))))=>(~generous(susan)))&
((?[X]:((~rich(X)<~>creative(X))))=>(~funny(john)))&
(![X]:(calm(X)<=>funny(X)))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((~curious(X)&curious(X))=>(kind(X)<~>~kind(X))))&
(![X]:(... | funny(lucy) | [
"p3",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1577787855951852837661875
% SZS output start Proof for 1577787855951852837661875
4. ! [X0] : (calm(X0) <=> funny(X0)) [input p3]
7. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (~funny(X0) & funny(X0))) [input p6]
13. ! [X0] : ((creative(X0) | strong(X0)) => curious(X0)) [input p12]
14. ! [X0] ... | 0 |
Everyone who is not rich is both rich and strong.
If someone is both creative and funny then john is not rich or strong.
Everyone who is both kind and not kind is either quiet or kind and vice versa.
Everyone who is both rich and not brave is either not brave or funny and vice versa.
Everyone who is either not old or n... | Susan is not strong. | entailment | (![X]:(~rich(X)=>(rich(X)&strong(X))))&
((?[X]:((creative(X)&funny(X))))=>((~rich(john)|strong(john))))&
(![X]:((kind(X)&~kind(X))<=>(quiet(X)<~>kind(X))))&
(![X]:((rich(X)&~brave(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((~old(X)<~>~patient(X))=>tall(X)))&
(![X]:(strong(X)=>(~wise(X)&~rich(X))))&
((?[X]:(~rich(X)))=>((~f... | ~strong(susan) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4179397246230421529579521
% SZS output start Proof for 4179397246230421529579521
1. ! [X0] : (~rich(X0) => (strong(X0) & rich(X0))) [input p0]
6. ! [X0] : (strong(X0) => (~rich(X0) & ~wise(X0))) [input p5]
23. strong(susan) [input hypothesis]
24. ! [X0] : ((strong(X0) & rich(X0)) | rich(X... | 0 |
If lucy is either rich or not rich then someone is both not funny and not brave and vice versa.
If alice is either calm or not creative then susan is humble or not happy.
If lucy is either kind or not funny then fred is not wise or not tall.
Everyone who is creative or not patient is either generous or brave.
If someon... | Susan is wise. | contradiction | (((rich(lucy)<~>~rich(lucy)))<=>(?[X]:((~funny(X)&~brave(X)))))&
(((calm(alice)<~>~creative(alice)))=>((humble(susan)|~happy(susan))))&
(((kind(lucy)<~>~funny(lucy)))=>((~wise(fred)|~tall(fred))))&
(![X]:((creative(X)|~patient(X))=>(generous(X)<~>brave(X))))&
((?[X]:((~happy(X)|tall(X))))<=>(~kind(lucy)))&
(![X]:((calm... | wise(susan) | [
"p7",
"p8",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7118541707249859686113459
% SZS output start Proof for 7118541707249859686113459
8. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~funny(X0) | generous(X0))) [input p7]
9. ! [X0] : ((curious(X0) | humble(X0)) <=> ~creative(X0)) [input p8]
10. ? [X0] : ~humble(X0) <=> (funny(susan) & humble(s... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is not calm.
If alice is both kind and not wise then alice is kind or not brave and vice versa.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and stron... | Fred is not strong. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:(~calm(X))))&
(((kind(alice)&~wise(alice)))<=>((kind(alice)|~brave(alice))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|pa... | ~strong(fred) | [] | null | 0 |
Everyone who is tall or not patient is not quiet and vice versa.
Everyone who is both rich and quiet is not generous or not creative and vice versa.
Everyone who is not humble or not old is either wise or not strong and vice versa.
Everyone who is old or not calm is both not generous and not strong and vice versa.
If l... | John is not curious. | neutral | (![X]:((tall(X)|~patient(X))<=>~quiet(X)))&
(![X]:((rich(X)&quiet(X))<=>(~generous(X)|~creative(X))))&
(![X]:((~humble(X)|~old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((old(X)|~calm(X))<=>(~generous(X)&~strong(X))))&
(((~patient(lucy)<~>~old(lucy)))=>((humble(lucy)|tall(lucy))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~creati... | ~curious(john) | [] | null | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | Susan is not curious. | contradiction | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | ~curious(susan) | [
"p1",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 482142648734577644840250
% SZS output start Proof for 482142648734577644840250
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((tall(X0) | creative(X0)) => (~tall(X0) | funny(X0)... | 0 |
Everyone who is wise or old is either funny or not funny.
Everyone who is both curious and happy is not patient.
Everyone who is curious is both patient and kind and vice versa.
Everyone who is not brave or happy is old or not strong and vice versa.
If someone is both not strong and not quiet then someone is either fun... | Alice is not kind. | entailment | (![X]:((wise(X)|old(X))=>(funny(X)<~>~funny(X))))&
(![X]:((curious(X)&happy(X))=>~patient(X)))&
(![X]:(curious(X)<=>(patient(X)&kind(X))))&
(![X]:((~brave(X)|happy(X))<=>(old(X)|~strong(X))))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:(~old(X)<=>(happy(X)|~quiet(X))))&
(((~old(fred)|~g... | ~kind(alice) | [
"p1",
"p2",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 377299614970606504600965
% SZS output start Proof for 377299614970606504600965
2. ! [X0] : ((happy(X0) & curious(X0)) => ~patient(X0)) [input p1]
3. ! [X0] : (curious(X0) <=> (kind(X0) & patient(X0))) [input p2]
11. ! [X0] : ((curious(X0) & happy(X0)) <=> (curious(X0) | ~happy(X0))) [inpu... | 0 |
Everyone who is either curious or creative is not curious. If someone is not strong then someone is either not brave or patient. Everyone who is either not creative or not humble is either not strong or not humble and vice versa. If someone is either not wise or rich then alice is both not tall and curious and vice ver... | Alice is not wise. | contradiction | (![X]:((curious(X)<~>creative(X))=>~curious(X)))&
((?[X]:(~strong(X)))=>(?[X]:((~brave(X)<~>patient(X)))))&
(![X]:((~creative(X)<~>~humble(X))<=>(~strong(X)<~>~humble(X))))&
((?[X]:((~wise(X)<~>rich(X))))<=>((~tall(alice)&curious(alice))))&
(![X]:((tall(X)&~rich(X))<=>(~wise(X)|~rich(X))))&
(((wise(paul)<~>creative(pau... | ~wise(alice) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4482430084288820130502807
% SZS output start Proof for 4482430084288820130502807
4. ? [X0] : (~wise(X0) <~> rich(X0)) <=> (curious(alice) & ~tall(alice)) [input p3]
5. ! [X0] : ((~rich(X0) & tall(X0)) <=> (~rich(X0) | ~wise(X0))) [input p4]
24. ~wise(alice) [input hypothesis]
39. (? [X0] ... | 0 |
If alice is both not creative and old then alice is humble and vice versa. If someone is not brave then paul is not brave or not wise and vice versa. If susan is generous then paul is old or curious. If someone is both quiet and not strong then paul is either old or not humble. Everyone who is either not funny or not h... | Lucy is patient. | entailment | (((~creative(alice)&old(alice)))<=>(humble(alice)))&
((?[X]:(~brave(X)))<=>((~brave(paul)|~wise(paul))))&
((generous(susan))=>((old(paul)|curious(paul))))&
((?[X]:((quiet(X)&~strong(X))))=>((old(paul)<~>~humble(paul))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~brave(X)|~strong(X))))&
((?[X]:(~brave(X)))<=>((~tall(mary)<~>ca... | patient(lucy) | [
"p4",
"p8",
"p12",
"p14",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6079708525893299573716170
% SZS output start Proof for 6079708525893299573716170
5. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> (~strong(X0) | ~brave(X0))) [input p4]
9. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p8]
13. ! [X0] : ((~funny(X0) & ~creative(X0)) ... | 0 |
Everyone who is not brave is both not wise and not generous. If someone is calm or not curious then someone is not wise or happy. Everyone who is not rich is either not calm or not rich. Everyone who is wise or not kind is either not kind or old. If john is not creative or kind then fred is not quiet or not humble. If ... | Fred is humble. | neutral | (![X]:(~brave(X)=>(~wise(X)&~generous(X))))&
((?[X]:((calm(X)|~curious(X))))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:(~rich(X)=>(~calm(X)<~>~rich(X))))&
(![X]:((wise(X)|~kind(X))=>(~kind(X)<~>old(X))))&
(((~creative(john)|kind(john)))=>((~quiet(fred)|~humble(fred))))&
((?[X]:((~patient(X)|~humble(X))))<=>(?[X]:((old(X)|c... | humble(fred) | [] | null | 0 |
Everyone who is funny is not funny or rich.
Everyone who is not humble or not wise is either patient or not calm.
Everyone who is either not wise or not humble is either not tall or brave and vice versa.
Everyone who is either not kind or not old is not old or not wise.
Everyone who is brave or not strong is tall.
Ever... | Mary is not rich. | entailment | (![X]:(funny(X)=>(~funny(X)|rich(X))))&
(![X]:((~humble(X)|~wise(X))=>(patient(X)<~>~calm(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~tall(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~old(X)|~wise(X))))&
(![X]:((brave(X)|~strong(X))=>tall(X)))&
(![X]:((patient(X)<~>wise(X))<=>(~quiet(X)<~>~curious(X))))&
((?[X]:((~br... | ~rich(mary) | [
"p1",
"p2",
"p4",
"p8",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 398863299926586221404482
% SZS output start Proof for 398863299926586221404482
2. ! [X0] : ((~wise(X0) | ~humble(X0)) => (patient(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (~tall(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | brave(X0)) => tal... | 0 |
If someone is quiet or creative then mary is not creative or not generous and vice versa.
Everyone who is either not strong or creative is wise.
Everyone who is not calm is both not funny and calm and vice versa.
If alice is wise or patient then someone is wise or not quiet.
If someone is not quiet then mary is both no... | Susan is not creative. | neutral | ((?[X]:((quiet(X)|creative(X))))<=>((~creative(mary)|~generous(mary))))&
(![X]:((~strong(X)<~>creative(X))=>wise(X)))&
(![X]:(~calm(X)<=>(~funny(X)&calm(X))))&
(((wise(alice)|patient(alice)))=>(?[X]:((wise(X)|~quiet(X)))))&
((?[X]:(~quiet(X)))=>((~wise(mary)&kind(mary))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((old(... | ~creative(susan) | [] | null | 0 |
If someone is not creative or not humble then john is either not funny or rich.
If fred is not funny then susan is not humble or not wise and vice versa.
Everyone who is creative or not rich is both not kind and not humble.
If john is either wise or not tall then someone is either kind or not creative.
If paul is not c... | Fred is not generous. | contradiction | ((?[X]:((~creative(X)|~humble(X))))=>((~funny(john)<~>rich(john))))&
((~funny(fred))<=>((~humble(susan)|~wise(susan))))&
(![X]:((creative(X)|~rich(X))=>(~kind(X)&~humble(X))))&
(((wise(john)<~>~tall(john)))=>(?[X]:((kind(X)<~>~creative(X)))))&
((~curious(paul))=>(?[X]:((~calm(X)<~>wise(X)))))&
((?[X]:((~quiet(X)|~patie... | ~generous(fred) | [
"p1",
"p2",
"p7",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1400609437279269485360569
% SZS output start Proof for 1400609437279269485360569
2. ~funny(fred) <=> (~wise(susan) | ~humble(susan)) [input p1]
3. ! [X0] : ((~rich(X0) | creative(X0)) => (~humble(X0) & ~kind(X0))) [input p2]
8. ! [X0] : ((~rich(X0) | funny(X0)) <=> (strong(X0) | ~old(X0))... | 0 |
If susan is both humble and not brave then someone is not calm or curious and vice versa. If someone is happy then fred is not calm. If someone is patient then susan is either humble or rich. Everyone who is both not calm and quiet is quiet. If someone is either old or not rich then someone is not creative or curious a... | Paul is not rich. | entailment | (((humble(susan)&~brave(susan)))<=>(?[X]:((~calm(X)|curious(X)))))&
((?[X]:(happy(X)))=>(~calm(fred)))&
((?[X]:(patient(X)))=>((humble(susan)<~>rich(susan))))&
(![X]:((~calm(X)&quiet(X))=>quiet(X)))&
((?[X]:((old(X)<~>~rich(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:(~old(X)=>(~tall(X)|curious(X))))&
(![X]:((hu... | ~rich(paul) | [
"p6",
"p8",
"p11",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 869911601949652141981334
% SZS output start Proof for 869911601949652141981334
7. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (patient(X0) | ~happy(X0))) [input p6]
9. ! [X0] : (~humble(X0) => (~old(X0) & ~wise(X0))) [input p8]
12. ! [X0] : ((funny(X0) | kind(X0)) => ~wise(X0)) [input p11]
13... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is rich or strong is not calm.
Everyone who is both generous and curious is kind or funny and vice versa.
Everyone who is old or wise is not tall or happy.
Everyone who is generous or not patient is both not brave and old.
... | John is tall. | entailment | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|strong(X))=>~calm(X)))&
(![X]:((generous(X)&curious(X))<=>(kind(X)|funny(X))))&
(![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(... | tall(john) | [
"p2",
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3751039466594357339700190
% SZS output start Proof for 3751039466594357339700190
3. ! [X0] : ((curious(X0) & generous(X0)) <=> (funny(X0) | kind(X0))) [input p2]
5. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~brave(X0))) [input p4]
7. ! [X0] : (funny(X0) <=> (~tall(X0) | rich(X... | 0 |
If someone is funny or not brave then someone is quiet.
Everyone who is not rich or not tall is either not patient or not humble and vice versa.
If someone is either not quiet or not old then someone is not brave.
Everyone who is not creative is happy.
Everyone who is either not happy or not funny is both calm and quie... | Paul is kind. | entailment | ((?[X]:((funny(X)|~brave(X))))=>(?[X]:(quiet(X))))&
(![X]:((~rich(X)|~tall(X))<=>(~patient(X)<~>~humble(X))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~brave(X))))&
(![X]:(~creative(X)=>happy(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>(calm(X)&quiet(X))))&
((tall(alice))=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:((~gen... | kind(paul) | [
"p10",
"p11",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4592723123706568340948714
% SZS output start Proof for 4592723123706568340948714
11. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> ~old(X0)) [input p10]
12. ? [X0] : (~patient(X0) | ~calm(X0)) => (~patient(susan) & humble(susan)) [input p11]
15. ? [X0] : (~old(X0) <~> ~quiet(X0)) <=> ? [X0] : (~s... | 0 |
If lucy is both wise and tall then mary is either not creative or not funny and vice versa.
Everyone who is tall or generous is both not creative and calm and vice versa.
If mary is both not strong and happy then someone is both funny and not funny.
If fred is either curious or not rich then someone is both happy and n... | Lucy is generous. | contradiction | (((wise(lucy)&tall(lucy)))<=>((~creative(mary)<~>~funny(mary))))&
(![X]:((tall(X)|generous(X))<=>(~creative(X)&calm(X))))&
(((~strong(mary)&happy(mary)))=>(?[X]:((funny(X)&~funny(X)))))&
(((curious(fred)<~>~rich(fred)))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(![X]:((creative(X)<~>rich(X))=>(... | generous(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4258708143546343136227947
% SZS output start Proof for 4258708143546343136227947
9. ! [X0] : ((~curious(X0) | curious(X0)) => ~generous(X0)) [input p8]
22. generous(lucy) [input hypothesis]
28. ! [X0] : (~generous(X0) | (curious(X0) & ~curious(X0))) [ennf transformation 9]
90. ~generous(X... | 0 |
Everyone who is old is both not humble and kind and vice versa.
Everyone who is not humble or strong is patient or creative.
Everyone who is both not kind and patient is not funny or patient and vice versa.
Everyone who is both not wise and old is either tall or not quiet.
Everyone who is not kind is either rich or qui... | Alice is happy. | contradiction | (![X]:(old(X)<=>(~humble(X)&kind(X))))&
(![X]:((~humble(X)|strong(X))=>(patient(X)|creative(X))))&
(![X]:((~kind(X)&patient(X))<=>(~funny(X)|patient(X))))&
(![X]:((~wise(X)&old(X))=>(tall(X)<~>~quiet(X))))&
(![X]:(~kind(X)<=>(rich(X)<~>quiet(X))))&
(![X]:((rich(X)<~>quiet(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:(~patien... | happy(alice) | [
"p1",
"p2",
"p6",
"p7",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 210529280460483487974592
% SZS output start Proof for 210529280460483487974592
2. ! [X0] : ((strong(X0) | ~humble(X0)) => (creative(X0) | patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) & ~kind(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
7. ! [X0] : (~patient(X0) => (humble(X0) <~>... | 0 |
If john is wise then someone is either not quiet or brave and vice versa. Everyone who is both quiet and generous is both not brave and not humble. Everyone who is funny is tall and vice versa. Everyone who is both curious and not humble is happy or not tall and vice versa. Everyone who is tall or kind is old. If lucy ... | Mary is not wise. | neutral | ((wise(john))<=>(?[X]:((~quiet(X)<~>brave(X)))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X)&~humble(X))<=>(happy(X)|~tall(X))))&
(![X]:((tall(X)|kind(X))=>old(X)))&
((~brave(lucy))=>((old(john)|strong(john))))&
(![X]:((~old(X)|~strong(X))<=>(funny(X)&kind(X... | ~wise(mary) | [] | null | 0 |
If lucy is either patient or creative then someone is either calm or generous. If susan is both not happy and not kind then someone is not old or not curious and vice versa. If someone is either not tall or old then john is either creative or quiet and vice versa. Everyone who is either generous or calm is either kind ... | Fred is wise. | contradiction | (((patient(lucy)<~>creative(lucy)))=>(?[X]:((calm(X)<~>generous(X)))))&
(((~happy(susan)&~kind(susan)))<=>(?[X]:((~old(X)|~curious(X)))))&
((?[X]:((~tall(X)<~>old(X))))<=>((creative(john)<~>quiet(john))))&
(![X]:((generous(X)<~>calm(X))<=>(kind(X)<~>rich(X))))&
(![X]:(rich(X)=>(strong(X)|~rich(X))))&
(((strong(lucy)<~>... | wise(fred) | [
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 67674205337521331652350
% SZS output start Proof for 67674205337521331652350
11. ! [X0] : ((~kind(X0) <~> tall(X0)) => (old(X0) <~> ~wise(X0))) [input p10]
13. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0) & tall(X0))) [input p12]
15. ! [X0] : ((kind(X0) & tall(X0)) <=> (wise(X0) <~>... | 0 |
Everyone who is generous or tall is both generous and not rich and vice versa.
Everyone who is wise or creative is not old or not curious.
If lucy is both not funny and not calm then someone is either not generous or not old and vice versa.
If someone is wise then someone is either happy or not quiet.
If someone is eit... | John is strong. | contradiction | (![X]:((generous(X)|tall(X))<=>(generous(X)&~rich(X))))&
(![X]:((wise(X)|creative(X))=>(~old(X)|~curious(X))))&
(((~funny(lucy)&~calm(lucy)))<=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:(wise(X)))=>(?[X]:((happy(X)<~>~quiet(X)))))&
((?[X]:((generous(X)<~>~quiet(X))))<=>((creative(alice)<~>~brave(alice))))&
((?[X]:((~c... | strong(john) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3386878357611444104899759
% SZS output start Proof for 3386878357611444104899759
13. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> (generous(X0) | ~humble(X0))) [input p12]
23. ~humble(john) [input p22]
24. strong(john) [input hypothesis]
68. ! [X0] : (((~tall(X0) & ~strong(X0)) | (~generous(X0... | 0 |
If lucy is either creative or patient then someone is both not humble and not quiet.
If someone is not wise then john is both happy and quiet.
Everyone who is either quiet or funny is strong or creative.
If john is both humble and curious then lucy is either not curious or not wise.
If someone is either not wise or str... | Susan is wise. | contradiction | (((creative(lucy)<~>patient(lucy)))=>(?[X]:((~humble(X)&~quiet(X)))))&
((?[X]:(~wise(X)))=>((happy(john)&quiet(john))))&
(![X]:((quiet(X)<~>funny(X))=>(strong(X)|creative(X))))&
(((humble(john)&curious(john)))=>((~curious(lucy)<~>~wise(lucy))))&
((?[X]:((~wise(X)<~>strong(X))))=>(?[X]:((generous(X)<~>~quiet(X)))))&
(![... | wise(susan) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5327376202253054392149015
% SZS output start Proof for 5327376202253054392149015
12. ! [X0] : ((wise(X0) | calm(X0)) <=> ~tall(X0)) [input p11]
13. ! [X0] : ((~funny(X0) & tall(X0)) <=> ~tall(X0)) [input p12]
24. wise(susan) [input hypothesis]
57. ! [X0] : (((wise(X0) | calm(X0)) | tall(X... | 0 |
If lucy is not patient then paul is both generous and not wise.
Everyone who is both wise and not rich is not tall or not curious and vice versa.
Everyone who is funny is both patient and not creative.
Everyone who is not quiet or not rich is both generous and curious and vice versa.
If paul is both not rich and old th... | Lucy is creative. | neutral | ((~patient(lucy))=>((generous(paul)&~wise(paul))))&
(![X]:((wise(X)&~rich(X))<=>(~tall(X)|~curious(X))))&
(![X]:(funny(X)=>(patient(X)&~creative(X))))&
(![X]:((~quiet(X)|~rich(X))<=>(generous(X)&curious(X))))&
(((~rich(paul)&old(paul)))=>(~brave(mary)))&
(![X]:(~brave(X)=>(patient(X)|~old(X))))&
(((~generous(susan)&ric... | creative(lucy) | [] | null | 0 |
Everyone who is tall or not patient is rich or not funny and vice versa.
Everyone who is tall is either kind or humble and vice versa.
Everyone who is either tall or funny is either funny or not humble and vice versa.
If mary is either not calm or not generous then someone is kind.
Everyone who is not curious or brave ... | John is patient. | neutral | (![X]:((tall(X)|~patient(X))<=>(rich(X)|~funny(X))))&
(![X]:(tall(X)<=>(kind(X)<~>humble(X))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)<~>~humble(X))))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:(kind(X))))&
(![X]:((~curious(X)|brave(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((brave(X)<~>creative(X))))<=>(?[X]:(~brave(X)))... | patient(john) | [] | null | 0 |
Everyone who is either not rich or happy is not generous and vice versa. Everyone who is not humble is not happy or creative. Everyone who is creative is either not happy or tall. If alice is old then someone is not generous or brave and vice versa. If someone is either funny or humble then fred is not calm. Everyone w... | Mary is patient. | neutral | (![X]:((~rich(X)<~>happy(X))<=>~generous(X)))&
(![X]:(~humble(X)=>(~happy(X)|creative(X))))&
(![X]:(creative(X)=>(~happy(X)<~>tall(X))))&
((old(alice))<=>(?[X]:((~generous(X)|brave(X)))))&
((?[X]:((funny(X)<~>humble(X))))=>(~calm(fred)))&
(![X]:((~funny(X)<~>happy(X))<=>~patient(X)))&
((?[X]:((curious(X)&tall(X))))=>(?... | patient(mary) | [] | null | 0 |
Everyone who is both not creative and curious is curious.
If john is both not strong and not funny then someone is both not curious and not happy and vice versa.
If someone is not patient then someone is either not creative or creative.
If john is rich then someone is strong or not happy.
Everyone who is generous is no... | John is calm. | neutral | (![X]:((~creative(X)&curious(X))=>curious(X)))&
(((~strong(john)&~funny(john)))<=>(?[X]:((~curious(X)&~happy(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~creative(X)<~>creative(X)))))&
((rich(john))=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(generous(X)<=>(~humble(X)|happy(X))))&
(![X]:((~generous(X)|~patient(X))=>(~curious(X... | calm(john) | [] | null | 0 |
Everyone who is curious or not creative is old and vice versa. Everyone who is both not generous and rich is both old and calm. If someone is either not wise or kind then paul is either wise or calm. Everyone who is not generous is not old and vice versa. If someone is both not wise and not rich then susan is either br... | Paul is tall. | neutral | (![X]:((curious(X)|~creative(X))<=>old(X)))&
(![X]:((~generous(X)&rich(X))=>(old(X)&calm(X))))&
((?[X]:((~wise(X)<~>kind(X))))=>((wise(paul)<~>calm(paul))))&
(![X]:(~generous(X)<=>~old(X)))&
((?[X]:((~wise(X)&~rich(X))))=>((brave(susan)<~>tall(susan))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:(~kind(X))))&
((?[X]:(humb... | tall(paul) | [] | null | 0 |
Everyone who is either brave or not kind is either happy or not kind and vice versa.
Everyone who is both happy and not quiet is not old or not tall.
If john is either rich or not brave then mary is not brave.
Everyone who is tall is both not happy and generous and vice versa.
If someone is not kind then fred is wise o... | Fred is not wise. | entailment | (![X]:((brave(X)<~>~kind(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((happy(X)&~quiet(X))=>(~old(X)|~tall(X))))&
(((rich(john)<~>~brave(john)))=>(~brave(mary)))&
(![X]:(tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:(~kind(X)))=>((wise(fred)|~creative(fred))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(... | ~wise(fred) | [
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3728002876784394401415396
% SZS output start Proof for 3728002876784394401415396
8. ! [X0] : ((~tall(X0) | ~wise(X0)) => (~creative(X0) & ~curious(X0))) [input p7]
9. ! [X0] : ((~creative(X0) & wise(X0)) <=> (happy(X0) & ~patient(X0))) [input p8]
10. ? [X0] : (tall(X0) <~> ~quiet(X0)) <=>... | 0 |
If someone is either old or creative then someone is kind or quiet.
Everyone who is either happy or humble is wise and vice versa.
If susan is either not quiet or not funny then someone is kind or wise.
Everyone who is not funny is not rich.
If mary is either quiet or not brave then lucy is not quiet or not rich.
Every... | Susan is generous. | contradiction | ((?[X]:((old(X)<~>creative(X))))=>(?[X]:((kind(X)|quiet(X)))))&
(![X]:((happy(X)<~>humble(X))<=>wise(X)))&
(((~quiet(susan)<~>~funny(susan)))=>(?[X]:((kind(X)|wise(X)))))&
(![X]:(~funny(X)=>~rich(X)))&
(((quiet(mary)<~>~brave(mary)))=>((~quiet(lucy)|~rich(lucy))))&
(![X]:((funny(X)|generous(X))<=>(calm(X)&patient(X))))... | generous(susan) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1740489932739287366473659
% SZS output start Proof for 1740489932739287366473659
6. ! [X0] : ((generous(X0) | funny(X0)) <=> (patient(X0) & calm(X0))) [input p5]
8. ! [X0] : (~kind(X0) <=> (~patient(X0) <~> kind(X0))) [input p7]
25. generous(susan) [input hypothesis]
54. ! [X0] : (((gener... | 0 |
Everyone who is either not funny or not happy is either brave or happy. Everyone who is both not calm and not strong is both wise and not generous. Everyone who is both kind and rich is both calm and not rich and vice versa. Everyone who is both tall and rich is not creative. If someone is both not creative and not pat... | Lucy is not patient. | neutral | (![X]:((~funny(X)<~>~happy(X))=>(brave(X)<~>happy(X))))&
(![X]:((~calm(X)&~strong(X))=>(wise(X)&~generous(X))))&
(![X]:((kind(X)&rich(X))<=>(calm(X)&~rich(X))))&
(![X]:((tall(X)&rich(X))=>~creative(X)))&
((?[X]:((~creative(X)&~patient(X))))=>(?[X]:((~strong(X)&rich(X)))))&
(![X]:((~humble(X)&~quiet(X))<=>old(X)))&
(![X... | ~patient(lucy) | [] | null | 0 |
If lucy is humble then someone is generous.
Everyone who is not wise or wise is either creative or patient.
Everyone who is either not creative or tall is either not wise or not creative and vice versa.
If alice is both kind and brave then paul is not generous and vice versa.
If someone is calm or strong then mary is b... | John is not humble. | entailment | ((humble(lucy))=>(?[X]:(generous(X))))&
(![X]:((~wise(X)|wise(X))=>(creative(X)<~>patient(X))))&
(![X]:((~creative(X)<~>tall(X))<=>(~wise(X)<~>~creative(X))))&
(((kind(alice)&brave(alice)))<=>(~generous(paul)))&
((?[X]:((calm(X)|strong(X))))<=>((curious(mary)&tall(mary))))&
(![X]:(old(X)=>(~rich(X)&kind(X))))&
(![X]:((... | ~humble(john) | [
"p5",
"p9",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3085936429029160961713657
% SZS output start Proof for 3085936429029160961713657
6. ! [X0] : (old(X0) => (kind(X0) & ~rich(X0))) [input p5]
10. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (~creative(X0) & ~wise(X0))) [input p9]
13. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (quiet(X0) <~> hum... | 0 |
Everyone who is calm or not funny is both rich and not tall. Everyone who is curious is both not funny and not happy. Everyone who is both quiet and not generous is either funny or wise. Everyone who is either brave or not funny is both kind and not happy and vice versa. If paul is both not calm and humble then paul is... | Paul is not generous. | entailment | (![X]:((calm(X)|~funny(X))=>(rich(X)&~tall(X))))&
(![X]:(curious(X)=>(~funny(X)&~happy(X))))&
(![X]:((quiet(X)&~generous(X))=>(funny(X)<~>wise(X))))&
(![X]:((brave(X)<~>~funny(X))<=>(kind(X)&~happy(X))))&
(((~calm(paul)&humble(paul)))=>((humble(paul)&~tall(paul))))&
(![X]:((funny(X)|~generous(X))<=>(~funny(X)<~>brave(X... | ~generous(paul) | [
"p0",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 543141121621897451964802
% SZS output start Proof for 543141121621897451964802
1. ! [X0] : ((~funny(X0) | calm(X0)) => (~tall(X0) & rich(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | funny(X0)) <=> (~funny(X0) <~> brave(X0))) [input p5]
14. (~tall(mary) | ~wise(mary)) <=> (~brave(paul) &... | 0 |
Everyone who is both not strong and rich is both not curious and not strong and vice versa.
Everyone who is happy or funny is either not strong or patient.
Everyone who is strong or patient is not wise and vice versa.
Everyone who is not patient or not kind is both funny and not happy and vice versa.
Everyone who is ei... | Lucy is not funny. | contradiction | (![X]:((~strong(X)&rich(X))<=>(~curious(X)&~strong(X))))&
(![X]:((happy(X)|funny(X))=>(~strong(X)<~>patient(X))))&
(![X]:((strong(X)|patient(X))<=>~wise(X)))&
(![X]:((~patient(X)|~kind(X))<=>(funny(X)&~happy(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(~creative(X)&old(X))))&
(![X]:((~happy(X)&quiet(X))=>~wise(X)))&
((quiet(p... | ~funny(lucy) | [
"p2",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8085724983905830609828543
% SZS output start Proof for 8085724983905830609828543
3. ! [X0] : ((patient(X0) | strong(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (~happy(X0) & funny(X0))) [input p3]
18. wise(lucy) [input p17]
24. ~funny(lucy) [input hypothesis... | 0 |
If lucy is not calm then john is both humble and tall.
If someone is both not brave and happy then alice is both not strong and quiet.
If alice is humble then someone is patient or rich and vice versa.
Everyone who is either not kind or calm is both not tall and not rich and vice versa.
If someone is not tall then some... | Fred is kind. | contradiction | ((~calm(lucy))=>((humble(john)&tall(john))))&
((?[X]:((~brave(X)&happy(X))))=>((~strong(alice)&quiet(alice))))&
((humble(alice))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~tall(X)&~rich(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
((?[X]:(~generous(X)))=>(?[X]:(~old(X))))&
(![X]:(... | kind(fred) | [
"p3",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4991258174595818171520386
% SZS output start Proof for 4991258174595818171520386
4. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (~rich(X0) & ~tall(X0))) [input p3]
7. ! [X0] : ((~tall(X0) & quiet(X0)) <=> ~quiet(X0)) [input p6]
16. ! [X0] : ((~calm(X0) | generous(X0)) <=> (funny(X0) & ~quiet(X... | 0 |
If someone is strong or wise then someone is calm or strong and vice versa.
If john is both patient and old then someone is not wise or not patient.
Everyone who is not calm or not wise is not brave or not strong.
Everyone who is not humble is not calm or old.
If someone is generous or not quiet then someone is both ta... | John is old. | neutral | ((?[X]:((strong(X)|wise(X))))<=>(?[X]:((calm(X)|strong(X)))))&
(((patient(john)&old(john)))=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~brave(X)|~strong(X))))&
(![X]:(~humble(X)=>(~calm(X)|old(X))))&
((?[X]:((generous(X)|~quiet(X))))=>(?[X]:((tall(X)&happy(X)))))&
((?[X]:((~brave(X)<~>calm(X))))=>(... | old(john) | [] | null | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa. If someone is either brave or not wise then someone is either happy or not wise and vice versa. Everyone who is either old or quiet is not wise or not tall. If alice is not patient then someone is not generous or not funny and vice ve... | John is generous. | contradiction | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((old(X)<~>quiet(X))=>(~wise(X)|~tall(X))))&
((~patient(alice))<=>(?[X]:((~generous(X)|~funny(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((kind(X)|~calm(X))<=>tall(X)))&... | generous(john) | [
"p0",
"p3",
"p7",
"p9",
"p11",
"p12",
"p15",
"p19",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1732251699092361369725453
% SZS output start Proof for 1732251699092361369725453
1. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~brave(X0) & ~tall(X0))) [input p0]
4. ~patient(alice) <=> ? [X0] : (~funny(X0) | ~generous(X0)) [input p3]
8. ! [X0] : ((brave(X0) <~> tall(X0)) <=> (quiet(X0) <~> ~k... | 0 |
Everyone who is wise is both not strong and strong and vice versa. Everyone who is kind or wise is not wise or strong and vice versa. If someone is not generous then paul is old. If someone is both not curious and tall then someone is both generous and not rich and vice versa. If susan is either wise or not curious the... | Paul is not old. | contradiction | (![X]:(wise(X)<=>(~strong(X)&strong(X))))&
(![X]:((kind(X)|wise(X))<=>(~wise(X)|strong(X))))&
((?[X]:(~generous(X)))=>(old(paul)))&
((?[X]:((~curious(X)&tall(X))))<=>(?[X]:((generous(X)&~rich(X)))))&
(((wise(susan)<~>~curious(susan)))=>(~rich(paul)))&
((generous(mary))<=>((funny(mary)&curious(mary))))&
((generous(paul)... | ~old(paul) | [
"p0",
"p1",
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4324447876677697687252545
% SZS output start Proof for 4324447876677697687252545
1. ! [X0] : (wise(X0) <=> (strong(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((wise(X0) | kind(X0)) <=> (strong(X0) | ~wise(X0))) [input p1]
3. ? [X0] : ~generous(X0) => old(paul) [input p2]
7. generous(paul)... | 0 |
Everyone who is not old is not patient or patient and vice versa.
If john is both not strong and not wise then someone is both curious and brave and vice versa.
If john is quiet then someone is both not quiet and funny and vice versa.
Everyone who is tall is either not brave or quiet and vice versa.
If fred is generous... | Fred is quiet. | contradiction | (![X]:(~old(X)<=>(~patient(X)|patient(X))))&
(((~strong(john)&~wise(john)))<=>(?[X]:((curious(X)&brave(X)))))&
((quiet(john))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:(tall(X)<=>(~brave(X)<~>quiet(X))))&
(((generous(fred)|wise(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)&calm(X))=>(~tall(X)&old(X))))&
((?[X]:((curiou... | quiet(fred) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3576511361366043632491360
% SZS output start Proof for 3576511361366043632491360
1. ! [X0] : (~old(X0) <=> (patient(X0) | ~patient(X0))) [input p0]
4. ! [X0] : (tall(X0) <=> (~brave(X0) <~> quiet(X0))) [input p3]
8. ! [X0] : (~strong(X0) <=> ~kind(X0)) [input p7]
9. ! [X0] : (~tall(X0) =>... | 0 |
If someone is either generous or quiet then someone is not strong or kind.
Everyone who is both not curious and rich is either wise or rich and vice versa.
Everyone who is kind is either not patient or generous.
Everyone who is brave or not rich is either not kind or strong and vice versa.
If paul is not kind or not ol... | Mary is tall. | neutral | ((?[X]:((generous(X)<~>quiet(X))))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~curious(X)&rich(X))<=>(wise(X)<~>rich(X))))&
(![X]:(kind(X)=>(~patient(X)<~>generous(X))))&
(![X]:((brave(X)|~rich(X))<=>(~kind(X)<~>strong(X))))&
(((~kind(paul)|~old(paul)))=>(?[X]:((curious(X)<~>~curious(X)))))&
(((~quiet(alice)|~tall(alice)... | tall(mary) | [] | null | 0 |
If paul is not calm then someone is patient and vice versa.
Everyone who is curious is kind and vice versa.
Everyone who is both quiet and wise is both brave and not creative and vice versa.
Everyone who is both not humble and quiet is both curious and kind.
If someone is rich then someone is funny or calm and vice ver... | Mary is not curious. | entailment | ((~calm(paul))<=>(?[X]:(patient(X))))&
(![X]:(curious(X)<=>kind(X)))&
(![X]:((quiet(X)&wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((~humble(X)&quiet(X))=>(curious(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((~strong(X)&kind(X))=>(~wise(X)&~humble(X))))&
(![X]:((rich(X)&strong(X))=>(old(X)&~... | ~curious(mary) | [
"p1",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3453025784024011662315854
% SZS output start Proof for 3453025784024011662315854
2. ! [X0] : (curious(X0) <=> kind(X0)) [input p1]
9. (~funny(mary) & brave(mary)) <=> ? [X0] : kind(X0) [input p8]
12. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (funny(X0) <~> brave(X0))) [input p11]
21. curious... | 0 |
Everyone who is quiet is tall or patient.
If someone is kind then lucy is strong or not tall.
Everyone who is either strong or tall is both wise and not rich.
If someone is not kind or strong then alice is either not strong or strong and vice versa.
Everyone who is not funny or not calm is both creative and calm and vi... | Susan is strong. | entailment | (![X]:(quiet(X)=>(tall(X)|patient(X))))&
((?[X]:(kind(X)))=>((strong(lucy)|~tall(lucy))))&
(![X]:((strong(X)<~>tall(X))=>(wise(X)&~rich(X))))&
((?[X]:((~kind(X)|strong(X))))<=>((~strong(alice)<~>strong(alice))))&
(![X]:((~funny(X)|~calm(X))<=>(creative(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~generous(X)<~>fun... | strong(susan) | [
"p4",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4691572293183371215263696
% SZS output start Proof for 4691572293183371215263696
5. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (calm(X0) & creative(X0))) [input p4]
9. ! [X0] : (~old(X0) <=> ~quiet(X0)) [input p8]
10. ? [X0] : old(X0) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p9]
12. ? [X... | 0 |
Everyone who is funny is both creative and not tall.
Everyone who is not patient or not quiet is both rich and calm and vice versa.
Everyone who is not calm or quiet is kind and vice versa.
Everyone who is humble is both generous and not old and vice versa.
If someone is both not kind and not generous then alice is not... | Mary is tall. | contradiction | (![X]:(funny(X)=>(creative(X)&~tall(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(rich(X)&calm(X))))&
(![X]:((~calm(X)|quiet(X))<=>kind(X)))&
(![X]:(humble(X)<=>(generous(X)&~old(X))))&
((?[X]:((~kind(X)&~generous(X))))=>((~curious(alice)|~brave(alice))))&
((happy(alice))=>((~curious(mary)<~>~happy(mary))))&
((?[X]:((~kind(... | tall(mary) | [
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2705865732707776388178072
% SZS output start Proof for 2705865732707776388178072
8. ! [X0] : (~tall(X0) <=> (brave(X0) | funny(X0))) [input p7]
9. ! [X0] : ((~brave(X0) | ~rich(X0)) => creative(X0)) [input p8]
15. ! [X0] : ((~generous(X0) | ~creative(X0)) <=> (brave(X0) | generous(X0))) [... | 0 |
If someone is either brave or old then lucy is both not creative and not kind.
Everyone who is humble is not tall.
Everyone who is either not kind or not brave is both not curious and not creative.
Everyone who is not kind or not humble is not generous or not brave.
Everyone who is not wise or wise is not generous.
Eve... | Alice is not generous. | entailment | ((?[X]:((brave(X)<~>old(X))))=>((~creative(lucy)&~kind(lucy))))&
(![X]:(humble(X)=>~tall(X)))&
(![X]:((~kind(X)<~>~brave(X))=>(~curious(X)&~creative(X))))&
(![X]:((~kind(X)|~humble(X))=>(~generous(X)|~brave(X))))&
(![X]:((~wise(X)|wise(X))=>~generous(X)))&
(![X]:((~generous(X)&quiet(X))<=>tall(X)))&
(![X]:((~quiet(X)&w... | ~generous(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3685637706386026418262914
% SZS output start Proof for 3685637706386026418262914
5. ! [X0] : ((wise(X0) | ~wise(X0)) => ~generous(X0)) [input p4]
24. generous(alice) [input hypothesis]
31. ! [X0] : (~generous(X0) | (~wise(X0) & wise(X0))) [ennf transformation 5]
76. ~generous(X0) | wise(X... | 0 |
If john is both happy and not funny then someone is not old or not tall and vice versa.
Everyone who is either not humble or funny is either not happy or not tall and vice versa.
If john is either not strong or not generous then fred is both humble and not creative.
If alice is either not kind or curious then alice is ... | Fred is funny. | neutral | (((happy(john)&~funny(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~humble(X)<~>funny(X))<=>(~happy(X)<~>~tall(X))))&
(((~strong(john)<~>~generous(john)))=>((humble(fred)&~creative(fred))))&
(((~kind(alice)<~>curious(alice)))=>(~calm(alice)))&
((rich(alice))<=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((wise(X)&~kind(X... | funny(fred) | [] | null | 0 |
Everyone who is both not curious and rich is either strong or not generous and vice versa. If someone is both rich and not calm then lucy is either strong or curious. If mary is not wise then someone is not tall or kind. Everyone who is not humble is tall or not happy. If someone is both strong and quiet then susan is ... | Fred is not humble. | neutral | (![X]:((~curious(X)&rich(X))<=>(strong(X)<~>~generous(X))))&
((?[X]:((rich(X)&~calm(X))))=>((strong(lucy)<~>curious(lucy))))&
((~wise(mary))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(~humble(X)=>(tall(X)|~happy(X))))&
((?[X]:((strong(X)&quiet(X))))<=>(happy(susan)))&
(![X]:(quiet(X)=>(~wise(X)|~rich(X))))&
(![X]:((~rich(X)... | ~humble(fred) | [] | null | 0 |
Everyone who is both not patient and patient is not creative. If someone is both old and funny then fred is both not kind and not old and vice versa. If fred is either not kind or strong then someone is either generous or tall. Everyone who is either not quiet or not curious is either quiet or curious. Everyone who is ... | Alice is not kind. | contradiction | (![X]:((~patient(X)&patient(X))=>~creative(X)))&
((?[X]:((old(X)&funny(X))))<=>((~kind(fred)&~old(fred))))&
(((~kind(fred)<~>strong(fred)))=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((~quiet(X)<~>~curious(X))=>(quiet(X)<~>curious(X))))&
(![X]:(old(X)<=>(~curious(X)&funny(X))))&
(![X]:(brave(X)=>(creative(X)|wise(X))))&... | ~kind(alice) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7791628467634256478873419
% SZS output start Proof for 7791628467634256478873419
9. ! [X0] : ((strong(X0) | ~quiet(X0)) => kind(X0)) [input p8]
17. kind(alice) | strong(alice) [input p16]
25. ~kind(alice) [input hypothesis]
35. ! [X0] : (kind(X0) | (~strong(X0) & quiet(X0))) [ennf transfo... | 0 |
Everyone who is either happy or generous is either generous or not generous. Everyone who is both patient and tall is rich or tall and vice versa. Everyone who is not happy or rich is not calm and vice versa. Everyone who is humble or not generous is both rich and not old and vice versa. Everyone who is both not calm a... | Fred is kind. | entailment | (![X]:((happy(X)<~>generous(X))=>(generous(X)<~>~generous(X))))&
(![X]:((patient(X)&tall(X))<=>(rich(X)|tall(X))))&
(![X]:((~happy(X)|rich(X))<=>~calm(X)))&
(![X]:((humble(X)|~generous(X))<=>(rich(X)&~old(X))))&
(![X]:((~calm(X)&~humble(X))=>(~funny(X)&~patient(X))))&
((?[X]:((creative(X)|~creative(X))))<=>(?[X]:((kind... | kind(fred) | [
"p1",
"p3",
"p7",
"p8",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8658902374901808687999665
% SZS output start Proof for 8658902374901808687999665
2. ! [X0] : ((tall(X0) & patient(X0)) <=> (tall(X0) | rich(X0))) [input p1]
4. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~old(X0) & rich(X0))) [input p3]
8. ! [X0] : (humble(X0) <=> (~creative(X0) <~> patie... | 0 |
Everyone who is brave or curious is both not patient and not quiet. If someone is both curious and calm then someone is not calm or not tall. Everyone who is generous or happy is quiet. If someone is both not rich and calm then mary is both not humble and calm and vice versa. If john is either generous or humble then a... | Alice is calm. | contradiction | (![X]:((brave(X)|curious(X))=>(~patient(X)&~quiet(X))))&
((?[X]:((curious(X)&calm(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((generous(X)|happy(X))=>quiet(X)))&
((?[X]:((~rich(X)&calm(X))))<=>((~humble(mary)&calm(mary))))&
(((generous(john)<~>humble(john)))<=>((~humble(alice)&calm(alice))))&
((calm(fred))=>(?[X]:((br... | calm(alice) | [
"p0",
"p2",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 530275329621355267186465
% SZS output start Proof for 530275329621355267186465
1. ! [X0] : ((curious(X0) | brave(X0)) => (~quiet(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((happy(X0) | generous(X0)) => quiet(X0)) [input p2]
5. (generous(john) <~> humble(john)) <=> (calm(alice) & ~humble... | 0 |
Everyone who is not tall is not curious and vice versa.
Everyone who is happy is both kind and curious.
Everyone who is both curious and not humble is not kind or not patient and vice versa.
Everyone who is both not wise and brave is either not wise or wise and vice versa.
Everyone who is happy or quiet is not funny an... | Paul is happy. | contradiction | (![X]:(~tall(X)<=>~curious(X)))&
(![X]:(happy(X)=>(kind(X)&curious(X))))&
(![X]:((curious(X)&~humble(X))<=>(~kind(X)|~patient(X))))&
(![X]:((~wise(X)&brave(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((happy(X)|quiet(X))<=>~funny(X)))&
(((~creative(john)&~brave(john)))<=>(?[X]:(humble(X))))&
(![X]:((~creative(X)&~strong(X))=>(... | happy(paul) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4795157356697256493457859
% SZS output start Proof for 4795157356697256493457859
2. ! [X0] : (happy(X0) => (curious(X0) & kind(X0))) [input p1]
3. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~patient(X0) | ~kind(X0))) [input p2]
4. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (~wise(X0) <~> wise(... | 0 |
Everyone who is both not creative and rich is patient or not brave and vice versa.
Everyone who is not happy or kind is either not wise or not generous.
If paul is both curious and not old then someone is wise or humble.
Everyone who is either wise or not rich is not funny or calm and vice versa.
If lucy is both genero... | Paul is not humble. | entailment | (![X]:((~creative(X)&rich(X))<=>(patient(X)|~brave(X))))&
(![X]:((~happy(X)|kind(X))=>(~wise(X)<~>~generous(X))))&
(((curious(paul)&~old(paul)))=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((wise(X)<~>~rich(X))<=>(~funny(X)|calm(X))))&
(((generous(lucy)&creative(lucy)))<=>(~funny(john)))&
((?[X]:(~funny(X)))=>(funny(alice)))... | ~humble(paul) | [
"p0",
"p8",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 880354211036687442646289
% SZS output start Proof for 880354211036687442646289
1. ! [X0] : ((rich(X0) & ~creative(X0)) <=> (~brave(X0) | patient(X0))) [input p0]
9. ! [X0] : ((strong(X0) | tall(X0)) => (~brave(X0) & happy(X0))) [input p8]
15. ? [X0] : (~kind(X0) | ~brave(X0)) => tall(paul... | 0 |
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