premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is both not kind and not happy then someone is wise. Everyone who is either not tall or not patient is either not curious or not old. If alice is either funny or brave then someone is not creative or generous and vice versa. If susan is calm or not patient then paul is both not curious and calm. Everyone who is... | Paul is patient. | neutral | (((~kind(mary)&~happy(mary)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)<~>~patient(X))=>(~curious(X)<~>~old(X))))&
(((funny(alice)<~>brave(alice)))<=>(?[X]:((~creative(X)|generous(X)))))&
(((calm(susan)|~patient(susan)))=>((~curious(paul)&calm(paul))))&
(![X]:((~wise(X)<~>calm(X))<=>~calm(X)))&
(((~wise(alice)<~>calm(alice)... | patient(paul) | [] | null | 0 |
Everyone who is either funny or old is either kind or tall and vice versa.
Everyone who is both not rich and brave is either patient or creative and vice versa.
If paul is not strong or not generous then susan is not creative.
If alice is either tall or not humble then susan is patient and vice versa.
Everyone who is n... | Paul is not old. | entailment | (![X]:((funny(X)<~>old(X))<=>(kind(X)<~>tall(X))))&
(![X]:((~rich(X)&brave(X))<=>(patient(X)<~>creative(X))))&
(((~strong(paul)|~generous(paul)))=>(~creative(susan)))&
(((tall(alice)<~>~humble(alice)))<=>(patient(susan)))&
(![X]:(~creative(X)=>quiet(X)))&
(((~calm(fred)|~curious(fred)))=>((~generous(john)|patient(john)... | ~old(paul) | [
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4108895016249524967398228
% SZS output start Proof for 4108895016249524967398228
8. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (wise(X0) & ~creative(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | ~strong(X0)) <=> ~humble(X0)) [input p9]
11. ! [X0] : ((~happy(X0) | ~generous(X0)) => ~old(... | 0 |
If someone is either not rich or not old then someone is not curious or kind. Everyone who is not brave is either not kind or not humble and vice versa. If lucy is both patient and not rich then someone is either calm or not wise and vice versa. Everyone who is curious or rich is not strong. If lucy is both humble and ... | Alice is tall. | entailment | ((?[X]:((~rich(X)<~>~old(X))))=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:(~brave(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(lucy)&~rich(lucy)))<=>(?[X]:((calm(X)<~>~wise(X)))))&
(![X]:((curious(X)|rich(X))=>~strong(X)))&
(((humble(lucy)&old(lucy)))<=>((kind(lucy)&humble(lucy))))&
(![X]:((funny(X)|~tall(X))=>funny(X)))&
(... | tall(alice) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8773380901630339076574797
% SZS output start Proof for 8773380901630339076574797
6. ! [X0] : ((~tall(X0) | funny(X0)) => funny(X0)) [input p5]
14. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (wise(X0) | ~tall(X0))) [input p13]
25. ~tall(alice) [input hypothesis]
31. ! [X0] : (funny(X0) | (tall... | 0 |
If mary is either not rich or creative then someone is either happy or not happy.
Everyone who is not quiet or wise is kind or not curious and vice versa.
Everyone who is not calm or not patient is not old and vice versa.
Everyone who is not quiet is either rich or not brave.
Everyone who is not rich or wise is generou... | Mary is quiet. | neutral | (((~rich(mary)<~>creative(mary)))=>(?[X]:((happy(X)<~>~happy(X)))))&
(![X]:((~quiet(X)|wise(X))<=>(kind(X)|~curious(X))))&
(![X]:((~calm(X)|~patient(X))<=>~old(X)))&
(![X]:(~quiet(X)=>(rich(X)<~>~brave(X))))&
(![X]:((~rich(X)|wise(X))<=>(generous(X)|~curious(X))))&
(![X]:(~strong(X)=>(~strong(X)&~old(X))))&
(![X]:((~ca... | quiet(mary) | [] | null | 0 |
If someone is both old and not patient then someone is both not quiet and not humble and vice versa.
If someone is both generous and funny then someone is patient and vice versa.
If alice is both creative and quiet then mary is not creative and vice versa.
If someone is funny or not brave then mary is either curious or... | Fred is not quiet. | contradiction | ((?[X]:((old(X)&~patient(X))))<=>(?[X]:((~quiet(X)&~humble(X)))))&
((?[X]:((generous(X)&funny(X))))<=>(?[X]:(patient(X))))&
(((creative(alice)&quiet(alice)))<=>(~creative(mary)))&
((?[X]:((funny(X)|~brave(X))))<=>((curious(mary)<~>~strong(mary))))&
((wise(john))<=>(?[X]:((~tall(X)&happy(X)))))&
(![X]:((~patient(X)<~>ha... | ~quiet(fred) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3537387628853342251219815
% SZS output start Proof for 3537387628853342251219815
7. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> (quiet(X0) & kind(X0))) [input p6]
22. ~funny(fred) & ~wise(fred) [input p21]
25. ~quiet(fred) [input hypothesis]
61. ! [X0] : (((~quiet(X0) & ~wise(X0)) | (~quiet(X0... | 0 |
Everyone who is either brave or not brave is not funny or not humble.
Everyone who is not old is strong and vice versa.
If paul is either not quiet or not creative then someone is funny or not tall and vice versa.
Everyone who is not creative is not curious.
If fred is humble then someone is not funny or not kind and v... | Paul is not patient. | entailment | (![X]:((brave(X)<~>~brave(X))=>(~funny(X)|~humble(X))))&
(![X]:(~old(X)<=>strong(X)))&
(((~quiet(paul)<~>~creative(paul)))<=>(?[X]:((funny(X)|~tall(X)))))&
(![X]:(~creative(X)=>~curious(X)))&
((humble(fred))<=>(?[X]:((~funny(X)|~kind(X)))))&
((?[X]:((~old(X)|calm(X))))=>((quiet(fred)&~happy(fred))))&
(![X]:((~strong(X)... | ~patient(paul) | [
"p0",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5430192295390131830117211
% SZS output start Proof for 5430192295390131830117211
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~humble(X0) | ~funny(X0))) [input p0]
5. humble(fred) <=> ? [X0] : (~kind(X0) | ~funny(X0)) [input p4]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => funny(X0)) [inpu... | 0 |
Everyone who is not curious is either humble or not calm. Everyone who is not rich is calm. Everyone who is either not wise or not humble is either kind or curious and vice versa. Everyone who is both rich and not wise is not quiet or happy and vice versa. If susan is not patient then someone is happy or calm. Everyone... | Mary is creative. | contradiction | (![X]:(~curious(X)=>(humble(X)<~>~calm(X))))&
(![X]:(~rich(X)=>calm(X)))&
(![X]:((~wise(X)<~>~humble(X))<=>(kind(X)<~>curious(X))))&
(![X]:((rich(X)&~wise(X))<=>(~quiet(X)|happy(X))))&
((~patient(susan))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:(~creative(X)=>(tall(X)|~quiet(X))))&
((?[X]:(wise(X)))<=>((patient(susan)&gene... | creative(mary) | [
"p0",
"p1",
"p3",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2676981910729972436387906
% SZS output start Proof for 2676981910729972436387906
1. ! [X0] : (~curious(X0) => (humble(X0) <~> ~calm(X0))) [input p0]
2. ! [X0] : (~rich(X0) => calm(X0)) [input p1]
4. ! [X0] : ((~wise(X0) & rich(X0)) <=> (happy(X0) | ~quiet(X0))) [input p3]
11. (~tall(alice... | 0 |
If someone is creative or wise then john is patient or creative and vice versa.
Everyone who is calm or not brave is brave.
If someone is quiet then john is not old and vice versa.
Everyone who is happy or generous is patient and vice versa.
Everyone who is either humble or not tall is either strong or not curious.
If ... | Alice is patient. | entailment | ((?[X]:((creative(X)|wise(X))))<=>((patient(john)|creative(john))))&
(![X]:((calm(X)|~brave(X))=>brave(X)))&
((?[X]:(quiet(X)))<=>(~old(john)))&
(![X]:((happy(X)|generous(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))=>(strong(X)<~>~curious(X))))&
((?[X]:((~kind(X)<~>brave(X))))=>(?[X]:((~wise(X)|~creative(X)))))&
(... | patient(alice) | [
"p3",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1974522269522645459704570
% SZS output start Proof for 1974522269522645459704570
4. ! [X0] : ((generous(X0) | happy(X0)) <=> patient(X0)) [input p3]
13. ! [X0] : ((generous(X0) | ~kind(X0)) => happy(X0)) [input p12]
19. kind(alice) <~> ~happy(alice) [input p18]
23. ~patient(alice) [input ... | 0 |
Everyone who is both happy and patient is both quiet and not curious and vice versa.
If alice is not happy or not humble then someone is both strong and not creative.
Everyone who is either humble or not kind is not brave or not funny and vice versa.
Everyone who is both not calm and not happy is not generous or not ri... | Mary is not funny. | neutral | (![X]:((happy(X)&patient(X))<=>(quiet(X)&~curious(X))))&
(((~happy(alice)|~humble(alice)))=>(?[X]:((strong(X)&~creative(X)))))&
(![X]:((humble(X)<~>~kind(X))<=>(~brave(X)|~funny(X))))&
(![X]:((~calm(X)&~happy(X))=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(![X]:(~quiet(X)<=>calm... | ~funny(mary) | [] | null | 0 |
Everyone who is humble or not tall is either happy or not tall. If someone is not old or kind then mary is not tall or happy and vice versa. Everyone who is both creative and happy is both not strong and not old and vice versa. Everyone who is funny or generous is either not happy or not curious. If john is both not ge... | Fred is funny. | entailment | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((~old(X)|kind(X))))<=>((~tall(mary)|happy(mary))))&
(![X]:((creative(X)&happy(X))<=>(~strong(X)&~old(X))))&
(![X]:((funny(X)|generous(X))=>(~happy(X)<~>~curious(X))))&
(((~generous(john)&creative(john)))=>(?[X]:((kind(X)|curious(X)))))&
(((~funny(fred)|~happ... | funny(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4877711440067080512261478
% SZS output start Proof for 4877711440067080512261478
20. funny(fred) [input p19]
25. ~funny(fred) [input hypothesis]
126. funny(fred) [cnf transformation 20]
133. ~funny(fred) [cnf transformation 25]
183. 12 <=> funny(fred) [avatar definition]
254. 12 [avatar s... | 0 |
If paul is not happy or not quiet then mary is not kind. Everyone who is either old or brave is either humble or not humble. If someone is both quiet and tall then someone is both not kind and generous and vice versa. Everyone who is either rich or funny is brave. Everyone who is not kind is creative. Everyone who is b... | Alice is quiet. | neutral | (((~happy(paul)|~quiet(paul)))=>(~kind(mary)))&
(![X]:((old(X)<~>brave(X))=>(humble(X)<~>~humble(X))))&
((?[X]:((quiet(X)&tall(X))))<=>(?[X]:((~kind(X)&generous(X)))))&
(![X]:((rich(X)<~>funny(X))=>brave(X)))&
(![X]:(~kind(X)=>creative(X)))&
(![X]:((~tall(X)&~kind(X))=>(~generous(X)<~>humble(X))))&
(![X]:((humble(X)|~b... | quiet(alice) | [] | null | 0 |
If mary is both funny and tall then lucy is both not humble and not calm and vice versa.
If susan is brave or not humble then john is both kind and not humble and vice versa.
If someone is both not quiet and not funny then someone is not funny or rich.
Everyone who is not creative is both not brave and strong.
If someo... | John is tall. | entailment | (((funny(mary)&tall(mary)))<=>((~humble(lucy)&~calm(lucy))))&
(((brave(susan)|~humble(susan)))<=>((kind(john)&~humble(john))))&
((?[X]:((~quiet(X)&~funny(X))))=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:(~creative(X)=>(~brave(X)&strong(X))))&
((?[X]:(funny(X)))=>(?[X]:((~curious(X)|~brave(X)))))&
(![X]:((~patient(X)|~old(X)... | tall(john) | [
"p7",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3064185053032121424232239
% SZS output start Proof for 3064185053032121424232239
8. ! [X0] : ((~tall(X0) & calm(X0)) => (tall(X0) | humble(X0))) [input p7]
11. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~generous(X0) | ~calm(X0))) [input p10]
13. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> quiet(... | 0 |
Everyone who is either creative or not happy is not funny.
If someone is both not patient and not creative then someone is either patient or curious.
If someone is not humble then paul is humble or rich.
If someone is not old then someone is strong and vice versa.
Everyone who is both calm and not tall is either kind o... | Paul is not curious. | neutral | (![X]:((creative(X)<~>~happy(X))=>~funny(X)))&
((?[X]:((~patient(X)&~creative(X))))=>(?[X]:((patient(X)<~>curious(X)))))&
((?[X]:(~humble(X)))=>((humble(paul)|rich(paul))))&
((?[X]:(~old(X)))<=>(?[X]:(strong(X))))&
(![X]:((calm(X)&~tall(X))=>(kind(X)<~>~brave(X))))&
(![X]:((creative(X)&~kind(X))<=>(humble(X)&~old(X))))... | ~curious(paul) | [] | null | 0 |
If someone is both kind and strong then john is either curious or generous and vice versa. Everyone who is either calm or kind is either not brave or rich. Everyone who is curious or quiet is either calm or creative. If someone is kind then someone is rich or creative and vice versa. If john is both not happy and not r... | Lucy is quiet. | neutral | ((?[X]:((kind(X)&strong(X))))<=>((curious(john)<~>generous(john))))&
(![X]:((calm(X)<~>kind(X))=>(~brave(X)<~>rich(X))))&
(![X]:((curious(X)|quiet(X))=>(calm(X)<~>creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|creative(X)))))&
(((~happy(john)&~rich(john)))<=>((generous(lucy)|tall(lucy))))&
(((~creative(fred)|creat... | quiet(lucy) | [] | null | 0 |
Everyone who is both quiet and tall is tall and vice versa.
Everyone who is wise or not tall is not wise or wise and vice versa.
Everyone who is both not rich and calm is either not strong or not funny.
Everyone who is both not humble and generous is brave and vice versa.
Everyone who is either calm or old is patient a... | John is not creative. | neutral | (![X]:((quiet(X)&tall(X))<=>tall(X)))&
(![X]:((wise(X)|~tall(X))<=>(~wise(X)|wise(X))))&
(![X]:((~rich(X)&calm(X))=>(~strong(X)<~>~funny(X))))&
(![X]:((~humble(X)&generous(X))<=>brave(X)))&
(![X]:((calm(X)<~>old(X))<=>patient(X)))&
(((~calm(lucy)<~>~curious(lucy)))=>(?[X]:((happy(X)<~>curious(X)))))&
(((~wise(john)<~>~... | ~creative(john) | [] | null | 0 |
If someone is not tall or not strong then someone is tall or strong.
If someone is either strong or rich then alice is both not creative and not funny.
Everyone who is old is rich.
Everyone who is brave is both not funny and not wise and vice versa.
If someone is both not humble and kind then john is not patient.
Every... | Fred is funny. | entailment | ((?[X]:((~tall(X)|~strong(X))))=>(?[X]:((tall(X)|strong(X)))))&
((?[X]:((strong(X)<~>rich(X))))=>((~creative(alice)&~funny(alice))))&
(![X]:(old(X)=>rich(X)))&
(![X]:(brave(X)<=>(~funny(X)&~wise(X))))&
((?[X]:((~humble(X)&kind(X))))=>(~patient(john)))&
(![X]:((~patient(X)|~funny(X))<=>(~humble(X)<~>~strong(X))))&
(![X]... | funny(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6833493553112492908205456
% SZS output start Proof for 6833493553112492908205456
10. ! [X0] : ((funny(X0) & ~rich(X0)) <=> (tall(X0) | ~funny(X0))) [input p9]
22. ~funny(fred) [input hypothesis]
48. ! [X0] : (((funny(X0) & ~rich(X0)) | (~tall(X0) & funny(X0))) & ((tall(X0) | ~funny(X0)) |... | 0 |
Everyone who is not tall or old is either not curious or not quiet.
Everyone who is both not wise and old is either funny or quiet.
Everyone who is calm or curious is both not strong and not patient.
Everyone who is not old or calm is both strong and funny.
Everyone who is not old is both not old and tall.
If someone i... | Lucy is calm. | contradiction | (![X]:((~tall(X)|old(X))=>(~curious(X)<~>~quiet(X))))&
(![X]:((~wise(X)&old(X))=>(funny(X)<~>quiet(X))))&
(![X]:((calm(X)|curious(X))=>(~strong(X)&~patient(X))))&
(![X]:((~old(X)|calm(X))=>(strong(X)&funny(X))))&
(![X]:(~old(X)=>(~old(X)&tall(X))))&
((?[X]:((~old(X)<~>happy(X))))=>(?[X]:(~wise(X))))&
(![X]:((quiet(X)&~... | calm(lucy) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4594298948472822121432612
% SZS output start Proof for 4594298948472822121432612
3. ! [X0] : ((curious(X0) | calm(X0)) => (~patient(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((calm(X0) | ~old(X0)) => (funny(X0) & strong(X0))) [input p3]
24. calm(lucy) [input hypothesis]
31. ! [X0] : ((~p... | 0 |
If someone is both not funny and not creative then someone is tall. Everyone who is not calm or not brave is happy and vice versa. Everyone who is either brave or not tall is either not rich or old and vice versa. Everyone who is tall is brave or calm and vice versa. Everyone who is either not funny or old is either ri... | Lucy is not rich. | neutral | ((?[X]:((~funny(X)&~creative(X))))=>(?[X]:(tall(X))))&
(![X]:((~calm(X)|~brave(X))<=>happy(X)))&
(![X]:((brave(X)<~>~tall(X))<=>(~rich(X)<~>old(X))))&
(![X]:(tall(X)<=>(brave(X)|calm(X))))&
(![X]:((~funny(X)<~>old(X))=>(rich(X)<~>~tall(X))))&
(![X]:((quiet(X)&~kind(X))=>~strong(X)))&
(((creative(susan)&~old(susan)))<=>... | ~rich(lucy) | [] | null | 0 |
If mary is not generous or not tall then john is old or patient. Everyone who is not brave is not brave or strong. Everyone who is wise is not old and vice versa. If someone is creative or not patient then someone is either rich or funny and vice versa. Everyone who is wise or patient is tall or creative and vice versa... | Susan is rich. | contradiction | (((~generous(mary)|~tall(mary)))=>((old(john)|patient(john))))&
(![X]:(~brave(X)=>(~brave(X)|strong(X))))&
(![X]:(wise(X)<=>~old(X)))&
((?[X]:((creative(X)|~patient(X))))<=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((wise(X)|patient(X))<=>(tall(X)|creative(X))))&
(![X]:((humble(X)<~>~creative(X))=>old(X)))&
(![X]:((tall(X)... | rich(susan) | [
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2413962013554321839263164
% SZS output start Proof for 2413962013554321839263164
10. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (kind(X0) | funny(X0))) [input p9]
14. ! [X0] : ((kind(X0) | wise(X0)) => ~rich(X0)) [input p13]
15. ! [X0] : ((~patient(X0) & ~tall(X0)) <=> (patient(X0) <~> cur... | 0 |
Everyone who is either generous or not humble is both rich and strong and vice versa. Everyone who is not funny or generous is both strong and not quiet and vice versa. If susan is not funny then someone is not quiet or old and vice versa. Everyone who is not brave is either not happy or patient and vice versa. If some... | Mary is not patient. | neutral | (![X]:((generous(X)<~>~humble(X))<=>(rich(X)&strong(X))))&
(![X]:((~funny(X)|generous(X))<=>(strong(X)&~quiet(X))))&
((~funny(susan))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:(~brave(X)<=>(~happy(X)<~>patient(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(~patient(fred)))&
(![X]:(~calm(X)<=>(curious(X)&~wise(X))))&
(((~wise... | ~patient(mary) | [] | null | 0 |
Everyone who is both happy and not tall is either kind or not strong.
Everyone who is rich is not happy and vice versa.
If someone is not rich then someone is both creative and not calm.
If alice is patient then alice is both rich and not quiet.
Everyone who is not quiet is either strong or not calm and vice versa.
Eve... | Alice is humble. | contradiction | (![X]:((happy(X)&~tall(X))=>(kind(X)<~>~strong(X))))&
(![X]:(rich(X)<=>~happy(X)))&
((?[X]:(~rich(X)))=>(?[X]:((creative(X)&~calm(X)))))&
((patient(alice))=>((rich(alice)&~quiet(alice))))&
(![X]:(~quiet(X)<=>(strong(X)<~>~calm(X))))&
(![X]:((tall(X)&~creative(X))<=>(calm(X)|~happy(X))))&
((?[X]:((~strong(X)|funny(X))))... | humble(alice) | [
"p5",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7206619239159290898510590
% SZS output start Proof for 7206619239159290898510590
6. ! [X0] : ((~creative(X0) & tall(X0)) <=> (~happy(X0) | calm(X0))) [input p5]
20. creative(alice) [input p19]
23. humble(alice) <~> happy(alice) [input p22]
25. humble(alice) [input hypothesis]
49. ! [X0] :... | 0 |
Everyone who is brave is creative.
Everyone who is wise is quiet or old.
If someone is kind then someone is not old or not kind and vice versa.
Everyone who is either not calm or kind is calm or old.
Everyone who is both quiet and not humble is not tall and vice versa.
Everyone who is not old or patient is happy or not... | Alice is strong. | entailment | (![X]:(brave(X)=>creative(X)))&
(![X]:(wise(X)=>(quiet(X)|old(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((~calm(X)<~>kind(X))=>(calm(X)|old(X))))&
(![X]:((quiet(X)&~humble(X))<=>~tall(X)))&
(![X]:((~old(X)|patient(X))=>(happy(X)|~curious(X))))&
(((tall(lucy)|old(lucy)))=>((humble(mary)|~quiet(mary)... | strong(alice) | [
"p3",
"p5",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5289747555345897165977397
% SZS output start Proof for 5289747555345897165977397
4. ! [X0] : ((~calm(X0) <~> kind(X0)) => (old(X0) | calm(X0))) [input p3]
6. ! [X0] : ((patient(X0) | ~old(X0)) => (~curious(X0) | happy(X0))) [input p5]
9. ! [X0] : ((~old(X0) <~> kind(X0)) <=> ~strong(X0)) ... | 0 |
If lucy is kind then someone is not funny or not curious.
If someone is either old or rich then fred is old or brave and vice versa.
If someone is not funny then someone is either not calm or tall.
Everyone who is either generous or not strong is not wise or not funny and vice versa.
If someone is both strong and creat... | Paul is not happy. | neutral | ((kind(lucy))=>(?[X]:((~funny(X)|~curious(X)))))&
((?[X]:((old(X)<~>rich(X))))<=>((old(fred)|brave(fred))))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((generous(X)<~>~strong(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((strong(X)&creative(X))))<=>(~calm(fred)))&
((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~ki... | ~happy(paul) | [] | null | 0 |
Everyone who is creative is not humble and vice versa.
Everyone who is both humble and not calm is not rich and vice versa.
If someone is wise then mary is both generous and curious and vice versa.
Everyone who is both happy and not creative is both not happy and not quiet.
If someone is either not brave or not rich th... | Mary is not calm. | entailment | (![X]:(creative(X)<=>~humble(X)))&
(![X]:((humble(X)&~calm(X))<=>~rich(X)))&
((?[X]:(wise(X)))<=>((generous(mary)&curious(mary))))&
(![X]:((happy(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(?[X]:((brave(X)<~>old(X)))))&
(((calm(fred)<~>~wise(fred)))=>((quiet(lucy)|brave(lucy))))&
(![X... | ~calm(mary) | [
"p1",
"p2",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1152657416873270452635707
% SZS output start Proof for 1152657416873270452635707
2. ! [X0] : ((~calm(X0) & humble(X0)) <=> ~rich(X0)) [input p1]
3. ? [X0] : wise(X0) <=> (curious(mary) & generous(mary)) [input p2]
11. generous(mary) <=> ? [X0] : (wise(X0) <~> ~wise(X0)) [input p10]
12. ! ... | 0 |
Everyone who is not strong or happy is humble and vice versa. Everyone who is both strong and not kind is not tall or not wise and vice versa. If someone is not tall then alice is both happy and not patient and vice versa. If someone is both not quiet and not rich then someone is not kind or not humble and vice versa. ... | Alice is not kind. | neutral | (![X]:((~strong(X)|happy(X))<=>humble(X)))&
(![X]:((strong(X)&~kind(X))<=>(~tall(X)|~wise(X))))&
((?[X]:(~tall(X)))<=>((happy(alice)&~patient(alice))))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:((~kind(X)|~humble(X)))))&
(![X]:((strong(X)<~>~happy(X))<=>(strong(X)|kind(X))))&
((?[X]:((~generous(X)&humble(X))))=>(?[X]:((~... | ~kind(alice) | [] | null | 0 |
Everyone who is both not old and generous is not curious or funny and vice versa. If paul is not happy then someone is wise or humble and vice versa. Everyone who is quiet or curious is both not curious and brave. If someone is not curious or not rich then mary is not patient. Everyone who is either old or calm is wise... | Mary is not happy. | neutral | (![X]:((~old(X)&generous(X))<=>(~curious(X)|funny(X))))&
((~happy(paul))<=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((quiet(X)|curious(X))=>(~curious(X)&brave(X))))&
((?[X]:((~curious(X)|~rich(X))))=>(~patient(mary)))&
(![X]:((old(X)<~>calm(X))<=>wise(X)))&
((?[X]:((patient(X)|happy(X))))=>(?[X]:((~curious(X)<~>brave(X))))... | ~happy(mary) | [] | null | 0 |
If fred is both wise and curious then susan is both not wise and curious.
Everyone who is not tall or rich is both not old and humble and vice versa.
If susan is both not wise and not funny then lucy is not wise and vice versa.
If susan is both generous and patient then someone is not brave or not tall.
If fred is humb... | Alice is not patient. | neutral | (((wise(fred)&curious(fred)))=>((~wise(susan)&curious(susan))))&
(![X]:((~tall(X)|rich(X))<=>(~old(X)&humble(X))))&
(((~wise(susan)&~funny(susan)))<=>(~wise(lucy)))&
(((generous(susan)&patient(susan)))=>(?[X]:((~brave(X)|~tall(X)))))&
(((humble(fred)|~old(fred)))<=>((calm(mary)|~tall(mary))))&
((?[X]:(~generous(X)))<=>... | ~patient(alice) | [] | null | 0 |
If john is calm or generous then someone is not happy. Everyone who is both not wise and calm is old. If alice is both not tall and creative then fred is either not funny or not kind and vice versa. If fred is old or not strong then someone is old or kind and vice versa. Everyone who is both not creative and happy is b... | Paul is wise. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~tall(alice)&creative(alice)))<=>((~funny(fred)<~>~kind(fred))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(X))))&
(((brave(alice)&~funny(alice)))<=>(?[X]:(... | wise(paul) | [
"p4",
"p6",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4645567706935730517268743
% SZS output start Proof for 4645567706935730517268743
5. ! [X0] : ((happy(X0) & ~creative(X0)) => (~generous(X0) & patient(X0))) [input p4]
7. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> (~stro... | 0 |
Everyone who is tall or happy is not quiet.
If john is not tall then someone is not kind or quiet.
If someone is kind then someone is not happy.
Everyone who is either patient or old is both not tall and not old.
If paul is both brave and happy then john is either not kind or not generous and vice versa.
If paul is not... | Lucy is patient. | contradiction | (![X]:((tall(X)|happy(X))=>~quiet(X)))&
((~tall(john))=>(?[X]:((~kind(X)|quiet(X)))))&
((?[X]:(kind(X)))=>(?[X]:(~happy(X))))&
(![X]:((patient(X)<~>old(X))=>(~tall(X)&~old(X))))&
(((brave(paul)&happy(paul)))<=>((~kind(john)<~>~generous(john))))&
(((~creative(paul)|rich(paul)))<=>((wise(john)|curious(john))))&
(![X]:((c... | patient(lucy) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3381665694036873044807562
% SZS output start Proof for 3381665694036873044807562
8. ! [X0] : ((~happy(X0) & happy(X0)) <=> ~wise(X0)) [input p7]
13. ! [X0] : ((rich(X0) | ~patient(X0)) <=> (~wise(X0) | ~rich(X0))) [input p12]
24. patient(lucy) [input hypothesis]
51. ! [X0] : (((~happy(X0)... | 0 |
Everyone who is not creative is tall or not quiet. Everyone who is not creative or not rich is not curious or not funny and vice versa. Everyone who is not funny is funny or not generous and vice versa. Everyone who is rich is either not strong or kind. If mary is not old or wise then alice is creative. If susan is eit... | Alice is not tall. | neutral | (![X]:(~creative(X)=>(tall(X)|~quiet(X))))&
(![X]:((~creative(X)|~rich(X))<=>(~curious(X)|~funny(X))))&
(![X]:(~funny(X)<=>(funny(X)|~generous(X))))&
(![X]:(rich(X)=>(~strong(X)<~>kind(X))))&
(((~old(mary)|wise(mary)))=>(creative(alice)))&
(((calm(susan)<~>patient(susan)))<=>(?[X]:(~patient(X))))&
((?[X]:((~tall(X)<~>r... | ~tall(alice) | [] | null | 0 |
Everyone who is not generous or quiet is happy or not rich and vice versa.
If alice is not old then susan is both creative and not happy.
If fred is not old or funny then fred is not patient and vice versa.
If someone is both generous and patient then someone is both quiet and rich.
Everyone who is not strong or not ki... | Alice is brave. | neutral | (![X]:((~generous(X)|quiet(X))<=>(happy(X)|~rich(X))))&
((~old(alice))=>((creative(susan)&~happy(susan))))&
(((~old(fred)|funny(fred)))<=>(~patient(fred)))&
((?[X]:((generous(X)&patient(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(![X]:((~strong(X)|~kind(X))<=>(~calm(X)&tall(X))))&
(![X]:((~rich(X)<~>curious(X))=>(curious(X)&... | brave(alice) | [] | null | 0 |
If someone is both not tall and not creative then alice is both tall and not old. If someone is old or not brave then susan is not rich and vice versa. If someone is both wise and kind then someone is not happy and vice versa. Everyone who is not funny is not creative and vice versa. If someone is either brave or stron... | Fred is tall. | contradiction | ((?[X]:((~tall(X)&~creative(X))))=>((tall(alice)&~old(alice))))&
((?[X]:((old(X)|~brave(X))))<=>(~rich(susan)))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:(~happy(X))))&
(![X]:(~funny(X)<=>~creative(X)))&
((?[X]:((brave(X)<~>strong(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((?[X]:((rich(X)|~rich(X))))=>((~funny(john)|funny(jo... | tall(fred) | [
"p7",
"p8",
"p9",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2957024471148816449410170
% SZS output start Proof for 2957024471148816449410170
8. ! [X0] : (~strong(X0) <=> funny(X0)) [input p7]
9. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> (humble(X0) <~> strong(X0))) [input p8]
10. ! [X0] : ((humble(X0) | patient(X0)) => (~humble(X0) | ~funny(X0))... | 0 |
Everyone who is not curious or not quiet is both not generous and kind.
Everyone who is either not funny or not wise is rich.
Everyone who is patient is either happy or not funny and vice versa.
If susan is not happy or not creative then someone is either calm or kind.
If susan is patient or curious then alice is not f... | Lucy is not patient. | entailment | (![X]:((~curious(X)|~quiet(X))=>(~generous(X)&kind(X))))&
(![X]:((~funny(X)<~>~wise(X))=>rich(X)))&
(![X]:(patient(X)<=>(happy(X)<~>~funny(X))))&
(((~happy(susan)|~creative(susan)))=>(?[X]:((calm(X)<~>kind(X)))))&
(((patient(susan)|curious(susan)))=>((~funny(alice)|~humble(alice))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(... | ~patient(lucy) | [
"p1",
"p2",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4649179215038305999183694
% SZS output start Proof for 4649179215038305999183694
2. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => rich(X0)) [input p1]
3. ! [X0] : (patient(X0) <=> (happy(X0) <~> ~funny(X0))) [input p2]
6. ? [X0] : (~rich(X0) <~> ~wise(X0)) <=> ~wise(lucy) [input p5]
8. ! [X0] :... | 0 |
Everyone who is either tall or quiet is either wise or not creative and vice versa.
Everyone who is either old or strong is strong and vice versa.
Everyone who is not curious or not creative is patient or not generous and vice versa.
Everyone who is rich or patient is not funny.
Everyone who is both not wise and not ge... | Mary is not funny. | entailment | (![X]:((tall(X)<~>quiet(X))<=>(wise(X)<~>~creative(X))))&
(![X]:((old(X)<~>strong(X))<=>strong(X)))&
(![X]:((~curious(X)|~creative(X))<=>(patient(X)|~generous(X))))&
(![X]:((rich(X)|patient(X))=>~funny(X)))&
(![X]:((~wise(X)&~generous(X))<=>funny(X)))&
(![X]:((~rich(X)<~>humble(X))=>(~tall(X)&quiet(X))))&
((?[X]:((crea... | ~funny(mary) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4408883142448567060453223
% SZS output start Proof for 4408883142448567060453223
5. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> funny(X0)) [input p4]
11. ! [X0] : ((~brave(X0) & generous(X0)) <=> (calm(X0) | funny(X0))) [input p10]
24. funny(mary) [input hypothesis]
39. ! [X0] : (((~generou... | 0 |
Everyone who is generous is tall or happy and vice versa.
If someone is curious or not rich then fred is both kind and not funny.
Everyone who is not tall is not calm.
Everyone who is not quiet or rich is brave or not strong.
Everyone who is rich or not happy is either strong or generous and vice versa.
If mary is stro... | John is happy. | entailment | (![X]:(generous(X)<=>(tall(X)|happy(X))))&
((?[X]:((curious(X)|~rich(X))))=>((kind(fred)&~funny(fred))))&
(![X]:(~tall(X)=>~calm(X)))&
(![X]:((~quiet(X)|rich(X))=>(brave(X)|~strong(X))))&
(![X]:((rich(X)|~happy(X))<=>(strong(X)<~>generous(X))))&
(((strong(mary)|curious(mary)))<=>((creative(john)|~tall(john))))&
(![X]:(... | happy(john) | [
"p0",
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4802841576473339961746881
% SZS output start Proof for 4802841576473339961746881
1. ! [X0] : (generous(X0) <=> (happy(X0) | tall(X0))) [input p0]
5. ! [X0] : ((~happy(X0) | rich(X0)) <=> (strong(X0) <~> generous(X0))) [input p4]
7. ! [X0] : ((old(X0) | ~happy(X0)) => tall(X0)) [input p6]
... | 0 |
Everyone who is not patient is curious.
If lucy is either not old or calm then lucy is not kind and vice versa.
Everyone who is not calm or curious is both curious and wise and vice versa.
Everyone who is not quiet or humble is not old and vice versa.
Everyone who is not calm is humble.
If alice is brave or not generou... | John is not patient. | contradiction | (![X]:(~patient(X)=>curious(X)))&
(((~old(lucy)<~>calm(lucy)))<=>(~kind(lucy)))&
(![X]:((~calm(X)|curious(X))<=>(curious(X)&wise(X))))&
(![X]:((~quiet(X)|humble(X))<=>~old(X)))&
(![X]:(~calm(X)=>humble(X)))&
(((brave(alice)|~generous(alice)))=>((~funny(alice)<~>~strong(alice))))&
(((happy(fred)&strong(fred)))<=>(?[X]:(... | ~patient(john) | [
"p0",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1683417213551106237406916
% SZS output start Proof for 1683417213551106237406916
1. ! [X0] : (~patient(X0) => curious(X0)) [input p0]
20. humble(john) & ~curious(john) [input p19]
25. ~patient(john) [input hypothesis]
28. ! [X0] : (curious(X0) | patient(X0)) [ennf transformation 1]
81. cu... | 0 |
If someone is both old and funny then alice is both strong and not curious.
If lucy is both not calm and not patient then someone is both creative and not old and vice versa.
Everyone who is kind or tall is both not tall and old and vice versa.
Everyone who is quiet is both calm and not funny.
If john is either calm or... | Mary is calm. | entailment | ((?[X]:((old(X)&funny(X))))=>((strong(alice)&~curious(alice))))&
(((~calm(lucy)&~patient(lucy)))<=>(?[X]:((creative(X)&~old(X)))))&
(![X]:((kind(X)|tall(X))<=>(~tall(X)&old(X))))&
(![X]:(quiet(X)=>(calm(X)&~funny(X))))&
(((calm(john)<~>~happy(john)))=>(?[X]:((humble(X)&creative(X)))))&
(![X]:(~happy(X)<=>(~old(X)<~>fun... | calm(mary) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4023959202367012278410630
% SZS output start Proof for 4023959202367012278410630
1. ? [X0] : (funny(X0) & old(X0)) => (~curious(alice) & strong(alice)) [input p0]
3. ! [X0] : ((tall(X0) | kind(X0)) <=> (old(X0) & ~tall(X0))) [input p2]
4. ! [X0] : (quiet(X0) => (~funny(X0) & calm(X0))) [i... | 0 |
If lucy is strong then someone is funny and vice versa.
Everyone who is both tall and not wise is both not wise and not quiet.
If someone is kind then paul is either not funny or rich.
Everyone who is either not funny or calm is old or not rich and vice versa.
If fred is rich or not wise then susan is either tall or no... | Mary is not quiet. | entailment | ((strong(lucy))<=>(?[X]:(funny(X))))&
(![X]:((tall(X)&~wise(X))=>(~wise(X)&~quiet(X))))&
((?[X]:(kind(X)))=>((~funny(paul)<~>rich(paul))))&
(![X]:((~funny(X)<~>calm(X))<=>(old(X)|~rich(X))))&
(((rich(fred)|~wise(fred)))=>((tall(susan)<~>~curious(susan))))&
(![X]:(humble(X)<=>(humble(X)<~>~funny(X))))&
((?[X]:(funny(X))... | ~quiet(mary) | [
"p14",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1066318176472422259122462
% SZS output start Proof for 1066318176472422259122462
15. (tall(mary) | happy(mary)) <=> ~happy(susan) [input p14]
16. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~quiet(X0)) [input p15]
18. ~tall(mary) [input p17]
23. quiet(susan) [input p22]
24. quiet(mary) [input h... | 0 |
Everyone who is both not wise and generous is either not generous or not old.
If someone is tall or funny then paul is humble or happy.
Everyone who is not wise or wise is both not tall and curious.
If someone is either tall or not strong then alice is not patient.
If someone is quiet then someone is kind and vice vers... | Fred is not humble. | neutral | (![X]:((~wise(X)&generous(X))=>(~generous(X)<~>~old(X))))&
((?[X]:((tall(X)|funny(X))))=>((humble(paul)|happy(paul))))&
(![X]:((~wise(X)|wise(X))=>(~tall(X)&curious(X))))&
((?[X]:((tall(X)<~>~strong(X))))=>(~patient(alice)))&
((?[X]:(quiet(X)))<=>(?[X]:(kind(X))))&
((patient(john))<=>((rich(fred)|quiet(fred))))&
(![X]:... | ~humble(fred) | [] | null | 0 |
If someone is generous then someone is both rich and funny.
Everyone who is both rich and not generous is brave.
If someone is quiet or brave then someone is either not strong or happy.
Everyone who is either old or humble is both old and not wise.
If john is both curious and patient then fred is not strong and vice ve... | Fred is not strong. | contradiction | ((?[X]:(generous(X)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((rich(X)&~generous(X))=>brave(X)))&
((?[X]:((quiet(X)|brave(X))))=>(?[X]:((~strong(X)<~>happy(X)))))&
(![X]:((old(X)<~>humble(X))=>(old(X)&~wise(X))))&
(((curious(john)&patient(john)))<=>(~strong(fred)))&
(((~kind(mary)|~humble(mary)))<=>(?[X]:((rich(X)|genero... | ~strong(fred) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3549065829693543474276925
% SZS output start Proof for 3549065829693543474276925
5. (patient(john) & curious(john)) <=> ~strong(fred) [input p4]
10. ! [X0] : ((~curious(X0) | ~creative(X0)) <=> (~patient(X0) <~> creative(X0))) [input p9]
24. ~strong(fred) [input hypothesis]
49. ((patient(... | 0 |
Everyone who is either not kind or not calm is not happy. If alice is both not happy and not kind then someone is not wise or not generous. Everyone who is not tall or tall is not patient or not generous. Everyone who is not patient or not happy is either not rich or wise and vice versa. Everyone who is either not pati... | Fred is not wise. | contradiction | (![X]:((~kind(X)<~>~calm(X))=>~happy(X)))&
(((~happy(alice)&~kind(alice)))=>(?[X]:((~wise(X)|~generous(X)))))&
(![X]:((~tall(X)|tall(X))=>(~patient(X)|~generous(X))))&
(![X]:((~patient(X)|~happy(X))<=>(~rich(X)<~>wise(X))))&
(![X]:((~patient(X)<~>funny(X))=>(~funny(X)&~brave(X))))&
(![X]:((tall(X)<~>happy(X))=>(rich(X)... | ~wise(fred) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p9",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2739963262791908813992789
% SZS output start Proof for 2739963262791908813992789
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) => ~happy(X0)) [input p0]
4. ! [X0] : ((~happy(X0) | ~patient(X0)) <=> (~rich(X0) <~> wise(X0))) [input p3]
5. ! [X0] : ((~patient(X0) <~> funny(X0)) => (~brave(X0) & ~f... | 0 |
If mary is tall or not generous then susan is both not wise and not generous. If paul is both not creative and not strong then someone is not brave and vice versa. If fred is both not tall and calm then someone is both creative and not quiet. Everyone who is not quiet is not tall. Everyone who is quiet is brave or not ... | Fred is generous. | contradiction | (((tall(mary)|~generous(mary)))=>((~wise(susan)&~generous(susan))))&
(((~creative(paul)&~strong(paul)))<=>(?[X]:(~brave(X))))&
(((~tall(fred)&calm(fred)))=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:(~quiet(X)=>~tall(X)))&
(![X]:(quiet(X)=>(brave(X)|~quiet(X))))&
((tall(lucy))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((c... | generous(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4781853165464809054700486
% SZS output start Proof for 4781853165464809054700486
11. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=> ~calm(X0)) [input p10]
25. generous(fred) [input hypothesis]
58. ! [X0] : ((((calm(X0) | ~generous(X0)) & (~calm(X0) | generous(X0))) | calm(X0)) & (~calm(X0) | ... | 0 |
Everyone who is both brave and not happy is both not generous and not happy and vice versa.
Everyone who is generous or patient is both patient and generous and vice versa.
Everyone who is not kind is old and vice versa.
Everyone who is both not humble and patient is kind.
If susan is either happy or generous then mary... | Lucy is not patient. | entailment | (![X]:((brave(X)&~happy(X))<=>(~generous(X)&~happy(X))))&
(![X]:((generous(X)|patient(X))<=>(patient(X)&generous(X))))&
(![X]:(~kind(X)<=>old(X)))&
(![X]:((~humble(X)&patient(X))=>kind(X)))&
(((happy(susan)<~>generous(susan)))<=>((~strong(mary)<~>~calm(mary))))&
(![X]:((~funny(X)|~brave(X))<=>~funny(X)))&
(((calm(lucy)... | ~patient(lucy) | [
"p2",
"p3",
"p7",
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3258466377691412143611170
% SZS output start Proof for 3258466377691412143611170
3. ! [X0] : (~kind(X0) <=> old(X0)) [input p2]
4. ! [X0] : ((patient(X0) & ~humble(X0)) => kind(X0)) [input p3]
8. ! [X0] : ((humble(X0) & ~tall(X0)) <=> ~rich(X0)) [input p7]
10. ! [X0] : ((rich(X0) <~> old(... | 0 |
If someone is either creative or not brave then someone is not strong or not brave. Everyone who is old or strong is humble and vice versa. Everyone who is not rich or brave is either generous or quiet. Everyone who is calm or not patient is both happy and old. If someone is not humble or generous then someone is not g... | Fred is not funny. | neutral | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((old(X)|strong(X))<=>humble(X)))&
(![X]:((~rich(X)|brave(X))=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)|~patient(X))=>(happy(X)&old(X))))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:(~generous(X))))&
(((creative(paul)|~patient(paul)))<=>(?[... | ~funny(fred) | [] | null | 0 |
Everyone who is humble or not tall is either happy or not tall. If someone is not old or funny then someone is brave or patient and vice versa. Everyone who is not old or not wise is either generous or brave and vice versa. Everyone who is either kind or generous is not funny or not kind. Everyone who is patient or bra... | Paul is creative. | entailment | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((~old(X)|~wise(X))<=>(generous(X)<~>brave(X))))&
(![X]:((kind(X)<~>generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~... | creative(paul) | [
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 649844053355530338294517
% SZS output start Proof for 649844053355530338294517
8. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~creative(X0)) [input p7]
9. ! [X0] : ((tall(X0) & ~creative(X0)) => (happy(X0) & wise(X0))) [input p8]
14. ! [X0] : ((~creative(X0) | kind(X0)) => (~tall(X0) & tall... | 0 |
If mary is either brave or funny then someone is funny and vice versa.
If someone is quiet or not happy then someone is curious and vice versa.
Everyone who is both quiet and not old is either humble or not quiet and vice versa.
If someone is both rich and not curious then paul is both not wise and quiet.
Everyone who ... | Lucy is funny. | neutral | (((brave(mary)<~>funny(mary)))<=>(?[X]:(funny(X))))&
((?[X]:((quiet(X)|~happy(X))))<=>(?[X]:(curious(X))))&
(![X]:((quiet(X)&~old(X))<=>(humble(X)<~>~quiet(X))))&
((?[X]:((rich(X)&~curious(X))))=>((~wise(paul)&quiet(paul))))&
(![X]:((~old(X)&~rich(X))<=>(happy(X)|~curious(X))))&
(![X]:((brave(X)|calm(X))=>(~old(X)&humb... | funny(lucy) | [] | null | 0 |
If someone is both not humble and kind then fred is rich or not kind and vice versa.
If someone is not curious then fred is kind and vice versa.
Everyone who is tall or curious is not brave and vice versa.
Everyone who is not quiet or not strong is not curious or not funny and vice versa.
If lucy is either not old or r... | Fred is not wise. | contradiction | ((?[X]:((~humble(X)&kind(X))))<=>((rich(fred)|~kind(fred))))&
((?[X]:(~curious(X)))<=>(kind(fred)))&
(![X]:((tall(X)|curious(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~curious(X)|~funny(X))))&
(((~old(lucy)<~>rich(lucy)))=>(?[X]:((~strong(X)&~rich(X)))))&
(((~creative(lucy)|~tall(lucy)))<=>(?[X]:((rich(X)<~>w... | ~wise(fred) | [
"p1",
"p2",
"p8",
"p9",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6944713115088122576165222
% SZS output start Proof for 6944713115088122576165222
2. ? [X0] : ~curious(X0) <=> kind(fred) [input p1]
3. ! [X0] : ((curious(X0) | tall(X0)) <=> ~brave(X0)) [input p2]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (creative(X0) <~> kind(X0))) [input p8]
10. ! [... | 0 |
If alice is either wise or not patient then someone is either not patient or not humble and vice versa. Everyone who is not strong is both not kind and creative and vice versa. Everyone who is creative is not creative or happy. Everyone who is both wise and not wise is curious or not old and vice versa. Everyone who is... | Alice is not kind. | contradiction | (((wise(alice)<~>~patient(alice)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:(~strong(X)<=>(~kind(X)&creative(X))))&
(![X]:(creative(X)=>(~creative(X)|happy(X))))&
(![X]:((wise(X)&~wise(X))<=>(curious(X)|~old(X))))&
(![X]:((~curious(X)&generous(X))<=>strong(X)))&
(![X]:((kind(X)<~>generous(X))=>(~happy(X)<~>~old(X)... | ~kind(alice) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 889988696459790793810555
% SZS output start Proof for 889988696459790793810555
1. (wise(alice) <~> ~patient(alice)) <=> ? [X0] : (~patient(X0) <~> ~humble(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> (creative(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((~wise(X0) & wise(X0)) <=> (~old(X0) ... | 0 |
If mary is creative or kind then paul is old.
If lucy is old or not humble then lucy is not rich.
Everyone who is both old and not generous is tall.
Everyone who is not patient or not funny is not brave or not happy and vice versa.
If paul is not old or funny then someone is not wise and vice versa.
Everyone who is not... | Mary is not wise. | neutral | (((creative(mary)|kind(mary)))=>(old(paul)))&
(((old(lucy)|~humble(lucy)))=>(~rich(lucy)))&
(![X]:((old(X)&~generous(X))=>tall(X)))&
(![X]:((~patient(X)|~funny(X))<=>(~brave(X)|~happy(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X]:((humble(X)<~>~curious(X))... | ~wise(mary) | [] | null | 0 |
If paul is either tall or curious then fred is either wise or not generous. Everyone who is either rich or not quiet is both curious and not calm and vice versa. Everyone who is either funny or not calm is both patient and not old. Everyone who is happy is not funny and vice versa. Everyone who is both not generous and... | Paul is tall. | neutral | (((tall(paul)<~>curious(paul)))=>((wise(fred)<~>~generous(fred))))&
(![X]:((rich(X)<~>~quiet(X))<=>(curious(X)&~calm(X))))&
(![X]:((funny(X)<~>~calm(X))=>(patient(X)&~old(X))))&
(![X]:(happy(X)<=>~funny(X)))&
(![X]:((~generous(X)&quiet(X))<=>(calm(X)|~wise(X))))&
((?[X]:((~humble(X)&strong(X))))=>(~creative(susan)))&
(... | tall(paul) | [] | null | 0 |
Everyone who is not kind or not patient is both not brave and generous.
If lucy is not wise or curious then alice is either not calm or not patient and vice versa.
If someone is not wise or quiet then someone is strong and vice versa.
Everyone who is either not kind or not brave is either not happy or rich and vice ver... | Paul is tall. | neutral | (![X]:((~kind(X)|~patient(X))=>(~brave(X)&generous(X))))&
(((~wise(lucy)|curious(lucy)))<=>((~calm(alice)<~>~patient(alice))))&
((?[X]:((~wise(X)|quiet(X))))<=>(?[X]:(strong(X))))&
(![X]:((~kind(X)<~>~brave(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((happy(X)&quiet(X))<=>~quiet(X)))&
(![X]:(~strong(X)<=>(happy(X)&calm(X))))... | tall(paul) | [] | null | 0 |
If john is not tall or not generous then lucy is kind or not rich and vice versa.
If someone is tall or curious then someone is curious.
Everyone who is either not rich or not creative is either calm or not quiet and vice versa.
Everyone who is not humble is both patient and rich.
If susan is wise then paul is both cur... | Susan is not brave. | neutral | (((~tall(john)|~generous(john)))<=>((kind(lucy)|~rich(lucy))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:(curious(X))))&
(![X]:((~rich(X)<~>~creative(X))<=>(calm(X)<~>~quiet(X))))&
(![X]:(~humble(X)=>(patient(X)&rich(X))))&
((wise(susan))=>((curious(paul)&funny(paul))))&
(![X]:((patient(X)<~>~generous(X))<=>(~rich(X)&pati... | ~brave(susan) | [] | null | 0 |
Everyone who is patient or not quiet is kind.
If susan is quiet or happy then john is either not old or funny and vice versa.
Everyone who is strong or old is either not humble or patient and vice versa.
Everyone who is either brave or not generous is calm or not wise.
If someone is not funny or wise then lucy is quiet... | John is not strong. | entailment | (![X]:((patient(X)|~quiet(X))=>kind(X)))&
(((quiet(susan)|happy(susan)))<=>((~old(john)<~>funny(john))))&
(![X]:((strong(X)|old(X))<=>(~humble(X)<~>patient(X))))&
(![X]:((brave(X)<~>~generous(X))=>(calm(X)|~wise(X))))&
((?[X]:((~funny(X)|wise(X))))=>((quiet(lucy)|~funny(lucy))))&
(![X]:(brave(X)<=>(~quiet(X)|~calm(X)))... | ~strong(john) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7289011363068067257798700
% SZS output start Proof for 7289011363068067257798700
9. ! [X0] : ((~old(X0) | funny(X0)) <=> (~strong(X0) & wise(X0))) [input p8]
10. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> (~tall(X0) <~> tall(X0))) [input p9]
25. strong(john) [input hypothesis]
57. ! [X0] :... | 0 |
If alice is both not wise and not curious then lucy is either not rich or not humble.
Everyone who is either not strong or kind is either patient or not patient and vice versa.
Everyone who is either kind or not generous is not calm or calm and vice versa.
If paul is not rich then mary is either old or strong and vice ... | Alice is not kind. | contradiction | (((~wise(alice)&~curious(alice)))=>((~rich(lucy)<~>~humble(lucy))))&
(![X]:((~strong(X)<~>kind(X))<=>(patient(X)<~>~patient(X))))&
(![X]:((kind(X)<~>~generous(X))<=>(~calm(X)|calm(X))))&
((~rich(paul))<=>((old(mary)<~>strong(mary))))&
(![X]:((~quiet(X)<~>~brave(X))=>(~quiet(X)<~>~kind(X))))&
((?[X]:((humble(X)|quiet(X)... | ~kind(alice) | [
"p1",
"p2",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6513248313873195132488
% SZS output start Proof for 6513248313873195132488
2. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (patient(X0) <~> ~patient(X0))) [input p1]
3. ! [X0] : ((kind(X0) <~> ~generous(X0)) <=> (calm(X0) | ~calm(X0))) [input p2]
9. ! [X0] : ((strong(X0) & creative(X0)) <=> ~... | 0 |
If someone is both not humble and kind then fred is rich or not kind and vice versa.
If someone is not curious then fred is kind and vice versa.
Everyone who is tall or curious is not brave and vice versa.
Everyone who is not quiet or not strong is not curious or not funny and vice versa.
If lucy is either not old or r... | Fred is not wise. | contradiction | ((?[X]:((~humble(X)&kind(X))))<=>((rich(fred)|~kind(fred))))&
((?[X]:(~curious(X)))<=>(kind(fred)))&
(![X]:((tall(X)|curious(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~curious(X)|~funny(X))))&
(((~old(lucy)<~>rich(lucy)))=>(?[X]:((~strong(X)&~rich(X)))))&
(((~creative(lucy)|~tall(lucy)))<=>(?[X]:((rich(X)<~>w... | ~wise(fred) | [
"p1",
"p2",
"p8",
"p9",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6944713115088122576942938
% SZS output start Proof for 6944713115088122576942938
2. ? [X0] : ~curious(X0) <=> kind(fred) [input p1]
3. ! [X0] : ((curious(X0) | tall(X0)) <=> ~brave(X0)) [input p2]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (creative(X0) <~> kind(X0))) [input p8]
10. ! [... | 0 |
Everyone who is not kind is not curious.
If someone is not kind or rich then lucy is not quiet.
Everyone who is humble or curious is both not strong and happy and vice versa.
If someone is both not generous and not quiet then someone is happy and vice versa.
Everyone who is not happy or not tall is wise and vice versa.... | John is curious. | contradiction | (![X]:(~kind(X)=>~curious(X)))&
((?[X]:((~kind(X)|rich(X))))=>(~quiet(lucy)))&
(![X]:((humble(X)|curious(X))<=>(~strong(X)&happy(X))))&
((?[X]:((~generous(X)&~quiet(X))))<=>(?[X]:(happy(X))))&
(![X]:((~happy(X)|~tall(X))<=>wise(X)))&
((?[X]:((~strong(X)<~>~generous(X))))<=>(?[X]:((~curious(X)|~happy(X)))))&
((tall(mary... | curious(john) | [
"p2",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8762486516395064900977926
% SZS output start Proof for 8762486516395064900977926
3. ! [X0] : ((curious(X0) | humble(X0)) <=> (happy(X0) & ~strong(X0))) [input p2]
4. ? [X0] : (~quiet(X0) & ~generous(X0)) <=> ? [X0] : happy(X0) [input p3]
16. ! [X0] : (~quiet(X0) => (~curious(X0) & generou... | 0 |
If paul is calm then alice is both rich and patient and vice versa.
Everyone who is either calm or funny is rich or strong.
Everyone who is both not humble and generous is not quiet and vice versa.
If someone is both not generous and generous then paul is both patient and not creative and vice versa.
If someone is not ... | Susan is old. | neutral | ((calm(paul))<=>((rich(alice)&patient(alice))))&
(![X]:((calm(X)<~>funny(X))=>(rich(X)|strong(X))))&
(![X]:((~humble(X)&generous(X))<=>~quiet(X)))&
((?[X]:((~generous(X)&generous(X))))<=>((patient(paul)&~creative(paul))))&
((?[X]:(~quiet(X)))<=>((funny(paul)<~>generous(paul))))&
(![X]:(generous(X)<=>~humble(X)))&
(((pa... | old(susan) | [] | null | 0 |
If someone is patient then someone is either not funny or old.
Everyone who is happy or tall is either not curious or creative.
Everyone who is both tall and creative is not humble.
Everyone who is old or not wise is either not funny or patient.
If someone is creative or not curious then someone is both old and wise an... | Fred is not wise. | entailment | ((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((old(X)&wise(X)))))&
((rich(paul))=>((~wise(john)&old(john))))&
(... | ~wise(fred) | [
"p2",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8641687377740308423189427
% SZS output start Proof for 8641687377740308423189427
3. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p2]
9. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [input p8]
14. ! [X0] : ((humble(X0) & calm(X0)) <=> (wise(X0) | ~funny(X0))) [input p13]... | 0 |
Everyone who is not curious is not wise or not old.
If someone is either brave or not funny then lucy is rich.
If someone is generous or creative then someone is both not tall and not kind and vice versa.
Everyone who is both not old and old is generous.
Everyone who is generous is not wise and vice versa.
Everyone who... | Paul is rich. | entailment | (![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((generous(X)|creative(X))))<=>(?[X]:((~tall(X)&~kind(X)))))&
(![X]:((~old(X)&old(X))=>generous(X)))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(old(X)=>(~tall(X)|~humble(X))))&
(((~kind(john)&wise(john)))=>(?[X]:(~rich(X))))... | rich(paul) | [
"p2",
"p4",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8295107064136715786530405
% SZS output start Proof for 8295107064136715786530405
3. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p2]
5. ! [X0] : (generous(X0) <=> ~wise(X0)) [input p4]
11. ! [X0] : ((~creative(X0) | ~tall(X0)) => (wise(X0) & humble(X0... | 0 |
Everyone who is both kind and calm is generous.
Everyone who is not tall is both happy and quiet.
Everyone who is not patient is not quiet or not generous.
Everyone who is not strong is both not happy and not rich and vice versa.
If fred is both creative and not happy then someone is either calm or old.
If someone is b... | Paul is wise. | neutral | (![X]:((kind(X)&calm(X))=>generous(X)))&
(![X]:(~tall(X)=>(happy(X)&quiet(X))))&
(![X]:(~patient(X)=>(~quiet(X)|~generous(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(((creative(fred)&~happy(fred)))=>(?[X]:((calm(X)<~>old(X)))))&
((?[X]:((~old(X)&old(X))))<=>(?[X]:((humble(X)&~quiet(X)))))&
(((~brave(susan)|curi... | wise(paul) | [] | null | 0 |
Everyone who is both old and not happy is both not brave and happy.
If someone is either not wise or not strong then someone is both not creative and generous.
Everyone who is creative is both not kind and generous.
Everyone who is either strong or humble is both not brave and not tall.
Everyone who is both strong and ... | Mary is not patient. | contradiction | (![X]:((old(X)&~happy(X))=>(~brave(X)&happy(X))))&
((?[X]:((~wise(X)<~>~strong(X))))=>(?[X]:((~creative(X)&generous(X)))))&
(![X]:(creative(X)=>(~kind(X)&generous(X))))&
(![X]:((strong(X)<~>humble(X))=>(~brave(X)&~tall(X))))&
(![X]:((strong(X)&funny(X))=>(~creative(X)|~humble(X))))&
((?[X]:(generous(X)))<=>(?[X]:(stron... | ~patient(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4988635766072756586748230
% SZS output start Proof for 4988635766072756586748230
20. patient(mary) & funny(mary) [input p19]
25. ~patient(mary) [input hypothesis]
145. patient(mary) [cnf transformation 20]
152. ~patient(mary) [cnf transformation 25]
322. $false [subsumption resolution 152... | 0 |
If paul is not old or rich then someone is either not creative or creative and vice versa. Everyone who is patient or not creative is not kind. Everyone who is both not wise and generous is both not happy and not patient and vice versa. If someone is both not curious and quiet then someone is both funny and calm. Every... | Fred is generous. | entailment | (((~old(paul)|rich(paul)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((patient(X)|~creative(X))=>~kind(X)))&
(![X]:((~wise(X)&generous(X))<=>(~happy(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~crea... | generous(fred) | [
"p4",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3773097178436622010606526
% SZS output start Proof for 3773097178436622010606526
5. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p4]
8. ! [X0] : (generous(X0) <=> (~quiet(X0) | ~humble(X0))) [input p7]
13. ! [X0] : (strong(X0) <=> ~tall(X0)) [input p12]
14. (~strong(paul) | s... | 0 |
If mary is not quiet then someone is not tall.
If fred is both not tall and not creative then lucy is curious or rich and vice versa.
Everyone who is either happy or not quiet is both not creative and happy.
If someone is either not quiet or generous then someone is happy.
Everyone who is generous or funny is both gene... | John is not funny. | neutral | ((~quiet(mary))=>(?[X]:(~tall(X))))&
(((~tall(fred)&~creative(fred)))<=>((curious(lucy)|rich(lucy))))&
(![X]:((happy(X)<~>~quiet(X))=>(~creative(X)&happy(X))))&
((?[X]:((~quiet(X)<~>generous(X))))=>(?[X]:(happy(X))))&
(![X]:((generous(X)|funny(X))=>(generous(X)&~kind(X))))&
(![X]:((rich(X)&~curious(X))<=>(patient(X)|ki... | ~funny(john) | [] | null | 0 |
Everyone who is either not generous or wise is old or curious and vice versa.
If someone is patient or not patient then paul is either humble or not wise.
Everyone who is tall is humble or not happy and vice versa.
Everyone who is humble or strong is quiet.
If someone is either strong or not patient then alice is humbl... | John is not funny. | neutral | (![X]:((~generous(X)<~>wise(X))<=>(old(X)|curious(X))))&
((?[X]:((patient(X)|~patient(X))))=>((humble(paul)<~>~wise(paul))))&
(![X]:(tall(X)<=>(humble(X)|~happy(X))))&
(![X]:((humble(X)|strong(X))=>quiet(X)))&
((?[X]:((strong(X)<~>~patient(X))))<=>((humble(alice)|wise(alice))))&
(((~brave(john)|~creative(john)))<=>(?[X... | ~funny(john) | [] | null | 0 |
Everyone who is quiet or rich is generous and vice versa.
If someone is both not patient and generous then someone is not creative or old.
Everyone who is generous is brave or generous.
If someone is either curious or patient then john is not curious or not funny.
Everyone who is either humble or not old is both genero... | Paul is brave. | entailment | (![X]:((quiet(X)|rich(X))<=>generous(X)))&
((?[X]:((~patient(X)&generous(X))))=>(?[X]:((~creative(X)|old(X)))))&
(![X]:(generous(X)=>(brave(X)|generous(X))))&
((?[X]:((curious(X)<~>patient(X))))=>((~curious(john)|~funny(john))))&
(![X]:((humble(X)<~>~old(X))=>(generous(X)&~rich(X))))&
((?[X]:((quiet(X)|wise(X))))=>(?[X... | brave(paul) | [
"p0",
"p4",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5421892965867262732709333
% SZS output start Proof for 5421892965867262732709333
1. ! [X0] : ((rich(X0) | quiet(X0)) <=> generous(X0)) [input p0]
5. ! [X0] : ((humble(X0) <~> ~old(X0)) => (~rich(X0) & generous(X0))) [input p4]
6. ? [X0] : (wise(X0) | quiet(X0)) => ? [X0] : (old(X0) & humb... | 0 |
If someone is not tall or not calm then someone is both not old and strong.
Everyone who is wise is humble or wise.
If susan is either brave or not wise then someone is both creative and not generous and vice versa.
If someone is not old or tall then paul is either not curious or old.
Everyone who is either generous or... | Paul is not tall. | entailment | ((?[X]:((~tall(X)|~calm(X))))=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(wise(X)=>(humble(X)|wise(X))))&
(((brave(susan)<~>~wise(susan)))<=>(?[X]:((creative(X)&~generous(X)))))&
((?[X]:((~old(X)|tall(X))))=>((~curious(paul)<~>old(paul))))&
(![X]:((generous(X)<~>~quiet(X))<=>(strong(X)&~curious(X))))&
(![X]:((~creative(X)<~... | ~tall(paul) | [
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2514685972173146730847959
% SZS output start Proof for 2514685972173146730847959
10. ! [X0] : ((~strong(X0) & rich(X0)) <=> creative(X0)) [input p9]
11. (humble(susan) & ~humble(susan)) <=> ? [X0] : (~rich(X0) & kind(X0)) [input p10]
14. ! [X0] : ((~kind(X0) | tall(X0)) <=> ~funny(X0)) [i... | 0 |
If someone is both brave and not humble then paul is both kind and not old.
Everyone who is not strong or not old is tall or not happy.
Everyone who is not calm or curious is both not creative and not strong.
If someone is both not happy and funny then someone is happy and vice versa.
If john is brave then someone is b... | Paul is creative. | contradiction | ((?[X]:((brave(X)&~humble(X))))=>((kind(paul)&~old(paul))))&
(![X]:((~strong(X)|~old(X))=>(tall(X)|~happy(X))))&
(![X]:((~calm(X)|curious(X))=>(~creative(X)&~strong(X))))&
((?[X]:((~happy(X)&funny(X))))<=>(?[X]:(happy(X))))&
((brave(john))<=>(?[X]:((kind(X)&~strong(X)))))&
((?[X]:((tall(X)&humble(X))))<=>((~wise(mary)|... | creative(paul) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8545427438729471907737227
% SZS output start Proof for 8545427438729471907737227
3. ! [X0] : ((curious(X0) | ~calm(X0)) => (~strong(X0) & ~creative(X0))) [input p2]
7. ! [X0] : ((tall(X0) | strong(X0)) <=> curious(X0)) [input p6]
12. ! [X0] : ((~strong(X0) <~> curious(X0)) => strong(X0)) ... | 0 |
If susan is funny or not humble then someone is both not wise and creative. If paul is not patient or not creative then someone is not happy or not creative and vice versa. If someone is wise or old then someone is not curious and vice versa. Everyone who is either quiet or not rich is humble. If paul is not generous o... | Alice is not curious. | neutral | (((funny(susan)|~humble(susan)))=>(?[X]:((~wise(X)&creative(X)))))&
(((~patient(paul)|~creative(paul)))<=>(?[X]:((~happy(X)|~creative(X)))))&
((?[X]:((wise(X)|old(X))))<=>(?[X]:(~curious(X))))&
(![X]:((quiet(X)<~>~rich(X))=>humble(X)))&
(((~generous(paul)|~tall(paul)))=>(?[X]:(~curious(X))))&
((?[X]:((strong(X)|~strong... | ~curious(alice) | [] | null | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Mary is not quiet. | entailment | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | ~quiet(mary) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7578736660230550914356244
% SZS output start Proof for 7578736660230550914356244
1. ? [X0] : (~generous(X0) <~> kind(X0)) => ? [X0] : ~happy(X0) [input p0]
4. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [in... | 0 |
If someone is both brave and not generous then john is either not creative or generous and vice versa.
Everyone who is patient is both not humble and not creative.
Everyone who is quiet or tall is calm.
Everyone who is old or creative is calm or funny.
If fred is rich or not happy then susan is both not calm and funny.... | Lucy is not funny. | entailment | ((?[X]:((brave(X)&~generous(X))))<=>((~creative(john)<~>generous(john))))&
(![X]:(patient(X)=>(~humble(X)&~creative(X))))&
(![X]:((quiet(X)|tall(X))=>calm(X)))&
(![X]:((old(X)|creative(X))=>(calm(X)|funny(X))))&
(((rich(fred)|~happy(fred)))=>((~calm(susan)&funny(susan))))&
(![X]:((rich(X)&~strong(X))=>(old(X)&~curious(... | ~funny(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4242437289503702615917362
% SZS output start Proof for 4242437289503702615917362
10. ! [X0] : ((~creative(X0) | funny(X0)) => ~funny(X0)) [input p9]
24. funny(lucy) [input hypothesis]
33. ! [X0] : (~funny(X0) | (creative(X0) & ~funny(X0))) [ennf transformation 10]
99. ~funny(X0) | ~funny(... | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is kind then paul is both tall and not patient and vice versa.
Everyone who is either wise or not humble is either calm or generous and vice versa.
If fred is not calm or not quiet the... | Alice is happy. | entailment | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:((wise(X)<~>~humble(X))<=>(calm(X)<~>generous(X))))&
(((~calm(fred)|~quiet(fred)))<=>((~rich(john)&quiet(john))))&
(![X]:((~funny(X)|rich(X))<=>(funny(X)<~>happy(X))))&
(((~... | happy(alice) | [
"p0",
"p3",
"p5",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4240534945772501290543242
% SZS output start Proof for 4240534945772501290543242
1. ! [X0] : (~calm(X0) <=> humble(X0)) [input p0]
4. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (calm(X0) <~> generous(X0))) [input p3]
6. ! [X0] : ((rich(X0) | ~funny(X0)) <=> (funny(X0) <~> happy(X0))) [input... | 0 |
Everyone who is curious or tall is not brave.
Everyone who is either wise or not rich is both creative and quiet and vice versa.
Everyone who is either humble or old is either kind or tall.
Everyone who is patient or not kind is both wise and not happy.
If someone is not strong then someone is both strong and brave.
Ev... | Alice is not curious. | contradiction | (![X]:((curious(X)|tall(X))=>~brave(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>old(X))=>(kind(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(wise(X)&~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(~patient(X)&~strong(X))))&
(![... | ~curious(alice) | [
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 499942316233644952537966
% SZS output start Proof for 499942316233644952537966
6. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (~strong(X0) & ~patient(X0))) [input p5]
14. ! [X0] : ((~patient(X0) | ~kind(X0)) => (funny(X0) & rich(X0))) [input p13]
15. ! [X0] : ((~patient(X0) | brave(X0)) => (... | 0 |
If someone is strong or not curious then lucy is not generous or tall and vice versa.
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not s... | Mary is brave. | entailment | ((?[X]:((strong(X)|~curious(X))))<=>((~generous(lucy)|tall(lucy))))&
(![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|... | brave(mary) | [
"p1",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4134311028793390057887080
% SZS output start Proof for 4134311028793390057887080
2. ! [X0] : ((~brave(X0) | ~patient(X0)) => generous(X0)) [input p1]
4. ! [X0] : ((calm(X0) <~> happy(X0)) => brave(X0)) [input p3]
15. ! [X0] : (happy(X0) <=> (kind(X0) <~> ~kind(X0))) [input p14]
16. ! [X0]... | 0 |
Everyone who is strong or not patient is rich or not calm and vice versa.
Everyone who is not brave or not humble is both not tall and humble.
If fred is not kind then lucy is both not tall and generous and vice versa.
Everyone who is not generous is curious.
Everyone who is either not funny or kind is either patient o... | Lucy is not rich. | entailment | (![X]:((strong(X)|~patient(X))<=>(rich(X)|~calm(X))))&
(![X]:((~brave(X)|~humble(X))=>(~tall(X)&humble(X))))&
((~kind(fred))<=>((~tall(lucy)&generous(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:((~funny(X)<~>kind(X))=>(patient(X)<~>kind(X))))&
(![X]:((~strong(X)<~>humble(X))=>(~wise(X)&~patient(X))))&
(![X]:(old... | ~rich(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3206966436865077516854637
% SZS output start Proof for 3206966436865077516854637
2. ! [X0] : ((~humble(X0) | ~brave(X0)) => (humble(X0) & ~tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) => curious(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> kind(X0)) => (patient(X0) <~> kind(X0))) [inp... | 0 |
Everyone who is not old or wise is either not kind or not brave and vice versa.
If john is either creative or not old then mary is calm or not generous and vice versa.
Everyone who is either creative or not calm is either curious or not kind.
Everyone who is both not tall and not old is either not brave or brave and vi... | John is not rich. | contradiction | (![X]:((~old(X)|wise(X))<=>(~kind(X)<~>~brave(X))))&
(((creative(john)<~>~old(john)))<=>((calm(mary)|~generous(mary))))&
(![X]:((creative(X)<~>~calm(X))=>(curious(X)<~>~kind(X))))&
(![X]:((~tall(X)&~old(X))<=>(~brave(X)<~>brave(X))))&
((?[X]:((funny(X)|~curious(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((rich(X)<~... | ~rich(john) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5051383187164921427430986
% SZS output start Proof for 5051383187164921427430986
4. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~brave(X0) <~> brave(X0))) [input p3]
9. (old(susan) & quiet(susan)) <=> ? [X0] : (wise(X0) | ~rich(X0)) [input p8]
23. ~rich(john) [input hypothesis]
36. ! [X0] : (((... | 0 |
If someone is both not generous and not happy then mary is both old and quiet.
If someone is not creative then alice is generous or happy.
Everyone who is calm is not happy and vice versa.
Everyone who is not tall or not kind is either not humble or not tall.
Everyone who is either not brave or not happy is both not cu... | Lucy is not rich. | neutral | ((?[X]:((~generous(X)&~happy(X))))=>((old(mary)&quiet(mary))))&
((?[X]:(~creative(X)))=>((generous(alice)|happy(alice))))&
(![X]:(calm(X)<=>~happy(X)))&
(![X]:((~tall(X)|~kind(X))=>(~humble(X)<~>~tall(X))))&
(![X]:((~brave(X)<~>~happy(X))=>(~curious(X)&~calm(X))))&
(![X]:((calm(X)&~funny(X))=>(~curious(X)|wise(X))))&
(... | ~rich(lucy) | [] | null | 0 |
If someone is both old and calm then someone is either not wise or not funny and vice versa.
If alice is creative then mary is wise or kind and vice versa.
If someone is not creative or not tall then someone is curious or not curious.
Everyone who is not patient is both curious and not old.
Everyone who is either tall ... | Mary is not kind. | entailment | ((?[X]:((old(X)&calm(X))))<=>(?[X]:((~wise(X)<~>~funny(X)))))&
((creative(alice))<=>((wise(mary)|kind(mary))))&
((?[X]:((~creative(X)|~tall(X))))=>(?[X]:((curious(X)|~curious(X)))))&
(![X]:(~patient(X)=>(curious(X)&~old(X))))&
(![X]:((tall(X)<~>~creative(X))=>(~kind(X)|~tall(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(h... | ~kind(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1407212281629237796327284
% SZS output start Proof for 1407212281629237796327284
18. ~kind(mary) & ~creative(mary) [input p17]
25. kind(mary) [input hypothesis]
142. ~kind(mary) [cnf transformation 18]
150. kind(mary) [cnf transformation 25]
184. 8 <=> kind(mary) [avatar definition]
287. ... | 0 |
If someone is either patient or not funny then someone is generous or not creative.
Everyone who is both generous and not generous is either not curious or tall and vice versa.
If mary is both not patient and not creative then someone is either quiet or happy and vice versa.
Everyone who is brave or kind is brave or fu... | John is calm. | contradiction | ((?[X]:((patient(X)<~>~funny(X))))=>(?[X]:((generous(X)|~creative(X)))))&
(![X]:((generous(X)&~generous(X))<=>(~curious(X)<~>tall(X))))&
(((~patient(mary)&~creative(mary)))<=>(?[X]:((quiet(X)<~>happy(X)))))&
(![X]:((brave(X)|kind(X))<=>(brave(X)|funny(X))))&
(((brave(lucy)|creative(lucy)))=>(~curious(lucy)))&
((tall(al... | calm(john) | [
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8222328445180979742315914
% SZS output start Proof for 8222328445180979742315914
7. ! [X0] : ((calm(X0) & generous(X0)) <=> (~patient(X0) <~> ~funny(X0))) [input p6]
9. ! [X0] : ((~funny(X0) <~> generous(X0)) <=> ~old(X0)) [input p8]
12. ! [X0] : ((~patient(X0) <~> patient(X0)) => (~happy... | 0 |
Everyone who is either not happy or not kind is both brave and creative and vice versa. Everyone who is both not happy and not humble is not generous or not happy and vice versa. Everyone who is both not rich and strong is humble or brave. Everyone who is either tall or creative is both not funny and not kind. If alice... | Fred is not kind. | neutral | (![X]:((~happy(X)<~>~kind(X))<=>(brave(X)&creative(X))))&
(![X]:((~happy(X)&~humble(X))<=>(~generous(X)|~happy(X))))&
(![X]:((~rich(X)&strong(X))=>(humble(X)|brave(X))))&
(![X]:((tall(X)<~>creative(X))=>(~funny(X)&~kind(X))))&
((~strong(alice))<=>((~patient(fred)<~>~kind(fred))))&
((~generous(fred))<=>(?[X]:(happy(X)))... | ~kind(fred) | [] | null | 0 |
Everyone who is not creative or creative is either not curious or quiet.
Everyone who is strong is not strong or not curious.
Everyone who is both kind and curious is patient and vice versa.
Everyone who is both kind and not humble is creative.
If lucy is not funny then someone is not old and vice versa.
Everyone who i... | Lucy is quiet. | entailment | (![X]:((~creative(X)|creative(X))=>(~curious(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~strong(X)|~curious(X))))&
(![X]:((kind(X)&curious(X))<=>patient(X)))&
(![X]:((kind(X)&~humble(X))=>creative(X)))&
((~funny(lucy))<=>(?[X]:(~old(X))))&
(![X]:((funny(X)<~>brave(X))<=>~brave(X)))&
(((rich(alice)|~rich(alice)))=>(old(john))... | quiet(lucy) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1526102276066428961927040
% SZS output start Proof for 1526102276066428961927040
1. ! [X0] : ((creative(X0) | ~creative(X0)) => (~curious(X0) <~> quiet(X0))) [input p0]
3. ! [X0] : ((curious(X0) & kind(X0)) <=> patient(X0)) [input p2]
5. ~funny(lucy) <=> ? [X0] : ~old(X0) [input p4]
6. ! ... | 0 |
Everyone who is curious or calm is both happy and not curious and vice versa.
If alice is both not humble and kind then someone is either rich or not calm and vice versa.
If someone is strong then alice is humble or not old and vice versa.
Everyone who is either not happy or rich is not funny or happy and vice versa.
I... | Alice is generous. | neutral | (![X]:((curious(X)|calm(X))<=>(happy(X)&~curious(X))))&
(((~humble(alice)&kind(alice)))<=>(?[X]:((rich(X)<~>~calm(X)))))&
((?[X]:(strong(X)))<=>((humble(alice)|~old(alice))))&
(![X]:((~happy(X)<~>rich(X))<=>(~funny(X)|happy(X))))&
(((funny(john)<~>~old(john)))<=>((~rich(john)&patient(john))))&
(![X]:((rich(X)<~>~old(X)... | generous(alice) | [] | null | 0 |
If paul is not creative then lucy is either tall or not rich.
Everyone who is either funny or tall is not calm or not creative and vice versa.
Everyone who is not humble or not curious is not kind or not brave and vice versa.
Everyone who is either not calm or wise is not calm or happy and vice versa.
Everyone who is n... | John is brave. | entailment | ((~creative(paul))=>((tall(lucy)<~>~rich(lucy))))&
(![X]:((funny(X)<~>tall(X))<=>(~calm(X)|~creative(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~calm(X)|happy(X))))&
(![X]:((~kind(X)|~calm(X))=>(creative(X)<~>kind(X))))&
(((generous(susan)|~curious(susan)))=>(kind(al... | brave(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3515355253633047438343633
% SZS output start Proof for 3515355253633047438343633
21. strong(john) & brave(john) [input p20]
25. ~brave(john) [input hypothesis]
131. brave(john) [cnf transformation 21]
136. ~brave(john) [cnf transformation 25]
243. 24 <=> brave(john) [avatar definition]
25... | 0 |
If alice is old then mary is not humble or wise.
Everyone who is not brave is curious or happy and vice versa.
Everyone who is quiet or humble is both rich and not generous.
If susan is either not patient or humble then someone is funny.
Everyone who is either humble or strong is either tall or not quiet.
Everyone who ... | John is not generous. | entailment | ((old(alice))=>((~humble(mary)|wise(mary))))&
(![X]:(~brave(X)<=>(curious(X)|happy(X))))&
(![X]:((quiet(X)|humble(X))=>(rich(X)&~generous(X))))&
(((~patient(susan)<~>humble(susan)))=>(?[X]:(funny(X))))&
(![X]:((humble(X)<~>strong(X))=>(tall(X)<~>~quiet(X))))&
(![X]:((tall(X)<~>quiet(X))=>brave(X)))&
(![X]:((kind(X)<~>h... | ~generous(john) | [
"p2",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9130624214569962855621153
% SZS output start Proof for 9130624214569962855621153
3. ! [X0] : ((humble(X0) | quiet(X0)) => (~generous(X0) & rich(X0))) [input p2]
13. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~humble(X0) & funny(X0))) [input p12]
18. ~quiet(john) <~> funny(john) [input p17]
2... | 0 |
Everyone who is funny or old is not creative.
Everyone who is both brave and not quiet is both not kind and not creative.
If someone is brave or not brave then susan is not generous or not happy and vice versa.
Everyone who is wise is not patient and vice versa.
If someone is not happy or not kind then someone is both ... | John is wise. | neutral | (![X]:((funny(X)|old(X))=>~creative(X)))&
(![X]:((brave(X)&~quiet(X))=>(~kind(X)&~creative(X))))&
((?[X]:((brave(X)|~brave(X))))<=>((~generous(susan)|~happy(susan))))&
(![X]:(wise(X)<=>~patient(X)))&
((?[X]:((~happy(X)|~kind(X))))=>(?[X]:((funny(X)&~humble(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~strong(X)&humble(X)))))&... | wise(john) | [] | null | 0 |
Everyone who is either not creative or brave is both not creative and strong and vice versa.
Everyone who is not curious is either not kind or not humble.
If john is generous then mary is funny.
Everyone who is both not generous and wise is either strong or not wise.
Everyone who is both not old and brave is not brave ... | Lucy is quiet. | contradiction | (![X]:((~creative(X)<~>brave(X))<=>(~creative(X)&strong(X))))&
(![X]:(~curious(X)=>(~kind(X)<~>~humble(X))))&
((generous(john))=>(funny(mary)))&
(![X]:((~generous(X)&wise(X))=>(strong(X)<~>~wise(X))))&
(![X]:((~old(X)&brave(X))<=>~brave(X)))&
(((~kind(alice)|humble(alice)))<=>((~kind(john)<~>kind(john))))&
((?[X]:((~wi... | quiet(lucy) | [
"p0",
"p3",
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6185142040538389224541200
% SZS output start Proof for 6185142040538389224541200
1. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (strong(X0) & ~creative(X0))) [input p0]
4. ! [X0] : ((wise(X0) & ~generous(X0)) => (strong(X0) <~> ~wise(X0))) [input p3]
5. ! [X0] : ((brave(X0) & ~old(X0)) <=... | 0 |
If susan is both tall and not tall then alice is both not patient and not generous. Everyone who is wise is either not wise or not quiet and vice versa. If mary is not rich or not kind then someone is curious or not happy and vice versa. Everyone who is humble is both not kind and kind and vice versa. Everyone who is n... | Mary is not quiet. | entailment | (((tall(susan)&~tall(susan)))=>((~patient(alice)&~generous(alice))))&
(![X]:(wise(X)<=>(~wise(X)<~>~quiet(X))))&
(((~rich(mary)|~kind(mary)))<=>(?[X]:((curious(X)|~happy(X)))))&
(![X]:(humble(X)<=>(~kind(X)&kind(X))))&
(![X]:((~curious(X)|happy(X))=>quiet(X)))&
(![X]:((~brave(X)<~>creative(X))<=>(patient(X)<~>brave(X))... | ~quiet(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 143881932167062483677257
% SZS output start Proof for 143881932167062483677257
2. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~quiet(X0))) [input p1]
24. quiet(mary) [input hypothesis]
42. ! [X0] : ((wise(X0) | ((~wise(X0) | quiet(X0)) & (~quiet(X0) | wise(X0)))) & (((quiet(X0) | wise(X0)) & (~... | 0 |
Everyone who is not humble or curious is kind or generous. If someone is both not generous and quiet then someone is strong and vice versa. Everyone who is happy is quiet or creative and vice versa. If alice is either tall or brave then someone is not creative or wise. Everyone who is both not curious and happy is stro... | John is not happy. | contradiction | (![X]:((~humble(X)|curious(X))=>(kind(X)|generous(X))))&
((?[X]:((~generous(X)&quiet(X))))<=>(?[X]:(strong(X))))&
(![X]:(happy(X)<=>(quiet(X)|creative(X))))&
(((tall(alice)<~>brave(alice)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((~curious(X)&happy(X))=>(strong(X)|~funny(X))))&
(![X]:(creative(X)<=>generous(X)))&
(((... | ~happy(john) | [
"p2",
"p5",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7902399419042005672546629
% SZS output start Proof for 7902399419042005672546629
3. ! [X0] : (happy(X0) <=> (creative(X0) | quiet(X0))) [input p2]
6. ! [X0] : (creative(X0) <=> generous(X0)) [input p5]
8. ! [X0] : ((~patient(X0) | old(X0)) => generous(X0)) [input p7]
21. ~patient(john) [i... | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | Alice is wise. | entailment | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | wise(alice) | [
"p3",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6584297918352797637476310
% SZS output start Proof for 6584297918352797637476310
4. ! [X0] : (~happy(X0) => ~old(X0)) [input p3]
11. ! [X0] : (~wise(X0) => (~happy(X0) <~> wise(X0))) [input p10]
21. old(alice) & tall(alice) [input p20]
24. ~wise(alice) [input hypothesis]
30. ! [X0] : (~ol... | 0 |
Everyone who is wise is not brave or not happy.
If alice is strong or funny then alice is either not quiet or generous and vice versa.
Everyone who is either creative or not happy is both strong and wise and vice versa.
Everyone who is either not brave or creative is either not quiet or curious and vice versa.
Everyone... | Susan is not tall. | entailment | (![X]:(wise(X)=>(~brave(X)|~happy(X))))&
(((strong(alice)|funny(alice)))<=>((~quiet(alice)<~>generous(alice))))&
(![X]:((creative(X)<~>~happy(X))<=>(strong(X)&wise(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((rich(X)|~funny(X))=>(happy(X)<~>curious(X))))&
((?[X]:((~tall(X)|~happy(X))))=... | ~tall(susan) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4537296134420305101682001
% SZS output start Proof for 4537296134420305101682001
6. ? [X0] : (~happy(X0) | ~tall(X0)) => (~tall(susan) & ~funny(susan)) [input p5]
19. ? [X0] : (~tall(X0) & rich(X0)) [input p18]
25. tall(susan) [input hypothesis]
31. (~tall(susan) & ~funny(susan)) | ! [X0]... | 0 |
If someone is both quiet and not rich then someone is both curious and rich and vice versa.
If susan is both creative and not humble then someone is not old or not tall.
Everyone who is not happy is either brave or generous.
Everyone who is not brave or funny is tall and vice versa.
Everyone who is humble or not rich i... | Paul is patient. | entailment | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((curious(X)&rich(X)))))&
(((creative(susan)&~humble(susan)))=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:(~happy(X)=>(brave(X)<~>generous(X))))&
(![X]:((~brave(X)|funny(X))<=>tall(X)))&
(![X]:((humble(X)|~rich(X))=>~creative(X)))&
(![X]:(~wise(X)=>(curious(X)<~>patient(X))))&
(((curious(... | patient(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4757771091561647672398997
% SZS output start Proof for 4757771091561647672398997
23. humble(paul) & patient(paul) [input p22]
25. ~patient(paul) [input hypothesis]
142. patient(paul) [cnf transformation 23]
146. ~patient(paul) [cnf transformation 25]
342. $false [subsumption resolution 14... | 0 |
If someone is not happy or rich then alice is both calm and not calm and vice versa.
If susan is kind then alice is creative or funny and vice versa.
Everyone who is both not rich and not funny is humble or patient and vice versa.
Everyone who is not kind is either strong or wise and vice versa.
Everyone who is calm is... | Alice is not old. | entailment | ((?[X]:((~happy(X)|rich(X))))<=>((calm(alice)&~calm(alice))))&
((kind(susan))<=>((creative(alice)|funny(alice))))&
(![X]:((~rich(X)&~funny(X))<=>(humble(X)|patient(X))))&
(![X]:(~kind(X)<=>(strong(X)<~>wise(X))))&
(![X]:(calm(X)<=>(rich(X)<~>~humble(X))))&
(![X]:((brave(X)|humble(X))=>(strong(X)|generous(X))))&
((?[X]:... | ~old(alice) | [
"p0",
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3499049230384729356703711
% SZS output start Proof for 3499049230384729356703711
1. ? [X0] : (rich(X0) | ~happy(X0)) <=> (~calm(alice) & calm(alice)) [input p0]
3. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (patient(X0) | humble(X0))) [input p2]
7. ? [X0] : (kind(X0) | old(X0)) => (funny(john... | 0 |
If someone is tall then someone is either brave or patient.
Everyone who is humble or creative is both kind and creative.
If john is both patient and rich then paul is not old and vice versa.
Everyone who is not quiet or wise is both not wise and wise.
Everyone who is both not happy and curious is not kind.
If susan is... | John is tall. | neutral | ((?[X]:(tall(X)))=>(?[X]:((brave(X)<~>patient(X)))))&
(![X]:((humble(X)|creative(X))=>(kind(X)&creative(X))))&
(((patient(john)&rich(john)))<=>(~old(paul)))&
(![X]:((~quiet(X)|wise(X))=>(~wise(X)&wise(X))))&
(![X]:((~happy(X)&curious(X))=>~kind(X)))&
(((strong(susan)<~>wise(susan)))=>(?[X]:((calm(X)&~humble(X)))))&
(![... | tall(john) | [] | null | 0 |
Everyone who is quiet is either humble or not calm.
Everyone who is not old is both not kind and not tall and vice versa.
Everyone who is both not happy and not creative is curious or not patient.
Everyone who is not funny is tall or humble.
Everyone who is both wise and not wise is not generous or not humble and vice ... | Susan is not generous. | contradiction | (![X]:(quiet(X)=>(humble(X)<~>~calm(X))))&
(![X]:(~old(X)<=>(~kind(X)&~tall(X))))&
(![X]:((~happy(X)&~creative(X))=>(curious(X)|~patient(X))))&
(![X]:(~funny(X)=>(tall(X)|humble(X))))&
(![X]:((wise(X)&~wise(X))<=>(~generous(X)|~humble(X))))&
(![X]:(brave(X)=>(~humble(X)|tall(X))))&
(((wise(paul)<~>~strong(paul)))<=>((~... | ~generous(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8274967592161809897237198
% SZS output start Proof for 8274967592161809897237198
5. ! [X0] : ((~wise(X0) & wise(X0)) <=> (~humble(X0) | ~generous(X0))) [input p4]
24. ~generous(susan) [input hypothesis]
45. ! [X0] : (((~wise(X0) & wise(X0)) | (humble(X0) & generous(X0))) & ((~humble(X0) |... | 0 |
Everyone who is both not wise and not happy is strong or not calm.
If susan is wise or generous then susan is not rich.
If alice is either brave or not tall then someone is both not tall and generous.
If someone is not old or old then lucy is either funny or not wise and vice versa.
Everyone who is not wise is either n... | Lucy is not quiet. | neutral | (![X]:((~wise(X)&~happy(X))=>(strong(X)|~calm(X))))&
(((wise(susan)|generous(susan)))=>(~rich(susan)))&
(((brave(alice)<~>~tall(alice)))=>(?[X]:((~tall(X)&generous(X)))))&
((?[X]:((~old(X)|old(X))))<=>((funny(lucy)<~>~wise(lucy))))&
(![X]:(~wise(X)=>(~humble(X)<~>wise(X))))&
(((~patient(alice)&brave(alice)))=>(?[X]:(ge... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both rich and humble is either rich or not curious and vice versa.
Everyone who is either happy or calm is not creative and vice versa.
Everyone who is tall or not kind is either not patient or creative.
Everyone who is rich is both funny and not kind and vice versa.
Everyone who is not kind is either q... | Fred is tall. | contradiction | (![X]:((rich(X)&humble(X))<=>(rich(X)<~>~curious(X))))&
(![X]:((happy(X)<~>calm(X))<=>~creative(X)))&
(![X]:((tall(X)|~kind(X))=>(~patient(X)<~>creative(X))))&
(![X]:(rich(X)<=>(funny(X)&~kind(X))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~rich(X))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
((... | tall(fred) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4869805327718313838638647
% SZS output start Proof for 4869805327718313838638647
1. ! [X0] : ((humble(X0) & rich(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : (rich(X0) <=> (~kind(X0) & funny(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (quiet(X0) <~> ~rich(X0))) [input p4]
... | 0 |
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vice versa.
If someone is both curious and wise then mary is either hap... | Susan is not wise. | neutral | (((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&
(((calm(paul)|wise(paul)))<=>(?[X]:(~funny(X))))&
(![X]:... | ~wise(susan) | [] | null | 0 |
If someone is patient or not strong then susan is both not tall and not creative.
Everyone who is funny is strong or tall.
Everyone who is generous or wise is either not creative or generous.
If someone is not humble or not patient then someone is both not kind and kind.
Everyone who is not quiet or creative is not ric... | Susan is not funny. | neutral | ((?[X]:((patient(X)|~strong(X))))=>((~tall(susan)&~creative(susan))))&
(![X]:(funny(X)=>(strong(X)|tall(X))))&
(![X]:((generous(X)|wise(X))=>(~creative(X)<~>generous(X))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:((~quiet(X)|creative(X))=>~rich(X)))&
(![X]:((~happy(X)<~>old(X))=>(~kind(X... | ~funny(susan) | [] | null | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both kind and not kind is either not brave or curious.
Everyone who is both patient and not happy is either quiet or happy and vice versa.
If fred is either quiet or old then paul is both happy and... | John is not humble. | contradiction | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)<~>curious(X))))&
(![X]:((patient(X)&~happy(X))<=>(quiet(X)<~>happy(X))))&
(((quiet(fred)<~>old(fred)))<=>((happy(paul)&wise(paul))))&
(![X]:(generous(X)<=>(curious(X)<~>wise(X))))&
((?[X]:((~patient(... | ~humble(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2192755884735010278862075
% SZS output start Proof for 2192755884735010278862075
11. ! [X0] : ((curious(X0) & humble(X0)) <=> (~patient(X0) | ~humble(X0))) [input p10]
24. ~humble(john) [input hypothesis]
53. ! [X0] : (((curious(X0) & humble(X0)) | (patient(X0) & humble(X0))) & ((~patient... | 0 |
Everyone who is either not tall or not patient is both curious and not curious and vice versa. If someone is not patient or not calm then someone is not brave or not old and vice versa. Everyone who is not brave is old or not happy and vice versa. If someone is either not old or rich then alice is curious or tall. Ever... | Susan is quiet. | neutral | (![X]:((~tall(X)<~>~patient(X))<=>(curious(X)&~curious(X))))&
((?[X]:((~patient(X)|~calm(X))))<=>(?[X]:((~brave(X)|~old(X)))))&
(![X]:(~brave(X)<=>(old(X)|~happy(X))))&
((?[X]:((~old(X)<~>rich(X))))=>((curious(alice)|tall(alice))))&
(![X]:((~happy(X)|~calm(X))=>(wise(X)|~curious(X))))&
((~patient(lucy))<=>((tall(susan)... | quiet(susan) | [] | null | 0 |
Everyone who is not generous or brave is both humble and generous.
Everyone who is both rich and old is not rich or strong.
If someone is creative then someone is either brave or not calm and vice versa.
If someone is not humble or not funny then paul is both not patient and not rich.
If someone is both funny and not c... | Paul is creative. | neutral | (![X]:((~generous(X)|brave(X))=>(humble(X)&generous(X))))&
(![X]:((rich(X)&old(X))=>(~rich(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((brave(X)<~>~calm(X)))))&
((?[X]:((~humble(X)|~funny(X))))=>((~patient(paul)&~rich(paul))))&
((?[X]:((funny(X)&~curious(X))))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((humble(X)<~>t... | creative(paul) | [] | null | 0 |
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