premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not rich or not quiet then lucy is not wise.
Everyone who is not wise is both humble and rich.
If someone is both not calm and not curious then lucy is either happy or old and vice versa.
Everyone who is either not tall or not kind is both kind and quiet.
Everyone who is not kind or old is old and vice ve... | Mary is old. | entailment | ((?[X]:((~rich(X)|~quiet(X))))=>(~wise(lucy)))&
(![X]:(~wise(X)=>(humble(X)&rich(X))))&
((?[X]:((~calm(X)&~curious(X))))<=>((happy(lucy)<~>old(lucy))))&
(![X]:((~tall(X)<~>~kind(X))=>(kind(X)&quiet(X))))&
(![X]:((~kind(X)|old(X))<=>old(X)))&
(![X]:(happy(X)=>(happy(X)&~quiet(X))))&
(((curious(susan)&happy(susan)))<=>((... | old(mary) | [
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4042372765656697043563660
% SZS output start Proof for 4042372765656697043563660
5. ! [X0] : ((old(X0) | ~kind(X0)) <=> old(X0)) [input p4]
10. ! [X0] : ((strong(X0) | ~curious(X0)) => ~kind(X0)) [input p9]
18. ~rich(mary) & strong(mary) [input p17]
25. ~old(mary) [input hypothesis]
32. !... | 0 |
If susan is either calm or not quiet then paul is curious and vice versa.
If mary is either strong or not humble then someone is either humble or tall and vice versa.
Everyone who is either generous or not humble is both not strong and curious and vice versa.
Everyone who is curious is old or quiet.
If susan is both no... | Paul is not rich. | contradiction | (((calm(susan)<~>~quiet(susan)))<=>(curious(paul)))&
(((strong(mary)<~>~humble(mary)))<=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((generous(X)<~>~humble(X))<=>(~strong(X)&curious(X))))&
(![X]:(curious(X)=>(old(X)|quiet(X))))&
(((~generous(susan)&generous(susan)))<=>((~humble(mary)&~quiet(mary))))&
(![X]:((~strong(X)|~ge... | ~rich(paul) | [
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7737938620960356641912954
% SZS output start Proof for 7737938620960356641912954
13. ? [X0] : ~happy(X0) <=> (rich(alice) & brave(alice)) [input p12]
16. ! [X0] : ((happy(X0) | curious(X0)) => (rich(X0) & ~wise(X0))) [input p15]
21. ~brave(alice) [input p20]
24. ~rich(paul) [input hypothe... | 0 |
Everyone who is either not wise or not brave is not old or not brave and vice versa. If someone is either generous or curious then someone is strong or not tall. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not... | Paul is strong. | neutral | (![X]:((~wise(X)<~>~brave(X))<=>(~old(X)|~brave(X))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X... | strong(paul) | [] | null | 0 |
If susan is calm then someone is not patient or quiet.
Everyone who is both quiet and not calm is either funny or happy and vice versa.
If john is funny then someone is rich or generous and vice versa.
Everyone who is either creative or not funny is not rich or humble and vice versa.
Everyone who is either strong or ta... | Lucy is brave. | neutral | ((calm(susan))=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((quiet(X)&~calm(X))<=>(funny(X)<~>happy(X))))&
((funny(john))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((creative(X)<~>~funny(X))<=>(~rich(X)|humble(X))))&
(![X]:((strong(X)<~>tall(X))<=>(strong(X)&old(X))))&
((?[X]:((generous(X)<~>brave(X))))<=>(?[X]:((kind(X)<~... | brave(lucy) | [] | null | 0 |
If someone is not curious or not strong then someone is quiet.
If fred is either not curious or generous then lucy is creative.
If someone is tall then lucy is not wise or not creative.
Everyone who is either creative or not brave is either wise or not patient.
Everyone who is either quiet or strong is not kind and vic... | Mary is not rich. | entailment | ((?[X]:((~curious(X)|~strong(X))))=>(?[X]:(quiet(X))))&
(((~curious(fred)<~>generous(fred)))=>(creative(lucy)))&
((?[X]:(tall(X)))=>((~wise(lucy)|~creative(lucy))))&
(![X]:((creative(X)<~>~brave(X))=>(wise(X)<~>~patient(X))))&
(![X]:((quiet(X)<~>strong(X))<=>~kind(X)))&
(![X]:((~happy(X)&~brave(X))<=>(rich(X)<~>calm(X)... | ~rich(mary) | [
"p3",
"p8",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8868964467307839389963399
% SZS output start Proof for 8868964467307839389963399
4. ! [X0] : ((creative(X0) <~> ~brave(X0)) => (wise(X0) <~> ~patient(X0))) [input p3]
9. ! [X0] : ((~strong(X0) | patient(X0)) => (~quiet(X0) & patient(X0))) [input p8]
10. ! [X0] : (tall(X0) => (~brave(X0) |... | 0 |
Everyone who is both not curious and happy is curious and vice versa.
If someone is either curious or not calm then john is not humble and vice versa.
Everyone who is happy is either patient or not creative and vice versa.
If someone is both not rich and wise then someone is either not rich or not old.
If susan is happ... | Alice is curious. | contradiction | (![X]:((~curious(X)&happy(X))<=>curious(X)))&
((?[X]:((curious(X)<~>~calm(X))))<=>(~humble(john)))&
(![X]:(happy(X)<=>(patient(X)<~>~creative(X))))&
((?[X]:((~rich(X)&wise(X))))=>(?[X]:((~rich(X)<~>~old(X)))))&
((happy(susan))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
(((~rich(john)|~curious(john)))<=>(~curious(lucy)))&
(((~s... | curious(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1093136595738104303196674
% SZS output start Proof for 1093136595738104303196674
1. ! [X0] : ((happy(X0) & ~curious(X0)) <=> curious(X0)) [input p0]
24. curious(alice) [input hypothesis]
35. ! [X0] : (((happy(X0) & ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~happy(X0) | curious(X0)))... | 0 |
Everyone who is quiet is both tall and not funny.
Everyone who is kind is not rich.
If someone is not quiet or not wise then lucy is not humble or happy and vice versa.
Everyone who is both kind and not old is either not creative or generous.
If someone is quiet then someone is both brave and patient and vice versa.
Ev... | Paul is not tall. | contradiction | (![X]:(quiet(X)=>(tall(X)&~funny(X))))&
(![X]:(kind(X)=>~rich(X)))&
((?[X]:((~quiet(X)|~wise(X))))<=>((~humble(lucy)|happy(lucy))))&
(![X]:((kind(X)&~old(X))=>(~creative(X)<~>generous(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((brave(X)&patient(X)))))&
(![X]:(~happy(X)=>calm(X)))&
(![X]:((creative(X)<~>~old(X))<=>~kind(X)))&
(... | ~tall(paul) | [
"p0",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9201255239136454138951122
% SZS output start Proof for 9201255239136454138951122
1. ! [X0] : (quiet(X0) => (~funny(X0) & tall(X0))) [input p0]
15. ! [X0] : ((curious(X0) & ~rich(X0)) <=> ~quiet(X0)) [input p14]
18. rich(paul) | quiet(paul) [input p17]
25. ~tall(paul) [input hypothesis]
28... | 0 |
Everyone who is not funny or brave is not wise and vice versa. Everyone who is patient is generous. If alice is not wise or strong then susan is either not curious or quiet. Everyone who is either old or kind is either curious or old and vice versa. Everyone who is not kind is either creative or not funny. Everyone who... | Alice is not humble. | neutral | (![X]:((~funny(X)|brave(X))<=>~wise(X)))&
(![X]:(patient(X)=>generous(X)))&
(((~wise(alice)|strong(alice)))=>((~curious(susan)<~>quiet(susan))))&
(![X]:((old(X)<~>kind(X))<=>(curious(X)<~>old(X))))&
(![X]:(~kind(X)=>(creative(X)<~>~funny(X))))&
(![X]:((creative(X)<~>~wise(X))<=>(~funny(X)&funny(X))))&
(![X]:((~creative... | ~humble(alice) | [] | null | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is both not patient and not curious is either happy or not kind and vice versa.
If someone is not tall or not wise then paul is either calm or happy.
Everyone who is not quiet or humble is both not generous and not patient and vice versa.
If some... | Fred is not creative. | contradiction | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((~patient(X)&~curious(X))<=>(happy(X)<~>~kind(X))))&
((?[X]:((~tall(X)|~wise(X))))=>((calm(paul)<~>happy(paul))))&
(![X]:((~quiet(X)|humble(X))<=>(~generous(X)&~patient(X))))&
((?[X]:((funny(X)|~creative(X))))<=>((funny(lucy)<~>~strong(lucy))))&
(![X]:((~old(X)|~humble(X))... | ~creative(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4398855358776925163329857
% SZS output start Proof for 4398855358776925163329857
17. creative(fred) & ~brave(fred) [input p16]
25. ~creative(fred) [input hypothesis]
136. creative(fred) [cnf transformation 17]
149. ~creative(fred) [cnf transformation 25]
231. 17 <=> creative(fred) [avatar... | 0 |
If lucy is both not brave and not curious then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy and wise is both strong and rich and vice versa.
Every... | Alice is not rich. | neutral | (((~brave(lucy)&~curious(lucy)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))&
((?[X]:(old(X)))<=>((~brave(alice)&f... | ~rich(alice) | [] | null | 0 |
Everyone who is not tall is both not brave and rich and vice versa.
If lucy is both creative and not creative then someone is not wise or quiet and vice versa.
If susan is both not happy and not curious then susan is both wise and funny and vice versa.
If someone is both not quiet and not old then someone is old or gen... | Lucy is creative. | contradiction | (![X]:(~tall(X)<=>(~brave(X)&rich(X))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:((~wise(X)|quiet(X)))))&
(((~happy(susan)&~curious(susan)))<=>((wise(susan)&funny(susan))))&
((?[X]:((~quiet(X)&~old(X))))<=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>... | creative(lucy) | [
"p0",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6630958588646917238935288
% SZS output start Proof for 6630958588646917238935288
1. ! [X0] : (~tall(X0) <=> (rich(X0) & ~brave(X0))) [input p0]
10. ! [X0] : (~humble(X0) => tall(X0)) [input p9]
11. ? [X0] : (humble(X0) <~> ~creative(X0)) <=> ? [X0] : (funny(X0) & ~rich(X0)) [input p10]
13... | 0 |
Everyone who is either quiet or not creative is either not quiet or not curious and vice versa. Everyone who is either wise or patient is not calm or creative. If someone is both tall and not brave then someone is creative. If someone is not calm or not happy then mary is generous. Everyone who is both generous and cal... | Mary is creative. | entailment | (![X]:((quiet(X)<~>~creative(X))<=>(~quiet(X)<~>~curious(X))))&
(![X]:((wise(X)<~>patient(X))=>(~calm(X)|creative(X))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:(creative(X))))&
((?[X]:((~calm(X)|~happy(X))))=>(generous(mary)))&
(![X]:((generous(X)&calm(X))<=>tall(X)))&
((funny(paul))=>(~creative(paul)))&
(![X]:((wise(X)<... | creative(mary) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2382548386947383827788793
% SZS output start Proof for 2382548386947383827788793
2. ! [X0] : ((wise(X0) <~> patient(X0)) => (creative(X0) | ~calm(X0))) [input p1]
4. ? [X0] : (~happy(X0) | ~calm(X0)) => generous(mary) [input p3]
5. ! [X0] : ((calm(X0) & generous(X0)) <=> tall(X0)) [input ... | 0 |
Everyone who is happy or funny is both patient and not happy.
Everyone who is old or not quiet is not wise.
Everyone who is kind or not wise is both kind and not wise.
Everyone who is not strong or not rich is both not brave and not humble.
Everyone who is either not happy or generous is either humble or generous and v... | Mary is not generous. | contradiction | (![X]:((happy(X)|funny(X))=>(patient(X)&~happy(X))))&
(![X]:((old(X)|~quiet(X))=>~wise(X)))&
(![X]:((kind(X)|~wise(X))=>(kind(X)&~wise(X))))&
(![X]:((~strong(X)|~rich(X))=>(~brave(X)&~humble(X))))&
(![X]:((~happy(X)<~>generous(X))<=>(humble(X)<~>generous(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>~happy(X)))&
(((patient(p... | ~generous(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1431294081000983864502939
% SZS output start Proof for 1431294081000983864502939
1. ! [X0] : ((funny(X0) | happy(X0)) => (~happy(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | old(X0)) => ~wise(X0)) [input p1]
3. ! [X0] : ((~wise(X0) | kind(X0)) => (~wise(X0) & kind(X0))) [inpu... | 0 |
If fred is both not funny and not curious then someone is not strong.
If someone is either not calm or kind then someone is happy or creative and vice versa.
If alice is not brave then someone is creative.
Everyone who is funny is both calm and old and vice versa.
If someone is not wise then someone is not rich and vic... | Fred is patient. | contradiction | (((~funny(fred)&~curious(fred)))=>(?[X]:(~strong(X))))&
((?[X]:((~calm(X)<~>kind(X))))<=>(?[X]:((happy(X)|creative(X)))))&
((~brave(alice))=>(?[X]:(creative(X))))&
(![X]:(funny(X)<=>(calm(X)&old(X))))&
((?[X]:(~wise(X)))<=>(?[X]:(~rich(X))))&
(![X]:((generous(X)|tall(X))=>(~funny(X)<~>brave(X))))&
((?[X]:((wise(X)|old(... | patient(fred) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2456753694788984718477711
% SZS output start Proof for 2456753694788984718477711
11. ! [X0] : ((~strong(X0) | ~curious(X0)) => (quiet(X0) & patient(X0))) [input p10]
15. ? [X0] : patient(X0) => (~humble(mary) & ~patient(mary)) [input p14]
16. ! [X0] : (~humble(X0) => ~curious(X0)) [input ... | 0 |
Everyone who is both curious and not old is not quiet and vice versa.
If someone is not generous or not strong then mary is calm.
Everyone who is wise is both not calm and old.
If lucy is not rich or not tall then someone is both curious and not patient and vice versa.
Everyone who is not patient or not tall is wise an... | Paul is not generous. | contradiction | (![X]:((curious(X)&~old(X))<=>~quiet(X)))&
((?[X]:((~generous(X)|~strong(X))))=>(calm(mary)))&
(![X]:(wise(X)=>(~calm(X)&old(X))))&
(((~rich(lucy)|~tall(lucy)))<=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~patient(X)|~tall(X))<=>wise(X)))&
((?[X]:((brave(X)|~humble(X))))=>((~old(alice)<~>~happy(alice))))&
((strong(ma... | ~generous(paul) | [
"p0",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5645288133865719500745265
% SZS output start Proof for 5645288133865719500745265
1. ! [X0] : ((~old(X0) & curious(X0)) <=> ~quiet(X0)) [input p0]
16. ! [X0] : (~quiet(X0) <=> ~generous(X0)) [input p15]
18. ~curious(paul) | quiet(paul) [input p17]
25. ~generous(paul) [input hypothesis]
34.... | 0 |
Everyone who is not calm or not patient is curious and vice versa.
If lucy is both not humble and not rich then alice is not curious.
If mary is either not patient or wise then someone is both not calm and generous.
Everyone who is not quiet or strong is strong or not patient and vice versa.
If alice is not strong or n... | Lucy is funny. | contradiction | (![X]:((~calm(X)|~patient(X))<=>curious(X)))&
(((~humble(lucy)&~rich(lucy)))=>(~curious(alice)))&
(((~patient(mary)<~>wise(mary)))=>(?[X]:((~calm(X)&generous(X)))))&
(![X]:((~quiet(X)|strong(X))<=>(strong(X)|~patient(X))))&
(((~strong(alice)|~creative(alice)))=>(?[X]:(calm(X))))&
((?[X]:((calm(X)&creative(X))))=>((~tal... | funny(lucy) | [
"p3",
"p9",
"p10",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8710909302697941315709994
% SZS output start Proof for 8710909302697941315709994
4. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (~patient(X0) | strong(X0))) [input p3]
10. ! [X0] : (~calm(X0) <=> (~patient(X0) <~> ~tall(X0))) [input p9]
11. ! [X0] : (~tall(X0) <=> funny(X0)) [input p10]
14. !... | 0 |
If someone is not kind then someone is quiet and vice versa.
If paul is both not curious and not brave then paul is both not humble and old and vice versa.
If fred is not brave then someone is kind or wise.
Everyone who is curious is both brave and not tall and vice versa.
Everyone who is both not happy and kind is eit... | Lucy is not kind. | contradiction | ((?[X]:(~kind(X)))<=>(?[X]:(quiet(X))))&
(((~curious(paul)&~brave(paul)))<=>((~humble(paul)&old(paul))))&
((~brave(fred))=>(?[X]:((kind(X)|wise(X)))))&
(![X]:(curious(X)<=>(brave(X)&~tall(X))))&
(![X]:((~happy(X)&kind(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>~humble(X)))&
(((calm(alice)<~>kind(ali... | ~kind(lucy) | [
"p3",
"p4",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4779940959700814604102633
% SZS output start Proof for 4779940959700814604102633
4. ! [X0] : (curious(X0) <=> (~tall(X0) & brave(X0))) [input p3]
5. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (kind(X0) <~> ~brave(X0))) [input p4]
10. ! [X0] : ((~brave(X0) <~> tall(X0)) <=> (~generous(X0) & ~br... | 0 |
Everyone who is either not tall or not humble is not calm.
If someone is both patient and rich then someone is not curious.
Everyone who is both funny and humble is kind and vice versa.
Everyone who is not happy or not curious is not funny or patient and vice versa.
If susan is not happy then someone is funny or quiet.... | Alice is strong. | entailment | (![X]:((~tall(X)<~>~humble(X))=>~calm(X)))&
((?[X]:((patient(X)&rich(X))))=>(?[X]:(~curious(X))))&
(![X]:((funny(X)&humble(X))<=>kind(X)))&
(![X]:((~happy(X)|~curious(X))<=>(~funny(X)|patient(X))))&
((~happy(susan))=>(?[X]:((funny(X)|quiet(X)))))&
(![X]:(~curious(X)<=>(~creative(X)&brave(X))))&
(![X]:((tall(X)<~>kind(X... | strong(alice) | [
"p2",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 179079020324163772407603
% SZS output start Proof for 179079020324163772407603
3. ! [X0] : ((humble(X0) & funny(X0)) <=> kind(X0)) [input p2]
14. ! [X0] : (~kind(X0) => (strong(X0) & rich(X0))) [input p13]
15. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (creative(X0) | humble(X0))) [input p14]
2... | 0 |
If someone is both happy and not quiet then someone is either not brave or not calm.
Everyone who is both patient and not wise is both not strong and not tall.
Everyone who is creative is not old or humble and vice versa.
Everyone who is either kind or not creative is not kind.
Everyone who is either generous or not ta... | Fred is not old. | entailment | ((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~brave(X)<~>~calm(X)))))&
(![X]:((patient(X)&~wise(X))=>(~strong(X)&~tall(X))))&
(![X]:(creative(X)<=>(~old(X)|humble(X))))&
(![X]:((kind(X)<~>~creative(X))=>~kind(X)))&
(![X]:((generous(X)<~>~tall(X))=>(~strong(X)&~brave(X))))&
(((patient(john)|funny(john)))<=>(?[X]:((~curious(X... | ~old(fred) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7887478243664510279131617
% SZS output start Proof for 7887478243664510279131617
11. ! [X0] : (~kind(X0) => (creative(X0) & ~old(X0))) [input p10]
17. ~kind(fred) & ~humble(fred) [input p16]
25. old(fred) [input hypothesis]
38. ! [X0] : ((creative(X0) & ~old(X0)) | kind(X0)) [ennf transfo... | 0 |
If someone is either not curious or tall then fred is not patient or kind.
If alice is both not funny and not happy then someone is either rich or not curious and vice versa.
If john is not humble or calm then john is either brave or not rich and vice versa.
Everyone who is both quiet and happy is old or happy and vice... | John is creative. | contradiction | ((?[X]:((~curious(X)<~>tall(X))))=>((~patient(fred)|kind(fred))))&
(((~funny(alice)&~happy(alice)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((~humble(john)|calm(john)))<=>((brave(john)<~>~rich(john))))&
(![X]:((quiet(X)&happy(X))<=>(old(X)|happy(X))))&
(((~curious(mary)&rich(mary)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]... | creative(john) | [
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1579404527815660642901827
% SZS output start Proof for 1579404527815660642901827
7. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (creative(X0) & generous(X0))) [input p6]
8. ! [X0] : ((calm(X0) | tall(X0)) => ~generous(X0)) [input p7]
10. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> ~generous(X0... | 0 |
Everyone who is both calm and not generous is either creative or not calm. If someone is either rich or not generous then fred is quiet. If paul is quiet or patient then paul is not brave or patient and vice versa. Everyone who is both funny and generous is happy and vice versa. Everyone who is humble or not creative i... | Mary is creative. | neutral | (![X]:((calm(X)&~generous(X))=>(creative(X)<~>~calm(X))))&
((?[X]:((rich(X)<~>~generous(X))))=>(quiet(fred)))&
(((quiet(paul)|patient(paul)))<=>((~brave(paul)|patient(paul))))&
(![X]:((funny(X)&generous(X))<=>happy(X)))&
(![X]:((humble(X)|~creative(X))=>calm(X)))&
(![X]:((wise(X)&~patient(X))=>(curious(X)&~curious(X)))... | creative(mary) | [] | null | 0 |
If someone is tall then someone is either not generous or funny.
If someone is brave then lucy is either brave or patient and vice versa.
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... | Paul is funny. | contradiction | ((?[X]:(tall(X)))=>(?[X]:((~generous(X)<~>funny(X)))))&
((?[X]:(brave(X)))<=>((brave(lucy)<~>patient(lucy))))&
(![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(su... | funny(paul) | [
"p4",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 474928654906133843873241
% SZS output start Proof for 474928654906133843873241
5. ! [X0] : ((wise(X0) | ~quiet(X0)) => (wise(X0) & ~wise(X0))) [input p4]
10. ! [X0] : (~rich(X0) <=> (tall(X0) | funny(X0))) [input p9]
12. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (rich(X0) & ~tall(X0)))... | 0 |
If lucy is not curious then paul is not rich and vice versa.
If alice is both not quiet and old then someone is not strong or patient.
If susan is either not quiet or patient then someone is either not calm or calm.
If alice is both not creative and not wise then someone is not wise or not kind.
If susan is not creativ... | John is not generous. | entailment | ((~curious(lucy))<=>(~rich(paul)))&
(((~quiet(alice)&old(alice)))=>(?[X]:((~strong(X)|patient(X)))))&
(((~quiet(susan)<~>patient(susan)))=>(?[X]:((~calm(X)<~>calm(X)))))&
(((~creative(alice)&~wise(alice)))=>(?[X]:((~wise(X)|~kind(X)))))&
(((~creative(susan)|~curious(susan)))<=>(~old(john)))&
((?[X]:((rich(X)|curious(X)... | ~generous(john) | [
"p11",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1308568103405591547686622
% SZS output start Proof for 1308568103405591547686622
12. ! [X0] : (~strong(X0) <=> ~tall(X0)) [input p11]
14. ! [X0] : ((patient(X0) <~> ~tall(X0)) <=> (kind(X0) <~> patient(X0))) [input p13]
16. ! [X0] : ((patient(X0) | creative(X0)) <=> (generous(X0) <~> kind... | 0 |
Everyone who is not brave is both not patient and strong.
If paul is curious then alice is both rich and wise and vice versa.
If john is either funny or generous then someone is not old or not tall and vice versa.
Everyone who is either not happy or not kind is strong or quiet and vice versa.
If someone is both not gen... | Lucy is not generous. | contradiction | (![X]:(~brave(X)=>(~patient(X)&strong(X))))&
((curious(paul))<=>((rich(alice)&wise(alice))))&
(((funny(john)<~>generous(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~happy(X)<~>~kind(X))<=>(strong(X)|quiet(X))))&
((?[X]:((~generous(X)&strong(X))))<=>((happy(john)<~>~kind(john))))&
(![X]:((~generous(X)&wise(X))=>(gen... | ~generous(lucy) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8735070914346490944226775
% SZS output start Proof for 8735070914346490944226775
12. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~generous(X0) & wise(X0))) [input p11]
16. ! [X0] : ((quiet(X0) & wise(X0)) <=> ~wise(X0)) [input p15]
24. ~generous(lucy) [input hypothesis]
57. ! [X0] : (((~happy... | 0 |
Everyone who is both not rich and patient is either kind or not old. Everyone who is both not quiet and not humble is not humble or not curious. If someone is both old and not quiet then paul is both not quiet and not generous. Everyone who is brave is both not old and wise. Everyone who is either happy or quiet is not... | Mary is quiet. | contradiction | (![X]:((~rich(X)&patient(X))=>(kind(X)<~>~old(X))))&
(![X]:((~quiet(X)&~humble(X))=>(~humble(X)|~curious(X))))&
((?[X]:((old(X)&~quiet(X))))=>((~quiet(paul)&~generous(paul))))&
(![X]:(brave(X)=>(~old(X)&wise(X))))&
(![X]:((happy(X)<~>quiet(X))<=>~wise(X)))&
(((calm(paul)&~curious(paul)))<=>(?[X]:((~kind(X)&~wise(X)))))... | quiet(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1251591595548934974126988
% SZS output start Proof for 1251591595548934974126988
12. ! [X0] : ((calm(X0) | ~calm(X0)) <=> ~quiet(X0)) [input p11]
24. quiet(mary) [input hypothesis]
47. ! [X0] : (((calm(X0) | ~calm(X0)) | quiet(X0)) & (~quiet(X0) | (~calm(X0) & calm(X0)))) [nnf transformat... | 0 |
Everyone who is not rich is either not quiet or old and vice versa.
Everyone who is not patient is both not patient and tall.
If john is both not rich and happy then someone is both funny and not funny.
If susan is either happy or not generous then mary is not tall.
If someone is both not quiet and not rich then someon... | John is generous. | neutral | (![X]:(~rich(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(~patient(X)=>(~patient(X)&tall(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((funny(X)&~funny(X)))))&
(((happy(susan)<~>~generous(susan)))=>(~tall(mary)))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(hap... | generous(john) | [] | null | 0 |
If susan is either funny or happy then mary is funny and vice versa. Everyone who is both not rich and strong is both brave and kind and vice versa. If lucy is patient then fred is not creative or not quiet and vice versa. Everyone who is either not calm or creative is both not brave and strong and vice versa. Everyone... | John is patient. | entailment | (((funny(susan)<~>happy(susan)))<=>(funny(mary)))&
(![X]:((~rich(X)&strong(X))<=>(brave(X)&kind(X))))&
((patient(lucy))<=>((~creative(fred)|~quiet(fred))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)&strong(X))))&
(![X]:((~patient(X)&~humble(X))<=>(~brave(X)<~>~wise(X))))&
(((brave(john)&humble(john)))=>((~rich(susan... | patient(john) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1199744751492824891292368
% SZS output start Proof for 1199744751492824891292368
2. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (kind(X0) & brave(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~brave(X0) <~> ~wise(X0))) [input p4]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) => ~ri... | 0 |
Everyone who is not tall or happy is kind and vice versa. If alice is both tall and rich then someone is happy or not curious. If someone is both generous and old then fred is not funny or strong. If mary is both not brave and not quiet then fred is both humble and generous. Everyone who is either patient or not humble... | Alice is old. | neutral | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((tall(alice)&rich(alice)))=>(?[X]:((happy(X)|~curious(X)))))&
((?[X]:((generous(X)&old(X))))=>((~funny(fred)|strong(fred))))&
(((~brave(mary)&~quiet(mary)))=>((humble(fred)&generous(fred))))&
(![X]:((patient(X)<~>~humble(X))=>(funny(X)<~>~wise(X))))&
((?[X]:((quiet(X)|rich(X)))... | old(alice) | [] | null | 0 |
Everyone who is rich or not wise is both kind and not curious. Everyone who is not creative is either brave or not rich and vice versa. Everyone who is old is not rich and vice versa. If fred is patient then lucy is not curious or happy. Everyone who is both not patient and rich is both creative and not humble and vice... | Lucy is generous. | contradiction | (![X]:((rich(X)|~wise(X))=>(kind(X)&~curious(X))))&
(![X]:(~creative(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X... | generous(lucy) | [
"p1",
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8087215015705502210967728
% SZS output start Proof for 8087215015705502210967728
2. ! [X0] : (~creative(X0) <=> (brave(X0) <~> ~rich(X0))) [input p1]
3. ! [X0] : (old(X0) <=> ~rich(X0)) [input p2]
6. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) | generous(X0))) [input p5]
7. ! [X0] : ((... | 0 |
Everyone who is both not rich and patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise then mary is not humble and vice versa.
Everyone who is not wise is either not tall or not humble.
Everyone who is both not old and not... | Lucy is curious. | entailment | (![X]:((~rich(X)&patient(X))<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(![X]:((strong(X)|creative(X))=>(~quiet(X)&funny(X))))&
(![X]:((~... | curious(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5774157298345145613809782
% SZS output start Proof for 5774157298345145613809782
1. ! [X0] : ((patient(X0) & ~rich(X0)) <=> (~strong(X0) <~> quiet(X0))) [input p0]
4. ! [X0] : (~wise(X0) => (~tall(X0) <~> ~humble(X0))) [input p3]
5. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (~tall(X0) | creat... | 0 |
If alice is both not old and humble then susan is both tall and generous.
Everyone who is quiet is both humble and not old.
Everyone who is either kind or patient is both kind and not curious and vice versa.
If lucy is either not strong or not tall then john is not funny and vice versa.
Everyone who is both creative an... | Susan is generous. | neutral | (((~old(alice)&humble(alice)))=>((tall(susan)&generous(susan))))&
(![X]:(quiet(X)=>(humble(X)&~old(X))))&
(![X]:((kind(X)<~>patient(X))<=>(kind(X)&~curious(X))))&
(((~strong(lucy)<~>~tall(lucy)))<=>(~funny(john)))&
(![X]:((creative(X)&kind(X))<=>(~old(X)|~strong(X))))&
(![X]:(funny(X)<=>(~wise(X)<~>~strong(X))))&
(![X]... | generous(susan) | [] | null | 0 |
Everyone who is either happy or not humble is both happy and generous and vice versa.
If someone is either old or not tall then susan is either tall or wise.
Everyone who is quiet or not funny is not funny and vice versa.
Everyone who is either funny or happy is both not tall and humble.
If fred is either tall or funny... | Lucy is not curious. | contradiction | (![X]:((happy(X)<~>~humble(X))<=>(happy(X)&generous(X))))&
((?[X]:((old(X)<~>~tall(X))))=>((tall(susan)<~>wise(susan))))&
(![X]:((quiet(X)|~funny(X))<=>~funny(X)))&
(![X]:((funny(X)<~>happy(X))=>(~tall(X)&humble(X))))&
(((tall(fred)<~>funny(fred)))=>(?[X]:((~patient(X)<~>~creative(X)))))&
(![X]:((~brave(X)&brave(X))<=>... | ~curious(lucy) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3604225701045995971153675
% SZS output start Proof for 3604225701045995971153675
1. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> (generous(X0) & happy(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | quiet(X0)) <=> ~funny(X0)) [input p2]
4. ! [X0] : ((funny(X0) <~> happy(X0)) => (humble(X0) & ~ta... | 0 |
Everyone who is either funny or tall is either tall or brave and vice versa.
Everyone who is either funny or patient is both quiet and not creative and vice versa.
If someone is either patient or curious then paul is both not generous and quiet and vice versa.
If someone is both not funny and tall then susan is both no... | Alice is strong. | contradiction | (![X]:((funny(X)<~>tall(X))<=>(tall(X)<~>brave(X))))&
(![X]:((funny(X)<~>patient(X))<=>(quiet(X)&~creative(X))))&
((?[X]:((patient(X)<~>curious(X))))<=>((~generous(paul)&quiet(paul))))&
((?[X]:((~funny(X)&tall(X))))=>((~brave(susan)&~wise(susan))))&
(((brave(john)&~old(john)))<=>(?[X]:((old(X)<~>~curious(X)))))&
(![X]:... | strong(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7403333766106968214571039
% SZS output start Proof for 7403333766106968214571039
7. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (curious(X0) | strong(X0))) [input p6]
25. strong(alice) [input hypothesis]
52. ! [X0] : (((creative(X0) & ~creative(X0)) | (~curious(X0) & ~strong(X0))) & ((cu... | 0 |
If someone is not funny or not generous then someone is both not rich and calm.
Everyone who is kind is both curious and not rich.
If someone is both not calm and creative then fred is not humble or brave.
Everyone who is not calm is funny or creative.
Everyone who is happy is either not humble or rich.
Everyone who is... | John is not patient. | neutral | ((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((~rich(X)&calm(X)))))&
(![X]:(kind(X)=>(curious(X)&~rich(X))))&
((?[X]:((~calm(X)&creative(X))))=>((~humble(fred)|brave(fred))))&
(![X]:(~calm(X)=>(funny(X)|creative(X))))&
(![X]:(happy(X)=>(~humble(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(~creative(X)&old(X))))&
((?[X]:((funny(X)&... | ~patient(john) | [] | null | 0 |
If someone is either not kind or strong then mary is both brave and not calm and vice versa.
Everyone who is both not happy and not tall is rich or tall and vice versa.
If someone is strong or patient then someone is either not rich or creative and vice versa.
Everyone who is not humble is not funny.
Everyone who is bo... | John is not tall. | entailment | ((?[X]:((~kind(X)<~>strong(X))))<=>((brave(mary)&~calm(mary))))&
(![X]:((~happy(X)&~tall(X))<=>(rich(X)|tall(X))))&
((?[X]:((strong(X)|patient(X))))<=>(?[X]:((~rich(X)<~>creative(X)))))&
(![X]:(~humble(X)=>~funny(X)))&
(![X]:((~curious(X)&~happy(X))=>generous(X)))&
(![X]:((rich(X)|generous(X))=>strong(X)))&
(![X]:(~kin... | ~tall(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7110829479295304634313939
% SZS output start Proof for 7110829479295304634313939
2. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (tall(X0) | rich(X0))) [input p1]
24. tall(john) [input hypothesis]
43. ! [X0] : (((~tall(X0) & ~happy(X0)) | (~tall(X0) & ~rich(X0))) & ((tall(X0) | rich(X0)) | (tal... | 0 |
If someone is either not humble or creative then john is curious or not creative.
Everyone who is either quiet or not calm is both tall and not patient.
Everyone who is either not wise or not humble is either strong or not wise and vice versa.
If someone is happy or creative then paul is either not strong or not genero... | Lucy is not calm. | entailment | ((?[X]:((~humble(X)<~>creative(X))))=>((curious(john)|~creative(john))))&
(![X]:((quiet(X)<~>~calm(X))=>(tall(X)&~patient(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(strong(X)<~>~wise(X))))&
((?[X]:((happy(X)|creative(X))))<=>((~strong(paul)<~>~generous(paul))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:(strong(X))))&
((?[X]:... | ~calm(lucy) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7317701287664118144415041
% SZS output start Proof for 7317701287664118144415041
6. ? [X0] : (~calm(X0) <~> ~creative(X0)) <=> (~old(lucy) & ~wise(lucy)) [input p5]
22. wise(lucy) & ~creative(lucy) [input p21]
24. calm(lucy) [input hypothesis]
47. (? [X0] : ((creative(X0) | calm(X0)) & (~... | 0 |
Everyone who is funny or rich is not kind and vice versa.
Everyone who is either old or strong is both not strong and curious.
If someone is either creative or humble then someone is not patient and vice versa.
If someone is not brave then someone is either not calm or generous and vice versa.
Everyone who is not rich ... | Fred is kind. | contradiction | (![X]:((funny(X)|rich(X))<=>~kind(X)))&
(![X]:((old(X)<~>strong(X))=>(~strong(X)&curious(X))))&
((?[X]:((creative(X)<~>humble(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:(~rich(X)<=>~happy(X)))&
((?[X]:((~generous(X)&kind(X))))=>(~calm(alice)))&
(![X]:(~generous(X)<=>(... | kind(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8841208354982133981610840
% SZS output start Proof for 8841208354982133981610840
1. ! [X0] : ((rich(X0) | funny(X0)) <=> ~kind(X0)) [input p0]
11. ! [X0] : ((rich(X0) | kind(X0)) => (rich(X0) & happy(X0))) [input p10]
24. kind(fred) [input hypothesis]
32. ! [X0] : ((rich(X0) & happy(X0)) ... | 0 |
Everyone who is generous is both tall and not happy.
Everyone who is both funny and brave is not old and vice versa.
Everyone who is not generous is not happy and vice versa.
If someone is both not brave and not strong then lucy is either not tall or rich and vice versa.
Everyone who is old or not calm is tall or quiet... | Mary is rich. | contradiction | (![X]:(generous(X)=>(tall(X)&~happy(X))))&
(![X]:((funny(X)&brave(X))<=>~old(X)))&
(![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~... | rich(mary) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8016247531747798711527267
% SZS output start Proof for 8016247531747798711527267
1. ! [X0] : (generous(X0) => (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((brave(X0) & funny(X0)) <=> ~old(X0)) [input p1]
3. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p2]
6. ! [X0] : ((old(X0) & ~wi... | 0 |
Everyone who is both not creative and not strong is both happy and not tall and vice versa.
If lucy is either not generous or creative then someone is both not kind and not quiet.
If alice is either not rich or not patient then someone is not strong and vice versa.
Everyone who is either not curious or tall is not curi... | John is not brave. | neutral | (![X]:((~creative(X)&~strong(X))<=>(happy(X)&~tall(X))))&
(((~generous(lucy)<~>creative(lucy)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((~rich(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)<~>tall(X))=>(~curious(X)|~strong(X))))&
(((~funny(susan)|quiet(susan)))=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)<... | ~brave(john) | [] | null | 0 |
Everyone who is both tall and not creative is strong or humble and vice versa. Everyone who is quiet is both not patient and wise and vice versa. If lucy is both not humble and quiet then alice is both not humble and not generous. Everyone who is rich is not rich. Everyone who is generous is both not brave and calm and... | Fred is curious. | neutral | (![X]:((tall(X)&~creative(X))<=>(strong(X)|humble(X))))&
(![X]:(quiet(X)<=>(~patient(X)&wise(X))))&
(((~humble(lucy)&quiet(lucy)))=>((~humble(alice)&~generous(alice))))&
(![X]:(rich(X)=>~rich(X)))&
(![X]:(generous(X)<=>(~brave(X)&calm(X))))&
((?[X]:((calm(X)|creative(X))))=>((~curious(fred)<~>happy(fred))))&
((wise(fre... | curious(fred) | [] | null | 0 |
Everyone who is not strong or wise is either tall or not quiet.
If fred is patient or not wise then someone is both not happy and calm and vice versa.
If someone is both funny and brave then someone is both not calm and rich.
If someone is not wise or not funny then fred is brave or happy and vice versa.
If someone is ... | Susan is happy. | contradiction | (![X]:((~strong(X)|wise(X))=>(tall(X)<~>~quiet(X))))&
(((patient(fred)|~wise(fred)))<=>(?[X]:((~happy(X)&calm(X)))))&
((?[X]:((funny(X)&brave(X))))=>(?[X]:((~calm(X)&rich(X)))))&
((?[X]:((~wise(X)|~funny(X))))<=>((brave(fred)|happy(fred))))&
((?[X]:((calm(X)<~>wise(X))))=>(?[X]:((tall(X)&brave(X)))))&
(![X]:((~rich(X)|... | happy(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6346605147783717698559414
% SZS output start Proof for 6346605147783717698559414
10. ! [X0] : ((calm(X0) & ~happy(X0)) <=> (curious(X0) | happy(X0))) [input p9]
22. happy(susan) [input hypothesis]
59. ! [X0] : (((calm(X0) & ~happy(X0)) | (~curious(X0) & ~happy(X0))) & ((curious(X0) | happ... | 0 |
Everyone who is creative or not tall is tall and vice versa. If fred is rich then someone is funny or curious and vice versa. If fred is tall or calm then lucy is not strong and vice versa. If someone is calm then someone is not patient. Everyone who is not old or brave is both not happy and not tall. If lucy is either... | Susan is tall. | entailment | (![X]:((creative(X)|~tall(X))<=>tall(X)))&
((rich(fred))<=>(?[X]:((funny(X)|curious(X)))))&
(((tall(fred)|calm(fred)))<=>(~strong(lucy)))&
((?[X]:(calm(X)))=>(?[X]:(~patient(X))))&
(![X]:((~old(X)|brave(X))=>(~happy(X)&~tall(X))))&
(((generous(lucy)<~>wise(lucy)))=>(?[X]:((generous(X)|~rich(X)))))&
(![X]:((~old(X)|curi... | tall(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5429852061444889283627747
% SZS output start Proof for 5429852061444889283627747
1. ! [X0] : ((~tall(X0) | creative(X0)) <=> tall(X0)) [input p0]
25. ~tall(susan) [input hypothesis]
39. ! [X0] : (((~tall(X0) | creative(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) & ~creative(X0)))) [nnf tran... | 0 |
Everyone who is both not rich and quiet is strong or quiet. Everyone who is quiet or creative is humble or calm and vice versa. Everyone who is both not old and wise is brave or curious and vice versa. If someone is rich then susan is both not strong and tall and vice versa. Everyone who is both not curious and tall is... | Lucy is brave. | neutral | (![X]:((~rich(X)&quiet(X))=>(strong(X)|quiet(X))))&
(![X]:((quiet(X)|creative(X))<=>(humble(X)|calm(X))))&
(![X]:((~old(X)&wise(X))<=>(brave(X)|curious(X))))&
((?[X]:(rich(X)))<=>((~strong(susan)&tall(susan))))&
(![X]:((~curious(X)&tall(X))<=>(calm(X)&~creative(X))))&
(![X]:((tall(X)<~>calm(X))=>(wise(X)|~kind(X))))&
(... | brave(lucy) | [] | null | 0 |
Everyone who is not rich or creative is old. Everyone who is either wise or generous is both not wise and wise and vice versa. If fred is either not wise or generous then alice is either not quiet or calm and vice versa. Everyone who is either not kind or calm is both calm and happy and vice versa. Everyone who is eith... | Mary is generous. | contradiction | (![X]:((~rich(X)|creative(X))=>old(X)))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)&wise(X))))&
(((~wise(fred)<~>generous(fred)))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:((~kind(X)<~>calm(X))<=>(calm(X)&happy(X))))&
(![X]:((~kind(X)<~>patient(X))=>(~happy(X)&generous(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(... | generous(mary) | [
"p1",
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4308879235062557807507351
% SZS output start Proof for 4308879235062557807507351
2. ! [X0] : ((wise(X0) <~> generous(X0)) <=> (wise(X0) & ~wise(X0))) [input p1]
4. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (happy(X0) & calm(X0))) [input p3]
10. ! [X0] : ((wise(X0) | funny(X0)) <=> (~calm(X0)... | 0 |
If lucy is not calm then paul is not strong. Everyone who is either wise or not old is either creative or not creative and vice versa. Everyone who is either tall or not old is not strong or not old and vice versa. Everyone who is either rich or creative is not kind or patient and vice versa. Everyone who is both not s... | John is not calm. | contradiction | ((~calm(lucy))=>(~strong(paul)))&
(![X]:((wise(X)<~>~old(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((tall(X)<~>~old(X))<=>(~strong(X)|~old(X))))&
(![X]:((rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:((~strong(X)&~happy(X))<=>(calm(X)|~humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
... | ~calm(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 737009763461455894349460
% SZS output start Proof for 737009763461455894349460
5. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~humble(X0) | calm(X0))) [input p4]
6. ? [X0] : strong(X0) <=> ? [X0] : (curious(X0) <~> ~brave(X0)) [input p5]
8. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (wise(X... | 0 |
If someone is kind or strong then paul is quiet.
If someone is either not happy or not calm then alice is both tall and not rich and vice versa.
If someone is not calm or not brave then someone is not calm.
If john is both tall and patient then someone is funny or humble and vice versa.
Everyone who is both humble and ... | Alice is not quiet. | entailment | ((?[X]:((kind(X)|strong(X))))=>(quiet(paul)))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((tall(alice)&~rich(alice))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:(~calm(X))))&
(((tall(john)&patient(john)))<=>(?[X]:((funny(X)|humble(X)))))&
(![X]:((humble(X)&calm(X))=>(~curious(X)|humble(X))))&
(![X]:((~strong(X)&~brave(X))<=>(hap... | ~quiet(alice) | [
"p7",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 284593560858936903752291
% SZS output start Proof for 284593560858936903752291
8. ! [X0] : ((~creative(X0) | humble(X0)) => (humble(X0) <~> ~happy(X0))) [input p7]
14. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> happy(X0)) [input p13]
23. humble(alice) [input p22]
25. quiet(alice) [input h... | 0 |
If alice is both not humble and calm then someone is not strong and vice versa.
Everyone who is both not tall and calm is either not humble or humble and vice versa.
Everyone who is both not wise and not rich is calm or rich.
Everyone who is quiet or patient is not curious or not humble and vice versa.
If mary is wise ... | Susan is tall. | contradiction | (((~humble(alice)&calm(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~tall(X)&calm(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((~wise(X)&~rich(X))=>(calm(X)|rich(X))))&
(![X]:((quiet(X)|patient(X))<=>(~curious(X)|~humble(X))))&
((wise(mary))<=>((~kind(paul)&funny(paul))))&
(![X]:((creative(X)<~>~curious(X))=>(rich(X)&~humble(X... | tall(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 343147730368874612947510
% SZS output start Proof for 343147730368874612947510
2. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~humble(X0) <~> humble(X0))) [input p1]
22. tall(susan) [input hypothesis]
36. ! [X0] : (((calm(X0) & ~tall(X0)) | ((~humble(X0) | ~humble(X0)) & (humble(X0) | humble(X0... | 0 |
If someone is not funny or old then someone is not rich and vice versa. Everyone who is both not creative and not strong is both kind and creative. Everyone who is happy is not brave. If someone is either strong or rich then someone is both not strong and not curious and vice versa. Everyone who is quiet is curious and... | Fred is brave. | entailment | ((?[X]:((~funny(X)|old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))=>(kind(X)&creative(X))))&
(![X]:(happy(X)=>~brave(X)))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:(quiet(X)<=>curious(X)))&
(((old(alice)&~old(alice)))<=>((~brave(mary)<~>kind(mary))))&
(![X]:((~brave(X... | brave(fred) | [
"p8",
"p9",
"p11",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8212811077267243758842313
% SZS output start Proof for 8212811077267243758842313
9. ! [X0] : ((curious(X0) & wise(X0)) <=> (~tall(X0) <~> ~creative(X0))) [input p8]
10. ! [X0] : ((~patient(X0) | happy(X0)) => (wise(X0) & ~quiet(X0))) [input p9]
12. ! [X0] : (~tall(X0) <=> (~wise(X0) & gen... | 0 |
If someone is either not curious or old then susan is both happy and wise and vice versa.
If mary is either not creative or not funny then fred is both old and not wise and vice versa.
Everyone who is not wise is both not humble and brave.
Everyone who is not tall or not wise is tall.
If lucy is both quiet and not old ... | Paul is kind. | neutral | ((?[X]:((~curious(X)<~>old(X))))<=>((happy(susan)&wise(susan))))&
(((~creative(mary)<~>~funny(mary)))<=>((old(fred)&~wise(fred))))&
(![X]:(~wise(X)=>(~humble(X)&brave(X))))&
(![X]:((~tall(X)|~wise(X))=>tall(X)))&
(((quiet(lucy)&~old(lucy)))<=>(?[X]:((calm(X)&brave(X)))))&
(((~strong(lucy)&~patient(lucy)))<=>(?[X]:((old... | kind(paul) | [] | null | 0 |
If paul is not tall then someone is not patient. If someone is not creative then someone is either not curious or quiet. If someone is either happy or not brave then someone is both happy and creative and vice versa. Everyone who is not rich is either not rich or curious and vice versa. Everyone who is not curious is n... | Paul is kind. | entailment | ((~tall(paul))=>(?[X]:(~patient(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)<~>~brave(X))))<=>(?[X]:((happy(X)&creative(X)))))&
(![X]:(~rich(X)<=>(~rich(X)<~>curious(X))))&
(![X]:(~curious(X)<=>~happy(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((happy(X)&pati... | kind(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1572808118344641787696850
% SZS output start Proof for 1572808118344641787696850
3. ? [X0] : (happy(X0) <~> ~brave(X0)) <=> ? [X0] : (creative(X0) & happy(X0)) [input p2]
4. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> curious(X0))) [input p3]
5. ! [X0] : (~curious(X0) <=> ~happy(X0)) [input p4... | 0 |
If someone is creative then lucy is happy.
If susan is not generous then someone is not curious.
If someone is both calm and curious then someone is old or not old and vice versa.
If alice is not strong then someone is strong.
Everyone who is both curious and humble is not kind or not humble and vice versa.
If mary is ... | Mary is generous. | entailment | ((?[X]:(creative(X)))=>(happy(lucy)))&
((~generous(susan))=>(?[X]:(~curious(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:((old(X)|~old(X)))))&
((~strong(alice))=>(?[X]:(strong(X))))&
(![X]:((curious(X)&humble(X))<=>(~kind(X)|~humble(X))))&
(((~creative(mary)&kind(mary)))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((~rich... | generous(mary) | [
"p5",
"p6",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3053411331019909500780744
% SZS output start Proof for 3053411331019909500780744
6. (kind(mary) & ~creative(mary)) <=> ? [X0] : (~rich(X0) | ~funny(X0)) [input p5]
7. ! [X0] : ((calm(X0) & ~rich(X0)) <=> quiet(X0)) [input p6]
16. ! [X0] : ((generous(X0) & quiet(X0)) <=> kind(X0)) [input p... | 0 |
Everyone who is either not kind or generous is both tall and quiet.
If mary is both curious and strong then fred is either funny or rich.
If mary is kind or not kind then someone is generous or not patient and vice versa.
Everyone who is not brave is not kind or strong.
Everyone who is both not wise and generous is eit... | Paul is not wise. | neutral | (![X]:((~kind(X)<~>generous(X))=>(tall(X)&quiet(X))))&
(((curious(mary)&strong(mary)))=>((funny(fred)<~>rich(fred))))&
(((kind(mary)|~kind(mary)))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
(![X]:((~wise(X)&generous(X))=>(~kind(X)<~>old(X))))&
(![X]:((~happy(X)&kind(X))=>(~calm(X)|... | ~wise(paul) | [] | null | 0 |
If susan is either humble or not quiet then someone is patient or not funny.
Everyone who is both not rich and not old is either not kind or not patient and vice versa.
Everyone who is old or patient is not calm or not kind and vice versa.
Everyone who is funny is not calm or old and vice versa.
Everyone who is calm is... | Susan is happy. | neutral | (((humble(susan)<~>~quiet(susan)))=>(?[X]:((patient(X)|~funny(X)))))&
(![X]:((~rich(X)&~old(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((old(X)|patient(X))<=>(~calm(X)|~kind(X))))&
(![X]:(funny(X)<=>(~calm(X)|old(X))))&
(![X]:(calm(X)=>(~happy(X)&~quiet(X))))&
(((~calm(alice)<~>curious(alice)))<=>(?[X]:((calm(X)<~>patient... | happy(susan) | [] | null | 0 |
Everyone who is not rich or not creative is both patient and brave.
If john is calm or creative then paul is both kind and not generous.
If john is kind then john is rich or not patient.
Everyone who is either humble or kind is both not brave and wise and vice versa.
If susan is brave or kind then someone is quiet.
If ... | John is not rich. | contradiction | (![X]:((~rich(X)|~creative(X))=>(patient(X)&brave(X))))&
(((calm(john)|creative(john)))=>((kind(paul)&~generous(paul))))&
((kind(john))=>((rich(john)|~patient(john))))&
(![X]:((humble(X)<~>kind(X))<=>(~brave(X)&wise(X))))&
(((brave(susan)|kind(susan)))=>(?[X]:(quiet(X))))&
(((~quiet(lucy)<~>funny(lucy)))<=>(generous(al... | ~rich(john) | [
"p0",
"p2",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1189970777435097682322778
% SZS output start Proof for 1189970777435097682322778
1. ! [X0] : ((~creative(X0) | ~rich(X0)) => (brave(X0) & patient(X0))) [input p0]
3. kind(john) => (~patient(john) | rich(john)) [input p2]
16. ? [X0] : kind(X0) <=> kind(john) [input p15]
22. ? [X0] : (gener... | 0 |
Everyone who is both not creative and not old is either wise or happy.
Everyone who is not strong is either not happy or kind.
Everyone who is not happy is both not rich and not happy and vice versa.
If fred is either funny or happy then alice is not rich.
Everyone who is not curious or not tall is not happy or not old... | Lucy is patient. | neutral | (![X]:((~creative(X)&~old(X))=>(wise(X)<~>happy(X))))&
(![X]:(~strong(X)=>(~happy(X)<~>kind(X))))&
(![X]:(~happy(X)<=>(~rich(X)&~happy(X))))&
(((funny(fred)<~>happy(fred)))=>(~rich(alice)))&
(![X]:((~curious(X)|~tall(X))=>(~happy(X)|~old(X))))&
(((quiet(fred)<~>funny(fred)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:((... | patient(lucy) | [] | null | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Lucy is tall. | contradiction | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | tall(lucy) | [
"p2",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6515723828084375790327383
% SZS output start Proof for 6515723828084375790327383
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
12. ? [X0] : kind(X0) <=> (funny(alice) & generous(alice)) [input p11]
13. ! [X0] : ((~wise(X0) | tall(X0)) <=> (patient(X0) & ~kind(X0))) [input p12]
14. ! [X... | 0 |
Everyone who is both not generous and kind is either humble or wise. Everyone who is not tall or patient is not happy or happy and vice versa. If someone is both not rich and not curious then susan is both not funny and not wise. Everyone who is not tall is not brave or old. If john is quiet then someone is either gene... | Susan is not creative. | entailment | (![X]:((~generous(X)&kind(X))=>(humble(X)<~>wise(X))))&
(![X]:((~tall(X)|patient(X))<=>(~happy(X)|happy(X))))&
((?[X]:((~rich(X)&~curious(X))))=>((~funny(susan)&~wise(susan))))&
(![X]:(~tall(X)=>(~brave(X)|old(X))))&
((quiet(john))=>(?[X]:((generous(X)<~>~quiet(X)))))&
((?[X]:((~strong(X)|~funny(X))))=>((brave(lucy)<~>... | ~creative(susan) | [
"p8",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2644937263499061725118954
% SZS output start Proof for 2644937263499061725118954
9. ! [X0] : ((creative(X0) | brave(X0)) <=> calm(X0)) [input p8]
13. ! [X0] : (~tall(X0) => ~calm(X0)) [input p12]
14. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> ~curious(X0)) [input p13]
16. ! [X0] : ((rich(X0... | 0 |
Everyone who is quiet is not tall.
Everyone who is both patient and not quiet is both humble and not funny and vice versa.
If someone is not patient then someone is patient or wise and vice versa.
Everyone who is both old and not curious is either wise or not curious.
Everyone who is tall or not brave is rich.
Everyone... | Susan is quiet. | entailment | (![X]:(quiet(X)=>~tall(X)))&
(![X]:((patient(X)&~quiet(X))<=>(humble(X)&~funny(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((old(X)&~curious(X))=>(wise(X)<~>~curious(X))))&
(![X]:((tall(X)|~brave(X))=>rich(X)))&
(![X]:((~patient(X)|~quiet(X))<=>(humble(X)&~happy(X))))&
(((~strong(paul)|~brave(p... | quiet(susan) | [
"p1",
"p5",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4804633263185555639522439
% SZS output start Proof for 4804633263185555639522439
2. ! [X0] : ((~quiet(X0) & patient(X0)) <=> (~funny(X0) & humble(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (~happy(X0) & humble(X0))) [input p5]
9. ! [X0] : ((~wise(X0) <~> patient(X0)) <=... | 0 |
If lucy is not happy or not patient then someone is not rich or not wise.
If someone is both kind and not quiet then someone is not brave.
If paul is both generous and humble then someone is not curious or not happy and vice versa.
If mary is either not wise or not old then someone is either old or not funny.
If someon... | Paul is not generous. | contradiction | (((~happy(lucy)|~patient(lucy)))=>(?[X]:((~rich(X)|~wise(X)))))&
((?[X]:((kind(X)&~quiet(X))))=>(?[X]:(~brave(X))))&
(((generous(paul)&humble(paul)))<=>(?[X]:((~curious(X)|~happy(X)))))&
(((~wise(mary)<~>~old(mary)))=>(?[X]:((old(X)<~>~funny(X)))))&
((?[X]:((calm(X)|~creative(X))))<=>((~old(paul)&calm(paul))))&
((?[X]:... | ~generous(paul) | [
"p2",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4052900731809060338408015
% SZS output start Proof for 4052900731809060338408015
3. (humble(paul) & generous(paul)) <=> ? [X0] : (~happy(X0) | ~curious(X0)) [input p2]
12. ! [X0] : ((~patient(X0) & ~wise(X0)) <=> (happy(X0) | ~funny(X0))) [input p11]
20. ? [X0] : patient(X0) [input p19]
2... | 0 |
Everyone who is not tall is not calm or not tall and vice versa.
Everyone who is both not funny and not curious is not generous or generous.
Everyone who is not calm is either funny or quiet.
Everyone who is either old or not tall is funny or old and vice versa.
If lucy is both not humble and not creative then mary is ... | Fred is calm. | entailment | (![X]:(~tall(X)<=>(~calm(X)|~tall(X))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((humble(X)|calm(... | calm(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 135950142241229177833042
% SZS output start Proof for 135950142241229177833042
1. ! [X0] : (~tall(X0) <=> (~tall(X0) | ~calm(X0))) [input p0]
11. ! [X0] : ((calm(X0) | ~tall(X0)) => calm(X0)) [input p10]
24. ~calm(fred) [input hypothesis]
40. ! [X0] : (calm(X0) | (~calm(X0) & tall(X0))) [... | 0 |
Everyone who is either not curious or wise is strong and vice versa.
Everyone who is both funny and not quiet is not old and vice versa.
If someone is both not old and not curious then someone is either not calm or not quiet and vice versa.
Everyone who is both wise and happy is patient or not creative and vice versa.
... | Paul is not calm. | entailment | (![X]:((~curious(X)<~>wise(X))<=>strong(X)))&
(![X]:((funny(X)&~quiet(X))<=>~old(X)))&
((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~calm(X)<~>~quiet(X)))))&
(![X]:((wise(X)&happy(X))<=>(patient(X)|~creative(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:(generous(X))))&... | ~calm(paul) | [
"p1",
"p2",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7332887671256153077819413
% SZS output start Proof for 7332887671256153077819413
2. ! [X0] : ((~quiet(X0) & funny(X0)) <=> ~old(X0)) [input p1]
3. ? [X0] : (~curious(X0) & ~old(X0)) <=> ? [X0] : (~calm(X0) <~> ~quiet(X0)) [input p2]
6. ? [X0] : (brave(X0) | ~old(X0)) <=> ? [X0] : generous... | 0 |
If someone is both patient and not calm then someone is both kind and not tall.
If susan is tall then alice is either wise or generous.
If fred is curious then alice is not curious and vice versa.
Everyone who is either not wise or rich is generous.
If someone is not tall then someone is either not generous or not wise... | John is patient. | contradiction | ((?[X]:((patient(X)&~calm(X))))=>(?[X]:((kind(X)&~tall(X)))))&
((tall(susan))=>((wise(alice)<~>generous(alice))))&
((curious(fred))<=>(~curious(alice)))&
(![X]:((~wise(X)<~>rich(X))=>generous(X)))&
((?[X]:(~tall(X)))=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((~tall(X)<~>tall(X))))<=>(?[X]:((~strong(X)<~>~humble(X))... | patient(john) | [
"p0",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6683214034892287091516044
% SZS output start Proof for 6683214034892287091516044
1. ? [X0] : (~calm(X0) & patient(X0)) => ? [X0] : (~tall(X0) & kind(X0)) [input p0]
7. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~kind(X0)) [input p6]
19. ~calm(john) & ~strong(john) [input p18]
25. patient(john... | 0 |
Everyone who is either wise or not creative is either not wise or not funny.
If someone is not patient or not curious then alice is kind or humble.
Everyone who is both not wise and rich is patient or curious and vice versa.
If someone is either calm or curious then mary is happy or quiet and vice versa.
Everyone who i... | Alice is brave. | entailment | (![X]:((wise(X)<~>~creative(X))=>(~wise(X)<~>~funny(X))))&
((?[X]:((~patient(X)|~curious(X))))=>((kind(alice)|humble(alice))))&
(![X]:((~wise(X)&rich(X))<=>(patient(X)|curious(X))))&
((?[X]:((calm(X)<~>curious(X))))<=>((happy(mary)|quiet(mary))))&
(![X]:((~rich(X)<~>old(X))<=>(generous(X)<~>humble(X))))&
(![X]:((humble... | brave(alice) | [
"p2",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6813856715750872051994782
% SZS output start Proof for 6813856715750872051994782
3. ! [X0] : ((rich(X0) & ~wise(X0)) <=> (curious(X0) | patient(X0))) [input p2]
5. ! [X0] : ((~rich(X0) <~> old(X0)) <=> (generous(X0) <~> humble(X0))) [input p4]
7. ! [X0] : ((rich(X0) | ~strong(X0)) => (bra... | 0 |
Everyone who is not funny is not kind.
Everyone who is old is both generous and not kind and vice versa.
If someone is funny then someone is not old or happy and vice versa.
Everyone who is either not calm or not wise is both calm and generous.
If someone is wise or quiet then lucy is both quiet and tall.
If fred is st... | John is not old. | neutral | (![X]:(~funny(X)=>~kind(X)))&
(![X]:(old(X)<=>(generous(X)&~kind(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((~calm(X)<~>~wise(X))=>(calm(X)&generous(X))))&
((?[X]:((wise(X)|quiet(X))))=>((quiet(lucy)&tall(lucy))))&
((strong(fred))=>(?[X]:((~old(X)&~brave(X)))))&
((?[X]:(humble(X)))<=>(?[X]:(curiou... | ~old(john) | [] | null | 0 |
Everyone who is both not rich and old is both not happy and not rich and vice versa.
Everyone who is brave is happy or not quiet and vice versa.
Everyone who is strong is both wise and generous and vice versa.
Everyone who is rich is not kind or not strong and vice versa.
If lucy is both humble and curious then mary is... | Paul is kind. | entailment | (![X]:((~rich(X)&old(X))<=>(~happy(X)&~rich(X))))&
(![X]:(brave(X)<=>(happy(X)|~quiet(X))))&
(![X]:(strong(X)<=>(wise(X)&generous(X))))&
(![X]:(rich(X)<=>(~kind(X)|~strong(X))))&
(((humble(lucy)&curious(lucy)))<=>((patient(mary)|tall(mary))))&
(![X]:(~tall(X)=>(quiet(X)|patient(X))))&
((~kind(paul))<=>((~tall(john)|cal... | kind(paul) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2630371166267179538643981
% SZS output start Proof for 2630371166267179538643981
2. ! [X0] : (brave(X0) <=> (~quiet(X0) | happy(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (~strong(X0) | ~kind(X0))) [input p3]
10. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> rich(X0)) [input p9]
12. ! [X0] :... | 0 |
If alice is not strong then someone is either not strong or not funny. Everyone who is either not kind or rich is both brave and wise and vice versa. Everyone who is not creative is not brave. If someone is not patient then paul is rich and vice versa. If paul is not strong then alice is both kind and not brave. If joh... | Paul is rich. | entailment | ((~strong(alice))=>(?[X]:((~strong(X)<~>~funny(X)))))&
(![X]:((~kind(X)<~>rich(X))<=>(brave(X)&wise(X))))&
(![X]:(~creative(X)=>~brave(X)))&
((?[X]:(~patient(X)))<=>(rich(paul)))&
((~strong(paul))=>((kind(alice)&~brave(alice))))&
((~rich(john))<=>(?[X]:(wise(X))))&
(![X]:(rich(X)=>(~tall(X)&rich(X))))&
((?[X]:((curious... | rich(paul) | [
"p3",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1512403870848210970538160
% SZS output start Proof for 1512403870848210970538160
4. ? [X0] : ~patient(X0) <=> rich(paul) [input p3]
11. ! [X0] : ((patient(X0) | funny(X0)) => (~rich(X0) & ~curious(X0))) [input p10]
20. rich(alice) & ~creative(alice) [input p19]
25. ~rich(paul) [input hypo... | 0 |
Everyone who is tall or not patient is not quiet and vice versa.
Everyone who is both rich and quiet is not generous or not creative and vice versa.
Everyone who is not humble or not old is either wise or not strong and vice versa.
Everyone who is old or not calm is both not generous and not strong and vice versa.
If l... | Paul is not wise. | entailment | (![X]:((tall(X)|~patient(X))<=>~quiet(X)))&
(![X]:((rich(X)&quiet(X))<=>(~generous(X)|~creative(X))))&
(![X]:((~humble(X)|~old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((old(X)|~calm(X))<=>(~generous(X)&~strong(X))))&
(((~patient(lucy)<~>~old(lucy)))=>((humble(lucy)|tall(lucy))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~creati... | ~wise(paul) | [
"p1",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6486680816404511203725098
% SZS output start Proof for 6486680816404511203725098
2. ! [X0] : ((quiet(X0) & rich(X0)) <=> (~creative(X0) | ~generous(X0))) [input p1]
10. ! [X0] : (tall(X0) <=> generous(X0)) [input p9]
14. ! [X0] : ((~tall(X0) <~> wise(X0)) => (~generous(X0) & quiet(X0))) [... | 0 |
Everyone who is happy is not patient. If someone is brave or old then someone is strong or not curious and vice versa. If john is not funny then susan is not funny or quiet and vice versa. Everyone who is either funny or quiet is both not happy and not wise. If john is either quiet or not strong then someone is both ki... | Paul is happy. | contradiction | (![X]:(happy(X)=>~patient(X)))&
((?[X]:((brave(X)|old(X))))<=>(?[X]:((strong(X)|~curious(X)))))&
((~funny(john))<=>((~funny(susan)|quiet(susan))))&
(![X]:((funny(X)<~>quiet(X))=>(~happy(X)&~wise(X))))&
(((quiet(john)<~>~strong(john)))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((humble(X)<~>rich(X))=>(wise(X)|quiet(X))))&
((... | happy(paul) | [
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8632938546537925830792627
% SZS output start Proof for 8632938546537925830792627
7. ~happy(paul) <=> ? [X0] : ~strong(X0) [input p6]
9. ! [X0] : ((humble(X0) & ~strong(X0)) <=> humble(X0)) [input p8]
15. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (~strong(X0) & ~quiet(X0))) [input p14]
22. ... | 0 |
Everyone who is both quiet and old is old.
Everyone who is either not tall or not brave is either wise or not old.
If someone is both not happy and not old then someone is not generous or patient and vice versa.
If alice is both strong and not funny then susan is rich.
Everyone who is both not funny and not happy is bo... | Lucy is not curious. | neutral | (![X]:((quiet(X)&old(X))=>old(X)))&
(![X]:((~tall(X)<~>~brave(X))=>(wise(X)<~>~old(X))))&
((?[X]:((~happy(X)&~old(X))))<=>(?[X]:((~generous(X)|patient(X)))))&
(((strong(alice)&~funny(alice)))=>(rich(susan)))&
(![X]:((~funny(X)&~happy(X))=>(tall(X)&funny(X))))&
(![X]:((tall(X)<~>~brave(X))=>(~tall(X)<~>old(X))))&
(((~ge... | ~curious(lucy) | [] | null | 0 |
If someone is either not calm or not patient then someone is not quiet or quiet and vice versa.
If someone is quiet or curious then john is not curious.
If alice is brave then fred is not rich and vice versa.
Everyone who is either brave or kind is quiet.
If someone is both patient and kind then mary is creative or not... | John is not happy. | contradiction | ((?[X]:((~calm(X)<~>~patient(X))))<=>(?[X]:((~quiet(X)|quiet(X)))))&
((?[X]:((quiet(X)|curious(X))))=>(~curious(john)))&
((brave(alice))<=>(~rich(fred)))&
(![X]:((brave(X)<~>kind(X))=>quiet(X)))&
((?[X]:((patient(X)&kind(X))))<=>((creative(mary)|~brave(mary))))&
(![X]:(~rich(X)<=>(~generous(X)<~>rich(X))))&
((?[X]:((ca... | ~happy(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8233703387240230255346176
% SZS output start Proof for 8233703387240230255346176
11. ! [X0] : ((~strong(X0) | ~happy(X0)) <=> (kind(X0) & ~kind(X0))) [input p10]
24. ~happy(john) [input hypothesis]
59. ! [X0] : (((~strong(X0) | ~happy(X0)) | (~kind(X0) | kind(X0))) & ((kind(X0) & ~kind(X0... | 0 |
If someone is either patient or humble then someone is not generous and vice versa. Everyone who is both wise and not humble is either patient or not tall and vice versa. If alice is both happy and not brave then someone is both patient and not kind and vice versa. If alice is both old and humble then someone is not cu... | Susan is funny. | neutral | ((?[X]:((patient(X)<~>humble(X))))<=>(?[X]:(~generous(X))))&
(![X]:((wise(X)&~humble(X))<=>(patient(X)<~>~tall(X))))&
(((happy(alice)&~brave(alice)))<=>(?[X]:((patient(X)&~kind(X)))))&
(((old(alice)&humble(alice)))<=>(?[X]:((~curious(X)|patient(X)))))&
((?[X]:((~quiet(X)&~happy(X))))<=>(?[X]:((happy(X)|funny(X)))))&
((... | funny(susan) | [] | null | 0 |
If alice is not calm or happy then someone is humble and vice versa.
Everyone who is not strong or not old is not humble and vice versa.
If someone is not generous then fred is both funny and not old and vice versa.
If alice is both creative and not humble then john is generous.
If alice is either not kind or not humbl... | Lucy is funny. | contradiction | (((~calm(alice)|happy(alice)))<=>(?[X]:(humble(X))))&
(![X]:((~strong(X)|~old(X))<=>~humble(X)))&
((?[X]:(~generous(X)))<=>((funny(fred)&~old(fred))))&
(((creative(alice)&~humble(alice)))=>(generous(john)))&
(((~kind(alice)<~>~humble(alice)))<=>((rich(john)&~tall(john))))&
((?[X]:((rich(X)&strong(X))))=>((patient(fred)... | funny(lucy) | [
"p1",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1377302828778744518568411
% SZS output start Proof for 1377302828778744518568411
2. ! [X0] : ((~old(X0) | ~strong(X0)) <=> ~humble(X0)) [input p1]
9. ! [X0] : ((kind(X0) | funny(X0)) => (~humble(X0) <~> ~kind(X0))) [input p8]
10. ! [X0] : ((old(X0) <~> ~strong(X0)) <=> (~funny(X0) & happy... | 0 |
Everyone who is both old and creative is not tall or not calm and vice versa.
If someone is not patient or not quiet then lucy is curious or strong.
If someone is either not old or not strong then someone is old or wise and vice versa.
If mary is wise then someone is either not funny or not old.
Everyone who is either ... | Mary is strong. | neutral | (![X]:((old(X)&creative(X))<=>(~tall(X)|~calm(X))))&
((?[X]:((~patient(X)|~quiet(X))))=>((curious(lucy)|strong(lucy))))&
((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((old(X)|wise(X)))))&
((wise(mary))=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~curious(X)<~>~calm(X))=>~creative(X)))&
(![X]:(~funny(X)=>(~old(X)|~kind(X))))&... | strong(mary) | [] | null | 0 |
If someone is patient or not rich then susan is not old. Everyone who is either not kind or funny is either old or rich and vice versa. Everyone who is both not humble and not quiet is humble or not patient and vice versa. Everyone who is rich or old is not kind and vice versa. If susan is strong then john is both not ... | John is not curious. | entailment | ((?[X]:((patient(X)|~rich(X))))=>(~old(susan)))&
(![X]:((~kind(X)<~>funny(X))<=>(old(X)<~>rich(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(humble(X)|~patient(X))))&
(![X]:((rich(X)|old(X))<=>~kind(X)))&
((strong(susan))<=>((~rich(john)&~generous(john))))&
(![X]:((tall(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:(curious(X)=... | ~curious(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 233998449105363706541906
% SZS output start Proof for 233998449105363706541906
7. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p6]
22. curious(john) [input hypothesis]
27. ! [X0] : ((~curious(X0) & ~old(X0)) | ~curious(X0)) [ennf transformation 7]
99. ~curious(X0) | ~curious... | 0 |
Everyone who is tall or old is either not wise or not creative.
Everyone who is either not brave or strong is both calm and not creative and vice versa.
Everyone who is funny is not kind and vice versa.
Everyone who is not rich or not strong is both not funny and not generous and vice versa.
If paul is calm or brave th... | Alice is creative. | neutral | (![X]:((tall(X)|old(X))=>(~wise(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(calm(X)&~creative(X))))&
(![X]:(funny(X)<=>~kind(X)))&
(![X]:((~rich(X)|~strong(X))<=>(~funny(X)&~generous(X))))&
(((calm(paul)|brave(paul)))<=>((humble(john)&~happy(john))))&
(![X]:((patient(X)<~>~brave(X))=>(curious(X)<~>~kind(X))... | creative(alice) | [] | null | 0 |
Everyone who is funny or not kind is both old and strong.
Everyone who is both kind and curious is happy.
Everyone who is not tall is creative and vice versa.
If someone is both generous and calm then mary is not wise or not strong.
If lucy is not kind then paul is not patient or old.
If someone is not happy then someo... | Mary is old. | neutral | (![X]:((funny(X)|~kind(X))=>(old(X)&strong(X))))&
(![X]:((kind(X)&curious(X))=>happy(X)))&
(![X]:(~tall(X)<=>creative(X)))&
((?[X]:((generous(X)&calm(X))))=>((~wise(mary)|~strong(mary))))&
((~kind(lucy))=>((~patient(paul)|old(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:((~wise(X)&~patient... | old(mary) | [] | null | 0 |
Everyone who is not calm is patient.
Everyone who is brave is not tall or not humble and vice versa.
If someone is not happy or happy then lucy is quiet and vice versa.
Everyone who is both not patient and not strong is both not quiet and strong and vice versa.
Everyone who is both not funny and not calm is not kind or... | Lucy is creative. | neutral | (![X]:(~calm(X)=>patient(X)))&
(![X]:(brave(X)<=>(~tall(X)|~humble(X))))&
((?[X]:((~happy(X)|happy(X))))<=>(quiet(lucy)))&
(![X]:((~patient(X)&~strong(X))<=>(~quiet(X)&strong(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~kind(X)|~generous(X))))&
((?[X]:((~brave(X)<~>~humble(X))))=>((~creative(paul)&generous(paul))))&
(![X]:((... | creative(lucy) | [] | null | 0 |
Everyone who is not creative is both not creative and not happy and vice versa. Everyone who is both not rich and funny is not tall or funny. Everyone who is both not patient and not calm is either quiet or not rich and vice versa. Everyone who is strong is creative. Everyone who is wise or calm is rich or not calm. Ev... | Paul is happy. | contradiction | (![X]:(~creative(X)<=>(~creative(X)&~happy(X))))&
(![X]:((~rich(X)&funny(X))=>(~tall(X)|funny(X))))&
(![X]:((~patient(X)&~calm(X))<=>(quiet(X)<~>~rich(X))))&
(![X]:(strong(X)=>creative(X)))&
(![X]:((wise(X)|calm(X))=>(rich(X)|~calm(X))))&
(![X]:((~kind(X)&patient(X))<=>(generous(X)&tall(X))))&
(![X]:((~calm(X)<~>old(X)... | happy(paul) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3719921999206514509428977
% SZS output start Proof for 3719921999206514509428977
1. ! [X0] : (~creative(X0) <=> (~happy(X0) & ~creative(X0))) [input p0]
22. ~creative(paul) & brave(paul) [input p21]
25. happy(paul) [input hypothesis]
38. ! [X0] : ((~creative(X0) | (happy(X0) | creative(X0... | 0 |
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is creative is either not strong or not patient.
If someone is either quiet or not creative then someone is both calm and curious and vice versa.
Everyone who is kind is both not funny and calm and vice versa.
If fred is not rich or humb... | Fred is not kind. | entailment | (![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:(creative(X)=>(~strong(X)<~>~patient(X))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(?[X]:((calm(X)&curious(X)))))&
(![X]:(kind(X)<=>(~funny(X)&calm(X))))&
(((~rich(fred)|humble(fred)))=>(?[X]:((~humble(X)&humble(X)))))&
(![X]:((~funny(X)&~calm(X))=>(old(X)&~wise(X))))... | ~kind(fred) | [
"p0",
"p3",
"p4",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8706027490216840530416820
% SZS output start Proof for 8706027490216840530416820
1. ! [X0] : (~quiet(X0) <=> (funny(X0) <~> creative(X0))) [input p0]
4. ! [X0] : (kind(X0) <=> (calm(X0) & ~funny(X0))) [input p3]
5. (humble(fred) | ~rich(fred)) => ? [X0] : (humble(X0) & ~humble(X0)) [input... | 0 |
If someone is both wise and not patient then john is not rich.
Everyone who is both not generous and not wise is either not old or tall.
If paul is either kind or calm then fred is both curious and not brave.
If someone is not funny then fred is not humble or patient and vice versa.
Everyone who is not strong is not ri... | Mary is patient. | neutral | ((?[X]:((wise(X)&~patient(X))))=>(~rich(john)))&
(![X]:((~generous(X)&~wise(X))=>(~old(X)<~>tall(X))))&
(((kind(paul)<~>calm(paul)))=>((curious(fred)&~brave(fred))))&
((?[X]:(~funny(X)))<=>((~humble(fred)|patient(fred))))&
(![X]:(~strong(X)<=>(~rich(X)|~patient(X))))&
((?[X]:((~generous(X)|humble(X))))=>(?[X]:((~calm(X... | patient(mary) | [] | null | 0 |
Everyone who is both not funny and not curious is patient and vice versa.
Everyone who is either rich or not generous is happy.
If someone is not rich then someone is funny or not patient and vice versa.
Everyone who is either curious or not old is generous.
If someone is both not humble and not rich then lucy is kind.... | Paul is not patient. | entailment | (![X]:((~funny(X)&~curious(X))<=>patient(X)))&
(![X]:((rich(X)<~>~generous(X))=>happy(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((funny(X)|~patient(X)))))&
(![X]:((curious(X)<~>~old(X))=>generous(X)))&
((?[X]:((~humble(X)&~rich(X))))=>(kind(lucy)))&
((~brave(mary))=>((wise(lucy)|~calm(lucy))))&
(![X]:((old(X)&~curious(X))<=>(ol... | ~patient(paul) | [
"p0",
"p3",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7265590009415328257658469
% SZS output start Proof for 7265590009415328257658469
1. ! [X0] : ((~curious(X0) & ~funny(X0)) <=> patient(X0)) [input p0]
4. ! [X0] : ((curious(X0) <~> ~old(X0)) => generous(X0)) [input p3]
7. ! [X0] : ((~curious(X0) & old(X0)) <=> (strong(X0) & old(X0))) [inpu... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is strong or happy then susan is not brave.
Everyone who is both not old and wise is rich or not old.
If someone is not brave or not patient then fred is old and vice versa.
If lucy is not creative then fred is not wise and vice versa.
Everyone ... | Lucy is not patient. | neutral | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((strong(lucy)|happy(lucy)))=>(~brave(susan)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curi... | ~patient(lucy) | [] | null | 0 |
If someone is not tall or not humble then someone is either not tall or not calm and vice versa.
If mary is both not old and not patient then alice is both not brave and funny and vice versa.
If john is not creative or not patient then lucy is either not wise or humble and vice versa.
Everyone who is not rich is not br... | Mary is quiet. | entailment | ((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((~old(mary)&~patient(mary)))<=>((~brave(alice)&funny(alice))))&
(((~creative(john)|~patient(john)))<=>((~wise(lucy)<~>humble(lucy))))&
(![X]:(~rich(X)<=>~brave(X)))&
(![X]:(rich(X)<=>(strong(X)&old(X))))&
(![X]:((brave(X)|calm(X))<=>(wise(X)|~humble(X... | quiet(mary) | [
"p3",
"p4",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 544481327317937723600521
% SZS output start Proof for 544481327317937723600521
4. ! [X0] : (~rich(X0) <=> ~brave(X0)) [input p3]
5. ! [X0] : (rich(X0) <=> (old(X0) & strong(X0))) [input p4]
8. ! [X0] : ((~brave(X0) | happy(X0)) => (funny(X0) & ~funny(X0))) [input p7]
12. ! [X0] : ((~quiet... | 0 |
Everyone who is either not happy or not old is either brave or not happy and vice versa.
Everyone who is either generous or creative is not kind or not strong and vice versa.
Everyone who is both not brave and not strong is both not kind and not rich.
If someone is not wise or not calm then alice is not calm.
If someon... | Susan is not curious. | neutral | (![X]:((~happy(X)<~>~old(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((generous(X)<~>creative(X))<=>(~kind(X)|~strong(X))))&
(![X]:((~brave(X)&~strong(X))=>(~kind(X)&~rich(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(~calm(alice)))&
((?[X]:(brave(X)))<=>(?[X]:((~quiet(X)&creative(X)))))&
((funny(john))=>((wise(fred)<~>creative(fre... | ~curious(susan) | [] | null | 0 |
Everyone who is not humble or not creative is rich or wise and vice versa.
Everyone who is calm or not wise is both not patient and not calm and vice versa.
If paul is creative or brave then someone is not humble and vice versa.
Everyone who is both brave and tall is not rich.
Everyone who is either generous or not ric... | Mary is patient. | entailment | (![X]:((~humble(X)|~creative(X))<=>(rich(X)|wise(X))))&
(![X]:((calm(X)|~wise(X))<=>(~patient(X)&~calm(X))))&
(((creative(paul)|brave(paul)))<=>(?[X]:(~humble(X))))&
(![X]:((brave(X)&tall(X))=>~rich(X)))&
(![X]:((generous(X)<~>~rich(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((strong(X)&~old(X))))<=>(quiet(john)))&
(![X]:((... | patient(mary) | [
"p1",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7576911158890107196302228
% SZS output start Proof for 7576911158890107196302228
2. ! [X0] : ((~wise(X0) | calm(X0)) <=> (~calm(X0) & ~patient(X0))) [input p1]
12. ! [X0] : (strong(X0) <=> (happy(X0) | ~wise(X0))) [input p11]
18. ~strong(mary) [input p17]
24. ~patient(mary) [input hypothe... | 0 |
Everyone who is not funny or not creative is happy or brave and vice versa.
Everyone who is not rich is either not creative or not wise and vice versa.
Everyone who is both tall and kind is both brave and not curious.
Everyone who is either not brave or not old is both not rich and kind and vice versa.
If someone is ei... | Alice is generous. | neutral | (![X]:((~funny(X)|~creative(X))<=>(happy(X)|brave(X))))&
(![X]:(~rich(X)<=>(~creative(X)<~>~wise(X))))&
(![X]:((tall(X)&kind(X))=>(brave(X)&~curious(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~rich(X)&kind(X))))&
((?[X]:((patient(X)<~>quiet(X))))<=>(?[X]:((~generous(X)|~humble(X)))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[X]:... | generous(alice) | [] | null | 0 |
Everyone who is funny or not strong is brave or not humble and vice versa.
If fred is both funny and kind then john is not calm or patient.
Everyone who is happy or not calm is generous and vice versa.
Everyone who is both funny and not creative is strong or generous.
Everyone who is either generous or kind is both fun... | John is calm. | neutral | (![X]:((funny(X)|~strong(X))<=>(brave(X)|~humble(X))))&
(((funny(fred)&kind(fred)))=>((~calm(john)|patient(john))))&
(![X]:((happy(X)|~calm(X))<=>generous(X)))&
(![X]:((funny(X)&~creative(X))=>(strong(X)|generous(X))))&
(![X]:((generous(X)<~>kind(X))<=>(funny(X)&kind(X))))&
(((rich(susan)<~>humble(susan)))<=>(?[X]:((~s... | calm(john) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Paul is not calm. | neutral | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~calm(paul) | [] | null | 0 |
If someone is either tall or not calm then someone is not patient or not old and vice versa.
Everyone who is patient is brave or not funny and vice versa.
Everyone who is either not brave or not patient is creative or not rich.
If someone is either happy or not creative then john is both patient and not rich and vice v... | Lucy is not happy. | neutral | ((?[X]:((tall(X)<~>~calm(X))))<=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:(patient(X)<=>(brave(X)|~funny(X))))&
(![X]:((~brave(X)<~>~patient(X))=>(creative(X)|~rich(X))))&
((?[X]:((happy(X)<~>~creative(X))))<=>((patient(john)&~rich(john))))&
((?[X]:((~humble(X)<~>~creative(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:(... | ~happy(lucy) | [] | null | 0 |
If mary is either not funny or quiet then someone is both brave and creative and vice versa.
Everyone who is both kind and not wise is both not rich and curious.
If fred is both calm and not calm then lucy is rich or strong and vice versa.
If someone is both not generous and not quiet then alice is both not rich and cu... | John is not brave. | neutral | (((~funny(mary)<~>quiet(mary)))<=>(?[X]:((brave(X)&creative(X)))))&
(![X]:((kind(X)&~wise(X))=>(~rich(X)&curious(X))))&
(((calm(fred)&~calm(fred)))<=>((rich(lucy)|strong(lucy))))&
((?[X]:((~generous(X)&~quiet(X))))<=>((~rich(alice)&curious(alice))))&
(![X]:(brave(X)<=>(~quiet(X)|rich(X))))&
(((~curious(john)|~brave(joh... | ~brave(john) | [] | null | 0 |
If someone is either not brave or not old then someone is both rich and not humble.
Everyone who is not patient is either not generous or brave and vice versa.
If someone is not generous then susan is humble or not tall and vice versa.
If someone is not tall or not curious then someone is not wise and vice versa.
If so... | Paul is brave. | neutral | ((?[X]:((~brave(X)<~>~old(X))))=>(?[X]:((rich(X)&~humble(X)))))&
(![X]:(~patient(X)<=>(~generous(X)<~>brave(X))))&
((?[X]:(~generous(X)))<=>((humble(susan)|~tall(susan))))&
((?[X]:((~tall(X)|~curious(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((wise(X)|calm(X))))=>(~calm(paul)))&
((?[X]:(~old(X)))<=>(?[X]:((quiet(X)<~>happy(X)... | brave(paul) | [] | null | 0 |
If alice is either rich or not calm then someone is both quiet and not patient and vice versa. Everyone who is either happy or not strong is both not brave and not happy. If someone is rich then susan is happy and vice versa. If someone is patient or not curious then someone is creative and vice versa. Everyone who is ... | Fred is creative. | entailment | (((rich(alice)<~>~calm(alice)))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((happy(X)<~>~strong(X))=>(~brave(X)&~happy(X))))&
((?[X]:(rich(X)))<=>(happy(susan)))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|~humble(X))=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~kind(X)&f... | creative(fred) | [
"p2",
"p7",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5040347485046081466260322
% SZS output start Proof for 5040347485046081466260322
3. ? [X0] : rich(X0) <=> happy(susan) [input p2]
8. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (~generous(X0) <~> generous(X0))) [input p7]
9. (patient(paul) & kind(paul)) <=> ? [X0] : (happy(X0) & ~calm(X0)) ... | 0 |
Everyone who is both generous and wise is either not rich or creative. Everyone who is not rich or not wise is either not rich or quiet. Everyone who is either not happy or not kind is both not strong and not curious and vice versa. If someone is either not quiet or generous then mary is both not brave and not creative... | Fred is rich. | contradiction | (![X]:((generous(X)&wise(X))=>(~rich(X)<~>creative(X))))&
(![X]:((~rich(X)|~wise(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~happy(X)<~>~kind(X))<=>(~strong(X)&~curious(X))))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((~brave(mary)&~creative(mary))))&
(![X]:(~kind(X)=>(~tall(X)<~>~brave(X))))&
(![X]:(~wise(X)=>(funny(X)<~>~hap... | rich(fred) | [
"p0",
"p1",
"p7",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 46860219386060618871974
% SZS output start Proof for 46860219386060618871974
1. ! [X0] : ((wise(X0) & generous(X0)) => (~rich(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | ~rich(X0)) => (~rich(X0) <~> quiet(X0))) [input p1]
8. ! [X0] : ((rich(X0) | ~old(X0)) <=> ~quiet(X0)) ... | 0 |
If fred is either not quiet or not kind then someone is either not rich or curious and vice versa.
Everyone who is either calm or not tall is both not creative and happy and vice versa.
Everyone who is either not wise or wise is both rich and happy.
If susan is quiet then fred is either brave or quiet and vice versa.
I... | Lucy is not old. | entailment | (((~quiet(fred)<~>~kind(fred)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(![X]:((calm(X)<~>~tall(X))<=>(~creative(X)&happy(X))))&
(![X]:((~wise(X)<~>wise(X))=>(rich(X)&happy(X))))&
((quiet(susan))<=>((brave(fred)<~>quiet(fred))))&
((?[X]:((patient(X)<~>rich(X))))<=>(~humble(lucy)))&
(![X]:((~funny(X)|tall(X))<=>(~old(X)|hu... | ~old(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5018869212847101118868853
% SZS output start Proof for 5018869212847101118868853
2. ! [X0] : ((calm(X0) <~> ~tall(X0)) <=> (happy(X0) & ~creative(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (happy(X0) & rich(X0))) [input p2]
5. ? [X0] : (patient(X0) <~> rich(X0)) <=> ~humble... | 0 |
If someone is both patient and funny then alice is old or wise and vice versa.
Everyone who is either patient or not generous is either wise or patient.
Everyone who is either happy or funny is not funny and vice versa.
Everyone who is both not creative and old is quiet.
Everyone who is quiet or creative is funny and v... | Paul is not happy. | contradiction | ((?[X]:((patient(X)&funny(X))))<=>((old(alice)|wise(alice))))&
(![X]:((patient(X)<~>~generous(X))=>(wise(X)<~>patient(X))))&
(![X]:((happy(X)<~>funny(X))<=>~funny(X)))&
(![X]:((~creative(X)&old(X))=>quiet(X)))&
(![X]:((quiet(X)|creative(X))<=>funny(X)))&
(![X]:(~happy(X)=>(~rich(X)<~>~happy(X))))&
((quiet(alice))=>((br... | ~happy(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7105458866513982164937980
% SZS output start Proof for 7105458866513982164937980
3. ! [X0] : ((happy(X0) <~> funny(X0)) <=> ~funny(X0)) [input p2]
24. ~happy(paul) [input hypothesis]
44. ! [X0] : ((((~funny(X0) | ~happy(X0)) & (funny(X0) | happy(X0))) | funny(X0)) & (~funny(X0) | ((happy(... | 0 |
Everyone who is either not patient or not wise is not creative and vice versa. Everyone who is either patient or not patient is either not tall or not brave. If someone is tall then fred is either not tall or brave. Everyone who is both not strong and funny is either not kind or not wise and vice versa. If mary is not ... | John is curious. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>~creative(X)))&
(![X]:((patient(X)<~>~patient(X))=>(~tall(X)<~>~brave(X))))&
((?[X]:(tall(X)))=>((~tall(fred)<~>brave(fred))))&
(![X]:((~strong(X)&funny(X))<=>(~kind(X)<~>~wise(X))))&
(((~funny(mary)|brave(mary)))<=>(~curious(paul)))&
(![X]:(kind(X)=>~patient(X)))&
(![X]:((brave(X)|~ge... | curious(john) | [
"p1",
"p2",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7024758708984231994157726
% SZS output start Proof for 7024758708984231994157726
2. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~tall(X0) <~> ~brave(X0))) [input p1]
3. ? [X0] : tall(X0) => (~tall(fred) <~> brave(fred)) [input p2]
6. ! [X0] : (kind(X0) => ~patient(X0)) [input p5]
7. ! [X... | 0 |
If someone is either wise or old then paul is both kind and not brave and vice versa. Everyone who is not calm or funny is not brave or rich and vice versa. Everyone who is both strong and curious is tall and vice versa. If someone is not patient or not brave then mary is calm. Everyone who is both not patient and stro... | Lucy is not curious. | neutral | ((?[X]:((wise(X)<~>old(X))))<=>((kind(paul)&~brave(paul))))&
(![X]:((~calm(X)|funny(X))<=>(~brave(X)|rich(X))))&
(![X]:((strong(X)&curious(X))<=>tall(X)))&
((?[X]:((~patient(X)|~brave(X))))=>(calm(mary)))&
(![X]:((~patient(X)&strong(X))<=>(happy(X)|generous(X))))&
((?[X]:((generous(X)<~>~patient(X))))=>((~strong(fred)&... | ~curious(lucy) | [] | null | 0 |
If john is not rich or not creative then mary is either strong or not strong and vice versa. If someone is either tall or generous then paul is either tall or old. If someone is quiet or not calm then someone is rich. If paul is both not calm and old then lucy is both quiet and not strong and vice versa. If someone is ... | Susan is kind. | entailment | (((~rich(john)|~creative(john)))<=>((strong(mary)<~>~strong(mary))))&
((?[X]:((tall(X)<~>generous(X))))=>((tall(paul)<~>old(paul))))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:(rich(X))))&
(((~calm(paul)&old(paul)))<=>((quiet(lucy)&~strong(lucy))))&
((?[X]:((wise(X)&funny(X))))=>(calm(alice)))&
((kind(paul))=>(?[X]:((~humbl... | kind(susan) | [
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3177002261037153209883101
% SZS output start Proof for 3177002261037153209883101
12. ! [X0] : ((humble(X0) | ~creative(X0)) <=> (kind(X0) | patient(X0))) [input p11]
14. ! [X0] : ((patient(X0) & old(X0)) <=> (creative(X0) | strong(X0))) [input p13]
17. kind(susan) | ~patient(susan) [input... | 0 |
If fred is wise or not kind then someone is not kind or not funny and vice versa.
Everyone who is happy is not old or not brave and vice versa.
Everyone who is either not tall or not funny is not tall and vice versa.
If someone is kind then someone is quiet.
If susan is either old or not creative then someone is humble... | Paul is brave. | contradiction | (((wise(fred)|~kind(fred)))<=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:(happy(X)<=>(~old(X)|~brave(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>~tall(X)))&
((?[X]:(kind(X)))=>(?[X]:(quiet(X))))&
(((old(susan)<~>~creative(susan)))=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((g... | brave(paul) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 286239876294409301650990
% SZS output start Proof for 286239876294409301650990
3. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p2]
13. ! [X0] : ((rich(X0) | funny(X0)) => ~brave(X0)) [input p12]
21. brave(paul) [input hypothesis]
23. ! [X0] : (funny(X0) => ~brave(X0)) [pure ... | 0 |
If someone is either not kind or not humble then fred is either strong or patient and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative... | Paul is curious. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((strong(fred)<~>patient(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~... | curious(paul) | [
"p1",
"p2",
"p5",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1831775965749725880904215
% SZS output start Proof for 1831775965749725880904215
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
6. ? [X0] : (generous(X0) <~> ~rich(X0)) =... | 0 |
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