premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either strong or not strong is either generous or creative and vice versa.
If paul is brave or not quiet then someone is both not old and not calm and vice versa.
If alice is kind then someone is both kind and calm and vice versa.
If alice is wise then lucy is not happy or not patient.
If someone is ric... | Paul is not strong. | contradiction | (![X]:((strong(X)<~>~strong(X))<=>(generous(X)<~>creative(X))))&
(((brave(paul)|~quiet(paul)))<=>(?[X]:((~old(X)&~calm(X)))))&
((kind(alice))<=>(?[X]:((kind(X)&calm(X)))))&
((wise(alice))=>((~happy(lucy)|~patient(lucy))))&
((?[X]:(rich(X)))<=>(?[X]:((~quiet(X)&~generous(X)))))&
(![X]:(~old(X)<=>(creative(X)&~tall(X))))... | ~strong(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3452695216878913864938243
% SZS output start Proof for 3452695216878913864938243
8. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> strong(X0)) [input p7]
22. ~strong(paul) [input hypothesis]
50. ! [X0] : ((((~brave(X0) | brave(X0)) & (brave(X0) | ~brave(X0))) | ~strong(X0)) & (strong(X0) | ((~b... | 0 |
Everyone who is calm or rich is tall. If mary is not calm then susan is patient. Everyone who is not generous is tall. If someone is quiet or creative then alice is not calm or not happy and vice versa. Everyone who is either tall or generous is not kind or happy. Everyone who is not brave or not curious is either pati... | Susan is generous. | neutral | (![X]:((calm(X)|rich(X))=>tall(X)))&
((~calm(mary))=>(patient(susan)))&
(![X]:(~generous(X)=>tall(X)))&
((?[X]:((quiet(X)|creative(X))))<=>((~calm(alice)|~happy(alice))))&
(![X]:((tall(X)<~>generous(X))=>(~kind(X)|happy(X))))&
(![X]:((~brave(X)|~curious(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:((old(X)<~>generous(X)... | generous(susan) | [] | null | 0 |
Everyone who is patient or rich is either brave or not happy and vice versa.
Everyone who is not patient or brave is not happy or not calm and vice versa.
If someone is not generous or not rich then mary is wise.
Everyone who is not humble or curious is generous and vice versa.
Everyone who is both funny and patient is... | Mary is old. | entailment | (![X]:((patient(X)|rich(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~patient(X)|brave(X))<=>(~happy(X)|~calm(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(wise(mary)))&
(![X]:((~humble(X)|curious(X))<=>generous(X)))&
(![X]:((funny(X)&patient(X))=>(~rich(X)|~old(X))))&
((?[X]:((quiet(X)&~generous(X))))=>(?[X]:((kind(X)|~calm(X... | old(mary) | [
"p0",
"p1",
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 700383850518034459537202
% SZS output start Proof for 700383850518034459537202
1. ! [X0] : ((rich(X0) | patient(X0)) <=> (brave(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~patient(X0)) <=> (~calm(X0) | ~happy(X0))) [input p1]
7. ! [X0] : ((~brave(X0) <~> old(X0)) <=> ~curio... | 0 |
If fred is both not tall and not wise then lucy is both humble and patient and vice versa. Everyone who is either strong or not rich is both not quiet and happy and vice versa. If someone is either not patient or not tall then fred is humble or not tall and vice versa. Everyone who is both kind and curious is both not ... | Fred is generous. | neutral | (((~tall(fred)&~wise(fred)))<=>((humble(lucy)&patient(lucy))))&
(![X]:((strong(X)<~>~rich(X))<=>(~quiet(X)&happy(X))))&
((?[X]:((~patient(X)<~>~tall(X))))<=>((humble(fred)|~tall(fred))))&
(![X]:((kind(X)&curious(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~brave(X)&~humble(X))))=>(~humble(paul)))&
((generous(lucy))=>(?[X]:((... | generous(fred) | [] | null | 0 |
Everyone who is either not humble or not funny is generous or not tall and vice versa.
If alice is both happy and not kind then someone is not happy or old.
If fred is funny then alice is wise and vice versa.
If mary is not humble or not funny then alice is both not quiet and not strong and vice versa.
Everyone who is ... | Paul is not strong. | neutral | (![X]:((~humble(X)<~>~funny(X))<=>(generous(X)|~tall(X))))&
(((happy(alice)&~kind(alice)))=>(?[X]:((~happy(X)|old(X)))))&
((funny(fred))<=>(wise(alice)))&
(((~humble(mary)|~funny(mary)))<=>((~quiet(alice)&~strong(alice))))&
(![X]:((kind(X)&~quiet(X))=>(~kind(X)&funny(X))))&
(![X]:((old(X)<~>~curious(X))=>strong(X)))&
(... | ~strong(paul) | [] | null | 0 |
If john is both not wise and generous then mary is both rich and curious and vice versa. If susan is kind then alice is both not generous and not tall. If paul is funny or generous then someone is old or not calm. Everyone who is not funny is generous. Everyone who is not creative or not quiet is both humble and not hu... | Susan is quiet. | entailment | (((~wise(john)&generous(john)))<=>((rich(mary)&curious(mary))))&
((kind(susan))=>((~generous(alice)&~tall(alice))))&
(((funny(paul)|generous(paul)))=>(?[X]:((old(X)|~calm(X)))))&
(![X]:(~funny(X)=>generous(X)))&
(![X]:((~creative(X)|~quiet(X))<=>(humble(X)&~humble(X))))&
((?[X]:((funny(X)<~>kind(X))))=>(?[X]:((~calm(X)... | quiet(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4717184762112157213892621
% SZS output start Proof for 4717184762112157213892621
5. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> (~humble(X0) & humble(X0))) [input p4]
24. ~quiet(susan) [input hypothesis]
44. ! [X0] : (((~quiet(X0) | ~creative(X0)) | (humble(X0) | ~humble(X0))) & ((~humble(... | 0 |
If paul is not calm then someone is patient and vice versa.
Everyone who is curious is kind and vice versa.
Everyone who is both quiet and wise is both brave and not creative and vice versa.
Everyone who is both not humble and quiet is both curious and kind.
If someone is rich then someone is funny or calm and vice ver... | Alice is not strong. | entailment | ((~calm(paul))<=>(?[X]:(patient(X))))&
(![X]:(curious(X)<=>kind(X)))&
(![X]:((quiet(X)&wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((~humble(X)&quiet(X))=>(curious(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((~strong(X)&kind(X))=>(~wise(X)&~humble(X))))&
(![X]:((rich(X)&strong(X))=>(old(X)&~... | ~strong(alice) | [
"p6",
"p7",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3182957048872935441718088
% SZS output start Proof for 3182957048872935441718088
7. ! [X0] : ((strong(X0) & rich(X0)) => (~curious(X0) & old(X0))) [input p6]
8. ! [X0] : (~brave(X0) => (humble(X0) & ~old(X0))) [input p7]
9. (~funny(mary) & brave(mary)) <=> ? [X0] : kind(X0) [input p8]
11.... | 0 |
Everyone who is both funny and happy is not funny.
Everyone who is both not patient and generous is not curious.
Everyone who is either not wise or not humble is not quiet or happy.
Everyone who is both creative and not generous is brave or tall and vice versa.
Everyone who is either not wise or not calm is old or wise... | Susan is not generous. | neutral | (![X]:((funny(X)&happy(X))=>~funny(X)))&
(![X]:((~patient(X)&generous(X))=>~curious(X)))&
(![X]:((~wise(X)<~>~humble(X))=>(~quiet(X)|happy(X))))&
(![X]:((creative(X)&~generous(X))<=>(brave(X)|tall(X))))&
(![X]:((~wise(X)<~>~calm(X))<=>(old(X)|wise(X))))&
(![X]:((~patient(X)&calm(X))<=>brave(X)))&
(![X]:((tall(X)<~>~hap... | ~generous(susan) | [] | null | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | John is tall. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | tall(john) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1187852231251743019946400
% SZS output start Proof for 1187852231251743019946400
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
Everyone who is not happy or rich is either not wise or not curious and vice versa.
Everyone who is both not brave and wise is both humble and not old.
Everyone who is both not happy and not funny is either not creative or not strong.
If someone is not generous or quiet then someone is both not patient and not quiet.
I... | Fred is not curious. | entailment | (![X]:((~happy(X)|rich(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~brave(X)&wise(X))=>(humble(X)&~old(X))))&
(![X]:((~happy(X)&~funny(X))=>(~creative(X)<~>~strong(X))))&
((?[X]:((~generous(X)|quiet(X))))=>(?[X]:((~patient(X)&~quiet(X)))))&
(((~kind(lucy)<~>old(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)|creative(X))=... | ~curious(fred) | [
"p3",
"p6",
"p7",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6468851336691318227579318
% SZS output start Proof for 6468851336691318227579318
4. ? [X0] : (quiet(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) & ~patient(X0)) [input p3]
7. ! [X0] : ((rich(X0) & brave(X0)) => (~quiet(X0) & ~funny(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | ~quiet(X0)) <=... | 0 |
Everyone who is not strong is either curious or funny.
If someone is either quiet or generous then someone is not old or not quiet.
Everyone who is both quiet and not brave is either curious or funny and vice versa.
If someone is either not curious or quiet then someone is both funny and brave.
If someone is funny then... | Fred is not kind. | neutral | (![X]:(~strong(X)=>(curious(X)<~>funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:((quiet(X)&~brave(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((~curious(X)<~>quiet(X))))=>(?[X]:((funny(X)&brave(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((~wise(X)<~>~funn... | ~kind(fred) | [] | null | 0 |
If someone is kind or not creative then someone is either humble or not creative. Everyone who is both not quiet and tall is not calm or tall and vice versa. If someone is not calm or not brave then someone is either not funny or curious. If fred is creative or not funny then someone is either tall or calm and vice ver... | Paul is rich. | entailment | ((?[X]:((kind(X)|~creative(X))))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~quiet(X)&tall(X))<=>(~calm(X)|tall(X))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(((creative(fred)|~funny(fred)))<=>(?[X]:((tall(X)<~>calm(X)))))&
(![X]:((~calm(X)|~creative(X))<=>(~strong(X)&old(X))))&
(![X]:(... | rich(paul) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 397274303895603251810046
% SZS output start Proof for 397274303895603251810046
2. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (tall(X0) | ~calm(X0))) [input p1]
13. ! [X0] : (~rich(X0) => (~calm(X0) & quiet(X0))) [input p12]
25. ~rich(paul) [input hypothesis]
35. ! [X0] : ((~calm(X0) & quiet(X0... | 0 |
If someone is not funny or not humble then someone is old or creative and vice versa.
Everyone who is creative or not old is either funny or humble.
If someone is not kind or curious then someone is either not calm or kind.
Everyone who is generous or not rich is either not old or not generous.
Everyone who is strong i... | Lucy is funny. | entailment | ((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:((old(X)|creative(X)))))&
(![X]:((creative(X)|~old(X))=>(funny(X)<~>humble(X))))&
((?[X]:((~kind(X)|curious(X))))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:((generous(X)|~rich(X))=>(~old(X)<~>~generous(X))))&
(![X]:(strong(X)<=>tall(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((happy(X)<~>cre... | funny(lucy) | [
"p1",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1814350882766261702660723
% SZS output start Proof for 1814350882766261702660723
2. ! [X0] : ((~old(X0) | creative(X0)) => (funny(X0) <~> humble(X0))) [input p1]
7. ! [X0] : ((curious(X0) <~> ~curious(X0)) => ~old(X0)) [input p6]
18. ~humble(lucy) & calm(lucy) [input p17]
25. ~funny(lucy)... | 0 |
Everyone who is both not brave and not kind is not wise or not happy. Everyone who is not generous is either not happy or tall and vice versa. Everyone who is not humble or kind is either not humble or not funny. Everyone who is either not rich or old is either not old or not generous. Everyone who is either happy or r... | Mary is strong. | neutral | (![X]:((~brave(X)&~kind(X))=>(~wise(X)|~happy(X))))&
(![X]:(~generous(X)<=>(~happy(X)<~>tall(X))))&
(![X]:((~humble(X)|kind(X))=>(~humble(X)<~>~funny(X))))&
(![X]:((~rich(X)<~>old(X))=>(~old(X)<~>~generous(X))))&
(![X]:((happy(X)<~>rich(X))<=>kind(X)))&
(![X]:(funny(X)=>(~quiet(X)<~>kind(X))))&
(![X]:((strong(X)<~>wise... | strong(mary) | [] | null | 0 |
Everyone who is old is either not happy or not kind and vice versa.
Everyone who is curious is both not strong and humble.
Everyone who is not brave is humble and vice versa.
Everyone who is both not kind and not happy is both not curious and not patient and vice versa.
Everyone who is not creative or rich is not old a... | Susan is not old. | contradiction | (![X]:(old(X)<=>(~happy(X)<~>~kind(X))))&
(![X]:(curious(X)=>(~strong(X)&humble(X))))&
(![X]:(~brave(X)<=>humble(X)))&
(![X]:((~kind(X)&~happy(X))<=>(~curious(X)&~patient(X))))&
(![X]:((~creative(X)|rich(X))<=>~old(X)))&
(![X]:((~kind(X)|tall(X))<=>(calm(X)&~curious(X))))&
(![X]:(~rich(X)<=>(~happy(X)|rich(X))))&
(![X]... | ~old(susan) | [
"p0",
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6036596279743651599378701
% SZS output start Proof for 6036596279743651599378701
1. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~kind(X0))) [input p0]
5. ! [X0] : ((rich(X0) | ~creative(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (rich(X0) | ~happy(X0))) [input p6]
13. ! [X0] : ((h... | 0 |
Everyone who is either rich or quiet is both creative and not rich.
Everyone who is both not happy and brave is both not funny and not calm.
If susan is not kind or generous then susan is either generous or brave.
Everyone who is not old is humble or strong.
If john is quiet then fred is both wise and not patient.
If s... | Paul is patient. | contradiction | (![X]:((rich(X)<~>quiet(X))=>(creative(X)&~rich(X))))&
(![X]:((~happy(X)&brave(X))=>(~funny(X)&~calm(X))))&
(((~kind(susan)|generous(susan)))=>((generous(susan)<~>brave(susan))))&
(![X]:(~old(X)=>(humble(X)|strong(X))))&
((quiet(john))=>((wise(fred)&~patient(fred))))&
((?[X]:((creative(X)&rich(X))))<=>(?[X]:((old(X)<~>... | patient(paul) | [
"p0",
"p5",
"p9",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2569540233094250048111785
% SZS output start Proof for 2569540233094250048111785
1. ! [X0] : ((rich(X0) <~> quiet(X0)) => (~rich(X0) & creative(X0))) [input p0]
6. ? [X0] : (rich(X0) & creative(X0)) <=> ? [X0] : (old(X0) <~> patient(X0)) [input p5]
10. ! [X0] : (strong(X0) <=> (~quiet(X0)... | 0 |
If someone is rich or not curious then john is not kind.
Everyone who is not happy is either humble or not generous.
Everyone who is not old is wise and vice versa.
Everyone who is calm or not wise is both not old and calm.
Everyone who is wise or not wise is creative.
If someone is not strong or creative then john is ... | Mary is not funny. | neutral | ((?[X]:((rich(X)|~curious(X))))=>(~kind(john)))&
(![X]:(~happy(X)=>(humble(X)<~>~generous(X))))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((calm(X)|~wise(X))=>(~old(X)&calm(X))))&
(![X]:((wise(X)|~wise(X))=>creative(X)))&
((?[X]:((~strong(X)|creative(X))))<=>((quiet(john)<~>~strong(john))))&
(((~rich(mary)<~>~funny(mary)))=>(... | ~funny(mary) | [] | null | 0 |
Everyone who is rich or strong is calm.
Everyone who is patient is tall or creative and vice versa.
If someone is both not patient and kind then alice is both happy and not funny.
Everyone who is not curious is both old and calm and vice versa.
Everyone who is brave is not quiet and vice versa.
Everyone who is wise is ... | Lucy is funny. | neutral | (![X]:((rich(X)|strong(X))=>calm(X)))&
(![X]:(patient(X)<=>(tall(X)|creative(X))))&
((?[X]:((~patient(X)&kind(X))))=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patient(X)<~>rich(X))))&
((?[X]:(funny(X)))=>((~tall(lucy)|curious(lucy))))&
(![X... | funny(lucy) | [] | null | 0 |
Everyone who is either creative or funny is both not patient and humble and vice versa.
Everyone who is both quiet and tall is rich.
If paul is either not strong or not wise then john is either not humble or not calm and vice versa.
If someone is not kind or generous then john is rich and vice versa.
If someone is not ... | Paul is kind. | neutral | (![X]:((creative(X)<~>funny(X))<=>(~patient(X)&humble(X))))&
(![X]:((quiet(X)&tall(X))=>rich(X)))&
(((~strong(paul)<~>~wise(paul)))<=>((~humble(john)<~>~calm(john))))&
((?[X]:((~kind(X)|generous(X))))<=>(rich(john)))&
((?[X]:(~generous(X)))<=>((patient(lucy)<~>tall(lucy))))&
(((~creative(john)&~old(john)))<=>((~kind(al... | kind(paul) | [] | null | 0 |
If someone is generous then fred is brave.
If someone is both not wise and patient then someone is not funny or generous and vice versa.
Everyone who is brave or not brave is not brave and vice versa.
Everyone who is not quiet or not happy is both wise and strong.
Everyone who is not tall or creative is creative or not... | Fred is calm. | contradiction | ((?[X]:(generous(X)))=>(brave(fred)))&
((?[X]:((~wise(X)&patient(X))))<=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:((brave(X)|~brave(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~happy(X))=>(wise(X)&strong(X))))&
(![X]:((~tall(X)|creative(X))<=>(creative(X)|~patient(X))))&
(![X]:((~rich(X)&quiet(X))=>(~brave(X)<~>~humble(X))))&... | calm(fred) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6021708399801386320328235
% SZS output start Proof for 6021708399801386320328235
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (strong(X0) & wise(X0))) [input p3]
15. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (~wise(X0) & ~calm(X0))) [input p14]
20. calm(fred) [input hypothesis]
24. ! [X0] : ((s... | 0 |
If someone is both not brave and brave then someone is not brave or not wise and vice versa. If someone is strong then susan is both not curious and not funny and vice versa. If paul is old then fred is tall or not quiet. Everyone who is either not brave or curious is not happy or funny. If john is both not calm and br... | John is funny. | contradiction | ((?[X]:((~brave(X)&brave(X))))<=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:(strong(X)))<=>((~curious(susan)&~funny(susan))))&
((old(paul))=>((tall(fred)|~quiet(fred))))&
(![X]:((~brave(X)<~>curious(X))=>(~happy(X)|funny(X))))&
(((~calm(john)&brave(john)))=>(?[X]:((~curious(X)|old(X)))))&
(![X]:((rich(X)|wise(X))<=>(~quiet... | funny(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1148332105970003453445483
% SZS output start Proof for 1148332105970003453445483
15. ! [X0] : (creative(X0) <=> (funny(X0) & ~creative(X0))) [input p14]
23. funny(john) [input hypothesis]
70. ! [X0] : ((creative(X0) | (~funny(X0) | creative(X0))) & ((funny(X0) & ~creative(X0)) | ~creative... | 0 |
If alice is not strong or humble then mary is not quiet. Everyone who is either funny or not happy is wise or quiet and vice versa. Everyone who is either calm or generous is both not quiet and calm and vice versa. If fred is either not happy or not quiet then mary is not patient and vice versa. Everyone who is both ta... | Alice is not tall. | contradiction | (((~strong(alice)|humble(alice)))=>(~quiet(mary)))&
(![X]:((funny(X)<~>~happy(X))<=>(wise(X)|quiet(X))))&
(![X]:((calm(X)<~>generous(X))<=>(~quiet(X)&calm(X))))&
(((~happy(fred)<~>~quiet(fred)))<=>(~patient(mary)))&
(![X]:((tall(X)&generous(X))=>(quiet(X)|rich(X))))&
(![X]:((~generous(X)&humble(X))=>patient(X)))&
(![X]... | ~tall(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 19290962184797854002819
% SZS output start Proof for 19290962184797854002819
13. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> ~tall(X0))) [input p12]
25. ~tall(alice) [input hypothesis]
48. ! [X0] : ((~generous(X0) | ((~generous(X0) | tall(X0)) & (~tall(X0) | generous(X0)))) & (((tall(X... | 0 |
Everyone who is strong or wise is both old and not tall.
Everyone who is both not kind and not brave is either tall or not rich.
If someone is either not rich or not patient then alice is old.
Everyone who is not humble is either not kind or generous and vice versa.
Everyone who is either patient or not kind is both no... | Alice is not brave. | contradiction | (![X]:((strong(X)|wise(X))=>(old(X)&~tall(X))))&
(![X]:((~kind(X)&~brave(X))=>(tall(X)<~>~rich(X))))&
((?[X]:((~rich(X)<~>~patient(X))))=>(old(alice)))&
(![X]:(~humble(X)<=>(~kind(X)<~>generous(X))))&
(![X]:((patient(X)<~>~kind(X))=>(~brave(X)&~wise(X))))&
(![X]:((old(X)<~>rich(X))=>(humble(X)&~quiet(X))))&
((?[X]:((~r... | ~brave(alice) | [
"p3",
"p6",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 298532695606096567141729
% SZS output start Proof for 298532695606096567141729
4. ! [X0] : (~humble(X0) <=> (~kind(X0) <~> generous(X0))) [input p3]
7. ? [X0] : (humble(X0) | ~rich(X0)) <=> (happy(alice) & ~calm(alice)) [input p6]
12. ! [X0] : (~humble(X0) => (tall(X0) & ~kind(X0))) [inpu... | 0 |
Everyone who is either not brave or not rich is either calm or old and vice versa.
If someone is either creative or not patient then alice is either not funny or not strong and vice versa.
If someone is either generous or curious then someone is wise and vice versa.
If someone is not generous then lucy is either rich o... | Alice is old. | contradiction | (![X]:((~brave(X)<~>~rich(X))<=>(calm(X)<~>old(X))))&
((?[X]:((creative(X)<~>~patient(X))))<=>((~funny(alice)<~>~strong(alice))))&
((?[X]:((generous(X)<~>curious(X))))<=>(?[X]:(wise(X))))&
((?[X]:(~generous(X)))<=>((rich(lucy)<~>old(lucy))))&
((?[X]:(~brave(X)))=>(?[X]:((kind(X)<~>~curious(X)))))&
((?[X]:((generous(X)&... | old(alice) | [
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1375858497702426096947175
% SZS output start Proof for 1375858497702426096947175
13. ! [X0] : ((funny(X0) | old(X0)) => ~humble(X0)) [input p12]
15. ! [X0] : (~kind(X0) <=> (strong(X0) <~> ~strong(X0))) [input p14]
16. ? [X0] : (happy(X0) | ~kind(X0)) => (patient(alice) & humble(alice)) [... | 0 |
If lucy is not strong or wise then alice is not happy.
Everyone who is not old or not happy is not humble or not rich and vice versa.
Everyone who is not humble is either patient or quiet and vice versa.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who... | John is old. | entailment | (((~strong(lucy)|wise(lucy)))=>(~happy(alice)))&
(![X]:((~old(X)|~happy(X))<=>(~humble(X)|~rich(X))))&
(![X]:(~humble(X)<=>(patient(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:(... | old(john) | [
"p5",
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6127202770503080505789881
% SZS output start Proof for 6127202770503080505789881
6. ! [X0] : ((creative(X0) | curious(X0)) => tall(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9.... | 0 |
If someone is both not creative and not happy then alice is both kind and humble.
If mary is not kind then lucy is both not patient and not tall and vice versa.
Everyone who is not strong is not curious and vice versa.
Everyone who is not happy or not brave is both patient and not strong and vice versa.
If someone is e... | Mary is not creative. | neutral | ((?[X]:((~creative(X)&~happy(X))))=>((kind(alice)&humble(alice))))&
((~kind(mary))<=>((~patient(lucy)&~tall(lucy))))&
(![X]:(~strong(X)<=>~curious(X)))&
(![X]:((~happy(X)|~brave(X))<=>(patient(X)&~strong(X))))&
((?[X]:((funny(X)<~>wise(X))))=>((~tall(lucy)|quiet(lucy))))&
(![X]:(~happy(X)=>(~calm(X)&calm(X))))&
(((~old... | ~creative(mary) | [] | null | 0 |
Everyone who is both rich and not happy is brave or not calm and vice versa.
Everyone who is either wise or not strong is both not quiet and not patient.
Everyone who is both rich and brave is not old or humble.
If john is both creative and not tall then someone is calm or happy and vice versa.
If someone is both patie... | John is kind. | entailment | (![X]:((rich(X)&~happy(X))<=>(brave(X)|~calm(X))))&
(![X]:((wise(X)<~>~strong(X))=>(~quiet(X)&~patient(X))))&
(![X]:((rich(X)&brave(X))=>(~old(X)|humble(X))))&
(((creative(john)&~tall(john)))<=>(?[X]:((calm(X)|happy(X)))))&
((?[X]:((patient(X)&~wise(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~funny(X)&~creative(X))=>(~tall(X... | kind(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2502377247455284804770369
% SZS output start Proof for 2502377247455284804770369
18. kind(john) & old(john) [input p17]
25. ~kind(john) [input hypothesis]
131. kind(john) [cnf transformation 18]
140. ~kind(john) [cnf transformation 25]
304. 36 <=> kind(john) [avatar definition]
309. 36 [a... | 0 |
Everyone who is not tall is humble or not curious.
Everyone who is either happy or patient is not rich or not old and vice versa.
If someone is strong then john is not old or curious.
Everyone who is either creative or not humble is wise or happy and vice versa.
If mary is not calm then susan is either generous or kind... | Paul is brave. | contradiction | (![X]:(~tall(X)=>(humble(X)|~curious(X))))&
(![X]:((happy(X)<~>patient(X))<=>(~rich(X)|~old(X))))&
((?[X]:(strong(X)))=>((~old(john)|curious(john))))&
(![X]:((creative(X)<~>~humble(X))<=>(wise(X)|happy(X))))&
((~calm(mary))<=>((generous(susan)<~>kind(susan))))&
(![X]:((brave(X)&~strong(X))<=>(calm(X)&humble(X))))&
(![X... | brave(paul) | [
"p7",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 188728332281367151702597
% SZS output start Proof for 188728332281367151702597
8. (~patient(paul) | ~humble(paul)) <=> ? [X0] : (~brave(X0) | happy(X0)) [input p7]
13. ~rich(susan) <=> (patient(paul) & ~old(paul)) [input p12]
14. ! [X0] : (humble(X0) <=> (~patient(X0) <~> brave(X0))) [inp... | 0 |
Everyone who is either rich or strong is either strong or not wise.
If susan is not generous then someone is both not tall and not happy and vice versa.
Everyone who is both creative and strong is not generous and vice versa.
Everyone who is either humble or generous is either not happy or not brave and vice versa.
If ... | John is quiet. | contradiction | (![X]:((rich(X)<~>strong(X))=>(strong(X)<~>~wise(X))))&
((~generous(susan))<=>(?[X]:((~tall(X)&~happy(X)))))&
(![X]:((creative(X)&strong(X))<=>~generous(X)))&
(![X]:((humble(X)<~>generous(X))<=>(~happy(X)<~>~brave(X))))&
(((~tall(susan)<~>~brave(susan)))<=>(?[X]:(~strong(X))))&
(((calm(lucy)|tall(lucy)))=>(?[X]:((~wise... | quiet(john) | [
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 502414037026363945282437
% SZS output start Proof for 502414037026363945282437
23. happy(john) <~> ~quiet(john) [input p22]
24. ~happy(john) & humble(john) [input p23]
25. quiet(john) [input hypothesis]
84. (quiet(john) | ~happy(john)) & (~quiet(john) | happy(john)) [nnf transformation 23... | 0 |
Everyone who is both tall and not wise is either curious or not generous and vice versa.
Everyone who is either patient or not generous is not wise or old.
If someone is old then fred is not funny and vice versa.
If mary is either not wise or not kind then susan is not quiet or not calm and vice versa.
Everyone who is ... | John is not quiet. | entailment | (![X]:((tall(X)&~wise(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((patient(X)<~>~generous(X))=>(~wise(X)|old(X))))&
((?[X]:(old(X)))<=>(~funny(fred)))&
(((~wise(mary)<~>~kind(mary)))<=>((~quiet(susan)|~calm(susan))))&
(![X]:((~generous(X)|quiet(X))<=>(patient(X)&~tall(X))))&
(![X]:((~curious(X)<~>~funny(X))<=>kind(X)))... | ~quiet(john) | [
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2169379849227052309138920
% SZS output start Proof for 2169379849227052309138920
5. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> (~tall(X0) & patient(X0))) [input p4]
10. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p9]
15. ? [X0] : humble(X0) => ~humble(john) [input p14]
21. q... | 0 |
If someone is not strong or not humble then someone is not rich or not tall.
Everyone who is both humble and tall is not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Fred is not patient. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | ~patient(fred) | [
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6253019468501905195658514
% SZS output start Proof for 6253019468501905195658514
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~rich(X0)) => (~patient(X0) & funny(X0))) [input p6]
2... | 0 |
If paul is either generous or not patient then someone is strong or not strong.
Everyone who is not tall or rich is creative and vice versa.
Everyone who is either curious or not creative is both not curious and not old.
Everyone who is kind is both rich and not curious.
If alice is either not rich or not brave then ma... | Lucy is quiet. | contradiction | (((generous(paul)<~>~patient(paul)))=>(?[X]:((strong(X)|~strong(X)))))&
(![X]:((~tall(X)|rich(X))<=>creative(X)))&
(![X]:((curious(X)<~>~creative(X))=>(~curious(X)&~old(X))))&
(![X]:(kind(X)=>(rich(X)&~curious(X))))&
(((~rich(alice)<~>~brave(alice)))<=>((humble(mary)<~>quiet(mary))))&
(((~kind(paul)&generous(paul)))<=>... | quiet(lucy) | [
"p1",
"p2",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 203176397147846376359866
% SZS output start Proof for 203176397147846376359866
2. ! [X0] : ((rich(X0) | ~tall(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> ~creative(X0)) => (~old(X0) & ~curious(X0))) [input p2]
7. ! [X0] : (~creative(X0) <=> (~curious(X0) | rich(X0))) [... | 0 |
If someone is both rich and kind then fred is kind and vice versa.
Everyone who is both not quiet and quiet is both not humble and not happy.
If mary is happy then someone is creative and vice versa.
Everyone who is either creative or not brave is both not brave and not tall and vice versa.
Everyone who is either not r... | Mary is not generous. | contradiction | ((?[X]:((rich(X)&kind(X))))<=>(kind(fred)))&
(![X]:((~quiet(X)&quiet(X))=>(~humble(X)&~happy(X))))&
((happy(mary))<=>(?[X]:(creative(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~rich(X)<~>~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((patient... | ~generous(mary) | [
"p3",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2637347444578336325628165
% SZS output start Proof for 2637347444578336325628165
4. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~tall(X0) & ~brave(X0))) [input p3]
8. ! [X0] : (creative(X0) <=> (tall(X0) <~> ~generous(X0))) [input p7]
10. ! [X0] : (~quiet(X0) => ~brave(X0)) [input p9]
11... | 0 |
Everyone who is tall is not humble.
Everyone who is happy or not curious is either generous or not calm.
Everyone who is curious is wise or not curious.
Everyone who is wise is either not rich or not wise.
Everyone who is both creative and not patient is both calm and not generous.
Everyone who is both not old and old ... | Susan is not wise. | neutral | (![X]:(tall(X)=>~humble(X)))&
(![X]:((happy(X)|~curious(X))=>(generous(X)<~>~calm(X))))&
(![X]:(curious(X)=>(wise(X)|~curious(X))))&
(![X]:(wise(X)=>(~rich(X)<~>~wise(X))))&
(![X]:((creative(X)&~patient(X))=>(calm(X)&~generous(X))))&
(![X]:((~old(X)&old(X))=>~humble(X)))&
(![X]:((brave(X)&calm(X))=>(~old(X)<~>~patient(... | ~wise(susan) | [] | null | 0 |
If paul is both not funny and not happy then someone is not generous and vice versa.
Everyone who is not happy is not strong and vice versa.
If mary is either humble or calm then susan is both calm and not patient and vice versa.
Everyone who is not curious or brave is kind.
If mary is both not kind and not humble then... | Mary is rich. | neutral | (((~funny(paul)&~happy(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(((humble(mary)<~>calm(mary)))<=>((calm(susan)&~patient(susan))))&
(![X]:((~curious(X)|brave(X))=>kind(X)))&
(((~kind(mary)&~humble(mary)))<=>((creative(susan)<~>rich(susan))))&
(![X]:((calm(X)&~old(X))=>(funny(X)&happy(X))))&
(((... | rich(mary) | [] | null | 0 |
If mary is not generous then someone is both not brave and calm. If someone is curious or quiet then someone is curious and vice versa. If lucy is either brave or quiet then someone is both funny and rich and vice versa. Everyone who is either not wise or curious is not wise or not strong and vice versa. Everyone who i... | John is funny. | contradiction | ((~generous(mary))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(curious(X))))&
(((brave(lucy)<~>quiet(lucy)))<=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)|rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((happy(X)|creative(X))=>(curiou... | funny(john) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5721215603152850367521206
% SZS output start Proof for 5721215603152850367521206
2. ? [X0] : (quiet(X0) | curious(X0)) <=> ? [X0] : curious(X0) [input p1]
4. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (~strong(X0) | ~wise(X0))) [input p3]
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) |... | 0 |
Everyone who is both not happy and not curious is either not humble or calm and vice versa. If alice is not humble or generous then fred is either not humble or not strong. Everyone who is old is not quiet and vice versa. Everyone who is old is not curious or not calm and vice versa. Everyone who is not wise is either ... | Susan is quiet. | contradiction | (![X]:((~happy(X)&~curious(X))<=>(~humble(X)<~>calm(X))))&
(((~humble(alice)|generous(alice)))=>((~humble(fred)<~>~strong(fred))))&
(![X]:(old(X)<=>~quiet(X)))&
(![X]:(old(X)<=>(~curious(X)|~calm(X))))&
(![X]:(~wise(X)<=>(happy(X)<~>~curious(X))))&
(![X]:((calm(X)|~humble(X))=>(happy(X)|~curious(X))))&
(![X]:((creative... | quiet(susan) | [
"p0",
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5494031663689835179878954
% SZS output start Proof for 5494031663689835179878954
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~humble(X0) <~> calm(X0))) [input p0]
3. ! [X0] : (old(X0) <=> ~quiet(X0)) [input p2]
4. ! [X0] : (old(X0) <=> (~calm(X0) | ~curious(X0))) [input p3]
11. ! [X0] :... | 0 |
If someone is both not happy and not kind then someone is rich and vice versa.
If someone is happy or old then john is funny or tall.
If someone is happy or strong then john is funny or humble.
If someone is both happy and curious then paul is curious and vice versa.
Everyone who is either brave or not strong is strong... | John is humble. | entailment | ((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:(rich(X))))&
((?[X]:((happy(X)|old(X))))=>((funny(john)|tall(john))))&
((?[X]:((happy(X)|strong(X))))=>((funny(john)|humble(john))))&
((?[X]:((happy(X)&curious(X))))<=>(curious(paul)))&
(![X]:((brave(X)<~>~strong(X))=>(strong(X)|~humble(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(happy... | humble(john) | [
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 170616230798104347142971
% SZS output start Proof for 170616230798104347142971
11. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : tall(X0) [input p10]
12. ! [X0] : (happy(X0) <=> (patient(X0) | ~creative(X0))) [input p11]
15. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~strong(X0) | str... | 0 |
Everyone who is funny or rich is both quiet and curious.
If someone is both humble and patient then someone is both not calm and not humble and vice versa.
If someone is both patient and quiet then lucy is both not humble and not brave.
Everyone who is wise or patient is rich or not kind.
Everyone who is both not happy... | Mary is not curious. | contradiction | (![X]:((funny(X)|rich(X))=>(quiet(X)&curious(X))))&
((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~calm(X)&~humble(X)))))&
((?[X]:((patient(X)&quiet(X))))=>((~humble(lucy)&~brave(lucy))))&
(![X]:((wise(X)|patient(X))=>(rich(X)|~kind(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(patient(X)<~>~funny(X))))&
((?[X]:((creative(X)&cal... | ~curious(mary) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4809367868244465753803414
% SZS output start Proof for 4809367868244465753803414
1. ! [X0] : ((rich(X0) | funny(X0)) => (curious(X0) & quiet(X0))) [input p0]
2. ? [X0] : (patient(X0) & humble(X0)) <=> ? [X0] : (~humble(X0) & ~calm(X0)) [input p1]
5. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=>... | 0 |
Everyone who is not patient is either patient or curious.
Everyone who is not quiet is either patient or brave.
Everyone who is rich is both not old and not rich.
Everyone who is either rich or brave is both humble and not brave and vice versa.
Everyone who is not old or creative is creative and vice versa.
If someone ... | John is kind. | contradiction | (![X]:(~patient(X)=>(patient(X)<~>curious(X))))&
(![X]:(~quiet(X)=>(patient(X)<~>brave(X))))&
(![X]:(rich(X)=>(~old(X)&~rich(X))))&
(![X]:((rich(X)<~>brave(X))<=>(humble(X)&~brave(X))))&
(![X]:((~old(X)|creative(X))<=>creative(X)))&
((?[X]:(wise(X)))=>((strong(john)&tall(john))))&
(![X]:(~calm(X)=>~rich(X)))&
(![X]:((~... | kind(john) | [
"p2",
"p3",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8394301899418077069303487
% SZS output start Proof for 8394301899418077069303487
3. ! [X0] : (rich(X0) => (~rich(X0) & ~old(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> brave(X0)) <=> (~brave(X0) & humble(X0))) [input p3]
9. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> (~humble(X0) <~> ~gen... | 0 |
Everyone who is not patient or wise is both funny and tall. If someone is happy then mary is not generous or funny. If someone is funny then mary is either brave or not curious. Everyone who is not old is not patient. If someone is both not quiet and quiet then mary is happy. If someone is either not brave or not curio... | Paul is funny. | entailment | (![X]:((~patient(X)|wise(X))=>(funny(X)&tall(X))))&
((?[X]:(happy(X)))=>((~generous(mary)|funny(mary))))&
((?[X]:(funny(X)))=>((brave(mary)<~>~curious(mary))))&
(![X]:(~old(X)=>~patient(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(happy(mary)))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(fred)&strong(fred))))&
((?[X]:((o... | funny(paul) | [
"p0",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4601712663893779103388726
% SZS output start Proof for 4601712663893779103388726
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (tall(X0) & funny(X0))) [input p0]
10. ! [X0] : (~wise(X0) => ~strong(X0)) [input p9]
23. strong(paul) [input p22]
24. ~funny(paul) [input hypothesis]
30. ! [X0] : ((... | 0 |
Everyone who is quiet is not wise.
If someone is both not patient and strong then john is either not happy or not creative and vice versa.
Everyone who is not patient or not generous is creative.
If paul is either not happy or happy then someone is both not funny and not patient.
Everyone who is patient is both not kin... | Lucy is not patient. | neutral | (![X]:(quiet(X)=>~wise(X)))&
((?[X]:((~patient(X)&strong(X))))<=>((~happy(john)<~>~creative(john))))&
(![X]:((~patient(X)|~generous(X))=>creative(X)))&
(((~happy(paul)<~>happy(paul)))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:(patient(X)=>(~kind(X)&happy(X))))&
(![X]:((~funny(X)|~old(X))<=>(curious(X)|~old(X))))&
(![X]... | ~patient(lucy) | [] | null | 0 |
If someone is not generous then alice is both not creative and not tall. Everyone who is quiet or old is old or generous. If susan is either not wise or old then someone is not funny or not patient. If someone is both not quiet and happy then someone is both creative and rich and vice versa. If lucy is happy or not hum... | Alice is calm. | contradiction | ((?[X]:(~generous(X)))=>((~creative(alice)&~tall(alice))))&
(![X]:((quiet(X)|old(X))=>(old(X)|generous(X))))&
(((~wise(susan)<~>old(susan)))=>(?[X]:((~funny(X)|~patient(X)))))&
((?[X]:((~quiet(X)&happy(X))))<=>(?[X]:((creative(X)&rich(X)))))&
(((happy(lucy)|~humble(lucy)))=>((~quiet(mary)<~>brave(mary))))&
(![X]:((~fun... | calm(alice) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6908033045673121953686268
% SZS output start Proof for 6908033045673121953686268
10. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (rich(X0) | quiet(X0))) [input p9]
14. ! [X0] : ((happy(X0) | ~happy(X0)) <=> (~quiet(X0) <~> ~calm(X0))) [input p13]
25. calm(alice) [input hypothesis]
61. ! [X0] ... | 0 |
Everyone who is both not wise and not tall is old or rich and vice versa. If fred is both curious and funny then alice is not wise. If someone is either not patient or strong then john is both not calm and strong. Everyone who is either not humble or funny is both not old and curious. If alice is either strong or quiet... | Fred is not rich. | entailment | (![X]:((~wise(X)&~tall(X))<=>(old(X)|rich(X))))&
(((curious(fred)&funny(fred)))=>(~wise(alice)))&
((?[X]:((~patient(X)<~>strong(X))))=>((~calm(john)&strong(john))))&
(![X]:((~humble(X)<~>funny(X))=>(~old(X)&curious(X))))&
(((strong(alice)<~>quiet(alice)))<=>(?[X]:((happy(X)|~happy(X)))))&
(![X]:((kind(X)|~kind(X))<=>(~... | ~rich(fred) | [
"p0",
"p6",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1352862616315670992503293
% SZS output start Proof for 1352862616315670992503293
1. ! [X0] : ((~tall(X0) & ~wise(X0)) <=> (rich(X0) | old(X0))) [input p0]
7. ! [X0] : (strong(X0) => ~kind(X0)) [input p6]
11. ! [X0] : ((kind(X0) <~> strong(X0)) => ~rich(X0)) [input p10]
15. ! [X0] : ((curi... | 0 |
If alice is not curious or not creative then someone is either not brave or not strong. If susan is both humble and not humble then fred is both calm and old and vice versa. Everyone who is not old is both strong and brave. If mary is not brave then someone is either humble or not creative. Everyone who is either not b... | Mary is generous. | entailment | (((~curious(alice)|~creative(alice)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(((humble(susan)&~humble(susan)))<=>((calm(fred)&old(fred))))&
(![X]:(~old(X)=>(strong(X)&brave(X))))&
((~brave(mary))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>calm(X))<... | generous(mary) | [
"p2",
"p5",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 137738560517242981055600
% SZS output start Proof for 137738560517242981055600
3. ! [X0] : (~old(X0) => (brave(X0) & strong(X0))) [input p2]
6. ! [X0] : ((~old(X0) <~> calm(X0)) <=> (~brave(X0) <~> brave(X0))) [input p5]
10. ! [X0] : ((~brave(X0) | happy(X0)) => (calm(X0) & funny(X0))) [i... | 0 |
If someone is either kind or not creative then lucy is old.
Everyone who is both not strong and not generous is not quiet or generous.
If lucy is not brave or not humble then someone is not tall and vice versa.
Everyone who is either not quiet or rich is old or kind.
If fred is both not old and rich then someone is bot... | Alice is creative. | entailment | ((?[X]:((kind(X)<~>~creative(X))))=>(old(lucy)))&
(![X]:((~strong(X)&~generous(X))=>(~quiet(X)|generous(X))))&
(((~brave(lucy)|~humble(lucy)))<=>(?[X]:(~tall(X))))&
(![X]:((~quiet(X)<~>rich(X))=>(old(X)|kind(X))))&
(((~old(fred)&rich(fred)))<=>(?[X]:((~kind(X)&wise(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((creative(X)|ri... | creative(alice) | [
"p6",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6363868809102887127889302
% SZS output start Proof for 6363868809102887127889302
7. ! [X0] : ((~curious(X0) | ~rich(X0)) => tall(X0)) [input p6]
9. ! [X0] : ((~humble(X0) | ~patient(X0)) <=> (creative(X0) <~> tall(X0))) [input p8]
12. ! [X0] : ((rich(X0) | tall(X0)) => (~happy(X0) & ~pati... | 0 |
If mary is either not funny or not calm then someone is either creative or calm. Everyone who is strong is not curious. If susan is humble then someone is rich. Everyone who is quiet is either not tall or not generous. Everyone who is either not generous or not happy is tall. Everyone who is either not calm or old is q... | Lucy is not kind. | neutral | (((~funny(mary)<~>~calm(mary)))=>(?[X]:((creative(X)<~>calm(X)))))&
(![X]:(strong(X)=>~curious(X)))&
((humble(susan))=>(?[X]:(rich(X))))&
(![X]:(quiet(X)=>(~tall(X)<~>~generous(X))))&
(![X]:((~generous(X)<~>~happy(X))=>tall(X)))&
(![X]:((~calm(X)<~>old(X))=>(quiet(X)|funny(X))))&
(![X]:((patient(X)<~>~humble(X))<=>(~ol... | ~kind(lucy) | [] | null | 0 |
Everyone who is both not wise and not funny is not kind or calm and vice versa.
Everyone who is either not wise or not generous is humble and vice versa.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not br... | Paul is quiet. | entailment | (![X]:((~wise(X)&~funny(X))<=>(~kind(X)|calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>humble(X)))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~s... | quiet(paul) | [
"p3",
"p4",
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1614892959677568363629789
% SZS output start Proof for 1614892959677568363629789
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~generous(X0))) [input p3]
5. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((calm(X0) | curious(X0)) <=> (generous(X0) & humble(X0))) [inpu... | 0 |
If someone is happy then susan is tall and vice versa.
If susan is not kind then john is not humble or rich.
If someone is not kind or not curious then paul is either funny or strong and vice versa.
Everyone who is brave is either not tall or creative and vice versa.
Everyone who is not old or not rich is not brave.
Ev... | Mary is funny. | neutral | ((?[X]:(happy(X)))<=>(tall(susan)))&
((~kind(susan))=>((~humble(john)|rich(john))))&
((?[X]:((~kind(X)|~curious(X))))<=>((funny(paul)<~>strong(paul))))&
(![X]:(brave(X)<=>(~tall(X)<~>creative(X))))&
(![X]:((~old(X)|~rich(X))=>~brave(X)))&
(![X]:((patient(X)|~old(X))<=>(calm(X)&creative(X))))&
(![X]:((kind(X)|funny(X))<... | funny(mary) | [] | null | 0 |
Everyone who is humble or not old is both rich and curious and vice versa. If mary is not quiet then fred is generous and vice versa. Everyone who is happy or not kind is quiet or creative. If john is both generous and not happy then someone is either strong or humble and vice versa. If mary is not happy then lucy is b... | Alice is old. | entailment | (![X]:((humble(X)|~old(X))<=>(rich(X)&curious(X))))&
((~quiet(mary))<=>(generous(fred)))&
(![X]:((happy(X)|~kind(X))=>(quiet(X)|creative(X))))&
(((generous(john)&~happy(john)))<=>(?[X]:((strong(X)<~>humble(X)))))&
((~happy(mary))<=>((~funny(lucy)&patient(lucy))))&
(![X]:((funny(X)&~wise(X))=>(generous(X)&~rich(X))))&
(... | old(alice) | [
"p0",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 171382110098732628036136
% SZS output start Proof for 171382110098732628036136
1. ! [X0] : ((~old(X0) | humble(X0)) <=> (curious(X0) & rich(X0))) [input p0]
10. ! [X0] : (~calm(X0) => (~humble(X0) & ~quiet(X0))) [input p9]
11. ! [X0] : ((~wise(X0) & generous(X0)) <=> ~calm(X0)) [input p10... | 0 |
Everyone who is rich or humble is either tall or not happy. Everyone who is either calm or creative is both funny and not strong. Everyone who is both tall and creative is both generous and calm. If someone is not tall or not calm then someone is humble or old and vice versa. If susan is calm then alice is both patient... | Mary is creative. | contradiction | (![X]:((rich(X)|humble(X))=>(tall(X)<~>~happy(X))))&
(![X]:((calm(X)<~>creative(X))=>(funny(X)&~strong(X))))&
(![X]:((tall(X)&creative(X))=>(generous(X)&calm(X))))&
((?[X]:((~tall(X)|~calm(X))))<=>(?[X]:((humble(X)|old(X)))))&
((calm(susan))=>((patient(alice)&calm(alice))))&
((?[X]:((generous(X)|~humble(X))))=>((kind(m... | creative(mary) | [
"p5",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1263157586356446760577170
% SZS output start Proof for 1263157586356446760577170
6. ? [X0] : (~humble(X0) | generous(X0)) => (~happy(mary) & kind(mary)) [input p5]
8. ! [X0] : ((happy(X0) | ~generous(X0)) <=> ~brave(X0)) [input p7]
10. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> funny(X0... | 0 |
Everyone who is either not kind or kind is both not brave and calm and vice versa.
If paul is either strong or not humble then someone is both not strong and not brave.
Everyone who is both not old and generous is either not old or patient and vice versa.
Everyone who is not brave is either kind or curious.
If mary is ... | Paul is not wise. | contradiction | (![X]:((~kind(X)<~>kind(X))<=>(~brave(X)&calm(X))))&
(((strong(paul)<~>~humble(paul)))=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~old(X)&generous(X))<=>(~old(X)<~>patient(X))))&
(![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan))... | ~wise(paul) | [
"p0",
"p2",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8546496942302181778831217
% SZS output start Proof for 8546496942302181778831217
1. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (calm(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((generous(X0) & ~old(X0)) <=> (~old(X0) <~> patient(X0))) [input p2]
9. ! [X0] : (happy(X0) => ~quiet(X0)) [input p8]... | 0 |
Everyone who is happy or wise is both not calm and not happy and vice versa. If alice is either humble or not funny then someone is wise. Everyone who is not tall or wise is kind or not rich. Everyone who is not old or not generous is not calm and vice versa. If lucy is both curious and not calm then lucy is not old or... | Mary is quiet. | neutral | (![X]:((happy(X)|wise(X))<=>(~calm(X)&~happy(X))))&
(((humble(alice)<~>~funny(alice)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|wise(X))=>(kind(X)|~rich(X))))&
(![X]:((~old(X)|~generous(X))<=>~calm(X)))&
(((curious(lucy)&~calm(lucy)))<=>((~old(lucy)|~kind(lucy))))&
(![X]:((~kind(X)<~>tall(X))<=>(creative(X)|curious(X))))&
... | quiet(mary) | [] | null | 0 |
If someone is either happy or not old then someone is not quiet and vice versa. If lucy is not old or brave then paul is both brave and not humble. If someone is both not curious and strong then lucy is not tall or not rich. Everyone who is strong or brave is old or strong. Everyone who is either humble or kind is eith... | Alice is not happy. | entailment | ((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:(~quiet(X))))&
(((~old(lucy)|brave(lucy)))=>((brave(paul)&~humble(paul))))&
((?[X]:((~curious(X)&strong(X))))=>((~tall(lucy)|~rich(lucy))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>... | ~happy(alice) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5529572243141570368505582
% SZS output start Proof for 5529572243141570368505582
10. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p9]
12. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p11]
25. happy(alice) [input hypothesis]
54. ! [X0] ... | 0 |
If someone is either calm or humble then alice is happy or not funny.
If someone is both happy and tall then paul is old or not generous.
Everyone who is both not humble and not calm is either not funny or strong and vice versa.
Everyone who is not old is patient.
Everyone who is not calm is not brave and vice versa.
I... | Paul is not happy. | neutral | ((?[X]:((calm(X)<~>humble(X))))=>((happy(alice)|~funny(alice))))&
((?[X]:((happy(X)&tall(X))))=>((old(paul)|~generous(paul))))&
(![X]:((~humble(X)&~calm(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:(~calm(X)<=>~brave(X)))&
((?[X]:((calm(X)<~>rich(X))))=>(?[X]:(quiet(X))))&
(![X]:((tall(X)&brave(... | ~happy(paul) | [] | null | 0 |
Everyone who is not rich or rich is not patient.
If paul is either not brave or generous then lucy is both not wise and funny.
If paul is either old or not curious then someone is both generous and not tall.
If someone is either not quiet or old then lucy is strong or not quiet.
Everyone who is not humble or patient is... | Alice is strong. | contradiction | (![X]:((~rich(X)|rich(X))=>~patient(X)))&
(((~brave(paul)<~>generous(paul)))=>((~wise(lucy)&funny(lucy))))&
(((old(paul)<~>~curious(paul)))=>(?[X]:((generous(X)&~tall(X)))))&
((?[X]:((~quiet(X)<~>old(X))))=>((strong(lucy)|~quiet(lucy))))&
(![X]:((~humble(X)|patient(X))=>~patient(X)))&
(((curious(lucy)&rich(lucy)))<=>(~... | strong(alice) | [
"p0",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3375408985744861690283825
% SZS output start Proof for 3375408985744861690283825
1. ! [X0] : ((rich(X0) | ~rich(X0)) => ~patient(X0)) [input p0]
11. (~creative(fred) <~> creative(fred)) <=> curious(alice) [input p10]
13. ! [X0] : ((creative(X0) | curious(X0)) => (strong(X0) <~> ~patient(X... | 0 |
If someone is not rich or not tall then john is creative or rich and vice versa.
If someone is patient then paul is both not funny and old and vice versa.
Everyone who is either not tall or brave is rich or not quiet and vice versa.
If someone is both brave and not happy then alice is both not funny and strong and vice... | Alice is kind. | entailment | ((?[X]:((~rich(X)|~tall(X))))<=>((creative(john)|rich(john))))&
((?[X]:(patient(X)))<=>((~funny(paul)&old(paul))))&
(![X]:((~tall(X)<~>brave(X))<=>(rich(X)|~quiet(X))))&
((?[X]:((brave(X)&~happy(X))))<=>((~funny(alice)&strong(alice))))&
(![X]:(creative(X)=>~happy(X)))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~happy(X)<... | kind(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4865034018074509706474238
% SZS output start Proof for 4865034018074509706474238
7. ! [X0] : ((patient(X0) & kind(X0)) <=> (~strong(X0) | ~kind(X0))) [input p6]
25. ~kind(alice) [input hypothesis]
59. ! [X0] : (((patient(X0) & kind(X0)) | (strong(X0) & kind(X0))) & ((~strong(X0) | ~kind(X... | 0 |
Everyone who is either wise or quiet is either not generous or generous and vice versa. If someone is not calm then someone is old or not funny and vice versa. Everyone who is not brave is kind and vice versa. Everyone who is either not happy or strong is both not rich and not calm. Everyone who is tall or strong is bo... | Mary is humble. | entailment | (![X]:((wise(X)<~>quiet(X))<=>(~generous(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((old(X)|~funny(X)))))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:((~happy(X)<~>strong(X))=>(~rich(X)&~calm(X))))&
(![X]:((tall(X)|strong(X))<=>(~curious(X)&wise(X))))&
((?[X]:((old(X)&~kind(X))))=>(?[X]:(humble(X))))&
(((funny(susan)&pa... | humble(mary) | [
"p0",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7684046183460499038787382
% SZS output start Proof for 7684046183460499038787382
1. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (~generous(X0) <~> generous(X0))) [input p0]
12. ! [X0] : ((humble(X0) <~> ~wise(X0)) => (~calm(X0) <~> humble(X0))) [input p11]
24. quiet(mary) & calm(mary) [input p... | 0 |
Everyone who is both creative and tall is both wise and not tall and vice versa. Everyone who is either rich or not curious is either happy or old. If someone is generous or happy then someone is not humble. Everyone who is both not brave and not calm is not rich or humble. Everyone who is not happy or rich is both pat... | Susan is not tall. | neutral | (![X]:((creative(X)&tall(X))<=>(wise(X)&~tall(X))))&
(![X]:((rich(X)<~>~curious(X))=>(happy(X)<~>old(X))))&
((?[X]:((generous(X)|happy(X))))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)&~calm(X))=>(~rich(X)|humble(X))))&
(![X]:((~happy(X)|rich(X))=>(patient(X)&curious(X))))&
((happy(susan))=>((~funny(mary)<~>~curious(mary)... | ~tall(susan) | [] | null | 0 |
Everyone who is both creative and not brave is both tall and not curious and vice versa. Everyone who is both not kind and funny is happy or not creative. Everyone who is both funny and creative is both not tall and generous. If someone is creative or kind then fred is not calm. Everyone who is both not old and not hap... | Lucy is not rich. | neutral | (![X]:((creative(X)&~brave(X))<=>(tall(X)&~curious(X))))&
(![X]:((~kind(X)&funny(X))=>(happy(X)|~creative(X))))&
(![X]:((funny(X)&creative(X))=>(~tall(X)&generous(X))))&
((?[X]:((creative(X)|kind(X))))=>(~calm(fred)))&
(![X]:((~old(X)&~happy(X))<=>(strong(X)|curious(X))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~hap... | ~rich(lucy) | [] | null | 0 |
Everyone who is either happy or not curious is either not brave or happy and vice versa. If john is both happy and not old then paul is not wise or kind and vice versa. If alice is not quiet then someone is both not kind and not strong and vice versa. Everyone who is both not tall and generous is not wise and vice vers... | Mary is curious. | contradiction | (![X]:((happy(X)<~>~curious(X))<=>(~brave(X)<~>happy(X))))&
(((happy(john)&~old(john)))<=>((~wise(paul)|kind(paul))))&
((~quiet(alice))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:((~tall(X)&generous(X))<=>~wise(X)))&
(![X]:((~brave(X)&calm(X))<=>(brave(X)|generous(X))))&
(((kind(mary)<~>wise(mary)))<=>(?[X]:((~wise(X)&cu... | curious(mary) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2261279047413046369574566
% SZS output start Proof for 2261279047413046369574566
1. ! [X0] : ((happy(X0) <~> ~curious(X0)) <=> (~brave(X0) <~> happy(X0))) [input p0]
5. ! [X0] : ((calm(X0) & ~brave(X0)) <=> (generous(X0) | brave(X0))) [input p4]
24. curious(mary) [input hypothesis]
38. ! ... | 0 |
If fred is not quiet then mary is brave or creative. If fred is either patient or not brave then someone is both not tall and tall. If john is both not creative and happy then someone is either not creative or not strong and vice versa. If alice is not funny or not strong then fred is both kind and not rich. Everyone w... | John is not humble. | neutral | ((~quiet(fred))=>((brave(mary)|creative(mary))))&
(((patient(fred)<~>~brave(fred)))=>(?[X]:((~tall(X)&tall(X)))))&
(((~creative(john)&happy(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))&
(((~funny(alice)|~strong(alice)))=>((kind(fred)&~rich(fred))))&
(![X]:((~tall(X)<~>~kind(X))<=>creative(X)))&
((?[X]:((~brave(X)<~>... | ~humble(john) | [] | null | 0 |
If someone is wise then someone is either not kind or not happy and vice versa.
If susan is not tall or not wise then alice is either not kind or tall and vice versa.
If mary is not quiet or patient then susan is both not wise and not creative and vice versa.
Everyone who is curious or not brave is not tall and vice ve... | John is not brave. | entailment | ((?[X]:(wise(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
(((~tall(susan)|~wise(susan)))<=>((~kind(alice)<~>tall(alice))))&
(((~quiet(mary)|patient(mary)))<=>((~wise(susan)&~creative(susan))))&
(![X]:((curious(X)|~brave(X))<=>~tall(X)))&
(![X]:(generous(X)=>(~humble(X)<~>~wise(X))))&
(![X]:((~creative(X)&~kind(X))=>(humble... | ~brave(john) | [
"p3",
"p5",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2000126225663641114807480
% SZS output start Proof for 2000126225663641114807480
4. ! [X0] : ((~brave(X0) | curious(X0)) <=> ~tall(X0)) [input p3]
6. ! [X0] : ((~kind(X0) & ~creative(X0)) => (humble(X0) <~> tall(X0))) [input p5]
9. ! [X0] : (humble(X0) => (kind(X0) <~> ~brave(X0))) [input... | 0 |
If someone is either not tall or not creative then someone is happy and vice versa.
Everyone who is not patient or not old is not old or not kind.
Everyone who is either not strong or not humble is not happy or not strong.
Everyone who is either strong or not calm is rich.
If mary is both generous and kind then lucy is... | Lucy is not wise. | contradiction | ((?[X]:((~tall(X)<~>~creative(X))))<=>(?[X]:(happy(X))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)|~kind(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(~happy(X)|~strong(X))))&
(![X]:((strong(X)<~>~calm(X))=>rich(X)))&
(((generous(mary)&kind(mary)))<=>((~creative(lucy)|old(lucy))))&
((?[X]:((~quiet(X)&happy(X))))=>((creative(... | ~wise(lucy) | [
"p4",
"p7",
"p10",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3847929242432033706494767
% SZS output start Proof for 3847929242432033706494767
5. (kind(mary) & generous(mary)) <=> (old(lucy) | ~creative(lucy)) [input p4]
8. (~patient(lucy) | patient(lucy)) <=> (strong(mary) & ~humble(mary)) [input p7]
11. ? [X0] : (~rich(X0) <~> ~generous(X0)) => (o... | 0 |
Everyone who is not kind or not quiet is curious.
Everyone who is either funny or not patient is both not creative and calm and vice versa.
If someone is quiet then susan is humble and vice versa.
If someone is both kind and generous then fred is both not generous and not creative and vice versa.
Everyone who is either... | Paul is brave. | entailment | (![X]:((~kind(X)|~quiet(X))=>curious(X)))&
(![X]:((funny(X)<~>~patient(X))<=>(~creative(X)&calm(X))))&
((?[X]:(quiet(X)))<=>(humble(susan)))&
((?[X]:((kind(X)&generous(X))))<=>((~generous(fred)&~creative(fred))))&
(![X]:((~happy(X)<~>brave(X))<=>curious(X)))&
(((curious(alice)<~>rich(alice)))=>((old(mary)&patient(mary)... | brave(paul) | [
"p1",
"p6",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6958630765312788683473983
% SZS output start Proof for 6958630765312788683473983
2. ! [X0] : ((funny(X0) <~> ~patient(X0)) <=> (calm(X0) & ~creative(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (~rich(X0) <~> ~calm(X0))) [input p6]
10. ! [X0] : ((~patient(X0) | ~quiet(X0... | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Fred is not tall. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | ~tall(fred) | [] | null | 0 |
Everyone who is either not brave or quiet is not generous or quiet. If someone is both humble and not old then someone is not calm. Everyone who is either not quiet or not brave is both not generous and quiet. Everyone who is old is either not old or patient. If fred is either not strong or kind then susan is strong or... | John is not calm. | contradiction | (![X]:((~brave(X)<~>quiet(X))=>(~generous(X)|quiet(X))))&
((?[X]:((humble(X)&~old(X))))=>(?[X]:(~calm(X))))&
(![X]:((~quiet(X)<~>~brave(X))=>(~generous(X)&quiet(X))))&
(![X]:(old(X)=>(~old(X)<~>patient(X))))&
(((~strong(fred)<~>kind(fred)))<=>((strong(susan)|old(susan))))&
((?[X]:((kind(X)&~generous(X))))<=>((~brave(jo... | ~calm(john) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8771597083318704559715820
% SZS output start Proof for 8771597083318704559715820
8. ! [X0] : (~calm(X0) => (old(X0) & ~rich(X0))) [input p7]
16. ! [X0] : (~calm(X0) => (~old(X0) & ~strong(X0))) [input p15]
25. ~calm(john) [input hypothesis]
34. ! [X0] : ((old(X0) & ~rich(X0)) | calm(X0)) ... | 0 |
Everyone who is not curious is either not old or not calm. If john is quiet or not tall then someone is not curious or tall. Everyone who is either not creative or patient is not rich. If paul is not tall or not strong then alice is both not patient and happy and vice versa. If someone is calm then alice is both happy ... | Mary is not tall. | contradiction | (![X]:(~curious(X)=>(~old(X)<~>~calm(X))))&
(((quiet(john)|~tall(john)))=>(?[X]:((~curious(X)|tall(X)))))&
(![X]:((~creative(X)<~>patient(X))=>~rich(X)))&
(((~tall(paul)|~strong(paul)))<=>((~patient(alice)&happy(alice))))&
((?[X]:(calm(X)))<=>((happy(alice)&~calm(alice))))&
(((~calm(alice)|~patient(alice)))<=>((~old(lu... | ~tall(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7321477227906254942498093
% SZS output start Proof for 7321477227906254942498093
11. ! [X0] : ((curious(X0) & tall(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p10]
22. ~tall(mary) [input hypothesis]
54. ! [X0] : (((curious(X0) & tall(X0)) | ((strong(X0) | strong(X0)) & (~strong(X0) | ~s... | 0 |
Everyone who is either strong or kind is either generous or not patient and vice versa.
If someone is generous or not humble then mary is both kind and not happy and vice versa.
If susan is either not tall or creative then someone is either not old or humble.
Everyone who is not generous or happy is not brave and vice ... | John is not calm. | entailment | (![X]:((strong(X)<~>kind(X))<=>(generous(X)<~>~patient(X))))&
((?[X]:((generous(X)|~humble(X))))<=>((kind(mary)&~happy(mary))))&
(((~tall(susan)<~>creative(susan)))=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:((~generous(X)|happy(X))<=>~brave(X)))&
(((generous(john)&happy(john)))<=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:((... | ~calm(john) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7513420340027735350784091
% SZS output start Proof for 7513420340027735350784091
2. ? [X0] : (~humble(X0) | generous(X0)) <=> (~happy(mary) & kind(mary)) [input p1]
4. ! [X0] : ((happy(X0) | ~generous(X0)) <=> ~brave(X0)) [input p3]
5. (happy(john) & generous(john)) <=> ? [X0] : (quiet(X0... | 0 |
If someone is wise then someone is creative.
If mary is wise then paul is both brave and tall.
If alice is patient or not humble then lucy is not brave and vice versa.
Everyone who is not creative or not wise is either kind or rich.
If someone is quiet or funny then someone is either humble or not brave.
Everyone who i... | Fred is not tall. | entailment | ((?[X]:(wise(X)))=>(?[X]:(creative(X))))&
((wise(mary))=>((brave(paul)&tall(paul))))&
(((patient(alice)|~humble(alice)))<=>(~brave(lucy)))&
(![X]:((~creative(X)|~wise(X))=>(kind(X)<~>rich(X))))&
((?[X]:((quiet(X)|funny(X))))=>(?[X]:((humble(X)<~>~brave(X)))))&
(![X]:((~rich(X)<~>humble(X))=>(~tall(X)&~curious(X))))&
(!... | ~tall(fred) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8722835614337542487486714
% SZS output start Proof for 8722835614337542487486714
4. ! [X0] : ((~wise(X0) | ~creative(X0)) => (kind(X0) <~> rich(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> humble(X0)) => (~curious(X0) & ~tall(X0))) [input p5]
8. ! [X0] : ((~rich(X0) | wise(X0)) => (genero... | 0 |
If alice is either curious or not patient then someone is not wise and vice versa.
If someone is either brave or not humble then paul is both not curious and calm and vice versa.
Everyone who is not wise is both old and not funny.
Everyone who is not rich or kind is either not rich or strong and vice versa.
If john is ... | Paul is generous. | neutral | (((curious(alice)<~>~patient(alice)))<=>(?[X]:(~wise(X))))&
((?[X]:((brave(X)<~>~humble(X))))<=>((~curious(paul)&calm(paul))))&
(![X]:(~wise(X)=>(old(X)&~funny(X))))&
(![X]:((~rich(X)|kind(X))<=>(~rich(X)<~>strong(X))))&
(((quiet(john)|~funny(john)))<=>(?[X]:(~calm(X))))&
((?[X]:((~rich(X)<~>~patient(X))))=>(?[X]:((gen... | generous(paul) | [] | null | 0 |
Everyone who is calm is both patient and not funny and vice versa. Everyone who is not patient is not humble or not rich and vice versa. Everyone who is not funny or creative is either not happy or not calm. If susan is not wise then someone is old and vice versa. If mary is both old and not patient then someone is eit... | Mary is kind. | contradiction | (![X]:(calm(X)<=>(patient(X)&~funny(X))))&
(![X]:(~patient(X)<=>(~humble(X)|~rich(X))))&
(![X]:((~funny(X)|creative(X))=>(~happy(X)<~>~calm(X))))&
((~wise(susan))<=>(?[X]:(old(X))))&
(((old(mary)&~patient(mary)))<=>(?[X]:((~funny(X)<~>humble(X)))))&
((~old(mary))<=>((~funny(mary)<~>~brave(mary))))&
((?[X]:((~strong(X)<... | kind(mary) | [
"p0",
"p2",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1665317805505954797527413
% SZS output start Proof for 1665317805505954797527413
1. ! [X0] : (calm(X0) <=> (~funny(X0) & patient(X0))) [input p0]
3. ! [X0] : ((creative(X0) | ~funny(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
8. ! [X0] : (curious(X0) => (~calm(X0) <~> funny(X0))) [inpu... | 0 |
If susan is strong or creative then fred is both not creative and not funny.
Everyone who is not happy or not brave is not strong.
If lucy is either funny or not curious then john is not calm.
Everyone who is either generous or not kind is not humble or not calm.
If someone is curious or funny then fred is not generous... | Susan is not happy. | entailment | (((strong(susan)|creative(susan)))=>((~creative(fred)&~funny(fred))))&
(![X]:((~happy(X)|~brave(X))=>~strong(X)))&
(((funny(lucy)<~>~curious(lucy)))=>(~calm(john)))&
(![X]:((generous(X)<~>~kind(X))=>(~humble(X)|~calm(X))))&
((?[X]:((curious(X)|funny(X))))=>(~generous(fred)))&
(![X]:((funny(X)|~generous(X))<=>(~strong(X... | ~happy(susan) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 577695598134196884902832
% SZS output start Proof for 577695598134196884902832
11. ? [X0] : (~wise(X0) | ~rich(X0)) => (patient(susan) & ~happy(susan)) [input p10]
23. ? [X0] : ~wise(X0) [input p22]
25. happy(susan) [input hypothesis]
35. (patient(susan) & ~happy(susan)) | ! [X0] : (wise(... | 0 |
Everyone who is either not happy or calm is happy or strong and vice versa. Everyone who is not quiet or old is not brave. Everyone who is either not calm or not rich is old. Everyone who is kind is not humble or not tall and vice versa. Everyone who is generous or not happy is not wise and vice versa. If john is both ... | Fred is not old. | contradiction | (![X]:((~happy(X)<~>calm(X))<=>(happy(X)|strong(X))))&
(![X]:((~quiet(X)|old(X))=>~brave(X)))&
(![X]:((~calm(X)<~>~rich(X))=>old(X)))&
(![X]:(kind(X)<=>(~humble(X)|~tall(X))))&
(![X]:((generous(X)|~happy(X))<=>~wise(X)))&
(((tall(john)&rich(john)))<=>((~humble(susan)&~calm(susan))))&
(![X]:((~brave(X)|rich(X))<=>(patie... | ~old(fred) | [
"p0",
"p2",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5714479869595471593578733
% SZS output start Proof for 5714479869595471593578733
1. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> (strong(X0) | happy(X0))) [input p0]
3. ! [X0] : ((~calm(X0) <~> ~rich(X0)) => old(X0)) [input p2]
10. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) & patient(X0)... | 0 |
Everyone who is not calm or quiet is not generous or generous and vice versa.
Everyone who is either funny or calm is either generous or quiet and vice versa.
If someone is either not tall or funny then john is either not quiet or not funny and vice versa.
Everyone who is both patient and tall is not tall and vice vers... | Lucy is not quiet. | contradiction | (![X]:((~calm(X)|quiet(X))<=>(~generous(X)|generous(X))))&
(![X]:((funny(X)<~>calm(X))<=>(generous(X)<~>quiet(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=>((~quiet(john)<~>~funny(john))))&
(![X]:((patient(X)&tall(X))<=>~tall(X)))&
(![X]:(~creative(X)<=>brave(X)))&
((wise(mary))<=>(?[X]:((~old(X)<~>generous(X)))))&
((~old(p... | ~quiet(lucy) | [
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 130114087417455553479630
% SZS output start Proof for 130114087417455553479630
4. ! [X0] : ((tall(X0) & patient(X0)) <=> ~tall(X0)) [input p3]
8. ! [X0] : ((creative(X0) | curious(X0)) => (creative(X0) & quiet(X0))) [input p7]
14. ! [X0] : (~creative(X0) => (~quiet(X0) <~> tall(X0))) [inp... | 0 |
Everyone who is funny is either generous or not creative.
Everyone who is both happy and wise is curious or not old and vice versa.
If fred is either not strong or not quiet then john is either curious or humble.
Everyone who is curious or calm is both not kind and not quiet.
If someone is patient then someone is both ... | Alice is rich. | contradiction | (![X]:(funny(X)=>(generous(X)<~>~creative(X))))&
(![X]:((happy(X)&wise(X))<=>(curious(X)|~old(X))))&
(((~strong(fred)<~>~quiet(fred)))=>((curious(john)<~>humble(john))))&
(![X]:((curious(X)|calm(X))=>(~kind(X)&~quiet(X))))&
((?[X]:(patient(X)))<=>(?[X]:((brave(X)&curious(X)))))&
((?[X]:((~happy(X)<~>wise(X))))=>(?[X]:(... | rich(alice) | [
"p1",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1073427614206026904867458
% SZS output start Proof for 1073427614206026904867458
2. ! [X0] : ((wise(X0) & happy(X0)) <=> (~old(X0) | curious(X0))) [input p1]
7. (~calm(paul) | ~wise(paul)) <=> ? [X0] : (~old(X0) <~> old(X0)) [input p6]
9. ! [X0] : (~calm(X0) => ~wise(X0)) [input p8]
15. ~... | 0 |
If someone is not strong then someone is not old and vice versa. If john is both not rich and not quiet then fred is rich or not quiet and vice versa. Everyone who is quiet is wise and vice versa. Everyone who is quiet is either not tall or curious and vice versa. If alice is either curious or kind then someone is both... | Alice is not happy. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(~old(X))))&
(((~rich(john)&~quiet(john)))<=>((rich(fred)|~quiet(fred))))&
(![X]:(quiet(X)<=>wise(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>curious(X))))&
(((curious(alice)<~>kind(alice)))=>(?[X]:((~funny(X)&~quiet(X)))))&
(((wise(mary)&patient(mary)))<=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~w... | ~happy(alice) | [] | null | 0 |
If someone is either not quiet or calm then alice is not rich or brave and vice versa.
Everyone who is both not wise and not quiet is not generous.
If john is quiet then susan is either brave or tall and vice versa.
If someone is either quiet or not wise then someone is generous and vice versa.
Everyone who is either n... | John is not quiet. | contradiction | ((?[X]:((~quiet(X)<~>calm(X))))<=>((~rich(alice)|brave(alice))))&
(![X]:((~wise(X)&~quiet(X))=>~generous(X)))&
((quiet(john))<=>((brave(susan)<~>tall(susan))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:(generous(X))))&
(![X]:((~rich(X)<~>~creative(X))=>(strong(X)<~>~quiet(X))))&
(![X]:((humble(X)&~curious(X))=>(~tall(X)... | ~quiet(john) | [
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5845501873519734849602740
% SZS output start Proof for 5845501873519734849602740
7. ? [X0] : (~happy(X0) | rich(X0)) => (~creative(john) & ~tall(john)) [input p6]
10. ! [X0] : ((~rich(X0) | brave(X0)) <=> (~creative(X0) | quiet(X0))) [input p9]
12. ! [X0] : (funny(X0) <=> (~creative(X0) <... | 0 |
Everyone who is both tall and brave is both not creative and not rich and vice versa.
Everyone who is kind is not strong.
If fred is wise then mary is both wise and not brave.
Everyone who is both not happy and quiet is either calm or not old and vice versa.
If someone is either not generous or funny then someone is ei... | Alice is not strong. | contradiction | (![X]:((tall(X)&brave(X))<=>(~creative(X)&~rich(X))))&
(![X]:(kind(X)=>~strong(X)))&
((wise(fred))=>((wise(mary)&~brave(mary))))&
(![X]:((~happy(X)&quiet(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((~generous(X)<~>funny(X))))=>(?[X]:((patient(X)<~>~strong(X)))))&
(![X]:((~quiet(X)|~humble(X))<=>(~humble(X)&strong(X))))&
(![X]... | ~strong(alice) | [
"p5",
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1441131334537023012677227
% SZS output start Proof for 1441131334537023012677227
6. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (strong(X0) & ~humble(X0))) [input p5]
8. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (humble(X0) & quiet(X0))) [input p7]
11. ! [X0] : ((~quiet(X0) | generous(X0)) =... | 0 |
If mary is both calm and curious then someone is either not curious or patient.
Everyone who is both not old and patient is both humble and not calm and vice versa.
If lucy is either not patient or calm then someone is funny and vice versa.
Everyone who is creative or quiet is either old or tall and vice versa.
Everyon... | Fred is generous. | contradiction | (((calm(mary)&curious(mary)))=>(?[X]:((~curious(X)<~>patient(X)))))&
(![X]:((~old(X)&patient(X))<=>(humble(X)&~calm(X))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]... | generous(fred) | [
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2141219963688548598282967
% SZS output start Proof for 2141219963688548598282967
5. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p4]
7. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p6]
8. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) <~> ~quie... | 0 |
If someone is tall or creative then someone is not kind and vice versa.
If fred is not creative then john is either wise or not brave and vice versa.
If paul is quiet then alice is both not generous and strong.
If someone is either kind or not kind then someone is both not patient and generous.
Everyone who is not funn... | Mary is funny. | contradiction | ((?[X]:((tall(X)|creative(X))))<=>(?[X]:(~kind(X))))&
((~creative(fred))<=>((wise(john)<~>~brave(john))))&
((quiet(paul))=>((~generous(alice)&strong(alice))))&
((?[X]:((kind(X)<~>~kind(X))))=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:(~funny(X)<=>(calm(X)|~calm(X))))&
(![X]:((~old(X)<~>brave(X))=>(~happy(X)<~>~humble(... | funny(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3783421493647594984939883
% SZS output start Proof for 3783421493647594984939883
5. ! [X0] : (~funny(X0) <=> (~calm(X0) | calm(X0))) [input p4]
24. funny(mary) [input hypothesis]
53. ! [X0] : ((~funny(X0) | (calm(X0) & ~calm(X0))) & ((~calm(X0) | calm(X0)) | funny(X0))) [nnf transformatio... | 0 |
If someone is both rich and kind then paul is quiet or patient.
Everyone who is both not rich and calm is either not creative or strong.
Everyone who is either not patient or strong is both not strong and not tall.
If someone is not calm or creative then someone is creative or humble and vice versa.
If someone is not p... | Mary is patient. | neutral | ((?[X]:((rich(X)&kind(X))))=>((quiet(paul)|patient(paul))))&
(![X]:((~rich(X)&calm(X))=>(~creative(X)<~>strong(X))))&
(![X]:((~patient(X)<~>strong(X))=>(~strong(X)&~tall(X))))&
((?[X]:((~calm(X)|creative(X))))<=>(?[X]:((creative(X)|humble(X)))))&
((?[X]:((~patient(X)|curious(X))))=>(?[X]:((brave(X)|~calm(X)))))&
(![X]:... | patient(mary) | [] | null | 0 |
If alice is both not quiet and not creative then someone is both kind and happy and vice versa.
If paul is brave or not quiet then someone is either not funny or old.
If someone is both not humble and not tall then john is not humble or not tall.
If someone is both not old and patient then someone is both patient and o... | Susan is not happy. | entailment | (((~quiet(alice)&~creative(alice)))<=>(?[X]:((kind(X)&happy(X)))))&
(((brave(paul)|~quiet(paul)))=>(?[X]:((~funny(X)<~>old(X)))))&
((?[X]:((~humble(X)&~tall(X))))=>((~humble(john)|~tall(john))))&
((?[X]:((~old(X)&patient(X))))=>(?[X]:((patient(X)&old(X)))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~patient(X)<~>~generous(... | ~happy(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2439236267955805007922401
% SZS output start Proof for 2439236267955805007922401
16. ! [X0] : ((~wise(X0) | happy(X0)) => (~happy(X0) & brave(X0))) [input p15]
23. happy(susan) [input hypothesis]
37. ! [X0] : ((~happy(X0) & brave(X0)) | (wise(X0) & ~happy(X0))) [ennf transformation 16]
13... | 0 |
Everyone who is both not old and quiet is rich or brave and vice versa.
Everyone who is not kind or not creative is both happy and old and vice versa.
If someone is not strong or quiet then alice is both happy and wise.
Everyone who is not old is not old or quiet and vice versa.
If fred is both rich and not strong then... | Paul is kind. | entailment | (![X]:((~old(X)&quiet(X))<=>(rich(X)|brave(X))))&
(![X]:((~kind(X)|~creative(X))<=>(happy(X)&old(X))))&
((?[X]:((~strong(X)|quiet(X))))=>((happy(alice)&wise(alice))))&
(![X]:(~old(X)<=>(~old(X)|quiet(X))))&
(((rich(fred)&~strong(fred)))<=>(?[X]:(~patient(X))))&
(![X]:((strong(X)&curious(X))=>~brave(X)))&
(((~generous(j... | kind(paul) | [
"p0",
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 96029907096601967605605
% SZS output start Proof for 96029907096601967605605
1. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (brave(X0) | rich(X0))) [input p0]
2. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> (old(X0) & happy(X0))) [input p1]
16. ~rich(paul) <=> (brave(paul) & ~strong(paul)) [input p... | 0 |
Everyone who is not kind is creative or old.
Everyone who is both not wise and not calm is both tall and patient and vice versa.
Everyone who is not generous or not quiet is both calm and not curious and vice versa.
Everyone who is humble or not generous is not humble or not curious and vice versa.
If someone is curiou... | John is generous. | entailment | (![X]:(~kind(X)=>(creative(X)|old(X))))&
(![X]:((~wise(X)&~calm(X))<=>(tall(X)&patient(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(calm(X)&~curious(X))))&
(![X]:((humble(X)|~generous(X))<=>(~humble(X)|~curious(X))))&
((?[X]:(curious(X)))<=>((~creative(fred)|calm(fred))))&
((curious(fred))<=>((~funny(fred)|~wise(fred))))&... | generous(john) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4460493717998417195371045
% SZS output start Proof for 4460493717998417195371045
3. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~curious(X0) & calm(X0))) [input p2]
16. ~calm(john) & ~wise(john) [input p15]
22. ~generous(john) [input hypothesis]
39. ! [X0] : (((~quiet(X0) | ~generous(X0))... | 0 |
If someone is quiet or not brave then someone is happy or not wise.
Everyone who is either strong or not creative is curious.
Everyone who is both not calm and not creative is not kind and vice versa.
If john is either not curious or not tall then alice is creative and vice versa.
Everyone who is not generous or not qu... | Paul is curious. | entailment | ((?[X]:((quiet(X)|~brave(X))))=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:((strong(X)<~>~creative(X))=>curious(X)))&
(![X]:((~calm(X)&~creative(X))<=>~kind(X)))&
(((~curious(john)<~>~tall(john)))<=>(creative(alice)))&
(![X]:((~generous(X)|~quiet(X))<=>(~funny(X)<~>~calm(X))))&
((kind(susan))=>(~old(alice)))&
(![X]:(funny(X)... | curious(paul) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3871125441467284936528775
% SZS output start Proof for 3871125441467284936528775
11. ! [X0] : ((~funny(X0) | ~humble(X0)) => funny(X0)) [input p10]
16. ! [X0] : ((funny(X0) | curious(X0)) <=> (humble(X0) & curious(X0))) [input p15]
24. ~curious(paul) [input hypothesis]
36. ! [X0] : (funny... | 0 |
If someone is not quiet or brave then someone is old or calm and vice versa.
Everyone who is both wise and rich is not tall and vice versa.
Everyone who is either not creative or brave is happy.
Everyone who is strong or happy is either humble or calm.
If someone is both happy and quiet then someone is both tall and no... | Lucy is not quiet. | contradiction | ((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:((old(X)|calm(X)))))&
(![X]:((wise(X)&rich(X))<=>~tall(X)))&
(![X]:((~creative(X)<~>brave(X))=>happy(X)))&
(![X]:((strong(X)|happy(X))=>(humble(X)<~>calm(X))))&
((?[X]:((happy(X)&quiet(X))))=>(?[X]:((tall(X)&~tall(X)))))&
((?[X]:((~tall(X)&kind(X))))<=>((~generous(alice)<~>happy(a... | ~quiet(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4827916769083676886377067
% SZS output start Proof for 4827916769083676886377067
8. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~quiet(X0)) [input p7]
25. ~quiet(lucy) [input hypothesis]
59. ! [X0] : (((curious(X0) & quiet(X0)) | quiet(X0)) & (~quiet(X0) | (~curious(X0) | ~quiet(X0)))) [nnf t... | 0 |
Everyone who is not happy or not rich is both curious and calm.
Everyone who is both old and not patient is either not rich or wise.
Everyone who is both quiet and calm is both creative and happy and vice versa.
Everyone who is not happy is brave or old and vice versa.
If someone is creative then mary is not funny or n... | Paul is not calm. | neutral | (![X]:((~happy(X)|~rich(X))=>(curious(X)&calm(X))))&
(![X]:((old(X)&~patient(X))=>(~rich(X)<~>wise(X))))&
(![X]:((quiet(X)&calm(X))<=>(creative(X)&happy(X))))&
(![X]:(~happy(X)<=>(brave(X)|old(X))))&
((?[X]:(creative(X)))<=>((~funny(mary)|~patient(mary))))&
((?[X]:((brave(X)&calm(X))))=>(?[X]:(brave(X))))&
(![X]:((quie... | ~calm(paul) | [] | null | 0 |
If lucy is either old or calm then someone is either patient or not wise and vice versa. If alice is not wise then mary is both brave and calm and vice versa. If someone is humble or not old then john is both not rich and strong. If susan is old or not old then lucy is funny. Everyone who is not creative or not patient... | Mary is not quiet. | contradiction | (((old(lucy)<~>calm(lucy)))<=>(?[X]:((patient(X)<~>~wise(X)))))&
((~wise(alice))<=>((brave(mary)&calm(mary))))&
((?[X]:((humble(X)|~old(X))))=>((~rich(john)&strong(john))))&
(((old(susan)|~old(susan)))=>(funny(lucy)))&
(![X]:((~creative(X)|~patient(X))=>(~curious(X)&kind(X))))&
(![X]:(brave(X)<=>~kind(X)))&
(![X]:((cal... | ~quiet(mary) | [
"p4",
"p5",
"p6",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5378256179098796186490240
% SZS output start Proof for 5378256179098796186490240
5. ! [X0] : ((~patient(X0) | ~creative(X0)) => (kind(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (brave(X0) <=> ~kind(X0)) [input p5]
7. ! [X0] : ((~humble(X0) & calm(X0)) <=> (strong(X0) | kind(X0))) [input ... | 0 |
Everyone who is funny or curious is either not brave or not patient. Everyone who is either creative or not generous is both wise and not curious and vice versa. Everyone who is not quiet or not rich is not old or quiet. Everyone who is not humble or creative is not happy and vice versa. Everyone who is both not strong... | Paul is not creative. | contradiction | (![X]:((funny(X)|curious(X))=>(~brave(X)<~>~patient(X))))&
(![X]:((creative(X)<~>~generous(X))<=>(wise(X)&~curious(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~old(X)|quiet(X))))&
(![X]:((~humble(X)|creative(X))<=>~happy(X)))&
(![X]:((~strong(X)&~generous(X))=>(~rich(X)<~>~brave(X))))&
((?[X]:((~happy(X)|brave(X))))=>(?[X]:((... | ~creative(paul) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8505835607827461292223273
% SZS output start Proof for 8505835607827461292223273
4. ! [X0] : ((creative(X0) | ~humble(X0)) <=> ~happy(X0)) [input p3]
17. humble(paul) <~> happy(paul) [input p16]
25. ~creative(paul) [input hypothesis]
42. ! [X0] : (((creative(X0) | ~humble(X0)) | happy(X0)... | 0 |
If someone is not kind or not generous then someone is calm and vice versa.
Everyone who is both generous and not quiet is both not generous and not brave.
Everyone who is either kind or not rich is both not strong and not kind.
If john is humble then someone is creative.
Everyone who is either not patient or wise is c... | Alice is not rich. | neutral | ((?[X]:((~kind(X)|~generous(X))))<=>(?[X]:(calm(X))))&
(![X]:((generous(X)&~quiet(X))=>(~generous(X)&~brave(X))))&
(![X]:((kind(X)<~>~rich(X))=>(~strong(X)&~kind(X))))&
((humble(john))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)<~>wise(X))=>(creative(X)|generous(X))))&
(![X]:((quiet(X)&~calm(X))=>(patient(X)&~generous(... | ~rich(alice) | [] | null | 0 |
If someone is either not rich or not wise then someone is wise.
Everyone who is both not old and wise is both not tall and not wise.
Everyone who is kind is not generous and vice versa.
Everyone who is both not creative and not curious is not humble or not calm.
Everyone who is not humble or curious is not creative or ... | Alice is not happy. | entailment | ((?[X]:((~rich(X)<~>~wise(X))))=>(?[X]:(wise(X))))&
(![X]:((~old(X)&wise(X))=>(~tall(X)&~wise(X))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:((~creative(X)&~curious(X))=>(~humble(X)|~calm(X))))&
(![X]:((~humble(X)|curious(X))<=>(~creative(X)|calm(X))))&
((?[X]:((rich(X)&~generous(X))))<=>(?[X]:(curious(X))))&
((?[X]:((h... | ~happy(alice) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4658681193981009688691930
% SZS output start Proof for 4658681193981009688691930
15. ! [X0] : ((~old(X0) <~> ~generous(X0)) <=> ~generous(X0)) [input p14]
20. ~happy(alice) <~> ~old(alice) [input p19]
25. happy(alice) [input hypothesis]
68. ! [X0] : ((((generous(X0) | old(X0)) & (~generou... | 0 |
If someone is both not strong and happy then lucy is not brave or creative. If someone is humble or not generous then someone is both strong and not wise and vice versa. Everyone who is generous is calm or not old and vice versa. Everyone who is both not wise and not curious is quiet and vice versa. Everyone who is bot... | Lucy is not rich. | entailment | ((?[X]:((~strong(X)&happy(X))))=>((~brave(lucy)|creative(lucy))))&
((?[X]:((humble(X)|~generous(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(generous(X)<=>(calm(X)|~old(X))))&
(![X]:((~wise(X)&~curious(X))<=>quiet(X)))&
(![X]:((rich(X)&happy(X))=>(wise(X)|old(X))))&
(![X]:((~tall(X)<~>~old(X))=>(~wise(X)<~>humble(X))... | ~rich(lucy) | [
"p2",
"p3",
"p4",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6579490964790516928222749
% SZS output start Proof for 6579490964790516928222749
3. ! [X0] : (generous(X0) <=> (~old(X0) | calm(X0))) [input p2]
4. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> quiet(X0)) [input p3]
5. ! [X0] : ((happy(X0) & rich(X0)) => (old(X0) | wise(X0))) [input p4]
10. ! ... | 0 |
Everyone who is humble or not quiet is both funny and not funny. If fred is either not creative or not calm then fred is either patient or happy and vice versa. Everyone who is not rich or happy is both funny and not kind. Everyone who is both calm and kind is both kind and not happy and vice versa. Everyone who is bot... | Mary is rich. | contradiction | (![X]:((humble(X)|~quiet(X))=>(funny(X)&~funny(X))))&
(((~creative(fred)<~>~calm(fred)))<=>((patient(fred)<~>happy(fred))))&
(![X]:((~rich(X)|happy(X))=>(funny(X)&~kind(X))))&
(![X]:((calm(X)&kind(X))<=>(kind(X)&~happy(X))))&
(![X]:((~old(X)&~creative(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~generous(X)<~>kind(X))<=>... | rich(mary) | [
"p0",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2515612891656938491684049
% SZS output start Proof for 2515612891656938491684049
1. ! [X0] : ((~quiet(X0) | humble(X0)) => (~funny(X0) & funny(X0))) [input p0]
7. ! [X0] : ((wise(X0) | ~calm(X0)) <=> calm(X0)) [input p6]
8. ! [X0] : (patient(X0) <=> rich(X0)) [input p7]
11. (~patient(mary... | 0 |
Everyone who is either humble or curious is not curious or happy. If susan is calm or humble then john is not curious or not tall and vice versa. Everyone who is both not tall and wise is funny or old. Everyone who is both wise and not creative is generous or brave. Everyone who is old or not kind is both not calm and ... | Lucy is not tall. | neutral | (![X]:((humble(X)<~>curious(X))=>(~curious(X)|happy(X))))&
(((calm(susan)|humble(susan)))<=>((~curious(john)|~tall(john))))&
(![X]:((~tall(X)&wise(X))=>(funny(X)|old(X))))&
(![X]:((wise(X)&~creative(X))=>(generous(X)|brave(X))))&
(![X]:((old(X)|~kind(X))<=>(~calm(X)&wise(X))))&
(![X]:((strong(X)<~>~funny(X))<=>(~humble... | ~tall(lucy) | [] | null | 0 |
If someone is not old or creative then someone is either tall or not kind and vice versa.
Everyone who is both creative and calm is old.
If someone is both not quiet and not calm then fred is not old or calm and vice versa.
Everyone who is both not creative and kind is not calm or rich and vice versa.
If alice is both ... | Fred is not quiet. | contradiction | ((?[X]:((~old(X)|creative(X))))<=>(?[X]:((tall(X)<~>~kind(X)))))&
(![X]:((creative(X)&calm(X))=>old(X)))&
((?[X]:((~quiet(X)&~calm(X))))<=>((~old(fred)|calm(fred))))&
(![X]:((~creative(X)&kind(X))<=>(~calm(X)|rich(X))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:(kind(X)=>(quiet(X)&generous(X)... | ~quiet(fred) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 205293725149863120122739
% SZS output start Proof for 205293725149863120122739
3. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred)) [input p2]
4. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p3]
6. ! [X0] : (kind(X0) => (generous(X0) & quiet(X0))) ... | 0 |
Everyone who is both wise and not creative is both calm and not patient. Everyone who is not kind or calm is kind or rich. Everyone who is not old or not creative is either not humble or not tall and vice versa. Everyone who is not calm or kind is not kind or not strong and vice versa. If fred is old or not brave then ... | Mary is not strong. | contradiction | (![X]:((wise(X)&~creative(X))=>(calm(X)&~patient(X))))&
(![X]:((~kind(X)|calm(X))=>(kind(X)|rich(X))))&
(![X]:((~old(X)|~creative(X))<=>(~humble(X)<~>~tall(X))))&
(![X]:((~calm(X)|kind(X))<=>(~kind(X)|~strong(X))))&
(((old(fred)|~brave(fred)))=>((~funny(lucy)|~brave(lucy))))&
(![X]:((funny(X)&~happy(X))=>(generous(X)<~... | ~strong(mary) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8461109554551766184155070
% SZS output start Proof for 8461109554551766184155070
16. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> patient(X0)) [input p15]
22. patient(mary) <~> ~rich(mary) [input p21]
25. ~strong(mary) [input hypothesis]
63. ! [X0] : ((((strong(X0) | ~rich(X0)) & (~strong(X0)... | 0 |
Everyone who is not patient is not wise.
Everyone who is either not patient or creative is not rich or not humble.
If someone is either kind or wise then fred is either creative or happy and vice versa.
Everyone who is happy or not wise is strong.
Everyone who is both wise and calm is not generous.
Everyone who is both... | Paul is not wise. | entailment | (![X]:(~patient(X)=>~wise(X)))&
(![X]:((~patient(X)<~>creative(X))=>(~rich(X)|~humble(X))))&
((?[X]:((kind(X)<~>wise(X))))<=>((creative(fred)<~>happy(fred))))&
(![X]:((happy(X)|~wise(X))=>strong(X)))&
(![X]:((wise(X)&calm(X))=>~generous(X)))&
(![X]:((~quiet(X)&brave(X))=>(creative(X)<~>funny(X))))&
((?[X]:((tall(X)<~>~... | ~wise(paul) | [
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2219652036268127277380350
% SZS output start Proof for 2219652036268127277380350
5. ! [X0] : ((calm(X0) & wise(X0)) => ~generous(X0)) [input p4]
15. ! [X0] : ((old(X0) | funny(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p14]
20. calm(paul) & funny(paul) [input p19]
25. wise(paul) [input... | 0 |
Everyone who is not creative is both not calm and not humble and vice versa. Everyone who is either happy or strong is not quiet or not patient and vice versa. Everyone who is not creative or not curious is both not old and tall and vice versa. If someone is both not curious and not happy then lucy is both wise and not... | Alice is not happy. | neutral | (![X]:(~creative(X)<=>(~calm(X)&~humble(X))))&
(![X]:((happy(X)<~>strong(X))<=>(~quiet(X)|~patient(X))))&
(![X]:((~creative(X)|~curious(X))<=>(~old(X)&tall(X))))&
((?[X]:((~curious(X)&~happy(X))))<=>((wise(lucy)&~calm(lucy))))&
(![X]:((~strong(X)<~>wise(X))=>~quiet(X)))&
(![X]:(humble(X)<=>brave(X)))&
(![X]:(~funny(X)<... | ~happy(alice) | [] | null | 0 |
If lucy is funny or not rich then someone is either not kind or not humble and vice versa.
Everyone who is both not patient and creative is either brave or not brave.
If mary is either not kind or strong then someone is either creative or not calm and vice versa.
Everyone who is either rich or not old is not rich or ge... | Fred is not creative. | entailment | (((funny(lucy)|~rich(lucy)))<=>(?[X]:((~kind(X)<~>~humble(X)))))&
(![X]:((~patient(X)&creative(X))=>(brave(X)<~>~brave(X))))&
(((~kind(mary)<~>strong(mary)))<=>(?[X]:((creative(X)<~>~calm(X)))))&
(![X]:((rich(X)<~>~old(X))<=>(~rich(X)|generous(X))))&
((?[X]:(~creative(X)))=>((kind(paul)<~>humble(paul))))&
(![X]:(funny(... | ~creative(fred) | [
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1940551884293749208838363
% SZS output start Proof for 1940551884293749208838363
8. (creative(fred) | kind(fred)) => ? [X0] : ~rich(X0) [input p7]
13. ! [X0] : ((~happy(X0) | rich(X0)) <=> calm(X0)) [input p12]
15. ! [X0] : ((calm(X0) & happy(X0)) <=> (~creative(X0) | creative(X0))) [inpu... | 0 |
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