premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If alice is both tall and old then someone is both rich and strong and vice versa. If someone is not old or curious then someone is either not generous or not strong and vice versa. Everyone who is both happy and funny is both not wise and humble. Everyone who is either brave or rich is both not calm and not brave and ... | Fred is strong. | entailment | (((tall(alice)&old(alice)))<=>(?[X]:((rich(X)&strong(X)))))&
((?[X]:((~old(X)|curious(X))))<=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((happy(X)&funny(X))=>(~wise(X)&humble(X))))&
(![X]:((brave(X)<~>rich(X))<=>(~calm(X)&~brave(X))))&
(![X]:(funny(X)=>(generous(X)<~>~strong(X))))&
(![X]:((kind(X)|~quiet(X))=>(~happ... | strong(fred) | [
"p3",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7821168559510164243243851
% SZS output start Proof for 7821168559510164243243851
4. ! [X0] : ((brave(X0) <~> rich(X0)) <=> (~brave(X0) & ~calm(X0))) [input p3]
9. ! [X0] : (~creative(X0) <=> (~calm(X0) | ~brave(X0))) [input p8]
10. ! [X0] : ((funny(X0) <~> calm(X0)) => (calm(X0) & tall(X0... | 0 |
If fred is not rich or generous then fred is both tall and brave and vice versa. Everyone who is both funny and kind is both curious and not funny and vice versa. Everyone who is rich or brave is either not old or not tall. If someone is not old or creative then paul is either not kind or not strong. Everyone who is no... | Mary is not quiet. | neutral | (((~rich(fred)|generous(fred)))<=>((tall(fred)&brave(fred))))&
(![X]:((funny(X)&kind(X))<=>(curious(X)&~funny(X))))&
(![X]:((rich(X)|brave(X))=>(~old(X)<~>~tall(X))))&
((?[X]:((~old(X)|creative(X))))=>((~kind(paul)<~>~strong(paul))))&
(![X]:((~patient(X)|~kind(X))=>~patient(X)))&
(![X]:(~creative(X)=>~wise(X)))&
(((~qu... | ~quiet(mary) | [] | null | 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... | John is funny. | entailment | ((?[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... | funny(john) | [
"p2",
"p6",
"p7",
"p8",
"p11",
"p12",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7922800093036724098601559
% SZS output start Proof for 7922800093036724098601559
3. ! [X0] : (~strong(X0) <=> ~curious(X0)) [input p2]
7. (calm(john) | ~old(john)) => (curious(john) & quiet(john)) [input p6]
8. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> (~patient(X0) | ~kind(X0))) [input p7... | 0 |
Everyone who is both strong and not tall is not wise or funny.
Everyone who is both not rich and quiet is either kind or not quiet.
Everyone who is not calm or happy is not brave.
Everyone who is either not wise or not tall is not funny and vice versa.
If someone is quiet then paul is not curious.
If john is either tal... | Susan is not rich. | neutral | (![X]:((strong(X)&~tall(X))=>(~wise(X)|funny(X))))&
(![X]:((~rich(X)&quiet(X))=>(kind(X)<~>~quiet(X))))&
(![X]:((~calm(X)|happy(X))=>~brave(X)))&
(![X]:((~wise(X)<~>~tall(X))<=>~funny(X)))&
((?[X]:(quiet(X)))=>(~curious(paul)))&
(((tall(john)<~>funny(john)))=>(?[X]:((~rich(X)&~tall(X)))))&
(![X]:((~old(X)&brave(X))<=>(... | ~rich(susan) | [] | null | 0 |
Everyone who is not calm is both creative and tall and vice versa.
If susan is not generous then someone is funny.
Everyone who is either not brave or kind is not curious.
Everyone who is both not funny and not old is curious or not kind.
Everyone who is either not happy or not calm is happy or not strong and vice vers... | Susan is creative. | entailment | (![X]:(~calm(X)<=>(creative(X)&tall(X))))&
((~generous(susan))=>(?[X]:(funny(X))))&
(![X]:((~brave(X)<~>kind(X))=>~curious(X)))&
(![X]:((~funny(X)&~old(X))=>(curious(X)|~kind(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>(happy(X)|~strong(X))))&
(![X]:(calm(X)<=>(happy(X)<~>strong(X))))&
(((generous(paul)|old(paul)))<=>(?[X]:... | creative(susan) | [
"p0",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8526745106625457063295994
% SZS output start Proof for 8526745106625457063295994
1. ! [X0] : (~calm(X0) <=> (tall(X0) & creative(X0))) [input p0]
5. ! [X0] : ((~happy(X0) <~> ~calm(X0)) <=> (~strong(X0) | happy(X0))) [input p4]
6. ! [X0] : (calm(X0) <=> (happy(X0) <~> strong(X0))) [input ... | 0 |
If susan is wise or kind then someone is both not brave and not humble and vice versa.
Everyone who is not generous is either happy or curious and vice versa.
Everyone who is humble or kind is patient.
Everyone who is either old or brave is both not generous and not curious and vice versa.
If paul is not rich then mary... | Lucy is quiet. | neutral | (((wise(susan)|kind(susan)))<=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:(~generous(X)<=>(happy(X)<~>curious(X))))&
(![X]:((humble(X)|kind(X))=>patient(X)))&
(![X]:((old(X)<~>brave(X))<=>(~generous(X)&~curious(X))))&
((~rich(paul))=>(~curious(mary)))&
(![X]:((~generous(X)<~>~quiet(X))=>(~quiet(X)|humble(X))))&
(![X]:(~cr... | quiet(lucy) | [] | null | 0 |
If someone is either happy or not curious then alice is not old or not tall.
If someone is wise then someone is both not wise and tall.
Everyone who is happy is both brave and not humble.
Everyone who is kind is curious and vice versa.
Everyone who is not rich is not wise or patient and vice versa.
If paul is rich or n... | Mary is not creative. | entailment | ((?[X]:((happy(X)<~>~curious(X))))=>((~old(alice)|~tall(alice))))&
((?[X]:(wise(X)))=>(?[X]:((~wise(X)&tall(X)))))&
(![X]:(happy(X)=>(brave(X)&~humble(X))))&
(![X]:(kind(X)<=>curious(X)))&
(![X]:(~rich(X)<=>(~wise(X)|patient(X))))&
(((rich(paul)|~old(paul)))<=>((kind(susan)&~kind(susan))))&
(![X]:(strong(X)=>~patient(X... | ~creative(mary) | [
"p1",
"p2",
"p4",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7731857904204561894242933
% SZS output start Proof for 7731857904204561894242933
2. ? [X0] : wise(X0) => ? [X0] : (tall(X0) & ~wise(X0)) [input p1]
3. ! [X0] : (happy(X0) => (~humble(X0) & brave(X0))) [input p2]
5. ! [X0] : (~rich(X0) <=> (patient(X0) | ~wise(X0))) [input p4]
10. ! [X0] :... | 0 |
Everyone who is not kind is not generous or kind. Everyone who is not calm or patient is either not tall or not strong. If someone is either not old or not curious then mary is both not creative and not old. Everyone who is either happy or not old is humble and vice versa. Everyone who is tall is both humble and curiou... | Susan is calm. | neutral | (![X]:(~kind(X)=>(~generous(X)|kind(X))))&
(![X]:((~calm(X)|patient(X))=>(~tall(X)<~>~strong(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>((~creative(mary)&~old(mary))))&
(![X]:((happy(X)<~>~old(X))<=>humble(X)))&
(![X]:(tall(X)<=>(humble(X)&curious(X))))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:((calm(X)&funny(X)))))&
(!... | calm(susan) | [] | null | 0 |
Everyone who is either funny or humble is not calm and vice versa. Everyone who is calm or funny is either not generous or generous. If someone is both creative and happy then fred is not wise. Everyone who is both not funny and tall is both old and not patient. Everyone who is both creative and quiet is both not tall ... | John is not calm. | neutral | (![X]:((funny(X)<~>humble(X))<=>~calm(X)))&
(![X]:((calm(X)|funny(X))=>(~generous(X)<~>generous(X))))&
((?[X]:((creative(X)&happy(X))))=>(~wise(fred)))&
(![X]:((~funny(X)&tall(X))=>(old(X)&~patient(X))))&
(![X]:((creative(X)&quiet(X))=>(~tall(X)&~humble(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((calm(X)&happy(... | ~calm(john) | [] | null | 0 |
Everyone who is creative or tall is not funny and vice versa.
Everyone who is both creative and generous is either curious or not funny and vice versa.
Everyone who is tall is either generous or not strong and vice versa.
Everyone who is either not humble or not curious is not curious and vice versa.
If someone is not ... | Susan is not creative. | entailment | (![X]:((creative(X)|tall(X))<=>~funny(X)))&
(![X]:((creative(X)&generous(X))<=>(curious(X)<~>~funny(X))))&
(![X]:(tall(X)<=>(generous(X)<~>~strong(X))))&
(![X]:((~humble(X)<~>~curious(X))<=>~curious(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:(happy(X)=>(~funny(X)|~generous(X))))&
((~tall(fred))=>... | ~creative(susan) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5384466835190929835329855
% SZS output start Proof for 5384466835190929835329855
1. ! [X0] : ((tall(X0) | creative(X0)) <=> ~funny(X0)) [input p0]
19. funny(susan) & old(susan) [input p18]
23. creative(susan) [input hypothesis]
36. ! [X0] : (((tall(X0) | creative(X0)) | funny(X0)) & (~fun... | 0 |
If someone is both humble and old then susan is either patient or brave and vice versa. Everyone who is both not tall and wise is quiet or not kind and vice versa. Everyone who is calm or not rich is patient or not rich and vice versa. If someone is either not creative or brave then alice is either not quiet or calm an... | Susan is strong. | neutral | ((?[X]:((humble(X)&old(X))))<=>((patient(susan)<~>brave(susan))))&
(![X]:((~tall(X)&wise(X))<=>(quiet(X)|~kind(X))))&
(![X]:((calm(X)|~rich(X))<=>(patient(X)|~rich(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((~quiet(alice)<~>calm(alice))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:(... | strong(susan) | [] | null | 0 |
Everyone who is either patient or not old is either not rich or not happy and vice versa.
Everyone who is either humble or not curious is either calm or not tall.
Everyone who is either not strong or old is either strong or brave and vice versa.
If paul is either not old or not patient then someone is calm.
Everyone wh... | Paul is happy. | contradiction | (![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~happy(X))))&
(![X]:((humble(X)<~>~curious(X))=>(calm(X)<~>~tall(X))))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)<~>brave(X))))&
(((~old(paul)<~>~patient(paul)))=>(?[X]:(calm(X))))&
(![X]:((creative(X)|~brave(X))=>curious(X)))&
(![X]:(humble(X)<=>(~strong(X)&curious(X))))&
(!... | happy(paul) | [
"p0",
"p4",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4324939597416667007986916
% SZS output start Proof for 4324939597416667007986916
1. ! [X0] : ((patient(X0) <~> ~old(X0)) <=> (~rich(X0) <~> ~happy(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | creative(X0)) => curious(X0)) [input p4]
10. ! [X0] : ((~brave(X0) | happy(X0)) <=> (~curious(X0) ... | 0 |
Everyone who is both not brave and not curious is happy. Everyone who is both old and creative is both brave and curious. If alice is both not tall and not kind then susan is both calm and not rich. If susan is both patient and curious then someone is both strong and brave. Everyone who is tall is either not kind or wi... | Alice is rich. | contradiction | (![X]:((~brave(X)&~curious(X))=>happy(X)))&
(![X]:((old(X)&creative(X))=>(brave(X)&curious(X))))&
(((~tall(alice)&~kind(alice)))=>((calm(susan)&~rich(susan))))&
(((patient(susan)&curious(susan)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:(tall(X)<=>(~kind(X)<~>wise(X))))&
((~patient(susan))=>(?[X]:((humble(X)|generous(X))... | rich(alice) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4337515477925942472427986
% SZS output start Proof for 4337515477925942472427986
10. (calm(alice) & ~rich(alice)) <=> ? [X0] : strong(X0) [input p9]
21. ? [X0] : (strong(X0) & ~kind(X0)) [input p20]
25. rich(alice) [input hypothesis]
50. ((calm(alice) & ~rich(alice)) | ! [X0] : ~strong(X0... | 0 |
If someone is not quiet then someone is both not curious and tall and vice versa.
Everyone who is both brave and not kind is not creative and vice versa.
If alice is curious or not creative then someone is kind.
Everyone who is both curious and not humble is quiet and vice versa.
Everyone who is both wise and creative ... | Lucy is not wise. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((brave(X)&~kind(X))<=>~creative(X)))&
(((curious(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&~humble(X))<=>quiet(X)))&
(![X]:((wise(X)&creative(X))=>~quiet(X)))&
(((~quiet(paul)&~humble(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(![X]:(... | ~wise(lucy) | [] | null | 0 |
Everyone who is either happy or not humble is both not quiet and brave and vice versa. If someone is both calm and humble then someone is creative and vice versa. If someone is quiet then fred is calm or not quiet. Everyone who is not creative is either creative or humble. If fred is funny or generous then someone is n... | John is generous. | contradiction | (![X]:((happy(X)<~>~humble(X))<=>(~quiet(X)&brave(X))))&
((?[X]:((calm(X)&humble(X))))<=>(?[X]:(creative(X))))&
((?[X]:(quiet(X)))=>((calm(fred)|~quiet(fred))))&
(![X]:(~creative(X)=>(creative(X)<~>humble(X))))&
(((funny(fred)|generous(fred)))=>(?[X]:(~curious(X))))&
(((~calm(john)&~tall(john)))<=>((strong(susan)<~>hum... | generous(john) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 293171902105344378489202
% SZS output start Proof for 293171902105344378489202
4. ! [X0] : (~creative(X0) => (creative(X0) <~> humble(X0))) [input p3]
10. ! [X0] : (creative(X0) => ~rich(X0)) [input p9]
13. ! [X0] : ((rich(X0) & ~humble(X0)) <=> generous(X0)) [input p12]
22. generous(john... | 0 |
If someone is either calm or not wise then lucy is wise or not happy and vice versa.
Everyone who is patient is either generous or not creative.
Everyone who is calm or not quiet is both brave and not humble.
If fred is either not calm or funny then lucy is not brave.
Everyone who is both not creative and not old is ei... | Lucy is not strong. | neutral | ((?[X]:((calm(X)<~>~wise(X))))<=>((wise(lucy)|~happy(lucy))))&
(![X]:(patient(X)=>(generous(X)<~>~creative(X))))&
(![X]:((calm(X)|~quiet(X))=>(brave(X)&~humble(X))))&
(((~calm(fred)<~>funny(fred)))=>(~brave(lucy)))&
(![X]:((~creative(X)&~old(X))=>(~old(X)<~>quiet(X))))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((tall(X)... | ~strong(lucy) | [] | null | 0 |
If someone is either not calm or not tall then someone is either quiet or old and vice versa. Everyone who is either not kind or strong is not strong and vice versa. Everyone who is both not curious and not patient is either not strong or wise and vice versa. Everyone who is both patient and not strong is both not wise... | Susan is brave. | entailment | ((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:((quiet(X)<~>old(X)))))&
(![X]:((~kind(X)<~>strong(X))<=>~strong(X)))&
(![X]:((~curious(X)&~patient(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((patient(X)&~strong(X))<=>(~wise(X)&~strong(X))))&
(![X]:((~rich(X)|rich(X))<=>~quiet(X)))&
((?[X]:(curious(X)))<=>(?[X]:((~brave(X)<~>~quiet... | brave(susan) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7304358224347839664755090
% SZS output start Proof for 7304358224347839664755090
5. ! [X0] : ((rich(X0) | ~rich(X0)) <=> ~quiet(X0)) [input p4]
14. ! [X0] : ((~quiet(X0) | humble(X0)) => brave(X0)) [input p13]
23. ~brave(susan) [input hypothesis]
32. ! [X0] : (brave(X0) | (quiet(X0) & ~hu... | 0 |
Everyone who is either not calm or quiet is both old and not brave. If someone is both strong and not humble then someone is humble and vice versa. If alice is patient then someone is either not generous or brave. Everyone who is not funny or rich is both not brave and not quiet and vice versa. Everyone who is not brav... | John is not funny. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>(?[X]:(humble(X))))&
((patient(alice))=>(?[X]:((~generous(X)<~>brave(X)))))&
(![X]:((~funny(X)|rich(X))<=>(~brave(X)&~quiet(X))))&
(![X]:((~brave(X)|~generous(X))<=>(~strong(X)|tall(X))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(quiet(X)|~k... | ~funny(john) | [
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2635305922699673063280876
% SZS output start Proof for 2635305922699673063280876
4. ! [X0] : ((rich(X0) | ~funny(X0)) <=> (~quiet(X0) & ~brave(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (~kind(X0) | quiet(X0))) [input p5]
20. kind(john) [input p19]
25. ~funny(john) [inpu... | 0 |
Everyone who is happy or brave is either not generous or rich.
Everyone who is both brave and not humble is both not rich and kind.
Everyone who is either not strong or humble is brave or not kind.
Everyone who is not strong is not creative.
Everyone who is either patient or brave is either patient or not kind and vice... | Alice is funny. | neutral | (![X]:((happy(X)|brave(X))=>(~generous(X)<~>rich(X))))&
(![X]:((brave(X)&~humble(X))=>(~rich(X)&kind(X))))&
(![X]:((~strong(X)<~>humble(X))=>(brave(X)|~kind(X))))&
(![X]:(~strong(X)=>~creative(X)))&
(![X]:((patient(X)<~>brave(X))<=>(patient(X)<~>~kind(X))))&
((generous(mary))=>(?[X]:((tall(X)|strong(X)))))&
(![X]:(~cal... | funny(alice) | [] | null | 0 |
Everyone who is both brave and not old is both not generous and generous and vice versa. Everyone who is not kind is both not humble and curious and vice versa. If susan is not brave or calm then someone is not brave and vice versa. Everyone who is funny or not creative is brave or not brave. If someone is not funny or... | Paul is not strong. | neutral | (![X]:((brave(X)&~old(X))<=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?[X]:((~funny(X)|tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~strong(X))=>(creative(X)|~strong(X... | ~strong(paul) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is calm or generous then paul is quiet and vice versa.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is both humble and happy is ... | Mary is happy. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((calm(X)|generous(X))))<=>(quiet(paul)))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(ric... | happy(mary) | [
"p1",
"p4",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8689502498950536373980055
% SZS output start Proof for 8689502498950536373980055
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
5. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p4]
7. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p6]
8. ! [X0] : ((hu... | 0 |
Everyone who is strong is both not brave and not humble.
Everyone who is not calm is not funny.
Everyone who is not strong is both not brave and not calm and vice versa.
If alice is not rich then someone is either not happy or not quiet.
If someone is not kind then mary is not kind.
If mary is not wise or not generous ... | John is not tall. | contradiction | (![X]:(strong(X)=>(~brave(X)&~humble(X))))&
(![X]:(~calm(X)=>~funny(X)))&
(![X]:(~strong(X)<=>(~brave(X)&~calm(X))))&
((~rich(alice))=>(?[X]:((~happy(X)<~>~quiet(X)))))&
((?[X]:(~kind(X)))=>(~kind(mary)))&
(((~wise(mary)|~generous(mary)))=>(?[X]:((humble(X)<~>~wise(X)))))&
(![X]:((rich(X)<~>~wise(X))=>(tall(X)&~generou... | ~tall(john) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7623675538074302718574291
% SZS output start Proof for 7623675538074302718574291
1. ! [X0] : (strong(X0) => (~humble(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~calm(X0) => ~funny(X0)) [input p1]
3. ! [X0] : (~strong(X0) <=> (~calm(X0) & ~brave(X0))) [input p2]
11. ! [X0] : ((~humble(X0) ... | 0 |
If someone is both not funny and calm then susan is either tall or not creative and vice versa.
Everyone who is either rich or quiet is either not old or not happy.
Everyone who is happy is tall and vice versa.
If susan is both not humble and curious then someone is not brave or quiet and vice versa.
Everyone who is ol... | Mary is not strong. | neutral | ((?[X]:((~funny(X)&calm(X))))<=>((tall(susan)<~>~creative(susan))))&
(![X]:((rich(X)<~>quiet(X))=>(~old(X)<~>~happy(X))))&
(![X]:(happy(X)<=>tall(X)))&
(((~humble(susan)&curious(susan)))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:(old(X)=>~calm(X)))&
(![X]:(~calm(X)=>(~funny(X)<~>~creative(X))))&
(((kind(paul)|~generous(p... | ~strong(mary) | [] | null | 0 |
Everyone who is not curious or tall is rich or old and vice versa. If someone is either patient or not wise then lucy is either patient or funny. If lucy is either not generous or not patient then lucy is both tall and not brave and vice versa. If someone is not humble then john is creative and vice versa. If mary is e... | Susan is not funny. | entailment | (![X]:((~curious(X)|tall(X))<=>(rich(X)|old(X))))&
((?[X]:((patient(X)<~>~wise(X))))=>((patient(lucy)<~>funny(lucy))))&
(((~generous(lucy)<~>~patient(lucy)))<=>((tall(lucy)&~brave(lucy))))&
((?[X]:(~humble(X)))<=>(creative(john)))&
(((~brave(mary)<~>~wise(mary)))<=>((funny(john)|~kind(john))))&
((?[X]:(kind(X)))<=>(?[X... | ~funny(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3365920285517051462400305
% SZS output start Proof for 3365920285517051462400305
10. (~funny(lucy) & funny(lucy)) <=> ? [X0] : (~patient(X0) | funny(X0)) [input p9]
24. funny(susan) [input hypothesis]
62. ((~funny(lucy) & funny(lucy)) | ! [X0] : (patient(X0) & ~funny(X0))) & (? [X0] : (~p... | 0 |
If mary is not generous or strong then someone is either not creative or not brave and vice versa.
Everyone who is either generous or not curious is either not generous or strong.
Everyone who is either not wise or strong is not tall and vice versa.
If fred is either not humble or not rich then fred is not old or tall ... | Susan is not generous. | entailment | (((~generous(mary)|strong(mary)))<=>(?[X]:((~creative(X)<~>~brave(X)))))&
(![X]:((generous(X)<~>~curious(X))=>(~generous(X)<~>strong(X))))&
(![X]:((~wise(X)<~>strong(X))<=>~tall(X)))&
(((~humble(fred)<~>~rich(fred)))<=>((~old(fred)|tall(fred))))&
(((~creative(john)&~curious(john)))=>(?[X]:((~calm(X)|patient(X)))))&
(![... | ~generous(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8766244803171598113462954
% SZS output start Proof for 8766244803171598113462954
12. (~generous(susan) & ~old(susan)) <=> (~patient(paul) | patient(paul)) [input p11]
23. generous(susan) [input hypothesis]
58. ((~generous(susan) & ~old(susan)) | (patient(paul) & ~patient(paul))) & ((~pati... | 0 |
Everyone who is either not quiet or calm is both patient and kind.
Everyone who is not wise or not kind is either not brave or old.
If someone is brave then someone is not rich or not kind and vice versa.
Everyone who is both not patient and not quiet is not humble.
If someone is both brave and calm then someone is not... | Paul is not old. | entailment | (![X]:((~quiet(X)<~>calm(X))=>(patient(X)&kind(X))))&
(![X]:((~wise(X)|~kind(X))=>(~brave(X)<~>old(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~rich(X)|~kind(X)))))&
(![X]:((~patient(X)&~quiet(X))=>~humble(X)))&
((?[X]:((brave(X)&calm(X))))=>(?[X]:((~quiet(X)|old(X)))))&
(((~generous(paul)&funny(paul)))=>((~calm(mary)<~>curiou... | ~old(paul) | [
"p1",
"p2",
"p6",
"p8",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2462363932696930805538186
% SZS output start Proof for 2462363932696930805538186
2. ! [X0] : ((~kind(X0) | ~wise(X0)) => (~brave(X0) <~> old(X0))) [input p1]
3. ? [X0] : brave(X0) <=> ? [X0] : (~kind(X0) | ~rich(X0)) [input p2]
7. ! [X0] : ((~wise(X0) | kind(X0)) => (rich(X0) & strong(X0)... | 0 |
If someone is generous then mary is not rich and vice versa.
Everyone who is either quiet or creative is wise or kind.
Everyone who is either not kind or not old is either not generous or not curious and vice versa.
Everyone who is not funny or generous is humble.
If someone is not wise then susan is creative or not pa... | Susan is curious. | neutral | ((?[X]:(generous(X)))<=>(~rich(mary)))&
(![X]:((quiet(X)<~>creative(X))=>(wise(X)|kind(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~generous(X)<~>~curious(X))))&
(![X]:((~funny(X)|generous(X))=>humble(X)))&
((?[X]:(~wise(X)))<=>((creative(susan)|~patient(susan))))&
(![X]:((~wise(X)|generous(X))<=>(~tall(X)<~>funny(X))))&
(((... | curious(susan) | [] | null | 0 |
If someone is either creative or not generous then mary is quiet or not quiet. Everyone who is not creative or old is either not brave or humble and vice versa. If mary is old then someone is calm or rich and vice versa. If paul is both not funny and generous then someone is either not curious or not brave and vice ver... | Alice is generous. | entailment | ((?[X]:((creative(X)<~>~generous(X))))=>((quiet(mary)|~quiet(mary))))&
(![X]:((~creative(X)|old(X))<=>(~brave(X)<~>humble(X))))&
((old(mary))<=>(?[X]:((calm(X)|rich(X)))))&
(((~funny(paul)&generous(paul)))<=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:(~happy(X)))<=>((brave(fred)|~generous(fred))))&
(![X]:((old(X)&crea... | generous(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5466599381790300349585909
% SZS output start Proof for 5466599381790300349585909
16. ! [X0] : ((generous(X0) & ~creative(X0)) <=> (~generous(X0) | ~quiet(X0))) [input p15]
24. ~generous(alice) [input hypothesis]
73. ! [X0] : (((generous(X0) & ~creative(X0)) | (generous(X0) & quiet(X0))) &... | 0 |
If someone is not old or not tall then someone is both kind and not calm and vice versa. Everyone who is either not brave or strong is creative and vice versa. Everyone who is humble or not funny is both creative and not rich. If someone is either funny or not old then john is either not brave or tall and vice versa. E... | Lucy is quiet. | contradiction | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>creative(X)))&
(![X]:((humble(X)|~funny(X))=>(creative(X)&~rich(X))))&
((?[X]:((funny(X)<~>~old(X))))<=>((~brave(john)<~>tall(john))))&
(![X]:((funny(X)<~>happy(X))<=>(curious(X)|~old(X))))&
((?[X]:((happy(X)<~>~brave(X))))<=>... | quiet(lucy) | [
"p4",
"p7",
"p10",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6728911987886373748615527
% SZS output start Proof for 6728911987886373748615527
5. ! [X0] : ((funny(X0) <~> happy(X0)) <=> (~old(X0) | curious(X0))) [input p4]
8. ! [X0] : ((brave(X0) | ~funny(X0)) => ~quiet(X0)) [input p7]
11. ! [X0] : ((brave(X0) <~> ~curious(X0)) => (rich(X0) & old(X0... | 0 |
Everyone who is not rich is brave or kind and vice versa.
Everyone who is humble or not curious is either not brave or not funny and vice versa.
Everyone who is both generous and strong is kind or patient and vice versa.
If fred is both brave and happy then someone is strong and vice versa.
If someone is old or funny t... | Fred is old. | neutral | (![X]:(~rich(X)<=>(brave(X)|kind(X))))&
(![X]:((humble(X)|~curious(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((generous(X)&strong(X))<=>(kind(X)|patient(X))))&
(((brave(fred)&happy(fred)))<=>(?[X]:(strong(X))))&
((?[X]:((old(X)|funny(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
((?[X]:((wise(X)&curious(X))))=>((~strong(paul)... | old(fred) | [] | null | 0 |
Everyone who is both not tall and rich is brave or not generous and vice versa.
If someone is both not creative and not quiet then someone is both happy and calm.
If lucy is both wise and calm then john is either not quiet or not kind and vice versa.
If someone is not strong then mary is either kind or quiet.
If susan ... | Mary is not kind. | neutral | (![X]:((~tall(X)&rich(X))<=>(brave(X)|~generous(X))))&
((?[X]:((~creative(X)&~quiet(X))))=>(?[X]:((happy(X)&calm(X)))))&
(((wise(lucy)&calm(lucy)))<=>((~quiet(john)<~>~kind(john))))&
((?[X]:(~strong(X)))=>((kind(mary)<~>quiet(mary))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
(((old(pa... | ~kind(mary) | [] | null | 0 |
Everyone who is not patient or not calm is creative and vice versa.
Everyone who is either not happy or calm is not strong or wise.
Everyone who is both not funny and not strong is both not tall and patient.
If someone is both not kind and quiet then someone is either brave or generous.
Everyone who is not strong or no... | Paul is kind. | contradiction | (![X]:((~patient(X)|~calm(X))<=>creative(X)))&
(![X]:((~happy(X)<~>calm(X))=>(~strong(X)|wise(X))))&
(![X]:((~funny(X)&~strong(X))=>(~tall(X)&patient(X))))&
((?[X]:((~kind(X)&quiet(X))))=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:((~strong(X)|~patient(X))<=>funny(X)))&
((?[X]:((creative(X)|~rich(X))))=>(?[X]:((generous... | kind(paul) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 812586895109805560502259
% SZS output start Proof for 812586895109805560502259
15. ! [X0] : ((~kind(X0) & brave(X0)) <=> (kind(X0) & creative(X0))) [input p14]
20. creative(paul) & quiet(paul) [input p19]
25. kind(paul) [input hypothesis]
74. ! [X0] : (((~kind(X0) & brave(X0)) | (~kind(X0... | 0 |
If someone is wise or strong then paul is either curious or not tall and vice versa.
If someone is patient then someone is both tall and funny and vice versa.
Everyone who is curious is both not patient and not funny and vice versa.
Everyone who is either tall or calm is not calm or not brave and vice versa.
If lucy is... | Mary is wise. | entailment | ((?[X]:((wise(X)|strong(X))))<=>((curious(paul)<~>~tall(paul))))&
((?[X]:(patient(X)))<=>(?[X]:((tall(X)&funny(X)))))&
(![X]:(curious(X)<=>(~patient(X)&~funny(X))))&
(![X]:((tall(X)<~>calm(X))<=>(~calm(X)|~brave(X))))&
(((~generous(lucy)|~happy(lucy)))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:((humble(X)&brave(X))<=>(g... | wise(mary) | [
"p3",
"p6",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8729853100551211683373353
% SZS output start Proof for 8729853100551211683373353
4. ! [X0] : ((tall(X0) <~> calm(X0)) <=> (~brave(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((curious(X0) | ~generous(X0)) <=> funny(X0)) [input p6]
9. ! [X0] : (~wise(X0) => (strong(X0) & creative(X0))) [input... | 0 |
If alice is curious or generous then someone is both patient and quiet. Everyone who is wise or rich is patient and vice versa. If mary is either funny or not patient then lucy is either not tall or kind. Everyone who is not rich is funny. Everyone who is either humble or brave is not happy. If john is either not curio... | Susan is rich. | entailment | (((curious(alice)|generous(alice)))=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:((wise(X)|rich(X))<=>patient(X)))&
(((funny(mary)<~>~patient(mary)))=>((~tall(lucy)<~>kind(lucy))))&
(![X]:(~rich(X)=>funny(X)))&
(![X]:((humble(X)<~>brave(X))=>~happy(X)))&
(((~curious(john)<~>creative(john)))<=>((calm(susan)&tall(susan))))&
(... | rich(susan) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1528265847160948991426151
% SZS output start Proof for 1528265847160948991426151
4. ! [X0] : (~rich(X0) => funny(X0)) [input p3]
12. ! [X0] : ((~humble(X0) | funny(X0)) => (kind(X0) & ~kind(X0))) [input p11]
21. ~rich(susan) [input hypothesis]
29. ! [X0] : (funny(X0) | rich(X0)) [ennf tra... | 0 |
Everyone who is either patient or kind is either not calm or brave. If mary is either strong or kind then paul is kind or strong and vice versa. If john is not quiet or not generous then someone is both funny and not curious and vice versa. If someone is generous or not humble then someone is creative or not funny. If ... | Mary is not old. | neutral | (![X]:((patient(X)<~>kind(X))=>(~calm(X)<~>brave(X))))&
(((strong(mary)<~>kind(mary)))<=>((kind(paul)|strong(paul))))&
(((~quiet(john)|~generous(john)))<=>(?[X]:((funny(X)&~curious(X)))))&
((?[X]:((generous(X)|~humble(X))))=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((~strong(mary)|brave(mary... | ~old(mary) | [] | null | 0 |
Everyone who is not generous or generous is not creative or tall and vice versa.
Everyone who is not generous or not brave is either not quiet or not happy.
Everyone who is kind or creative is creative and vice versa.
Everyone who is both not calm and not funny is not humble and vice versa.
Everyone who is brave is bot... | John is not humble. | neutral | (![X]:((~generous(X)|generous(X))<=>(~creative(X)|tall(X))))&
(![X]:((~generous(X)|~brave(X))=>(~quiet(X)<~>~happy(X))))&
(![X]:((kind(X)|creative(X))<=>creative(X)))&
(![X]:((~calm(X)&~funny(X))<=>~humble(X)))&
(![X]:(brave(X)<=>(wise(X)&rich(X))))&
(![X]:(~generous(X)<=>(~generous(X)<~>happy(X))))&
((?[X]:((~funny(X)... | ~humble(john) | [] | null | 0 |
Everyone who is either brave or curious is rich.
Everyone who is either not quiet or not patient is not calm or not quiet and vice versa.
Everyone who is either not curious or not old is either generous or not happy and vice versa.
Everyone who is either curious or brave is creative or brave and vice versa.
Everyone wh... | Susan is kind. | contradiction | (![X]:((brave(X)<~>curious(X))=>rich(X)))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~calm(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~old(X))<=>(generous(X)<~>~happy(X))))&
(![X]:((curious(X)<~>brave(X))<=>(creative(X)|brave(X))))&
(![X]:((~kind(X)|old(X))=>(~brave(X)|~kind(X))))&
(![X]:((humble(X)&strong(X))<=>(creative(X)|~wi... | kind(susan) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p9",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1156701252645839077577320
% SZS output start Proof for 1156701252645839077577320
3. ! [X0] : ((~curious(X0) <~> ~old(X0)) <=> (generous(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((curious(X0) <~> brave(X0)) <=> (brave(X0) | creative(X0))) [input p3]
6. ! [X0] : ((strong(X0) & humble(X0)... | 0 |
If someone is both not patient and humble then alice is both not calm and not funny. Everyone who is humble or not happy is either happy or not wise and vice versa. Everyone who is either tall or not old is not wise and vice versa. Everyone who is both patient and not rich is both not old and old. Everyone who is both ... | Mary is humble. | neutral | ((?[X]:((~patient(X)&humble(X))))=>((~calm(alice)&~funny(alice))))&
(![X]:((humble(X)|~happy(X))<=>(happy(X)<~>~wise(X))))&
(![X]:((tall(X)<~>~old(X))<=>~wise(X)))&
(![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&... | humble(mary) | [] | null | 0 |
Everyone who is not wise or not rich is both not brave and not kind and vice versa. Everyone who is not strong is calm or funny and vice versa. Everyone who is quiet or strong is both not humble and not old and vice versa. Everyone who is both not patient and not kind is both strong and not tall and vice versa. Everyon... | Alice is not quiet. | contradiction | (![X]:((~wise(X)|~rich(X))<=>(~brave(X)&~kind(X))))&
(![X]:(~strong(X)<=>(calm(X)|funny(X))))&
(![X]:((quiet(X)|strong(X))<=>(~humble(X)&~old(X))))&
(![X]:((~patient(X)&~kind(X))<=>(strong(X)&~tall(X))))&
(![X]:((generous(X)<~>~old(X))=>(~strong(X)|rich(X))))&
((?[X]:((humble(X)<~>patient(X))))=>((~curious(john)|~tall(... | ~quiet(alice) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 480131503126311665980426
% SZS output start Proof for 480131503126311665980426
1. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (~kind(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~strong(X0) <=> (funny(X0) | calm(X0))) [input p1]
3. ! [X0] : ((strong(X0) | quiet(X0)) <=> (~old(X0) & ~humble(X0))) ... | 0 |
Everyone who is tall is both kind and strong.
Everyone who is both not brave and kind is either not humble or brave and vice versa.
Everyone who is both happy and patient is not brave.
Everyone who is brave or rich is not creative and vice versa.
If alice is either not generous or not brave then someone is both wise an... | Paul is creative. | neutral | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~brave(X)&kind(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~curious(lucy)|quiet(lucy))))&
(... | creative(paul) | [] | null | 0 |
Everyone who is either not tall or generous is generous or wise.
Everyone who is patient or funny is either rich or brave and vice versa.
Everyone who is either curious or not patient is both brave and quiet and vice versa.
Everyone who is not calm or not tall is both not patient and not kind and vice versa.
Everyone w... | Mary is not quiet. | entailment | (![X]:((~tall(X)<~>generous(X))=>(generous(X)|wise(X))))&
(![X]:((patient(X)|funny(X))<=>(rich(X)<~>brave(X))))&
(![X]:((curious(X)<~>~patient(X))<=>(brave(X)&quiet(X))))&
(![X]:((~calm(X)|~tall(X))<=>(~patient(X)&~kind(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~creative(X)<~>creative(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~c... | ~quiet(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 86620842350366162283199
% SZS output start Proof for 86620842350366162283199
5. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~creative(X0) <~> creative(X0))) [input p4]
25. quiet(mary) [input hypothesis]
48. ! [X0] : (((~quiet(X0) & ~old(X0)) | ((~creative(X0) | ~creative(X0)) & (creative(X0) |... | 0 |
Everyone who is both happy and curious is not strong or humble and vice versa. Everyone who is both generous and happy is kind or not calm. Everyone who is either not kind or kind is calm. Everyone who is either not patient or wise is either funny or not tall. If paul is curious then someone is not rich. Everyone who i... | Mary is tall. | entailment | (![X]:((happy(X)&curious(X))<=>(~strong(X)|humble(X))))&
(![X]:((generous(X)&happy(X))=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)<~>kind(X))=>calm(X)))&
(![X]:((~patient(X)<~>wise(X))=>(funny(X)<~>~tall(X))))&
((curious(paul))=>(?[X]:(~rich(X))))&
(![X]:(~tall(X)=>calm(X)))&
(![X]:(creative(X)<=>~rich(X)))&
((?[X]:((brave... | tall(mary) | [
"p0",
"p2",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5309234307334989018741688
% SZS output start Proof for 5309234307334989018741688
1. ! [X0] : ((curious(X0) & happy(X0)) <=> (humble(X0) | ~strong(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> kind(X0)) => calm(X0)) [input p2]
9. ? [X0] : (~curious(X0) <~> rich(X0)) => ? [X0] : ~calm(X0) [i... | 0 |
If someone is not wise or old then someone is strong or old and vice versa.
Everyone who is both not tall and not brave is both humble and happy and vice versa.
If someone is either creative or not rich then someone is not curious and vice versa.
If someone is not humble or not patient then someone is both not rich and... | John is not funny. | contradiction | ((?[X]:((~wise(X)|old(X))))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:((~tall(X)&~brave(X))<=>(humble(X)&happy(X))))&
((?[X]:((creative(X)<~>~rich(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((~rich(X)&~patient(X)))))&
((?[X]:(~patient(X)))<=>(?[X]:(creative(X))))&
((?[X]:((~calm(X)|patient(X))... | ~funny(john) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1163624279855935646664883
% SZS output start Proof for 1163624279855935646664883
11. ! [X0] : ((curious(X0) | ~curious(X0)) => (~funny(X0) <~> brave(X0))) [input p10]
12. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | ~strong(X0))) [input p11]
14. ! [X0] : (strong(X0) <=> (funny(X0) & ... | 0 |
If mary is not happy or not rich then someone is both not strong and happy and vice versa.
Everyone who is both not kind and not old is funny or not strong.
Everyone who is not calm is either not rich or wise and vice versa.
If mary is brave then someone is both happy and kind and vice versa.
Everyone who is either pat... | Mary is rich. | entailment | (((~happy(mary)|~rich(mary)))<=>(?[X]:((~strong(X)&happy(X)))))&
(![X]:((~kind(X)&~old(X))=>(funny(X)|~strong(X))))&
(![X]:(~calm(X)<=>(~rich(X)<~>wise(X))))&
((brave(mary))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
(![X]:((wise(X)<~>~funny(X))<=>(humble(X)|patient(X))))&
((?[X]:((ge... | rich(mary) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3737211619382162130312684
% SZS output start Proof for 3737211619382162130312684
4. brave(mary) <=> ? [X0] : (kind(X0) & happy(X0)) [input p3]
5. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p4]
6. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (patient(X0) | humble(X0))) [input ... | 0 |
Everyone who is tall or strong is either not patient or not brave and vice versa. Everyone who is both humble and happy is either quiet or wise. If paul is either not strong or not old then fred is calm or creative. If fred is tall then someone is curious and vice versa. Everyone who is not strong is funny. If john is ... | Paul is not rich. | neutral | (![X]:((tall(X)|strong(X))<=>(~patient(X)<~>~brave(X))))&
(![X]:((humble(X)&happy(X))=>(quiet(X)<~>wise(X))))&
(((~strong(paul)<~>~old(paul)))=>((calm(fred)|creative(fred))))&
((tall(fred))<=>(?[X]:(curious(X))))&
(![X]:(~strong(X)=>funny(X)))&
(((~brave(john)<~>humble(john)))=>((~generous(paul)|~funny(paul))))&
((funn... | ~rich(paul) | [] | null | 0 |
If mary is tall or brave then mary is happy or not strong.
Everyone who is not rich is not patient or funny and vice versa.
If john is calm then alice is both not tall and tall.
Everyone who is both not old and not generous is both old and not creative and vice versa.
Everyone who is brave is wise and vice versa.
Every... | Mary is creative. | neutral | (((tall(mary)|brave(mary)))=>((happy(mary)|~strong(mary))))&
(![X]:(~rich(X)<=>(~patient(X)|funny(X))))&
((calm(john))=>((~tall(alice)&tall(alice))))&
(![X]:((~old(X)&~generous(X))<=>(old(X)&~creative(X))))&
(![X]:(brave(X)<=>wise(X)))&
(![X]:((~calm(X)&~funny(X))=>(curious(X)|calm(X))))&
((~happy(paul))=>((~strong(sus... | creative(mary) | [] | null | 0 |
Everyone who is both not kind and not curious is not rich or not patient and vice versa.
Everyone who is either funny or tall is not calm or humble.
If someone is not rich then someone is wise or not rich.
If someone is happy or strong then mary is not tall or not generous.
Everyone who is either wise or not calm is no... | Lucy is brave. | contradiction | (![X]:((~kind(X)&~curious(X))<=>(~rich(X)|~patient(X))))&
(![X]:((funny(X)<~>tall(X))=>(~calm(X)|humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((wise(X)|~rich(X)))))&
((?[X]:((happy(X)|strong(X))))=>((~tall(mary)|~generous(mary))))&
(![X]:((wise(X)<~>~calm(X))=>~rich(X)))&
(![X]:((patient(X)&~patient(X))<=>(brave(X)|funny(X)... | brave(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4544227319510650677251296
% SZS output start Proof for 4544227319510650677251296
6. ! [X0] : ((~patient(X0) & patient(X0)) <=> (funny(X0) | brave(X0))) [input p5]
21. brave(lucy) [input hypothesis]
43. ! [X0] : (((~patient(X0) & patient(X0)) | (~funny(X0) & ~brave(X0))) & ((funny(X0) | br... | 0 |
If someone is not kind then john is either kind or brave and vice versa. If paul is both generous and not quiet then someone is both not happy and wise and vice versa. If susan is either kind or tall then lucy is either rich or generous. Everyone who is quiet is both not generous and calm. If someone is either not old ... | Lucy is not happy. | neutral | ((?[X]:(~kind(X)))<=>((kind(john)<~>brave(john))))&
(((generous(paul)&~quiet(paul)))<=>(?[X]:((~happy(X)&wise(X)))))&
(((kind(susan)<~>tall(susan)))=>((rich(lucy)<~>generous(lucy))))&
(![X]:(quiet(X)=>(~generous(X)&calm(X))))&
((?[X]:((~old(X)<~>happy(X))))<=>((~calm(mary)&generous(mary))))&
(![X]:((quiet(X)<~>~funny(X... | ~happy(lucy) | [] | null | 0 |
If paul is either not old or not generous then paul is both not kind and kind.
If someone is creative then susan is old and vice versa.
Everyone who is both not happy and kind is either not tall or quiet and vice versa.
Everyone who is not curious or generous is happy.
Everyone who is not happy or generous is quiet and... | Fred is kind. | contradiction | (((~old(paul)<~>~generous(paul)))=>((~kind(paul)&kind(paul))))&
((?[X]:(creative(X)))<=>(old(susan)))&
(![X]:((~happy(X)&kind(X))<=>(~tall(X)<~>quiet(X))))&
(![X]:((~curious(X)|generous(X))=>happy(X)))&
(![X]:((~happy(X)|generous(X))<=>quiet(X)))&
((?[X]:((quiet(X)<~>funny(X))))<=>(?[X]:((humble(X)|~funny(X)))))&
(![X]... | kind(fred) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6519254217642627813169520
% SZS output start Proof for 6519254217642627813169520
13. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> ~quiet(X0)) [input p12]
17. ~kind(fred) | ~quiet(fred) [input p16]
25. kind(fred) [input hypothesis]
68. ! [X0] : (((~generous(X0) & ~kind(X0)) | quiet(X0)) & (~q... | 0 |
Everyone who is old is not rich. Everyone who is not funny is either rich or old. Everyone who is either funny or wise is patient or strong. If someone is not kind or tall then susan is not funny or wise and vice versa. Everyone who is curious is humble or not generous and vice versa. Everyone who is both not brave and... | Mary is not strong. | neutral | (![X]:(old(X)=>~rich(X)))&
(![X]:(~funny(X)=>(rich(X)<~>old(X))))&
(![X]:((funny(X)<~>wise(X))=>(patient(X)|strong(X))))&
((?[X]:((~kind(X)|tall(X))))<=>((~funny(susan)|wise(susan))))&
(![X]:(curious(X)<=>(humble(X)|~generous(X))))&
(![X]:((~brave(X)&~strong(X))<=>(~old(X)|~brave(X))))&
(![X]:(~humble(X)=>(kind(X)&~hap... | ~strong(mary) | [] | null | 0 |
Everyone who is either creative or happy is not rich or not creative and vice versa.
If someone is either not creative or not curious then someone is not happy or not patient and vice versa.
If someone is both not rich and patient then fred is brave or tall.
Everyone who is both quiet and not funny is either not brave ... | Susan is rich. | contradiction | (![X]:((creative(X)<~>happy(X))<=>(~rich(X)|~creative(X))))&
((?[X]:((~creative(X)<~>~curious(X))))<=>(?[X]:((~happy(X)|~patient(X)))))&
((?[X]:((~rich(X)&patient(X))))=>((brave(fred)|tall(fred))))&
(![X]:((quiet(X)&~funny(X))<=>(~brave(X)<~>~kind(X))))&
(((~strong(john)|humble(john)))=>((~wise(mary)|happy(mary))))&
((... | rich(susan) | [
"p3",
"p8",
"p11",
"p12",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2814972297611220803465876
% SZS output start Proof for 2814972297611220803465876
4. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (~brave(X0) <~> ~kind(X0))) [input p3]
9. ! [X0] : ((~funny(X0) <~> kind(X0)) <=> (quiet(X0) <~> ~wise(X0))) [input p8]
12. ! [X0] : ((brave(X0) <~> kind(X0)) <=> ~cr... | 0 |
If someone is not tall then someone is strong or patient and vice versa. Everyone who is generous or strong is not curious or kind. If someone is both happy and calm then mary is not brave or not generous. If fred is either quiet or not quiet then someone is rich and vice versa. Everyone who is either not happy or humb... | Susan is humble. | contradiction | ((?[X]:(~tall(X)))<=>(?[X]:((strong(X)|patient(X)))))&
(![X]:((generous(X)|strong(X))=>(~curious(X)|kind(X))))&
((?[X]:((happy(X)&calm(X))))=>((~brave(mary)|~generous(mary))))&
(((quiet(fred)<~>~quiet(fred)))<=>(?[X]:(rich(X))))&
(![X]:((~happy(X)<~>humble(X))<=>~calm(X)))&
(![X]:((~quiet(X)&~tall(X))<=>~patient(X)))&
... | humble(susan) | [
"p5",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5971904710605864256517422
% SZS output start Proof for 5971904710605864256517422
6. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> ~patient(X0)) [input p5]
10. ? [X0] : ~patient(X0) <=> ? [X0] : strong(X0) [input p9]
11. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) | strong(X0))) [input p... | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Lucy is funny. | entailment | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | funny(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8617409835792892149440129
% SZS output start Proof for 8617409835792892149440129
2. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (tall(X0) | ~curious(X0)) => (~curious(fred) | ~old(fred)) [input p3]
6. ? [X0] : (~happy(X0) | creative(X0)) <=>... | 0 |
Everyone who is both not kind and not funny is not quiet and vice versa. Everyone who is not creative is both not happy and not calm. Everyone who is tall or not calm is both not brave and humble. Everyone who is both old and not patient is both not quiet and not funny and vice versa. If someone is not strong then some... | Mary is not patient. | contradiction | (![X]:((~kind(X)&~funny(X))<=>~quiet(X)))&
(![X]:(~creative(X)=>(~happy(X)&~calm(X))))&
(![X]:((tall(X)|~calm(X))=>(~brave(X)&humble(X))))&
(![X]:((old(X)&~patient(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:(~strong(X)))=>(?[X]:((~humble(X)<~>~curious(X)))))&
((?[X]:((curious(X)<~>tall(X))))<=>((calm(lucy)|happy(lucy))))&
(... | ~patient(mary) | [
"p0",
"p3",
"p8",
"p9",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7115062217152505503410049
% SZS output start Proof for 7115062217152505503410049
1. ! [X0] : ((~funny(X0) & ~kind(X0)) <=> ~quiet(X0)) [input p0]
4. ! [X0] : ((~patient(X0) & old(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p3]
9. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> ~old(X0)) [input p8]... | 0 |
Everyone who is tall is not kind and vice versa.
Everyone who is either creative or not kind is both not generous and tall.
Everyone who is both strong and kind is old.
If someone is calm then mary is either tall or rich.
Everyone who is either not rich or not strong is not curious or not calm and vice versa.
Everyone ... | Lucy is not curious. | neutral | (![X]:(tall(X)<=>~kind(X)))&
(![X]:((creative(X)<~>~kind(X))=>(~generous(X)&tall(X))))&
(![X]:((strong(X)&kind(X))=>old(X)))&
((?[X]:(calm(X)))=>((tall(mary)<~>rich(mary))))&
(![X]:((~rich(X)<~>~strong(X))<=>(~curious(X)|~calm(X))))&
(![X]:((~patient(X)&humble(X))=>(~happy(X)<~>brave(X))))&
(![X]:((brave(X)<~>creative(... | ~curious(lucy) | [] | null | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | John is patient. | entailment | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | patient(john) | [
"p0",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3291737493461349722858881
% SZS output start Proof for 3291737493461349722858881
1. ! [X0] : ((~generous(X0) | happy(X0)) <=> old(X0)) [input p0]
7. ? [X0] : (~patient(X0) | creative(X0)) => ? [X0] : (brave(X0) <~> ~old(X0)) [input p6]
11. ! [X0] : ((old(X0) | ~old(X0)) => (~funny(X0) & ~... | 0 |
Everyone who is not creative is both calm and quiet. If susan is both rich and humble then someone is tall and vice versa. Everyone who is quiet is both not calm and not tall and vice versa. Everyone who is not humble or not curious is brave or not curious and vice versa. Everyone who is both not humble and patient is ... | Alice is not generous. | neutral | (![X]:(~creative(X)=>(calm(X)&quiet(X))))&
(((rich(susan)&humble(susan)))<=>(?[X]:(tall(X))))&
(![X]:(quiet(X)<=>(~calm(X)&~tall(X))))&
(![X]:((~humble(X)|~curious(X))<=>(brave(X)|~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(old(X)|tall(X))))&
(![X]:((quiet(X)&happy(X))<=>(rich(X)|~rich(X))))&
(![X]:((~funny(X)&wi... | ~generous(alice) | [] | null | 0 |
Everyone who is strong or humble is not creative or not funny and vice versa. If alice is either happy or not kind then someone is brave. Everyone who is both not brave and not kind is both not strong and not patient and vice versa. Everyone who is either not curious or strong is either not patient or not calm and vice... | Lucy is quiet. | neutral | (![X]:((strong(X)|humble(X))<=>(~creative(X)|~funny(X))))&
(((happy(alice)<~>~kind(alice)))=>(?[X]:(brave(X))))&
(![X]:((~brave(X)&~kind(X))<=>(~strong(X)&~patient(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(~patient(X)<~>~calm(X))))&
((~generous(fred))=>(?[X]:((~patient(X)&~humble(X)))))&
(![X]:((generous(X)&rich(X))=>... | quiet(lucy) | [] | null | 0 |
If someone is humble then fred is either not creative or not kind and vice versa. If alice is not curious or not patient then someone is either generous or brave. If someone is either not creative or funny then mary is both not curious and not calm and vice versa. Everyone who is brave or not humble is both not brave a... | Susan is humble. | entailment | ((?[X]:(humble(X)))<=>((~creative(fred)<~>~kind(fred))))&
(((~curious(alice)|~patient(alice)))=>(?[X]:((generous(X)<~>brave(X)))))&
((?[X]:((~creative(X)<~>funny(X))))<=>((~curious(mary)&~calm(mary))))&
(![X]:((brave(X)|~humble(X))=>(~brave(X)&curious(X))))&
((?[X]:((brave(X)<~>quiet(X))))=>(?[X]:((patient(X)<~>~creati... | humble(susan) | [
"p3",
"p7",
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6985912797134729535534018
% SZS output start Proof for 6985912797134729535534018
4. ! [X0] : ((~humble(X0) | brave(X0)) => (curious(X0) & ~brave(X0))) [input p3]
8. ! [X0] : ((humble(X0) | calm(X0)) <=> ~patient(X0)) [input p7]
10. ! [X0] : ((curious(X0) <~> humble(X0)) => (funny(X0) | ~c... | 0 |
If someone is both not wise and not funny then paul is not creative or generous. If someone is quiet or not quiet then someone is not patient or strong and vice versa. Everyone who is creative or not generous is either not quiet or old and vice versa. If someone is both not strong and funny then someone is not strong o... | John is happy. | contradiction | ((?[X]:((~wise(X)&~funny(X))))=>((~creative(paul)|generous(paul))))&
((?[X]:((quiet(X)|~quiet(X))))<=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((creative(X)|~generous(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:((~strong(X)&funny(X))))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((generous(X)&happy(X))=>(~kind(X)&old(X))))&
(((~f... | happy(john) | [
"p4",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1603506536181261540342305
% SZS output start Proof for 1603506536181261540342305
5. ! [X0] : ((happy(X0) & generous(X0)) => (old(X0) & ~kind(X0))) [input p4]
10. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (~rich(X0) | ~humble(X0))) [input p9]
11. ! [X0] : ((wise(X0) | ~generous(X0)) => (qu... | 0 |
Everyone who is either not funny or strong is not old.
Everyone who is either rich or not calm is not funny or not generous.
If someone is both funny and generous then someone is both not kind and quiet.
If fred is both funny and not strong then someone is either brave or not generous and vice versa.
Everyone who is no... | Fred is tall. | contradiction | (![X]:((~funny(X)<~>strong(X))=>~old(X)))&
(![X]:((rich(X)<~>~calm(X))=>(~funny(X)|~generous(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
(((funny(fred)&~strong(fred)))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~tall(X)|~calm(X))=>(~happy(X)<~>happy(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~f... | tall(fred) | [
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8638245636331695501171638
% SZS output start Proof for 8638245636331695501171638
4. (~strong(fred) & funny(fred)) <=> ? [X0] : (brave(X0) <~> ~generous(X0)) [input p3]
6. ! [X0] : (tall(X0) <=> (~rich(X0) <~> ~funny(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0))... | 0 |
Everyone who is generous or not old is both humble and not patient.
Everyone who is not strong or patient is either not rich or kind.
Everyone who is not patient is not patient or quiet.
If john is both strong and quiet then someone is either happy or not humble.
Everyone who is not quiet or patient is either generous ... | Fred is not rich. | entailment | (![X]:((generous(X)|~old(X))=>(humble(X)&~patient(X))))&
(![X]:((~strong(X)|patient(X))=>(~rich(X)<~>kind(X))))&
(![X]:(~patient(X)=>(~patient(X)|quiet(X))))&
(((strong(john)&quiet(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((~quiet(X)|patient(X))<=>(generous(X)<~>creative(X))))&
((?[X]:((~generous(X)&rich(X))))... | ~rich(fred) | [
"p4",
"p8",
"p10",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3804200467850556421202990
% SZS output start Proof for 3804200467850556421202990
5. ! [X0] : ((patient(X0) | ~quiet(X0)) <=> (generous(X0) <~> creative(X0))) [input p4]
9. ! [X0] : ((brave(X0) <~> tall(X0)) <=> (quiet(X0) <~> ~kind(X0))) [input p8]
11. ! [X0] : ((~old(X0) <~> ~quiet(X0)) ... | 0 |
Everyone who is patient is both curious and not happy and vice versa.
Everyone who is both not old and quiet is either tall or kind.
Everyone who is happy or not quiet is both humble and not creative and vice versa.
Everyone who is either brave or not kind is both happy and not strong and vice versa.
Everyone who is ei... | John is patient. | contradiction | (![X]:(patient(X)<=>(curious(X)&~happy(X))))&
(![X]:((~old(X)&quiet(X))=>(tall(X)<~>kind(X))))&
(![X]:((happy(X)|~quiet(X))<=>(humble(X)&~creative(X))))&
(![X]:((brave(X)<~>~kind(X))<=>(happy(X)&~strong(X))))&
(![X]:((strong(X)<~>old(X))<=>strong(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((~funny(X)<~>kind(X)))))&
(![X]:((~... | patient(john) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 102616804099875676666019
% SZS output start Proof for 102616804099875676666019
1. ! [X0] : (patient(X0) <=> (~happy(X0) & curious(X0))) [input p0]
5. ! [X0] : ((strong(X0) <~> old(X0)) <=> strong(X0)) [input p4]
7. ! [X0] : ((calm(X0) | ~old(X0)) => (~funny(X0) <~> ~rich(X0))) [input p6]
... | 0 |
If someone is either happy or not strong then someone is curious or not quiet and vice versa.
If susan is not brave or old then fred is either quiet or rich and vice versa.
Everyone who is not wise is either not generous or kind.
If alice is not old or not wise then someone is either not old or creative and vice versa.... | Alice is not creative. | neutral | ((?[X]:((happy(X)<~>~strong(X))))<=>(?[X]:((curious(X)|~quiet(X)))))&
(((~brave(susan)|old(susan)))<=>((quiet(fred)<~>rich(fred))))&
(![X]:(~wise(X)=>(~generous(X)<~>kind(X))))&
(((~old(alice)|~wise(alice)))<=>(?[X]:((~old(X)<~>creative(X)))))&
((~calm(alice))<=>(?[X]:((~quiet(X)<~>~kind(X)))))&
(![X]:((tall(X)<~>~funn... | ~creative(alice) | [] | null | 0 |
Everyone who is either generous or not patient is either not happy or not curious and vice versa. Everyone who is calm is not wise or not calm. If someone is both tall and generous then someone is both not creative and generous and vice versa. If mary is both not kind and not wise then john is not calm. Everyone who is... | Alice is wise. | contradiction | (![X]:((generous(X)<~>~patient(X))<=>(~happy(X)<~>~curious(X))))&
(![X]:(calm(X)=>(~wise(X)|~calm(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(((~kind(mary)&~wise(mary)))=>(~calm(john)))&
(![X]:((~strong(X)<~>~tall(X))<=>~tall(X)))&
(![X]:((quiet(X)|~generous(X))<=>(patient(X)|~kind(X... | wise(alice) | [
"p1",
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 757853943476745874479068
% SZS output start Proof for 757853943476745874479068
2. ! [X0] : (calm(X0) => (~calm(X0) | ~wise(X0))) [input p1]
5. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~tall(X0)) [input p4]
13. ! [X0] : (kind(X0) <=> (strong(X0) | rich(X0))) [input p12]
21. ~kind(alice) |... | 0 |
Everyone who is curious or not tall is both creative and not rich and vice versa.
Everyone who is either not generous or strong is not kind.
Everyone who is both not brave and brave is calm or not generous and vice versa.
If lucy is either not curious or strong then someone is not creative.
If someone is both quiet and... | Lucy is not creative. | contradiction | (![X]:((curious(X)|~tall(X))<=>(creative(X)&~rich(X))))&
(![X]:((~generous(X)<~>strong(X))=>~kind(X)))&
(![X]:((~brave(X)&brave(X))<=>(calm(X)|~generous(X))))&
(((~curious(lucy)<~>strong(lucy)))=>(?[X]:(~creative(X))))&
((?[X]:((quiet(X)&kind(X))))<=>((~rich(lucy)<~>creative(lucy))))&
(![X]:((~old(X)&~calm(X))<=>(quiet... | ~creative(lucy) | [
"p0",
"p5",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 49762062856805118449506
% SZS output start Proof for 49762062856805118449506
1. ! [X0] : ((~tall(X0) | curious(X0)) <=> (~rich(X0) & creative(X0))) [input p0]
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (happy(X0) | quiet(X0))) [input p5]
8. ! [X0] : ((~old(X0) <~> curious(X0)) <=> (old(X0) &... | 0 |
If someone is either not quiet or patient then alice is either tall or not calm and vice versa.
Everyone who is not tall or tall is funny.
Everyone who is both funny and not wise is happy and vice versa.
If alice is both not creative and not happy then fred is not rich.
Everyone who is not quiet or not rich is not humb... | John is curious. | entailment | ((?[X]:((~quiet(X)<~>patient(X))))<=>((tall(alice)<~>~calm(alice))))&
(![X]:((~tall(X)|tall(X))=>funny(X)))&
(![X]:((funny(X)&~wise(X))<=>happy(X)))&
(((~creative(alice)&~happy(alice)))=>(~rich(fred)))&
(![X]:((~quiet(X)|~rich(X))=>(~humble(X)|~wise(X))))&
(![X]:((calm(X)<~>tall(X))<=>creative(X)))&
(![X]:((tall(X)<~>~... | curious(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 899083353061077713840829
% SZS output start Proof for 899083353061077713840829
10. curious(john) <=> ? [X0] : (rich(X0) | ~curious(X0)) [input p9]
23. ~curious(john) [input hypothesis]
52. (curious(john) | ! [X0] : (~rich(X0) & curious(X0))) & (? [X0] : (rich(X0) | ~curious(X0)) | ~curiou... | 0 |
If alice is both calm and not tall then fred is quiet.
If someone is either not kind or not curious then john is both old and not tall and vice versa.
Everyone who is both not funny and not creative is not kind.
Everyone who is either not old or not brave is either happy or not kind.
If someone is either not creative o... | Alice is generous. | entailment | (((calm(alice)&~tall(alice)))=>(quiet(fred)))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((old(john)&~tall(john))))&
(![X]:((~funny(X)&~creative(X))=>~kind(X)))&
(![X]:((~old(X)<~>~brave(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:((calm(X)|~brave(X))<=>~calm(X))... | generous(alice) | [
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4580538519542123662266758
% SZS output start Proof for 4580538519542123662266758
5. ? [X0] : (~creative(X0) <~> happy(X0)) <=> ? [X0] : (~quiet(X0) & ~wise(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~calm(X0)) [input p5]
10. ! [X0] : (~calm(X0) => (calm(X0) <~> wise(X0))) [i... | 0 |
If john is both not wise and not humble then alice is patient. If someone is both funny and not creative then susan is both not calm and not strong. Everyone who is not brave is kind. Everyone who is not funny is funny or not strong and vice versa. Everyone who is both patient and creative is both not kind and funny an... | Susan is strong. | contradiction | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((~calm(susan)&~strong(susan))))&
(![X]:(~brave(X)=>kind(X)))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~creative... | strong(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 29538832176517780432065
% SZS output start Proof for 29538832176517780432065
4. ! [X0] : (~funny(X0) <=> (~strong(X0) | funny(X0))) [input p3]
25. strong(susan) [input hypothesis]
38. ! [X0] : ((~funny(X0) | (strong(X0) & ~funny(X0))) & ((~strong(X0) | funny(X0)) | funny(X0))) [nnf transf... | 0 |
Everyone who is happy or not wise is both not rich and generous and vice versa.
Everyone who is both happy and brave is quiet and vice versa.
If mary is either happy or calm then paul is rich and vice versa.
Everyone who is both old and strong is not kind or tall.
If john is calm or strong then someone is not happy and... | Susan is calm. | neutral | (![X]:((happy(X)|~wise(X))<=>(~rich(X)&generous(X))))&
(![X]:((happy(X)&brave(X))<=>quiet(X)))&
(((happy(mary)<~>calm(mary)))<=>(rich(paul)))&
(![X]:((old(X)&strong(X))=>(~kind(X)|tall(X))))&
(((calm(john)|strong(john)))<=>(?[X]:(~happy(X))))&
((?[X]:(~old(X)))=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((~funny(X)<~>~c... | calm(susan) | [] | null | 0 |
Everyone who is old is quiet.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not rich or patient.
Everyone who is wise or n... | Lucy is wise. | entailment | (![X]:(old(X)=>quiet(X)))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X))))&
(![X]:((generous(X)|~quie... | wise(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9106874177946568990700653
% SZS output start Proof for 9106874177946568990700653
3. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~strong(X0) | creative(X0))) [input p2]
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => ... | 0 |
If someone is not wise or not old then alice is not generous or brave. Everyone who is not calm or humble is either not rich or funny. Everyone who is either not kind or not tall is either old or wise. If lucy is both happy and quiet then someone is not happy. If someone is not happy then susan is either calm or not cr... | Lucy is tall. | entailment | ((?[X]:((~wise(X)|~old(X))))=>((~generous(alice)|brave(alice))))&
(![X]:((~calm(X)|humble(X))=>(~rich(X)<~>funny(X))))&
(![X]:((~kind(X)<~>~tall(X))=>(old(X)<~>wise(X))))&
(((happy(lucy)&quiet(lucy)))=>(?[X]:(~happy(X))))&
((?[X]:(~happy(X)))=>((calm(susan)<~>~creative(susan))))&
((?[X]:(~wise(X)))=>(?[X]:((funny(X)|~r... | tall(lucy) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9101061183193996069207628
% SZS output start Proof for 9101061183193996069207628
9. ! [X0] : ((tall(X0) <~> wise(X0)) <=> (~wise(X0) & ~curious(X0))) [input p8]
20. ~curious(lucy) & ~rich(lucy) [input p19]
25. ~tall(lucy) [input hypothesis]
51. ! [X0] : ((((~wise(X0) | ~tall(X0)) & (wise(... | 0 |
Everyone who is both not quiet and not generous is both not rich and not humble.
If someone is calm or not wise then susan is not rich or happy and vice versa.
Everyone who is both not strong and old is both not generous and not creative.
Everyone who is both happy and not calm is either not humble or brave and vice ve... | Alice is kind. | neutral | (![X]:((~quiet(X)&~generous(X))=>(~rich(X)&~humble(X))))&
((?[X]:((calm(X)|~wise(X))))<=>((~rich(susan)|happy(susan))))&
(![X]:((~strong(X)&old(X))=>(~generous(X)&~creative(X))))&
(![X]:((happy(X)&~calm(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((curious(X)|~rich(X))=>(~wise(X)&~old(X))))&
(![X]:((~generous(X)|generous(X)... | kind(alice) | [] | null | 0 |
If someone is generous or old then lucy is both calm and tall and vice versa.
Everyone who is either patient or not creative is not patient and vice versa.
Everyone who is either not tall or strong is both calm and strong and vice versa.
If fred is patient or humble then lucy is both not happy and funny.
If someone is ... | John is generous. | entailment | ((?[X]:((generous(X)|old(X))))<=>((calm(lucy)&tall(lucy))))&
(![X]:((patient(X)<~>~creative(X))<=>~patient(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(calm(X)&strong(X))))&
(((patient(fred)|humble(fred)))=>((~happy(lucy)&funny(lucy))))&
((?[X]:((~wise(X)&creative(X))))<=>(?[X]:((old(X)|~wise(X)))))&
((~calm(susan))<=>(?[X]:... | generous(john) | [
"p1",
"p4",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6536244336694509644692865
% SZS output start Proof for 6536244336694509644692865
2. ! [X0] : ((patient(X0) <~> ~creative(X0)) <=> ~patient(X0)) [input p1]
5. ? [X0] : (creative(X0) & ~wise(X0)) <=> ? [X0] : (~wise(X0) | old(X0)) [input p4]
7. ? [X0] : (~generous(X0) | ~wise(X0)) <=> ? [X0... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is not funny then someone is not brave or wise and vice versa.
Everyone who is both not tall and not strong is either not wise or not strong and vice versa.
Everyone who is both old and creative is either strong or not wise and... | Paul is not tall. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((~funny(john))<=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(!... | ~tall(paul) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 636173815307656827178184
% SZS output start Proof for 636173815307656827178184
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p2]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~t... | 0 |
Everyone who is not strong or not generous is not kind or humble and vice versa.
If someone is both not generous and not quiet then someone is not happy or quiet and vice versa.
Everyone who is not generous is both rich and not brave.
If mary is both wise and humble then susan is not patient and vice versa.
Everyone wh... | John is not generous. | contradiction | (![X]:((~strong(X)|~generous(X))<=>(~kind(X)|humble(X))))&
((?[X]:((~generous(X)&~quiet(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:(~generous(X)=>(rich(X)&~brave(X))))&
(((wise(mary)&humble(mary)))<=>(~patient(susan)))&
(![X]:((~wise(X)<~>wise(X))<=>(strong(X)&funny(X))))&
(((~creative(paul)&creative(paul)))<=>((~cu... | ~generous(john) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6750670002126938784615217
% SZS output start Proof for 6750670002126938784615217
3. ! [X0] : (~generous(X0) => (~brave(X0) & rich(X0))) [input p2]
19. ~rich(john) & ~quiet(john) [input p18]
23. ~generous(john) [input hypothesis]
26. ! [X0] : ((~brave(X0) & rich(X0)) | generous(X0)) [ennf ... | 0 |
If someone is either rich or funny then someone is not quiet. If someone is not old then someone is wise and vice versa. If fred is not rich or not curious then someone is either kind or creative and vice versa. If lucy is either not curious or not brave then paul is not happy or curious. Everyone who is both calm and ... | Alice is not generous. | contradiction | ((?[X]:((rich(X)<~>funny(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(~old(X)))<=>(?[X]:(wise(X))))&
(((~rich(fred)|~curious(fred)))<=>(?[X]:((kind(X)<~>creative(X)))))&
(((~curious(lucy)<~>~brave(lucy)))=>((~happy(paul)|curious(paul))))&
(![X]:((calm(X)&tall(X))<=>(~strong(X)<~>tall(X))))&
(((quiet(lucy)<~>~strong(lucy)))<=>((... | ~generous(alice) | [
"p6",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6625053746440711335351404
% SZS output start Proof for 6625053746440711335351404
7. ! [X0] : ((tall(X0) & curious(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p6]
9. ? [X0] : ~patient(X0) <=> ~tall(paul) [input p8]
23. generous(alice) <~> ~patient(alice) [input p22]
24. ~generous(alice... | 0 |
Everyone who is patient or not tall is both kind and calm. If someone is not funny or not calm then susan is both curious and kind. Everyone who is both not humble and creative is happy. Everyone who is creative or not calm is old. If susan is curious or kind then someone is not old or happy and vice versa. If paul is ... | Lucy is funny. | contradiction | (![X]:((patient(X)|~tall(X))=>(kind(X)&calm(X))))&
((?[X]:((~funny(X)|~calm(X))))=>((curious(susan)&kind(susan))))&
(![X]:((~humble(X)&creative(X))=>happy(X)))&
(![X]:((creative(X)|~calm(X))=>old(X)))&
(((curious(susan)|kind(susan)))<=>(?[X]:((~old(X)|happy(X)))))&
((brave(paul))<=>((happy(mary)<~>~quiet(mary))))&
((?[... | funny(lucy) | [
"p0",
"p3",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8570190660671387925524773
% SZS output start Proof for 8570190660671387925524773
1. ! [X0] : ((~tall(X0) | patient(X0)) => (calm(X0) & kind(X0))) [input p0]
4. ! [X0] : ((~calm(X0) | creative(X0)) => old(X0)) [input p3]
9. ! [X0] : ((old(X0) | creative(X0)) => (patient(X0) & ~calm(X0))) [... | 0 |
If someone is not creative then mary is either calm or brave. Everyone who is either happy or strong is both rich and not generous and vice versa. Everyone who is either funny or not curious is generous or patient. If someone is both kind and happy then fred is not generous and vice versa. Everyone who is both not tall... | Fred is curious. | neutral | ((?[X]:(~creative(X)))=>((calm(mary)<~>brave(mary))))&
(![X]:((happy(X)<~>strong(X))<=>(rich(X)&~generous(X))))&
(![X]:((funny(X)<~>~curious(X))=>(generous(X)|patient(X))))&
((?[X]:((kind(X)&happy(X))))<=>(~generous(fred)))&
(![X]:((~tall(X)&~humble(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~wise(X)|~quiet(X))=>kind(X))... | curious(fred) | [] | null | 0 |
Everyone who is not funny is not patient or not creative and vice versa.
Everyone who is not brave or not kind is strong.
If fred is not happy then someone is either creative or not old.
Everyone who is either funny or wise is both not funny and happy.
Everyone who is either old or funny is either generous or not brave... | Fred is not kind. | neutral | (![X]:(~funny(X)<=>(~patient(X)|~creative(X))))&
(![X]:((~brave(X)|~kind(X))=>strong(X)))&
((~happy(fred))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((funny(X)<~>wise(X))=>(~funny(X)&happy(X))))&
(![X]:((old(X)<~>funny(X))=>(generous(X)<~>~brave(X))))&
(![X]:(calm(X)<=>(kind(X)|happy(X))))&
(![X]:((~brave(X)&creative(X... | ~kind(fred) | [] | null | 0 |
If mary is either tall or not curious then paul is either creative or tall and vice versa.
If john is either not rich or not quiet then someone is either creative or tall and vice versa.
Everyone who is both tall and not happy is either not patient or not brave.
Everyone who is either old or not brave is either not gen... | Paul is not curious. | neutral | (((tall(mary)<~>~curious(mary)))<=>((creative(paul)<~>tall(paul))))&
(((~rich(john)<~>~quiet(john)))<=>(?[X]:((creative(X)<~>tall(X)))))&
(![X]:((tall(X)&~happy(X))=>(~patient(X)<~>~brave(X))))&
(![X]:((old(X)<~>~brave(X))=>(~generous(X)<~>~curious(X))))&
(![X]:(~old(X)<=>curious(X)))&
((?[X]:(~funny(X)))<=>(?[X]:((~cu... | ~curious(paul) | [] | null | 0 |
Everyone who is not old is either strong or quiet and vice versa.
Everyone who is either not rich or funny is either happy or not quiet and vice versa.
Everyone who is both not strong and old is either tall or happy.
Everyone who is either tall or not patient is either wise or not brave and vice versa.
Everyone who is ... | Mary is not calm. | neutral | (![X]:(~old(X)<=>(strong(X)<~>quiet(X))))&
(![X]:((~rich(X)<~>funny(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~strong(X)&old(X))=>(tall(X)<~>happy(X))))&
(![X]:((tall(X)<~>~patient(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~kind(X)<~>calm(X))))&
((?[X]:(tall(X)))<=>(strong(lucy)))&
(![X]:((~hu... | ~calm(mary) | [] | null | 0 |
Everyone who is both creative and curious is not curious or not humble and vice versa.
Everyone who is not kind is both not quiet and humble and vice versa.
If someone is either brave or not wise then alice is tall and vice versa.
Everyone who is not curious is not generous or not curious and vice versa.
If someone is ... | Susan is not brave. | contradiction | (![X]:((creative(X)&curious(X))<=>(~curious(X)|~humble(X))))&
(![X]:(~kind(X)<=>(~quiet(X)&humble(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(tall(alice)))&
(![X]:(~curious(X)<=>(~generous(X)|~curious(X))))&
((?[X]:((~creative(X)<~>old(X))))<=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:((~wise(X)|patient(X))=>(happy(X)&brav... | ~brave(susan) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7846948686380831789840200
% SZS output start Proof for 7846948686380831789840200
6. ! [X0] : ((patient(X0) | ~wise(X0)) => (brave(X0) & happy(X0))) [input p5]
22. strong(susan) & patient(susan) [input p21]
25. ~brave(susan) [input hypothesis]
33. ! [X0] : ((brave(X0) & happy(X0)) | (~pati... | 0 |
Everyone who is both patient and generous is both wise and not humble. If paul is both wise and curious then fred is not tall or wise and vice versa. Everyone who is either happy or not quiet is both brave and not happy. If alice is not humble then someone is both not generous and creative and vice versa. If someone is... | Alice is not old. | neutral | (![X]:((patient(X)&generous(X))=>(wise(X)&~humble(X))))&
(((wise(paul)&curious(paul)))<=>((~tall(fred)|wise(fred))))&
(![X]:((happy(X)<~>~quiet(X))=>(brave(X)&~happy(X))))&
((~humble(alice))<=>(?[X]:((~generous(X)&creative(X)))))&
((?[X]:((patient(X)&curious(X))))<=>((tall(lucy)|~wise(lucy))))&
((?[X]:((~quiet(X)|gener... | ~old(alice) | [] | null | 0 |
If mary is not kind or tall then john is either funny or wise and vice versa. Everyone who is both not strong and not creative is not generous or not curious and vice versa. Everyone who is either not creative or not strong is both not tall and tall and vice versa. Everyone who is old is both not creative and not patie... | Fred is not patient. | entailment | (((~kind(mary)|tall(mary)))<=>((funny(john)<~>wise(john))))&
(![X]:((~strong(X)&~creative(X))<=>(~generous(X)|~curious(X))))&
(![X]:((~creative(X)<~>~strong(X))<=>(~tall(X)&tall(X))))&
(![X]:(old(X)<=>(~creative(X)&~patient(X))))&
((?[X]:(happy(X)))<=>(?[X]:((happy(X)<~>~calm(X)))))&
((?[X]:((~happy(X)|~calm(X))))=>(wi... | ~patient(fred) | [
"p2",
"p4",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8281325358906960843175163
% SZS output start Proof for 8281325358906960843175163
3. ! [X0] : ((~creative(X0) <~> ~strong(X0)) <=> (tall(X0) & ~tall(X0))) [input p2]
5. ? [X0] : happy(X0) <=> ? [X0] : (happy(X0) <~> ~calm(X0)) [input p4]
8. ! [X0] : ((curious(X0) | happy(X0)) <=> (strong(X... | 0 |
Everyone who is both rich and not curious is not calm or not happy and vice versa.
If someone is either not strong or not brave then lucy is either not funny or brave.
Everyone who is both happy and not strong is both not humble and not strong.
Everyone who is either not wise or not generous is not rich.
Everyone who i... | Paul is not calm. | entailment | (![X]:((rich(X)&~curious(X))<=>(~calm(X)|~happy(X))))&
((?[X]:((~strong(X)<~>~brave(X))))=>((~funny(lucy)<~>brave(lucy))))&
(![X]:((happy(X)&~strong(X))=>(~humble(X)&~strong(X))))&
(![X]:((~wise(X)<~>~generous(X))=>~rich(X)))&
(![X]:(patient(X)=>(~calm(X)|humble(X))))&
(![X]:((~brave(X)&creative(X))=>(funny(X)&humble(X... | ~calm(paul) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3942915628362129035746486
% SZS output start Proof for 3942915628362129035746486
8. ! [X0] : (calm(X0) => (tall(X0) & happy(X0))) [input p7]
13. ! [X0] : ((~curious(X0) | happy(X0)) <=> ~happy(X0)) [input p12]
23. calm(paul) [input hypothesis]
34. ! [X0] : ((tall(X0) & happy(X0)) | ~calm(... | 0 |
Everyone who is both strong and old is either tall or calm and vice versa.
If lucy is both not patient and creative then someone is curious or kind.
If someone is both not calm and not tall then john is both creative and brave and vice versa.
If susan is either not wise or wise then susan is both not kind and calm.
Eve... | Lucy is not quiet. | contradiction | (![X]:((strong(X)&old(X))<=>(tall(X)<~>calm(X))))&
(((~patient(lucy)&creative(lucy)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~calm(X)&~tall(X))))<=>((creative(john)&brave(john))))&
(((~wise(susan)<~>wise(susan)))=>((~kind(susan)&calm(susan))))&
(![X]:((~strong(X)|~creative(X))=>~generous(X)))&
(((humble(susan)&calm(... | ~quiet(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1075860771851729546450132
% SZS output start Proof for 1075860771851729546450132
17. curious(lucy) & quiet(lucy) [input p16]
25. ~quiet(lucy) [input hypothesis]
135. quiet(lucy) [cnf transformation 17]
147. ~quiet(lucy) [cnf transformation 25]
344. $false [subsumption resolution 147,135]
... | 0 |
Everyone who is funny or generous is both not quiet and curious and vice versa.
Everyone who is not wise is wise or not strong and vice versa.
Everyone who is not creative or strong is either strong or rich and vice versa.
Everyone who is happy or not kind is both not happy and quiet and vice versa.
Everyone who is eit... | Alice is old. | contradiction | (![X]:((funny(X)|generous(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~wise(X)<=>(wise(X)|~strong(X))))&
(![X]:((~creative(X)|strong(X))<=>(strong(X)<~>rich(X))))&
(![X]:((happy(X)|~kind(X))<=>(~happy(X)&quiet(X))))&
(![X]:((~old(X)<~>happy(X))=>(~funny(X)&~tall(X))))&
(![X]:((~kind(X)&funny(X))<=>(creative(X)&~tall(X))))&
... | old(alice) | [
"p3",
"p4",
"p7",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3738060860654883979341024
% SZS output start Proof for 3738060860654883979341024
4. ! [X0] : ((~kind(X0) | happy(X0)) <=> (quiet(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((~old(X0) <~> happy(X0)) => (~tall(X0) & ~funny(X0))) [input p4]
8. ! [X0] : (old(X0) => (tall(X0) | creative(X0))) [... | 0 |
Everyone who is either humble or not tall is both old and kind and vice versa.
If susan is generous or not brave then susan is generous or not tall and vice versa.
Everyone who is rich is both calm and not strong.
If someone is strong then someone is wise and vice versa.
Everyone who is both wise and creative is either... | Alice is not happy. | contradiction | (![X]:((humble(X)<~>~tall(X))<=>(old(X)&kind(X))))&
(((generous(susan)|~brave(susan)))<=>((generous(susan)|~tall(susan))))&
(![X]:(rich(X)=>(calm(X)&~strong(X))))&
((?[X]:(strong(X)))<=>(?[X]:(wise(X))))&
(![X]:((wise(X)&creative(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(~curious(X)=>old(X)))&
(![X]:((wise(X)&tall(X))<=>(... | ~happy(alice) | [
"p2",
"p5",
"p6",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1498357201644692328793113
% SZS output start Proof for 1498357201644692328793113
3. ! [X0] : (rich(X0) => (~strong(X0) & calm(X0))) [input p2]
6. ! [X0] : (~curious(X0) => old(X0)) [input p5]
7. ! [X0] : ((tall(X0) & wise(X0)) <=> (curious(X0) | ~humble(X0))) [input p6]
11. ! [X0] : ((ric... | 0 |
If susan is both not old and not creative then someone is not funny and vice versa.
Everyone who is either not humble or kind is both generous and not kind and vice versa.
Everyone who is both not generous and not funny is either not generous or wise and vice versa.
Everyone who is curious is strong or not rich and vic... | Fred is strong. | contradiction | (((~old(susan)&~creative(susan)))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(generous(X)&~kind(X))))&
(![X]:((~generous(X)&~funny(X))<=>(~generous(X)<~>wise(X))))&
(![X]:(curious(X)<=>(strong(X)|~rich(X))))&
(![X]:((brave(X)|~rich(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((old(X)|~kind(X))=>(~humble(X)&~stron... | strong(fred) | [
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6359094596794235738982759
% SZS output start Proof for 6359094596794235738982759
3. ! [X0] : ((~funny(X0) & ~generous(X0)) <=> (~generous(X0) <~> wise(X0))) [input p2]
9. ! [X0] : (generous(X0) => (patient(X0) & wise(X0))) [input p8]
12. ! [X0] : ((generous(X0) | ~generous(X0)) => (~stron... | 0 |
Everyone who is either not happy or not tall is quiet or not patient and vice versa.
If alice is happy or strong then someone is both not rich and not humble.
If someone is either wise or tall then someone is either old or not happy.
Everyone who is either not happy or not quiet is both curious and calm and vice versa.... | Lucy is not brave. | neutral | (![X]:((~happy(X)<~>~tall(X))<=>(quiet(X)|~patient(X))))&
(((happy(alice)|strong(alice)))=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((wise(X)<~>tall(X))))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((~happy(X)<~>~quiet(X))<=>(curious(X)&calm(X))))&
((?[X]:((strong(X)|~old(X))))<=>(?[X]:((~creative(X)|~brave(X)))))&
((?[X]:(... | ~brave(lucy) | [] | null | 0 |
If susan is both not creative and not old then lucy is patient or creative.
Everyone who is both not creative and not happy is not wise and vice versa.
If someone is either generous or not tall then someone is both strong and not brave and vice versa.
If someone is not kind or not curious then john is generous.
Everyon... | John is generous. | entailment | (((~creative(susan)&~old(susan)))=>((patient(lucy)|creative(lucy))))&
(![X]:((~creative(X)&~happy(X))<=>~wise(X)))&
((?[X]:((generous(X)<~>~tall(X))))<=>(?[X]:((strong(X)&~brave(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(generous(john)))&
(![X]:(humble(X)=>(strong(X)|curious(X))))&
(![X]:((wise(X)&~brave(X))<=>(~quiet(... | generous(john) | [
"p3",
"p6",
"p10",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4134562984657556983280530
% SZS output start Proof for 4134562984657556983280530
4. ? [X0] : (~curious(X0) | ~kind(X0)) => generous(john) [input p3]
7. ! [X0] : ((kind(X0) <~> ~old(X0)) <=> (rich(X0) | ~generous(X0))) [input p6]
11. ! [X0] : ((~rich(X0) <~> creative(X0)) => ~generous(X0))... | 0 |
If alice is humble then someone is both generous and kind and vice versa.
If alice is both happy and not curious then alice is both not brave and not calm.
If someone is not calm then alice is either patient or humble.
Everyone who is either not creative or not happy is both humble and not funny.
Everyone who is either... | John is strong. | contradiction | ((humble(alice))<=>(?[X]:((generous(X)&kind(X)))))&
(((happy(alice)&~curious(alice)))=>((~brave(alice)&~calm(alice))))&
((?[X]:(~calm(X)))=>((patient(alice)<~>humble(alice))))&
(![X]:((~creative(X)<~>~happy(X))=>(humble(X)&~funny(X))))&
(![X]:((generous(X)<~>strong(X))<=>(calm(X)&~patient(X))))&
((?[X]:((~curious(X)&pa... | strong(john) | [
"p4",
"p5",
"p7",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1229786957670126297427549
% SZS output start Proof for 1229786957670126297427549
5. ! [X0] : ((generous(X0) <~> strong(X0)) <=> (~patient(X0) & calm(X0))) [input p4]
6. ? [X0] : (patient(X0) & ~curious(X0)) <=> ? [X0] : (patient(X0) | ~tall(X0)) [input p5]
8. ! [X0] : ((~curious(X0) | ~ki... | 0 |
If someone is not funny or not generous then someone is both not rich and calm.
Everyone who is kind is both curious and not rich.
If someone is both not calm and creative then fred is not humble or brave.
Everyone who is not calm is funny or creative.
Everyone who is happy is either not humble or rich.
Everyone who is... | Fred is not kind. | entailment | ((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((~rich(X)&calm(X)))))&
(![X]:(kind(X)=>(curious(X)&~rich(X))))&
((?[X]:((~calm(X)&creative(X))))=>((~humble(fred)|brave(fred))))&
(![X]:(~calm(X)=>(funny(X)|creative(X))))&
(![X]:(happy(X)=>(~humble(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(~creative(X)&old(X))))&
((?[X]:((funny(X)&... | ~kind(fred) | [
"p1",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 67494617270953954409281
% SZS output start Proof for 67494617270953954409281
2. ! [X0] : (kind(X0) => (~rich(X0) & curious(X0))) [input p1]
8. ! [X0] : ((~wise(X0) <~> calm(X0)) <=> calm(X0)) [input p7]
9. ! [X0] : ((creative(X0) <~> ~creative(X0)) <=> (~happy(X0) & ~creative(X0))) [input... | 0 |
If mary is kind or not creative then mary is both not tall and not happy.
If someone is both quiet and not generous then someone is not rich.
If paul is not happy then someone is quiet and vice versa.
Everyone who is not rich is both generous and rich and vice versa.
Everyone who is not rich is both creative and not ol... | Lucy is rich. | entailment | (((kind(mary)|~creative(mary)))=>((~tall(mary)&~happy(mary))))&
((?[X]:((quiet(X)&~generous(X))))=>(?[X]:(~rich(X))))&
((~happy(paul))<=>(?[X]:(quiet(X))))&
(![X]:(~rich(X)<=>(generous(X)&rich(X))))&
(![X]:(~rich(X)<=>(creative(X)&~old(X))))&
(![X]:((strong(X)|kind(X))<=>(~curious(X)<~>patient(X))))&
(((~quiet(lucy)&wi... | rich(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 835084963763217556465794
% SZS output start Proof for 835084963763217556465794
4. ! [X0] : (~rich(X0) <=> (rich(X0) & generous(X0))) [input p3]
24. ~rich(lucy) [input hypothesis]
44. ! [X0] : ((~rich(X0) | (~rich(X0) | ~generous(X0))) & ((rich(X0) & generous(X0)) | rich(X0))) [nnf transfo... | 0 |
Everyone who is not creative is both creative and happy and vice versa.
If someone is quiet or wise then susan is both not brave and not wise.
If someone is both not old and strong then someone is both not calm and brave and vice versa.
Everyone who is strong or not quiet is not happy or not rich.
If someone is generou... | Paul is not tall. | neutral | (![X]:(~creative(X)<=>(creative(X)&happy(X))))&
((?[X]:((quiet(X)|wise(X))))=>((~brave(susan)&~wise(susan))))&
((?[X]:((~old(X)&strong(X))))<=>(?[X]:((~calm(X)&brave(X)))))&
(![X]:((strong(X)|~quiet(X))=>(~happy(X)|~rich(X))))&
((?[X]:(generous(X)))<=>((~happy(mary)<~>rich(mary))))&
(((~brave(john)|~happy(john)))<=>(?[... | ~tall(paul) | [] | null | 0 |
Everyone who is either strong or old is either not curious or not patient.
If fred is both not generous and creative then someone is either funny or creative.
Everyone who is either humble or not wise is not humble.
Everyone who is both creative and happy is both not creative and not funny.
Everyone who is either not q... | Lucy is generous. | entailment | (![X]:((strong(X)<~>old(X))=>(~curious(X)<~>~patient(X))))&
(((~generous(fred)&creative(fred)))=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((humble(X)<~>~wise(X))=>~humble(X)))&
(![X]:((creative(X)&happy(X))=>(~creative(X)&~funny(X))))&
(![X]:((~quiet(X)<~>~funny(X))<=>~wise(X)))&
((?[X]:((~curious(X)<~>~quiet(X))))=>(... | generous(lucy) | [
"p6",
"p7",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 798310449172493745162643
% SZS output start Proof for 798310449172493745162643
7. ! [X0] : (~funny(X0) => (kind(X0) & curious(X0))) [input p6]
8. ! [X0] : (brave(X0) => (~funny(X0) & kind(X0))) [input p7]
9. ! [X0] : ((old(X0) <~> ~brave(X0)) <=> (~funny(X0) & ~generous(X0))) [input p8]
1... | 0 |
Everyone who is either not quiet or calm is calm and vice versa.
If fred is not rich or not generous then fred is both not creative and not funny.
Everyone who is both not brave and old is not calm.
If paul is not rich then someone is both humble and happy and vice versa.
If someone is either not brave or not funny the... | Fred is not creative. | entailment | (![X]:((~quiet(X)<~>calm(X))<=>calm(X)))&
(((~rich(fred)|~generous(fred)))=>((~creative(fred)&~funny(fred))))&
(![X]:((~brave(X)&old(X))=>~calm(X)))&
((~rich(paul))<=>(?[X]:((humble(X)&happy(X)))))&
((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((funny(X)&~creative(X)))))&
(![X]:(~funny(X)<=>(kind(X)<~>~kind(X))))&
((patien... | ~creative(fred) | [
"p5",
"p8",
"p14",
"p16",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6936338471786362088815439
% SZS output start Proof for 6936338471786362088815439
6. ! [X0] : (~funny(X0) <=> (kind(X0) <~> ~kind(X0))) [input p5]
9. ? [X0] : (calm(X0) | rich(X0)) => ~calm(fred) [input p8]
15. ! [X0] : ((wise(X0) | ~calm(X0)) => (~generous(X0) <~> kind(X0))) [input p14]
1... | 0 |
If john is rich then john is not patient and vice versa.
Everyone who is both not brave and not funny is funny.
Everyone who is not kind is curious or not old and vice versa.
Everyone who is not calm is both generous and curious and vice versa.
Everyone who is old or not old is not old and vice versa.
Everyone who is b... | Lucy is quiet. | entailment | ((rich(john))<=>(~patient(john)))&
(![X]:((~brave(X)&~funny(X))=>funny(X)))&
(![X]:(~kind(X)<=>(curious(X)|~old(X))))&
(![X]:(~calm(X)<=>(generous(X)&curious(X))))&
(![X]:((old(X)|~old(X))<=>~old(X)))&
(![X]:((~happy(X)&humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:((~calm(X)<~>~rich(X))=>(old(X)&generous(X))))&
(![X]:... | quiet(lucy) | [
"p3",
"p4",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6626913616295603420470492
% SZS output start Proof for 6626913616295603420470492
4. ! [X0] : (~calm(X0) <=> (curious(X0) & generous(X0))) [input p3]
5. ! [X0] : ((~old(X0) | old(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : ((~calm(X0) <~> ~rich(X0)) => (generous(X0) & old(X0))) [input p6]
10... | 0 |
Everyone who is humble is not funny or generous and vice versa. Everyone who is tall is both not kind and wise and vice versa. Everyone who is either not strong or kind is both old and not humble. Everyone who is either humble or generous is happy and vice versa. If someone is funny or kind then fred is either not gene... | Lucy is not wise. | neutral | (![X]:(humble(X)<=>(~funny(X)|generous(X))))&
(![X]:(tall(X)<=>(~kind(X)&wise(X))))&
(![X]:((~strong(X)<~>kind(X))=>(old(X)&~humble(X))))&
(![X]:((humble(X)<~>generous(X))<=>happy(X)))&
((?[X]:((funny(X)|kind(X))))<=>((~generous(fred)<~>~humble(fred))))&
(((strong(fred)|~generous(fred)))=>((happy(lucy)|~quiet(lucy))))&... | ~wise(lucy) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.