premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Susan is not happy. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | ~happy(susan) | [] | null | 0 |
Everyone who is happy or not generous is wise or calm.
Everyone who is quiet or not kind is brave or not kind and vice versa.
If lucy is old or quiet then someone is either quiet or funny and vice versa.
Everyone who is generous or tall is not happy and vice versa.
If fred is not quiet then someone is humble or not str... | Mary is not calm. | contradiction | (![X]:((happy(X)|~generous(X))=>(wise(X)|calm(X))))&
(![X]:((quiet(X)|~kind(X))<=>(brave(X)|~kind(X))))&
(((old(lucy)|quiet(lucy)))<=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((generous(X)|tall(X))<=>~happy(X)))&
((~quiet(fred))<=>(?[X]:((humble(X)|~strong(X)))))&
((?[X]:((quiet(X)&rich(X))))=>(calm(mary)))&
((happy(alic... | ~calm(mary) | [
"p5",
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9198999635173433715723055
% SZS output start Proof for 9198999635173433715723055
6. ? [X0] : (rich(X0) & quiet(X0)) => calm(mary) [input p5]
9. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (~strong(X0) | rich(X0))) [input p8]
14. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> (quiet(X0) <~> ~st... | 0 |
If someone is either creative or not quiet then someone is either calm or strong. Everyone who is both not brave and brave is either tall or not generous. Everyone who is brave or not wise is not generous. If alice is not patient or not calm then someone is either creative or not strong. Everyone who is both not genero... | Susan is kind. | contradiction | ((?[X]:((creative(X)<~>~quiet(X))))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((~brave(X)&brave(X))=>(tall(X)<~>~generous(X))))&
(![X]:((brave(X)|~wise(X))=>~generous(X)))&
(((~patient(alice)|~calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((~generous(X)&~kind(X))<=>(rich(X)&quiet(X))))&
(![X]:(~brave(X)=>old... | kind(susan) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p10",
"p12",
"p13",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8945870744008952223932515
% SZS output start Proof for 8945870744008952223932515
3. ! [X0] : ((~wise(X0) | brave(X0)) => ~generous(X0)) [input p2]
5. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (quiet(X0) & rich(X0))) [input p4]
6. ! [X0] : (~brave(X0) => old(X0)) [input p5]
7. ! [X0] : ((~... | 0 |
Everyone who is both calm and quiet is both not happy and curious and vice versa. Everyone who is not wise is not generous and vice versa. If paul is not quiet then someone is old and vice versa. If paul is both not humble and old then john is wise or not patient. If fred is not tall then paul is humble and vice versa.... | Fred is funny. | neutral | (![X]:((calm(X)&quiet(X))<=>(~happy(X)&curious(X))))&
(![X]:(~wise(X)<=>~generous(X)))&
((~quiet(paul))<=>(?[X]:(old(X))))&
(((~humble(paul)&old(paul)))=>((wise(john)|~patient(john))))&
((~tall(fred))<=>(humble(paul)))&
(((tall(mary)|~creative(mary)))=>((~quiet(lucy)&~humble(lucy))))&
(![X]:(~humble(X)=>(~tall(X)&~gene... | funny(fred) | [] | null | 0 |
If someone is not wise then john is both not creative and patient.
If someone is not old then alice is both kind and not generous and vice versa.
If alice is humble or rich then someone is not rich.
If someone is not calm or tall then someone is both not curious and old and vice versa.
Everyone who is either tall or br... | Lucy is not funny. | contradiction | ((?[X]:(~wise(X)))=>((~creative(john)&patient(john))))&
((?[X]:(~old(X)))<=>((kind(alice)&~generous(alice))))&
(((humble(alice)|rich(alice)))=>(?[X]:(~rich(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(... | ~funny(lucy) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7015725288818222270804068
% SZS output start Proof for 7015725288818222270804068
4. ? [X0] : (tall(X0) | ~calm(X0)) <=> ? [X0] : (old(X0) & ~curious(X0)) [input p3]
5. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~curious(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((old(X0) & ~generous(X0)) ... | 0 |
If susan is not creative or not generous then someone is not brave and vice versa. If paul is not old or old then someone is strong and vice versa. If someone is either not creative or creative then alice is either rich or kind and vice versa. Everyone who is both not rich and not happy is strong. If fred is kind or pa... | Paul is not generous. | neutral | (((~creative(susan)|~generous(susan)))<=>(?[X]:(~brave(X))))&
(((~old(paul)|old(paul)))<=>(?[X]:(strong(X))))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![X]:((~rich(X)&~happy(X))=>strong(X)))&
(((kind(fred)|patient(fred)))=>((wise(susan)&~generous(susan))))&
(![X]:(tall(X)=>(~rich(X)&~h... | ~generous(paul) | [] | null | 0 |
If someone is creative then someone is either tall or quiet.
Everyone who is happy is either funny or patient and vice versa.
Everyone who is tall is rich.
If john is either not patient or kind then someone is not creative and vice versa.
Everyone who is patient is both not curious and strong and vice versa.
Everyone w... | John is generous. | neutral | ((?[X]:(creative(X)))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>patient(X))))&
(![X]:(tall(X)=>rich(X)))&
(((~patient(john)<~>kind(john)))<=>(?[X]:(~creative(X))))&
(![X]:(patient(X)<=>(~curious(X)&strong(X))))&
(![X]:(strong(X)<=>happy(X)))&
((curious(paul))=>(?[X]:(~happy(X))))&
((?[X]:((funny(X)... | generous(john) | [] | null | 0 |
If someone is both old and brave then lucy is not patient or quiet. Everyone who is either not brave or not happy is both tall and old and vice versa. If paul is both not calm and strong then susan is wise and vice versa. Everyone who is both strong and quiet is not curious or calm and vice versa. If paul is not quiet ... | John is quiet. | entailment | ((?[X]:((old(X)&brave(X))))=>((~patient(lucy)|quiet(lucy))))&
(![X]:((~brave(X)<~>~happy(X))<=>(tall(X)&old(X))))&
(((~calm(paul)&strong(paul)))<=>(wise(susan)))&
(![X]:((strong(X)&quiet(X))<=>(~curious(X)|calm(X))))&
(((~quiet(paul)|rich(paul)))<=>((~strong(fred)&humble(fred))))&
(![X]:(~calm(X)<=>(strong(X)&~strong(X... | quiet(john) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8745716916428108686785450
% SZS output start Proof for 8745716916428108686785450
4. ! [X0] : ((quiet(X0) & strong(X0)) <=> (calm(X0) | ~curious(X0))) [input p3]
6. ! [X0] : (~calm(X0) <=> (~strong(X0) & strong(X0))) [input p5]
24. ~quiet(john) [input hypothesis]
43. ! [X0] : (((quiet(X0) ... | 0 |
If lucy is not happy or quiet then lucy is either not tall or not old and vice versa. Everyone who is not quiet is both quiet and strong. If someone is either calm or happy then paul is both not patient and not strong and vice versa. Everyone who is rich is generous or not funny. Everyone who is quiet is both creative ... | Fred is not old. | contradiction | (((~happy(lucy)|quiet(lucy)))<=>((~tall(lucy)<~>~old(lucy))))&
(![X]:(~quiet(X)=>(quiet(X)&strong(X))))&
((?[X]:((calm(X)<~>happy(X))))<=>((~patient(paul)&~strong(paul))))&
(![X]:(rich(X)=>(generous(X)|~funny(X))))&
(![X]:(quiet(X)=>(creative(X)&kind(X))))&
(![X]:(~patient(X)<=>(~funny(X)&~tall(X))))&
((?[X]:(~brave(X)... | ~old(fred) | [
"p1",
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7245015554231046927189518
% SZS output start Proof for 7245015554231046927189518
2. ! [X0] : (~quiet(X0) => (strong(X0) & quiet(X0))) [input p1]
5. ! [X0] : (quiet(X0) => (kind(X0) & creative(X0))) [input p4]
12. ! [X0] : ((~old(X0) | kind(X0)) <=> (quiet(X0) & ~calm(X0))) [input p11]
13.... | 0 |
Everyone who is either not tall or happy is either not tall or strong and vice versa. Everyone who is funny is either not curious or tall and vice versa. If susan is curious then susan is both funny and not humble and vice versa. Everyone who is not funny is tall. Everyone who is either patient or old is both rich and ... | John is quiet. | neutral | (![X]:((~tall(X)<~>happy(X))<=>(~tall(X)<~>strong(X))))&
(![X]:(funny(X)<=>(~curious(X)<~>tall(X))))&
((curious(susan))<=>((funny(susan)&~humble(susan))))&
(![X]:(~funny(X)=>tall(X)))&
(![X]:((patient(X)<~>old(X))=>(rich(X)&wise(X))))&
((?[X]:((rich(X)&happy(X))))<=>(?[X]:(strong(X))))&
(![X]:((~kind(X)|~tall(X))=>wise... | quiet(john) | [] | null | 0 |
If fred is both not brave and not patient then paul is not creative and vice versa.
Everyone who is creative or not kind is not kind or creative and vice versa.
Everyone who is not creative is humble and vice versa.
If someone is not brave then someone is not old or not quiet.
Everyone who is not patient is either not ... | Mary is not patient. | entailment | (((~brave(fred)&~patient(fred)))<=>(~creative(paul)))&
(![X]:((creative(X)|~kind(X))<=>(~kind(X)|creative(X))))&
(![X]:(~creative(X)<=>humble(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:(~patient(X)=>(~strong(X)<~>~quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)&~tall(X))))&
((~curious(alice))<=>(~... | ~patient(mary) | [
"p2",
"p5",
"p10",
"p14",
"p15",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7951351531740070532638878
% SZS output start Proof for 7951351531740070532638878
3. ! [X0] : (~creative(X0) <=> humble(X0)) [input p2]
6. ! [X0] : (~creative(X0) <=> (~tall(X0) & ~creative(X0))) [input p5]
11. ! [X0] : (patient(X0) <=> (quiet(X0) <~> ~wise(X0))) [input p10]
15. ! [X0] : (... | 0 |
Everyone who is not wise or not generous is not patient or kind.
Everyone who is either kind or not humble is not creative.
Everyone who is not curious or old is not generous or wise.
Everyone who is either not calm or not creative is brave or funny and vice versa.
If someone is either happy or not curious then someone... | Susan is old. | neutral | (![X]:((~wise(X)|~generous(X))=>(~patient(X)|kind(X))))&
(![X]:((kind(X)<~>~humble(X))=>~creative(X)))&
(![X]:((~curious(X)|old(X))=>(~generous(X)|wise(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(brave(X)|funny(X))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&strong(X)))))&
(![X]:((~creative(X)&quiet(X))<=>~... | old(susan) | [] | null | 0 |
Everyone who is strong or not kind is old.
If mary is either not brave or not quiet then someone is both not patient and not curious and vice versa.
Everyone who is not funny or not kind is creative.
Everyone who is both not rich and not tall is both curious and not wise and vice versa.
If someone is both quiet and kin... | John is not happy. | contradiction | (![X]:((strong(X)|~kind(X))=>old(X)))&
(((~brave(mary)<~>~quiet(mary)))<=>(?[X]:((~patient(X)&~curious(X)))))&
(![X]:((~funny(X)|~kind(X))=>creative(X)))&
(![X]:((~rich(X)&~tall(X))<=>(curious(X)&~wise(X))))&
((?[X]:((quiet(X)&kind(X))))<=>(?[X]:((brave(X)<~>creative(X)))))&
((?[X]:((~curious(X)|brave(X))))<=>(?[X]:((c... | ~happy(john) | [
"p0",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 908740272322932137667744
% SZS output start Proof for 908740272322932137667744
1. ! [X0] : ((~kind(X0) | strong(X0)) => old(X0)) [input p0]
11. ! [X0] : (humble(X0) <=> (quiet(X0) & ~old(X0))) [input p10]
16. ? [X0] : (~happy(X0) | calm(X0)) <=> ? [X0] : (~kind(X0) & humble(X0)) [input p1... | 0 |
Everyone who is not rich is either not old or rich and vice versa. Everyone who is either patient or not old is not curious or old and vice versa. If someone is not strong then john is not rich and vice versa. Everyone who is not kind is either not quiet or not kind and vice versa. Everyone who is either generous or fu... | John is brave. | neutral | (![X]:(~rich(X)<=>(~old(X)<~>rich(X))))&
(![X]:((patient(X)<~>~old(X))<=>(~curious(X)|old(X))))&
((?[X]:(~strong(X)))<=>(~rich(john)))&
(![X]:(~kind(X)<=>(~quiet(X)<~>~kind(X))))&
(![X]:((generous(X)<~>funny(X))=>(~brave(X)&~rich(X))))&
((~rich(alice))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((funny(X)<~>~curious(X))... | brave(john) | [] | null | 0 |
Everyone who is strong or not rich is both old and calm and vice versa. If mary is not curious then someone is either not tall or kind and vice versa. If john is either not strong or strong then alice is curious. Everyone who is both not patient and generous is not calm or not generous. If john is both creative and ric... | Lucy is not funny. | contradiction | (![X]:((strong(X)|~rich(X))<=>(old(X)&calm(X))))&
((~curious(mary))<=>(?[X]:((~tall(X)<~>kind(X)))))&
(((~strong(john)<~>strong(john)))=>(curious(alice)))&
(![X]:((~patient(X)&generous(X))=>(~calm(X)|~generous(X))))&
(((creative(john)&rich(john)))<=>(?[X]:((~generous(X)|~tall(X)))))&
((?[X]:((curious(X)<~>~brave(X))))<... | ~funny(lucy) | [
"p0",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 153005367038559047182608
% SZS output start Proof for 153005367038559047182608
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> (calm(X0) & old(X0))) [input p0]
14. ! [X0] : ((~strong(X0) & funny(X0)) <=> (happy(X0) | ~strong(X0))) [input p13]
16. ! [X0] : ((calm(X0) | ~rich(X0)) => (humble(X0) ... | 0 |
If someone is humble then someone is either not funny or patient and vice versa. Everyone who is not rich is not funny or generous and vice versa. Everyone who is not funny is happy or not quiet and vice versa. If someone is not humble or not quiet then susan is both strong and rich. Everyone who is tall or creative is... | Susan is kind. | contradiction | ((?[X]:(humble(X)))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:(~rich(X)<=>(~funny(X)|generous(X))))&
(![X]:(~funny(X)<=>(happy(X)|~quiet(X))))&
((?[X]:((~humble(X)|~quiet(X))))=>((strong(susan)&rich(susan))))&
(![X]:((tall(X)|creative(X))=>(patient(X)|~humble(X))))&
(![X]:((curious(X)|kind(X))=>(~calm(X)<~>rich(X))))... | kind(susan) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 329450806262544251654875
% SZS output start Proof for 329450806262544251654875
13. (humble(john) & ~calm(john)) <=> ? [X0] : (tall(X0) | ~humble(X0)) [input p12]
16. ? [X0] : (rich(X0) | humble(X0)) => ~kind(susan) [input p15]
24. kind(susan) [input hypothesis]
36. ~kind(susan) | ! [X0] :... | 0 |
If lucy is calm then someone is wise or tall and vice versa.
If susan is not funny or not calm then lucy is wise or not funny and vice versa.
Everyone who is not calm is both not tall and not patient.
If lucy is either funny or not funny then someone is either not brave or not creative and vice versa.
If someone is eit... | Susan is humble. | neutral | ((calm(lucy))<=>(?[X]:((wise(X)|tall(X)))))&
(((~funny(susan)|~calm(susan)))<=>((wise(lucy)|~funny(lucy))))&
(![X]:(~calm(X)=>(~tall(X)&~patient(X))))&
(((funny(lucy)<~>~funny(lucy)))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~brave(X)<~>kind(X))))=>(~generous(john)))&
(![X]:((curious(X)<~>~brave(X))=>(quiet(X)&... | humble(susan) | [] | null | 0 |
Everyone who is either not generous or not kind is both creative and not kind and vice versa.
Everyone who is either humble or not generous is either not tall or funny and vice versa.
If lucy is either humble or generous then someone is not creative.
Everyone who is rich or not rich is not brave and vice versa.
If some... | Lucy is quiet. | neutral | (![X]:((~generous(X)<~>~kind(X))<=>(creative(X)&~kind(X))))&
(![X]:((humble(X)<~>~generous(X))<=>(~tall(X)<~>funny(X))))&
(((humble(lucy)<~>generous(lucy)))=>(?[X]:(~creative(X))))&
(![X]:((rich(X)|~rich(X))<=>~brave(X)))&
((?[X]:((kind(X)&~old(X))))<=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((old(X)|humble(X))=>(~genero... | quiet(lucy) | [] | null | 0 |
Everyone who is not strong or generous is quiet and vice versa.
Everyone who is both not happy and tall is not wise and vice versa.
Everyone who is funny or humble is either generous or not calm.
Everyone who is not curious is either not happy or not rich and vice versa.
If someone is old or not old then someone is not... | Susan is quiet. | neutral | (![X]:((~strong(X)|generous(X))<=>quiet(X)))&
(![X]:((~happy(X)&tall(X))<=>~wise(X)))&
(![X]:((funny(X)|humble(X))=>(generous(X)<~>~calm(X))))&
(![X]:(~curious(X)<=>(~happy(X)<~>~rich(X))))&
((?[X]:((old(X)|~old(X))))=>(?[X]:((~rich(X)|tall(X)))))&
((~wise(mary))=>(?[X]:((~rich(X)|~creative(X)))))&
(((~wise(mary)&tall(... | quiet(susan) | [] | null | 0 |
Everyone who is both not creative and not old is not quiet or humble and vice versa.
Everyone who is not strong or wise is not brave.
If lucy is not humble or not old then mary is both brave and kind and vice versa.
Everyone who is either not calm or calm is both not creative and not old and vice versa.
If someone is b... | Mary is not calm. | contradiction | (![X]:((~creative(X)&~old(X))<=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|wise(X))=>~brave(X)))&
(((~humble(lucy)|~old(lucy)))<=>((brave(mary)&kind(mary))))&
(![X]:((~calm(X)<~>calm(X))<=>(~creative(X)&~old(X))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~quiet(X)<~>~creative(X)))))&
(![X]:((~quiet(X)&~humble(X))=>(~... | ~calm(mary) | [
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6057368994689009358281750
% SZS output start Proof for 6057368994689009358281750
4. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (~old(X0) & ~creative(X0))) [input p3]
13. ! [X0] : ((curious(X0) | patient(X0)) <=> (~old(X0) & creative(X0))) [input p12]
14. ! [X0] : ((~quiet(X0) | ~calm(X0)) => ... | 0 |
Everyone who is not creative or not calm is not patient. Everyone who is humble or quiet is both tall and calm. Everyone who is both not old and happy is both funny and humble. If lucy is not strong or not curious then fred is either not wise or not generous. If susan is either generous or not tall then someone is not ... | Susan is strong. | neutral | (![X]:((~creative(X)|~calm(X))=>~patient(X)))&
(![X]:((humble(X)|quiet(X))=>(tall(X)&calm(X))))&
(![X]:((~old(X)&happy(X))=>(funny(X)&humble(X))))&
(((~strong(lucy)|~curious(lucy)))=>((~wise(fred)<~>~generous(fred))))&
(((generous(susan)<~>~tall(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:(old(X)<=>(~generous(X)<~>... | strong(susan) | [] | null | 0 |
Everyone who is brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both kind and strong and vice versa.
If someone is not brave or funny then someone is not brave.
If mary is not strong or strong then john is calm or generous.
Everyone who is both not happy and tall i... | John is humble. | entailment | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))=>(?[X]:(~brave(X))))&
(((~strong(mary)|strong(mary)))=>((calm(john)|generous(john))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(!... | humble(john) | [
"p1",
"p6",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5791679587534723393536245
% SZS output start Proof for 5791679587534723393536245
2. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> (strong(X0) & kind(X0))) [input p1]
7. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p6]
9. ! [X0] : ((wise(X0) & generous(X0)) <=> ~humble(X0)) [... | 0 |
If someone is not generous then someone is not strong.
Everyone who is not funny is either calm or not kind.
If someone is both not calm and rich then john is funny or calm and vice versa.
Everyone who is not brave is both quiet and not funny.
If someone is either not brave or not rich then alice is creative or not gen... | Fred is not rich. | neutral | ((?[X]:(~generous(X)))=>(?[X]:(~strong(X))))&
(![X]:(~funny(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((~calm(X)&rich(X))))<=>((funny(john)|calm(john))))&
(![X]:(~brave(X)=>(quiet(X)&~funny(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>((creative(alice)|~generous(alice))))&
(![X]:(~old(X)=>(calm(X)|quiet(X))))&
((?[X]:((~kind(X)|... | ~rich(fred) | [] | null | 0 |
Everyone who is both rich and funny is rich or happy. If john is both generous and strong then someone is not old and vice versa. Everyone who is either not happy or not strong is brave and vice versa. Everyone who is old or creative is either not wise or generous and vice versa. Everyone who is wise is happy or not ol... | John is not humble. | entailment | (![X]:((rich(X)&funny(X))=>(rich(X)|happy(X))))&
(((generous(john)&strong(john)))<=>(?[X]:(~old(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>brave(X)))&
(![X]:((old(X)|creative(X))<=>(~wise(X)<~>generous(X))))&
(![X]:(wise(X)=>(happy(X)|~old(X))))&
(![X]:((~patient(X)<~>quiet(X))=>calm(X)))&
(![X]:((kind(X)|old(X))<=>(~tal... | ~humble(john) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 221011950324342776698528
% SZS output start Proof for 221011950324342776698528
2. (strong(john) & generous(john)) <=> ? [X0] : ~old(X0) [input p1]
4. ! [X0] : ((creative(X0) | old(X0)) <=> (~wise(X0) <~> generous(X0))) [input p3]
7. ! [X0] : ((old(X0) | kind(X0)) <=> (~funny(X0) & ~tall(X... | 0 |
Everyone who is both quiet and funny is either not rich or funny and vice versa.
If someone is strong or happy then someone is not curious or creative and vice versa.
If mary is generous or happy then someone is rich or not old and vice versa.
If someone is not tall or funny then mary is not creative.
If alice is kind ... | Paul is humble. | contradiction | (![X]:((quiet(X)&funny(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:((strong(X)|happy(X))))<=>(?[X]:((~curious(X)|creative(X)))))&
(((generous(mary)|happy(mary)))<=>(?[X]:((rich(X)|~old(X)))))&
((?[X]:((~tall(X)|funny(X))))=>(~creative(mary)))&
(((kind(alice)|~patient(alice)))<=>((curious(mary)<~>~tall(mary))))&
(((~quiet(sus... | humble(paul) | [
"p0",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1766129711928400602640004
% SZS output start Proof for 1766129711928400602640004
1. ! [X0] : ((funny(X0) & quiet(X0)) <=> (~rich(X0) <~> funny(X0))) [input p0]
8. ? [X0] : (~brave(X0) | humble(X0)) => ? [X0] : (rich(X0) & ~quiet(X0)) [input p7]
9. ! [X0] : ((~rich(X0) <~> ~funny(X0)) => f... | 0 |
Everyone who is both not rich and not generous is either quiet or not tall and vice versa.
If someone is both not funny and curious then someone is both quiet and not humble and vice versa.
If fred is either strong or not creative then someone is patient or creative.
If susan is both not brave and wise then someone is ... | Paul is not brave. | neutral | (![X]:((~rich(X)&~generous(X))<=>(quiet(X)<~>~tall(X))))&
((?[X]:((~funny(X)&curious(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((strong(fred)<~>~creative(fred)))=>(?[X]:((patient(X)|creative(X)))))&
(((~brave(susan)&wise(susan)))=>(?[X]:(calm(X))))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)&curious(X))))&
(((~quiet(fre... | ~brave(paul) | [] | null | 0 |
If lucy is either funny or not rich then susan is both calm and brave. If someone is wise then someone is rich or not strong. Everyone who is not strong is both not tall and generous and vice versa. Everyone who is both not funny and rich is not curious or not patient and vice versa. Everyone who is not tall or not hum... | Alice is not generous. | entailment | (((funny(lucy)<~>~rich(lucy)))=>((calm(susan)&brave(susan))))&
((?[X]:(wise(X)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(~strong(X)<=>(~tall(X)&generous(X))))&
(![X]:((~funny(X)&rich(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&~rich(X))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:(humble(X)... | ~generous(alice) | [
"p4",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6187679764539277750705203
% SZS output start Proof for 6187679764539277750705203
5. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~rich(X0) & ~generous(X0))) [input p4]
8. ! [X0] : (generous(X0) <=> (rich(X0) & old(X0))) [input p7]
10. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> brave(X0)) [input p... | 0 |
Everyone who is either quiet or tall is both not strong and wise.
Everyone who is kind or strong is either not tall or not quiet.
Everyone who is rich or not patient is either not generous or quiet and vice versa.
Everyone who is either tall or not creative is strong or patient and vice versa.
Everyone who is either no... | Paul is funny. | entailment | (![X]:((quiet(X)<~>tall(X))=>(~strong(X)&wise(X))))&
(![X]:((kind(X)|strong(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((rich(X)|~patient(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(strong(X)|patient(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>kind(X)))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((wise(X)&~... | funny(paul) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8290171064715544053356918
% SZS output start Proof for 8290171064715544053356918
7. ! [X0] : ((~funny(X0) <~> old(X0)) <=> (patient(X0) & old(X0))) [input p6]
9. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (patient(X0) & creative(X0))) [input p8]
23. ~funny(paul) [input hypothesis]
46. ! [X... | 0 |
Everyone who is quiet or strong is either humble or happy.
Everyone who is both funny and generous is not patient.
Everyone who is not strong or brave is not strong or quiet.
Everyone who is either not old or not rich is both strong and patient and vice versa.
Everyone who is not creative or not calm is both rich and t... | Fred is tall. | entailment | (![X]:((quiet(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:((funny(X)&generous(X))=>~patient(X)))&
(![X]:((~strong(X)|brave(X))=>(~strong(X)|quiet(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(strong(X)&patient(X))))&
(![X]:((~creative(X)|~calm(X))=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|stro... | tall(fred) | [
"p2",
"p6",
"p9",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2492268794196059207868977
% SZS output start Proof for 2492268794196059207868977
3. ! [X0] : ((brave(X0) | ~strong(X0)) => (quiet(X0) | ~strong(X0))) [input p2]
7. ! [X0] : (rich(X0) => (~quiet(X0) | tall(X0))) [input p6]
10. ! [X0] : ((happy(X0) & ~curious(X0)) => (wise(X0) | tall(X0))) ... | 0 |
Everyone who is not quiet is strong or not rich.
If someone is either happy or not brave then someone is both not curious and rich.
Everyone who is happy is not happy or not funny.
Everyone who is either not patient or not happy is rich.
If someone is both not rich and calm then lucy is not calm or happy and vice versa... | Alice is humble. | neutral | (![X]:(~quiet(X)=>(strong(X)|~rich(X))))&
((?[X]:((happy(X)<~>~brave(X))))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:(happy(X)=>(~happy(X)|~funny(X))))&
(![X]:((~patient(X)<~>~happy(X))=>rich(X)))&
((?[X]:((~rich(X)&calm(X))))<=>((~calm(lucy)|happy(lucy))))&
(![X]:((~wise(X)&~curious(X))<=>(old(X)<~>wise(X))))&
(![X]:((~... | humble(alice) | [] | null | 0 |
Everyone who is both tall and not tall is not curious or not old.
Everyone who is either funny or not happy is patient.
If someone is humble then john is either old or curious.
Everyone who is kind is not rich.
Everyone who is not old or not kind is rich or not humble and vice versa.
Everyone who is patient is both cre... | Fred is not strong. | neutral | (![X]:((tall(X)&~tall(X))=>(~curious(X)|~old(X))))&
(![X]:((funny(X)<~>~happy(X))=>patient(X)))&
((?[X]:(humble(X)))=>((old(john)<~>curious(john))))&
(![X]:(kind(X)=>~rich(X)))&
(![X]:((~old(X)|~kind(X))<=>(rich(X)|~humble(X))))&
(![X]:(patient(X)<=>(creative(X)&patient(X))))&
((~generous(fred))=>(?[X]:(~kind(X))))&
(!... | ~strong(fred) | [] | null | 0 |
Everyone who is either not generous or not rich is not wise and vice versa.
Everyone who is not kind is either not happy or curious and vice versa.
If someone is wise then someone is not funny or not quiet and vice versa.
Everyone who is not calm is not wise and vice versa.
Everyone who is quiet is both not tall and ha... | John is not calm. | entailment | (![X]:((~generous(X)<~>~rich(X))<=>~wise(X)))&
(![X]:(~kind(X)<=>(~happy(X)<~>curious(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~funny(X)|~quiet(X)))))&
(![X]:(~calm(X)<=>~wise(X)))&
(![X]:(quiet(X)=>(~tall(X)&happy(X))))&
((?[X]:((brave(X)<~>~kind(X))))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((calm(X)<~>creative(X))=>~k... | ~calm(john) | [
"p0",
"p3",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4266668138258167765872092
% SZS output start Proof for 4266668138258167765872092
1. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> ~wise(X0)) [input p0]
4. ! [X0] : (~calm(X0) <=> ~wise(X0)) [input p3]
15. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (brave(X0) | strong(X0))) [input p14]
16. ! [X0]... | 0 |
If john is not quiet or happy then someone is brave or old. Everyone who is not creative is both not happy and happy and vice versa. If someone is either not humble or not curious then paul is either brave or not humble. Everyone who is not generous or not patient is not calm. Everyone who is generous or not curious is... | Susan is not tall. | neutral | (((~quiet(john)|happy(john)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:(~creative(X)<=>(~happy(X)&happy(X))))&
((?[X]:((~humble(X)<~>~curious(X))))=>((brave(paul)<~>~humble(paul))))&
(![X]:((~generous(X)|~patient(X))=>~calm(X)))&
(![X]:((generous(X)|~curious(X))<=>(happy(X)&~creative(X))))&
(((~happy(john)|~brave(john)))=>(... | ~tall(susan) | [] | null | 0 |
If someone is not calm then mary is either old or rich and vice versa.
Everyone who is both patient and wise is generous and vice versa.
If paul is either brave or quiet then someone is not creative or tall and vice versa.
If fred is strong then paul is not funny.
Everyone who is both not kind and rich is humble or not... | John is not rich. | contradiction | ((?[X]:(~calm(X)))<=>((old(mary)<~>rich(mary))))&
(![X]:((patient(X)&wise(X))<=>generous(X)))&
(((brave(paul)<~>quiet(paul)))<=>(?[X]:((~creative(X)|tall(X)))))&
((strong(fred))=>(~funny(paul)))&
(![X]:((~kind(X)&rich(X))<=>(humble(X)|~humble(X))))&
(![X]:((~strong(X)&humble(X))=>rich(X)))&
(((~quiet(fred)<~>~funny(fre... | ~rich(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3706004904797461004954648
% SZS output start Proof for 3706004904797461004954648
5. ! [X0] : ((rich(X0) & ~kind(X0)) <=> (~humble(X0) | humble(X0))) [input p4]
25. ~rich(john) [input hypothesis]
48. ! [X0] : (((rich(X0) & ~kind(X0)) | (humble(X0) & ~humble(X0))) & ((~humble(X0) | humble(X... | 0 |
If someone is patient or strong then someone is not wise. If someone is generous then someone is either not funny or not patient and vice versa. If alice is both strong and old then someone is both humble and not rich. If someone is rich or not quiet then someone is not rich or not old and vice versa. If someone is bot... | Lucy is not tall. | neutral | ((?[X]:((patient(X)|strong(X))))=>(?[X]:(~wise(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~funny(X)<~>~patient(X)))))&
(((strong(alice)&old(alice)))=>(?[X]:((humble(X)&~rich(X)))))&
((?[X]:((rich(X)|~quiet(X))))<=>(?[X]:((~rich(X)|~old(X)))))&
((?[X]:((tall(X)&generous(X))))=>(?[X]:((~calm(X)|generous(X)))))&
(![X]:(humble... | ~tall(lucy) | [] | null | 0 |
If mary is not strong or not old then someone is not quiet and vice versa.
Everyone who is wise or kind is curious and vice versa.
If someone is both calm and tall then someone is both patient and not strong and vice versa.
If someone is funny or not brave then fred is not rich or strong and vice versa.
Everyone who is... | Lucy is quiet. | neutral | (((~strong(mary)|~old(mary)))<=>(?[X]:(~quiet(X))))&
(![X]:((wise(X)|kind(X))<=>curious(X)))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((patient(X)&~strong(X)))))&
((?[X]:((funny(X)|~brave(X))))<=>((~rich(fred)|strong(fred))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(strong(X)|creat... | quiet(lucy) | [] | null | 0 |
If someone is both happy and not brave then someone is either generous or tall and vice versa.
Everyone who is calm or not happy is both quiet and not quiet.
If alice is both tall and not wise then john is not creative.
If someone is both not humble and not generous then lucy is either not generous or not happy.
If som... | Lucy is not calm. | entailment | ((?[X]:((happy(X)&~brave(X))))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((calm(X)|~happy(X))=>(quiet(X)&~quiet(X))))&
(((tall(alice)&~wise(alice)))=>(~creative(john)))&
((?[X]:((~humble(X)&~generous(X))))=>((~generous(lucy)<~>~happy(lucy))))&
((?[X]:(quiet(X)))=>(?[X]:(strong(X))))&
((?[X]:((curious(X)<~>quiet(X))))<... | ~calm(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9134630055938220777461333
% SZS output start Proof for 9134630055938220777461333
2. ! [X0] : ((~happy(X0) | calm(X0)) => (~quiet(X0) & quiet(X0))) [input p1]
25. calm(lucy) [input hypothesis]
31. ! [X0] : ((~quiet(X0) & quiet(X0)) | (happy(X0) & ~calm(X0))) [ennf transformation 2]
105. qu... | 0 |
If john is both not kind and not rich then mary is either creative or happy and vice versa.
Everyone who is not happy is calm or not calm.
If paul is both patient and not calm then someone is tall or generous and vice versa.
Everyone who is either wise or not funny is both not happy and funny and vice versa.
If someone... | Fred is strong. | neutral | (((~kind(john)&~rich(john)))<=>((creative(mary)<~>happy(mary))))&
(![X]:(~happy(X)=>(calm(X)|~calm(X))))&
(((patient(paul)&~calm(paul)))<=>(?[X]:((tall(X)|generous(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>(~happy(X)&funny(X))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:(~strong(X)<=>(funny(... | strong(fred) | [] | null | 0 |
Everyone who is not happy or not curious is either calm or wise.
If someone is either creative or not brave then someone is calm or not generous.
Everyone who is either creative or kind is not old.
Everyone who is generous is either not calm or wise and vice versa.
Everyone who is wise or not humble is not brave or fun... | Fred is not humble. | neutral | (![X]:((~happy(X)|~curious(X))=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((creative(X)<~>kind(X))=>~old(X)))&
(![X]:(generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((wise(X)|~humble(X))<=>(~brave(X)|funny(X))))&
(![X]:((~quiet(X)|wise(X))<=>(calm(X)&~curious(X))))... | ~humble(fred) | [] | null | 0 |
Everyone who is either brave or tall is either kind or creative.
If someone is not tall then paul is either not funny or not quiet.
Everyone who is not tall or happy is either not quiet or patient.
Everyone who is both tall and brave is old or rich and vice versa.
If mary is both not funny and not brave then lucy is cr... | Lucy is not funny. | entailment | (![X]:((brave(X)<~>tall(X))=>(kind(X)<~>creative(X))))&
((?[X]:(~tall(X)))=>((~funny(paul)<~>~quiet(paul))))&
(![X]:((~tall(X)|happy(X))=>(~quiet(X)<~>patient(X))))&
(![X]:((tall(X)&brave(X))<=>(old(X)|rich(X))))&
(((~funny(mary)&~brave(mary)))<=>((creative(lucy)|~humble(lucy))))&
(![X]:((~strong(X)<~>strong(X))<=>(~fu... | ~funny(lucy) | [
"p5",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8625214256736726575258092
% SZS output start Proof for 8625214256736726575258092
6. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (patient(X0) | ~funny(X0))) [input p5]
11. ! [X0] : ((strong(X0) | ~tall(X0)) <=> ~patient(X0)) [input p10]
16. ! [X0] : ((strong(X0) <~> ~generous(X0)) <=> (~fun... | 0 |
If lucy is both not wise and not calm then someone is both not funny and not patient. Everyone who is rich is either strong or creative and vice versa. Everyone who is either humble or patient is either quiet or not curious and vice versa. If someone is either not humble or tall then john is quiet and vice versa. Every... | Susan is strong. | neutral | (((~wise(lucy)&~calm(lucy)))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:(rich(X)<=>(strong(X)<~>creative(X))))&
(![X]:((humble(X)<~>patient(X))<=>(quiet(X)<~>~curious(X))))&
((?[X]:((~humble(X)<~>tall(X))))<=>(quiet(john)))&
(![X]:(~funny(X)<=>(~humble(X)|~rich(X))))&
(![X]:((kind(X)|~generous(X))<=>(creative(X)&~funny(... | strong(susan) | [] | null | 0 |
If someone is either not kind or strong then someone is not generous or not strong and vice versa. Everyone who is both humble and not creative is both not quiet and not generous and vice versa. Everyone who is either happy or strong is either not kind or not humble and vice versa. Everyone who is kind or not tall is e... | Susan is strong. | entailment | ((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((~generous(X)|~strong(X)))))&
(![X]:((humble(X)&~creative(X))<=>(~quiet(X)&~generous(X))))&
(![X]:((happy(X)<~>strong(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)<~>rich(X))))&
(((~rich(mary)|wise(mary)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
(![X]:((quiet... | strong(susan) | [
"p1",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1891547131981302055774954
% SZS output start Proof for 1891547131981302055774954
2. ! [X0] : ((~creative(X0) & humble(X0)) <=> (~generous(X0) & ~quiet(X0))) [input p1]
9. ! [X0] : ((brave(X0) | ~generous(X0)) <=> (~quiet(X0) & tall(X0))) [input p8]
13. ! [X0] : (generous(X0) <=> brave(X0)... | 0 |
Everyone who is calm or not curious is both not humble and wise and vice versa.
Everyone who is generous is quiet or not patient.
Everyone who is both humble and funny is rich.
If alice is both funny and tall then someone is curious and vice versa.
If susan is not happy or creative then someone is humble.
If someone is... | Alice is brave. | contradiction | (![X]:((calm(X)|~curious(X))<=>(~humble(X)&wise(X))))&
(![X]:(generous(X)=>(quiet(X)|~patient(X))))&
(![X]:((humble(X)&funny(X))=>rich(X)))&
(((funny(alice)&tall(alice)))<=>(?[X]:(curious(X))))&
(((~happy(susan)|creative(susan)))=>(?[X]:(humble(X))))&
((?[X]:((~creative(X)&curious(X))))=>((~creative(mary)|happy(mary)))... | brave(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7163272192208896821978337
% SZS output start Proof for 7163272192208896821978337
13. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> ~brave(X0)) [input p12]
24. brave(alice) [input hypothesis]
64. ! [X0] : ((((patient(X0) | ~patient(X0)) & (~patient(X0) | patient(X0))) | brave(X0)) & (~brave... | 0 |
If paul is both creative and wise then someone is either wise or not humble and vice versa.
Everyone who is both patient and not old is rich or not patient.
Everyone who is quiet or not generous is either not humble or tall.
If someone is either curious or funny then fred is quiet.
If lucy is both not tall and not humb... | Fred is not rich. | neutral | (((creative(paul)&wise(paul)))<=>(?[X]:((wise(X)<~>~humble(X)))))&
(![X]:((patient(X)&~old(X))=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>(~humble(X)<~>tall(X))))&
((?[X]:((curious(X)<~>funny(X))))=>(quiet(fred)))&
(((~tall(lucy)&~humble(lucy)))<=>(?[X]:((calm(X)|~curious(X)))))&
((?[X]:((funny(X)&kind(X... | ~rich(fred) | [] | null | 0 |
Everyone who is not happy or not creative is not curious or not strong and vice versa. If lucy is either happy or not brave then lucy is either not kind or generous and vice versa. Everyone who is old is both strong and kind and vice versa. Everyone who is both not strong and tall is patient or not strong and vice vers... | Lucy is not wise. | entailment | (![X]:((~happy(X)|~creative(X))<=>(~curious(X)|~strong(X))))&
(((happy(lucy)<~>~brave(lucy)))<=>((~kind(lucy)<~>generous(lucy))))&
(![X]:(old(X)<=>(strong(X)&kind(X))))&
(![X]:((~strong(X)&tall(X))<=>(patient(X)|~strong(X))))&
((?[X]:(strong(X)))=>((~quiet(mary)&curious(mary))))&
(((funny(paul)&~brave(paul)))=>((~creat... | ~wise(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5352247694277409035961435
% SZS output start Proof for 5352247694277409035961435
1. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (~strong(X0) | ~curious(X0))) [input p0]
3. ! [X0] : (old(X0) <=> (kind(X0) & strong(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~strong(X0)) <=> (~strong(X0) | pat... | 0 |
Everyone who is not wise is both calm and creative and vice versa.
If someone is both not funny and curious then alice is both not calm and not generous and vice versa.
Everyone who is not curious or not quiet is either wise or not strong.
Everyone who is not strong or tall is not humble or generous.
Everyone who is no... | Mary is not wise. | contradiction | (![X]:(~wise(X)<=>(calm(X)&creative(X))))&
((?[X]:((~funny(X)&curious(X))))<=>((~calm(alice)&~generous(alice))))&
(![X]:((~curious(X)|~quiet(X))=>(wise(X)<~>~strong(X))))&
(![X]:((~strong(X)|tall(X))=>(~humble(X)|generous(X))))&
(![X]:((~kind(X)|~calm(X))<=>(~happy(X)&~funny(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(brave... | ~wise(mary) | [
"p0",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6120586038601516485401993
% SZS output start Proof for 6120586038601516485401993
1. ! [X0] : (~wise(X0) <=> (creative(X0) & calm(X0))) [input p0]
6. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> (brave(X0) <~> ~rich(X0))) [input p5]
8. ! [X0] : ((humble(X0) | strong(X0)) => (~rich(X0) | ~humble... | 0 |
Everyone who is either not quiet or tall is either brave or calm.
If someone is not generous or not humble then someone is calm and vice versa.
Everyone who is brave or patient is old or not calm and vice versa.
Everyone who is both patient and rich is tall.
If someone is either not wise or not old then someone is stro... | Alice is strong. | neutral | (![X]:((~quiet(X)<~>tall(X))=>(brave(X)<~>calm(X))))&
((?[X]:((~generous(X)|~humble(X))))<=>(?[X]:(calm(X))))&
(![X]:((brave(X)|patient(X))<=>(old(X)|~calm(X))))&
(![X]:((patient(X)&rich(X))=>tall(X)))&
((?[X]:((~wise(X)<~>~old(X))))=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((funny(X)|rich(X))))<=>(?[X]:((humble(X)&~pa... | strong(alice) | [] | null | 0 |
If susan is not generous then someone is either happy or wise.
Everyone who is rich is tall.
Everyone who is not generous or not quiet is both kind and not tall and vice versa.
If someone is both tall and rich then susan is both creative and not kind and vice versa.
Everyone who is not happy or generous is happy and vi... | Mary is not patient. | entailment | ((~generous(susan))=>(?[X]:((happy(X)<~>wise(X)))))&
(![X]:(rich(X)=>tall(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(kind(X)&~tall(X))))&
((?[X]:((tall(X)&rich(X))))<=>((creative(susan)&~kind(susan))))&
(![X]:((~happy(X)|generous(X))<=>happy(X)))&
((?[X]:((~kind(X)<~>curious(X))))<=>(?[X]:(~generous(X))))&
((~brave(john)... | ~patient(mary) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 63695257100428734429723
% SZS output start Proof for 63695257100428734429723
3. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~tall(X0) & kind(X0))) [input p2]
5. ! [X0] : ((generous(X0) | ~happy(X0)) <=> happy(X0)) [input p4]
8. ! [X0] : ((wise(X0) <~> happy(X0)) <=> ~patient(X0)) [input p... | 0 |
Everyone who is not creative is not rich or creative and vice versa.
If paul is not brave then someone is curious.
Everyone who is either tall or not quiet is not strong or not old.
Everyone who is either not humble or happy is tall or old.
Everyone who is generous is strong or not tall and vice versa.
If mary is eithe... | Fred is not happy. | entailment | (![X]:(~creative(X)<=>(~rich(X)|creative(X))))&
((~brave(paul))=>(?[X]:(curious(X))))&
(![X]:((tall(X)<~>~quiet(X))=>(~strong(X)|~old(X))))&
(![X]:((~humble(X)<~>happy(X))=>(tall(X)|old(X))))&
(![X]:(generous(X)<=>(strong(X)|~tall(X))))&
(((~happy(mary)<~>~kind(mary)))<=>(?[X]:((~wise(X)|~happy(X)))))&
(![X]:(patient(X... | ~happy(fred) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3392211288008823722760715
% SZS output start Proof for 3392211288008823722760715
7. ! [X0] : (patient(X0) <=> (happy(X0) | tall(X0))) [input p6]
24. calm(fred) & ~patient(fred) [input p23]
25. happy(fred) [input hypothesis]
51. ! [X0] : ((patient(X0) | (~happy(X0) & ~tall(X0))) & ((happy(... | 0 |
Everyone who is both not creative and curious is curious.
If john is both not strong and not funny then someone is both not curious and not happy and vice versa.
If someone is not patient then someone is either not creative or creative.
If john is rich then someone is strong or not happy.
Everyone who is generous is no... | John is not generous. | neutral | (![X]:((~creative(X)&curious(X))=>curious(X)))&
(((~strong(john)&~funny(john)))<=>(?[X]:((~curious(X)&~happy(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~creative(X)<~>creative(X)))))&
((rich(john))=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(generous(X)<=>(~humble(X)|happy(X))))&
(![X]:((~generous(X)|~patient(X))=>(~curious(X... | ~generous(john) | [] | null | 0 |
Everyone who is both not funny and strong is both not wise and not quiet. Everyone who is both tall and wise is either not brave or tall. If someone is either not generous or tall then someone is brave or funny and vice versa. Everyone who is not patient is not creative. Everyone who is creative is both not happy and n... | Fred is funny. | entailment | (![X]:((~funny(X)&strong(X))=>(~wise(X)&~quiet(X))))&
(![X]:((tall(X)&wise(X))=>(~brave(X)<~>tall(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=>(?[X]:((brave(X)|funny(X)))))&
(![X]:(~patient(X)=>~creative(X)))&
(![X]:(creative(X)=>(~happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>strong(X))))<=>((strong(paul)|patient(paul))))&... | funny(fred) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3265013503971704995520730
% SZS output start Proof for 3265013503971704995520730
7. ! [X0] : ((~funny(X0) | patient(X0)) <=> quiet(X0)) [input p6]
11. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~quiet(X0)) [input p10]
22. ~funny(fred) [input hypothesis]
51. ! [X0] : (((~funny(X0) | patient(X0)... | 0 |
Everyone who is not quiet or not patient is not happy and vice versa. Everyone who is not curious or not calm is not brave. Everyone who is either humble or not patient is both not rich and old. If someone is both not quiet and rich then someone is humble and vice versa. Everyone who is both not kind and not brave is r... | Mary is happy. | neutral | (![X]:((~quiet(X)|~patient(X))<=>~happy(X)))&
(![X]:((~curious(X)|~calm(X))=>~brave(X)))&
(![X]:((humble(X)<~>~patient(X))=>(~rich(X)&old(X))))&
((?[X]:((~quiet(X)&rich(X))))<=>(?[X]:(humble(X))))&
(![X]:((~kind(X)&~brave(X))=>rich(X)))&
((?[X]:((brave(X)<~>patient(X))))=>(?[X]:(~curious(X))))&
(![X]:((funny(X)&~kind(X... | happy(mary) | [] | null | 0 |
If someone is either not rich or patient then fred is happy or curious and vice versa.
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm... | Lucy is brave. | entailment | ((?[X]:((~rich(X)<~>patient(X))))<=>((happy(fred)|curious(fred))))&
(![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X)... | brave(lucy) | [
"p5",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 54624113244990466034671
% SZS output start Proof for 54624113244990466034671
6. ! [X0] : ((brave(X0) | ~funny(X0)) => (~calm(X0) & brave(X0))) [input p5]
7. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~tall(X0) <~... | 0 |
If someone is both kind and wise then alice is kind or curious.
Everyone who is either not creative or happy is both not curious and not generous.
If someone is either generous or rich then alice is humble.
If someone is wise then alice is curious or brave and vice versa.
Everyone who is both not rich and old is not ha... | Paul is kind. | entailment | ((?[X]:((kind(X)&wise(X))))=>((kind(alice)|curious(alice))))&
(![X]:((~creative(X)<~>happy(X))=>(~curious(X)&~generous(X))))&
((?[X]:((generous(X)<~>rich(X))))=>(humble(alice)))&
((?[X]:(wise(X)))<=>((curious(alice)|brave(alice))))&
(![X]:((~rich(X)&old(X))=>~happy(X)))&
(![X]:((funny(X)<~>brave(X))<=>(~kind(X)<~>rich(... | kind(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6601499347042338974302726
% SZS output start Proof for 6601499347042338974302726
23. kind(paul) & old(paul) [input p22]
25. ~kind(paul) [input hypothesis]
122. kind(paul) [cnf transformation 23]
124. ~kind(paul) [cnf transformation 25]
177. 12 <=> kind(paul) [avatar definition]
217. 12 [a... | 0 |
If john is both not humble and humble then someone is not calm and vice versa. Everyone who is both not brave and strong is either generous or not old. Everyone who is either strong or not brave is either not calm or happy and vice versa. Everyone who is both quiet and not creative is creative. Everyone who is both not... | Susan is not creative. | contradiction | (((~humble(john)&humble(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)&strong(X))=>(generous(X)<~>~old(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((quiet(X)&~creative(X))=>creative(X)))&
(![X]:((~humble(X)&wise(X))=>(brave(X)&patient(X))))&
((~happy(alice))<=>((rich(lucy)<~>~brave(lucy))))&... | ~creative(susan) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8162304771301038935467255
% SZS output start Proof for 8162304771301038935467255
1. (humble(john) & ~humble(john)) <=> ? [X0] : ~calm(X0) [input p0]
3. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> (~calm(X0) <~> happy(X0))) [input p2]
7. (~quiet(susan) & strong(susan)) <=> ? [X0] : (~kind(X0... | 0 |
If mary is both patient and creative then someone is old or curious.
Everyone who is not funny is both creative and not creative.
If someone is kind then someone is not kind or curious.
Everyone who is both not wise and quiet is both not quiet and not rich.
Everyone who is not rich or not happy is not happy or tall.
Ev... | Mary is not patient. | neutral | (((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X))))&
(![X]:((generous(X)|kind(X))=>(~kind(X)&creative(X... | ~patient(mary) | [] | null | 0 |
Everyone who is old is curious.
Everyone who is not happy is either humble or quiet and vice versa.
Everyone who is either rich or not wise is either not kind or kind.
If susan is not quiet then someone is both not generous and old and vice versa.
Everyone who is both not curious and creative is not patient.
Everyone w... | Paul is not quiet. | contradiction | (![X]:(old(X)=>curious(X)))&
(![X]:(~happy(X)<=>(humble(X)<~>quiet(X))))&
(![X]:((rich(X)<~>~wise(X))=>(~kind(X)<~>kind(X))))&
((~quiet(susan))<=>(?[X]:((~generous(X)&old(X)))))&
(![X]:((~curious(X)&creative(X))=>~patient(X)))&
(![X]:((~funny(X)<~>rich(X))<=>(~generous(X)|creative(X))))&
((?[X]:((tall(X)|happy(X))))<=>... | ~quiet(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7109409261213683154641598
% SZS output start Proof for 7109409261213683154641598
21. quiet(paul) & ~tall(paul) [input p20]
25. ~quiet(paul) [input hypothesis]
133. quiet(paul) [cnf transformation 21]
136. ~quiet(paul) [cnf transformation 25]
282. $false [subsumption resolution 136,133]
% ... | 0 |
If susan is not generous or kind then alice is patient or curious and vice versa. Everyone who is either not rich or not patient is generous. If someone is creative or not happy then someone is either not wise or curious and vice versa. If someone is not calm or not curious then someone is not tall or wise and vice ver... | Susan is kind. | contradiction | (((~generous(susan)|kind(susan)))<=>((patient(alice)|curious(alice))))&
(![X]:((~rich(X)<~>~patient(X))=>generous(X)))&
((?[X]:((creative(X)|~happy(X))))<=>(?[X]:((~wise(X)<~>curious(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong... | kind(susan) | [
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2368934423876558681631780
% SZS output start Proof for 2368934423876558681631780
11. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p10]
12. (calm(john) & happy(john)) <=> ? [X0] : (~rich(X0) | kind(X0)) [input p11]
15. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm... | 0 |
Everyone who is not calm is either humble or not quiet and vice versa.
If someone is either not quiet or humble then john is patient and vice versa.
If paul is either not funny or wise then someone is not curious and vice versa.
Everyone who is both not calm and generous is not strong and vice versa.
If fred is both no... | Fred is not generous. | contradiction | (![X]:(~calm(X)<=>(humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(patient(john)))&
(((~funny(paul)<~>wise(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~calm(X)&generous(X))<=>~strong(X)))&
(((~creative(fred)&~generous(fred)))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:(~wise(X)<=>(tall(X)|~creative(X))))&
(... | ~generous(fred) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 238078328659019319768583
% SZS output start Proof for 238078328659019319768583
8. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | old(X0)) => (~brave(X0) & curious(X0))) [input p9]
13. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~generous(X0) <~> ~... | 0 |
If someone is not rich or calm then alice is both tall and not kind.
Everyone who is both not old and not wise is either humble or tall and vice versa.
Everyone who is both generous and funny is not tall or not funny and vice versa.
Everyone who is not wise or generous is not funny or not quiet and vice versa.
Everyone... | Mary is wise. | neutral | ((?[X]:((~rich(X)|calm(X))))=>((tall(alice)&~kind(alice))))&
(![X]:((~old(X)&~wise(X))<=>(humble(X)<~>tall(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)|~funny(X))))&
(![X]:((~wise(X)|generous(X))<=>(~funny(X)|~quiet(X))))&
(![X]:(generous(X)=>(kind(X)&happy(X))))&
(![X]:((funny(X)&~calm(X))<=>(curious(X)<~>wise(X))... | wise(mary) | [] | null | 0 |
Everyone who is both humble and brave is either not tall or wise and vice versa. Everyone who is either brave or not happy is happy or old and vice versa. Everyone who is not tall or not kind is funny. If someone is both not calm and kind then someone is both not creative and strong. Everyone who is not rich or not kin... | Fred is kind. | entailment | (![X]:((humble(X)&brave(X))<=>(~tall(X)<~>wise(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(happy(X)|old(X))))&
(![X]:((~tall(X)|~kind(X))=>funny(X)))&
((?[X]:((~calm(X)&kind(X))))=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:((~rich(X)|~kind(X))=>(~strong(X)&~old(X))))&
(![X]:(~brave(X)=>(~old(X)<~>~humble(X))))&
(![X]:((gen... | kind(fred) | [
"p4",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6024182270056930579803272
% SZS output start Proof for 6024182270056930579803272
5. ! [X0] : ((~kind(X0) | ~rich(X0)) => (~old(X0) & ~strong(X0))) [input p4]
8. ! [X0] : ((~calm(X0) | ~strong(X0)) => (patient(X0) & quiet(X0))) [input p7]
13. ! [X0] : ((kind(X0) | quiet(X0)) => old(X0)) [i... | 0 |
Everyone who is both not creative and not curious is humble and vice versa.
If paul is both not calm and not strong then someone is either not patient or old and vice versa.
Everyone who is not calm is not old and vice versa.
Everyone who is not humble is either calm or old.
Everyone who is not generous or not quiet is... | John is not patient. | entailment | (![X]:((~creative(X)&~curious(X))<=>humble(X)))&
(((~calm(paul)&~strong(paul)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:(~humble(X)=>(calm(X)<~>old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)|~creative(X))=>(wise(X)&old(X))))&
((?[X]:((curious(X)... | ~patient(john) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5337965930906860809648960
% SZS output start Proof for 5337965930906860809648960
2. (~strong(paul) & ~calm(paul)) <=> ? [X0] : (~patient(X0) <~> old(X0)) [input p1]
6. ! [X0] : ((~creative(X0) | creative(X0)) => (old(X0) & wise(X0))) [input p5]
13. ! [X0] : (~strong(X0) => (~wise(X0) & ~b... | 0 |
If john is calm or old then someone is both humble and not kind.
If someone is both not strong and not kind then someone is either not happy or patient and vice versa.
Everyone who is both quiet and generous is either not curious or rich and vice versa.
If lucy is both not generous and old then someone is either tall o... | Mary is creative. | entailment | (((calm(john)|old(john)))=>(?[X]:((humble(X)&~kind(X)))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~happy(X)<~>patient(X)))))&
(![X]:((quiet(X)&generous(X))<=>(~curious(X)<~>rich(X))))&
(((~generous(lucy)&old(lucy)))<=>(?[X]:((tall(X)<~>patient(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>(strong(X)|~kind(X))))&
(![X]:... | creative(mary) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6303678406859539467543240
% SZS output start Proof for 6303678406859539467543240
3. ! [X0] : ((generous(X0) & quiet(X0)) <=> (~curious(X0) <~> rich(X0))) [input p2]
4. (old(lucy) & ~generous(lucy)) <=> ? [X0] : (tall(X0) <~> patient(X0)) [input p3]
5. ! [X0] : ((~generous(X0) <~> ~kind(X0... | 0 |
Everyone who is both not patient and wise is both wise and not old. If someone is either happy or not quiet then someone is either happy or not strong. If susan is both not quiet and creative then fred is either kind or not curious. If fred is not old then fred is either wise or calm. If john is both quiet and curious ... | Alice is not curious. | neutral | (![X]:((~patient(X)&wise(X))=>(wise(X)&~old(X))))&
((?[X]:((happy(X)<~>~quiet(X))))=>(?[X]:((happy(X)<~>~strong(X)))))&
(((~quiet(susan)&creative(susan)))=>((kind(fred)<~>~curious(fred))))&
((~old(fred))=>((wise(fred)<~>calm(fred))))&
(((quiet(john)&curious(john)))<=>(rich(susan)))&
(![X]:(tall(X)=>(~happy(X)&humble(X)... | ~curious(alice) | [] | null | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa. If paul is not old or generous then someone is brave. Everyone who is either kind or not kind is both old and not wise. If someone is either quiet or not patient then someone is both generous and not brave and vice versa. If someone is... | Mary is rich. | entailment | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
(((~old(paul)|generous(paul)))=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>~kind(X))=>(old(X)&~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((calm(X)|curious(X))))=>((kind(paul)|rich(paul))))&
((?[X]:((~quiet(X)|wise(X... | rich(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2005195753181101687734117
% SZS output start Proof for 2005195753181101687734117
18. ~humble(mary) & rich(mary) [input p17]
24. ~rich(mary) [input hypothesis]
125. rich(mary) [cnf transformation 18]
133. ~rich(mary) [cnf transformation 24]
275. $false [subsumption resolution 133,125]
% SZ... | 0 |
Everyone who is either patient or curious is not old or not funny and vice versa.
Everyone who is not kind or not wise is generous and vice versa.
Everyone who is kind is creative or not curious and vice versa.
If john is both humble and patient then someone is both generous and not rich and vice versa.
If alice is old... | John is not tall. | entailment | (![X]:((patient(X)<~>curious(X))<=>(~old(X)|~funny(X))))&
(![X]:((~kind(X)|~wise(X))<=>generous(X)))&
(![X]:(kind(X)<=>(creative(X)|~curious(X))))&
(((humble(john)&patient(john)))<=>(?[X]:((generous(X)&~rich(X)))))&
((old(alice))=>((~calm(fred)<~>~happy(fred))))&
(![X]:((~patient(X)|~quiet(X))<=>~funny(X)))&
(![X]:((~c... | ~tall(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p8",
"p10",
"p12",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6699232609356960489248762
% SZS output start Proof for 6699232609356960489248762
1. ! [X0] : ((patient(X0) <~> curious(X0)) <=> (~funny(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> generous(X0)) [input p1]
3. ! [X0] : (kind(X0) <=> (~curious(X0) | creative(X0))) [i... | 0 |
If someone is either not curious or brave then someone is not happy and vice versa.
Everyone who is not tall or wise is calm or not patient.
If someone is not funny or not generous then someone is not calm or not brave.
If paul is patient then someone is either calm or not rich and vice versa.
If fred is not humble or ... | Lucy is not tall. | contradiction | ((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~tall(X)|wise(X))=>(calm(X)|~patient(X))))&
((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((~calm(X)|~brave(X)))))&
((patient(paul))<=>(?[X]:((calm(X)<~>~rich(X)))))&
(((~humble(fred)|~quiet(fred)))<=>((curious(john)|quiet(john))))&
(![X]:(~calm(X)<=>~genero... | ~tall(lucy) | [
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1112740192785194566627933
% SZS output start Proof for 1112740192785194566627933
20. ~quiet(lucy) & ~rich(lucy) [input p19]
21. quiet(lucy) | tall(lucy) [input p20]
25. ~tall(lucy) [input hypothesis]
139. ~quiet(lucy) [cnf transformation 20]
140. quiet(lucy) | tall(lucy) [cnf transformati... | 0 |
Everyone who is not humble is either not funny or creative and vice versa. Everyone who is curious or tall is not brave. Everyone who is old is creative or not humble and vice versa. If someone is brave then lucy is not wise and vice versa. If someone is both happy and wise then susan is both kind and not brave. Everyo... | Fred is curious. | entailment | (![X]:(~humble(X)<=>(~funny(X)<~>creative(X))))&
(![X]:((curious(X)|tall(X))=>~brave(X)))&
(![X]:(old(X)<=>(creative(X)|~humble(X))))&
((?[X]:(brave(X)))<=>(~wise(lucy)))&
((?[X]:((happy(X)&wise(X))))=>((kind(susan)&~brave(susan))))&
(![X]:((wise(X)&~funny(X))=>(calm(X)|~patient(X))))&
(![X]:((~creative(X)&old(X))=>~ki... | curious(fred) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7324292432891438690186736
% SZS output start Proof for 7324292432891438690186736
13. ! [X0] : (~kind(X0) => (curious(X0) & ~tall(X0))) [input p12]
16. ! [X0] : ((kind(X0) | humble(X0)) => (calm(X0) & curious(X0))) [input p15]
24. ~curious(fred) [input hypothesis]
30. ! [X0] : ((kind(X0) |... | 0 |
If susan is both generous and kind then someone is either funny or not funny and vice versa.
If paul is not creative then someone is both kind and strong and vice versa.
Everyone who is both strong and wise is not wise and vice versa.
Everyone who is not old or not funny is either not tall or not funny and vice versa.
... | Mary is generous. | neutral | (((generous(susan)&kind(susan)))<=>(?[X]:((funny(X)<~>~funny(X)))))&
((~creative(paul))<=>(?[X]:((kind(X)&strong(X)))))&
(![X]:((strong(X)&wise(X))<=>~wise(X)))&
(![X]:((~old(X)|~funny(X))<=>(~tall(X)<~>~funny(X))))&
(((~tall(lucy)<~>~humble(lucy)))=>(?[X]:((tall(X)&funny(X)))))&
(![X]:((~quiet(X)<~>~tall(X))<=>(kind(X... | generous(mary) | [] | null | 0 |
Everyone who is either not generous or not curious is not funny or tall and vice versa. Everyone who is not humble or creative is quiet and vice versa. If someone is not humble then lucy is wise. Everyone who is funny is both kind and not funny and vice versa. If someone is not rich then alice is either happy or wise a... | Mary is brave. | entailment | (![X]:((~generous(X)<~>~curious(X))<=>(~funny(X)|tall(X))))&
(![X]:((~humble(X)|creative(X))<=>quiet(X)))&
((?[X]:(~humble(X)))=>(wise(lucy)))&
(![X]:(funny(X)<=>(kind(X)&~funny(X))))&
((?[X]:(~rich(X)))<=>((happy(alice)<~>wise(alice))))&
(![X]:(~humble(X)<=>patient(X)))&
(![X]:((funny(X)&~wise(X))<=>~generous(X)))&
((... | brave(mary) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4081464438068471555991350
% SZS output start Proof for 4081464438068471555991350
4. ! [X0] : (funny(X0) <=> (~funny(X0) & kind(X0))) [input p3]
13. ! [X0] : ((quiet(X0) | ~brave(X0)) => (funny(X0) & ~generous(X0))) [input p12]
21. ~brave(mary) [input hypothesis]
26. ! [X0] : ((funny(X0) &... | 0 |
Everyone who is both rich and not wise is kind or not tall and vice versa.
Everyone who is either generous or tall is either curious or wise.
If someone is both not generous and kind then someone is creative or not calm and vice versa.
Everyone who is either not old or patient is not rich and vice versa.
Everyone who i... | Fred is not quiet. | contradiction | (![X]:((rich(X)&~wise(X))<=>(kind(X)|~tall(X))))&
(![X]:((generous(X)<~>tall(X))=>(curious(X)<~>wise(X))))&
((?[X]:((~generous(X)&kind(X))))<=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((~old(X)<~>patient(X))<=>~rich(X)))&
(![X]:((~strong(X)<~>~calm(X))=>(~wise(X)<~>happy(X))))&
(((~patient(mary)&~quiet(mary)))=>(?[X]:((... | ~quiet(fred) | [
"p0",
"p7",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 637948701093932216427976
% SZS output start Proof for 637948701093932216427976
1. ! [X0] : ((~wise(X0) & rich(X0)) <=> (~tall(X0) | kind(X0))) [input p0]
8. ! [X0] : ((~brave(X0) & wise(X0)) <=> (~happy(X0) <~> wise(X0))) [input p7]
10. ! [X0] : ((rich(X0) & ~quiet(X0)) => (~funny(X0) & ~... | 0 |
If lucy is either not tall or not wise then fred is not strong or strong. If someone is both patient and generous then mary is either not happy or not humble and vice versa. Everyone who is both not tall and not creative is kind or not calm and vice versa. If susan is not patient then mary is tall. If someone is either... | Susan is creative. | contradiction | (((~tall(lucy)<~>~wise(lucy)))=>((~strong(fred)|strong(fred))))&
((?[X]:((patient(X)&generous(X))))<=>((~happy(mary)<~>~humble(mary))))&
(![X]:((~tall(X)&~creative(X))<=>(kind(X)|~calm(X))))&
((~patient(susan))=>(tall(mary)))&
((?[X]:((~funny(X)<~>happy(X))))=>((~quiet(susan)|creative(susan))))&
(![X]:((strong(X)<~>old... | creative(susan) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 364091535018929810714424
% SZS output start Proof for 364091535018929810714424
3. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~calm(X0) | kind(X0))) [input p2]
7. ! [X0] : ((~calm(X0) | ~old(X0)) <=> (creative(X0) | ~happy(X0))) [input p6]
12. ! [X0] : (~old(X0) => old(X0)) [input p11]
24.... | 0 |
If someone is not curious then mary is not generous and vice versa.
Everyone who is not rich or not patient is generous.
If someone is creative or not happy then someone is either not wise or curious and vice versa.
If someone is not calm or not curious then someone is not tall or wise and vice versa.
If susan is old t... | Susan is not generous. | neutral | ((?[X]:(~curious(X)))<=>(~generous(mary)))&
(![X]:((~rich(X)|~patient(X))=>generous(X)))&
((?[X]:((creative(X)|~happy(X))))<=>(?[X]:((~wise(X)<~>curious(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:((~s... | ~generous(susan) | [] | null | 0 |
If someone is tall then someone is either not funny or creative and vice versa.
Everyone who is both not humble and wise is either not curious or not old.
If someone is not happy then someone is not patient or not generous and vice versa.
Everyone who is both not calm and strong is not patient and vice versa.
If mary i... | Paul is not funny. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~humble(X)&wise(X))=>(~curious(X)<~>~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~calm(X)&strong(X))<=>~patient(X)))&
(((patient(mary)|~humble(mary)))=>((~generous(mary)&calm(mary))))&
(![X]:(generous(X)=>(calm(X)&~wise(... | ~funny(paul) | [
"p3",
"p5",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6421346343753479826257650
% SZS output start Proof for 6421346343753479826257650
4. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (generous(X0) => (~wise(X0) & calm(X0))) [input p5]
9. ? [X0] : (~wise(X0) | ~calm(X0)) => generous(fred) [input p8]
15. ! [X0] :... | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa.
If someone is not wise then alice is not patient and vice versa.
Everyone who is both wise and not old is both not generous and generous.
Everyone who is not kind is both not humble and curious and vice versa.
If susan is not brave... | Mary is not funny. | entailment | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(~patient(alice)))&
(![X]:((wise(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))))&
((?... | ~funny(mary) | [
"p2",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1630981292570449838533726
% SZS output start Proof for 1630981292570449838533726
3. ! [X0] : ((~old(X0) & wise(X0)) => (generous(X0) & ~generous(X0))) [input p2]
9. ! [X0] : (old(X0) => (tall(X0) & ~old(X0))) [input p8]
12. ! [X0] : ((~patient(X0) | funny(X0)) => (tall(X0) <~> wise(X0))) ... | 0 |
Everyone who is either patient or wise is either wise or curious. If someone is both not humble and brave then fred is either wise or not wise. Everyone who is wise is either old or not curious. Everyone who is not curious is generous or not patient. Everyone who is not kind is both not curious and not generous. If som... | Mary is not patient. | neutral | (![X]:((patient(X)<~>wise(X))=>(wise(X)<~>curious(X))))&
((?[X]:((~humble(X)&brave(X))))=>((wise(fred)<~>~wise(fred))))&
(![X]:(wise(X)=>(old(X)<~>~curious(X))))&
(![X]:(~curious(X)=>(generous(X)|~patient(X))))&
(![X]:(~kind(X)=>(~curious(X)&~generous(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>(?[X]:((curious(X)<~>~wise(... | ~patient(mary) | [] | null | 0 |
Everyone who is patient or calm is not curious or humble.
If susan is rich or patient then alice is both not strong and not calm and vice versa.
If mary is both not kind and not tall then someone is either tall or not happy.
If alice is either not tall or not funny then someone is wise or happy.
Everyone who is both cr... | Lucy is not generous. | neutral | (![X]:((patient(X)|calm(X))=>(~curious(X)|humble(X))))&
(((rich(susan)|patient(susan)))<=>((~strong(alice)&~calm(alice))))&
(((~kind(mary)&~tall(mary)))=>(?[X]:((tall(X)<~>~happy(X)))))&
(((~tall(alice)<~>~funny(alice)))=>(?[X]:((wise(X)|happy(X)))))&
(![X]:((creative(X)&patient(X))=>(funny(X)|tall(X))))&
(((~humble(fr... | ~generous(lucy) | [] | null | 0 |
If lucy is both wise and patient then someone is either old or strong.
Everyone who is either not wise or quiet is both not old and patient and vice versa.
If someone is happy then paul is not wise or strong.
If susan is brave or humble then someone is humble or rich and vice versa.
If someone is old then lucy is both ... | Paul is not creative. | neutral | (((wise(lucy)&patient(lucy)))=>(?[X]:((old(X)<~>strong(X)))))&
(![X]:((~wise(X)<~>quiet(X))<=>(~old(X)&patient(X))))&
((?[X]:(happy(X)))=>((~wise(paul)|strong(paul))))&
(((brave(susan)|humble(susan)))<=>(?[X]:((humble(X)|rich(X)))))&
((?[X]:(old(X)))<=>((patient(lucy)&wise(lucy))))&
(![X]:(curious(X)=>(rich(X)<~>~gener... | ~creative(paul) | [] | null | 0 |
If someone is calm or not strong then someone is either not happy or old. Everyone who is either funny or not old is either not kind or not creative and vice versa. Everyone who is both not curious and not brave is either not kind or not creative. If lucy is creative or calm then someone is either quiet or not funny an... | Alice is not patient. | neutral | ((?[X]:((calm(X)|~strong(X))))=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((funny(X)<~>~old(X))<=>(~kind(X)<~>~creative(X))))&
(![X]:((~curious(X)&~brave(X))=>(~kind(X)<~>~creative(X))))&
(((creative(lucy)|calm(lucy)))<=>(?[X]:((quiet(X)<~>~funny(X)))))&
(![X]:((quiet(X)<~>rich(X))=>(kind(X)&~quiet(X))))&
(![X]:((~old(X)<~... | ~patient(alice) | [] | null | 0 |
Everyone who is strong is creative or not brave.
Everyone who is both rich and not curious is strong.
Everyone who is either quiet or patient is both not generous and not curious and vice versa.
Everyone who is not curious or not strong is funny.
Everyone who is wise or brave is both not wise and not humble and vice ve... | Fred is happy. | entailment | (![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((rich(X)&~curious(X))=>strong(X)))&
(![X]:((quiet(X)<~>patient(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~curious(X)|~strong(X))=>funny(X)))&
(![X]:((wise(X)|brave(X))<=>(~wise(X)&~humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~tall(X)|humble(... | happy(fred) | [
"p2",
"p3",
"p5",
"p6",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1247062222599792270146557
% SZS output start Proof for 1247062222599792270146557
3. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (~curious(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~curious(X0)) => funny(X0)) [input p3]
6. ! [X0] : (~generous(X0) <=> (quiet(X0) | ~strong(X... | 0 |
If paul is not tall or not patient then alice is not old and vice versa. Everyone who is either not quiet or not tall is either not humble or calm and vice versa. Everyone who is quiet or rich is both creative and funny and vice versa. Everyone who is curious is either not curious or strong. If someone is not funny the... | Susan is happy. | contradiction | (((~tall(paul)|~patient(paul)))<=>(~old(alice)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((quiet(X)|rich(X))<=>(creative(X)&funny(X))))&
(![X]:(curious(X)=>(~curious(X)<~>strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((rich(X)&~brave(X)))))&
(![X]:((calm(X)&humble(X))<=>(creative(X)|~strong(X))))&
... | happy(susan) | [
"p2",
"p3",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5292843729410486841454953
% SZS output start Proof for 5292843729410486841454953
3. ! [X0] : ((rich(X0) | quiet(X0)) <=> (funny(X0) & creative(X0))) [input p2]
4. ! [X0] : (curious(X0) => (~curious(X0) <~> strong(X0))) [input p3]
13. ! [X0] : ((creative(X0) | ~curious(X0)) => (~rich(X0) &... | 0 |
Everyone who is both funny and not creative is either tall or generous. If paul is either brave or not generous then john is not creative and vice versa. Everyone who is either not brave or not funny is not humble and vice versa. Everyone who is either curious or creative is both not quiet and curious and vice versa. E... | Paul is generous. | neutral | (![X]:((funny(X)&~creative(X))=>(tall(X)<~>generous(X))))&
(((brave(paul)<~>~generous(paul)))<=>(~creative(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~curious(X)<=>(~old(X)|brave(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>((~quiet(lucy)&~... | generous(paul) | [] | null | 0 |
Everyone who is both not brave and patient is either not funny or generous and vice versa. Everyone who is both humble and brave is humble or not creative and vice versa. Everyone who is not tall is either not old or not wise. Everyone who is both not happy and funny is not creative or not quiet. Everyone who is both n... | Alice is curious. | entailment | (![X]:((~brave(X)&patient(X))<=>(~funny(X)<~>generous(X))))&
(![X]:((humble(X)&brave(X))<=>(humble(X)|~creative(X))))&
(![X]:(~tall(X)=>(~old(X)<~>~wise(X))))&
(![X]:((~happy(X)&funny(X))=>(~creative(X)|~quiet(X))))&
(![X]:((~rich(X)&tall(X))<=>~happy(X)))&
(((calm(mary)&patient(mary)))<=>((~humble(lucy)|funny(lucy))))... | curious(alice) | [
"p1",
"p4",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4877246823306278177804259
% SZS output start Proof for 4877246823306278177804259
2. ! [X0] : ((brave(X0) & humble(X0)) <=> (~creative(X0) | humble(X0))) [input p1]
5. ! [X0] : ((tall(X0) & ~rich(X0)) <=> ~happy(X0)) [input p4]
11. ! [X0] : (humble(X0) <=> (calm(X0) <~> curious(X0))) [inpu... | 0 |
If someone is either not curious or not quiet then someone is not generous or not patient.
If fred is either not tall or not kind then someone is both strong and brave.
Everyone who is wise is not happy and vice versa.
Everyone who is both not creative and old is not calm or old and vice versa.
If someone is both calm ... | Fred is brave. | contradiction | ((?[X]:((~curious(X)<~>~quiet(X))))=>(?[X]:((~generous(X)|~patient(X)))))&
(((~tall(fred)<~>~kind(fred)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:((~creative(X)&old(X))<=>(~calm(X)|old(X))))&
((?[X]:((calm(X)&happy(X))))<=>((~happy(john)&~kind(john))))&
(((curious(mary)<~>~patient(mary)))<=... | brave(fred) | [
"p2",
"p3",
"p4",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1232899848849077991655703
% SZS output start Proof for 1232899848849077991655703
3. ! [X0] : (wise(X0) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((old(X0) & ~creative(X0)) <=> (old(X0) | ~calm(X0))) [input p3]
5. ? [X0] : (happy(X0) & calm(X0)) <=> (~kind(john) & ~happy(john)) [input p4]
7. ... | 0 |
If someone is either rich or quiet then susan is funny.
Everyone who is kind or happy is old and vice versa.
Everyone who is not curious is humble and vice versa.
Everyone who is patient or not strong is calm and vice versa.
Everyone who is both not creative and rich is not calm or quiet.
If paul is both not happy and ... | John is humble. | entailment | ((?[X]:((rich(X)<~>quiet(X))))=>(funny(susan)))&
(![X]:((kind(X)|happy(X))<=>old(X)))&
(![X]:(~curious(X)<=>humble(X)))&
(![X]:((patient(X)|~strong(X))<=>calm(X)))&
(![X]:((~creative(X)&rich(X))=>(~calm(X)|quiet(X))))&
(((~happy(paul)&~strong(paul)))=>((~old(john)&kind(john))))&
((?[X]:((happy(X)<~>~funny(X))))<=>((qui... | humble(john) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6121571092038235777507794
% SZS output start Proof for 6121571092038235777507794
3. ! [X0] : (~curious(X0) <=> humble(X0)) [input p2]
15. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> (curious(X0) | ~wise(X0))) [input p14]
24. ~humble(john) [input hypothesis]
42. ! [X0] : ((~curious(X0) | ~hum... | 0 |
Everyone who is either not wise or rich is either not kind or quiet and vice versa. Everyone who is strong or not rich is not strong or old and vice versa. If someone is not creative or not happy then someone is either tall or not funny. Everyone who is either not quiet or not wise is either tall or not strong and vice... | John is quiet. | contradiction | (![X]:((~wise(X)<~>rich(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((strong(X)|~rich(X))<=>(~strong(X)|old(X))))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:((tall(X)<~>~funny(X)))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~happy(X)|~quiet(X))=>~humble(X)))&
(![X]:((patient(X)|~wise(X))<=>~funny(X))... | quiet(john) | [
"p0",
"p3",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2768705668410124392455656
% SZS output start Proof for 2768705668410124392455656
1. ! [X0] : ((~wise(X0) <~> rich(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) <~> ~wise(X0)) <=> (tall(X0) <~> ~strong(X0))) [input p3]
13. ! [X0] : ((kind(X0) | rich(X0)) <=> wise(... | 0 |
If fred is not tall then john is not happy and vice versa.
If susan is both not strong and funny then someone is not quiet or wise and vice versa.
If someone is either old or creative then someone is either happy or not generous and vice versa.
If fred is tall or strong then john is curious.
Everyone who is both not qu... | John is not rich. | entailment | ((~tall(fred))<=>(~happy(john)))&
(((~strong(susan)&funny(susan)))<=>(?[X]:((~quiet(X)|wise(X)))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((happy(X)<~>~generous(X)))))&
(((tall(fred)|strong(fred)))=>(curious(john)))&
(![X]:((~quiet(X)&~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~brave(X)<~>~old(X))=>(funny(X)&rich(X))... | ~rich(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1428721534699049887468573
% SZS output start Proof for 1428721534699049887468573
11. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (wise(X0) | ~rich(X0))) [input p10]
25. rich(john) [input hypothesis]
53. ! [X0] : (((~wise(X0) | ~rich(X0)) | (~wise(X0) & rich(X0))) & ((wise(X0) | ~rich(X0)) | (wi... | 0 |
If someone is both quiet and creative then mary is strong and vice versa.
Everyone who is either humble or not patient is either not rich or strong.
If someone is either not happy or kind then someone is kind and vice versa.
Everyone who is calm is not quiet or generous.
Everyone who is not old is kind and vice versa.
... | Lucy is not tall. | contradiction | ((?[X]:((quiet(X)&creative(X))))<=>(strong(mary)))&
(![X]:((humble(X)<~>~patient(X))=>(~rich(X)<~>strong(X))))&
((?[X]:((~happy(X)<~>kind(X))))<=>(?[X]:(kind(X))))&
(![X]:(calm(X)=>(~quiet(X)|generous(X))))&
(![X]:(~old(X)<=>kind(X)))&
(![X]:((~kind(X)&generous(X))=>(~strong(X)&wise(X))))&
(![X]:(curious(X)<=>(~kind(X)... | ~tall(lucy) | [
"p4",
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1166974626687506504339000
% SZS output start Proof for 1166974626687506504339000
5. ! [X0] : (~old(X0) <=> kind(X0)) [input p4]
8. ? [X0] : (quiet(X0) <~> old(X0)) <=> (tall(lucy) & ~creative(lucy)) [input p7]
9. ? [X0] : (~quiet(X0) | kind(X0)) => ? [X0] : (old(X0) <~> quiet(X0)) [input ... | 0 |
If someone is both not generous and funny then susan is tall or not creative. Everyone who is both not wise and quiet is not wise. Everyone who is both creative and not patient is not kind or not wise and vice versa. Everyone who is either strong or not tall is not tall or not calm. Everyone who is either not creative ... | Alice is not generous. | entailment | ((?[X]:((~generous(X)&funny(X))))=>((tall(susan)|~creative(susan))))&
(![X]:((~wise(X)&quiet(X))=>~wise(X)))&
(![X]:((creative(X)&~patient(X))<=>(~kind(X)|~wise(X))))&
(![X]:((strong(X)<~>~tall(X))=>(~tall(X)|~calm(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~strong(X)|strong(X))))&
(![X]:((generous(X)|~rich(X))=>(~humbl... | ~generous(alice) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3801942892655741153256856
% SZS output start Proof for 3801942892655741153256856
3. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~wise(X0) | ~kind(X0))) [input p2]
5. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (strong(X0) | ~strong(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | generous(X0)) ... | 0 |
If john is not humble then someone is kind and vice versa.
If someone is not patient or funny then paul is not brave.
If paul is not rich or not happy then mary is either quiet or strong.
Everyone who is not old or old is both not brave and calm.
If lucy is not wise then someone is not wise or curious.
Everyone who is ... | Susan is not old. | neutral | ((~humble(john))<=>(?[X]:(kind(X))))&
((?[X]:((~patient(X)|funny(X))))=>(~brave(paul)))&
(((~rich(paul)|~happy(paul)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((~old(X)|old(X))=>(~brave(X)&calm(X))))&
((~wise(lucy))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((creative(X)<~>~calm(X))<=>rich(X)))&
(![X]:(creative(X)=>(~ric... | ~old(susan) | [] | null | 0 |
Everyone who is patient or kind is both generous and rich.
If john is rich then lucy is both not funny and not rich and vice versa.
Everyone who is calm or humble is both creative and tall and vice versa.
If alice is either creative or not calm then paul is not tall or generous.
Everyone who is strong is either not pat... | Lucy is not patient. | contradiction | (![X]:((patient(X)|kind(X))=>(generous(X)&rich(X))))&
((rich(john))<=>((~funny(lucy)&~rich(lucy))))&
(![X]:((calm(X)|humble(X))<=>(creative(X)&tall(X))))&
(((creative(alice)<~>~calm(alice)))=>((~tall(paul)|generous(paul))))&
(![X]:(strong(X)<=>(~patient(X)<~>~kind(X))))&
(![X]:((~calm(X)|old(X))=>brave(X)))&
(![X]:((ol... | ~patient(lucy) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5404277372085889001409913
% SZS output start Proof for 5404277372085889001409913
8. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (~kind(X0) & quiet(X0))) [input p7]
20. ~quiet(lucy) & wise(lucy) [input p19]
22. ~patient(lucy) [input hypothesis]
23. ~quiet(lucy) [pure predicate removal 20]
28.... | 0 |
If fred is creative or not funny then lucy is patient and vice versa.
Everyone who is not strong or old is both tall and patient and vice versa.
Everyone who is funny or curious is not rich.
Everyone who is not happy or not patient is either rich or funny and vice versa.
If someone is kind then someone is wise or rich ... | Susan is kind. | contradiction | (((creative(fred)|~funny(fred)))<=>(patient(lucy)))&
(![X]:((~strong(X)|old(X))<=>(tall(X)&patient(X))))&
(![X]:((funny(X)|curious(X))=>~rich(X)))&
(![X]:((~happy(X)|~patient(X))<=>(rich(X)<~>funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)|rich(X)))))&
((?[X]:((~curious(X)<~>rich(X))))=>(?[X]:((kind(X)&creative(X)))))... | kind(susan) | [
"p2",
"p7",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 467484925352203256118005
% SZS output start Proof for 467484925352203256118005
3. ! [X0] : ((curious(X0) | funny(X0)) => ~rich(X0)) [input p2]
8. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (strong(X0) & ~humble(X0))) [input p7]
13. ! [X0] : ((~strong(X0) | ~brave(X0)) => (rich(X0) <~> ~cur... | 0 |
If susan is either not quiet or brave then paul is patient or old and vice versa.
Everyone who is either not rich or not humble is not tall and vice versa.
If someone is curious or rich then someone is both not tall and happy.
If alice is old or not rich then fred is both not humble and kind and vice versa.
If someone ... | Lucy is funny. | contradiction | (((~quiet(susan)<~>brave(susan)))<=>((patient(paul)|old(paul))))&
(![X]:((~rich(X)<~>~humble(X))<=>~tall(X)))&
((?[X]:((curious(X)|rich(X))))=>(?[X]:((~tall(X)&happy(X)))))&
(((old(alice)|~rich(alice)))<=>((~humble(fred)&kind(fred))))&
((?[X]:(~rich(X)))<=>((calm(lucy)<~>~tall(lucy))))&
(![X]:(~funny(X)<=>(~humble(X)|~... | funny(lucy) | [
"p5",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8591579989524237382249927
% SZS output start Proof for 8591579989524237382249927
6. ! [X0] : (~funny(X0) <=> (~quiet(X0) | ~humble(X0))) [input p5]
10. ! [X0] : ((~curious(X0) | brave(X0)) <=> (~rich(X0) & ~quiet(X0))) [input p9]
11. ! [X0] : ((~quiet(X0) & ~tall(X0)) <=> happy(X0)) [inpu... | 0 |
If paul is not tall then someone is not patient. If someone is not creative then someone is either not curious or quiet. If someone is either happy or not brave then someone is both happy and creative and vice versa. Everyone who is not rich is either not rich or curious and vice versa. Everyone who is not curious is n... | Paul is kind. | entailment | ((~tall(paul))=>(?[X]:(~patient(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)<~>~brave(X))))<=>(?[X]:((happy(X)&creative(X)))))&
(![X]:(~rich(X)<=>(~rich(X)<~>curious(X))))&
(![X]:(~curious(X)<=>~happy(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((happy(X)&pati... | kind(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1572808118344641787237260
% SZS output start Proof for 1572808118344641787237260
3. ? [X0] : (happy(X0) <~> ~brave(X0)) <=> ? [X0] : (creative(X0) & happy(X0)) [input p2]
4. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> curious(X0))) [input p3]
5. ! [X0] : (~curious(X0) <=> ~happy(X0)) [input p4... | 0 |
If lucy is both tall and not humble then someone is curious and vice versa.
Everyone who is both not brave and old is quiet.
If someone is rich then fred is both curious and not kind and vice versa.
If someone is either generous or curious then someone is both generous and not curious.
Everyone who is either calm or no... | Susan is not calm. | neutral | (((tall(lucy)&~humble(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((~brave(X)&old(X))=>quiet(X)))&
((?[X]:(rich(X)))<=>((curious(fred)&~kind(fred))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((calm(X)<~>~creative(X))<=>funny(X)))&
((~kind(mary))=>(?[X]:((brave(X)|~generous(X)))))&
(![... | ~calm(susan) | [] | null | 0 |
Everyone who is both not patient and curious is not curious or creative and vice versa.
If someone is both not brave and calm then john is happy and vice versa.
Everyone who is not creative or not tall is either not humble or happy and vice versa.
If someone is not quiet or tall then someone is old or strong.
If someon... | Paul is calm. | neutral | (![X]:((~patient(X)&curious(X))<=>(~curious(X)|creative(X))))&
((?[X]:((~brave(X)&calm(X))))<=>(happy(john)))&
(![X]:((~creative(X)|~tall(X))<=>(~humble(X)<~>happy(X))))&
((?[X]:((~quiet(X)|tall(X))))=>(?[X]:((old(X)|strong(X)))))&
((?[X]:((~curious(X)<~>~generous(X))))=>((calm(paul)<~>~old(paul))))&
(![X]:((calm(X)<~>... | calm(paul) | [] | null | 0 |
Everyone who is either not old or rich is calm or strong.
If alice is not brave or creative then someone is either not curious or not humble.
If mary is funny then someone is wise.
If john is patient then someone is either not old or not quiet.
Everyone who is not funny is not happy.
If someone is both patient and brav... | Fred is funny. | neutral | (![X]:((~old(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((~brave(alice)|creative(alice)))=>(?[X]:((~curious(X)<~>~humble(X)))))&
((funny(mary))=>(?[X]:(wise(X))))&
((patient(john))=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:(~funny(X)=>~happy(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~wise(X)|strong(X)))))&
((?[X]:(~bra... | funny(fred) | [] | null | 0 |
Everyone who is either not happy or not rich is either not brave or kind. Everyone who is both wise and not old is not wise. Everyone who is not generous or rich is either not strong or not old. If someone is either not creative or not quiet then someone is either kind or not wise. Everyone who is either wise or not fu... | Mary is strong. | contradiction | (![X]:((~happy(X)<~>~rich(X))=>(~brave(X)<~>kind(X))))&
(![X]:((wise(X)&~old(X))=>~wise(X)))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)<~>~old(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((kind(X)<~>~wise(X)))))&
(![X]:((wise(X)<~>~funny(X))=>(creative(X)<~>funny(X))))&
(![X]:(quiet(X)=>(~patient(X)|~rich(X))))... | strong(mary) | [
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9124296601435730798538197
% SZS output start Proof for 9124296601435730798538197
3. ! [X0] : ((rich(X0) | ~generous(X0)) => (~strong(X0) <~> ~old(X0))) [input p2]
8. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~old(X0)) [input p7]
12. ! [X0] : ((generous(X0) | rich(X0)) <=> (~old(X0) & ~happy(... | 0 |
Everyone who is not kind or patient is both not old and not strong and vice versa.
If someone is either old or not rich then mary is humble.
Everyone who is both patient and not calm is rich.
Everyone who is patient or not rich is happy or generous and vice versa.
If paul is either not strong or creative then someone i... | John is tall. | neutral | (![X]:((~kind(X)|patient(X))<=>(~old(X)&~strong(X))))&
((?[X]:((old(X)<~>~rich(X))))=>(humble(mary)))&
(![X]:((patient(X)&~calm(X))=>rich(X)))&
(![X]:((patient(X)|~rich(X))<=>(happy(X)|generous(X))))&
(((~strong(paul)<~>creative(paul)))=>(?[X]:(tall(X))))&
(![X]:((strong(X)<~>~kind(X))=>~patient(X)))&
(((~creative(mary... | tall(john) | [] | null | 0 |
If lucy is not patient then paul is both generous and not wise.
Everyone who is both wise and not rich is not tall or not curious and vice versa.
Everyone who is funny is both patient and not creative.
Everyone who is not quiet or not rich is both generous and curious and vice versa.
If paul is both not rich and old th... | John is brave. | neutral | ((~patient(lucy))=>((generous(paul)&~wise(paul))))&
(![X]:((wise(X)&~rich(X))<=>(~tall(X)|~curious(X))))&
(![X]:(funny(X)=>(patient(X)&~creative(X))))&
(![X]:((~quiet(X)|~rich(X))<=>(generous(X)&curious(X))))&
(((~rich(paul)&old(paul)))=>(~brave(mary)))&
(![X]:(~brave(X)=>(patient(X)|~old(X))))&
(((~generous(susan)&ric... | brave(john) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.