premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not generous or not brave then susan is both kind and calm. If fred is not rich then someone is either kind or not tall and vice versa. Everyone who is not happy or not kind is both not tall and calm. Everyone who is either not patient or tall is old and vice versa. Everyone who is both happy and n... | Mary is not rich. | neutral | ((?[X]:((~generous(X)<~>~brave(X))))=>((kind(susan)&calm(susan))))&
((~rich(fred))<=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((~happy(X)|~kind(X))=>(~tall(X)&calm(X))))&
(![X]:((~patient(X)<~>tall(X))<=>old(X)))&
(![X]:((happy(X)&~patient(X))<=>(curious(X)<~>~old(X))))&
((curious(alice))=>(?[X]:((~strong(X)&~creative(X))... | ~rich(mary) | [] | null | 0 |
If someone is both not creative and not calm then someone is quiet or not curious and vice versa.
Everyone who is not calm is rich or strong.
Everyone who is quiet or not wise is not wise or not funny.
If john is not creative or not generous then someone is not rich or not quiet and vice versa.
If someone is strong the... | Susan is not generous. | entailment | ((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((quiet(X)|~curious(X)))))&
(![X]:(~calm(X)=>(rich(X)|strong(X))))&
(![X]:((quiet(X)|~wise(X))=>(~wise(X)|~funny(X))))&
(((~creative(john)|~generous(john)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:(strong(X)))<=>((~quiet(paul)|~curious(paul))))&
((?[X]:((old(X)|kind(X))))=>(?[... | ~generous(susan) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8542042167860902367925514
% SZS output start Proof for 8542042167860902367925514
6. ? [X0] : (kind(X0) | old(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p5]
9. ! [X0] : (kind(X0) <=> (~patient(X0) | generous(X0))) [input p8]
23. generous(susan) [input hypothesis]
25. ? [X0] : (kind(X... | 0 |
Everyone who is either tall or wise is both not quiet and not generous.
Everyone who is both not calm and not funny is both not funny and not old and vice versa.
Everyone who is not kind or not happy is both patient and not patient.
If john is brave or not generous then fred is both not generous and not funny and vice ... | Paul is not curious. | neutral | (![X]:((tall(X)<~>wise(X))=>(~quiet(X)&~generous(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~funny(X)&~old(X))))&
(![X]:((~kind(X)|~happy(X))=>(patient(X)&~patient(X))))&
(((brave(john)|~generous(john)))<=>((~generous(fred)&~funny(fred))))&
(![X]:((~old(X)&tall(X))<=>(brave(X)<~>~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:((humb... | ~curious(paul) | [] | null | 0 |
Everyone who is both funny and not creative is both brave and not tall and vice versa.
If someone is both not rich and patient then someone is either not generous or not kind.
Everyone who is not old or not brave is not tall or not happy and vice versa.
If someone is creative or patient then someone is both not humble ... | Mary is not funny. | entailment | (![X]:((funny(X)&~creative(X))<=>(brave(X)&~tall(X))))&
((?[X]:((~rich(X)&patient(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:((~old(X)|~brave(X))<=>(~tall(X)|~happy(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)&~old(X))=>quiet(X)))&
(![X]:((creative(X)|old(X))<=... | ~funny(mary) | [
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2041483710881138397562687
% SZS output start Proof for 2041483710881138397562687
13. ? [X0] : ~generous(X0) <=> (~funny(mary) & ~brave(mary)) [input p12]
14. (~quiet(john) | curious(john)) => (~strong(john) & ~curious(john)) [input p13]
23. curious(john) | ~generous(john) [input p22]
25. ... | 0 |
Everyone who is not humble or not wise is not funny or quiet and vice versa. Everyone who is not strong or not humble is both not strong and not calm and vice versa. Everyone who is both humble and not strong is both not happy and humble. Everyone who is tall is either not rich or not funny and vice versa. Everyone who... | Mary is brave. | contradiction | (![X]:((~humble(X)|~wise(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~strong(X)|~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:((humble(X)&~strong(X))=>(~happy(X)&humble(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~funny(X))))&
(![X]:((brave(X)&~generous(X))<=>humble(X)))&
(((wise(lucy)|~happy(lucy)))<=>((brave(fred)|~kind(fred))))&
(... | brave(mary) | [
"p1",
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6462103395637061578456991
% SZS output start Proof for 6462103395637061578456991
2. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (~calm(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p4]
7. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [i... | 0 |
Everyone who is both not tall and happy is creative or rich.
If someone is not creative then someone is both humble and not kind.
If someone is either rich or not wise then susan is rich or not wise and vice versa.
If someone is wise or not generous then someone is both not rich and patient and vice versa.
Everyone who... | Lucy is not wise. | entailment | (![X]:((~tall(X)&happy(X))=>(creative(X)|rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((humble(X)&~kind(X)))))&
((?[X]:((rich(X)<~>~wise(X))))<=>((rich(susan)|~wise(susan))))&
((?[X]:((wise(X)|~generous(X))))<=>(?[X]:((~rich(X)&patient(X)))))&
(![X]:((calm(X)&curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((~funny(X)|~patien... | ~wise(lucy) | [
"p4",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4071359403734458588310026
% SZS output start Proof for 4071359403734458588310026
5. ! [X0] : ((curious(X0) & calm(X0)) <=> (wise(X0) & ~humble(X0))) [input p4]
11. ! [X0] : (~wise(X0) <=> (~kind(X0) <~> humble(X0))) [input p10]
14. ! [X0] : ((curious(X0) | ~strong(X0)) <=> ~wise(X0)) [inp... | 0 |
If lucy is old or patient then lucy is either quiet or not humble. If paul is both not quiet and humble then someone is either not calm or quiet. If lucy is rich then someone is either not happy or not curious and vice versa. Everyone who is not strong is either not happy or wise and vice versa. If susan is either not ... | John is rich. | entailment | (((old(lucy)|patient(lucy)))=>((quiet(lucy)<~>~humble(lucy))))&
(((~quiet(paul)&humble(paul)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
((rich(lucy))<=>(?[X]:((~happy(X)<~>~curious(X)))))&
(![X]:(~strong(X)<=>(~happy(X)<~>wise(X))))&
(((~funny(susan)<~>generous(susan)))<=>(happy(paul)))&
(![X]:((strong(X)<~>~kind(X))<=>(~funn... | rich(john) | [
"p7",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9042473750212279823847972
% SZS output start Proof for 9042473750212279823847972
8. ! [X0] : (curious(X0) => rich(X0)) [input p7]
11. ! [X0] : ((strong(X0) | ~old(X0)) <=> (curious(X0) & creative(X0))) [input p10]
20. ~old(john) [input p19]
25. ~rich(john) [input hypothesis]
31. ! [X0] : ... | 0 |
If mary is strong then fred is both not strong and not curious.
If paul is both not patient and quiet then fred is either rich or not brave.
If someone is either happy or not old then susan is either not funny or not strong.
Everyone who is either brave or strong is either not strong or not rich.
Everyone who is tall i... | Susan is tall. | neutral | ((strong(mary))=>((~strong(fred)&~curious(fred))))&
(((~patient(paul)&quiet(paul)))=>((rich(fred)<~>~brave(fred))))&
((?[X]:((happy(X)<~>~old(X))))=>((~funny(susan)<~>~strong(susan))))&
(![X]:((brave(X)<~>strong(X))=>(~strong(X)<~>~rich(X))))&
(![X]:(tall(X)=>(~rich(X)&happy(X))))&
(![X]:((~funny(X)|strong(X))=>(creati... | tall(susan) | [] | null | 0 |
If john is quiet or not tall then mary is either not wise or creative and vice versa.
Everyone who is both quiet and rich is generous or funny and vice versa.
If mary is both wise and rich then someone is both not quiet and brave and vice versa.
Everyone who is curious or funny is not rich.
If someone is either not old... | John is not patient. | neutral | (((quiet(john)|~tall(john)))<=>((~wise(mary)<~>creative(mary))))&
(![X]:((quiet(X)&rich(X))<=>(generous(X)|funny(X))))&
(((wise(mary)&rich(mary)))<=>(?[X]:((~quiet(X)&brave(X)))))&
(![X]:((curious(X)|funny(X))=>~rich(X)))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[X]:((~humble(X)&tall(X)))))&
((?[X]:((generous(X)&~generous(X)... | ~patient(john) | [] | null | 0 |
If mary is generous or not calm then someone is both humble and not kind and vice versa.
If someone is either generous or not curious then john is either not strong or kind and vice versa.
If someone is both not humble and tall then paul is either humble or not generous and vice versa.
If someone is both happy and rich... | Mary is funny. | contradiction | (((generous(mary)|~calm(mary)))<=>(?[X]:((humble(X)&~kind(X)))))&
((?[X]:((generous(X)<~>~curious(X))))<=>((~strong(john)<~>kind(john))))&
((?[X]:((~humble(X)&tall(X))))<=>((humble(paul)<~>~generous(paul))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(((~creative(susan)&~kind(susan)))=>(?[X]:(cr... | funny(mary) | [
"p3",
"p5",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 849545445540520004451789
% SZS output start Proof for 849545445540520004451789
4. ? [X0] : (rich(X0) & happy(X0)) => ? [X0] : (~strong(X0) & ~patient(X0)) [input p3]
6. ? [X0] : (~rich(X0) & ~patient(X0)) => (patient(mary) & ~wise(mary)) [input p5]
11. (funny(mary) <~> ~happy(mary)) <=> c... | 0 |
If someone is not quiet then someone is both not brave and generous and vice versa. If fred is either creative or humble then someone is either not kind or happy. Everyone who is either brave or creative is not wise. If someone is both not rich and kind then paul is both generous and quiet and vice versa. If someone is... | Lucy is old. | contradiction | ((?[X]:(~quiet(X)))<=>(?[X]:((~brave(X)&generous(X)))))&
(((creative(fred)<~>humble(fred)))=>(?[X]:((~kind(X)<~>happy(X)))))&
(![X]:((brave(X)<~>creative(X))=>~wise(X)))&
((?[X]:((~rich(X)&kind(X))))<=>((generous(paul)&quiet(paul))))&
((?[X]:((~calm(X)&~patient(X))))=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:(~calm(X)=>(hu... | old(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 766836178050784573663572
% SZS output start Proof for 766836178050784573663572
17. curious(lucy) & ~old(lucy) [input p16]
25. old(lucy) [input hypothesis]
32. ~old(lucy) [pure predicate removal 17]
139. ~old(lucy) [cnf transformation 32]
147. old(lucy) [cnf transformation 25]
349. $false ... | 0 |
If susan is both not happy and kind then someone is either not calm or wise and vice versa.
Everyone who is either happy or not humble is humble or tall and vice versa.
Everyone who is kind or calm is both patient and not quiet and vice versa.
Everyone who is not rich or happy is not kind.
Everyone who is either patien... | Lucy is old. | contradiction | (((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X))<=>(humble(X)|tall(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&~quiet(X))))&
(![X]:((~rich(X)|happy(X))=>~kind(X)))&
(![X]:((patient(X)<~>generous(X))<=>(kind(X)&happy(X))))&
(((~rich(john)<~>old(john)))<=>((humble(paul)<~>... | old(lucy) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8953797195530621681566963
% SZS output start Proof for 8953797195530621681566963
3. ! [X0] : ((calm(X0) | kind(X0)) <=> (~quiet(X0) & patient(X0))) [input p2]
13. ! [X0] : ((old(X0) & ~patient(X0)) <=> strong(X0)) [input p12]
16. ? [X0] : old(X0) <=> (strong(john) & kind(john)) [input p15... | 0 |
If someone is humble then someone is both happy and creative.
If someone is both not old and not quiet then someone is either wise or not tall and vice versa.
If paul is quiet then someone is both not wise and not funny.
If mary is both brave and rich then paul is not curious.
Everyone who is both curious and brave is ... | Paul is wise. | contradiction | ((?[X]:(humble(X)))=>(?[X]:((happy(X)&creative(X)))))&
((?[X]:((~old(X)&~quiet(X))))<=>(?[X]:((wise(X)<~>~tall(X)))))&
((quiet(paul))=>(?[X]:((~wise(X)&~funny(X)))))&
(((brave(mary)&rich(mary)))=>(~curious(paul)))&
(![X]:((curious(X)&brave(X))<=>funny(X)))&
((tall(lucy))<=>(kind(lucy)))&
(((~creative(john)&~happy(john)... | wise(paul) | [
"p1",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8649272860843777588453587
% SZS output start Proof for 8649272860843777588453587
2. ? [X0] : (~quiet(X0) & ~old(X0)) <=> ? [X0] : (wise(X0) <~> ~tall(X0)) [input p1]
16. ! [X0] : ((old(X0) <~> ~curious(X0)) <=> curious(X0)) [input p15]
17. tall(paul) [input p16]
24. wise(paul) [input hypo... | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Fred is generous. | entailment | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | generous(fred) | [
"p2",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5007430318803728771801969
% SZS output start Proof for 5007430318803728771801969
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
10. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0)) [input p9]
11. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (creative(X... | 0 |
If someone is either old or wise then lucy is old.
If fred is both not creative and not happy then susan is either not patient or curious and vice versa.
Everyone who is both not quiet and curious is either wise or kind and vice versa.
If someone is calm then alice is both creative and tall and vice versa.
Everyone who... | Lucy is rich. | entailment | ((?[X]:((old(X)<~>wise(X))))=>(old(lucy)))&
(((~creative(fred)&~happy(fred)))<=>((~patient(susan)<~>curious(susan))))&
(![X]:((~quiet(X)&curious(X))<=>(wise(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~c... | rich(lucy) | [
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2449697121209340070589851
% SZS output start Proof for 2449697121209340070589851
12. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [input p11]
13. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p12]
14. ! [X0] : ((~creative(X0) & funny(X0))... | 0 |
Everyone who is rich is kind and vice versa. Everyone who is both not rich and not strong is quiet and vice versa. If susan is not curious then paul is not generous or not wise. Everyone who is not creative is not tall and vice versa. Everyone who is either not humble or tall is not strong or not happy. Everyone who is... | Susan is not kind. | entailment | (![X]:(rich(X)<=>kind(X)))&
(![X]:((~rich(X)&~strong(X))<=>quiet(X)))&
((~curious(susan))=>((~generous(paul)|~wise(paul))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>tall(X))=>(~strong(X)|~happy(X))))&
(![X]:((creative(X)|quiet(X))=>(calm(X)<~>brave(X))))&
(((~quiet(lucy)<~>~funny(lucy)))<=>(?[X]:((~quiet... | ~kind(susan) | [
"p0",
"p1",
"p3",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4143016278058149239113360
% SZS output start Proof for 4143016278058149239113360
1. ! [X0] : (rich(X0) <=> kind(X0)) [input p0]
2. ! [X0] : ((~strong(X0) & ~rich(X0)) <=> quiet(X0)) [input p1]
4. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p3]
9. ! [X0] : (patient(X0) <=> (quiet(X0) <~>... | 0 |
If john is both patient and rich then john is quiet or not happy and vice versa.
If someone is both not generous and patient then someone is not patient or not generous and vice versa.
Everyone who is both not patient and rich is both generous and happy.
Everyone who is both not tall and tall is either not humble or no... | Susan is not kind. | neutral | (((patient(john)&rich(john)))<=>((quiet(john)|~happy(john))))&
((?[X]:((~generous(X)&patient(X))))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~patient(X)&rich(X))=>(generous(X)&happy(X))))&
(![X]:((~tall(X)&tall(X))<=>(~humble(X)<~>~generous(X))))&
((~tall(fred))=>((~old(susan)&~curious(susan))))&
(![X]:(funny(X)=... | ~kind(susan) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and not happy is either kind or not generous.
Everyone ... | Alice is not curious. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&~happy(X))=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~pat... | ~curious(alice) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p13",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8374150567152451130314940
% SZS output start Proof for 8374150567152451130314940
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
4. ! [X0] : ((brave(X0) <~> ~patient(X0)) => patient(X0)) [... | 0 |
If john is humble then john is old.
If mary is not kind or not humble then someone is not brave and vice versa.
If mary is either wise or not generous then mary is not kind or not brave.
Everyone who is quiet or funny is not funny.
If someone is both generous and wise then fred is either not humble or not patient.
Ever... | Alice is not funny. | entailment | ((humble(john))=>(old(john)))&
(((~kind(mary)|~humble(mary)))<=>(?[X]:(~brave(X))))&
(((wise(mary)<~>~generous(mary)))=>((~kind(mary)|~brave(mary))))&
(![X]:((quiet(X)|funny(X))=>~funny(X)))&
((?[X]:((generous(X)&wise(X))))=>((~humble(fred)<~>~patient(fred))))&
(![X]:(~rich(X)=>(funny(X)&~quiet(X))))&
(![X]:((patient(X... | ~funny(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6150452028806593801519950
% SZS output start Proof for 6150452028806593801519950
4. ! [X0] : ((funny(X0) | quiet(X0)) => ~funny(X0)) [input p3]
21. funny(alice) [input hypothesis]
28. ! [X0] : (~funny(X0) | (~funny(X0) & ~quiet(X0))) [ennf transformation 4]
65. ~funny(X0) | ~funny(X0) [cn... | 0 |
Everyone who is either not generous or not brave is brave or not wise and vice versa.
Everyone who is both old and generous is both not happy and not quiet and vice versa.
Everyone who is not tall or not strong is either not curious or kind and vice versa.
Everyone who is kind or not quiet is both creative and old.
If ... | Lucy is not wise. | neutral | (![X]:((~generous(X)<~>~brave(X))<=>(brave(X)|~wise(X))))&
(![X]:((old(X)&generous(X))<=>(~happy(X)&~quiet(X))))&
(![X]:((~tall(X)|~strong(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((kind(X)|~quiet(X))=>(creative(X)&old(X))))&
((~old(john))=>((tall(paul)|happy(paul))))&
(![X]:((strong(X)&~kind(X))=>funny(X)))&
(![X]:((hap... | ~wise(lucy) | [] | null | 0 |
If alice is old then lucy is kind and vice versa. If someone is not calm or not happy then someone is either strong or not old and vice versa. If someone is not brave then someone is humble and vice versa. If someone is either wise or not strong then someone is calm or rich. Everyone who is not rich is not rich or happ... | Paul is happy. | contradiction | ((old(alice))<=>(kind(lucy)))&
((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:((strong(X)<~>~old(X)))))&
((?[X]:(~brave(X)))<=>(?[X]:(humble(X))))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:(~rich(X)<=>(~rich(X)|happy(X))))&
(![X]:(~generous(X)<=>(curious(X)<~>~curious(X))))&
(![X]:((rich(X)<~>~calm(... | happy(paul) | [
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5221429726719049360139237
% SZS output start Proof for 5221429726719049360139237
5. ! [X0] : (~rich(X0) <=> (happy(X0) | ~rich(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (curious(X0) <~> ~curious(X0))) [input p5]
10. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (wise(X0) | ~wise(X0))) [inp... | 0 |
If someone is not brave or not tall then mary is either generous or curious and vice versa.
Everyone who is both not rich and happy is both funny and not kind and vice versa.
Everyone who is both calm and kind is both kind and not happy and vice versa.
Everyone who is both not old and not creative is not patient or not... | Paul is not tall. | neutral | ((?[X]:((~brave(X)|~tall(X))))<=>((generous(mary)<~>curious(mary))))&
(![X]:((~rich(X)&happy(X))<=>(funny(X)&~kind(X))))&
(![X]:((calm(X)&kind(X))<=>(kind(X)&~happy(X))))&
(![X]:((~old(X)&~creative(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~generous(X)<~>kind(X))<=>(creative(X)&~generous(X))))&
(![X]:((~calm(X)|wise(X)... | ~tall(paul) | [] | null | 0 |
If mary is not kind then someone is either not strong or kind and vice versa.
Everyone who is creative is both not happy and curious and vice versa.
Everyone who is not rich is both not quiet and not calm and vice versa.
Everyone who is tall or curious is either calm or not kind.
Everyone who is strong or not calm is e... | Mary is not tall. | neutral | ((~kind(mary))<=>(?[X]:((~strong(X)<~>kind(X)))))&
(![X]:(creative(X)<=>(~happy(X)&curious(X))))&
(![X]:(~rich(X)<=>(~quiet(X)&~calm(X))))&
(![X]:((tall(X)|curious(X))=>(calm(X)<~>~kind(X))))&
(![X]:((strong(X)|~calm(X))=>(curious(X)<~>strong(X))))&
((?[X]:(~patient(X)))=>(?[X]:(generous(X))))&
(((rich(john)|patient(jo... | ~tall(mary) | [] | null | 0 |
Everyone who is both strong and calm is not generous or not strong and vice versa.
Everyone who is happy is both not tall and old and vice versa.
If someone is both not humble and tall then alice is either tall or not happy.
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then ... | Alice is not patient. | contradiction | (![X]:((strong(X)&calm(X))<=>(~generous(X)|~strong(X))))&
(![X]:(happy(X)<=>(~tall(X)&old(X))))&
((?[X]:((~humble(X)&tall(X))))=>((tall(alice)<~>~happy(alice))))&
(![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
... | ~patient(alice) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 136615385980346960021385
% SZS output start Proof for 136615385980346960021385
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
10. ? [X0] : (~strong(X0) <~> ~patient(X0)) <=> ? [X0] : ~strong(X0) [input p9]
21. ~patient(alice) [input hypothesis]
22. ? [X... | 0 |
Everyone who is humble or not funny is not brave or curious. If someone is quiet then fred is not rich and vice versa. If someone is not happy then someone is rich or funny. Everyone who is patient or not brave is both curious and not wise and vice versa. Everyone who is either not funny or rich is rich or not patient.... | Lucy is not old. | contradiction | (![X]:((humble(X)|~funny(X))=>(~brave(X)|curious(X))))&
((?[X]:(quiet(X)))<=>(~rich(fred)))&
((?[X]:(~happy(X)))=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((patient(X)|~brave(X))<=>(curious(X)&~wise(X))))&
(![X]:((~funny(X)<~>rich(X))=>(rich(X)|~patient(X))))&
(![X]:((~happy(X)&~tall(X))<=>(kind(X)|~patient(X))))&
(![X]:((~... | ~old(lucy) | [
"p1",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5602876385915549796461677
% SZS output start Proof for 5602876385915549796461677
2. ? [X0] : quiet(X0) <=> ~rich(fred) [input p1]
9. ! [X0] : ((~funny(X0) | quiet(X0)) <=> (kind(X0) & ~kind(X0))) [input p8]
10. ? [X0] : ~old(X0) => happy(fred) [input p9]
12. ! [X0] : ((funny(X0) | ~brave(... | 0 |
Everyone who is both not wise and not kind is not curious or not creative and vice versa.
Everyone who is not rich is not rich or not funny.
Everyone who is happy is kind or rich.
Everyone who is either kind or not funny is both curious and not tall and vice versa.
If mary is not generous or not patient then john is bo... | Susan is not generous. | neutral | (![X]:((~wise(X)&~kind(X))<=>(~curious(X)|~creative(X))))&
(![X]:(~rich(X)=>(~rich(X)|~funny(X))))&
(![X]:(happy(X)=>(kind(X)|rich(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(curious(X)&~tall(X))))&
(((~generous(mary)|~patient(mary)))=>((tall(john)&happy(john))))&
(![X]:(~calm(X)<=>(~calm(X)|old(X))))&
((?[X]:((funny(X)&hum... | ~generous(susan) | [] | null | 0 |
If someone is funny or not strong then john is not humble and vice versa.
Everyone who is both not funny and not tall is not strong or not calm.
If fred is either generous or funny then someone is funny or not tall and vice versa.
If someone is not tall then someone is both calm and quiet and vice versa.
If someone is ... | Susan is not happy. | contradiction | ((?[X]:((funny(X)|~strong(X))))<=>(~humble(john)))&
(![X]:((~funny(X)&~tall(X))=>(~strong(X)|~calm(X))))&
(((generous(fred)<~>funny(fred)))<=>(?[X]:((funny(X)|~tall(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)&quiet(X)))))&
((?[X]:((patient(X)<~>~generous(X))))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~creative(X)<~>~p... | ~happy(susan) | [
"p7",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2384154383071196610753243
% SZS output start Proof for 2384154383071196610753243
8. ! [X0] : ((kind(X0) | ~calm(X0)) => (~tall(X0) & ~patient(X0))) [input p7]
9. ! [X0] : (~tall(X0) => (happy(X0) & brave(X0))) [input p8]
18. kind(susan) [input p17]
23. ~happy(susan) [input hypothesis]
32.... | 0 |
Everyone who is brave or kind is either wise or not old and vice versa.
Everyone who is either not happy or not calm is both not patient and calm and vice versa.
If someone is patient or tall then someone is either not curious or kind and vice versa.
If john is quiet or not strong then someone is not rich.
If someone i... | Paul is not kind. | neutral | (![X]:((brave(X)|kind(X))<=>(wise(X)<~>~old(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>(~patient(X)&calm(X))))&
((?[X]:((patient(X)|tall(X))))<=>(?[X]:((~curious(X)<~>kind(X)))))&
(((quiet(john)|~strong(john)))=>(?[X]:(~rich(X))))&
((?[X]:((funny(X)<~>~calm(X))))<=>((~calm(alice)|~wise(alice))))&
(![X]:((brave(X)&calm(X))<... | ~kind(paul) | [] | null | 0 |
If someone is humble then fred is either not creative or not kind and vice versa. If alice is not curious or not patient then someone is either generous or brave. If someone is either not creative or funny then mary is both not curious and not calm and vice versa. Everyone who is brave or not humble is both not brave a... | Susan is humble. | entailment | ((?[X]:(humble(X)))<=>((~creative(fred)<~>~kind(fred))))&
(((~curious(alice)|~patient(alice)))=>(?[X]:((generous(X)<~>brave(X)))))&
((?[X]:((~creative(X)<~>funny(X))))<=>((~curious(mary)&~calm(mary))))&
(![X]:((brave(X)|~humble(X))=>(~brave(X)&curious(X))))&
((?[X]:((brave(X)<~>quiet(X))))=>(?[X]:((patient(X)<~>~creati... | humble(susan) | [
"p3",
"p7",
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6985912797134729535429600
% SZS output start Proof for 6985912797134729535429600
4. ! [X0] : ((~humble(X0) | brave(X0)) => (curious(X0) & ~brave(X0))) [input p3]
8. ! [X0] : ((humble(X0) | calm(X0)) <=> ~patient(X0)) [input p7]
10. ! [X0] : ((curious(X0) <~> humble(X0)) => (funny(X0) | ~c... | 0 |
Everyone who is not calm is not quiet or brave.
Everyone who is both generous and not generous is either not calm or curious.
Everyone who is brave or curious is wise or not strong.
Everyone who is funny or happy is either rich or tall and vice versa.
Everyone who is kind or not humble is not humble and vice versa.
Eve... | Fred is not tall. | neutral | (![X]:(~calm(X)=>(~quiet(X)|brave(X))))&
(![X]:((generous(X)&~generous(X))=>(~calm(X)<~>curious(X))))&
(![X]:((brave(X)|curious(X))=>(wise(X)|~strong(X))))&
(![X]:((funny(X)|happy(X))<=>(rich(X)<~>tall(X))))&
(![X]:((kind(X)|~humble(X))<=>~humble(X)))&
(![X]:((~happy(X)<~>~rich(X))<=>(brave(X)<~>happy(X))))&
((?[X]:((~... | ~tall(fred) | [] | null | 0 |
If paul is either not curious or not humble then someone is not funny or not curious and vice versa. If paul is not creative then john is both creative and not old. Everyone who is both quiet and not curious is old or not humble and vice versa. If someone is both tall and not curious then alice is funny or not curious.... | Paul is not strong. | entailment | (((~curious(paul)<~>~humble(paul)))<=>(?[X]:((~funny(X)|~curious(X)))))&
((~creative(paul))=>((creative(john)&~old(john))))&
(![X]:((quiet(X)&~curious(X))<=>(old(X)|~humble(X))))&
((?[X]:((tall(X)&~curious(X))))=>((funny(alice)|~curious(alice))))&
(![X]:((~curious(X)<~>old(X))=>~strong(X)))&
(![X]:(creative(X)=>~funny(... | ~strong(paul) | [
"p0",
"p2",
"p4",
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7585417462591481455610095
% SZS output start Proof for 7585417462591481455610095
1. (~curious(paul) <~> ~humble(paul)) <=> ? [X0] : (~curious(X0) | ~funny(X0)) [input p0]
3. ! [X0] : ((~curious(X0) & quiet(X0)) <=> (~humble(X0) | old(X0))) [input p2]
5. ! [X0] : ((~curious(X0) <~> old(X0)... | 0 |
If fred is either not curious or strong then someone is old or not curious.
If someone is curious then mary is both not old and generous and vice versa.
Everyone who is not curious is both not generous and not old and vice versa.
Everyone who is not kind or wise is funny.
Everyone who is either brave or rich is tall.
E... | Alice is not happy. | contradiction | (((~curious(fred)<~>strong(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(![X]:((brave(X)<~>rich(X))=>tall(X)))&
(![X]:(~old(X)=>(~generous(X)&~calm(X))))&
(((old(susan)<~>~strong(susa... | ~happy(alice) | [
"p1",
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6394691199442064162167328
% SZS output start Proof for 6394691199442064162167328
2. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p1]
3. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p2]
6. ! [X0] : (~old(X0) => (~calm(X0) & ~generous(X0))) [input p5]
14. !... | 0 |
Everyone who is both kind and tall is either brave or not wise and vice versa.
If someone is not humble or creative then lucy is both not kind and creative and vice versa.
If someone is either funny or not rich then lucy is not curious or tall.
If fred is either not patient or funny then someone is either not curious o... | Lucy is not old. | entailment | (![X]:((kind(X)&tall(X))<=>(brave(X)<~>~wise(X))))&
((?[X]:((~humble(X)|creative(X))))<=>((~kind(lucy)&creative(lucy))))&
((?[X]:((funny(X)<~>~rich(X))))=>((~curious(lucy)|tall(lucy))))&
(((~patient(fred)<~>funny(fred)))=>(?[X]:((~curious(X)<~>~patient(X)))))&
(![X]:(~calm(X)=>~wise(X)))&
(![X]:((humble(X)&~rich(X))<=>... | ~old(lucy) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 849625106758529300259822
% SZS output start Proof for 849625106758529300259822
8. ! [X0] : ((humble(X0) | generous(X0)) => (~tall(X0) & ~old(X0))) [input p7]
17. generous(lucy) <~> ~old(lucy) [input p16]
22. old(lucy) [input hypothesis]
31. ! [X0] : ((~tall(X0) & ~old(X0)) | (~humble(X0) ... | 0 |
If lucy is not strong then susan is creative or not creative and vice versa. Everyone who is both brave and not old is strong or patient and vice versa. If someone is rich then paul is either humble or happy. If mary is both not happy and creative then someone is both not creative and generous and vice versa. If someon... | John is not creative. | neutral | ((~strong(lucy))<=>((creative(susan)|~creative(susan))))&
(![X]:((brave(X)&~old(X))<=>(strong(X)|patient(X))))&
((?[X]:(rich(X)))=>((humble(paul)<~>happy(paul))))&
(((~happy(mary)&creative(mary)))<=>(?[X]:((~creative(X)&generous(X)))))&
((?[X]:((~curious(X)<~>generous(X))))=>((funny(john)<~>calm(john))))&
((?[X]:((~gen... | ~creative(john) | [] | null | 0 |
If someone is old then john is not brave or creative. Everyone who is curious or not old is either not creative or not wise. Everyone who is both not strong and wise is not curious or creative. Everyone who is old or not brave is both not curious and tall. Everyone who is not happy or not strong is generous. Everyone w... | Paul is not calm. | neutral | ((?[X]:(old(X)))=>((~brave(john)|creative(john))))&
(![X]:((curious(X)|~old(X))=>(~creative(X)<~>~wise(X))))&
(![X]:((~strong(X)&wise(X))=>(~curious(X)|creative(X))))&
(![X]:((old(X)|~brave(X))=>(~curious(X)&tall(X))))&
(![X]:((~happy(X)|~strong(X))=>generous(X)))&
(![X]:(humble(X)=>(kind(X)|~funny(X))))&
(((patient(ma... | ~calm(paul) | [] | null | 0 |
Everyone who is either not happy or happy is tall and vice versa. Everyone who is either not patient or not tall is old or happy. If someone is not old or kind then susan is both wise and tall and vice versa. Everyone who is both not kind and old is not creative. Everyone who is creative or not strong is both strong an... | Alice is wise. | contradiction | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((~patient(X)<~>~tall(X))=>(old(X)|happy(X))))&
((?[X]:((~old(X)|kind(X))))<=>((wise(susan)&tall(susan))))&
(![X]:((~kind(X)&old(X))=>~creative(X)))&
(![X]:((creative(X)|~strong(X))=>(strong(X)&curious(X))))&
(((~strong(lucy)<~>~creative(lucy)))<=>(?[X]:((~happy(X)&~pati... | wise(alice) | [
"p0",
"p4",
"p7",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5064272315701938693925375
% SZS output start Proof for 5064272315701938693925375
1. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> tall(X0)) [input p0]
5. ! [X0] : ((~strong(X0) | creative(X0)) => (curious(X0) & strong(X0))) [input p4]
8. ! [X0] : ((generous(X0) <~> old(X0)) <=> (~wise(X0) | ~h... | 0 |
If someone is not humble then someone is both calm and not happy.
If fred is tall then paul is either old or not happy.
Everyone who is either not brave or quiet is curious or not funny and vice versa.
If paul is not humble or old then someone is creative or not humble and vice versa.
If someone is either not creative ... | Paul is not kind. | neutral | ((?[X]:(~humble(X)))=>(?[X]:((calm(X)&~happy(X)))))&
((tall(fred))=>((old(paul)<~>~happy(paul))))&
(![X]:((~brave(X)<~>quiet(X))<=>(curious(X)|~funny(X))))&
(((~humble(paul)|old(paul)))<=>(?[X]:((creative(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(~rich(X)=>(humble(X)|... | ~kind(paul) | [] | null | 0 |
If lucy is brave or wise then alice is both generous and not happy.
If mary is either not generous or not old then alice is both not patient and not quiet and vice versa.
If alice is not strong then someone is creative.
Everyone who is not tall or not kind is not creative and vice versa.
If john is both wise and not br... | Lucy is quiet. | neutral | (((brave(lucy)|wise(lucy)))=>((generous(alice)&~happy(alice))))&
(((~generous(mary)<~>~old(mary)))<=>((~patient(alice)&~quiet(alice))))&
((~strong(alice))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)|~kind(X))<=>~creative(X)))&
(((wise(john)&~brave(john)))=>((calm(mary)&humble(mary))))&
(![X]:((humble(X)|quiet(X))=>(wise(X... | quiet(lucy) | [] | null | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny 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 is ... | Paul is not humble. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(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)|humb... | ~humble(paul) | [
"p1",
"p4",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 70148062988375210932621
% SZS output start Proof for 70148062988375210932621
2. ! [X0] : ((~funny(X0) | generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
9. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input p8]
... | 0 |
If someone is either brave or not curious then someone is strong or curious.
If someone is either generous or calm then fred is both not kind and rich and vice versa.
Everyone who is either wise or not strong is either calm or not calm.
If lucy is humble or not wise then susan is not funny or strong.
Everyone who is ei... | Fred is quiet. | entailment | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((generous(X)<~>calm(X))))<=>((~kind(fred)&rich(fred))))&
(![X]:((wise(X)<~>~strong(X))=>(calm(X)<~>~calm(X))))&
(((humble(lucy)|~wise(lucy)))=>((~funny(susan)|strong(susan))))&
(![X]:((~tall(X)<~>curious(X))=>~tall(X)))&
((generous(susan))<=>... | quiet(fred) | [
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5443686794861476211284139
% SZS output start Proof for 5443686794861476211284139
7. ! [X0] : (patient(X0) <=> strong(X0)) [input p6]
9. ! [X0] : ((patient(X0) & ~creative(X0)) <=> ~brave(X0)) [input p8]
10. ! [X0] : (quiet(X0) <=> (strong(X0) | kind(X0))) [input p9]
14. ! [X0] : ((happy(X... | 0 |
If lucy is not calm then john is both humble and tall.
If someone is both not brave and happy then alice is both not strong and quiet.
If alice is humble then someone is patient or rich and vice versa.
Everyone who is either not kind or calm is both not tall and not rich and vice versa.
If someone is not tall then some... | Alice is not happy. | neutral | ((~calm(lucy))=>((humble(john)&tall(john))))&
((?[X]:((~brave(X)&happy(X))))=>((~strong(alice)&quiet(alice))))&
((humble(alice))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~tall(X)&~rich(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
((?[X]:(~generous(X)))=>(?[X]:(~old(X))))&
(![X]:(... | ~happy(alice) | [] | null | 0 |
If someone is not calm then paul is either not generous or wise. Everyone who is either not strong or humble is either tall or kind. Everyone who is both calm and not happy is not humble. If someone is both funny and not curious then someone is not old or creative and vice versa. Everyone who is both not creative and t... | Mary is creative. | contradiction | ((?[X]:(~calm(X)))=>((~generous(paul)<~>wise(paul))))&
(![X]:((~strong(X)<~>humble(X))=>(tall(X)<~>kind(X))))&
(![X]:((calm(X)&~happy(X))=>~humble(X)))&
((?[X]:((funny(X)&~curious(X))))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((~creative(X)&tall(X))<=>calm(X)))&
(((wise(susan)<~>~happy(susan)))<=>((funny(alice)|kind(a... | creative(mary) | [
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2942405060581826952808265
% SZS output start Proof for 2942405060581826952808265
5. ! [X0] : ((tall(X0) & ~creative(X0)) <=> calm(X0)) [input p4]
8. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~strong(X0) | brave(X0))) [input p7]
14. ! [X0] : ((~curious(X0) | strong(X0)) => ~strong(X0)) [input ... | 0 |
Everyone who is both humble and not rich is either not calm or not brave.
If someone is either creative or not old then paul is both wise and not calm.
If someone is patient then someone is not wise and vice versa.
Everyone who is not funny or humble is both not happy and not tall.
Everyone who is not rich or strong is... | Fred is not curious. | contradiction | (![X]:((humble(X)&~rich(X))=>(~calm(X)<~>~brave(X))))&
((?[X]:((creative(X)<~>~old(X))))=>((wise(paul)&~calm(paul))))&
((?[X]:(patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|humble(X))=>(~happy(X)&~tall(X))))&
(![X]:((~rich(X)|strong(X))<=>(curious(X)<~>patient(X))))&
(![X]:((~kind(X)|~creative(X))<=>(humble(X)&~... | ~curious(fred) | [
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7613576670659104746875871
% SZS output start Proof for 7613576670659104746875871
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) & ~happy(X0))) [input p3]
12. (generous(fred) & ~funny(fred)) <=> ? [X0] : (~humble(X0) | patient(X0)) [input p11]
13. ! [X0] : ((quiet(X0) & tall(X0)) <=>... | 0 |
Everyone who is either wise or old is both not rich and old. If susan is kind or tall then mary is both not calm and happy and vice versa. Everyone who is either generous or not tall is humble or strong. If someone is humble or creative then someone is patient. Everyone who is not calm or strong is tall. Everyone who i... | Alice is creative. | contradiction | (![X]:((wise(X)<~>old(X))=>(~rich(X)&old(X))))&
(((kind(susan)|tall(susan)))<=>((~calm(mary)&happy(mary))))&
(![X]:((generous(X)<~>~tall(X))=>(humble(X)|strong(X))))&
((?[X]:((humble(X)|creative(X))))=>(?[X]:(patient(X))))&
(![X]:((~calm(X)|strong(X))=>tall(X)))&
(![X]:((curious(X)&~generous(X))<=>rich(X)))&
((?[X]:((w... | creative(alice) | [
"p0",
"p6",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5865098114973426753731652
% SZS output start Proof for 5865098114973426753731652
1. ! [X0] : ((wise(X0) <~> old(X0)) => (old(X0) & ~rich(X0))) [input p0]
7. ? [X0] : (~tall(X0) & wise(X0)) <=> ? [X0] : (wise(X0) <~> ~strong(X0)) [input p6]
9. ! [X0] : ((patient(X0) & old(X0)) <=> (~tall(X... | 0 |
If susan is either strong or funny then someone is not wise or not tall. Everyone who is brave is either wise or not happy and vice versa. Everyone who is both not tall and happy is kind or not curious and vice versa. Everyone who is not tall is both not tall and funny and vice versa. If lucy is not calm or not creativ... | Susan is not wise. | neutral | (((strong(susan)<~>funny(susan)))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:(brave(X)<=>(wise(X)<~>~happy(X))))&
(![X]:((~tall(X)&happy(X))<=>(kind(X)|~curious(X))))&
(![X]:(~tall(X)<=>(~tall(X)&funny(X))))&
(((~calm(lucy)|~creative(lucy)))<=>(?[X]:(calm(X))))&
(![X]:((tall(X)<~>kind(X))<=>humble(X)))&
(((~brave(lucy)|calm... | ~wise(susan) | [] | null | 0 |
Everyone who is generous or patient is both not calm and curious.
If someone is either not curious or strong then susan is either quiet or not curious.
Everyone who is not brave is either not funny or not patient and vice versa.
Everyone who is both not humble and not brave is not patient and vice versa.
If someone is ... | Lucy is not brave. | entailment | (![X]:((generous(X)|patient(X))=>(~calm(X)&curious(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>((quiet(susan)<~>~curious(susan))))&
(![X]:(~brave(X)<=>(~funny(X)<~>~patient(X))))&
(![X]:((~humble(X)&~brave(X))<=>~patient(X)))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)<~>~creative(X)))))&
(![X]:(brave(X)=>(~humble(X)&~curio... | ~brave(lucy) | [
"p0",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 901543174547095204518372
% SZS output start Proof for 901543174547095204518372
1. ! [X0] : ((patient(X0) | generous(X0)) => (curious(X0) & ~calm(X0))) [input p0]
4. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (brave(X0) => (~curious(X0) & ~humble(X0))) [i... | 0 |
If someone is both rich and not humble then paul is both not old and not calm and vice versa. If lucy is not kind then someone is not rich. Everyone who is both not rich and not generous is either old or curious and vice versa. Everyone who is curious is curious or kind and vice versa. Everyone who is either not genero... | John is curious. | neutral | ((?[X]:((rich(X)&~humble(X))))<=>((~old(paul)&~calm(paul))))&
((~kind(lucy))=>(?[X]:(~rich(X))))&
(![X]:((~rich(X)&~generous(X))<=>(old(X)<~>curious(X))))&
(![X]:(curious(X)<=>(curious(X)|kind(X))))&
(![X]:((~generous(X)<~>happy(X))=>(~funny(X)<~>generous(X))))&
(![X]:((~kind(X)<~>rich(X))<=>(~kind(X)|tall(X))))&
((?[X... | curious(john) | [] | null | 0 |
If someone is not generous then lucy is creative and vice versa.
If fred is both not happy and not calm then john is curious or wise and vice versa.
Everyone who is both creative and curious is both happy and tall and vice versa.
Everyone who is either not brave or rich is both not wise and not brave and vice versa.
Ev... | John is happy. | neutral | ((?[X]:(~generous(X)))<=>(creative(lucy)))&
(((~happy(fred)&~calm(fred)))<=>((curious(john)|wise(john))))&
(![X]:((creative(X)&curious(X))<=>(happy(X)&tall(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:(~tall(X)=>(~wise(X)|rich(X))))&
(((~strong(alice)<~>~kind(alice)))<=>((brave(fred)&tall(fred)))... | happy(john) | [] | null | 0 |
Everyone who is not humble or not curious is both not strong and calm. Everyone who is not happy or patient is not strong or kind. Everyone who is either brave or not old is either tall or not old and vice versa. Everyone who is tall or not quiet is both happy and not brave and vice versa. If susan is both not humble a... | Lucy is wise. | neutral | (![X]:((~humble(X)|~curious(X))=>(~strong(X)&calm(X))))&
(![X]:((~happy(X)|patient(X))=>(~strong(X)|kind(X))))&
(![X]:((brave(X)<~>~old(X))<=>(tall(X)<~>~old(X))))&
(![X]:((tall(X)|~quiet(X))<=>(happy(X)&~brave(X))))&
(((~humble(susan)&calm(susan)))<=>(?[X]:(rich(X))))&
((?[X]:((brave(X)&creative(X))))=>(?[X]:((~tall(X... | wise(lucy) | [] | null | 0 |
Everyone who is not wise or calm is tall or not brave. If someone is both not tall and rich then john is either not kind or not creative. Everyone who is not strong or quiet is not brave and vice versa. Everyone who is not quiet or not humble is kind or creative. Everyone who is both not humble and strong is curious an... | Alice is generous. | neutral | (![X]:((~wise(X)|calm(X))=>(tall(X)|~brave(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~kind(john)<~>~creative(john))))&
(![X]:((~strong(X)|quiet(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)&strong(X))<=>curious(X)))&
(![X]:(brave(X)<=>(creative(X)&~strong(X))))&
(![X]:((happ... | generous(alice) | [] | null | 0 |
If someone is not happy or not tall then susan is either not quiet or kind and vice versa.
Everyone who is both tall and humble is rich.
Everyone who is happy is old or not wise and vice versa.
Everyone who is curious is both not kind and not strong and vice versa.
Everyone who is not curious is either not calm or not ... | Mary is not tall. | neutral | ((?[X]:((~happy(X)|~tall(X))))<=>((~quiet(susan)<~>kind(susan))))&
(![X]:((tall(X)&humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(old(X)|~wise(X))))&
(![X]:(curious(X)<=>(~kind(X)&~strong(X))))&
(![X]:(~curious(X)=>(~calm(X)<~>~old(X))))&
(![X]:((~funny(X)&kind(X))=>(tall(X)|~patient(X))))&
(![X]:((~generous(X)&tall(X))=>(~... | ~tall(mary) | [] | null | 0 |
Everyone who is not tall is creative or not funny and vice versa. If someone is not calm or not funny then mary is both funny and curious. Everyone who is not funny or not wise is calm and vice versa. Everyone who is not tall or not wise is both not wise and creative. Everyone who is strong is either calm or wise and v... | Mary is not rich. | neutral | (![X]:(~tall(X)<=>(creative(X)|~funny(X))))&
((?[X]:((~calm(X)|~funny(X))))=>((funny(mary)&curious(mary))))&
(![X]:((~funny(X)|~wise(X))<=>calm(X)))&
(![X]:((~tall(X)|~wise(X))=>(~wise(X)&creative(X))))&
(![X]:(strong(X)<=>(calm(X)<~>wise(X))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:((curious(X)&~humble(X))<=>(calm(X)... | ~rich(mary) | [] | null | 0 |
Everyone who is both curious and not old is happy. Everyone who is not tall is not patient. If lucy is not strong then mary is funny and vice versa. Everyone who is kind or not quiet is not brave or happy and vice versa. Everyone who is either not curious or happy is either humble or not happy. If someone is tall or cu... | Susan is kind. | entailment | (![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(X)=>~patient(X)))&
((~strong(lucy))<=>(funny(mary)))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(... | kind(susan) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6304271989167059167237538
% SZS output start Proof for 6304271989167059167237538
1. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p0]
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> hu... | 0 |
If someone is not generous then paul is funny. Everyone who is both not humble and not strong is humble and vice versa. Everyone who is either wise or not generous is either funny or tall. If someone is both not wise and not rich then paul is both tall and rich. If paul is not quiet or kind then someone is happy or cur... | Paul is not strong. | contradiction | ((?[X]:(~generous(X)))=>(funny(paul)))&
(![X]:((~humble(X)&~strong(X))<=>humble(X)))&
(![X]:((wise(X)<~>~generous(X))=>(funny(X)<~>tall(X))))&
((?[X]:((~wise(X)&~rich(X))))=>((tall(paul)&rich(paul))))&
(((~quiet(paul)|kind(paul)))<=>(?[X]:((happy(X)|curious(X)))))&
(![X]:((~patient(X)|~wise(X))=>(~curious(X)|curious(X)... | ~strong(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1498839214249178884817778
% SZS output start Proof for 1498839214249178884817778
2. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> humble(X0)) [input p1]
24. ~strong(paul) [input hypothesis]
36. ! [X0] : (((~strong(X0) & ~humble(X0)) | ~humble(X0)) & (humble(X0) | (strong(X0) | humble(X0)))) [... | 0 |
If lucy is not funny or not calm then someone is either old or not strong.
Everyone who is not generous is humble.
If someone is either brave or not creative then susan is both not wise and not happy.
Everyone who is not patient is not creative or kind and vice versa.
Everyone who is not funny or not creative is curiou... | Susan is kind. | contradiction | (((~funny(lucy)|~calm(lucy)))=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:(~generous(X)=>humble(X)))&
((?[X]:((brave(X)<~>~creative(X))))=>((~wise(susan)&~happy(susan))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&... | kind(susan) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p10",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5072565438644203671438600
% SZS output start Proof for 5072565438644203671438600
3. ? [X0] : (brave(X0) <~> ~creative(X0)) => (~happy(susan) & ~wise(susan)) [input p2]
5. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patie... | 0 |
Everyone who is either strong or not calm is both calm and funny and vice versa. Everyone who is either not wise or not patient is patient or curious and vice versa. If someone is not happy or tall then paul is not brave or happy. If someone is creative then alice is curious or not rich. If someone is either not humble... | Mary is not happy. | entailment | (![X]:((strong(X)<~>~calm(X))<=>(calm(X)&funny(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(patient(X)|curious(X))))&
((?[X]:((~happy(X)|tall(X))))=>((~brave(paul)|happy(paul))))&
((?[X]:(creative(X)))=>((curious(alice)|~rich(alice))))&
((?[X]:((~humble(X)<~>~quiet(X))))=>((funny(fred)|~old(fred))))&
((?[X]:((patient(X)|r... | ~happy(mary) | [
"p0",
"p5",
"p8",
"p9",
"p11",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2241415115174440596602688
% SZS output start Proof for 2241415115174440596602688
1. ! [X0] : ((strong(X0) <~> ~calm(X0)) <=> (funny(X0) & calm(X0))) [input p0]
6. ? [X0] : (rich(X0) | patient(X0)) => (tall(mary) <~> kind(mary)) [input p5]
9. ! [X0] : ((generous(X0) & calm(X0)) <=> (~kind(... | 0 |
If someone is creative then someone is either brave or generous. If someone is either rich or not happy then paul is either not kind or patient. If someone is both not old and humble then lucy is patient and vice versa. Everyone who is both not patient and funny is either not humble or wise. If paul is both not rich an... | Paul is humble. | neutral | ((?[X]:(creative(X)))=>(?[X]:((brave(X)<~>generous(X)))))&
((?[X]:((rich(X)<~>~happy(X))))=>((~kind(paul)<~>patient(paul))))&
((?[X]:((~old(X)&humble(X))))<=>(patient(lucy)))&
(![X]:((~patient(X)&funny(X))=>(~humble(X)<~>wise(X))))&
(((~rich(paul)&~brave(paul)))<=>(?[X]:((~calm(X)&calm(X)))))&
((?[X]:((~creative(X)&~ri... | humble(paul) | [] | null | 0 |
If someone is not strong then someone is brave and vice versa. If fred is not brave then someone is wise and vice versa. If someone is kind then lucy is calm. Everyone who is both not calm and not funny is not old or happy. Everyone who is either not quiet or not wise is both tall and strong and vice versa. Everyone wh... | Lucy is old. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(brave(X))))&
((~brave(fred))<=>(?[X]:(wise(X))))&
((?[X]:(kind(X)))=>(calm(lucy)))&
(![X]:((~calm(X)&~funny(X))=>(~old(X)|happy(X))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(tall(X)&strong(X))))&
(![X]:((~tall(X)&tall(X))=>(~wise(X)<~>humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>((creative(john)... | old(lucy) | [] | null | 0 |
Everyone who is either happy or strong is not rich or wise and vice versa. If mary is both not funny and curious then someone is not funny or strong and vice versa. Everyone who is either calm or wise is tall and vice versa. Everyone who is both not curious and wise is not funny. Everyone who is not wise or not kind is... | John is strong. | neutral | (![X]:((happy(X)<~>strong(X))<=>(~rich(X)|wise(X))))&
(((~funny(mary)&curious(mary)))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:((calm(X)<~>wise(X))<=>tall(X)))&
(![X]:((~curious(X)&wise(X))=>~funny(X)))&
(![X]:((~wise(X)|~kind(X))<=>(quiet(X)|~wise(X))))&
(![X]:((humble(X)<~>~curious(X))=>creative(X)))&
(![X]:((rich(X)... | strong(john) | [] | null | 0 |
Everyone who is either not patient or not generous is rich or not wise. Everyone who is either not quiet or not kind is not generous and vice versa. Everyone who is not patient or not tall is generous. If someone is either not humble or curious then someone is both not brave and not humble. If fred is creative or not c... | Fred is not curious. | neutral | (![X]:((~patient(X)<~>~generous(X))=>(rich(X)|~wise(X))))&
(![X]:((~quiet(X)<~>~kind(X))<=>~generous(X)))&
(![X]:((~patient(X)|~tall(X))=>generous(X)))&
((?[X]:((~humble(X)<~>curious(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(((creative(fred)|~creative(fred)))<=>((~calm(fred)&brave(fred))))&
(![X]:((tall(X)&~generous(X)... | ~curious(fred) | [] | null | 0 |
If paul is both funny and not generous then susan is either wise or creative. Everyone who is kind is both not calm and tall and vice versa. Everyone who is not brave or creative is not happy. Everyone who is both brave and rich is quiet or not old and vice versa. Everyone who is both not quiet and funny is quiet or hu... | Alice is calm. | neutral | (((funny(paul)&~generous(paul)))=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(X))<=>(quiet(X)|~old(X))))&
(![X]:((~quiet(X)&funny(X))=>(quiet(X)|humble(X))))&
(![X]:((~quiet(X)|calm(X))<=>(creative(X)|~patient(X))))&
((~ge... | calm(alice) | [] | null | 0 |
Everyone who is not creative or quiet is both not creative and quiet and vice versa. Everyone who is brave or not wise is both not rich and creative and vice versa. Everyone who is curious is either curious or humble and vice versa. If alice is either not creative or curious then mary is quiet. If someone is either not... | Fred is funny. | neutral | (![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curious(X)<=>(curious(X)<~>humble(X))))&
(((~creative(alice)<~>curious(alice)))=>(quiet(mary)))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((generous(lucy)&~quiet(lucy))))&
(![X]:((calm(X)&strong(X))=>(qu... | funny(fred) | [] | null | 0 |
If someone is either strong or happy then fred is not calm and vice versa.
If someone is rich then someone is both not funny and strong and vice versa.
Everyone who is not curious is either not kind or happy and vice versa.
Everyone who is not quiet or not humble is wise.
If someone is either not happy or calm then som... | John is quiet. | contradiction | ((?[X]:((strong(X)<~>happy(X))))<=>(~calm(fred)))&
((?[X]:(rich(X)))<=>(?[X]:((~funny(X)&strong(X)))))&
(![X]:(~curious(X)<=>(~kind(X)<~>happy(X))))&
(![X]:((~quiet(X)|~humble(X))=>wise(X)))&
((?[X]:((~happy(X)<~>calm(X))))=>(?[X]:((kind(X)|creative(X)))))&
((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((calm(X)&brave(X))))... | quiet(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4442738788318995870115096
% SZS output start Proof for 4442738788318995870115096
16. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p15]
24. quiet(john) [input hypothesis]
80. ! [X0] : ((patient(X0) | (~quiet(X0) | patient(X0))) & ((quiet(X0) & ~patient(X0)) | ~patient(X0)))... | 0 |
Everyone who is both not calm and not rich is patient or not kind.
If someone is not rich or not generous then fred is not brave or patient and vice versa.
If someone is not brave or not rich then fred is either not rich or not curious.
Everyone who is calm is humble or strong and vice versa.
Everyone who is calm or ha... | Fred is patient. | neutral | (![X]:((~calm(X)&~rich(X))=>(patient(X)|~kind(X))))&
((?[X]:((~rich(X)|~generous(X))))<=>((~brave(fred)|patient(fred))))&
((?[X]:((~brave(X)|~rich(X))))=>((~rich(fred)<~>~curious(fred))))&
(![X]:(calm(X)<=>(humble(X)|strong(X))))&
(![X]:((calm(X)|happy(X))<=>(~quiet(X)|wise(X))))&
(((~old(lucy)<~>~calm(lucy)))<=>((~bra... | patient(fred) | [] | null | 0 |
If paul is both curious and rich then john is not happy or not humble and vice versa.
Everyone who is calm or not creative is both patient and not kind.
Everyone who is both not funny and not brave is creative or not tall and vice versa.
If fred is both not happy and not tall then someone is either kind or happy and vi... | Fred is not happy. | entailment | (((curious(paul)&rich(paul)))<=>((~happy(john)|~humble(john))))&
(![X]:((calm(X)|~creative(X))=>(patient(X)&~kind(X))))&
(![X]:((~funny(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(((~happy(fred)&~tall(fred)))<=>(?[X]:((kind(X)<~>happy(X)))))&
(((tall(john)&rich(john)))<=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((~calm(X)... | ~happy(fred) | [
"p1",
"p2",
"p3",
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6119905981776661238353137
% SZS output start Proof for 6119905981776661238353137
2. ! [X0] : ((~creative(X0) | calm(X0)) => (~kind(X0) & patient(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> (~tall(X0) | creative(X0))) [input p2]
4. (~tall(fred) & ~happy(fred)) <=> ? [X0] : ... | 0 |
Everyone who is both happy and not funny is not patient or not humble. If john is either wise or not kind then john is not patient. Everyone who is curious is not humble and vice versa. Everyone who is not humble is either rich or not humble. If john is wise or not brave then lucy is not humble. Everyone who is both ha... | Mary is not funny. | contradiction | (![X]:((happy(X)&~funny(X))=>(~patient(X)|~humble(X))))&
(((wise(john)<~>~kind(john)))=>(~patient(john)))&
(![X]:(curious(X)<=>~humble(X)))&
(![X]:(~humble(X)=>(rich(X)<~>~humble(X))))&
(((wise(john)|~brave(john)))=>(~humble(lucy)))&
(![X]:((happy(X)&wise(X))<=>(~calm(X)<~>old(X))))&
((?[X]:(~happy(X)))<=>((tall(mary)<... | ~funny(mary) | [
"p2",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3065525193048875834444967
% SZS output start Proof for 3065525193048875834444967
3. ! [X0] : (curious(X0) <=> ~humble(X0)) [input p2]
9. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~wise(X0) <~> ~patient(X0))) [input p8]
12. ! [X0] : ((calm(X0) & funny(X0)) <=> (humble(X0) | ~wise(X0))) [i... | 0 |
If paul is either not generous or not wise then mary is both funny and not old and vice versa.
If lucy is both calm and curious then someone is either not old or not curious and vice versa.
Everyone who is both tall and not generous is rich or curious.
Everyone who is either not generous or not strong is not generous a... | Lucy is not kind. | contradiction | (((~generous(paul)<~>~wise(paul)))<=>((funny(mary)&~old(mary))))&
(((calm(lucy)&curious(lucy)))<=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((tall(X)&~generous(X))=>(rich(X)|curious(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>~generous(X)))&
(![X]:(rich(X)<=>(~curious(X)|humble(X))))&
(((~kind(susan)|~humble(susan)))<=>... | ~kind(lucy) | [
"p3",
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7148050679924546494522008
% SZS output start Proof for 7148050679924546494522008
4. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> ~generous(X0)) [input p3]
5. ! [X0] : (rich(X0) <=> (humble(X0) | ~curious(X0))) [input p4]
6. (~humble(susan) | ~kind(susan)) <=> ~strong(alice) [input p5]
13... | 0 |
Everyone who is both not rich and not kind is either not tall or patient.
Everyone who is both not curious and not calm is not generous and vice versa.
Everyone who is not rich is either not wise or not calm and vice versa.
If someone is both not curious and not generous then someone is both calm and not patient.
If pa... | Lucy is brave. | contradiction | (![X]:((~rich(X)&~kind(X))=>(~tall(X)<~>patient(X))))&
(![X]:((~curious(X)&~calm(X))<=>~generous(X)))&
(![X]:(~rich(X)<=>(~wise(X)<~>~calm(X))))&
((?[X]:((~curious(X)&~generous(X))))=>(?[X]:((calm(X)&~patient(X)))))&
(((~humble(paul)&brave(paul)))<=>(?[X]:(funny(X))))&
(![X]:((calm(X)<~>happy(X))<=>(~generous(X)&~tall(... | brave(lucy) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8683510989880972366539499
% SZS output start Proof for 8683510989880972366539499
8. ! [X0] : ((old(X0) <~> ~funny(X0)) => (quiet(X0) & ~brave(X0))) [input p7]
19. old(lucy) <~> ~funny(lucy) [input p18]
25. brave(lucy) [input hypothesis]
30. ! [X0] : ((quiet(X0) & ~brave(X0)) | (old(X0) <=... | 0 |
If lucy is either curious or not rich then someone is rich or not creative.
If someone is not strong then someone is both not creative and not kind and vice versa.
If mary is both wise and not tall then alice is either not generous or not humble.
Everyone who is both old and kind is both not creative and not rich.
Ever... | Fred is funny. | contradiction | (((curious(lucy)<~>~rich(lucy)))=>(?[X]:((rich(X)|~creative(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((~creative(X)&~kind(X)))))&
(((wise(mary)&~tall(mary)))=>((~generous(alice)<~>~humble(alice))))&
(![X]:((old(X)&kind(X))=>(~creative(X)&~rich(X))))&
(![X]:((tall(X)<~>wise(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((quiet(X)&~ca... | funny(fred) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 211977524936192470539621
% SZS output start Proof for 211977524936192470539621
2. ? [X0] : ~strong(X0) <=> ? [X0] : (~kind(X0) & ~creative(X0)) [input p1]
6. ! [X0] : ((~calm(X0) & quiet(X0)) <=> (~wise(X0) | strong(X0))) [input p5]
8. ! [X0] : (~strong(X0) <=> (~kind(X0) <~> curious(X0))... | 0 |
If someone is either not calm or creative then someone is both old and brave. Everyone who is not wise is both humble and quiet and vice versa. If someone is generous or not patient then someone is creative or not funny and vice versa. If susan is brave then mary is generous. Everyone who is both not rich and rich is b... | John is not kind. | entailment | ((?[X]:((~calm(X)<~>creative(X))))=>(?[X]:((old(X)&brave(X)))))&
(![X]:(~wise(X)<=>(humble(X)&quiet(X))))&
((?[X]:((generous(X)|~patient(X))))<=>(?[X]:((creative(X)|~funny(X)))))&
((brave(susan))=>(generous(mary)))&
(![X]:((~rich(X)&rich(X))<=>(quiet(X)&happy(X))))&
(![X]:((~kind(X)&~wise(X))<=>brave(X)))&
((?[X]:((~hu... | ~kind(john) | [
"p0",
"p5",
"p8",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1658499550944598544984878
% SZS output start Proof for 1658499550944598544984878
1. ? [X0] : (~calm(X0) <~> creative(X0)) => ? [X0] : (brave(X0) & old(X0)) [input p0]
6. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> brave(X0)) [input p5]
9. ! [X0] : ((old(X0) & brave(X0)) <=> (wise(X0) <~> kind(X... | 0 |
If lucy is not strong then susan is either kind or patient and vice versa.
Everyone who is both wise and not generous is either not funny or not wise and vice versa.
Everyone who is not humble is happy.
Everyone who is not humble is not curious.
Everyone who is both not creative and not strong is strong or not funny.
E... | Mary is not generous. | contradiction | ((~strong(lucy))<=>((kind(susan)<~>patient(susan))))&
(![X]:((wise(X)&~generous(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:(~humble(X)=>happy(X)))&
(![X]:(~humble(X)=>~curious(X)))&
(![X]:((~creative(X)&~strong(X))=>(strong(X)|~funny(X))))&
(![X]:((generous(X)|creative(X))<=>(~strong(X)|~funny(X))))&
(![X]:((kind(X)|~funny(... | ~generous(mary) | [
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4019759100851062167540120
% SZS output start Proof for 4019759100851062167540120
2. ! [X0] : ((~generous(X0) & wise(X0)) <=> (~funny(X0) <~> ~wise(X0))) [input p1]
6. ! [X0] : ((creative(X0) | generous(X0)) <=> (~funny(X0) | ~strong(X0))) [input p5]
7. ! [X0] : ((~funny(X0) | kind(X0)) <=... | 0 |
Everyone who is creative is both not quiet and not calm and vice versa.
If paul is not creative then someone is either strong or calm.
Everyone who is either humble or not funny is tall or not generous and vice versa.
Everyone who is not kind is rich.
If paul is patient or not generous then someone is either not rich o... | Lucy is quiet. | entailment | (![X]:(creative(X)<=>(~quiet(X)&~calm(X))))&
((~creative(paul))=>(?[X]:((strong(X)<~>calm(X)))))&
(![X]:((humble(X)<~>~funny(X))<=>(tall(X)|~generous(X))))&
(![X]:(~kind(X)=>rich(X)))&
(((patient(paul)|~generous(paul)))<=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:(happy(X)=>(quiet(X)&wise(X))))&
((?[X]:((~happy(X)&tall(X))... | quiet(lucy) | [
"p3",
"p5",
"p7",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3152744214753605285933464
% SZS output start Proof for 3152744214753605285933464
4. ! [X0] : (~kind(X0) => rich(X0)) [input p3]
6. ! [X0] : (happy(X0) => (wise(X0) & quiet(X0))) [input p5]
8. ! [X0] : ((funny(X0) | tall(X0)) <=> (~kind(X0) | happy(X0))) [input p7]
10. ! [X0] : (funny(X0) ... | 0 |
Everyone who is not curious is both not tall and generous.
If someone is not rich or not brave then alice is not curious or tall.
Everyone who is both funny and brave is not tall and vice versa.
Everyone who is both kind and funny is both curious and generous.
Everyone who is not patient is both not kind and not wise a... | Mary is rich. | entailment | (![X]:(~curious(X)=>(~tall(X)&generous(X))))&
((?[X]:((~rich(X)|~brave(X))))=>((~curious(alice)|tall(alice))))&
(![X]:((funny(X)&brave(X))<=>~tall(X)))&
(![X]:((kind(X)&funny(X))=>(curious(X)&generous(X))))&
(![X]:(~patient(X)<=>(~kind(X)&~wise(X))))&
((curious(susan))=>((~happy(alice)|~funny(alice))))&
((wise(john))=>... | rich(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 906578440931801914338829
% SZS output start Proof for 906578440931801914338829
18. rich(mary) & creative(mary) [input p17]
25. ~rich(mary) [input hypothesis]
119. rich(mary) [cnf transformation 18]
129. ~rich(mary) [cnf transformation 25]
312. $false [subsumption resolution 129,119]
% SZS... | 0 |
Everyone who is either humble or happy is either not wise or wise.
If someone is either creative or not funny then john is kind and vice versa.
Everyone who is strong or quiet is not strong.
If someone is funny then lucy is both happy and not humble and vice versa.
If someone is either not generous or not quiet then fr... | Lucy is not old. | neutral | (![X]:((humble(X)<~>happy(X))=>(~wise(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~funny(X))))<=>(kind(john)))&
(![X]:((strong(X)|quiet(X))=>~strong(X)))&
((?[X]:(funny(X)))<=>((happy(lucy)&~humble(lucy))))&
((?[X]:((~generous(X)<~>~quiet(X))))<=>((~curious(fred)&~quiet(fred))))&
(((~old(john)<~>~rich(john)))<=>(?[X]:((qui... | ~old(lucy) | [] | null | 0 |
If someone is not humble then someone is either humble or not curious.
Everyone who is not curious is calm or patient and vice versa.
Everyone who is both old and not brave is either creative or not old and vice versa.
Everyone who is both creative and not generous is old and vice versa.
Everyone who is either old or n... | Fred is not curious. | entailment | ((?[X]:(~humble(X)))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>(calm(X)|patient(X))))&
(![X]:((old(X)&~brave(X))<=>(creative(X)<~>~old(X))))&
(![X]:((creative(X)&~generous(X))<=>old(X)))&
(![X]:((old(X)<~>~happy(X))<=>~creative(X)))&
((?[X]:(kind(X)))=>((~happy(fred)&calm(fred))))&
(![X]:(~calm(X)=>(~r... | ~curious(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1917964229633658750260100
% SZS output start Proof for 1917964229633658750260100
2. ! [X0] : (~curious(X0) <=> (patient(X0) | calm(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & old(X0)) <=> (creative(X0) <~> ~old(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & creative(X0)) <=> old(X0)) [inp... | 0 |
Everyone who is either not creative or not funny is not humble or rich.
Everyone who is not calm is either quiet or not brave and vice versa.
Everyone who is not tall is both not creative and not humble.
If someone is not kind then someone is both not rich and old and vice versa.
If someone is both not brave and kind t... | Paul is funny. | contradiction | (![X]:((~creative(X)<~>~funny(X))=>(~humble(X)|rich(X))))&
(![X]:(~calm(X)<=>(quiet(X)<~>~brave(X))))&
(![X]:(~tall(X)=>(~creative(X)&~humble(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~rich(X)&old(X)))))&
((?[X]:((~brave(X)&kind(X))))=>(?[X]:((~rich(X)<~>~brave(X)))))&
(((quiet(alice)<~>rich(alice)))<=>(?[X]:(generous(X))))&... | funny(paul) | [
"p2",
"p8",
"p9",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 585409235875727174544692
% SZS output start Proof for 585409235875727174544692
3. ! [X0] : (~tall(X0) => (~humble(X0) & ~creative(X0))) [input p2]
9. ? [X0] : ~tall(X0) <=> (patient(paul) & brave(paul)) [input p8]
10. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> (patient(X0) & strong(X0))) [i... | 0 |
If someone is either brave or funny then someone is happy or strong and vice versa.
Everyone who is either old or rich is either strong or brave and vice versa.
If someone is either not old or quiet then someone is either not kind or not patient and vice versa.
Everyone who is generous or rich is not humble or generous... | Paul is quiet. | contradiction | ((?[X]:((brave(X)<~>funny(X))))<=>(?[X]:((happy(X)|strong(X)))))&
(![X]:((old(X)<~>rich(X))<=>(strong(X)<~>brave(X))))&
((?[X]:((~old(X)<~>quiet(X))))<=>(?[X]:((~kind(X)<~>~patient(X)))))&
(![X]:((generous(X)|rich(X))=>(~humble(X)|generous(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(happy(X)<~>quiet(X))))&
(![X]:((curious... | quiet(paul) | [
"p0",
"p1",
"p4",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5588413491499742955156948
% SZS output start Proof for 5588413491499742955156948
1. ? [X0] : (brave(X0) <~> funny(X0)) <=> ? [X0] : (strong(X0) | happy(X0)) [input p0]
2. ! [X0] : ((old(X0) <~> rich(X0)) <=> (strong(X0) <~> brave(X0))) [input p1]
5. ! [X0] : ((~funny(X0) <~> ~brave(X0)) <... | 0 |
If someone is both creative and happy then someone is either brave or creative. Everyone who is either funny or old is tall. Everyone who is funny is either not quiet or happy and vice versa. If someone is not rich then someone is either kind or old and vice versa. If someone is not brave then someone is not quiet. If ... | Susan is humble. | entailment | ((?[X]:((creative(X)&happy(X))))=>(?[X]:((brave(X)<~>creative(X)))))&
(![X]:((funny(X)<~>old(X))=>tall(X)))&
(![X]:(funny(X)<=>(~quiet(X)<~>happy(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((kind(X)<~>old(X)))))&
((?[X]:(~brave(X)))=>(?[X]:(~quiet(X))))&
((?[X]:((curious(X)&wise(X))))<=>(?[X]:((~generous(X)|funny(X)))))&
(![X]:... | humble(susan) | [
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5596056337288616404404019
% SZS output start Proof for 5596056337288616404404019
11. ? [X0] : ~funny(X0) => ~old(susan) [input p10]
13. (~humble(susan) <~> ~old(susan)) <=> ? [X0] : ~calm(X0) [input p12]
19. ? [X0] : (old(X0) & ~calm(X0)) [input p18]
21. ~strong(john) & ~funny(john) [inpu... | 0 |
If alice is not kind or not curious then someone is tall.
If someone is either rich or wise then someone is patient and vice versa.
If mary is both not humble and curious then someone is both not strong and not rich and vice versa.
Everyone who is not curious or patient is generous or not creative and vice versa.
Every... | Mary is brave. | entailment | (((~kind(alice)|~curious(alice)))=>(?[X]:(tall(X))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:(patient(X))))&
(((~humble(mary)&curious(mary)))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~curious(X)|patient(X))<=>(generous(X)|~creative(X))))&
(![X]:(~kind(X)=>(~funny(X)&~old(X))))&
(![X]:((~humble(X)|wise(X))<=>(~brave(X)... | brave(mary) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 301972327544759334153861
% SZS output start Proof for 301972327544759334153861
13. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~rich(X0) & patient(X0))) [input p12]
14. ! [X0] : (brave(X0) <=> (patient(X0) | creative(X0))) [input p13]
23. ~brave(mary) [input hypothesis]
59. ! [X0] : (((~fu... | 0 |
Everyone who is wise is either creative or not funny.
Everyone who is wise is either not calm or not strong and vice versa.
If someone is both funny and not rich then someone is not wise.
Everyone who is not quiet is either calm or funny and vice versa.
If mary is either happy or quiet then someone is not quiet or calm... | Lucy is not generous. | neutral | (![X]:(wise(X)=>(creative(X)<~>~funny(X))))&
(![X]:(wise(X)<=>(~calm(X)<~>~strong(X))))&
((?[X]:((funny(X)&~rich(X))))=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)<=>(calm(X)<~>funny(X))))&
(((happy(mary)<~>quiet(mary)))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((happy(X)&~old(X))=>(~funny(X)&humble(X))))&
(![X]:(~calm(X)<=>(cu... | ~generous(lucy) | [] | null | 0 |
If lucy is either wise or creative then fred is either tall or rich.
If someone is funny then john is generous and vice versa.
If mary is kind or not curious then john is both not humble and creative and vice versa.
Everyone who is both old and not funny is not funny.
Everyone who is not funny is creative or calm and v... | Alice is happy. | entailment | (((wise(lucy)<~>creative(lucy)))=>((tall(fred)<~>rich(fred))))&
((?[X]:(funny(X)))<=>(generous(john)))&
(((kind(mary)|~curious(mary)))<=>((~humble(john)&creative(john))))&
(![X]:((old(X)&~funny(X))=>~funny(X)))&
(![X]:(~funny(X)<=>(creative(X)|calm(X))))&
(((curious(fred)&~old(fred)))<=>((~quiet(susan)<~>generous(susan... | happy(alice) | [
"p6",
"p7",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7716839788987420339907180
% SZS output start Proof for 7716839788987420339907180
7. ! [X0] : ((~generous(X0) | ~quiet(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : ((generous(X0) <~> ~patient(X0)) <=> (~rich(X0) | ~happy(X0))) [input p7]
20. wise(alice) & generous(alice) [input p19]
21. ~q... | 0 |
Everyone who is happy or not happy is rich or strong and vice versa. If lucy is both quiet and generous then someone is both not kind and not quiet and vice versa. If mary is generous then someone is patient and vice versa. Everyone who is not generous or not calm is both not old and not calm. Everyone who is rich is n... | John is not calm. | contradiction | (![X]:((happy(X)|~happy(X))<=>(rich(X)|strong(X))))&
(((quiet(lucy)&generous(lucy)))<=>(?[X]:((~kind(X)&~quiet(X)))))&
((generous(mary))<=>(?[X]:(patient(X))))&
(![X]:((~generous(X)|~calm(X))=>(~old(X)&~calm(X))))&
(![X]:(rich(X)<=>(~old(X)|wise(X))))&
(![X]:(patient(X)<=>(~quiet(X)<~>strong(X))))&
(![X]:((~strong(X)<~... | ~calm(john) | [
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2817805092005011892667900
% SZS output start Proof for 2817805092005011892667900
8. ! [X0] : (~curious(X0) <=> (tall(X0) & quiet(X0))) [input p7]
9. ? [X0] : (~tall(X0) <~> curious(X0)) => ? [X0] : (funny(X0) | ~happy(X0)) [input p8]
10. ? [X0] : (wise(X0) | ~generous(X0)) => ~brave(lucy)... | 0 |
Everyone who is strong is not strong or quiet.
Everyone who is either not happy or creative is old or generous.
Everyone who is quiet or rich is either patient or not kind.
Everyone who is either generous or not rich is not calm or not brave.
If someone is either creative or calm then someone is either wise or calm and... | Mary is rich. | contradiction | (![X]:(strong(X)=>(~strong(X)|quiet(X))))&
(![X]:((~happy(X)<~>creative(X))=>(old(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(patient(X)<~>~kind(X))))&
(![X]:((generous(X)<~>~rich(X))=>(~calm(X)|~brave(X))))&
((?[X]:((creative(X)<~>calm(X))))<=>(?[X]:((wise(X)<~>calm(X)))))&
(![X]:((tall(X)&funny(X))<=>(~happy(X)<~>... | rich(mary) | [
"p2",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3366666965937647996195172
% SZS output start Proof for 3366666965937647996195172
3. ! [X0] : ((rich(X0) | quiet(X0)) => (patient(X0) <~> ~kind(X0))) [input p2]
12. ! [X0] : (kind(X0) => (~creative(X0) & ~patient(X0))) [input p11]
13. ! [X0] : (calm(X0) => (~rich(X0) & ~humble(X0))) [input... | 0 |
If someone is not humble or quiet then someone is either not creative or tall.
Everyone who is old or curious is wise or creative.
If mary is not tall then someone is not kind and vice versa.
If someone is either curious or not strong then someone is not generous or calm and vice versa.
If lucy is either not kind or hu... | Alice is strong. | contradiction | ((?[X]:((~humble(X)|quiet(X))))=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:((old(X)|curious(X))=>(wise(X)|creative(X))))&
((~tall(mary))<=>(?[X]:(~kind(X))))&
((?[X]:((curious(X)<~>~strong(X))))<=>(?[X]:((~generous(X)|calm(X)))))&
(((~kind(lucy)<~>humble(lucy)))=>(?[X]:((curious(X)|quiet(X)))))&
(((~rich(john)&~creativ... | strong(alice) | [
"p7",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4230491557083860666388726
% SZS output start Proof for 4230491557083860666388726
8. (funny(alice) & creative(alice)) <=> ? [X0] : (funny(X0) <~> tall(X0)) [input p7]
15. ! [X0] : ((~tall(X0) & strong(X0)) => (~funny(X0) & funny(X0))) [input p14]
19. ~funny(alice) [input p18]
25. strong(al... | 0 |
Everyone who is both not generous and not creative is kind or curious.
If someone is either not funny or wise then someone is either not curious or humble.
If john is either not curious or brave then paul is both wise and not kind.
If someone is quiet then someone is wise or old and vice versa.
Everyone who is kind is ... | John is brave. | neutral | (![X]:((~generous(X)&~creative(X))=>(kind(X)|curious(X))))&
((?[X]:((~funny(X)<~>wise(X))))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~curious(john)<~>brave(john)))=>((wise(paul)&~kind(paul))))&
((?[X]:(quiet(X)))<=>(?[X]:((wise(X)|old(X)))))&
(![X]:(kind(X)=>~wise(X)))&
(((creative(john)<~>happy(john)))<=>(?[X]:(quiet(... | brave(john) | [] | null | 0 |
If fred is both happy and tall then paul is either wise or not wise.
If alice is not rich then susan is both not quiet and funny.
Everyone who is happy is happy or quiet.
If john is tall or not humble then someone is kind and vice versa.
Everyone who is not tall or generous is not quiet.
Everyone who is either not gene... | John is not humble. | contradiction | (((happy(fred)&tall(fred)))=>((wise(paul)<~>~wise(paul))))&
((~rich(alice))=>((~quiet(susan)&funny(susan))))&
(![X]:(happy(X)=>(happy(X)|quiet(X))))&
(((tall(john)|~humble(john)))<=>(?[X]:(kind(X))))&
(![X]:((~tall(X)|generous(X))=>~quiet(X)))&
(![X]:((~generous(X)<~>old(X))<=>(happy(X)&~patient(X))))&
((?[X]:((~quiet(... | ~humble(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8896759300021777586369128
% SZS output start Proof for 8896759300021777586369128
20. curious(john) & humble(john) [input p19]
25. ~humble(john) [input hypothesis]
144. humble(john) [cnf transformation 20]
151. ~humble(john) [cnf transformation 25]
162. 3 <=> humble(john) [avatar definitio... | 0 |
If someone is not happy then paul is not old. Everyone who is both not tall and quiet is wise or humble and vice versa. Everyone who is not humble or not quiet is both tall and funny. Everyone who is either not strong or tall is both brave and not brave and vice versa. If mary is both not patient and not quiet then pau... | Alice is funny. | entailment | ((?[X]:(~happy(X)))=>(~old(paul)))&
(![X]:((~tall(X)&quiet(X))<=>(wise(X)|humble(X))))&
(![X]:((~humble(X)|~quiet(X))=>(tall(X)&funny(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(brave(X)&~brave(X))))&
(((~patient(mary)&~quiet(mary)))<=>((~creative(paul)|~quiet(paul))))&
((?[X]:((~patient(X)<~>~happy(X))))<=>(?[X]:(~curious... | funny(alice) | [
"p1",
"p2",
"p3",
"p6",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8267345434667988910937450
% SZS output start Proof for 8267345434667988910937450
2. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> (humble(X0) | wise(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | ~humble(X0)) => (funny(X0) & tall(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> tall(X0)) <=> (~brave(X... | 0 |
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either not kind or not wise is either wise or not quiet and vice versa.
Everyone who is bot... | Fred is happy. | contradiction | (![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>~creative(X)))&
(![X]:((... | happy(fred) | [
"p3",
"p6",
"p9",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4472980009724243857338929
% SZS output start Proof for 4472980009724243857338929
4. ! [X0] : ((~kind(X0) <~> ~wise(X0)) <=> (wise(X0) <~> ~quiet(X0))) [input p3]
7. ! [X0] : ((~calm(X0) <~> ~happy(X0)) => ~patient(X0)) [input p6]
10. ! [X0] : ((calm(X0) | rich(X0)) => (~tall(X0) & ~funny(... | 0 |
If someone is either old or wise then lucy is old.
If fred is both not creative and not happy then susan is either not patient or curious and vice versa.
Everyone who is both not quiet and curious is either wise or kind and vice versa.
If someone is calm then alice is both creative and tall and vice versa.
Everyone who... | Lucy is not brave. | neutral | ((?[X]:((old(X)<~>wise(X))))=>(old(lucy)))&
(((~creative(fred)&~happy(fred)))<=>((~patient(susan)<~>curious(susan))))&
(![X]:((~quiet(X)&curious(X))<=>(wise(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~c... | ~brave(lucy) | [] | null | 0 |
If someone is both not funny and kind then someone is old.
Everyone who is not tall or generous is brave and vice versa.
Everyone who is both not kind and brave is kind and vice versa.
If someone is curious then someone is not strong or strong and vice versa.
If paul is both kind and not tall then someone is either bra... | Lucy is not brave. | entailment | ((?[X]:((~funny(X)&kind(X))))=>(?[X]:(old(X))))&
(![X]:((~tall(X)|generous(X))<=>brave(X)))&
(![X]:((~kind(X)&brave(X))<=>kind(X)))&
((?[X]:(curious(X)))<=>(?[X]:((~strong(X)|strong(X)))))&
(((kind(paul)&~tall(paul)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((old(X)|~strong(X))=>~patient(X)))&
(((~brave(alice)&kind... | ~brave(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8940715393764126076132238
% SZS output start Proof for 8940715393764126076132238
3. ! [X0] : ((brave(X0) & ~kind(X0)) <=> kind(X0)) [input p2]
22. brave(lucy) [input hypothesis]
46. ! [X0] : (((brave(X0) & ~kind(X0)) | ~kind(X0)) & (kind(X0) | (~brave(X0) | kind(X0)))) [nnf transformation... | 0 |
If susan is quiet then paul is happy. If alice is either quiet or not creative then someone is not strong. Everyone who is generous or not rich is either not curious or creative. If someone is not humble or curious then paul is either not humble or not generous. Everyone who is either not rich or humble is either gener... | Fred is not quiet. | contradiction | ((quiet(susan))=>(happy(paul)))&
(((quiet(alice)<~>~creative(alice)))=>(?[X]:(~strong(X))))&
(![X]:((generous(X)|~rich(X))=>(~curious(X)<~>creative(X))))&
((?[X]:((~humble(X)|curious(X))))=>((~humble(paul)<~>~generous(paul))))&
(![X]:((~rich(X)<~>humble(X))<=>(generous(X)<~>~tall(X))))&
(![X]:(wise(X)=>(~tall(X)<~>happ... | ~quiet(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 145642444310057259864349
% SZS output start Proof for 145642444310057259864349
18. generous(fred) & quiet(fred) [input p17]
25. ~quiet(fred) [input hypothesis]
136. quiet(fred) [cnf transformation 18]
148. ~quiet(fred) [cnf transformation 25]
342. $false [subsumption resolution 148,136]
%... | 0 |
If someone is not calm then susan is either not kind or happy and vice versa.
If paul is not wise then mary is not tall and vice versa.
If fred is either humble or old then someone is not brave and vice versa.
If someone is both old and not rich then someone is either not brave or strong and vice versa.
Everyone who is... | Mary is not quiet. | neutral | ((?[X]:(~calm(X)))<=>((~kind(susan)<~>happy(susan))))&
((~wise(paul))<=>(~tall(mary)))&
(((humble(fred)<~>old(fred)))<=>(?[X]:(~brave(X))))&
((?[X]:((old(X)&~rich(X))))<=>(?[X]:((~brave(X)<~>strong(X)))))&
(![X]:((patient(X)&~kind(X))=>(calm(X)&~kind(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(creative(X)|happy(X))))&
(((cu... | ~quiet(mary) | [] | null | 0 |
If fred is calm then lucy is either not patient or humble and vice versa.
Everyone who is not humble or not rich is both creative and kind and vice versa.
If someone is not creative then fred is either not tall or not brave.
If someone is either brave or creative then someone is not quiet or not brave.
If someone is no... | Lucy is not strong. | entailment | ((calm(fred))<=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~humble(X)|~rich(X))<=>(creative(X)&kind(X))))&
((?[X]:(~creative(X)))=>((~tall(fred)<~>~brave(fred))))&
((?[X]:((brave(X)<~>creative(X))))=>(?[X]:((~quiet(X)|~brave(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)<~>generous(X)))))&
(![X]:((~funny(X)|~generous... | ~strong(lucy) | [
"p1",
"p5",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4500040602956014882408034
% SZS output start Proof for 4500040602956014882408034
2. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> (kind(X0) & creative(X0))) [input p1]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) => ~brave(X0)) [input p5]
8. ! [X0] : ((tall(X0) <~> ~rich(X0)) <=> (quiet(X0) <~> ~b... | 0 |
If someone is not funny or not humble then someone is not happy and vice versa. Everyone who is not kind or old is both not tall and curious. If alice is either generous or not patient then someone is either tall or not wise. Everyone who is not curious is not generous or creative and vice versa. Everyone who is both p... | John is not generous. | entailment | ((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|old(X))=>(~tall(X)&curious(X))))&
(((generous(alice)<~>~patient(alice)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:(~curious(X)<=>(~generous(X)|creative(X))))&
(![X]:((patient(X)&~old(X))=>~kind(X)))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)&~tall(X))... | ~generous(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5753560299244368001921598
% SZS output start Proof for 5753560299244368001921598
12. ! [X0] : ((~tall(X0) | generous(X0)) <=> ~generous(X0)) [input p11]
23. generous(john) [input hypothesis]
59. ! [X0] : (((~tall(X0) | generous(X0)) | generous(X0)) & (~generous(X0) | (tall(X0) & ~generous... | 0 |
Everyone who is either humble or not funny is curious or not strong and vice versa.
Everyone who is either old or not kind is not brave or wise and vice versa.
Everyone who is either happy or not humble is either not happy or rich and vice versa.
Everyone who is either not funny or kind is curious.
If fred is either wi... | Paul is rich. | contradiction | (![X]:((humble(X)<~>~funny(X))<=>(curious(X)|~strong(X))))&
(![X]:((old(X)<~>~kind(X))<=>(~brave(X)|wise(X))))&
(![X]:((happy(X)<~>~humble(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~funny(X)<~>kind(X))=>curious(X)))&
(((wise(fred)<~>~funny(fred)))<=>(?[X]:((funny(X)|~wise(X)))))&
(![X]:(curious(X)<=>(~quiet(X)<~>~calm(X))... | rich(paul) | [
"p0",
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9029316422915360341292577
% SZS output start Proof for 9029316422915360341292577
1. ! [X0] : ((humble(X0) <~> ~funny(X0)) <=> (~strong(X0) | curious(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> (~happy(X0) <~> rich(X0))) [input p2]
9. ! [X0] : ((humble(X0) | ~rich(X0)) =>... | 0 |
Everyone who is wise or not wise is funny.
Everyone who is not patient or quiet is humble and vice versa.
Everyone who is wise is not wise.
Everyone who is either not old or not generous is either not strong or tall.
If someone is either calm or not wise then susan is kind or old.
Everyone who is not calm or not rich i... | Susan is not quiet. | contradiction | (![X]:((wise(X)|~wise(X))=>funny(X)))&
(![X]:((~patient(X)|quiet(X))<=>humble(X)))&
(![X]:(wise(X)=>~wise(X)))&
(![X]:((~old(X)<~>~generous(X))=>(~strong(X)<~>tall(X))))&
((?[X]:((calm(X)<~>~wise(X))))=>((kind(susan)|old(susan))))&
(![X]:((~calm(X)|~rich(X))<=>(humble(X)&quiet(X))))&
(![X]:((~tall(X)|happy(X))=>~kind(X... | ~quiet(susan) | [
"p2",
"p4",
"p5",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 819998385093889800086861
% SZS output start Proof for 819998385093889800086861
3. ! [X0] : (wise(X0) => ~wise(X0)) [input p2]
5. ? [X0] : (calm(X0) <~> ~wise(X0)) => (old(susan) | kind(susan)) [input p4]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (quiet(X0) & humble(X0))) [input p5]
15. ! [... | 0 |
If fred is not humble or not quiet then john is not creative and vice versa.
If susan is both not funny and not patient then susan is both patient and brave and vice versa.
Everyone who is either calm or not brave is patient or humble.
If alice is either not happy or old then paul is not creative or rich.
Everyone who ... | John is not generous. | neutral | (((~humble(fred)|~quiet(fred)))<=>(~creative(john)))&
(((~funny(susan)&~patient(susan)))<=>((patient(susan)&brave(susan))))&
(![X]:((calm(X)<~>~brave(X))=>(patient(X)|humble(X))))&
(((~happy(alice)<~>old(alice)))=>((~creative(paul)|rich(paul))))&
(![X]:(~generous(X)=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)|calm(X)))... | ~generous(john) | [] | null | 0 |
Everyone who is either not happy or not curious is curious.
If someone is either rich or funny then someone is both humble and creative and vice versa.
If john is both not generous and generous then someone is either humble or tall.
Everyone who is not kind or creative is not calm or old and vice versa.
If alice is fun... | Susan is curious. | contradiction | (![X]:((~happy(X)<~>~curious(X))=>curious(X)))&
((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((humble(X)&creative(X)))))&
(((~generous(john)&generous(john)))=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~calm(X)|old(X))))&
(((funny(alice)|kind(alice)))<=>((~quiet(alice)|quiet(alice))))&
(![X]:((quiet(X)... | curious(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1869222417505195095308032
% SZS output start Proof for 1869222417505195095308032
10. ! [X0] : (curious(X0) <=> (~curious(X0) & ~patient(X0))) [input p9]
21. curious(susan) [input hypothesis]
52. ! [X0] : ((curious(X0) | (curious(X0) | patient(X0))) & ((~curious(X0) & ~patient(X0)) | ~curi... | 0 |
If someone is both not kind and wise then someone is either brave or not rich. Everyone who is not quiet is both not brave and curious. If susan is both not curious and calm then someone is both not patient and not rich and vice versa. If someone is both creative and curious then someone is patient or not funny and vic... | Susan is not patient. | entailment | ((?[X]:((~kind(X)&wise(X))))=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(s... | ~patient(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7381081208771282724111412
% SZS output start Proof for 7381081208771282724111412
4. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p3]
7. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p6]
25. patient(susan) [input hypothesis]
27. ? [... | 0 |
Everyone who is both curious and patient is both not creative and happy.
If someone is happy or not curious then susan is both kind and not humble and vice versa.
Everyone who is both not happy and not funny is either not generous or not happy.
Everyone who is both quiet and kind is not brave or funny and vice versa.
I... | Susan is not creative. | neutral | (![X]:((curious(X)&patient(X))=>(~creative(X)&happy(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((kind(susan)&~humble(susan))))&
(![X]:((~happy(X)&~funny(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((quiet(X)&kind(X))<=>(~brave(X)|funny(X))))&
(((curious(alice)|creative(alice)))=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:((~c... | ~creative(susan) | [] | null | 0 |
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