premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either generous or funny is both not generous and not wise.
Everyone who is quiet is both tall and happy.
If paul is both generous and not calm then someone is either not funny or curious and vice versa.
Everyone who is not funny or patient is not creative or strong.
If alice is both not humble and kind... | Lucy is not funny. | neutral | (![X]:((generous(X)<~>funny(X))=>(~generous(X)&~wise(X))))&
(![X]:(quiet(X)=>(tall(X)&happy(X))))&
(((generous(paul)&~calm(paul)))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((~funny(X)|patient(X))=>(~creative(X)|strong(X))))&
(((~humble(alice)&kind(alice)))=>((kind(alice)|curious(alice))))&
((?[X]:(generous(X)))=>((~... | ~funny(lucy) | [] | null | 0 |
Everyone who is both not humble and not happy is both not curious and patient and vice versa.
Everyone who is not brave or strong is not kind.
Everyone who is not generous is not creative or not rich and vice versa.
If paul is kind then fred is not curious or not humble and vice versa.
If someone is both not calm and n... | Fred is not happy. | entailment | (![X]:((~humble(X)&~happy(X))<=>(~curious(X)&patient(X))))&
(![X]:((~brave(X)|strong(X))=>~kind(X)))&
(![X]:(~generous(X)<=>(~creative(X)|~rich(X))))&
((kind(paul))<=>((~curious(fred)|~humble(fred))))&
((?[X]:((~calm(X)&~funny(X))))<=>((~curious(paul)|~funny(paul))))&
(![X]:((~generous(X)&quiet(X))<=>(~wise(X)|~happy(X... | ~happy(fred) | [
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4250658947292383974639521
% SZS output start Proof for 4250658947292383974639521
6. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (~happy(X0) | ~wise(X0))) [input p5]
13. ! [X0] : ((~wise(X0) | ~old(X0)) <=> generous(X0)) [input p12]
14. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : (~wise(X0)... | 0 |
Everyone who is both strong and not calm is not quiet and vice versa. If john is old or strong then lucy is not strong. Everyone who is both not quiet and happy is either rich or not creative. Everyone who is either not rich or not strong is strong and vice versa. If susan is both not brave and not quiet then someone i... | John is not curious. | entailment | (![X]:((strong(X)&~calm(X))<=>~quiet(X)))&
(((old(john)|strong(john)))=>(~strong(lucy)))&
(![X]:((~quiet(X)&happy(X))=>(rich(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X... | ~curious(john) | [
"p0",
"p1",
"p10",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7839872555330398287618003
% SZS output start Proof for 7839872555330398287618003
1. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~quiet(X0)) [input p0]
2. (strong(john) | old(john)) => ~strong(lucy) [input p1]
11. ! [X0] : ((strong(X0) & curious(X0)) <=> brave(X0)) [input p10]
13. ! [X0] : ((~g... | 0 |
If someone is patient or quiet then someone is curious or not brave. Everyone who is either quiet or not funny is both not rich and funny and vice versa. If someone is calm or happy then someone is kind or funny. If fred is either not patient or not quiet then mary is both tall and brave. Everyone who is both not wise ... | Alice is not happy. | neutral | ((?[X]:((patient(X)|quiet(X))))=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:((quiet(X)<~>~funny(X))<=>(~rich(X)&funny(X))))&
((?[X]:((calm(X)|happy(X))))=>(?[X]:((kind(X)|funny(X)))))&
(((~patient(fred)<~>~quiet(fred)))=>((tall(mary)&brave(mary))))&
(![X]:((~wise(X)&old(X))=>old(X)))&
(![X]:((~rich(X)|happy(X))=>brave(X))... | ~happy(alice) | [] | null | 0 |
Everyone who is either funny or not generous is both not creative and rich and vice versa. Everyone who is not rich is happy and vice versa. Everyone who is patient or kind is either humble or brave. If fred is either not tall or not creative then alice is not quiet and vice versa. If paul is both not patient and wise ... | Fred is wise. | entailment | (![X]:((funny(X)<~>~generous(X))<=>(~creative(X)&rich(X))))&
(![X]:(~rich(X)<=>happy(X)))&
(![X]:((patient(X)|kind(X))=>(humble(X)<~>brave(X))))&
(((~tall(fred)<~>~creative(fred)))<=>(~quiet(alice)))&
(((~patient(paul)&wise(paul)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:((~calm(X)|patient(X))<=>(strong(X)<~>old(X))))&... | wise(fred) | [
"p1",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6909035201080838185623686
% SZS output start Proof for 6909035201080838185623686
2. ! [X0] : (~rich(X0) <=> happy(X0)) [input p1]
10. ! [X0] : (~happy(X0) => (strong(X0) & wise(X0))) [input p9]
11. ! [X0] : ((~rich(X0) | curious(X0)) <=> (~quiet(X0) & patient(X0))) [input p10]
14. ! [X0] ... | 0 |
If alice is both not calm and creative then someone is both not strong and brave and vice versa. If paul is both happy and creative then john is either not kind or not curious. If someone is creative then mary is not old or tall. Everyone who is either old or not calm is both not generous and generous and vice versa. E... | Paul is creative. | neutral | (((~calm(alice)&creative(alice)))<=>(?[X]:((~strong(X)&brave(X)))))&
(((happy(paul)&creative(paul)))=>((~kind(john)<~>~curious(john))))&
((?[X]:(creative(X)))=>((~old(mary)|tall(mary))))&
(![X]:((old(X)<~>~calm(X))<=>(~generous(X)&generous(X))))&
(![X]:((~patient(X)&~happy(X))=>(~rich(X)|~wise(X))))&
(![X]:((~curious(X... | creative(paul) | [] | null | 0 |
Everyone who is both funny and not brave is patient and vice versa. Everyone who is tall is not patient or not brave and vice versa. If john is not quiet then someone is not brave or tall. If someone is not creative or humble then paul is both not calm and not patient. Everyone who is strong or humble is not quiet or c... | Fred is creative. | contradiction | (![X]:((funny(X)&~brave(X))<=>patient(X)))&
(![X]:(tall(X)<=>(~patient(X)|~brave(X))))&
((~quiet(john))=>(?[X]:((~brave(X)|tall(X)))))&
((?[X]:((~creative(X)|humble(X))))=>((~calm(paul)&~patient(paul))))&
(![X]:((strong(X)|humble(X))<=>(~quiet(X)|curious(X))))&
(((~old(john)|patient(john)))=>(?[X]:((brave(X)&old(X)))))... | creative(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6184244806932737695592646
% SZS output start Proof for 6184244806932737695592646
15. ? [X0] : (~patient(X0) & patient(X0)) <=> ? [X0] : creative(X0) [input p14]
24. creative(fred) [input hypothesis]
26. ? [X0] : (~patient(X0) & patient(X0)) <=> ? [X1] : creative(X1) [rectify 15]
62. (? [X... | 0 |
If someone is happy or not rich then someone is calm or not quiet.
Everyone who is not strong is both not creative and not tall and vice versa.
Everyone who is old is not curious or happy.
Everyone who is both calm and not happy is patient and vice versa.
Everyone who is not wise or wise is not humble or strong and vic... | John is rich. | neutral | ((?[X]:((happy(X)|~rich(X))))=>(?[X]:((calm(X)|~quiet(X)))))&
(![X]:(~strong(X)<=>(~creative(X)&~tall(X))))&
(![X]:(old(X)=>(~curious(X)|happy(X))))&
(![X]:((calm(X)&~happy(X))<=>patient(X)))&
(![X]:((~wise(X)|wise(X))<=>(~humble(X)|strong(X))))&
(![X]:((brave(X)<~>tall(X))=>~curious(X)))&
(((~wise(alice)&creative(alic... | rich(john) | [] | null | 0 |
Everyone who is rich is both generous and not curious and vice versa. If susan is either humble or not curious then lucy is not rich or old and vice versa. If someone is not brave or not humble then someone is not creative or rich and vice versa. Everyone who is either not patient or humble is either old or curious and... | John is not happy. | entailment | (![X]:(rich(X)<=>(generous(X)&~curious(X))))&
(((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funny(john)))<=>((funny(alice)<~>patient(alice))))&
((?[X]:((... | ~happy(john) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1675873563439989659744328
% SZS output start Proof for 1675873563439989659744328
7. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p8]
22. happy(john) [input hypothesis]
43. ! [X0] : ((... | 0 |
If fred is either creative or not rich then someone is not happy or wise and vice versa.
If someone is kind then alice is either not brave or not patient and vice versa.
Everyone who is wise or not wise is rich.
Everyone who is both rich and not kind is both funny and strong and vice versa.
If someone is either tall or... | Lucy is curious. | entailment | (((creative(fred)<~>~rich(fred)))<=>(?[X]:((~happy(X)|wise(X)))))&
((?[X]:(kind(X)))<=>((~brave(alice)<~>~patient(alice))))&
(![X]:((wise(X)|~wise(X))=>rich(X)))&
(![X]:((rich(X)&~kind(X))<=>(funny(X)&strong(X))))&
((?[X]:((tall(X)<~>generous(X))))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~old(X)|~calm(X))=>(~tall(X)|cre... | curious(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 62501343792131637746906
% SZS output start Proof for 62501343792131637746906
3. ! [X0] : ((~wise(X0) | wise(X0)) => rich(X0)) [input p2]
6. ! [X0] : ((~calm(X0) | ~old(X0)) => (creative(X0) | ~tall(X0))) [input p5]
7. ! [X0] : ((~kind(X0) <~> ~rich(X0)) <=> (~creative(X0) <~> curious(X0))... | 0 |
Everyone who is not tall or not curious is both patient and not old.
If susan is not curious then someone is both strong and not calm and vice versa.
If lucy is either humble or rich then alice is either not humble or not calm.
If mary is either not old or funny then someone is not patient.
If someone is both not humbl... | Mary is not curious. | contradiction | (![X]:((~tall(X)|~curious(X))=>(patient(X)&~old(X))))&
((~curious(susan))<=>(?[X]:((strong(X)&~calm(X)))))&
(((humble(lucy)<~>rich(lucy)))=>((~humble(alice)<~>~calm(alice))))&
(((~old(mary)<~>funny(mary)))=>(?[X]:(~patient(X))))&
((?[X]:((~humble(X)&~happy(X))))=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:((patient(X)&hu... | ~curious(mary) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7816779814781505692730319
% SZS output start Proof for 7816779814781505692730319
1. ! [X0] : ((~curious(X0) | ~tall(X0)) => (~old(X0) & patient(X0))) [input p0]
17. ~patient(mary) & creative(mary) [input p16]
23. ~curious(mary) [input hypothesis]
29. ! [X0] : ((~old(X0) & patient(X0)) | (... | 0 |
Everyone who is calm or not old is either not strong or not generous and vice versa.
If someone is wise then lucy is tall.
If alice is both patient and happy then fred is not generous.
If john is both not kind and happy then someone is brave or calm and vice versa.
If lucy is not generous or humble then someone is not ... | Alice is strong. | entailment | (![X]:((calm(X)|~old(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:(wise(X)))=>(tall(lucy)))&
(((patient(alice)&happy(alice)))=>(~generous(fred)))&
(((~kind(john)&happy(john)))<=>(?[X]:((brave(X)|calm(X)))))&
(((~generous(lucy)|humble(lucy)))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((generous(X)&~creative(X))=>~generou... | strong(alice) | [
"p0",
"p3",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7943408319877967809338214
% SZS output start Proof for 7943408319877967809338214
1. ! [X0] : ((~old(X0) | calm(X0)) <=> (~strong(X0) <~> ~generous(X0))) [input p0]
4. (happy(john) & ~kind(john)) <=> ? [X0] : (calm(X0) | brave(X0)) [input p3]
7. ! [X0] : ((kind(X0) | tall(X0)) <=> (~patien... | 0 |
If someone is both strong and not strong then someone is both rich and curious and vice versa. Everyone who is not strong is both not tall and calm and vice versa. Everyone who is either calm or not happy is not curious. Everyone who is not rich or not tall is not happy or rich and vice versa. Everyone who is not curio... | Fred is not tall. | contradiction | ((?[X]:((strong(X)&~strong(X))))<=>(?[X]:((rich(X)&curious(X)))))&
(![X]:(~strong(X)<=>(~tall(X)&calm(X))))&
(![X]:((calm(X)<~>~happy(X))=>~curious(X)))&
(![X]:((~rich(X)|~tall(X))<=>(~happy(X)|rich(X))))&
(![X]:(~curious(X)<=>(wise(X)<~>~patient(X))))&
((?[X]:((rich(X)&~patient(X))))=>(?[X]:(old(X))))&
(((~brave(lucy)... | ~tall(fred) | [
"p0",
"p1",
"p3",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7488998626800636714166076
% SZS output start Proof for 7488998626800636714166076
1. ? [X0] : (~strong(X0) & strong(X0)) <=> ? [X0] : (curious(X0) & rich(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> (calm(X0) & ~tall(X0))) [input p1]
4. ! [X0] : ((~tall(X0) | ~rich(X0)) <=> (rich(X0) | ~ha... | 0 |
If susan is either curious or not creative then susan is strong. Everyone who is both curious and not quiet is either not patient or kind and vice versa. Everyone who is either humble or not wise is both not calm and kind. Everyone who is not tall is not wise and vice versa. If alice is both generous and not quiet then... | Susan is not funny. | entailment | (((curious(susan)<~>~creative(susan)))=>(strong(susan)))&
(![X]:((curious(X)&~quiet(X))<=>(~patient(X)<~>kind(X))))&
(![X]:((humble(X)<~>~wise(X))=>(~calm(X)&kind(X))))&
(![X]:(~tall(X)<=>~wise(X)))&
(((generous(alice)&~quiet(alice)))<=>((~humble(mary)&~rich(mary))))&
(![X]:((~generous(X)<~>creative(X))=>(funny(X)<~>~h... | ~funny(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7981281895295251692872
% SZS output start Proof for 7981281895295251692872
24. ~kind(susan) & ~funny(susan) [input p23]
25. funny(susan) [input hypothesis]
124. ~funny(susan) [cnf transformation 24]
126. funny(susan) [cnf transformation 25]
263. $false [subsumption resolution 126,124]
% S... | 0 |
Everyone who is generous is not quiet or not kind and vice versa.
Everyone who is not generous or kind is both not wise and not old and vice versa.
If mary is either tall or quiet then someone is both not old and not quiet.
Everyone who is either curious or not curious is not old or kind and vice versa.
Everyone who is... | Alice is wise. | entailment | (![X]:(generous(X)<=>(~quiet(X)|~kind(X))))&
(![X]:((~generous(X)|kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X]:((~brave(X)|curious(X))<=>~curious(X)))&
((?[X]:((curious(X)|humble(X))))=>(creative(john)))&
((... | wise(alice) | [
"p0",
"p1",
"p3",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1570024714485953445728036
% SZS output start Proof for 1570024714485953445728036
1. ! [X0] : (generous(X0) <=> (~kind(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((kind(X0) | ~generous(X0)) <=> (~old(X0) & ~wise(X0))) [input p1]
4. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (kind(X0) | ~o... | 0 |
Everyone who is both not funny and not humble is both not creative and quiet.
Everyone who is either tall or patient is both rich and not patient.
If alice is not calm or creative then someone is patient or not happy.
If someone is not funny or not old then someone is both not tall and not humble.
Everyone who is funny... | Alice is funny. | entailment | (![X]:((~funny(X)&~humble(X))=>(~creative(X)&quiet(X))))&
(![X]:((tall(X)<~>patient(X))=>(rich(X)&~patient(X))))&
(((~calm(alice)|creative(alice)))=>(?[X]:((patient(X)|~happy(X)))))&
((?[X]:((~funny(X)|~old(X))))=>(?[X]:((~tall(X)&~humble(X)))))&
(![X]:((funny(X)|~strong(X))<=>(strong(X)|~happy(X))))&
(![X]:(calm(X)<=>... | funny(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 787817368750021892380311
% SZS output start Proof for 787817368750021892380311
20. funny(alice) [input p19]
25. ~funny(alice) [input hypothesis]
155. funny(alice) [cnf transformation 20]
162. ~funny(alice) [cnf transformation 25]
363. $false [subsumption resolution 162,155]
% SZS output e... | 0 |
If someone is both rich and not quiet then someone is both quiet and wise and vice versa.
Everyone who is both rich and not humble is generous or not kind.
Everyone who is not humble or creative is either kind or not strong.
If someone is not creative then someone is humble or not brave and vice versa.
Everyone who is ... | Lucy is funny. | contradiction | ((?[X]:((rich(X)&~quiet(X))))<=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:((rich(X)&~humble(X))=>(generous(X)|~kind(X))))&
(![X]:((~humble(X)|creative(X))=>(kind(X)<~>~strong(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((humble(X)|~brave(X)))))&
(![X]:((~rich(X)&funny(X))=>rich(X)))&
(![X]:((calm(X)<~>~strong(X))=>(humble(X)&old(X... | funny(lucy) | [
"p4",
"p6",
"p7",
"p10",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3972899997975975562247601
% SZS output start Proof for 3972899997975975562247601
5. ! [X0] : ((funny(X0) & ~rich(X0)) => rich(X0)) [input p4]
7. ~strong(lucy) <=> ? [X0] : patient(X0) [input p6]
8. ! [X0] : ((~strong(X0) & happy(X0)) => (happy(X0) <~> ~generous(X0))) [input p7]
11. ! [X0]... | 0 |
Everyone who is not humble is old. If paul is strong then susan is both not happy and not calm. If susan is either quiet or not generous then someone is both happy and calm. If someone is either not strong or not creative then someone is not happy and vice versa. If susan is not calm then susan is either not calm or ta... | Fred is humble. | neutral | (![X]:(~humble(X)=>old(X)))&
((strong(paul))=>((~happy(susan)&~calm(susan))))&
(((quiet(susan)<~>~generous(susan)))=>(?[X]:((happy(X)&calm(X)))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:(~happy(X))))&
((~calm(susan))=>((~calm(susan)<~>tall(susan))))&
((?[X]:((~old(X)<~>~tall(X))))<=>((~strong(john)&~funny(john))... | humble(fred) | [] | null | 0 |
If someone is not happy or happy then someone is not calm or not funny and vice versa.
If someone is brave then someone is not humble and vice versa.
If someone is both happy and not creative then someone is both not old and not calm and vice versa.
Everyone who is not curious or quiet is not strong.
Everyone who is no... | Susan is creative. | contradiction | ((?[X]:((~happy(X)|happy(X))))<=>(?[X]:((~calm(X)|~funny(X)))))&
((?[X]:(brave(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((happy(X)&~creative(X))))<=>(?[X]:((~old(X)&~calm(X)))))&
(![X]:((~curious(X)|quiet(X))=>~strong(X)))&
(![X]:(~kind(X)<=>(brave(X)|rich(X))))&
(![X]:((old(X)|patient(X))<=>(creative(X)&~kind(X))))&
(![X]:... | creative(susan) | [
"p4",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6795041418722009265590474
% SZS output start Proof for 6795041418722009265590474
5. ! [X0] : (~kind(X0) <=> (rich(X0) | brave(X0))) [input p4]
17. kind(susan) & ~old(susan) [input p16]
22. ~rich(susan) <~> creative(susan) [input p21]
24. creative(susan) [input hypothesis]
53. ! [X0] : ((~... | 0 |
If someone is not wise then john is either not brave or calm.
Everyone who is either not calm or not rich is either patient or not funny and vice versa.
If lucy is both not wise and brave then someone is either not old or not happy and vice versa.
Everyone who is either not humble or tall is calm or not creative and vi... | Mary is patient. | contradiction | ((?[X]:(~wise(X)))=>((~brave(john)<~>calm(john))))&
(![X]:((~calm(X)<~>~rich(X))<=>(patient(X)<~>~funny(X))))&
(((~wise(lucy)&brave(lucy)))<=>(?[X]:((~old(X)<~>~happy(X)))))&
(![X]:((~humble(X)<~>tall(X))<=>(calm(X)|~creative(X))))&
(![X]:((creative(X)<~>generous(X))=>(curious(X)|tall(X))))&
((?[X]:(calm(X)))<=>((happy... | patient(mary) | [
"p3",
"p8",
"p10",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3593859832853429002317170
% SZS output start Proof for 3593859832853429002317170
4. ! [X0] : ((~humble(X0) <~> tall(X0)) <=> (~creative(X0) | calm(X0))) [input p3]
9. ! [X0] : ((strong(X0) & tall(X0)) => (humble(X0) <~> strong(X0))) [input p8]
11. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> ~p... | 0 |
Everyone who is either generous or not quiet is generous or happy and vice versa.
Everyone who is brave or not wise is not rich and vice versa.
If john is not rich then fred is generous.
Everyone who is either wise or brave is curious or not patient.
If mary is brave or not quiet then someone is both funny and humble.
... | Mary is creative. | entailment | (![X]:((generous(X)<~>~quiet(X))<=>(generous(X)|happy(X))))&
(![X]:((brave(X)|~wise(X))<=>~rich(X)))&
((~rich(john))=>(generous(fred)))&
(![X]:((wise(X)<~>brave(X))=>(curious(X)|~patient(X))))&
(((brave(mary)|~quiet(mary)))=>(?[X]:((funny(X)&humble(X)))))&
(![X]:((~rich(X)|~happy(X))=>(~old(X)&~funny(X))))&
(((old(mary... | creative(mary) | [
"p1",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3257325437565682855380616
% SZS output start Proof for 3257325437565682855380616
2. ! [X0] : ((~wise(X0) | brave(X0)) <=> ~rich(X0)) [input p1]
6. ! [X0] : ((~happy(X0) | ~rich(X0)) => (~funny(X0) & ~old(X0))) [input p5]
8. ! [X0] : ((generous(X0) | ~generous(X0)) => ~generous(X0)) [input... | 0 |
Everyone who is either strong or wise is either not generous or not creative and vice versa.
If alice is both kind and old then someone is not calm.
Everyone who is patient or not happy is not brave and vice versa.
Everyone who is both humble and not wise is both wise and humble and vice versa.
Everyone who is quiet or... | John is tall. | entailment | (![X]:((strong(X)<~>wise(X))<=>(~generous(X)<~>~creative(X))))&
(((kind(alice)&old(alice)))=>(?[X]:(~calm(X))))&
(![X]:((patient(X)|~happy(X))<=>~brave(X)))&
(![X]:((humble(X)&~wise(X))<=>(wise(X)&humble(X))))&
(![X]:((quiet(X)|creative(X))=>(funny(X)&humble(X))))&
(((~humble(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
... | tall(john) | [
"p3",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2475485807789378214199762
% SZS output start Proof for 2475485807789378214199762
4. ! [X0] : ((~wise(X0) & humble(X0)) <=> (humble(X0) & wise(X0))) [input p3]
5. ! [X0] : ((creative(X0) | quiet(X0)) => (humble(X0) & funny(X0))) [input p4]
14. ? [X0] : (~funny(X0) | ~tall(X0)) => ? [X0] : ... | 0 |
Everyone who is either strong or not patient is not old and vice versa.
Everyone who is either not funny or quiet is both not wise and generous and vice versa.
If paul is both not creative and creative then someone is strong.
If lucy is not old then someone is not brave or quiet.
If someone is both wise and calm then s... | Mary is not brave. | neutral | (![X]:((strong(X)<~>~patient(X))<=>~old(X)))&
(![X]:((~funny(X)<~>quiet(X))<=>(~wise(X)&generous(X))))&
(((~creative(paul)&creative(paul)))=>(?[X]:(strong(X))))&
((~old(lucy))=>(?[X]:((~brave(X)|quiet(X)))))&
((?[X]:((wise(X)&calm(X))))<=>(?[X]:((funny(X)|brave(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>(?[X]:(~humble(X)))... | ~brave(mary) | [] | null | 0 |
Everyone who is either humble or quiet is both quiet and happy and vice versa.
If someone is not patient or not curious then fred is curious.
If someone is not patient or not brave then fred is happy and vice versa.
Everyone who is not strong is not creative or not humble.
If alice is either patient or not curious then... | Susan is funny. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(quiet(X)&happy(X))))&
((?[X]:((~patient(X)|~curious(X))))=>(curious(fred)))&
((?[X]:((~patient(X)|~brave(X))))<=>(happy(fred)))&
(![X]:(~strong(X)=>(~creative(X)|~humble(X))))&
(((patient(alice)<~>~curious(alice)))=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:(patient(X)<=>(happy(X)<~>wise(X... | funny(susan) | [
"p0",
"p5",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1297486068772582111196402
% SZS output start Proof for 1297486068772582111196402
1. ! [X0] : ((humble(X0) <~> quiet(X0)) <=> (happy(X0) & quiet(X0))) [input p0]
6. ! [X0] : (patient(X0) <=> (happy(X0) <~> wise(X0))) [input p5]
11. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> funny(X0)) [input p1... | 0 |
If someone is not brave or not rich then susan is generous and vice versa.
Everyone who is generous is funny.
Everyone who is wise is both not kind and brave.
Everyone who is both wise and funny is both strong and wise and vice versa.
Everyone who is not rich is either not curious or quiet.
If someone is calm then alic... | Mary is not tall. | neutral | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:(generous(X)=>funny(X)))&
(![X]:(wise(X)=>(~kind(X)&brave(X))))&
(![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~... | ~tall(mary) | [] | null | 0 |
If someone is not patient or not humble then paul is both calm and brave and vice versa.
If someone is wise or not humble then paul is either not creative or old.
Everyone who is not curious or not funny is both patient and curious and vice versa.
Everyone who is either tall or wise is both tall and not tall and vice v... | Susan is not tall. | entailment | ((?[X]:((~patient(X)|~humble(X))))<=>((calm(paul)&brave(paul))))&
((?[X]:((wise(X)|~humble(X))))=>((~creative(paul)<~>old(paul))))&
(![X]:((~curious(X)|~funny(X))<=>(patient(X)&curious(X))))&
(![X]:((tall(X)<~>wise(X))<=>(tall(X)&~tall(X))))&
(![X]:((~curious(X)&wise(X))<=>(~tall(X)&~patient(X))))&
((?[X]:((strong(X)<~... | ~tall(susan) | [
"p2",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4718407861912114629869032
% SZS output start Proof for 4718407861912114629869032
3. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (curious(X0) & patient(X0))) [input p2]
7. ! [X0] : ((tall(X0) | ~patient(X0)) => (rich(X0) & patient(X0))) [input p6]
13. (kind(susan) | brave(susan)) <=> (quiet(... | 0 |
If fred is either generous or patient then someone is calm and vice versa.
Everyone who is both humble and brave is either not patient or tall.
Everyone who is both humble and kind is either calm or old and vice versa.
If paul is both not humble and wise then mary is generous and vice versa.
If someone is both curious ... | John is wise. | entailment | (((generous(fred)<~>patient(fred)))<=>(?[X]:(calm(X))))&
(![X]:((humble(X)&brave(X))=>(~patient(X)<~>tall(X))))&
(![X]:((humble(X)&kind(X))<=>(calm(X)<~>old(X))))&
(((~humble(paul)&wise(paul)))<=>(generous(mary)))&
((?[X]:((curious(X)&old(X))))=>((funny(alice)<~>happy(alice))))&
((?[X]:(~kind(X)))=>((wise(john)&old(joh... | wise(john) | [
"p0",
"p5",
"p6",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3893289266357972084705490
% SZS output start Proof for 3893289266357972084705490
1. (generous(fred) <~> patient(fred)) <=> ? [X0] : calm(X0) [input p0]
6. ? [X0] : ~kind(X0) => (old(john) & wise(john)) [input p5]
7. (curious(fred) & ~kind(fred)) <=> ? [X0] : (~patient(X0) <~> ~generous(X0... | 0 |
If fred is either not strong or brave then mary is both kind and happy.
Everyone who is either not calm or strong is kind or creative.
Everyone who is either strong or not tall is both strong and not kind and vice versa.
Everyone who is both not creative and not generous is calm and vice versa.
Everyone who is either n... | John is tall. | entailment | (((~strong(fred)<~>brave(fred)))=>((kind(mary)&happy(mary))))&
(![X]:((~calm(X)<~>strong(X))=>(kind(X)|creative(X))))&
(![X]:((strong(X)<~>~tall(X))<=>(strong(X)&~kind(X))))&
(![X]:((~creative(X)&~generous(X))<=>calm(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(tall(X)<~>~wise(X))))&
(![X]:((~humble(X)|~brave(X))=>(quiet(X... | tall(john) | [
"p2",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3073489535350719712311703
% SZS output start Proof for 3073489535350719712311703
3. ! [X0] : ((strong(X0) <~> ~tall(X0)) <=> (~kind(X0) & strong(X0))) [input p2]
9. ! [X0] : ((~old(X0) & ~wise(X0)) <=> strong(X0)) [input p8]
18. old(john) [input p17]
23. ~tall(john) [input hypothesis]
42.... | 0 |
If someone is funny then john is either tall or not quiet and vice versa. Everyone who is both not rich and not patient is both brave and not generous. If susan is creative or wise then someone is not calm. If someone is not kind or brave then someone is calm or funny and vice versa. If someone is either wise or humble... | Susan is wise. | neutral | ((?[X]:(funny(X)))<=>((tall(john)<~>~quiet(john))))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&~generous(X))))&
(((creative(susan)|wise(susan)))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((wise(X)<~>humble(X))))<=>(?[X]:((~kind(X)|~happy(X)))))&
(((~wise(mary)&funny(mary))... | wise(susan) | [] | null | 0 |
If mary is not rich or not calm then lucy is not happy or not patient.
If mary is not kind or curious then someone is not patient or not brave and vice versa.
Everyone who is not quiet or not tall is both not calm and not brave.
If susan is either not patient or curious then fred is not wise or curious.
If someone is b... | Fred is brave. | neutral | (((~rich(mary)|~calm(mary)))=>((~happy(lucy)|~patient(lucy))))&
(((~kind(mary)|curious(mary)))<=>(?[X]:((~patient(X)|~brave(X)))))&
(![X]:((~quiet(X)|~tall(X))=>(~calm(X)&~brave(X))))&
(((~patient(susan)<~>curious(susan)))=>((~wise(fred)|curious(fred))))&
((?[X]:((~patient(X)&brave(X))))=>(?[X]:((~kind(X)|old(X)))))&
(... | brave(fred) | [] | null | 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... | Mary is not humble. | neutral | (![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)... | ~humble(mary) | [] | null | 0 |
Everyone who is both not tall and not funny is calm.
Everyone who is either not tall or not funny is brave or not kind and vice versa.
Everyone who is wise or humble is both not strong and not generous and vice versa.
Everyone who is both patient and funny is wise or patient.
Everyone who is either kind or rich is not ... | Susan is not strong. | entailment | (![X]:((~tall(X)&~funny(X))=>calm(X)))&
(![X]:((~tall(X)<~>~funny(X))<=>(brave(X)|~kind(X))))&
(![X]:((wise(X)|humble(X))<=>(~strong(X)&~generous(X))))&
(![X]:((patient(X)&funny(X))=>(wise(X)|patient(X))))&
(![X]:((kind(X)<~>rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((generous(X)<~>wise(X))=>(~patient(X)<~>~strong(X)... | ~strong(susan) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1729610109563972729145096
% SZS output start Proof for 1729610109563972729145096
3. ! [X0] : ((humble(X0) | wise(X0)) <=> (~generous(X0) & ~strong(X0))) [input p2]
12. ! [X0] : ((~humble(X0) <~> strong(X0)) <=> ~wise(X0)) [input p11]
23. strong(susan) [input hypothesis]
43. ! [X0] : (((hu... | 0 |
If mary is patient then someone is both rich and not creative. Everyone who is not curious is both not wise and not tall. If mary is not tall or not humble then someone is not generous or not calm. Everyone who is either humble or calm is either not humble or not funny and vice versa. Everyone who is either not humble ... | Fred is not tall. | contradiction | ((patient(mary))=>(?[X]:((rich(X)&~creative(X)))))&
(![X]:(~curious(X)=>(~wise(X)&~tall(X))))&
(((~tall(mary)|~humble(mary)))=>(?[X]:((~generous(X)|~calm(X)))))&
(![X]:((humble(X)<~>calm(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((~humble(X)<~>~funny(X))=>strong(X)))&
((?[X]:((~brave(X)|happy(X))))<=>((humble(fred)&happy... | ~tall(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1964408575732083668726326
% SZS output start Proof for 1964408575732083668726326
7. ! [X0] : ((~tall(X0) | ~strong(X0)) => (strong(X0) & ~strong(X0))) [input p6]
25. ~tall(fred) [input hypothesis]
30. ! [X0] : ((strong(X0) & ~strong(X0)) | (tall(X0) & strong(X0))) [ennf transformation 7]
... | 0 |
Everyone who is either not generous or wise is rich. If paul is old or patient then john is tall or not quiet. Everyone who is generous or not quiet is curious and vice versa. Everyone who is curious is either funny or not quiet and vice versa. If someone is both wise and not tall then john is humble. If someone is eit... | John is rich. | neutral | (![X]:((~generous(X)<~>wise(X))=>rich(X)))&
(((old(paul)|patient(paul)))=>((tall(john)|~quiet(john))))&
(![X]:((generous(X)|~quiet(X))<=>curious(X)))&
(![X]:(curious(X)<=>(funny(X)<~>~quiet(X))))&
((?[X]:((wise(X)&~tall(X))))=>(humble(john)))&
((?[X]:((kind(X)<~>~generous(X))))<=>((kind(fred)|curious(fred))))&
((?[X]:(... | rich(john) | [] | null | 0 |
Everyone who is both not generous and strong is not rich or not curious.
Everyone who is both brave and strong is both not humble and old and vice versa.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not... | John is curious. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(~humble(X)&old(X))))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]... | curious(john) | [] | null | 0 |
If john is not brave or rich then someone is not curious or not old and vice versa. Everyone who is not creative is both not brave and tall. If someone is both not curious and strong then someone is calm or not rich and vice versa. Everyone who is wise is either not quiet or brave and vice versa. Everyone who is both q... | John is not patient. | entailment | (((~brave(john)|rich(john)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(~creative(X)=>(~brave(X)&tall(X))))&
((?[X]:((~curious(X)&strong(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(wise(X)<=>(~quiet(X)<~>brave(X))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X... | ~patient(john) | [
"p3",
"p19",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 26256776339535881066021
% SZS output start Proof for 26256776339535881066021
4. ! [X0] : (wise(X0) <=> (~quiet(X0) <~> brave(X0))) [input p3]
20. wise(john) <~> ~brave(john) [input p19]
21. ~patient(john) <~> ~quiet(john) [input p20]
23. ~brave(john) [input p22]
25. patient(john) [input h... | 0 |
Everyone who is both calm and not patient is either funny or old and vice versa.
If susan is quiet then mary is either not brave or humble.
If paul is wise then john is patient or creative.
If someone is both tall and not humble then someone is humble or funny.
Everyone who is either not funny or rich is both kind and ... | Susan is not kind. | entailment | (![X]:((calm(X)&~patient(X))<=>(funny(X)<~>old(X))))&
((quiet(susan))=>((~brave(mary)<~>humble(mary))))&
((wise(paul))=>((patient(john)|creative(john))))&
((?[X]:((tall(X)&~humble(X))))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((~funny(X)<~>rich(X))=>(kind(X)&~funny(X))))&
(![X]:((~quiet(X)|~brave(X))<=>(~kind(X)|~tall(X... | ~kind(susan) | [
"p0",
"p4",
"p5",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 619642892848368486628108
% SZS output start Proof for 619642892848368486628108
1. ! [X0] : ((~patient(X0) & calm(X0)) <=> (funny(X0) <~> old(X0))) [input p0]
5. ! [X0] : ((~funny(X0) <~> rich(X0)) => (~funny(X0) & kind(X0))) [input p4]
6. ! [X0] : ((~brave(X0) | ~quiet(X0)) <=> (~tall(X0)... | 0 |
If john is either not tall or not kind then someone is not funny or patient.
If john is either strong or not tall then someone is either not tall or kind.
Everyone who is either not wise or not old is strong or old and vice versa.
Everyone who is not wise is either not wise or not funny and vice versa.
Everyone who is ... | Fred is generous. | neutral | (((~tall(john)<~>~kind(john)))=>(?[X]:((~funny(X)|patient(X)))))&
(((strong(john)<~>~tall(john)))=>(?[X]:((~tall(X)<~>kind(X)))))&
(![X]:((~wise(X)<~>~old(X))<=>(strong(X)|old(X))))&
(![X]:(~wise(X)<=>(~wise(X)<~>~funny(X))))&
(![X]:((calm(X)|quiet(X))=>(wise(X)|~happy(X))))&
(((~calm(paul)&~brave(paul)))<=>(~calm(alic... | generous(fred) | [] | null | 0 |
If someone is either quiet or not creative then someone is not happy or brave and vice versa.
Everyone who is both not old and calm is both funny and not wise and vice versa.
If someone is either quiet or not tall then someone is not patient.
If someone is both quiet and generous then someone is both brave and not curi... | John is rich. | contradiction | ((?[X]:((quiet(X)<~>~creative(X))))<=>(?[X]:((~happy(X)|brave(X)))))&
(![X]:((~old(X)&calm(X))<=>(funny(X)&~wise(X))))&
((?[X]:((quiet(X)<~>~tall(X))))=>(?[X]:(~patient(X))))&
((?[X]:((quiet(X)&generous(X))))=>(?[X]:((brave(X)&~curious(X)))))&
(((humble(john)<~>~strong(john)))=>(?[X]:((creative(X)|tall(X)))))&
(![X]:((... | rich(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6252545790574084694681054
% SZS output start Proof for 6252545790574084694681054
15. (~quiet(paul) & quiet(paul)) <=> ? [X0] : rich(X0) [input p14]
24. rich(john) [input hypothesis]
71. ((~quiet(paul) & quiet(paul)) | ! [X0] : ~rich(X0)) & (? [X0] : rich(X0) | (quiet(paul) | ~quiet(paul))... | 0 |
If fred is either not kind or not quiet then john is either not strong or rich and vice versa.
If someone is both not calm and calm then someone is either not old or not happy.
If someone is humble then paul is both not patient and kind.
If mary is either patient or not curious then someone is both not humble and not c... | Paul is not old. | contradiction | (((~kind(fred)<~>~quiet(fred)))<=>((~strong(john)<~>rich(john))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(humble(X)))=>((~patient(paul)&kind(paul))))&
(((patient(mary)<~>~curious(mary)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(humble(mary)))&
(![X]:(~old... | ~old(paul) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 405648611407415303988184
% SZS output start Proof for 405648611407415303988184
6. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p5]
9. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p8]
23. ~old(paul) [input hypothesis]
43. ! [X0] : ((~old(X0) | (~wise(X0) | ~creative(X0))) & ((w... | 0 |
Everyone who is tall or patient is strong and vice versa. Everyone who is old or not rich is brave and vice versa. Everyone who is humble or not quiet is tall and vice versa. Everyone who is either not humble or not wise is either not wise or brave. Everyone who is both not kind and not calm is both curious and not fun... | Fred is not funny. | neutral | (![X]:((tall(X)|patient(X))<=>strong(X)))&
(![X]:((old(X)|~rich(X))<=>brave(X)))&
(![X]:((humble(X)|~quiet(X))<=>tall(X)))&
(![X]:((~humble(X)<~>~wise(X))=>(~wise(X)<~>brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>(curious(X)&~funny(X))))&
(((~calm(paul)<~>brave(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~curious(X)<~>~strong(X... | ~funny(fred) | [] | null | 0 |
If someone is both not patient and funny then john is not kind or not curious. If someone is both quiet and old then someone is both strong and not strong. Everyone who is not kind or patient is both not quiet and creative. If john is not strong then someone is either rich or not humble and vice versa. If someone is ei... | Mary is kind. | entailment | ((?[X]:((~patient(X)&funny(X))))=>((~kind(john)|~curious(john))))&
((?[X]:((quiet(X)&old(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)&creative(X))))&
((~strong(john))<=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((creative(X)<~>kind(X))))=>((patient(mary)&~old(mary))))&
(![X]:(wise(X)... | kind(mary) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1001025122923790519927075
% SZS output start Proof for 1001025122923790519927075
2. ? [X0] : (old(X0) & quiet(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p1]
3. ! [X0] : ((patient(X0) | ~kind(X0)) => (creative(X0) & ~quiet(X0))) [input p2]
5. ? [X0] : (creative(X0) <~> kind(X0)) =>... | 0 |
If mary is not creative then someone is either not brave or creative.
If lucy is not strong then john is both not happy and not generous.
If alice is both not wise and quiet then someone is both generous and rich and vice versa.
If someone is wise then someone is either not quiet or old and vice versa.
If someone is no... | Susan is strong. | neutral | ((~creative(mary))=>(?[X]:((~brave(X)<~>creative(X)))))&
((~strong(lucy))=>((~happy(john)&~generous(john))))&
(((~wise(alice)&quiet(alice)))<=>(?[X]:((generous(X)&rich(X)))))&
((?[X]:(wise(X)))<=>(?[X]:((~quiet(X)<~>old(X)))))&
((?[X]:((~quiet(X)|kind(X))))<=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((old(X)<~>creative(X... | strong(susan) | [] | null | 0 |
If fred is either old or not happy then someone is old. Everyone who is funny or not old is not curious. Everyone who is both patient and calm is old or not old. If someone is not quiet then someone is curious and vice versa. Everyone who is either not creative or not tall is both strong and generous and vice versa. Ev... | Lucy is funny. | entailment | (((old(fred)<~>~happy(fred)))=>(?[X]:(old(X))))&
(![X]:((funny(X)|~old(X))=>~curious(X)))&
(![X]:((patient(X)&calm(X))=>(old(X)|~old(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(curious(X))))&
(![X]:((~creative(X)<~>~tall(X))<=>(strong(X)&generous(X))))&
(![X]:((~generous(X)|~funny(X))<=>funny(X)))&
(![X]:(~kind(X)<=>curious(X)... | funny(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8415299554870528065932730
% SZS output start Proof for 8415299554870528065932730
6. ! [X0] : ((~funny(X0) | ~generous(X0)) <=> funny(X0)) [input p5]
25. ~funny(lucy) [input hypothesis]
51. ! [X0] : (((~funny(X0) | ~generous(X0)) | ~funny(X0)) & (funny(X0) | (funny(X0) & generous(X0)))) [n... | 0 |
If mary is both calm and curious then someone is either not curious or patient. Everyone who is both tall and humble is both creative and not brave and vice versa. If fred is both not curious and not funny then mary is both funny and not funny and vice versa. Everyone who is either not tall or funny is not tall or old ... | Paul is kind. | contradiction | (((calm(mary)&curious(mary)))=>(?[X]:((~curious(X)<~>patient(X)))))&
(![X]:((tall(X)&humble(X))<=>(creative(X)&~brave(X))))&
(((~curious(fred)&~funny(fred)))<=>((funny(mary)&~funny(mary))))&
(![X]:((~tall(X)<~>funny(X))<=>(~tall(X)|old(X))))&
(![X]:((funny(X)|~tall(X))=>~kind(X)))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X... | kind(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2765369046365604477527302
% SZS output start Proof for 2765369046365604477527302
7. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p6]
25. kind(paul) [input hypothesis]
50. ! [X0] : (((quiet(X0) & ~kind(X0)) | (~kind(X0) & generous(X0))) & ((kind(X0) | ~generous(... | 0 |
Everyone who is both not generous and not strong is generous and vice versa.
If john is both not curious and not quiet then alice is either not old or not tall.
Everyone who is old or brave is both happy and creative and vice versa.
Everyone who is not humble or not creative is both not happy and wise and vice versa.
I... | Susan is not generous. | entailment | (![X]:((~generous(X)&~strong(X))<=>generous(X)))&
(((~curious(john)&~quiet(john)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((old(X)|brave(X))<=>(happy(X)&creative(X))))&
(![X]:((~humble(X)|~creative(X))<=>(~happy(X)&wise(X))))&
(((strong(mary)&~old(mary)))=>(?[X]:((humble(X)<~>~brave(X)))))&
(![X]:((curious(X)&~happy(X... | ~generous(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4889116141437331923752296
% SZS output start Proof for 4889116141437331923752296
1. ! [X0] : ((~strong(X0) & ~generous(X0)) <=> generous(X0)) [input p0]
24. generous(susan) [input hypothesis]
35. ! [X0] : (((~strong(X0) & ~generous(X0)) | ~generous(X0)) & (generous(X0) | (strong(X0) | gen... | 0 |
If lucy is calm then john is either rich or not old.
If susan is either wise or patient then someone is happy and vice versa.
Everyone who is not funny is not patient and vice versa.
Everyone who is not wise is either not generous or generous.
If someone is both quiet and not funny then someone is either not curious or... | Lucy is kind. | contradiction | ((calm(lucy))=>((rich(john)<~>~old(john))))&
(((wise(susan)<~>patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:(~funny(X)<=>~patient(X)))&
(![X]:(~wise(X)=>(~generous(X)<~>generous(X))))&
((?[X]:((quiet(X)&~funny(X))))<=>(?[X]:((~curious(X)<~>~calm(X)))))&
((?[X]:((brave(X)|~funny(X))))=>(?[X]:((~kind(X)&strong(X)))))&
(((... | kind(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9214259519204273905831276
% SZS output start Proof for 9214259519204273905831276
10. ! [X0] : ((kind(X0) <~> ~rich(X0)) <=> ~rich(X0)) [input p9]
24. kind(lucy) [input hypothesis]
56. ! [X0] : ((((rich(X0) | ~kind(X0)) & (~rich(X0) | kind(X0))) | rich(X0)) & (~rich(X0) | ((kind(X0) | rich... | 0 |
Everyone who is both not curious and happy is curious and vice versa.
If someone is either curious or not calm then paul is not wise and vice versa.
If someone is both not strong and not happy then john is either not rich or wise.
If someone is either not rich or not tall then mary is both curious and rich and vice ver... | John is not wise. | entailment | (![X]:((~curious(X)&happy(X))<=>curious(X)))&
((?[X]:((curious(X)<~>~calm(X))))<=>(~wise(paul)))&
((?[X]:((~strong(X)&~happy(X))))=>((~rich(john)<~>wise(john))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((curious(mary)&rich(mary))))&
(![X]:((old(X)<~>~rich(X))<=>(~rich(X)<~>patient(X))))&
(![X]:((~rich(X)|~humble(X))<=>(~hum... | ~wise(john) | [
"p0",
"p2",
"p3",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6272704200197326842371015
% SZS output start Proof for 6272704200197326842371015
1. ! [X0] : ((happy(X0) & ~curious(X0)) <=> curious(X0)) [input p0]
3. ? [X0] : (~happy(X0) & ~strong(X0)) => (~rich(john) <~> wise(john)) [input p2]
4. ? [X0] : (~rich(X0) <~> ~tall(X0)) <=> (rich(mary) & cu... | 0 |
If fred is either not kind or not quiet then john is either not strong or rich and vice versa.
If someone is both not calm and calm then someone is either not old or not happy.
If someone is humble then paul is both not patient and kind.
If mary is either patient or not curious then someone is both not humble and not c... | Paul is generous. | entailment | (((~kind(fred)<~>~quiet(fred)))<=>((~strong(john)<~>rich(john))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(humble(X)))=>((~patient(paul)&kind(paul))))&
(((patient(mary)<~>~curious(mary)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(humble(mary)))&
(![X]:(~old... | generous(paul) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8510045280617237702876560
% SZS output start Proof for 8510045280617237702876560
3. ? [X0] : humble(X0) => (kind(paul) & ~patient(paul)) [input p2]
5. ? [X0] : (wise(X0) | ~generous(X0)) => humble(mary) [input p4]
6. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p5]
7. ! [X0] :... | 0 |
Everyone who is either calm or not patient is both wise and humble and vice versa. If someone is both generous and not old then someone is both not happy and not kind and vice versa. If john is brave or not funny then someone is both not creative and not funny. If susan is happy or quiet then john is not happy or patie... | John is not patient. | entailment | (![X]:((calm(X)<~>~patient(X))<=>(wise(X)&humble(X))))&
((?[X]:((generous(X)&~old(X))))<=>(?[X]:((~happy(X)&~kind(X)))))&
(((brave(john)|~funny(john)))=>(?[X]:((~creative(X)&~funny(X)))))&
(((happy(susan)|quiet(susan)))<=>((~happy(john)|patient(john))))&
(![X]:((strong(X)<~>~kind(X))=>happy(X)))&
(![X]:((happy(X)|~curi... | ~patient(john) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8037164481598794706378790
% SZS output start Proof for 8037164481598794706378790
8. ! [X0] : ((curious(X0) | wise(X0)) <=> (~patient(X0) & rich(X0))) [input p7]
21. tall(john) & wise(john) [input p20]
25. patient(john) [input hypothesis]
53. ! [X0] : (((curious(X0) | wise(X0)) | (patient(... | 0 |
Everyone who is wise is generous.
Everyone who is not creative or not calm is not strong or not creative.
Everyone who is both not rich and not happy is not strong or not quiet.
Everyone who is humble is not wise and vice versa.
Everyone who is not tall or not patient is tall.
If someone is not creative then john is ei... | John is not creative. | neutral | (![X]:(wise(X)=>generous(X)))&
(![X]:((~creative(X)|~calm(X))=>(~strong(X)|~creative(X))))&
(![X]:((~rich(X)&~happy(X))=>(~strong(X)|~quiet(X))))&
(![X]:(humble(X)<=>~wise(X)))&
(![X]:((~tall(X)|~patient(X))=>tall(X)))&
((?[X]:(~creative(X)))=>((~strong(john)<~>~quiet(john))))&
(![X]:((~humble(X)|wise(X))<=>(kind(X)&ca... | ~creative(john) | [] | null | 0 |
Everyone who is either not rich or not patient is not kind or funny and vice versa. If susan is not curious or tall then fred is both strong and not happy. Everyone who is not funny or not generous is either not patient or not funny. Everyone who is both calm and not quiet is both tall and generous. Everyone who is hum... | Fred is kind. | entailment | (![X]:((~rich(X)<~>~patient(X))<=>(~kind(X)|funny(X))))&
(((~curious(susan)|tall(susan)))=>((strong(fred)&~happy(fred))))&
(![X]:((~funny(X)|~generous(X))=>(~patient(X)<~>~funny(X))))&
(![X]:((calm(X)&~quiet(X))=>(tall(X)&generous(X))))&
(![X]:((humble(X)|~humble(X))=>(kind(X)|rich(X))))&
(![X]:(generous(X)<=>(~generou... | kind(fred) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6617865315082474688740170
% SZS output start Proof for 6617865315082474688740170
1. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (funny(X0) | ~kind(X0))) [input p0]
3. ! [X0] : ((~generous(X0) | ~funny(X0)) => (~patient(X0) <~> ~funny(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | humble(X0))... | 0 |
Everyone who is kind is humble or happy.
Everyone who is either not patient or not wise is calm or tall and vice versa.
Everyone who is not calm or not patient is funny or tall.
If alice is funny or strong then someone is not curious and vice versa.
If susan is funny then paul is either tall or curious and vice versa.
... | Lucy is not old. | neutral | (![X]:(kind(X)=>(humble(X)|happy(X))))&
(![X]:((~patient(X)<~>~wise(X))<=>(calm(X)|tall(X))))&
(![X]:((~calm(X)|~patient(X))=>(funny(X)|tall(X))))&
(((funny(alice)|strong(alice)))<=>(?[X]:(~curious(X))))&
((funny(susan))<=>((tall(paul)<~>curious(paul))))&
(((~patient(mary)|~brave(mary)))<=>((~wise(alice)|tall(alice))))... | ~old(lucy) | [] | null | 0 |
Everyone who is not humble is wise.
If mary is both calm and not brave then john is not creative and vice versa.
Everyone who is old or strong is both funny and not quiet and vice versa.
If someone is both strong and not creative then alice is either not tall or patient and vice versa.
Everyone who is either not strong... | Alice is not brave. | entailment | (![X]:(~humble(X)=>wise(X)))&
(((calm(mary)&~brave(mary)))<=>(~creative(john)))&
(![X]:((old(X)|strong(X))<=>(funny(X)&~quiet(X))))&
((?[X]:((strong(X)&~creative(X))))<=>((~tall(alice)<~>patient(alice))))&
(![X]:((~strong(X)<~>old(X))=>(strong(X)|quiet(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~calm(X)&patient(X))))&
(... | ~brave(alice) | [
"p2",
"p6",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3705236092035204531343345
% SZS output start Proof for 3705236092035204531343345
3. ! [X0] : ((strong(X0) | old(X0)) <=> (~quiet(X0) & funny(X0))) [input p2]
7. ! [X0] : (old(X0) => (patient(X0) & ~brave(X0))) [input p6]
8. ! [X0] : ((~old(X0) | ~rich(X0)) <=> quiet(X0)) [input p7]
18. ol... | 0 |
Everyone who is not brave is both not patient and not kind and vice versa. If someone is not humble or wise then someone is both not patient and not brave. Everyone who is not humble or not kind is both generous and rich and vice versa. If paul is both not old and not kind then someone is either not creative or not hum... | Paul is tall. | contradiction | (![X]:(~brave(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((~humble(X)|wise(X))))=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:((~humble(X)|~kind(X))<=>(generous(X)&rich(X))))&
(((~old(paul)&~kind(paul)))<=>(?[X]:((~creative(X)<~>~humble(X)))))&
((?[X]:((old(X)<~>kind(X))))=>(?[X]:(quiet(X))))&
(![X]:((patient(X)&creative(X))=>... | tall(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p10",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 290727911969155165494229
% SZS output start Proof for 290727911969155165494229
1. ! [X0] : (~brave(X0) <=> (~kind(X0) & ~patient(X0))) [input p0]
2. ? [X0] : (wise(X0) | ~humble(X0)) => ? [X0] : (~brave(X0) & ~patient(X0)) [input p1]
3. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> (rich(X0) & ... | 0 |
Everyone who is both brave and old is both not quiet and generous and vice versa.
Everyone who is brave or calm is either not calm or not old.
If fred is either not happy or kind then someone is not rich or patient.
Everyone who is both humble and happy is curious.
Everyone who is either generous or funny is both not t... | Lucy is not quiet. | entailment | (![X]:((brave(X)&old(X))<=>(~quiet(X)&generous(X))))&
(![X]:((brave(X)|calm(X))=>(~calm(X)<~>~old(X))))&
(((~happy(fred)<~>kind(fred)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((humble(X)&happy(X))=>curious(X)))&
(![X]:((generous(X)<~>funny(X))=>(~tall(X)&~patient(X))))&
((?[X]:((~rich(X)&~tall(X))))=>(tall(mary)))&
(!... | ~quiet(lucy) | [
"p0",
"p6",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4251645920768553432728266
% SZS output start Proof for 4251645920768553432728266
1. ! [X0] : ((old(X0) & brave(X0)) <=> (generous(X0) & ~quiet(X0))) [input p0]
7. ! [X0] : (~strong(X0) <=> (quiet(X0) <~> ~old(X0))) [input p6]
14. ! [X0] : ((old(X0) | ~wise(X0)) <=> (strong(X0) <~> brave(X... | 0 |
Everyone who is rich or kind is either strong or not rich and vice versa. Everyone who is either not strong or creative is both creative and humble. Everyone who is both not wise and rich is generous or rich. If alice is both old and not patient then someone is either brave or creative and vice versa. Everyone who is p... | Lucy is not funny. | contradiction | (![X]:((rich(X)|kind(X))<=>(strong(X)<~>~rich(X))))&
(![X]:((~strong(X)<~>creative(X))=>(creative(X)&humble(X))))&
(![X]:((~wise(X)&rich(X))=>(generous(X)|rich(X))))&
(((old(alice)&~patient(alice)))<=>(?[X]:((brave(X)<~>creative(X)))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~old(X)|~happy(X))<=>(~brave(X)|~funny(X)))... | ~funny(lucy) | [
"p0",
"p5",
"p6",
"p7",
"p9",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 538889204926624087491613
% SZS output start Proof for 538889204926624087491613
1. ! [X0] : ((kind(X0) | rich(X0)) <=> (strong(X0) <~> ~rich(X0))) [input p0]
6. ! [X0] : ((~happy(X0) | ~old(X0)) <=> (~funny(X0) | ~brave(X0))) [input p5]
7. ! [X0] : ((old(X0) <~> humble(X0)) <=> (~patient(X... | 0 |
If someone is either not old or not generous then lucy is both old and not old and vice versa.
Everyone who is not wise is calm and vice versa.
If alice is both not old and patient then fred is both not strong and curious and vice versa.
Everyone who is either patient or creative is creative or patient and vice versa.
... | Fred is not strong. | neutral | ((?[X]:((~old(X)<~>~generous(X))))<=>((old(lucy)&~old(lucy))))&
(![X]:(~wise(X)<=>calm(X)))&
(((~old(alice)&patient(alice)))<=>((~strong(fred)&curious(fred))))&
(![X]:((patient(X)<~>creative(X))<=>(creative(X)|patient(X))))&
(![X]:((~patient(X)|kind(X))=>humble(X)))&
(![X]:(~patient(X)<=>humble(X)))&
(![X]:(~curious(X)... | ~strong(fred) | [] | null | 0 |
If someone is not old or not curious then someone is happy or not tall and vice versa. Everyone who is not happy is either brave or not generous and vice versa. If someone is not strong then someone is not wise or not creative and vice versa. If someone is not creative or not quiet then lucy is both patient and not hap... | Fred is creative. | entailment | ((?[X]:((~old(X)|~curious(X))))<=>(?[X]:((happy(X)|~tall(X)))))&
(![X]:(~happy(X)<=>(brave(X)<~>~generous(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~wise(X)|~creative(X)))))&
((?[X]:((~creative(X)|~quiet(X))))=>((patient(lucy)&~happy(lucy))))&
((?[X]:(brave(X)))=>(curious(john)))&
((?[X]:((~kind(X)|~strong(X))))<=>(?[X]:((... | creative(fred) | [
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1138436683914710983215049
% SZS output start Proof for 1138436683914710983215049
8. ! [X0] : ((~patient(X0) | curious(X0)) <=> (tall(X0) & ~brave(X0))) [input p7]
13. ! [X0] : ((patient(X0) | ~calm(X0)) => tall(X0)) [input p12]
14. ! [X0] : ((~creative(X0) & tall(X0)) <=> (~old(X0) & ~pat... | 0 |
If someone is tall then someone is both not humble and wise and vice versa.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someone is both creative and curious.
Everyone who is both not funny and creat... | Mary is not creative. | contradiction | ((?[X]:(tall(X)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X]:((~strong(X)&~old(X))))<=>((happy(paul)<~>~strong(pau... | ~creative(mary) | [
"p1",
"p2",
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8903196152575951792174185
% SZS output start Proof for 8903196152575951792174185
2. ! [X0] : ((funny(X0) <~> ~patient(X0)) => (creative(X0) | quiet(X0))) [input p1]
3. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~curious(X0)) [input p4]
10. ... | 0 |
Everyone who is strong is either happy or not humble and vice versa.
If lucy is not tall then someone is both not curious and kind and vice versa.
Everyone who is both wise and not funny is curious or happy and vice versa.
Everyone who is either kind or not generous is patient or not generous.
Everyone who is not curio... | Paul is not brave. | entailment | (![X]:(strong(X)<=>(happy(X)<~>~humble(X))))&
((~tall(lucy))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((wise(X)&~funny(X))<=>(curious(X)|happy(X))))&
(![X]:((kind(X)<~>~generous(X))=>(patient(X)|~generous(X))))&
(![X]:((~curious(X)|kind(X))<=>~creative(X)))&
(![X]:(~funny(X)=>(strong(X)<~>~old(X))))&
(((~creative(fred)... | ~brave(paul) | [
"p2",
"p4",
"p11",
"p12",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4477656005621022877924807
% SZS output start Proof for 4477656005621022877924807
3. ! [X0] : ((~funny(X0) & wise(X0)) <=> (happy(X0) | curious(X0))) [input p2]
5. ! [X0] : ((kind(X0) | ~curious(X0)) <=> ~creative(X0)) [input p4]
12. ! [X0] : ((kind(X0) | wise(X0)) => (happy(X0) & wise(X0)... | 0 |
Everyone who is humble is not creative or calm and vice versa. Everyone who is either not happy or not rich is not happy or not generous and vice versa. Everyone who is either not funny or patient is not quiet or not rich. Everyone who is both generous and strong is curious and vice versa. Everyone who is not calm or n... | Susan is not creative. | neutral | (![X]:(humble(X)<=>(~creative(X)|calm(X))))&
(![X]:((~happy(X)<~>~rich(X))<=>(~happy(X)|~generous(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~quiet(X)|~rich(X))))&
(![X]:((generous(X)&strong(X))<=>curious(X)))&
(![X]:((~calm(X)|~funny(X))=>(~quiet(X)&~wise(X))))&
((~humble(paul))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(... | ~creative(susan) | [] | null | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Fred is not tall. | entailment | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | ~tall(fred) | [
"p2",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7173859167540293221831308
% SZS output start Proof for 7173859167540293221831308
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0))) [input p2]
10. ! [X0] : (~rich(X0) => ~tall(X0)) [input p9]
13. ! [X0] : ((patient(X0) | creative(X0)) <=> ~rich(X0)) [input p12]
17. funny(fred) [inpu... | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | Alice is rich. | contradiction | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | rich(alice) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6055605000279287613265691
% SZS output start Proof for 6055605000279287613265691
2. ! [X0] : ((humble(X0) & rich(X0)) => (funny(X0) <~> brave(X0))) [input p1]
6. ? [X0] : ~calm(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [inpu... | 0 |
Everyone who is strong is not rich or curious.
If someone is not brave then lucy is funny or creative.
Everyone who is either patient or not tall is not tall or not funny.
Everyone who is both generous and not rich is either not happy or not quiet.
Everyone who is either not creative or patient is not rich.
If mary is ... | Mary is not tall. | neutral | (![X]:(strong(X)=>(~rich(X)|curious(X))))&
((?[X]:(~brave(X)))=>((funny(lucy)|creative(lucy))))&
(![X]:((patient(X)<~>~tall(X))=>(~tall(X)|~funny(X))))&
(![X]:((generous(X)&~rich(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:((~creative(X)<~>patient(X))=>~rich(X)))&
((~creative(mary))<=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:... | ~tall(mary) | [] | null | 0 |
If lucy is both not patient and wise then someone is not strong and vice versa. Everyone who is not calm is kind. If someone is either quiet or brave then alice is quiet or not rich and vice versa. Everyone who is not strong is not rich. Everyone who is curious is quiet. Everyone who is not creative is either curious o... | Lucy is not rich. | entailment | (((~patient(lucy)&wise(lucy)))<=>(?[X]:(~strong(X))))&
(![X]:(~calm(X)=>kind(X)))&
((?[X]:((quiet(X)<~>brave(X))))<=>((quiet(alice)|~rich(alice))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~creative(X)<=>(curious(X)<~>quiet(X))))&
(![X]:(happy(X)<=>(strong(X)&generous(X))))&
((?[X]:((curiou... | ~rich(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8414999642488057605880466
% SZS output start Proof for 8414999642488057605880466
15. ! [X0] : ((kind(X0) | rich(X0)) => (calm(X0) & ~rich(X0))) [input p14]
21. rich(lucy) [input hypothesis]
33. ! [X0] : ((calm(X0) & ~rich(X0)) | (~kind(X0) & ~rich(X0))) [ennf transformation 15]
103. ~rich... | 0 |
If mary is either humble or funny then mary is strong or not kind and vice versa.
Everyone who is not wise or funny is either not brave or not humble.
Everyone who is not calm or not quiet is either not generous or not humble and vice versa.
If fred is old then someone is not patient.
Everyone who is not humble is not ... | Fred is old. | neutral | (((humble(mary)<~>funny(mary)))<=>((strong(mary)|~kind(mary))))&
(![X]:((~wise(X)|funny(X))=>(~brave(X)<~>~humble(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~generous(X)<~>~humble(X))))&
((old(fred))=>(?[X]:(~patient(X))))&
(![X]:(~humble(X)<=>~curious(X)))&
((?[X]:((~old(X)|strong(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~old(X... | old(fred) | [] | null | 0 |
Everyone who is old or not patient is both rich and not creative and vice versa. Everyone who is both humble and not kind is not wise or not rich. Everyone who is not tall is not happy. If john is both not quiet and not wise then someone is both not strong and not brave and vice versa. Everyone who is either patient or... | John is not strong. | neutral | (![X]:((old(X)|~patient(X))<=>(rich(X)&~creative(X))))&
(![X]:((humble(X)&~kind(X))=>(~wise(X)|~rich(X))))&
(![X]:(~tall(X)=>~happy(X)))&
(((~quiet(john)&~wise(john)))<=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((patient(X)<~>creative(X))<=>(humble(X)<~>tall(X))))&
(![X]:((tall(X)|~generous(X))=>generous(X)))&
((?[X]:(o... | ~strong(john) | [] | null | 0 |
If someone is humble or curious then john is either calm or creative and vice versa.
If someone is either not strong or tall then someone is rich or happy.
Everyone who is not tall is generous.
If mary is humble then susan is quiet or calm and vice versa.
Everyone who is either not curious or quiet is either happy or t... | Paul is strong. | contradiction | ((?[X]:((humble(X)|curious(X))))<=>((calm(john)<~>creative(john))))&
((?[X]:((~strong(X)<~>tall(X))))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:(~tall(X)=>generous(X)))&
((humble(mary))<=>((quiet(susan)|calm(susan))))&
(![X]:((~curious(X)<~>quiet(X))<=>(happy(X)<~>tall(X))))&
(![X]:((funny(X)&rich(X))=>(kind(X)|old(X))))&
(... | strong(paul) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 862497219523727250296164
% SZS output start Proof for 862497219523727250296164
3. ! [X0] : (~tall(X0) => generous(X0)) [input p2]
5. ! [X0] : ((~curious(X0) <~> quiet(X0)) <=> (happy(X0) <~> tall(X0))) [input p4]
7. ? [X0] : ~quiet(X0) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p6]
9. !... | 0 |
If someone is either not kind or not curious then someone is not brave. If someone is calm or strong then someone is either not strong or creative. If someone is not rich or tall then someone is both not patient and curious and vice versa. Everyone who is both not strong and not curious is both calm and not humble and ... | Paul is funny. | entailment | ((?[X]:((~kind(X)<~>~curious(X))))=>(?[X]:(~brave(X))))&
((?[X]:((calm(X)|strong(X))))=>(?[X]:((~strong(X)<~>creative(X)))))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:((~strong(X)&~curious(X))<=>(calm(X)&~humble(X))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~happy(X)&~wise(X))))&
((?[X]:((... | funny(paul) | [
"p3",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 887307507193392742360220
% SZS output start Proof for 887307507193392742360220
4. ! [X0] : ((~curious(X0) & ~strong(X0)) <=> (~humble(X0) & calm(X0))) [input p3]
6. ? [X0] : (calm(X0) & strong(X0)) <=> ? [X0] : ~wise(X0) [input p5]
11. ~happy(alice) <=> (~happy(fred) <~> ~humble(fred)) [i... | 0 |
Everyone who is not funny is curious and vice versa.
If paul is generous then mary is quiet.
If paul is both not funny and not strong then fred is both not humble and humble and vice versa.
Everyone who is quiet or not curious is not creative.
If someone is either funny or not tall then alice is calm.
If fred is not ki... | Susan is funny. | neutral | (![X]:(~funny(X)<=>curious(X)))&
((generous(paul))=>(quiet(mary)))&
(((~funny(paul)&~strong(paul)))<=>((~humble(fred)&humble(fred))))&
(![X]:((quiet(X)|~curious(X))=>~creative(X)))&
((?[X]:((funny(X)<~>~tall(X))))=>(calm(alice)))&
((~kind(fred))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:((happy(X)<~>~strong(X))<=>(~rich(... | funny(susan) | [] | null | 0 |
If someone is funny or curious then someone is either not rich or old.
If fred is both funny and creative then alice is not rich.
If someone is curious then someone is not creative.
Everyone who is not strong is either not kind or calm and vice versa.
If fred is not strong or not quiet then mary is not funny or tall an... | Susan is calm. | entailment | ((?[X]:((funny(X)|curious(X))))=>(?[X]:((~rich(X)<~>old(X)))))&
(((funny(fred)&creative(fred)))=>(~rich(alice)))&
((?[X]:(curious(X)))=>(?[X]:(~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)<~>calm(X))))&
(((~strong(fred)|~quiet(fred)))<=>((~funny(mary)|tall(mary))))&
(![X]:((curious(X)&~patient(X))<=>(~old(X)<~>strong(... | calm(susan) | [
"p2",
"p3",
"p5",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8940151499415756980935984
% SZS output start Proof for 8940151499415756980935984
3. ? [X0] : curious(X0) => ? [X0] : ~creative(X0) [input p2]
4. ! [X0] : (~strong(X0) <=> (~kind(X0) <~> calm(X0))) [input p3]
6. ! [X0] : ((~patient(X0) & curious(X0)) <=> (~old(X0) <~> strong(X0))) [input p... | 0 |
If someone is either generous or patient then john is wise or not quiet and vice versa.
Everyone who is both funny and strong is generous.
If someone is both wise and not creative then someone is either funny or not patient and vice versa.
Everyone who is not creative or funny is creative or tall and vice versa.
Everyo... | Lucy is wise. | entailment | ((?[X]:((generous(X)<~>patient(X))))<=>((wise(john)|~quiet(john))))&
(![X]:((funny(X)&strong(X))=>generous(X)))&
((?[X]:((wise(X)&~creative(X))))<=>(?[X]:((funny(X)<~>~patient(X)))))&
(![X]:((~creative(X)|funny(X))<=>(creative(X)|tall(X))))&
(![X]:((old(X)<~>calm(X))=>(~wise(X)&~calm(X))))&
(![X]:((curious(X)<~>patient... | wise(lucy) | [
"p3",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1737270139010067004214863
% SZS output start Proof for 1737270139010067004214863
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (tall(X0) | creative(X0))) [input p3]
7. ! [X0] : ((~wise(X0) | funny(X0)) => ~creative(X0)) [input p6]
9. ! [X0] : (~creative(X0) <=> (funny(X0) <~> ~creative(X0)... | 0 |
Everyone who is not wise or tall is both not rich and not humble and vice versa. Everyone who is either not strong or generous is both funny and brave. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is eith... | John is not patient. | neutral | (![X]:((~wise(X)|tall(X))<=>(~rich(X)&~humble(X))))&
(![X]:((~strong(X)<~>generous(X))=>(funny(X)&brave(X))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]... | ~patient(john) | [] | null | 0 |
Everyone who is both not creative and funny is curious. Everyone who is kind or happy is patient or wise and vice versa. Everyone who is both calm and not wise is both humble and not generous and vice versa. If someone is either old or not strong then someone is either quiet or not brave. If someone is tall then someon... | Lucy is brave. | neutral | (![X]:((~creative(X)&funny(X))=>curious(X)))&
(![X]:((kind(X)|happy(X))<=>(patient(X)|wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(humble(X)&~generous(X))))&
((?[X]:((old(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((rich(X)|~happy(X)))))&
(![X]:(~strong(X)<=>(kind(X)&~kind(X))))&
(![X]:... | brave(lucy) | [] | null | 0 |
Everyone who is both brave and not happy is either generous or humble.
If someone is old then mary is not funny or not happy.
Everyone who is either creative or brave is either rich or not funny.
If lucy is either not old or not rich then someone is not old or not patient.
Everyone who is either quiet or creative is br... | Susan is not tall. | neutral | (![X]:((brave(X)&~happy(X))=>(generous(X)<~>humble(X))))&
((?[X]:(old(X)))=>((~funny(mary)|~happy(mary))))&
(![X]:((creative(X)<~>brave(X))=>(rich(X)<~>~funny(X))))&
(((~old(lucy)<~>~rich(lucy)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((quiet(X)<~>creative(X))=>(brave(X)|~strong(X))))&
(![X]:((~kind(X)&generous(X))<=>... | ~tall(susan) | [] | null | 0 |
Everyone who is not calm is both not wise and funny. If someone is not old or not kind then lucy is both wise and rich. Everyone who is both not brave and strong is both kind and rich. Everyone who is not happy or not rich is either strong or not calm. Everyone who is tall is either not creative or calm and vice versa.... | Lucy is happy. | contradiction | (![X]:(~calm(X)=>(~wise(X)&funny(X))))&
((?[X]:((~old(X)|~kind(X))))=>((wise(lucy)&rich(lucy))))&
(![X]:((~brave(X)&strong(X))=>(kind(X)&rich(X))))&
(![X]:((~happy(X)|~rich(X))=>(strong(X)<~>~calm(X))))&
(![X]:(tall(X)<=>(~creative(X)<~>calm(X))))&
((?[X]:((~tall(X)<~>quiet(X))))<=>((quiet(susan)<~>humble(susan))))&
(!... | happy(lucy) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5346414501845987839700561
% SZS output start Proof for 5346414501845987839700561
7. ! [X0] : ((curious(X0) <~> happy(X0)) <=> happy(X0)) [input p6]
8. ! [X0] : ((happy(X0) | ~humble(X0)) <=> (~quiet(X0) & curious(X0))) [input p7]
24. happy(lucy) [input hypothesis]
43. ! [X0] : ((((~happy(... | 0 |
Everyone who is either not generous or rich is patient or funny and vice versa.
If paul is old then alice is tall.
Everyone who is either not quiet or happy is either not humble or not rich.
Everyone who is patient is either not patient or curious and vice versa.
Everyone who is humble is not generous or funny.
Everyon... | Mary is not creative. | contradiction | (![X]:((~generous(X)<~>rich(X))<=>(patient(X)|funny(X))))&
((old(paul))=>(tall(alice)))&
(![X]:((~quiet(X)<~>happy(X))=>(~humble(X)<~>~rich(X))))&
(![X]:(patient(X)<=>(~patient(X)<~>curious(X))))&
(![X]:(humble(X)=>(~generous(X)|funny(X))))&
(![X]:((~humble(X)|~creative(X))=>(old(X)|~strong(X))))&
(![X]:((~quiet(X)|~cu... | ~creative(mary) | [
"p0",
"p3",
"p4",
"p6",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 151503058624748476783621
% SZS output start Proof for 151503058624748476783621
1. ! [X0] : ((~generous(X0) <~> rich(X0)) <=> (funny(X0) | patient(X0))) [input p0]
4. ! [X0] : (patient(X0) <=> (~patient(X0) <~> curious(X0))) [input p3]
5. ! [X0] : (humble(X0) => (funny(X0) | ~generous(X0))... | 0 |
If someone is both strong and not quiet then someone is both rich and humble. If paul is both curious and wise then fred is either not humble or not curious. Everyone who is not wise or not brave is either quiet or not curious. Everyone who is not humble is not happy or not brave. If someone is both not patient and hap... | Fred is not tall. | neutral | ((?[X]:((strong(X)&~quiet(X))))=>(?[X]:((rich(X)&humble(X)))))&
(((curious(paul)&wise(paul)))=>((~humble(fred)<~>~curious(fred))))&
(![X]:((~wise(X)|~brave(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(~humble(X)=>(~happy(X)|~brave(X))))&
((?[X]:((~patient(X)&happy(X))))<=>((~strong(susan)<~>tall(susan))))&
(![X]:(~patient(X... | ~tall(fred) | [] | null | 0 |
Everyone who is either not patient or not quiet is both patient and not kind.
Everyone who is tall or humble is both wise and not calm.
If alice is brave or patient then mary is not strong or calm.
If someone is not old then susan is both not wise and curious and vice versa.
Everyone who is both not happy and patient i... | John is creative. | contradiction | (![X]:((~patient(X)<~>~quiet(X))=>(patient(X)&~kind(X))))&
(![X]:((tall(X)|humble(X))=>(wise(X)&~calm(X))))&
(((brave(alice)|patient(alice)))=>((~strong(mary)|calm(mary))))&
((?[X]:(~old(X)))<=>((~wise(susan)&curious(susan))))&
(![X]:((~happy(X)&patient(X))=>(~wise(X)&~curious(X))))&
((generous(paul))<=>((~creative(pau... | creative(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 477764422995587391357967
% SZS output start Proof for 477764422995587391357967
9. ! [X0] : ((brave(X0) | creative(X0)) <=> (~old(X0) & old(X0))) [input p8]
24. creative(john) [input hypothesis]
51. ! [X0] : (((brave(X0) | creative(X0)) | (old(X0) | ~old(X0))) & ((~old(X0) & old(X0)) | (~b... | 0 |
If john is patient then paul is old or brave.
Everyone who is creative is both funny and not brave.
If mary is either not wise or kind then someone is both kind and wise and vice versa.
If alice is either not funny or tall then alice is not strong or not creative and vice versa.
Everyone who is not quiet or not strong ... | Alice is not curious. | contradiction | ((patient(john))=>((old(paul)|brave(paul))))&
(![X]:(creative(X)=>(funny(X)&~brave(X))))&
(((~wise(mary)<~>kind(mary)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~funny(alice)<~>tall(alice)))<=>((~strong(alice)|~creative(alice))))&
(![X]:((~quiet(X)|~strong(X))=>(~tall(X)<~>generous(X))))&
(((old(alice)&curious(alice)))<=>(?[X... | ~curious(alice) | [
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3734535027478790675938713
% SZS output start Proof for 3734535027478790675938713
6. (curious(alice) & old(alice)) <=> ? [X0] : ~happy(X0) [input p5]
7. ! [X0] : ((calm(X0) | patient(X0)) => ~happy(X0)) [input p6]
16. ! [X0] : (~calm(X0) <=> (~rich(X0) & calm(X0))) [input p15]
24. ~curious... | 0 |
If someone is kind then fred is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Fred is not quiet. | entailment | ((?[X]:(kind(X)))<=>((~quiet(fred)|humble(fred))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | ~quiet(fred) | [
"p0",
"p5",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3324342374092035745637121
% SZS output start Proof for 3324342374092035745637121
1. ? [X0] : kind(X0) <=> (humble(fred) | ~quiet(fred)) [input p0]
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
9. ! [X0] : (humble(X0) => (~curious(X0) <~> ~brave(X0))) [input p8]
... | 0 |
Everyone who is either not rich or humble is both not kind and not calm and vice versa.
If someone is either tall or generous then someone is either not humble or not creative and vice versa.
If lucy is not calm then someone is not strong or humble and vice versa.
Everyone who is not patient or not tall is not patient ... | Lucy is strong. | entailment | (![X]:((~rich(X)<~>humble(X))<=>(~kind(X)&~calm(X))))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:((~humble(X)<~>~creative(X)))))&
((~calm(lucy))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:((~patient(X)|~tall(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:((tall(X)|~creative(X))))<=>(?[X]:((~happy(X)&~wise(X)))))&
(![X]:((~funn... | strong(lucy) | [
"p2",
"p9",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8228848093433585011493597
% SZS output start Proof for 8228848093433585011493597
3. ~calm(lucy) <=> ? [X0] : (humble(X0) | ~strong(X0)) [input p2]
10. ! [X0] : ((patient(X0) <~> ~rich(X0)) => old(X0)) [input p9]
12. ! [X0] : ((humble(X0) | calm(X0)) <=> (~quiet(X0) | curious(X0))) [input ... | 0 |
Everyone who is either strong or not patient is either humble or kind.
Everyone who is creative or generous is not calm.
Everyone who is curious or strong is both not wise and not humble and vice versa.
If someone is both not generous and not humble then susan is not generous.
If paul is creative or wise then lucy is r... | Alice is not patient. | neutral | (![X]:((strong(X)<~>~patient(X))=>(humble(X)<~>kind(X))))&
(![X]:((creative(X)|generous(X))=>~calm(X)))&
(![X]:((curious(X)|strong(X))<=>(~wise(X)&~humble(X))))&
((?[X]:((~generous(X)&~humble(X))))=>(~generous(susan)))&
(((creative(paul)|wise(paul)))<=>((rich(lucy)|happy(lucy))))&
(![X]:((calm(X)&~quiet(X))=>(~rich(X)|... | ~patient(alice) | [] | null | 0 |
Everyone who is either curious or not humble is either curious or not patient and vice versa.
Everyone who is happy or not funny is both not happy and calm.
Everyone who is both calm and not brave is quiet or not humble.
If someone is not generous or not quiet then fred is humble.
If someone is patient then mary is eit... | John is brave. | neutral | (![X]:((curious(X)<~>~humble(X))<=>(curious(X)<~>~patient(X))))&
(![X]:((happy(X)|~funny(X))=>(~happy(X)&calm(X))))&
(![X]:((calm(X)&~brave(X))=>(quiet(X)|~humble(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>(humble(fred)))&
((?[X]:(patient(X)))<=>((~quiet(mary)<~>humble(mary))))&
(![X]:((~rich(X)&~creative(X))=>curious(... | brave(john) | [] | null | 0 |
Everyone who is both patient and happy is happy or wise and vice versa. If alice is tall or not rich then someone is either not brave or not wise and vice versa. If paul is both brave and tall then someone is both happy and not curious and vice versa. If susan is not old then fred is not wise or not old. Everyone who i... | Susan is not wise. | neutral | (![X]:((patient(X)&happy(X))<=>(happy(X)|wise(X))))&
(((tall(alice)|~rich(alice)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(((brave(paul)&tall(paul)))<=>(?[X]:((happy(X)&~curious(X)))))&
((~old(susan))=>((~wise(fred)|~old(fred))))&
(![X]:((humble(X)<~>rich(X))<=>~quiet(X)))&
((?[X]:((~rich(X)&brave(X))))=>(?[X]:((old(X)|ri... | ~wise(susan) | [] | null | 0 |
Everyone who is both strong and creative is both brave and not happy and vice versa. Everyone who is patient is both curious and calm. If someone is both not strong and not brave then alice is either not happy or calm. If fred is either rich or calm then mary is either not brave or calm. Everyone who is both curious an... | Mary is funny. | neutral | (![X]:((strong(X)&creative(X))<=>(brave(X)&~happy(X))))&
(![X]:(patient(X)=>(curious(X)&calm(X))))&
((?[X]:((~strong(X)&~brave(X))))=>((~happy(alice)<~>calm(alice))))&
(((rich(fred)<~>calm(fred)))=>((~brave(mary)<~>calm(mary))))&
(![X]:((curious(X)&creative(X))<=>~generous(X)))&
(![X]:((tall(X)&wise(X))=>(~happy(X)&~cr... | funny(mary) | [] | null | 0 |
Everyone who is not strong is generous or old and vice versa. Everyone who is curious is both not curious and not patient and vice versa. Everyone who is old is not kind or tall and vice versa. If someone is both rich and patient then fred is both not quiet and not brave. Everyone who is calm or brave is both not wise ... | Alice is generous. | entailment | (![X]:(~strong(X)<=>(generous(X)|old(X))))&
(![X]:(curious(X)<=>(~curious(X)&~patient(X))))&
(![X]:(old(X)<=>(~kind(X)|tall(X))))&
((?[X]:((rich(X)&patient(X))))=>((~quiet(fred)&~brave(fred))))&
(![X]:((calm(X)|brave(X))<=>(~wise(X)&brave(X))))&
(![X]:(generous(X)<=>(~rich(X)&old(X))))&
((?[X]:((funny(X)<~>~creative(X)... | generous(alice) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 549923194028979825151477
% SZS output start Proof for 549923194028979825151477
2. ! [X0] : (curious(X0) <=> (~patient(X0) & ~curious(X0))) [input p1]
5. ! [X0] : ((brave(X0) | calm(X0)) <=> (brave(X0) & ~wise(X0))) [input p4]
9. ! [X0] : ((generous(X0) | curious(X0)) <=> (~happy(X0) <~> c... | 0 |
If alice is quiet or brave then mary is tall or not generous and vice versa. Everyone who is both not happy and funny is both not kind and brave and vice versa. If john is both not curious and not patient then someone is both not calm and not strong and vice versa. If lucy is creative then someone is not curious or not... | Fred is kind. | neutral | (((quiet(alice)|brave(alice)))<=>((tall(mary)|~generous(mary))))&
(![X]:((~happy(X)&funny(X))<=>(~kind(X)&brave(X))))&
(((~curious(john)&~patient(john)))<=>(?[X]:((~calm(X)&~strong(X)))))&
((creative(lucy))<=>(?[X]:((~curious(X)|~generous(X)))))&
(![X]:((curious(X)&~brave(X))<=>(wise(X)&~happy(X))))&
((strong(fred))=>(... | kind(fred) | [] | null | 0 |
If fred is both curious and not strong then someone is curious and vice versa.
If someone is tall or not curious then alice is both quiet and not humble and vice versa.
Everyone who is both not calm and happy is either calm or not humble.
If someone is both kind and quiet then someone is both funny and tall.
Everyone w... | Lucy is not quiet. | neutral | (((curious(fred)&~strong(fred)))<=>(?[X]:(curious(X))))&
((?[X]:((tall(X)|~curious(X))))<=>((quiet(alice)&~humble(alice))))&
(![X]:((~calm(X)&happy(X))=>(calm(X)<~>~humble(X))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:((funny(X)&tall(X)))))&
(![X]:((~brave(X)<~>~quiet(X))<=>(~wise(X)&~funny(X))))&
((?[X]:((~kind(X)&kind(X... | ~quiet(lucy) | [] | null | 0 |
If john is both not funny and tall then susan is generous or not creative.
Everyone who is either not strong or quiet is quiet and vice versa.
Everyone who is wise or not kind is either humble or funny.
If someone is strong or old then someone is not tall and vice versa.
Everyone who is not generous or not funny is not... | John is strong. | entailment | (((~funny(john)&tall(john)))=>((generous(susan)|~creative(susan))))&
(![X]:((~strong(X)<~>quiet(X))<=>quiet(X)))&
(![X]:((wise(X)|~kind(X))=>(humble(X)<~>funny(X))))&
((?[X]:((strong(X)|old(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~generous(X)|~funny(X))<=>~brave(X)))&
((?[X]:(~funny(X)))<=>((~wise(mary)|~strong(mary))))&
(... | strong(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8293637433564012689359962
% SZS output start Proof for 8293637433564012689359962
2. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> quiet(X0)) [input p1]
25. ~strong(john) [input hypothesis]
36. ! [X0] : ((((~quiet(X0) | strong(X0)) & (quiet(X0) | ~strong(X0))) | ~quiet(X0)) & (quiet(X0) | ((~s... | 0 |
If someone is both not generous and quiet then lucy is both humble and not creative.
If lucy is either tall or rich then fred is kind or tall.
If lucy is not quiet then john is both not happy and not old.
If someone is happy then someone is both kind and not kind and vice versa.
If susan is both old and not creative th... | Mary is strong. | entailment | ((?[X]:((~generous(X)&quiet(X))))=>((humble(lucy)&~creative(lucy))))&
(((tall(lucy)<~>rich(lucy)))=>((kind(fred)|tall(fred))))&
((~quiet(lucy))=>((~happy(john)&~old(john))))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)&~kind(X)))))&
(((old(susan)&~creative(susan)))<=>(?[X]:(~brave(X))))&
(![X]:(curious(X)=>(curious(X)<~>quiet... | strong(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2129939958886354124998839
% SZS output start Proof for 2129939958886354124998839
21. wise(mary) & strong(mary) [input p20]
24. ~strong(mary) [input hypothesis]
131. strong(mary) [cnf transformation 21]
137. ~strong(mary) [cnf transformation 24]
358. $false [subsumption resolution 137,131]... | 0 |
Everyone who is happy or not patient is old and vice versa. If someone is not tall or not creative then someone is both not generous and not creative. Everyone who is either creative or not brave is both not old and rich. If someone is both patient and brave then susan is both humble and patient. Everyone who is patien... | Fred is quiet. | contradiction | (![X]:((happy(X)|~patient(X))<=>old(X)))&
((?[X]:((~tall(X)|~creative(X))))=>(?[X]:((~generous(X)&~creative(X)))))&
(![X]:((creative(X)<~>~brave(X))=>(~old(X)&rich(X))))&
((?[X]:((patient(X)&brave(X))))=>((humble(susan)&patient(susan))))&
(![X]:((patient(X)|calm(X))<=>(~funny(X)|curious(X))))&
(![X]:(~kind(X)<=>(humble... | quiet(fred) | [
"p5",
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3547276895999505398792639
% SZS output start Proof for 3547276895999505398792639
6. ! [X0] : (~kind(X0) <=> (~strong(X0) & humble(X0))) [input p5]
7. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (curious(X0) | strong(X0))) [input p6]
8. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> (~patient(... | 0 |
If mary is not humble or not strong then fred is not creative and vice versa.
If someone is either strong or kind then someone is either wise or happy.
Everyone who is either kind or not strong is tall and vice versa.
Everyone who is kind or rich is not strong or calm.
If fred is creative then someone is not funny and ... | Lucy is not humble. | neutral | (((~humble(mary)|~strong(mary)))<=>(~creative(fred)))&
((?[X]:((strong(X)<~>kind(X))))=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((kind(X)<~>~strong(X))<=>tall(X)))&
(![X]:((kind(X)|rich(X))=>(~strong(X)|calm(X))))&
((creative(fred))<=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)&patient(X))<=>brave(X)))&
((?[X]:((patient(X)&br... | ~humble(lucy) | [] | null | 0 |
If someone is not tall or not strong then someone is tall or strong.
If someone is either strong or rich then alice is both not creative and not funny.
Everyone who is old is rich.
Everyone who is brave is both not funny and not wise and vice versa.
If someone is both not humble and kind then john is not patient.
Every... | Paul is calm. | entailment | ((?[X]:((~tall(X)|~strong(X))))=>(?[X]:((tall(X)|strong(X)))))&
((?[X]:((strong(X)<~>rich(X))))=>((~creative(alice)&~funny(alice))))&
(![X]:(old(X)=>rich(X)))&
(![X]:(brave(X)<=>(~funny(X)&~wise(X))))&
((?[X]:((~humble(X)&kind(X))))=>(~patient(john)))&
(![X]:((~patient(X)|~funny(X))<=>(~humble(X)<~>~strong(X))))&
(![X]... | calm(paul) | [
"p1",
"p5",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 64864958862656304578970
% SZS output start Proof for 64864958862656304578970
2. ? [X0] : (strong(X0) <~> rich(X0)) => (~funny(alice) & ~creative(alice)) [input p1]
6. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~humble(X0) <~> ~strong(X0))) [input p5]
7. ! [X0] : ((happy(X0) <~> patient(X0... | 0 |
If someone is either brave or patient then susan is not patient and vice versa.
Everyone who is either not strong or not patient is both rich and curious and vice versa.
Everyone who is both strong and not kind is funny and vice versa.
Everyone who is not curious is either not brave or not rich and vice versa.
Everyone... | Alice is not calm. | neutral | ((?[X]:((brave(X)<~>patient(X))))<=>(~patient(susan)))&
(![X]:((~strong(X)<~>~patient(X))<=>(rich(X)&curious(X))))&
(![X]:((strong(X)&~kind(X))<=>funny(X)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((humble(X)&brave(X))=>(generous(X)&kind(X))))&
(![X]:((~funny(X)&generous(X))=>(wise(X)<~>~curious(X))))&
((... | ~calm(alice) | [] | null | 0 |
If paul is either kind or not kind then lucy is not old and vice versa.
Everyone who is not strong or not wise is both not strong and not happy and vice versa.
Everyone who is kind is not brave or kind.
If mary is kind then someone is both not creative and strong and vice versa.
Everyone who is creative is not old and ... | Mary is curious. | neutral | (((kind(paul)<~>~kind(paul)))<=>(~old(lucy)))&
(![X]:((~strong(X)|~wise(X))<=>(~strong(X)&~happy(X))))&
(![X]:(kind(X)=>(~brave(X)|kind(X))))&
((kind(mary))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:(creative(X)<=>~old(X)))&
(![X]:((~patient(X)<~>old(X))=>(happy(X)<~>~rich(X))))&
(![X]:(curious(X)=>(generous(X)<~>~ol... | curious(mary) | [] | null | 0 |
Everyone who is both happy and not creative is wise. If john is wise then someone is not calm and vice versa. Everyone who is both generous and quiet is kind or not funny and vice versa. Everyone who is both humble and not humble is calm and vice versa. If john is both not kind and creative then someone is kind and vic... | John is not patient. | entailment | (![X]:((happy(X)&~creative(X))=>wise(X)))&
((wise(john))<=>(?[X]:(~calm(X))))&
(![X]:((generous(X)&quiet(X))<=>(kind(X)|~funny(X))))&
(![X]:((humble(X)&~humble(X))<=>calm(X)))&
(((~kind(john)&creative(john)))<=>(?[X]:(kind(X))))&
(((~patient(john)&calm(john)))<=>((brave(john)|~curious(john))))&
((funny(fred))<=>((~funn... | ~patient(john) | [
"p1",
"p3",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 878443531160404946440423
% SZS output start Proof for 878443531160404946440423
2. wise(john) <=> ? [X0] : ~calm(X0) [input p1]
4. ! [X0] : ((~humble(X0) & humble(X0)) <=> calm(X0)) [input p3]
9. ! [X0] : ((kind(X0) | ~calm(X0)) <=> ~strong(X0)) [input p8]
13. ! [X0] : (~patient(X0) <=> (w... | 0 |
If someone is kind then fred is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Alice is curious. | contradiction | ((?[X]:(kind(X)))<=>((~quiet(fred)|humble(fred))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | curious(alice) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3541463885695994825441218
% SZS output start Proof for 3541463885695994825441218
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
16. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p15]
23. curious(alice) [input hypothesis]
24. ? [X0] : ... | 0 |
Everyone who is not strong or old is not humble or not quiet.
Everyone who is wise is both curious and not generous.
If fred is not old or rich then lucy is both humble and not tall and vice versa.
Everyone who is both tall and not funny is not curious.
If someone is both happy and not generous then someone is not quie... | John is not strong. | entailment | (![X]:((~strong(X)|old(X))=>(~humble(X)|~quiet(X))))&
(![X]:(wise(X)=>(curious(X)&~generous(X))))&
(((~old(fred)|rich(fred)))<=>((humble(lucy)&~tall(lucy))))&
(![X]:((tall(X)&~funny(X))=>~curious(X)))&
((?[X]:((happy(X)&~generous(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((~funny(X)|~creative(X))))=>((kind(fred)|brave(fred))... | ~strong(john) | [
"p2",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7884742915598875855846571
% SZS output start Proof for 7884742915598875855846571
3. (rich(fred) | ~old(fred)) <=> (~tall(lucy) & humble(lucy)) [input p2]
9. ! [X0] : ((~wise(X0) | ~generous(X0)) => (curious(X0) & ~rich(X0))) [input p8]
10. ! [X0] : ((tall(X0) <~> brave(X0)) => (curious(X0... | 0 |
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