premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If alice is either not curious or not funny then susan is both not quiet and rich and vice versa. Everyone who is both funny and tall is either kind or not happy. Everyone who is both tall and not quiet is not strong. Everyone who is both rich and not old is tall or not quiet and vice versa. Everyone who is both funny ... | Fred is funny. | contradiction | (((~curious(alice)<~>~funny(alice)))<=>((~quiet(susan)&rich(susan))))&
(![X]:((funny(X)&tall(X))=>(kind(X)<~>~happy(X))))&
(![X]:((tall(X)&~quiet(X))=>~strong(X)))&
(![X]:((rich(X)&~old(X))<=>(tall(X)|~quiet(X))))&
(![X]:((funny(X)&~generous(X))=>~brave(X)))&
(![X]:((~humble(X)<~>~funny(X))=>(kind(X)<~>~generous(X))))&... | funny(fred) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5500615913988218196372739
% SZS output start Proof for 5500615913988218196372739
5. ! [X0] : ((~generous(X0) & funny(X0)) => ~brave(X0)) [input p4]
21. brave(fred) & ~generous(fred) [input p20]
24. funny(fred) [input hypothesis]
32. ! [X0] : (~brave(X0) | (generous(X0) | ~funny(X0))) [enn... | 0 |
If paul is not curious then someone is not brave and vice versa. Everyone who is not brave is quiet or brave. If lucy is either not rich or not patient then susan is either not humble or generous. If someone is either not strong or old then someone is either not old or old. If someone is not patient or not wise then so... | Susan is quiet. | contradiction | ((~curious(paul))<=>(?[X]:(~brave(X))))&
(![X]:(~brave(X)=>(quiet(X)|brave(X))))&
(((~rich(lucy)<~>~patient(lucy)))=>((~humble(susan)<~>generous(susan))))&
((?[X]:((~strong(X)<~>old(X))))=>(?[X]:((~old(X)<~>old(X)))))&
((?[X]:((~patient(X)|~wise(X))))<=>(?[X]:((strong(X)&tall(X)))))&
((?[X]:(calm(X)))=>(?[X]:((generous... | quiet(susan) | [
"p7",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7064836139546218519690801
% SZS output start Proof for 7064836139546218519690801
8. ! [X0] : ((old(X0) & ~quiet(X0)) <=> (old(X0) & quiet(X0))) [input p7]
12. ! [X0] : (~wise(X0) <=> (~quiet(X0) | creative(X0))) [input p11]
15. ! [X0] : ((humble(X0) | ~old(X0)) <=> (calm(X0) & ~creative(X... | 0 |
If someone is not old or not rich then susan is both not brave and brave. Everyone who is not funny is generous or not brave and vice versa. If john is not quiet then susan is curious and vice versa. If someone is not old or rich then someone is either old or generous. Everyone who is happy or not strong is wise or not... | Paul is strong. | entailment | ((?[X]:((~old(X)|~rich(X))))=>((~brave(susan)&brave(susan))))&
(![X]:(~funny(X)<=>(generous(X)|~brave(X))))&
((~quiet(john))<=>(curious(susan)))&
((?[X]:((~old(X)|rich(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((happy(X)|~strong(X))=>(wise(X)|~generous(X))))&
(![X]:((~kind(X)<~>brave(X))=>(rich(X)|~patient(X))))&
... | strong(paul) | [
"p0",
"p6",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7819322696327050711829405
% SZS output start Proof for 7819322696327050711829405
1. ? [X0] : (~rich(X0) | ~old(X0)) => (brave(susan) & ~brave(susan)) [input p0]
7. (~funny(paul) | ~happy(paul)) <=> (quiet(paul) & ~kind(paul)) [input p6]
13. ? [X0] : (old(X0) & ~kind(X0)) => ~rich(john) [i... | 0 |
Everyone who is brave is not happy or brave.
If someone is both wise and generous then paul is both not creative and not funny and vice versa.
Everyone who is not generous or patient is old.
If susan is calm then mary is generous or brave.
Everyone who is not happy or kind is not brave.
Everyone who is not curious is n... | Mary is generous. | neutral | (![X]:(brave(X)=>(~happy(X)|brave(X))))&
((?[X]:((wise(X)&generous(X))))<=>((~creative(paul)&~funny(paul))))&
(![X]:((~generous(X)|patient(X))=>old(X)))&
((calm(susan))=>((generous(mary)|brave(mary))))&
(![X]:((~happy(X)|kind(X))=>~brave(X)))&
(![X]:(~curious(X)=>~calm(X)))&
(![X]:((~creative(X)&calm(X))=>(~creative(X)... | generous(mary) | [] | null | 0 |
Everyone who is calm or strong is curious and vice versa.
If paul is both strong and not calm then someone is either happy or not old and vice versa.
If susan is either not quiet or funny then someone is both funny and not brave.
Everyone who is both not quiet and rich is both wise and not quiet.
Everyone who is both c... | Fred is calm. | contradiction | (![X]:((calm(X)|strong(X))<=>curious(X)))&
(((strong(paul)&~calm(paul)))<=>(?[X]:((happy(X)<~>~old(X)))))&
(((~quiet(susan)<~>funny(susan)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~quiet(X)&rich(X))=>(wise(X)&~quiet(X))))&
(![X]:((creative(X)&~curious(X))<=>(brave(X)&curious(X))))&
((?[X]:(creative(X)))=>((~quiet(luc... | calm(fred) | [
"p0",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8556668763619056758926048
% SZS output start Proof for 8556668763619056758926048
1. ! [X0] : ((strong(X0) | calm(X0)) <=> curious(X0)) [input p0]
7. ! [X0] : (curious(X0) <=> ~patient(X0)) [input p6]
11. ! [X0] : (~curious(X0) <=> (~generous(X0) | ~old(X0))) [input p10]
13. ! [X0] : ((~pa... | 0 |
Everyone who is patient or not old is both creative and not patient and vice versa.
If someone is happy then fred is both happy and not old and vice versa.
If mary is tall then someone is both strong and not curious.
Everyone who is either not tall or not curious is either not brave or not funny.
Everyone who is either... | Susan is not quiet. | contradiction | (![X]:((patient(X)|~old(X))<=>(creative(X)&~patient(X))))&
((?[X]:(happy(X)))<=>((happy(fred)&~old(fred))))&
((tall(mary))=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:((~tall(X)<~>~curious(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(brave(X)|~rich(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((ric... | ~quiet(susan) | [
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1823813057245712475265323
% SZS output start Proof for 1823813057245712475265323
4. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (~brave(X0) <~> ~funny(X0))) [input p3]
6. ? [X0] : (~tall(X0) & curious(X0)) <=> ? [X0] : (~kind(X0) | rich(X0)) [input p5]
9. ! [X0] : (rich(X0) <=> ~quiet(X0)) ... | 0 |
If someone is both not curious and funny then someone is both brave and not happy. Everyone who is not generous or not quiet is not creative or creative. Everyone who is both rich and not strong is funny and vice versa. Everyone who is both not funny and quiet is both not old and kind and vice versa. If mary is both wi... | Alice is humble. | contradiction | ((?[X]:((~curious(X)&funny(X))))=>(?[X]:((brave(X)&~happy(X)))))&
(![X]:((~generous(X)|~quiet(X))=>(~creative(X)|creative(X))))&
(![X]:((rich(X)&~strong(X))<=>funny(X)))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)&kind(X))))&
(((wise(mary)&~humble(mary)))<=>(?[X]:(old(X))))&
(![X]:(happy(X)=>(patient(X)&~curious(X))))&
(((... | humble(alice) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5513390463455793061955804
% SZS output start Proof for 5513390463455793061955804
7. (humble(alice) | ~strong(alice)) => ? [X0] : ~creative(X0) [input p6]
13. ! [X0] : ((creative(X0) <~> humble(X0)) <=> ~humble(X0)) [input p12]
20. humble(alice) [input hypothesis]
26. ? [X0] : ~creative(X0... | 0 |
If someone is either calm or quiet then someone is both not patient and wise and vice versa.
If mary is both humble and not brave then john is not creative.
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 v... | Alice is not rich. | contradiction | ((?[X]:((calm(X)<~>quiet(X))))<=>(?[X]:((~patient(X)&wise(X)))))&
(((humble(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)<~>... | ~rich(alice) | [
"p2",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 889272421679021241525633
% SZS output start Proof for 889272421679021241525633
3. ! [X0] : ((strong(X0) | old(X0)) <=> (~quiet(X0) & funny(X0))) [input p2]
8. ! [X0] : ((~old(X0) | ~rich(X0)) <=> quiet(X0)) [input p7]
18. old(alice) <~> strong(alice) [input p17]
25. ~rich(alice) [input hy... | 0 |
If fred is both old and not wise then fred is not old or calm.
Everyone who is calm or not generous is either not humble or not patient.
If paul is either old or wise then someone is either not patient or not creative and vice versa.
If someone is tall or not calm then someone is either creative or not curious.
Everyon... | Mary is old. | contradiction | (((old(fred)&~wise(fred)))=>((~old(fred)|calm(fred))))&
(![X]:((calm(X)|~generous(X))=>(~humble(X)<~>~patient(X))))&
(((old(paul)<~>wise(paul)))<=>(?[X]:((~patient(X)<~>~creative(X)))))&
((?[X]:((tall(X)|~calm(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(~wise(X)=>(kind(X)&~tall(X))))&
((?[X]:((~generous(X)<~>~... | old(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2832654326495535967605723
% SZS output start Proof for 2832654326495535967605723
9. ! [X0] : ((brave(X0) | old(X0)) <=> (~old(X0) & strong(X0))) [input p8]
25. old(mary) [input hypothesis]
61. ! [X0] : (((brave(X0) | old(X0)) | (old(X0) | ~strong(X0))) & ((~old(X0) & strong(X0)) | (~brave... | 0 |
Everyone who is both not tall and generous is creative or patient and vice versa.
If mary is not funny then someone is either funny or happy.
If someone is both old and calm then someone is both not quiet and not humble.
Everyone who is funny is not wise and vice versa.
If someone is tall then alice is either strong or... | Alice is curious. | contradiction | (![X]:((~tall(X)&generous(X))<=>(creative(X)|patient(X))))&
((~funny(mary))=>(?[X]:((funny(X)<~>happy(X)))))&
((?[X]:((old(X)&calm(X))))=>(?[X]:((~quiet(X)&~humble(X)))))&
(![X]:(funny(X)<=>~wise(X)))&
((?[X]:(tall(X)))=>((strong(alice)<~>humble(alice))))&
(![X]:((~quiet(X)&patient(X))<=>(happy(X)<~>generous(X))))&
((?... | curious(alice) | [
"p0",
"p7",
"p10",
"p11",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2597668566020411434154816
% SZS output start Proof for 2597668566020411434154816
1. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (patient(X0) | creative(X0))) [input p0]
8. ? [X0] : patient(X0) => (calm(lucy) & tall(lucy)) [input p7]
11. ! [X0] : ((~tall(X0) <~> patient(X0)) => (~generous(X0)... | 0 |
Everyone who is both calm and not patient is either calm or curious and vice versa. Everyone who is quiet is calm and vice versa. Everyone who is either not tall or happy is quiet or calm. Everyone who is not creative or not calm is quiet or creative and vice versa. Everyone who is both not old and not patient is both ... | Mary is patient. | entailment | (![X]:((calm(X)&~patient(X))<=>(calm(X)<~>curious(X))))&
(![X]:(quiet(X)<=>calm(X)))&
(![X]:((~tall(X)<~>happy(X))=>(quiet(X)|calm(X))))&
(![X]:((~creative(X)|~calm(X))<=>(quiet(X)|creative(X))))&
(![X]:((~old(X)&~patient(X))=>(~generous(X)&humble(X))))&
((?[X]:((old(X)&~funny(X))))=>((~tall(susan)|quiet(susan))))&
((?... | patient(mary) | [
"p6",
"p7",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1308585863591177720160438
% SZS output start Proof for 1308585863591177720160438
7. ? [X0] : (~brave(X0) <~> generous(X0)) <=> ~old(john) [input p6]
8. ? [X0] : generous(X0) => (patient(mary) & ~curious(mary)) [input p7]
10. ! [X0] : ((~generous(X0) | ~brave(X0)) <=> kind(X0)) [input p9]
... | 0 |
Everyone who is curious or patient is wise or tall.
Everyone who is both not happy and brave is either not calm or not kind and vice versa.
Everyone who is either patient or calm is either not patient or not strong and vice versa.
Everyone who is both not quiet and not wise is calm.
Everyone who is not happy or not str... | Alice is calm. | contradiction | (![X]:((curious(X)|patient(X))=>(wise(X)|tall(X))))&
(![X]:((~happy(X)&brave(X))<=>(~calm(X)<~>~kind(X))))&
(![X]:((patient(X)<~>calm(X))<=>(~patient(X)<~>~strong(X))))&
(![X]:((~quiet(X)&~wise(X))=>calm(X)))&
(![X]:((~happy(X)|~strong(X))=>(rich(X)|~rich(X))))&
(![X]:((~curious(X)|humble(X))=>(~funny(X)&~humble(X))))&... | calm(alice) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 255328180868609800952330
% SZS output start Proof for 255328180868609800952330
3. ! [X0] : ((patient(X0) <~> calm(X0)) <=> (~patient(X0) <~> ~strong(X0))) [input p2]
20. ~strong(alice) [input p19]
24. calm(alice) [input hypothesis]
43. ! [X0] : ((((~calm(X0) | ~patient(X0)) & (calm(X0) | ... | 0 |
Everyone who is not rich or curious is not creative. Everyone who is both funny and kind is either not wise or not quiet. Everyone who is funny is not brave. If paul is not funny then mary is not kind or quiet. If someone is generous or happy then mary is both not wise and quiet and vice versa. Everyone who is patient ... | Alice is happy. | neutral | (![X]:((~rich(X)|curious(X))=>~creative(X)))&
(![X]:((funny(X)&kind(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:(funny(X)=>~brave(X)))&
((~funny(paul))=>((~kind(mary)|quiet(mary))))&
((?[X]:((generous(X)|happy(X))))<=>((~wise(mary)&quiet(mary))))&
(![X]:(patient(X)<=>quiet(X)))&
(![X]:((tall(X)|rich(X))=>(~funny(X)<~>humble(X... | happy(alice) | [] | null | 0 |
Everyone who is either not old or not creative is not quiet or funny and vice versa. If mary is both not generous and curious then paul is kind and vice versa. If someone is funny or not patient then alice is creative. If someone is both not calm and not happy then mary is either rich or creative and vice versa. If joh... | Alice is creative. | entailment | (![X]:((~old(X)<~>~creative(X))<=>(~quiet(X)|funny(X))))&
(((~generous(mary)&curious(mary)))<=>(kind(paul)))&
((?[X]:((funny(X)|~patient(X))))=>(creative(alice)))&
((?[X]:((~calm(X)&~happy(X))))<=>((rich(mary)<~>creative(mary))))&
(((patient(john)|~happy(john)))<=>(?[X]:(quiet(X))))&
(![X]:((curious(X)&~tall(X))<=>(qui... | creative(alice) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1004557891661958402842731
% SZS output start Proof for 1004557891661958402842731
3. ? [X0] : (~patient(X0) | funny(X0)) => creative(alice) [input p2]
19. funny(fred) [input p18]
25. ~creative(alice) [input hypothesis]
27. creative(alice) | ! [X0] : (patient(X0) & ~funny(X0)) [ennf transfo... | 0 |
If someone is strong or not calm then mary is either not creative or not happy and vice versa.
Everyone who is tall or curious is both strong and not creative.
If fred is creative or quiet then john is either not strong or curious.
If mary is calm then lucy is not quiet and vice versa.
Everyone who is both quiet and no... | John is not patient. | neutral | ((?[X]:((strong(X)|~calm(X))))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:((tall(X)|curious(X))=>(strong(X)&~creative(X))))&
(((creative(fred)|quiet(fred)))=>((~strong(john)<~>curious(john))))&
((calm(mary))<=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~pa... | ~patient(john) | [] | null | 0 |
Everyone who is not humble or brave is both not brave and not tall and vice versa. If someone is not patient or happy then someone is both not kind and not curious. If someone is both not calm and not kind then paul is humble or not curious and vice versa. If fred is both wise and not generous then fred is both old and... | Susan is strong. | neutral | (![X]:((~humble(X)|brave(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((~patient(X)|happy(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
((?[X]:((~calm(X)&~kind(X))))<=>((humble(paul)|~curious(paul))))&
(((wise(fred)&~generous(fred)))=>((old(fred)&happy(fred))))&
((~strong(susan))<=>(?[X]:((~creative(X)|~curious(X)))))&
(![X]:((~hum... | strong(susan) | [] | null | 0 |
Everyone who is either generous or not curious is humble or curious. Everyone who is strong or patient is not calm or calm and vice versa. If susan is not happy then someone is both not quiet and not funny. Everyone who is not funny is either not strong or wise and vice versa. Everyone who is both wise and funny is qui... | Alice is not strong. | neutral | (![X]:((generous(X)<~>~curious(X))=>(humble(X)|curious(X))))&
(![X]:((strong(X)|patient(X))<=>(~calm(X)|calm(X))))&
((~happy(susan))=>(?[X]:((~quiet(X)&~funny(X)))))&
(![X]:(~funny(X)<=>(~strong(X)<~>wise(X))))&
(![X]:((wise(X)&funny(X))=>(quiet(X)|~generous(X))))&
(![X]:(generous(X)<=>(~patient(X)&generous(X))))&
(![X... | ~strong(alice) | [] | null | 0 |
If someone is either not rich or patient then fred is happy or curious and vice versa.
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm... | Fred is not brave. | contradiction | ((?[X]:((~rich(X)<~>patient(X))))<=>((happy(fred)|curious(fred))))&
(![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X)... | ~brave(fred) | [
"p5",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3826579350960304467774936
% SZS output start Proof for 3826579350960304467774936
6. ! [X0] : ((brave(X0) | ~funny(X0)) => (~calm(X0) & brave(X0))) [input p5]
7. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~tall(X0... | 0 |
Everyone who is either not humble or quiet is both not kind and quiet and vice versa. Everyone who is not strong or patient is old. Everyone who is either not calm or not creative is wise and vice versa. Everyone who is not old is both not funny and not creative. If fred is both rich and not tall then fred is both not ... | Lucy is old. | entailment | (![X]:((~humble(X)<~>quiet(X))<=>(~kind(X)&quiet(X))))&
(![X]:((~strong(X)|patient(X))=>old(X)))&
(![X]:((~calm(X)<~>~creative(X))<=>wise(X)))&
(![X]:(~old(X)=>(~funny(X)&~creative(X))))&
(((rich(fred)&~tall(fred)))=>((~patient(fred)&happy(fred))))&
(![X]:((~happy(X)<~>brave(X))=>(~kind(X)&~funny(X))))&
(((~quiet(lucy)... | old(lucy) | [
"p2",
"p7",
"p8",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7971261048925752665371423
% SZS output start Proof for 7971261048925752665371423
3. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> wise(X0)) [input p2]
8. ! [X0] : ((funny(X0) | ~creative(X0)) => (creative(X0) | generous(X0))) [input p7]
9. ! [X0] : ((creative(X0) | patient(X0)) => (quiet(X0... | 0 |
Everyone who is either quiet or rich is either happy or humble.
Everyone who is either generous or not brave is either not calm or not rich and vice versa.
If someone is brave then someone is either generous or not humble.
Everyone who is funny is funny or not calm and vice versa.
Everyone who is not kind is not brave ... | Paul is not creative. | entailment | (![X]:((quiet(X)<~>rich(X))=>(happy(X)<~>humble(X))))&
(![X]:((generous(X)<~>~brave(X))<=>(~calm(X)<~>~rich(X))))&
((?[X]:(brave(X)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:(funny(X)<=>(funny(X)|~calm(X))))&
(![X]:(~kind(X)<=>~brave(X)))&
(![X]:((quiet(X)|~kind(X))<=>generous(X)))&
((?[X]:((~generous(X)<~>happy(X... | ~creative(paul) | [
"p3",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2080700483949571109233495
% SZS output start Proof for 2080700483949571109233495
4. ! [X0] : (funny(X0) <=> (~calm(X0) | funny(X0))) [input p3]
12. ! [X0] : (old(X0) => (~creative(X0) <~> ~calm(X0))) [input p11]
15. ! [X0] : ((brave(X0) <~> ~funny(X0)) <=> (calm(X0) <~> ~brave(X0))) [inpu... | 0 |
Everyone who is both not brave and generous is happy or strong and vice versa. Everyone who is not wise is either not old or happy. If mary is tall or not curious then susan is both not rich and not curious and vice versa. If someone is not quiet then fred is either not brave or tall. Everyone who is quiet or not calm ... | Susan is brave. | neutral | (![X]:((~brave(X)&generous(X))<=>(happy(X)|strong(X))))&
(![X]:(~wise(X)=>(~old(X)<~>happy(X))))&
(((tall(mary)|~curious(mary)))<=>((~rich(susan)&~curious(susan))))&
((?[X]:(~quiet(X)))=>((~brave(fred)<~>tall(fred))))&
(![X]:((quiet(X)|~calm(X))=>~creative(X)))&
((~tall(fred))=>(~old(paul)))&
(![X]:((quiet(X)|generous(... | brave(susan) | [] | null | 0 |
Everyone who is either not brave or not funny is not rich and vice versa. Everyone who is not rich is not quiet or not tall and vice versa. Everyone who is humble is kind or rich. If someone is both humble and not quiet then mary is funny or not generous. Everyone who is either humble or quiet is not rich and vice vers... | Mary is not brave. | entailment | (![X]:((~brave(X)<~>~funny(X))<=>~rich(X)))&
(![X]:(~rich(X)<=>(~quiet(X)|~tall(X))))&
(![X]:(humble(X)=>(kind(X)|rich(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((funny(mary)|~generous(mary))))&
(![X]:((humble(X)<~>quiet(X))<=>~rich(X)))&
((?[X]:(funny(X)))=>((~curious(mary)&curious(mary))))&
(![X]:((happy(X)|~rich(X))=>... | ~brave(mary) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4580500511817093179142224
% SZS output start Proof for 4580500511817093179142224
1. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> ~rich(X0)) [input p0]
2. ! [X0] : (~rich(X0) <=> (~tall(X0) | ~quiet(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> quiet(X0)) <=> ~rich(X0)) [input p4]
6. ? [X0] :... | 0 |
If susan is patient or not rich then someone is kind or not funny and vice versa.
Everyone who is both not brave and not creative is both not quiet and curious.
Everyone who is patient or quiet is either generous or wise and vice versa.
Everyone who is both not strong and not funny is not brave.
Everyone who is both ri... | Fred is patient. | neutral | (((patient(susan)|~rich(susan)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~brave(X)&~creative(X))=>(~quiet(X)&curious(X))))&
(![X]:((patient(X)|quiet(X))<=>(generous(X)<~>wise(X))))&
(![X]:((~strong(X)&~funny(X))=>~brave(X)))&
(![X]:((rich(X)&strong(X))=>(~old(X)|~tall(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>~strong(X... | patient(fred) | [] | null | 0 |
Everyone who is both not kind and kind is either old or not funny and vice versa.
Everyone who is curious or not humble is not funny or tall.
If someone is not quiet then mary is not creative.
If susan is either not tall or not old then someone is either calm or not calm and vice versa.
If fred is wise then fred is eit... | John is not old. | entailment | (![X]:((~kind(X)&kind(X))<=>(old(X)<~>~funny(X))))&
(![X]:((curious(X)|~humble(X))=>(~funny(X)|tall(X))))&
((?[X]:(~quiet(X)))=>(~creative(mary)))&
(((~tall(susan)<~>~old(susan)))<=>(?[X]:((calm(X)<~>~calm(X)))))&
((wise(fred))=>((~kind(fred)<~>~strong(fred))))&
(![X]:((~tall(X)<~>happy(X))=>(humble(X)|~wise(X))))&
((?... | ~old(john) | [
"p0",
"p7",
"p9",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 153077966143682370490538
% SZS output start Proof for 153077966143682370490538
1. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (old(X0) <~> ~funny(X0))) [input p0]
8. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> happy(X0)) [input p7]
10. ! [X0] : ((calm(X0) | happy(X0)) <=> old(X0)) [input p9]
13. ! [X0... | 0 |
Everyone who is not patient is either strong or creative. If mary is tall then susan is not humble or not kind. If someone is calm then someone is not brave. Everyone who is not happy is not creative. Everyone who is not strong or not kind is patient. Everyone who is either rich or calm is either not happy or generous.... | Susan is kind. | entailment | (![X]:(~patient(X)=>(strong(X)<~>creative(X))))&
((tall(mary))=>((~humble(susan)|~kind(susan))))&
((?[X]:(calm(X)))=>(?[X]:(~brave(X))))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~strong(X)|~kind(X))=>patient(X)))&
(![X]:((rich(X)<~>calm(X))=>(~happy(X)<~>generous(X))))&
(![X]:((~rich(X)|creative(X))=>(humble(X)<~>pat... | kind(susan) | [
"p4",
"p6",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 441009324980631912119740
% SZS output start Proof for 441009324980631912119740
5. ! [X0] : ((~kind(X0) | ~strong(X0)) => patient(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~rich(X0)) => (humble(X0) <~> patient(X0))) [input p6]
10. ! [X0] : ((creative(X0) | generous(X0)) => humble(X0)) [... | 0 |
Everyone who is both not old and generous is funny or quiet.
Everyone who is not tall is patient or wise.
Everyone who is both not tall and calm is not curious or not generous and vice versa.
Everyone who is both strong and not calm is either humble or brave and vice versa.
Everyone who is not tall or strong is not cur... | Alice is not rich. | neutral | (![X]:((~old(X)&generous(X))=>(funny(X)|quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|wise(X))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)|~generous(X))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~tall(X)|strong(X))<=>(~curious(X)|~brave(X))))&
((~kind(fred))<=>(?[X]:(humble(X))))&
((?[X]:((wise(X)|... | ~rich(alice) | [] | null | 0 |
If someone is not kind or old then lucy is generous.
Everyone who is both not patient and quiet is curious or not patient.
If someone is both rich and not happy then alice is kind or not rich.
If someone is not curious or strong then fred is curious or not funny and vice versa.
If someone is quiet or not calm then fred... | Alice is not quiet. | entailment | ((?[X]:((~kind(X)|old(X))))=>(generous(lucy)))&
(![X]:((~patient(X)&quiet(X))=>(curious(X)|~patient(X))))&
((?[X]:((rich(X)&~happy(X))))=>((kind(alice)|~rich(alice))))&
((?[X]:((~curious(X)|strong(X))))<=>((curious(fred)|~funny(fred))))&
((?[X]:((quiet(X)|~calm(X))))<=>((curious(fred)&~quiet(fred))))&
(((~calm(alice)<~... | ~quiet(alice) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 591800190107147905842751
% SZS output start Proof for 591800190107147905842751
5. ? [X0] : (~calm(X0) | quiet(X0)) <=> (~quiet(fred) & curious(fred)) [input p4]
10. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~quiet(X0) | patient(X0))) [input p9]
25. quiet(alice) [input hypothesis]
49. (?... | 0 |
If someone is generous or not old then someone is either not wise or not humble.
Everyone who is not funny or wise is both wise and not patient.
Everyone who is not humble is wise and vice versa.
If alice is both not calm and wise then lucy is both not kind and not brave.
Everyone who is either patient or rich is humbl... | John is not tall. | entailment | ((?[X]:((generous(X)|~old(X))))=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((~funny(X)|wise(X))=>(wise(X)&~patient(X))))&
(![X]:(~humble(X)<=>wise(X)))&
(((~calm(alice)&wise(alice)))=>((~kind(lucy)&~brave(lucy))))&
(![X]:((patient(X)<~>rich(X))=>humble(X)))&
(![X]:((wise(X)<~>~creative(X))=>(happy(X)<~>~tall(X))))&
(![X... | ~tall(john) | [
"p2",
"p5",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8430338819702161187619318
% SZS output start Proof for 8430338819702161187619318
3. ! [X0] : (~humble(X0) <=> wise(X0)) [input p2]
6. ! [X0] : ((wise(X0) <~> ~creative(X0)) => (happy(X0) <~> ~tall(X0))) [input p5]
11. ! [X0] : (humble(X0) <=> (humble(X0) <~> ~humble(X0))) [input p10]
16. ... | 0 |
Everyone who is either creative or wise is not funny or tall and vice versa.
Everyone who is not calm or not kind is humble or not old and vice versa.
If someone is humble then alice is creative or not wise.
If someone is both funny and not calm then lucy is either wise or patient and vice versa.
Everyone who is either... | Fred is curious. | entailment | (![X]:((creative(X)<~>wise(X))<=>(~funny(X)|tall(X))))&
(![X]:((~calm(X)|~kind(X))<=>(humble(X)|~old(X))))&
((?[X]:(humble(X)))=>((creative(alice)|~wise(alice))))&
((?[X]:((funny(X)&~calm(X))))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((creative(X)<~>~calm(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:((~tall(X)|~creative(... | curious(fred) | [
"p0",
"p4",
"p5",
"p6",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6389377337939801096952546
% SZS output start Proof for 6389377337939801096952546
1. ! [X0] : ((creative(X0) <~> wise(X0)) <=> (tall(X0) | ~funny(X0))) [input p0]
5. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~funny(X0))) [input p4]
6. ? [X0] : (~creative(X0) | ~tall(X0))... | 0 |
If mary is both funny and happy then john is curious or generous and vice versa.
Everyone who is not generous is both not tall and not old.
Everyone who is either happy or brave is generous or old and vice versa.
If someone is not wise or tall then fred is not funny or not tall and vice versa.
If someone is both not pa... | John is not quiet. | entailment | (((funny(mary)&happy(mary)))<=>((curious(john)|generous(john))))&
(![X]:(~generous(X)=>(~tall(X)&~old(X))))&
(![X]:((happy(X)<~>brave(X))<=>(generous(X)|old(X))))&
((?[X]:((~wise(X)|tall(X))))<=>((~funny(fred)|~tall(fred))))&
((?[X]:((~patient(X)&creative(X))))=>(brave(susan)))&
(((strong(lucy)|~kind(lucy)))=>(?[X]:((~... | ~quiet(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6216287325269065957632789
% SZS output start Proof for 6216287325269065957632789
13. ! [X0] : (~strong(X0) <=> (~quiet(X0) <~> strong(X0))) [input p12]
24. quiet(john) [input hypothesis]
60. ! [X0] : ((~strong(X0) | ((~quiet(X0) | ~strong(X0)) & (strong(X0) | quiet(X0)))) & (((~strong(X0)... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is both old and patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone ... | Susan is tall. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)&patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | tall(susan) | [
"p1",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8058015188684979407665389
% SZS output start Proof for 8058015188684979407665389
2. ! [X0] : ((patient(X0) & old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
7. ! [X0] : (~patient(X0) <=> (funny(X0) & ~old(X0))) [input p6]
13. (~humble(fred) & old(fred)) <=> ? [X0] : (old(X0) <~> ~tall(X0... | 0 |
Everyone who is calm is either not old or not generous.
If someone is both kind and brave then fred is either wise or patient.
If susan is either humble or strong then john is both quiet and not happy and vice versa.
If john is old then john is both not strong and not creative and vice versa.
Everyone who is tall is no... | Mary is old. | entailment | (![X]:(calm(X)=>(~old(X)<~>~generous(X))))&
((?[X]:((kind(X)&brave(X))))=>((wise(fred)<~>patient(fred))))&
(((humble(susan)<~>strong(susan)))<=>((quiet(john)&~happy(john))))&
((old(john))<=>((~strong(john)&~creative(john))))&
(![X]:(tall(X)<=>~curious(X)))&
(![X]:(~curious(X)=>(~calm(X)<~>~old(X))))&
(![X]:(humble(X)<=... | old(mary) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5979117594441345048116311
% SZS output start Proof for 5979117594441345048116311
1. ! [X0] : (calm(X0) => (~old(X0) <~> ~generous(X0))) [input p0]
5. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p4]
6. ! [X0] : (~curious(X0) => (~calm(X0) <~> ~old(X0))) [input p5]
11. ! [X0] : ((~old(X0) |... | 0 |
If lucy is wise or not creative then someone is both not old and rich and vice versa.
If fred is happy or not old then someone is not happy or rich.
Everyone who is either not old or wise is generous or strong.
If susan is rich or happy then paul is creative.
Everyone who is happy is rich.
If someone is not rich or hap... | Lucy is not generous. | entailment | (((wise(lucy)|~creative(lucy)))<=>(?[X]:((~old(X)&rich(X)))))&
(((happy(fred)|~old(fred)))=>(?[X]:((~happy(X)|rich(X)))))&
(![X]:((~old(X)<~>wise(X))=>(generous(X)|strong(X))))&
(((rich(susan)|happy(susan)))=>(creative(paul)))&
(![X]:(happy(X)=>rich(X)))&
((?[X]:((~rich(X)|happy(X))))<=>((~funny(lucy)&~wise(lucy))))&
(... | ~generous(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4620986610871586483549201
% SZS output start Proof for 4620986610871586483549201
11. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p10]
25. generous(lucy) [input hypothesis]
58. ! [X0] : ((~generous(X0) | (~generous(X0) & ~happy(X0))) & ((generous(X0) | happy(X0)) | gener... | 0 |
Everyone who is either humble or old is funny or generous and vice versa. Everyone who is either not strong or humble is not tall and vice versa. Everyone who is happy or not creative is both not brave and tall. If someone is tall then mary is either calm or strong. Everyone who is curious is happy and vice versa. Ever... | Mary is not strong. | neutral | (![X]:((humble(X)<~>old(X))<=>(funny(X)|generous(X))))&
(![X]:((~strong(X)<~>humble(X))<=>~tall(X)))&
(![X]:((happy(X)|~creative(X))=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X)))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((kind(X)|old(X))<=>(brave(X)|~qu... | ~strong(mary) | [] | null | 0 |
If someone is kind or humble then fred is generous. If someone is strong or old then lucy is both not patient and not tall. If fred is humble then alice is patient or not humble. Everyone who is not generous or brave is not strong and vice versa. If someone is not funny or not generous then someone is either happy or n... | John is brave. | neutral | ((?[X]:((kind(X)|humble(X))))=>(generous(fred)))&
((?[X]:((strong(X)|old(X))))=>((~patient(lucy)&~tall(lucy))))&
((humble(fred))=>((patient(alice)|~humble(alice))))&
(![X]:((~generous(X)|brave(X))<=>~strong(X)))&
((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((happy(X)<~>~rich(X)))))&
(![X]:((~humble(X)|~kind(X))<=>(brave(... | brave(john) | [] | null | 0 |
Everyone who is either tall or not patient is either not curious or strong and vice versa. Everyone who is not calm is either not tall or not old. Everyone who is not kind is both quiet and brave and vice versa. If someone is not happy or generous then someone is funny or humble and vice versa. If someone is both curio... | Lucy is happy. | neutral | (![X]:((tall(X)<~>~patient(X))<=>(~curious(X)<~>strong(X))))&
(![X]:(~calm(X)=>(~tall(X)<~>~old(X))))&
(![X]:(~kind(X)<=>(quiet(X)&brave(X))))&
((?[X]:((~happy(X)|generous(X))))<=>(?[X]:((funny(X)|humble(X)))))&
((?[X]:((curious(X)&~humble(X))))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((funny(X)&happy(X))=>humble(X)))... | happy(lucy) | [] | null | 0 |
If paul is not funny or patient then paul is not old or curious. Everyone who is generous or rich is both humble and not brave and vice versa. If fred is both not happy and not old then fred is either generous or not curious and vice versa. Everyone who is not rich or not generous is either brave or not kind and vice v... | Alice is not wise. | entailment | (((~funny(paul)|patient(paul)))=>((~old(paul)|curious(paul))))&
(![X]:((generous(X)|rich(X))<=>(humble(X)&~brave(X))))&
(((~happy(fred)&~old(fred)))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((~rich(X)|~generous(X))<=>(brave(X)<~>~kind(X))))&
((~humble(alice))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((~patient(mary))... | ~wise(alice) | [
"p1",
"p4",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4391075615041309137358448
% SZS output start Proof for 4391075615041309137358448
2. ! [X0] : ((rich(X0) | generous(X0)) <=> (~brave(X0) & humble(X0))) [input p1]
5. ~humble(alice) <=> ? [X0] : (~patient(X0) <~> funny(X0)) [input p4]
11. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (~calm(X0) |... | 0 |
If susan is both funny and not rich then lucy is old and vice versa. If someone is both not tall and not wise then someone is either not humble or calm. If someone is not kind then someone is both not quiet and not patient and vice versa. Everyone who is either not tall or not rich is creative and vice versa. If lucy i... | Fred is not calm. | contradiction | (((funny(susan)&~rich(susan)))<=>(old(lucy)))&
((?[X]:((~tall(X)&~wise(X))))=>(?[X]:((~humble(X)<~>calm(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~tall(X)<~>~rich(X))<=>creative(X)))&
(((funny(lucy)<~>~tall(lucy)))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((wise(X)|funny(X))=>(~creati... | ~calm(fred) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5243480857207033239725994
% SZS output start Proof for 5243480857207033239725994
11. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (~happy(X0) & ~strong(X0))) [input p10]
23. strong(fred) & ~tall(fred) [input p22]
25. ~calm(fred) [input hypothesis]
62. ! [X0] : (((~funny(X0) | ~calm(X0)) | (happ... | 0 |
Everyone who is both humble and quiet is both not generous and patient and vice versa.
If john is curious or not generous then alice is either quiet or calm and vice versa.
If someone is either wise or brave then lucy is both not generous and not creative.
If alice is either old or not strong then someone is not genero... | Mary is not humble. | entailment | (![X]:((humble(X)&quiet(X))<=>(~generous(X)&patient(X))))&
(((curious(john)|~generous(john)))<=>((quiet(alice)<~>calm(alice))))&
((?[X]:((wise(X)<~>brave(X))))=>((~generous(lucy)&~creative(lucy))))&
(((old(alice)<~>~strong(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:(... | ~humble(mary) | [
"p0",
"p2",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8640681972127343955604231
% SZS output start Proof for 8640681972127343955604231
1. ! [X0] : ((quiet(X0) & humble(X0)) <=> (patient(X0) & ~generous(X0))) [input p0]
3. ? [X0] : (wise(X0) <~> brave(X0)) => (~creative(lucy) & ~generous(lucy)) [input p2]
7. ! [X0] : ((~strong(X0) <~> strong(... | 0 |
Everyone who is either not wise or not brave is old and vice versa.
Everyone who is both not humble and not funny is either old or quiet.
If john is either not generous or not quiet then someone is either wise or patient.
Everyone who is generous is either old or generous and vice versa.
If someone is both old and not ... | Paul is kind. | contradiction | (![X]:((~wise(X)<~>~brave(X))<=>old(X)))&
(![X]:((~humble(X)&~funny(X))=>(old(X)<~>quiet(X))))&
(((~generous(john)<~>~quiet(john)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:(generous(X)<=>(old(X)<~>generous(X))))&
((?[X]:((old(X)&~patient(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(patient(X)))<=>((old(paul)|ki... | kind(paul) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8459532786894560716452852
% SZS output start Proof for 8459532786894560716452852
4. ! [X0] : (generous(X0) <=> (old(X0) <~> generous(X0))) [input p3]
8. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> (~kind(X0) | ~old(X0))) [input p7]
18. kind(paul) [input hypothesis]
33. ! [X0] : ((generous(X0) ... | 0 |
Everyone who is both humble and not kind is not creative and vice versa.
Everyone who is both humble and not calm is both happy and not brave.
Everyone who is both not creative and generous is both old and not creative and vice versa.
If someone is not kind then paul is either quiet or curious.
Everyone who is not stro... | Alice is rich. | entailment | (![X]:((humble(X)&~kind(X))<=>~creative(X)))&
(![X]:((humble(X)&~calm(X))=>(happy(X)&~brave(X))))&
(![X]:((~creative(X)&generous(X))<=>(old(X)&~creative(X))))&
((?[X]:(~kind(X)))=>((quiet(paul)<~>curious(paul))))&
(![X]:((~strong(X)|calm(X))<=>(humble(X)&~wise(X))))&
(((~rich(alice)|strong(alice)))<=>(?[X]:((~happy(X)|... | rich(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3075205911563723137961982
% SZS output start Proof for 3075205911563723137961982
12. ! [X0] : (~strong(X0) <=> (rich(X0) <~> strong(X0))) [input p11]
24. ~rich(alice) [input hypothesis]
52. ! [X0] : ((~strong(X0) | ((rich(X0) | ~strong(X0)) & (strong(X0) | ~rich(X0)))) & (((~strong(X0) | ... | 0 |
Everyone who is brave is both kind and not patient and vice versa.
If paul is either wise or curious then mary is brave or not calm.
Everyone who is either old or funny is not happy or not generous and vice versa.
Everyone who is kind or not calm is either wise or not humble and vice versa.
Everyone who is both brave a... | John is not happy. | contradiction | (![X]:(brave(X)<=>(kind(X)&~patient(X))))&
(((wise(paul)<~>curious(paul)))=>((brave(mary)|~calm(mary))))&
(![X]:((old(X)<~>funny(X))<=>(~happy(X)|~generous(X))))&
(![X]:((kind(X)|~calm(X))<=>(wise(X)<~>~humble(X))))&
(![X]:((brave(X)&humble(X))=>(~patient(X)|curious(X))))&
(![X]:((~patient(X)&creative(X))=>(humble(X)<~... | ~happy(john) | [
"p2",
"p6",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1774990343150961770753773
% SZS output start Proof for 1774990343150961770753773
3. ! [X0] : ((old(X0) <~> funny(X0)) <=> (~generous(X0) | ~happy(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~wise(X0)) => (brave(X0) | happy(X0))) [input p6]
9. ! [X0] : ((~rich(X0) | brave(X0)) => (funny(X0) ... | 0 |
If someone is both brave and not funny then mary is curious.
If someone is not funny or not curious then alice is either not curious or not brave.
If someone is patient or creative then mary is either curious or not calm.
Everyone who is calm or old is either not strong or generous.
If john is either humble or strong t... | John is wise. | contradiction | ((?[X]:((brave(X)&~funny(X))))=>(curious(mary)))&
((?[X]:((~funny(X)|~curious(X))))=>((~curious(alice)<~>~brave(alice))))&
((?[X]:((patient(X)|creative(X))))=>((curious(mary)<~>~calm(mary))))&
(![X]:((calm(X)|old(X))=>(~strong(X)<~>generous(X))))&
(((humble(john)<~>strong(john)))=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|w... | wise(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 897159169389398346921945
% SZS output start Proof for 897159169389398346921945
6. ! [X0] : ((wise(X0) | ~tall(X0)) => ~wise(X0)) [input p5]
22. wise(john) [input hypothesis]
31. ! [X0] : (~wise(X0) | (~wise(X0) & tall(X0))) [ennf transformation 6]
85. ~wise(X0) | ~wise(X0) [cnf transforma... | 0 |
Everyone who is both old and not calm is happy.
Everyone who is both patient and curious is old or patient.
If someone is not curious or not patient then john is either not brave or creative.
If someone is both happy and not old then someone is not curious or creative and vice versa.
Everyone who is not quiet or not pa... | Lucy is kind. | contradiction | (![X]:((old(X)&~calm(X))=>happy(X)))&
(![X]:((patient(X)&curious(X))=>(old(X)|patient(X))))&
((?[X]:((~curious(X)|~patient(X))))=>((~brave(john)<~>creative(john))))&
((?[X]:((happy(X)&~old(X))))<=>(?[X]:((~curious(X)|creative(X)))))&
(![X]:((~quiet(X)|~patient(X))<=>(brave(X)&~generous(X))))&
(![X]:(old(X)<=>(old(X)<~>... | kind(lucy) | [
"p6",
"p9",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7213943525340643620623295
% SZS output start Proof for 7213943525340643620623295
7. ? [X0] : (old(X0) | ~humble(X0)) <=> (brave(mary) & curious(mary)) [input p6]
10. ~kind(lucy) <=> ? [X0] : (curious(X0) | ~creative(X0)) [input p9]
15. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (~strong(X0) <~>... | 0 |
Everyone who is not curious is both calm and old and vice versa.
Everyone who is both not happy and creative is not strong.
Everyone who is either not quiet or not curious is both not strong and not patient and vice versa.
If someone is either not rich or kind then someone is both tall and not curious.
If john is both ... | Paul is calm. | entailment | (![X]:(~curious(X)<=>(calm(X)&old(X))))&
(![X]:((~happy(X)&creative(X))=>~strong(X)))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~strong(X)&~patient(X))))&
((?[X]:((~rich(X)<~>kind(X))))=>(?[X]:((tall(X)&~curious(X)))))&
(((~creative(john)&wise(john)))=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:(wise(X)=>(patient(X)&curious(X... | calm(paul) | [
"p0",
"p2",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6094199181396173842979105
% SZS output start Proof for 6094199181396173842979105
1. ! [X0] : (~curious(X0) <=> (old(X0) & calm(X0))) [input p0]
3. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (~patient(X0) & ~strong(X0))) [input p2]
6. ! [X0] : (wise(X0) => (curious(X0) & patient(X0))) [in... | 0 |
If someone is funny then paul is both brave and not quiet.
If john is creative or not rich then fred is either not quiet or quiet and vice versa.
If someone is both not creative and happy then fred is either generous or not curious and vice versa.
Everyone who is either patient or not old is either not kind or not brav... | Paul is curious. | neutral | ((?[X]:(funny(X)))=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((patient(X)<~>~old(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:(generous(X)))<=>(funny(mary)))&
((?[X]:(~kind(X)))<=>(?[X]:((~... | curious(paul) | [] | null | 0 |
If someone is tall or brave then someone is strong and vice versa. Everyone who is funny or wise is quiet and vice versa. If alice is not curious or kind then susan is both not wise and quiet and vice versa. If mary is not strong then someone is not old and vice versa. Everyone who is not old is quiet and vice versa. I... | Susan is quiet. | contradiction | ((?[X]:((tall(X)|brave(X))))<=>(?[X]:(strong(X))))&
(![X]:((funny(X)|wise(X))<=>quiet(X)))&
(((~curious(alice)|kind(alice)))<=>((~wise(susan)&quiet(susan))))&
((~strong(mary))<=>(?[X]:(~old(X))))&
(![X]:(~old(X)<=>quiet(X)))&
(((generous(alice)<~>~strong(alice)))<=>((~calm(lucy)&patient(lucy))))&
(![X]:(~patient(X)=>ge... | quiet(susan) | [
"p3",
"p4",
"p10",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 698634452256691277909114
% SZS output start Proof for 698634452256691277909114
4. ~strong(mary) <=> ? [X0] : ~old(X0) [input p3]
5. ! [X0] : (~old(X0) <=> quiet(X0)) [input p4]
11. ! [X0] : ((tall(X0) & strong(X0)) <=> (~humble(X0) | ~kind(X0))) [input p10]
15. kind(john) => (~kind(mary) ... | 0 |
If someone is both happy and not brave then someone is either generous or tall and vice versa.
Everyone who is calm or not happy is both quiet and not quiet.
If alice is both tall and not wise then john is not creative.
If someone is both not humble and not generous then lucy is either not generous or not happy.
If som... | Alice is funny. | neutral | ((?[X]:((happy(X)&~brave(X))))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((calm(X)|~happy(X))=>(quiet(X)&~quiet(X))))&
(((tall(alice)&~wise(alice)))=>(~creative(john)))&
((?[X]:((~humble(X)&~generous(X))))=>((~generous(lucy)<~>~happy(lucy))))&
((?[X]:(quiet(X)))=>(?[X]:(strong(X))))&
((?[X]:((curious(X)<~>quiet(X))))<... | funny(alice) | [] | null | 0 |
If susan is either not wise or not patient then someone is not humble or not curious and vice versa. If alice is not quiet then john is calm or not creative. If someone is calm then susan is either calm or strong. If someone is both generous and tall then mary is not brave and vice versa. If paul is generous or not ric... | Fred is not creative. | neutral | (((~wise(susan)<~>~patient(susan)))<=>(?[X]:((~humble(X)|~curious(X)))))&
((~quiet(alice))=>((calm(john)|~creative(john))))&
((?[X]:(calm(X)))=>((calm(susan)<~>strong(susan))))&
((?[X]:((generous(X)&tall(X))))<=>(~brave(mary)))&
(((generous(paul)|~rich(paul)))<=>(?[X]:((patient(X)<~>funny(X)))))&
(![X]:((~tall(X)|~rich... | ~creative(fred) | [] | null | 0 |
If someone is either tall or calm then susan is either happy or not kind.
If fred is either not quiet or strong then someone is not wise or not funny.
Everyone who is both not funny and quiet is not quiet and vice versa.
If alice is old then someone is not wise or not kind and vice versa.
Everyone who is not happy is n... | Paul is old. | contradiction | ((?[X]:((tall(X)<~>calm(X))))=>((happy(susan)<~>~kind(susan))))&
(((~quiet(fred)<~>strong(fred)))=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:((~funny(X)&quiet(X))<=>~quiet(X)))&
((old(alice))<=>(?[X]:((~wise(X)|~kind(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:(~gen... | old(paul) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5501121644530028550407686
% SZS output start Proof for 5501121644530028550407686
3. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> ~quiet(X0)) [input p2]
6. ? [X0] : ~patient(X0) => ? [X0] : (generous(X0) | ~funny(X0)) [input p5]
7. ! [X0] : (~generous(X0) <=> (happy(X0) | generous(X0))) [input p... | 0 |
Everyone who is both rich and funny is either not rich or patient and vice versa.
Everyone who is either humble or not kind is calm or not generous.
Everyone who is not old is both not wise and not rich and vice versa.
Everyone who is not funny or not curious is not generous or not brave.
If someone is not tall then pa... | Fred is not generous. | neutral | (![X]:((rich(X)&funny(X))<=>(~rich(X)<~>patient(X))))&
(![X]:((humble(X)<~>~kind(X))=>(calm(X)|~generous(X))))&
(![X]:(~old(X)<=>(~wise(X)&~rich(X))))&
(![X]:((~funny(X)|~curious(X))=>(~generous(X)|~brave(X))))&
((?[X]:(~tall(X)))<=>((~calm(paul)|~patient(paul))))&
(![X]:((~wise(X)&~kind(X))<=>(~happy(X)<~>~brave(X))))... | ~generous(fred) | [] | null | 0 |
If john is either not curious or not tall then john is both not tall and curious and vice versa. Everyone who is curious or not creative is either not brave or humble and vice versa. Everyone who is patient is both tall and not quiet. Everyone who is both creative and not tall is either not quiet or brave. If paul is w... | Paul is kind. | contradiction | (((~curious(john)<~>~tall(john)))<=>((~tall(john)&curious(john))))&
(![X]:((curious(X)|~creative(X))<=>(~brave(X)<~>humble(X))))&
(![X]:(patient(X)=>(tall(X)&~quiet(X))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>brave(X))))&
((wise(paul))<=>(?[X]:(~calm(X))))&
(![X]:((patient(X)&humble(X))<=>(~generous(X)<~>curious... | kind(paul) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2579059034060531263484008
% SZS output start Proof for 2579059034060531263484008
1. (~curious(john) <~> ~tall(john)) <=> (curious(john) & ~tall(john)) [input p0]
3. ! [X0] : (patient(X0) => (~quiet(X0) & tall(X0))) [input p2]
6. ! [X0] : ((humble(X0) & patient(X0)) <=> (~generous(X0) <~> ... | 0 |
Everyone who is either old or strong is patient or not generous.
Everyone who is both humble and wise is either not funny or not calm.
Everyone who is not kind or old is either not calm or patient.
If someone is either not strong or wise then someone is rich and vice versa.
Everyone who is quiet is calm or not humble a... | John is not quiet. | contradiction | (![X]:((old(X)<~>strong(X))=>(patient(X)|~generous(X))))&
(![X]:((humble(X)&wise(X))=>(~funny(X)<~>~calm(X))))&
(![X]:((~kind(X)|old(X))=>(~calm(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>wise(X))))<=>(?[X]:(rich(X))))&
(![X]:(quiet(X)<=>(calm(X)|~humble(X))))&
(![X]:(~funny(X)<=>(~brave(X)|~old(X))))&
(![X]:((~brave(X)... | ~quiet(john) | [
"p4",
"p5",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3481628623037772460672019
% SZS output start Proof for 3481628623037772460672019
5. ! [X0] : (quiet(X0) <=> (~humble(X0) | calm(X0))) [input p4]
6. ! [X0] : (~funny(X0) <=> (~old(X0) | ~brave(X0))) [input p5]
7. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> ~wise(X0)) [input p6]
13. ? [X0] : (... | 0 |
Everyone who is both kind and old is both not patient and patient.
If someone is not calm or old then someone is either brave or quiet and vice versa.
If someone is both not brave and funny then mary is either wise or kind and vice versa.
If fred is not creative then paul is either not tall or not calm and vice versa.
... | Fred is not old. | entailment | (![X]:((kind(X)&old(X))=>(~patient(X)&patient(X))))&
((?[X]:((~calm(X)|old(X))))<=>(?[X]:((brave(X)<~>quiet(X)))))&
((?[X]:((~brave(X)&funny(X))))<=>((wise(mary)<~>kind(mary))))&
((~creative(fred))<=>((~tall(paul)<~>~calm(paul))))&
((?[X]:((creative(X)|~humble(X))))<=>((kind(fred)&rich(fred))))&
((?[X]:((old(X)|generou... | ~old(fred) | [
"p0",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6669870302561974908973942
% SZS output start Proof for 6669870302561974908973942
1. ! [X0] : ((old(X0) & kind(X0)) => (patient(X0) & ~patient(X0))) [input p0]
5. ? [X0] : (~humble(X0) | creative(X0)) <=> (rich(fred) & kind(fred)) [input p4]
17. ? [X0] : (creative(X0) & calm(X0)) [input p1... | 0 |
Everyone who is not quiet is not generous. If alice is either not rich or brave then someone is either not old or not funny and vice versa. Everyone who is not strong or strong is strong. Everyone who is quiet is patient and vice versa. If paul is either not rich or kind then someone is either creative or not brave and... | Mary is not calm. | neutral | (![X]:(~quiet(X)=>~generous(X)))&
(((~rich(alice)<~>brave(alice)))<=>(?[X]:((~old(X)<~>~funny(X)))))&
(![X]:((~strong(X)|strong(X))=>strong(X)))&
(![X]:(quiet(X)<=>patient(X)))&
(((~rich(paul)<~>kind(paul)))<=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:((old(X)|brave(X))<=>(humble(X)<~>patient(X))))&
(![X]:((wise(X)&ki... | ~calm(mary) | [] | null | 0 |
Everyone who is either not humble or old is either creative or curious and vice versa. If john is not patient or not wise then alice is not tall. Everyone who is either happy or rich is both not curious and generous. Everyone who is either kind or not kind is not tall and vice versa. Everyone who is not calm is either ... | John is not brave. | contradiction | (![X]:((~humble(X)<~>old(X))<=>(creative(X)<~>curious(X))))&
(((~patient(john)|~wise(john)))=>(~tall(alice)))&
(![X]:((happy(X)<~>rich(X))=>(~curious(X)&generous(X))))&
(![X]:((kind(X)<~>~kind(X))<=>~tall(X)))&
(![X]:(~calm(X)=>(calm(X)<~>~rich(X))))&
(![X]:((curious(X)<~>strong(X))=>(~brave(X)<~>~rich(X))))&
(![X]:(ta... | ~brave(john) | [
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2147491019328901780609616
% SZS output start Proof for 2147491019328901780609616
4. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> ~tall(X0)) [input p3]
8. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~brave(X0) | ~old(X0))) [input p7]
16. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0)))... | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | John is rich. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | rich(john) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9011784655843324295269498
% SZS output start Proof for 9011784655843324295269498
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~brave(X0)) <=> ... | 0 |
Everyone who is tall is not creative and vice versa.
Everyone who is both not happy and quiet is not rich or old and vice versa.
Everyone who is either happy or quiet is both not old and generous and vice versa.
Everyone who is generous is both creative and quiet and vice versa.
Everyone who is either humble or quiet i... | Mary is not quiet. | contradiction | (![X]:(tall(X)<=>~creative(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~rich(X)|old(X))))&
(![X]:((happy(X)<~>quiet(X))<=>(~old(X)&generous(X))))&
(![X]:(generous(X)<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>quiet(X))=>funny(X)))&
(![X]:((old(X)&happy(X))<=>(humble(X)|~strong(X))))&
(![X]:(rich(X)=>(~humble(X)<~>~tall(X... | ~quiet(mary) | [
"p0",
"p1",
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1020493799662962315918015
% SZS output start Proof for 1020493799662962315918015
1. ! [X0] : (tall(X0) <=> ~creative(X0)) [input p0]
2. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (old(X0) | ~rich(X0))) [input p1]
3. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (generous(X0) & ~old(X0))) [input p2]... | 0 |
Everyone who is either not happy or funny is not strong or tall and vice versa. If someone is either strong or not brave then paul is not generous or not kind and vice versa. Everyone who is not patient or not creative is both generous and not generous. Everyone who is either not creative or not generous is not rich an... | Paul is not funny. | entailment | (![X]:((~happy(X)<~>funny(X))<=>(~strong(X)|tall(X))))&
((?[X]:((strong(X)<~>~brave(X))))<=>((~generous(paul)|~kind(paul))))&
(![X]:((~patient(X)|~creative(X))=>(generous(X)&~generous(X))))&
(![X]:((~creative(X)<~>~generous(X))<=>~rich(X)))&
(![X]:((curious(X)|creative(X))<=>(~curious(X)&wise(X))))&
((?[X]:(quiet(X)))=... | ~funny(paul) | [
"p2",
"p4",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3495459431838255854220257
% SZS output start Proof for 3495459431838255854220257
3. ! [X0] : ((~creative(X0) | ~patient(X0)) => (~generous(X0) & generous(X0))) [input p2]
5. ! [X0] : ((creative(X0) | curious(X0)) <=> (wise(X0) & ~curious(X0))) [input p4]
7. ! [X0] : ((strong(X0) & ~strong... | 0 |
Everyone who is both strong and not rich is calm or creative and vice versa. If someone is either quiet or not old then paul is both calm and wise and vice versa. Everyone who is tall or calm is either strong or not humble and vice versa. Everyone who is both tall and brave is tall. If someone is not funny then someone... | Susan is funny. | contradiction | (![X]:((strong(X)&~rich(X))<=>(calm(X)|creative(X))))&
((?[X]:((quiet(X)<~>~old(X))))<=>((calm(paul)&wise(paul))))&
(![X]:((tall(X)|calm(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((tall(X)&brave(X))=>tall(X)))&
((?[X]:(~funny(X)))<=>(?[X]:((~wise(X)<~>calm(X)))))&
(![X]:((curious(X)|~wise(X))=>(strong(X)|generous(X))))&
... | funny(susan) | [
"p0",
"p1",
"p2",
"p6",
"p15",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1828308848236733918674508
% SZS output start Proof for 1828308848236733918674508
1. ! [X0] : ((~rich(X0) & strong(X0)) <=> (creative(X0) | calm(X0))) [input p0]
2. ? [X0] : (quiet(X0) <~> ~old(X0)) <=> (wise(paul) & calm(paul)) [input p1]
3. ! [X0] : ((calm(X0) | tall(X0)) <=> (strong(X0)... | 0 |
If someone is both wise and not generous then someone is rich or not rich.
Everyone who is wise is not creative and vice versa.
If someone is both not humble and tall then someone is strong or not wise and vice versa.
If susan is creative then lucy is patient or not calm and vice versa.
Everyone who is either not patie... | Susan is quiet. | neutral | ((?[X]:((wise(X)&~generous(X))))=>(?[X]:((rich(X)|~rich(X)))))&
(![X]:(wise(X)<=>~creative(X)))&
((?[X]:((~humble(X)&tall(X))))<=>(?[X]:((strong(X)|~wise(X)))))&
((creative(susan))<=>((patient(lucy)|~calm(lucy))))&
(![X]:((~patient(X)<~>creative(X))<=>humble(X)))&
(![X]:(~calm(X)=>(humble(X)&~curious(X))))&
(![X]:(~qui... | quiet(susan) | [] | null | 0 |
Everyone who is kind or generous is either not brave or not happy and vice versa.
If someone is funny then lucy is generous.
Everyone who is not generous or creative is not funny and vice versa.
If susan is either brave or not strong then john is both patient and tall and vice versa.
If someone is generous or brave the... | Lucy is not funny. | neutral | (![X]:((kind(X)|generous(X))<=>(~brave(X)<~>~happy(X))))&
((?[X]:(funny(X)))=>(generous(lucy)))&
(![X]:((~generous(X)|creative(X))<=>~funny(X)))&
(((brave(susan)<~>~strong(susan)))<=>((patient(john)&tall(john))))&
((?[X]:((generous(X)|brave(X))))=>(?[X]:(~brave(X))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)|strong(X)))... | ~funny(lucy) | [] | null | 0 |
If someone is not generous or not curious then fred is not wise and vice versa. Everyone who is either not calm or not happy is not calm and vice versa. If someone is not curious then someone is kind or not happy. Everyone who is either not kind or not rich is tall and vice versa. Everyone who is not generous or not ri... | Alice is kind. | neutral | ((?[X]:((~generous(X)|~curious(X))))<=>(~wise(fred)))&
(![X]:((~calm(X)<~>~happy(X))<=>~calm(X)))&
((?[X]:(~curious(X)))=>(?[X]:((kind(X)|~happy(X)))))&
(![X]:((~kind(X)<~>~rich(X))<=>tall(X)))&
(![X]:((~generous(X)|~rich(X))=>curious(X)))&
(((humble(john)<~>kind(john)))=>((~kind(john)<~>~brave(john))))&
(![X]:(~patien... | kind(alice) | [] | null | 0 |
Everyone who is tall or wise is not curious.
If someone is funny or not wise then someone is either not wise or quiet.
If someone is either not calm or curious then someone is either happy or old.
If mary is humble then lucy is curious or creative and vice versa.
Everyone who is wise is either curious or happy.
If some... | Alice is happy. | entailment | (![X]:((tall(X)|wise(X))=>~curious(X)))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
((?[X]:((~calm(X)<~>curious(X))))=>(?[X]:((happy(X)<~>old(X)))))&
((humble(mary))<=>((curious(lucy)|creative(lucy))))&
(![X]:(wise(X)=>(curious(X)<~>happy(X))))&
((?[X]:((~brave(X)<~>~calm(X))))=>(?[X]:((old(X)&rich... | happy(alice) | [
"p0",
"p4",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3208658418191886623676538
% SZS output start Proof for 3208658418191886623676538
1. ! [X0] : ((wise(X0) | tall(X0)) => ~curious(X0)) [input p0]
5. ! [X0] : (wise(X0) => (curious(X0) <~> happy(X0))) [input p4]
13. ! [X0] : (~happy(X0) <=> (~wise(X0) <~> generous(X0))) [input p12]
17. curio... | 0 |
If someone is both brave and patient then someone is both not rich and not funny. Everyone who is old or not kind is either kind or tall and vice versa. If fred is either not calm or generous then someone is not old and vice versa. If someone is both not creative and kind then someone is either tall or old and vice ver... | Lucy is not strong. | contradiction | ((?[X]:((brave(X)&patient(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((old(X)|~kind(X))<=>(kind(X)<~>tall(X))))&
(((~calm(fred)<~>generous(fred)))<=>(?[X]:(~old(X))))&
((?[X]:((~creative(X)&kind(X))))<=>(?[X]:((tall(X)<~>old(X)))))&
(((~tall(lucy)|old(lucy)))=>((calm(lucy)&wise(lucy))))&
(![X]:((~kind(X)<~>humble(X))... | ~strong(lucy) | [
"p4",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8438109119607217520512670
% SZS output start Proof for 8438109119607217520512670
5. (old(lucy) | ~tall(lucy)) => (wise(lucy) & calm(lucy)) [input p4]
8. (~strong(lucy) & happy(lucy)) => (funny(john) & rich(john)) [input p7]
10. ! [X0] : (~tall(X0) => (humble(X0) & ~wise(X0))) [input p9]
1... | 0 |
If someone is happy or strong then someone is either not calm or not wise and vice versa. If paul is either creative or not generous then someone is not strong. If someone is happy or not wise then someone is not strong and vice versa. Everyone who is strong or not generous is both not wise and not patient. If someone ... | Paul is tall. | entailment | ((?[X]:((happy(X)|strong(X))))<=>(?[X]:((~calm(X)<~>~wise(X)))))&
(((creative(paul)<~>~generous(paul)))=>(?[X]:(~strong(X))))&
((?[X]:((happy(X)|~wise(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)|~generous(X))=>(~wise(X)&~patient(X))))&
((?[X]:((~creative(X)|~funny(X))))<=>(tall(paul)))&
(((old(susan)<~>~quiet(susan... | tall(paul) | [
"p4",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 460841512253787003390734
% SZS output start Proof for 460841512253787003390734
5. ? [X0] : (~funny(X0) | ~creative(X0)) <=> tall(paul) [input p4]
10. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (~curious(X0) | patient(X0))) [input p9]
16. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => (patient... | 0 |
Everyone who is both curious and not humble is not kind or not patient and vice versa. Everyone who is both not wise and brave is either not wise or wise and vice versa. Everyone who is happy or quiet is not funny and vice versa. If john is both not creative and not brave then someone is humble and vice versa. Everyone... | John is kind. | contradiction | (![X]:((curious(X)&~humble(X))<=>(~kind(X)|~patient(X))))&
(![X]:((~wise(X)&brave(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((happy(X)|quiet(X))<=>~funny(X)))&
(((~creative(john)&~brave(john)))<=>(?[X]:(humble(X))))&
(![X]:((~creative(X)&~strong(X))=>(~generous(X)&brave(X))))&
(![X]:((kind(X)<~>wise(X))=>(~wise(X)&patient(X)... | kind(john) | [
"p0",
"p1",
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9025790644306450133683823
% SZS output start Proof for 9025790644306450133683823
1. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~patient(X0) | ~kind(X0))) [input p0]
2. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (~wise(X0) <~> wise(X0))) [input p1]
4. (~brave(john) & ~creative(john)) <=> ? [X0]... | 0 |
Everyone who is either rich or old is either not wise or wise.
Everyone who is both kind and not quiet is old or not quiet.
Everyone who is not creative or not kind is generous or creative.
If fred is either not curious or not calm then paul is not old or quiet.
If someone is either wise or humble then mary is tall or ... | Fred is calm. | neutral | (![X]:((rich(X)<~>old(X))=>(~wise(X)<~>wise(X))))&
(![X]:((kind(X)&~quiet(X))=>(old(X)|~quiet(X))))&
(![X]:((~creative(X)|~kind(X))=>(generous(X)|creative(X))))&
(((~curious(fred)<~>~calm(fred)))=>((~old(paul)|quiet(paul))))&
((?[X]:((wise(X)<~>humble(X))))=>((tall(mary)|~happy(mary))))&
(![X]:((~quiet(X)<~>creative(X)... | calm(fred) | [] | null | 0 |
Everyone who is both not rich and not generous is both not kind and wise and vice versa. If someone is happy then paul is both happy and not patient. If someone is both not patient and not curious then lucy is both not brave and quiet and vice versa. Everyone who is either wise or brave is not humble or brave and vice ... | Paul is happy. | contradiction | (![X]:((~rich(X)&~generous(X))<=>(~kind(X)&wise(X))))&
((?[X]:(happy(X)))=>((happy(paul)&~patient(paul))))&
((?[X]:((~patient(X)&~curious(X))))<=>((~brave(lucy)&quiet(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~humble(X)|brave(X))))&
(![X]:((curious(X)&humble(X))=>(~happy(X)&brave(X))))&
(![X]:((~humble(X)&~happy(X))<=>~... | happy(paul) | [
"p1",
"p2",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8009365498622778903660597
% SZS output start Proof for 8009365498622778903660597
2. ? [X0] : happy(X0) => (~patient(paul) & happy(paul)) [input p1]
3. ? [X0] : (~curious(X0) & ~patient(X0)) <=> (quiet(lucy) & ~brave(lucy)) [input p2]
6. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> ~brave(X0))... | 0 |
If mary is not old or patient then fred is curious and vice versa. Everyone who is quiet is either not generous or generous and vice versa. Everyone who is both old and kind is humble. Everyone who is both strong and funny is humble and vice versa. Everyone who is either happy or not quiet is either happy or calm and v... | Fred is not quiet. | contradiction | (((~old(mary)|patient(mary)))<=>(curious(fred)))&
(![X]:(quiet(X)<=>(~generous(X)<~>generous(X))))&
(![X]:((old(X)&kind(X))=>humble(X)))&
(![X]:((strong(X)&funny(X))<=>humble(X)))&
(![X]:((happy(X)<~>~quiet(X))<=>(happy(X)<~>calm(X))))&
(![X]:((~humble(X)&brave(X))<=>(curious(X)<~>~calm(X))))&
(![X]:((~calm(X)|quiet(X)... | ~quiet(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3209472982995120409506983
% SZS output start Proof for 3209472982995120409506983
2. ! [X0] : (quiet(X0) <=> (~generous(X0) <~> generous(X0))) [input p1]
23. ~quiet(fred) [input hypothesis]
38. ! [X0] : ((quiet(X0) | ((~generous(X0) | ~generous(X0)) & (generous(X0) | generous(X0)))) & (((~... | 0 |
If someone is both not humble and not kind then fred is old and vice versa.
If alice is kind or not strong then paul is both old and not creative and vice versa.
If someone is wise then someone is both not kind and not quiet and vice versa.
If someone is not patient then alice is not generous and vice versa.
Everyone w... | Fred is creative. | neutral | ((?[X]:((~humble(X)&~kind(X))))<=>(old(fred)))&
(((kind(alice)|~strong(alice)))<=>((old(paul)&~creative(paul))))&
((?[X]:(wise(X)))<=>(?[X]:((~kind(X)&~quiet(X)))))&
((?[X]:(~patient(X)))<=>(~generous(alice)))&
(![X]:((~patient(X)|rich(X))=>(~rich(X)&~old(X))))&
(![X]:(patient(X)=>(patient(X)<~>kind(X))))&
(![X]:((crea... | creative(fred) | [] | null | 0 |
If john is either curious or not strong then lucy is brave.
If paul is rich then someone is both not creative and kind.
Everyone who is creative or not patient is not humble or not patient.
Everyone who is both not quiet and not kind is not curious and vice versa.
Everyone who is both generous and wise is not generous.... | Lucy is not generous. | neutral | (((curious(john)<~>~strong(john)))=>(brave(lucy)))&
((rich(paul))=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((creative(X)|~patient(X))=>(~humble(X)|~patient(X))))&
(![X]:((~quiet(X)&~kind(X))<=>~curious(X)))&
(![X]:((generous(X)&wise(X))=>~generous(X)))&
((?[X]:(~rich(X)))<=>((~humble(lucy)|~wise(lucy))))&
(![X]:((gener... | ~generous(lucy) | [] | null | 0 |
Everyone who is rich or not quiet is brave or not old and vice versa.
If someone is old then someone is both brave and not brave and vice versa.
Everyone who is tall or not rich is patient.
Everyone who is either rich or brave is both not generous and not creative and vice versa.
If susan is not quiet or not funny then... | Mary is not generous. | neutral | (![X]:((rich(X)|~quiet(X))<=>(brave(X)|~old(X))))&
((?[X]:(old(X)))<=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((tall(X)|~rich(X))=>patient(X)))&
(![X]:((rich(X)<~>brave(X))<=>(~generous(X)&~creative(X))))&
(((~quiet(susan)|~funny(susan)))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~generous(X)|generous(X))<=>(~brave(X)... | ~generous(mary) | [] | null | 0 |
If fred is both not old and humble then mary is either happy or not patient and vice versa.
If someone is not quiet or strong then someone is old or not generous and vice versa.
If someone is both not humble and not quiet then someone is brave or patient.
If someone is not brave then someone is either humble or rich.
I... | Mary is rich. | entailment | (((~old(fred)&humble(fred)))<=>((happy(mary)<~>~patient(mary))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((~humble(X)&~quiet(X))))=>(?[X]:((brave(X)|patient(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((humble(X)<~>rich(X)))))&
(((~creative(susan)<~>~old(susan)))<=>(?[X]:((rich(X)&~patient(X))... | rich(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5774400812866255245386021
% SZS output start Proof for 5774400812866255245386021
12. (~generous(paul) & generous(paul)) <=> ? [X0] : (kind(X0) | ~rich(X0)) [input p11]
21. ~rich(mary) [input hypothesis]
62. ((~generous(paul) & generous(paul)) | ! [X0] : (~kind(X0) & rich(X0))) & (? [X0] :... | 0 |
Everyone who is not strong is not patient and vice versa. Everyone who is not old or not creative is both generous and not strong. Everyone who is both wise and strong is not funny and vice versa. Everyone who is not happy or creative is both curious and quiet and vice versa. Everyone who is either not happy or not cal... | John is not creative. | contradiction | (![X]:(~strong(X)<=>~patient(X)))&
(![X]:((~old(X)|~creative(X))=>(generous(X)&~strong(X))))&
(![X]:((wise(X)&strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|creative(X))<=>(curious(X)&quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>brave(X)))&
(((~funny(lucy)<~>~curious(lucy)))=>((funny(susan)&strong(susan))))&
(![X]:((~stron... | ~creative(john) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4172222712363249987911818
% SZS output start Proof for 4172222712363249987911818
1. ! [X0] : (~strong(X0) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~old(X0)) => (~strong(X0) & generous(X0))) [input p1]
3. ! [X0] : ((strong(X0) & wise(X0)) <=> ~funny(X0)) [input p2]
7. ! [... | 0 |
Everyone who is either not creative or not funny is not humble or rich.
Everyone who is not calm is either quiet or not brave and vice versa.
Everyone who is not tall is both not creative and not humble.
If someone is not kind then someone is both not rich and old and vice versa.
If someone is both not brave and kind t... | Paul is funny. | contradiction | (![X]:((~creative(X)<~>~funny(X))=>(~humble(X)|rich(X))))&
(![X]:(~calm(X)<=>(quiet(X)<~>~brave(X))))&
(![X]:(~tall(X)=>(~creative(X)&~humble(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~rich(X)&old(X)))))&
((?[X]:((~brave(X)&kind(X))))=>(?[X]:((~rich(X)<~>~brave(X)))))&
(((quiet(alice)<~>rich(alice)))<=>(?[X]:(generous(X))))&... | funny(paul) | [
"p2",
"p8",
"p9",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5854092358757271745583318
% SZS output start Proof for 5854092358757271745583318
3. ! [X0] : (~tall(X0) => (~humble(X0) & ~creative(X0))) [input p2]
9. ? [X0] : ~tall(X0) <=> (patient(paul) & brave(paul)) [input p8]
10. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> (patient(X0) & strong(X0))) ... | 0 |
If someone is both not kind and creative then someone is old or kind and vice versa.
If someone is either not patient or strong then someone is not humble.
Everyone who is not funny or happy is either not kind or strong.
Everyone who is both happy and tall is either not kind or old and vice versa.
Everyone who is not b... | Paul is rich. | entailment | ((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((old(X)|kind(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~funny(X)|happy(X))=>(~kind(X)<~>strong(X))))&
(![X]:((happy(X)&tall(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~brave(X)=>~calm(X)))&
(![X]:(tall(X)<=>(rich(X)|wise(X))))&
((?[X]:((humble(X)|quiet... | rich(paul) | [
"p0",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9148932456338158379222750
% SZS output start Proof for 9148932456338158379222750
1. ? [X0] : (creative(X0) & ~kind(X0)) <=> ? [X0] : (kind(X0) | old(X0)) [input p0]
15. ? [X0] : creative(X0) <=> (rich(paul) & brave(paul)) [input p14]
20. ? [X0] : old(X0) [input p19]
24. ~rich(paul) [input... | 0 |
Everyone who is either not rich or wise is not wise or not calm and vice versa.
Everyone who is wise is calm or not strong.
Everyone who is not quiet is either strong or rich.
If someone is both quiet and not humble then someone is quiet.
Everyone who is either quiet or not funny is not humble and vice versa.
If someon... | John is strong. | entailment | (![X]:((~rich(X)<~>wise(X))<=>(~wise(X)|~calm(X))))&
(![X]:(wise(X)=>(calm(X)|~strong(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>rich(X))))&
((?[X]:((quiet(X)&~humble(X))))=>(?[X]:(quiet(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>~humble(X)))&
((?[X]:(kind(X)))<=>(?[X]:((happy(X)<~>~kind(X)))))&
(![X]:((humble(X)<~>tall(X))<=>(... | strong(john) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8681180706866446705462701
% SZS output start Proof for 8681180706866446705462701
1. ! [X0] : ((~rich(X0) <~> wise(X0)) <=> (~calm(X0) | ~wise(X0))) [input p0]
3. ! [X0] : (~quiet(X0) => (strong(X0) <~> rich(X0))) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> ~humble(X0)) [input p... | 0 |
Everyone who is both tall and not calm is both not creative and calm and vice versa.
Everyone who is both generous and not wise is either quiet or curious and vice versa.
If someone is either not old or not creative then fred is generous or patient and vice versa.
Everyone who is not humble or not wise is not humble or... | Susan is not strong. | entailment | (![X]:((tall(X)&~calm(X))<=>(~creative(X)&calm(X))))&
(![X]:((generous(X)&~wise(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:((~old(X)<~>~creative(X))))<=>((generous(fred)|patient(fred))))&
(![X]:((~humble(X)|~wise(X))<=>(~humble(X)|~kind(X))))&
(![X]:(~wise(X)<=>~brave(X)))&
(![X]:((~brave(X)|kind(X))<=>~humble(X)))&
(![X]... | ~strong(susan) | [
"p0",
"p1",
"p8",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4481486190027570568297457
% SZS output start Proof for 4481486190027570568297457
1. ! [X0] : ((~calm(X0) & tall(X0)) <=> (calm(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & generous(X0)) <=> (quiet(X0) <~> curious(X0))) [input p1]
9. ! [X0] : (strong(X0) <=> ~creative(X0)) [i... | 0 |
If someone is not wise then someone is not brave or kind.
If fred is tall then someone is not curious and vice versa.
Everyone who is both not brave and happy is funny or calm.
If susan is both not funny and brave then someone is curious and vice versa.
If mary is either not humble or not creative then someone is eithe... | Paul is not curious. | entailment | ((?[X]:(~wise(X)))=>(?[X]:((~brave(X)|kind(X)))))&
((tall(fred))<=>(?[X]:(~curious(X))))&
(![X]:((~brave(X)&happy(X))=>(funny(X)|calm(X))))&
(((~funny(susan)&brave(susan)))<=>(?[X]:(curious(X))))&
(((~humble(mary)<~>~creative(mary)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
(![X]:((humble(X)<~>calm(X))=>(happy(X)<~>old(X)... | ~curious(paul) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9144730538948176062506230
% SZS output start Proof for 9144730538948176062506230
10. ! [X0] : ((~kind(X0) | happy(X0)) => ~curious(X0)) [input p9]
18. curious(paul) <~> ~happy(paul) [input p17]
25. curious(paul) [input hypothesis]
35. ! [X0] : (~curious(X0) | (kind(X0) & ~happy(X0))) [enn... | 0 |
Everyone who is both not kind and not patient is either creative or old.
Everyone who is both tall and not wise is both not funny and wise and vice versa.
Everyone who is either wise or not brave is both not kind and not old and vice versa.
If john is not calm or not generous then someone is either strong or brave.
If ... | Lucy is not brave. | neutral | (![X]:((~kind(X)&~patient(X))=>(creative(X)<~>old(X))))&
(![X]:((tall(X)&~wise(X))<=>(~funny(X)&wise(X))))&
(![X]:((wise(X)<~>~brave(X))<=>(~kind(X)&~old(X))))&
(((~calm(john)|~generous(john)))=>(?[X]:((strong(X)<~>brave(X)))))&
(((~brave(lucy)|~happy(lucy)))=>(~happy(fred)))&
(((rich(susan)&~old(susan)))<=>((~rich(sus... | ~brave(lucy) | [] | null | 0 |
Everyone who is both calm and not funny is humble or not generous and vice versa. Everyone who is either funny or happy is not patient. If susan is not happy then someone is not brave or wise. If someone is both humble and creative then lucy is old or brave and vice versa. If someone is either brave or not humble then ... | Fred is old. | neutral | (![X]:((calm(X)&~funny(X))<=>(humble(X)|~generous(X))))&
(![X]:((funny(X)<~>happy(X))=>~patient(X)))&
((~happy(susan))=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((humble(X)&creative(X))))<=>((old(lucy)|brave(lucy))))&
((?[X]:((brave(X)<~>~humble(X))))<=>((tall(lucy)<~>creative(lucy))))&
((?[X]:(~old(X)))<=>(~humble(fred))... | old(fred) | [] | null | 0 |
Everyone who is generous is both not calm and not rich. If john is either not creative or calm then someone is not strong. Everyone who is both not old and not creative is both brave and not strong. If someone is either happy or generous then lucy is either funny or not creative. If someone is both not tall and calm th... | Mary is curious. | contradiction | (![X]:(generous(X)=>(~calm(X)&~rich(X))))&
(((~creative(john)<~>calm(john)))=>(?[X]:(~strong(X))))&
(![X]:((~old(X)&~creative(X))=>(brave(X)&~strong(X))))&
((?[X]:((happy(X)<~>generous(X))))=>((funny(lucy)<~>~creative(lucy))))&
((?[X]:((~tall(X)&calm(X))))=>(curious(mary)))&
((~creative(lucy))<=>(quiet(john)))&
(![X]:(... | curious(mary) | [
"p6",
"p8",
"p11",
"p12",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5287255189727831915683122
% SZS output start Proof for 5287255189727831915683122
7. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (rich(X0) | ~curious(X0))) [input p6]
9. ! [X0] : ((~funny(X0) | ~old(X0)) => (wise(X0) & funny(X0))) [input p8]
12. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (curio... | 0 |
Everyone who is strong is both curious and not quiet and vice versa.
If someone is old or not old then someone is quiet and vice versa.
Everyone who is not funny or not rich is both humble and not curious and vice versa.
If someone is not creative or strong then mary is not strong or not funny and vice versa.
Everyone ... | Paul is not kind. | contradiction | (![X]:(strong(X)<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(humble(X)&~curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>((~strong(mary)|~funny(mary))))&
(![X]:((happy(X)<~>wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>~funny(X... | ~kind(paul) | [
"p0",
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8411620244843849027507549
% SZS output start Proof for 8411620244843849027507549
1. ! [X0] : (strong(X0) <=> (~quiet(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) & humble(X0))) [input p2]
7. ! [X0] : (~strong(X0) <=> (kind(X0) & creative(X0))) [in... | 0 |
Everyone who is either not wise or not rich is both quiet and generous and vice versa.
If someone is not tall or generous then paul is either not happy or humble.
If someone is either not creative or kind then paul is not funny or not wise and vice versa.
Everyone who is either not quiet or not wise is either wise or c... | Mary is not rich. | entailment | (![X]:((~wise(X)<~>~rich(X))<=>(quiet(X)&generous(X))))&
((?[X]:((~tall(X)|generous(X))))=>((~happy(paul)<~>humble(paul))))&
((?[X]:((~creative(X)<~>kind(X))))<=>((~funny(paul)|~wise(paul))))&
(![X]:((~quiet(X)<~>~wise(X))=>(wise(X)<~>creative(X))))&
(![X]:((kind(X)|wise(X))<=>(rich(X)|brave(X))))&
(![X]:((~happy(X)|wi... | ~rich(mary) | [
"p0",
"p5",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6791329123934794586986285
% SZS output start Proof for 6791329123934794586986285
1. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (generous(X0) & quiet(X0))) [input p0]
6. ! [X0] : ((wise(X0) | ~happy(X0)) => ~creative(X0)) [input p5]
8. ! [X0] : (quiet(X0) => (~funny(X0) <~> ~quiet(X0))) [inpu... | 0 |
Everyone who is strong is either not tall or not brave and vice versa.
Everyone who is generous or kind is tall and vice versa.
Everyone who is either not calm or creative is either not happy or strong and vice versa.
If alice is kind or rich then someone is not calm or patient and vice versa.
Everyone who is either no... | Paul is old. | contradiction | (![X]:(strong(X)<=>(~tall(X)<~>~brave(X))))&
(![X]:((generous(X)|kind(X))<=>tall(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~happy(X)<~>strong(X))))&
(((kind(alice)|rich(alice)))<=>(?[X]:((~calm(X)|patient(X)))))&
(![X]:((~kind(X)<~>generous(X))=>~strong(X)))&
(((wise(mary)|~rich(mary)))=>(?[X]:((~funny(X)<~>~humble(X)))... | old(paul) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 213756164230377452831929
% SZS output start Proof for 213756164230377452831929
12. ! [X0] : (old(X0) => kind(X0)) [input p11]
17. ~kind(paul) & ~strong(paul) [input p16]
25. old(paul) [input hypothesis]
35. ! [X0] : (kind(X0) | ~old(X0)) [ennf transformation 12]
116. ~old(X0) | kind(X0) [... | 0 |
Everyone who is not tall or brave is not brave.
Everyone who is not wise or not happy is not kind or not funny.
Everyone who is either generous or not wise is either humble or not tall and vice versa.
If susan is both not strong and not brave then lucy is both not kind and brave and vice versa.
If mary is not rich or k... | Susan is strong. | entailment | (![X]:((~tall(X)|brave(X))=>~brave(X)))&
(![X]:((~wise(X)|~happy(X))=>(~kind(X)|~funny(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(humble(X)<~>~tall(X))))&
(((~strong(susan)&~brave(susan)))<=>((~kind(lucy)&brave(lucy))))&
(((~rich(mary)|kind(mary)))=>(?[X]:((~funny(X)|wise(X)))))&
((?[X]:((~humble(X)|patient(X))))=>((tal... | strong(susan) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 65083569207554348181686
% SZS output start Proof for 65083569207554348181686
1. ! [X0] : ((brave(X0) | ~tall(X0)) => ~brave(X0)) [input p0]
4. (~brave(susan) & ~strong(susan)) <=> (brave(lucy) & ~kind(lucy)) [input p3]
21. ~strong(susan) [input hypothesis]
22. ! [X0] : (~brave(X0) | (~bra... | 0 |
If fred is either happy or not tall then john is either not creative or not old and vice versa. Everyone who is not patient is both not quiet and strong and vice versa. If someone is not old then john is either not brave or calm. If someone is both not brave and not happy then someone is either not creative or curious ... | Mary is not tall. | entailment | (((happy(fred)<~>~tall(fred)))<=>((~creative(john)<~>~old(john))))&
(![X]:(~patient(X)<=>(~quiet(X)&strong(X))))&
((?[X]:(~old(X)))=>((~brave(john)<~>calm(john))))&
((?[X]:((~brave(X)&~happy(X))))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(((~old(paul)|~patient(paul)))=>((~wise(alice)<~>funny(alice))))&
((?[X]:(tall(X))... | ~tall(mary) | [
"p5",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2680321251777523796328478
% SZS output start Proof for 2680321251777523796328478
6. ? [X0] : tall(X0) => (calm(john) & ~curious(john)) [input p5]
15. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~old(X0) & ~tall(X0))) [input p14]
20. old(john) & rich(john) [input p19]
22. tall(mary) [input hy... | 0 |
If paul is not brave then someone is not kind or tall and vice versa.
If someone is both generous and funny then alice is creative or not patient and vice versa.
Everyone who is either not kind or not quiet is either not calm or not wise.
Everyone who is either funny or old is brave or not rich and vice versa.
Everyone... | Alice is not curious. | neutral | ((~brave(paul))<=>(?[X]:((~kind(X)|tall(X)))))&
((?[X]:((generous(X)&funny(X))))<=>((creative(alice)|~patient(alice))))&
(![X]:((~kind(X)<~>~quiet(X))=>(~calm(X)<~>~wise(X))))&
(![X]:((funny(X)<~>old(X))<=>(brave(X)|~rich(X))))&
(![X]:((quiet(X)&kind(X))<=>brave(X)))&
(![X]:((~humble(X)<~>~creative(X))=>(~kind(X)&kind(... | ~curious(alice) | [] | null | 0 |
Everyone who is not kind is either funny or not funny and vice versa.
Everyone who is either creative or not quiet is both humble and wise.
Everyone who is not rich or not generous is either not funny or happy.
Everyone who is not creative or funny is both happy and not patient and vice versa.
If fred is not funny or n... | Mary is not curious. | neutral | (![X]:(~kind(X)<=>(funny(X)<~>~funny(X))))&
(![X]:((creative(X)<~>~quiet(X))=>(humble(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~funny(X)<~>happy(X))))&
(![X]:((~creative(X)|funny(X))<=>(happy(X)&~patient(X))))&
(((~funny(fred)|~quiet(fred)))<=>(?[X]:(~patient(X))))&
(![X]:((~kind(X)&~brave(X))<=>(generous(X)&~ge... | ~curious(mary) | [] | null | 0 |
If someone is funny or strong then someone is not humble or humble and vice versa.
If someone is wise or humble then someone is both not strong and patient and vice versa.
Everyone who is both quiet and calm is either curious or patient and vice versa.
Everyone who is either patient or wise is not funny.
Everyone who i... | Mary is not quiet. | entailment | ((?[X]:((funny(X)|strong(X))))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:((wise(X)|humble(X))))<=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((quiet(X)&calm(X))<=>(curious(X)<~>patient(X))))&
(![X]:((patient(X)<~>wise(X))=>~funny(X)))&
(![X]:(quiet(X)=>(curious(X)&~curious(X))))&
(![X]:((~brave(X)&~generous(X))<=>(stron... | ~quiet(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7447412850906298966569717
% SZS output start Proof for 7447412850906298966569717
5. ! [X0] : (quiet(X0) => (~curious(X0) & curious(X0))) [input p4]
24. quiet(mary) [input hypothesis]
34. ! [X0] : ((~curious(X0) & curious(X0)) | ~quiet(X0)) [ennf transformation 5]
101. curious(X0) | ~quiet... | 0 |
Everyone who is not calm or funny is both not funny and rich.
Everyone who is either funny or creative is not rich and vice versa.
If mary is strong then someone is both not calm and creative.
If fred is rich or not funny then someone is either not kind or not tall.
If someone is either tall or not kind then someone is... | Susan is kind. | neutral | (![X]:((~calm(X)|funny(X))=>(~funny(X)&rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>~rich(X)))&
((strong(mary))=>(?[X]:((~calm(X)&creative(X)))))&
(((rich(fred)|~funny(fred)))=>(?[X]:((~kind(X)<~>~tall(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>(?[X]:(generous(X))))&
((~generous(susan))<=>((~strong(susan)<~>~patient(susa... | kind(susan) | [] | null | 0 |
If someone is not brave then mary is both happy and creative and vice versa. Everyone who is either not old or not funny is either not strong or not wise and vice versa. Everyone who is either calm or not strong is both old and creative. Everyone who is not strong or quiet is both quiet and old. If someone is not rich ... | Fred is not patient. | entailment | ((?[X]:(~brave(X)))<=>((happy(mary)&creative(mary))))&
(![X]:((~old(X)<~>~funny(X))<=>(~strong(X)<~>~wise(X))))&
(![X]:((calm(X)<~>~strong(X))=>(old(X)&creative(X))))&
(![X]:((~strong(X)|quiet(X))=>(quiet(X)&old(X))))&
((?[X]:(~rich(X)))=>((tall(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~quiet(X))<=>(~tall(X)&kind(X))))&
... | ~patient(fred) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1705425560670051619593480
% SZS output start Proof for 1705425560670051619593480
13. ! [X0] : (patient(X0) => tall(X0)) [input p12]
19. ~creative(fred) & ~tall(fred) [input p18]
25. patient(fred) [input hypothesis]
36. ! [X0] : (tall(X0) | ~patient(X0)) [ennf transformation 13]
111. ~pati... | 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... | Alice is old. | 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... | old(alice) | [] | null | 0 |
Everyone who is both creative and not rich is tall. Everyone who is both old and brave is both old and not wise and vice versa. Everyone who is wise or not quiet is not funny or not creative and vice versa. Everyone who is either not happy or kind is old or not strong and vice versa. If susan is both creative and rich ... | John is not old. | neutral | (![X]:((creative(X)&~rich(X))=>tall(X)))&
(![X]:((old(X)&brave(X))<=>(old(X)&~wise(X))))&
(![X]:((wise(X)|~quiet(X))<=>(~funny(X)|~creative(X))))&
(![X]:((~happy(X)<~>kind(X))<=>(old(X)|~strong(X))))&
(((creative(susan)&rich(susan)))=>(?[X]:((~creative(X)<~>tall(X)))))&
((?[X]:((wise(X)<~>~strong(X))))=>((tall(mary)|pa... | ~old(john) | [] | null | 0 |
Everyone who is wise is both generous and quiet and vice versa.
If someone is patient or not brave then lucy is both patient and not brave.
Everyone who is generous is not tall and vice versa.
If someone is both wise and creative then someone is either patient or not old.
Everyone who is either not old or generous is b... | Fred is not rich. | entailment | (![X]:(wise(X)<=>(generous(X)&quiet(X))))&
((?[X]:((patient(X)|~brave(X))))=>((patient(lucy)&~brave(lucy))))&
(![X]:(generous(X)<=>~tall(X)))&
((?[X]:((wise(X)&creative(X))))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:((~old(X)<~>generous(X))<=>(rich(X)&brave(X))))&
((old(lucy))=>((~quiet(john)|quiet(john))))&
(((~funny(... | ~rich(fred) | [
"p1",
"p2",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2123730892709851984805885
% SZS output start Proof for 2123730892709851984805885
2. ? [X0] : (~brave(X0) | patient(X0)) => (~brave(lucy) & patient(lucy)) [input p1]
3. ! [X0] : (generous(X0) <=> ~tall(X0)) [input p2]
9. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (curious(X0) | ~brave(X0)))... | 0 |
If someone is either brave or not funny then paul is not kind and vice versa. If lucy is either not creative or tall then someone is either not old or generous. If someone is either not strong or not calm then someone is curious or calm and vice versa. Everyone who is either not patient or kind is both kind and not kin... | Mary is humble. | entailment | ((?[X]:((brave(X)<~>~funny(X))))<=>(~kind(paul)))&
(((~creative(lucy)<~>tall(lucy)))=>(?[X]:((~old(X)<~>generous(X)))))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((curious(X)|calm(X)))))&
(![X]:((~patient(X)<~>kind(X))<=>(kind(X)&~kind(X))))&
((?[X]:((~tall(X)|~curious(X))))<=>((~funny(susan)|humble(susan))))&
(![X]:(... | humble(mary) | [
"p6",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5645465688566478693584084
% SZS output start Proof for 5645465688566478693584084
7. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (~funny(X0) | ~creative(X0))) [input p6]
11. funny(fred) <=> (~wise(mary) | ~calm(mary)) [input p10]
12. ! [X0] : (~creative(X0) => (rich(X0) & ~funny(X0))) [input... | 0 |
Everyone who is happy or not old is both not patient and not funny.
Everyone who is both not generous and not humble is happy or quiet and vice versa.
Everyone who is quiet is both not brave and old and vice versa.
If john is patient or not quiet then someone is both patient and not generous and vice versa.
Everyone wh... | Susan is humble. | neutral | (![X]:((happy(X)|~old(X))=>(~patient(X)&~funny(X))))&
(![X]:((~generous(X)&~humble(X))<=>(happy(X)|quiet(X))))&
(![X]:(quiet(X)<=>(~brave(X)&old(X))))&
(((patient(john)|~quiet(john)))<=>(?[X]:((patient(X)&~generous(X)))))&
(![X]:((~quiet(X)&~happy(X))<=>(generous(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~rich(X)&~gener... | humble(susan) | [] | null | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then mary is both creative and brave.
If someone is generous then alice is tall or not tall.
If john is not rich then someone is patient.
Everyone who is either not old or rich is both no... | Alice is strong. | contradiction | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>((creative(mary)&brave(mary))))&
((?[X]:(generous(X)))=>((tall(alice)|~tall(alice))))&
((~rich(john))=>(?[X]:(patient(X))))&
(![X]:((~old(X)<~>rich(X))<=>(~strong(X)&~calm(X))))&
((?[X]:((~funny(X)<~>~creative(X))))=>((brave... | strong(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1886774213241834458999778
% SZS output start Proof for 1886774213241834458999778
9. ! [X0] : (strong(X0) <=> (old(X0) & ~kind(X0))) [input p8]
12. ! [X0] : (old(X0) => (strong(X0) & ~strong(X0))) [input p11]
24. strong(alice) [input hypothesis]
35. ! [X0] : ((strong(X0) & ~strong(X0)) | ~... | 0 |
Everyone who is generous is not quiet or not kind and vice versa.
Everyone who is kind or not happy is not quiet and vice versa.
If john is both not rich and not generous then john is either not creative or curious.
Everyone who is kind is not curious and vice versa.
Everyone who is not tall or curious is both not calm... | Lucy is not calm. | entailment | (![X]:(generous(X)<=>(~quiet(X)|~kind(X))))&
(![X]:((kind(X)|~happy(X))<=>~quiet(X)))&
(((~rich(john)&~generous(john)))=>((~creative(john)<~>curious(john))))&
(![X]:(kind(X)<=>~curious(X)))&
(![X]:((~tall(X)|curious(X))=>(~calm(X)&~funny(X))))&
((?[X]:(~creative(X)))=>((~quiet(paul)&~strong(paul))))&
((?[X]:((tall(X)&r... | ~calm(lucy) | [
"p0",
"p1",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8909657251254610627756977
% SZS output start Proof for 8909657251254610627756977
1. ! [X0] : (generous(X0) <=> (~kind(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | kind(X0)) <=> ~quiet(X0)) [input p1]
13. ! [X0] : ((calm(X0) & generous(X0)) => quiet(X0)) [input p12]
14. ! [X0] ... | 0 |
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