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 mary is both generous and brave then alice is not wise or not kind and vice versa.
If someone is both not rich and quiet then paul is old and vice versa.
Everyone who is both not funny and not humble is both not strong and wise and vice versa.
If someone is both strong and not generous then someone is not patient or... | Susan is not tall. | contradiction | (((generous(mary)&brave(mary)))<=>((~wise(alice)|~kind(alice))))&
((?[X]:((~rich(X)&quiet(X))))<=>(old(paul)))&
(![X]:((~funny(X)&~humble(X))<=>(~strong(X)&wise(X))))&
((?[X]:((strong(X)&~generous(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((~strong(X)<~>~quiet(X))<=>strong(X)))&
(![X]:((calm(X)|~wise(X))<=>(~wise... | ~tall(susan) | [
"p2",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4681549830047995020274045
% SZS output start Proof for 4681549830047995020274045
3. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (wise(X0) & ~strong(X0))) [input p2]
6. ! [X0] : ((~wise(X0) | calm(X0)) <=> (strong(X0) | ~wise(X0))) [input p5]
8. ! [X0] : ((creative(X0) & wise(X0)) <=> (tall(X... | 0 |
If someone is both kind and not curious then someone is both not wise and not calm and vice versa. If paul is generous or humble then mary is either not generous or calm. If someone is not funny or not kind then mary is not humble or not tall and vice versa. If someone is tall then someone is either not tall or not qui... | Mary is not humble. | neutral | ((?[X]:((kind(X)&~curious(X))))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((generous(paul)|humble(paul)))=>((~generous(mary)<~>calm(mary))))&
((?[X]:((~funny(X)|~kind(X))))<=>((~humble(mary)|~tall(mary))))&
((?[X]:(tall(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((~curious(X)&creative(X))=>(calm(X)<~>funny(X))))&
(![X]:((h... | ~humble(mary) | [] | null | 0 |
Everyone who is not tall or generous is both not wise and tall. Everyone who is tall or not rich is both strong and not generous. If someone is not old or generous then lucy is patient. If someone is both not humble and not funny then john is creative or wise and vice versa. Everyone who is both patient and old is pati... | Lucy is generous. | contradiction | (![X]:((~tall(X)|generous(X))=>(~wise(X)&tall(X))))&
(![X]:((tall(X)|~rich(X))=>(strong(X)&~generous(X))))&
((?[X]:((~old(X)|generous(X))))=>(patient(lucy)))&
((?[X]:((~humble(X)&~funny(X))))<=>((creative(john)|wise(john))))&
(![X]:((patient(X)&old(X))=>(patient(X)|~wise(X))))&
(![X]:((~generous(X)|~wise(X))<=>quiet(X)... | generous(lucy) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3826000624131522775199305
% SZS output start Proof for 3826000624131522775199305
1. ! [X0] : ((generous(X0) | ~tall(X0)) => (tall(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((~rich(X0) | tall(X0)) => (~generous(X0) & strong(X0))) [input p1]
25. generous(lucy) [input hypothesis]
27. ! [X0] :... | 0 |
If someone is not generous then susan is both wise and not curious and vice versa.
Everyone who is not kind is humble.
Everyone who is patient is not generous and vice versa.
Everyone who is both not wise and rich is either not happy or generous and vice versa.
If susan is not old or not kind then mary is either happy ... | Mary is not happy. | entailment | ((?[X]:(~generous(X)))<=>((wise(susan)&~curious(susan))))&
(![X]:(~kind(X)=>humble(X)))&
(![X]:(patient(X)<=>~generous(X)))&
(![X]:((~wise(X)&rich(X))<=>(~happy(X)<~>generous(X))))&
(((~old(susan)|~kind(susan)))=>((happy(mary)<~>~strong(mary))))&
((?[X]:(~humble(X)))=>(?[X]:(rich(X))))&
((?[X]:(~curious(X)))<=>(rich(su... | ~happy(mary) | [
"p0",
"p3",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 87631830153951623828993
% SZS output start Proof for 87631830153951623828993
1. ? [X0] : ~generous(X0) <=> (~curious(susan) & wise(susan)) [input p0]
4. ! [X0] : ((rich(X0) & ~wise(X0)) <=> (~happy(X0) <~> generous(X0))) [input p3]
13. ! [X0] : ((~funny(X0) | rich(X0)) <=> wise(X0)) [inpu... | 0 |
Everyone who is both humble and quiet is both not tall and not funny. Everyone who is either not rich or creative is not kind or patient and vice versa. Everyone who is not curious is not generous and vice versa. Everyone who is either creative or not humble is both not tall and humble. If someone is either not brave o... | Mary is creative. | entailment | (![X]:((humble(X)&quiet(X))=>(~tall(X)&~funny(X))))&
(![X]:((~rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:(~curious(X)<=>~generous(X)))&
(![X]:((creative(X)<~>~humble(X))=>(~tall(X)&humble(X))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>((strong(mary)|quiet(mary))))&
(![X]:(tall(X)=>(~curious(X)&old(X))))&
((?[X]... | creative(mary) | [
"p0",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8859359922161307085849235
% SZS output start Proof for 8859359922161307085849235
1. ! [X0] : ((quiet(X0) & humble(X0)) => (~funny(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((creative(X0) <~> ~humble(X0)) => (humble(X0) & ~tall(X0))) [input p3]
10. ! [X0] : (~tall(X0) <=> funny(X0)) [input ... | 0 |
Everyone who is either not generous or patient is both strong and not quiet.
Everyone who is tall is not generous and vice versa.
If lucy is either not quiet or not wise then someone is not creative and vice versa.
If mary is either kind or happy then lucy is both quiet and wise.
Everyone who is not happy or brave is n... | John is not generous. | entailment | (![X]:((~generous(X)<~>patient(X))=>(strong(X)&~quiet(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(((~quiet(lucy)<~>~wise(lucy)))<=>(?[X]:(~creative(X))))&
(((kind(mary)<~>happy(mary)))=>((quiet(lucy)&wise(lucy))))&
(![X]:((~happy(X)|brave(X))=>(~curious(X)|~generous(X))))&
((?[X]:((~tall(X)<~>patient(X))))=>((~tall(alice)... | ~generous(john) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3750084802647600780457317
% SZS output start Proof for 3750084802647600780457317
2. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p1]
6. ? [X0] : (~tall(X0) <~> patient(X0)) => (tall(alice) & ~tall(alice)) [input p5]
14. ! [X0] : ((patient(X0) <~> tall(X0)) <=> tall(X0)) [input p13]
23. ge... | 0 |
If someone is both not humble and kind then susan is curious and vice versa.
If someone is not kind or not strong then someone is both not quiet and not kind and vice versa.
Everyone who is both calm and rich is either not brave or strong.
Everyone who is curious or not patient is both not brave and tall and vice versa... | John is patient. | entailment | ((?[X]:((~humble(X)&kind(X))))<=>(curious(susan)))&
((?[X]:((~kind(X)|~strong(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:((calm(X)&rich(X))=>(~brave(X)<~>strong(X))))&
(![X]:((curious(X)|~patient(X))<=>(~brave(X)&tall(X))))&
(((~patient(alice)<~>~funny(alice)))<=>((~creative(john)<~>~quiet(john))))&
(![X]:((creative... | patient(john) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6883358140939860867347969
% SZS output start Proof for 6883358140939860867347969
4. ! [X0] : ((~patient(X0) | curious(X0)) <=> (tall(X0) & ~brave(X0))) [input p3]
12. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~calm(X0) & patient(X0))) [input p11]
24. ~patient(john) [input hypothesis]
47... | 0 |
If susan is not tall or patient then paul is either tall or generous. If someone is not wise or kind then paul is both rich and funny. If susan is both not rich and not creative then someone is not strong and vice versa. If lucy is either not funny or wise then fred is either generous or brave. Everyone who is not brav... | Paul is calm. | contradiction | (((~tall(susan)|patient(susan)))=>((tall(paul)<~>generous(paul))))&
((?[X]:((~wise(X)|kind(X))))=>((rich(paul)&funny(paul))))&
(((~rich(susan)&~creative(susan)))<=>(?[X]:(~strong(X))))&
(((~funny(lucy)<~>wise(lucy)))=>((generous(fred)<~>brave(fred))))&
(![X]:(~brave(X)=>(~kind(X)|~tall(X))))&
(![X]:((~calm(X)&~old(X))<... | calm(paul) | [
"p1",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7261726095927896103314361
% SZS output start Proof for 7261726095927896103314361
2. ? [X0] : (kind(X0) | ~wise(X0)) => (funny(paul) & rich(paul)) [input p1]
7. ! [X0] : ((funny(X0) | ~tall(X0)) => (~calm(X0) & funny(X0))) [input p6]
17. ? [X0] : (kind(X0) & ~generous(X0)) [input p16]
25. ... | 0 |
If john is old or strong then fred is not curious or not happy.
If someone is patient or not tall then someone is brave.
If someone is quiet or rich then someone is both not curious and curious.
Everyone who is both not wise and not patient is wise and vice versa.
If john is not brave or not curious then lucy is both n... | Lucy is creative. | neutral | (((old(john)|strong(john)))=>((~curious(fred)|~happy(fred))))&
((?[X]:((patient(X)|~tall(X))))=>(?[X]:(brave(X))))&
((?[X]:((quiet(X)|rich(X))))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:((~wise(X)&~patient(X))<=>wise(X)))&
(((~brave(john)|~curious(john)))=>((~creative(lucy)&quiet(lucy))))&
(![X]:((calm(X)<~>~rich(X))... | creative(lucy) | [] | null | 0 |
If lucy is both quiet and not strong then lucy is both old and curious.
Everyone who is both curious and tall is either curious or not curious and vice versa.
If someone is brave or happy then paul is both rich and not calm.
If someone is not patient then paul is not tall and vice versa.
If someone is either not funny ... | Alice is not curious. | contradiction | (((quiet(lucy)&~strong(lucy)))=>((old(lucy)&curious(lucy))))&
(![X]:((curious(X)&tall(X))<=>(curious(X)<~>~curious(X))))&
((?[X]:((brave(X)|happy(X))))=>((rich(paul)&~calm(paul))))&
((?[X]:(~patient(X)))<=>(~tall(paul)))&
((?[X]:((~funny(X)<~>strong(X))))<=>((quiet(john)<~>~strong(john))))&
(![X]:((calm(X)|~brave(X))<=... | ~curious(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 444602756959407935794993
% SZS output start Proof for 444602756959407935794993
2. ! [X0] : ((tall(X0) & curious(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p1]
22. ~curious(alice) [input hypothesis]
35. ! [X0] : (((tall(X0) & curious(X0)) | ((curious(X0) | curious(X0)) & (~curious(X0)... | 0 |
If susan is not kind or patient then someone is both not generous and not quiet and vice versa. If someone is strong or not patient then someone is not funny and vice versa. Everyone who is happy is patient or not calm and vice versa. If fred is either not brave or not funny then paul is both patient and not creative a... | Fred is quiet. | entailment | (((~kind(susan)|patient(susan)))<=>(?[X]:((~generous(X)&~quiet(X)))))&
((?[X]:((strong(X)|~patient(X))))<=>(?[X]:(~funny(X))))&
(![X]:(happy(X)<=>(patient(X)|~calm(X))))&
(((~brave(fred)<~>~funny(fred)))<=>((patient(paul)&~creative(paul))))&
((wise(susan))=>(?[X]:(strong(X))))&
((?[X]:((~generous(X)&~creative(X))))=>((... | quiet(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1912998451984504456305737
% SZS output start Proof for 1912998451984504456305737
11. ? [X0] : (strong(X0) | ~quiet(X0)) => ? [X0] : (~kind(X0) & kind(X0)) [input p10]
21. ~quiet(fred) [input hypothesis]
24. ? [X0] : (strong(X0) | ~quiet(X0)) => ? [X1] : (~kind(X1) & kind(X1)) [rectify 11]... | 0 |
If alice is not creative or not generous then someone is not curious or not old.
If someone is not generous then lucy is both creative and patient.
Everyone who is both rich and kind is both strong and not patient and vice versa.
Everyone who is either not kind or not tall is not creative and vice versa.
Everyone who i... | Lucy is not rich. | neutral | (((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&~patient(X))))&
(![X]:((~kind(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((creative(X)&~wise(X))<=>(~tall(X)&rich(X))))&
(![X]:((happy(X)&curious(X))<=>(~... | ~rich(lucy) | [] | null | 0 |
If fred is either not creative or not brave then someone is either not rich or not patient and vice versa. Everyone who is both not old and patient is either not happy or rich. Everyone who is either not tall or quiet is both kind and not wise and vice versa. If paul is both rich and not quiet then someone is both not ... | Fred is not rich. | contradiction | (((~creative(fred)<~>~brave(fred)))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
(![X]:((~old(X)&patient(X))=>(~happy(X)<~>rich(X))))&
(![X]:((~tall(X)<~>quiet(X))<=>(kind(X)&~wise(X))))&
(((rich(paul)&~quiet(paul)))<=>(?[X]:((~curious(X)&~brave(X)))))&
(![X]:((wise(X)<~>creative(X))<=>~tall(X)))&
(((~brave(mary)|happy(mary))... | ~rich(fred) | [
"p9",
"p10",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5144034840692872881445833
% SZS output start Proof for 5144034840692872881445833
10. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (patient(X0) | ~curious(X0))) [input p9]
11. ! [X0] : ((~curious(X0) & humble(X0)) <=> ~tall(X0)) [input p10]
13. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (~curiou... | 0 |
If someone is both not wise and humble then lucy is humble or not happy and vice versa.
If someone is both creative and not wise then someone is both not humble and generous and vice versa.
If mary is either not happy or not strong then mary is patient.
Everyone who is not humble or not wise is not brave.
Everyone who ... | Paul is rich. | neutral | ((?[X]:((~wise(X)&humble(X))))<=>((humble(lucy)|~happy(lucy))))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((~humble(X)&generous(X)))))&
(((~happy(mary)<~>~strong(mary)))=>(patient(mary)))&
(![X]:((~humble(X)|~wise(X))=>~brave(X)))&
(![X]:((funny(X)<~>~happy(X))<=>humble(X)))&
((?[X]:(~patient(X)))=>((~kind(susan)&patie... | rich(paul) | [] | null | 0 |
If lucy is not humble then someone is either not quiet or not happy.
If john is not generous or not strong then fred is not kind and vice versa.
Everyone who is not generous is not old and vice versa.
If mary is funny then someone is both funny and not creative.
If mary is either creative or old then someone is patient... | John is patient. | contradiction | ((~humble(lucy))=>(?[X]:((~quiet(X)<~>~happy(X)))))&
(((~generous(john)|~strong(john)))<=>(~kind(fred)))&
(![X]:(~generous(X)<=>~old(X)))&
((funny(mary))=>(?[X]:((funny(X)&~creative(X)))))&
(((creative(mary)<~>old(mary)))=>(?[X]:((patient(X)|rich(X)))))&
(((~calm(susan)|calm(susan)))<=>(?[X]:((~brave(X)&~rich(X)))))&
(... | patient(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 776854361174919982697816
% SZS output start Proof for 776854361174919982697816
23. ~patient(john) & calm(john) [input p22]
24. patient(john) [input hypothesis]
134. ~patient(john) [cnf transformation 23]
135. patient(john) [cnf transformation 24]
342. $false [subsumption resolution 135,13... | 0 |
Everyone who is wise or not tall is not quiet or funny and vice versa. Everyone who is either not patient or brave is either not strong or calm and vice versa. Everyone who is brave is not funny. Everyone who is either not strong or not calm is patient or not brave and vice versa. Everyone who is not wise is not patien... | Fred is wise. | contradiction | (![X]:((wise(X)|~tall(X))<=>(~quiet(X)|funny(X))))&
(![X]:((~patient(X)<~>brave(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(brave(X)=>~funny(X)))&
(![X]:((~strong(X)<~>~calm(X))<=>(patient(X)|~brave(X))))&
(![X]:(~wise(X)<=>(~patient(X)|~calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(~strong(X)<~>rich(X))))&
(((~humble(fred)&... | wise(fred) | [
"p2",
"p3",
"p4",
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7735223470265446065680983
% SZS output start Proof for 7735223470265446065680983
3. ! [X0] : (brave(X0) => ~funny(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~calm(X0)) <=> (~brave(X0) | patient(X0))) [input p3]
5. ! [X0] : (~wise(X0) <=> (~calm(X0) | ~patient(X0))) [input p4]
6. ! [X0]... | 0 |
Everyone who is not old or happy is kind or creative.
Everyone who is either not humble or humble is both not brave and creative.
If someone is not strong or not tall then someone is creative.
Everyone who is either old or not generous is either not strong or quiet.
If someone is both not old and tall then someone is e... | Mary is not calm. | neutral | (![X]:((~old(X)|happy(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)<~>humble(X))=>(~brave(X)&creative(X))))&
((?[X]:((~strong(X)|~tall(X))))=>(?[X]:(creative(X))))&
(![X]:((old(X)<~>~generous(X))=>(~strong(X)<~>quiet(X))))&
((?[X]:((~old(X)&tall(X))))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:((old(X)&humble(X))<=>b... | ~calm(mary) | [] | null | 0 |
If paul is not kind or not generous then fred is not quiet or not wise. If someone is funny then fred is both not tall and not curious. If someone is strong or tall then someone is old or quiet. If someone is both not quiet and not strong then lucy is both quiet and not wise and vice versa. Everyone who is either not h... | Mary is humble. | entailment | (((~kind(paul)|~generous(paul)))=>((~quiet(fred)|~wise(fred))))&
((?[X]:(funny(X)))=>((~tall(fred)&~curious(fred))))&
((?[X]:((strong(X)|tall(X))))=>(?[X]:((old(X)|quiet(X)))))&
((?[X]:((~quiet(X)&~strong(X))))<=>((quiet(lucy)&~wise(lucy))))&
(![X]:((~happy(X)<~>~humble(X))=>(quiet(X)&humble(X))))&
((?[X]:((~tall(X)&~b... | humble(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3907087794566582298690667
% SZS output start Proof for 3907087794566582298690667
9. ! [X0] : ((~humble(X0) | strong(X0)) => humble(X0)) [input p8]
22. ~humble(mary) [input hypothesis]
32. ! [X0] : (humble(X0) | (humble(X0) & ~strong(X0))) [ennf transformation 9]
92. humble(X0) | humble(X0... | 0 |
Everyone who is either happy or not generous is not old.
Everyone who is creative or happy is both humble and generous and vice versa.
If susan is not quiet then someone is strong.
If someone is not generous then alice is old.
Everyone who is not quiet or happy is both not strong and not humble and vice versa.
Everyone... | Fred is calm. | contradiction | (![X]:((happy(X)<~>~generous(X))=>~old(X)))&
(![X]:((creative(X)|happy(X))<=>(humble(X)&generous(X))))&
((~quiet(susan))=>(?[X]:(strong(X))))&
((?[X]:(~generous(X)))=>(old(alice)))&
(![X]:((~quiet(X)|happy(X))<=>(~strong(X)&~humble(X))))&
(![X]:((humble(X)|~patient(X))<=>(~brave(X)<~>~funny(X))))&
((generous(susan))<=>... | calm(fred) | [
"p10",
"p11",
"p12",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8991103574306832550673347
% SZS output start Proof for 8991103574306832550673347
11. ? [X0] : strong(X0) => ~calm(fred) [input p10]
12. ! [X0] : (strong(X0) <=> (kind(X0) | ~curious(X0))) [input p11]
13. ! [X0] : ((curious(X0) | happy(X0)) <=> (~calm(X0) & old(X0))) [input p12]
18. creati... | 0 |
Everyone who is both not generous and wise is either not wise or kind. Everyone who is both generous and not strong is not kind and vice versa. Everyone who is either happy or not quiet is either not quiet or not creative. Everyone who is both not calm and not funny is both not wise and calm. Everyone who is quiet is c... | Fred is calm. | neutral | (![X]:((~generous(X)&wise(X))=>(~wise(X)<~>kind(X))))&
(![X]:((generous(X)&~strong(X))<=>~kind(X)))&
(![X]:((happy(X)<~>~quiet(X))=>(~quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)&~funny(X))=>(~wise(X)&calm(X))))&
(![X]:(quiet(X)=>(creative(X)|tall(X))))&
((?[X]:((~funny(X)|~old(X))))<=>((tall(lucy)|~funny(lucy))))&
((?... | calm(fred) | [] | null | 0 |
If fred is not rich then mary is either creative or kind.
Everyone who is old or humble is curious or not generous.
Everyone who is not tall or not wise is generous or creative and vice versa.
If someone is both not strong and happy then mary is either funny or not funny and vice versa.
If someone is curious then alice... | Alice is happy. | contradiction | ((~rich(fred))=>((creative(mary)<~>kind(mary))))&
(![X]:((old(X)|humble(X))=>(curious(X)|~generous(X))))&
(![X]:((~tall(X)|~wise(X))<=>(generous(X)|creative(X))))&
((?[X]:((~strong(X)&happy(X))))<=>((funny(mary)<~>~funny(mary))))&
((?[X]:(curious(X)))=>(~happy(alice)))&
(![X]:((generous(X)<~>~brave(X))<=>(~brave(X)&old... | happy(alice) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5408658055343031007540830
% SZS output start Proof for 5408658055343031007540830
5. ? [X0] : curious(X0) => ~happy(alice) [input p4]
12. ! [X0] : (~patient(X0) <=> (~curious(X0) & ~strong(X0))) [input p11]
14. ! [X0] : (patient(X0) <=> ~strong(X0)) [input p13]
24. happy(alice) [input hypo... | 0 |
Everyone who is both funny and kind is not creative or strong and vice versa. If john is either not curious or not creative then someone is both not creative and curious. Everyone who is not funny is funny. If fred is not happy then someone is not quiet or calm. If alice is both quiet and not strong then paul is calm o... | Susan is wise. | contradiction | (![X]:((funny(X)&kind(X))<=>(~creative(X)|strong(X))))&
(((~curious(john)<~>~creative(john)))=>(?[X]:((~creative(X)&curious(X)))))&
(![X]:(~funny(X)=>funny(X)))&
((~happy(fred))=>(?[X]:((~quiet(X)|calm(X)))))&
(((quiet(alice)&~strong(alice)))<=>((calm(paul)|~patient(paul))))&
(((generous(mary)&patient(mary)))<=>(~happy... | wise(susan) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3414064911944611365158810
% SZS output start Proof for 3414064911944611365158810
13. ! [X0] : ((wise(X0) | quiet(X0)) <=> (~patient(X0) & ~creative(X0))) [input p12]
15. ! [X0] : ((~brave(X0) & brave(X0)) <=> (calm(X0) | ~patient(X0))) [input p14]
21. wise(susan) [input hypothesis]
57. ! ... | 0 |
If paul is both not quiet and not old then someone is both not rich and not quiet and vice versa.
If someone is either not curious or patient then paul is both not wise and calm.
Everyone who is not creative or patient is both curious and not humble.
Everyone who is rich or not generous is both not rich and not patient... | Paul is not old. | neutral | (((~quiet(paul)&~old(paul)))<=>(?[X]:((~rich(X)&~quiet(X)))))&
((?[X]:((~curious(X)<~>patient(X))))=>((~wise(paul)&calm(paul))))&
(![X]:((~creative(X)|patient(X))=>(curious(X)&~humble(X))))&
(![X]:((rich(X)|~generous(X))<=>(~rich(X)&~patient(X))))&
(![X]:((~curious(X)|~brave(X))<=>humble(X)))&
(![X]:((brave(X)|strong(X... | ~old(paul) | [] | null | 0 |
Everyone who is not happy or not curious is either calm or wise.
If someone is either creative or not brave then someone is calm or not generous.
Everyone who is either creative or kind is not old.
Everyone who is generous is either not calm or wise and vice versa.
Everyone who is wise or not humble is not brave or fun... | Fred is not calm. | entailment | (![X]:((~happy(X)|~curious(X))=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((creative(X)<~>kind(X))=>~old(X)))&
(![X]:(generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((wise(X)|~humble(X))<=>(~brave(X)|funny(X))))&
(![X]:((~quiet(X)|wise(X))<=>(calm(X)&~curious(X))))... | ~calm(fred) | [
"p0",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4420966550203730442905682
% SZS output start Proof for 4420966550203730442905682
1. ! [X0] : ((~curious(X0) | ~happy(X0)) => (calm(X0) <~> wise(X0))) [input p0]
6. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~curious(X0) & calm(X0))) [input p5]
8. ! [X0] : ((~curious(X0) & wise(X0)) <=> (calm(... | 0 |
Everyone who is not humble is generous and vice versa. Everyone who is both patient and curious is either not brave or not kind and vice versa. If fred is brave or generous then someone is either funny or not curious. Everyone who is both brave and kind is strong or happy and vice versa. Everyone who is not patient is ... | Susan is not kind. | contradiction | (![X]:(~humble(X)<=>generous(X)))&
(![X]:((patient(X)&curious(X))<=>(~brave(X)<~>~kind(X))))&
(((brave(fred)|generous(fred)))=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:((brave(X)&kind(X))<=>(strong(X)|happy(X))))&
(![X]:(~patient(X)=>(wise(X)|strong(X))))&
(((~generous(mary)|~brave(mary)))=>(~quiet(mary)))&
(((wise(jo... | ~kind(susan) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8304583613955397046236939
% SZS output start Proof for 8304583613955397046236939
4. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | strong(X0))) [input p3]
12. ! [X0] : ((~strong(X0) | ~patient(X0)) => kind(X0)) [input p11]
23. ~kind(susan) [input hypothesis]
31. ! [X0] : (kind(X0) | (s... | 0 |
If someone is either not rich or not strong then someone is generous or not funny and vice versa.
Everyone who is either brave or quiet is both not funny and not quiet.
Everyone who is not creative or not kind is either not creative or not brave and vice versa.
Everyone who is either not calm or not quiet is not wise o... | Paul is creative. | contradiction | ((?[X]:((~rich(X)<~>~strong(X))))<=>(?[X]:((generous(X)|~funny(X)))))&
(![X]:((brave(X)<~>quiet(X))=>(~funny(X)&~quiet(X))))&
(![X]:((~creative(X)|~kind(X))<=>(~creative(X)<~>~brave(X))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~wise(X)|rich(X))))&
(![X]:((~generous(X)|~wise(X))=>happy(X)))&
((?[X]:((wise(X)<~>~tall(X))))<=>(... | creative(paul) | [
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2610092434114007178595649
% SZS output start Proof for 2610092434114007178595649
9. ! [X0] : ((wise(X0) & patient(X0)) <=> (creative(X0) | generous(X0))) [input p8]
16. ! [X0] : (~wise(X0) <=> (~humble(X0) | ~strong(X0))) [input p15]
20. brave(paul) & ~strong(paul) [input p19]
24. creativ... | 0 |
Everyone who is wise or tall is either not kind or calm.
If someone is creative or strong then alice is both old and not curious and vice versa.
Everyone who is both not brave and kind is either not brave or not quiet.
If fred is either rich or kind then someone is calm.
If someone is not curious or not creative then s... | Paul is rich. | entailment | (![X]:((wise(X)|tall(X))=>(~kind(X)<~>calm(X))))&
((?[X]:((creative(X)|strong(X))))<=>((old(alice)&~curious(alice))))&
(![X]:((~brave(X)&kind(X))=>(~brave(X)<~>~quiet(X))))&
(((rich(fred)<~>kind(fred)))=>(?[X]:(calm(X))))&
((?[X]:((~curious(X)|~creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)&~rich(X))<=>(curio... | rich(paul) | [
"p1",
"p5",
"p8",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8096046724738670970435293
% SZS output start Proof for 8096046724738670970435293
2. ? [X0] : (strong(X0) | creative(X0)) <=> (~curious(alice) & old(alice)) [input p1]
6. ! [X0] : ((~rich(X0) & generous(X0)) <=> (~rich(X0) & curious(X0))) [input p5]
9. ? [X0] : (~old(X0) & ~strong(X0)) => ... | 0 |
If fred is not old then john is not funny.
Everyone who is both kind and not humble is curious or rich.
Everyone who is both generous and not brave is either not rich or humble and vice versa.
Everyone who is old is not creative or not old and vice versa.
Everyone who is rich is not strong.
Everyone who is both not ric... | Lucy is generous. | neutral | ((~old(fred))=>(~funny(john)))&
(![X]:((kind(X)&~humble(X))=>(curious(X)|rich(X))))&
(![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>humble(X))))&
(![X]:(old(X)<=>(~creative(X)|~old(X))))&
(![X]:(rich(X)=>~strong(X)))&
(![X]:((~rich(X)&happy(X))=>(generous(X)<~>~happy(X))))&
((?[X]:((~humble(X)<~>wise(X))))<=>((~old(fred)... | generous(lucy) | [] | null | 0 |
Everyone who is not strong or generous is quiet and vice versa.
Everyone who is both not happy and tall is not wise and vice versa.
Everyone who is funny or humble is either generous or not calm.
Everyone who is not curious is either not happy or not rich and vice versa.
If someone is old or not old then someone is not... | John is funny. | neutral | (![X]:((~strong(X)|generous(X))<=>quiet(X)))&
(![X]:((~happy(X)&tall(X))<=>~wise(X)))&
(![X]:((funny(X)|humble(X))=>(generous(X)<~>~calm(X))))&
(![X]:(~curious(X)<=>(~happy(X)<~>~rich(X))))&
((?[X]:((old(X)|~old(X))))=>(?[X]:((~rich(X)|tall(X)))))&
((~wise(mary))=>(?[X]:((~rich(X)|~creative(X)))))&
(((~wise(mary)&tall(... | funny(john) | [] | null | 0 |
If fred is either curious or not old then paul is either quiet or rich and vice versa.
If someone is generous or not funny then john is not strong.
Everyone who is not kind is not quiet and vice versa.
Everyone who is not wise or not calm is either not generous or not patient.
If fred is either patient or old then paul... | Paul is strong. | entailment | (((curious(fred)<~>~old(fred)))<=>((quiet(paul)<~>rich(paul))))&
((?[X]:((generous(X)|~funny(X))))=>(~strong(john)))&
(![X]:(~kind(X)<=>~quiet(X)))&
(![X]:((~wise(X)|~calm(X))=>(~generous(X)<~>~patient(X))))&
(((patient(fred)<~>old(fred)))<=>(~funny(paul)))&
((?[X]:((~quiet(X)&~humble(X))))=>((~generous(john)&~funny(jo... | strong(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2952463416099415908280399
% SZS output start Proof for 2952463416099415908280399
8. ! [X0] : ((~curious(X0) | ~strong(X0)) <=> (~humble(X0) & humble(X0))) [input p7]
22. ~strong(paul) [input hypothesis]
37. ! [X0] : (((~curious(X0) | ~strong(X0)) | (humble(X0) | ~humble(X0))) & ((~humble(... | 0 |
Everyone who is not humble or not funny is not strong and vice versa. Everyone who is not rich or not creative is both generous and patient and vice versa. Everyone who is either not happy or not brave is both not curious and old. Everyone who is funny is rich and vice versa. Everyone who is not happy is not wise. Ever... | Paul is wise. | entailment | (![X]:((~humble(X)|~funny(X))<=>~strong(X)))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(~happy(X)=>~wise(X)))&
(![X]:((~happy(X)|~quiet(X))<=>(brave(X)&~old(X))))&
((?[X]:(~tall(X)))<=>((~generous(lucy)<~>~ric... | wise(paul) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 185715227648978455926186
% SZS output start Proof for 185715227648978455926186
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> ~strong(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (patient(X0) & generous(X0))) [input p1]
4. ! [X0] : (funny(X0) <=> rich(X0)) [input p3]
6. ! [X0... | 0 |
If lucy is either not tall or not wise then fred is not strong or strong. If someone is both patient and generous then mary is either not happy or not humble and vice versa. Everyone who is both not tall and not creative is kind or not calm and vice versa. If susan is not patient then mary is tall. If someone is either... | Lucy is not humble. | contradiction | (((~tall(lucy)<~>~wise(lucy)))=>((~strong(fred)|strong(fred))))&
((?[X]:((patient(X)&generous(X))))<=>((~happy(mary)<~>~humble(mary))))&
(![X]:((~tall(X)&~creative(X))<=>(kind(X)|~calm(X))))&
((~patient(susan))=>(tall(mary)))&
((?[X]:((~funny(X)<~>happy(X))))=>((~quiet(susan)|creative(susan))))&
(![X]:((strong(X)<~>old... | ~humble(lucy) | [
"p2",
"p5",
"p6",
"p11",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 575434844660769276502315
% SZS output start Proof for 575434844660769276502315
3. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~calm(X0) | kind(X0))) [input p2]
6. ! [X0] : ((strong(X0) <~> old(X0)) <=> (~creative(X0) & rich(X0))) [input p5]
7. ! [X0] : ((~calm(X0) | ~old(X0)) <=> (creative... | 0 |
Everyone who is tall or not patient is not quiet and vice versa.
Everyone who is both rich and quiet is not generous or not creative and vice versa.
Everyone who is not humble or not old is either wise or not strong and vice versa.
Everyone who is old or not calm is both not generous and not strong and vice versa.
If l... | John is not tall. | entailment | (![X]:((tall(X)|~patient(X))<=>~quiet(X)))&
(![X]:((rich(X)&quiet(X))<=>(~generous(X)|~creative(X))))&
(![X]:((~humble(X)|~old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((old(X)|~calm(X))<=>(~generous(X)&~strong(X))))&
(((~patient(lucy)<~>~old(lucy)))=>((humble(lucy)|tall(lucy))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~creati... | ~tall(john) | [
"p0",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8232235974037240313598813
% SZS output start Proof for 8232235974037240313598813
1. ! [X0] : ((~patient(X0) | tall(X0)) <=> ~quiet(X0)) [input p0]
12. ? [X0] : (curious(X0) | brave(X0)) <=> quiet(john) [input p11]
20. brave(alice) [input p19]
25. tall(john) [input hypothesis]
42. ! [X0] :... | 0 |
Everyone who is curious is not calm or not funny.
If mary is either curious or not curious then lucy is not creative.
If lucy is not creative or generous then someone is either not tall or not curious.
If someone is either old or not quiet then someone is either tall or kind and vice versa.
Everyone who is not wise or ... | Susan is not generous. | contradiction | (![X]:(curious(X)=>(~calm(X)|~funny(X))))&
(((curious(mary)<~>~curious(mary)))=>(~creative(lucy)))&
(((~creative(lucy)|generous(lucy)))=>(?[X]:((~tall(X)<~>~curious(X)))))&
((?[X]:((old(X)<~>~quiet(X))))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~wise(X)|~tall(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((~patient(X)|~curi... | ~generous(susan) | [
"p1",
"p10",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6436373393559694556901137
% SZS output start Proof for 6436373393559694556901137
2. (curious(mary) <~> ~curious(mary)) => ~creative(lucy) [input p1]
11. generous(susan) <=> (happy(lucy) | ~wise(lucy)) [input p10]
13. ! [X0] : (creative(X0) <=> kind(X0)) [input p12]
16. ! [X0] : (~kind(X0)... | 0 |
Everyone who is quiet or not brave is humble and vice versa.
If someone is strong or not strong then lucy is not rich or not wise and vice versa.
If someone is both quiet and strong then susan is strong and vice versa.
If lucy is curious or not old then susan is patient.
Everyone who is curious or patient is not humble... | Susan is not strong. | neutral | (![X]:((quiet(X)|~brave(X))<=>humble(X)))&
((?[X]:((strong(X)|~strong(X))))<=>((~rich(lucy)|~wise(lucy))))&
((?[X]:((quiet(X)&strong(X))))<=>(strong(susan)))&
(((curious(lucy)|~old(lucy)))=>(patient(susan)))&
(![X]:((curious(X)|patient(X))<=>(~humble(X)|calm(X))))&
(![X]:((~calm(X)&curious(X))<=>(funny(X)|happy(X))))&
... | ~strong(susan) | [] | null | 0 |
If mary is creative or old then fred is either old or not humble. Everyone who is not rich or not old is not generous and vice versa. If john is tall or old then john is not calm or not brave and vice versa. Everyone who is happy is both not tall and not old and vice versa. Everyone who is not brave is not generous or ... | Paul is not patient. | neutral | (((creative(mary)|old(mary)))=>((old(fred)<~>~humble(fred))))&
(![X]:((~rich(X)|~old(X))<=>~generous(X)))&
(((tall(john)|old(john)))<=>((~calm(john)|~brave(john))))&
(![X]:(happy(X)<=>(~tall(X)&~old(X))))&
(![X]:(~brave(X)<=>(~generous(X)|funny(X))))&
(![X]:(brave(X)<=>humble(X)))&
(![X]:((~curious(X)&~quiet(X))<=>(fun... | ~patient(paul) | [] | null | 0 |
If alice is either not patient or not calm then susan is generous or funny and vice versa.
If someone is both not humble and not tall then someone is either rich or curious and vice versa.
Everyone who is either strong or generous is either wise or not kind.
If someone is not quiet or patient then mary is not generous.... | Mary is not happy. | contradiction | (((~patient(alice)<~>~calm(alice)))<=>((generous(susan)|funny(susan))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((strong(X)<~>generous(X))=>(wise(X)<~>~kind(X))))&
((?[X]:((~quiet(X)|patient(X))))=>(~generous(mary)))&
((?[X]:((~kind(X)|~old(X))))=>(?[X]:((humble(X)&~strong(X)))))&
((?... | ~happy(mary) | [
"p3",
"p6",
"p20",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3778110527573442973842771
% SZS output start Proof for 3778110527573442973842771
4. ? [X0] : (patient(X0) | ~quiet(X0)) => ~generous(mary) [input p3]
7. ! [X0] : ((curious(X0) <~> patient(X0)) <=> (~creative(X0) <~> creative(X0))) [input p6]
21. ~curious(susan) [input p20]
23. rich(mary) ... | 0 |
If mary is either not brave or happy then john is curious or tall and vice versa.
Everyone who is not kind is both humble and not calm.
If paul is strong or wise then someone is wise or quiet.
Everyone who is both not old and not kind is both not calm and tall.
If alice is brave then someone is both not humble and not ... | Mary is not kind. | contradiction | (((~brave(mary)<~>happy(mary)))<=>((curious(john)|tall(john))))&
(![X]:(~kind(X)=>(humble(X)&~calm(X))))&
(((strong(paul)|wise(paul)))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~old(X)&~kind(X))=>(~calm(X)&tall(X))))&
((brave(alice))=>(?[X]:((~humble(X)&~creative(X)))))&
(![X]:(humble(X)=>(strong(X)&~humble(X))))&
(((happ... | ~kind(mary) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 811212169072620576326045
% SZS output start Proof for 811212169072620576326045
2. ! [X0] : (~kind(X0) => (~calm(X0) & humble(X0))) [input p1]
6. ! [X0] : (humble(X0) => (~humble(X0) & strong(X0))) [input p5]
24. ~kind(mary) [input hypothesis]
27. ! [X0] : ((~calm(X0) & humble(X0)) | kind(... | 0 |
If mary is not humble or not kind then paul is either not patient or curious. Everyone who is calm or wise is either quiet or brave and vice versa. Everyone who is patient or not happy is either not happy or not kind. If someone is either not strong or old then susan is both not calm and not curious. If someone is not ... | Susan is kind. | entailment | (((~humble(mary)|~kind(mary)))=>((~patient(paul)<~>curious(paul))))&
(![X]:((calm(X)|wise(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((patient(X)|~happy(X))=>(~happy(X)<~>~kind(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~calm(susan)&~curious(susan))))&
((?[X]:(~quiet(X)))<=>((~happy(alice)&~wise(alice))))&
(![X]:((~calm(X)&~c... | kind(susan) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 814388726578012832333814
% SZS output start Proof for 814388726578012832333814
3. ! [X0] : ((~happy(X0) | patient(X0)) => (~happy(X0) <~> ~kind(X0))) [input p2]
22. ~happy(susan) [input p21]
24. ~kind(susan) [input hypothesis]
29. ! [X0] : ((~happy(X0) <~> ~kind(X0)) | (happy(X0) & ~patie... | 0 |
Everyone who is not humble is both not kind and funny and vice versa.
If alice is not humble then mary is strong or wise and vice versa.
Everyone who is both happy and not curious is both not generous and not rich and vice versa.
Everyone who is patient or humble is not funny and vice versa.
Everyone who is humble or c... | Mary is happy. | neutral | (![X]:(~humble(X)<=>(~kind(X)&funny(X))))&
((~humble(alice))<=>((strong(mary)|wise(mary))))&
(![X]:((happy(X)&~curious(X))<=>(~generous(X)&~rich(X))))&
(![X]:((patient(X)|humble(X))<=>~funny(X)))&
(![X]:((humble(X)|curious(X))<=>(happy(X)&~patient(X))))&
(((happy(alice)&brave(alice)))<=>((~wise(susan)|old(susan))))&
((... | happy(mary) | [] | null | 0 |
If someone is not creative then someone is brave.
If someone is either not creative or not kind then fred is both not funny and calm.
Everyone who is rich is either happy or generous.
Everyone who is both not tall and creative is rich.
If someone is old or not calm then someone is calm.
If paul is generous then alice i... | Paul is calm. | entailment | ((?[X]:(~creative(X)))=>(?[X]:(brave(X))))&
((?[X]:((~creative(X)<~>~kind(X))))=>((~funny(fred)&calm(fred))))&
(![X]:(rich(X)=>(happy(X)<~>generous(X))))&
(![X]:((~tall(X)&creative(X))=>rich(X)))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:(calm(X))))&
((generous(paul))=>((~tall(alice)|humble(alice))))&
((?[X]:(~calm(X)))=>(?[... | calm(paul) | [
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8650895865620344128794800
% SZS output start Proof for 8650895865620344128794800
7. ? [X0] : ~calm(X0) => ? [X0] : ~humble(X0) [input p6]
9. ! [X0] : (~patient(X0) <=> ~creative(X0)) [input p8]
14. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p13]
15. ! [X0] : (~humble(X0) => (patient(X0... | 0 |
Everyone who is both not creative and curious is not humble. Everyone who is either not creative or generous is either not patient or old. Everyone who is either not generous or quiet is not patient and vice versa. Everyone who is both not tall and not happy is either quiet or humble and vice versa. Everyone who is cur... | Mary is not happy. | contradiction | (![X]:((~creative(X)&curious(X))=>~humble(X)))&
(![X]:((~creative(X)<~>generous(X))=>(~patient(X)<~>old(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>~patient(X)))&
(![X]:((~tall(X)&~happy(X))<=>(quiet(X)<~>humble(X))))&
(![X]:(curious(X)<=>(old(X)<~>~patient(X))))&
(![X]:(funny(X)<=>(~funny(X)|~creative(X))))&
(((~curious... | ~happy(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8163693285902679295815272
% SZS output start Proof for 8163693285902679295815272
1. ! [X0] : ((curious(X0) & ~creative(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : ((~creative(X0) <~> generous(X0)) => (~patient(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> quiet(X0)) <=> ~pa... | 0 |
Everyone who is either not patient or happy is not happy or not patient.
If someone is both not curious and not patient then someone is tall and vice versa.
Everyone who is patient is brave and vice versa.
If someone is both kind and not quiet then someone is tall and vice versa.
Everyone who is either not quiet or wis... | Paul is not creative. | neutral | (![X]:((~patient(X)<~>happy(X))=>(~happy(X)|~patient(X))))&
((?[X]:((~curious(X)&~patient(X))))<=>(?[X]:(tall(X))))&
(![X]:(patient(X)<=>brave(X)))&
((?[X]:((kind(X)&~quiet(X))))<=>(?[X]:(tall(X))))&
(![X]:((~quiet(X)<~>wise(X))=>curious(X)))&
((?[X]:((wise(X)<~>generous(X))))=>((wise(paul)|~creative(paul))))&
(((calm(... | ~creative(paul) | [] | null | 0 |
Everyone who is either not quiet or not happy is both strong and not quiet.
If susan is both not calm and not brave then susan is either wise or old.
Everyone who is brave or not curious is both brave and not curious and vice versa.
Everyone who is both not old and tall is either not rich or not funny and vice versa.
I... | Paul is not funny. | contradiction | (![X]:((~quiet(X)<~>~happy(X))=>(strong(X)&~quiet(X))))&
(((~calm(susan)&~brave(susan)))=>((wise(susan)<~>old(susan))))&
(![X]:((brave(X)|~curious(X))<=>(brave(X)&~curious(X))))&
(![X]:((~old(X)&tall(X))<=>(~rich(X)<~>~funny(X))))&
(((generous(fred)<~>~generous(fred)))=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((~strong(X)... | ~funny(paul) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 918566012878419429091188
% SZS output start Proof for 918566012878419429091188
10. ! [X0] : ((~strong(X0) | happy(X0)) => (funny(X0) & quiet(X0))) [input p9]
15. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> ~funny(X0)) [input p14]
25. ~funny(paul) [input hypothesis]
34. ! [X0] : ((funny(X0) & ... | 0 |
If mary is either not rich or calm then mary is happy and vice versa.
If fred is both not happy and kind then someone is both not humble and not old and vice versa.
Everyone who is curious is either humble or calm.
Everyone who is not generous is calm.
If susan is old or strong then someone is generous or not creative.... | Alice is not patient. | contradiction | (((~rich(mary)<~>calm(mary)))<=>(happy(mary)))&
(((~happy(fred)&kind(fred)))<=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:(curious(X)=>(humble(X)<~>calm(X))))&
(![X]:(~generous(X)=>calm(X)))&
(((old(susan)|strong(susan)))=>(?[X]:((generous(X)|~creative(X)))))&
(((~kind(john)|~generous(john)))<=>(~generous(paul)))&
((?[X]:((... | ~patient(alice) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 952750499323869829255760
% SZS output start Proof for 952750499323869829255760
12. ! [X0] : ((~patient(X0) | kind(X0)) <=> (old(X0) <~> ~patient(X0))) [input p11]
13. ! [X0] : (~old(X0) => (~strong(X0) & strong(X0))) [input p12]
25. ~patient(alice) [input hypothesis]
37. ! [X0] : ((~stron... | 0 |
Everyone who is both not quiet and generous is not happy or patient and vice versa.
If someone is not creative or generous then someone is either not creative or not brave.
If lucy is either not happy or tall then someone is both not quiet and brave and vice versa.
If john is not curious then mary is both quiet and not... | John is not kind. | neutral | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|patient(X))))&
((?[X]:((~creative(X)|generous(X))))=>(?[X]:((~creative(X)<~>~brave(X)))))&
(((~happy(lucy)<~>tall(lucy)))<=>(?[X]:((~quiet(X)&brave(X)))))&
((~curious(john))=>((quiet(mary)&~tall(mary))))&
((?[X]:((tall(X)&rich(X))))<=>((creative(alice)|~humble(alice))))&
(((~... | ~kind(john) | [] | null | 0 |
Everyone who is both not old and humble is patient and vice versa.
If john is not humble then mary is wise or not wise.
Everyone who is old or not old is wise and vice versa.
Everyone who is both funny and not rich is both not brave and calm.
Everyone who is wise or not happy is both not calm and creative.
Everyone who... | Paul is rich. | entailment | (![X]:((~old(X)&humble(X))<=>patient(X)))&
((~humble(john))=>((wise(mary)|~wise(mary))))&
(![X]:((old(X)|~old(X))<=>wise(X)))&
(![X]:((funny(X)&~rich(X))=>(~brave(X)&calm(X))))&
(![X]:((wise(X)|~happy(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|~happy(X))=>(brave(X)&kind(X))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[... | rich(paul) | [
"p0",
"p2",
"p4",
"p5",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 730290016990135002565414
% SZS output start Proof for 730290016990135002565414
1. ! [X0] : ((humble(X0) & ~old(X0)) <=> patient(X0)) [input p0]
3. ! [X0] : ((~old(X0) | old(X0)) <=> wise(X0)) [input p2]
5. ! [X0] : ((~happy(X0) | wise(X0)) => (creative(X0) & ~calm(X0))) [input p4]
6. ! [X... | 0 |
Everyone who is not calm is both funny and not strong. If lucy is not quiet then fred is either not happy or not brave. If someone is both happy and funny then someone is both not patient and brave. Everyone who is not calm or happy is either not quiet or patient. Everyone who is curious is patient. Everyone who is ric... | Lucy is not funny. | contradiction | (![X]:(~calm(X)=>(funny(X)&~strong(X))))&
((~quiet(lucy))=>((~happy(fred)<~>~brave(fred))))&
((?[X]:((happy(X)&funny(X))))=>(?[X]:((~patient(X)&brave(X)))))&
(![X]:((~calm(X)|happy(X))=>(~quiet(X)<~>patient(X))))&
(![X]:(curious(X)=>patient(X)))&
(![X]:(rich(X)<=>(brave(X)|kind(X))))&
(![X]:((calm(X)&creative(X))=>(kin... | ~funny(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 242193005483347430992923
% SZS output start Proof for 242193005483347430992923
1. ! [X0] : (~calm(X0) => (~strong(X0) & funny(X0))) [input p0]
2. ~quiet(lucy) => (~happy(fred) <~> ~brave(fred)) [input p1]
4. ! [X0] : ((happy(X0) | ~calm(X0)) => (~quiet(X0) <~> patient(X0))) [input p3]
5. ... | 0 |
Everyone who is not generous or not happy is not tall or kind.
Everyone who is either kind or not quiet is not brave or happy.
Everyone who is either not curious or happy is either humble or not happy.
If someone is tall or curious then alice is either not quiet or calm.
Everyone who is both patient and not happy is ei... | Fred is creative. | contradiction | (![X]:((~generous(X)|~happy(X))=>(~tall(X)|kind(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(kind(X)<~>humble(X))))&
(![X]:((~funny(X)&~strong(X)... | creative(fred) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7460421415306177481278602
% SZS output start Proof for 7460421415306177481278602
6. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> ~kind(X0)) [input p5]
7. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~wise(X0) | generous(X0))) [input p6]
15. ! [X0] : (creative(X0) <=> (strong(X0) & ~wise(X0))) [input... | 0 |
If paul is both not kind and not tall then someone is funny.
If someone is both not kind and not humble then lucy is old or wise.
If lucy is either happy or rich then someone is not quiet.
Everyone who is both not happy and not tall is either not generous or not rich and vice versa.
Everyone who is not rich or brave is... | Alice is not calm. | contradiction | (((~kind(paul)&~tall(paul)))=>(?[X]:(funny(X))))&
((?[X]:((~kind(X)&~humble(X))))=>((old(lucy)|wise(lucy))))&
(((happy(lucy)<~>rich(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&~tall(X))<=>(~generous(X)<~>~rich(X))))&
(![X]:((~rich(X)|brave(X))<=>rich(X)))&
((generous(paul))=>(?[X]:(old(X))))&
(![X]:((~calm(X)|~old(... | ~calm(alice) | [
"p4",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3174967918209949089554958
% SZS output start Proof for 3174967918209949089554958
5. ! [X0] : ((brave(X0) | ~rich(X0)) <=> rich(X0)) [input p4]
9. ! [X0] : ((~strong(X0) & tall(X0)) <=> ~calm(X0)) [input p8]
16. ! [X0] : (~calm(X0) <=> (rich(X0) <~> ~strong(X0))) [input p15]
20. ~calm(alic... | 0 |
If someone is generous then paul is not generous or not kind and vice versa. Everyone who is wise is both not kind and kind and vice versa. If fred is calm then john is wise or generous. Everyone who is either not generous or patient is both not creative and not patient. Everyone who is brave is both not wise and not o... | Paul is happy. | neutral | ((?[X]:(generous(X)))<=>((~generous(paul)|~kind(paul))))&
(![X]:(wise(X)<=>(~kind(X)&kind(X))))&
((calm(fred))=>((wise(john)|generous(john))))&
(![X]:((~generous(X)<~>patient(X))=>(~creative(X)&~patient(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:((funny(X)&~patient(X))))<=>((curious(mary)|~quiet(mary))))&
((... | happy(paul) | [] | null | 0 |
If someone is not generous then someone is both kind and generous and vice versa.
Everyone who is generous or not quiet is both not wise and brave.
If paul is both not quiet and happy then someone is either old or funny and vice versa.
If someone is humble then someone is either generous or not humble and vice versa.
E... | Mary is not curious. | entailment | ((?[X]:(~generous(X)))<=>(?[X]:((kind(X)&generous(X)))))&
(![X]:((generous(X)|~quiet(X))=>(~wise(X)&brave(X))))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((old(X)<~>funny(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:(strong(X)=>(creative(X)|~funny(X))))&
((?[X]:(calm(X)))<=>((old(fred)|~tall(f... | ~curious(mary) | [
"p1",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 669050226518792899894697
% SZS output start Proof for 669050226518792899894697
2. ! [X0] : ((~quiet(X0) | generous(X0)) => (brave(X0) & ~wise(X0))) [input p1]
8. ! [X0] : ((wise(X0) & rich(X0)) <=> curious(X0)) [input p7]
10. ! [X0] : ((calm(X0) | rich(X0)) <=> (~wise(X0) & ~humble(X0))) ... | 0 |
Everyone who is both generous and not creative is both not humble and brave.
If alice is happy then john is either old or not generous.
If lucy is both not generous and not patient then someone is either not old or quiet.
If someone is either humble or old then someone is both not generous and kind and vice versa.
If s... | John is brave. | contradiction | (![X]:((generous(X)&~creative(X))=>(~humble(X)&brave(X))))&
((happy(alice))=>((old(john)<~>~generous(john))))&
(((~generous(lucy)&~patient(lucy)))=>(?[X]:((~old(X)<~>quiet(X)))))&
((?[X]:((humble(X)<~>old(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
((?[X]:((happy(X)&old(X))))=>((~happy(alice)&~rich(alice))))&
((?[X]:(~ha... | brave(john) | [
"p5",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1753339111511671153157169
% SZS output start Proof for 1753339111511671153157169
6. ? [X0] : ~happy(X0) => ~brave(john) [input p5]
10. ! [X0] : ((~happy(X0) <~> ~strong(X0)) <=> (~curious(X0) <~> strong(X0))) [input p9]
24. curious(alice) & ~creative(alice) [input p23]
25. brave(john) [in... | 0 |
Everyone who is curious or not tall is both creative and not rich and vice versa.
Everyone who is either not generous or strong is not kind.
Everyone who is both not brave and brave is calm or not generous and vice versa.
If lucy is either not curious or strong then someone is not creative.
If someone is both quiet and... | Lucy is creative. | entailment | (![X]:((curious(X)|~tall(X))<=>(creative(X)&~rich(X))))&
(![X]:((~generous(X)<~>strong(X))=>~kind(X)))&
(![X]:((~brave(X)&brave(X))<=>(calm(X)|~generous(X))))&
(((~curious(lucy)<~>strong(lucy)))=>(?[X]:(~creative(X))))&
((?[X]:((quiet(X)&kind(X))))<=>((~rich(lucy)<~>creative(lucy))))&
(![X]:((~old(X)&~calm(X))<=>(quiet... | creative(lucy) | [
"p0",
"p5",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2001620019754744468428873
% SZS output start Proof for 2001620019754744468428873
1. ! [X0] : ((~tall(X0) | curious(X0)) <=> (~rich(X0) & creative(X0))) [input p0]
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (happy(X0) | quiet(X0))) [input p5]
8. ! [X0] : ((~old(X0) <~> curious(X0)) <=> (old(X... | 0 |
Everyone who is both creative and not funny is both not happy and not rich. Everyone who is humble is both not generous and creative. If paul is both not curious and wise then someone is curious or quiet. Everyone who is kind or old is kind or calm. Everyone who is wise or generous is strong and vice versa. If alice is... | Mary is not rich. | neutral | (![X]:((creative(X)&~funny(X))=>(~happy(X)&~rich(X))))&
(![X]:(humble(X)=>(~generous(X)&creative(X))))&
(((~curious(paul)&wise(paul)))=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((kind(X)|old(X))=>(kind(X)|calm(X))))&
(![X]:((wise(X)|generous(X))<=>strong(X)))&
(((~old(alice)&~wise(alice)))=>(?[X]:(~old(X))))&
(((calm(mar... | ~rich(mary) | [] | null | 0 |
If someone is patient then someone is both strong and not strong and vice versa. If someone is calm or old then paul is not generous and vice versa. Everyone who is generous or creative is both curious and not kind. Everyone who is old is both not calm and not humble. Everyone who is tall or brave is happy or old. Ever... | Susan is patient. | contradiction | ((?[X]:(patient(X)))<=>(?[X]:((strong(X)&~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(~generous(paul)))&
(![X]:((generous(X)|creative(X))=>(curious(X)&~kind(X))))&
(![X]:(old(X)=>(~calm(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>(happy(X)|old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>~patient(X)))&
(![X]:((brave(X)<... | patient(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5344278252164545798216944
% SZS output start Proof for 5344278252164545798216944
1. ? [X0] : patient(X0) <=> ? [X0] : (~strong(X0) & strong(X0)) [input p0]
24. patient(susan) [input hypothesis]
25. ? [X0] : patient(X0) <=> ? [X1] : (~strong(X1) & strong(X1)) [rectify 1]
36. (? [X0] : pati... | 0 |
If someone is kind or happy then susan is either strong or patient. If someone is not wise then alice is either not generous or creative and vice versa. Everyone who is not creative or generous is not tall or strong. If someone is both not tall and not kind then lucy is strong. If someone is not calm then paul is humbl... | John is rich. | neutral | ((?[X]:((kind(X)|happy(X))))=>((strong(susan)<~>patient(susan))))&
((?[X]:(~wise(X)))<=>((~generous(alice)<~>creative(alice))))&
(![X]:((~creative(X)|generous(X))=>(~tall(X)|strong(X))))&
((?[X]:((~tall(X)&~kind(X))))=>(strong(lucy)))&
((?[X]:(~calm(X)))=>((humble(paul)|~brave(paul))))&
(![X]:(rich(X)<=>(~old(X)|~kind(... | rich(john) | [] | null | 0 |
If alice is not curious or not patient then someone is both old and funny and vice versa.
If someone is both brave and not strong then paul is strong.
Everyone who is either not generous or kind is creative or not wise.
If someone is happy then someone is either wise or not generous.
Everyone who is either calm or rich... | Mary is not old. | neutral | (((~curious(alice)|~patient(alice)))<=>(?[X]:((old(X)&funny(X)))))&
((?[X]:((brave(X)&~strong(X))))=>(strong(paul)))&
(![X]:((~generous(X)<~>kind(X))=>(creative(X)|~wise(X))))&
((?[X]:(happy(X)))=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((calm(X)<~>rich(X))<=>(~generous(X)|~happy(X))))&
(![X]:((rich(X)&strong(X))=>(t... | ~old(mary) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is not old or not curious then someone is both not tall and calm and vice versa.
Everyone who is either happy or quiet is kind.
Everyone who is brave or funny is either not funny or kind... | John is not patient. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((~old(X)|~curious(X))))<=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:((happy(X)<~>quiet(X))=>kind(X)))&
(![X]:((brave(X)|funny(X))=>(~funny(X)<~>kind(X))))&
((?[X]:((rich(X)|calm(X))))<=>(?[X]:((humble(X)&happy(X)))))&
((?... | ~patient(john) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1903020166112385603978453
% SZS output start Proof for 1903020166112385603978453
1. ! [X0] : ((kind(X0) | curious(X0)) => (~brave(X0) & curious(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
5. ! [X0] : ((funny(X0) | brave(X0)) => (~funny(X0) <~> kind(X0)... | 0 |
Everyone who is both funny and quiet is either funny or not tall and vice versa.
If someone is either not wise or not generous then someone is not generous.
If paul is not creative or not kind then alice is either not happy or not kind.
Everyone who is not humble or rich is either humble or not quiet and vice versa.
Ev... | Paul is kind. | entailment | (![X]:((funny(X)&quiet(X))<=>(funny(X)<~>~tall(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:(~generous(X))))&
(((~creative(paul)|~kind(paul)))=>((~happy(alice)<~>~kind(alice))))&
(![X]:((~humble(X)|rich(X))<=>(humble(X)<~>~quiet(X))))&
(![X]:((patient(X)<~>~happy(X))=>(calm(X)|~old(X))))&
(![X]:((rich(X)&~brave(X)... | kind(paul) | [
"p0",
"p3",
"p6",
"p8",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5574159482287786955125783
% SZS output start Proof for 5574159482287786955125783
1. ! [X0] : ((quiet(X0) & funny(X0)) <=> (funny(X0) <~> ~tall(X0))) [input p0]
4. ! [X0] : ((rich(X0) | ~humble(X0)) <=> (humble(X0) <~> ~quiet(X0))) [input p3]
7. ! [X0] : ((~patient(X0) | rich(X0)) => (kind... | 0 |
Everyone who is not wise is both not rich and tall. If susan is strong or not humble then someone is both not calm and patient and vice versa. Everyone who is either not kind or rich is both not happy and brave. If someone is not rich then mary is either rich or humble and vice versa. If alice is either tall or not str... | Fred is not calm. | neutral | (![X]:(~wise(X)=>(~rich(X)&tall(X))))&
(((strong(susan)|~humble(susan)))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]:((~kind(X)<~>rich(X))=>(~happy(X)&brave(X))))&
((?[X]:(~rich(X)))<=>((rich(mary)<~>humble(mary))))&
(((tall(alice)<~>~strong(alice)))<=>(?[X]:(curious(X))))&
(![X]:((curious(X)|calm(X))<=>patient(X)))&
(![X... | ~calm(fred) | [] | null | 0 |
If lucy is kind or funny then john is wise.
Everyone who is tall is strong or calm and vice versa.
If someone is not strong or not calm then lucy is both humble and quiet.
Everyone who is either not happy or not humble is both funny and calm and vice versa.
If someone is not rich then alice is not funny or generous.
If... | John is not kind. | neutral | (((kind(lucy)|funny(lucy)))=>(wise(john)))&
(![X]:(tall(X)<=>(strong(X)|calm(X))))&
((?[X]:((~strong(X)|~calm(X))))=>((humble(lucy)&quiet(lucy))))&
(![X]:((~happy(X)<~>~humble(X))<=>(funny(X)&calm(X))))&
((?[X]:(~rich(X)))=>((~funny(alice)|generous(alice))))&
((?[X]:((~tall(X)|tall(X))))=>(?[X]:((old(X)|~curious(X)))))... | ~kind(john) | [] | null | 0 |
If alice is curious or old then fred is not happy and vice versa.
Everyone who is not rich or funny is not strong or happy and vice versa.
If someone is either not funny or not generous then someone is both rich and patient and vice versa.
If fred is happy then someone is both creative and not rich.
Everyone who is eit... | Lucy is not patient. | entailment | (((curious(alice)|old(alice)))<=>(~happy(fred)))&
(![X]:((~rich(X)|funny(X))<=>(~strong(X)|happy(X))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((rich(X)&patient(X)))))&
((happy(fred))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((~strong(X)<~>~funny(X))=>(funny(X)&kind(X))))&
((?[X]:(~humble(X)))=>(?[X]:((brave(X)<~... | ~patient(lucy) | [
"p1",
"p4",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7872655069671148545488362
% SZS output start Proof for 7872655069671148545488362
2. ! [X0] : ((funny(X0) | ~rich(X0)) <=> (happy(X0) | ~strong(X0))) [input p1]
5. ! [X0] : ((~strong(X0) <~> ~funny(X0)) => (kind(X0) & funny(X0))) [input p4]
8. ! [X0] : ((~kind(X0) <~> strong(X0)) => (~humb... | 0 |
Everyone who is both not patient and not happy is both humble and not quiet and vice versa.
If someone is either not creative or creative then lucy is either not old or generous.
Everyone who is not calm or not curious is either quiet or brave.
Everyone who is rich is kind and vice versa.
If mary is both not quiet and ... | Lucy is not quiet. | contradiction | (![X]:((~patient(X)&~happy(X))<=>(humble(X)&~quiet(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>((~old(lucy)<~>generous(lucy))))&
(![X]:((~calm(X)|~curious(X))=>(quiet(X)<~>brave(X))))&
(![X]:(rich(X)<=>kind(X)))&
(((~quiet(mary)&~happy(mary)))<=>(brave(alice)))&
(![X]:((~old(X)<~>~wise(X))=>(~calm(X)&happy(X))))&
((... | ~quiet(lucy) | [
"p0",
"p8",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1168493352394005468768361
% SZS output start Proof for 1168493352394005468768361
1. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (~quiet(X0) & humble(X0))) [input p0]
9. ! [X0] : ((kind(X0) | ~happy(X0)) <=> ~generous(X0)) [input p8]
10. ! [X0] : ((generous(X0) <~> ~quiet(X0)) <=> ~kind(X0))... | 0 |
Everyone who is not brave or curious is not tall or not strong and vice versa.
If someone is either not wise or not old then john is kind.
If someone is both not calm and funny then alice is not old.
Everyone who is either creative or patient is not tall and vice versa.
Everyone who is not kind is either not creative o... | Alice is not brave. | entailment | (![X]:((~brave(X)|curious(X))<=>(~tall(X)|~strong(X))))&
((?[X]:((~wise(X)<~>~old(X))))=>(kind(john)))&
((?[X]:((~calm(X)&funny(X))))=>(~old(alice)))&
(![X]:((creative(X)<~>patient(X))<=>~tall(X)))&
(![X]:(~kind(X)<=>(~creative(X)<~>patient(X))))&
(![X]:(wise(X)<=>(~generous(X)|tall(X))))&
((?[X]:((~humble(X)|~rich(X))... | ~brave(alice) | [
"p0",
"p3",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4125156316533980264579163
% SZS output start Proof for 4125156316533980264579163
1. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~strong(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((creative(X0) <~> patient(X0)) <=> ~tall(X0)) [input p3]
5. ! [X0] : (~kind(X0) <=> (~creative(X0) <~> patient(X0... | 0 |
Everyone who is both creative and not calm is old or tall.
If susan is creative or not funny then susan is tall.
If someone is not strong then someone is not humble and vice versa.
Everyone who is either not brave or not curious is not old or calm.
Everyone who is either not brave or not strong is both not quiet and no... | Lucy is not kind. | contradiction | (![X]:((creative(X)&~calm(X))=>(old(X)|tall(X))))&
(((creative(susan)|~funny(susan)))=>(tall(susan)))&
((?[X]:(~strong(X)))<=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)<~>~curious(X))=>(~old(X)|calm(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>(~quiet(X)&~strong(X))))&
(((~rich(susan)<~>~calm(susan)))=>(?[X]:((~patient(X)&wis... | ~kind(lucy) | [
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6646966016734125781496168
% SZS output start Proof for 6646966016734125781496168
9. ! [X0] : ((~patient(X0) | rich(X0)) => (~strong(X0) & brave(X0))) [input p8]
10. ! [X0] : (~kind(X0) <=> (~patient(X0) & happy(X0))) [input p9]
11. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> strong(X0)) [input... | 0 |
If someone is tall then someone is both not calm and not patient and vice versa.
If alice is generous then alice is either quiet or not happy.
Everyone who is either quiet or not quiet is both not creative and not strong and vice versa.
Everyone who is not quiet or not old is curious or old and vice versa.
Everyone who... | Alice is not happy. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~calm(X)&~patient(X)))))&
((generous(alice))=>((quiet(alice)<~>~happy(alice))))&
(![X]:((quiet(X)<~>~quiet(X))<=>(~creative(X)&~strong(X))))&
(![X]:((~quiet(X)|~old(X))<=>(curious(X)|old(X))))&
(![X]:(happy(X)=>(curious(X)&~kind(X))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((cre... | ~happy(alice) | [
"p2",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7044030577214382832187737
% SZS output start Proof for 7044030577214382832187737
3. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (~strong(X0) & ~creative(X0))) [input p2]
5. ! [X0] : (happy(X0) => (~kind(X0) & curious(X0))) [input p4]
13. ! [X0] : ((~old(X0) | ~strong(X0)) => (kind(X0) & rich... | 0 |
Everyone who is not kind is both wise and creative.
If fred is both not wise and patient then alice is either tall or not creative.
If someone is either not quiet or not brave then susan is either not patient or not kind and vice versa.
If fred is both curious and not rich then someone is strong or calm and vice versa.... | Susan is rich. | neutral | (![X]:(~kind(X)=>(wise(X)&creative(X))))&
(((~wise(fred)&patient(fred)))=>((tall(alice)<~>~creative(alice))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>((~patient(susan)<~>~kind(susan))))&
(((curious(fred)&~rich(fred)))<=>(?[X]:((strong(X)|calm(X)))))&
(((brave(mary)|curious(mary)))=>(?[X]:((humble(X)|curious(X)))))&
(![X]:... | rich(susan) | [] | null | 0 |
If someone is either not curious or strong then someone is either not curious or old and vice versa.
Everyone who is either not tall or not kind is either tall or curious.
Everyone who is either not calm or brave is not patient or strong and vice versa.
If someone is calm or patient then susan is both not tall and not ... | Mary is not wise. | entailment | ((?[X]:((~curious(X)<~>strong(X))))<=>(?[X]:((~curious(X)<~>old(X)))))&
(![X]:((~tall(X)<~>~kind(X))=>(tall(X)<~>curious(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(~patient(X)|strong(X))))&
((?[X]:((calm(X)|patient(X))))<=>((~tall(susan)&~calm(susan))))&
(![X]:((~generous(X)<~>wise(X))=>(funny(X)|kind(X))))&
(![X]:((happy(... | ~wise(mary) | [
"p3",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6602262293089781354514514
% SZS output start Proof for 6602262293089781354514514
4. ? [X0] : (patient(X0) | calm(X0)) <=> (~calm(susan) & ~tall(susan)) [input p3]
10. (~funny(susan) & tall(susan)) <=> ? [X0] : wise(X0) [input p9]
13. ! [X0] : ((tall(X0) & ~tall(X0)) <=> strong(X0)) [input... | 0 |
If fred is patient or happy then alice is either not curious or humble.
Everyone who is either patient or not rich is happy and vice versa.
Everyone who is patient is either not humble or tall.
Everyone who is not patient is both curious and wise and vice versa.
Everyone who is rich or happy is happy.
Everyone who is q... | Alice is not brave. | contradiction | (((patient(fred)|happy(fred)))=>((~curious(alice)<~>humble(alice))))&
(![X]:((patient(X)<~>~rich(X))<=>happy(X)))&
(![X]:(patient(X)=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(curious(X)&wise(X))))&
(![X]:((rich(X)|happy(X))=>happy(X)))&
(![X]:((quiet(X)|~kind(X))<=>old(X)))&
(![X]:((strong(X)&brave(X))=>(kind(X)... | ~brave(alice) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2794445777957921508136450
% SZS output start Proof for 2794445777957921508136450
1. (happy(fred) | patient(fred)) => (~curious(alice) <~> humble(alice)) [input p0]
3. ! [X0] : (patient(X0) => (~humble(X0) <~> tall(X0))) [input p2]
4. ! [X0] : (~patient(X0) <=> (wise(X0) & curious(X0))) [i... | 0 |
If alice is not strong or not curious then someone is curious.
If someone is brave then lucy is not strong or curious.
Everyone who is not generous is brave or not strong.
If someone is either strong or quiet then someone is both happy and not tall.
If john is either curious or not tall then someone is either not calm ... | Lucy is strong. | entailment | (((~strong(alice)|~curious(alice)))=>(?[X]:(curious(X))))&
((?[X]:(brave(X)))=>((~strong(lucy)|curious(lucy))))&
(![X]:(~generous(X)=>(brave(X)|~strong(X))))&
((?[X]:((strong(X)<~>quiet(X))))=>(?[X]:((happy(X)&~tall(X)))))&
(((curious(john)<~>~tall(john)))<=>(?[X]:((~calm(X)<~>tall(X)))))&
(((tall(susan)|~tall(susan)))... | strong(lucy) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2083557828507346215243492
% SZS output start Proof for 2083557828507346215243492
7. ! [X0] : ((~curious(X0) | ~strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p6]
15. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (generous(X0) & wise(X0))) [input p14]
25. ~strong(lucy) [input hypothesis]
55. ! ... | 0 |
Everyone who is both not humble and happy is not wise.
Everyone who is either creative or patient is not quiet and vice versa.
Everyone who is old is both rich and not wise.
If someone is not generous or happy then someone is both old and not tall and vice versa.
If alice is both not curious and creative then someone i... | Alice is not curious. | entailment | (![X]:((~humble(X)&happy(X))=>~wise(X)))&
(![X]:((creative(X)<~>patient(X))<=>~quiet(X)))&
(![X]:(old(X)=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:((old(X)&~tall(X)))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(!... | ~curious(alice) | [
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1981326233826816272318166
% SZS output start Proof for 1981326233826816272318166
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & generous(X0)) <=> ~curious(X0)) [input p7]
9. ! [X0] : (~humble(X0) <=> (funny(X0) & ~wise(X0))) [input ... | 0 |
Everyone who is either curious or creative is either not rich or not patient and vice versa.
If someone is not curious or not rich then someone is tall.
Everyone who is wise or happy is not strong or strong.
If someone is both calm and curious then someone is wise and vice versa.
If mary is either brave or creative the... | Mary is creative. | contradiction | (![X]:((curious(X)<~>creative(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((~curious(X)|~rich(X))))=>(?[X]:(tall(X))))&
(![X]:((wise(X)|happy(X))=>(~strong(X)|strong(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:(wise(X))))&
(((brave(mary)<~>creative(mary)))<=>((~wise(susan)&~funny(susan))))&
(((~calm(lucy)&~humble(lucy))... | creative(mary) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7876957155796606318879254
% SZS output start Proof for 7876957155796606318879254
5. (brave(mary) <~> creative(mary)) <=> (~funny(susan) & ~wise(susan)) [input p4]
7. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p6]
8. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humbl... | 0 |
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either not kind or not wise is either wise or not quiet and vice versa.
Everyone who is bot... | Alice is curious. | neutral | (![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>~creative(X)))&
(![X]:((... | curious(alice) | [] | null | 0 |
Everyone who is both not calm and generous is not old and vice versa.
If someone is not kind or tall then alice is either not calm or not patient and vice versa.
If alice is not old or not humble then someone is either not funny or humble.
If someone is both kind and curious then someone is either not funny or not quie... | Alice is not generous. | neutral | (![X]:((~calm(X)&generous(X))<=>~old(X)))&
((?[X]:((~kind(X)|tall(X))))<=>((~calm(alice)<~>~patient(alice))))&
(((~old(alice)|~humble(alice)))=>(?[X]:((~funny(X)<~>humble(X)))))&
((?[X]:((kind(X)&curious(X))))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:(~rich(X)=>~wise(X)))&
(((calm(paul)&~patient(paul)))=>((~generous(... | ~generous(alice) | [] | null | 0 |
Everyone who is not tall is both not brave and rich and vice versa.
If lucy is both creative and not creative then someone is not wise or quiet and vice versa.
If susan is both not happy and not curious then susan is both wise and funny and vice versa.
If someone is both not quiet and not old then someone is old or gen... | Fred is strong. | neutral | (![X]:(~tall(X)<=>(~brave(X)&rich(X))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:((~wise(X)|quiet(X)))))&
(((~happy(susan)&~curious(susan)))<=>((wise(susan)&funny(susan))))&
((?[X]:((~quiet(X)&~old(X))))<=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>... | strong(fred) | [] | null | 0 |
Everyone who is not kind or not creative is both quiet and not brave.
If mary is not kind or wise then paul is either not funny or not brave.
Everyone who is not rich is both not happy and not funny and vice versa.
If someone is not tall then paul is not creative.
If john is either not rich or not wise then fred is eit... | Paul is not wise. | entailment | (![X]:((~kind(X)|~creative(X))=>(quiet(X)&~brave(X))))&
(((~kind(mary)|wise(mary)))=>((~funny(paul)<~>~brave(paul))))&
(![X]:(~rich(X)<=>(~happy(X)&~funny(X))))&
((?[X]:(~tall(X)))=>(~creative(paul)))&
(((~rich(john)<~>~wise(john)))=>((~old(fred)<~>generous(fred))))&
(![X]:((~wise(X)&generous(X))=>~patient(X)))&
((?[X]... | ~wise(paul) | [
"p0",
"p3",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8754593594426962313268091
% SZS output start Proof for 8754593594426962313268091
1. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~brave(X0) & quiet(X0))) [input p0]
4. ? [X0] : ~tall(X0) => ~creative(paul) [input p3]
8. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p7]
15. ! [X0] ... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or old.
If someone is not curious or quiet then alice is either humble or not kind and vice versa.
If someone is not happy then someone is humble.
If someone is not tall or not brave then someone is both no... | Paul is patient. | contradiction | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:((~curious(X)|quiet(X))))<=>((humble(alice)<~>~kind(alice))))&
((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((creative(X)|wise(X))=>quiet(X... | patient(paul) | [
"p0",
"p4",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2838926163554230182821622
% SZS output start Proof for 2838926163554230182821622
1. ! [X0] : ((generous(X0) <~> curious(X0)) => wise(X0)) [input p0]
5. ? [X0] : (~brave(X0) | ~tall(X0)) <=> ? [X0] : (wise(X0) & ~tall(X0)) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => quiet(X0)) [in... | 0 |
If someone is not curious or happy then someone is not generous or wise.
If lucy is both not rich and creative then john is both not patient and tall.
If john is both humble and not curious then alice is either not happy or not wise.
Everyone who is curious is old or not creative and vice versa.
If john is either rich ... | John is curious. | entailment | ((?[X]:((~curious(X)|happy(X))))=>(?[X]:((~generous(X)|wise(X)))))&
(((~rich(lucy)&creative(lucy)))=>((~patient(john)&tall(john))))&
(((humble(john)&~curious(john)))=>((~happy(alice)<~>~wise(alice))))&
(![X]:(curious(X)<=>(old(X)|~creative(X))))&
(((rich(john)<~>~generous(john)))<=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X... | curious(john) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5477295882226937603129759
% SZS output start Proof for 5477295882226937603129759
4. ! [X0] : (curious(X0) <=> (~creative(X0) | old(X0))) [input p3]
8. ! [X0] : ((old(X0) | strong(X0)) <=> (strong(X0) <~> ~curious(X0))) [input p7]
23. ~curious(john) [input hypothesis]
37. ! [X0] : ((curiou... | 0 |
If susan is not patient then someone is both not funny and curious and vice versa. If someone is both wise and not kind then someone is strong or tall. Everyone who is both calm and not happy is brave or not curious. Everyone who is funny or brave is both not wise and humble. Everyone who is either not quiet or wise is... | Susan is not wise. | contradiction | ((~patient(susan))<=>(?[X]:((~funny(X)&curious(X)))))&
((?[X]:((wise(X)&~kind(X))))=>(?[X]:((strong(X)|tall(X)))))&
(![X]:((calm(X)&~happy(X))=>(brave(X)|~curious(X))))&
(![X]:((funny(X)|brave(X))=>(~wise(X)&humble(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>(quiet(X)&old(X))))&
(![X]:((strong(X)|~kind(X))=>(kind(X)&~old(X))... | ~wise(susan) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5497715306943091397548799
% SZS output start Proof for 5497715306943091397548799
5. ! [X0] : ((~quiet(X0) <~> wise(X0)) <=> (old(X0) & quiet(X0))) [input p4]
19. ~quiet(susan) [input p18]
25. ~wise(susan) [input hypothesis]
45. ! [X0] : ((((~wise(X0) | quiet(X0)) & (wise(X0) | ~quiet(X0))... | 0 |
Everyone who is not old or not patient is brave or not patient and vice versa.
Everyone who is either strong or not generous is both happy and not patient and vice versa.
Everyone who is brave or not happy is both kind and not calm.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not cal... | Lucy is not generous. | neutral | (![X]:((~old(X)|~patient(X))<=>(brave(X)|~patient(X))))&
(![X]:((strong(X)<~>~generous(X))<=>(happy(X)&~patient(X))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~... | ~generous(lucy) | [] | null | 0 |
If someone is not funny or humble then someone is both kind and not wise. Everyone who is humble is funny or humble and vice versa. Everyone who is old or not wise is quiet or not quiet and vice versa. If susan is either not tall or not brave then alice is either tall or not funny and vice versa. Everyone who is happy ... | Lucy is quiet. | contradiction | ((?[X]:((~funny(X)|humble(X))))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(humble(X)<=>(funny(X)|humble(X))))&
(![X]:((old(X)|~wise(X))<=>(quiet(X)|~quiet(X))))&
(((~tall(susan)<~>~brave(susan)))<=>((tall(alice)<~>~funny(alice))))&
(![X]:((happy(X)|strong(X))<=>(strong(X)&humble(X))))&
(![X]:((~patient(X)|tall(X))=>funny(X)... | quiet(lucy) | [
"p5",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 862389005544721452664817
% SZS output start Proof for 862389005544721452664817
6. ! [X0] : ((tall(X0) | ~patient(X0)) => funny(X0)) [input p5]
9. ? [X0] : (creative(X0) | quiet(X0)) => ? [X0] : (~brave(X0) & ~funny(X0)) [input p8]
12. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> ~happy(X0)) [inp... | 0 |
Everyone who is not rich or tall is rich and vice versa.
If paul is both creative and tall then someone is brave or tall and vice versa.
Everyone who is both not rich and generous is curious or not patient and vice versa.
Everyone who is either old or not brave is either not strong or wise and vice versa.
Everyone who ... | Paul is not tall. | contradiction | (![X]:((~rich(X)|tall(X))<=>rich(X)))&
(((creative(paul)&tall(paul)))<=>(?[X]:((brave(X)|tall(X)))))&
(![X]:((~rich(X)&generous(X))<=>(curious(X)|~patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((humble(X)&tall(X))=>(~generous(X)&~creative(X))))&
(![X]:((happy(X)|~rich(X))=>~calm(X)))&
(![... | ~tall(paul) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5549403235521259031615400
% SZS output start Proof for 5549403235521259031615400
1. ! [X0] : ((tall(X0) | ~rich(X0)) <=> rich(X0)) [input p0]
2. (tall(paul) & creative(paul)) <=> ? [X0] : (tall(X0) | brave(X0)) [input p1]
21. ~tall(paul) [input hypothesis]
34. ! [X0] : (((tall(X0) | ~rich... | 0 |
If mary is either kind or not calm then susan is either strong or not curious and vice versa. Everyone who is either old or creative is both not old and not funny and vice versa. Everyone who is either not patient or happy is not patient or not brave and vice versa. Everyone who is creative is not wise or rich. If some... | Alice is not generous. | neutral | (((kind(mary)<~>~calm(mary)))<=>((strong(susan)<~>~curious(susan))))&
(![X]:((old(X)<~>creative(X))<=>(~old(X)&~funny(X))))&
(![X]:((~patient(X)<~>happy(X))<=>(~patient(X)|~brave(X))))&
(![X]:(creative(X)=>(~wise(X)|rich(X))))&
((?[X]:((~brave(X)|happy(X))))<=>(?[X]:(strong(X))))&
((?[X]:((~old(X)<~>~funny(X))))<=>(?[X... | ~generous(alice) | [] | null | 0 |
Everyone who is either creative or not quiet is wise. Everyone who is creative or wise is either not wise or old and vice versa. Everyone who is calm is brave. Everyone who is either not quiet or generous is not curious or generous. Everyone who is not humble or curious is both funny and calm and vice versa. Everyone w... | John is brave. | neutral | (![X]:((creative(X)<~>~quiet(X))=>wise(X)))&
(![X]:((creative(X)|wise(X))<=>(~wise(X)<~>old(X))))&
(![X]:(calm(X)=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(... | brave(john) | [] | null | 0 |
Everyone who is not calm or not happy is both calm and creative and vice versa.
Everyone who is either happy or not brave is not generous.
Everyone who is both not brave and not rich is not creative or not happy and vice versa.
If susan is patient or not strong then john is either rich or not funny and vice versa.
Ever... | John is not old. | contradiction | (![X]:((~calm(X)|~happy(X))<=>(calm(X)&creative(X))))&
(![X]:((happy(X)<~>~brave(X))=>~generous(X)))&
(![X]:((~brave(X)&~rich(X))<=>(~creative(X)|~happy(X))))&
(((patient(susan)|~strong(susan)))<=>((rich(john)<~>~funny(john))))&
(![X]:((happy(X)|funny(X))<=>(~rich(X)&~wise(X))))&
(![X]:(~brave(X)=>(~tall(X)&~happy(X)))... | ~old(john) | [
"p2",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2243109387346662880363879
% SZS output start Proof for 2243109387346662880363879
3. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~happy(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((funny(X0) | happy(X0)) <=> (~wise(X0) & ~rich(X0))) [input p4]
6. ! [X0] : (~brave(X0) => (~happy(X0) & ~tall(X... | 0 |
Everyone who is either kind or not calm is not funny or not kind and vice versa.
Everyone who is both calm and not patient is rich or wise and vice versa.
Everyone who is funny or generous is happy and vice versa.
If someone is not curious or curious then someone is not quiet.
Everyone who is not wise is either tall or... | Susan is old. | neutral | (![X]:((kind(X)<~>~calm(X))<=>(~funny(X)|~kind(X))))&
(![X]:((calm(X)&~patient(X))<=>(rich(X)|wise(X))))&
(![X]:((funny(X)|generous(X))<=>happy(X)))&
((?[X]:((~curious(X)|curious(X))))=>(?[X]:(~quiet(X))))&
(![X]:(~wise(X)=>(tall(X)<~>wise(X))))&
(![X]:(quiet(X)=>(~patient(X)|rich(X))))&
(![X]:((~kind(X)&kind(X))=>(cal... | old(susan) | [] | null | 0 |
Everyone who is not kind is not brave.
If someone is both rich and funny then someone is either not curious or wise.
Everyone who is either brave or not old is calm and vice versa.
Everyone who is creative is not happy and vice versa.
If mary is not humble then someone is old.
If someone is not patient then fred is str... | Susan is not curious. | neutral | (![X]:(~kind(X)=>~brave(X)))&
((?[X]:((rich(X)&funny(X))))=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((brave(X)<~>~old(X))<=>calm(X)))&
(![X]:(creative(X)<=>~happy(X)))&
((~humble(mary))=>(?[X]:(old(X))))&
((?[X]:(~patient(X)))<=>(strong(fred)))&
(![X]:((quiet(X)&humble(X))=>(~tall(X)&patient(X))))&
(![X]:(~calm(X)<=>(... | ~curious(susan) | [] | null | 0 |
Everyone who is both tall and strong is either not curious or wise.
Everyone who is either not humble or not wise is either curious or not happy and vice versa.
Everyone who is either not strong or not tall is either calm or rich and vice versa.
If someone is both funny and strong then someone is not tall and vice vers... | Lucy is not rich. | neutral | (![X]:((tall(X)&strong(X))=>(~curious(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(curious(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(calm(X)<~>rich(X))))&
((?[X]:((funny(X)&strong(X))))<=>(?[X]:(~tall(X))))&
(((~generous(alice)|~rich(alice)))=>(?[X]:(strong(X))))&
(![X]:((~curious(X)&~old(X))<=>(creati... | ~rich(lucy) | [] | null | 0 |
Everyone who is patient or not humble is calm. If someone is both not happy and wise then someone is generous and vice versa. Everyone who is not kind or not quiet is strong. If someone is tall then alice is both not generous and not quiet. Everyone who is quiet or generous is either calm or not curious and vice versa.... | Lucy is funny. | entailment | (![X]:((patient(X)|~humble(X))=>calm(X)))&
((?[X]:((~happy(X)&wise(X))))<=>(?[X]:(generous(X))))&
(![X]:((~kind(X)|~quiet(X))=>strong(X)))&
((?[X]:(tall(X)))=>((~generous(alice)&~quiet(alice))))&
(![X]:((quiet(X)|generous(X))<=>(calm(X)<~>~curious(X))))&
(![X]:((~rich(X)&~curious(X))<=>~funny(X)))&
(![X]:(~strong(X)<=>... | funny(lucy) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5317672710657028926919504
% SZS output start Proof for 5317672710657028926919504
1. ! [X0] : ((~humble(X0) | patient(X0)) => calm(X0)) [input p0]
5. ! [X0] : ((generous(X0) | quiet(X0)) <=> (calm(X0) <~> ~curious(X0))) [input p4]
6. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> ~funny(X0)) [in... | 0 |
Everyone who is both not rich and strong is not creative.
If lucy is either not humble or not rich then susan is either not funny or brave.
Everyone who is both not generous and not calm is tall or strong.
Everyone who is not calm is old and vice versa.
If lucy is both strong and generous then paul is kind and vice ver... | Susan is humble. | entailment | (![X]:((~rich(X)&strong(X))=>~creative(X)))&
(((~humble(lucy)<~>~rich(lucy)))=>((~funny(susan)<~>brave(susan))))&
(![X]:((~generous(X)&~calm(X))=>(tall(X)|strong(X))))&
(![X]:(~calm(X)<=>old(X)))&
(((strong(lucy)&generous(lucy)))<=>(kind(paul)))&
(![X]:((~brave(X)&quiet(X))<=>humble(X)))&
(![X]:((~rich(X)|calm(X))<=>(w... | humble(susan) | [
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7187552046225277625720278
% SZS output start Proof for 7187552046225277625720278
4. ! [X0] : (~calm(X0) <=> old(X0)) [input p3]
7. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (humble(X0) & wise(X0))) [input p6]
14. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> ~old(X0)) [input p13]
23. ~humble(susan) [i... | 0 |
Everyone who is both strong and humble is either brave or not happy. Everyone who is either patient or curious is either creative or not curious. Everyone who is both patient and happy is not funny or not wise and vice versa. If lucy is kind then someone is either not wise or not calm. If someone is not generous or bra... | Paul is generous. | entailment | (![X]:((strong(X)&humble(X))=>(brave(X)<~>~happy(X))))&
(![X]:((patient(X)<~>curious(X))=>(creative(X)<~>~curious(X))))&
(![X]:((patient(X)&happy(X))<=>(~funny(X)|~wise(X))))&
((kind(lucy))=>(?[X]:((~wise(X)<~>~calm(X)))))&
((?[X]:((~generous(X)|brave(X))))=>(?[X]:((~tall(X)|~calm(X)))))&
(![X]:((quiet(X)|~generous(X))... | generous(paul) | [
"p2",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5111955995695198570413035
% SZS output start Proof for 5111955995695198570413035
3. ! [X0] : ((happy(X0) & patient(X0)) <=> (~wise(X0) | ~funny(X0))) [input p2]
6. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (~old(X0) & calm(X0))) [input p5]
8. ! [X0] : ((~rich(X0) | happy(X0)) => (~calm(X0... | 0 |
Everyone who is both calm and patient is funny or wise.
If susan is tall or not quiet then john is both not rich and not curious and vice versa.
Everyone who is both not wise and wise is not patient and vice versa.
Everyone who is either not creative or old is both wise and not strong.
If susan is rich or kind then som... | Paul is curious. | neutral | (![X]:((calm(X)&patient(X))=>(funny(X)|wise(X))))&
(((tall(susan)|~quiet(susan)))<=>((~rich(john)&~curious(john))))&
(![X]:((~wise(X)&wise(X))<=>~patient(X)))&
(![X]:((~creative(X)<~>old(X))=>(wise(X)&~strong(X))))&
(((rich(susan)|kind(susan)))=>(?[X]:((~calm(X)|rich(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((~calm(X)<~>~... | curious(paul) | [] | null | 0 |
Everyone who is both patient and rich is either not patient or funny and vice versa.
Everyone who is either not calm or calm is both not old and not tall and vice versa.
Everyone who is either tall or old is either not kind or curious and vice versa.
Everyone who is both not brave and strong is not humble and vice vers... | John is brave. | neutral | (![X]:((patient(X)&rich(X))<=>(~patient(X)<~>funny(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(~old(X)&~tall(X))))&
(![X]:((tall(X)<~>old(X))<=>(~kind(X)<~>curious(X))))&
(![X]:((~brave(X)&strong(X))<=>~humble(X)))&
(((~old(fred)<~>happy(fred)))=>(?[X]:((kind(X)|patient(X)))))&
((?[X]:((creative(X)&~rich(X))))<=>(?[X]:(~funn... | brave(john) | [] | null | 0 |
If mary is both not curious and kind then someone is both quiet and not tall and vice versa.
Everyone who is both not tall and not curious is both not brave and curious and vice versa.
Everyone who is either brave or generous is both brave and curious and vice versa.
Everyone who is either not rich or strong is either ... | Lucy is not patient. | neutral | (((~curious(mary)&kind(mary)))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~tall(X)&~curious(X))<=>(~brave(X)&curious(X))))&
(![X]:((brave(X)<~>generous(X))<=>(brave(X)&curious(X))))&
(![X]:((~rich(X)<~>strong(X))<=>(strong(X)<~>brave(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~kind(X)&calm(X)))))&
((?[X]:((~creativ... | ~patient(lucy) | [] | null | 0 |
Everyone who is either not kind or kind is tall.
If paul is both not tall and not creative then fred is either wise or not patient and vice versa.
If someone is not curious then alice is old or not patient and vice versa.
If someone is tall or not quiet then susan is either wise or not humble.
Everyone who is not humbl... | Alice is strong. | entailment | (![X]:((~kind(X)<~>kind(X))=>tall(X)))&
(((~tall(paul)&~creative(paul)))<=>((wise(fred)<~>~patient(fred))))&
((?[X]:(~curious(X)))<=>((old(alice)|~patient(alice))))&
((?[X]:((tall(X)|~quiet(X))))=>((wise(susan)<~>~humble(susan))))&
(![X]:(~humble(X)<=>(generous(X)&calm(X))))&
(![X]:((curious(X)&~happy(X))=>(~happy(X)|f... | strong(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2500208012456798913152405
% SZS output start Proof for 2500208012456798913152405
8. ! [X0] : ((~happy(X0) | happy(X0)) => (~curious(X0) & strong(X0))) [input p7]
23. ~strong(alice) [input hypothesis]
31. ! [X0] : ((~curious(X0) & strong(X0)) | (happy(X0) & ~happy(X0))) [ennf transformatio... | 0 |
If alice is not creative then john is generous and vice versa. If someone is both rich and quiet then john is creative. If alice is either humble or not rich then someone is both kind and humble. Everyone who is either rich or not tall is rich and vice versa. If mary is not kind then susan is not humble or calm and vic... | Alice is rich. | neutral | ((~creative(alice))<=>(generous(john)))&
((?[X]:((rich(X)&quiet(X))))=>(creative(john)))&
(((humble(alice)<~>~rich(alice)))=>(?[X]:((kind(X)&humble(X)))))&
(![X]:((rich(X)<~>~tall(X))<=>rich(X)))&
((~kind(mary))<=>((~humble(susan)|calm(susan))))&
((?[X]:((brave(X)<~>~calm(X))))=>((wise(paul)|happy(paul))))&
(![X]:((bra... | rich(alice) | [] | null | 0 |
Everyone who is calm or not humble is generous or rich and vice versa.
If paul is not curious or strong then fred is either patient or wise.
If someone is humble then alice is not brave and vice versa.
If someone is both not patient and wise then someone is both not tall and not happy and vice versa.
If alice is humble... | Fred is calm. | entailment | (![X]:((calm(X)|~humble(X))<=>(generous(X)|rich(X))))&
(((~curious(paul)|strong(paul)))=>((patient(fred)<~>wise(fred))))&
((?[X]:(humble(X)))<=>(~brave(alice)))&
((?[X]:((~patient(X)&wise(X))))<=>(?[X]:((~tall(X)&~happy(X)))))&
((humble(alice))<=>((~humble(paul)&kind(paul))))&
(![X]:((~humble(X)<~>patient(X))<=>~genero... | calm(fred) | [
"p0",
"p5",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3845846650848150642578460
% SZS output start Proof for 3845846650848150642578460
1. ! [X0] : ((~humble(X0) | calm(X0)) <=> (rich(X0) | generous(X0))) [input p0]
6. ! [X0] : ((~humble(X0) <~> patient(X0)) <=> ~generous(X0)) [input p5]
7. ! [X0] : (rich(X0) <=> (~happy(X0) <~> patient(X0)))... | 0 |
Everyone who is not tall or happy is brave and vice versa. If someone is either quiet or not kind then someone is either strong or patient. Everyone who is funny or kind is either not old or creative. If paul is either not patient or calm then susan is either wise or not calm. If someone is not old then someone is not ... | Mary is not strong. | entailment | (![X]:((~tall(X)|happy(X))<=>brave(X)))&
((?[X]:((quiet(X)<~>~kind(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((funny(X)|kind(X))=>(~old(X)<~>creative(X))))&
(((~patient(paul)<~>calm(paul)))=>((wise(susan)<~>~calm(susan))))&
((?[X]:(~old(X)))<=>(?[X]:((~curious(X)|~humble(X)))))&
(![X]:((happy(X)&calm(X))=>(old(X... | ~strong(mary) | [
"p5",
"p7",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1747721516903479486122874
% SZS output start Proof for 1747721516903479486122874
6. ! [X0] : ((calm(X0) & happy(X0)) => (~strong(X0) & old(X0))) [input p5]
8. ! [X0] : ((wise(X0) & calm(X0)) <=> (curious(X0) & wise(X0))) [input p7]
12. ! [X0] : ((kind(X0) | humble(X0)) <=> (~wise(X0) <~> ... | 0 |
If paul is either kind or calm then lucy is either tall or kind and vice versa. If fred is old then lucy is both quiet and patient. If someone is quiet or curious then someone is both not creative and funny. If fred is both generous and wise then someone is both not old and not creative and vice versa. Everyone who is ... | Fred is not patient. | entailment | (((kind(paul)<~>calm(paul)))<=>((tall(lucy)<~>kind(lucy))))&
((old(fred))=>((quiet(lucy)&patient(lucy))))&
((?[X]:((quiet(X)|curious(X))))=>(?[X]:((~creative(X)&funny(X)))))&
(((generous(fred)&wise(fred)))<=>(?[X]:((~old(X)&~creative(X)))))&
(![X]:((curious(X)<~>creative(X))=>humble(X)))&
((?[X]:((~funny(X)|funny(X))))... | ~patient(fred) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2945270525047710889835546
% SZS output start Proof for 2945270525047710889835546
10. ! [X0] : ((~kind(X0) | patient(X0)) <=> ~strong(X0)) [input p9]
20. strong(fred) [input p19]
25. patient(fred) [input hypothesis]
54. ! [X0] : (((~kind(X0) | patient(X0)) | strong(X0)) & (~strong(X0) | (k... | 0 |
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