premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is wise then susan is either strong or wise and vice versa.
Everyone who is not wise is humble and vice versa.
If lucy is both humble and not patient then someone is generous or not curious.
Everyone who is both not happy and not calm is both not wise and rich.
Everyone who is brave is creative or patient an... | Alice is not quiet. | neutral | ((?[X]:(wise(X)))<=>((strong(susan)<~>wise(susan))))&
(![X]:(~wise(X)<=>humble(X)))&
(((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((~happy(X)&~calm(X))=>(~wise(X)&rich(X))))&
(![X]:(brave(X)<=>(creative(X)|patient(X))))&
(((~brave(lucy)<~>generous(lucy)))<=>((curious(lucy)&calm(lucy))))&... | ~quiet(alice) | [] | null | 0 |
Everyone who is either strong or generous is both not curious and not wise.
If someone is not happy then someone is both not patient and not calm and vice versa.
Everyone who is not funny is both humble and funny and vice versa.
If fred is either old or not calm then fred is curious or funny.
Everyone who is generous i... | Alice is generous. | entailment | (![X]:((strong(X)<~>generous(X))=>(~curious(X)&~wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:(~funny(X)<=>(humble(X)&funny(X))))&
(((old(fred)<~>~calm(fred)))=>((curious(fred)|funny(fred))))&
(![X]:(generous(X)=>wise(X)))&
(((~kind(lucy)<~>~generous(lucy)))<=>((~happy(john)|~funny(john))))&... | generous(alice) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 10134532052309424976729
% SZS output start Proof for 10134532052309424976729
10. ! [X0] : ((~happy(X0) <~> ~generous(X0)) <=> (happy(X0) <~> strong(X0))) [input p9]
15. ! [X0] : (~strong(X0) <=> (kind(X0) & strong(X0))) [input p14]
22. ~generous(alice) [input hypothesis]
50. ! [X0] : ((((... | 0 |
If lucy is either not patient or not old then susan is both not brave and not kind.
Everyone who is both not funny and not rich is both happy and funny.
Everyone who is not wise is both not tall and not rich.
Everyone who is both calm and creative is brave and vice versa.
Everyone who is both not brave and curious is b... | Susan is quiet. | entailment | (((~patient(lucy)<~>~old(lucy)))=>((~brave(susan)&~kind(susan))))&
(![X]:((~funny(X)&~rich(X))=>(happy(X)&funny(X))))&
(![X]:(~wise(X)=>(~tall(X)&~rich(X))))&
(![X]:((calm(X)&creative(X))<=>brave(X)))&
(![X]:((~brave(X)&curious(X))=>(curious(X)&~quiet(X))))&
(![X]:(quiet(X)<=>(wise(X)|~patient(X))))&
(![X]:(tall(X)<=>~... | quiet(susan) | [
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9102643148106635440921154
% SZS output start Proof for 9102643148106635440921154
6. ! [X0] : (quiet(X0) <=> (~patient(X0) | wise(X0))) [input p5]
7. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p6]
11. ! [X0] : (~tall(X0) <=> (~patient(X0) | quiet(X0))) [input p10]
14. ! [X0] : (~generous... | 0 |
If someone is not generous or humble then fred is rich and vice versa.
If alice is not wise or calm then mary is both not calm and not funny and vice versa.
Everyone who is either not generous or wise is kind and vice versa.
If susan is both not humble and creative then fred is not humble or generous.
If paul is both q... | Paul is strong. | contradiction | ((?[X]:((~generous(X)|humble(X))))<=>(rich(fred)))&
(((~wise(alice)|calm(alice)))<=>((~calm(mary)&~funny(mary))))&
(![X]:((~generous(X)<~>wise(X))<=>kind(X)))&
(((~humble(susan)&creative(susan)))=>((~humble(fred)|generous(fred))))&
(((quiet(paul)&rich(paul)))=>((generous(lucy)|rich(lucy))))&
(![X]:((rich(X)<~>strong(X)... | strong(paul) | [
"p10",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3274838305813764796239043
% SZS output start Proof for 3274838305813764796239043
11. ! [X0] : ((~strong(X0) & ~creative(X0)) <=> (~curious(X0) <~> old(X0))) [input p10]
13. ! [X0] : ((~patient(X0) | ~curious(X0)) => (rich(X0) & ~humble(X0))) [input p12]
14. ! [X0] : ((~humble(X0) <~> curi... | 0 |
Everyone who is both old and not quiet is either not kind or not curious and vice versa.
Everyone who is both curious and not curious is either generous or quiet and vice versa.
Everyone who is not happy is both not calm and not tall.
If john is either not wise or not humble then someone is strong or not calm.
If alice... | Paul is curious. | neutral | (![X]:((old(X)&~quiet(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((curious(X)&~curious(X))<=>(generous(X)<~>quiet(X))))&
(![X]:(~happy(X)=>(~calm(X)&~tall(X))))&
(((~wise(john)<~>~humble(john)))=>(?[X]:((strong(X)|~calm(X)))))&
(((~funny(alice)&humble(alice)))<=>((old(lucy)&~tall(lucy))))&
(![X]:((~patient(X)<~>brave(X))<... | curious(paul) | [] | null | 0 |
If someone is not old or curious then lucy is not creative or curious. If someone is both not rich and not quiet then john is brave and vice versa. Everyone who is strong or not creative is brave. Everyone who is both not brave and old is either not kind or quiet and vice versa. Everyone who is either not rich or not h... | John is not kind. | neutral | ((?[X]:((~old(X)|curious(X))))=>((~creative(lucy)|curious(lucy))))&
((?[X]:((~rich(X)&~quiet(X))))<=>(brave(john)))&
(![X]:((strong(X)|~creative(X))=>brave(X)))&
(![X]:((~brave(X)&old(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((~rich(X)<~>~happy(X))<=>(~brave(X)|tall(X))))&
((?[X]:((~humble(X)|~calm(X))))<=>(?[X]:((brave(X)... | ~kind(john) | [] | null | 0 |
Everyone who is not humble or brave is both not rich and not happy and vice versa.
If mary is tall then someone is not strong and vice versa.
If alice is either brave or not calm then someone is either old or not strong and vice versa.
Everyone who is not curious or calm is not calm and vice versa.
If mary is not calm ... | Paul is not calm. | entailment | (![X]:((~humble(X)|brave(X))<=>(~rich(X)&~happy(X))))&
((tall(mary))<=>(?[X]:(~strong(X))))&
(((brave(alice)<~>~calm(alice)))<=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:((~curious(X)|calm(X))<=>~calm(X)))&
((~calm(mary))=>(?[X]:(~creative(X))))&
(![X]:((patient(X)<~>old(X))=>(curious(X)<~>~curious(X))))&
(![X]:(happy(X)=... | ~calm(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2890511922920262123559144
% SZS output start Proof for 2890511922920262123559144
4. ! [X0] : ((calm(X0) | ~curious(X0)) <=> ~calm(X0)) [input p3]
23. calm(paul) [input hypothesis]
43. ! [X0] : (((calm(X0) | ~curious(X0)) | calm(X0)) & (~calm(X0) | (~calm(X0) & curious(X0)))) [nnf transfor... | 0 |
Everyone who is not old or generous is not creative.
Everyone who is both tall and not creative is both not calm and not creative.
Everyone who is not curious is strong and vice versa.
If someone is both not brave and not calm then lucy is not humble or not tall and vice versa.
Everyone who is either not quiet or calm ... | Lucy is not calm. | contradiction | (![X]:((~old(X)|generous(X))=>~creative(X)))&
(![X]:((tall(X)&~creative(X))=>(~calm(X)&~creative(X))))&
(![X]:(~curious(X)<=>strong(X)))&
((?[X]:((~brave(X)&~calm(X))))<=>((~humble(lucy)|~tall(lucy))))&
(![X]:((~quiet(X)<~>calm(X))=>quiet(X)))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:(curious(X))))&
(![X]:((strong(X... | ~calm(lucy) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4563202712939504117531917
% SZS output start Proof for 4563202712939504117531917
5. ! [X0] : ((~quiet(X0) <~> calm(X0)) => quiet(X0)) [input p4]
10. ! [X0] : (calm(X0) <=> (quiet(X0) | rich(X0))) [input p9]
25. ~calm(lucy) [input hypothesis]
31. ! [X0] : (quiet(X0) | (~quiet(X0) <=> calm(... | 0 |
If someone is either not funny or funny then someone is not tall or not generous and vice versa.
Everyone who is either humble or not curious is both patient and curious and vice versa.
Everyone who is both not creative and not old is either not rich or not quiet.
Everyone who is funny or kind is both rich and old.
If ... | Lucy is funny. | entailment | ((?[X]:((~funny(X)<~>funny(X))))<=>(?[X]:((~tall(X)|~generous(X)))))&
(![X]:((humble(X)<~>~curious(X))<=>(patient(X)&curious(X))))&
(![X]:((~creative(X)&~old(X))=>(~rich(X)<~>~quiet(X))))&
(![X]:((funny(X)|kind(X))=>(rich(X)&old(X))))&
((?[X]:((~calm(X)&brave(X))))=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((~strong(X)&~... | funny(lucy) | [
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 500269017783439429660335
% SZS output start Proof for 500269017783439429660335
4. ! [X0] : ((kind(X0) | funny(X0)) => (old(X0) & rich(X0))) [input p3]
10. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> (strong(X0) <~> funny(X0))) [input p9]
15. ! [X0] : ((wise(X0) & strong(X0)) <=> (patient(X0) ... | 0 |
If someone is both not humble and calm then someone is patient. Everyone who is not patient is either patient or old. If someone is kind or old then fred is either not generous or not happy and vice versa. If mary is both kind and not rich then someone is both rich and not tall and vice versa. If someone is both creati... | Susan is not strong. | contradiction | ((?[X]:((~humble(X)&calm(X))))=>(?[X]:(patient(X))))&
(![X]:(~patient(X)=>(patient(X)<~>old(X))))&
((?[X]:((kind(X)|old(X))))<=>((~generous(fred)<~>~happy(fred))))&
(((kind(mary)&~rich(mary)))<=>(?[X]:((rich(X)&~tall(X)))))&
((?[X]:((creative(X)&tall(X))))<=>(tall(susan)))&
(![X]:((~calm(X)&~old(X))<=>patient(X)))&
(![... | ~strong(susan) | [
"p5",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7692578078509427157783203
% SZS output start Proof for 7692578078509427157783203
6. ! [X0] : ((~old(X0) & ~calm(X0)) <=> patient(X0)) [input p5]
9. ! [X0] : (~patient(X0) => (~strong(X0) <~> ~creative(X0))) [input p8]
11. ! [X0] : (strong(X0) <=> (~kind(X0) | ~old(X0))) [input p10]
15. ! ... | 0 |
Everyone who is strong or not quiet is both brave and not generous and vice versa.
Everyone who is not happy is not funny.
If john is kind or creative then someone is both patient and creative and vice versa.
Everyone who is either generous or quiet is either brave or old and vice versa.
If someone is both kind and not... | John is not curious. | neutral | (![X]:((strong(X)|~quiet(X))<=>(brave(X)&~generous(X))))&
(![X]:(~happy(X)=>~funny(X)))&
(((kind(john)|creative(john)))<=>(?[X]:((patient(X)&creative(X)))))&
(![X]:((generous(X)<~>quiet(X))<=>(brave(X)<~>old(X))))&
((?[X]:((kind(X)&~quiet(X))))=>((rich(lucy)|~strong(lucy))))&
(![X]:(~old(X)=>(~kind(X)<~>generous(X))))&... | ~curious(john) | [] | null | 0 |
Everyone who is either tall or calm is either quiet or not humble.
If john is both not kind and creative then someone is both not creative and not kind and vice versa.
Everyone who is brave or wise is old or curious and vice versa.
If someone is both not calm and not humble then alice is creative and vice versa.
Everyo... | John is not creative. | neutral | (![X]:((tall(X)<~>calm(X))=>(quiet(X)<~>~humble(X))))&
(((~kind(john)&creative(john)))<=>(?[X]:((~creative(X)&~kind(X)))))&
(![X]:((brave(X)|wise(X))<=>(old(X)|curious(X))))&
((?[X]:((~calm(X)&~humble(X))))<=>(creative(alice)))&
(![X]:(curious(X)<=>~rich(X)))&
(((~wise(fred)<~>~quiet(fred)))<=>((quiet(john)<~>~calm(joh... | ~creative(john) | [] | null | 0 |
If someone is both creative and not wise then someone is old or not generous.
Everyone who is both quiet and creative is both brave and generous and vice versa.
If susan is generous then someone is either not creative or quiet.
If fred is either humble or not rich then lucy is both not curious and happy.
If alice is pa... | Lucy is quiet. | contradiction | ((?[X]:((creative(X)&~wise(X))))=>(?[X]:((old(X)|~generous(X)))))&
(![X]:((quiet(X)&creative(X))<=>(brave(X)&generous(X))))&
((generous(susan))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(((humble(fred)<~>~rich(fred)))=>((~curious(lucy)&happy(lucy))))&
(((patient(alice)|~strong(alice)))=>(tall(fred)))&
((?[X]:((~calm(X)|cal... | quiet(lucy) | [
"p1",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8435287857966853253553846
% SZS output start Proof for 8435287857966853253553846
2. ! [X0] : ((creative(X0) & quiet(X0)) <=> (generous(X0) & brave(X0))) [input p1]
19. ~generous(lucy) [input p18]
24. creative(lucy) [input p23]
25. quiet(lucy) [input hypothesis]
41. ! [X0] : (((creative(X0... | 0 |
If someone is generous or not happy then someone is either not patient or rich.
If someone is both happy and not quiet then fred is not quiet.
Everyone who is curious is either patient or happy.
Everyone who is happy is not wise or patient.
Everyone who is not patient is either strong or not creative.
Everyone who is n... | Fred is not strong. | contradiction | ((?[X]:((generous(X)|~happy(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
((?[X]:((happy(X)&~quiet(X))))=>(~quiet(fred)))&
(![X]:(curious(X)=>(patient(X)<~>happy(X))))&
(![X]:(happy(X)=>(~wise(X)|patient(X))))&
(![X]:(~patient(X)=>(strong(X)<~>~creative(X))))&
(![X]:((~humble(X)|quiet(X))<=>(~strong(X)|old(X))))&
(![X]:((p... | ~strong(fred) | [
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2757806461132298596700555
% SZS output start Proof for 2757806461132298596700555
6. ! [X0] : ((quiet(X0) | ~humble(X0)) <=> (old(X0) | ~strong(X0))) [input p5]
13. ! [X0] : ((brave(X0) | patient(X0)) <=> (strong(X0) & ~happy(X0))) [input p12]
15. ! [X0] : (humble(X0) <=> (~old(X0) | ~stro... | 0 |
If lucy is not tall or curious then fred is both wise and patient and vice versa.
If alice is not funny then someone is both not happy and funny.
Everyone who is not funny is not tall.
If susan is not funny or tall then paul is not humble or strong and vice versa.
Everyone who is either not humble or not funny is not t... | John is not brave. | contradiction | (((~tall(lucy)|curious(lucy)))<=>((wise(fred)&patient(fred))))&
((~funny(alice))=>(?[X]:((~happy(X)&funny(X)))))&
(![X]:(~funny(X)=>~tall(X)))&
(((~funny(susan)|tall(susan)))<=>((~humble(paul)|strong(paul))))&
(![X]:((~humble(X)<~>~funny(X))<=>~tall(X)))&
(![X]:(~kind(X)=>(~strong(X)<~>wise(X))))&
((?[X]:((wise(X)|funn... | ~brave(john) | [
"p2",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6943907274299322120733275
% SZS output start Proof for 6943907274299322120733275
3. ! [X0] : (~funny(X0) => ~tall(X0)) [input p2]
5. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p4]
10. ! [X0] : ((~strong(X0) <~> ~brave(X0)) => ~tall(X0)) [input p9]
13. ! [X0] : ((~quiet(X... | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Fred is funny. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | funny(fred) | [
"p1",
"p2",
"p3",
"p7",
"p10",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 344585762428791324895785
% SZS output start Proof for 344585762428791324895785
2. ! [X0] : (~brave(X0) <=> (generous(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> brave(X0)) <=> (~curious(X0)... | 0 |
If someone is both generous and old then someone is either patient or old and vice versa. Everyone who is not wise or not humble is generous. Everyone who is kind or humble is either quiet or not brave and vice versa. Everyone who is either not strong or not patient is funny or not strong. If someone is either not quie... | Paul is strong. | contradiction | ((?[X]:((generous(X)&old(X))))<=>(?[X]:((patient(X)<~>old(X)))))&
(![X]:((~wise(X)|~humble(X))=>generous(X)))&
(![X]:((kind(X)|humble(X))<=>(quiet(X)<~>~brave(X))))&
(![X]:((~strong(X)<~>~patient(X))=>(funny(X)|~strong(X))))&
((?[X]:((~quiet(X)<~>kind(X))))=>(?[X]:((~rich(X)&tall(X)))))&
(![X]:((brave(X)&~quiet(X))<=>(... | strong(paul) | [
"p2",
"p3",
"p5",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 129762655730295961765710
% SZS output start Proof for 129762655730295961765710
3. ! [X0] : ((humble(X0) | kind(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~patient(X0)) => (~strong(X0) | funny(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) & brave(X0)) <=> (pa... | 0 |
If john is not rich then alice is not quiet.
Everyone who is not quiet is not generous.
Everyone who is not calm or not curious is both wise and not wise.
If mary is either not rich or curious then someone is either brave or happy.
Everyone who is either not brave or curious is both strong and kind.
Everyone who is not... | John is not humble. | contradiction | ((~rich(john))=>(~quiet(alice)))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((~calm(X)|~curious(X))=>(wise(X)&~wise(X))))&
(((~rich(mary)<~>curious(mary)))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>curious(X))=>(strong(X)&kind(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
(((brave(john)&calm(john)))=>(?[X... | ~humble(john) | [
"p1",
"p2",
"p5",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3729903880663095540722098
% SZS output start Proof for 3729903880663095540722098
2. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p1]
3. ! [X0] : ((~curious(X0) | ~calm(X0)) => (~wise(X0) & wise(X0))) [input p2]
6. ! [X0] : (~curious(X0) <=> (tall(X0) & quiet(X0))) [input p5]
8. ! [X0] : ... | 0 |
If fred is not strong or not rich then alice is both generous and happy and vice versa. Everyone who is not brave or funny is both not patient and wise and vice versa. Everyone who is either quiet or not creative is quiet and vice versa. If someone is curious then mary is old. If someone is either quiet or rich then fr... | Alice is not strong. | neutral | (((~strong(fred)|~rich(fred)))<=>((generous(alice)&happy(alice))))&
(![X]:((~brave(X)|funny(X))<=>(~patient(X)&wise(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>quiet(X)))&
((?[X]:(curious(X)))=>(old(mary)))&
((?[X]:((quiet(X)<~>rich(X))))=>((~quiet(fred)|~rich(fred))))&
(((~strong(susan)&~humble(susan)))<=>((~humble(mary... | ~strong(alice) | [] | null | 0 |
If fred is not humble or wise then someone is not old or not rich.
If lucy is either not happy or brave then fred is either quiet or not wise.
Everyone who is not rich or not tall is not happy.
Everyone who is either wise or curious is creative.
If someone is both not humble and old then someone is both not happy and c... | Mary is not humble. | entailment | (((~humble(fred)|wise(fred)))=>(?[X]:((~old(X)|~rich(X)))))&
(((~happy(lucy)<~>brave(lucy)))=>((quiet(fred)<~>~wise(fred))))&
(![X]:((~rich(X)|~tall(X))=>~happy(X)))&
(![X]:((wise(X)<~>curious(X))=>creative(X)))&
((?[X]:((~humble(X)&old(X))))<=>(?[X]:((~happy(X)&calm(X)))))&
((?[X]:((~kind(X)<~>brave(X))))<=>(?[X]:(~br... | ~humble(mary) | [
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3300131351557351607114095
% SZS output start Proof for 3300131351557351607114095
10. ! [X0] : (curious(X0) <=> (quiet(X0) <~> old(X0))) [input p9]
12. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (quiet(X0) | curious(X0))) [input p11]
13. ! [X0] : ((curious(X0) & ~tall(X0)) <=> tall(X0)) [input... | 0 |
Everyone who is not quiet is either brave or not kind.
If susan is both rich and not humble then someone is calm.
Everyone who is patient is not happy and vice versa.
If susan is not strong then fred is both not old and quiet.
If someone is both funny and not brave then someone is brave or not quiet and vice versa.
Eve... | Susan is not happy. | contradiction | (![X]:(~quiet(X)=>(brave(X)<~>~kind(X))))&
(((rich(susan)&~humble(susan)))=>(?[X]:(calm(X))))&
(![X]:(patient(X)<=>~happy(X)))&
((~strong(susan))=>((~old(fred)&quiet(fred))))&
((?[X]:((funny(X)&~brave(X))))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((quiet(X)&~quiet(X))=>(~kind(X)|happy(X))))&
(![X]:((~happy(X)&humble(X)... | ~happy(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7507518346432038402995606
% SZS output start Proof for 7507518346432038402995606
20. happy(susan) [input p19]
25. ~happy(susan) [input hypothesis]
118. happy(susan) [cnf transformation 20]
126. ~happy(susan) [cnf transformation 25]
268. $false [subsumption resolution 126,118]
% SZS output... | 0 |
If someone is not quiet or patient then lucy is happy and vice versa.
If lucy is funny then lucy is either not funny or tall.
If john is not patient or humble then someone is not humble.
If alice is both generous and not wise then lucy is not quiet and vice versa.
Everyone who is not tall is not calm and vice versa.
If... | Lucy is not quiet. | contradiction | ((?[X]:((~quiet(X)|patient(X))))<=>(happy(lucy)))&
((funny(lucy))=>((~funny(lucy)<~>tall(lucy))))&
(((~patient(john)|humble(john)))=>(?[X]:(~humble(X))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((rich(... | ~quiet(lucy) | [
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3237797003949062728988937
% SZS output start Proof for 3237797003949062728988937
6. (~patient(paul) & ~humble(paul)) <=> ? [X0] : (~quiet(X0) | strong(X0)) [input p5]
7. ! [X0] : ((rich(X0) <~> ~funny(X0)) <=> (calm(X0) & ~calm(X0))) [input p6]
12. ! [X0] : (patient(X0) <=> (curious(X0) |... | 0 |
If john is either tall or generous then someone is not strong and vice versa.
Everyone who is either tall or not generous is curious.
If alice is both not tall and old then lucy is both not old and happy.
If someone is either not happy or not strong then someone is either rich or not brave and vice versa.
Everyone who ... | John is happy. | neutral | (((tall(john)<~>generous(john)))<=>(?[X]:(~strong(X))))&
(![X]:((tall(X)<~>~generous(X))=>curious(X)))&
(((~tall(alice)&old(alice)))=>((~old(lucy)&happy(lucy))))&
((?[X]:((~happy(X)<~>~strong(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(brave(X)&~kind(X))))&
(![X]:(funny(X)=>(wise(X)|humble... | happy(john) | [] | null | 0 |
Everyone who is both happy and not humble is either not creative or not humble and vice versa.
Everyone who is happy is either funny or wise and vice versa.
Everyone who is not old is generous.
If paul is both not happy and not calm then someone is both tall and not happy.
Everyone who is old or not funny is either ric... | Alice is happy. | entailment | (![X]:((happy(X)&~humble(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(happy(X)<=>(funny(X)<~>wise(X))))&
(![X]:(~old(X)=>generous(X)))&
(((~happy(paul)&~calm(paul)))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~w... | happy(alice) | [
"p1",
"p4",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6616590659469084880858734
% SZS output start Proof for 6616590659469084880858734
2. ! [X0] : (happy(X0) <=> (funny(X0) <~> wise(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | old(X0)) <=> (rich(X0) <~> happy(X0))) [input p4]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient(X0) & ~tal... | 0 |
Everyone who is either wise or not brave is kind or old and vice versa.
Everyone who is generous or not generous is both not curious and funny.
Everyone who is curious is humble or not tall and vice versa.
If mary is not strong or not funny then susan is either not kind or not brave and vice versa.
Everyone who is both... | Mary is patient. | contradiction | (![X]:((wise(X)<~>~brave(X))<=>(kind(X)|old(X))))&
(![X]:((generous(X)|~generous(X))=>(~curious(X)&funny(X))))&
(![X]:(curious(X)<=>(humble(X)|~tall(X))))&
(((~strong(mary)|~funny(mary)))<=>((~kind(susan)<~>~brave(susan))))&
(![X]:((~old(X)&old(X))<=>~old(X)))&
(![X]:((quiet(X)&generous(X))=>humble(X)))&
(![X]:((~kind(... | patient(mary) | [
"p1",
"p2",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 284711314691895782172299
% SZS output start Proof for 284711314691895782172299
2. ! [X0] : ((~generous(X0) | generous(X0)) => (funny(X0) & ~curious(X0))) [input p1]
3. ! [X0] : (curious(X0) <=> (~tall(X0) | humble(X0))) [input p2]
7. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> ~tall(X0)) [i... | 0 |
If someone is not creative then susan is both kind and funny and vice versa.
If someone is not brave then john is quiet or not tall.
If susan is either quiet or humble then john is not humble and vice versa.
Everyone who is both not quiet and funny is not kind or funny.
Everyone who is creative or old is not humble or ... | Alice is happy. | neutral | ((?[X]:(~creative(X)))<=>((kind(susan)&funny(susan))))&
((?[X]:(~brave(X)))=>((quiet(john)|~tall(john))))&
(((quiet(susan)<~>humble(susan)))<=>(~humble(john)))&
(![X]:((~quiet(X)&funny(X))=>(~kind(X)|funny(X))))&
(![X]:((creative(X)|old(X))=>(~humble(X)|strong(X))))&
(![X]:(funny(X)=>(~tall(X)&~kind(X))))&
(![X]:(funny... | happy(alice) | [] | null | 0 |
Everyone who is either humble or not strong is both not humble and funny and vice versa. Everyone who is both wise and not tall is not old or not generous. Everyone who is either not creative or humble is generous or not strong and vice versa. If john is either calm or not strong then someone is either wise or old. If ... | Susan is not happy. | neutral | (![X]:((humble(X)<~>~strong(X))<=>(~humble(X)&funny(X))))&
(![X]:((wise(X)&~tall(X))=>(~old(X)|~generous(X))))&
(![X]:((~creative(X)<~>humble(X))<=>(generous(X)|~strong(X))))&
(((calm(john)<~>~strong(john)))=>(?[X]:((wise(X)<~>old(X)))))&
((?[X]:((~strong(X)|~curious(X))))=>(~strong(mary)))&
((?[X]:((~happy(X)&~old(X))... | ~happy(susan) | [] | null | 0 |
If paul is curious or not happy then someone is either not old or humble.
Everyone who is curious is both old and happy.
Everyone who is both not tall and quiet is either not quiet or quiet.
If someone is either rich or not rich then someone is patient.
If someone is humble or not patient then john is both generous and... | Paul is not patient. | contradiction | (((curious(paul)|~happy(paul)))=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:(curious(X)=>(old(X)&happy(X))))&
(![X]:((~tall(X)&quiet(X))=>(~quiet(X)<~>quiet(X))))&
((?[X]:((rich(X)<~>~rich(X))))=>(?[X]:(patient(X))))&
((?[X]:((humble(X)|~patient(X))))=>((generous(john)&~brave(john))))&
(![X]:(humble(X)<=>(tall(X)|~old(X)))... | ~patient(paul) | [
"p4",
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 802515903793153705017467
% SZS output start Proof for 802515903793153705017467
5. ? [X0] : (~patient(X0) | humble(X0)) => (~brave(john) & generous(john)) [input p4]
6. ! [X0] : (humble(X0) <=> (~old(X0) | tall(X0))) [input p5]
9. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~funny(X0) & brave... | 0 |
If john is not brave then john is not kind or happy and vice versa.
Everyone who is kind or not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative or not generous.
Everyone who is brave or old is either not brave or not rich a... | Fred is not calm. | contradiction | ((~brave(john))<=>((~kind(john)|happy(john))))&
(![X]:((kind(X)|~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|~kin... | ~calm(fred) | [
"p2",
"p3",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2645015462851616713143298
% SZS output start Proof for 2645015462851616713143298
3. ! [X0] : ((~kind(X0) & humble(X0)) <=> kind(X0)) [input p2]
4. ! [X0] : (patient(X0) => (~generous(X0) | creative(X0))) [input p3]
6. ! [X0] : (~kind(X0) <=> (~old(X0) & ~funny(X0))) [input p5]
13. ! [X0] ... | 0 |
If john is old then fred is creative or not generous and vice versa. If someone is both curious and not funny then fred is either not wise or not old and vice versa. If lucy is either not humble or kind then someone is both generous and wise. Everyone who is quiet or wise is both not happy and not generous. Everyone wh... | Lucy is old. | entailment | ((old(john))<=>((creative(fred)|~generous(fred))))&
((?[X]:((curious(X)&~funny(X))))<=>((~wise(fred)<~>~old(fred))))&
(((~humble(lucy)<~>kind(lucy)))=>(?[X]:((generous(X)&wise(X)))))&
(![X]:((quiet(X)|wise(X))=>(~happy(X)&~generous(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(humble(X)&~creative(X))))&
((?[X]:((brave(X)|... | old(lucy) | [
"p3",
"p6",
"p7",
"p8",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6422744342266263570985302
% SZS output start Proof for 6422744342266263570985302
4. ! [X0] : ((wise(X0) | quiet(X0)) => (~generous(X0) & ~happy(X0))) [input p3]
7. ! [X0] : ((~funny(X0) <~> ~curious(X0)) <=> tall(X0)) [input p6]
8. ! [X0] : (tall(X0) => ~tall(X0)) [input p7]
9. (~strong(a... | 0 |
Everyone who is not old or not creative is not tall or strong and vice versa. Everyone who is not brave or rich is not patient or not creative. If paul is both tall and rich then john is either not old or not tall. Everyone who is humble is either not calm or not quiet and vice versa. If someone is either not brave or ... | John is kind. | neutral | (![X]:((~old(X)|~creative(X))<=>(~tall(X)|strong(X))))&
(![X]:((~brave(X)|rich(X))=>(~patient(X)|~creative(X))))&
(((tall(paul)&rich(paul)))=>((~old(john)<~>~tall(john))))&
(![X]:(humble(X)<=>(~calm(X)<~>~quiet(X))))&
((?[X]:((~brave(X)<~>~calm(X))))<=>(?[X]:((humble(X)&~strong(X)))))&
(((~brave(lucy)|humble(lucy)))=>(... | kind(john) | [] | null | 0 |
Everyone who is not tall or not curious is both not patient and calm and vice versa.
If someone is both not brave and not old then someone is either curious or not wise and vice versa.
If alice is not strong or not brave then someone is both rich and old.
If someone is not wise then fred is either old or strong.
Everyo... | Mary is not wise. | contradiction | (![X]:((~tall(X)|~curious(X))<=>(~patient(X)&calm(X))))&
((?[X]:((~brave(X)&~old(X))))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(((~strong(alice)|~brave(alice)))=>(?[X]:((rich(X)&old(X)))))&
((?[X]:(~wise(X)))=>((old(fred)<~>strong(fred))))&
(![X]:((quiet(X)|~brave(X))<=>(~old(X)|~rich(X))))&
((?[X]:((~strong(X)|~happy(X))... | ~wise(mary) | [
"p7",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4036827837930668671493112
% SZS output start Proof for 4036827837930668671493112
8. ! [X0] : (~wise(X0) <=> (~kind(X0) | ~humble(X0))) [input p7]
13. ! [X0] : ((~strong(X0) & brave(X0)) <=> (~kind(X0) | calm(X0))) [input p12]
15. (strong(mary) & humble(mary)) <=> ? [X0] : ~quiet(X0) [inpu... | 0 |
Everyone who is not tall is either humble or not creative and vice versa. Everyone who is either not quiet or strong is both not calm and patient and vice versa. Everyone who is not wise or strong is not patient. Everyone who is funny is either creative or not old. Everyone who is not old or creative is either not humb... | Lucy is not quiet. | entailment | (![X]:(~tall(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>(~calm(X)&patient(X))))&
(![X]:((~wise(X)|strong(X))=>~patient(X)))&
(![X]:(funny(X)=>(creative(X)<~>~old(X))))&
(![X]:((~old(X)|creative(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((happy(X)&~calm(X))<=>generous(X)))&
(((kind(mary)|patient(ma... | ~quiet(lucy) | [
"p1",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6377148897967961403261637
% SZS output start Proof for 6377148897967961403261637
2. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=> (patient(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((strong(X0) | ~wise(X0)) => ~patient(X0)) [input p2]
13. ! [X0] : (~strong(X0) => ~quiet(X0)) [input p12]
25. qu... | 0 |
If someone is creative then someone is humble and vice versa. If someone is not rich or not humble then someone is humble or not kind and vice versa. Everyone who is both not strong and not brave is not tall and vice versa. Everyone who is wise or humble is patient or creative. Everyone who is quiet or not quiet is bot... | Fred is rich. | neutral | ((?[X]:(creative(X)))<=>(?[X]:(humble(X))))&
((?[X]:((~rich(X)|~humble(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((~strong(X)&~brave(X))<=>~tall(X)))&
(![X]:((wise(X)|humble(X))=>(patient(X)|creative(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~calm(X)&~wise(X))))&
(![X]:(~tall(X)<=>(~strong(X)&creative(X))))&
((?[X]:((h... | rich(fred) | [] | null | 0 |
Everyone who is either wise or quiet is either not curious or not kind and vice versa.
Everyone who is either curious or old is rich and vice versa.
If susan is either not funny or not patient then someone is not generous.
If paul is both not creative and wise then fred is not calm.
If someone is creative then fred is ... | Paul is not wise. | contradiction | (![X]:((wise(X)<~>quiet(X))<=>(~curious(X)<~>~kind(X))))&
(![X]:((curious(X)<~>old(X))<=>rich(X)))&
(((~funny(susan)<~>~patient(susan)))=>(?[X]:(~generous(X))))&
(((~creative(paul)&wise(paul)))=>(~calm(fred)))&
((?[X]:(creative(X)))<=>((generous(fred)<~>~creative(fred))))&
(![X]:(~old(X)=>(kind(X)&patient(X))))&
(![X]:... | ~wise(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1101998864528605978629935
% SZS output start Proof for 1101998864528605978629935
18. ~brave(paul) & wise(paul) [input p17]
23. ~wise(paul) [input hypothesis]
25. wise(paul) [pure predicate removal 18]
128. wise(paul) [cnf transformation 25]
134. ~wise(paul) [cnf transformation 23]
154. 5 ... | 0 |
If someone is generous then alice is not calm or strong and vice versa.
Everyone who is both creative and not rich is creative and vice versa.
Everyone who is rich is not brave.
Everyone who is both old and not patient is both not humble and old and vice versa.
Everyone who is both generous and strong is either not pat... | Alice is tall. | neutral | ((?[X]:(generous(X)))<=>((~calm(alice)|strong(alice))))&
(![X]:((creative(X)&~rich(X))<=>creative(X)))&
(![X]:(rich(X)=>~brave(X)))&
(![X]:((old(X)&~patient(X))<=>(~humble(X)&old(X))))&
(![X]:((generous(X)&strong(X))=>(~patient(X)<~>kind(X))))&
(![X]:((humble(X)&~humble(X))<=>(~happy(X)&~brave(X))))&
(![X]:((generous(X... | tall(alice) | [] | null | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is either patient or happy is either not curious or not humble.
If susan is both humble and quiet then mary is creative or kind and vice versa.
... | Alice is not curious. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((patient(X)<~>happy(X))=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious... | ~curious(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 664660542684522511928578
% SZS output start Proof for 664660542684522511928578
6. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (curious(X0) | ~happy(X0))) [input p5]
24. curious(alice) [input hypothesis]
41. ! [X0] : (((~curious(X0) & ~old(X0)) | (~curious(X0) & happy(X0))) & ((curious(X0) | ~... | 0 |
Everyone who is humble is curious and vice versa.
Everyone who is not curious or wise is both not creative and not calm.
If mary is either patient or not quiet then lucy is generous or not brave and vice versa.
Everyone who is either calm or quiet is not curious and vice versa.
Everyone who is not rich is old.
Everyone... | Mary is humble. | contradiction | (![X]:(humble(X)<=>curious(X)))&
(![X]:((~curious(X)|wise(X))=>(~creative(X)&~calm(X))))&
(((patient(mary)<~>~quiet(mary)))<=>((generous(lucy)|~brave(lucy))))&
(![X]:((calm(X)<~>quiet(X))<=>~curious(X)))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(l... | humble(mary) | [
"p0",
"p1",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8523269374012617524708525
% SZS output start Proof for 8523269374012617524708525
1. ! [X0] : (humble(X0) <=> curious(X0)) [input p0]
2. ! [X0] : ((wise(X0) | ~curious(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> ~curious(X0)) [input p3]
6. ! [X... | 0 |
Everyone who is both not patient and creative is creative or not patient and vice versa.
If someone is not happy or brave then someone is both wise and not tall and vice versa.
If someone is patient or not curious then someone is either curious or strong.
Everyone who is humble or wise is either tall or not rich.
Every... | Lucy is old. | entailment | (![X]:((~patient(X)&creative(X))<=>(creative(X)|~patient(X))))&
((?[X]:((~happy(X)|brave(X))))<=>(?[X]:((wise(X)&~tall(X)))))&
((?[X]:((patient(X)|~curious(X))))=>(?[X]:((curious(X)<~>strong(X)))))&
(![X]:((humble(X)|wise(X))=>(tall(X)<~>~rich(X))))&
(![X]:((humble(X)<~>~humble(X))=>(~funny(X)<~>calm(X))))&
(![X]:((old... | old(lucy) | [
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1672446046788076493614300
% SZS output start Proof for 1672446046788076493614300
6. ! [X0] : ((~tall(X0) & old(X0)) <=> (calm(X0) | ~strong(X0))) [input p5]
20. old(lucy) <~> calm(lucy) [input p19]
25. ~old(lucy) [input hypothesis]
52. ! [X0] : (((~tall(X0) & old(X0)) | (~calm(X0) & stron... | 0 |
If someone is generous or not calm then paul is not tall and vice versa.
If someone is either not quiet or not generous then someone is both quiet and not old and vice versa.
Everyone who is either not tall or not quiet is tall and vice versa.
Everyone who is patient or tall is not happy and vice versa.
Everyone who is... | Paul is rich. | entailment | ((?[X]:((generous(X)|~calm(X))))<=>(~tall(paul)))&
((?[X]:((~quiet(X)<~>~generous(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
(![X]:((~tall(X)<~>~quiet(X))<=>tall(X)))&
(![X]:((patient(X)|tall(X))<=>~happy(X)))&
(![X]:(~tall(X)<=>quiet(X)))&
(![X]:((~generous(X)|calm(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~brave(X)&~tall(... | rich(paul) | [
"p0",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3054926416067635609124610
% SZS output start Proof for 3054926416067635609124610
1. ? [X0] : (~calm(X0) | generous(X0)) <=> ~tall(paul) [input p0]
3. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> tall(X0)) [input p2]
5. ! [X0] : (~tall(X0) <=> quiet(X0)) [input p4]
10. (curious(paul) | ~rich(p... | 0 |
If john is either tall or not generous then someone is either not humble or not old and vice versa.
If fred is both brave and rich then alice is quiet.
Everyone who is both happy and calm is either happy or quiet.
If someone is not wise then john is not funny or quiet.
If paul is both not patient and wise then mary is ... | Susan is humble. | neutral | (((tall(john)<~>~generous(john)))<=>(?[X]:((~humble(X)<~>~old(X)))))&
(((brave(fred)&rich(fred)))=>(quiet(alice)))&
(![X]:((happy(X)&calm(X))=>(happy(X)<~>quiet(X))))&
((?[X]:(~wise(X)))=>((~funny(john)|quiet(john))))&
(((~patient(paul)&wise(paul)))=>((strong(mary)<~>brave(mary))))&
(![X]:(~wise(X)<=>~curious(X)))&
(![... | humble(susan) | [] | null | 0 |
If someone is either not generous or funny then mary is not creative or tall. If someone is either quiet or not rich then someone is both curious and old. If someone is either strong or quiet then paul is both kind and not calm and vice versa. If someone is not old or not tall then someone is not happy and vice versa. ... | Paul is funny. | entailment | ((?[X]:((~generous(X)<~>funny(X))))=>((~creative(mary)|tall(mary))))&
((?[X]:((quiet(X)<~>~rich(X))))=>(?[X]:((curious(X)&old(X)))))&
((?[X]:((strong(X)<~>quiet(X))))<=>((kind(paul)&~calm(paul))))&
((?[X]:((~old(X)|~tall(X))))<=>(?[X]:(~happy(X))))&
(((~wise(lucy)|~humble(lucy)))=>(happy(paul)))&
(((~calm(fred)|wise(fr... | funny(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8555758058602564986653839
% SZS output start Proof for 8555758058602564986653839
9. ! [X0] : ((~old(X0) | ~funny(X0)) <=> (tall(X0) & ~tall(X0))) [input p8]
23. ~funny(paul) [input hypothesis]
54. ! [X0] : (((~old(X0) | ~funny(X0)) | (~tall(X0) | tall(X0))) & ((tall(X0) & ~tall(X0)) | (ol... | 0 |
Everyone who is not curious or not funny is not calm or happy.
Everyone who is not quiet or not humble is not brave or old and vice versa.
If someone is both humble and old then john is tall and vice versa.
Everyone who is not humble is not happy.
Everyone who is either not wise or not brave is both tall and not tall a... | Lucy is not brave. | entailment | (![X]:((~curious(X)|~funny(X))=>(~calm(X)|happy(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~brave(X)|old(X))))&
((?[X]:((humble(X)&old(X))))<=>(tall(john)))&
(![X]:(~humble(X)=>~happy(X)))&
(![X]:((~wise(X)<~>~brave(X))<=>(tall(X)&~tall(X))))&
(![X]:(funny(X)<=>(~humble(X)|~old(X))))&
((?[X]:((humble(X)|~old(X))))=>((brav... | ~brave(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 638948523792716800818302
% SZS output start Proof for 638948523792716800818302
9. ! [X0] : ((brave(X0) <~> ~tall(X0)) <=> (brave(X0) & ~tall(X0))) [input p8]
24. brave(lucy) [input hypothesis]
49. ! [X0] : ((((tall(X0) | ~brave(X0)) & (~tall(X0) | brave(X0))) | (~brave(X0) | tall(X0))) & ... | 0 |
If lucy is not curious or wise then someone is not funny or happy.
If alice is rich or creative then someone is rich or not curious and vice versa.
If alice is both not calm and not quiet then lucy is not patient and vice versa.
Everyone who is wise is not quiet and vice versa.
If lucy is creative or not kind then alic... | Paul is not curious. | entailment | (((~curious(lucy)|wise(lucy)))=>(?[X]:((~funny(X)|happy(X)))))&
(((rich(alice)|creative(alice)))<=>(?[X]:((rich(X)|~curious(X)))))&
(((~calm(alice)&~quiet(alice)))<=>(~patient(lucy)))&
(![X]:(wise(X)<=>~quiet(X)))&
(((creative(lucy)|~kind(lucy)))=>((~kind(alice)&tall(alice))))&
(![X]:((generous(X)&kind(X))<=>(old(X)|~w... | ~curious(paul) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5073178571978244934604720
% SZS output start Proof for 5073178571978244934604720
4. ! [X0] : (wise(X0) <=> ~quiet(X0)) [input p3]
6. ! [X0] : ((kind(X0) & generous(X0)) <=> (~wise(X0) | old(X0))) [input p5]
8. ! [X0] : ((~kind(X0) & curious(X0)) <=> (quiet(X0) | kind(X0))) [input p7]
24. ... | 0 |
If someone is not calm then lucy is old or not humble and vice versa.
If john is either quiet or curious then mary is both not funny and generous.
Everyone who is either not tall or old is happy.
If someone is either brave or curious then paul is either curious or generous and vice versa.
If someone is both creative an... | Lucy is curious. | entailment | ((?[X]:(~calm(X)))<=>((old(lucy)|~humble(lucy))))&
(((quiet(john)<~>curious(john)))=>((~funny(mary)&generous(mary))))&
(![X]:((~tall(X)<~>old(X))=>happy(X)))&
((?[X]:((brave(X)<~>curious(X))))<=>((curious(paul)<~>generous(paul))))&
((?[X]:((creative(X)&old(X))))=>(~kind(lucy)))&
(![X]:(~curious(X)=>(~funny(X)&quiet(X))... | curious(lucy) | [
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2469696646934460175429576
% SZS output start Proof for 2469696646934460175429576
6. ! [X0] : (~curious(X0) => (quiet(X0) & ~funny(X0))) [input p5]
7. ! [X0] : ((tall(X0) | quiet(X0)) => (creative(X0) & brave(X0))) [input p6]
12. ? [X0] : (funny(X0) <~> quiet(X0)) <=> ? [X0] : (~creative(X... | 0 |
Everyone who is not creative is either brave or not rich and vice versa.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind... | Paul is not humble. | neutral | (![X]:(~creative(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(gene... | ~humble(paul) | [] | null | 0 |
Everyone who is strong or generous is either not happy or tall and vice versa.
Everyone who is either strong or patient is brave or humble.
Everyone who is either curious or funny is either funny or not old and vice versa.
Everyone who is either rich or curious is not creative or not kind.
If someone is not calm then p... | Alice is not generous. | entailment | (![X]:((strong(X)|generous(X))<=>(~happy(X)<~>tall(X))))&
(![X]:((strong(X)<~>patient(X))=>(brave(X)|humble(X))))&
(![X]:((curious(X)<~>funny(X))<=>(funny(X)<~>~old(X))))&
(![X]:((rich(X)<~>curious(X))=>(~creative(X)|~kind(X))))&
((?[X]:(~calm(X)))<=>((~humble(paul)<~>~generous(paul))))&
(![X]:((~humble(X)&~rich(X))=>~... | ~generous(alice) | [
"p0",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5376523880137122396170886
% SZS output start Proof for 5376523880137122396170886
1. ! [X0] : ((generous(X0) | strong(X0)) <=> (~happy(X0) <~> tall(X0))) [input p0]
7. ! [X0] : ((curious(X0) | ~calm(X0)) <=> happy(X0)) [input p6]
11. tall(alice) <=> (~happy(alice) & kind(alice)) [input p10... | 0 |
If someone is rich or not wise then someone is both not generous and not brave and vice versa.
Everyone who is either not patient or not rich is both not tall and not happy.
Everyone who is tall is both not happy and generous and vice versa.
If someone is either calm or not kind then lucy is not brave or patient.
If so... | Paul is old. | entailment | ((?[X]:((rich(X)|~wise(X))))<=>(?[X]:((~generous(X)&~brave(X)))))&
(![X]:((~patient(X)<~>~rich(X))=>(~tall(X)&~happy(X))))&
(![X]:(tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:((calm(X)<~>~kind(X))))=>((~brave(lucy)|patient(lucy))))&
((?[X]:((~humble(X)|patient(X))))<=>((curious(paul)&~patient(paul))))&
(![X]:(~funny(X)... | old(paul) | [
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9129779428067750949860113
% SZS output start Proof for 9129779428067750949860113
5. ? [X0] : (patient(X0) | ~humble(X0)) <=> (~patient(paul) & curious(paul)) [input p4]
12. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> (kind(X0) <~> brave(X0))) [input p11]
15. ! [X0] : (patient(X0) <=> ~brave(X0... | 0 |
If john is creative or not kind then john is wise or not patient and vice versa.
Everyone who is not curious is either not brave or tall and vice versa.
If someone is rich then alice is either not creative or not humble and vice versa.
Everyone who is not tall or not curious is either not strong or not calm.
Everyone w... | Susan is generous. | neutral | (((creative(john)|~kind(john)))<=>((wise(john)|~patient(john))))&
(![X]:(~curious(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(rich(X)))<=>((~creative(alice)<~>~humble(alice))))&
(![X]:((~tall(X)|~curious(X))=>(~strong(X)<~>~calm(X))))&
(![X]:(~wise(X)=>generous(X)))&
(![X]:((~rich(X)&rich(X))<=>humble(X)))&
(![X]:((~curious(... | generous(susan) | [] | null | 0 |
Everyone who is either not creative or brave is both not tall and strong.
Everyone who is both not wise and curious is not quiet and vice versa.
Everyone who is either old or not rich is both not old and calm and vice versa.
Everyone who is both not happy and kind is either not generous or not funny.
If someone is rich... | Lucy is rich. | contradiction | (![X]:((~creative(X)<~>brave(X))=>(~tall(X)&strong(X))))&
(![X]:((~wise(X)&curious(X))<=>~quiet(X)))&
(![X]:((old(X)<~>~rich(X))<=>(~old(X)&calm(X))))&
(![X]:((~happy(X)&kind(X))=>(~generous(X)<~>~funny(X))))&
((?[X]:(rich(X)))<=>(quiet(lucy)))&
(![X]:((~strong(X)|~creative(X))<=>~tall(X)))&
((?[X]:((strong(X)&brave(X)... | rich(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p10",
"p12",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 69239517002735280720080
% SZS output start Proof for 69239517002735280720080
2. ! [X0] : ((curious(X0) & ~wise(X0)) <=> ~quiet(X0)) [input p1]
3. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> (calm(X0) & ~old(X0))) [input p2]
5. ? [X0] : rich(X0) <=> quiet(lucy) [input p4]
6. ! [X0] : ((~creative... | 0 |
If someone is not quiet then john is rich or curious.
If fred is either not old or not happy then someone is not patient and vice versa.
If someone is either creative or strong then someone is not strong or patient.
Everyone who is both not kind and kind is either patient or creative.
Everyone who is not kind is not ri... | Mary is happy. | entailment | ((?[X]:(~quiet(X)))=>((rich(john)|curious(john))))&
(((~old(fred)<~>~happy(fred)))<=>(?[X]:(~patient(X))))&
((?[X]:((creative(X)<~>strong(X))))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:((~kind(X)&kind(X))=>(patient(X)<~>creative(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X... | happy(mary) | [
"p5",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2867407379811380304506211
% SZS output start Proof for 2867407379811380304506211
6. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p5]
10. ! [X0] : (~happy(X0) => (~calm(X0) <~> ~humble(X0))) [input p9]
14. ! [X0] : (calm(X0) => (humble(X0) & curious(X0))) [input p13]
25. ~happy(m... | 0 |
Everyone who is not happy or not quiet is both not curious and generous.
Everyone who is both generous and not patient is not calm or not old.
Everyone who is either brave or creative is either not brave or not generous and vice versa.
If someone is either tall or quiet then someone is not wise or kind and vice versa.
... | Susan is generous. | neutral | (![X]:((~happy(X)|~quiet(X))=>(~curious(X)&generous(X))))&
(![X]:((generous(X)&~patient(X))=>(~calm(X)|~old(X))))&
(![X]:((brave(X)<~>creative(X))<=>(~brave(X)<~>~generous(X))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(?[X]:((~wise(X)|kind(X)))))&
((?[X]:((curious(X)<~>~calm(X))))<=>(?[X]:(brave(X))))&
(((~quiet(susan)<~>~br... | generous(susan) | [] | null | 0 |
Everyone who is not strong is not brave or wise and vice versa.
Everyone who is either happy or funny is both curious and humble and vice versa.
If someone is patient or not creative then lucy is creative or not rich and vice versa.
Everyone who is not happy is either not curious or kind.
Everyone who is both curious a... | Lucy is not quiet. | neutral | (![X]:(~strong(X)<=>(~brave(X)|wise(X))))&
(![X]:((happy(X)<~>funny(X))<=>(curious(X)&humble(X))))&
((?[X]:((patient(X)|~creative(X))))<=>((creative(lucy)|~rich(lucy))))&
(![X]:(~happy(X)=>(~curious(X)<~>kind(X))))&
(![X]:((curious(X)&~tall(X))=>(quiet(X)<~>~brave(X))))&
(((~old(paul)|~calm(paul)))<=>((~tall(lucy)<~>fu... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both rich and wise is either not creative or not quiet.
Everyone who is both not rich and patient is either curious or generous.
If john is either not wise or not old then fred is both calm and funny.
If fred is quiet then someone is not old or not quiet.
If lucy is either not patient or tall then paul ... | John is happy. | contradiction | (![X]:((rich(X)&wise(X))=>(~creative(X)<~>~quiet(X))))&
(![X]:((~rich(X)&patient(X))=>(curious(X)<~>generous(X))))&
(((~wise(john)<~>~old(john)))=>((calm(fred)&funny(fred))))&
((quiet(fred))=>(?[X]:((~old(X)|~quiet(X)))))&
(((~patient(lucy)<~>tall(lucy)))<=>(brave(paul)))&
((?[X]:(quiet(X)))<=>((~wise(mary)<~>~creative... | happy(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2658313553756958451980600
% SZS output start Proof for 2658313553756958451980600
17. ~funny(john) & ~happy(john) [input p16]
25. happy(john) [input hypothesis]
140. ~happy(john) [cnf transformation 17]
153. happy(john) [cnf transformation 25]
360. $false [subsumption resolution 153,140]
%... | 0 |
If someone is wise or not rich then susan is not patient or curious. Everyone who is not creative or not strong is both not brave and not strong and vice versa. If someone is not tall or curious then someone is both not happy and generous and vice versa. Everyone who is wise or not quiet is either not brave or strong. ... | John is not quiet. | neutral | ((?[X]:((wise(X)|~rich(X))))=>((~patient(susan)|curious(susan))))&
(![X]:((~creative(X)|~strong(X))<=>(~brave(X)&~strong(X))))&
((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:((wise(X)|~quiet(X))=>(~brave(X)<~>strong(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(~patient(X)&~calm(X))))&
(((curiou... | ~quiet(john) | [] | null | 0 |
Everyone who is not quiet is not funny.
If someone is both quiet and not happy then lucy is either not generous or not humble and vice versa.
If someone is creative then mary is both not happy and not funny and vice versa.
If susan is both not rich and not patient then someone is either not funny or not strong.
Everyon... | Paul is not brave. | contradiction | (![X]:(~quiet(X)=>~funny(X)))&
((?[X]:((quiet(X)&~happy(X))))<=>((~generous(lucy)<~>~humble(lucy))))&
((?[X]:(creative(X)))<=>((~happy(mary)&~funny(mary))))&
(((~rich(susan)&~patient(susan)))=>(?[X]:((~funny(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>brave(X))))&
(![X]:((~generous(X)<~>~funny(X))<=>(~funny(X)... | ~brave(paul) | [
"p6",
"p8",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4948829412689438332479558
% SZS output start Proof for 4948829412689438332479558
7. ! [X0] : (funny(X0) <=> (~calm(X0) <~> ~funny(X0))) [input p6]
9. ? [X0] : ~funny(X0) => (brave(paul) & happy(paul)) [input p8]
12. ? [X0] : tall(X0) <=> (calm(mary) <~> ~funny(mary)) [input p11]
24. tall(... | 0 |
If fred is both not patient and not happy then fred is both not creative and generous. Everyone who is not patient is both calm and tall. Everyone who is kind is both old and not happy and vice versa. If lucy is not patient or tall then someone is funny. If someone is either quiet or curious then someone is either not ... | Alice is not calm. | contradiction | (((~patient(fred)&~happy(fred)))=>((~creative(fred)&generous(fred))))&
(![X]:(~patient(X)=>(calm(X)&tall(X))))&
(![X]:(kind(X)<=>(old(X)&~happy(X))))&
(((~patient(lucy)|tall(lucy)))=>(?[X]:(funny(X))))&
((?[X]:((quiet(X)<~>curious(X))))<=>(?[X]:((~old(X)<~>creative(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((creative(X)&humble... | ~calm(alice) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6914812470905777780638359
% SZS output start Proof for 6914812470905777780638359
2. ! [X0] : (~patient(X0) => (tall(X0) & calm(X0))) [input p1]
9. ! [X0] : ((patient(X0) | kind(X0)) <=> (calm(X0) & ~quiet(X0))) [input p8]
23. ~calm(alice) [input hypothesis]
31. ! [X0] : ((tall(X0) & calm(... | 0 |
Everyone who is either humble or not humble is both creative and patient.
Everyone who is calm or rich is both not calm and creative.
If lucy is not funny then someone is old.
If someone is rich then john is not creative or happy and vice versa.
Everyone who is either calm or not rich is not old or funny and vice versa... | Fred is kind. | contradiction | (![X]:((humble(X)<~>~humble(X))=>(creative(X)&patient(X))))&
(![X]:((calm(X)|rich(X))=>(~calm(X)&creative(X))))&
((~funny(lucy))=>(?[X]:(old(X))))&
((?[X]:(rich(X)))<=>((~creative(john)|happy(john))))&
(![X]:((calm(X)<~>~rich(X))<=>(~old(X)|funny(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(kind(X)<~>~calm(X))))&
(![X]:((~t... | kind(fred) | [
"p0",
"p1",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1436455101973465438833236
% SZS output start Proof for 1436455101973465438833236
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (patient(X0) & creative(X0))) [input p0]
2. ! [X0] : ((rich(X0) | calm(X0)) => (creative(X0) & ~calm(X0))) [input p1]
6. ! [X0] : ((~brave(X0) <~> ~funny(X0)) => (... | 0 |
Everyone who is either rich or not quiet is humble or wise and vice versa. If mary is both calm and not rich then someone is curious or calm and vice versa. Everyone who is both not generous and generous is either not curious or not calm. Everyone who is not calm is both not humble and quiet and vice versa. Everyone wh... | Mary is quiet. | contradiction | (![X]:((rich(X)<~>~quiet(X))<=>(humble(X)|wise(X))))&
(((calm(mary)&~rich(mary)))<=>(?[X]:((curious(X)|calm(X)))))&
(![X]:((~generous(X)&generous(X))=>(~curious(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>(~humble(X)&quiet(X))))&
(![X]:((~calm(X)&~humble(X))<=>~old(X)))&
((?[X]:((~funny(X)<~>generous(X))))<=>(?[X]:((curious(X)... | quiet(mary) | [
"p0",
"p1",
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 391819591828090594436871
% SZS output start Proof for 391819591828090594436871
1. ! [X0] : ((rich(X0) <~> ~quiet(X0)) <=> (wise(X0) | humble(X0))) [input p0]
2. (~rich(mary) & calm(mary)) <=> ? [X0] : (calm(X0) | curious(X0)) [input p1]
4. ! [X0] : (~calm(X0) <=> (quiet(X0) & ~humble(X0))... | 0 |
Everyone who is both not kind and not humble is patient or not wise. If someone is not patient or funny then lucy is both not funny and creative. If someone is happy or humble then fred is either strong or tall and vice versa. Everyone who is both funny and not funny is either not humble or funny and vice versa. Everyo... | Fred is calm. | entailment | (![X]:((~kind(X)&~humble(X))=>(patient(X)|~wise(X))))&
((?[X]:((~patient(X)|funny(X))))=>((~funny(lucy)&creative(lucy))))&
((?[X]:((happy(X)|humble(X))))<=>((strong(fred)<~>tall(fred))))&
(![X]:((funny(X)&~funny(X))<=>(~humble(X)<~>funny(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(~creative(X)&~rich(X))))&
(![X]:(~creative(X... | calm(fred) | [
"p2",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 675103769177040952888153
% SZS output start Proof for 675103769177040952888153
3. ? [X0] : (humble(X0) | happy(X0)) <=> (strong(fred) <~> tall(fred)) [input p2]
5. ! [X0] : ((wise(X0) <~> ~wise(X0)) <=> (~rich(X0) & ~creative(X0))) [input p4]
6. ! [X0] : (~creative(X0) <=> happy(X0)) [inp... | 0 |
Everyone who is both generous and not humble is either generous or rich. Everyone who is both generous and quiet is not brave. Everyone who is both kind and not humble is both not brave and not calm and vice versa. Everyone who is not generous or not funny is both calm and not wise. If someone is both not tall and not ... | Mary is tall. | neutral | (![X]:((generous(X)&~humble(X))=>(generous(X)<~>rich(X))))&
(![X]:((generous(X)&quiet(X))=>~brave(X)))&
(![X]:((kind(X)&~humble(X))<=>(~brave(X)&~calm(X))))&
(![X]:((~generous(X)|~funny(X))=>(calm(X)&~wise(X))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((~brave(X)<~>~rich(X)))))&
((?[X]:((wise(X)&happy(X))))<=>(?[X]:(hu... | tall(mary) | [] | null | 0 |
Everyone who is not patient or tall is not generous and vice versa. Everyone who is not quiet or not happy is either not happy or tall. If someone is creative then susan is old and vice versa. If paul is generous then mary is tall and vice versa. Everyone who is quiet or not tall is kind. Everyone who is both rich and ... | Mary is patient. | neutral | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~happy(X)<~>tall(X))))&
((?[X]:(creative(X)))<=>(old(susan)))&
((generous(paul))<=>(tall(mary)))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(... | patient(mary) | [] | null | 0 |
Everyone who is not humble or happy is not humble and vice versa.
Everyone who is wise or not kind is tall and vice versa.
Everyone who is kind or not old is both calm and old and vice versa.
Everyone who is both funny and strong is not kind or happy.
Everyone who is not rich is not calm or not curious.
Everyone who is... | Susan is generous. | entailment | (![X]:((~humble(X)|happy(X))<=>~humble(X)))&
(![X]:((wise(X)|~kind(X))<=>tall(X)))&
(![X]:((kind(X)|~old(X))<=>(calm(X)&old(X))))&
(![X]:((funny(X)&strong(X))=>(~kind(X)|happy(X))))&
(![X]:(~rich(X)=>(~calm(X)|~curious(X))))&
(![X]:((calm(X)<~>~old(X))<=>(~quiet(X)&~patient(X))))&
(((quiet(john)<~>humble(john)))<=>(?[X... | generous(susan) | [
"p2",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6580718762548510836950578
% SZS output start Proof for 6580718762548510836950578
3. ! [X0] : ((~old(X0) | kind(X0)) <=> (old(X0) & calm(X0))) [input p2]
11. ! [X0] : ((calm(X0) & rich(X0)) <=> (old(X0) | ~generous(X0))) [input p10]
13. ? [X0] : (old(X0) <~> generous(X0)) <=> (~quiet(susan... | 0 |
If someone is both brave and strong then john is either wise or creative and vice versa.
Everyone who is either not kind or creative is both tall and not patient.
Everyone who is strong is either creative or not curious and vice versa.
If someone is not wise or not kind then someone is not calm or wise.
Everyone who is... | Fred is not kind. | entailment | ((?[X]:((brave(X)&strong(X))))<=>((wise(john)<~>creative(john))))&
(![X]:((~kind(X)<~>creative(X))=>(tall(X)&~patient(X))))&
(![X]:(strong(X)<=>(creative(X)<~>~curious(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((calm(X)|~humble(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((~old(X)<~>t... | ~kind(fred) | [
"p7",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4538886628228014783295796
% SZS output start Proof for 4538886628228014783295796
8. ! [X0] : ((generous(X0) | brave(X0)) <=> (kind(X0) <~> ~strong(X0))) [input p7]
10. (~kind(fred) & old(fred)) <=> kind(john) [input p9]
16. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> brave(X0)) [input p... | 0 |
Everyone who is not generous is rich or wise and vice versa.
Everyone who is not kind is either not generous or wise.
Everyone who is patient is either not wise or strong.
Everyone who is rich or patient is both wise and not patient and vice versa.
Everyone who is both humble and happy is wise or happy and vice versa.
... | Alice is funny. | neutral | (![X]:(~generous(X)<=>(rich(X)|wise(X))))&
(![X]:(~kind(X)=>(~generous(X)<~>wise(X))))&
(![X]:(patient(X)=>(~wise(X)<~>strong(X))))&
(![X]:((rich(X)|patient(X))<=>(wise(X)&~patient(X))))&
(![X]:((humble(X)&happy(X))<=>(wise(X)|happy(X))))&
(![X]:((~strong(X)|~generous(X))<=>(tall(X)<~>~curious(X))))&
((?[X]:((~quiet(X)... | funny(alice) | [] | null | 0 |
Everyone who is rich or curious is either calm or funny. Everyone who is both patient and not quiet is not curious and vice versa. Everyone who is wise is not rich or not calm and vice versa. If someone is both rich and not curious then john is both brave and creative. If john is either generous or not happy then lucy ... | John is wise. | contradiction | (![X]:((rich(X)|curious(X))=>(calm(X)<~>funny(X))))&
(![X]:((patient(X)&~quiet(X))<=>~curious(X)))&
(![X]:(wise(X)<=>(~rich(X)|~calm(X))))&
((?[X]:((rich(X)&~curious(X))))=>((brave(john)&creative(john))))&
(((generous(john)<~>~happy(john)))<=>((old(lucy)&happy(lucy))))&
(![X]:((rich(X)|generous(X))<=>(humble(X)|~genero... | wise(john) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9025351647159083188378242
% SZS output start Proof for 9025351647159083188378242
1. ! [X0] : ((curious(X0) | rich(X0)) => (calm(X0) <~> funny(X0))) [input p0]
3. ! [X0] : (wise(X0) <=> (~calm(X0) | ~rich(X0))) [input p2]
4. ? [X0] : (~curious(X0) & rich(X0)) => (creative(john) & brave(joh... | 0 |
Everyone who is either curious or quiet is generous and vice versa. If someone is both not creative and brave then mary is patient. If lucy is either not old or kind then susan is both not rich and humble and vice versa. Everyone who is happy is not funny and vice versa. Everyone who is both strong and curious is both ... | Alice is generous. | contradiction | (![X]:((curious(X)<~>quiet(X))<=>generous(X)))&
((?[X]:((~creative(X)&brave(X))))=>(patient(mary)))&
(((~old(lucy)<~>kind(lucy)))<=>((~rich(susan)&humble(susan))))&
(![X]:(happy(X)<=>~funny(X)))&
(![X]:((strong(X)&curious(X))=>(calm(X)&~wise(X))))&
(((generous(alice)<~>~rich(alice)))<=>((~curious(susan)|patient(susan))... | generous(alice) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2731293904723063333385422
% SZS output start Proof for 2731293904723063333385422
1. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> generous(X0)) [input p0]
11. ! [X0] : ((curious(X0) & quiet(X0)) <=> (humble(X0) | generous(X0))) [input p10]
21. generous(alice) [input hypothesis]
31. ! [X0] : (... | 0 |
If lucy is either curious or not rich then lucy is both kind and funny and vice versa.
Everyone who is not calm is rich or old.
Everyone who is either not strong or strong is both calm and not humble.
If someone is not tall then susan is not tall.
Everyone who is both quiet and not strong is not strong or not tall.
If ... | Lucy is not curious. | contradiction | (((curious(lucy)<~>~rich(lucy)))<=>((kind(lucy)&funny(lucy))))&
(![X]:(~calm(X)=>(rich(X)|old(X))))&
(![X]:((~strong(X)<~>strong(X))=>(calm(X)&~humble(X))))&
((?[X]:(~tall(X)))=>(~tall(susan)))&
(![X]:((quiet(X)&~strong(X))=>(~strong(X)|~tall(X))))&
((?[X]:((wise(X)|generous(X))))=>((funny(susan)|~tall(susan))))&
(![X]... | ~curious(lucy) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1386458328638892927737756
% SZS output start Proof for 1386458328638892927737756
3. ! [X0] : ((~strong(X0) <~> strong(X0)) => (~humble(X0) & calm(X0))) [input p2]
8. ! [X0] : (~happy(X0) <=> (~calm(X0) | calm(X0))) [input p7]
13. ? [X0] : (~curious(X0) & calm(X0)) => ? [X0] : (~kind(X0) &... | 0 |
Everyone who is both not quiet and rich is either not calm or not curious.
If alice is not happy then someone is either funny or curious.
Everyone who is either not quiet or not tall is not old.
Everyone who is either not generous or generous is not tall or not wise.
Everyone who is creative is either happy or kind.
Ev... | Alice is quiet. | contradiction | (![X]:((~quiet(X)&rich(X))=>(~calm(X)<~>~curious(X))))&
((~happy(alice))=>(?[X]:((funny(X)<~>curious(X)))))&
(![X]:((~quiet(X)<~>~tall(X))=>~old(X)))&
(![X]:((~generous(X)<~>generous(X))=>(~tall(X)|~wise(X))))&
(![X]:(creative(X)=>(happy(X)<~>kind(X))))&
(![X]:((~old(X)<~>old(X))<=>~quiet(X)))&
((?[X]:((patient(X)|~kin... | quiet(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6313554277002660874734546
% SZS output start Proof for 6313554277002660874734546
6. ! [X0] : ((~old(X0) <~> old(X0)) <=> ~quiet(X0)) [input p5]
24. quiet(alice) [input hypothesis]
47. ! [X0] : ((((~old(X0) | old(X0)) & (old(X0) | ~old(X0))) | quiet(X0)) & (~quiet(X0) | ((~old(X0) | ~old(X... | 0 |
If fred is rich then paul is both not rich and creative.
Everyone who is not patient is either not wise or calm and vice versa.
If susan is both not old and not creative then someone is funny and vice versa.
Everyone who is funny or tall is either brave or not rich.
Everyone who is patient or old is either not happy or... | Susan is not old. | entailment | ((rich(fred))=>((~rich(paul)&creative(paul))))&
(![X]:(~patient(X)<=>(~wise(X)<~>calm(X))))&
(((~old(susan)&~creative(susan)))<=>(?[X]:(funny(X))))&
(![X]:((funny(X)|tall(X))=>(brave(X)<~>~rich(X))))&
(![X]:((patient(X)|old(X))=>(~happy(X)<~>generous(X))))&
((rich(alice))=>((~generous(lucy)<~>~curious(lucy))))&
(((old(... | ~old(susan) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5553458206840089419963111
% SZS output start Proof for 5553458206840089419963111
3. (~creative(susan) & ~old(susan)) <=> ? [X0] : funny(X0) [input p2]
24. ? [X0] : (~old(X0) & funny(X0)) [input p23]
25. old(susan) [input hypothesis]
39. ((~creative(susan) & ~old(susan)) | ! [X0] : ~funny(... | 0 |
Everyone who is either not strong or not humble is not kind and vice versa.
If someone is not rich then fred is old or not curious and vice versa.
If someone is both not kind and not patient then john is either funny or brave.
If someone is either not curious or happy then fred is both not curious and not strong and vi... | Susan is not calm. | contradiction | (![X]:((~strong(X)<~>~humble(X))<=>~kind(X)))&
((?[X]:(~rich(X)))<=>((old(fred)|~curious(fred))))&
((?[X]:((~kind(X)&~patient(X))))=>((funny(john)<~>brave(john))))&
((?[X]:((~curious(X)<~>happy(X))))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~wise(X)&rich(X))=>(brave(X)<~>creative(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(... | ~calm(susan) | [
"p7",
"p8",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2914903435703983671608374
% SZS output start Proof for 2914903435703983671608374
8. ! [X0] : ((old(X0) <~> funny(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p7]
9. (~tall(susan) & wise(susan)) <=> ? [X0] : strong(X0) [input p8]
17. ~patient(lucy) & strong(lucy) [input p16]
18. funny(susan) ... | 0 |
Everyone who is either not funny or not generous is either not tall or not generous and vice versa.
Everyone who is brave is both humble and patient and vice versa.
Everyone who is both not tall and not wise is not happy or old.
If someone is rich then lucy is either quiet or not funny and vice versa.
If paul is both t... | Lucy is not generous. | entailment | (![X]:((~funny(X)<~>~generous(X))<=>(~tall(X)<~>~generous(X))))&
(![X]:(brave(X)<=>(humble(X)&patient(X))))&
(![X]:((~tall(X)&~wise(X))=>(~happy(X)|old(X))))&
((?[X]:(rich(X)))<=>((quiet(lucy)<~>~funny(lucy))))&
(((tall(paul)&~happy(paul)))=>(?[X]:((~humble(X)&~calm(X)))))&
(![X]:((~brave(X)|patient(X))=>(kind(X)&brave... | ~generous(lucy) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1463511495476443989131608
% SZS output start Proof for 1463511495476443989131608
6. ! [X0] : ((patient(X0) | ~brave(X0)) => (brave(X0) & kind(X0))) [input p5]
12. ! [X0] : (generous(X0) => ~brave(X0)) [input p11]
22. generous(lucy) [input hypothesis]
30. ! [X0] : ((brave(X0) & kind(X0)) |... | 0 |
If lucy is both creative and tall then alice is both funny and generous.
If fred is rich or not calm then mary is either kind or not kind and vice versa.
Everyone who is either not curious or not rich is either not wise or wise and vice versa.
If paul is either happy or not wise then someone is both happy and rich.
If ... | Paul is not funny. | contradiction | (((creative(lucy)&tall(lucy)))=>((funny(alice)&generous(alice))))&
(((rich(fred)|~calm(fred)))<=>((kind(mary)<~>~kind(mary))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~wise(X)<~>wise(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((happy(X)&rich(X)))))&
((?[X]:((patient(X)|old(X))))<=>((~quiet(mary)&funny(mary))))&
((?[X]:((... | ~funny(paul) | [
"p4",
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8980092226108794984344659
% SZS output start Proof for 8980092226108794984344659
5. ? [X0] : (old(X0) | patient(X0)) <=> (funny(mary) & ~quiet(mary)) [input p4]
7. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (funny(X0) | ~old(X0))) [input p6]
9. ! [X0] : (kind(X0) <=> (calm(X0) & funny(X0))) [i... | 0 |
If john is calm or generous then someone is not happy.
Everyone who is both not wise and calm is old.
If alice is either not strong or not brave then someone is funny and vice versa.
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice ve... | Mary is not creative. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~strong(alice)<~>~brave(alice)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(... | ~creative(mary) | [
"p5",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 837088987977804101036703
% SZS output start Proof for 837088987977804101036703
6. ! [X0] : ((happy(X0) & ~creative(X0)) => (~generous(X0) & patient(X0))) [input p5]
8. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> quiet(X0))) [input p7]
13. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0)))... | 0 |
If someone is brave or rich then john is both not funny and not happy.
Everyone who is tall is not brave and vice versa.
Everyone who is generous is not happy and vice versa.
Everyone who is either not strong or funny is both generous and humble and vice versa.
If paul is both not kind and not brave then mary is either... | Susan is tall. | entailment | ((?[X]:((brave(X)|rich(X))))=>((~funny(john)&~happy(john))))&
(![X]:(tall(X)<=>~brave(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((~strong(X)<~>funny(X))<=>(generous(X)&humble(X))))&
(((~kind(paul)&~brave(paul)))<=>((~wise(mary)<~>~curious(mary))))&
(![X]:(~curious(X)<=>(old(X)&~kind(X))))&
(![X]:(humble(X)=>(happy(... | tall(susan) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6771143683534931390447879
% SZS output start Proof for 6771143683534931390447879
1. ? [X0] : (rich(X0) | brave(X0)) => (~happy(john) & ~funny(john)) [input p0]
2. ! [X0] : (tall(X0) <=> ~brave(X0)) [input p1]
6. ! [X0] : (~curious(X0) <=> (~kind(X0) & old(X0))) [input p5]
7. ! [X0] : (hum... | 0 |
If someone is not generous or not funny then someone is quiet or happy and vice versa.
Everyone who is not happy or funny is calm or old.
Everyone who is not humble is old or not strong and vice versa.
If john is creative then someone is both not funny and calm and vice versa.
If someone is funny then someone is both c... | Paul is tall. | contradiction | ((?[X]:((~generous(X)|~funny(X))))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:((~happy(X)|funny(X))=>(calm(X)|old(X))))&
(![X]:(~humble(X)<=>(old(X)|~strong(X))))&
((creative(john))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:(~rich(X)=>(rich(X)|~rich(X))))&
(![X]:((~brave... | tall(paul) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1072469136093215467312528
% SZS output start Proof for 1072469136093215467312528
3. ! [X0] : (~humble(X0) <=> (~strong(X0) | old(X0))) [input p2]
8. ! [X0] : ((old(X0) | tall(X0)) <=> (quiet(X0) & humble(X0))) [input p7]
14. ! [X0] : ((~strong(X0) & humble(X0)) <=> humble(X0)) [input p13]... | 0 |
If someone is both not kind and not old then someone is both not happy and brave and vice versa. If someone is either not calm or creative then paul is both calm and not quiet. Everyone who is not curious is not happy. If someone is both old and not calm then someone is curious or calm. If someone is both brave and tal... | Mary is not funny. | neutral | ((?[X]:((~kind(X)&~old(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
((?[X]:((~calm(X)<~>creative(X))))=>((calm(paul)&~quiet(paul))))&
(![X]:(~curious(X)=>~happy(X)))&
((?[X]:((old(X)&~calm(X))))=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:(~generous(X))))&
(![X]:((calm(X)|~happy(X))<=>(~generous(X)... | ~funny(mary) | [] | null | 0 |
If someone is old then john is either kind or not kind and vice versa. Everyone who is brave is not brave or not humble. Everyone who is both not kind and happy is funny or wise. If susan is wise then alice is funny or curious. Everyone who is wise or quiet is brave or not brave. Everyone who is either not strong or no... | Susan is not curious. | neutral | ((?[X]:(old(X)))<=>((kind(john)<~>~kind(john))))&
(![X]:(brave(X)=>(~brave(X)|~humble(X))))&
(![X]:((~kind(X)&happy(X))=>(funny(X)|wise(X))))&
((wise(susan))=>((funny(alice)|curious(alice))))&
(![X]:((wise(X)|quiet(X))=>(brave(X)|~brave(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~strong(X)|patient(X))))&
(![X]:((funny(X)... | ~curious(susan) | [] | null | 0 |
Everyone who is both curious and not old is both not humble and humble.
Everyone who is either not creative or wise is not funny and vice versa.
If john is not patient or not kind then someone is not rich or creative and vice versa.
If someone is wise then lucy is humble and vice versa.
Everyone who is curious or not f... | Lucy is humble. | entailment | (![X]:((curious(X)&~old(X))=>(~humble(X)&humble(X))))&
(![X]:((~creative(X)<~>wise(X))<=>~funny(X)))&
(((~patient(john)|~kind(john)))<=>(?[X]:((~rich(X)|creative(X)))))&
((?[X]:(wise(X)))<=>(humble(lucy)))&
(![X]:((curious(X)|~funny(X))<=>(tall(X)<~>generous(X))))&
(![X]:(~funny(X)=>(wise(X)|strong(X))))&
((calm(paul))... | humble(lucy) | [
"p0",
"p3",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3965774839558968656726436
% SZS output start Proof for 3965774839558968656726436
1. ! [X0] : ((~old(X0) & curious(X0)) => (humble(X0) & ~humble(X0))) [input p0]
4. ? [X0] : wise(X0) <=> humble(lucy) [input p3]
8. ! [X0] : ((~curious(X0) | ~humble(X0)) <=> (old(X0) | rich(X0))) [input p7]
... | 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 alice is curious then someone is calm and vice versa. Everyone who is both not humble and curious is either not funny or not calm and vice versa. If mary is either not wise or not creative then ... | Mary is brave. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((curious(alice))<=>(?[X]:(calm(X))))&
(![X]:((~humble(X)&curious(X))<=>(~funny(X)<~>~calm(X))))&
(((~wise(mary)<~>~creative(mary)))=>(?[X]:(rich(X))))&
(![X]:((happy(X)<~>funny(X))<=>~tall(X)))&
((?[X]:((~creative(X)|humbl... | brave(mary) | [
"p0",
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2595244782005303969529502
% SZS output start Proof for 2595244782005303969529502
1. ! [X0] : ((kind(X0) | curious(X0)) => (~brave(X0) & curious(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
11. ? [X0] : ~curious(X0) => quiet(lucy) [input p10]
25. brave(m... | 0 |
Everyone who is both humble and quiet is both not generous and patient and vice versa.
If john is curious or not generous then alice is either quiet or calm and vice versa.
If someone is either wise or brave then lucy is both not generous and not creative.
If alice is either old or not strong then someone is not genero... | Fred is quiet. | entailment | (![X]:((humble(X)&quiet(X))<=>(~generous(X)&patient(X))))&
(((curious(john)|~generous(john)))<=>((quiet(alice)<~>calm(alice))))&
((?[X]:((wise(X)<~>brave(X))))=>((~generous(lucy)&~creative(lucy))))&
(((old(alice)<~>~strong(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:(... | quiet(fred) | [
"p2",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9211332816841883705189704
% SZS output start Proof for 9211332816841883705189704
3. ? [X0] : (wise(X0) <~> brave(X0)) => (~creative(lucy) & ~generous(lucy)) [input p2]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => (creative(X0) & generous(X0))) [input p6]
11. ! [X0] : ((strong(X0) | genero... | 0 |
If john is creative then paul is both strong and not patient and vice versa. Everyone who is patient is both rich and brave and vice versa. If someone is quiet then paul is strong or not happy. Everyone who is either not kind or old is both not humble and happy and vice versa. If paul is either not old or not generous ... | John is curious. | neutral | ((creative(john))<=>((strong(paul)&~patient(paul))))&
(![X]:(patient(X)<=>(rich(X)&brave(X))))&
((?[X]:(quiet(X)))=>((strong(paul)|~happy(paul))))&
(![X]:((~kind(X)<~>old(X))<=>(~humble(X)&happy(X))))&
(((~old(paul)<~>~generous(paul)))<=>(~rich(mary)))&
((?[X]:((creative(X)<~>brave(X))))=>(?[X]:((patient(X)&~brave(X)))... | curious(john) | [] | null | 0 |
If john is not rich or not brave then fred is both not funny and not strong.
Everyone who is brave is either calm or funny.
If someone is not happy then someone is both not kind and not calm and vice versa.
If someone is either creative or not calm then someone is wise and vice versa.
Everyone who is strong is either h... | Lucy is creative. | contradiction | (((~rich(john)|~brave(john)))=>((~funny(fred)&~strong(fred))))&
(![X]:(brave(X)=>(calm(X)<~>funny(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~kind(X)&~calm(X)))))&
((?[X]:((creative(X)<~>~calm(X))))<=>(?[X]:(wise(X))))&
(![X]:(strong(X)<=>(happy(X)<~>brave(X))))&
(![X]:((~generous(X)|~strong(X))=>~curious(X)))&
(![X]:((kind(... | creative(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3739443623464952798396997
% SZS output start Proof for 3739443623464952798396997
8. ? [X0] : (~patient(X0) | creative(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p7]
23. creative(lucy) [input hypothesis]
26. ? [X0] : (~patient(X0) | creative(X0)) <=> ? [X1] : (~rich(X1) & rich(X1)) [r... | 0 |
Everyone who is both calm and not happy is tall.
If lucy is both tall and not quiet then paul is both wise and strong.
Everyone who is both quiet and not humble is either tall or calm.
Everyone who is either not generous or not old is wise or rich and vice versa.
Everyone who is happy is either humble or not tall and v... | Lucy is not wise. | entailment | (![X]:((calm(X)&~happy(X))=>tall(X)))&
(((tall(lucy)&~quiet(lucy)))=>((wise(paul)&strong(paul))))&
(![X]:((quiet(X)&~humble(X))=>(tall(X)<~>calm(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(wise(X)|rich(X))))&
(![X]:(happy(X)<=>(humble(X)<~>~tall(X))))&
(![X]:((kind(X)|~humble(X))<=>(wise(X)<~>~humble(X))))&
(((strong(joh... | ~wise(lucy) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9133461379535888778729042
% SZS output start Proof for 9133461379535888778729042
6. ! [X0] : ((~humble(X0) | kind(X0)) <=> (wise(X0) <~> ~humble(X0))) [input p5]
19. ~tall(lucy) & ~kind(lucy) [input p18]
25. wise(lucy) [input hypothesis]
46. ! [X0] : (((~humble(X0) | kind(X0)) | ((wise(X0... | 0 |
If someone is either creative or not tall then paul is not old or funny and vice versa.
Everyone who is not rich or brave is both curious and not happy.
If paul is kind or not wise then someone is happy or not funny and vice versa.
Everyone who is both not humble and not tall is either calm or funny and vice versa.
If ... | Paul is funny. | neutral | ((?[X]:((creative(X)<~>~tall(X))))<=>((~old(paul)|funny(paul))))&
(![X]:((~rich(X)|brave(X))=>(curious(X)&~happy(X))))&
(((kind(paul)|~wise(paul)))<=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)<~>funny(X))))&
(((happy(mary)&~generous(mary)))<=>(humble(john)))&
(![X]:((~humble(X)&kind(X))=>(~... | funny(paul) | [] | null | 0 |
If someone is both not humble and kind then someone is both not kind and wise and vice versa.
If fred is either not rich or strong then someone is both not creative and not calm and vice versa.
If susan is not tall then someone is calm or rich.
Everyone who is either funny or patient is not rich and vice versa.
Everyon... | Alice is strong. | entailment | ((?[X]:((~humble(X)&kind(X))))<=>(?[X]:((~kind(X)&wise(X)))))&
(((~rich(fred)<~>strong(fred)))<=>(?[X]:((~creative(X)&~calm(X)))))&
((~tall(susan))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((funny(X)<~>patient(X))<=>~rich(X)))&
(![X]:((brave(X)|calm(X))<=>~old(X)))&
(((brave(mary)&~patient(mary)))=>(?[X]:(~funny(X))))&
(((c... | strong(alice) | [
"p6",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 721155604933567510220692
% SZS output start Proof for 721155604933567510220692
7. (~happy(lucy) & curious(lucy)) <=> kind(alice) [input p6]
9. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) & patient(X0))) [input p8]
15. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~happy(X0) <~> ~rich(X0)))... | 0 |
Everyone who is either rich or not generous is not funny or humble.
Everyone who is both not old and generous is funny or quiet and vice versa.
Everyone who is not tall is patient or wise.
Everyone who is both not tall and calm is not curious or not generous and vice versa.
Everyone who is both strong and not calm is e... | Fred is not happy. | contradiction | (![X]:((rich(X)<~>~generous(X))=>(~funny(X)|humble(X))))&
(![X]:((~old(X)&generous(X))<=>(funny(X)|quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|wise(X))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)|~generous(X))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~tall(X)|strong(X))<=>(~curious(X)|~brave(X))... | ~happy(fred) | [
"p1",
"p7",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 70067835558946509164962
% SZS output start Proof for 70067835558946509164962
2. ! [X0] : ((generous(X0) & ~old(X0)) <=> (quiet(X0) | funny(X0))) [input p1]
8. ? [X0] : (happy(X0) | wise(X0)) => funny(fred) [input p7]
9. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => (curious(X0) & ~generous(X0)... | 0 |
If lucy is patient or not strong then someone is both not happy and kind and vice versa.
Everyone who is both calm and strong is either not wise or old.
If someone is tall or not humble then someone is either creative or generous.
Everyone who is not tall or not rich is both old and not curious.
If john is either not f... | Mary is funny. | contradiction | (((patient(lucy)|~strong(lucy)))<=>(?[X]:((~happy(X)&kind(X)))))&
(![X]:((calm(X)&strong(X))=>(~wise(X)<~>old(X))))&
((?[X]:((tall(X)|~humble(X))))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)|~rich(X))=>(old(X)&~curious(X))))&
(((~funny(john)<~>creative(john)))<=>((humble(paul)|curious(paul))))&
(![X]:(wis... | funny(mary) | [
"p6",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2250427071802593412894556
% SZS output start Proof for 2250427071802593412894556
7. ! [X0] : ((brave(X0) | ~funny(X0)) <=> curious(X0)) [input p6]
14. ! [X0] : (~old(X0) => curious(X0)) [input p13]
15. ! [X0] : ((old(X0) | happy(X0)) <=> ~old(X0)) [input p14]
20. ~brave(mary) & generous(m... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is not humble or funny is both not curious and tall.
Everyone who is rich or curious is happy.
Everyone who is patient is either happy or creative and vice versa.
Everyone who is both not kind and not generous is either not curious or... | Fred is not quiet. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:((~humble(X)|funny(X))=>(~curious(X)&tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous(X))=>(~curious(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quie... | ~quiet(fred) | [
"p2",
"p3",
"p7",
"p8",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3429978134566582842523877
% SZS output start Proof for 3429978134566582842523877
3. ! [X0] : ((curious(X0) | rich(X0)) => happy(X0)) [input p2]
4. ! [X0] : (patient(X0) <=> (happy(X0) <~> creative(X0))) [input p3]
8. ? [X0] : ~wise(X0) <=> (~funny(fred) & creative(fred)) [input p7]
9. (~c... | 0 |
If fred is tall or not patient then paul is not kind or happy and vice versa. Everyone who is quiet is kind. Everyone who is either rich or funny is either strong or generous and vice versa. Everyone who is either tall or creative is quiet or not strong. Everyone who is both not tall and wise is not curious and vice ve... | Paul is not curious. | contradiction | (((tall(fred)|~patient(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:(quiet(X)=>kind(X)))&
(![X]:((rich(X)<~>funny(X))<=>(strong(X)<~>generous(X))))&
(![X]:((tall(X)<~>creative(X))=>(quiet(X)|~strong(X))))&
(![X]:((~tall(X)&wise(X))<=>~curious(X)))&
(![X]:(generous(X)<=>(brave(X)|old(X))))&
(![X]:((~rich(X)|brave(X))<=... | ~curious(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5798737951297405755563856
% SZS output start Proof for 5798737951297405755563856
3. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (strong(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((tall(X0) <~> creative(X0)) => (~strong(X0) | quiet(X0))) [input p3]
5. ! [X0] : ((wise(X0) & ~tall(X0)) <=> ~c... | 0 |
Everyone who is not brave or not old is either not creative or quiet and vice versa.
If lucy is generous then alice is either quiet or not happy and vice versa.
If john is either quiet or patient then someone is both not wise and old and vice versa.
Everyone who is tall is curious and vice versa.
If john is both not ol... | Lucy is not wise. | neutral | (![X]:((~brave(X)|~old(X))<=>(~creative(X)<~>quiet(X))))&
((generous(lucy))<=>((quiet(alice)<~>~happy(alice))))&
(((quiet(john)<~>patient(john)))<=>(?[X]:((~wise(X)&old(X)))))&
(![X]:(tall(X)<=>curious(X)))&
(((~old(john)&happy(john)))=>(?[X]:((patient(X)|generous(X)))))&
((~kind(mary))=>(?[X]:((~wise(X)|funny(X)))))&
... | ~wise(lucy) | [] | null | 0 |
Everyone who is both not generous and not rich is both rich and not creative and vice versa.
Everyone who is not calm is not patient or strong and vice versa.
Everyone who is either not humble or calm is not calm or creative.
Everyone who is not calm is old or not rich and vice versa.
If lucy is curious or not humble t... | Mary is not old. | entailment | (![X]:((~generous(X)&~rich(X))<=>(rich(X)&~creative(X))))&
(![X]:(~calm(X)<=>(~patient(X)|strong(X))))&
(![X]:((~humble(X)<~>calm(X))=>(~calm(X)|creative(X))))&
(![X]:(~calm(X)<=>(old(X)|~rich(X))))&
(((curious(lucy)|~humble(lucy)))<=>((~humble(lucy)|~strong(lucy))))&
((?[X]:((~calm(X)&~rich(X))))<=>((~creative(alice)<... | ~old(mary) | [
"p1",
"p3",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6788314090755755839476756
% SZS output start Proof for 6788314090755755839476756
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~patient(X0))) [input p1]
4. ! [X0] : (~calm(X0) <=> (~rich(X0) | old(X0))) [input p3]
7. ! [X0] : (~strong(X0) <=> curious(X0)) [input p6]
15. ! [X0] : ((~calm(X0) | ... | 0 |
If someone is either brave or not rich then someone is both quiet and not strong and vice versa.
If someone is kind or not creative then mary is not quiet or old and vice versa.
If someone is both not humble and not strong then paul is not quiet and vice versa.
Everyone who is both not quiet and happy is both generous ... | Paul is curious. | neutral | ((?[X]:((brave(X)<~>~rich(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
((?[X]:((kind(X)|~creative(X))))<=>((~quiet(mary)|old(mary))))&
((?[X]:((~humble(X)&~strong(X))))<=>(~quiet(paul)))&
(![X]:((~quiet(X)&happy(X))<=>(generous(X)&~quiet(X))))&
((?[X]:(~rich(X)))=>((~calm(paul)&~old(paul))))&
(![X]:((old(X)|patient(X))<=>(... | curious(paul) | [] | null | 0 |
If mary is not generous or strong then someone is either not creative or not brave and vice versa.
Everyone who is either generous or not curious is either not generous or strong.
Everyone who is either not wise or strong is not tall and vice versa.
If fred is either not humble or not rich then fred is not old or tall ... | Mary is not humble. | neutral | (((~generous(mary)|strong(mary)))<=>(?[X]:((~creative(X)<~>~brave(X)))))&
(![X]:((generous(X)<~>~curious(X))=>(~generous(X)<~>strong(X))))&
(![X]:((~wise(X)<~>strong(X))<=>~tall(X)))&
(((~humble(fred)<~>~rich(fred)))<=>((~old(fred)|tall(fred))))&
(((~creative(john)&~curious(john)))=>(?[X]:((~calm(X)|patient(X)))))&
(![... | ~humble(mary) | [] | null | 0 |
Everyone who is either happy or not strong is both not funny and brave.
If mary is funny then someone is not kind and vice versa.
Everyone who is kind or not quiet is both tall and creative and vice versa.
Everyone who is either calm or not funny is both generous and not wise and vice versa.
Everyone who is quiet or ha... | Lucy is curious. | neutral | (![X]:((happy(X)<~>~strong(X))=>(~funny(X)&brave(X))))&
((funny(mary))<=>(?[X]:(~kind(X))))&
(![X]:((kind(X)|~quiet(X))<=>(tall(X)&creative(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(generous(X)&~wise(X))))&
(![X]:((quiet(X)|happy(X))<=>(wise(X)&generous(X))))&
(![X]:((generous(X)&~quiet(X))=>(~kind(X)<~>generous(X))))&
((... | curious(lucy) | [] | null | 0 |
Everyone who is tall is either not happy or not rich and vice versa. If john is generous then someone is either rich or not generous and vice versa. Everyone who is not tall or funny is old or not calm and vice versa. If paul is both creative and quiet then someone is either not curious or rich. If someone is both rich... | Mary is calm. | contradiction | (![X]:(tall(X)<=>(~happy(X)<~>~rich(X))))&
((generous(john))<=>(?[X]:((rich(X)<~>~generous(X)))))&
(![X]:((~tall(X)|funny(X))<=>(old(X)|~calm(X))))&
(((creative(paul)&quiet(paul)))=>(?[X]:((~curious(X)<~>rich(X)))))&
((?[X]:((rich(X)&calm(X))))=>((old(lucy)&~wise(lucy))))&
(![X]:((~generous(X)|creative(X))=>~funny(X)))... | calm(mary) | [
"p2",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7456953814057107946194322
% SZS output start Proof for 7456953814057107946194322
3. ! [X0] : ((funny(X0) | ~tall(X0)) <=> (~calm(X0) | old(X0))) [input p2]
10. ! [X0] : (~calm(X0) <=> (kind(X0) | old(X0))) [input p9]
14. ! [X0] : ((~wise(X0) & funny(X0)) <=> (generous(X0) | ~creative(X0))... | 0 |
Everyone who is creative is not old or quiet and vice versa.
Everyone who is either wise or not wise is kind or not funny.
If mary is funny or wise then fred is both humble and patient.
If someone is not humble then fred is either wise or patient.
If someone is not generous or old then fred is either brave or not kind ... | Fred is old. | entailment | (![X]:(creative(X)<=>(~old(X)|quiet(X))))&
(![X]:((wise(X)<~>~wise(X))=>(kind(X)|~funny(X))))&
(((funny(mary)|wise(mary)))=>((humble(fred)&patient(fred))))&
((?[X]:(~humble(X)))=>((wise(fred)<~>patient(fred))))&
((?[X]:((~generous(X)|old(X))))<=>((brave(fred)<~>~kind(fred))))&
(![X]:((~humble(X)|calm(X))=>(~funny(X)<~>... | old(fred) | [
"p0",
"p1",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1962802234963072078174709
% SZS output start Proof for 1962802234963072078174709
1. ! [X0] : (creative(X0) <=> (quiet(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((wise(X0) <~> ~wise(X0)) => (~funny(X0) | kind(X0))) [input p1]
8. ! [X0] : (funny(X0) <=> (~tall(X0) | ~quiet(X0))) [input p7]
11... | 0 |
If someone is both not funny and happy then paul is creative and vice versa.
Everyone who is either creative or not quiet is either not brave or not curious and vice versa.
Everyone who is not generous is wise or creative and vice versa.
Everyone who is not wise or not humble is not funny and vice versa.
If someone is ... | Lucy is humble. | neutral | ((?[X]:((~funny(X)&happy(X))))<=>(creative(paul)))&
(![X]:((creative(X)<~>~quiet(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:(~generous(X)<=>(wise(X)|creative(X))))&
(![X]:((~wise(X)|~humble(X))<=>~funny(X)))&
((?[X]:(kind(X)))=>(?[X]:((~tall(X)|generous(X)))))&
(![X]:((~funny(X)|~humble(X))=>(~generous(X)|humble(X))))&
(... | humble(lucy) | [] | null | 0 |
Everyone who is both not tall and happy is creative or rich.
If someone is not creative then someone is both humble and not kind.
If someone is either rich or not wise then susan is rich or not wise and vice versa.
If someone is wise or not generous then someone is both not rich and patient and vice versa.
Everyone who... | Alice is humble. | neutral | (![X]:((~tall(X)&happy(X))=>(creative(X)|rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((humble(X)&~kind(X)))))&
((?[X]:((rich(X)<~>~wise(X))))<=>((rich(susan)|~wise(susan))))&
((?[X]:((wise(X)|~generous(X))))<=>(?[X]:((~rich(X)&patient(X)))))&
(![X]:((calm(X)&curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((~funny(X)|~patien... | humble(alice) | [] | null | 0 |
Everyone who is either not old or not happy is either not creative or not humble.
If paul is wise then someone is not strong.
Everyone who is not calm is kind.
If someone is either quiet or brave then alice is quiet or not rich and vice versa.
Everyone who is not strong is not rich.
Everyone who is curious is quiet.
Ev... | Alice is not humble. | neutral | (![X]:((~old(X)<~>~happy(X))=>(~creative(X)<~>~humble(X))))&
((wise(paul))=>(?[X]:(~strong(X))))&
(![X]:(~calm(X)=>kind(X)))&
((?[X]:((quiet(X)<~>brave(X))))<=>((quiet(alice)|~rich(alice))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~creative(X)<=>(curious(X)<~>quiet(X))))&
(![X]:(happy(X)<=... | ~humble(alice) | [] | null | 0 |
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