premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not rich or humble is funny or rich and vice versa.
If someone is not strong then lucy is kind or not creative.
Everyone who is both not generous and not brave is either brave or not funny and vice versa.
If someone is brave or quiet then someone is either funny or patient.
Everyone who is not quiet is ... | Susan is kind. | contradiction | (![X]:((~rich(X)|humble(X))<=>(funny(X)|rich(X))))&
((?[X]:(~strong(X)))=>((kind(lucy)|~creative(lucy))))&
(![X]:((~generous(X)&~brave(X))<=>(brave(X)<~>~funny(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((funny(X)<~>patient(X)))))&
(![X]:(~quiet(X)<=>(quiet(X)<~>~kind(X))))&
((?[X]:(~kind(X)))=>(~tall(paul)))&
(![X]:(... | kind(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7439354311707722748748891
% SZS output start Proof for 7439354311707722748748891
5. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> ~kind(X0))) [input p4]
25. kind(susan) [input hypothesis]
47. ! [X0] : ((~quiet(X0) | ((quiet(X0) | kind(X0)) & (~kind(X0) | ~quiet(X0)))) & (((kind(X0) | ~quiet(X0)... | 0 |
Everyone who is not happy or wise is not happy.
If mary is either quiet or not funny then someone is either not humble or not quiet.
If someone is curious or kind then someone is either strong or not brave.
If someone is both not wise and not patient then someone is not strong or not funny and vice versa.
Everyone who ... | John is not happy. | contradiction | (![X]:((~happy(X)|wise(X))=>~happy(X)))&
(((quiet(mary)<~>~funny(mary)))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((curious(X)|kind(X))))=>(?[X]:((strong(X)<~>~brave(X)))))&
((?[X]:((~wise(X)&~patient(X))))<=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:((~quiet(X)<~>strong(X))<=>old(X)))&
(![X]:((funny(X)&~happy(X))=>~c... | ~happy(john) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4537748031512429710901113
% SZS output start Proof for 4537748031512429710901113
11. ! [X0] : ((happy(X0) <~> brave(X0)) <=> (~calm(X0) & happy(X0))) [input p10]
22. brave(john) & ~tall(john) [input p21]
23. ~happy(john) [input hypothesis]
58. ! [X0] : ((((~brave(X0) | ~happy(X0)) & (brav... | 0 |
If paul is both not brave and not curious then someone is not strong or patient and vice versa.
Everyone who is not generous or not calm is either not strong or generous and vice versa.
Everyone who is quiet or not patient is wise and vice versa.
Everyone who is strong or not tall is funny.
Everyone who is either humbl... | John is not funny. | neutral | (((~brave(paul)&~curious(paul)))<=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:((~generous(X)|~calm(X))<=>(~strong(X)<~>generous(X))))&
(![X]:((quiet(X)|~patient(X))<=>wise(X)))&
(![X]:((strong(X)|~tall(X))=>funny(X)))&
(![X]:((humble(X)<~>~curious(X))=>(~rich(X)|kind(X))))&
(((~kind(fred)&rich(fred)))=>((generous(john)<~... | ~funny(john) | [] | null | 0 |
If someone is not kind then susan is not old. Everyone who is patient or strong is both not curious and not kind. If paul is kind or not tall then someone is old or kind and vice versa. Everyone who is both not tall and rich is either creative or patient. If someone is either calm or not tall then someone is kind or ri... | Susan is old. | contradiction | ((?[X]:(~kind(X)))=>(~old(susan)))&
(![X]:((patient(X)|strong(X))=>(~curious(X)&~kind(X))))&
(((kind(paul)|~tall(paul)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~tall(X)&rich(X))=>(creative(X)<~>patient(X))))&
((?[X]:((calm(X)<~>~tall(X))))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((~kind(X)&~humble(X))=>~creative(X)))&
(![X... | old(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6819755491315530209957124
% SZS output start Proof for 6819755491315530209957124
9. ! [X0] : (old(X0) <=> (~tall(X0) & ~old(X0))) [input p8]
25. old(susan) [input hypothesis]
55. ! [X0] : ((old(X0) | (tall(X0) | old(X0))) & ((~tall(X0) & ~old(X0)) | ~old(X0))) [nnf transformation 9]
56. !... | 0 |
Everyone who is both not quiet and not happy is not patient and vice versa.
Everyone who is curious is creative and vice versa.
Everyone who is both not patient and curious is not tall or not quiet and vice versa.
Everyone who is not funny is either old or not generous.
Everyone who is both not humble and not wise is n... | Susan is wise. | contradiction | (![X]:((~quiet(X)&~happy(X))<=>~patient(X)))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:((~patient(X)&curious(X))<=>(~tall(X)|~quiet(X))))&
(![X]:(~funny(X)=>(old(X)<~>~generous(X))))&
(![X]:((~humble(X)&~wise(X))<=>~calm(X)))&
(![X]:((humble(X)<~>~rich(X))<=>(generous(X)&~wise(X))))&
(![X]:((~strong(X)<~>~humble(X))<=>... | wise(susan) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2051567375788071486505252
% SZS output start Proof for 2051567375788071486505252
1. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> ~patient(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) & ~patient(X0)) <=> (~quiet(X0) | ~tall(X0))) [input p2]
6. ... | 0 |
If susan is strong or not brave then alice is either not brave or not kind. If someone is either not strong or creative then lucy is humble or not tall and vice versa. Everyone who is both strong and not old is either strong or calm. If someone is either not quiet or not strong then someone is creative or generous. Eve... | Lucy is brave. | neutral | (((strong(susan)|~brave(susan)))=>((~brave(alice)<~>~kind(alice))))&
((?[X]:((~strong(X)<~>creative(X))))<=>((humble(lucy)|~tall(lucy))))&
(![X]:((strong(X)&~old(X))=>(strong(X)<~>calm(X))))&
((?[X]:((~quiet(X)<~>~strong(X))))=>(?[X]:((creative(X)|generous(X)))))&
(![X]:((~brave(X)<~>happy(X))=>(curious(X)|~old(X))))&
... | brave(lucy) | [] | null | 0 |
Everyone who is not creative or not brave is either not wise or happy and vice versa.
Everyone who is curious is not happy or funny and vice versa.
Everyone who is brave is both rich and not strong and vice versa.
If someone is both funny and brave then paul is both not tall and not funny.
Everyone who is either wise o... | Fred is brave. | contradiction | (![X]:((~creative(X)|~brave(X))<=>(~wise(X)<~>happy(X))))&
(![X]:(curious(X)<=>(~happy(X)|funny(X))))&
(![X]:(brave(X)<=>(rich(X)&~strong(X))))&
((?[X]:((funny(X)&brave(X))))=>((~tall(paul)&~funny(paul))))&
(![X]:((wise(X)<~>~calm(X))=>(~strong(X)<~>quiet(X))))&
(((~happy(paul)|~funny(paul)))=>((~patient(fred)|~rich(fr... | brave(fred) | [
"p1",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4003079781514145126953449
% SZS output start Proof for 4003079781514145126953449
2. ! [X0] : (curious(X0) <=> (funny(X0) | ~happy(X0))) [input p1]
11. ! [X0] : (brave(X0) <=> (creative(X0) & happy(X0))) [input p10]
13. ! [X0] : (~calm(X0) <=> (funny(X0) <~> ~curious(X0))) [input p12]
14. ... | 0 |
If mary is not humble or not calm then john is rich. If someone is both happy and not patient then someone is not calm or not funny and vice versa. Everyone who is either wise or happy is both not curious and creative. Everyone who is either humble or creative is both not patient and wise and vice versa. If someone is ... | Alice is patient. | neutral | (((~humble(mary)|~calm(mary)))=>(rich(john)))&
((?[X]:((happy(X)&~patient(X))))<=>(?[X]:((~calm(X)|~funny(X)))))&
(![X]:((wise(X)<~>happy(X))=>(~curious(X)&creative(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~patient(X)&wise(X))))&
((?[X]:((~patient(X)&~old(X))))=>(~wise(fred)))&
((?[X]:(~strong(X)))<=>(?[X]:((~calm(X)... | patient(alice) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is not funny then someone is not brave or wise and vice versa.
Everyone who is both not tall and not strong is either not wise or not strong and vice versa.
Everyone who is both old and creative is either strong or not wise and... | John is calm. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((~funny(john))<=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(!... | calm(john) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7380016420564391188657476
% SZS output start Proof for 7380016420564391188657476
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p2]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (... | 0 |
If someone is not curious or quiet then mary is not quiet. If someone is patient or wise then someone is funny or not happy and vice versa. If lucy is not creative or funny then someone is not wise. Everyone who is either not funny or patient is not quiet or not curious and vice versa. Everyone who is not humble is not... | Paul is funny. | contradiction | ((?[X]:((~curious(X)|quiet(X))))=>(~quiet(mary)))&
((?[X]:((patient(X)|wise(X))))<=>(?[X]:((funny(X)|~happy(X)))))&
(((~creative(lucy)|funny(lucy)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(~quiet(X)|~curious(X))))&
(![X]:(~humble(X)<=>(~tall(X)|~brave(X))))&
(((funny(mary)&tall(mary)))<=>(?[X]:(~tall(X)... | funny(paul) | [
"p3",
"p10",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7196527727542608747712655
% SZS output start Proof for 7196527727542608747712655
4. ! [X0] : ((~funny(X0) <~> patient(X0)) <=> (~curious(X0) | ~quiet(X0))) [input p3]
11. ! [X0] : ((rich(X0) | ~rich(X0)) => (~rich(X0) <~> patient(X0))) [input p10]
19. ~rich(paul) [input p18]
20. ~funny(pa... | 0 |
If fred is not happy or not old then someone is either not brave or not generous and vice versa. If someone is happy or not creative then alice is not old. If someone is not tall or not generous then someone is both kind and curious. Everyone who is not happy or brave is not creative and vice versa. Everyone who is eit... | Mary is not happy. | contradiction | (((~happy(fred)|~old(fred)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:((happy(X)|~creative(X))))=>(~old(alice)))&
((?[X]:((~tall(X)|~generous(X))))=>(?[X]:((kind(X)&curious(X)))))&
(![X]:((~happy(X)|brave(X))<=>~creative(X)))&
(![X]:((~creative(X)<~>funny(X))=>(kind(X)&patient(X))))&
((?[X]:(~patient(X)))=>(?[X]:... | ~happy(mary) | [
"p2",
"p3",
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4364591396199364422321522
% SZS output start Proof for 4364591396199364422321522
3. ? [X0] : (~generous(X0) | ~tall(X0)) => ? [X0] : (curious(X0) & kind(X0)) [input p2]
4. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~creative(X0)) [input p3]
5. ! [X0] : ((~creative(X0) <~> funny(X0)) => (patie... | 0 |
Everyone who is either old or not curious is not happy.
Everyone who is not brave is not old or rich and vice versa.
Everyone who is old or not curious is both not creative and funny and vice versa.
Everyone who is kind is not funny and vice versa.
If someone is not calm or brave then someone is both not brave and not ... | Lucy is not generous. | contradiction | (![X]:((old(X)<~>~curious(X))=>~happy(X)))&
(![X]:(~brave(X)<=>(~old(X)|rich(X))))&
(![X]:((old(X)|~curious(X))<=>(~creative(X)&funny(X))))&
(![X]:(kind(X)<=>~funny(X)))&
((?[X]:((~calm(X)|brave(X))))<=>(?[X]:((~brave(X)&~old(X)))))&
((?[X]:(wise(X)))<=>(?[X]:(calm(X))))&
(((~kind(lucy)<~>creative(lucy)))=>((~generous(... | ~generous(lucy) | [
"p2",
"p3",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 89075599664767887619765
% SZS output start Proof for 89075599664767887619765
3. ! [X0] : ((~curious(X0) | old(X0)) <=> (funny(X0) & ~creative(X0))) [input p2]
4. ! [X0] : (kind(X0) <=> ~funny(X0)) [input p3]
9. ! [X0] : ((~generous(X0) | ~strong(X0)) => (~wise(X0) & kind(X0))) [input p8]
... | 0 |
Everyone who is curious is not creative. Everyone who is not strong or creative is strong and vice versa. If someone is not kind then fred is brave or not calm and vice versa. Everyone who is both not funny and not brave is not kind. If mary is either generous or not old then someone is brave or not humble and vice ver... | Fred is funny. | neutral | (![X]:(curious(X)=>~creative(X)))&
(![X]:((~strong(X)|creative(X))<=>strong(X)))&
((?[X]:(~kind(X)))<=>((brave(fred)|~calm(fred))))&
(![X]:((~funny(X)&~brave(X))=>~kind(X)))&
(((generous(mary)<~>~old(mary)))<=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((~funny(X)<~>~brave(X))<=>~generous(X)))&
(![X]:(kind(X)=>(quiet(X)&~h... | funny(fred) | [] | null | 0 |
Everyone who is either not quiet or old is both not creative and not strong. Everyone who is either not funny or wise is either patient or strong and vice versa. If susan is not wise then someone is both not generous and humble. Everyone who is both not patient and not happy is either rich or generous and vice versa. E... | Mary is not rich. | entailment | (![X]:((~quiet(X)<~>old(X))=>(~creative(X)&~strong(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(patient(X)<~>strong(X))))&
((~wise(susan))=>(?[X]:((~generous(X)&humble(X)))))&
(![X]:((~patient(X)&~happy(X))<=>(rich(X)<~>generous(X))))&
(![X]:(~calm(X)<=>(~wise(X)&kind(X))))&
((?[X]:((~curious(X)&calm(X))))=>(?[X]:((~generous... | ~rich(mary) | [
"p4",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7823551723153805058429369
% SZS output start Proof for 7823551723153805058429369
5. ! [X0] : (~calm(X0) <=> (kind(X0) & ~wise(X0))) [input p4]
14. ! [X0] : ((~kind(X0) & rich(X0)) <=> (rich(X0) & ~calm(X0))) [input p13]
20. ~kind(mary) <~> ~rich(mary) [input p19]
25. rich(mary) [input hyp... | 0 |
If mary is either not wise or humble then someone is both not old and not generous.
If someone is both generous and not funny then mary is both not curious and not funny.
Everyone who is funny or not tall is both rich and strong.
Everyone who is both curious and creative is old and vice versa.
Everyone who is either cr... | John is not kind. | neutral | (((~wise(mary)<~>humble(mary)))=>(?[X]:((~old(X)&~generous(X)))))&
((?[X]:((generous(X)&~funny(X))))=>((~curious(mary)&~funny(mary))))&
(![X]:((funny(X)|~tall(X))=>(rich(X)&strong(X))))&
(![X]:((curious(X)&creative(X))<=>old(X)))&
(![X]:((creative(X)<~>~curious(X))<=>~brave(X)))&
(![X]:((strong(X)&tall(X))=>~funny(X)))... | ~kind(john) | [] | null | 0 |
Everyone who is both old and not patient is both calm and not rich.
If someone is kind then fred is either not funny or not calm.
If john is not rich then paul is either not curious or quiet and vice versa.
If someone is either not strong or not wise then susan is either curious or funny and vice versa.
Everyone who is... | John is curious. | entailment | (![X]:((old(X)&~patient(X))=>(calm(X)&~rich(X))))&
((?[X]:(kind(X)))=>((~funny(fred)<~>~calm(fred))))&
((~rich(john))<=>((~curious(paul)<~>quiet(paul))))&
((?[X]:((~strong(X)<~>~wise(X))))<=>((curious(susan)<~>funny(susan))))&
(![X]:(~funny(X)<=>(rich(X)<~>~strong(X))))&
(![X]:((kind(X)<~>generous(X))<=>(old(X)<~>brave... | curious(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7840860750788674994662563
% SZS output start Proof for 7840860750788674994662563
14. ! [X0] : ((curious(X0) & patient(X0)) <=> (old(X0) <~> ~old(X0))) [input p13]
24. ~curious(john) [input hypothesis]
52. ! [X0] : (((curious(X0) & patient(X0)) | ((old(X0) | old(X0)) & (~old(X0) | ~old(X0)... | 0 |
Everyone who is not tall or not strong is either funny or not wise and vice versa.
If john is either humble or generous then someone is both not funny and brave and vice versa.
Everyone who is either brave or not quiet is both generous and not curious and vice versa.
Everyone who is happy is not happy or quiet.
Everyon... | John is funny. | neutral | (![X]:((~tall(X)|~strong(X))<=>(funny(X)<~>~wise(X))))&
(((humble(john)<~>generous(john)))<=>(?[X]:((~funny(X)&brave(X)))))&
(![X]:((brave(X)<~>~quiet(X))<=>(generous(X)&~curious(X))))&
(![X]:(happy(X)=>(~happy(X)|quiet(X))))&
(![X]:((happy(X)|wise(X))<=>(~patient(X)|kind(X))))&
(![X]:(~patient(X)<=>(quiet(X)|~generous... | funny(john) | [] | null | 0 |
Everyone who is either creative or brave is not curious and vice versa. If mary is both not creative and not curious then lucy is either old or not generous. Everyone who is not kind or not patient is not humble or wise. If lucy is either not calm or not kind then fred is either kind or curious and vice versa. Everyone... | Mary is not wise. | neutral | (![X]:((creative(X)<~>brave(X))<=>~curious(X)))&
(((~creative(mary)&~curious(mary)))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~kind(X)|~patient(X))=>(~humble(X)|wise(X))))&
(((~calm(lucy)<~>~kind(lucy)))<=>((kind(fred)<~>curious(fred))))&
(![X]:((~patient(X)|brave(X))<=>(calm(X)<~>~happy(X))))&
((?[X]:((tall(X)<~>hap... | ~wise(mary) | [] | null | 0 |
Everyone who is not brave or not calm is either not kind or not curious and vice versa.
Everyone who is either not wise or wise is both not calm and not funny.
If fred is both happy and not brave then someone is brave or not patient and vice versa.
Everyone who is strong is both not creative and funny.
Everyone who is ... | Lucy is patient. | contradiction | (![X]:((~brave(X)|~calm(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~calm(X)&~funny(X))))&
(((happy(fred)&~brave(fred)))<=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:(strong(X)=>(~creative(X)&funny(X))))&
(![X]:((~funny(X)&~creative(X))=>(happy(X)&~happy(X))))&
(![X]:((~kind(X)<~>funny(X))=>(~strong(X)... | patient(lucy) | [
"p1",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6587662943588210327626542
% SZS output start Proof for 6587662943588210327626542
2. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~funny(X0) & ~calm(X0))) [input p1]
4. ! [X0] : (strong(X0) => (funny(X0) & ~creative(X0))) [input p3]
12. funny(susan) <=> ? [X0] : (~tall(X0) | ~creative(X0)) [inpu... | 0 |
Everyone who is either quiet or strong is tall or not quiet and vice versa. If alice is either not quiet or curious then someone is either not wise or funny and vice versa. If fred is tall then fred is both brave and strong. Everyone who is wise or not tall is kind and vice versa. Everyone who is rich is either strong ... | Fred is funny. | contradiction | (![X]:((quiet(X)<~>strong(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(alice)<~>curious(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
((tall(fred))=>((brave(fred)&strong(fred))))&
(![X]:((wise(X)|~tall(X))<=>kind(X)))&
(![X]:(rich(X)<=>(strong(X)<~>old(X))))&
(![X]:((kind(X)|generous(X))=>(humble(X)&wise(X))))&
(![X]:((~funny(... | funny(fred) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3694029839301282162212481
% SZS output start Proof for 3694029839301282162212481
1. ! [X0] : ((quiet(X0) <~> strong(X0)) <=> (~quiet(X0) | tall(X0))) [input p0]
3. tall(fred) => (strong(fred) & brave(fred)) [input p2]
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> kind(X0)) [input p3]
5. ! [X0] ... | 0 |
Everyone who is not calm or brave is calm and vice versa.
If someone is both not curious and humble then lucy is not wise or rich.
Everyone who is quiet or not calm is not rich.
If fred is rich then someone is old or not kind and vice versa.
Everyone who is both creative and not kind is funny and vice versa.
If fred is... | Fred is not generous. | entailment | (![X]:((~calm(X)|brave(X))<=>calm(X)))&
((?[X]:((~curious(X)&humble(X))))=>((~wise(lucy)|rich(lucy))))&
(![X]:((quiet(X)|~calm(X))=>~rich(X)))&
((rich(fred))<=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>funny(X)))&
(((kind(fred)&~humble(fred)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((~kind(X)|gen... | ~generous(fred) | [
"p2",
"p3",
"p4",
"p6",
"p16",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6944795466802040602138522
% SZS output start Proof for 6944795466802040602138522
3. ! [X0] : ((~calm(X0) | quiet(X0)) => ~rich(X0)) [input p2]
4. rich(fred) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
5. ! [X0] : ((~kind(X0) & creative(X0)) <=> funny(X0)) [input p4]
7. ! [X0] : ((genero... | 0 |
Everyone who is not tall is either not wise or not quiet and vice versa. If paul is both curious and not curious then paul is both patient and not tall and vice versa. Everyone who is calm is kind or humble and vice versa. If someone is both not patient and not kind then someone is curious or happy and vice versa. If s... | John is not generous. | neutral | (![X]:(~tall(X)<=>(~wise(X)<~>~quiet(X))))&
(((curious(paul)&~curious(paul)))<=>((patient(paul)&~tall(paul))))&
(![X]:(calm(X)<=>(kind(X)|humble(X))))&
((?[X]:((~patient(X)&~kind(X))))<=>(?[X]:((curious(X)|happy(X)))))&
((?[X]:(~old(X)))<=>((~humble(mary)|~curious(mary))))&
(![X]:(kind(X)<=>(~kind(X)|~wise(X))))&
(![X]... | ~generous(john) | [] | null | 0 |
If alice is not old then someone is either not generous or quiet. Everyone who is funny is kind or not humble and vice versa. If someone is not humble or calm then someone is both not happy and happy and vice versa. If fred is not patient then john is either not kind or creative and vice versa. Everyone who is either c... | John is not rich. | contradiction | ((~old(alice))=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:(funny(X)<=>(kind(X)|~humble(X))))&
((?[X]:((~humble(X)|calm(X))))<=>(?[X]:((~happy(X)&happy(X)))))&
((~patient(fred))<=>((~kind(john)<~>creative(john))))&
(![X]:((calm(X)<~>wise(X))<=>~kind(X)))&
(![X]:((humble(X)|~curious(X))=>(~happy(X)<~>generous(X))))&
(![... | ~rich(john) | [
"p2",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7047685779275113504773306
% SZS output start Proof for 7047685779275113504773306
3. ? [X0] : (calm(X0) | ~humble(X0)) <=> ? [X0] : (happy(X0) & ~happy(X0)) [input p2]
6. ! [X0] : ((~curious(X0) | humble(X0)) => (~happy(X0) <~> generous(X0))) [input p5]
12. ! [X0] : ((~quiet(X0) | ~rich(X0... | 0 |
If someone is both rich and creative then someone is old. Everyone who is either not patient or rich is both tall and brave and vice versa. Everyone who is both strong and funny is quiet. Everyone who is either not curious or rich is both not wise and rich. Everyone who is either quiet or not kind is either wise or cal... | John is curious. | entailment | ((?[X]:((rich(X)&creative(X))))=>(?[X]:(old(X))))&
(![X]:((~patient(X)<~>rich(X))<=>(tall(X)&brave(X))))&
(![X]:((strong(X)&funny(X))=>quiet(X)))&
(![X]:((~curious(X)<~>rich(X))=>(~wise(X)&rich(X))))&
(![X]:((quiet(X)<~>~kind(X))<=>(wise(X)<~>calm(X))))&
((?[X]:((~kind(X)&~creative(X))))<=>(?[X]:((humble(X)&patient(X))... | curious(john) | [
"p1",
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7782926466889135520812095
% SZS output start Proof for 7782926466889135520812095
2. ! [X0] : ((~patient(X0) <~> rich(X0)) <=> (brave(X0) & tall(X0))) [input p1]
4. ! [X0] : ((~curious(X0) <~> rich(X0)) => (rich(X0) & ~wise(X0))) [input p3]
22. ~tall(john) & patient(john) [input p21]
25. ~... | 0 |
Everyone who is not rich is old.
Everyone who is not kind is old.
If someone is both calm and not tall then alice is not calm or not old.
If someone is both happy and not generous then someone is not old and vice versa.
If alice is both not wise and not kind then someone is rich or patient and vice versa.
Everyone who ... | Paul is tall. | contradiction | (![X]:(~rich(X)=>old(X)))&
(![X]:(~kind(X)=>old(X)))&
((?[X]:((calm(X)&~tall(X))))=>((~calm(alice)|~old(alice))))&
((?[X]:((happy(X)&~generous(X))))<=>(?[X]:(~old(X))))&
(((~wise(alice)&~kind(alice)))<=>(?[X]:((rich(X)|patient(X)))))&
(![X]:((humble(X)<~>~patient(X))<=>wise(X)))&
(![X]:((~patient(X)|brave(X))<=>(patien... | tall(paul) | [
"p0",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2729361914206170355108646
% SZS output start Proof for 2729361914206170355108646
1. ! [X0] : (~rich(X0) => old(X0)) [input p0]
10. ! [X0] : ((~rich(X0) <~> strong(X0)) <=> (tall(X0) & ~strong(X0))) [input p9]
18. ~old(paul) [input p17]
24. tall(paul) [input hypothesis]
26. ! [X0] : (old(X... | 0 |
If fred is both calm and curious then susan is either curious or tall and vice versa.
If someone is not curious or happy then paul is not curious or not quiet.
Everyone who is not patient is either old or not happy.
If someone is either not calm or not rich then susan is patient or funny.
Everyone who is both not rich ... | Lucy is not humble. | entailment | (((calm(fred)&curious(fred)))<=>((curious(susan)<~>tall(susan))))&
((?[X]:((~curious(X)|happy(X))))=>((~curious(paul)|~quiet(paul))))&
(![X]:(~patient(X)=>(old(X)<~>~happy(X))))&
((?[X]:((~calm(X)<~>~rich(X))))=>((patient(susan)|funny(susan))))&
(![X]:((~rich(X)&curious(X))<=>(calm(X)|humble(X))))&
(((~brave(lucy)<~>~k... | ~humble(lucy) | [
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4983015886364872137126239
% SZS output start Proof for 4983015886364872137126239
5. ! [X0] : ((curious(X0) & ~rich(X0)) <=> (humble(X0) | calm(X0))) [input p4]
9. ! [X0] : ((~humble(X0) <~> curious(X0)) => (~creative(X0) & ~happy(X0))) [input p8]
11. ! [X0] : ((~old(X0) | humble(X0)) <=> ... | 0 |
Everyone who is strong is either happy or tall and vice versa.
Everyone who is not brave is funny and vice versa.
If alice is not generous then someone is humble or not kind.
Everyone who is both humble and patient is not patient.
Everyone who is strong is either quiet or not brave and vice versa.
If someone is not str... | Lucy is strong. | entailment | (![X]:(strong(X)<=>(happy(X)<~>tall(X))))&
(![X]:(~brave(X)<=>funny(X)))&
((~generous(alice))=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((humble(X)&patient(X))=>~patient(X)))&
(![X]:(strong(X)<=>(quiet(X)<~>~brave(X))))&
((?[X]:((~strong(X)|old(X))))=>(~humble(fred)))&
(![X]:((~rich(X)<~>old(X))<=>(funny(X)|generous(X))))... | strong(lucy) | [
"p0",
"p1",
"p4",
"p11",
"p12",
"p13",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1546624834830559511329232
% SZS output start Proof for 1546624834830559511329232
1. ! [X0] : (strong(X0) <=> (happy(X0) <~> tall(X0))) [input p0]
2. ! [X0] : (~brave(X0) <=> funny(X0)) [input p1]
5. ! [X0] : (strong(X0) <=> (quiet(X0) <~> ~brave(X0))) [input p4]
12. ! [X0] : ((kind(X0) & ... | 0 |
Everyone who is both not patient and not creative is brave or happy and vice versa.
Everyone who is either strong or brave is both not calm and funny.
Everyone who is either not curious or not quiet is both not quiet and strong.
If john is patient then john is rich and vice versa.
If someone is old or tall then someone... | Alice is not strong. | entailment | (![X]:((~patient(X)&~creative(X))<=>(brave(X)|happy(X))))&
(![X]:((strong(X)<~>brave(X))=>(~calm(X)&funny(X))))&
(![X]:((~curious(X)<~>~quiet(X))=>(~quiet(X)&strong(X))))&
((patient(john))<=>(rich(john)))&
((?[X]:((old(X)|tall(X))))=>(?[X]:(creative(X))))&
((?[X]:((wise(X)|quiet(X))))=>(?[X]:((~curious(X)&strong(X)))))... | ~strong(alice) | [
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7566283072958198137437358
% SZS output start Proof for 7566283072958198137437358
12. ! [X0] : (kind(X0) <=> (brave(X0) <~> ~creative(X0))) [input p11]
14. ! [X0] : ((~curious(X0) & ~strong(X0)) <=> kind(X0)) [input p13]
20. ~creative(alice) & ~brave(alice) [input p19]
25. strong(alice) [i... | 0 |
If lucy is either not funny or not curious then fred is either not brave or generous and vice versa.
Everyone who is both not generous and curious is both not patient and humble and vice versa.
If fred is either not tall or brave then someone is both funny and brave and vice versa.
Everyone who is not happy or creative... | Susan is quiet. | neutral | (((~funny(lucy)<~>~curious(lucy)))<=>((~brave(fred)<~>generous(fred))))&
(![X]:((~generous(X)&curious(X))<=>(~patient(X)&humble(X))))&
(((~tall(fred)<~>brave(fred)))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~happy(X)|creative(X))<=>~patient(X)))&
(![X]:((brave(X)<~>~curious(X))=>quiet(X)))&
(![X]:((~wise(X)&strong(X))=... | quiet(susan) | [] | null | 0 |
If paul is both wise and not old then john is either funny or not patient and vice versa. Everyone who is old or not old is old or creative and vice versa. Everyone who is not funny or not patient is old. Everyone who is both not creative and not generous is not brave or wise and vice versa. Everyone who is either not ... | Fred is old. | entailment | (((wise(paul)&~old(paul)))<=>((funny(john)<~>~patient(john))))&
(![X]:((old(X)|~old(X))<=>(old(X)|creative(X))))&
(![X]:((~funny(X)|~patient(X))=>old(X)))&
(![X]:((~creative(X)&~generous(X))<=>(~brave(X)|wise(X))))&
(![X]:((~rich(X)<~>~brave(X))<=>~strong(X)))&
((?[X]:((~calm(X)&~curious(X))))<=>(?[X]:((~old(X)|funny(X... | old(fred) | [
"p1",
"p6",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1548029008707879863157640
% SZS output start Proof for 1548029008707879863157640
2. ! [X0] : ((~old(X0) | old(X0)) <=> (creative(X0) | old(X0))) [input p1]
7. ! [X0] : (~humble(X0) <=> (humble(X0) & ~rich(X0))) [input p6]
11. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> (funny(X0) & ~creative... | 0 |
Everyone who is not brave is both not quiet and curious and vice versa.
If someone is either strong or brave then someone is both not strong and not kind.
Everyone who is both not generous and humble is old.
If someone is both generous and not tall then someone is not rich or not curious.
If someone is both not funny a... | Lucy is not creative. | neutral | (![X]:(~brave(X)<=>(~quiet(X)&curious(X))))&
((?[X]:((strong(X)<~>brave(X))))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:((~generous(X)&humble(X))=>old(X)))&
((?[X]:((generous(X)&~tall(X))))=>(?[X]:((~rich(X)|~curious(X)))))&
((?[X]:((~funny(X)&~quiet(X))))<=>((tall(paul)|rich(paul))))&
(![X]:((~strong(X)|~calm(X))=>patie... | ~creative(lucy) | [] | null | 0 |
If john is not generous or calm then someone is not tall or humble.
Everyone who is generous is both not tall and not quiet.
Everyone who is both not creative and not humble is either funny or happy and vice versa.
If someone is both brave and patient then alice is strong or quiet and vice versa.
Everyone who is not qu... | John is rich. | entailment | (((~generous(john)|calm(john)))=>(?[X]:((~tall(X)|humble(X)))))&
(![X]:(generous(X)=>(~tall(X)&~quiet(X))))&
(![X]:((~creative(X)&~humble(X))<=>(funny(X)<~>happy(X))))&
((?[X]:((brave(X)&patient(X))))<=>((strong(alice)|quiet(alice))))&
(![X]:((~quiet(X)|curious(X))=>(generous(X)&kind(X))))&
(![X]:((~patient(X)&wise(X))... | rich(john) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7564406756644179458152507
% SZS output start Proof for 7564406756644179458152507
2. ! [X0] : (generous(X0) => (~quiet(X0) & ~tall(X0))) [input p1]
3. ! [X0] : ((~humble(X0) & ~creative(X0)) <=> (funny(X0) <~> happy(X0))) [input p2]
5. ! [X0] : ((curious(X0) | ~quiet(X0)) => (kind(X0) & ge... | 0 |
If fred is both not humble and not patient then someone is brave and vice versa. Everyone who is not humble is creative. Everyone who is either wise or not rich is not generous. If someone is not patient then someone is either old or quiet. Everyone who is both not curious and not generous is not strong. Everyone who i... | Fred is not curious. | contradiction | (((~humble(fred)&~patient(fred)))<=>(?[X]:(brave(X))))&
(![X]:(~humble(X)=>creative(X)))&
(![X]:((wise(X)<~>~rich(X))=>~generous(X)))&
((?[X]:(~patient(X)))=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~curious(X)&~generous(X))=>~strong(X)))&
(![X]:((happy(X)&generous(X))<=>~strong(X)))&
(![X]:((rich(X)|creative(X))<=>(~gen... | ~curious(fred) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 101173284543133084458883
% SZS output start Proof for 101173284543133084458883
1. (~patient(fred) & ~humble(fred)) <=> ? [X0] : brave(X0) [input p0]
2. ! [X0] : (~humble(X0) => creative(X0)) [input p1]
5. ! [X0] : ((~generous(X0) & ~curious(X0)) => ~strong(X0)) [input p4]
6. ! [X0] : ((ge... | 0 |
If someone is both not generous and not tall then someone is either not strong or rich.
Everyone who is strong is both brave and not rich.
Everyone who is not rich or strong is not humble and vice versa.
Everyone who is patient is both not kind and generous.
Everyone who is both strong and not calm is either not wise o... | Alice is happy. | neutral | ((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((~strong(X)<~>rich(X)))))&
(![X]:(strong(X)=>(brave(X)&~rich(X))))&
(![X]:((~rich(X)|strong(X))<=>~humble(X)))&
(![X]:(patient(X)=>(~kind(X)&generous(X))))&
(![X]:((strong(X)&~calm(X))=>(~wise(X)<~>~humble(X))))&
(![X]:((~brave(X)<~>~wise(X))=>(~patient(X)&~humble(X))))&
(![X]:... | happy(alice) | [] | null | 0 |
Everyone who is either not wise or not curious is not kind.
If fred is not wise then alice is kind.
Everyone who is either curious or patient is not humble or generous and vice versa.
Everyone who is wise is calm.
If someone is both funny and calm then someone is either not rich or not happy.
If someone is either funny... | Mary is funny. | neutral | (![X]:((~wise(X)<~>~curious(X))=>~kind(X)))&
((~wise(fred))=>(kind(alice)))&
(![X]:((curious(X)<~>patient(X))<=>(~humble(X)|generous(X))))&
(![X]:(wise(X)=>calm(X)))&
((?[X]:((funny(X)&calm(X))))=>(?[X]:((~rich(X)<~>~happy(X)))))&
((?[X]:((funny(X)<~>~calm(X))))=>((~humble(mary)|~calm(mary))))&
((strong(paul))=>((quiet... | funny(mary) | [] | null | 0 |
If alice is not generous then susan is humble or not funny.
If susan is not funny then john is both not rich and humble.
Everyone who is both not happy and rich is not creative or wise and vice versa.
If someone is brave then john is both not funny and strong.
Everyone who is either not generous or not wise is both str... | Lucy is brave. | contradiction | ((~generous(alice))=>((humble(susan)|~funny(susan))))&
((~funny(susan))=>((~rich(john)&humble(john))))&
(![X]:((~happy(X)&rich(X))<=>(~creative(X)|wise(X))))&
((?[X]:(brave(X)))=>((~funny(john)&strong(john))))&
(![X]:((~generous(X)<~>~wise(X))=>(strong(X)&~rich(X))))&
(![X]:(brave(X)<=>(creative(X)<~>~rich(X))))&
(![X]... | brave(lucy) | [
"p2",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4224006497038152546717164
% SZS output start Proof for 4224006497038152546717164
3. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (wise(X0) | ~creative(X0))) [input p2]
6. ! [X0] : (brave(X0) <=> (creative(X0) <~> ~rich(X0))) [input p5]
13. ! [X0] : (happy(X0) => (~brave(X0) & ~creative(X0))) [in... | 0 |
Everyone who is not kind is not quiet. If lucy is either brave or calm then alice is old or generous. Everyone who is either calm or not rich is either happy or calm and vice versa. Everyone who is not creative or brave is not patient and vice versa. Everyone who is both not humble and not funny is not funny. Everyone ... | Paul is strong. | contradiction | (![X]:(~kind(X)=>~quiet(X)))&
(((brave(lucy)<~>calm(lucy)))=>((old(alice)|generous(alice))))&
(![X]:((calm(X)<~>~rich(X))<=>(happy(X)<~>calm(X))))&
(![X]:((~creative(X)|brave(X))<=>~patient(X)))&
(![X]:((~humble(X)&~funny(X))=>~funny(X)))&
(![X]:(humble(X)<=>quiet(X)))&
(![X]:(~brave(X)<=>(~rich(X)<~>funny(X))))&
((?[X... | strong(paul) | [
"p3",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7368870791039391124434249
% SZS output start Proof for 7368870791039391124434249
4. ! [X0] : ((brave(X0) | ~creative(X0)) <=> ~patient(X0)) [input p3]
16. ! [X0] : ((funny(X0) | strong(X0)) <=> patient(X0)) [input p15]
17. brave(paul) [input p16]
25. strong(paul) [input hypothesis]
43. ! ... | 0 |
If paul is not generous then susan is not generous.
If someone is both not strong and wise then someone is not creative and vice versa.
Everyone who is both calm and quiet is brave or not brave.
Everyone who is either not strong or not rich is not strong or patient and vice versa.
Everyone who is either funny or not cu... | Lucy is old. | entailment | ((~generous(paul))=>(~generous(susan)))&
((?[X]:((~strong(X)&wise(X))))<=>(?[X]:(~creative(X))))&
(![X]:((calm(X)&quiet(X))=>(brave(X)|~brave(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~strong(X)|patient(X))))&
(![X]:((funny(X)<~>~curious(X))=>(generous(X)<~>happy(X))))&
(![X]:((~happy(X)<~>~funny(X))<=>(wise(X)&rich(X))... | old(lucy) | [
"p3",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 485560518260936408713103
% SZS output start Proof for 485560518260936408713103
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (patient(X0) | ~strong(X0))) [input p3]
12. ? [X0] : (funny(X0) | patient(X0)) <=> ~strong(fred) [input p11]
14. ? [X0] : ~old(X0) <=> brave(fred) [input p13]
16. ~r... | 0 |
Everyone who is either not strong or humble is either tall or kind.
Everyone who is both calm and not happy is not humble.
If someone is both funny and not curious then someone is not old or creative and vice versa.
Everyone who is both not creative and tall is calm and vice versa.
If susan is either wise or not happy ... | Fred is not kind. | entailment | (![X]:((~strong(X)<~>humble(X))=>(tall(X)<~>kind(X))))&
(![X]:((calm(X)&~happy(X))=>~humble(X)))&
((?[X]:((funny(X)&~curious(X))))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((~creative(X)&tall(X))<=>calm(X)))&
(((wise(susan)<~>~happy(susan)))<=>((funny(alice)|kind(alice))))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((quiet... | ~kind(fred) | [
"p5",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8581613641879606163324697
% SZS output start Proof for 8581613641879606163324697
6. ? [X0] : (~quiet(X0) <~> generous(X0)) <=> (strong(mary) | quiet(mary)) [input p5]
7. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~strong(X0) | brave(X0))) [input p6]
13. ! [X0] : ((~curious(X0) | strong(X0)) =>... | 0 |
Everyone who is not strong is generous and vice versa. If lucy is old or creative then someone is both not creative and quiet and vice versa. If alice is both old and brave then john is either tall or humble. If fred is not patient or not strong then lucy is not patient and vice versa. Everyone who is both not rich and... | Lucy is brave. | entailment | (![X]:(~strong(X)<=>generous(X)))&
(((old(lucy)|creative(lucy)))<=>(?[X]:((~creative(X)&quiet(X)))))&
(((old(alice)&brave(alice)))=>((tall(john)<~>humble(john))))&
(((~patient(fred)|~strong(fred)))<=>(~patient(lucy)))&
(![X]:((~rich(X)&~calm(X))<=>(creative(X)&patient(X))))&
((?[X]:((kind(X)|old(X))))=>(?[X]:((quiet(X)... | brave(lucy) | [
"p0",
"p3",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 419312342407141396848258
% SZS output start Proof for 419312342407141396848258
1. ! [X0] : (~strong(X0) <=> generous(X0)) [input p0]
4. (~strong(fred) | ~patient(fred)) <=> ~patient(lucy) [input p3]
9. ! [X0] : ((quiet(X0) <~> tall(X0)) <=> (kind(X0) & rich(X0))) [input p8]
11. ! [X0] : (... | 0 |
Everyone who is not brave is either not tall or strong and vice versa. If john is kind then paul is both not brave and not patient. Everyone who is wise is not quiet or rich and vice versa. Everyone who is either not funny or patient is both not kind and not tall and vice versa. If someone is old or not calm then someo... | Alice is not wise. | contradiction | (![X]:(~brave(X)<=>(~tall(X)<~>strong(X))))&
((kind(john))=>((~brave(paul)&~patient(paul))))&
(![X]:(wise(X)<=>(~quiet(X)|rich(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(~kind(X)&~tall(X))))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:(~creative(X))))&
(![X]:(~brave(X)<=>happy(X)))&
(![X]:((~kind(X)|~generous(X))<=>(old(X)|~wis... | ~wise(alice) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5252720704498661797407076
% SZS output start Proof for 5252720704498661797407076
3. ! [X0] : (wise(X0) <=> (rich(X0) | ~quiet(X0))) [input p2]
13. ! [X0] : ((tall(X0) & quiet(X0)) <=> ~tall(X0)) [input p12]
19. ~wise(alice) [input hypothesis]
32. ! [X0] : ((wise(X0) | (~rich(X0) & quiet(X... | 0 |
Everyone who is tall is not creative and vice versa.
Everyone who is both not happy and quiet is not rich or old and vice versa.
Everyone who is either happy or quiet is both not old and generous and vice versa.
Everyone who is generous is both creative and quiet and vice versa.
Everyone who is either humble or quiet i... | Mary is funny. | entailment | (![X]:(tall(X)<=>~creative(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~rich(X)|old(X))))&
(![X]:((happy(X)<~>quiet(X))<=>(~old(X)&generous(X))))&
(![X]:(generous(X)<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>quiet(X))=>funny(X)))&
(![X]:((old(X)&happy(X))<=>(humble(X)|~strong(X))))&
(![X]:(rich(X)=>(~humble(X)<~>~tall(X... | funny(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7738201582021996142980264
% SZS output start Proof for 7738201582021996142980264
1. ! [X0] : (tall(X0) <=> ~creative(X0)) [input p0]
2. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (old(X0) | ~rich(X0))) [input p1]
3. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (generous(X0) & ~old(X0))) [input p2]... | 0 |
Everyone who is brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both kind and strong and vice versa.
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then john is either not quiet or funny and vice versa.
Everyone who is not happy is... | Susan is wise. | entailment | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&strong(X))))&
(![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((~quiet(john)<~>funny(john))))&
(![X]:(~happy(X)=>wise(X)))&
(![X]:(~calm(X)=>(old(X)<~>humble(X))))&
(![X]:((rich(X)&patient(X))<=>(tall(X)<~>rich(... | wise(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 57369931601342190884636
% SZS output start Proof for 57369931601342190884636
5. ! [X0] : (~happy(X0) => wise(X0)) [input p4]
17. ~happy(susan) [input p16]
25. ~wise(susan) [input hypothesis]
30. ! [X0] : (wise(X0) | happy(X0)) [ennf transformation 5]
99. happy(X0) | wise(X0) [cnf transfor... | 0 |
Everyone who is either happy or curious is not rich and vice versa.
If someone is rich then someone is not brave or not humble and vice versa.
If someone is not tall or creative then someone is not quiet and vice versa.
Everyone who is humble is either not brave or old.
Everyone who is both not generous and not rich is... | Lucy is brave. | contradiction | (![X]:((happy(X)<~>curious(X))<=>~rich(X)))&
((?[X]:(rich(X)))<=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:((~tall(X)|creative(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(humble(X)=>(~brave(X)<~>old(X))))&
(![X]:((~generous(X)&~rich(X))=>kind(X)))&
(![X]:((~calm(X)&quiet(X))<=>~calm(X)))&
((?[X]:((~creative(X)|~quiet(X))))<=>((... | brave(lucy) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2607217983341316766988771
% SZS output start Proof for 2607217983341316766988771
3. ? [X0] : (creative(X0) | ~tall(X0)) <=> ? [X0] : ~quiet(X0) [input p2]
7. ? [X0] : (~quiet(X0) | ~creative(X0)) <=> (~brave(lucy) & ~old(lucy)) [input p6]
25. brave(lucy) [input hypothesis]
27. ? [X0] : (c... | 0 |
If john is both not patient and not strong then paul is either kind or not generous. Everyone who is both not patient and not strong is patient or not quiet. Everyone who is not generous is either generous or not brave. If paul is curious or not quiet then someone is kind or not generous and vice versa. If fred is quie... | Fred is generous. | contradiction | (((~patient(john)&~strong(john)))=>((kind(paul)<~>~generous(paul))))&
(![X]:((~patient(X)&~strong(X))=>(patient(X)|~quiet(X))))&
(![X]:(~generous(X)=>(generous(X)<~>~brave(X))))&
(((curious(paul)|~quiet(paul)))<=>(?[X]:((kind(X)|~generous(X)))))&
(((quiet(fred)|happy(fred)))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((q... | generous(fred) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 53115499419122415384448
% SZS output start Proof for 53115499419122415384448
2. ! [X0] : ((~strong(X0) & ~patient(X0)) => (~quiet(X0) | patient(X0))) [input p1]
4. (~quiet(paul) | curious(paul)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p3]
6. ! [X0] : ((quiet(X0) <~> creative(X0)) <... | 0 |
If susan is both rich and not quiet then paul is not calm and vice versa. Everyone who is not creative or not quiet is wise and vice versa. If someone is either not tall or not curious then lucy is both not brave and not humble. If susan is not rich or generous then fred is brave or not generous. If someone is both gen... | Susan is curious. | contradiction | (((rich(susan)&~quiet(susan)))<=>(~calm(paul)))&
(![X]:((~creative(X)|~quiet(X))<=>wise(X)))&
((?[X]:((~tall(X)<~>~curious(X))))=>((~brave(lucy)&~humble(lucy))))&
(((~rich(susan)|generous(susan)))=>((brave(fred)|~generous(fred))))&
((?[X]:((generous(X)&~creative(X))))<=>(?[X]:((happy(X)|~happy(X)))))&
((?[X]:(calm(X)))... | curious(susan) | [
"p3",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5688465014717550399726983
% SZS output start Proof for 5688465014717550399726983
4. (generous(susan) | ~rich(susan)) => (~generous(fred) | brave(fred)) [input p3]
8. ! [X0] : ((~generous(X0) <~> ~curious(X0)) => ~wise(X0)) [input p7]
11. ! [X0] : (generous(X0) <=> (~wise(X0) | ~brave(X0))... | 0 |
Everyone who is not patient or quiet is either brave or happy.
If susan is not generous then mary is patient and vice versa.
If someone is both not creative and curious then someone is either not humble or not wise.
If paul is either strong or not humble then alice is funny and vice versa.
If someone is both not humble... | John is not happy. | contradiction | (![X]:((~patient(X)|quiet(X))=>(brave(X)<~>happy(X))))&
((~generous(susan))<=>(patient(mary)))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
(((strong(paul)<~>~humble(paul)))<=>(funny(alice)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:(brave(X)))=>(?[X]:(... | ~happy(john) | [
"p0",
"p6",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8995287410710131903268384
% SZS output start Proof for 8995287410710131903268384
1. ! [X0] : ((quiet(X0) | ~patient(X0)) => (brave(X0) <~> happy(X0))) [input p0]
7. ! [X0] : (brave(X0) => (~kind(X0) & tall(X0))) [input p6]
13. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (funny(X0) | old(X0))... | 0 |
If someone is old or not rich then someone is not patient and vice versa. Everyone who is both not generous and tall is both not funny and humble and vice versa. Everyone who is either not old or patient is not generous and vice versa. Everyone who is both not brave and not patient is either not patient or not wise and... | John is not happy. | entailment | ((?[X]:((old(X)|~rich(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)&tall(X))<=>(~funny(X)&humble(X))))&
(![X]:((~old(X)<~>patient(X))<=>~generous(X)))&
(![X]:((~brave(X)&~patient(X))<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~happy(X))))&
(![X]:((~funny(X)<~>happy(X))<=>(generous(X)|ri... | ~happy(john) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2238641672923300155676811
% SZS output start Proof for 2238641672923300155676811
4. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (~patient(X0) <~> ~wise(X0))) [input p3]
6. ! [X0] : ((~funny(X0) <~> happy(X0)) <=> (rich(X0) | generous(X0))) [input p5]
9. ! [X0] : ((~tall(X0) <~> happy(X0)) <... | 0 |
If mary is not wise then paul is both not calm and not creative and vice versa. Everyone who is not creative or happy is both humble and not humble. Everyone who is not kind or quiet is not strong or rich and vice versa. If alice is either not humble or rich then someone is both wise and not tall and vice versa. Everyo... | Paul is not funny. | neutral | ((~wise(mary))<=>((~calm(paul)&~creative(paul))))&
(![X]:((~creative(X)|happy(X))=>(humble(X)&~humble(X))))&
(![X]:((~kind(X)|quiet(X))<=>(~strong(X)|rich(X))))&
(((~humble(alice)<~>rich(alice)))<=>(?[X]:((wise(X)&~tall(X)))))&
(![X]:((curious(X)&creative(X))<=>(calm(X)<~>~rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((t... | ~funny(paul) | [] | null | 0 |
If someone is either not tall or brave then paul is either wise or curious and vice versa. If someone is not brave then someone is calm or not calm and vice versa. Everyone who is not kind or strong is both wise and not tall. Everyone who is not generous or generous is either not rich or not kind. Everyone who is brave... | Paul is not strong. | entailment | ((?[X]:((~tall(X)<~>brave(X))))<=>((wise(paul)<~>curious(paul))))&
((?[X]:(~brave(X)))<=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:((~kind(X)|strong(X))=>(wise(X)&~tall(X))))&
(![X]:((~generous(X)|generous(X))=>(~rich(X)<~>~kind(X))))&
(![X]:(brave(X)=>(old(X)|kind(X))))&
(![X]:((~strong(X)|~happy(X))=>(creative(X)&~quiet(X)... | ~strong(paul) | [
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8202646836792699782585534
% SZS output start Proof for 8202646836792699782585534
14. ? [X0] : kind(X0) <=> (~strong(paul) & ~funny(paul)) [input p13]
16. ! [X0] : ((kind(X0) | strong(X0)) <=> (~generous(X0) | ~kind(X0))) [input p15]
22. kind(john) <~> ~strong(john) [input p21]
25. strong(... | 0 |
Everyone who is not curious is both not old and not quiet. Everyone who is both kind and not wise is both not humble and rich. If someone is not creative then someone is both not happy and humble and vice versa. Everyone who is not tall is either not old or not brave and vice versa. If someone is either calm or not kin... | Fred is kind. | contradiction | (![X]:(~curious(X)=>(~old(X)&~quiet(X))))&
(![X]:((kind(X)&~wise(X))=>(~humble(X)&rich(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)&humble(X)))))&
(![X]:(~tall(X)<=>(~old(X)<~>~brave(X))))&
((?[X]:((calm(X)<~>~kind(X))))<=>((~calm(mary)<~>~old(mary))))&
(![X]:((patient(X)|tall(X))<=>(funny(X)|calm(X))))&
(![X]:((~... | kind(fred) | [
"p1",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3735714334685242999149844
% SZS output start Proof for 3735714334685242999149844
2. ! [X0] : ((~wise(X0) & kind(X0)) => (rich(X0) & ~humble(X0))) [input p1]
10. ? [X0] : (~funny(X0) | wise(X0)) <=> ? [X0] : (creative(X0) & ~humble(X0)) [input p9]
11. ! [X0] : ((~humble(X0) | happy(X0)) =>... | 0 |
Everyone who is both rich and not patient is not rich or wise and vice versa.
Everyone who is both not happy and not kind is both kind and not rich.
Everyone who is either happy or not old is not rich and vice versa.
Everyone who is both curious and patient is either brave or not patient and vice versa.
If john is eith... | Alice is wise. | neutral | (![X]:((rich(X)&~patient(X))<=>(~rich(X)|wise(X))))&
(![X]:((~happy(X)&~kind(X))=>(kind(X)&~rich(X))))&
(![X]:((happy(X)<~>~old(X))<=>~rich(X)))&
(![X]:((curious(X)&patient(X))<=>(brave(X)<~>~patient(X))))&
(((~funny(john)<~>~happy(john)))<=>(?[X]:((~happy(X)<~>brave(X)))))&
(((~humble(mary)&~happy(mary)))=>(?[X]:((~qu... | wise(alice) | [] | null | 0 |
If john is either not patient or old then someone is either not creative or humble.
Everyone who is both not wise and not patient is either strong or old and vice versa.
Everyone who is calm or not creative is either not old or not curious.
Everyone who is both not wise and not old is both not humble and not kind.
Ever... | Susan is patient. | neutral | (((~patient(john)<~>old(john)))=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(strong(X)<~>old(X))))&
(![X]:((calm(X)|~creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brave(X)|~funny(X))=>~calm(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>(~fun... | patient(susan) | [] | null | 0 |
Everyone who is brave or not funny is not humble.
If susan is not generous or brave then alice is not rich or rich and vice versa.
Everyone who is both not calm and not rich is either not generous or not strong and vice versa.
Everyone who is strong or not calm is both not creative and calm and vice versa.
Everyone who... | Susan is not tall. | entailment | (![X]:((brave(X)|~funny(X))=>~humble(X)))&
(((~generous(susan)|brave(susan)))<=>((~rich(alice)|rich(alice))))&
(![X]:((~calm(X)&~rich(X))<=>(~generous(X)<~>~strong(X))))&
(![X]:((strong(X)|~calm(X))<=>(~creative(X)&calm(X))))&
(![X]:((~generous(X)&~wise(X))<=>~kind(X)))&
((?[X]:((rich(X)|tall(X))))<=>((~calm(john)&~cur... | ~tall(susan) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 276747726676003710516734
% SZS output start Proof for 276747726676003710516734
4. ! [X0] : ((~calm(X0) | strong(X0)) <=> (calm(X0) & ~creative(X0))) [input p3]
6. ? [X0] : (tall(X0) | rich(X0)) <=> (~curious(john) & ~calm(john)) [input p5]
24. tall(susan) [input hypothesis]
40. ! [X0] : (... | 0 |
Everyone who is brave is not patient or happy.
Everyone who is not strong is patient or kind and vice versa.
If someone is tall or not happy then someone is not tall and vice versa.
Everyone who is not quiet or not calm is both humble and not funny.
Everyone who is not quiet is not creative or happy and vice versa.
Eve... | Alice is not old. | neutral | (![X]:(brave(X)=>(~patient(X)|happy(X))))&
(![X]:(~strong(X)<=>(patient(X)|kind(X))))&
((?[X]:((tall(X)|~happy(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~quiet(X)|~calm(X))=>(humble(X)&~funny(X))))&
(![X]:(~quiet(X)<=>(~creative(X)|happy(X))))&
(![X]:((generous(X)<~>funny(X))<=>patient(X)))&
(![X]:((~patient(X)|happy(X))<=>t... | ~old(alice) | [] | null | 0 |
Everyone who is calm or not old is either not strong or not generous and vice versa.
If someone is wise then lucy is tall.
If alice is both patient and happy then fred is not generous.
If john is both not kind and happy then someone is brave or calm and vice versa.
If lucy is not generous or humble then someone is not ... | Susan is generous. | entailment | (![X]:((calm(X)|~old(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:(wise(X)))=>(tall(lucy)))&
(((patient(alice)&happy(alice)))=>(~generous(fred)))&
(((~kind(john)&happy(john)))<=>(?[X]:((brave(X)|calm(X)))))&
(((~generous(lucy)|humble(lucy)))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((generous(X)&~creative(X))=>~generou... | generous(susan) | [
"p0",
"p3",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8939465542350512637579504
% SZS output start Proof for 8939465542350512637579504
1. ! [X0] : ((~old(X0) | calm(X0)) <=> (~strong(X0) <~> ~generous(X0))) [input p0]
4. (happy(john) & ~kind(john)) <=> ? [X0] : (calm(X0) | brave(X0)) [input p3]
7. ! [X0] : ((kind(X0) | tall(X0)) <=> (~patien... | 0 |
If fred is not humble or tall then paul is curious.
Everyone who is not wise is quiet.
If paul is both brave and not generous then susan is not calm and vice versa.
Everyone who is both not tall and not creative is not old.
If someone is kind then someone is brave or not wise and vice versa.
If someone is either genero... | Alice is creative. | contradiction | (((~humble(fred)|tall(fred)))=>(curious(paul)))&
(![X]:(~wise(X)=>quiet(X)))&
(((brave(paul)&~generous(paul)))<=>(~calm(susan)))&
(![X]:((~tall(X)&~creative(X))=>~old(X)))&
((?[X]:(kind(X)))<=>(?[X]:((brave(X)|~wise(X)))))&
((?[X]:((generous(X)<~>~calm(X))))=>((~strong(alice)|~brave(alice))))&
(![X]:((rich(X)&~creative... | creative(alice) | [
"p6",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6505728849488134596450085
% SZS output start Proof for 6505728849488134596450085
7. ! [X0] : ((~creative(X0) & rich(X0)) <=> (humble(X0) | ~happy(X0))) [input p6]
16. ? [X0] : (brave(X0) & ~old(X0)) => humble(alice) [input p15]
18. ~rich(paul) & brave(paul) [input p17]
19. ~calm(paul) & ~... | 0 |
If someone is strong then someone is quiet and vice versa.
If someone is brave or curious then alice is either calm or not creative and vice versa.
If someone is both tall and not brave then someone is old or patient.
Everyone who is both wise and not quiet is both not generous and wise and vice versa.
Everyone who is ... | Alice is not generous. | contradiction | ((?[X]:(strong(X)))<=>(?[X]:(quiet(X))))&
((?[X]:((brave(X)|curious(X))))<=>((calm(alice)<~>~creative(alice))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:((old(X)|patient(X)))))&
(![X]:((wise(X)&~quiet(X))<=>(~generous(X)&wise(X))))&
(![X]:((funny(X)&~generous(X))<=>(happy(X)<~>tall(X))))&
(![X]:(happy(X)=>(kind(X)&funny(X... | ~generous(alice) | [
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9142666983398304066941830
% SZS output start Proof for 9142666983398304066941830
5. ! [X0] : ((~generous(X0) & funny(X0)) <=> (happy(X0) <~> tall(X0))) [input p4]
6. ! [X0] : (happy(X0) => (funny(X0) & kind(X0))) [input p5]
13. (~tall(alice) & funny(alice)) <=> (tall(alice) | ~happy(alice... | 0 |
If someone is not old then someone is not rich or not strong.
Everyone who is not patient or patient is either not curious or creative.
Everyone who is humble is not rich and vice versa.
If someone is either not generous or not calm then fred is both tall and not kind and vice versa.
Everyone who is both old and not hu... | Mary is not tall. | contradiction | ((?[X]:(~old(X)))=>(?[X]:((~rich(X)|~strong(X)))))&
(![X]:((~patient(X)|patient(X))=>(~curious(X)<~>creative(X))))&
(![X]:(humble(X)<=>~rich(X)))&
((?[X]:((~generous(X)<~>~calm(X))))<=>((tall(fred)&~kind(fred))))&
(![X]:((old(X)&~humble(X))<=>(brave(X)<~>~funny(X))))&
(![X]:((calm(X)<~>kind(X))=>tall(X)))&
(![X]:(~brav... | ~tall(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6996337242137153634782527
% SZS output start Proof for 6996337242137153634782527
9. ! [X0] : (happy(X0) <=> (~happy(X0) | tall(X0))) [input p8]
24. ~tall(mary) [input hypothesis]
50. ! [X0] : ((happy(X0) | (happy(X0) & ~tall(X0))) & ((~happy(X0) | tall(X0)) | ~happy(X0))) [nnf transformat... | 0 |
Everyone who is either not quiet or wise is not brave and vice versa.
If someone is patient or old then fred is humble and vice versa.
If someone is both not happy and creative then fred is both not old and not brave and vice versa.
If paul is kind or strong then someone is curious.
If someone is either not old or kind... | Fred is not humble. | contradiction | (![X]:((~quiet(X)<~>wise(X))<=>~brave(X)))&
((?[X]:((patient(X)|old(X))))<=>(humble(fred)))&
((?[X]:((~happy(X)&creative(X))))<=>((~old(fred)&~brave(fred))))&
(((kind(paul)|strong(paul)))=>(?[X]:(curious(X))))&
((?[X]:((~old(X)<~>kind(X))))=>((~curious(lucy)&patient(lucy))))&
(![X]:((~kind(X)&patient(X))=>(~funny(X)&st... | ~humble(fred) | [
"p1",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 136493432067141358979796
% SZS output start Proof for 136493432067141358979796
2. ? [X0] : (old(X0) | patient(X0)) <=> humble(fred) [input p1]
5. ? [X0] : (~old(X0) <~> kind(X0)) => (patient(lucy) & ~curious(lucy)) [input p4]
16. ! [X0] : ((patient(X0) <~> ~kind(X0)) <=> (brave(X0) | kind... | 0 |
Everyone who is both happy and not generous is both quiet and humble and vice versa.
If alice is either creative or brave then mary is both wise and funny.
If john is old then alice is both happy and calm.
If alice is either not wise or generous then susan is calm or wise.
If john is funny then someone is strong and vi... | Susan is funny. | neutral | (![X]:((happy(X)&~generous(X))<=>(quiet(X)&humble(X))))&
(((creative(alice)<~>brave(alice)))=>((wise(mary)&funny(mary))))&
((old(john))=>((happy(alice)&calm(alice))))&
(((~wise(alice)<~>generous(alice)))=>((calm(susan)|wise(susan))))&
((funny(john))<=>(?[X]:(strong(X))))&
(![X]:((old(X)|funny(X))=>(~wise(X)&~strong(X))... | funny(susan) | [] | null | 0 |
Everyone who is both humble and creative is either not humble or humble and vice versa. Everyone who is humble or funny is not brave and vice versa. If paul is both rich and patient then someone is either not brave or not tall. If someone is not rich or curious then someone is both generous and tall. Everyone who is bo... | Paul is not strong. | neutral | (![X]:((humble(X)&creative(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((humble(X)|funny(X))<=>~brave(X)))&
(((rich(paul)&patient(paul)))=>(?[X]:((~brave(X)<~>~tall(X)))))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((~brave(X)&funny(X))=>(tall(X)&~curious(X))))&
(((~happy(fred)<~>~patient(fred... | ~strong(paul) | [] | null | 0 |
Everyone who is both old and curious is calm or not calm and vice versa.
Everyone who is happy or tall is both not tall and rich.
If fred is both not old and not quiet then alice is either wise or kind.
Everyone who is both not patient and not humble is not creative.
Everyone who is both not humble and brave is either ... | Lucy is tall. | contradiction | (![X]:((old(X)&curious(X))<=>(calm(X)|~calm(X))))&
(![X]:((happy(X)|tall(X))=>(~tall(X)&rich(X))))&
(((~old(fred)&~quiet(fred)))=>((wise(alice)<~>kind(alice))))&
(![X]:((~patient(X)&~humble(X))=>~creative(X)))&
(![X]:((~humble(X)&brave(X))<=>(old(X)<~>brave(X))))&
(![X]:(patient(X)=>brave(X)))&
(((~wise(fred)<~>~strong... | tall(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1637708319267177680952933
% SZS output start Proof for 1637708319267177680952933
2. ! [X0] : ((tall(X0) | happy(X0)) => (rich(X0) & ~tall(X0))) [input p1]
23. tall(lucy) [input hypothesis]
30. ! [X0] : ((tall(X0) | happy(X0)) => ~tall(X0)) [pure predicate removal 2]
31. ! [X0] : (~tall(X0... | 0 |
Everyone who is either quiet or strong is both not rich and funny and vice versa.
If paul is not old then someone is brave.
Everyone who is either not happy or not creative is both generous and not rich and vice versa.
If john is either not strong or calm then john is both creative and not humble and vice versa.
Everyo... | Lucy is brave. | neutral | (![X]:((quiet(X)<~>strong(X))<=>(~rich(X)&funny(X))))&
((~old(paul))=>(?[X]:(brave(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>(generous(X)&~rich(X))))&
(((~strong(john)<~>calm(john)))<=>((creative(john)&~humble(john))))&
(![X]:((quiet(X)<~>kind(X))<=>tall(X)))&
(![X]:((quiet(X)<~>~calm(X))<=>(old(X)<~>~generous(X))))&
... | brave(lucy) | [] | null | 0 |
Everyone who is not kind or generous is either not quiet or happy and vice versa.
If someone is either not patient or old then someone is either not creative or wise.
Everyone who is not tall is creative and vice versa.
Everyone who is calm is not strong or not curious.
Everyone who is not quiet is either brave or pati... | Mary is humble. | neutral | (![X]:((~kind(X)|generous(X))<=>(~quiet(X)<~>happy(X))))&
((?[X]:((~patient(X)<~>old(X))))=>(?[X]:((~creative(X)<~>wise(X)))))&
(![X]:(~tall(X)<=>creative(X)))&
(![X]:(calm(X)=>(~strong(X)|~curious(X))))&
(![X]:(~quiet(X)=>(brave(X)<~>patient(X))))&
(((rich(fred)|patient(fred)))<=>(?[X]:((kind(X)&~brave(X)))))&
(![X]:(... | humble(mary) | [] | null | 0 |
Everyone who is either generous or strong is both tall and not patient.
If someone is not patient then mary is not humble.
If someone is both not patient and not brave then someone is either not funny or curious.
If fred is humble then fred is both wise and not funny and vice versa.
Everyone who is not funny is both ta... | Alice is not humble. | neutral | (![X]:((generous(X)<~>strong(X))=>(tall(X)&~patient(X))))&
((?[X]:(~patient(X)))=>(~humble(mary)))&
((?[X]:((~patient(X)&~brave(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
((humble(fred))<=>((wise(fred)&~funny(fred))))&
(![X]:(~funny(X)<=>(tall(X)&old(X))))&
(![X]:((~tall(X)&~kind(X))=>(~wise(X)|~funny(X))))&
(![X]:((qu... | ~humble(alice) | [] | null | 0 |
If lucy is either not kind or not patient then lucy is old.
If someone is both not funny and kind then fred is either kind or not rich and vice versa.
If someone is both wise and not rich then fred is both not kind and not creative and vice versa.
If someone is strong or funny then paul is rich.
Everyone who is quiet i... | Alice is generous. | contradiction | (((~kind(lucy)<~>~patient(lucy)))=>(old(lucy)))&
((?[X]:((~funny(X)&kind(X))))<=>((kind(fred)<~>~rich(fred))))&
((?[X]:((wise(X)&~rich(X))))<=>((~kind(fred)&~creative(fred))))&
((?[X]:((strong(X)|funny(X))))=>(rich(paul)))&
(![X]:(quiet(X)=>(~generous(X)&tall(X))))&
((?[X]:((~old(X)<~>happy(X))))<=>(?[X]:((calm(X)|pati... | generous(alice) | [
"p4",
"p9",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3170863597189912287969647
% SZS output start Proof for 3170863597189912287969647
5. ! [X0] : (quiet(X0) => (tall(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (~tall(X0) & ~patient(X0))) [input p9]
14. ! [X0] : (~quiet(X0) => (~strong(X0) <~> ~creative(X0)... | 0 |
If someone is curious then someone is not tall or patient.
Everyone who is both old and tall is both wise and kind and vice versa.
Everyone who is both not humble and brave is creative or not humble.
If someone is not humble or not old then someone is not rich or not kind and vice versa.
Everyone who is old or not tall... | Fred is tall. | entailment | ((?[X]:(curious(X)))=>(?[X]:((~tall(X)|patient(X)))))&
(![X]:((old(X)&tall(X))<=>(wise(X)&kind(X))))&
(![X]:((~humble(X)&brave(X))=>(creative(X)|~humble(X))))&
((?[X]:((~humble(X)|~old(X))))<=>(?[X]:((~rich(X)|~kind(X)))))&
(![X]:((old(X)|~tall(X))<=>(~old(X)&~rich(X))))&
(![X]:(~old(X)<=>humble(X)))&
(((~brave(lucy)<~... | tall(fred) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 531728564978521776667800
% SZS output start Proof for 531728564978521776667800
5. ! [X0] : ((~tall(X0) | old(X0)) <=> (~rich(X0) & ~old(X0))) [input p4]
12. ! [X0] : ((curious(X0) | ~rich(X0)) => (~creative(X0) & old(X0))) [input p11]
23. ~tall(fred) [input hypothesis]
35. ! [X0] : ((~cre... | 0 |
If someone is either kind or not strong then someone is happy or not quiet.
If susan is both not generous and strong then mary is not tall and vice versa.
Everyone who is not happy or patient is both curious and not creative.
If john is not strong then lucy is not old or not generous.
Everyone who is happy is either no... | Lucy is patient. | contradiction | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((happy(X)|~quiet(X)))))&
(((~generous(susan)&strong(susan)))<=>(~tall(mary)))&
(![X]:((~happy(X)|patient(X))=>(curious(X)&~creative(X))))&
((~strong(john))=>((~old(lucy)|~generous(lucy))))&
(![X]:(happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((curious(X)|~old(X))=>curious(X)))&
... | patient(lucy) | [
"p2",
"p8",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5782032396146651381710275
% SZS output start Proof for 5782032396146651381710275
3. ! [X0] : ((patient(X0) | ~happy(X0)) => (~creative(X0) & curious(X0))) [input p2]
9. ! [X0] : ((kind(X0) | ~tall(X0)) <=> curious(X0)) [input p8]
11. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [inpu... | 0 |
If someone is either humble or brave then mary is not rich or not tall. Everyone who is not patient or not quiet is either not strong or not humble and vice versa. If fred is either not patient or not strong then susan is either strong or not quiet and vice versa. Everyone who is creative is both calm and strong and vi... | Mary is old. | neutral | ((?[X]:((humble(X)<~>brave(X))))=>((~rich(mary)|~tall(mary))))&
(![X]:((~patient(X)|~quiet(X))<=>(~strong(X)<~>~humble(X))))&
(((~patient(fred)<~>~strong(fred)))<=>((strong(susan)<~>~quiet(susan))))&
(![X]:(creative(X)<=>(calm(X)&strong(X))))&
(![X]:((~quiet(X)&~creative(X))<=>(rich(X)|~happy(X))))&
(![X]:((brave(X)&~s... | old(mary) | [] | null | 0 |
Everyone who is not calm or not tall is calm or not funny. Everyone who is funny or brave is not kind or curious and vice versa. If someone is not calm then someone is both not generous and old. If someone is brave or strong then paul is either not calm or not quiet and vice versa. Everyone who is either old or humble ... | Fred is not wise. | contradiction | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~generous(X)&old(X)))))&
((?[X]:((brave(X)|strong(X))))<=>((~calm(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)&~patient(X))))&
(![X]:(humble(X)=>(~calm(X)|wise(X))))&
(... | ~wise(fred) | [
"p5",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 187806500369128079145372
% SZS output start Proof for 187806500369128079145372
6. ! [X0] : (humble(X0) => (wise(X0) | ~calm(X0))) [input p5]
9. (~humble(fred) & ~funny(fred)) <=> ? [X0] : (~humble(X0) & ~curious(X0)) [input p8]
13. ! [X0] : (calm(X0) <=> (~calm(X0) | funny(X0))) [input p1... | 0 |
If fred is generous or not tall then fred is not strong or not curious and vice versa. Everyone who is not old or not wise is either brave or not quiet and vice versa. If someone is both generous and not happy then someone is both not rich and not humble. Everyone who is either not creative or not tall is either old or... | Lucy is quiet. | contradiction | (((generous(fred)|~tall(fred)))<=>((~strong(fred)|~curious(fred))))&
(![X]:((~old(X)|~wise(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:((~creative(X)<~>~tall(X))<=>(old(X)<~>generous(X))))&
(((~old(fred)&humble(fred)))<=>(?[X]:((~humble(X)|humble(X)))))&
(![... | quiet(lucy) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1116714684669370961122838
% SZS output start Proof for 1116714684669370961122838
8. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> ~strong(X0)) [input p7]
18. ~strong(lucy) [input p17]
25. quiet(lucy) [input hypothesis]
55. ! [X0] : (((~happy(X0) & ~quiet(X0)) | strong(X0)) & (~strong(X0) | (hap... | 0 |
Everyone who is curious is both not brave and not creative.
Everyone who is not curious or not brave is either tall or not happy.
Everyone who is not patient or not tall is curious.
Everyone who is both not wise and happy is not wise or funny and vice versa.
Everyone who is either not humble or not happy is strong or n... | Fred is not curious. | contradiction | (![X]:(curious(X)=>(~brave(X)&~creative(X))))&
(![X]:((~curious(X)|~brave(X))=>(tall(X)<~>~happy(X))))&
(![X]:((~patient(X)|~tall(X))=>curious(X)))&
(![X]:((~wise(X)&happy(X))<=>(~wise(X)|funny(X))))&
(![X]:((~humble(X)<~>~happy(X))=>(strong(X)|~patient(X))))&
((?[X]:((patient(X)|strong(X))))<=>((generous(susan)<~>~kin... | ~curious(fred) | [
"p1",
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 868187378427414097769405
% SZS output start Proof for 868187378427414097769405
2. ! [X0] : ((~brave(X0) | ~curious(X0)) => (tall(X0) <~> ~happy(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) => curious(X0)) [input p2]
23. ~old(fred) & ~happy(fred) [input p22]
25. ~curious(fred) ... | 0 |
Everyone who is either not strong or funny is humble. If fred is either funny or not old then someone is either not humble or creative and vice versa. If lucy is not rich or creative then fred is both not funny and generous. Everyone who is both old and not wise is not tall or not creative and vice versa. Everyone who ... | Mary is not patient. | entailment | (![X]:((~strong(X)<~>funny(X))=>humble(X)))&
(((funny(fred)<~>~old(fred)))<=>(?[X]:((~humble(X)<~>creative(X)))))&
(((~rich(lucy)|creative(lucy)))=>((~funny(fred)&generous(fred))))&
(![X]:((old(X)&~wise(X))<=>(~tall(X)|~creative(X))))&
(![X]:(creative(X)<=>old(X)))&
((curious(susan))=>((~rich(lucy)|rich(lucy))))&
(![X]... | ~patient(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1223261544268431157397254
% SZS output start Proof for 1223261544268431157397254
20. ~curious(mary) & ~patient(mary) [input p19]
22. patient(mary) [input hypothesis]
24. ~patient(mary) [pure predicate removal 20]
135. ~patient(mary) [cnf transformation 24]
138. patient(mary) [cnf transfor... | 0 |
Everyone who is either not strong or not kind is not rich. Everyone who is humble is brave. If mary is both not calm and not strong then mary is not wise or tall. Everyone who is curious is either old or not generous. If someone is either generous or creative then lucy is not old and vice versa. Everyone who is both no... | John is not creative. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~calm(mary)&~strong(mary)))=>((~wise(mary)|tall(mary))))&
(![X]:(curious(X)=>(old(X)<~>~generous(X))))&
((?[X]:((generous(X)<~>creative(X))))<=>(~old(lucy)))&
(![X]:((~old(X)&curious(X))=>(~tall(X)|~quiet(X))))&
(![X]:(~quiet(X)=>(~happy(X)&cu... | ~creative(john) | [
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6397917751418283342634782
% SZS output start Proof for 6397917751418283342634782
7. ! [X0] : (~quiet(X0) => (curious(X0) & ~happy(X0))) [input p6]
15. ! [X0] : ((kind(X0) | ~creative(X0)) => (happy(X0) & ~curious(X0))) [input p14]
21. brave(john) & ~quiet(john) [input p20]
25. ~creative(j... | 0 |
Everyone who is either not strong or not old is calm or brave. Everyone who is either kind or not generous is either not creative or not humble and vice versa. Everyone who is not quiet is both not calm and not quiet and vice versa. Everyone who is quiet is either not strong or not old and vice versa. Everyone who is n... | Lucy is curious. | entailment | (![X]:((~strong(X)<~>~old(X))=>(calm(X)|brave(X))))&
(![X]:((kind(X)<~>~generous(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(~quiet(X)<=>(~calm(X)&~quiet(X))))&
(![X]:(quiet(X)<=>(~strong(X)<~>~old(X))))&
(![X]:(~kind(X)<=>(~calm(X)|brave(X))))&
(![X]:((happy(X)|rich(X))=>(~brave(X)&calm(X))))&
(![X]:((happy(X)<~>quiet... | curious(lucy) | [
"p5",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8824378455702150168109123
% SZS output start Proof for 8824378455702150168109123
6. ! [X0] : ((rich(X0) | happy(X0)) => (calm(X0) & ~brave(X0))) [input p5]
11. ! [X0] : ((rich(X0) & happy(X0)) <=> (~curious(X0) | ~old(X0))) [input p10]
20. funny(lucy) & ~calm(lucy) [input p19]
25. ~curiou... | 0 |
Everyone who is not patient or not calm is either generous or tall and vice versa. Everyone who is either not wise or generous is either not old or funny. Everyone who is not wise is not brave or happy and vice versa. Everyone who is both wise and not kind is strong or not brave. Everyone who is either not creative or ... | Alice is not generous. | entailment | (![X]:((~patient(X)|~calm(X))<=>(generous(X)<~>tall(X))))&
(![X]:((~wise(X)<~>generous(X))=>(~old(X)<~>funny(X))))&
(![X]:(~wise(X)<=>(~brave(X)|happy(X))))&
(![X]:((wise(X)&~kind(X))=>(strong(X)|~brave(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(humble(X)|~patient(X))))&
(![X]:(~old(X)<=>(~brave(X)&old(X))))&
(![X]:((pa... | ~generous(alice) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4015064522011489775664311
% SZS output start Proof for 4015064522011489775664311
1. ! [X0] : ((~calm(X0) | ~patient(X0)) <=> (generous(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((~wise(X0) <~> generous(X0)) => (~old(X0) <~> funny(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (happy(X0) | ~b... | 0 |
If fred is either tall or humble then someone is either not calm or not strong.
If someone is both not humble and not strong then someone is either not humble or creative and vice versa.
If lucy is not quiet then mary is either not calm or not happy and vice versa.
Everyone who is not patient or strong is both creative... | Alice is not tall. | contradiction | (((tall(fred)<~>humble(fred)))=>(?[X]:((~calm(X)<~>~strong(X)))))&
((?[X]:((~humble(X)&~strong(X))))<=>(?[X]:((~humble(X)<~>creative(X)))))&
((~quiet(lucy))<=>((~calm(mary)<~>~happy(mary))))&
(![X]:((~patient(X)|strong(X))=>(creative(X)&rich(X))))&
(![X]:(strong(X)=>(~funny(X)&~rich(X))))&
(((humble(alice)|quiet(alice)... | ~tall(alice) | [
"p9",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6907938428632484283728442
% SZS output start Proof for 6907938428632484283728442
10. ! [X0] : ((generous(X0) | ~kind(X0)) => (~curious(X0) & wise(X0))) [input p9]
15. ? [X0] : (~brave(X0) | ~rich(X0)) => ? [X0] : (~kind(X0) & curious(X0)) [input p14]
23. rich(alice) <~> ~tall(alice) [inpu... | 0 |
If someone is not wise or not kind then someone is both quiet and calm.
If fred is not generous or quiet then someone is either not strong or calm and vice versa.
If someone is not generous then someone is both not curious and calm and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is ... | Alice is not calm. | contradiction | ((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((quiet(X)&calm(X)))))&
(((~generous(fred)|quiet(fred)))<=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~curious(X)&calm(X)))))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((~old(X)|~rich(X))=>(old(X)|~generous(X))))&
(![X]:((~calm(X)|curious(X))=>calm(X)))&
((?... | ~calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4890128487541684551813824
% SZS output start Proof for 4890128487541684551813824
6. ! [X0] : ((curious(X0) | ~calm(X0)) => calm(X0)) [input p5]
22. ~calm(alice) [input hypothesis]
31. ! [X0] : (calm(X0) | (~curious(X0) & calm(X0))) [ennf transformation 6]
93. calm(X0) | calm(X0) [cnf tran... | 0 |
If susan is either tall or not curious then susan is both not patient and not happy.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone wh... | Susan is kind. | contradiction | (((tall(susan)<~>~curious(susan)))=>((~patient(susan)&~happy(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))... | kind(susan) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4770868476991452998337063
% SZS output start Proof for 4770868476991452998337063
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
Everyone who is either patient or creative is humble or wise.
Everyone who is happy is not strong or brave and vice versa.
Everyone who is tall or not old is not strong and vice versa.
If someone is strong or curious then susan is both not old and not funny.
If paul is not calm or not old then someone is not happy or n... | Fred is funny. | entailment | (![X]:((patient(X)<~>creative(X))=>(humble(X)|wise(X))))&
(![X]:(happy(X)<=>(~strong(X)|brave(X))))&
(![X]:((tall(X)|~old(X))<=>~strong(X)))&
((?[X]:((strong(X)|curious(X))))=>((~old(susan)&~funny(susan))))&
(((~calm(paul)|~old(paul)))=>(?[X]:((~happy(X)|~generous(X)))))&
(![X]:((~happy(X)&tall(X))=>(wise(X)<~>~funny(X... | funny(fred) | [
"p3",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 507313198417335979615620
% SZS output start Proof for 507313198417335979615620
4. ? [X0] : (curious(X0) | strong(X0)) => (~funny(susan) & ~old(susan)) [input p3]
13. ! [X0] : ((old(X0) & ~patient(X0)) <=> (~funny(X0) | curious(X0))) [input p12]
15. ! [X0] : ((brave(X0) | ~strong(X0)) => (... | 0 |
If susan is either rich or not funny then paul is either not brave or kind and vice versa.
Everyone who is brave or wise is both creative and not kind and vice versa.
Everyone who is either not calm or not kind is both old and brave and vice versa.
Everyone who is both rich and old is either old or not patient and vice... | Mary is not patient. | contradiction | (((rich(susan)<~>~funny(susan)))<=>((~brave(paul)<~>kind(paul))))&
(![X]:((brave(X)|wise(X))<=>(creative(X)&~kind(X))))&
(![X]:((~calm(X)<~>~kind(X))<=>(old(X)&brave(X))))&
(![X]:((rich(X)&old(X))<=>(old(X)<~>~patient(X))))&
(((~creative(mary)|old(mary)))=>(?[X]:((quiet(X)&happy(X)))))&
(((~humble(lucy)<~>~curious(lucy... | ~patient(mary) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 392171462564857353546146
% SZS output start Proof for 392171462564857353546146
2. ! [X0] : ((wise(X0) | brave(X0)) <=> (~kind(X0) & creative(X0))) [input p1]
3. ! [X0] : ((~calm(X0) <~> ~kind(X0)) <=> (brave(X0) & old(X0))) [input p2]
4. ! [X0] : ((old(X0) & rich(X0)) <=> (old(X0) <~> ~pa... | 0 |
If someone is not kind then someone is either patient or not quiet and vice versa.
If lucy is not calm then someone is not creative or not happy and vice versa.
Everyone who is old or wise is kind or brave.
If someone is either not rich or funny then fred is either creative or humble.
Everyone who is quiet is either no... | Susan is quiet. | contradiction | ((?[X]:(~kind(X)))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((~calm(lucy))<=>(?[X]:((~creative(X)|~happy(X)))))&
(![X]:((old(X)|wise(X))=>(kind(X)|brave(X))))&
((?[X]:((~rich(X)<~>funny(X))))=>((creative(fred)<~>humble(fred))))&
(![X]:(quiet(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(~funny(X)<=>(patient(X)&~humble(X))))&
(![X]:... | quiet(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8190545269051473673990155
% SZS output start Proof for 8190545269051473673990155
5. ! [X0] : (quiet(X0) => (~rich(X0) <~> ~kind(X0))) [input p4]
10. ! [X0] : ((wise(X0) | quiet(X0)) => (~kind(X0) <~> rich(X0))) [input p9]
24. quiet(susan) [input hypothesis]
29. ! [X0] : ((~rich(X0) <~> ~k... | 0 |
If someone is either not calm or old then mary is patient or not generous and vice versa.
Everyone who is either not rich or not patient is either wise or not strong and vice versa.
Everyone who is either calm or old is both funny and not brave and vice versa.
Everyone who is curious is not curious.
If paul is not funn... | Mary is not patient. | contradiction | ((?[X]:((~calm(X)<~>old(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~rich(X)<~>~patient(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((calm(X)<~>old(X))<=>(funny(X)&~brave(X))))&
(![X]:(curious(X)=>~curious(X)))&
((~funny(paul))=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((~rich(X)<~>funny(X))<=>(wise(X)<~>rich(X))))&
... | ~patient(mary) | [
"p0",
"p9",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7568635980455986421672264
% SZS output start Proof for 7568635980455986421672264
1. ? [X0] : (~calm(X0) <~> old(X0)) <=> (~generous(mary) | patient(mary)) [input p0]
10. ! [X0] : (old(X0) <=> (~humble(X0) & quiet(X0))) [input p9]
14. ! [X0] : ((happy(X0) | ~happy(X0)) => (creative(X0) <~>... | 0 |
If fred is either not calm or old then susan is quiet.
If someone is not quiet then someone is both not curious and not tall and vice versa.
Everyone who is both generous and quiet is not curious.
If mary is both not wise and rich then someone is strong.
Everyone who is either not calm or wise is not old and vice versa... | John is not calm. | neutral | (((~calm(fred)<~>old(fred)))=>(quiet(susan)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((generous(X)&quiet(X))=>~curious(X)))&
(((~wise(mary)&rich(mary)))=>(?[X]:(strong(X))))&
(![X]:((~calm(X)<~>wise(X))<=>~old(X)))&
(![X]:((funny(X)&~wise(X))=>(~wise(X)<~>rich(X))))&
(((generous(paul)|~wise(paul... | ~calm(john) | [] | null | 0 |
Everyone who is both not happy and generous is either wise or calm.
Everyone who is both not generous and tall is not humble and vice versa.
Everyone who is not curious or not calm is both old and not patient and vice versa.
Everyone who is creative or not humble is creative or not funny and vice versa.
Everyone who is... | Alice is not wise. | neutral | (![X]:((~happy(X)&generous(X))=>(wise(X)<~>calm(X))))&
(![X]:((~generous(X)&tall(X))<=>~humble(X)))&
(![X]:((~curious(X)|~calm(X))<=>(old(X)&~patient(X))))&
(![X]:((creative(X)|~humble(X))<=>(creative(X)|~funny(X))))&
(![X]:((funny(X)|quiet(X))=>~creative(X)))&
((~old(susan))<=>(?[X]:((brave(X)|~brave(X)))))&
((?[X]:((... | ~wise(alice) | [] | null | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Lucy is not kind. | contradiction | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | ~kind(lucy) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5419519315640258095885426
% SZS output start Proof for 5419519315640258095885426
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p4]
6. ? [X0] : (happy(X0) | ~rich(X0)) <=> quiet(susan) [input p5]
8. ! [... | 0 |
If someone is not wise then fred is not wise or not humble.
Everyone who is wise or not happy is not rich or not funny.
If someone is both not old and funny then someone is not wise and vice versa.
If mary is either quiet or patient then someone is either humble or curious and vice versa.
Everyone who is either not cal... | Alice is brave. | contradiction | ((?[X]:(~wise(X)))=>((~wise(fred)|~humble(fred))))&
(![X]:((wise(X)|~happy(X))=>(~rich(X)|~funny(X))))&
((?[X]:((~old(X)&funny(X))))<=>(?[X]:(~wise(X))))&
(((quiet(mary)<~>patient(mary)))<=>(?[X]:((humble(X)<~>curious(X)))))&
(![X]:((~calm(X)<~>quiet(X))=>(kind(X)|~humble(X))))&
(![X]:(funny(X)=>brave(X)))&
((?[X]:((~g... | brave(alice) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3153470379396505260761851
% SZS output start Proof for 3153470379396505260761851
7. ? [X0] : (happy(X0) | ~generous(X0)) <=> ~brave(alice) [input p6]
19. ? [X0] : (humble(X0) & ~generous(X0)) [input p18]
25. brave(alice) [input hypothesis]
47. (? [X0] : (happy(X0) | ~generous(X0)) | brave... | 0 |
If someone is happy then someone is strong or kind and vice versa.
Everyone who is both not humble and not patient is rich or funny and vice versa.
If john is wise or not curious then john is both not old and not rich and vice versa.
Everyone who is either not wise or old is kind or not quiet.
If someone is either not ... | Paul is humble. | contradiction | ((?[X]:(happy(X)))<=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((~humble(X)&~patient(X))<=>(rich(X)|funny(X))))&
(((wise(john)|~curious(john)))<=>((~old(john)&~rich(john))))&
(![X]:((~wise(X)<~>old(X))=>(kind(X)|~quiet(X))))&
((?[X]:((~calm(X)<~>~creative(X))))<=>(?[X]:(~kind(X))))&
((calm(alice))<=>(?[X]:((~curious(X)&~hap... | humble(paul) | [
"p1",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4019465067449677658902163
% SZS output start Proof for 4019465067449677658902163
2. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (funny(X0) | rich(X0))) [input p1]
14. ! [X0] : ((funny(X0) & old(X0)) <=> calm(X0)) [input p13]
16. funny(paul) | calm(paul) [input p15]
24. humble(paul) [input ... | 0 |
Everyone who is quiet is not old and vice versa.
If john is both calm and not calm then lucy is not wise.
If someone is both not patient and kind then mary is either not calm or not wise.
Everyone who is not funny or not generous is both happy and brave.
Everyone who is kind or not wise is either not tall or not genero... | John is not wise. | contradiction | (![X]:(quiet(X)<=>~old(X)))&
(((calm(john)&~calm(john)))=>(~wise(lucy)))&
((?[X]:((~patient(X)&kind(X))))=>((~calm(mary)<~>~wise(mary))))&
(![X]:((~funny(X)|~generous(X))=>(happy(X)&brave(X))))&
(![X]:((kind(X)|~wise(X))=>(~tall(X)<~>~generous(X))))&
(![X]:(~humble(X)=>(strong(X)<~>creative(X))))&
(![X]:((kind(X)|~wise... | ~wise(john) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 425392345589866874961412
% SZS output start Proof for 425392345589866874961412
1. ! [X0] : (quiet(X0) <=> ~old(X0)) [input p0]
7. ! [X0] : ((~wise(X0) | kind(X0)) <=> (wise(X0) | quiet(X0))) [input p6]
12. ! [X0] : (old(X0) <=> (happy(X0) | quiet(X0))) [input p11]
19. ~wise(john) [input h... | 0 |
If alice is either not humble or not calm then alice is curious and vice versa. Everyone who is happy or not humble is either not rich or not wise. If someone is both tall and happy then someone is not generous and vice versa. Everyone who is either not brave or brave is either not funny or not calm and vice versa. Eve... | Alice is generous. | contradiction | (((~humble(alice)<~>~calm(alice)))<=>(curious(alice)))&
(![X]:((happy(X)|~humble(X))=>(~rich(X)<~>~wise(X))))&
((?[X]:((tall(X)&happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:(tall(X)=>(~tall(X)<~>rich(X))))&
(![X]:((~happy(X)<~>~funny(X))<=>(brave(X)&~happy(X))))&... | generous(alice) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8759468655482093454562381
% SZS output start Proof for 8759468655482093454562381
5. ! [X0] : (tall(X0) => (~tall(X0) <~> rich(X0))) [input p4]
6. ! [X0] : ((~happy(X0) <~> ~funny(X0)) <=> (~happy(X0) & brave(X0))) [input p5]
7. ! [X0] : ((generous(X0) <~> humble(X0)) => (~humble(X0) & ~ri... | 0 |
If someone is either not quiet or strong then someone is either calm or not humble and vice versa.
Everyone who is either not creative or not wise is both old and not brave.
Everyone who is either patient or not patient is not calm.
If alice is both not brave and rich then someone is not brave or old.
Everyone who is n... | Fred is calm. | contradiction | ((?[X]:((~quiet(X)<~>strong(X))))<=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:((~creative(X)<~>~wise(X))=>(old(X)&~brave(X))))&
(![X]:((patient(X)<~>~patient(X))=>~calm(X)))&
(((~brave(alice)&rich(alice)))=>(?[X]:((~brave(X)|old(X)))))&
(![X]:((~brave(X)|~generous(X))=>generous(X)))&
((patient(john))=>((~kind(susan)<~>~h... | calm(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9150915281967236353855538
% SZS output start Proof for 9150915281967236353855538
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) => ~calm(X0)) [input p2]
23. calm(fred) [input hypothesis]
29. ! [X0] : (~calm(X0) | (patient(X0) <=> ~patient(X0))) [ennf transformation 3]
48. ! [X0] : (~calm(X0)... | 0 |
Everyone who is not brave or not patient is both quiet and not generous.
Everyone who is both funny and tall is both patient and humble and vice versa.
If fred is both strong and calm then someone is not quiet.
If someone is tall or not humble then fred is generous and vice versa.
If john is wise or not funny then paul... | Alice is not brave. | contradiction | (![X]:((~brave(X)|~patient(X))=>(quiet(X)&~generous(X))))&
(![X]:((funny(X)&tall(X))<=>(patient(X)&humble(X))))&
(((strong(fred)&calm(fred)))=>(?[X]:(~quiet(X))))&
((?[X]:((tall(X)|~humble(X))))<=>(generous(fred)))&
(((wise(john)|~funny(john)))<=>(~curious(paul)))&
(![X]:(strong(X)<=>~creative(X)))&
((?[X]:(tall(X)))<=... | ~brave(alice) | [
"p0",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3242977382124681040227560
% SZS output start Proof for 3242977382124681040227560
1. ! [X0] : ((~patient(X0) | ~brave(X0)) => (~generous(X0) & quiet(X0))) [input p0]
8. ! [X0] : (~rich(X0) <=> brave(X0)) [input p7]
16. ! [X0] : (~rich(X0) <=> (~generous(X0) | ~rich(X0))) [input p15]
25. ~b... | 0 |
Everyone who is patient is happy or patient.
Everyone who is not funny or calm is wise and vice versa.
Everyone who is not rich or not generous is not brave and vice versa.
If paul is not humble then someone is either not humble or not rich.
If someone is not kind or rich then someone is either rich or kind and vice ve... | Susan is happy. | neutral | (![X]:(patient(X)=>(happy(X)|patient(X))))&
(![X]:((~funny(X)|calm(X))<=>wise(X)))&
(![X]:((~rich(X)|~generous(X))<=>~brave(X)))&
((~humble(paul))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
(![X]:((~brave(X)&strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((calm(X)&... | happy(susan) | [] | null | 0 |
If paul is not creative then someone is either not humble or patient.
Everyone who is either not rich or not humble is happy and vice versa.
If john is both not happy and quiet then someone is both brave and not tall and vice versa.
If fred is not kind or creative then john is curious or not tall.
Everyone who is tall ... | Alice is quiet. | neutral | ((~creative(paul))=>(?[X]:((~humble(X)<~>patient(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>happy(X)))&
(((~happy(john)&quiet(john)))<=>(?[X]:((brave(X)&~tall(X)))))&
(((~kind(fred)|creative(fred)))=>((curious(john)|~tall(john))))&
(![X]:((tall(X)|creative(X))<=>~rich(X)))&
(![X]:((tall(X)|~generous(X))<=>(creative(X)&~f... | quiet(alice) | [] | null | 0 |
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny is not funny or wise and vice versa.
Everyone who is not strong or patient is not funny or brave and vice versa.
If paul is not happy then someone is either not tall or not old and vice versa.
Everyone who is both no... | Fred is not kind. | contradiction | ((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>... | ~kind(fred) | [
"p1",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1683719180646727807996448
% SZS output start Proof for 1683719180646727807996448
2. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p1]
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p... | 0 |
If mary is curious then someone is either creative or not brave.
If someone is not patient or generous then someone is not old.
Everyone who is not happy is both not humble and curious.
If mary is quiet then fred is generous.
Everyone who is both not rich and happy is curious and vice versa.
Everyone who is strong is b... | Paul is tall. | contradiction | ((curious(mary))=>(?[X]:((creative(X)<~>~brave(X)))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:(~old(X))))&
(![X]:(~happy(X)=>(~humble(X)&curious(X))))&
((quiet(mary))=>(generous(fred)))&
(![X]:((~rich(X)&happy(X))<=>curious(X)))&
(![X]:(strong(X)<=>(funny(X)&strong(X))))&
(((~tall(fred)<~>~creative(fred)))=>((~rich... | tall(paul) | [
"p2",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6650355265000217612708866
% SZS output start Proof for 6650355265000217612708866
3. ! [X0] : (~happy(X0) => (curious(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~rich(X0)) <=> curious(X0)) [input p4]
8. ! [X0] : ((funny(X0) | ~brave(X0)) <=> ~tall(X0)) [input p7]
10. ! [X0] :... | 0 |
Everyone who is kind or not quiet is either rich or wise.
Everyone who is not creative is either not curious or not strong and vice versa.
If someone is not funny then someone is both not strong and tall.
Everyone who is both not brave and old is both not funny and not rich.
Everyone who is not tall or calm is both not... | John is old. | neutral | (![X]:((kind(X)|~quiet(X))=>(rich(X)<~>wise(X))))&
(![X]:(~creative(X)<=>(~curious(X)<~>~strong(X))))&
((?[X]:(~funny(X)))=>(?[X]:((~strong(X)&tall(X)))))&
(![X]:((~brave(X)&old(X))=>(~funny(X)&~rich(X))))&
(![X]:((~tall(X)|calm(X))<=>(~generous(X)&~creative(X))))&
(![X]:((~rich(X)&~kind(X))<=>kind(X)))&
(![X]:(wise(X)... | old(john) | [] | null | 0 |
Everyone who is either not wise or funny is both strong and curious and vice versa.
Everyone who is either humble or not happy is funny.
If someone is wise or not humble then john is both old and strong.
Everyone who is both creative and rich is not funny or kind.
If someone is not funny or kind then someone is brave o... | John is not old. | contradiction | (![X]:((~wise(X)<~>funny(X))<=>(strong(X)&curious(X))))&
(![X]:((humble(X)<~>~happy(X))=>funny(X)))&
((?[X]:((wise(X)|~humble(X))))=>((old(john)&strong(john))))&
(![X]:((creative(X)&rich(X))=>(~funny(X)|kind(X))))&
((?[X]:((~funny(X)|kind(X))))=>(?[X]:((brave(X)|kind(X)))))&
(![X]:((tall(X)|~kind(X))=>(old(X)<~>strong(... | ~old(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7780703228837078634426208
% SZS output start Proof for 7780703228837078634426208
12. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (~calm(X0) & old(X0))) [input p11]
25. ~old(john) [input hypothesis]
28. ! [X0] : ((happy(X0) <~> ~happy(X0)) => old(X0)) [pure predicate removal 12]
38. ! [X0] : (... | 0 |
Everyone who is tall is either kind or humble.
If paul is not wise or old then alice is both not creative and not patient and vice versa.
Everyone who is kind is both not old and not rich and vice versa.
Everyone who is either humble or not curious is either happy or not creative and vice versa.
If someone is either no... | Lucy is brave. | entailment | (![X]:(tall(X)=>(kind(X)<~>humble(X))))&
(((~wise(paul)|old(paul)))<=>((~creative(alice)&~patient(alice))))&
(![X]:(kind(X)<=>(~old(X)&~rich(X))))&
(![X]:((humble(X)<~>~curious(X))<=>(happy(X)<~>~creative(X))))&
((?[X]:((~creative(X)<~>tall(X))))=>(tall(john)))&
(![X]:(~rich(X)<=>~strong(X)))&
(![X]:((humble(X)|strong(... | brave(lucy) | [
"p2",
"p5",
"p6",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4905947433731042510549705
% SZS output start Proof for 4905947433731042510549705
3. ! [X0] : (kind(X0) <=> (~rich(X0) & ~old(X0))) [input p2]
6. ! [X0] : (~rich(X0) <=> ~strong(X0)) [input p5]
7. ! [X0] : ((strong(X0) | humble(X0)) <=> (rich(X0) <~> quiet(X0))) [input p6]
10. ! [X0] : ((b... | 0 |
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