premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is either not curious or not patient then john is both not happy and not calm.
If someone is both creative and quiet then someone is not generous and vice versa.
Everyone who is both not creative and not curious is not wise or kind and vice versa.
If mary is either not funny or not curious then someone is eithe... | Mary is not generous. | entailment | (((~curious(mary)<~>~patient(mary)))=>((~happy(john)&~calm(john))))&
((?[X]:((creative(X)&quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~creative(X)&~curious(X))<=>(~wise(X)|kind(X))))&
(((~funny(mary)<~>~curious(mary)))=>(?[X]:((~strong(X)<~>~humble(X)))))&
((?[X]:((~humble(X)|~funny(X))))<=>(?[X]:((~happy(X)&~rich(X)... | ~generous(mary) | [
"p1",
"p2",
"p8",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7278367615234466284965935
% SZS output start Proof for 7278367615234466284965935
2. ? [X0] : (quiet(X0) & creative(X0)) <=> ? [X0] : ~generous(X0) [input p1]
3. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> (kind(X0) | ~wise(X0))) [input p2]
9. ? [X0] : creative(X0) <=> (kind(mary) & ~calm... | 0 |
Everyone who is tall or not creative is both not quiet and not patient and vice versa. If john is not quiet then lucy is generous or not strong and vice versa. If fred is not patient or not kind then paul is tall and vice versa. Everyone who is not humble is either kind or not funny and vice versa. Everyone who is old ... | Lucy is curious. | entailment | (![X]:((tall(X)|~creative(X))<=>(~quiet(X)&~patient(X))))&
((~quiet(john))<=>((generous(lucy)|~strong(lucy))))&
(((~patient(fred)|~kind(fred)))<=>(tall(paul)))&
(![X]:(~humble(X)<=>(kind(X)<~>~funny(X))))&
(![X]:((old(X)|~humble(X))=>(happy(X)|kind(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:(rich(X)=>(tall(X)&~cu... | curious(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3583156243426883407308723
% SZS output start Proof for 3583156243426883407308723
9. ! [X0] : (humble(X0) <=> (curious(X0) <~> ~humble(X0))) [input p8]
25. ~curious(lucy) [input hypothesis]
46. ! [X0] : ((humble(X0) | ((curious(X0) | humble(X0)) & (~humble(X0) | ~curious(X0)))) & (((humble... | 0 |
Everyone who is not funny is both tall and not brave. Everyone who is both calm and curious is not humble or not funny. Everyone who is both kind and curious is not creative. If john is both patient and not curious then someone is both not curious and not rich and vice versa. If susan is not tall then someone is not ha... | Fred is wise. | neutral | (![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((calm(X)&curious(X))=>(~humble(X)|~funny(X))))&
(![X]:((kind(X)&curious(X))=>~creative(X)))&
(((patient(john)&~curious(john)))<=>(?[X]:((~curious(X)&~rich(X)))))&
((~tall(susan))=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((tall(X)<~>~kind(X))<=>(brave(X)|~curious(X))))&
((... | wise(fred) | [] | null | 0 |
If someone is both not happy and kind then someone is both tall and old and vice versa.
If alice is old or curious then alice is wise.
If mary is either rich or generous then someone is either not kind or happy.
Everyone who is either strong or patient is patient or not quiet.
Everyone who is either calm or old is not ... | Paul is rich. | contradiction | ((?[X]:((~happy(X)&kind(X))))<=>(?[X]:((tall(X)&old(X)))))&
(((old(alice)|curious(alice)))=>(wise(alice)))&
(((rich(mary)<~>generous(mary)))=>(?[X]:((~kind(X)<~>happy(X)))))&
(![X]:((strong(X)<~>patient(X))=>(patient(X)|~quiet(X))))&
(![X]:((calm(X)<~>old(X))<=>~quiet(X)))&
(![X]:((~tall(X)&wise(X))<=>kind(X)))&
(![X]:... | rich(paul) | [
"p5",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8238640354406974245362006
% SZS output start Proof for 8238640354406974245362006
6. ! [X0] : ((wise(X0) & ~tall(X0)) <=> kind(X0)) [input p5]
7. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (curious(X0) <~> kind(X0))) [input p6]
10. ! [X0] : ((~funny(X0) | generous(X0)) <=> strong(X0)) [inpu... | 0 |
Everyone who is both generous and strong is not funny or rich and vice versa. If someone is both funny and brave then alice is both rich and curious and vice versa. If lucy is both calm and not strong then someone is either calm or creative and vice versa. Everyone who is both not kind and not rich is either creative o... | Paul is not curious. | neutral | (![X]:((generous(X)&strong(X))<=>(~funny(X)|rich(X))))&
((?[X]:((funny(X)&brave(X))))<=>((rich(alice)&curious(alice))))&
(((calm(lucy)&~strong(lucy)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((~kind(X)&~rich(X))<=>(creative(X)<~>kind(X))))&
(![X]:((~quiet(X)&~happy(X))<=>generous(X)))&
((?[X]:(~patient(X)))=>(brave(... | ~curious(paul) | [] | null | 0 |
Everyone who is not curious is either not generous or not kind and vice versa. If someone is not generous then someone is creative or not wise and vice versa. Everyone who is either not quiet or quiet is patient or calm and vice versa. If paul is either tall or old then john is either kind or not patient and vice versa... | Lucy is not old. | neutral | (![X]:(~curious(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((creative(X)|~wise(X)))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(patient(X)|calm(X))))&
(((tall(paul)<~>old(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~tall(X)|wise(X))=>generous(X)))&
(![X]:(~patient(X)<=>(wise(X)|~old(X))))&
((~curi... | ~old(lucy) | [] | null | 0 |
Everyone who is either not kind or kind is both not brave and calm and vice versa.
If paul is either strong or not humble then someone is both not strong and not brave.
Everyone who is both not old and generous is either not old or patient and vice versa.
Everyone who is not brave is either kind or curious.
If mary is ... | Fred is not happy. | contradiction | (![X]:((~kind(X)<~>kind(X))<=>(~brave(X)&calm(X))))&
(((strong(paul)<~>~humble(paul)))=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~old(X)&generous(X))<=>(~old(X)<~>patient(X))))&
(![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan))... | ~happy(fred) | [
"p0",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3497742639665422157859478
% SZS output start Proof for 3497742639665422157859478
1. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (calm(X0) & ~brave(X0))) [input p0]
12. ! [X0] : ((~patient(X0) | ~happy(X0)) => (generous(X0) & ~happy(X0))) [input p11]
15. ! [X0] : ((~generous(X0) | ~strong(X0)) ... | 0 |
If lucy is either not patient or not kind then alice is both tall and strong and vice versa.
Everyone who is either wise or not wise is curious or strong and vice versa.
Everyone who is not generous is either rich or not tall and vice versa.
Everyone who is both not happy and not tall is both creative and brave and vic... | Lucy is brave. | entailment | (((~patient(lucy)<~>~kind(lucy)))<=>((tall(alice)&strong(alice))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(X)&~tall(X))<=>(creative(X)&brave(X))))&
(![X]:((brave(X)&wise(X))<=>(quiet(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X))<=>~calm(X)))&... | brave(lucy) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7132570735876919665618047
% SZS output start Proof for 7132570735876919665618047
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~calm(X0)) [input p5]
9. ? [X0] : ~quiet(X0) => ? [X0] : (kind(X0) & calm(X0)) [input p8... | 0 |
If someone is not old then someone is both brave and calm.
If mary is old then someone is either rich or not kind.
Everyone who is funny is both not creative and not brave and vice versa.
If someone is both curious and not humble then lucy is both old and rich.
Everyone who is not tall is both brave and patient.
If som... | Lucy is not brave. | entailment | ((?[X]:(~old(X)))=>(?[X]:((brave(X)&calm(X)))))&
((old(mary))=>(?[X]:((rich(X)<~>~kind(X)))))&
(![X]:(funny(X)<=>(~creative(X)&~brave(X))))&
((?[X]:((curious(X)&~humble(X))))=>((old(lucy)&rich(lucy))))&
(![X]:(~tall(X)=>(brave(X)&patient(X))))&
((?[X]:((strong(X)<~>quiet(X))))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>~ta... | ~brave(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3978555445986658706952467
% SZS output start Proof for 3978555445986658706952467
20. ~brave(lucy) [input p19]
25. brave(lucy) [input hypothesis]
127. ~brave(lucy) [cnf transformation 20]
133. brave(lucy) [cnf transformation 25]
273. $false [subsumption resolution 133,127]
% SZS output end... | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is not humble or funny. Everyone who is generous is curious. If someone is happy or not brave then someone is either not quiet or curious. If someone is not humble or not wise then mary is both funny and not curious and vice ve... | Susan is not funny. | neutral | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(... | ~funny(susan) | [] | null | 0 |
If someone is not brave then someone is either funny or not rich. Everyone who is either kind or strong is either not funny or calm. If someone is calm or creative then someone is both brave and rich. Everyone who is either brave or patient is not rich and vice versa. Everyone who is not tall is not happy. Everyone who... | Mary is humble. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((kind(X)<~>strong(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((calm(X)|creative(X))))=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(![X]:(~tall(X)=>~happy(X)))&
(![X]:((calm(X)<~>tall(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~kind(X)=>(~ki... | humble(mary) | [] | null | 0 |
If paul is either creative or rich then lucy is quiet or calm.
Everyone who is both not wise and not calm is both not tall and not calm and vice versa.
Everyone who is both not patient and not rich is wise or not humble.
Everyone who is not old is not funny or tall.
Everyone who is either tall or curious is both quiet ... | Fred is not old. | contradiction | (((creative(paul)<~>rich(paul)))=>((quiet(lucy)|calm(lucy))))&
(![X]:((~wise(X)&~calm(X))<=>(~tall(X)&~calm(X))))&
(![X]:((~patient(X)&~rich(X))=>(wise(X)|~humble(X))))&
(![X]:(~old(X)=>(~funny(X)|tall(X))))&
(![X]:((tall(X)<~>curious(X))=>(quiet(X)&~happy(X))))&
((~curious(lucy))<=>(?[X]:((~kind(X)|creative(X)))))&
((... | ~old(fred) | [
"p3",
"p4",
"p8",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5393683950364044377794120
% SZS output start Proof for 5393683950364044377794120
4. ! [X0] : (~old(X0) => (tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> curious(X0)) => (~happy(X0) & quiet(X0))) [input p4]
9. ! [X0] : (brave(X0) <=> (happy(X0) | ~quiet(X0))) [input p8]
13.... | 0 |
If someone is either not kind or strong then mary is both brave and not calm and vice versa.
Everyone who is both not happy and not tall is rich or tall and vice versa.
If someone is strong or patient then someone is either not rich or creative and vice versa.
Everyone who is not humble is not funny.
Everyone who is bo... | Mary is humble. | entailment | ((?[X]:((~kind(X)<~>strong(X))))<=>((brave(mary)&~calm(mary))))&
(![X]:((~happy(X)&~tall(X))<=>(rich(X)|tall(X))))&
((?[X]:((strong(X)|patient(X))))<=>(?[X]:((~rich(X)<~>creative(X)))))&
(![X]:(~humble(X)=>~funny(X)))&
(![X]:((~curious(X)&~happy(X))=>generous(X)))&
(![X]:((rich(X)|generous(X))=>strong(X)))&
(![X]:(~kin... | humble(mary) | [
"p1",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8417403089206915599723766
% SZS output start Proof for 8417403089206915599723766
2. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (tall(X0) | rich(X0))) [input p1]
12. ! [X0] : ((~happy(X0) <~> ~humble(X0)) <=> (~brave(X0) & ~kind(X0))) [input p11]
14. ! [X0] : ((~humble(X0) | kind(X0)) => (tall... | 0 |
Everyone who is both brave and creative is both not happy and brave. If alice is either not happy or not rich then someone is both wise and not tall. If someone is either not brave or funny then someone is patient. If someone is either not wise or rich then paul is either not old or curious. Everyone who is both not st... | John is not creative. | contradiction | (![X]:((brave(X)&creative(X))=>(~happy(X)&brave(X))))&
(((~happy(alice)<~>~rich(alice)))=>(?[X]:((wise(X)&~tall(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~wise(X)<~>rich(X))))=>((~old(paul)<~>curious(paul))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|quiet(X))))&
((?[X]:((patient(X)|~funny(... | ~creative(john) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8281104389624310299818709
% SZS output start Proof for 8281104389624310299818709
11. ! [X0] : ((~happy(X0) | ~kind(X0)) => (old(X0) & creative(X0))) [input p10]
13. ! [X0] : ((quiet(X0) | happy(X0)) => (patient(X0) & ~patient(X0))) [input p12]
21. ~creative(john) [input hypothesis]
36. ! ... | 0 |
If someone is both curious and not happy then someone is tall or brave and vice versa.
If someone is both quiet and generous then paul is calm or not kind and vice versa.
If alice is not patient or not kind then lucy is not strong.
If mary is rich or old then someone is creative or not humble.
Everyone who is both calm... | Paul is strong. | contradiction | ((?[X]:((curious(X)&~happy(X))))<=>(?[X]:((tall(X)|brave(X)))))&
((?[X]:((quiet(X)&generous(X))))<=>((calm(paul)|~kind(paul))))&
(((~patient(alice)|~kind(alice)))=>(~strong(lucy)))&
(((rich(mary)|old(mary)))=>(?[X]:((creative(X)|~humble(X)))))&
(![X]:((calm(X)&kind(X))=>quiet(X)))&
((brave(fred))<=>(?[X]:((strong(X)&~c... | strong(paul) | [
"p0",
"p5",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 295309061669598248537116
% SZS output start Proof for 295309061669598248537116
1. ? [X0] : (~happy(X0) & curious(X0)) <=> ? [X0] : (brave(X0) | tall(X0)) [input p0]
6. brave(fred) <=> ? [X0] : (~creative(X0) & strong(X0)) [input p5]
9. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X0] : creative(X... | 0 |
If someone is either funny or not wise then someone is both wise and not humble.
Everyone who is both curious and humble is either strong or not calm.
If someone is not strong then someone is either calm or tall and vice versa.
Everyone who is both rich and not old is either not generous or patient and vice versa.
If m... | Susan is quiet. | entailment | ((?[X]:((funny(X)<~>~wise(X))))=>(?[X]:((wise(X)&~humble(X)))))&
(![X]:((curious(X)&humble(X))=>(strong(X)<~>~calm(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((calm(X)<~>tall(X)))))&
(![X]:((rich(X)&~old(X))<=>(~generous(X)<~>patient(X))))&
(((humble(mary)&~wise(mary)))<=>(?[X]:(quiet(X))))&
(![X]:((quiet(X)|calm(X))=>~brave(... | quiet(susan) | [
"p8",
"p10",
"p15",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6728549670919694123651827
% SZS output start Proof for 6728549670919694123651827
9. ! [X0] : ((rich(X0) | wise(X0)) <=> (~brave(X0) & quiet(X0))) [input p8]
11. ? [X0] : (~tall(X0) | ~strong(X0)) => (rich(susan) & ~brave(susan)) [input p10]
16. ! [X0] : ((tall(X0) | ~tall(X0)) => (~strong... | 0 |
If someone is both brave and patient then someone is both not rich and not funny. Everyone who is old or not kind is either kind or tall and vice versa. If fred is either not calm or generous then someone is not old and vice versa. If someone is both not creative and kind then someone is either tall or old and vice ver... | Fred is not calm. | contradiction | ((?[X]:((brave(X)&patient(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((old(X)|~kind(X))<=>(kind(X)<~>tall(X))))&
(((~calm(fred)<~>generous(fred)))<=>(?[X]:(~old(X))))&
((?[X]:((~creative(X)&kind(X))))<=>(?[X]:((tall(X)<~>old(X)))))&
(((~tall(lucy)|old(lucy)))=>((calm(lucy)&wise(lucy))))&
(![X]:((~kind(X)<~>humble(X))... | ~calm(fred) | [
"p1",
"p5",
"p6",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5371399805865067565316177
% SZS output start Proof for 5371399805865067565316177
2. ! [X0] : ((~kind(X0) | old(X0)) <=> (kind(X0) <~> tall(X0))) [input p1]
6. ! [X0] : ((~kind(X0) <~> humble(X0)) => (humble(X0) & calm(X0))) [input p5]
7. ! [X0] : ((~curious(X0) | ~humble(X0)) <=> (~strong... | 0 |
If someone is not brave or not curious then mary is strong or not tall. If mary is not old then someone is happy or not generous and vice versa. Everyone who is either not brave or creative is generous or old and vice versa. Everyone who is not creative is not patient or not funny and vice versa. Everyone who is not ki... | Alice is not wise. | contradiction | ((?[X]:((~brave(X)|~curious(X))))=>((strong(mary)|~tall(mary))))&
((~old(mary))<=>(?[X]:((happy(X)|~generous(X)))))&
(![X]:((~brave(X)<~>creative(X))<=>(generous(X)|old(X))))&
(![X]:(~creative(X)<=>(~patient(X)|~funny(X))))&
(![X]:((~kind(X)|wise(X))=>(~brave(X)<~>curious(X))))&
(![X]:(curious(X)<=>patient(X)))&
(![X]:... | ~wise(alice) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6741162871077041875449565
% SZS output start Proof for 6741162871077041875449565
10. ? [X0] : (~patient(X0) | ~curious(X0)) => (old(alice) & wise(alice)) [input p9]
21. ? [X0] : (~creative(X0) & ~patient(X0)) [input p20]
25. ~wise(alice) [input hypothesis]
31. (old(alice) & wise(alice)) |... | 0 |
If mary is both brave and old then someone is both not tall and funny and vice versa.
If lucy is both strong and not strong then alice is either not rich or humble and vice versa.
If alice is not generous then someone is not generous.
If susan is not kind or strong then someone is both not old and not creative and vice... | Lucy is not calm. | neutral | (((brave(mary)&old(mary)))<=>(?[X]:((~tall(X)&funny(X)))))&
(((strong(lucy)&~strong(lucy)))<=>((~rich(alice)<~>humble(alice))))&
((~generous(alice))=>(?[X]:(~generous(X))))&
(((~kind(susan)|strong(susan)))<=>(?[X]:((~old(X)&~creative(X)))))&
(![X]:(calm(X)=>(patient(X)|~happy(X))))&
(![X]:(patient(X)<=>(~wise(X)|~old(X... | ~calm(lucy) | [] | null | 0 |
Everyone who is either not brave or humble is not old and vice versa.
Everyone who is either old or not rich is not quiet and vice versa.
Everyone who is either wise or quiet is happy.
If lucy is either not happy or not quiet then fred is tall.
Everyone who is both patient and not funny is both not happy and quiet.
If ... | Lucy is wise. | contradiction | (![X]:((~brave(X)<~>humble(X))<=>~old(X)))&
(![X]:((old(X)<~>~rich(X))<=>~quiet(X)))&
(![X]:((wise(X)<~>quiet(X))=>happy(X)))&
(((~happy(lucy)<~>~quiet(lucy)))=>(tall(fred)))&
(![X]:((patient(X)&~funny(X))=>(~happy(X)&quiet(X))))&
(((creative(lucy)<~>tall(lucy)))<=>(?[X]:((~patient(X)|patient(X)))))&
(![X]:((humble(X)<... | wise(lucy) | [
"p1",
"p2",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6905606128862892383931217
% SZS output start Proof for 6905606128862892383931217
2. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> ~quiet(X0)) [input p1]
3. ! [X0] : ((wise(X0) <~> quiet(X0)) => happy(X0)) [input p2]
11. ! [X0] : (wise(X0) => (~rich(X0) & ~happy(X0))) [input p10]
14. ! [X0] : ((ol... | 0 |
Everyone who is either not kind or humble is not curious or humble. If alice is not kind or not generous then someone is humble or patient and vice versa. Everyone who is funny or strong is curious or old. Everyone who is either humble or not humble is not funny. Everyone who is either curious or generous is not happy ... | John is not calm. | neutral | (![X]:((~kind(X)<~>humble(X))=>(~curious(X)|humble(X))))&
(((~kind(alice)|~generous(alice)))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:((funny(X)|strong(X))=>(curious(X)|old(X))))&
(![X]:((humble(X)<~>~humble(X))=>~funny(X)))&
(![X]:((curious(X)<~>generous(X))<=>~happy(X)))&
((?[X]:((~tall(X)<~>~old(X))))=>((curious(fr... | ~calm(john) | [] | null | 0 |
Everyone who is both happy and quiet is either not curious or not funny and vice versa.
If alice is both patient and not tall then someone is either not old or funny.
If someone is either not patient or not curious then someone is kind or old and vice versa.
Everyone who is not calm is not quiet and vice versa.
Everyon... | John is funny. | contradiction | (![X]:((happy(X)&quiet(X))<=>(~curious(X)<~>~funny(X))))&
(((patient(alice)&~tall(alice)))=>(?[X]:((~old(X)<~>funny(X)))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(?[X]:((kind(X)|old(X)))))&
(![X]:(~calm(X)<=>~quiet(X)))&
(![X]:((curious(X)&~happy(X))=>(~strong(X)|funny(X))))&
(((~happy(mary)&patient(mary)))=>(?[X]:(~... | funny(john) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 540849827756168333915691
% SZS output start Proof for 540849827756168333915691
22. ~funny(john) & ~happy(john) [input p21]
25. funny(john) [input hypothesis]
132. ~funny(john) [cnf transformation 22]
136. funny(john) [cnf transformation 25]
300. $false [subsumption resolution 136,132]
% S... | 0 |
If someone is not tall then fred is either not calm or not old and vice versa.
Everyone who is both humble and not happy is wise or not creative and vice versa.
Everyone who is either calm or humble is not old.
If alice is either not kind or not patient then someone is both not quiet and brave.
If paul is both curious ... | Fred is not old. | entailment | ((?[X]:(~tall(X)))<=>((~calm(fred)<~>~old(fred))))&
(![X]:((humble(X)&~happy(X))<=>(wise(X)|~creative(X))))&
(![X]:((calm(X)<~>humble(X))=>~old(X)))&
(((~kind(alice)<~>~patient(alice)))=>(?[X]:((~quiet(X)&brave(X)))))&
(((curious(paul)&~rich(paul)))<=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:(creative(X)))<=>(creative(... | ~old(fred) | [
"p0",
"p1",
"p2",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4408490775166856432947869
% SZS output start Proof for 4408490775166856432947869
1. ? [X0] : ~tall(X0) <=> (~calm(fred) <~> ~old(fred)) [input p0]
2. ! [X0] : ((~happy(X0) & humble(X0)) <=> (~creative(X0) | wise(X0))) [input p1]
3. ! [X0] : ((calm(X0) <~> humble(X0)) => ~old(X0)) [input p... | 0 |
Everyone who is both strong and not brave is both curious and not old and vice versa. Everyone who is either not kind or old is either brave or humble and vice versa. Everyone who is wise or not wise is both curious and not funny and vice versa. Everyone who is both funny and wise is both humble and creative and vice v... | Fred is not brave. | entailment | (![X]:((strong(X)&~brave(X))<=>(curious(X)&~old(X))))&
(![X]:((~kind(X)<~>old(X))<=>(brave(X)<~>humble(X))))&
(![X]:((wise(X)|~wise(X))<=>(curious(X)&~funny(X))))&
(![X]:((funny(X)&wise(X))<=>(humble(X)&creative(X))))&
(((~brave(alice)<~>patient(alice)))<=>(?[X]:(calm(X))))&
(![X]:((wise(X)&~old(X))<=>(~old(X)<~>calm(X... | ~brave(fred) | [
"p2",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5145258584724785642618884
% SZS output start Proof for 5145258584724785642618884
3. ! [X0] : ((~wise(X0) | wise(X0)) <=> (~funny(X0) & curious(X0))) [input p2]
8. (~curious(fred) <~> kind(fred)) <=> (~rich(alice) & rich(alice)) [input p7]
10. ! [X0] : ((funny(X0) | ~kind(X0)) => ~brave(X0... | 0 |
Everyone who is brave is both not rich and not generous.
Everyone who is both tall and not tall is humble or quiet and vice versa.
Everyone who is strong is not generous or humble and vice versa.
Everyone who is happy is both not tall and patient.
If someone is not rich then mary is not tall or not brave.
Everyone who ... | Mary is not tall. | contradiction | (![X]:(brave(X)=>(~rich(X)&~generous(X))))&
(![X]:((tall(X)&~tall(X))<=>(humble(X)|quiet(X))))&
(![X]:(strong(X)<=>(~generous(X)|humble(X))))&
(![X]:(happy(X)=>(~tall(X)&patient(X))))&
((?[X]:(~rich(X)))=>((~tall(mary)|~brave(mary))))&
(![X]:(~curious(X)<=>(tall(X)|~calm(X))))&
((?[X]:((curious(X)|kind(X))))<=>(?[X]:((... | ~tall(mary) | [
"p0",
"p1",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6018016109371675484692220
% SZS output start Proof for 6018016109371675484692220
1. ! [X0] : (brave(X0) => (~generous(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~tall(X0) & tall(X0)) <=> (quiet(X0) | humble(X0))) [input p1]
7. ? [X0] : (kind(X0) | curious(X0)) <=> ? [X0] : (~tall(X0) & br... | 0 |
Everyone who is not strong is both not patient and not curious and vice versa.
Everyone who is either funny or happy is not wise.
If someone is happy then paul is either not generous or rich and vice versa.
If alice is not generous then someone is both not strong and not rich and vice versa.
If paul is both not creativ... | Susan is not humble. | neutral | (![X]:(~strong(X)<=>(~patient(X)&~curious(X))))&
(![X]:((funny(X)<~>happy(X))=>~wise(X)))&
((?[X]:(happy(X)))<=>((~generous(paul)<~>rich(paul))))&
((~generous(alice))<=>(?[X]:((~strong(X)&~rich(X)))))&
(((~creative(paul)&old(paul)))=>((funny(paul)<~>quiet(paul))))&
((?[X]:((~generous(X)<~>~wise(X))))=>(~wise(fred)))&
(... | ~humble(susan) | [] | null | 0 |
Everyone who is not old is both humble and not rich and vice versa. If alice is not tall or strong then susan is not tall or curious and vice versa. If someone is not humble then paul is both not old and not humble. Everyone who is patient is both not calm and strong and vice versa. If someone is not funny then someone... | Fred is not patient. | entailment | (![X]:(~old(X)<=>(humble(X)&~rich(X))))&
(((~tall(alice)|strong(alice)))<=>((~tall(susan)|curious(susan))))&
((?[X]:(~humble(X)))=>((~old(paul)&~humble(paul))))&
(![X]:(patient(X)<=>(~calm(X)&strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((quiet(X)&brave(X))<=>~wise(X)))&
(![X]:((tall(X)&g... | ~patient(fred) | [
"p3",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1973634776297637489213273
% SZS output start Proof for 1973634776297637489213273
4. ! [X0] : (patient(X0) <=> (strong(X0) & ~calm(X0))) [input p3]
12. ? [X0] : (quiet(X0) | strong(X0)) => (~happy(susan) & ~generous(susan)) [input p11]
23. generous(susan) [input p22]
25. patient(fred) [inp... | 0 |
Everyone who is not creative or not tall is old. If someone is either curious or not old then lucy is both creative and brave and vice versa. Everyone who is wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Everyone who is funny or old is wise or not rich. Everyone who is both... | Lucy is not brave. | contradiction | (![X]:((~creative(X)|~tall(X))=>old(X)))&
((?[X]:((curious(X)<~>~old(X))))<=>((creative(lucy)&brave(lucy))))&
(![X]:(wise(X)=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(X))<=>(~creative(X)&quiet(X))))&
(![X]:(calm(... | ~brave(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7065777764631437228827442
% SZS output start Proof for 7065777764631437228827442
1. ! [X0] : ((~tall(X0) | ~creative(X0)) => old(X0)) [input p0]
2. ? [X0] : (curious(X0) <~> ~old(X0)) <=> (brave(lucy) & creative(lucy)) [input p1]
3. ! [X0] : (wise(X0) => (curious(X0) | ~rich(X0))) [input ... | 0 |
Everyone who is both brave and not calm is either happy or not wise and vice versa.
Everyone who is strong is either not generous or not kind.
If someone is not funny then mary is either wise or not creative and vice versa.
Everyone who is funny is curious or not kind.
Everyone who is both not old and kind is quiet and... | Fred is not brave. | contradiction | (![X]:((brave(X)&~calm(X))<=>(happy(X)<~>~wise(X))))&
(![X]:(strong(X)=>(~generous(X)<~>~kind(X))))&
((?[X]:(~funny(X)))<=>((wise(mary)<~>~creative(mary))))&
(![X]:(funny(X)=>(curious(X)|~kind(X))))&
(![X]:((~old(X)&kind(X))<=>quiet(X)))&
(![X]:((humble(X)|~wise(X))<=>kind(X)))&
(((~calm(lucy)|~tall(lucy)))=>(?[X]:((fu... | ~brave(fred) | [
"p0",
"p4",
"p5",
"p9",
"p12",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1796410885476824519197920
% SZS output start Proof for 1796410885476824519197920
1. ! [X0] : ((~calm(X0) & brave(X0)) <=> (happy(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((kind(X0) & ~old(X0)) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~wise(X0) | humble(X0)) <=> kind(X0)) [input p5]
10. !... | 0 |
If fred is both not funny and not patient then alice is quiet or kind and vice versa. Everyone who is not tall or kind is either not rich or quiet. Everyone who is both not curious and creative is either not happy or humble and vice versa. Everyone who is either tall or patient is both humble and wise. If someone is bo... | Mary is creative. | entailment | (((~funny(fred)&~patient(fred)))<=>((quiet(alice)|kind(alice))))&
(![X]:((~tall(X)|kind(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~curious(X)&creative(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>((creative(alice)<~>~funny(alice))))&
(![X]:((~rich(X)<... | creative(mary) | [
"p2",
"p3",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 537715086459686031637911
% SZS output start Proof for 537715086459686031637911
3. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (~happy(X0) <~> humble(X0))) [input p2]
4. ! [X0] : ((tall(X0) <~> patient(X0)) => (wise(X0) & humble(X0))) [input p3]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> pa... | 0 |
If someone is either funny or not brave then someone is funny or not funny.
If someone is not happy then fred is not brave or not kind.
Everyone who is not generous or not strong is both not creative and happy and vice versa.
Everyone who is both not tall and strong is either not generous or curious and vice versa.
If ... | John is wise. | neutral | ((?[X]:((funny(X)<~>~brave(X))))=>(?[X]:((funny(X)|~funny(X)))))&
((?[X]:(~happy(X)))=>((~brave(fred)|~kind(fred))))&
(![X]:((~generous(X)|~strong(X))<=>(~creative(X)&happy(X))))&
(![X]:((~tall(X)&strong(X))<=>(~generous(X)<~>curious(X))))&
((?[X]:((wise(X)&~humble(X))))=>(?[X]:((happy(X)&~quiet(X)))))&
((~old(lucy))<=... | wise(john) | [] | null | 0 |
Everyone who is quiet is curious.
If lucy is wise or not patient then john is not generous.
If someone is not humble then someone is funny or not curious and vice versa.
Everyone who is not patient or not quiet is not patient and vice versa.
If john is rich or not generous then someone is either not strong or creative ... | Susan is kind. | entailment | (![X]:(quiet(X)=>curious(X)))&
(((wise(lucy)|~patient(lucy)))=>(~generous(john)))&
((?[X]:(~humble(X)))<=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>~patient(X)))&
(((rich(john)|~generous(john)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((humble(X)|old(X))=>(generous(X)<~>~old(X))))&
(![X]:... | kind(susan) | [
"p3",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6332616601138688404777663
% SZS output start Proof for 6332616601138688404777663
4. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : ((funny(X0) | ~wise(X0)) <=> ~quiet(X0)) [input p8]
11. ! [X0] : ((~kind(X0) | ~funny(X0)) => ~wise(X0)) [input p10]
12. (old(... | 0 |
Everyone who is not funny or not old is both not quiet and not humble.
Everyone who is both not tall and not calm is not curious and vice versa.
If someone is both not happy and not wise then someone is creative or rich.
If alice is creative or wise then lucy is both wise and not strong and vice versa.
Everyone who is ... | Alice is not happy. | neutral | (![X]:((~funny(X)|~old(X))=>(~quiet(X)&~humble(X))))&
(![X]:((~tall(X)&~calm(X))<=>~curious(X)))&
((?[X]:((~happy(X)&~wise(X))))=>(?[X]:((creative(X)|rich(X)))))&
(((creative(alice)|wise(alice)))<=>((wise(lucy)&~strong(lucy))))&
(![X]:((~strong(X)|~tall(X))<=>(old(X)|funny(X))))&
((~calm(john))=>((~brave(susan)&funny(s... | ~happy(alice) | [] | null | 0 |
If mary is funny then fred is not humble and vice versa.
Everyone who is both not calm and not strong is not brave or generous and vice versa.
Everyone who is not curious is both brave and not tall and vice versa.
Everyone who is either not calm or not creative is not strong or calm and vice versa.
Everyone who is eith... | Susan is not patient. | entailment | ((funny(mary))<=>(~humble(fred)))&
(![X]:((~calm(X)&~strong(X))<=>(~brave(X)|generous(X))))&
(![X]:(~curious(X)<=>(brave(X)&~tall(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(~strong(X)|calm(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~tall(X)&~creative(X))))&
(((~curious(fred)<~>~funny(fred)))=>((~humble(fred)<~>humble(fred... | ~patient(susan) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8252677401604323950655098
% SZS output start Proof for 8252677401604323950655098
2. ! [X0] : ((~strong(X0) & ~calm(X0)) <=> (generous(X0) | ~brave(X0))) [input p1]
3. ! [X0] : (~curious(X0) <=> (~tall(X0) & brave(X0))) [input p2]
4. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (calm(X0) | ... | 0 |
If someone is both not calm and not brave then someone is quiet and vice versa.
If lucy is kind then susan is creative or not happy.
If john is not tall or not kind then paul is both calm and kind and vice versa.
Everyone who is brave or not curious is both not brave and not quiet and vice versa.
Everyone who is either... | Paul is patient. | contradiction | ((?[X]:((~calm(X)&~brave(X))))<=>(?[X]:(quiet(X))))&
((kind(lucy))=>((creative(susan)|~happy(susan))))&
(((~tall(john)|~kind(john)))<=>((calm(paul)&kind(paul))))&
(![X]:((brave(X)|~curious(X))<=>(~brave(X)&~quiet(X))))&
(![X]:((~creative(X)<~>rich(X))=>(~curious(X)&~brave(X))))&
(![X]:(~patient(X)<=>funny(X)))&
((?[X]:... | patient(paul) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 979985283840135834455158
% SZS output start Proof for 979985283840135834455158
7. ? [X0] : (~funny(X0) | patient(X0)) <=> (wise(paul) & rich(paul)) [input p6]
16. ! [X0] : (patient(X0) <=> (~wise(X0) & ~rich(X0))) [input p15]
25. patient(paul) [input hypothesis]
45. (? [X0] : (~funny(X0) ... | 0 |
If paul is not tall or tall then mary is not wise or strong. If susan is either strong or not generous then mary is wise. If someone is kind then fred is patient or creative. Everyone who is calm is both old and not calm and vice versa. Everyone who is both strong and not generous is strong or brave. Everyone who is ei... | Mary is not brave. | entailment | (((~tall(paul)|tall(paul)))=>((~wise(mary)|strong(mary))))&
(((strong(susan)<~>~generous(susan)))=>(wise(mary)))&
((?[X]:(kind(X)))=>((patient(fred)|creative(fred))))&
(![X]:(calm(X)<=>(old(X)&~calm(X))))&
(![X]:((strong(X)&~generous(X))=>(strong(X)|brave(X))))&
(![X]:((generous(X)<~>rich(X))=>(creative(X)&rich(X))))&
... | ~brave(mary) | [
"p3",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7792794337277554168528232
% SZS output start Proof for 7792794337277554168528232
4. ! [X0] : (calm(X0) <=> (~calm(X0) & old(X0))) [input p3]
6. ! [X0] : ((generous(X0) <~> rich(X0)) => (rich(X0) & creative(X0))) [input p5]
12. ! [X0] : ((~happy(X0) | ~generous(X0)) => (~brave(X0) & ~tall(... | 0 |
If someone is humble then lucy is generous and vice versa.
Everyone who is either not old or not funny is either not kind or not funny.
Everyone who is both not funny and not tall is both quiet and not curious.
Everyone who is either not humble or humble is old and vice versa.
Everyone who is not creative or not funny ... | Mary is old. | entailment | ((?[X]:(humble(X)))<=>(generous(lucy)))&
(![X]:((~old(X)<~>~funny(X))=>(~kind(X)<~>~funny(X))))&
(![X]:((~funny(X)&~tall(X))=>(quiet(X)&~curious(X))))&
(![X]:((~humble(X)<~>humble(X))<=>old(X)))&
(![X]:((~creative(X)|~funny(X))=>(~funny(X)<~>funny(X))))&
(![X]:(curious(X)=>(creative(X)|wise(X))))&
((?[X]:((~brave(X)<~>... | old(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8551114832232277454374460
% SZS output start Proof for 8551114832232277454374460
4. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> old(X0)) [input p3]
25. ~old(mary) [input hypothesis]
47. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | ~old(X0)) & (old(X0) | ((~humble(... | 0 |
If someone is either calm or not wise then lucy is wise or not happy and vice versa.
Everyone who is patient is either generous or not creative.
Everyone who is calm or not quiet is both brave and not humble.
If fred is either not calm or funny then lucy is not brave.
Everyone who is both not creative and not old is ei... | Lucy is not rich. | contradiction | ((?[X]:((calm(X)<~>~wise(X))))<=>((wise(lucy)|~happy(lucy))))&
(![X]:(patient(X)=>(generous(X)<~>~creative(X))))&
(![X]:((calm(X)|~quiet(X))=>(brave(X)&~humble(X))))&
(((~calm(fred)<~>funny(fred)))=>(~brave(lucy)))&
(![X]:((~creative(X)&~old(X))=>(~old(X)<~>quiet(X))))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((tall(X)... | ~rich(lucy) | [
"p2",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 57775331894558874023645
% SZS output start Proof for 57775331894558874023645
3. ! [X0] : ((~quiet(X0) | calm(X0)) => (~humble(X0) & brave(X0))) [input p2]
8. ! [X0] : (~generous(X0) <=> (~quiet(X0) | old(X0))) [input p7]
9. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (~brave(X0) <~> calm(... | 0 |
Everyone who is calm is either not creative or strong. Everyone who is quiet or creative is not calm or not curious and vice versa. If paul is either not generous or calm then someone is both kind and tall. Everyone who is either not creative or patient is wise or not patient. If fred is both not quiet and not funny th... | John is brave. | neutral | (![X]:(calm(X)=>(~creative(X)<~>strong(X))))&
(![X]:((quiet(X)|creative(X))<=>(~calm(X)|~curious(X))))&
(((~generous(paul)<~>calm(paul)))=>(?[X]:((kind(X)&tall(X)))))&
(![X]:((~creative(X)<~>patient(X))=>(wise(X)|~patient(X))))&
(((~quiet(fred)&~funny(fred)))=>(?[X]:((patient(X)&~calm(X)))))&
(((~funny(john)&calm(john)... | brave(john) | [] | null | 0 |
If someone is either strong or generous then paul is wise and vice versa.
Everyone who is tall or old is old and vice versa.
If mary is both not generous and not patient then paul is wise or generous.
Everyone who is funny is either tall or strong and vice versa.
Everyone who is not calm is not patient or happy.
If joh... | Paul is not humble. | neutral | ((?[X]:((strong(X)<~>generous(X))))<=>(wise(paul)))&
(![X]:((tall(X)|old(X))<=>old(X)))&
(((~generous(mary)&~patient(mary)))=>((wise(paul)|generous(paul))))&
(![X]:(funny(X)<=>(tall(X)<~>strong(X))))&
(![X]:(~calm(X)=>(~patient(X)|happy(X))))&
(((~calm(john)|quiet(john)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:(patient(X... | ~humble(paul) | [] | null | 0 |
Everyone who is old or wise is both not happy and calm and vice versa.
If lucy is both quiet and not tall then lucy is not rich.
Everyone who is both not old and patient is strong or curious and vice versa.
If someone is tall then mary is not creative and vice versa.
If someone is not quiet then someone is either not q... | Lucy is not old. | entailment | (![X]:((old(X)|wise(X))<=>(~happy(X)&calm(X))))&
(((quiet(lucy)&~tall(lucy)))=>(~rich(lucy)))&
(![X]:((~old(X)&patient(X))<=>(strong(X)|curious(X))))&
((?[X]:(tall(X)))<=>(~creative(mary)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>(patient(X)<~>~rich(X))))&
(![X]:((quiet(... | ~old(lucy) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1542789685676459696838
% SZS output start Proof for 1542789685676459696838
1. ! [X0] : ((wise(X0) | old(X0)) <=> (calm(X0) & ~happy(X0))) [input p0]
3. ! [X0] : ((patient(X0) & ~old(X0)) <=> (curious(X0) | strong(X0))) [input p2]
10. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> curious(X0)) [in... | 0 |
If someone is both generous and not quiet then someone is curious and vice versa.
Everyone who is patient or not happy is curious or brave and vice versa.
If someone is either not creative or quiet then susan is not brave or brave and vice versa.
Everyone who is not creative or not happy is either funny or not generous... | Paul is generous. | entailment | ((?[X]:((generous(X)&~quiet(X))))<=>(?[X]:(curious(X))))&
(![X]:((patient(X)|~happy(X))<=>(curious(X)|brave(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((~brave(susan)|brave(susan))))&
(![X]:((~creative(X)|~happy(X))=>(funny(X)<~>~generous(X))))&
(((~humble(alice)<~>~funny(alice)))=>((~happy(susan)<~>patient(susan))))... | generous(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8948040976097211284318477
% SZS output start Proof for 8948040976097211284318477
23. patient(paul) & generous(paul) [input p22]
25. ~generous(paul) [input hypothesis]
125. generous(paul) [cnf transformation 23]
127. ~generous(paul) [cnf transformation 25]
261. $false [subsumption resoluti... | 0 |
Everyone who is both kind and not creative is either generous or brave and vice versa. Everyone who is either not rich or wise is not calm and vice versa. If john is either curious or old then john is brave or not patient and vice versa. If someone is not happy or curious then fred is both old and not old. Everyone who... | Lucy is not funny. | contradiction | (![X]:((kind(X)&~creative(X))<=>(generous(X)<~>brave(X))))&
(![X]:((~rich(X)<~>wise(X))<=>~calm(X)))&
(((curious(john)<~>old(john)))<=>((brave(john)|~patient(john))))&
((?[X]:((~happy(X)|curious(X))))=>((old(fred)&~old(fred))))&
(![X]:((~old(X)&~generous(X))<=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~qu... | ~funny(lucy) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5730977863356505991430116
% SZS output start Proof for 5730977863356505991430116
4. ? [X0] : (curious(X0) | ~happy(X0)) => (~old(fred) & old(fred)) [input p3]
5. ! [X0] : ((~generous(X0) & ~old(X0)) <=> ~curious(X0)) [input p4]
7. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (~funny(X0) <~... | 0 |
If fred is either not kind or rich then fred is both not curious and not generous and vice versa.
If someone is either not strong or not old then someone is both not generous and not rich.
Everyone who is not quiet or not brave is tall and vice versa.
Everyone who is both not tall and curious is either not patient or h... | Paul is kind. | contradiction | (((~kind(fred)<~>rich(fred)))<=>((~curious(fred)&~generous(fred))))&
((?[X]:((~strong(X)<~>~old(X))))=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>tall(X)))&
(![X]:((~tall(X)&curious(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~rich(X)&~old(X))<=>old(X)))&
(![X]:((~patient(X)|~calm(X))<=>(~happy(X)<... | kind(paul) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8895812041201148629882705
% SZS output start Proof for 8895812041201148629882705
5. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p4]
11. ! [X0] : (~curious(X0) <=> (~strong(X0) | curious(X0))) [input p10]
13. ! [X0] : ((~humble(X0) | kind(X0)) <=> (~old(X0) <~> ~curious(X0))) [inp... | 0 |
Everyone who is quiet or not patient is either wise or happy and vice versa.
Everyone who is creative or calm is not kind and vice versa.
Everyone who is either not tall or not curious is not creative or humble and vice versa.
Everyone who is not creative or not brave is not creative.
Everyone who is either patient or ... | Fred is old. | entailment | (![X]:((quiet(X)|~patient(X))<=>(wise(X)<~>happy(X))))&
(![X]:((creative(X)|calm(X))<=>~kind(X)))&
(![X]:((~tall(X)<~>~curious(X))<=>(~creative(X)|humble(X))))&
(![X]:((~creative(X)|~brave(X))=>~creative(X)))&
(![X]:((patient(X)<~>~rich(X))=>(~calm(X)|creative(X))))&
(![X]:((~kind(X)&~rich(X))<=>(kind(X)<~>humble(X))))... | old(fred) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7976557248950525925123519
% SZS output start Proof for 7976557248950525925123519
2. ! [X0] : ((calm(X0) | creative(X0)) <=> ~kind(X0)) [input p1]
4. ! [X0] : ((~brave(X0) | ~creative(X0)) => ~creative(X0)) [input p3]
5. ! [X0] : ((patient(X0) <~> ~rich(X0)) => (creative(X0) | ~calm(X0))) ... | 0 |
If john is not old then someone is both brave and curious and vice versa.
If john is either curious or not humble then susan is both wise and not generous.
Everyone who is rich or not patient is not kind.
Everyone who is not creative or not happy is both not kind and quiet and vice versa.
Everyone who is funny or not o... | Susan is happy. | neutral | ((~old(john))<=>(?[X]:((brave(X)&curious(X)))))&
(((curious(john)<~>~humble(john)))=>((wise(susan)&~generous(susan))))&
(![X]:((rich(X)|~patient(X))=>~kind(X)))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)&quiet(X))))&
(![X]:((funny(X)|~old(X))<=>quiet(X)))&
(![X]:(patient(X)=>(patient(X)&~funny(X))))&
(![X]:((humble(X... | happy(susan) | [] | null | 0 |
Everyone who is either not generous or calm is either creative or not rich and vice versa. Everyone who is both old and not humble is not old and vice versa. If paul is either not rich or calm then someone is both patient and not calm and vice versa. Everyone who is both not humble and not quiet is both tall and humble... | Susan is not wise. | neutral | (![X]:((~generous(X)<~>calm(X))<=>(creative(X)<~>~rich(X))))&
(![X]:((old(X)&~humble(X))<=>~old(X)))&
(((~rich(paul)<~>calm(paul)))<=>(?[X]:((patient(X)&~calm(X)))))&
(![X]:((~humble(X)&~quiet(X))<=>(tall(X)&humble(X))))&
(![X]:((humble(X)|generous(X))<=>(~strong(X)|~rich(X))))&
((?[X]:((~quiet(X)|~generous(X))))=>((~c... | ~wise(susan) | [] | null | 0 |
If lucy is wise or happy then paul is both patient and humble.
Everyone who is both not creative and brave is quiet or wise.
Everyone who is either old or not kind is both patient and humble and vice versa.
Everyone who is not calm or strong is not quiet and vice versa.
If someone is old then alice is either wise or no... | Mary is curious. | contradiction | (((wise(lucy)|happy(lucy)))=>((patient(paul)&humble(paul))))&
(![X]:((~creative(X)&brave(X))=>(quiet(X)|wise(X))))&
(![X]:((old(X)<~>~kind(X))<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|strong(X))<=>~quiet(X)))&
((?[X]:(old(X)))<=>((wise(alice)<~>~calm(alice))))&
(![X]:(patient(X)<=>(brave(X)&~generous(X))))&
(![X]:(... | curious(mary) | [
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8932750671689101969875386
% SZS output start Proof for 8932750671689101969875386
6. ! [X0] : (patient(X0) <=> (~generous(X0) & brave(X0))) [input p5]
10. ! [X0] : ((patient(X0) | ~patient(X0)) => (patient(X0) & humble(X0))) [input p9]
12. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~happy(X... | 0 |
Everyone who is either not happy or not kind is either generous or not creative.
If alice is brave then fred is either not wise or quiet.
Everyone who is creative or not curious is either calm or humble.
If someone is not curious or not patient then fred is not generous.
Everyone who is strong is both wise and old.
Eve... | Lucy is not quiet. | contradiction | (![X]:((~happy(X)<~>~kind(X))=>(generous(X)<~>~creative(X))))&
((brave(alice))=>((~wise(fred)<~>quiet(fred))))&
(![X]:((creative(X)|~curious(X))=>(calm(X)<~>humble(X))))&
((?[X]:((~curious(X)|~patient(X))))=>(~generous(fred)))&
(![X]:(strong(X)=>(wise(X)&old(X))))&
(![X]:((kind(X)&old(X))=>(~old(X)<~>calm(X))))&
((~cal... | ~quiet(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5322439886024233437284943
% SZS output start Proof for 5322439886024233437284943
16. ! [X0] : ((~quiet(X0) | patient(X0)) => (quiet(X0) & ~tall(X0))) [input p15]
25. ~quiet(lucy) [input hypothesis]
29. ! [X0] : ((~quiet(X0) | patient(X0)) => quiet(X0)) [pure predicate removal 16]
44. ! [X... | 0 |
If fred is either patient or not rich then someone is tall or not funny.
Everyone who is not old is not curious.
If alice is either calm or quiet then susan is not funny or not strong.
Everyone who is both not rich and quiet is both not funny and old and vice versa.
Everyone who is quiet is either happy or not quiet an... | Alice is generous. | entailment | (((patient(fred)<~>~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy)... | generous(alice) | [
"p4",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5972447580634769928139526
% SZS output start Proof for 5972447580634769928139526
5. ! [X0] : (quiet(X0) <=> (happy(X0) <~> ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | brave(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p6]
8. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~brave(X... | 0 |
Everyone who is both calm and not happy is curious. If someone is both not happy and curious then someone is quiet or brave. Everyone who is not calm or generous is either wise or strong. Everyone who is either not kind or kind is either funny or curious. Everyone who is both patient and not old is not curious and vice... | Susan is patient. | neutral | (![X]:((calm(X)&~happy(X))=>curious(X)))&
((?[X]:((~happy(X)&curious(X))))=>(?[X]:((quiet(X)|brave(X)))))&
(![X]:((~calm(X)|generous(X))=>(wise(X)<~>strong(X))))&
(![X]:((~kind(X)<~>kind(X))=>(funny(X)<~>curious(X))))&
(![X]:((patient(X)&~old(X))<=>~curious(X)))&
(((~humble(susan)|~brave(susan)))<=>(brave(paul)))&
(![X... | patient(susan) | [] | null | 0 |
Everyone who is not creative or funny is not funny and vice versa.
Everyone who is calm or not old is patient or not rich.
Everyone who is either not rich or funny is quiet or old and vice versa.
If mary is not rich then someone is not wise or not kind and vice versa.
If someone is not strong or humble then john is wis... | Lucy is brave. | neutral | (![X]:((~creative(X)|funny(X))<=>~funny(X)))&
(![X]:((calm(X)|~old(X))=>(patient(X)|~rich(X))))&
(![X]:((~rich(X)<~>funny(X))<=>(quiet(X)|old(X))))&
((~rich(mary))<=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:((~strong(X)|humble(X))))=>(wise(john)))&
(((rich(alice)|generous(alice)))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![... | brave(lucy) | [] | null | 0 |
Everyone who is happy or not wise is not brave and vice versa. If mary is not wise or humble then someone is both creative and not rich. Everyone who is patient or wise is not brave. If someone is not kind then susan is not strong. Everyone who is both rich and not creative is old and vice versa. If someone is funny th... | John is not brave. | entailment | (![X]:((happy(X)|~wise(X))<=>~brave(X)))&
(((~wise(mary)|humble(mary)))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((patient(X)|wise(X))=>~brave(X)))&
((?[X]:(~kind(X)))=>(~strong(susan)))&
(![X]:((rich(X)&~creative(X))<=>old(X)))&
((?[X]:(funny(X)))<=>((humble(alice)&~generous(alice))))&
((?[X]:((~kind(X)<~>quiet(X))))=... | ~brave(john) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2561842334487606852305512
% SZS output start Proof for 2561842334487606852305512
1. ! [X0] : ((~wise(X0) | happy(X0)) <=> ~brave(X0)) [input p0]
3. ! [X0] : ((wise(X0) | patient(X0)) => ~brave(X0)) [input p2]
24. brave(john) [input hypothesis]
29. ! [X0] : (~brave(X0) | (~wise(X0) & ~pati... | 0 |
If someone is happy or not humble then alice is both not humble and funny. If someone is both not curious and rich then fred is both funny and not curious and vice versa. Everyone who is either not strong or rich is humble or not brave. Everyone who is kind or brave is both not quiet and patient. Everyone who is both n... | Susan is not patient. | entailment | ((?[X]:((happy(X)|~humble(X))))=>((~humble(alice)&funny(alice))))&
((?[X]:((~curious(X)&rich(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((~strong(X)<~>rich(X))=>(humble(X)|~brave(X))))&
(![X]:((kind(X)|brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((~tall(X)&~curious(X))=>strong(X)))&
(![X]:((~happy(X)|brave(X))<=>(~t... | ~patient(susan) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8951760412816164860589497
% SZS output start Proof for 8951760412816164860589497
1. ? [X0] : (~humble(X0) | happy(X0)) => (funny(alice) & ~humble(alice)) [input p0]
4. ! [X0] : ((brave(X0) | kind(X0)) => (patient(X0) & ~quiet(X0))) [input p3]
6. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (~hu... | 0 |
If susan is not old then lucy is not creative or kind and vice versa. Everyone who is either generous or happy is both quiet and not happy. If mary is kind then someone is tall and vice versa. Everyone who is not creative or tall is quiet and vice versa. If someone is calm then paul is both not tall and kind and vice v... | Fred is curious. | contradiction | ((~old(susan))<=>((~creative(lucy)|kind(lucy))))&
(![X]:((generous(X)<~>happy(X))=>(quiet(X)&~happy(X))))&
((kind(mary))<=>(?[X]:(tall(X))))&
(![X]:((~creative(X)|tall(X))<=>quiet(X)))&
((?[X]:(calm(X)))<=>((~tall(paul)&kind(paul))))&
(((curious(paul)<~>~kind(paul)))=>(rich(paul)))&
(![X]:(funny(X)=>tall(X)))&
(![X]:((... | curious(fred) | [
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6594979266853330520587508
% SZS output start Proof for 6594979266853330520587508
11. ? [X0] : (~creative(X0) | strong(X0)) <=> (rich(fred) & ~curious(fred)) [input p10]
16. ! [X0] : ((~strong(X0) | funny(X0)) <=> (patient(X0) <~> creative(X0))) [input p15]
24. patient(paul) [input p23]
25... | 0 |
If someone is not creative then fred is not funny and vice versa.
If john is either not happy or humble then john is both brave and generous and vice versa.
Everyone who is not wise is calm and vice versa.
If alice is quiet then paul is either funny or not wise and vice versa.
If someone is both not happy and not funny... | John is generous. | neutral | ((?[X]:(~creative(X)))<=>(~funny(fred)))&
(((~happy(john)<~>humble(john)))<=>((brave(john)&generous(john))))&
(![X]:(~wise(X)<=>calm(X)))&
((quiet(alice))<=>((funny(paul)<~>~wise(paul))))&
((?[X]:((~happy(X)&~funny(X))))<=>((~rich(fred)&~humble(fred))))&
((?[X]:(~quiet(X)))<=>(rich(john)))&
((?[X]:(~humble(X)))<=>((qui... | generous(john) | [] | null | 0 |
If someone is either brave or not curious then someone is strong or curious.
If lucy is both old and rich then susan is quiet and vice versa.
If someone is curious then someone is not calm and vice versa.
If john is quiet or curious then mary is not quiet.
If paul is humble or strong then susan is either not quiet or t... | Mary is not strong. | entailment | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((old(lucy)&rich(lucy)))<=>(quiet(susan)))&
((?[X]:(curious(X)))<=>(?[X]:(~calm(X))))&
(((quiet(john)|curious(john)))=>(~quiet(mary)))&
(((humble(paul)|strong(paul)))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:((wise(X)&~patient(X))<=>(~funny(X)|stro... | ~strong(mary) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8002591316877371414341332
% SZS output start Proof for 8002591316877371414341332
6. ! [X0] : ((~patient(X0) & wise(X0)) <=> (strong(X0) | ~funny(X0))) [input p5]
9. ! [X0] : (patient(X0) <=> strong(X0)) [input p8]
23. strong(mary) [input hypothesis]
46. ! [X0] : (((~patient(X0) & wise(X0)... | 0 |
Everyone who is both creative and not rich is rich.
If fred is not happy or curious then someone is both not happy and not kind.
If someone is either not quiet or not funny then someone is both not funny and old.
If john is quiet or curious then someone is either tall or not curious and vice versa.
If someone is both n... | John is humble. | neutral | (![X]:((creative(X)&~rich(X))=>rich(X)))&
(((~happy(fred)|curious(fred)))=>(?[X]:((~happy(X)&~kind(X)))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:((~funny(X)&old(X)))))&
(((quiet(john)|curious(john)))<=>(?[X]:((tall(X)<~>~curious(X)))))&
((?[X]:((~happy(X)&~quiet(X))))=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((~pati... | humble(john) | [] | null | 0 |
Everyone who is either generous or not humble is both rich and strong and vice versa. Everyone who is not funny or generous is both strong and not quiet and vice versa. If susan is not funny then someone is not quiet or old and vice versa. Everyone who is not brave is either not happy or patient and vice versa. If some... | Mary is not patient. | neutral | (![X]:((generous(X)<~>~humble(X))<=>(rich(X)&strong(X))))&
(![X]:((~funny(X)|generous(X))<=>(strong(X)&~quiet(X))))&
((~funny(susan))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:(~brave(X)<=>(~happy(X)<~>patient(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(~patient(fred)))&
(![X]:(~calm(X)<=>(curious(X)&~wise(X))))&
(((~wise... | ~patient(mary) | [] | null | 0 |
If mary is either happy or humble then someone is not generous.
If someone is not curious or not patient then paul is not old and vice versa.
If john is both creative and quiet then someone is not tall or not old and vice versa.
If john is not generous or patient then john is not curious or rich.
If someone is both str... | John is happy. | contradiction | (((happy(mary)<~>humble(mary)))=>(?[X]:(~generous(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>(~old(paul)))&
(((creative(john)&quiet(john)))<=>(?[X]:((~tall(X)|~old(X)))))&
(((~generous(john)|patient(john)))=>((~curious(john)|rich(john))))&
((?[X]:((strong(X)&curious(X))))=>((curious(lucy)&quiet(lucy))))&
(![X]:((~kin... | happy(john) | [
"p1",
"p2",
"p9",
"p13",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3894105648500133451709523
% SZS output start Proof for 3894105648500133451709523
2. ? [X0] : (~patient(X0) | ~curious(X0)) <=> ~old(paul) [input p1]
3. (quiet(john) & creative(john)) <=> ? [X0] : (~old(X0) | ~tall(X0)) [input p2]
10. ! [X0] : ((creative(X0) | funny(X0)) => (~brave(X0) | f... | 0 |
If someone is not rich or not funny then lucy is not tall or creative.
If lucy is not calm then fred is quiet and vice versa.
If someone is calm or not funny then john is not rich or creative and vice versa.
Everyone who is either not wise or not quiet is both not quiet and humble and vice versa.
Everyone who is happy ... | Susan is not brave. | contradiction | ((?[X]:((~rich(X)|~funny(X))))=>((~tall(lucy)|creative(lucy))))&
((~calm(lucy))<=>(quiet(fred)))&
((?[X]:((calm(X)|~funny(X))))<=>((~rich(john)|creative(john))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~quiet(X)&humble(X))))&
(![X]:((happy(X)|old(X))<=>(~quiet(X)|~old(X))))&
(((~funny(fred)|rich(fred)))=>((funny(fred)|old(fr... | ~brave(susan) | [
"p4",
"p7",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6172138716377258090114725
% SZS output start Proof for 6172138716377258090114725
5. ! [X0] : ((old(X0) | happy(X0)) <=> (~old(X0) | ~quiet(X0))) [input p4]
8. ! [X0] : ((curious(X0) <~> ~old(X0)) => (patient(X0) & ~strong(X0))) [input p7]
14. ? [X0] : (~brave(X0) & happy(X0)) <=> (strong(... | 0 |
If susan is funny or not tall then someone is not humble or quiet. Everyone who is not kind is patient. If lucy is not patient then someone is either not curious or tall. If alice is humble or old then someone is patient and vice versa. Everyone who is not humble is not quiet. Everyone who is both tall and kind is not ... | Paul is creative. | neutral | (((funny(susan)|~tall(susan)))=>(?[X]:((~humble(X)|quiet(X)))))&
(![X]:(~kind(X)=>patient(X)))&
((~patient(lucy))=>(?[X]:((~curious(X)<~>tall(X)))))&
(((humble(alice)|old(alice)))<=>(?[X]:(patient(X))))&
(![X]:(~humble(X)=>~quiet(X)))&
(![X]:((tall(X)&kind(X))=>(~calm(X)|~rich(X))))&
(![X]:((wise(X)<~>~tall(X))<=>~old(... | creative(paul) | [] | null | 0 |
If someone is both humble and not brave then someone is both generous and not happy and vice versa.
If mary is both calm and not strong then alice is both not old and not wise.
If someone is not quiet or strong then someone is patient or humble and vice versa.
Everyone who is creative is not funny.
Everyone who is calm... | Alice is not old. | neutral | ((?[X]:((humble(X)&~brave(X))))<=>(?[X]:((generous(X)&~happy(X)))))&
(((calm(mary)&~strong(mary)))=>((~old(alice)&~wise(alice))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((patient(X)|humble(X)))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:(calm(X)<=>(wise(X)&~kind(X))))&
(((generous(lucy)&~kind(lucy)))=>(?[X]:((strong(X... | ~old(alice) | [] | null | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is both rich and strong then susan is either not funny or old. If mary is either not strong or not tall then someone is either not calm or not strong and vice versa. Everyone who is strong is either not old or humble. Everyone who is not creativ... | Paul is generous. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((rich(susan)&strong(susan)))=>((~funny(susan)<~>old(susan))))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))... | generous(paul) | [
"p4",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4516268786057459704682658
% SZS output start Proof for 4516268786057459704682658
5. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p7]
9. (tall(paul) | ~generous(paul)) <=> (... | 0 |
Everyone who is either not brave or not strong is not quiet and vice versa.
If someone is either not funny or creative then fred is not curious and vice versa.
If someone is either not rich or not old then someone is either humble or not strong and vice versa.
Everyone who is not calm or not quiet is not quiet and vice... | Susan is wise. | entailment | (![X]:((~brave(X)<~>~strong(X))<=>~quiet(X)))&
((?[X]:((~funny(X)<~>creative(X))))<=>(~curious(fred)))&
((?[X]:((~rich(X)<~>~old(X))))<=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((~calm(X)|~quiet(X))<=>~quiet(X)))&
(![X]:((generous(X)&~funny(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((rich(X)|~tall(X))<=>(tall(X)<~>rich(X... | wise(susan) | [
"p5",
"p9",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5976983810780564004510679
% SZS output start Proof for 5976983810780564004510679
6. ! [X0] : ((~tall(X0) | rich(X0)) <=> (tall(X0) <~> rich(X0))) [input p5]
10. ! [X0] : (~rich(X0) <=> (~wise(X0) & old(X0))) [input p9]
11. ? [X0] : patient(X0) => (creative(fred) & kind(fred)) [input p10]
... | 0 |
Everyone who is creative is either not old or not quiet.
Everyone who is either not creative or not wise is both rich and not kind.
If paul is both rich and not wise then someone is rich.
If alice is funny then someone is either curious or not funny.
If alice is not tall then someone is not old and vice versa.
If lucy ... | Lucy is not patient. | contradiction | (![X]:(creative(X)=>(~old(X)<~>~quiet(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(rich(X)&~kind(X))))&
(((rich(paul)&~wise(paul)))=>(?[X]:(rich(X))))&
((funny(alice))=>(?[X]:((curious(X)<~>~funny(X)))))&
((~tall(alice))<=>(?[X]:(~old(X))))&
(((patient(lucy)&~rich(lucy)))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
((?[X]:(~ol... | ~patient(lucy) | [
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 402199616039470339755572
% SZS output start Proof for 402199616039470339755572
6. (~rich(lucy) & patient(lucy)) <=> ? [X0] : (~wise(X0) <~> ~generous(X0)) [input p5]
9. ? [X0] : (creative(X0) | kind(X0)) <=> (~happy(mary) & happy(mary)) [input p8]
10. ! [X0] : ((~patient(X0) | old(X0)) =>... | 0 |
If someone is either tall or not wise then someone is not strong or not wise.
Everyone who is not tall is either strong or tall and vice versa.
Everyone who is both patient and not tall is calm or wise and vice versa.
If someone is happy then lucy is both rich and brave and vice versa.
Everyone who is not strong is cur... | John is not humble. | entailment | ((?[X]:((tall(X)<~>~wise(X))))=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:(~tall(X)<=>(strong(X)<~>tall(X))))&
(![X]:((patient(X)&~tall(X))<=>(calm(X)|wise(X))))&
((?[X]:(happy(X)))<=>((rich(lucy)&brave(lucy))))&
(![X]:(~strong(X)<=>curious(X)))&
(((~creative(john)<~>calm(john)))=>((~curious(paul)<~>~creative(paul))))&
(!... | ~humble(john) | [
"p2",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4534812180634275146581249
% SZS output start Proof for 4534812180634275146581249
3. ! [X0] : ((~tall(X0) & patient(X0)) <=> (wise(X0) | calm(X0))) [input p2]
7. ! [X0] : ((~tall(X0) | humble(X0)) => (rich(X0) & ~happy(X0))) [input p6]
8. ! [X0] : ((patient(X0) | ~happy(X0)) => (calm(X0) &... | 0 |
If susan is both patient and quiet then someone is both calm and tall.
Everyone who is curious or not strong is generous and vice versa.
Everyone who is both rich and not rich is creative or not curious and vice versa.
If lucy is both not old and strong then john is either rich or not curious.
If alice is either not fu... | John is not patient. | neutral | (((patient(susan)&quiet(susan)))=>(?[X]:((calm(X)&tall(X)))))&
(![X]:((curious(X)|~strong(X))<=>generous(X)))&
(![X]:((rich(X)&~rich(X))<=>(creative(X)|~curious(X))))&
(((~old(lucy)&strong(lucy)))=>((rich(john)<~>~curious(john))))&
(((~funny(alice)<~>~strong(alice)))<=>(?[X]:((calm(X)<~>old(X)))))&
(((~wise(alice)|~cal... | ~patient(john) | [] | null | 0 |
Everyone who is both strong and not creative is both patient and not quiet and vice versa.
If someone is either not tall or happy then paul is not curious or not wise.
If someone is patient then lucy is either not humble or wise.
Everyone who is both patient and not tall is either patient or not generous and vice versa... | Fred is not curious. | entailment | (![X]:((strong(X)&~creative(X))<=>(patient(X)&~quiet(X))))&
((?[X]:((~tall(X)<~>happy(X))))=>((~curious(paul)|~wise(paul))))&
((?[X]:(patient(X)))=>((~humble(lucy)<~>wise(lucy))))&
(![X]:((patient(X)&~tall(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:(old(X)))<=>((curious(john)|calm(john))))&
(![X]:((curious(X)|~kind(X)... | ~curious(fred) | [
"p0",
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 19605562469713674145483
% SZS output start Proof for 19605562469713674145483
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~quiet(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (patient(X0) <~> ~generous(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | curious(X0)) <... | 0 |
Everyone who is both not strong and not curious is not old or not brave.
If paul is quiet or strong then someone is not quiet or old and vice versa.
If someone is either patient or strong then someone is either not curious or strong.
If someone is both calm and quiet then someone is either calm or not strong.
Everyone ... | Paul is not generous. | entailment | (![X]:((~strong(X)&~curious(X))=>(~old(X)|~brave(X))))&
(((quiet(paul)|strong(paul)))<=>(?[X]:((~quiet(X)|old(X)))))&
((?[X]:((patient(X)<~>strong(X))))=>(?[X]:((~curious(X)<~>strong(X)))))&
((?[X]:((calm(X)&quiet(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((~tall(X)<~>~quiet(X))=>(quiet(X)|~brave(X))))&
((~old(pau... | ~generous(paul) | [
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5832492678891456838132414
% SZS output start Proof for 5832492678891456838132414
7. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> tall(X0)) [input p6]
8. ! [X0] : ((old(X0) | rich(X0)) => (~strong(X0) & ~tall(X0))) [input p7]
11. ! [X0] : ((~patient(X0) <~> creative(X0)) <=> (patient(X0)... | 0 |
Everyone who is both tall and generous is creative or quiet and vice versa.
If someone is either not brave or not curious then mary is both not funny and happy and vice versa.
If lucy is either brave or humble then someone is both strong and not curious and vice versa.
If susan is both not tall and not curious then luc... | John is rich. | neutral | (![X]:((tall(X)&generous(X))<=>(creative(X)|quiet(X))))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(mary)&happy(mary))))&
(((brave(lucy)<~>humble(lucy)))<=>(?[X]:((strong(X)&~curious(X)))))&
(((~tall(susan)&~curious(susan)))<=>(kind(lucy)))&
(((calm(lucy)<~>~patient(lucy)))<=>(?[X]:((~generous(X)&wise(X)))))&
(![X]... | rich(john) | [] | null | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then mary is not happy or not kind.
If mary is not curious then alice is either kind or calm and vice versa.
Everyone who is humble is creative or calm and vice versa.
Everyone who is bot... | Mary is calm. | entailment | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>((~happy(mary)|~kind(mary))))&
((~curious(mary))<=>((kind(alice)<~>calm(alice))))&
(![X]:(humble(X)<=>(creative(X)|calm(X))))&
(![X]:((~humble(X)&creative(X))=>quiet(X)))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~tall(X))))&
(... | calm(mary) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 75035563166612307336453
% SZS output start Proof for 75035563166612307336453
6. ! [X0] : ((~curious(X0) | old(X0)) => (~tall(X0) & ~old(X0))) [input p5]
8. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (curious(X0) & calm(X0))) [input p7]
18. ~calm(mary) [input hypothesis]
24. ! [X0] : ((~tall(X0)... | 0 |
If mary is either wise or not curious then paul is curious or quiet and vice versa. Everyone who is not creative is patient or funny and vice versa. Everyone who is both not wise and brave is both happy and wise and vice versa. Everyone who is either not tall or happy is old or humble. Everyone who is creative or not g... | John is humble. | neutral | (((wise(mary)<~>~curious(mary)))<=>((curious(paul)|quiet(paul))))&
(![X]:(~creative(X)<=>(patient(X)|funny(X))))&
(![X]:((~wise(X)&brave(X))<=>(happy(X)&wise(X))))&
(![X]:((~tall(X)<~>happy(X))=>(old(X)|humble(X))))&
(![X]:((creative(X)|~generous(X))<=>(happy(X)<~>~calm(X))))&
((?[X]:((strong(X)<~>~curious(X))))=>((cre... | humble(john) | [] | null | 0 |
Everyone who is either tall or not creative is either not funny or strong.
If paul is not humble or tall then someone is quiet.
Everyone who is not brave or not calm is both not tall and calm and vice versa.
Everyone who is both not tall and not brave is both not curious and not creative and vice versa.
If susan is eit... | Mary is strong. | contradiction | (![X]:((tall(X)<~>~creative(X))=>(~funny(X)<~>strong(X))))&
(((~humble(paul)|tall(paul)))=>(?[X]:(quiet(X))))&
(![X]:((~brave(X)|~calm(X))<=>(~tall(X)&calm(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~curious(X)&~creative(X))))&
(((rich(susan)<~>~patient(susan)))=>(?[X]:((~funny(X)<~>quiet(X)))))&
((?[X]:((~creative(X)&calm(... | strong(mary) | [
"p0",
"p2",
"p3",
"p5",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8081107844131158149252987
% SZS output start Proof for 8081107844131158149252987
1. ! [X0] : ((tall(X0) <~> ~creative(X0)) => (~funny(X0) <~> strong(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (calm(X0) & ~tall(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (~cr... | 0 |
If john is either not quiet or not humble then someone is quiet or not kind.
Everyone who is old is humble or brave and vice versa.
Everyone who is wise is both not wise and kind and vice versa.
If susan is curious or not brave then fred is either creative or not generous.
If susan is both tall and not brave then someo... | Fred is creative. | neutral | (((~quiet(john)<~>~humble(john)))=>(?[X]:((quiet(X)|~kind(X)))))&
(![X]:(old(X)<=>(humble(X)|brave(X))))&
(![X]:(wise(X)<=>(~wise(X)&kind(X))))&
(((curious(susan)|~brave(susan)))=>((creative(fred)<~>~generous(fred))))&
(((tall(susan)&~brave(susan)))=>(?[X]:(funny(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~brave(X)|~gene... | creative(fred) | [] | null | 0 |
If someone is kind then fred is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Alice is curious. | contradiction | ((?[X]:(kind(X)))<=>((~quiet(fred)|humble(fred))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | curious(alice) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3541463885695994825894900
% SZS output start Proof for 3541463885695994825894900
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
16. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p15]
23. curious(alice) [input hypothesis]
24. ? [X0] : ... | 0 |
Everyone who is happy or not calm is not rich or tall and vice versa.
If someone is both tall and creative then someone is either patient or not patient.
Everyone who is both brave and not funny is creative and vice versa.
If someone is either not patient or not calm then susan is either not humble or rich and vice ver... | Lucy is not curious. | neutral | (![X]:((happy(X)|~calm(X))<=>(~rich(X)|tall(X))))&
((?[X]:((tall(X)&creative(X))))=>(?[X]:((patient(X)<~>~patient(X)))))&
(![X]:((brave(X)&~funny(X))<=>creative(X)))&
((?[X]:((~patient(X)<~>~calm(X))))<=>((~humble(susan)<~>rich(susan))))&
(![X]:((~humble(X)<~>~old(X))<=>(old(X)&~brave(X))))&
(![X]:((~happy(X)&~old(X))=... | ~curious(lucy) | [] | null | 0 |
If mary is wise then john is not wise or not tall. Everyone who is either not curious or patient is old or not kind. Everyone who is not happy is both not strong and not patient. Everyone who is both brave and happy is not creative and vice versa. If john is both not strong and kind then someone is either calm or rich ... | Paul is happy. | entailment | ((wise(mary))=>((~wise(john)|~tall(john))))&
(![X]:((~curious(X)<~>patient(X))=>(old(X)|~kind(X))))&
(![X]:(~happy(X)=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~calm(X)&~generous(X))))&
(![X]... | happy(paul) | [
"p3",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6367644787908720857233107
% SZS output start Proof for 6367644787908720857233107
4. ! [X0] : ((happy(X0) & brave(X0)) <=> ~creative(X0)) [input p3]
6. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (~generous(X0) & ~calm(X0))) [input p5]
8. ! [X0] : ((wise(X0) & funny(X0)) <=> ~calm(X0)) [inpu... | 0 |
If john is both calm and generous then someone is either calm or not patient and vice versa. Everyone who is not calm is brave or not old and vice versa. If lucy is quiet then john is either funny or strong. Everyone who is not tall or rich is tall or not brave and vice versa. Everyone who is patient is both not curiou... | Alice is not funny. | contradiction | (((calm(john)&generous(john)))<=>(?[X]:((calm(X)<~>~patient(X)))))&
(![X]:(~calm(X)<=>(brave(X)|~old(X))))&
((quiet(lucy))=>((funny(john)<~>strong(john))))&
(![X]:((~tall(X)|rich(X))<=>(tall(X)|~brave(X))))&
(![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(old(X)<~>~rich(X))))&
((?[X]:... | ~funny(alice) | [
"p1",
"p7",
"p9",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7606826112430214241714321
% SZS output start Proof for 7606826112430214241714321
2. ! [X0] : (~calm(X0) <=> (~old(X0) | brave(X0))) [input p1]
8. ! [X0] : (old(X0) <=> ~patient(X0)) [input p7]
10. ! [X0] : (~patient(X0) <=> (~kind(X0) <~> funny(X0))) [input p9]
13. ! [X0] : ((~kind(X0) <~... | 0 |
Everyone who is not curious is generous or not rich and vice versa. Everyone who is both not funny and not happy is generous. If paul is not happy or not funny then someone is either brave or not curious. Everyone who is either not rich or not creative is both brave and kind. If paul is quiet or not generous then someo... | Paul is not tall. | entailment | (![X]:(~curious(X)<=>(generous(X)|~rich(X))))&
(![X]:((~funny(X)&~happy(X))=>generous(X)))&
(((~happy(paul)|~funny(paul)))=>(?[X]:((brave(X)<~>~curious(X)))))&
(![X]:((~rich(X)<~>~creative(X))=>(brave(X)&kind(X))))&
(((quiet(paul)|~generous(paul)))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((calm(X)<~>~curious(X))<=>~c... | ~tall(paul) | [
"p5",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7957576587811653758365752
% SZS output start Proof for 7957576587811653758365752
6. ! [X0] : ((calm(X0) <~> ~curious(X0)) <=> ~curious(X0)) [input p5]
7. ! [X0] : ((creative(X0) | ~wise(X0)) <=> (calm(X0) & tall(X0))) [input p6]
8. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (~brave(X0) & ~... | 0 |
If paul is not generous then lucy is either not quiet or not tall and vice versa. Everyone who is both creative and not wise is wise. If john is either not humble or tall then someone is both not strong and not calm and vice versa. If someone is both curious and old then someone is happy or not old. Everyone who is not... | Alice is old. | contradiction | ((~generous(paul))<=>((~quiet(lucy)<~>~tall(lucy))))&
(![X]:((creative(X)&~wise(X))=>wise(X)))&
(((~humble(john)<~>tall(john)))<=>(?[X]:((~strong(X)&~calm(X)))))&
((?[X]:((curious(X)&old(X))))=>(?[X]:((happy(X)|~old(X)))))&
(![X]:(~funny(X)=>(~creative(X)|~happy(X))))&
(![X]:((strong(X)|humble(X))=>~old(X)))&
((?[X]:((... | old(alice) | [
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2894900238249803536498035
% SZS output start Proof for 2894900238249803536498035
6. ! [X0] : ((humble(X0) | strong(X0)) => ~old(X0)) [input p5]
9. ! [X0] : (funny(X0) <=> (~strong(X0) | humble(X0))) [input p8]
15. ! [X0] : ((funny(X0) <~> humble(X0)) => (brave(X0) & ~funny(X0))) [input p1... | 0 |
If susan is either wise or not strong then mary is either humble or not humble. Everyone who is either curious or not old is either kind or not happy. Everyone who is not humble or not rich is creative. If fred is old then susan is kind. If someone is both strong and not strong then alice is both not calm and kind. If ... | John is not tall. | contradiction | (((wise(susan)<~>~strong(susan)))=>((humble(mary)<~>~humble(mary))))&
(![X]:((curious(X)<~>~old(X))=>(kind(X)<~>~happy(X))))&
(![X]:((~humble(X)|~rich(X))=>creative(X)))&
((old(fred))=>(kind(susan)))&
((?[X]:((strong(X)&~strong(X))))=>((~calm(alice)&kind(alice))))&
((?[X]:((tall(X)<~>~funny(X))))<=>((~kind(john)<~>pati... | ~tall(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6755939875552934148990731
% SZS output start Proof for 6755939875552934148990731
19. tall(john) [input p18]
25. ~tall(john) [input hypothesis]
131. tall(john) [cnf transformation 19]
140. ~tall(john) [cnf transformation 25]
258. $false [subsumption resolution 140,131]
% SZS output end Pro... | 0 |
If paul is not wise or not happy then lucy is funny.
If someone is kind or creative then someone is both strong and not happy and vice versa.
Everyone who is both not kind and old is both not generous and creative and vice versa.
If paul is creative then john is not kind and vice versa.
If someone is either not generou... | Fred is tall. | entailment | (((~wise(paul)|~happy(paul)))=>(funny(lucy)))&
((?[X]:((kind(X)|creative(X))))<=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~kind(X)&old(X))<=>(~generous(X)&creative(X))))&
((creative(paul))<=>(~kind(john)))&
((?[X]:((~generous(X)<~>patient(X))))<=>(~patient(paul)))&
((?[X]:(~generous(X)))<=>(?[X]:((~quiet(X)&generous(X)... | tall(fred) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3950944821236297477118544
% SZS output start Proof for 3950944821236297477118544
8. ! [X0] : ((wise(X0) | ~tall(X0)) => ~rich(X0)) [input p7]
19. rich(fred) [input p18]
25. ~tall(fred) [input hypothesis]
32. ! [X0] : (~rich(X0) | (~wise(X0) & tall(X0))) [ennf transformation 8]
108. ~rich(... | 0 |
If fred is tall then susan is both quiet and not strong.
Everyone who is not wise is not wise or not quiet.
If someone is both curious and not quiet then someone is curious.
If someone is not old then someone is both quiet and curious and vice versa.
Everyone who is either not calm or not old is either old or patient.
... | Paul is not wise. | contradiction | ((tall(fred))=>((quiet(susan)&~strong(susan))))&
(![X]:(~wise(X)=>(~wise(X)|~quiet(X))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:(curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((quiet(X)&curious(X)))))&
(![X]:((~calm(X)<~>~old(X))=>(old(X)<~>patient(X))))&
(![X]:((~calm(X)|old(X))<=>(~strong(X)|quiet(X))))&
(((rich(paul)<~... | ~wise(paul) | [
"p7",
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4717486140752203392529416
% SZS output start Proof for 4717486140752203392529416
8. ! [X0] : (~quiet(X0) <=> (~happy(X0) <~> quiet(X0))) [input p7]
11. ? [X0] : (creative(X0) | ~quiet(X0)) <=> (~curious(paul) & kind(paul)) [input p10]
14. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (humble(... | 0 |
Everyone who is both not quiet and rich is both not patient and not old.
Everyone who is either old or quiet is either not patient or not funny and vice versa.
If mary is not wise then alice is generous.
Everyone who is rich or calm is not rich and vice versa.
Everyone who is either kind or old is either rich or patien... | John is not strong. | neutral | (![X]:((~quiet(X)&rich(X))=>(~patient(X)&~old(X))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)<~>~funny(X))))&
((~wise(mary))=>(generous(alice)))&
(![X]:((rich(X)|calm(X))<=>~rich(X)))&
(![X]:((kind(X)<~>old(X))<=>(rich(X)<~>patient(X))))&
(((~happy(alice)<~>patient(alice)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:(... | ~strong(john) | [] | null | 0 |
Everyone who is not kind or kind is either not rich or generous and vice versa. Everyone who is both kind and humble is not wise and vice versa. Everyone who is either not creative or not strong is strong and vice versa. If john is not calm then someone is tall or not patient. If someone is both not curious and not wis... | John is brave. | neutral | (![X]:((~kind(X)|kind(X))<=>(~rich(X)<~>generous(X))))&
(![X]:((kind(X)&humble(X))<=>~wise(X)))&
(![X]:((~creative(X)<~>~strong(X))<=>strong(X)))&
((~calm(john))=>(?[X]:((tall(X)|~patient(X)))))&
((?[X]:((~curious(X)&~wise(X))))<=>(?[X]:((~tall(X)<~>~strong(X)))))&
(![X]:((~funny(X)|~curious(X))<=>(~strong(X)|old(X))))... | brave(john) | [] | null | 0 |
If mary is both not rich and not happy then mary is not wise. If someone is both not creative and not quiet then mary is not creative. Everyone who is either happy or not humble is both happy and not old and vice versa. Everyone who is not strong is strong. Everyone who is both calm and not rich is strong and vice vers... | Alice is patient. | contradiction | (((~rich(mary)&~happy(mary)))=>(~wise(mary)))&
((?[X]:((~creative(X)&~quiet(X))))=>(~creative(mary)))&
(![X]:((happy(X)<~>~humble(X))<=>(happy(X)&~old(X))))&
(![X]:(~strong(X)=>strong(X)))&
(![X]:((calm(X)&~rich(X))<=>strong(X)))&
(![X]:((~brave(X)<~>~calm(X))<=>generous(X)))&
(![X]:((funny(X)<~>old(X))=>(~brave(X)|cre... | patient(alice) | [
"p2",
"p3",
"p4",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4886040951938089919863545
% SZS output start Proof for 4886040951938089919863545
3. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> (~old(X0) & happy(X0))) [input p2]
4. ! [X0] : (~strong(X0) => strong(X0)) [input p3]
5. ! [X0] : ((~rich(X0) & calm(X0)) <=> strong(X0)) [input p4]
8. ? [X0] : (~... | 0 |
Everyone who is strong is not patient or not brave.
If mary is either brave or not kind then susan is both rich and not rich and vice versa.
Everyone who is not quiet is quiet.
Everyone who is either not happy or tall is both tall and wise.
If john is not calm or wise then someone is patient or not rich.
Everyone who i... | Alice is not happy. | entailment | (![X]:(strong(X)=>(~patient(X)|~brave(X))))&
(((brave(mary)<~>~kind(mary)))<=>((rich(susan)&~rich(susan))))&
(![X]:(~quiet(X)=>quiet(X)))&
(![X]:((~happy(X)<~>tall(X))=>(tall(X)&wise(X))))&
(((~calm(john)|wise(john)))=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:(happy(X)<=>calm(X)))&
(((old(paul)<~>kind(paul)))<=>((~old(su... | ~happy(alice) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6121475359720998149741050
% SZS output start Proof for 6121475359720998149741050
10. ! [X0] : (happy(X0) => (~happy(X0) | ~creative(X0))) [input p9]
13. ! [X0] : (happy(X0) <=> (creative(X0) & generous(X0))) [input p12]
23. happy(alice) [input hypothesis]
33. ! [X0] : ((~happy(X0) | ~crea... | 0 |
Everyone who is either calm or not curious is not tall.
Everyone who is either humble or not happy is either quiet or not tall and vice versa.
If fred is not humble or humble then lucy is not curious or curious and vice versa.
If susan is tall or not creative then mary is either not wise or rich.
Everyone who is not cr... | Mary is quiet. | contradiction | (![X]:((calm(X)<~>~curious(X))=>~tall(X)))&
(![X]:((humble(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(((~humble(fred)|humble(fred)))<=>((~curious(lucy)|curious(lucy))))&
(((tall(susan)|~creative(susan)))=>((~wise(mary)<~>rich(mary))))&
(![X]:((~creative(X)|quiet(X))=>(~happy(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~humb... | quiet(mary) | [
"p1",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2337739251550157387767243
% SZS output start Proof for 2337739251550157387767243
2. ! [X0] : ((humble(X0) <~> ~happy(X0)) <=> (quiet(X0) <~> ~tall(X0))) [input p1]
5. ! [X0] : ((quiet(X0) | ~creative(X0)) => (~happy(X0) <~> ~brave(X0))) [input p4]
6. ! [X0] : ((~tall(X0) <~> ~humble(X0)) ... | 0 |
Everyone who is not quiet or kind is creative and vice versa.
If john is both wise and humble then susan is both wise and not quiet.
Everyone who is not patient or funny is funny or tall.
Everyone who is both calm and not creative is either curious or not quiet.
Everyone who is happy is not quiet or tall.
If someone is... | Paul is not creative. | neutral | (![X]:((~quiet(X)|kind(X))<=>creative(X)))&
(((wise(john)&humble(john)))=>((wise(susan)&~quiet(susan))))&
(![X]:((~patient(X)|funny(X))=>(funny(X)|tall(X))))&
(![X]:((calm(X)&~creative(X))=>(curious(X)<~>~quiet(X))))&
(![X]:(happy(X)=>(~quiet(X)|tall(X))))&
((?[X]:((old(X)|calm(X))))=>((brave(lucy)&~calm(lucy))))&
((?[... | ~creative(paul) | [] | null | 0 |
If someone is not generous or creative then someone is either strong or not creative and vice versa. Everyone who is not happy or not calm is either patient or kind. If someone is not old then someone is not strong and vice versa. If john is both not generous and quiet then paul is either not curious or generous. If jo... | John is kind. | contradiction | ((?[X]:((~generous(X)|creative(X))))<=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~calm(X))=>(patient(X)<~>kind(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~strong(X))))&
(((~generous(john)&quiet(john)))=>((~curious(paul)<~>generous(paul))))&
((funny(john))<=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~calm(X)|~quiet(X)... | kind(john) | [
"p2",
"p4",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8082441228328204087633305
% SZS output start Proof for 8082441228328204087633305
3. ? [X0] : ~old(X0) <=> ? [X0] : ~strong(X0) [input p2]
5. funny(john) <=> ? [X0] : (~quiet(X0) & calm(X0)) [input p4]
6. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~strong(X0) & calm(X0))) [input p5]
7. ! [X0]... | 0 |
If lucy is both not patient and wise then someone is not strong and vice versa. Everyone who is not calm is kind. If someone is either quiet or brave then alice is quiet or not rich and vice versa. Everyone who is not strong is not rich. Everyone who is curious is quiet. Everyone who is not creative is either curious o... | Lucy is not happy. | entailment | (((~patient(lucy)&wise(lucy)))<=>(?[X]:(~strong(X))))&
(![X]:(~calm(X)=>kind(X)))&
((?[X]:((quiet(X)<~>brave(X))))<=>((quiet(alice)|~rich(alice))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~creative(X)<=>(curious(X)<~>quiet(X))))&
(![X]:(happy(X)<=>(strong(X)&generous(X))))&
((?[X]:((curiou... | ~happy(lucy) | [
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7554110469913888071682801
% SZS output start Proof for 7554110469913888071682801
11. ! [X0] : (patient(X0) <=> (kind(X0) & ~wise(X0))) [input p10]
12. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~happy(X0) & ~funny(X0))) [input p11]
13. ! [X0] : (~patient(X0) => patient(X0)) [input p12]
21.... | 0 |
Everyone who is happy is not creative.
Everyone who is both not strong and not humble is both generous and not brave.
Everyone who is both not humble and funny is either wise or strong and vice versa.
Everyone who is both strong and not patient is kind and vice versa.
If someone is wise or not brave then someone is eit... | Alice is quiet. | contradiction | (![X]:(happy(X)=>~creative(X)))&
(![X]:((~strong(X)&~humble(X))=>(generous(X)&~brave(X))))&
(![X]:((~humble(X)&funny(X))<=>(wise(X)<~>strong(X))))&
(![X]:((strong(X)&~patient(X))<=>kind(X)))&
((?[X]:((wise(X)|~brave(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(happy(X)&tall(X))))&
(![X]:((funny... | quiet(alice) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6699992997982360424644813
% SZS output start Proof for 6699992997982360424644813
1. ! [X0] : (happy(X0) => ~creative(X0)) [input p0]
2. ! [X0] : ((~humble(X0) & ~strong(X0)) => (~brave(X0) & generous(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~humble(X0)) <=> (wise(X0) <~> strong(X0))) [i... | 0 |
Everyone who is brave or not old is not wise or tall.
Everyone who is not quiet is not strong.
If someone is not funny or not brave then susan is both creative and curious.
Everyone who is not generous or happy is either funny or not funny and vice versa.
Everyone who is either not strong or not curious is either kind ... | Fred is rich. | neutral | (![X]:((brave(X)|~old(X))=>(~wise(X)|tall(X))))&
(![X]:(~quiet(X)=>~strong(X)))&
((?[X]:((~funny(X)|~brave(X))))=>((creative(susan)&curious(susan))))&
(![X]:((~generous(X)|happy(X))<=>(funny(X)<~>~funny(X))))&
(![X]:((~strong(X)<~>~curious(X))=>(kind(X)<~>~generous(X))))&
(((humble(alice)|creative(alice)))<=>(?[X]:(tal... | rich(fred) | [] | null | 0 |
Everyone who is not humble or not creative is not kind and vice versa.
If someone is both patient and generous then fred is either quiet or not rich and vice versa.
If susan is patient or not old then someone is not funny or humble and vice versa.
Everyone who is either humble or not patient is both not funny and happy... | Fred is not humble. | entailment | (![X]:((~humble(X)|~creative(X))<=>~kind(X)))&
((?[X]:((patient(X)&generous(X))))<=>((quiet(fred)<~>~rich(fred))))&
(((patient(susan)|~old(susan)))<=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((humble(X)<~>~patient(X))<=>(~funny(X)&happy(X))))&
(((~brave(john)|funny(john)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~humbl... | ~humble(fred) | [
"p1",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8569738557953965617876439
% SZS output start Proof for 8569738557953965617876439
2. ? [X0] : (generous(X0) & patient(X0)) <=> (quiet(fred) <~> ~rich(fred)) [input p1]
9. ! [X0] : (wise(X0) <=> (wise(X0) <~> generous(X0))) [input p8]
12. ! [X0] : (humble(X0) <=> (strong(X0) & quiet(X0))) [... | 0 |
Everyone who is either not strong or not wise is either not generous or not humble.
Everyone who is not curious is both quiet and tall and vice versa.
If someone is either not tall or curious then someone is not happy or funny.
If someone is not generous or wise then lucy is not brave.
If someone is wise then someone i... | Susan is calm. | entailment | (![X]:((~strong(X)<~>~wise(X))=>(~generous(X)<~>~humble(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
((?[X]:((~tall(X)<~>curious(X))))=>(?[X]:((~happy(X)|funny(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(~brave(lucy)))&
((?[X]:(wise(X)))<=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:((calm(X)|tall(X))<=>~funny(X)))&
(![X... | calm(susan) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 87624830226906436695537
% SZS output start Proof for 87624830226906436695537
2. ! [X0] : (~curious(X0) <=> (tall(X0) & quiet(X0))) [input p1]
3. ? [X0] : (~tall(X0) <~> curious(X0)) => ? [X0] : (funny(X0) | ~happy(X0)) [input p2]
4. ? [X0] : (wise(X0) | ~generous(X0)) => ~brave(lucy) [inp... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | Alice is curious. | entailment | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | curious(alice) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2553975209875792305651475
% SZS output start Proof for 2553975209875792305651475
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X0) | strong(X0))) [input p3]
5. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p4]
7... | 0 |
Everyone who is both calm and quiet is old.
If susan is not creative or strong then someone is both tall and not generous.
Everyone who is creative or old is quiet and vice versa.
Everyone who is either not quiet or not patient is both not strong and creative and vice versa.
If mary is either not funny or not kind then... | Alice is rich. | contradiction | (![X]:((calm(X)&quiet(X))=>old(X)))&
(((~creative(susan)|strong(susan)))=>(?[X]:((tall(X)&~generous(X)))))&
(![X]:((creative(X)|old(X))<=>quiet(X)))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~strong(X)&creative(X))))&
(((~funny(mary)<~>~kind(mary)))=>(?[X]:((~strong(X)|~generous(X)))))&
(((brave(lucy)|~humble(lucy)))=>(?[X]... | rich(alice) | [
"p2",
"p3",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 915046917114384129808528
% SZS output start Proof for 915046917114384129808528
3. ! [X0] : ((old(X0) | creative(X0)) <=> quiet(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) <~> ~patient(X0)) <=> (creative(X0) & ~strong(X0))) [input p3]
8. ? [X0] : (curious(X0) | rich(X0)) <=> (~quiet(lucy) & g... | 0 |
If susan is either not quiet or curious then lucy is not quiet. If someone is either brave or not humble then john is either brave or creative and vice versa. If someone is both old and not rich then someone is both not curious and rich. Everyone who is creative is either not creative or curious and vice versa. If lucy... | Lucy is not old. | entailment | (((~quiet(susan)<~>curious(susan)))=>(~quiet(lucy)))&
((?[X]:((brave(X)<~>~humble(X))))<=>((brave(john)<~>creative(john))))&
((?[X]:((old(X)&~rich(X))))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:(creative(X)<=>(~creative(X)<~>curious(X))))&
(((happy(lucy)&~curious(lucy)))=>((~old(lucy)|patient(lucy))))&
(((~happy(john)|q... | ~old(lucy) | [
"p2",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7078025640988196983659199
% SZS output start Proof for 7078025640988196983659199
3. ? [X0] : (~rich(X0) & old(X0)) => ? [X0] : (rich(X0) & ~curious(X0)) [input p2]
4. ! [X0] : (creative(X0) <=> (~creative(X0) <~> curious(X0))) [input p3]
7. ! [X0] : (tall(X0) <=> (~calm(X0) & ~tall(X0))) ... | 0 |
If fred is either generous or not humble then lucy is not creative or calm and vice versa.
Everyone who is either not creative or not rich is not strong or not tall and vice versa.
Everyone who is not brave or not quiet is either not generous or not curious.
If fred is strong then susan is not creative or not curious.
... | Paul is quiet. | neutral | (((generous(fred)<~>~humble(fred)))<=>((~creative(lucy)|calm(lucy))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~strong(X)|~tall(X))))&
(![X]:((~brave(X)|~quiet(X))=>(~generous(X)<~>~curious(X))))&
((strong(fred))=>((~creative(susan)|~curious(susan))))&
(((~rich(paul)|quiet(paul)))=>(?[X]:((funny(X)|~wise(X)))))&
(![X]:(~cu... | quiet(paul) | [] | null | 0 |
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