premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is tall is happy or brave and vice versa.
If john is calm or not rich then someone is not curious or not calm.
Everyone who is not brave or not old is not calm.
Everyone who is either not calm or generous is not strong.
Everyone who is generous or not creative is both kind and not tall and vice versa.
Ever... | Paul is not kind. | contradiction | (![X]:(tall(X)<=>(happy(X)|brave(X))))&
(((calm(john)|~rich(john)))=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((~brave(X)|~old(X))=>~calm(X)))&
(![X]:((~calm(X)<~>generous(X))=>~strong(X)))&
(![X]:((generous(X)|~creative(X))<=>(kind(X)&~tall(X))))&
(![X]:(~kind(X)<=>(~creative(X)&~brave(X))))&
(((strong(fred)<~>happy(fr... | ~kind(paul) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2229880953165319760989969
% SZS output start Proof for 2229880953165319760989969
5. ! [X0] : ((~creative(X0) | generous(X0)) <=> (~tall(X0) & kind(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (~brave(X0) & ~creative(X0))) [input p5]
23. ~kind(paul) [input hypothesis]
39. ! [X0] : (((~creat... | 0 |
Everyone who is both not kind and not quiet is not curious or kind. If susan is both not happy and quiet then someone is kind and vice versa. If someone is either funny or not brave then fred is both happy and not kind and vice versa. Everyone who is not quiet or not patient is creative or happy. If alice is both not b... | Mary is not old. | contradiction | (![X]:((~kind(X)&~quiet(X))=>(~curious(X)|kind(X))))&
(((~happy(susan)&quiet(susan)))<=>(?[X]:(kind(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>((happy(fred)&~kind(fred))))&
(![X]:((~quiet(X)|~patient(X))=>(creative(X)|happy(X))))&
(((~brave(alice)&patient(alice)))=>((~funny(paul)&~creative(paul))))&
((?[X]:((~wise(X)|~k... | ~old(mary) | [
"p1",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2973035557267272681337778
% SZS output start Proof for 2973035557267272681337778
2. (quiet(susan) & ~happy(susan)) <=> ? [X0] : kind(X0) [input p1]
7. ! [X0] : ((kind(X0) | brave(X0)) <=> (strong(X0) <~> kind(X0))) [input p6]
8. ! [X0] : (~kind(X0) <=> (quiet(X0) & rich(X0))) [input p7]
1... | 0 |
If fred is either wise or creative then someone is brave. If lucy is both funny and calm then someone is both not tall and wise. Everyone who is rich or not brave is brave or not patient. If someone is not old then paul is both patient and not rich and vice versa. If fred is not old then paul is either happy or creativ... | Alice is kind. | entailment | (((wise(fred)<~>creative(fred)))=>(?[X]:(brave(X))))&
(((funny(lucy)&calm(lucy)))=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((rich(X)|~brave(X))=>(brave(X)|~patient(X))))&
((?[X]:(~old(X)))<=>((patient(paul)&~rich(paul))))&
((~old(fred))=>((happy(paul)<~>creative(paul))))&
((happy(susan))<=>(?[X]:((~calm(X)&~generous(X)))))... | kind(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4150313247716519499151310
% SZS output start Proof for 4150313247716519499151310
14. ! [X0] : ((kind(X0) | ~generous(X0)) <=> generous(X0)) [input p13]
24. ~kind(alice) [input hypothesis]
63. ! [X0] : (((kind(X0) | ~generous(X0)) | ~generous(X0)) & (generous(X0) | (~kind(X0) & generous(X0... | 0 |
Everyone who is brave is either not kind or creative.
Everyone who is either wise or not rich is strong or not calm and vice versa.
Everyone who is humble is both patient and not quiet.
Everyone who is both not happy and rich is both happy and not old.
If someone is either not brave or not generous then mary is not fun... | Alice is old. | contradiction | (![X]:(brave(X)=>(~kind(X)<~>creative(X))))&
(![X]:((wise(X)<~>~rich(X))<=>(strong(X)|~calm(X))))&
(![X]:(humble(X)=>(patient(X)&~quiet(X))))&
(![X]:((~happy(X)&rich(X))=>(happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>~generous(X))))=>((~funny(mary)|brave(mary))))&
(![X]:((creative(X)|~tall(X))<=>(old(X)<~>calm(X))))&
(![X... | old(alice) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6392562012403815948223293
% SZS output start Proof for 6392562012403815948223293
3. ! [X0] : (humble(X0) => (~quiet(X0) & patient(X0))) [input p2]
10. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~old(X0) <~> humble(X0))) [input p9]
13. ! [X0] : ((quiet(X0) & ~wise(X0)) <=> patient(X0)) [input... | 0 |
Everyone who is either not calm or not wise is both not happy and not calm and vice versa. Everyone who is strong is both funny and not patient and vice versa. Everyone who is brave or calm is either funny or not tall and vice versa. Everyone who is both happy and quiet is both not humble and old. If alice is both not ... | Paul is strong. | neutral | (![X]:((~calm(X)<~>~wise(X))<=>(~happy(X)&~calm(X))))&
(![X]:(strong(X)<=>(funny(X)&~patient(X))))&
(![X]:((brave(X)|calm(X))<=>(funny(X)<~>~tall(X))))&
(![X]:((happy(X)&quiet(X))=>(~humble(X)&old(X))))&
(((~brave(alice)&~generous(alice)))<=>((~creative(alice)<~>~funny(alice))))&
(![X]:((funny(X)|patient(X))<=>(curious... | strong(paul) | [] | null | 0 |
Everyone who is either patient or not rich is either not creative or funny and vice versa.
Everyone who is both not funny and not humble is either not creative or not kind.
If fred is either not rich or humble then alice is both quiet and wise and vice versa.
Everyone who is both quiet and not patient is both generous ... | Susan is patient. | entailment | (![X]:((patient(X)<~>~rich(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((~funny(X)&~humble(X))=>(~creative(X)<~>~kind(X))))&
(((~rich(fred)<~>humble(fred)))<=>((quiet(alice)&wise(alice))))&
(![X]:((quiet(X)&~patient(X))=>(generous(X)&~tall(X))))&
((?[X]:((~kind(X)|kind(X))))=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:((creativ... | patient(susan) | [
"p0",
"p5",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 724150802994011103332775
% SZS output start Proof for 724150802994011103332775
1. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
6. ! [X0] : ((old(X0) | creative(X0)) => (happy(X0) & wise(X0))) [input p5]
9. (~creative(susan) | ~funny(susan)) => ~happy... | 0 |
If john is both humble and not humble then someone is either happy or not funny and vice versa.
Everyone who is not old or not tall is calm or funny and vice versa.
If someone is either rich or brave then alice is either funny or wise.
Everyone who is not strong is both wise and not kind.
Everyone who is either not qui... | John is not brave. | contradiction | (((humble(john)&~humble(john)))<=>(?[X]:((happy(X)<~>~funny(X)))))&
(![X]:((~old(X)|~tall(X))<=>(calm(X)|funny(X))))&
((?[X]:((rich(X)<~>brave(X))))=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave... | ~brave(john) | [
"p0",
"p2",
"p3",
"p6",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5736105681361591285467302
% SZS output start Proof for 5736105681361591285467302
1. (~humble(john) & humble(john)) <=> ? [X0] : (happy(X0) <~> ~funny(X0)) [input p0]
3. ? [X0] : (rich(X0) <~> brave(X0)) => (funny(alice) <~> wise(alice)) [input p2]
4. ! [X0] : (~strong(X0) => (~kind(X0) & ... | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is either not old or funny then someone is either rich or not curious and vice versa.
Everyone who is not curious or patient is either happy or funny and vice versa.
Everyone who is no... | Fred is not patient. | neutral | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)<~>funny(X))))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~curious(X)|patient(X))<=>(happy(X)<~>funny(X))))&
(![X]:(~generous(X)<=>(curious(X)&~old(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:... | ~patient(fred) | [] | null | 0 |
Everyone who is not funny or tall is not humble or strong and vice versa. If paul is either generous or not old then someone is not patient or old and vice versa. Everyone who is not calm or wise is tall and vice versa. If mary is patient then someone is either kind or not quiet and vice versa. If someone is both creat... | Mary is not tall. | contradiction | (![X]:((~funny(X)|tall(X))<=>(~humble(X)|strong(X))))&
(((generous(paul)<~>~old(paul)))<=>(?[X]:((~patient(X)|old(X)))))&
(![X]:((~calm(X)|wise(X))<=>tall(X)))&
((patient(mary))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
((?[X]:((creative(X)&~patient(X))))=>((kind(susan)|~happy(susan))))&
(((~curious(lucy)<~>~generous(lucy)))=... | ~tall(mary) | [
"p6",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7089473540593061649326698
% SZS output start Proof for 7089473540593061649326698
7. ! [X0] : (creative(X0) => rich(X0)) [input p6]
13. ! [X0] : ((~humble(X0) | old(X0)) <=> tall(X0)) [input p12]
16. ! [X0] : ((rich(X0) <~> creative(X0)) <=> ~tall(X0)) [input p15]
18. ~rich(mary) <~> old(m... | 0 |
If susan is both patient and quiet then someone is both calm and tall.
Everyone who is curious or not strong is strong or not generous and vice versa.
If someone is both not wise and not patient then susan is not strong or not curious.
If someone is either kind or strong then someone is both not creative and not patien... | Fred is kind. | contradiction | (((patient(susan)&quiet(susan)))=>(?[X]:((calm(X)&tall(X)))))&
(![X]:((curious(X)|~strong(X))<=>(strong(X)|~generous(X))))&
((?[X]:((~wise(X)&~patient(X))))=>((~strong(susan)|~curious(susan))))&
((?[X]:((kind(X)<~>strong(X))))=>(?[X]:((~creative(X)&~patient(X)))))&
(((wise(john)<~>generous(john)))<=>(?[X]:((~wise(X)|~c... | kind(fred) | [
"p1",
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 158725500630209702434979
% SZS output start Proof for 158725500630209702434979
2. ! [X0] : ((~strong(X0) | curious(X0)) <=> (~generous(X0) | strong(X0))) [input p1]
4. ? [X0] : (kind(X0) <~> strong(X0)) => ? [X0] : (~patient(X0) & ~creative(X0)) [input p3]
10. ! [X0] : (strong(X0) <=> ~cu... | 0 |
Everyone who is both not quiet and quiet is patient or not generous. If susan is both not calm and kind then lucy is both not funny and not humble. If someone is not tall then someone is rich or quiet and vice versa. Everyone who is not funny is curious. Everyone who is brave or wise is either quiet or not funny. If so... | Susan is not kind. | entailment | (![X]:((~quiet(X)&quiet(X))=>(patient(X)|~generous(X))))&
(((~calm(susan)&kind(susan)))=>((~funny(lucy)&~humble(lucy))))&
((?[X]:(~tall(X)))<=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:(~funny(X)=>curious(X)))&
(![X]:((brave(X)|wise(X))=>(quiet(X)<~>~funny(X))))&
((?[X]:((~curious(X)&kind(X))))=>((old(lucy)<~>funny(lucy))))&... | ~kind(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8974082875591300491305893
% SZS output start Proof for 8974082875591300491305893
14. ! [X0] : ((~creative(X0) & creative(X0)) <=> kind(X0)) [input p13]
25. kind(susan) [input hypothesis]
67. ! [X0] : (((~creative(X0) & creative(X0)) | ~kind(X0)) & (kind(X0) | (creative(X0) | ~creative(X0)... | 0 |
If lucy is both calm and not rich then lucy is not patient or wise and vice versa. Everyone who is both not funny and not patient is both not creative and quiet and vice versa. Everyone who is not tall or generous is happy. If someone is not kind or creative then susan is both not kind and kind and vice versa. If someo... | Lucy is not happy. | entailment | (((calm(lucy)&~rich(lucy)))<=>((~patient(lucy)|wise(lucy))))&
(![X]:((~funny(X)&~patient(X))<=>(~creative(X)&quiet(X))))&
(![X]:((~tall(X)|generous(X))=>happy(X)))&
((?[X]:((~kind(X)|creative(X))))<=>((~kind(susan)&kind(susan))))&
((?[X]:((~happy(X)<~>~curious(X))))=>(?[X]:((generous(X)|curious(X)))))&
(((~kind(alice)<... | ~happy(lucy) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7477566926132103807353538
% SZS output start Proof for 7477566926132103807353538
1. (~rich(lucy) & calm(lucy)) <=> (wise(lucy) | ~patient(lucy)) [input p0]
2. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> (quiet(X0) & ~creative(X0))) [input p1]
4. ? [X0] : (creative(X0) | ~kind(X0)) <=> (kind... | 0 |
If someone is not humble or humble then someone is both not strong and quiet.
If mary is wise or happy then paul is not rich.
Everyone who is not patient is rich.
Everyone who is calm is either not brave or not kind and vice versa.
Everyone who is either not old or quiet is tall and vice versa.
If mary is quiet or tall... | Paul is strong. | entailment | ((?[X]:((~humble(X)|humble(X))))=>(?[X]:((~strong(X)&quiet(X)))))&
(((wise(mary)|happy(mary)))=>(~rich(paul)))&
(![X]:(~patient(X)=>rich(X)))&
(![X]:(calm(X)<=>(~brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>quiet(X))<=>tall(X)))&
(((quiet(mary)|tall(mary)))<=>(~quiet(lucy)))&
(((~brave(john)&~old(john)))<=>((~humble(paul)... | strong(paul) | [
"p1",
"p2",
"p7",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3964683528011031843683414
% SZS output start Proof for 3964683528011031843683414
2. (happy(mary) | wise(mary)) => ~rich(paul) [input p1]
3. ! [X0] : (~patient(X0) => rich(X0)) [input p2]
8. ! [X0] : (generous(X0) <=> (~tall(X0) | ~creative(X0))) [input p7]
11. ! [X0] : (~strong(X0) => (~c... | 0 |
Everyone who is either not brave or not tall is either not humble or not patient. If john is both funny and humble then susan is not brave and vice versa. Everyone who is both not strong and not rich is either rich or patient and vice versa. Everyone who is not humble or not happy is both not old and strong. Everyone w... | Fred is creative. | neutral | (![X]:((~brave(X)<~>~tall(X))=>(~humble(X)<~>~patient(X))))&
(((funny(john)&humble(john)))<=>(~brave(susan)))&
(![X]:((~strong(X)&~rich(X))<=>(rich(X)<~>patient(X))))&
(![X]:((~humble(X)|~happy(X))=>(~old(X)&strong(X))))&
(![X]:(~old(X)<=>(~brave(X)|~curious(X))))&
(![X]:((~kind(X)&wise(X))=>(tall(X)&~kind(X))))&
(![X]... | creative(fred) | [] | null | 0 |
Everyone who is both brave and not old is both not generous and not curious and vice versa.
If susan is curious or happy then someone is both not strong and quiet and vice versa.
If lucy is both kind and not happy then someone is both not old and rich and vice versa.
If someone is not calm then someone is both not crea... | Lucy is generous. | neutral | (![X]:((brave(X)&~old(X))<=>(~generous(X)&~curious(X))))&
(((curious(susan)|happy(susan)))<=>(?[X]:((~strong(X)&quiet(X)))))&
(((kind(lucy)&~happy(lucy)))<=>(?[X]:((~old(X)&rich(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:((~creative(X)&kind(X)))))&
((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((ha... | generous(lucy) | [] | null | 0 |
Everyone who is either happy or old is not creative or not funny.
If lucy is both generous and tall then someone is not old or brave.
If susan is kind then mary is both not creative and rich and vice versa.
Everyone who is not rich is not wise or not kind.
Everyone who is not brave is generous.
Everyone who is either n... | Susan is not creative. | entailment | (![X]:((happy(X)<~>old(X))=>(~creative(X)|~funny(X))))&
(((generous(lucy)&tall(lucy)))=>(?[X]:((~old(X)|brave(X)))))&
((kind(susan))<=>((~creative(mary)&rich(mary))))&
(![X]:(~rich(X)=>(~wise(X)|~kind(X))))&
(![X]:(~brave(X)=>generous(X)))&
(![X]:((~quiet(X)<~>wise(X))<=>(~happy(X)&~quiet(X))))&
((?[X]:((~strong(X)|~ta... | ~creative(susan) | [
"p5",
"p6",
"p8",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3306867096852662578714808
% SZS output start Proof for 3306867096852662578714808
6. ! [X0] : ((~quiet(X0) <~> wise(X0)) <=> (~quiet(X0) & ~happy(X0))) [input p5]
7. ? [X0] : (~tall(X0) | ~strong(X0)) => ? [X0] : ~generous(X0) [input p6]
9. ? [X0] : (~generous(X0) | strong(X0)) <=> (~rich(... | 0 |
Everyone who is humble is strong or quiet and vice versa.
Everyone who is either quiet or brave is both rich and patient.
If john is either not humble or not calm then someone is either not generous or rich.
Everyone who is humble is creative and vice versa.
If lucy is either humble or strong then john is not curious o... | Mary is not creative. | contradiction | (![X]:(humble(X)<=>(strong(X)|quiet(X))))&
(![X]:((quiet(X)<~>brave(X))=>(rich(X)&patient(X))))&
(((~humble(john)<~>~calm(john)))=>(?[X]:((~generous(X)<~>rich(X)))))&
(![X]:(humble(X)<=>creative(X)))&
(((humble(lucy)<~>strong(lucy)))<=>((~curious(john)|~generous(john))))&
(((strong(lucy)|patient(lucy)))<=>(calm(susan))... | ~creative(mary) | [
"p0",
"p1",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1339835280826408773520484
% SZS output start Proof for 1339835280826408773520484
1. ! [X0] : (humble(X0) <=> (quiet(X0) | strong(X0))) [input p0]
2. ! [X0] : ((quiet(X0) <~> brave(X0)) => (patient(X0) & rich(X0))) [input p1]
4. ! [X0] : (humble(X0) <=> creative(X0)) [input p3]
10. ! [X0] ... | 0 |
Everyone who is not calm or not funny is either rich or not rich. If someone is both creative and not generous then someone is both humble and kind. Everyone who is patient or rich is not generous. Everyone who is either not calm or funny is tall or not rich. If someone is not happy or not patient then someone is old a... | Susan is not tall. | contradiction | (![X]:((~calm(X)|~funny(X))=>(rich(X)<~>~rich(X))))&
((?[X]:((creative(X)&~generous(X))))=>(?[X]:((humble(X)&kind(X)))))&
(![X]:((patient(X)|rich(X))=>~generous(X)))&
(![X]:((~calm(X)<~>funny(X))=>(tall(X)|~rich(X))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:(old(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((~creative... | ~tall(susan) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5615976088601867243803229
% SZS output start Proof for 5615976088601867243803229
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~curious(X0) | ~humble(X0)) => (~creative(alice) & rich(alice)) [input p7]
9. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (curious(X0) <~> ~brave(... | 0 |
Everyone who is both rich and not humble is brave or not brave and vice versa.
If mary is not calm then alice is both not quiet and quiet and vice versa.
Everyone who is not curious is not brave and vice versa.
Everyone who is either patient or brave is both brave and not quiet and vice versa.
If lucy is not kind then ... | Fred is creative. | contradiction | (![X]:((rich(X)&~humble(X))<=>(brave(X)|~brave(X))))&
((~calm(mary))<=>((~quiet(alice)&quiet(alice))))&
(![X]:(~curious(X)<=>~brave(X)))&
(![X]:((patient(X)<~>brave(X))<=>(brave(X)&~quiet(X))))&
((~kind(lucy))<=>(?[X]:((~patient(X)|tall(X)))))&
(![X]:((funny(X)<~>~creative(X))=>~funny(X)))&
((?[X]:((~strong(X)&creative... | creative(fred) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5356353725033461790473699
% SZS output start Proof for 5356353725033461790473699
1. ! [X0] : ((~humble(X0) & rich(X0)) <=> (~brave(X0) | brave(X0))) [input p0]
4. ! [X0] : ((patient(X0) <~> brave(X0)) <=> (~quiet(X0) & brave(X0))) [input p3]
6. ! [X0] : ((funny(X0) <~> ~creative(X0)) => ~... | 0 |
Everyone who is not strong or not generous is not quiet or not old.
If mary is either not rich or not calm then someone is strong or not calm and vice versa.
Everyone who is both funny and not brave is funny and vice versa.
If someone is not generous then john is not tall or creative and vice versa.
Everyone who is pat... | John is creative. | neutral | (![X]:((~strong(X)|~generous(X))=>(~quiet(X)|~old(X))))&
(((~rich(mary)<~>~calm(mary)))<=>(?[X]:((strong(X)|~calm(X)))))&
(![X]:((funny(X)&~brave(X))<=>funny(X)))&
((?[X]:(~generous(X)))<=>((~tall(john)|creative(john))))&
(![X]:(patient(X)<=>~humble(X)))&
(![X]:((rich(X)&quiet(X))=>(creative(X)&calm(X))))&
(![X]:((quie... | creative(john) | [] | null | 0 |
Everyone who is both not brave and curious is kind and vice versa.
Everyone who is both not curious and patient is either funny or rich.
Everyone who is both happy and not patient is either happy or kind.
Everyone who is not patient or not humble is patient and vice versa.
Everyone who is wise or not strong is not pati... | Fred is not humble. | entailment | (![X]:((~brave(X)&curious(X))<=>kind(X)))&
(![X]:((~curious(X)&patient(X))=>(funny(X)<~>rich(X))))&
(![X]:((happy(X)&~patient(X))=>(happy(X)<~>kind(X))))&
(![X]:((~patient(X)|~humble(X))<=>patient(X)))&
(![X]:((wise(X)|~strong(X))<=>~patient(X)))&
(![X]:((happy(X)|~wise(X))<=>tall(X)))&
(![X]:((~brave(X)<~>~creative(X)... | ~humble(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2051802198160704902662020
% SZS output start Proof for 2051802198160704902662020
4. ! [X0] : ((~humble(X0) | ~patient(X0)) <=> patient(X0)) [input p3]
25. humble(fred) [input hypothesis]
42. ! [X0] : (((~humble(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (humble(X0) & patient(X0)... | 0 |
Everyone who is both not generous and not curious is brave or not humble and vice versa. If paul is humble or not generous then paul is strong or not brave and vice versa. Everyone who is both not quiet and strong is either calm or not funny. If someone is not wise then alice is not curious or humble. If someone is cre... | Paul is quiet. | entailment | (![X]:((~generous(X)&~curious(X))<=>(brave(X)|~humble(X))))&
(((humble(paul)|~generous(paul)))<=>((strong(paul)|~brave(paul))))&
(![X]:((~quiet(X)&strong(X))=>(calm(X)<~>~funny(X))))&
((?[X]:(~wise(X)))=>((~curious(alice)|humble(alice))))&
((?[X]:((creative(X)|~creative(X))))<=>((~creative(alice)&~wise(alice))))&
((cur... | quiet(paul) | [
"p0",
"p5",
"p7",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5781945950707045130881686
% SZS output start Proof for 5781945950707045130881686
1. ! [X0] : ((~curious(X0) & ~generous(X0)) <=> (~humble(X0) | brave(X0))) [input p0]
6. curious(susan) <=> (~creative(paul) | strong(paul)) [input p5]
8. ! [X0] : ((~kind(X0) & curious(X0)) <=> patient(X0)) ... | 0 |
If mary is both not kind and brave then someone is both not creative and not calm and vice versa.
Everyone who is both not old and quiet is either tall or not rich.
Everyone who is wise is not tall or not rich.
If susan is tall then someone is either tall or not brave.
If someone is strong then lucy is both not strong ... | Lucy is rich. | contradiction | (((~kind(mary)&brave(mary)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:((~old(X)&quiet(X))=>(tall(X)<~>~rich(X))))&
(![X]:(wise(X)=>(~tall(X)|~rich(X))))&
((tall(susan))=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:(strong(X)))<=>((~strong(lucy)&brave(lucy))))&
((~funny(mary))<=>(?[X]:((strong(X)|~strong(X)))))&
((~brave(... | rich(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3208413777859244763296386
% SZS output start Proof for 3208413777859244763296386
22. ~rich(lucy) [input p21]
25. rich(lucy) [input hypothesis]
135. ~rich(lucy) [cnf transformation 22]
138. rich(lucy) [cnf transformation 25]
364. $false [subsumption resolution 138,135]
% SZS output end Pro... | 0 |
Everyone who is kind is either not calm or creative. If mary is either not brave or not quiet then susan is funny. If someone is funny or not kind then someone is both wise and not kind. Everyone who is either creative or tall is brave and vice versa. Everyone who is strong is not humble or old. Everyone who is either ... | Paul is brave. | neutral | (![X]:(kind(X)=>(~calm(X)<~>creative(X))))&
(((~brave(mary)<~>~quiet(mary)))=>(funny(susan)))&
((?[X]:((funny(X)|~kind(X))))=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((creative(X)<~>tall(X))<=>brave(X)))&
(![X]:(strong(X)=>(~humble(X)|old(X))))&
(![X]:((~humble(X)<~>kind(X))<=>curious(X)))&
(![X]:((~happy(X)&funny(X))<=>(~... | brave(paul) | [] | null | 0 |
Everyone who is not rich or humble is patient or wise.
If alice is tall or not patient then someone is both quiet and patient and vice versa.
Everyone who is not calm is both not patient and curious and vice versa.
If lucy is both not wise and wise then someone is wise or not quiet and vice versa.
Everyone who is both ... | Alice is happy. | entailment | (![X]:((~rich(X)|humble(X))=>(patient(X)|wise(X))))&
(((tall(alice)|~patient(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~calm(X)<=>(~patient(X)&curious(X))))&
(((~wise(lucy)&wise(lucy)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~ol... | happy(alice) | [
"p0",
"p2",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4762881903851147892684901
% SZS output start Proof for 4762881903851147892684901
1. ! [X0] : ((humble(X0) | ~rich(X0)) => (wise(X0) | patient(X0))) [input p0]
3. ! [X0] : (~calm(X0) <=> (curious(X0) & ~patient(X0))) [input p2]
4. (wise(lucy) & ~wise(lucy)) <=> ? [X0] : (~quiet(X0) | wise(... | 0 |
Everyone who is both calm and funny is not humble or not wise.
Everyone who is quiet is both patient and calm and vice versa.
If mary is both not funny and wise then lucy is either not happy or not generous.
If paul is both funny and not curious then paul is not creative or tall and vice versa.
If someone is curious or... | Paul is not calm. | entailment | (![X]:((calm(X)&funny(X))=>(~humble(X)|~wise(X))))&
(![X]:(quiet(X)<=>(patient(X)&calm(X))))&
(((~funny(mary)&wise(mary)))=>((~happy(lucy)<~>~generous(lucy))))&
(((funny(paul)&~curious(paul)))<=>((~creative(paul)|tall(paul))))&
((?[X]:((curious(X)|tall(X))))<=>(?[X]:((strong(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>~curi... | ~calm(paul) | [
"p3",
"p7",
"p9",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3954489250384898351961200
% SZS output start Proof for 3954489250384898351961200
4. (~curious(paul) & funny(paul)) <=> (tall(paul) | ~creative(paul)) [input p3]
8. ! [X0] : ((old(X0) | ~strong(X0)) <=> ~old(X0)) [input p7]
10. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> quiet(X0)) [input ... | 0 |
If lucy is both wise and creative then susan is both not curious and kind. Everyone who is both curious and not tall is not brave and vice versa. If someone is calm or rich then lucy is not wise or generous and vice versa. Everyone who is either not generous or tall is tall. If someone is not curious or not funny then ... | John is tall. | entailment | (((wise(lucy)&creative(lucy)))=>((~curious(susan)&kind(susan))))&
(![X]:((curious(X)&~tall(X))<=>~brave(X)))&
((?[X]:((calm(X)|rich(X))))<=>((~wise(lucy)|generous(lucy))))&
(![X]:((~generous(X)<~>tall(X))=>tall(X)))&
((?[X]:((~curious(X)|~funny(X))))=>(?[X]:((~kind(X)&~generous(X)))))&
(((~patient(john)|quiet(john)))<=... | tall(john) | [
"p3",
"p7",
"p8",
"p9",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6370330955680309802483334
% SZS output start Proof for 6370330955680309802483334
4. ! [X0] : ((~generous(X0) <~> tall(X0)) => tall(X0)) [input p3]
8. ! [X0] : ((humble(X0) | rich(X0)) <=> (old(X0) & ~brave(X0))) [input p7]
9. ! [X0] : ((~patient(X0) <~> ~creative(X0)) => (generous(X0) & ~... | 0 |
Everyone who is either not tall or humble is both not calm and creative. Everyone who is not rich or kind is wise and vice versa. If someone is humble or not creative then fred is not wise and vice versa. If paul is either creative or not humble then someone is not tall and vice versa. If someone is either not curious ... | Fred is wise. | contradiction | (![X]:((~tall(X)<~>humble(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|kind(X))<=>wise(X)))&
((?[X]:((humble(X)|~creative(X))))<=>(~wise(fred)))&
(((creative(paul)<~>~humble(paul)))<=>(?[X]:(~tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>((quiet(susan)|~quiet(susan))))&
(![X]:((funny(X)|generous(X))=>kind(X)))&
((?... | wise(fred) | [
"p2",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6737265944009699176236783
% SZS output start Proof for 6737265944009699176236783
3. ? [X0] : (~creative(X0) | humble(X0)) <=> ~wise(fred) [input p2]
4. (creative(paul) <~> ~humble(paul)) <=> ? [X0] : ~tall(X0) [input p3]
18. ? [X0] : (~strong(X0) & ~tall(X0)) [input p17]
25. wise(fred) [i... | 0 |
Everyone who is not generous is not rich and vice versa. Everyone who is both old and happy is either wise or not creative. Everyone who is not tall or strong is either tall or wise and vice versa. If john is both not patient and not brave then alice is either not tall or not brave. Everyone who is both not generous an... | Paul is not curious. | neutral | (![X]:(~generous(X)<=>~rich(X)))&
(![X]:((old(X)&happy(X))=>(wise(X)<~>~creative(X))))&
(![X]:((~tall(X)|strong(X))<=>(tall(X)<~>wise(X))))&
(((~patient(john)&~brave(john)))=>((~tall(alice)<~>~brave(alice))))&
(![X]:((~generous(X)&kind(X))<=>(~happy(X)<~>rich(X))))&
((strong(susan))=>((~quiet(alice)&~old(alice))))&
(![... | ~curious(paul) | [] | null | 0 |
If fred is either generous or not creative then someone is both not happy and patient.
If alice is not kind then john is not patient.
If someone is both not tall and humble then john is both quiet and not quiet.
Everyone who is not calm is both calm and funny and vice versa.
If john is both not rich and happy then some... | Mary is calm. | entailment | (((generous(fred)<~>~creative(fred)))=>(?[X]:((~happy(X)&patient(X)))))&
((~kind(alice))=>(~patient(john)))&
((?[X]:((~tall(X)&humble(X))))=>((quiet(john)&~quiet(john))))&
(![X]:(~calm(X)<=>(calm(X)&funny(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((~funny(X)|~happy(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(generou... | calm(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8994015335543178317891566
% SZS output start Proof for 8994015335543178317891566
4. ! [X0] : (~calm(X0) <=> (funny(X0) & calm(X0))) [input p3]
21. ~calm(mary) [input hypothesis]
38. ! [X0] : ((~calm(X0) | (~funny(X0) | ~calm(X0))) & ((funny(X0) & calm(X0)) | calm(X0))) [nnf transformation... | 0 |
Everyone who is not quiet or calm is creative.
If alice is patient then alice is not creative.
Everyone who is both not quiet and curious is both old and curious and vice versa.
If someone is either wise or not generous then alice is not calm.
Everyone who is both tall and rich is not old and vice versa.
If someone is ... | Alice is not creative. | neutral | (![X]:((~quiet(X)|calm(X))=>creative(X)))&
((patient(alice))=>(~creative(alice)))&
(![X]:((~quiet(X)&curious(X))<=>(old(X)&curious(X))))&
((?[X]:((wise(X)<~>~generous(X))))=>(~calm(alice)))&
(![X]:((tall(X)&rich(X))<=>~old(X)))&
((?[X]:((generous(X)|tall(X))))=>((old(lucy)<~>~strong(lucy))))&
((?[X]:((tall(X)<~>funny(X... | ~creative(alice) | [] | null | 0 |
Everyone who is not happy or not creative is not curious or not strong and vice versa. If lucy is either happy or not brave then lucy is either not kind or generous and vice versa. Everyone who is old is both strong and kind and vice versa. Everyone who is both not strong and tall is patient or not strong and vice vers... | Alice is not old. | entailment | (![X]:((~happy(X)|~creative(X))<=>(~curious(X)|~strong(X))))&
(((happy(lucy)<~>~brave(lucy)))<=>((~kind(lucy)<~>generous(lucy))))&
(![X]:(old(X)<=>(strong(X)&kind(X))))&
(![X]:((~strong(X)&tall(X))<=>(patient(X)|~strong(X))))&
((?[X]:(strong(X)))=>((~quiet(mary)&curious(mary))))&
(((funny(paul)&~brave(paul)))=>((~creat... | ~old(alice) | [
"p0",
"p2",
"p4",
"p6",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3765813611964840869902828
% SZS output start Proof for 3765813611964840869902828
1. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (~strong(X0) | ~curious(X0))) [input p0]
3. ! [X0] : (old(X0) <=> (kind(X0) & strong(X0))) [input p2]
5. ? [X0] : strong(X0) => (curious(mary) & ~quiet(mary)) [in... | 0 |
If someone is kind or not old then someone is both not generous and happy.
Everyone who is not brave or creative is both not rich and not wise and vice versa.
If someone is either not patient or calm then someone is both happy and not calm.
Everyone who is kind or not happy is both wise and not old and vice versa.
If s... | Alice is not creative. | contradiction | ((?[X]:((kind(X)|~old(X))))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:((~brave(X)|creative(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((kind(X)|~happy(X))<=>(wise(X)&~old(X))))&
((?[X]:(~kind(X)))<=>((patient(alice)|~brave(alice))))&
(![X]:((~creative(X)|old(X))... | ~creative(alice) | [
"p1",
"p3",
"p4",
"p5",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3836762021096112987906978
% SZS output start Proof for 3836762021096112987906978
2. ! [X0] : ((creative(X0) | ~brave(X0)) <=> (~wise(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | kind(X0)) <=> (~old(X0) & wise(X0))) [input p3]
5. ? [X0] : ~kind(X0) <=> (~brave(alice) | patient(a... | 0 |
Everyone who is not tall or funny is both not strong and not generous.
If alice is not rich then john is either not wise or strong and vice versa.
Everyone who is strong is either old or not generous.
If alice is either creative or strong then paul is generous and vice versa.
Everyone who is both not calm and creative ... | John is not happy. | entailment | (![X]:((~tall(X)|funny(X))=>(~strong(X)&~generous(X))))&
((~rich(alice))<=>((~wise(john)<~>strong(john))))&
(![X]:(strong(X)=>(old(X)<~>~generous(X))))&
(((creative(alice)<~>strong(alice)))<=>(generous(paul)))&
(![X]:((~calm(X)&creative(X))<=>(~brave(X)&calm(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(~kind(X)<~>~str... | ~happy(john) | [
"p4",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3015250318324735725394656
% SZS output start Proof for 3015250318324735725394656
5. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (calm(X0) & ~brave(X0))) [input p4]
7. ? [X0] : (brave(X0) | funny(X0)) <=> ? [X0] : ~tall(X0) [input p6]
11. ! [X0] : (~tall(X0) => (~brave(X0) & tall(X0))) [input... | 0 |
Everyone who is both patient and not patient is kind.
If someone is either not brave or not funny then someone is either not kind or quiet and vice versa.
Everyone who is either not creative or curious is not humble and vice versa.
Everyone who is quiet or not quiet is both quiet and strong.
If paul is either patient o... | Mary is calm. | contradiction | (![X]:((patient(X)&~patient(X))=>kind(X)))&
((?[X]:((~brave(X)<~>~funny(X))))<=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~creative(X)<~>curious(X))<=>~humble(X)))&
(![X]:((quiet(X)|~quiet(X))=>(quiet(X)&strong(X))))&
(((patient(paul)<~>curious(paul)))<=>((~generous(paul)<~>~brave(paul))))&
(![X]:((generous(X)|~generous... | calm(mary) | [
"p1",
"p2",
"p3",
"p5",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 814609575510205309243719
% SZS output start Proof for 814609575510205309243719
2. ? [X0] : (~brave(X0) <~> ~funny(X0)) <=> ? [X0] : (~kind(X0) <~> quiet(X0)) [input p1]
3. ! [X0] : ((~creative(X0) <~> curious(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) | quiet(X0)) => (stron... | 0 |
If someone is either rich or humble then john is either strong or not rich.
Everyone who is quiet is calm.
If mary is either not calm or not generous then someone is not old or quiet.
Everyone who is either happy or not calm is old and vice versa.
If someone is either patient or not happy then someone is tall and vice ... | John is not calm. | contradiction | ((?[X]:((rich(X)<~>humble(X))))=>((strong(john)<~>~rich(john))))&
(![X]:(quiet(X)=>calm(X)))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:((~old(X)|quiet(X)))))&
(![X]:((happy(X)<~>~calm(X))<=>old(X)))&
((?[X]:((patient(X)<~>~happy(X))))<=>(?[X]:(tall(X))))&
(![X]:((humble(X)<~>~creative(X))<=>~wise(X)))&
(![X]:((~funny(... | ~calm(john) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 685100877160012225487738
% SZS output start Proof for 685100877160012225487738
2. ! [X0] : (quiet(X0) => calm(X0)) [input p1]
22. quiet(john) & ~wise(john) [input p21]
25. ~calm(john) [input hypothesis]
30. ! [X0] : (calm(X0) | ~quiet(X0)) [ennf transformation 2]
81. ~quiet(X0) | calm(X0)... | 0 |
Everyone who is either strong or not tall is either not tall or patient and vice versa. If someone is not patient or not curious then fred is not creative or not funny. Everyone who is humble or not tall is patient and vice versa. Everyone who is both quiet and not kind is either not happy or not quiet. Everyone who is... | Susan is not wise. | entailment | (![X]:((strong(X)<~>~tall(X))<=>(~tall(X)<~>patient(X))))&
((?[X]:((~patient(X)|~curious(X))))=>((~creative(fred)|~funny(fred))))&
(![X]:((humble(X)|~tall(X))<=>patient(X)))&
(![X]:((quiet(X)&~kind(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:(~brave(X)<=>(~kind(X)<~>kind(X))))&
(![X]:((~brave(X)&~generous(X))=>(~funny(X)|bra... | ~wise(susan) | [
"p0",
"p2",
"p3",
"p4",
"p8",
"p11",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6895553174691692077106198
% SZS output start Proof for 6895553174691692077106198
1. ! [X0] : ((strong(X0) <~> ~tall(X0)) <=> (~tall(X0) <~> patient(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | humble(X0)) <=> patient(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & quiet(X0)) => (~happy(X0) <~> ~q... | 0 |
If lucy is curious or not humble then paul is not humble or old and vice versa.
If lucy is both not curious and not rich then mary is not funny or humble.
Everyone who is not curious or rich is both strong and not tall and vice versa.
Everyone who is creative or not brave is either not funny or not brave.
Everyone who ... | Mary is not funny. | neutral | (((curious(lucy)|~humble(lucy)))<=>((~humble(paul)|old(paul))))&
(((~curious(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
(![X]:((~curious(X)|rich(X))<=>(strong(X)&~tall(X))))&
(![X]:((creative(X)|~brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:(~old(X)=>(~brave(X)<~>funny(X))))&
((strong(susan))<=>((humble(lucy)<... | ~funny(mary) | [] | null | 0 |
If paul is not tall then someone is not patient. If someone is not creative then someone is either not curious or quiet. If someone is either happy or not brave then someone is both happy and creative and vice versa. Everyone who is not rich is either not rich or curious and vice versa. Everyone who is not curious is n... | Paul is funny. | neutral | ((~tall(paul))=>(?[X]:(~patient(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)<~>~brave(X))))<=>(?[X]:((happy(X)&creative(X)))))&
(![X]:(~rich(X)<=>(~rich(X)<~>curious(X))))&
(![X]:(~curious(X)<=>~happy(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((happy(X)&pati... | funny(paul) | [] | null | 0 |
Everyone who is both not wise and creative is patient.
Everyone who is quiet is both not generous and tall and vice versa.
If alice is not creative then someone is both kind and quiet and vice versa.
If someone is not funny or not creative then someone is both not curious and not generous.
If someone is wise or not kin... | Alice is quiet. | contradiction | (![X]:((~wise(X)&creative(X))=>patient(X)))&
(![X]:(quiet(X)<=>(~generous(X)&tall(X))))&
((~creative(alice))<=>(?[X]:((kind(X)&quiet(X)))))&
((?[X]:((~funny(X)|~creative(X))))=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((wise(X)|~kind(X))))<=>((~funny(alice)<~>~humble(alice))))&
(![X]:(~strong(X)=>brave(X)))&
(![X]:... | quiet(alice) | [
"p1",
"p4",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1186612525495817613177138
% SZS output start Proof for 1186612525495817613177138
2. ! [X0] : (quiet(X0) <=> (tall(X0) & ~generous(X0))) [input p1]
5. ? [X0] : (~kind(X0) | wise(X0)) <=> (~funny(alice) <~> ~humble(alice)) [input p4]
11. ! [X0] : ((~curious(X0) & funny(X0)) <=> (tall(X0) | ... | 0 |
If someone is wise then someone is not quiet and vice versa.
Everyone who is either creative or not wise is not funny and vice versa.
Everyone who is both calm and quiet is not quiet.
If alice is old then someone is not wise or not kind and vice versa.
Everyone who is not happy is not rich.
If someone is not patient th... | Mary is tall. | entailment | ((?[X]:(wise(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)<~>~wise(X))<=>~funny(X)))&
(![X]:((calm(X)&quiet(X))=>~quiet(X)))&
((old(alice))<=>(?[X]:((~wise(X)|~kind(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:(~generous(X)<=>(generous(X)|happy(X))))&
(![X]:((r... | tall(mary) | [
"p3",
"p6",
"p9",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7211769691306774475710520
% SZS output start Proof for 7211769691306774475710520
4. old(alice) <=> ? [X0] : (~kind(X0) | ~wise(X0)) [input p3]
7. ! [X0] : (~generous(X0) <=> (happy(X0) | generous(X0))) [input p6]
10. ? [X0] : (generous(X0) | ~tall(X0)) <=> (kind(alice) | ~humble(alice)) [... | 0 |
If someone is both calm and not kind then someone is not patient or rich and vice versa.
If someone is not generous or not wise then mary is either quiet or not humble and vice versa.
If someone is both not calm and not happy then someone is either not humble or not curious and vice versa.
If alice is not humble or not... | Lucy is curious. | entailment | ((?[X]:((calm(X)&~kind(X))))<=>(?[X]:((~patient(X)|rich(X)))))&
((?[X]:((~generous(X)|~wise(X))))<=>((quiet(mary)<~>~humble(mary))))&
((?[X]:((~calm(X)&~happy(X))))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(((~humble(alice)|~strong(alice)))<=>((calm(paul)<~>~funny(paul))))&
(![X]:((~generous(X)|rich(X))<=>(happy(X)&gene... | curious(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1630724018522520646657891
% SZS output start Proof for 1630724018522520646657891
5. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (generous(X0) & happy(X0))) [input p4]
12. ? [X0] : ~curious(X0) => ? [X0] : (~generous(X0) & ~strong(X0)) [input p11]
25. ~curious(lucy) [input hypothesis]
28. ? [... | 0 |
Everyone who is generous is either tall or happy. If john is either not tall or happy then alice is both not old and patient. If someone is either funny or old then paul is not strong or not creative. Everyone who is both old and not tall is wise. Everyone who is both brave and creative is either happy or not humble. E... | Paul is not humble. | contradiction | (![X]:(generous(X)=>(tall(X)<~>happy(X))))&
(((~tall(john)<~>happy(john)))=>((~old(alice)&patient(alice))))&
((?[X]:((funny(X)<~>old(X))))=>((~strong(paul)|~creative(paul))))&
(![X]:((old(X)&~tall(X))=>wise(X)))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&... | ~humble(paul) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5942217953673534098812179
% SZS output start Proof for 5942217953673534098812179
1. ! [X0] : (generous(X0) => (tall(X0) <~> happy(X0))) [input p0]
5. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))... | 0 |
Everyone who is not rich is not brave or strong.
If someone is not brave then lucy is either not kind or not strong.
Everyone who is not humble is both not curious and not old.
If someone is both tall and not brave then someone is both wise and rich and vice versa.
Everyone who is not quiet or not wise is both curious ... | John is tall. | entailment | (![X]:(~rich(X)=>(~brave(X)|strong(X))))&
((?[X]:(~brave(X)))=>((~kind(lucy)<~>~strong(lucy))))&
(![X]:(~humble(X)=>(~curious(X)&~old(X))))&
((?[X]:((tall(X)&~brave(X))))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((~quiet(X)|~wise(X))=>(curious(X)&~old(X))))&
(((~generous(mary)|~strong(mary)))<=>(?[X]:((~old(X)&~funny(X))))... | tall(john) | [
"p2",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5551190794834168378799021
% SZS output start Proof for 5551190794834168378799021
3. ! [X0] : (~humble(X0) => (~old(X0) & ~curious(X0))) [input p2]
8. ! [X0] : (humble(X0) => (~tall(X0) <~> humble(X0))) [input p7]
13. ! [X0] : (~curious(X0) => ~rich(X0)) [input p12]
14. ! [X0] : ((~funny(X... | 0 |
Everyone who is not humble or calm is both old and patient and vice versa.
If someone is not strong then someone is either not generous or quiet and vice versa.
Everyone who is not generous or patient is tall or not strong and vice versa.
Everyone who is quiet or not strong is not funny.
Everyone who is either brave or... | Alice is humble. | entailment | (![X]:((~humble(X)|calm(X))<=>(old(X)&patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:((~generous(X)|patient(X))<=>(tall(X)|~strong(X))))&
(![X]:((quiet(X)|~strong(X))=>~funny(X)))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)|~calm(X))))&
(((quiet(lucy)&generous(lucy)))<=>(?[X]:(~brave(X... | humble(alice) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8564016928768267449419505
% SZS output start Proof for 8564016928768267449419505
1. ! [X0] : ((calm(X0) | ~humble(X0)) <=> (patient(X0) & old(X0))) [input p0]
3. ! [X0] : ((patient(X0) | ~generous(X0)) <=> (~strong(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => ~fun... | 0 |
If susan is either not patient or curious then susan is both patient and not happy and vice versa.
Everyone who is not calm is both calm and generous and vice versa.
Everyone who is not strong is not quiet and vice versa.
If someone is both not funny and strong then someone is not kind.
If someone is brave or not gener... | Paul is calm. | entailment | (((~patient(susan)<~>curious(susan)))<=>((patient(susan)&~happy(susan))))&
(![X]:(~calm(X)<=>(calm(X)&generous(X))))&
(![X]:(~strong(X)<=>~quiet(X)))&
((?[X]:((~funny(X)&strong(X))))=>(?[X]:(~kind(X))))&
((?[X]:((brave(X)|~generous(X))))=>(?[X]:(~old(X))))&
((?[X]:((~old(X)|kind(X))))<=>(?[X]:((~brave(X)<~>patient(X)))... | calm(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2082439385883580339451221
% SZS output start Proof for 2082439385883580339451221
2. ! [X0] : (~calm(X0) <=> (generous(X0) & calm(X0))) [input p1]
25. ~calm(paul) [input hypothesis]
41. ! [X0] : ((~calm(X0) | (~generous(X0) | ~calm(X0))) & ((generous(X0) & calm(X0)) | calm(X0))) [nnf trans... | 0 |
Everyone who is either not generous or not creative is both not quiet and not strong.
Everyone who is kind is either not patient or rich.
Everyone who is both not funny and quiet is either not humble or not curious and vice versa.
Everyone who is either not brave or rich is not wise and vice versa.
Everyone who is not ... | Fred is wise. | entailment | (![X]:((~generous(X)<~>~creative(X))=>(~quiet(X)&~strong(X))))&
(![X]:(kind(X)=>(~patient(X)<~>rich(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((~brave(X)<~>rich(X))<=>~wise(X)))&
(![X]:((~rich(X)|happy(X))<=>(~old(X)|brave(X))))&
(((~creative(susan)|brave(susan)))<=>((happy(alice)<~>humbl... | wise(fred) | [
"p2",
"p7",
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5289793305633863464736595
% SZS output start Proof for 5289793305633863464736595
3. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (~humble(X0) <~> ~curious(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~creative(X0)) => wise(X0)) [input p7]
11. ! [X0] : (~curious(X0) <=> (happy(X0) | wise(X0))) [i... | 0 |
Everyone who is either generous or not generous is both not quiet and generous.
If someone is either old or not old then someone is either happy or wise.
If someone is either patient or generous then someone is not tall and vice versa.
Everyone who is not old or calm is generous and vice versa.
Everyone who is not brav... | Lucy is generous. | entailment | (![X]:((generous(X)<~>~generous(X))=>(~quiet(X)&generous(X))))&
((?[X]:((old(X)<~>~old(X))))=>(?[X]:((happy(X)<~>wise(X)))))&
((?[X]:((patient(X)<~>generous(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~old(X)|calm(X))<=>generous(X)))&
(![X]:((~brave(X)|tall(X))=>~patient(X)))&
((?[X]:((funny(X)<~>wise(X))))<=>(~quiet(paul)))&
... | generous(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 855004878642467585711511
% SZS output start Proof for 855004878642467585711511
1. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (generous(X0) & ~quiet(X0))) [input p0]
24. ~generous(lucy) [input hypothesis]
30. ! [X0] : ((generous(X0) & ~quiet(X0)) | (generous(X0) <=> ~generous(X0))) [enn... | 0 |
If someone is either not quiet or wise then someone is not old or strong.
If someone is not tall or not rich then paul is patient or not humble and vice versa.
Everyone who is either brave or not humble is brave or rich and vice versa.
Everyone who is strong or not kind is not curious or not rich and vice versa.
Everyo... | Paul is not curious. | entailment | ((?[X]:((~quiet(X)<~>wise(X))))=>(?[X]:((~old(X)|strong(X)))))&
((?[X]:((~tall(X)|~rich(X))))<=>((patient(paul)|~humble(paul))))&
(![X]:((brave(X)<~>~humble(X))<=>(brave(X)|rich(X))))&
(![X]:((strong(X)|~kind(X))<=>(~curious(X)|~rich(X))))&
(![X]:((brave(X)&old(X))<=>(old(X)<~>~quiet(X))))&
(((~old(fred)<~>~calm(fred))... | ~curious(paul) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"p14",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8937303328194662860478543
% SZS output start Proof for 8937303328194662860478543
2. ? [X0] : (~rich(X0) | ~tall(X0)) <=> (~humble(paul) | patient(paul)) [input p1]
3. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (rich(X0) | brave(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | strong(X0)) <=> (~r... | 0 |
Everyone who is not quiet is either curious or not brave.
If paul is either not generous or not old then someone is funny and vice versa.
If someone is not creative then someone is not wise and vice versa.
If lucy is either not kind or not happy then john is not happy or not old.
Everyone who is both not curious and ol... | Alice is not curious. | neutral | (![X]:(~quiet(X)=>(curious(X)<~>~brave(X))))&
(((~generous(paul)<~>~old(paul)))<=>(?[X]:(funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~wise(X))))&
(((~kind(lucy)<~>~happy(lucy)))=>((~happy(john)|~old(john))))&
(![X]:((~curious(X)&old(X))<=>kind(X)))&
(![X]:((quiet(X)|calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>calm(X)... | ~curious(alice) | [] | null | 0 |
Everyone who is not generous is not strong or calm.
Everyone who is either not kind or old is either not creative or not rich.
Everyone who is wise or calm is both not humble and not generous and vice versa.
Everyone who is either not strong or funny is tall or patient and vice versa.
Everyone who is not funny or not g... | Paul is calm. | contradiction | (![X]:(~generous(X)=>(~strong(X)|calm(X))))&
(![X]:((~kind(X)<~>old(X))=>(~creative(X)<~>~rich(X))))&
(![X]:((wise(X)|calm(X))<=>(~humble(X)&~generous(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(tall(X)|patient(X))))&
(![X]:((~funny(X)|~generous(X))<=>(~tall(X)&patient(X))))&
((?[X]:((~funny(X)<~>funny(X))))<=>(~rich(john... | calm(paul) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8203919323610611586390982
% SZS output start Proof for 8203919323610611586390982
3. ! [X0] : ((calm(X0) | wise(X0)) <=> (~generous(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> (patient(X0) & ~tall(X0))) [input p4]
8. ! [X0] : ((tall(X0) <~> ~tall(X0)) => ge... | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is both not funny and strong is either patient or kind.
Everyone who is both funny and happy is strong or happy and vice versa.
If someone is both funny and patient then paul is old.
Everyone who is not tall is both not calm and not happy.
... | Mary is not creative. | neutral | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~funny(X)&strong(X))=>(patient(X)<~>kind(X))))&
(![X]:((funny(X)&happy(X))<=>(strong(X)|happy(X))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patient(X))))=>(?[X]:((~tall(X)<~>humble(X)))))&
(![X]:... | ~creative(mary) | [] | null | 0 |
Everyone who is wise or calm is both not quiet and not kind.
Everyone who is either wise or not tall is not patient or not generous.
Everyone who is kind is either not funny or not curious.
Everyone who is both not wise and not old is either generous or not rich.
Everyone who is either kind or calm is not curious and v... | John is not creative. | neutral | (![X]:((wise(X)|calm(X))=>(~quiet(X)&~kind(X))))&
(![X]:((wise(X)<~>~tall(X))=>(~patient(X)|~generous(X))))&
(![X]:(kind(X)=>(~funny(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(generous(X)<~>~rich(X))))&
(![X]:((kind(X)<~>calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>(~wise(X)<~>humble(X))))&
((kind(mary))<=>((tall... | ~creative(john) | [] | null | 0 |
If someone is either humble or wise then mary is either old or calm and vice versa.
If someone is tall or not brave then someone is not tall or not rich and vice versa.
Everyone who is either not wise or not calm is either not brave or wise and vice versa.
If someone is tall or not creative then john is both curious an... | Paul is kind. | neutral | ((?[X]:((humble(X)<~>wise(X))))<=>((old(mary)<~>calm(mary))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[X]:((~tall(X)|~rich(X)))))&
(![X]:((~wise(X)<~>~calm(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((tall(X)|~creative(X))))<=>((curious(john)&~creative(john))))&
(![X]:((~old(X)|funny(X))=>~wise(X)))&
(![X]:((~humble(X)<~>rich(X)... | kind(paul) | [] | null | 0 |
If someone is either curious or not rich then john is tall and vice versa.
If john is both tall and calm then john is not quiet or not patient.
Everyone who is both not tall and brave is not old or not humble and vice versa.
Everyone who is both rich and wise is tall and vice versa.
If alice is both not strong and tall... | Paul is not creative. | neutral | ((?[X]:((curious(X)<~>~rich(X))))<=>(tall(john)))&
(((tall(john)&calm(john)))=>((~quiet(john)|~patient(john))))&
(![X]:((~tall(X)&brave(X))<=>(~old(X)|~humble(X))))&
(![X]:((rich(X)&wise(X))<=>tall(X)))&
(((~strong(alice)&tall(alice)))<=>((~calm(paul)<~>creative(paul))))&
(![X]:((curious(X)|~curious(X))=>(~tall(X)|~str... | ~creative(paul) | [] | null | 0 |
If lucy is quiet then someone is both not tall and not generous.
Everyone who is humble or not funny is both not humble and quiet and vice versa.
Everyone who is either old or not curious is both quiet and not rich.
If mary is either quiet or patient then someone is strong or wise.
Everyone who is humble or curious is ... | Mary is patient. | entailment | ((quiet(lucy))=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~humble(X)&quiet(X))))&
(![X]:((old(X)<~>~curious(X))=>(quiet(X)&~rich(X))))&
(((quiet(mary)<~>patient(mary)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((humble(X)|curious(X))<=>(strong(X)|~funny(X))))&
(![X]:((old(X)|~brave(X))<=>(funny(X)... | patient(mary) | [
"p1",
"p2",
"p5",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2478025398390161904334586
% SZS output start Proof for 2478025398390161904334586
2. ! [X0] : ((~funny(X0) | humble(X0)) <=> (quiet(X0) & ~humble(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~curious(X0)) => (~rich(X0) & quiet(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | old(X0)) <=> (~kind(X... | 0 |
Everyone who is both not strong and old is not tall.
Everyone who is humble or generous is not old and vice versa.
If someone is not curious then paul is calm.
If mary is either rich or not quiet then alice is either wise or humble.
Everyone who is not tall or not generous is not curious or quiet.
If someone is tall th... | Alice is not tall. | entailment | (![X]:((~strong(X)&old(X))=>~tall(X)))&
(![X]:((humble(X)|generous(X))<=>~old(X)))&
((?[X]:(~curious(X)))=>(calm(paul)))&
(((rich(mary)<~>~quiet(mary)))=>((wise(alice)<~>humble(alice))))&
(![X]:((~tall(X)|~generous(X))=>(~curious(X)|quiet(X))))&
((?[X]:(tall(X)))<=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((old(X)<~>~str... | ~tall(alice) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1273120668925055476332208
% SZS output start Proof for 1273120668925055476332208
12. ? [X0] : (rich(X0) <~> ~rich(X0)) <=> wise(john) [input p11]
14. (~tall(alice) & ~funny(alice)) <=> ? [X0] : humble(X0) [input p13]
16. ? [X0] : wise(X0) => (humble(john) & kind(john)) [input p15]
24. tal... | 0 |
Everyone who is funny is both not quiet and curious. If fred is not quiet or not kind then someone is both happy and creative and vice versa. If susan is both strong and not patient then someone is either curious or quiet. Everyone who is creative is funny. Everyone who is not brave is either brave or not happy and vic... | Paul is quiet. | neutral | (![X]:(funny(X)=>(~quiet(X)&curious(X))))&
(((~quiet(fred)|~kind(fred)))<=>(?[X]:((happy(X)&creative(X)))))&
(((strong(susan)&~patient(susan)))=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:(creative(X)=>funny(X)))&
(![X]:(~brave(X)<=>(brave(X)<~>~happy(X))))&
(![X]:(~old(X)=>(generous(X)<~>~patient(X))))&
(((patient(lucy)... | quiet(paul) | [] | null | 0 |
If lucy is either not quiet or not kind then someone is either happy or not creative and vice versa.
Everyone who is both not strong and creative is both not rich and not curious.
If susan is either not tall or creative then someone is either old or not rich and vice versa.
If john is generous or not quiet then fred is... | Lucy is not happy. | neutral | (((~quiet(lucy)<~>~kind(lucy)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:((~strong(X)&creative(X))=>(~rich(X)&~curious(X))))&
(((~tall(susan)<~>creative(susan)))<=>(?[X]:((old(X)<~>~rich(X)))))&
(((generous(john)|~quiet(john)))<=>(~funny(fred)))&
(((~kind(john)&~creative(john)))=>(kind(john)))&
(((rich(paul)<~>brav... | ~happy(lucy) | [] | null | 0 |
Everyone who is not humble or curious is either wise or not kind and vice versa.
Everyone who is both not tall and curious is both not rich and not strong.
Everyone who is either not patient or not creative is either not happy or not wise.
Everyone who is not kind or not patient is either not old or not wise and vice v... | Mary is kind. | contradiction | (![X]:((~humble(X)|curious(X))<=>(wise(X)<~>~kind(X))))&
(![X]:((~tall(X)&curious(X))=>(~rich(X)&~strong(X))))&
(![X]:((~patient(X)<~>~creative(X))=>(~happy(X)<~>~wise(X))))&
(![X]:((~kind(X)|~patient(X))<=>(~old(X)<~>~wise(X))))&
(((~calm(alice)<~>strong(alice)))<=>(?[X]:((funny(X)&~generous(X)))))&
((?[X]:(~funny(X))... | kind(mary) | [
"p2",
"p3",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3123553882685939738354184
% SZS output start Proof for 3123553882685939738354184
3. ! [X0] : ((~patient(X0) <~> ~creative(X0)) => (~happy(X0) <~> ~wise(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (~old(X0) <~> ~wise(X0))) [input p3]
9. ! [X0] : (~patient(X0) => old(X0)) [... | 0 |
Everyone who is both not quiet and generous is either tall or humble and vice versa.
Everyone who is not generous is both rich and not happy and vice versa.
Everyone who is old is funny.
Everyone who is both wise and brave is both not generous and not curious and vice versa.
If lucy is both strong and tall then someone... | Susan is not old. | neutral | (![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>humble(X))))&
(![X]:(~generous(X)<=>(rich(X)&~happy(X))))&
(![X]:(old(X)=>funny(X)))&
(![X]:((wise(X)&brave(X))<=>(~generous(X)&~curious(X))))&
(((strong(lucy)&tall(lucy)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(rich(X)<=>(strong(X)<~>old(X))))&
((?[X]:(patient(X)))<=>(... | ~old(susan) | [] | null | 0 |
Everyone who is not patient is either not humble or funny and vice versa.
Everyone who is wise is both not tall and not brave and vice versa.
Everyone who is not brave is either brave or not calm and vice versa.
Everyone who is not generous is generous.
If someone is quiet then someone is curious and vice versa.
Everyo... | Mary is not wise. | entailment | (![X]:(~patient(X)<=>(~humble(X)<~>funny(X))))&
(![X]:(wise(X)<=>(~tall(X)&~brave(X))))&
(![X]:(~brave(X)<=>(brave(X)<~>~calm(X))))&
(![X]:(~generous(X)=>generous(X)))&
((?[X]:(quiet(X)))<=>(?[X]:(curious(X))))&
(![X]:((~humble(X)&strong(X))<=>(~funny(X)&funny(X))))&
(((~quiet(mary)<~>~generous(mary)))<=>((~funny(susan... | ~wise(mary) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7222862952151100933825360
% SZS output start Proof for 7222862952151100933825360
2. ! [X0] : (wise(X0) <=> (~brave(X0) & ~tall(X0))) [input p1]
3. ! [X0] : (~brave(X0) <=> (brave(X0) <~> ~calm(X0))) [input p2]
8. ! [X0] : (~calm(X0) => (tall(X0) & ~humble(X0))) [input p7]
21. wise(mary) [... | 0 |
Everyone who is not creative is both not generous and not curious. Everyone who is both humble and not strong is both not happy and not funny. If someone is brave or funny then someone is not curious and vice versa. Everyone who is either not happy or calm is both generous and not generous and vice versa. If susan is n... | Paul is not quiet. | neutral | (![X]:(~creative(X)=>(~generous(X)&~curious(X))))&
(![X]:((humble(X)&~strong(X))=>(~happy(X)&~funny(X))))&
((?[X]:((brave(X)|funny(X))))<=>(?[X]:(~curious(X))))&
(![X]:((~happy(X)<~>calm(X))<=>(generous(X)&~generous(X))))&
((~patient(susan))<=>((~humble(fred)<~>funny(fred))))&
((?[X]:(~wise(X)))<=>(?[X]:(funny(X))))&
(... | ~quiet(paul) | [] | null | 0 |
If mary is both kind and strong then someone is funny and vice versa. Everyone who is not humble or kind is not funny or not quiet and vice versa. Everyone who is either not quiet or not humble is not funny. If someone is either not tall or calm then susan is wise or generous. If someone is not creative or not kind the... | John is not creative. | entailment | (((kind(mary)&strong(mary)))<=>(?[X]:(funny(X))))&
(![X]:((~humble(X)|kind(X))<=>(~funny(X)|~quiet(X))))&
(![X]:((~quiet(X)<~>~humble(X))=>~funny(X)))&
((?[X]:((~tall(X)<~>calm(X))))=>((wise(susan)|generous(susan))))&
((?[X]:((~creative(X)|~kind(X))))<=>(~humble(susan)))&
(![X]:((~calm(X)<~>~generous(X))<=>(~old(X)|cur... | ~creative(john) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 611966995040975903984775
% SZS output start Proof for 611966995040975903984775
22. ~strong(john) & ~creative(john) [input p21]
25. creative(john) [input hypothesis]
140. ~creative(john) [cnf transformation 22]
145. creative(john) [cnf transformation 25]
298. 35 <=> creative(john) [avatar ... | 0 |
Everyone who is quiet is generous or not old.
If someone is both not generous and not wise then someone is old or not curious.
If someone is either funny or not old then john is both humble and not wise.
Everyone who is brave is both not tall and calm and vice versa.
Everyone who is not quiet is not patient and vice ve... | Alice is kind. | neutral | (![X]:(quiet(X)=>(generous(X)|~old(X))))&
((?[X]:((~generous(X)&~wise(X))))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((funny(X)<~>~old(X))))=>((humble(john)&~wise(john))))&
(![X]:(brave(X)<=>(~tall(X)&calm(X))))&
(![X]:(~quiet(X)<=>~patient(X)))&
(![X]:((~generous(X)<~>~kind(X))=>(strong(X)<~>~rich(X))))&
((?[X]:(~quiet... | kind(alice) | [] | null | 0 |
Everyone who is both patient and not funny is either calm or kind.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is either not tall or patient.
If john is both not curious and not happy then someone is not calm or strong and vice versa.
Everyone who is either not tall or p... | Mary is rich. | contradiction | (![X]:((patient(X)&~funny(X))=>(calm(X)<~>kind(X))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~calm(X)|strong(X)))))&
(![X]:((~tall(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)<=>(curious(X)|rich(X))))&
((?[X]:((~... | rich(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4596450111819861650186148
% SZS output start Proof for 4596450111819861650186148
1. ! [X0] : ((~funny(X0) & patient(X0)) => (calm(X0) <~> kind(X0))) [input p0]
2. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p1]
3. ? [X0] : tall(X0) => (~tall(lucy) <~> patient(lu... | 0 |
If paul is either not curious or patient then fred is either humble or not happy. Everyone who is not curious is either not strong or happy. If someone is both not calm and creative then paul is either not funny or not curious. Everyone who is both not tall and old is not funny or not curious. Everyone who is both not ... | Alice is not funny. | contradiction | (((~curious(paul)<~>patient(paul)))=>((humble(fred)<~>~happy(fred))))&
(![X]:(~curious(X)=>(~strong(X)<~>happy(X))))&
((?[X]:((~calm(X)&creative(X))))=>((~funny(paul)<~>~curious(paul))))&
(![X]:((~tall(X)&old(X))=>(~funny(X)|~curious(X))))&
(![X]:((~brave(X)&~quiet(X))<=>~wise(X)))&
((?[X]:((wise(X)&~funny(X))))=>((~fu... | ~funny(alice) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p9",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 36742634134502099581493
% SZS output start Proof for 36742634134502099581493
2. ! [X0] : (~curious(X0) => (~strong(X0) <~> happy(X0))) [input p1]
5. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> ~wise(X0)) [input p4]
7. ! [X0] : ((~funny(X0) <~> ~generous(X0)) <=> brave(X0)) [input p6]
8. ! [X0... | 0 |
Everyone who is brave or not wise is either happy or patient and vice versa.
Everyone who is not creative or old is both humble and calm.
If susan is both not humble and not wise then john is rich.
Everyone who is strong or humble is old or not humble and vice versa.
If someone is tall then lucy is both brave and not p... | Susan is not kind. | neutral | (![X]:((brave(X)|~wise(X))<=>(happy(X)<~>patient(X))))&
(![X]:((~creative(X)|old(X))=>(humble(X)&calm(X))))&
(((~humble(susan)&~wise(susan)))=>(rich(john)))&
(![X]:((strong(X)|humble(X))<=>(old(X)|~humble(X))))&
((?[X]:(tall(X)))<=>((brave(lucy)&~patient(lucy))))&
(((creative(lucy)&calm(lucy)))<=>(?[X]:((~old(X)<~>humb... | ~kind(susan) | [] | null | 0 |
If susan is either humble or not funny then paul is strong or brave and vice versa. If someone is either not strong or not quiet then john is both calm and not tall. If someone is either curious or not wise then someone is not tall or not creative. If someone is not humble or curious then alice is either strong or not ... | John is not old. | entailment | (((humble(susan)<~>~funny(susan)))<=>((strong(paul)|brave(paul))))&
((?[X]:((~strong(X)<~>~quiet(X))))=>((calm(john)&~tall(john))))&
((?[X]:((curious(X)<~>~wise(X))))=>(?[X]:((~tall(X)|~creative(X)))))&
((?[X]:((~humble(X)|curious(X))))<=>((strong(alice)<~>~funny(alice))))&
(![X]:((humble(X)|~brave(X))<=>(~wise(X)|~fun... | ~old(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2845075765235014219829643
% SZS output start Proof for 2845075765235014219829643
7. ? [X0] : (old(X0) | ~kind(X0)) <=> ? [X0] : (creative(X0) & ~creative(X0)) [input p6]
25. old(john) [input hypothesis]
27. ? [X0] : (old(X0) | ~kind(X0)) <=> ? [X1] : (creative(X1) & ~creative(X1)) [rectif... | 0 |
If someone is either wise or not creative then mary is funny or not patient.
If mary is not patient then paul is both funny and not happy and vice versa.
Everyone who is not patient or funny is both wise and not funny and vice versa.
If someone is brave or not funny then someone is kind and vice versa.
Everyone who is ... | Susan is not strong. | neutral | ((?[X]:((wise(X)<~>~creative(X))))=>((funny(mary)|~patient(mary))))&
((~patient(mary))<=>((funny(paul)&~happy(paul))))&
(![X]:((~patient(X)|funny(X))<=>(wise(X)&~funny(X))))&
((?[X]:((brave(X)|~funny(X))))<=>(?[X]:(kind(X))))&
(![X]:((old(X)<~>~patient(X))=>(~humble(X)&~funny(X))))&
(![X]:((happy(X)|~generous(X))=>tall... | ~strong(susan) | [] | null | 0 |
Everyone who is either not rich or humble is either not brave or not funny and vice versa.
Everyone who is not kind or not funny is old or funny and vice versa.
If someone is funny then someone is either curious or not kind.
Everyone who is not strong or not funny is either not creative or tall and vice versa.
Everyone... | John is not humble. | neutral | (![X]:((~rich(X)<~>humble(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)|~funny(X))<=>(old(X)|funny(X))))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~kind(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((~tall(X)|patient(X))<=>(tall(X)&~calm(X))))&
(![X]:((~strong(X)<~>old(X))<=>(~tall(X)<~... | ~humble(john) | [] | null | 0 |
If someone is not patient then someone is not calm or wise and vice versa.
Everyone who is both generous and not rich is not patient or wise and vice versa.
If someone is both not generous and creative then someone is generous or happy and vice versa.
Everyone who is not quiet or not kind is either quiet or tall.
Every... | Alice is not quiet. | contradiction | ((?[X]:(~patient(X)))<=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((generous(X)&~rich(X))<=>(~patient(X)|wise(X))))&
((?[X]:((~generous(X)&creative(X))))<=>(?[X]:((generous(X)|happy(X)))))&
(![X]:((~quiet(X)|~kind(X))=>(quiet(X)<~>tall(X))))&
(![X]:((creative(X)|strong(X))=>patient(X)))&
((happy(alice))<=>(?[X]:((~curious(X)... | ~quiet(alice) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 212434109591741340194190
% SZS output start Proof for 212434109591741340194190
7. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p6]
17. ~quiet(alice) <~> ~generous(alice) [input p16]
25. ~quiet(alice) [input hypothesis]
35. ! [X0] : (~generous(X0) | quiet(X0)) [ennf transformation 7]
76. ... | 0 |
Everyone who is not kind or generous is brave or not calm and vice versa.
Everyone who is both not curious and kind is not patient and vice versa.
Everyone who is both curious and old is both happy and kind.
If someone is both not old and not kind then mary is both not generous and not strong and vice versa.
Everyone w... | Paul is old. | entailment | (![X]:((~kind(X)|generous(X))<=>(brave(X)|~calm(X))))&
(![X]:((~curious(X)&kind(X))<=>~patient(X)))&
(![X]:((curious(X)&old(X))=>(happy(X)&kind(X))))&
((?[X]:((~old(X)&~kind(X))))<=>((~generous(mary)&~strong(mary))))&
(![X]:((patient(X)|~calm(X))<=>~brave(X)))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~calm(X)|~old... | old(paul) | [
"p1",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4507379393599517985836897
% SZS output start Proof for 4507379393599517985836897
2. ! [X0] : ((kind(X0) & ~curious(X0)) <=> ~patient(X0)) [input p1]
13. ? [X0] : (~funny(X0) <~> ~old(X0)) <=> (old(paul) & ~patient(paul)) [input p12]
14. ! [X0] : (creative(X0) <=> (~kind(X0) | ~curious(X0)... | 0 |
Everyone who is not old is not patient or patient and vice versa.
If john is both not strong and not wise then someone is both curious and brave and vice versa.
If john is quiet then someone is both not quiet and funny and vice versa.
Everyone who is tall is either not brave or quiet and vice versa.
If fred is generous... | Paul is not funny. | entailment | (![X]:(~old(X)<=>(~patient(X)|patient(X))))&
(((~strong(john)&~wise(john)))<=>(?[X]:((curious(X)&brave(X)))))&
((quiet(john))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:(tall(X)<=>(~brave(X)<~>quiet(X))))&
(((generous(fred)|wise(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)&calm(X))=>(~tall(X)&old(X))))&
((?[X]:((curiou... | ~funny(paul) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2283769776428118181531087
% SZS output start Proof for 2283769776428118181531087
1. ! [X0] : (~old(X0) <=> (patient(X0) | ~patient(X0))) [input p0]
3. quiet(john) <=> ? [X0] : (funny(X0) & ~quiet(X0)) [input p2]
4. ! [X0] : (tall(X0) <=> (~brave(X0) <~> quiet(X0))) [input p3]
6. ! [X0] : ... | 0 |
If someone is not rich or not curious then someone is both not curious and tall and vice versa. Everyone who is both not patient and not curious is both generous and not wise and vice versa. If paul is both not patient and curious then someone is wise or not tall and vice versa. If someone is either not creative or old... | Paul is patient. | neutral | ((?[X]:((~rich(X)|~curious(X))))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((~patient(X)&~curious(X))<=>(generous(X)&~wise(X))))&
(((~patient(paul)&curious(paul)))<=>(?[X]:((wise(X)|~tall(X)))))&
((?[X]:((~creative(X)<~>old(X))))=>((~tall(susan)|happy(susan))))&
(![X]:(~creative(X)=>(~brave(X)&~generous(X))))&
((creativ... | patient(paul) | [] | null | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Lucy is rich. | contradiction | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | rich(lucy) | [
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6484837424929137140733738
% SZS output start Proof for 6484837424929137140733738
6. ! [X0] : ((quiet(X0) & kind(X0)) <=> (rich(X0) | tall(X0))) [input p5]
12. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (quiet(X0) & ~generous(X0))) [input p11]
16. ! [X0] : ((~wise(X0) & funny(X0)) <=> (gener... | 0 |
Everyone who is curious is both creative and not funny and vice versa.
If mary is either wise or not tall then someone is old and vice versa.
Everyone who is not tall is either rich or not calm and vice versa.
If someone is either humble or quiet then someone is not humble.
If mary is tall then someone is not creative ... | Susan is happy. | neutral | (![X]:(curious(X)<=>(creative(X)&~funny(X))))&
(((wise(mary)<~>~tall(mary)))<=>(?[X]:(old(X))))&
(![X]:(~tall(X)<=>(rich(X)<~>~calm(X))))&
((?[X]:((humble(X)<~>quiet(X))))=>(?[X]:(~humble(X))))&
((tall(mary))<=>(?[X]:(~creative(X))))&
(![X]:(~curious(X)<=>(~generous(X)|calm(X))))&
(![X]:(generous(X)<=>(old(X)|~curious(... | happy(susan) | [] | null | 0 |
Everyone who is not humble or not kind is not humble. Everyone who is creative or not old is both not patient and strong. If someone is not happy or humble then lucy is not happy or not old. Everyone who is not generous is either humble or happy. If susan is tall then lucy is funny or brave and vice versa. Everyone who... | Mary is strong. | contradiction | (![X]:((~humble(X)|~kind(X))=>~humble(X)))&
(![X]:((creative(X)|~old(X))=>(~patient(X)&strong(X))))&
((?[X]:((~happy(X)|humble(X))))=>((~happy(lucy)|~old(lucy))))&
(![X]:(~generous(X)=>(humble(X)<~>happy(X))))&
((tall(susan))<=>((funny(lucy)|brave(lucy))))&
(![X]:((tall(X)&generous(X))<=>(brave(X)<~>~curious(X))))&
(![... | strong(mary) | [
"p0",
"p1",
"p6",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4819136228555818140717231
% SZS output start Proof for 4819136228555818140717231
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : ((~old(X0) | creative(X0)) => (strong(X0) & ~patient(X0))) [input p1]
7. ! [X0] : ((humble(X0) <~> ~kind(X0)) => creative(X0)) [in... | 0 |
Everyone who is both patient and not generous is either not calm or not generous. Everyone who is quiet is wise. If someone is both not happy and quiet then someone is both funny and wise and vice versa. If john is calm then someone is wise or tall and vice versa. If someone is curious or not creative then paul is not ... | Fred is quiet. | contradiction | (![X]:((patient(X)&~generous(X))=>(~calm(X)<~>~generous(X))))&
(![X]:(quiet(X)=>wise(X)))&
((?[X]:((~happy(X)&quiet(X))))<=>(?[X]:((funny(X)&wise(X)))))&
((calm(john))<=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((curious(X)|~creative(X))))<=>((~humble(paul)|~funny(paul))))&
(![X]:((quiet(X)|generous(X))=>(~funny(X)<~>brave(... | quiet(fred) | [
"p0",
"p1",
"p5",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5486205175091618814906837
% SZS output start Proof for 5486205175091618814906837
1. ! [X0] : ((~generous(X0) & patient(X0)) => (~calm(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : (quiet(X0) => wise(X0)) [input p1]
6. ! [X0] : ((generous(X0) | quiet(X0)) => (~funny(X0) <~> brave(X0))) [i... | 0 |
If someone is either not curious or not old then paul is both not patient and not brave and vice versa.
If alice is not brave or curious then someone is not strong and vice versa.
Everyone who is not tall is both not kind and brave.
Everyone who is either strong or patient is not tall or not kind and vice versa.
If som... | Mary is not wise. | neutral | ((?[X]:((~curious(X)<~>~old(X))))<=>((~patient(paul)&~brave(paul))))&
(((~brave(alice)|curious(alice)))<=>(?[X]:(~strong(X))))&
(![X]:(~tall(X)=>(~kind(X)&brave(X))))&
(![X]:((strong(X)<~>patient(X))<=>(~tall(X)|~kind(X))))&
((?[X]:((~curious(X)|funny(X))))<=>((old(fred)|quiet(fred))))&
(![X]:(creative(X)<=>(curious(X)... | ~wise(mary) | [] | null | 0 |
If lucy is either rich or not humble then fred is both not kind and not tall and vice versa. If susan is generous then someone is both not funny and funny and vice versa. If someone is quiet or not kind then paul is both funny and not funny. If susan is not old then someone is not old or happy and vice versa. If someon... | Lucy is brave. | neutral | (((rich(lucy)<~>~humble(lucy)))<=>((~kind(fred)&~tall(fred))))&
((generous(susan))<=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((quiet(X)|~kind(X))))=>((funny(paul)&~funny(paul))))&
((~old(susan))<=>(?[X]:((~old(X)|happy(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>((~patient(fred)<~>rich(fred))))&
(![X]:((~creative(X)&tall(X)... | brave(lucy) | [] | null | 0 |
If lucy is not funny or humble then someone is both generous and not brave and vice versa.
Everyone who is creative or not creative is not rich and vice versa.
If someone is both not funny and not tall then alice is both funny and not kind and vice versa.
Everyone who is not brave or calm is humble or happy and vice ve... | Susan is not happy. | entailment | (((~funny(lucy)|humble(lucy)))<=>(?[X]:((generous(X)&~brave(X)))))&
(![X]:((creative(X)|~creative(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~tall(X))))<=>((funny(alice)&~kind(alice))))&
(![X]:((~brave(X)|calm(X))<=>(humble(X)|happy(X))))&
(![X]:(wise(X)<=>~rich(X)))&
(![X]:((calm(X)|humble(X))=>quiet(X)))&
((calm(susan))<=>... | ~happy(susan) | [
"p1",
"p3",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5518828109924733840388952
% SZS output start Proof for 5518828109924733840388952
2. ! [X0] : ((~creative(X0) | creative(X0)) <=> ~rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) | ~brave(X0)) <=> (happy(X0) | humble(X0))) [input p3]
6. ! [X0] : ((humble(X0) | calm(X0)) => quiet(X0)) [input p5... | 0 |
If lucy is either not tall or not wise then fred is not strong or strong. If someone is both patient and generous then mary is either not happy or not humble and vice versa. Everyone who is both not tall and not creative is kind or not calm and vice versa. If susan is not patient then mary is tall. If someone is either... | Susan is not creative. | entailment | (((~tall(lucy)<~>~wise(lucy)))=>((~strong(fred)|strong(fred))))&
((?[X]:((patient(X)&generous(X))))<=>((~happy(mary)<~>~humble(mary))))&
(![X]:((~tall(X)&~creative(X))<=>(kind(X)|~calm(X))))&
((~patient(susan))=>(tall(mary)))&
((?[X]:((~funny(X)<~>happy(X))))=>((~quiet(susan)|creative(susan))))&
(![X]:((strong(X)<~>old... | ~creative(susan) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4294009686486847990745917
% SZS output start Proof for 4294009686486847990745917
3. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~calm(X0) | kind(X0))) [input p2]
7. ! [X0] : ((~calm(X0) | ~old(X0)) <=> (creative(X0) | ~happy(X0))) [input p6]
12. ! [X0] : (~old(X0) => old(X0)) [input p11]
2... | 0 |
Everyone who is not wise is both not humble and not happy and vice versa.
If someone is rich or not humble then someone is not brave or tall.
Everyone who is not strong is patient and vice versa.
If someone is either patient or kind then someone is not happy or quiet and vice versa.
If fred is not generous or not happy... | Lucy is wise. | contradiction | (![X]:(~wise(X)<=>(~humble(X)&~happy(X))))&
((?[X]:((rich(X)|~humble(X))))=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:(~strong(X)<=>patient(X)))&
((?[X]:((patient(X)<~>kind(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(((~generous(fred)|~happy(fred)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:(creative(X)=>(wise(X)|generous(X))))&
(!... | wise(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6719736852291709395139790
% SZS output start Proof for 6719736852291709395139790
14. ! [X0] : ((wise(X0) <~> patient(X0)) <=> patient(X0)) [input p13]
22. wise(lucy) [input hypothesis]
59. ! [X0] : ((((~patient(X0) | ~wise(X0)) & (patient(X0) | wise(X0))) | ~patient(X0)) & (patient(X0) | ... | 0 |
Everyone who is both not happy and not quiet is not kind or not calm and vice versa.
Everyone who is wise is strong or generous and vice versa.
Everyone who is both not kind and not patient is either not funny or patient.
If john is both not humble and wise then john is old and vice versa.
Everyone who is not quiet is ... | Mary is kind. | entailment | (![X]:((~happy(X)&~quiet(X))<=>(~kind(X)|~calm(X))))&
(![X]:(wise(X)<=>(strong(X)|generous(X))))&
(![X]:((~kind(X)&~patient(X))=>(~funny(X)<~>patient(X))))&
(((~humble(john)&wise(john)))<=>(old(john)))&
(![X]:(~quiet(X)<=>brave(X)))&
((creative(susan))=>((rich(susan)<~>calm(susan))))&
((?[X]:((~kind(X)<~>~calm(X))))=>(... | kind(mary) | [
"p0",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4136976120055326478696459
% SZS output start Proof for 4136976120055326478696459
1. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (~calm(X0) | ~kind(X0))) [input p0]
10. ! [X0] : ((~creative(X0) | ~old(X0)) => (calm(X0) & happy(X0))) [input p9]
11. ! [X0] : ((~brave(X0) | creative(X0)) => kind(... | 0 |
If susan is either funny or happy then mary is funny and vice versa. Everyone who is both not rich and strong is both brave and kind and vice versa. If lucy is patient then fred is not creative or not quiet and vice versa. Everyone who is either not calm or creative is both not brave and strong and vice versa. Everyone... | Alice is not brave. | contradiction | (((funny(susan)<~>happy(susan)))<=>(funny(mary)))&
(![X]:((~rich(X)&strong(X))<=>(brave(X)&kind(X))))&
((patient(lucy))<=>((~creative(fred)|~quiet(fred))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)&strong(X))))&
(![X]:((~patient(X)&~humble(X))<=>(~brave(X)<~>~wise(X))))&
(((brave(john)&humble(john)))=>((~rich(susan... | ~brave(alice) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4392983388300239147710962
% SZS output start Proof for 4392983388300239147710962
1. (funny(susan) <~> happy(susan)) <=> funny(mary) [input p0]
2. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (kind(X0) & brave(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~brave(X0) <~> ~wise(X... | 0 |
If john is old or not curious then someone is calm. Everyone who is calm or not patient is calm. If susan is both not calm and not tall then someone is either not happy or tall. Everyone who is both strong and funny is quiet or wise and vice versa. If paul is both not funny and not creative then someone is not tall and... | Paul is rich. | neutral | (((old(john)|~curious(john)))=>(?[X]:(calm(X))))&
(![X]:((calm(X)|~patient(X))=>calm(X)))&
(((~calm(susan)&~tall(susan)))=>(?[X]:((~happy(X)<~>tall(X)))))&
(![X]:((strong(X)&funny(X))<=>(quiet(X)|wise(X))))&
(((~funny(paul)&~creative(paul)))<=>(?[X]:(~tall(X))))&
(((curious(paul)<~>patient(paul)))<=>((~happy(paul)&rich... | rich(paul) | [] | null | 0 |
Everyone who is creative is either rich or creative and vice versa.
Everyone who is not wise or strong is both patient and not creative and vice versa.
If someone is either not tall or not old then susan is strong and vice versa.
If someone is strong or patient then mary is both generous and not calm.
If alice is tall ... | Lucy is curious. | contradiction | (![X]:(creative(X)<=>(rich(X)<~>creative(X))))&
(![X]:((~wise(X)|strong(X))<=>(patient(X)&~creative(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>(strong(susan)))&
((?[X]:((strong(X)|patient(X))))=>((generous(mary)&~calm(mary))))&
(((tall(alice)|creative(alice)))<=>((~kind(fred)|~humble(fred))))&
(![X]:((~creative(X)|quiet(X... | curious(lucy) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6679859328834824527440661
% SZS output start Proof for 6679859328834824527440661
1. ! [X0] : (creative(X0) <=> (rich(X0) <~> creative(X0))) [input p0]
15. ! [X0] : (~rich(X0) <=> (~curious(X0) & ~humble(X0))) [input p14]
22. curious(lucy) [input hypothesis]
35. ! [X0] : ((creative(X0) | (... | 0 |
If someone is not rich or not kind then someone is not rich and vice versa. Everyone who is not creative or not calm is wise or not humble. Everyone who is rich or wise is both not generous and not wise and vice versa. Everyone who is either happy or calm is both not happy and not kind and vice versa. Everyone who is b... | Alice is kind. | entailment | ((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)|~calm(X))=>(wise(X)|~humble(X))))&
(![X]:((rich(X)|wise(X))<=>(~generous(X)&~wise(X))))&
(![X]:((happy(X)<~>calm(X))<=>(~happy(X)&~kind(X))))&
(![X]:((quiet(X)&~wise(X))=>strong(X)))&
(![X]:((brave(X)|funny(X))=>(~calm(X)&strong(X))))&
(![X]:(~tal... | kind(alice) | [
"p3",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7198946162398789921575541
% SZS output start Proof for 7198946162398789921575541
4. ! [X0] : ((happy(X0) <~> calm(X0)) <=> (~kind(X0) & ~happy(X0))) [input p3]
6. ! [X0] : ((funny(X0) | brave(X0)) => (strong(X0) & ~calm(X0))) [input p5]
15. ! [X0] : ((~brave(X0) | happy(X0)) => ~calm(X0))... | 0 |
Everyone who is both not patient and not creative is brave or happy and vice versa.
Everyone who is either strong or brave is both not calm and funny.
Everyone who is either not curious or not quiet is both not quiet and strong.
If john is patient then john is rich and vice versa.
If someone is old or tall then someone... | Mary is happy. | contradiction | (![X]:((~patient(X)&~creative(X))<=>(brave(X)|happy(X))))&
(![X]:((strong(X)<~>brave(X))=>(~calm(X)&funny(X))))&
(![X]:((~curious(X)<~>~quiet(X))=>(~quiet(X)&strong(X))))&
((patient(john))<=>(rich(john)))&
((?[X]:((old(X)|tall(X))))=>(?[X]:(creative(X))))&
((?[X]:((wise(X)|quiet(X))))=>(?[X]:((~curious(X)&strong(X)))))... | happy(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4056699382614239443419005
% SZS output start Proof for 4056699382614239443419005
22. ~happy(mary) [input p21]
25. happy(mary) [input hypothesis]
150. ~happy(mary) [cnf transformation 22]
153. happy(mary) [cnf transformation 25]
196. 10 <=> happy(mary) [avatar definition]
288. ~10 [avatar ... | 0 |
Everyone who is happy or not wise is either generous or quiet and vice versa.
Everyone who is either calm or patient is not strong.
If alice is funny then john is funny and vice versa.
If someone is either not rich or old then someone is either strong or old and vice versa.
Everyone who is both generous and not funny i... | Alice is patient. | contradiction | (![X]:((happy(X)|~wise(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)<~>patient(X))=>~strong(X)))&
((funny(alice))<=>(funny(john)))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((generous(X)&~funny(X))<=>(~strong(X)&happy(X))))&
((?[X]:((strong(X)|~curious(X))))<=>((~curious(lucy)|wise(lucy... | patient(alice) | [
"p1",
"p4",
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5944740545134060913423350
% SZS output start Proof for 5944740545134060913423350
2. ! [X0] : ((calm(X0) <~> patient(X0)) => ~strong(X0)) [input p1]
5. ! [X0] : ((~funny(X0) & generous(X0)) <=> (happy(X0) & ~strong(X0))) [input p4]
8. ! [X0] : ((~tall(X0) & ~curious(X0)) => ~calm(X0)) [inp... | 0 |
If mary is either not strong or generous then paul is not calm and vice versa. If susan is either happy or not wise then paul is either not humble or not rich. If fred is either kind or wise then lucy is either not brave or old and vice versa. Everyone who is either funny or not rich is both not wise and not calm. Ever... | Mary is not strong. | contradiction | (((~strong(mary)<~>generous(mary)))<=>(~calm(paul)))&
(((happy(susan)<~>~wise(susan)))=>((~humble(paul)<~>~rich(paul))))&
(((kind(fred)<~>wise(fred)))<=>((~brave(lucy)<~>old(lucy))))&
(![X]:((funny(X)<~>~rich(X))=>(~wise(X)&~calm(X))))&
(![X]:((creative(X)|old(X))=>(~creative(X)&~brave(X))))&
(![X]:((patient(X)&kind(X)... | ~strong(mary) | [
"p0",
"p3",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5094766760458881866822584
% SZS output start Proof for 5094766760458881866822584
1. (~strong(mary) <~> generous(mary)) <=> ~calm(paul) [input p0]
4. ! [X0] : ((funny(X0) <~> ~rich(X0)) => (~calm(X0) & ~wise(X0))) [input p3]
7. ! [X0] : (rich(X0) => (~brave(X0) & ~rich(X0))) [input p6]
15.... | 0 |
Everyone who is curious is not old or kind.
If lucy is not kind then paul is either humble or generous.
If alice is brave or creative then susan is not brave or creative and vice versa.
If someone is either happy or patient then someone is calm.
Everyone who is both humble and brave is either not patient or tall.
Every... | Alice is brave. | neutral | (![X]:(curious(X)=>(~old(X)|kind(X))))&
((~kind(lucy))=>((humble(paul)<~>generous(paul))))&
(((brave(alice)|creative(alice)))<=>((~brave(susan)|creative(susan))))&
((?[X]:((happy(X)<~>patient(X))))=>(?[X]:(calm(X))))&
(![X]:((humble(X)&brave(X))=>(~patient(X)<~>tall(X))))&
(![X]:((humble(X)&kind(X))<=>(calm(X)<~>old(X)... | brave(alice) | [] | null | 0 |
If fred is both rich and not wise then someone is rich or creative and vice versa.
Everyone who is rich is either strong or not curious.
Everyone who is not curious or funny is either not generous or tall and vice versa.
If paul is not kind then lucy is rich or not tall.
If someone is quiet then lucy is kind or not bra... | Fred is strong. | neutral | (((rich(fred)&~wise(fred)))<=>(?[X]:((rich(X)|creative(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~curious(X))))&
(![X]:((~curious(X)|funny(X))<=>(~generous(X)<~>tall(X))))&
((~kind(paul))=>((rich(lucy)|~tall(lucy))))&
((?[X]:(quiet(X)))=>((kind(lucy)|~brave(lucy))))&
(![X]:((generous(X)&kind(X))=>rich(X)))&
((?[X]:((~wise(X... | strong(fred) | [] | null | 0 |
If paul is not creative then paul is funny or humble.
Everyone who is both calm and not quiet is not calm and vice versa.
Everyone who is either curious or calm is both generous and not humble and vice versa.
If someone is either not calm or happy then someone is brave and vice versa.
Everyone who is either old or stro... | Alice is rich. | neutral | ((~creative(paul))=>((funny(paul)|humble(paul))))&
(![X]:((calm(X)&~quiet(X))<=>~calm(X)))&
(![X]:((curious(X)<~>calm(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~calm(X)<~>happy(X))))<=>(?[X]:(brave(X))))&
(![X]:((old(X)<~>strong(X))=>(~humble(X)|~patient(X))))&
(((humble(paul)|~tall(paul)))<=>(?[X]:((wise(X)|tall(X)))... | rich(alice) | [] | null | 0 |
Everyone who is either not generous or not strong is funny and vice versa. Everyone who is not humble or rich is either strong or not tall. Everyone who is both not curious and brave is not kind or not curious and vice versa. Everyone who is kind is old. If john is quiet then someone is either not wise or brave and vic... | Fred is not rich. | entailment | (![X]:((~generous(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~humble(X)|rich(X))=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((calm(X)<~>~creative(X))))=>(?[X]:((wise(X)<~>tall(X)))))&
((?[X]:((humble... | ~rich(fred) | [
"p2",
"p3",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 936120294187767298918606
% SZS output start Proof for 936120294187767298918606
3. ! [X0] : ((brave(X0) & ~curious(X0)) <=> (~curious(X0) | ~kind(X0))) [input p2]
4. ! [X0] : (kind(X0) => old(X0)) [input p3]
10. ! [X0] : ((~brave(X0) | ~curious(X0)) => (wise(X0) <~> ~rich(X0))) [input p9]
... | 0 |
If someone is not quiet or not old then mary is not tall.
If someone is not old then someone is either happy or patient and vice versa.
If someone is not quiet or happy then fred is both calm and strong.
Everyone who is either not funny or rich is funny.
Everyone who is wise or not creative is either creative or not ki... | Fred is not calm. | contradiction | ((?[X]:((~quiet(X)|~old(X))))=>(~tall(mary)))&
((?[X]:(~old(X)))<=>(?[X]:((happy(X)<~>patient(X)))))&
((?[X]:((~quiet(X)|happy(X))))=>((calm(fred)&strong(fred))))&
(![X]:((~funny(X)<~>rich(X))=>funny(X)))&
(![X]:((wise(X)|~creative(X))=>(creative(X)<~>~kind(X))))&
((?[X]:(creative(X)))<=>(?[X]:((happy(X)<~>~humble(X)))... | ~calm(fred) | [
"p2",
"p5",
"p7",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1597924001869699277745269
% SZS output start Proof for 1597924001869699277745269
3. ? [X0] : (happy(X0) | ~quiet(X0)) => (strong(fred) & calm(fred)) [input p2]
6. ? [X0] : creative(X0) <=> ? [X0] : (happy(X0) <~> ~humble(X0)) [input p5]
8. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (patient... | 0 |
If someone is either creative or tall then paul is both patient and not curious.
Everyone who is either old or creative is both tall and quiet.
If john is either funny or calm then someone is both kind and not funny.
If alice is either rich or calm then someone is both not humble and patient.
If someone is both patient... | Paul is tall. | contradiction | ((?[X]:((creative(X)<~>tall(X))))=>((patient(paul)&~curious(paul))))&
(![X]:((old(X)<~>creative(X))=>(tall(X)&quiet(X))))&
(((funny(john)<~>calm(john)))=>(?[X]:((kind(X)&~funny(X)))))&
(((rich(alice)<~>calm(alice)))=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:((patient(X)&strong(X))))<=>((~tall(paul)|~wise(paul))))&
(![... | tall(paul) | [
"p4",
"p5",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5355333532068483974836846
% SZS output start Proof for 5355333532068483974836846
5. ? [X0] : (strong(X0) & patient(X0)) <=> (~wise(paul) | ~tall(paul)) [input p4]
6. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p5]
11. ? [X0] : ~humble(X0) <=> ? [X0] : (~wise(X0) | ~patient(X... | 0 |
If someone is not humble or not funny then fred is brave. If someone is either calm or not rich then someone is both not curious and tall and vice versa. If someone is curious or not old then someone is either tall or not strong and vice versa. Everyone who is not kind is not brave or not curious. Everyone who is eithe... | Susan is old. | neutral | ((?[X]:((~humble(X)|~funny(X))))=>(brave(fred)))&
((?[X]:((calm(X)<~>~rich(X))))<=>(?[X]:((~curious(X)&tall(X)))))&
((?[X]:((curious(X)|~old(X))))<=>(?[X]:((tall(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(~brave(X)|~curious(X))))&
(![X]:((curious(X)<~>tall(X))=>(~tall(X)<~>generous(X))))&
(![X]:(patient(X)=>~old(X)))&
((~c... | old(susan) | [] | null | 0 |
Everyone who is either not happy or not kind is not creative.
Everyone who is not rich is either wise or not wise and vice versa.
Everyone who is not creative or not curious is either not rich or not creative.
Everyone who is kind or not brave is not rich or not strong.
If mary is either not patient or generous then jo... | Paul is curious. | neutral | (![X]:((~happy(X)<~>~kind(X))=>~creative(X)))&
(![X]:(~rich(X)<=>(wise(X)<~>~wise(X))))&
(![X]:((~creative(X)|~curious(X))=>(~rich(X)<~>~creative(X))))&
(![X]:((kind(X)|~brave(X))=>(~rich(X)|~strong(X))))&
(((~patient(mary)<~>generous(mary)))<=>((calm(john)&~kind(john))))&
(![X]:((~quiet(X)&~wise(X))=>(strong(X)|~stron... | curious(paul) | [] | null | 0 |
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