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 funny or brave is humble and vice versa. Everyone who is either not old or tall is both not quiet and wise and vice versa. Everyone who is both not brave and curious is either brave or wise. Everyone who is both rich and not generous is not curious and vice versa. If john is calm then someone is creativ... | Susan is humble. | neutral | (![X]:((funny(X)|brave(X))<=>humble(X)))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~brave(X)&curious(X))=>(brave(X)<~>wise(X))))&
(![X]:((rich(X)&~generous(X))<=>~curious(X)))&
((calm(john))=>(?[X]:((creative(X)|~happy(X)))))&
((funny(susan))=>((quiet(paul)|~tall(paul))))&
(![X]:(~calm(X)<=>(happy(X)... | humble(susan) | [] | null | 0 |
Everyone who is strong is not funny or not rich and vice versa.
If someone is generous or not creative then someone is both happy and not happy.
If someone is not humble or not generous then someone is both curious and kind and vice versa.
If mary is either not curious or strong then paul is either happy or kind and vi... | Mary is patient. | entailment | (![X]:(strong(X)<=>(~funny(X)|~rich(X))))&
((?[X]:((generous(X)|~creative(X))))=>(?[X]:((happy(X)&~happy(X)))))&
((?[X]:((~humble(X)|~generous(X))))<=>(?[X]:((curious(X)&kind(X)))))&
(((~curious(mary)<~>strong(mary)))<=>((happy(paul)<~>kind(paul))))&
(![X]:((~strong(X)&~tall(X))<=>(~curious(X)&quiet(X))))&
(![X]:(~pati... | patient(mary) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3244090879614634057229400
% SZS output start Proof for 3244090879614634057229400
11. ! [X0] : ((patient(X0) & ~happy(X0)) <=> curious(X0)) [input p10]
17. funny(mary) & curious(mary) [input p16]
24. ~patient(mary) [input hypothesis]
58. ! [X0] : (((patient(X0) & ~happy(X0)) | ~curious(X0)... | 0 |
If someone is strong then someone is both not rich and not patient and vice versa. If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient... | Paul is quiet. | contradiction | ((?[X]:(strong(X)))<=>(?[X]:((~rich(X)&~patient(X)))))&
((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(... | quiet(paul) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2995059255378588982704309
% SZS output start Proof for 2995059255378588982704309
3. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> (~old(X0) | ~kind(X0))) [input p2]
6. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~creative(X0)) [input p5]
7. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (calm(X0) <~> ~rich... | 0 |
Everyone who is strong or patient is not humble.
Everyone who is patient or not old is creative or curious.
If someone is funny or strong then lucy is humble.
If john is either not creative or calm then someone is not funny or not generous and vice versa.
Everyone who is either not strong or not tall is both not genero... | Fred is rich. | neutral | (![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=>(humble(lucy)))&
(((~creative(john)<~>calm(john)))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~generous(X)&rich(X))))&
(![X]:((~kind(X)|~curious(X))<=>curiou... | rich(fred) | [] | null | 0 |
If someone is not old or calm then someone is not rich or rich and vice versa.
If john is old then someone is both wise and not rich and vice versa.
Everyone who is both not tall and quiet is kind and vice versa.
Everyone who is old is either patient or not tall.
Everyone who is calm or not generous is both not curious... | John is not rich. | neutral | ((?[X]:((~old(X)|calm(X))))<=>(?[X]:((~rich(X)|rich(X)))))&
((old(john))<=>(?[X]:((wise(X)&~rich(X)))))&
(![X]:((~tall(X)&quiet(X))<=>kind(X)))&
(![X]:(old(X)=>(patient(X)<~>~tall(X))))&
(![X]:((calm(X)|~generous(X))<=>(~curious(X)&~brave(X))))&
((?[X]:((old(X)&strong(X))))<=>((patient(paul)&generous(paul))))&
((?[X]:(... | ~rich(john) | [] | null | 0 |
Everyone who is not curious or not brave is patient and vice versa.
If someone is both not humble and patient then lucy is patient or happy.
Everyone who is curious or rich is not happy or curious.
If someone is both not generous and strong then alice is both not old and humble.
Everyone who is both wise and not calm i... | Lucy is not curious. | contradiction | (![X]:((~curious(X)|~brave(X))<=>patient(X)))&
((?[X]:((~humble(X)&patient(X))))=>((patient(lucy)|happy(lucy))))&
(![X]:((curious(X)|rich(X))=>(~happy(X)|curious(X))))&
((?[X]:((~generous(X)&strong(X))))=>((~old(alice)&humble(alice))))&
(![X]:((wise(X)&~calm(X))<=>~curious(X)))&
(![X]:((~humble(X)|tall(X))=>(~generous(... | ~curious(lucy) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7308165972889079519752941
% SZS output start Proof for 7308165972889079519752941
1. ! [X0] : ((~brave(X0) | ~curious(X0)) <=> patient(X0)) [input p0]
7. ! [X0] : (patient(X0) => (curious(X0) & humble(X0))) [input p6]
25. ~curious(lucy) [input hypothesis]
30. ! [X0] : (patient(X0) => curio... | 0 |
Everyone who is both creative and generous is either not patient or happy and vice versa.
Everyone who is not curious is not humble and vice versa.
If someone is either kind or not happy then someone is wise.
If someone is both strong and not generous then alice is not strong or happy and vice versa.
Everyone who is no... | Alice is not old. | contradiction | (![X]:((creative(X)&generous(X))<=>(~patient(X)<~>happy(X))))&
(![X]:(~curious(X)<=>~humble(X)))&
((?[X]:((kind(X)<~>~happy(X))))=>(?[X]:(wise(X))))&
((?[X]:((strong(X)&~generous(X))))<=>((~strong(alice)|happy(alice))))&
(![X]:(~happy(X)=>funny(X)))&
(![X]:((rich(X)<~>happy(X))<=>(~generous(X)&kind(X))))&
(((generous(f... | ~old(alice) | [
"p3",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 703511038471035685371972
% SZS output start Proof for 703511038471035685371972
4. ? [X0] : (~generous(X0) & strong(X0)) <=> (happy(alice) | ~strong(alice)) [input p3]
9. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~generous(X0) & ~strong(X0))) [input p8]
12. ! [X0] : ((~rich(X0) | ~quiet(X... | 0 |
If lucy is either curious or happy then someone is not old or not funny and vice versa. Everyone who is not tall is wise and vice versa. Everyone who is either not creative or creative is patient. Everyone who is curious is not old and vice versa. Everyone who is both not quiet and wise is strong or wise and vice versa... | Paul is tall. | neutral | (((curious(lucy)<~>happy(lucy)))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:(~tall(X)<=>wise(X)))&
(![X]:((~creative(X)<~>creative(X))=>patient(X)))&
(![X]:(curious(X)<=>~old(X)))&
(![X]:((~quiet(X)&wise(X))<=>(strong(X)|wise(X))))&
((?[X]:((~strong(X)|rich(X))))<=>((~creative(fred)&funny(fred))))&
(((~creative(alice)|~cur... | tall(paul) | [] | null | 0 |
If fred is not curious then someone is creative or old and vice versa.
If someone is brave then john is kind or brave.
Everyone who is both not old and old is not quiet and vice versa.
Everyone who is both not happy and generous is both not humble and creative and vice versa.
Everyone who is generous is funny or humble... | John is not humble. | neutral | ((~curious(fred))<=>(?[X]:((creative(X)|old(X)))))&
((?[X]:(brave(X)))=>((kind(john)|brave(john))))&
(![X]:((~old(X)&old(X))<=>~quiet(X)))&
(![X]:((~happy(X)&generous(X))<=>(~humble(X)&creative(X))))&
(![X]:(generous(X)=>(funny(X)|humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~patient(X)))))&
(((~happy(mary)<~>~f... | ~humble(john) | [] | null | 0 |
If paul is both not tall and funny then paul is either calm or not brave.
If someone is either old or strong then someone is both curious and not humble.
Everyone who is brave is both not creative and strong and vice versa.
Everyone who is not curious is either rich or creative.
Everyone who is either funny or kind is ... | Paul is funny. | neutral | (((~tall(paul)&funny(paul)))=>((calm(paul)<~>~brave(paul))))&
((?[X]:((old(X)<~>strong(X))))=>(?[X]:((curious(X)&~humble(X)))))&
(![X]:(brave(X)<=>(~creative(X)&strong(X))))&
(![X]:(~curious(X)=>(rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>kind(X))=>(~curious(X)|creative(X))))&
((~brave(susan))=>(?[X]:((~happy(X)|~ric... | funny(paul) | [] | null | 0 |
If mary is both kind and not quiet then someone is not brave or tall and vice versa.
Everyone who is both quiet and not calm is both creative and rich.
If fred is not funny or happy then someone is either not brave or not curious and vice versa.
If mary is old then someone is calm or not generous.
Everyone who is eithe... | Alice is quiet. | contradiction | (((kind(mary)&~quiet(mary)))<=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:((quiet(X)&~calm(X))=>(creative(X)&rich(X))))&
(((~funny(fred)|happy(fred)))<=>(?[X]:((~brave(X)<~>~curious(X)))))&
((old(mary))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((~wise(X)<~>calm(X))=>(~tall(X)<~>~humble(X))))&
(![X]:((~wise(X)|curious(X))=>(~... | quiet(alice) | [
"p9",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5500391037506106420338960
% SZS output start Proof for 5500391037506106420338960
10. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~curious(X0) & ~funny(X0))) [input p9]
13. ! [X0] : ((~happy(X0) | ~funny(X0)) => (tall(X0) & ~quiet(X0))) [input p12]
15. ! [X0] : ((curious(X0) | creative(X0)) ... | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Fred is not happy. | entailment | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | ~happy(fred) | [
"p3",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3660240642046241321136514
% SZS output start Proof for 3660240642046241321136514
4. ! [X0] : (~rich(X0) => (~rich(X0) <~> ~curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (~rich(X0) & ~happy(X0))) [input p4]
10. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~creative(X... | 0 |
Everyone who is either tall or not wise is curious or happy and vice versa. Everyone who is not tall is wise or quiet. Everyone who is both not creative and not quiet is not strong or old and vice versa. If someone is both not old and kind then someone is both not funny and funny. If someone is either calm or kind then... | Lucy is quiet. | contradiction | (![X]:((tall(X)<~>~wise(X))<=>(curious(X)|happy(X))))&
(![X]:(~tall(X)=>(wise(X)|quiet(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(~strong(X)|old(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(curious(X))))&
(![X]:((brave(X)<~>~strong(X))=>tall(X)))&
(![X]:((bra... | quiet(lucy) | [
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7663728801664113879185754
% SZS output start Proof for 7663728801664113879185754
3. ! [X0] : ((~quiet(X0) & ~creative(X0)) <=> (old(X0) | ~strong(X0))) [input p2]
7. ! [X0] : ((wise(X0) | brave(X0)) <=> (~strong(X0) & strong(X0))) [input p6]
14. ! [X0] : (quiet(X0) <=> (~strong(X0) <~> br... | 0 |
If paul is not creative then lucy is either tall or not rich.
Everyone who is either funny or tall is not calm or not creative and vice versa.
Everyone who is not humble or not curious is not kind or not brave and vice versa.
Everyone who is either not calm or wise is not calm or happy and vice versa.
Everyone who is n... | John is brave. | entailment | ((~creative(paul))=>((tall(lucy)<~>~rich(lucy))))&
(![X]:((funny(X)<~>tall(X))<=>(~calm(X)|~creative(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~calm(X)|happy(X))))&
(![X]:((~kind(X)|~calm(X))=>(creative(X)<~>kind(X))))&
(((generous(susan)|~curious(susan)))=>(kind(al... | brave(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3515355253633047438733318
% SZS output start Proof for 3515355253633047438733318
21. strong(john) & brave(john) [input p20]
25. ~brave(john) [input hypothesis]
131. brave(john) [cnf transformation 21]
136. ~brave(john) [cnf transformation 25]
243. 24 <=> brave(john) [avatar definition]
25... | 0 |
Everyone who is not quiet is both not patient and not curious. Everyone who is either humble or generous is not funny and vice versa. Everyone who is not patient is both kind and rich and vice versa. Everyone who is either old or not happy is generous. If someone is both not quiet and not old then fred is wise or not p... | Paul is not funny. | contradiction | (![X]:(~quiet(X)=>(~patient(X)&~curious(X))))&
(![X]:((humble(X)<~>generous(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(kind(X)&rich(X))))&
(![X]:((old(X)<~>~happy(X))=>generous(X)))&
((?[X]:((~quiet(X)&~old(X))))<=>((wise(fred)|~patient(fred))))&
(![X]:((~old(X)&~curious(X))<=>~humble(X)))&
((?[X]:((wise(X)<~>~rich(X))))... | ~funny(paul) | [
"p2",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2012656247275068646529416
% SZS output start Proof for 2012656247275068646529416
3. ! [X0] : (~patient(X0) <=> (rich(X0) & kind(X0))) [input p2]
8. ! [X0] : (strong(X0) <=> rich(X0)) [input p7]
11. ! [X0] : (~kind(X0) <=> (strong(X0) <~> ~rich(X0))) [input p10]
12. ! [X0] : ((rich(X0) <~>... | 0 |
If someone is both strong and not happy then someone is both not brave and not tall and vice versa.
Everyone who is either creative or wise is both brave and not creative and vice versa.
Everyone who is either generous or not rich is either quiet or rich and vice versa.
Everyone who is not calm is either quiet or not p... | Paul is not patient. | neutral | ((?[X]:((strong(X)&~happy(X))))<=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((creative(X)<~>wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(quiet(X)<~>rich(X))))&
(![X]:(~calm(X)=>(quiet(X)<~>~patient(X))))&
(![X]:(~creative(X)=>(strong(X)|rich(X))))&
(![X]:((~old(X)|generous(X))=>(happy(X)&quiet(X... | ~patient(paul) | [] | null | 0 |
Everyone who is either patient or not tall is not creative or rich.
Everyone who is wise is quiet or not curious.
Everyone who is either not wise or tall is both not patient and creative.
Everyone who is both patient and funny is both not old and not patient and vice versa.
Everyone who is not generous is kind or not w... | John is not humble. | neutral | (![X]:((patient(X)<~>~tall(X))=>(~creative(X)|rich(X))))&
(![X]:(wise(X)=>(quiet(X)|~curious(X))))&
(![X]:((~wise(X)<~>tall(X))=>(~patient(X)&creative(X))))&
(![X]:((patient(X)&funny(X))<=>(~old(X)&~patient(X))))&
(![X]:(~generous(X)<=>(kind(X)|~wise(X))))&
((?[X]:(~happy(X)))=>(?[X]:((happy(X)<~>funny(X)))))&
(![X]:((... | ~humble(john) | [] | null | 0 |
Everyone who is both kind and tall is either brave or old.
Everyone who is both not creative and not humble is both not strong and not rich and vice versa.
Everyone who is either humble or tall is quiet and vice versa.
If fred is both patient and not curious then lucy is either old or not happy.
Everyone who is both no... | Mary is quiet. | contradiction | (![X]:((kind(X)&tall(X))=>(brave(X)<~>old(X))))&
(![X]:((~creative(X)&~humble(X))<=>(~strong(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))<=>quiet(X)))&
(((patient(fred)&~curious(fred)))=>((old(lucy)<~>~happy(lucy))))&
(![X]:((~funny(X)&~tall(X))=>(creative(X)|~generous(X))))&
(![X]:((~strong(X)<~>generous(X))<=>(genero... | quiet(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 980920058993898284704088
% SZS output start Proof for 980920058993898284704088
19. ~quiet(mary) [input p18]
23. quiet(mary) [input hypothesis]
125. ~quiet(mary) [cnf transformation 19]
132. quiet(mary) [cnf transformation 23]
286. $false [subsumption resolution 132,125]
% SZS output end P... | 0 |
Everyone who is both not curious and happy is either strong or not rich and vice versa.
Everyone who is not rich or humble is both curious and humble.
If paul is either humble or not funny then someone is both calm and quiet and vice versa.
Everyone who is both curious and not curious is either rich or not wise and vic... | Mary is not creative. | contradiction | (![X]:((~curious(X)&happy(X))<=>(strong(X)<~>~rich(X))))&
(![X]:((~rich(X)|humble(X))=>(curious(X)&humble(X))))&
(((humble(paul)<~>~funny(paul)))<=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:((curious(X)&~curious(X))<=>(rich(X)<~>~wise(X))))&
(![X]:((~wise(X)|~funny(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((~calm(X)&~brave... | ~creative(mary) | [
"p1",
"p4",
"p9",
"p13",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1799901762111675948132431
% SZS output start Proof for 1799901762111675948132431
2. ! [X0] : ((humble(X0) | ~rich(X0)) => (humble(X0) & curious(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | ~wise(X0)) <=> (creative(X0) <~> ~patient(X0))) [input p4]
10. ! [X0] : ((rich(X0) | ~old(X0)) => cur... | 0 |
If john is both quiet and rich then someone is either not patient or not humble and vice versa. Everyone who is either brave or quiet is not humble and vice versa. If someone is both not tall and creative then someone is either not calm or not funny and vice versa. Everyone who is not calm is either strong or not tall ... | Alice is not kind. | neutral | (((quiet(john)&rich(john)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((brave(X)<~>quiet(X))<=>~humble(X)))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:(~calm(X)<=>(strong(X)<~>~tall(X))))&
((~curious(paul))=>((old(alice)|quiet(alice))))&
(((~kind(alice)|~happy(alice)))=>((~creative(... | ~kind(alice) | [] | null | 0 |
Everyone who is either not generous or happy is not patient.
Everyone who is both not patient and tall is either quiet or strong.
If someone is both not strong and not patient then john is not kind and vice versa.
Everyone who is not rich or calm is rich.
If someone is either humble or not funny then someone is not gen... | Paul is wise. | neutral | (![X]:((~generous(X)<~>happy(X))=>~patient(X)))&
(![X]:((~patient(X)&tall(X))=>(quiet(X)<~>strong(X))))&
((?[X]:((~strong(X)&~patient(X))))<=>(~kind(john)))&
(![X]:((~rich(X)|calm(X))=>rich(X)))&
((?[X]:((humble(X)<~>~funny(X))))<=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:((~generous(X)|old(X))=>(rich(X)|wise(X))))&
((... | wise(paul) | [] | null | 0 |
Everyone who is not quiet is not happy or quiet and vice versa.
If someone is both not rich and not generous then mary is either not kind or not funny and vice versa.
Everyone who is both not strong and not patient is not wise.
If someone is old then lucy is funny and vice versa.
Everyone who is humble or curious is ei... | John is old. | neutral | (![X]:(~quiet(X)<=>(~happy(X)|quiet(X))))&
((?[X]:((~rich(X)&~generous(X))))<=>((~kind(mary)<~>~funny(mary))))&
(![X]:((~strong(X)&~patient(X))=>~wise(X)))&
((?[X]:(old(X)))<=>(funny(lucy)))&
(![X]:((humble(X)|curious(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((funny(X)&kind(X))<=>(tall(X)&kind(X))))&
(((~humble(fred)&~... | old(john) | [] | null | 0 |
Everyone who is either generous or humble is not generous. If someone is either patient or quiet then john is calm or not kind. If someone is rich or not generous then lucy is both not tall and calm. If someone is either not happy or not funny then someone is both not curious and not brave. If someone is both not happy... | Susan is not brave. | contradiction | (![X]:((generous(X)<~>humble(X))=>~generous(X)))&
((?[X]:((patient(X)<~>quiet(X))))=>((calm(john)|~kind(john))))&
((?[X]:((rich(X)|~generous(X))))=>((~tall(lucy)&calm(lucy))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~brave(X)))))&
((?[X]:((~happy(X)&~rich(X))))=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:(... | ~brave(susan) | [
"p0",
"p2",
"p7",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8194665602724736224530147
% SZS output start Proof for 8194665602724736224530147
1. ! [X0] : ((generous(X0) <~> humble(X0)) => ~generous(X0)) [input p0]
3. ? [X0] : (~generous(X0) | rich(X0)) => (calm(lucy) & ~tall(lucy)) [input p2]
8. ! [X0] : ((tall(X0) <~> old(X0)) <=> old(X0)) [input ... | 0 |
Everyone who is funny is both not tall and not rich and vice versa. If someone is both tall and quiet then someone is both not old and not quiet. Everyone who is either curious or not curious is not old or kind and vice versa. Everyone who is not brave or curious is not curious and vice versa. If someone is curious or ... | Alice is funny. | contradiction | (![X]:(funny(X)<=>(~tall(X)&~rich(X))))&
((?[X]:((tall(X)&quiet(X))))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X]:((~brave(X)|curious(X))<=>~curious(X)))&
((?[X]:((curious(X)|humble(X))))=>(creative(john)))&
((?[X]:((~kind(X)<~>~happy(X))))<=>((funny(alice)&~humble(ali... | funny(alice) | [
"p0",
"p8",
"p9",
"p11",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5270609536241429511436930
% SZS output start Proof for 5270609536241429511436930
1. ! [X0] : (funny(X0) <=> (~rich(X0) & ~tall(X0))) [input p0]
9. ! [X0] : ((tall(X0) <~> patient(X0)) => (~creative(X0) & ~quiet(X0))) [input p8]
10. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> (~patient(X0) | ... | 0 |
If lucy is calm then alice is generous. Everyone who is both quiet and calm is both strong and not old and vice versa. If fred is both generous and not funny then someone is both not funny and quiet and vice versa. Everyone who is not brave or funny is either not kind or not funny. Everyone who is quiet or not humble i... | Lucy is not humble. | contradiction | ((calm(lucy))=>(generous(alice)))&
(![X]:((quiet(X)&calm(X))<=>(strong(X)&~old(X))))&
(((generous(fred)&~funny(fred)))<=>(?[X]:((~funny(X)&quiet(X)))))&
(![X]:((~brave(X)|funny(X))=>(~kind(X)<~>~funny(X))))&
(![X]:((quiet(X)|~humble(X))<=>(rich(X)&humble(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>creative(X)))&
(((funny(joh... | ~humble(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8044551242082636119400716
% SZS output start Proof for 8044551242082636119400716
5. ! [X0] : ((~humble(X0) | quiet(X0)) <=> (humble(X0) & rich(X0))) [input p4]
24. ~humble(lucy) [input hypothesis]
42. ! [X0] : (((~humble(X0) | quiet(X0)) | (~humble(X0) | ~rich(X0))) & ((humble(X0) & rich(... | 0 |
Everyone who is either not quiet or old is both not quiet and quiet and vice versa.
Everyone who is not old is not kind.
Everyone who is either quiet or curious is both brave and not rich and vice versa.
Everyone who is quiet is tall or not calm.
Everyone who is either kind or tall is either not patient or quiet.
Every... | Mary is happy. | neutral | (![X]:((~quiet(X)<~>old(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(~old(X)=>~kind(X)))&
(![X]:((quiet(X)<~>curious(X))<=>(brave(X)&~rich(X))))&
(![X]:(quiet(X)=>(tall(X)|~calm(X))))&
(![X]:((kind(X)<~>tall(X))=>(~patient(X)<~>quiet(X))))&
(![X]:(creative(X)=>(~wise(X)|~patient(X))))&
((~tall(fred))=>(?[X]:((quiet(X)|wise(X))... | happy(mary) | [] | null | 0 |
If someone is both not rich and calm then alice is not kind. Everyone who is not tall is either calm or not funny. Everyone who is tall or not wise is not calm or quiet and vice versa. If fred is both not creative and not patient then someone is both not strong and generous and vice versa. Everyone who is not generous ... | Alice is not kind. | entailment | ((?[X]:((~rich(X)&calm(X))))=>(~kind(alice)))&
(![X]:(~tall(X)=>(calm(X)<~>~funny(X))))&
(![X]:((tall(X)|~wise(X))<=>(~calm(X)|quiet(X))))&
(((~creative(fred)&~patient(fred)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((~generous(X)|~humble(X))=>(~generous(X)&~kind(X))))&
(![X]:((~kind(X)&~calm(X))=>(funny(X)&tall(X)... | ~kind(alice) | [
"p0",
"p2",
"p4",
"p5",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 455337548837158226577795
% SZS output start Proof for 455337548837158226577795
1. ? [X0] : (calm(X0) & ~rich(X0)) => ~kind(alice) [input p0]
3. ! [X0] : ((~wise(X0) | tall(X0)) <=> (quiet(X0) | ~calm(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | ~generous(X0)) => (~kind(X0) & ~generous(X0)... | 0 |
Everyone who is both not wise and old is either brave or curious. Everyone who is both kind and not humble is not patient or patient. Everyone who is either not humble or humble is both curious and calm and vice versa. If fred is not happy or not curious then alice is generous or calm and vice versa. If someone is eith... | Lucy is not quiet. | contradiction | (![X]:((~wise(X)&old(X))=>(brave(X)<~>curious(X))))&
(![X]:((kind(X)&~humble(X))=>(~patient(X)|patient(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(curious(X)&calm(X))))&
(((~happy(fred)|~curious(fred)))<=>((generous(alice)|calm(alice))))&
((?[X]:((generous(X)<~>rich(X))))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:(old(X)=>g... | ~quiet(lucy) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1285857986731757314754105
% SZS output start Proof for 1285857986731757314754105
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (calm(X0) & curious(X0))) [input p2]
13. ? [X0] : (~curious(X0) | ~calm(X0)) <=> ? [X0] : ~quiet(X0) [input p12]
24. ~quiet(lucy) [input hypothesis]
27. ? [X0] : ... | 0 |
Everyone who is either not patient or calm is not kind or not rich.
Everyone who is either creative or wise is either old or not brave.
If fred is either not old or wise then someone is both not humble and not happy.
Everyone who is quiet or not brave is not funny and vice versa.
Everyone who is either not creative or ... | Susan is not calm. | neutral | (![X]:((~patient(X)<~>calm(X))=>(~kind(X)|~rich(X))))&
(![X]:((creative(X)<~>wise(X))=>(old(X)<~>~brave(X))))&
(((~old(fred)<~>wise(fred)))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((quiet(X)|~brave(X))<=>~funny(X)))&
(![X]:((~creative(X)<~>~quiet(X))<=>(calm(X)<~>~rich(X))))&
(![X]:((patient(X)<~>creative(X))<=>(quiet... | ~calm(susan) | [] | null | 0 |
Everyone who is happy is both generous and tall and vice versa. Everyone who is either humble or funny is either not humble or humble and vice versa. Everyone who is both patient and strong is either wise or not quiet. If lucy is either calm or humble then someone is either rich or not kind and vice versa. Everyone who... | Paul is creative. | entailment | (![X]:(happy(X)<=>(generous(X)&tall(X))))&
(![X]:((humble(X)<~>funny(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((patient(X)&strong(X))=>(wise(X)<~>~quiet(X))))&
(((calm(lucy)<~>humble(lucy)))<=>(?[X]:((rich(X)<~>~kind(X)))))&
(![X]:((~old(X)&strong(X))=>(brave(X)|~creative(X))))&
(![X]:((creative(X)&brave(X))<=>(wise(X)|... | creative(paul) | [
"p0",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4364250441912210941769229
% SZS output start Proof for 4364250441912210941769229
1. ! [X0] : (happy(X0) <=> (tall(X0) & generous(X0))) [input p0]
6. ! [X0] : ((brave(X0) & creative(X0)) <=> (brave(X0) | wise(X0))) [input p5]
9. ! [X0] : ((calm(X0) | ~happy(X0)) => (~happy(X0) <~> ~tall(X0... | 0 |
If someone is not generous then someone is both calm and not old and vice versa.
If lucy is both brave and rich then someone is either not rich or old.
If someone is both not humble and not curious then fred is old.
Everyone who is either strong or not rich is either not creative or not rich and vice versa.
Everyone wh... | Susan is not wise. | neutral | ((?[X]:(~generous(X)))<=>(?[X]:((calm(X)&~old(X)))))&
(((brave(lucy)&rich(lucy)))=>(?[X]:((~rich(X)<~>old(X)))))&
((?[X]:((~humble(X)&~curious(X))))=>(old(fred)))&
(![X]:((strong(X)<~>~rich(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:(rich(X)=>patient(X)))&
(![X]:((curious(X)&~tall(X))<=>(curious(X)|funny(X))))&
((?[X]:(~... | ~wise(susan) | [] | null | 0 |
If someone is both happy and not quiet then someone is not happy or not tall.
Everyone who is either not patient or not kind is patient and vice versa.
If paul is not strong then someone is either wise or not happy.
Everyone who is both tall and not happy is generous or kind and vice versa.
Everyone who is either rich ... | John is funny. | contradiction | ((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~patient(X)<~>~kind(X))<=>patient(X)))&
((~strong(paul))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((tall(X)&~happy(X))<=>(generous(X)|kind(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~happy(X)&~old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((old(X)|~calm(X)))))&
(... | funny(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 50437367230854412148768
% SZS output start Proof for 50437367230854412148768
21. ~funny(john) & ~curious(john) [input p20]
22. funny(john) [input hypothesis]
128. ~funny(john) [cnf transformation 21]
129. funny(john) [cnf transformation 22]
241. $false [subsumption resolution 129,128]
% S... | 0 |
If alice is either not wise or calm then someone is strong and vice versa. Everyone who is either tall or not brave is not wise and vice versa. Everyone who is rich is not rich or generous and vice versa. If someone is both not rich and not old then someone is not brave. Everyone who is either happy or not old is old o... | Susan is not funny. | contradiction | (((~wise(alice)<~>calm(alice)))<=>(?[X]:(strong(X))))&
(![X]:((tall(X)<~>~brave(X))<=>~wise(X)))&
(![X]:(rich(X)<=>(~rich(X)|generous(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:(~brave(X))))&
(![X]:((happy(X)<~>~old(X))<=>(old(X)|calm(X))))&
(![X]:(old(X)<=>(~rich(X)&~curious(X))))&
(![X]:((strong(X)&~patient(X))<=>(~r... | ~funny(susan) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1195799187535351193166921
% SZS output start Proof for 1195799187535351193166921
11. ! [X0] : (~funny(X0) => (~curious(X0) & brave(X0))) [input p10]
15. ! [X0] : ((curious(X0) & ~wise(X0)) <=> (~creative(X0) <~> creative(X0))) [input p14]
22. ~funny(susan) [input hypothesis]
28. ! [X0] : ... | 0 |
If someone is rich or brave then mary is both creative and not funny and vice versa. If someone is either not rich or creative then someone is old. Everyone who is not brave or kind is either not tall or not generous. If mary is either generous or humble then fred is creative or quiet. If someone is not happy or not ta... | Paul is not happy. | entailment | ((?[X]:((rich(X)|brave(X))))<=>((creative(mary)&~funny(mary))))&
((?[X]:((~rich(X)<~>creative(X))))=>(?[X]:(old(X))))&
(![X]:((~brave(X)|kind(X))=>(~tall(X)<~>~generous(X))))&
(((generous(mary)<~>humble(mary)))=>((creative(fred)|quiet(fred))))&
((?[X]:((~happy(X)|~tall(X))))=>((strong(alice)<~>curious(alice))))&
((~str... | ~happy(paul) | [
"p0",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 224658301166244288936883
% SZS output start Proof for 224658301166244288936883
1. ? [X0] : (brave(X0) | rich(X0)) <=> (~funny(mary) & creative(mary)) [input p0]
6. ~strong(john) <=> ? [X0] : (kind(X0) | wise(X0)) [input p5]
8. ! [X0] : (kind(X0) => (~kind(X0) <~> brave(X0))) [input p7]
11... | 0 |
Everyone who is humble or brave is either brave or not funny and vice versa. If alice is brave or happy then someone is not generous and vice versa. If paul is either not patient or tall then susan is both not wise and brave and vice versa. If alice is either creative or not happy then lucy is creative or wise. If mary... | Alice is not patient. | neutral | (![X]:((humble(X)|brave(X))<=>(brave(X)<~>~funny(X))))&
(((brave(alice)|happy(alice)))<=>(?[X]:(~generous(X))))&
(((~patient(paul)<~>tall(paul)))<=>((~wise(susan)&brave(susan))))&
(((creative(alice)<~>~happy(alice)))=>((creative(lucy)|wise(lucy))))&
(((~happy(mary)&quiet(mary)))=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:... | ~patient(alice) | [] | null | 0 |
If someone is either not creative or not generous then lucy is happy. If someone is old or not brave then fred is not quiet or old. Everyone who is either rich or kind is not patient or not curious and vice versa. If mary is not humble or not patient then someone is either curious or not strong and vice versa. If susan... | Alice is strong. | neutral | ((?[X]:((~creative(X)<~>~generous(X))))=>(happy(lucy)))&
((?[X]:((old(X)|~brave(X))))=>((~quiet(fred)|old(fred))))&
(![X]:((rich(X)<~>kind(X))<=>(~patient(X)|~curious(X))))&
(((~humble(mary)|~patient(mary)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(((curious(susan)|~patient(susan)))<=>((~rich(fred)|~patient(fred))))&
(!... | strong(alice) | [] | null | 0 |
If someone is either not curious or curious then someone is not wise or creative.
Everyone who is both not generous and not old is not humble.
If someone is either not calm or funny then mary is not humble or old.
Everyone who is strong or kind is both old and strong and vice versa.
Everyone who is kind or happy is eit... | Fred is old. | entailment | ((?[X]:((~curious(X)<~>curious(X))))=>(?[X]:((~wise(X)|creative(X)))))&
(![X]:((~generous(X)&~old(X))=>~humble(X)))&
((?[X]:((~calm(X)<~>funny(X))))=>((~humble(mary)|old(mary))))&
(![X]:((strong(X)|kind(X))<=>(old(X)&strong(X))))&
(![X]:((kind(X)|happy(X))=>(~tall(X)<~>quiet(X))))&
(![X]:(happy(X)=>~wise(X)))&
(![X]:((... | old(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 162161845695125412632682
% SZS output start Proof for 162161845695125412632682
10. ! [X0] : ((~old(X0) | ~generous(X0)) => (brave(X0) & ~brave(X0))) [input p9]
25. ~old(fred) [input hypothesis]
35. ! [X0] : ((brave(X0) & ~brave(X0)) | (old(X0) & generous(X0))) [ennf transformation 10]
102... | 0 |
Everyone who is either not strong or not kind is not rich. Everyone who is humble is brave. If mary is both not calm and not strong then mary is not wise or tall. Everyone who is curious is either old or not generous. If someone is either generous or creative then lucy is not old and vice versa. Everyone who is both no... | John is creative. | entailment | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~calm(mary)&~strong(mary)))=>((~wise(mary)|tall(mary))))&
(![X]:(curious(X)=>(old(X)<~>~generous(X))))&
((?[X]:((generous(X)<~>creative(X))))<=>(~old(lucy)))&
(![X]:((~old(X)&curious(X))=>(~tall(X)|~quiet(X))))&
(![X]:(~quiet(X)=>(~happy(X)&cu... | creative(john) | [
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7032079804060187238563307
% SZS output start Proof for 7032079804060187238563307
7. ! [X0] : (~quiet(X0) => (curious(X0) & ~happy(X0))) [input p6]
15. ! [X0] : ((kind(X0) | ~creative(X0)) => (happy(X0) & ~curious(X0))) [input p14]
21. brave(john) & ~quiet(john) [input p20]
25. ~creative(j... | 0 |
If someone is not patient then someone is calm and vice versa.
Everyone who is not happy or not strong is curious.
If mary is both funny and old then susan is strong or not wise.
Everyone who is either calm or wise is both not creative and quiet and vice versa.
If someone is either rich or tall then alice is not brave ... | Alice is not quiet. | neutral | ((?[X]:(~patient(X)))<=>(?[X]:(calm(X))))&
(![X]:((~happy(X)|~strong(X))=>curious(X)))&
(((funny(mary)&old(mary)))=>((strong(susan)|~wise(susan))))&
(![X]:((calm(X)<~>wise(X))<=>(~creative(X)&quiet(X))))&
((?[X]:((rich(X)<~>tall(X))))=>((~brave(alice)|kind(alice))))&
(![X]:((~generous(X)&~kind(X))<=>(~generous(X)<~>old... | ~quiet(alice) | [] | null | 0 |
Everyone who is either not generous or not kind is wise. If alice is either calm or humble then susan is both not wise and not quiet and vice versa. Everyone who is both not brave and not curious is both not patient and not tall and vice versa. If susan is either quiet or curious then someone is either not wise or not ... | Alice is not old. | neutral | (![X]:((~generous(X)<~>~kind(X))=>wise(X)))&
(((calm(alice)<~>humble(alice)))<=>((~wise(susan)&~quiet(susan))))&
(![X]:((~brave(X)&~curious(X))<=>(~patient(X)&~tall(X))))&
(((quiet(susan)<~>curious(susan)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((~rich(X)&~calm(X))<=>(tall(X)<~>~wise(X))))&
(![X]:(wise(X)=>(~wise(X)&... | ~old(alice) | [] | null | 0 |
Everyone who is both generous and happy is either not brave or tall and vice versa.
Everyone who is rich is not rich.
If john is not kind then someone is not curious and vice versa.
If someone is kind then someone is tall.
Everyone who is either strong or creative is either wise or patient.
If paul is not curious or hu... | Susan is strong. | neutral | (![X]:((generous(X)&happy(X))<=>(~brave(X)<~>tall(X))))&
(![X]:(rich(X)=>~rich(X)))&
((~kind(john))<=>(?[X]:(~curious(X))))&
((?[X]:(kind(X)))=>(?[X]:(tall(X))))&
(![X]:((strong(X)<~>creative(X))=>(wise(X)<~>patient(X))))&
(((~curious(paul)|humble(paul)))<=>(?[X]:((brave(X)<~>funny(X)))))&
(![X]:((~calm(X)&~wise(X))=>(... | strong(susan) | [] | null | 0 |
Everyone who is both generous and tall is happy or not funny and vice versa. If someone is either calm or kind then someone is not funny or patient. Everyone who is either curious or humble is happy and vice versa. Everyone who is not funny is both strong and not old and vice versa. If someone is either tall or happy t... | Lucy is not generous. | contradiction | (![X]:((generous(X)&tall(X))<=>(happy(X)|~funny(X))))&
((?[X]:((calm(X)<~>kind(X))))=>(?[X]:((~funny(X)|patient(X)))))&
(![X]:((curious(X)<~>humble(X))<=>happy(X)))&
(![X]:(~funny(X)<=>(strong(X)&~old(X))))&
((?[X]:((tall(X)<~>happy(X))))=>((~quiet(fred)|calm(fred))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~wise(X)&~generous... | ~generous(lucy) | [
"p0",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7373853699270343682481191
% SZS output start Proof for 7373853699270343682481191
1. ! [X0] : ((tall(X0) & generous(X0)) <=> (~funny(X0) | happy(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> humble(X0)) <=> happy(X0)) [input p2]
10. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p9]
13. ! [X... | 0 |
If lucy is either not creative or not quiet then john is both tall and not strong. Everyone who is either old or quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or funny and vice versa. Everyone who is either not tall or funny is not funny or not tall and vice versa. Everyone ... | Lucy is not wise. | contradiction | (((~creative(lucy)<~>~quiet(lucy)))=>((tall(john)&~strong(john))))&
(![X]:((old(X)<~>quiet(X))=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))&
(![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((~happy(X)&old(X))=>(... | ~wise(lucy) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2590889939106712140740033
% SZS output start Proof for 2590889939106712140740033
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
9. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~funny(X0) | brave(X0))) [input p8]
21. ~wise(lucy) [input hypothesis]
41. ! [X0] : (((... | 0 |
If paul is either curious or not rich then susan is not calm and vice versa.
Everyone who is both not creative and not patient is either brave or not old.
Everyone who is both not wise and not humble is happy or not happy and vice versa.
Everyone who is both curious and not calm is not rich and vice versa.
If john is n... | Alice is not rich. | neutral | (((curious(paul)<~>~rich(paul)))<=>(~calm(susan)))&
(![X]:((~creative(X)&~patient(X))=>(brave(X)<~>~old(X))))&
(![X]:((~wise(X)&~humble(X))<=>(happy(X)|~happy(X))))&
(![X]:((curious(X)&~calm(X))<=>~rich(X)))&
(((~calm(john)|quiet(john)))<=>(~tall(lucy)))&
((?[X]:((creative(X)<~>calm(X))))=>(?[X]:(~creative(X))))&
((?[X... | ~rich(alice) | [] | null | 0 |
If mary is both not humble and not happy then someone is both funny and not old and vice versa. If mary is wise or not generous then john is old and vice versa. Everyone who is either rich or old is either not rich or strong and vice versa. Everyone who is both not brave and humble is not humble. If susan is both not h... | Alice is not strong. | contradiction | (((~humble(mary)&~happy(mary)))<=>(?[X]:((funny(X)&~old(X)))))&
(((wise(mary)|~generous(mary)))<=>(old(john)))&
(![X]:((rich(X)<~>old(X))<=>(~rich(X)<~>strong(X))))&
(![X]:((~brave(X)&humble(X))=>~humble(X)))&
(((~happy(susan)&curious(susan)))=>((calm(paul)<~>happy(paul))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~bra... | ~strong(alice) | [
"p2",
"p5",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 620495351966254655319036
% SZS output start Proof for 620495351966254655319036
3. ! [X0] : ((rich(X0) <~> old(X0)) <=> (~rich(X0) <~> strong(X0))) [input p2]
6. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p5]
7. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> ~patient(X0)) [input p6]
14. ! [X0] :... | 0 |
Everyone who is kind is either strong or not creative. Everyone who is not tall or not brave is brave. If someone is not funny or not strong then paul is either not calm or old. Everyone who is not happy or funny is strong and vice versa. Everyone who is both not rich and brave is not tall and vice versa. Everyone who ... | Alice is not happy. | neutral | (![X]:(kind(X)=>(strong(X)<~>~creative(X))))&
(![X]:((~tall(X)|~brave(X))=>brave(X)))&
((?[X]:((~funny(X)|~strong(X))))=>((~calm(paul)<~>old(paul))))&
(![X]:((~happy(X)|funny(X))<=>strong(X)))&
(![X]:((~rich(X)&brave(X))<=>~tall(X)))&
(![X]:((~curious(X)<~>~calm(X))<=>(kind(X)|calm(X))))&
(((~strong(fred)&creative(fred... | ~happy(alice) | [] | null | 0 |
If lucy is not quiet or not old then someone is either brave or tall.
Everyone who is rich or funny is both creative and funny and vice versa.
Everyone who is calm is not tall and vice versa.
If susan is both not funny and not strong then someone is either not rich or curious and vice versa.
If fred is either brave or ... | Paul is brave. | contradiction | (((~quiet(lucy)|~old(lucy)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((rich(X)|funny(X))<=>(creative(X)&funny(X))))&
(![X]:(calm(X)<=>~tall(X)))&
(((~funny(susan)&~strong(susan)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(((brave(fred)<~>~wise(fred)))=>(?[X]:((~kind(X)|~curious(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(~ric... | brave(paul) | [
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6763202104707115876178101
% SZS output start Proof for 6763202104707115876178101
6. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (strong(X0) | ~rich(X0))) [input p5]
8. ? [X0] : ~happy(X0) => ? [X0] : (rich(X0) & ~strong(X0)) [input p7]
10. ! [X0] : ((brave(X0) | humble(X0)) <=> (brave(X0) <... | 0 |
Everyone who is not humble is curious. Everyone who is not quiet or not generous is not creative or curious and vice versa. If paul is not calm or wise then fred is not rich. Everyone who is either not humble or not generous is not kind or funny. If fred is not strong or not generous then someone is calm or wise. If so... | Paul is patient. | neutral | (![X]:(~humble(X)=>curious(X)))&
(![X]:((~quiet(X)|~generous(X))<=>(~creative(X)|curious(X))))&
(((~calm(paul)|wise(paul)))=>(~rich(fred)))&
(![X]:((~humble(X)<~>~generous(X))=>(~kind(X)|funny(X))))&
(((~strong(fred)|~generous(fred)))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:(happy(X)))=>(?[X]:((tall(X)|~curious(X)))))&
((... | patient(paul) | [] | null | 0 |
If fred is wise then someone is both not old and calm and vice versa.
If someone is both creative and old then mary is either patient or not calm.
Everyone who is both not generous and calm is not tall or not funny.
Everyone who is kind or not creative is creative or not brave and vice versa.
If alice is not tall then ... | Mary is wise. | neutral | ((wise(fred))<=>(?[X]:((~old(X)&calm(X)))))&
((?[X]:((creative(X)&old(X))))=>((patient(mary)<~>~calm(mary))))&
(![X]:((~generous(X)&calm(X))=>(~tall(X)|~funny(X))))&
(![X]:((kind(X)|~creative(X))<=>(creative(X)|~brave(X))))&
((~tall(alice))<=>(?[X]:((quiet(X)&calm(X)))))&
(![X]:((calm(X)<~>~calm(X))=>(kind(X)<~>~rich(X... | wise(mary) | [] | null | 0 |
Everyone who is not wise or not old is both not tall and not wise.
If someone is not calm or not funny then susan is both tall and brave and vice versa.
If susan is not creative then someone is wise and vice versa.
Everyone who is either not happy or creative is either not patient or old.
Everyone who is wise is curiou... | Susan is calm. | entailment | (![X]:((~wise(X)|~old(X))=>(~tall(X)&~wise(X))))&
((?[X]:((~calm(X)|~funny(X))))<=>((tall(susan)&brave(susan))))&
((~creative(susan))<=>(?[X]:(wise(X))))&
(![X]:((~happy(X)<~>creative(X))=>(~patient(X)<~>old(X))))&
(![X]:(wise(X)<=>(curious(X)|~rich(X))))&
(![X]:((~old(X)|strong(X))<=>(~kind(X)&strong(X))))&
(((humble(... | calm(susan) | [
"p0",
"p1",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 540648132512621920368412
% SZS output start Proof for 540648132512621920368412
1. ! [X0] : ((~old(X0) | ~wise(X0)) => (~wise(X0) & ~tall(X0))) [input p0]
2. ? [X0] : (~funny(X0) | ~calm(X0)) <=> (brave(susan) & tall(susan)) [input p1]
3. ~creative(susan) <=> ? [X0] : wise(X0) [input p2]
1... | 0 |
Everyone who is calm or not quiet is generous or not funny and vice versa.
If susan is both not curious and humble then mary is either not curious or happy.
Everyone who is wise or not generous is both brave and not wise and vice versa.
Everyone who is either rich or not strong is both not generous and not wise and vic... | Fred is curious. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(generous(X)|~funny(X))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~wise(X))))&
(![X]:((funny(X)&kind(X))<=>~calm(X)))&
(![X]:(strong(X)<=>(calm(X)<~>generous(... | curious(fred) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1916723609354127595375485
% SZS output start Proof for 1916723609354127595375485
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
Everyone who is both rich and not happy is brave or not calm and vice versa.
Everyone who is either wise or not strong is both not quiet and not patient.
Everyone who is both rich and brave is not old or humble.
If john is both creative and not tall then someone is calm or happy and vice versa.
If someone is both patie... | John is not happy. | neutral | (![X]:((rich(X)&~happy(X))<=>(brave(X)|~calm(X))))&
(![X]:((wise(X)<~>~strong(X))=>(~quiet(X)&~patient(X))))&
(![X]:((rich(X)&brave(X))=>(~old(X)|humble(X))))&
(((creative(john)&~tall(john)))<=>(?[X]:((calm(X)|happy(X)))))&
((?[X]:((patient(X)&~wise(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~funny(X)&~creative(X))=>(~tall(X... | ~happy(john) | [] | null | 0 |
Everyone who is generous is not rich or not kind.
Everyone who is both humble and not brave is both not patient and not generous.
Everyone who is either curious or not curious is both funny and creative.
If paul is both calm and old then alice is not strong.
If paul is both quiet and not rich then someone is not genero... | Paul is funny. | entailment | (![X]:(generous(X)=>(~rich(X)|~kind(X))))&
(![X]:((humble(X)&~brave(X))=>(~patient(X)&~generous(X))))&
(![X]:((curious(X)<~>~curious(X))=>(funny(X)&creative(X))))&
(((calm(paul)&old(paul)))=>(~strong(alice)))&
(((quiet(paul)&~rich(paul)))<=>(?[X]:((~generous(X)|quiet(X)))))&
((?[X]:((~strong(X)&~rich(X))))<=>(?[X]:((pa... | funny(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7767651086004868985259052
% SZS output start Proof for 7767651086004868985259052
3. ! [X0] : ((curious(X0) <~> ~curious(X0)) => (creative(X0) & funny(X0))) [input p2]
22. ~funny(paul) [input hypothesis]
32. ! [X0] : ((creative(X0) & funny(X0)) | (curious(X0) <=> ~curious(X0))) [ennf trans... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Paul is not rich. | contradiction | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | ~rich(paul) | [
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7088664264181032787139040
% SZS output start Proof for 7088664264181032787139040
7. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (curious(X0) | rich(X0))) [input p6]
11. ? [X0] : kind(X0) <=> curious(paul) [input p10]
20. ? [X0] : (~humble(X0) & kind(X0)) [input p19]
25. ~rich(paul) [input hypot... | 0 |
Everyone who is both rich and not curious is generous or not creative. Everyone who is creative is not curious and vice versa. Everyone who is curious or not calm is both not calm and not patient. If alice is not tall then john is not quiet or quiet and vice versa. If lucy is either not rich or rich then someone is eit... | Mary is not wise. | contradiction | (![X]:((rich(X)&~curious(X))=>(generous(X)|~creative(X))))&
(![X]:(creative(X)<=>~curious(X)))&
(![X]:((curious(X)|~calm(X))=>(~calm(X)&~patient(X))))&
((~tall(alice))<=>((~quiet(john)|quiet(john))))&
(((~rich(lucy)<~>rich(lucy)))<=>(?[X]:((funny(X)<~>curious(X)))))&
((?[X]:((~rich(X)|~quiet(X))))=>((strong(paul)<~>hap... | ~wise(mary) | [
"p1",
"p2",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9167583787100292894617068
% SZS output start Proof for 9167583787100292894617068
2. ! [X0] : (creative(X0) <=> ~curious(X0)) [input p1]
3. ! [X0] : ((~calm(X0) | curious(X0)) => (~patient(X0) & ~calm(X0))) [input p2]
9. ! [X0] : ((rich(X0) <~> curious(X0)) => (~kind(X0) & kind(X0))) [inpu... | 0 |
If mary is rich then paul is not strong or not calm. If john is either generous or rich then someone is both funny and old and vice versa. Everyone who is both not quiet and not generous is not generous or not curious. Everyone who is either strong or patient is either tall or funny. If someone is brave then susan is n... | Susan is tall. | neutral | ((rich(mary))=>((~strong(paul)|~calm(paul))))&
(((generous(john)<~>rich(john)))<=>(?[X]:((funny(X)&old(X)))))&
(![X]:((~quiet(X)&~generous(X))=>(~generous(X)|~curious(X))))&
(![X]:((strong(X)<~>patient(X))=>(tall(X)<~>funny(X))))&
((?[X]:(brave(X)))<=>((~funny(susan)|~generous(susan))))&
(![X]:((rich(X)|~old(X))<=>~tal... | tall(susan) | [] | null | 0 |
Everyone who is either not brave or brave is either patient or quiet.
Everyone who is both not humble and patient is happy or kind and vice versa.
If fred is not old or not creative then someone is both not calm and not patient and vice versa.
Everyone who is both not curious and not creative is quiet or curious.
If so... | Fred is tall. | entailment | (![X]:((~brave(X)<~>brave(X))=>(patient(X)<~>quiet(X))))&
(![X]:((~humble(X)&patient(X))<=>(happy(X)|kind(X))))&
(((~old(fred)|~creative(fred)))<=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~creative(X))=>(quiet(X)|curious(X))))&
((?[X]:((rich(X)<~>old(X))))<=>((humble(paul)<~>funny(paul))))&
(((funny(mary)|... | tall(fred) | [
"p1",
"p2",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8701823847035334660113946
% SZS output start Proof for 8701823847035334660113946
2. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (kind(X0) | happy(X0))) [input p1]
3. (~creative(fred) | ~old(fred)) <=> ? [X0] : (~patient(X0) & ~calm(X0)) [input p2]
7. ! [X0] : (patient(X0) <=> ~calm(X0)) [in... | 0 |
Everyone who is either not creative or not humble is both not curious and not humble and vice versa.
Everyone who is both not calm and not tall is old.
Everyone who is both not creative and not rich is not curious.
If someone is either not patient or humble then susan is both generous and kind and vice versa.
If lucy i... | Paul is not wise. | contradiction | (![X]:((~creative(X)<~>~humble(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~calm(X)&~tall(X))=>old(X)))&
(![X]:((~creative(X)&~rich(X))=>~curious(X)))&
((?[X]:((~patient(X)<~>humble(X))))<=>((generous(susan)&kind(susan))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)&brave(X))<=>(~tall(X)&~... | ~wise(paul) | [
"p3",
"p6",
"p8",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 475272243188767378157457
% SZS output start Proof for 475272243188767378157457
4. ? [X0] : (~patient(X0) <~> humble(X0)) <=> (kind(susan) & generous(susan)) [input p3]
7. ! [X0] : ((wise(X0) | ~tall(X0)) <=> (humble(X0) & ~happy(X0))) [input p6]
9. ? [X0] : kind(X0) => (creative(fred) & ~... | 0 |
If someone is either funny or not happy then someone is both not creative and funny.
If fred is either brave or not calm then fred is not generous or happy.
Everyone who is happy or not quiet is either not strong or rich.
Everyone who is either generous or not curious is not funny and vice versa.
Everyone who is both n... | John is not rich. | entailment | ((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((~creative(X)&funny(X)))))&
(((brave(fred)<~>~calm(fred)))=>((~generous(fred)|happy(fred))))&
(![X]:((happy(X)|~quiet(X))=>(~strong(X)<~>rich(X))))&
(![X]:((generous(X)<~>~curious(X))<=>~funny(X)))&
(![X]:((~quiet(X)&funny(X))=>(happy(X)&funny(X))))&
((?[X]:((~rich(X)&~strong(X)... | ~rich(john) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7552686345896608261651990
% SZS output start Proof for 7552686345896608261651990
3. ! [X0] : ((~quiet(X0) | happy(X0)) => (~strong(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> ~funny(X0)) [input p3]
8. ! [X0] : ((strong(X0) & ~kind(X0)) <=> kind(X0)) [inp... | 0 |
Everyone who is both not humble and not strong is humble or not tall and vice versa.
If someone is both wise and quiet then someone is both humble and quiet and vice versa.
Everyone who is either quiet or not generous is both not wise and not happy and vice versa.
Everyone who is either not humble or not strong is tall... | Lucy is tall. | entailment | (![X]:((~humble(X)&~strong(X))<=>(humble(X)|~tall(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((quiet(X)<~>~generous(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(tall(X)|~old(X))))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:(calm(X))))&
((happy(paul))=>((kind(lucy)|calm(lu... | tall(lucy) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2201290114965012796220587
% SZS output start Proof for 2201290114965012796220587
1. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & wise(X0)) <=> ? [X0] : (quiet(X0) & humble(X0)) [input p1]
7. ! [X0] : (brave(X0) <=> (wise(X0) <~> c... | 0 |
If someone is both not generous and not old then mary is both not funny and wise. Everyone who is not humble is either kind or not funny. Everyone who is both not funny and generous is not funny and vice versa. Everyone who is not quiet or funny is happy. If someone is either humble or not funny then someone is not fun... | Alice is kind. | entailment | ((?[X]:((~generous(X)&~old(X))))=>((~funny(mary)&wise(mary))))&
(![X]:(~humble(X)=>(kind(X)<~>~funny(X))))&
(![X]:((~funny(X)&generous(X))<=>~funny(X)))&
(![X]:((~quiet(X)|funny(X))=>happy(X)))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:((generous(X)<~>happy(X))))<=>(?[X]:((~funny(X)<~>happy(X)))))... | kind(alice) | [
"p1",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5107761771217647235737383
% SZS output start Proof for 5107761771217647235737383
2. ! [X0] : (~humble(X0) => (kind(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((generous(X0) & ~funny(X0)) <=> ~funny(X0)) [input p2]
5. ? [X0] : (humble(X0) <~> ~funny(X0)) => ? [X0] : ~funny(X0) [input p4]
... | 0 |
If john is not rich or not quiet then someone is curious or not quiet and vice versa.
Everyone who is either curious or not wise is either not kind or not old.
If paul is either not happy or not calm then john is both not curious and happy and vice versa.
If someone is generous then mary is both not quiet and kind.
If ... | Mary is kind. | entailment | (((~rich(john)|~quiet(john)))<=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:((curious(X)<~>~wise(X))=>(~kind(X)<~>~old(X))))&
(((~happy(paul)<~>~calm(paul)))<=>((~curious(john)&happy(john))))&
((?[X]:(generous(X)))=>((~quiet(mary)&kind(mary))))&
(((~rich(lucy)|~patient(lucy)))<=>(~humble(mary)))&
(![X]:((~curious(X)<~>old(... | kind(mary) | [
"p3",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7496243533044875344318374
% SZS output start Proof for 7496243533044875344318374
4. ? [X0] : generous(X0) => (kind(mary) & ~quiet(mary)) [input p3]
19. old(paul) | generous(paul) [input p18]
23. ~old(paul) & ~rich(paul) [input p22]
24. ~kind(mary) [input hypothesis]
28. (kind(mary) & ~qui... | 0 |
If someone is not strong then someone is either not brave or curious.
If someone is wise then alice is either wise or humble and vice versa.
Everyone who is brave is not curious or not generous.
If someone is either not tall or patient then alice is both not tall and tall.
If mary is both not brave and kind then someon... | Mary is not patient. | entailment | ((?[X]:(~strong(X)))=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:(wise(X)))<=>((wise(alice)<~>humble(alice))))&
(![X]:(brave(X)=>(~curious(X)|~generous(X))))&
((?[X]:((~tall(X)<~>patient(X))))=>((~tall(alice)&tall(alice))))&
(((~brave(mary)&kind(mary)))=>(?[X]:((curious(X)|~curious(X)))))&
(![X]:((~wise(X)&~kind(X))<=>... | ~patient(mary) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5673857524900362771725852
% SZS output start Proof for 5673857524900362771725852
4. ? [X0] : (~tall(X0) <~> patient(X0)) => (tall(alice) & ~tall(alice)) [input p3]
12. ! [X0] : ((patient(X0) <~> tall(X0)) <=> tall(X0)) [input p11]
21. patient(mary) [input hypothesis]
28. (tall(alice) & ~t... | 0 |
If someone is not generous or not funny then mary is both not wise and not quiet.
Everyone who is not rich is both not rich and not happy and vice versa.
If john is either calm or not patient then someone is both not brave and strong.
If lucy is tall then someone is not happy and vice versa.
Everyone who is either not ... | Mary is not strong. | entailment | ((?[X]:((~generous(X)|~funny(X))))=>((~wise(mary)&~quiet(mary))))&
(![X]:(~rich(X)<=>(~rich(X)&~happy(X))))&
(((calm(john)<~>~patient(john)))=>(?[X]:((~brave(X)&strong(X)))))&
((tall(lucy))<=>(?[X]:(~happy(X))))&
(![X]:((~strong(X)<~>happy(X))<=>(humble(X)&~humble(X))))&
(((~generous(john)&calm(john)))<=>(?[X]:((curiou... | ~strong(mary) | [
"p5",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 117119289077245855699456
% SZS output start Proof for 117119289077245855699456
6. (calm(john) & ~generous(john)) <=> ? [X0] : (quiet(X0) | curious(X0)) [input p5]
7. ! [X0] : (~calm(X0) <=> ~generous(X0)) [input p6]
8. ! [X0] : ((strong(X0) <~> funny(X0)) <=> (~quiet(X0) | ~kind(X0))) [in... | 0 |
If lucy is kind then paul is not strong or not rich.
If someone is both not quiet and creative then alice is strong or rich.
Everyone who is not rich is either curious or strong and vice versa.
Everyone who is either creative or not brave is wise or creative.
If mary is not humble or rich then someone is quiet or rich ... | John is not kind. | entailment | ((kind(lucy))=>((~strong(paul)|~rich(paul))))&
((?[X]:((~quiet(X)&creative(X))))=>((strong(alice)|rich(alice))))&
(![X]:(~rich(X)<=>(curious(X)<~>strong(X))))&
(![X]:((creative(X)<~>~brave(X))=>(wise(X)|creative(X))))&
(((~humble(mary)|rich(mary)))<=>(?[X]:((quiet(X)|rich(X)))))&
(![X]:((~tall(X)&~generous(X))<=>(~quie... | ~kind(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 830576807316604907110887
% SZS output start Proof for 830576807316604907110887
14. ! [X0] : (wise(X0) <=> (~kind(X0) <~> ~wise(X0))) [input p13]
25. kind(john) [input hypothesis]
72. ! [X0] : ((wise(X0) | ((~kind(X0) | wise(X0)) & (~wise(X0) | kind(X0)))) & (((wise(X0) | kind(X0)) & (~wis... | 0 |
If someone is not humble then paul is either funny or creative.
Everyone who is either not wise or not calm is either happy or kind and vice versa.
Everyone who is old or not kind is not strong or not old.
Everyone who is both curious and funny is generous and vice versa.
If mary is curious then fred is both kind and n... | Fred is wise. | neutral | ((?[X]:(~humble(X)))=>((funny(paul)<~>creative(paul))))&
(![X]:((~wise(X)<~>~calm(X))<=>(happy(X)<~>kind(X))))&
(![X]:((old(X)|~kind(X))=>(~strong(X)|~old(X))))&
(![X]:((curious(X)&funny(X))<=>generous(X)))&
((curious(mary))<=>((kind(fred)&~curious(fred))))&
(![X]:((old(X)|~calm(X))=>(~curious(X)<~>funny(X))))&
(![X]:(... | wise(fred) | [] | null | 0 |
Everyone who is not brave or not generous is either not brave or not generous.
Everyone who is not kind or rich is either not patient or creative.
Everyone who is not kind or not curious is either not generous or not happy.
Everyone who is not old or funny is not calm and vice versa.
If someone is both rich and not cur... | Paul is not old. | neutral | (![X]:((~brave(X)|~generous(X))=>(~brave(X)<~>~generous(X))))&
(![X]:((~kind(X)|rich(X))=>(~patient(X)<~>creative(X))))&
(![X]:((~kind(X)|~curious(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((~old(X)|funny(X))<=>~calm(X)))&
((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~kind(X)<~>brave(X)))))&
((?[X]:(humble(X)))=>(?[X]:(fun... | ~old(paul) | [] | null | 0 |
If alice is both not tall and wise then someone is either not wise or funny and vice versa.
Everyone who is quiet is not strong or not humble.
Everyone who is either generous or brave is both not funny and not calm and vice versa.
If someone is both not quiet and patient then susan is not patient or not quiet.
Everyone... | Lucy is not old. | entailment | (((~tall(alice)&wise(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
(![X]:(quiet(X)=>(~strong(X)|~humble(X))))&
(![X]:((generous(X)<~>brave(X))<=>(~funny(X)&~calm(X))))&
((?[X]:((~quiet(X)&patient(X))))=>((~patient(susan)|~quiet(susan))))&
(![X]:((~calm(X)|tall(X))<=>brave(X)))&
((?[X]:((old(X)<~>quiet(X))))<=>((curious(p... | ~old(lucy) | [
"p9",
"p13",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1576025721750472123525686
% SZS output start Proof for 1576025721750472123525686
10. ! [X0] : ((~old(X0) | ~generous(X0)) <=> (humble(X0) | ~rich(X0))) [input p9]
14. ! [X0] : ((patient(X0) | ~old(X0)) <=> ~wise(X0)) [input p13]
16. ! [X0] : ((curious(X0) <~> generous(X0)) <=> (patient(X0... | 0 |
If paul is both tall and not old then alice is either not humble or not wise.
Everyone who is either not patient or old is either not curious or calm.
If alice is either wise or not tall then paul is not old or quiet.
Everyone who is both wise and rich is not funny and vice versa.
Everyone who is either funny or not ge... | Fred is happy. | neutral | (((tall(paul)&~old(paul)))=>((~humble(alice)<~>~wise(alice))))&
(![X]:((~patient(X)<~>old(X))=>(~curious(X)<~>calm(X))))&
(((wise(alice)<~>~tall(alice)))=>((~old(paul)|quiet(paul))))&
(![X]:((wise(X)&rich(X))<=>~funny(X)))&
(![X]:((funny(X)<~>~generous(X))=>~curious(X)))&
(![X]:((strong(X)<~>~humble(X))=>(~old(X)&patie... | happy(fred) | [] | null | 0 |
If lucy is either curious or not rich then someone is rich or not creative.
If someone is not strong then someone is both not creative and not kind and vice versa.
If mary is both wise and not tall then alice is either not generous or not humble.
Everyone who is both old and kind is both not creative and not rich.
Ever... | Lucy is strong. | entailment | (((curious(lucy)<~>~rich(lucy)))=>(?[X]:((rich(X)|~creative(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((~creative(X)&~kind(X)))))&
(((wise(mary)&~tall(mary)))=>((~generous(alice)<~>~humble(alice))))&
(![X]:((old(X)&kind(X))=>(~creative(X)&~rich(X))))&
(![X]:((tall(X)<~>wise(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((quiet(X)&~ca... | strong(lucy) | [
"p1",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1247681605031717581669805
% SZS output start Proof for 1247681605031717581669805
2. ? [X0] : ~strong(X0) <=> ? [X0] : (~kind(X0) & ~creative(X0)) [input p1]
8. ! [X0] : (~strong(X0) <=> (~kind(X0) <~> curious(X0))) [input p7]
9. ! [X0] : ((~patient(X0) <~> patient(X0)) => (strong(X0) | cr... | 0 |
Everyone who is both not kind and kind is creative and vice versa. Everyone who is not humble or brave is either not funny or not brave. Everyone who is old or kind is funny and vice versa. Everyone who is both rich and not tall is not funny or kind and vice versa. Everyone who is both not old and rich is both not rich... | Lucy is not kind. | neutral | (![X]:((~kind(X)&kind(X))<=>creative(X)))&
(![X]:((~humble(X)|brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((old(X)|kind(X))<=>funny(X)))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~ta... | ~kind(lucy) | [] | null | 0 |
Everyone who is not kind or not calm is both brave and not old. If someone is either brave or strong then someone is brave. If susan is either rich or old then someone is both happy and patient. If someone is both not calm and tall then someone is not patient. If someone is both calm and tall then someone is both not c... | Alice is generous. | neutral | (![X]:((~kind(X)|~calm(X))=>(brave(X)&~old(X))))&
((?[X]:((brave(X)<~>strong(X))))=>(?[X]:(brave(X))))&
(((rich(susan)<~>old(susan)))=>(?[X]:((happy(X)&patient(X)))))&
((?[X]:((~calm(X)&tall(X))))=>(?[X]:(~patient(X))))&
((?[X]:((calm(X)&tall(X))))=>(?[X]:((~curious(X)&humble(X)))))&
(![X]:((~generous(X)|humble(X))<=>(... | generous(alice) | [] | null | 0 |
Everyone who is either not humble or not generous is not happy. Everyone who is both not tall and not brave is both not tall and not happy. Everyone who is not wise is either not patient or humble. If mary is not creative then someone is either not wise or wise and vice versa. Everyone who is not old or not rich is bot... | Alice is brave. | neutral | (![X]:((~humble(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)&~brave(X))=>(~tall(X)&~happy(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>humble(X))))&
((~creative(mary))<=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((~old(X)|~rich(X))=>(tall(X)&happy(X))))&
((?[X]:((~tall(X)<~>wise(X))))=>(?[X]:((calm(X)<~>~quiet(X)))))&
(![X]... | brave(alice) | [] | null | 0 |
If someone is either not happy or not patient then mary is not creative. If someone is not curious or not kind then paul is both creative and not generous. Everyone who is not funny or not quiet is not funny or creative and vice versa. If someone is not brave or not generous then susan is not patient. Everyone who is e... | Paul is not old. | entailment | ((?[X]:((~happy(X)<~>~patient(X))))=>(~creative(mary)))&
((?[X]:((~curious(X)|~kind(X))))=>((creative(paul)&~generous(paul))))&
(![X]:((~funny(X)|~quiet(X))<=>(~funny(X)|creative(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(~patient(susan)))&
(![X]:((~happy(X)<~>~brave(X))=>(funny(X)&~generous(X))))&
(![X]:((rich(X)<~>~... | ~old(paul) | [
"p1",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 362845607320834119454302
% SZS output start Proof for 362845607320834119454302
2. ? [X0] : (~kind(X0) | ~curious(X0)) => (~generous(paul) & creative(paul)) [input p1]
15. ! [X0] : (~kind(X0) <=> (~brave(X0) | old(X0))) [input p14]
21. generous(paul) & brave(paul) [input p20]
23. old(paul)... | 0 |
If someone is not rich then someone is not calm.
Everyone who is not curious or humble is either quiet or not rich and vice versa.
If someone is brave or not humble then paul is not generous or not kind and vice versa.
If someone is not curious then mary is both brave and not curious and vice versa.
If fred is either p... | Susan is not patient. | entailment | ((?[X]:(~rich(X)))=>(?[X]:(~calm(X))))&
(![X]:((~curious(X)|humble(X))<=>(quiet(X)<~>~rich(X))))&
((?[X]:((brave(X)|~humble(X))))<=>((~generous(paul)|~kind(paul))))&
((?[X]:(~curious(X)))<=>((brave(mary)&~curious(mary))))&
(((patient(fred)<~>~happy(fred)))=>((~funny(susan)<~>~creative(susan))))&
(![X]:(strong(X)<=>(old... | ~patient(susan) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p13",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4237289382835864020678018
% SZS output start Proof for 4237289382835864020678018
2. ! [X0] : ((humble(X0) | ~curious(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p1]
5. (patient(fred) <~> ~happy(fred)) => (~funny(susan) <~> ~creative(susan)) [input p4]
6. ! [X0] : (strong(X0) <=> (~strong(X... | 0 |
If fred is not generous then susan is not wise and vice versa. If alice is both happy and wise then someone is not patient or not strong. Everyone who is not quiet is not wise or rich and vice versa. Everyone who is both old and not patient is old or rich and vice versa. Everyone who is not quiet is either funny or not... | Fred is generous. | contradiction | ((~generous(fred))<=>(~wise(susan)))&
(((happy(alice)&wise(alice)))=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:(~quiet(X)<=>(~wise(X)|rich(X))))&
(![X]:((old(X)&~patient(X))<=>(old(X)|rich(X))))&
(![X]:(~quiet(X)=>(funny(X)<~>~tall(X))))&
(![X]:((~tall(X)&~quiet(X))<=>(brave(X)&funny(X))))&
(((~humble(susan)<~>tall(sus... | generous(fred) | [
"p2",
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5907952647673737289995125
% SZS output start Proof for 5907952647673737289995125
3. ! [X0] : (~quiet(X0) <=> (rich(X0) | ~wise(X0))) [input p2]
5. ! [X0] : (~quiet(X0) => (funny(X0) <~> ~tall(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & ~tall(X0)) <=> (funny(X0) & brave(X0))) [input p5]
10... | 0 |
If john is both brave and rich then susan is either humble or not curious.
Everyone who is tall or not generous is both curious and humble.
If susan is both quiet and tall then lucy is not rich.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is ri... | Lucy is not humble. | entailment | (((brave(john)&rich(john)))=>((humble(susan)<~>~curious(susan))))&
(![X]:((tall(X)|~generous(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~cur... | ~humble(lucy) | [
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6918890046176590465811036
% SZS output start Proof for 6918890046176590465811036
6. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~curious(lucy)) [input p5]
9. ! [X0] : ((wise(X0) & ~creative(X0)) <=> strong(X0)) [input p8]
10. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X... | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Susan is quiet. | contradiction | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | quiet(susan) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6205468092640966312288848
% SZS output start Proof for 6205468092640966312288848
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ... | 0 |
Everyone who is both tall and not humble is both patient and not strong and vice versa.
Everyone who is funny is either quiet or not brave.
If someone is not patient or happy then susan is not kind or not brave.
If someone is either not happy or not wise then someone is quiet.
Everyone who is wise or not strong is not ... | Fred is brave. | entailment | (![X]:((tall(X)&~humble(X))<=>(patient(X)&~strong(X))))&
(![X]:(funny(X)=>(quiet(X)<~>~brave(X))))&
((?[X]:((~patient(X)|happy(X))))=>((~kind(susan)|~brave(susan))))&
((?[X]:((~happy(X)<~>~wise(X))))=>(?[X]:(quiet(X))))&
(![X]:((wise(X)|~strong(X))=>~generous(X)))&
(![X]:(old(X)=>~humble(X)))&
(![X]:((~funny(X)|~brave(... | brave(fred) | [
"p5",
"p7",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 149892881211130640667547
% SZS output start Proof for 149892881211130640667547
6. ! [X0] : (old(X0) => ~humble(X0)) [input p5]
8. ! [X0] : ((~curious(X0) | calm(X0)) <=> ~kind(X0)) [input p7]
15. ! [X0] : (~humble(X0) <=> ~kind(X0)) [input p14]
16. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (... | 0 |
If someone is both not calm and old then someone is either not brave or not strong and vice versa.
If someone is both not kind and not strong then mary is both not creative and patient and vice versa.
Everyone who is old or not tall is happy or generous and vice versa.
Everyone who is not curious or not happy is happy.... | John is old. | neutral | ((?[X]:((~calm(X)&old(X))))<=>(?[X]:((~brave(X)<~>~strong(X)))))&
((?[X]:((~kind(X)&~strong(X))))<=>((~creative(mary)&patient(mary))))&
(![X]:((old(X)|~tall(X))<=>(happy(X)|generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(... | old(john) | [] | null | 0 |
Everyone who is both not kind and not funny is not tall and vice versa.
Everyone who is both not happy and not creative is curious or not curious and vice versa.
Everyone who is not quiet is both humble and quiet.
If someone is creative or not humble then someone is both wise and funny and vice versa.
Everyone who is n... | Fred is not tall. | contradiction | (![X]:((~kind(X)&~funny(X))<=>~tall(X)))&
(![X]:((~happy(X)&~creative(X))<=>(curious(X)|~curious(X))))&
(![X]:(~quiet(X)=>(humble(X)&quiet(X))))&
((?[X]:((creative(X)|~humble(X))))<=>(?[X]:((wise(X)&funny(X)))))&
(![X]:(~humble(X)=>quiet(X)))&
((~quiet(fred))<=>((wise(alice)<~>~funny(alice))))&
(((~humble(paul)|~wise(p... | ~tall(fred) | [
"p0",
"p1",
"p2",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9193380157066398394376
% SZS output start Proof for 9193380157066398394376
1. ! [X0] : ((~funny(X0) & ~kind(X0)) <=> ~tall(X0)) [input p0]
2. ! [X0] : ((~creative(X0) & ~happy(X0)) <=> (~curious(X0) | curious(X0))) [input p1]
3. ! [X0] : (~quiet(X0) => (quiet(X0) & humble(X0))) [input p2]... | 0 |
Everyone who is funny or rich is not kind and vice versa.
Everyone who is either old or strong is both not strong and curious.
If someone is either creative or humble then someone is not patient and vice versa.
If someone is not brave then someone is either not calm or generous and vice versa.
Everyone who is not rich ... | John is humble. | neutral | (![X]:((funny(X)|rich(X))<=>~kind(X)))&
(![X]:((old(X)<~>strong(X))=>(~strong(X)&curious(X))))&
((?[X]:((creative(X)<~>humble(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:(~rich(X)<=>~happy(X)))&
((?[X]:((~generous(X)&kind(X))))=>(~calm(alice)))&
(![X]:(~generous(X)<=>(... | humble(john) | [] | null | 0 |
Everyone who is not funny is both not calm and kind.
Everyone who is patient is humble or not curious.
If someone is not quiet then fred is not creative or patient and vice versa.
Everyone who is wise is not brave.
Everyone who is both humble and not quiet is either old or funny and vice versa.
Everyone who is both not... | Alice is not old. | contradiction | (![X]:(~funny(X)=>(~calm(X)&kind(X))))&
(![X]:(patient(X)=>(humble(X)|~curious(X))))&
((?[X]:(~quiet(X)))<=>((~creative(fred)|patient(fred))))&
(![X]:(wise(X)=>~brave(X)))&
(![X]:((humble(X)&~quiet(X))<=>(old(X)<~>funny(X))))&
(![X]:((~generous(X)&generous(X))<=>(humble(X)&kind(X))))&
(![X]:((~creative(X)|~patient(X))<... | ~old(alice) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2983968622330968627912925
% SZS output start Proof for 2983968622330968627912925
1. ! [X0] : (~funny(X0) => (kind(X0) & ~calm(X0))) [input p0]
5. ! [X0] : ((~quiet(X0) & humble(X0)) <=> (old(X0) <~> funny(X0))) [input p4]
6. ! [X0] : ((generous(X0) & ~generous(X0)) <=> (kind(X0) & humble(... | 0 |
Everyone who is kind or wise is not rich or humble and vice versa.
If someone is patient then mary is not wise or not quiet.
Everyone who is both creative and strong is either creative or not generous.
If alice is both wise and not humble then someone is generous or not curious and vice versa.
Everyone who is wise or h... | Alice is funny. | entailment | (![X]:((kind(X)|wise(X))<=>(~rich(X)|humble(X))))&
((?[X]:(patient(X)))=>((~wise(mary)|~quiet(mary))))&
(![X]:((creative(X)&strong(X))=>(creative(X)<~>~generous(X))))&
(((wise(alice)&~humble(alice)))<=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((wise(X)|happy(X))<=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)|~wise(X))<=... | funny(alice) | [
"p0",
"p3",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7717188565652860540858993
% SZS output start Proof for 7717188565652860540858993
1. ! [X0] : ((wise(X0) | kind(X0)) <=> (humble(X0) | ~rich(X0))) [input p0]
4. (~humble(alice) & wise(alice)) <=> ? [X0] : (~curious(X0) | generous(X0)) [input p3]
6. ! [X0] : ((~wise(X0) | ~curious(X0)) <=> ... | 0 |
If someone is not brave or not calm then paul is either not generous or generous and vice versa. If someone is either patient or rich then paul is not strong or not brave and vice versa. If paul is not wise then susan is either generous or strong. Everyone who is old is both brave and strong and vice versa. Everyone wh... | Fred is patient. | contradiction | ((?[X]:((~brave(X)|~calm(X))))<=>((~generous(paul)<~>generous(paul))))&
((?[X]:((patient(X)<~>rich(X))))<=>((~strong(paul)|~brave(paul))))&
((~wise(paul))=>((generous(susan)<~>strong(susan))))&
(![X]:(old(X)<=>(brave(X)&strong(X))))&
(![X]:((funny(X)<~>curious(X))=>(~creative(X)<~>~patient(X))))&
(![X]:(~curious(X)<=>(... | patient(fred) | [
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6958204569410729124256146
% SZS output start Proof for 6958204569410729124256146
15. ? [X0] : (~old(X0) | generous(X0)) <=> (~humble(fred) & ~patient(fred)) [input p14]
24. ? [X0] : generous(X0) [input p23]
25. patient(fred) [input hypothesis]
58. (? [X0] : (~old(X0) | generous(X0)) | (hu... | 0 |
If someone is either calm or not kind then someone is both happy and not quiet.
If someone is either not old or not tall then susan is not humble or not strong and vice versa.
Everyone who is either not wise or not kind is calm.
Everyone who is both happy and old is not quiet or humble and vice versa.
Everyone who is w... | Mary is calm. | contradiction | ((?[X]:((calm(X)<~>~kind(X))))=>(?[X]:((happy(X)&~quiet(X)))))&
((?[X]:((~old(X)<~>~tall(X))))<=>((~humble(susan)|~strong(susan))))&
(![X]:((~wise(X)<~>~kind(X))=>calm(X)))&
(![X]:((happy(X)&old(X))<=>(~quiet(X)|humble(X))))&
(![X]:((wise(X)|happy(X))<=>(~humble(X)<~>~old(X))))&
(((~tall(mary)<~>~rich(mary)))<=>(?[X]:(... | calm(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7359792305378794809246153
% SZS output start Proof for 7359792305378794809246153
18. ~calm(mary) [input p17]
24. calm(mary) [input hypothesis]
146. ~calm(mary) [cnf transformation 18]
154. calm(mary) [cnf transformation 24]
247. 17 <=> calm(mary) [avatar definition]
318. ~17 [avatar split... | 0 |
If someone is either kind or not creative then susan is both generous and not rich. Everyone who is old or wise is not tall or happy. Everyone who is generous or not patient is both not brave and old. Everyone who is either not funny or not brave is not brave or wise and vice versa. Everyone who is funny is rich or not... | Fred is not curious. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(X)<... | ~curious(fred) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2261617220972943480988587
% SZS output start Proof for 2261617220972943480988587
7. ! [X0] : ((strong(X0) <~> rich(X0)) <=> (~curious(X0) & ~rich(X0))) [input p6]
14. ! [X0] : ((happy(X0) & curious(X0)) <=> (~brave(X0) | strong(X0))) [input p13]
23. ~curious(fred) [input hypothesis]
40. !... | 0 |
Everyone who is both not patient and creative is kind or creative and vice versa. If someone is not creative then someone is both not humble and not creative. If someone is either old or not patient then someone is funny and vice versa. If fred is both not rich and curious then paul is both happy and not tall and vice ... | Alice is strong. | neutral | (![X]:((~patient(X)&creative(X))<=>(kind(X)|creative(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)<~>~patient(X))))<=>(?[X]:(funny(X))))&
(((~rich(fred)&curious(fred)))<=>((happy(paul)&~tall(paul))))&
(((~curious(lucy)<~>brave(lucy)))<=>((~generous(john)<~>~funny(john))))&
(![X]:((... | strong(alice) | [] | null | 0 |
Everyone who is both not rich and humble is both kind and not calm.
Everyone who is not tall is either funny or not curious.
Everyone who is either kind or not creative is patient and vice versa.
If susan is either not tall or not wise then someone is not patient and vice versa.
If someone is either humble or not old t... | Fred is generous. | neutral | (![X]:((~rich(X)&humble(X))=>(kind(X)&~calm(X))))&
(![X]:(~tall(X)=>(funny(X)<~>~curious(X))))&
(![X]:((kind(X)<~>~creative(X))<=>patient(X)))&
(((~tall(susan)<~>~wise(susan)))<=>(?[X]:(~patient(X))))&
((?[X]:((humble(X)<~>~old(X))))<=>((old(lucy)&funny(lucy))))&
(![X]:((~brave(X)|~curious(X))<=>(tall(X)&humble(X))))&
... | generous(fred) | [] | null | 0 |
Everyone who is both not brave and not quiet is both not funny and not patient and vice versa.
If someone is not old then someone is not brave or quiet and vice versa.
Everyone who is either happy or not old is not quiet and vice versa.
If susan is not quiet then mary is either creative or not strong and vice versa.
Ev... | Fred is not tall. | contradiction | (![X]:((~brave(X)&~quiet(X))<=>(~funny(X)&~patient(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((happy(X)<~>~old(X))<=>~quiet(X)))&
((~quiet(susan))<=>((creative(mary)<~>~strong(mary))))&
(![X]:(~old(X)=>patient(X)))&
(((old(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
((?[X]:((~patient(X)<~>... | ~tall(fred) | [
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 876699533222088320256397
% SZS output start Proof for 876699533222088320256397
11. ! [X0] : ((patient(X0) | kind(X0)) => (~humble(X0) & happy(X0))) [input p10]
12. ! [X0] : ((~strong(X0) | patient(X0)) <=> (quiet(X0) | ~tall(X0))) [input p11]
23. strong(fred) & humble(fred) [input p22]
25... | 0 |
If someone is not brave or not calm then someone is not quiet and vice versa. If lucy is either curious or strong then someone is not quiet. Everyone who is brave or calm is tall. Everyone who is both generous and happy is not tall or calm and vice versa. If mary is both kind and happy then susan is both not brave and ... | Mary is rich. | neutral | ((?[X]:((~brave(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((brave(X)|calm(X))=>tall(X)))&
(![X]:((generous(X)&happy(X))<=>(~tall(X)|calm(X))))&
(((kind(mary)&happy(mary)))<=>((~brave(susan)&~old(susan))))&
(((humble(susan)|~kind(susan)))<=>(?[X]:((patient(X)|wis... | rich(mary) | [] | null | 0 |
Everyone who is not wise is both not brave and wise and vice versa.
Everyone who is not calm or old is either patient or not quiet.
Everyone who is curious or not strong is not tall.
Everyone who is both calm and not patient is either humble or not humble and vice versa.
Everyone who is creative is humble.
Everyone who... | Paul is creative. | contradiction | (![X]:(~wise(X)<=>(~brave(X)&wise(X))))&
(![X]:((~calm(X)|old(X))=>(patient(X)<~>~quiet(X))))&
(![X]:((curious(X)|~strong(X))=>~tall(X)))&
(![X]:((calm(X)&~patient(X))<=>(humble(X)<~>~humble(X))))&
(![X]:(creative(X)=>humble(X)))&
(![X]:((~generous(X)|tall(X))=>(~happy(X)<~>calm(X))))&
(![X]:((~kind(X)<~>wise(X))=>stro... | creative(paul) | [
"p2",
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4233784825762898622371748
% SZS output start Proof for 4233784825762898622371748
3. ! [X0] : ((~strong(X0) | curious(X0)) => ~tall(X0)) [input p2]
5. ! [X0] : (creative(X0) => humble(X0)) [input p4]
9. strong(susan) <=> (~old(john) & old(john)) [input p8]
15. ? [X0] : (humble(X0) | rich(X... | 0 |
Everyone who is humble or not generous is either not quiet or calm and vice versa.
If paul is not strong then someone is either curious or not generous.
If mary is rich or not strong then mary is generous and vice versa.
If someone is not humble or not creative then someone is not generous or rich and vice versa.
If so... | Lucy is generous. | entailment | (![X]:((humble(X)|~generous(X))<=>(~quiet(X)<~>calm(X))))&
((~strong(paul))=>(?[X]:((curious(X)<~>~generous(X)))))&
(((rich(mary)|~strong(mary)))<=>(generous(mary)))&
((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((rich(X)|strong(X))))=>(?[X]:((patient(X)<~>tall(X)))))&
(![X]:((rich(X)&... | generous(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6454988912804072541450343
% SZS output start Proof for 6454988912804072541450343
19. generous(lucy) [input p18]
25. ~generous(lucy) [input hypothesis]
135. generous(lucy) [cnf transformation 19]
142. ~generous(lucy) [cnf transformation 25]
296. $false [subsumption resolution 142,135]
% SZ... | 0 |
Everyone who is happy or not curious is both not kind and not quiet.
Everyone who is both not happy and not strong is rich or quiet.
If john is not generous then someone is not creative and vice versa.
Everyone who is not creative or generous is both not kind and not tall and vice versa.
Everyone who is either not stro... | Mary is old. | entailment | (![X]:((happy(X)|~curious(X))=>(~kind(X)&~quiet(X))))&
(![X]:((~happy(X)&~strong(X))=>(rich(X)|quiet(X))))&
((~generous(john))<=>(?[X]:(~creative(X))))&
(![X]:((~creative(X)|generous(X))<=>(~kind(X)&~tall(X))))&
(![X]:((~strong(X)<~>~kind(X))=>rich(X)))&
(![X]:(funny(X)<=>(~old(X)<~>kind(X))))&
(![X]:((~patient(X)&rich... | old(mary) | [
"p0",
"p3",
"p5",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2216546473607425823967920
% SZS output start Proof for 2216546473607425823967920
1. ! [X0] : ((~curious(X0) | happy(X0)) => (~quiet(X0) & ~kind(X0))) [input p0]
4. ! [X0] : ((generous(X0) | ~creative(X0)) <=> (~tall(X0) & ~kind(X0))) [input p3]
6. ! [X0] : (funny(X0) <=> (~old(X0) <~> kin... | 0 |
Everyone who is both not funny and funny is both curious and kind and vice versa.
Everyone who is not humble or wise is not creative or kind.
Everyone who is not funny is curious.
Everyone who is either not generous or not creative is either not curious or not generous and vice versa.
If someone is either happy or not ... | Alice is rich. | entailment | (![X]:((~funny(X)&funny(X))<=>(curious(X)&kind(X))))&
(![X]:((~humble(X)|wise(X))=>(~creative(X)|kind(X))))&
(![X]:(~funny(X)=>curious(X)))&
(![X]:((~generous(X)<~>~creative(X))<=>(~curious(X)<~>~generous(X))))&
((?[X]:((happy(X)<~>~rich(X))))=>((strong(alice)<~>quiet(alice))))&
(![X]:((humble(X)&~curious(X))<=>humble(... | rich(alice) | [
"p0",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3786377393803716224415582
% SZS output start Proof for 3786377393803716224415582
1. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (kind(X0) & curious(X0))) [input p0]
10. ! [X0] : ((calm(X0) | ~quiet(X0)) <=> (patient(X0) <~> ~rich(X0))) [input p9]
13. ! [X0] : (~curious(X0) <=> patient(X0)) [in... | 0 |
If alice is not brave then someone is not quiet and vice versa.
Everyone who is both not quiet and not rich is not calm or patient and vice versa.
Everyone who is both not old and not wise is not funny or patient and vice versa.
Everyone who is either not old or quiet is not tall and vice versa.
Everyone who is not ric... | John is not old. | entailment | ((~brave(alice))<=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)&~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~old(X)&~wise(X))<=>(~funny(X)|patient(X))))&
(![X]:((~old(X)<~>quiet(X))<=>~tall(X)))&
(![X]:((~rich(X)|~happy(X))=>(calm(X)&~humble(X))))&
((?[X]:((generous(X)&tall(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:(stron... | ~old(john) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1358354231267901694272372
% SZS output start Proof for 1358354231267901694272372
2. ! [X0] : ((~rich(X0) & ~quiet(X0)) <=> (patient(X0) | ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & ~old(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> ~tall(X... | 0 |
Everyone who is funny or happy is both not happy and brave.
If someone is tall then fred is both not rich and not calm and vice versa.
Everyone who is either not generous or not patient is not calm or creative.
Everyone who is both not patient and not kind is both not generous and brave and vice versa.
Everyone who is ... | Fred is patient. | entailment | (![X]:((funny(X)|happy(X))=>(~happy(X)&brave(X))))&
((?[X]:(tall(X)))<=>((~rich(fred)&~calm(fred))))&
(![X]:((~generous(X)<~>~patient(X))=>(~calm(X)|creative(X))))&
(![X]:((~patient(X)&~kind(X))<=>(~generous(X)&brave(X))))&
(![X]:((wise(X)|funny(X))<=>(kind(X)&~generous(X))))&
(![X]:(quiet(X)=>(~patient(X)&~old(X))))&
... | patient(fred) | [
"p0",
"p3",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3636633306629715059140288
% SZS output start Proof for 3636633306629715059140288
1. ! [X0] : ((happy(X0) | funny(X0)) => (brave(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (brave(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((funny(X0) | wise(X0)) <=> (~gener... | 0 |
Everyone who is either not happy or not creative is both not wise and not patient and vice versa. Everyone who is not rich is not strong or wise. Everyone who is both old and not humble is tall or not calm. Everyone who is funny or not funny is funny. Everyone who is both not brave and not generous is both patient and ... | Mary is not brave. | neutral | (![X]:((~happy(X)<~>~creative(X))<=>(~wise(X)&~patient(X))))&
(![X]:(~rich(X)=>(~strong(X)|wise(X))))&
(![X]:((old(X)&~humble(X))=>(tall(X)|~calm(X))))&
(![X]:((funny(X)|~funny(X))=>funny(X)))&
(![X]:((~brave(X)&~generous(X))<=>(patient(X)&~quiet(X))))&
(((quiet(alice)|~rich(alice)))<=>(?[X]:(~kind(X))))&
(((~generous(... | ~brave(mary) | [] | null | 0 |
If someone is rich or calm then susan is generous or happy. Everyone who is both not humble and patient is both not happy and strong and vice versa. Everyone who is not patient is both not funny and strong. If someone is either patient or not curious then someone is kind and vice versa. If someone is either not old or ... | Susan is generous. | entailment | ((?[X]:((rich(X)|calm(X))))=>((generous(susan)|happy(susan))))&
(![X]:((~humble(X)&patient(X))<=>(~happy(X)&strong(X))))&
(![X]:(~patient(X)=>(~funny(X)&strong(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~old(X)<~>~funny(X))))=>((~creative(fred)<~>~rich(fred))))&
(![X]:((rich(X)<~>~rich(X)... | generous(susan) | [
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5607936524861610480511991
% SZS output start Proof for 5607936524861610480511991
6. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> ~creative(X0)) [input p5]
9. ! [X0] : ((rich(X0) & curious(X0)) <=> (~creative(X0) | ~funny(X0))) [input p8]
16. ! [X0] : ((curious(X0) | ~humble(X0)) => generous(X0)... | 0 |
Everyone who is old or patient is kind or not old. If susan is either not generous or strong then someone is not rich. If someone is wise or kind then someone is wise or tall and vice versa. If someone is not strong or not rich then someone is either not kind or not funny and vice versa. If someone is not brave then ma... | Paul is not rich. | contradiction | (![X]:((old(X)|patient(X))=>(kind(X)|~old(X))))&
(((~generous(susan)<~>strong(susan)))=>(?[X]:(~rich(X))))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((~strong(X)|~rich(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
((?[X]:(~brave(X)))<=>(rich(mary)))&
(![X]:((~wise(X)&~strong(X))=>(~brave(X)|curious... | ~rich(paul) | [
"p11",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2598510529353318239780116
% SZS output start Proof for 2598510529353318239780116
12. ! [X0] : ((wise(X0) | ~rich(X0)) => (~rich(X0) & ~calm(X0))) [input p11]
13. ! [X0] : ((~tall(X0) <~> happy(X0)) <=> happy(X0)) [input p12]
16. ? [X0] : (~tall(X0) & creative(X0)) <=> ? [X0] : humble(X0) ... | 0 |
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