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 both not curious and kind is not strong or tall.
Everyone who is funny or creative is both not strong and tall.
Everyone who is not brave or not patient is not funny.
Everyone who is happy or not tall is either not generous or generous and vice versa.
Everyone who is happy or brave is rich and vice vers... | Paul is quiet. | entailment | (![X]:((~curious(X)&kind(X))=>(~strong(X)|tall(X))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~generous(X)<~>generous(X))))&
(![X]:((happy(X)|brave(X))<=>rich(X)))&
(![X]:((curious(X)|kind(X))=>(~old(X)&~curious(X))))&
(((strong(p... | quiet(paul) | [
"p1",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4018098788332103313485481
% SZS output start Proof for 4018098788332103313485481
2. ! [X0] : ((creative(X0) | funny(X0)) => (tall(X0) & ~strong(X0))) [input p1]
6. ! [X0] : ((kind(X0) | curious(X0)) => (~curious(X0) & ~old(X0))) [input p5]
10. ! [X0] : ((~funny(X0) | quiet(X0)) => (~calm(... | 0 |
Everyone who is either not curious or generous is wise and vice versa.
Everyone who is either not wise or not strong is not creative or rich.
Everyone who is generous or not calm is either patient or not humble and vice versa.
If lucy is either not happy or calm then someone is either curious or not curious and vice ve... | Lucy is not generous. | neutral | (![X]:((~curious(X)<~>generous(X))<=>wise(X)))&
(![X]:((~wise(X)<~>~strong(X))=>(~creative(X)|rich(X))))&
(![X]:((generous(X)|~calm(X))<=>(patient(X)<~>~humble(X))))&
(((~happy(lucy)<~>calm(lucy)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((happy(alice))<=>(?[X]:((wise(X)|~happy(X)))))&
((~creative(susan))<=>(?[X]:((~ca... | ~generous(lucy) | [] | null | 0 |
If someone is kind or happy then someone is not happy or brave and vice versa. Everyone who is both brave and not strong is curious or not funny and vice versa. If someone is strong or not old then lucy is either not old or not tall and vice versa. If someone is quiet then john is wise. Everyone who is humble is not st... | Alice is not funny. | contradiction | ((?[X]:((kind(X)|happy(X))))<=>(?[X]:((~happy(X)|brave(X)))))&
(![X]:((brave(X)&~strong(X))<=>(curious(X)|~funny(X))))&
((?[X]:((strong(X)|~old(X))))<=>((~old(lucy)<~>~tall(lucy))))&
((?[X]:(quiet(X)))=>(wise(john)))&
(![X]:(humble(X)<=>(~strong(X)|~patient(X))))&
(((~funny(paul)|~quiet(paul)))<=>(?[X]:((~brave(X)<~>~f... | ~funny(alice) | [
"p1",
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 848749957139014205956124
% SZS output start Proof for 848749957139014205956124
2. ! [X0] : ((~strong(X0) & brave(X0)) <=> (~funny(X0) | curious(X0))) [input p1]
6. (~quiet(paul) | ~funny(paul)) <=> ? [X0] : (~brave(X0) <~> ~funny(X0)) [input p5]
10. (patient(paul) & quiet(paul)) <=> ? [X0... | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Mary is not humble. | neutral | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | ~humble(mary) | [] | null | 0 |
If someone is not brave then susan is either curious or brave.
If someone is both creative and humble then someone is not happy.
Everyone who is both not old and not curious is both not strong and not quiet and vice versa.
Everyone who is funny or wise is tall.
Everyone who is either not happy or not creative is kind o... | Paul is not curious. | contradiction | ((?[X]:(~brave(X)))=>((curious(susan)<~>brave(susan))))&
((?[X]:((creative(X)&humble(X))))=>(?[X]:(~happy(X))))&
(![X]:((~old(X)&~curious(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((funny(X)|wise(X))=>tall(X)))&
(![X]:((~happy(X)<~>~creative(X))=>(kind(X)|~rich(X))))&
(![X]:((wise(X)<~>~strong(X))=>~happy(X)))&
(![X]:((ric... | ~curious(paul) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2842453455638283487207326
% SZS output start Proof for 2842453455638283487207326
7. ! [X0] : ((~happy(X0) | rich(X0)) => (curious(X0) & ~happy(X0))) [input p6]
20. rich(paul) & ~old(paul) [input p19]
24. ~curious(paul) [input hypothesis]
35. ! [X0] : ((curious(X0) & ~happy(X0)) | (happy(X... | 0 |
Everyone who is both creative and calm is not calm and vice versa. If someone is rich then mary is either rich or creative. Everyone who is either wise or not strong is humble or strong and vice versa. If lucy is humble or curious then someone is either not rich or old. Everyone who is both wise and tall is not wise or... | Paul is tall. | neutral | (![X]:((creative(X)&calm(X))<=>~calm(X)))&
((?[X]:(rich(X)))=>((rich(mary)<~>creative(mary))))&
(![X]:((wise(X)<~>~strong(X))<=>(humble(X)|strong(X))))&
(((humble(lucy)|curious(lucy)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((wise(X)&tall(X))<=>(~wise(X)|generous(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((~quiet(X... | tall(paul) | [] | null | 0 |
Everyone who is either not funny or old is not old and vice versa. If mary is both not wise and creative then someone is not strong and vice versa. Everyone who is not generous or not wise is wise or not creative and vice versa. If lucy is quiet or not creative then paul is creative or not funny and vice versa. Everyon... | Lucy is not kind. | contradiction | (![X]:((~funny(X)<~>old(X))<=>~old(X)))&
(((~wise(mary)&creative(mary)))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)|~wise(X))<=>(wise(X)|~creative(X))))&
(((quiet(lucy)|~creative(lucy)))<=>((creative(paul)|~funny(paul))))&
(![X]:((generous(X)|~old(X))<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X... | ~kind(lucy) | [
"p0",
"p1",
"p2",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6882879581422058726427508
% SZS output start Proof for 6882879581422058726427508
1. ! [X0] : ((~funny(X0) <~> old(X0)) <=> ~old(X0)) [input p0]
2. (creative(mary) & ~wise(mary)) <=> ? [X0] : ~strong(X0) [input p1]
3. ! [X0] : ((~wise(X0) | ~generous(X0)) <=> (~creative(X0) | wise(X0))) [i... | 0 |
If someone is either not funny or not creative then fred is both calm and humble and vice versa. If someone is either calm or not kind then someone is either not happy or quiet and vice versa. If mary is either patient or rich then someone is funny and vice versa. If john is not funny then fred is not humble or not str... | Susan is not wise. | contradiction | ((?[X]:((~funny(X)<~>~creative(X))))<=>((calm(fred)&humble(fred))))&
((?[X]:((calm(X)<~>~kind(X))))<=>(?[X]:((~happy(X)<~>quiet(X)))))&
(((patient(mary)<~>rich(mary)))<=>(?[X]:(funny(X))))&
((~funny(john))<=>((~humble(fred)|~strong(fred))))&
((?[X]:((~strong(X)&quiet(X))))=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((~curi... | ~wise(susan) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3503603994243766840696541
% SZS output start Proof for 3503603994243766840696541
6. ! [X0] : ((~strong(X0) | ~curious(X0)) => wise(X0)) [input p5]
15. ! [X0] : (~curious(X0) <=> (~happy(X0) <~> happy(X0))) [input p14]
24. ~wise(susan) [input hypothesis]
27. ! [X0] : ((~happy(X0) <~> happy... | 0 |
Everyone who is strong or not calm is calm.
Everyone who is both not curious and old is not funny or kind and vice versa.
Everyone who is humble or quiet is either tall or not strong.
If someone is not brave then fred is not calm or not wise.
Everyone who is patient or tall is rich.
If susan is old then alice is tall o... | Susan is not brave. | neutral | (![X]:((strong(X)|~calm(X))=>calm(X)))&
(![X]:((~curious(X)&old(X))<=>(~funny(X)|kind(X))))&
(![X]:((humble(X)|quiet(X))=>(tall(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~calm(fred)|~wise(fred))))&
(![X]:((patient(X)|tall(X))=>rich(X)))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X)))... | ~brave(susan) | [] | null | 0 |
If paul is not strong or not calm then someone is both not wise and not strong and vice versa.
Everyone who is tall or not quiet is not kind or kind.
If susan is either not kind or funny then lucy is happy and vice versa.
If lucy is either not brave or not curious then mary is either not calm or not happy.
If someone i... | Susan is rich. | neutral | (((~strong(paul)|~calm(paul)))<=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:((tall(X)|~quiet(X))=>(~kind(X)|kind(X))))&
(((~kind(susan)<~>funny(susan)))<=>(happy(lucy)))&
(((~brave(lucy)<~>~curious(lucy)))=>((~calm(mary)<~>~happy(mary))))&
((?[X]:((~patient(X)&~generous(X))))=>(~kind(alice)))&
(((old(mary)|~wise(mary)))=>(... | rich(susan) | [] | null | 0 |
Everyone who is not generous or not creative is both not patient and wise and vice versa.
If someone is not kind then someone is kind and vice versa.
If fred is both creative and not humble then someone is curious or patient and vice versa.
Everyone who is both not funny and not strong is patient or curious and vice ve... | Fred is not happy. | contradiction | (![X]:((~generous(X)|~creative(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(kind(X))))&
(((creative(fred)&~humble(fred)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(patient(X)|curious(X))))&
((?[X]:((wise(X)&calm(X))))=>((patient(fred)&~brave(fred))))&
(((~humble(john)|~quiet(jo... | ~happy(fred) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7623474919377400451282009
% SZS output start Proof for 7623474919377400451282009
1. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> (wise(X0) & ~patient(X0))) [input p0]
4. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (curious(X0) | patient(X0))) [input p3]
5. ? [X0] : (calm(X0) & wise(X0)) => ... | 0 |
Everyone who is not brave is not strong.
Everyone who is rich is both not patient and not creative and vice versa.
If john is not calm then mary is happy or not patient and vice versa.
Everyone who is quiet is either patient or not creative.
If lucy is tall or not happy then lucy is either not old or humble and vice ve... | Fred is not old. | neutral | (![X]:(~brave(X)=>~strong(X)))&
(![X]:(rich(X)<=>(~patient(X)&~creative(X))))&
((~calm(john))<=>((happy(mary)|~patient(mary))))&
(![X]:(quiet(X)=>(patient(X)<~>~creative(X))))&
(((tall(lucy)|~happy(lucy)))<=>((~old(lucy)<~>humble(lucy))))&
(![X]:((creative(X)&~creative(X))=>(~strong(X)|patient(X))))&
((?[X]:((~old(X)|~... | ~old(fred) | [] | null | 0 |
Everyone who is not creative is not rich or not curious.
If fred is either not happy or not curious then mary is not humble and vice versa.
If fred is happy or old then john is either creative or not kind and vice versa.
If susan is both strong and creative then someone is either quiet or not quiet.
Everyone who is eit... | John is not kind. | entailment | (![X]:(~creative(X)=>(~rich(X)|~curious(X))))&
(((~happy(fred)<~>~curious(fred)))<=>(~humble(mary)))&
(((happy(fred)|old(fred)))<=>((creative(john)<~>~kind(john))))&
(((strong(susan)&creative(susan)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~patient(X)<~>quiet(X))=>(kind(X)|wise(X))))&
(![X]:((~patient(X)<~>kind(X))... | ~kind(john) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4432297308377561625291712
% SZS output start Proof for 4432297308377561625291712
22. brave(john) & ~kind(john) [input p21]
24. kind(john) [input hypothesis]
139. ~kind(john) [cnf transformation 22]
142. kind(john) [cnf transformation 24]
160. 4 <=> kind(john) [avatar definition]
331. ~4 [... | 0 |
If someone is humble or rich then someone is both old and not generous.
If fred is not wise then mary is tall or humble and vice versa.
If someone is both tall and generous then susan is not rich or not funny and vice versa.
Everyone who is either not happy or patient is both creative and humble and vice versa.
If some... | Susan is not curious. | contradiction | ((?[X]:((humble(X)|rich(X))))=>(?[X]:((old(X)&~generous(X)))))&
((~wise(fred))<=>((tall(mary)|humble(mary))))&
((?[X]:((tall(X)&generous(X))))<=>((~rich(susan)|~funny(susan))))&
(![X]:((~happy(X)<~>patient(X))<=>(creative(X)&humble(X))))&
((?[X]:((~strong(X)&~brave(X))))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
((?[X]:(~stro... | ~curious(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8980271365166988846756582
% SZS output start Proof for 8980271365166988846756582
8. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (~quiet(X0) & ~happy(X0))) [input p7]
9. ! [X0] : ((curious(X0) <~> ~quiet(X0)) => happy(X0)) [input p8]
22. ~curious(susan) [input hypothesis]
28. ! [X0] : (... | 0 |
Everyone who is funny is both patient and kind and vice versa.
Everyone who is not funny or not tall is either not strong or not patient and vice versa.
Everyone who is curious is both not old and not tall.
Everyone who is not wise is either not brave or not rich and vice versa.
Everyone who is not rich or not quiet is... | Paul is not funny. | entailment | (![X]:(funny(X)<=>(patient(X)&kind(X))))&
(![X]:((~funny(X)|~tall(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:(curious(X)=>(~old(X)&~tall(X))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(wise(X)|old(X))))&
(![X]:((brave(X)<~>calm(X))<=>(humble(X)<~>creative(X))))&
(((funny(mary)&patient(m... | ~funny(paul) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 572321469395814338941996
% SZS output start Proof for 572321469395814338941996
1. ! [X0] : (funny(X0) <=> (kind(X0) & patient(X0))) [input p0]
10. ! [X0] : (~kind(X0) <=> (~wise(X0) <~> wise(X0))) [input p9]
24. funny(paul) [input hypothesis]
35. ! [X0] : ((funny(X0) | (~kind(X0) | ~patie... | 0 |
Everyone who is either not creative or patient is both brave and kind. If someone is either patient or not kind then fred is both tall and wise. Everyone who is not strong is both curious and not rich and vice versa. Everyone who is both not tall and not patient is either old or not tall. If someone is not kind then su... | Lucy is not happy. | entailment | (![X]:((~creative(X)<~>patient(X))=>(brave(X)&kind(X))))&
((?[X]:((patient(X)<~>~kind(X))))=>((tall(fred)&wise(fred))))&
(![X]:(~strong(X)<=>(curious(X)&~rich(X))))&
(![X]:((~tall(X)&~patient(X))=>(old(X)<~>~tall(X))))&
((?[X]:(~kind(X)))=>((~humble(susan)|quiet(susan))))&
(((~calm(fred)&quiet(fred)))<=>((~kind(fred)&h... | ~happy(lucy) | [
"p1",
"p7",
"p10",
"p11",
"p13",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6239546465127075998486916
% SZS output start Proof for 6239546465127075998486916
2. ? [X0] : (patient(X0) <~> ~kind(X0)) => (wise(fred) & tall(fred)) [input p1]
8. ! [X0] : ((~old(X0) | ~humble(X0)) => (~old(X0) & curious(X0))) [input p7]
11. (strong(lucy) <~> happy(lucy)) <=> ? [X0] : cu... | 0 |
If someone is not rich or not funny then lucy is not tall or creative.
If lucy is not calm then fred is quiet and vice versa.
If someone is calm or not funny then john is not rich or creative and vice versa.
Everyone who is either not wise or not quiet is both not quiet and humble and vice versa.
Everyone who is happy ... | Alice is not old. | entailment | ((?[X]:((~rich(X)|~funny(X))))=>((~tall(lucy)|creative(lucy))))&
((~calm(lucy))<=>(quiet(fred)))&
((?[X]:((calm(X)|~funny(X))))<=>((~rich(john)|creative(john))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~quiet(X)&humble(X))))&
(![X]:((happy(X)|old(X))<=>(~quiet(X)|~old(X))))&
(((~funny(fred)|rich(fred)))=>((funny(fred)|old(fr... | ~old(alice) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1325236852376802511625471
% SZS output start Proof for 1325236852376802511625471
5. ! [X0] : ((old(X0) | happy(X0)) <=> (~old(X0) | ~quiet(X0))) [input p4]
22. quiet(alice) [input p21]
25. old(alice) [input hypothesis]
47. ! [X0] : (((old(X0) | happy(X0)) | (old(X0) & quiet(X0))) & ((~old... | 0 |
Everyone who is brave or calm is both not tall and old and vice versa.
Everyone who is both not humble and generous is either brave or not strong and vice versa.
If lucy is both not old and patient then fred is wise or not generous.
If susan is not curious or strong then someone is either not humble or old and vice ver... | Fred is not generous. | neutral | (![X]:((brave(X)|calm(X))<=>(~tall(X)&old(X))))&
(![X]:((~humble(X)&generous(X))<=>(brave(X)<~>~strong(X))))&
(((~old(lucy)&patient(lucy)))=>((wise(fred)|~generous(fred))))&
(((~curious(susan)|strong(susan)))<=>(?[X]:((~humble(X)<~>old(X)))))&
((?[X]:((brave(X)&tall(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((happy... | ~generous(fred) | [] | null | 0 |
If fred is creative or not creative then someone is humble or quiet and vice versa.
Everyone who is either wise or old is both calm and not tall.
Everyone who is not curious or not wise is both not brave and curious and vice versa.
Everyone who is old or kind is both not tall and wise.
If someone is not happy then some... | John is not wise. | contradiction | (((creative(fred)|~creative(fred)))<=>(?[X]:((humble(X)|quiet(X)))))&
(![X]:((wise(X)<~>old(X))=>(calm(X)&~tall(X))))&
(![X]:((~curious(X)|~wise(X))<=>(~brave(X)&curious(X))))&
(![X]:((old(X)|kind(X))=>(~tall(X)&wise(X))))&
((?[X]:(~happy(X)))=>(?[X]:(~old(X))))&
(![X]:((~rich(X)|~brave(X))=>old(X)))&
(((~patient(susan... | ~wise(john) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4822446857456528857342081
% SZS output start Proof for 4822446857456528857342081
3. ! [X0] : ((~wise(X0) | ~curious(X0)) <=> (curious(X0) & ~brave(X0))) [input p2]
4. ! [X0] : ((kind(X0) | old(X0)) => (wise(X0) & ~tall(X0))) [input p3]
6. ! [X0] : ((~brave(X0) | ~rich(X0)) => old(X0)) [in... | 0 |
Everyone who is rich or humble is either tall or not happy. Everyone who is either calm or creative is both funny and not strong. Everyone who is both tall and creative is both generous and calm. If someone is not tall or not calm then someone is humble or old and vice versa. If susan is calm then alice is both patient... | Alice is not humble. | contradiction | (![X]:((rich(X)|humble(X))=>(tall(X)<~>~happy(X))))&
(![X]:((calm(X)<~>creative(X))=>(funny(X)&~strong(X))))&
(![X]:((tall(X)&creative(X))=>(generous(X)&calm(X))))&
((?[X]:((~tall(X)|~calm(X))))<=>(?[X]:((humble(X)|old(X)))))&
((calm(susan))=>((patient(alice)&calm(alice))))&
((?[X]:((generous(X)|~humble(X))))=>((kind(m... | ~humble(alice) | [
"p5",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 930089636438707148242083
% SZS output start Proof for 930089636438707148242083
6. ? [X0] : (~humble(X0) | generous(X0)) => (~happy(mary) & kind(mary)) [input p5]
8. ! [X0] : ((happy(X0) | ~generous(X0)) <=> ~brave(X0)) [input p7]
10. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> funny(X0))... | 0 |
If susan is not funny or generous then fred is not humble or not creative.
Everyone who is not brave is not kind and vice versa.
If someone is both not creative and not old then someone is both humble and not old and vice versa.
Everyone who is either old or not brave is both not kind and not happy.
Everyone who is bot... | Fred is not calm. | neutral | (((~funny(susan)|generous(susan)))=>((~humble(fred)|~creative(fred))))&
(![X]:(~brave(X)<=>~kind(X)))&
((?[X]:((~creative(X)&~old(X))))<=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((old(X)<~>~brave(X))=>(~kind(X)&~happy(X))))&
(![X]:((~patient(X)&wise(X))=>(calm(X)|kind(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~tall(X)<~>~quie... | ~calm(fred) | [] | null | 0 |
Everyone who is wise is either not kind or old. Everyone who is both curious and not strong is both not generous and not tall. If someone is both generous and patient then someone is not calm. Everyone who is both creative and humble is either wise or not creative. Everyone who is both happy and brave is not tall or qu... | John is kind. | neutral | (![X]:(wise(X)=>(~kind(X)<~>old(X))))&
(![X]:((curious(X)&~strong(X))=>(~generous(X)&~tall(X))))&
((?[X]:((generous(X)&patient(X))))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&humble(X))=>(wise(X)<~>~creative(X))))&
(![X]:((happy(X)&brave(X))<=>(~tall(X)|quiet(X))))&
(![X]:(brave(X)=>(calm(X)|humble(X))))&
(![X]:((funny(... | kind(john) | [] | null | 0 |
If john is not rich or rich then fred is not curious or not quiet.
Everyone who is either old or wise is rich and vice versa.
Everyone who is either not kind or quiet is wise or funny.
If someone is both brave and quiet then paul is both patient and wise.
If lucy is both not tall and calm then mary is not humble or not... | Fred is generous. | contradiction | (((~rich(john)|rich(john)))=>((~curious(fred)|~quiet(fred))))&
(![X]:((old(X)<~>wise(X))<=>rich(X)))&
(![X]:((~kind(X)<~>quiet(X))=>(wise(X)|funny(X))))&
((?[X]:((brave(X)&quiet(X))))=>((patient(paul)&wise(paul))))&
(((~tall(lucy)&calm(lucy)))=>((~humble(mary)|~strong(mary))))&
((?[X]:((~generous(X)<~>~curious(X))))=>(... | generous(fred) | [
"p1",
"p6",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1682993586512104096742243
% SZS output start Proof for 1682993586512104096742243
2. ! [X0] : ((old(X0) <~> wise(X0)) <=> rich(X0)) [input p1]
7. ! [X0] : ((generous(X0) <~> ~patient(X0)) => (calm(X0) & kind(X0))) [input p6]
13. ? [X0] : (~funny(X0) | ~wise(X0)) => (~calm(fred) <~> ~patien... | 0 |
If someone is either not old or humble then fred is both not tall and not funny and vice versa.
Everyone who is quiet is brave or kind and vice versa.
If lucy is both not creative and tall then paul is happy.
If someone is curious then someone is calm.
Everyone who is patient or not kind is happy or funny and vice vers... | Mary is generous. | contradiction | ((?[X]:((~old(X)<~>humble(X))))<=>((~tall(fred)&~funny(fred))))&
(![X]:(quiet(X)<=>(brave(X)|kind(X))))&
(((~creative(lucy)&tall(lucy)))=>(happy(paul)))&
((?[X]:(curious(X)))=>(?[X]:(calm(X))))&
(![X]:((patient(X)|~kind(X))<=>(happy(X)|funny(X))))&
(![X]:((~tall(X)&strong(X))=>old(X)))&
((?[X]:(patient(X)))=>(?[X]:((ca... | generous(mary) | [
"p1",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7138824762211232590329952
% SZS output start Proof for 7138824762211232590329952
2. ! [X0] : (quiet(X0) <=> (kind(X0) | brave(X0))) [input p1]
12. ! [X0] : (~kind(X0) <=> (strong(X0) <~> ~quiet(X0))) [input p11]
13. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (generous(X0) & strong(X0))) [i... | 0 |
Everyone who is not humble or strong is old and vice versa.
Everyone who is calm or rich is quiet or happy and vice versa.
Everyone who is either patient or not humble is either patient or not tall.
Everyone who is funny is both not funny and wise.
Everyone who is quiet or old is not patient.
Everyone who is both not c... | Mary is not patient. | entailment | (![X]:((~humble(X)|strong(X))<=>old(X)))&
(![X]:((calm(X)|rich(X))<=>(quiet(X)|happy(X))))&
(![X]:((patient(X)<~>~humble(X))=>(patient(X)<~>~tall(X))))&
(![X]:(funny(X)=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)|old(X))=>~patient(X)))&
(![X]:((~curious(X)&creative(X))<=>(happy(X)|~wise(X))))&
(![X]:((~quiet(X)&~old(X))=>... | ~patient(mary) | [
"p0",
"p4",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 848486044125951780681023
% SZS output start Proof for 848486044125951780681023
1. ! [X0] : ((strong(X0) | ~humble(X0)) <=> old(X0)) [input p0]
5. ! [X0] : ((old(X0) | quiet(X0)) => ~patient(X0)) [input p4]
10. ! [X0] : ((tall(X0) | ~generous(X0)) => ~old(X0)) [input p9]
12. ! [X0] : ((cur... | 0 |
Everyone who is patient is strong or curious.
Everyone who is tall is either rich or not quiet and vice versa.
If someone is generous or humble then someone is creative or wise.
If someone is either strong or patient then someone is tall or not happy and vice versa.
Everyone who is not old or brave is old.
Everyone who... | Susan is wise. | neutral | (![X]:(patient(X)=>(strong(X)|curious(X))))&
(![X]:(tall(X)<=>(rich(X)<~>~quiet(X))))&
((?[X]:((generous(X)|humble(X))))=>(?[X]:((creative(X)|wise(X)))))&
((?[X]:((strong(X)<~>patient(X))))<=>(?[X]:((tall(X)|~happy(X)))))&
(![X]:((~old(X)|brave(X))=>old(X)))&
(![X]:((~rich(X)|happy(X))=>tall(X)))&
((?[X]:(humble(X)))<=... | wise(susan) | [] | null | 0 |
If someone is not happy then john is either not strong or not curious and vice versa.
If john is either generous or not rich then someone is happy or not creative.
Everyone who is both tall and quiet is humble or not quiet.
If paul is happy then paul is old and vice versa.
If someone is not curious then lucy is patient... | Susan is kind. | entailment | ((?[X]:(~happy(X)))<=>((~strong(john)<~>~curious(john))))&
(((generous(john)<~>~rich(john)))=>(?[X]:((happy(X)|~creative(X)))))&
(![X]:((tall(X)&quiet(X))=>(humble(X)|~quiet(X))))&
((happy(paul))<=>(old(paul)))&
((?[X]:(~curious(X)))<=>((patient(lucy)|~old(lucy))))&
(![X]:((creative(X)&~calm(X))<=>humble(X)))&
(((stron... | kind(susan) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 978160860088302763367959
% SZS output start Proof for 978160860088302763367959
4. happy(paul) <=> old(paul) [input p3]
6. ! [X0] : ((~calm(X0) & creative(X0)) <=> humble(X0)) [input p5]
8. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (kind(X0) & curious(X0))) [input p7]
9. ! [X0] : ((~humble(X0... | 0 |
Everyone who is not old or brave is both not brave and not old and vice versa. If someone is humble or happy then mary is either tall or not creative. Everyone who is not brave or kind is not funny and vice versa. Everyone who is rich is wise or not tall. Everyone who is either not curious or not calm is curious and vi... | Fred is patient. | neutral | (![X]:((~old(X)|brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((humble(X)|happy(X))))=>((tall(mary)<~>~creative(mary))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>... | patient(fred) | [] | null | 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 happy. | 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))=>(... | ~happy(lucy) | [
"p3",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1634059887196921173157752
% SZS output start Proof for 1634059887196921173157752
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p4]
6. ! [X0] : ((old(X0) & ~happy(X0)) => (~wise(X0) ... | 0 |
Everyone who is tall or not old is both calm and brave.
Everyone who is happy or not kind is not rich and vice versa.
Everyone who is both happy and not old is not calm and vice versa.
Everyone who is happy is both not creative and brave and vice versa.
If john is either not kind or calm then someone is rich and vice v... | John is not kind. | entailment | (![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X)<=>(~creative(X)&brave(X))))&
(((~kind(john)<~>calm(john)))<=>(?[X]:(rich(X))))&
(![X]:((creative(X)|~calm(X))<=>(funny(X)|brave(X))))&
(![X]:(~happy(X)=>(~calm(X)<~>~humble(X)... | ~kind(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3891102143708434278709465
% SZS output start Proof for 3891102143708434278709465
1. ! [X0] : ((~old(X0) | tall(X0)) => (brave(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | happy(X0)) <=> ~rich(X0)) [input p1]
3. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p2]
4. ! [X0] ... | 0 |
Everyone who is not curious is not brave or old. Everyone who is either strong or not brave is both not patient and kind. If someone is both creative and wise then paul is either not humble or generous. Everyone who is either brave or humble is creative. If alice is both creative and calm then fred is old. If susan is ... | Fred is brave. | entailment | (![X]:(~curious(X)=>(~brave(X)|old(X))))&
(![X]:((strong(X)<~>~brave(X))=>(~patient(X)&kind(X))))&
((?[X]:((creative(X)&wise(X))))=>((~humble(paul)<~>generous(paul))))&
(![X]:((brave(X)<~>humble(X))=>creative(X)))&
(((creative(alice)&calm(alice)))=>(old(fred)))&
(((~funny(susan)<~>~generous(susan)))<=>(kind(fred)))&
((... | brave(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8301895365825784039361033
% SZS output start Proof for 8301895365825784039361033
8. ! [X0] : ((~calm(X0) | ~brave(X0)) => (~brave(X0) & brave(X0))) [input p7]
22. ~brave(fred) [input hypothesis]
33. ! [X0] : ((~brave(X0) & brave(X0)) | (calm(X0) & brave(X0))) [ennf transformation 8]
96. b... | 0 |
Everyone who is either not kind or not patient is either not rich or calm and vice versa.
Everyone who is not calm is brave.
If someone is not brave or not creative then mary is quiet.
Everyone who is kind or not wise is either not funny or old.
Everyone who is not kind or quiet is not humble or wise and vice versa.
Ev... | Lucy is not old. | neutral | (![X]:((~kind(X)<~>~patient(X))<=>(~rich(X)<~>calm(X))))&
(![X]:(~calm(X)=>brave(X)))&
((?[X]:((~brave(X)|~creative(X))))=>(quiet(mary)))&
(![X]:((kind(X)|~wise(X))=>(~funny(X)<~>old(X))))&
(![X]:((~kind(X)|quiet(X))<=>(~humble(X)|wise(X))))&
(![X]:((~humble(X)<~>~kind(X))<=>(~tall(X)<~>wise(X))))&
(![X]:((~happy(X)|cu... | ~old(lucy) | [] | null | 0 |
Everyone who is either not generous or not rich is funny.
Everyone who is either strong or not tall is old or strong and vice versa.
Everyone who is either not generous or not calm is not curious or not quiet.
If mary is not tall or creative then susan is both funny and not old.
Everyone who is not wise or kind is curi... | Mary is funny. | neutral | (![X]:((~generous(X)<~>~rich(X))=>funny(X)))&
(![X]:((strong(X)<~>~tall(X))<=>(old(X)|strong(X))))&
(![X]:((~generous(X)<~>~calm(X))=>(~curious(X)|~quiet(X))))&
(((~tall(mary)|creative(mary)))=>((funny(susan)&~old(susan))))&
(![X]:((~wise(X)|kind(X))=>(curious(X)|rich(X))))&
(![X]:(tall(X)<=>(~rich(X)&~quiet(X))))&
((?... | funny(mary) | [] | null | 0 |
Everyone who is both old and rich is not kind. If john is not curious then mary is not tall or wise and vice versa. If someone is not brave then paul is either not happy or not funny. Everyone who is both not calm and creative is either calm or not funny. If someone is both wise and tall then john is both kind and old.... | Lucy is patient. | contradiction | (![X]:((old(X)&rich(X))=>~kind(X)))&
((~curious(john))<=>((~tall(mary)|wise(mary))))&
((?[X]:(~brave(X)))=>((~happy(paul)<~>~funny(paul))))&
(![X]:((~calm(X)&creative(X))=>(calm(X)<~>~funny(X))))&
((?[X]:((wise(X)&tall(X))))=>((kind(john)&old(john))))&
(![X]:((calm(X)<~>~wise(X))<=>(quiet(X)<~>funny(X))))&
(![X]:((happ... | patient(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4812912170142714363287453
% SZS output start Proof for 4812912170142714363287453
20. quiet(lucy) & ~patient(lucy) [input p19]
25. patient(lucy) [input hypothesis]
145. ~patient(lucy) [cnf transformation 20]
153. patient(lucy) [cnf transformation 25]
360. $false [subsumption resolution 153... | 0 |
Everyone who is both not brave and not tall is old and vice versa.
If someone is quiet or not creative then alice is not generous or old.
If mary is either not patient or not calm then fred is both not creative and calm.
If alice is rich or wise then someone is both rich and creative and vice versa.
Everyone who is not... | Paul is old. | contradiction | (![X]:((~brave(X)&~tall(X))<=>old(X)))&
((?[X]:((quiet(X)|~creative(X))))=>((~generous(alice)|old(alice))))&
(((~patient(mary)<~>~calm(mary)))=>((~creative(fred)&calm(fred))))&
(((rich(alice)|wise(alice)))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:(~calm(X)<=>(tall(X)<~>rich(X))))&
(((brave(fred)&~calm(fred)))=>(tall(ma... | old(paul) | [
"p0",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7830803521853834734897559
% SZS output start Proof for 7830803521853834734897559
1. ! [X0] : ((~tall(X0) & ~brave(X0)) <=> old(X0)) [input p0]
13. ! [X0] : ((old(X0) | calm(X0)) => (brave(X0) <~> humble(X0))) [input p12]
23. ~humble(paul) [input p22]
24. old(paul) [input hypothesis]
36. !... | 0 |
Everyone who is either brave or creative is both not calm and happy.
Everyone who is either wise or not quiet is both tall and brave.
Everyone who is either funny or brave is both not generous and not kind and vice versa.
Everyone who is not old or curious is either not tall or generous and vice versa.
Everyone who is ... | Mary is brave. | entailment | (![X]:((brave(X)<~>creative(X))=>(~calm(X)&happy(X))))&
(![X]:((wise(X)<~>~quiet(X))=>(tall(X)&brave(X))))&
(![X]:((funny(X)<~>brave(X))<=>(~generous(X)&~kind(X))))&
(![X]:((~old(X)|curious(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((happy(X)|kind(X))<=>(~brave(X)|kind(X))))&
(![X]:((~creative(X)&quiet(X))<=>~brave(X)))&... | brave(mary) | [
"p1",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1393286328259679766932763
% SZS output start Proof for 1393286328259679766932763
2. ! [X0] : ((wise(X0) <~> ~quiet(X0)) => (brave(X0) & tall(X0))) [input p1]
6. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> ~brave(X0)) [input p5]
18. patient(mary) & wise(mary) [input p17]
25. ~brave(mary) [in... | 0 |
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is both old and not curious and vice versa.
Everyone who is tall or not gener... | Fred is not quiet. | neutral | (![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&~happy(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~brave(... | ~quiet(fred) | [] | null | 0 |
If susan is not rich then someone is both kind and patient and vice versa.
Everyone who is not happy or not rich is either not patient or patient.
Everyone who is both not calm and generous is not funny and vice versa.
Everyone who is either calm or not happy is calm and vice versa.
Everyone who is not calm is both not... | Fred is not funny. | contradiction | ((~rich(susan))<=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((~happy(X)|~rich(X))=>(~patient(X)<~>patient(X))))&
(![X]:((~calm(X)&generous(X))<=>~funny(X)))&
(![X]:((calm(X)<~>~happy(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~calm(X)&~generous(X))))&
(((~humble(fred)&~kind(fred)))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((~tall(X... | ~funny(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6263947437756227906315121
% SZS output start Proof for 6263947437756227906315121
3. ! [X0] : ((generous(X0) & ~calm(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : (~calm(X0) => (~generous(X0) & ~calm(X0))) [input p4]
25. ~funny(fred) [input hypothesis]
28. ! [X0] : ((~generous(X0) & ~calm(X0... | 0 |
If someone is either not strong or brave then someone is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vi... | Paul is not brave. | contradiction | ((?[X]:((~strong(X)<~>brave(X))))=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative... | ~brave(paul) | [
"p3",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5836053563871471841491973
% SZS output start Proof for 5836053563871471841491973
4. ! [X0] : (~curious(X0) <=> patient(X0)) [input p3]
6. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p5]
7. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (curious(X0) & tall(X0))) [input... | 0 |
Everyone who is kind is creative or not kind and vice versa.
Everyone who is creative is either not patient or generous and vice versa.
If someone is patient then someone is rich or patient.
If someone is not strong or not old then lucy is both humble and not rich and vice versa.
If susan is either not creative or calm... | Paul is not wise. | entailment | (![X]:(kind(X)<=>(creative(X)|~kind(X))))&
(![X]:(creative(X)<=>(~patient(X)<~>generous(X))))&
((?[X]:(patient(X)))=>(?[X]:((rich(X)|patient(X)))))&
((?[X]:((~strong(X)|~old(X))))<=>((humble(lucy)&~rich(lucy))))&
(((~creative(susan)<~>calm(susan)))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:((~calm(X)<~>~funny(X))<=>~calm(... | ~wise(paul) | [
"p0",
"p1",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5889959240089308143135355
% SZS output start Proof for 5889959240089308143135355
1. ! [X0] : (kind(X0) <=> (~kind(X0) | creative(X0))) [input p0]
2. ! [X0] : (creative(X0) <=> (~patient(X0) <~> generous(X0))) [input p1]
11. ! [X0] : ((~wise(X0) & brave(X0)) <=> (tall(X0) | ~humble(X0))) [... | 0 |
Everyone who is old is not funny or tall and vice versa. Everyone who is creative or kind is not kind or not rich. Everyone who is either curious or kind is either not happy or calm and vice versa. If someone is both not calm and curious then fred is both not tall and calm and vice versa. If fred is strong then someone... | Susan is not calm. | contradiction | (![X]:(old(X)<=>(~funny(X)|tall(X))))&
(![X]:((creative(X)|kind(X))=>(~kind(X)|~rich(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~happy(X)<~>calm(X))))&
((?[X]:((~calm(X)&curious(X))))<=>((~tall(fred)&calm(fred))))&
((strong(fred))=>(?[X]:((humble(X)<~>~happy(X)))))&
(((generous(lucy)<~>~rich(lucy)))=>(?[X]:((~happy(X)&bra... | ~calm(susan) | [
"p1",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 667342532626885389481766
% SZS output start Proof for 667342532626885389481766
2. ! [X0] : ((kind(X0) | creative(X0)) => (~rich(X0) | ~kind(X0))) [input p1]
9. ! [X0] : ((~kind(X0) & tall(X0)) <=> ~funny(X0)) [input p8]
11. ! [X0] : ((kind(X0) | patient(X0)) <=> (quiet(X0) & rich(X0))) [i... | 0 |
Everyone who is either not quiet or not generous is both generous and curious.
If someone is tall then someone is both humble and wise and vice versa.
Everyone who is not creative or brave is both not curious and not strong and vice versa.
If lucy is either happy or brave then mary is generous or not rich.
If someone i... | Lucy is not calm. | contradiction | (![X]:((~quiet(X)<~>~generous(X))=>(generous(X)&curious(X))))&
((?[X]:(tall(X)))<=>(?[X]:((humble(X)&wise(X)))))&
(![X]:((~creative(X)|brave(X))<=>(~curious(X)&~strong(X))))&
(((happy(lucy)<~>brave(lucy)))=>((generous(mary)|~rich(mary))))&
((?[X]:((~humble(X)|~quiet(X))))=>((~patient(mary)<~>strong(mary))))&
(![X]:((cu... | ~calm(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7338781286574234092992273
% SZS output start Proof for 7338781286574234092992273
9. ! [X0] : (humble(X0) <=> (calm(X0) <~> ~humble(X0))) [input p8]
19. ~calm(lucy) [input hypothesis]
47. ! [X0] : ((humble(X0) | ((calm(X0) | humble(X0)) & (~humble(X0) | ~calm(X0)))) & (((humble(X0) | ~calm... | 0 |
If lucy is both not calm and not humble then alice is not kind and vice versa.
Everyone who is either brave or not old is quiet and vice versa.
If john is both happy and rich then someone is not humble or funny and vice versa.
If paul is not funny or creative then alice is both not curious and not strong and vice versa... | Mary is not creative. | entailment | (((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
(((happy(john)&rich(john)))<=>(?[X]:((~humble(X)|funny(X)))))&
(((~funny(paul)|creative(paul)))<=>((~curious(alice)&~strong(alice))))&
(![X]:((patient(X)&~tall(X))<=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|wise(X))=>(~quiet(X)... | ~creative(mary) | [
"p1",
"p2",
"p4",
"p5",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8440133024652472771529663
% SZS output start Proof for 8440133024652472771529663
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p1]
3. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humble(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(... | 0 |
Everyone who is either tall or generous is not happy or strong.
Everyone who is brave is both not funny and not kind.
Everyone who is either not patient or patient is both old and not patient and vice versa.
If someone is either not curious or not humble then someone is either generous or humble and vice versa.
If some... | John is wise. | contradiction | (![X]:((tall(X)<~>generous(X))=>(~happy(X)|strong(X))))&
(![X]:(brave(X)=>(~funny(X)&~kind(X))))&
(![X]:((~patient(X)<~>patient(X))<=>(old(X)&~patient(X))))&
((?[X]:((~curious(X)<~>~humble(X))))<=>(?[X]:((generous(X)<~>humble(X)))))&
((?[X]:(tall(X)))<=>((brave(alice)&~humble(alice))))&
((?[X]:((~tall(X)<~>~wise(X))))=... | wise(john) | [
"p1",
"p2",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2001198907827495497174412
% SZS output start Proof for 2001198907827495497174412
2. ! [X0] : (brave(X0) => (~kind(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> (~patient(X0) & old(X0))) [input p2]
5. ? [X0] : tall(X0) <=> (~humble(alice) & brave(alice)) [in... | 0 |
Everyone who is both not rich and wise is both not rich and curious.
If paul is generous or happy then fred is both not quiet and not happy.
Everyone who is both happy and not rich is either strong or funny.
Everyone who is both humble and rich is both happy and not wise and vice versa.
Everyone who is happy is generou... | Alice is patient. | neutral | (![X]:((~rich(X)&wise(X))=>(~rich(X)&curious(X))))&
(((generous(paul)|happy(paul)))=>((~quiet(fred)&~happy(fred))))&
(![X]:((happy(X)&~rich(X))=>(strong(X)<~>funny(X))))&
(![X]:((humble(X)&rich(X))<=>(happy(X)&~wise(X))))&
(![X]:(happy(X)=>generous(X)))&
(![X]:((~wise(X)&quiet(X))=>(~patient(X)<~>~humble(X))))&
(![X]:(... | patient(alice) | [] | null | 0 |
Everyone who is both not calm and rich is old or not generous and vice versa.
Everyone who is not rich is curious.
Everyone who is humble is not brave and vice versa.
Everyone who is not rich or not strong is either not kind or curious and vice versa.
If someone is kind or not funny then someone is not generous or not ... | Paul is tall. | entailment | (![X]:((~calm(X)&rich(X))<=>(old(X)|~generous(X))))&
(![X]:(~rich(X)=>curious(X)))&
(![X]:(humble(X)<=>~brave(X)))&
(![X]:((~rich(X)|~strong(X))<=>(~kind(X)<~>curious(X))))&
((?[X]:((kind(X)|~funny(X))))=>(?[X]:((~generous(X)|~creative(X)))))&
(![X]:(~humble(X)<=>(generous(X)&~generous(X))))&
(![X]:((brave(X)&~funny(X)... | tall(paul) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5464223723163066841946139
% SZS output start Proof for 5464223723163066841946139
6. ! [X0] : (~humble(X0) <=> (~generous(X0) & generous(X0))) [input p5]
9. ? [X0] : (humble(X0) & ~tall(X0)) => (~quiet(john) & quiet(john)) [input p8]
22. ~tall(paul) [input hypothesis]
32. (~quiet(john) & q... | 0 |
Everyone who is both not old and not happy is not funny or funny and vice versa.
Everyone who is not old or not kind is generous or humble.
Everyone who is quiet is either not happy or strong and vice versa.
Everyone who is not happy or wise is both not happy and tall and vice versa.
If someone is not patient or strong... | Mary is not happy. | entailment | (![X]:((~old(X)&~happy(X))<=>(~funny(X)|funny(X))))&
(![X]:((~old(X)|~kind(X))=>(generous(X)|humble(X))))&
(![X]:(quiet(X)<=>(~happy(X)<~>strong(X))))&
(![X]:((~happy(X)|wise(X))<=>(~happy(X)&tall(X))))&
((?[X]:((~patient(X)|strong(X))))=>(?[X]:((~old(X)&~humble(X)))))&
(![X]:((strong(X)&brave(X))=>(wise(X)|~humble(X))... | ~happy(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3348800736055437056146499
% SZS output start Proof for 3348800736055437056146499
1. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (funny(X0) | ~funny(X0))) [input p0]
20. happy(mary) [input hypothesis]
35. ! [X0] : (((~happy(X0) & ~old(X0)) | (~funny(X0) & funny(X0))) & ((funny(X0) | ~funny(X0)) ... | 0 |
If someone is both not strong and old then susan is not humble.
Everyone who is both rich and not old is both not calm and kind.
Everyone who is both funny and generous is either tall or humble and vice versa.
Everyone who is curious is not strong and vice versa.
If someone is rich or not curious then someone is not hu... | Paul is strong. | neutral | ((?[X]:((~strong(X)&old(X))))=>(~humble(susan)))&
(![X]:((rich(X)&~old(X))=>(~calm(X)&kind(X))))&
(![X]:((funny(X)&generous(X))<=>(tall(X)<~>humble(X))))&
(![X]:(curious(X)<=>~strong(X)))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((~humble(X)|~happy(X)))))&
(![X]:((~calm(X)<~>kind(X))=>(~generous(X)&~happy(X))))&
(![X]:(... | strong(paul) | [] | null | 0 |
Everyone who is either brave or not calm is both happy and strong. If susan is generous then paul is generous and vice versa. Everyone who is both curious and quiet is either not wise or generous and vice versa. Everyone who is both not calm and wise is not happy or creative and vice versa. If someone is not happy then... | Susan is wise. | entailment | (![X]:((brave(X)<~>~calm(X))=>(happy(X)&strong(X))))&
((generous(susan))<=>(generous(paul)))&
(![X]:((curious(X)&quiet(X))<=>(~wise(X)<~>generous(X))))&
(![X]:((~calm(X)&wise(X))<=>(~happy(X)|creative(X))))&
((?[X]:(~happy(X)))=>((old(john)|tall(john))))&
(![X]:((brave(X)|quiet(X))=>(~happy(X)&~generous(X))))&
(![X]:((... | wise(susan) | [
"p1",
"p2",
"p3",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5811013689889139256286714
% SZS output start Proof for 5811013689889139256286714
2. generous(susan) <=> generous(paul) [input p1]
3. ! [X0] : ((quiet(X0) & curious(X0)) <=> (~wise(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((wise(X0) & ~calm(X0)) <=> (creative(X0) | ~happy(X0))) [input... | 0 |
Everyone who is either not wise or not rich is both quiet and kind and vice versa. Everyone who is patient or tall is either brave or not patient and vice versa. If paul is both curious and not brave then someone is both not quiet and not rich and vice versa. If someone is not old then susan is happy or not creative an... | Fred is generous. | neutral | (![X]:((~wise(X)<~>~rich(X))<=>(quiet(X)&kind(X))))&
(![X]:((patient(X)|tall(X))<=>(brave(X)<~>~patient(X))))&
(((curious(paul)&~brave(paul)))<=>(?[X]:((~quiet(X)&~rich(X)))))&
((?[X]:(~old(X)))<=>((happy(susan)|~creative(susan))))&
(![X]:((rich(X)&~humble(X))<=>(~humble(X)&~brave(X))))&
(![X]:((~rich(X)|kind(X))=>~str... | generous(fred) | [] | null | 0 |
Everyone who is both not humble and not calm is either rich or humble. If someone is either not calm or not wise then someone is strong or wise and vice versa. Everyone who is not calm or happy is not humble and vice versa. Everyone who is either not funny or calm is both funny and not rich. Everyone who is both brave ... | Alice is not tall. | contradiction | (![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~calm(X)|happy(X))<=>~humble(X)))&
(![X]:((~funny(X)<~>calm(X))=>(funny(X)&~rich(X))))&
(![X]:((brave(X)&~quiet(X))<=>(generous(X)&~calm(X))))&
((~tall(susan))<=>(?[X]:((~happy(X)<~>~old(X))))... | ~tall(alice) | [
"p2",
"p6",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6664508117421532443550505
% SZS output start Proof for 6664508117421532443550505
3. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p2]
7. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p6]
8. ? [X0] : (old(X0) | humble(X0)) <=> ? [X0] : (~calm(X0) & happy(X0)) [input p7... | 0 |
Everyone who is not funny or not patient is kind or not brave and vice versa.
If mary is creative or not generous then mary is both not curious and rich.
Everyone who is both not generous and not quiet is strong or creative and vice versa.
If alice is not wise or happy then alice is patient and vice versa.
If someone i... | Susan is not old. | entailment | (![X]:((~funny(X)|~patient(X))<=>(kind(X)|~brave(X))))&
(((creative(mary)|~generous(mary)))=>((~curious(mary)&rich(mary))))&
(![X]:((~generous(X)&~quiet(X))<=>(strong(X)|creative(X))))&
(((~wise(alice)|happy(alice)))<=>(patient(alice)))&
((?[X]:((~kind(X)|calm(X))))<=>(?[X]:(~happy(X))))&
(![X]:((generous(X)&kind(X))<=... | ~old(susan) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2042057650425557712365022
% SZS output start Proof for 2042057650425557712365022
6. ! [X0] : ((kind(X0) & generous(X0)) <=> (~wise(X0) | old(X0))) [input p5]
8. ! [X0] : ((~kind(X0) & curious(X0)) <=> (quiet(X0) | kind(X0))) [input p7]
24. old(susan) [input hypothesis]
48. ! [X0] : (((kin... | 0 |
If mary is either quiet or not curious then alice is either patient or brave.
If mary is not funny then lucy is not humble.
Everyone who is either not creative or wise is both wise and not patient.
Everyone who is wise or creative is rich and vice versa.
Everyone who is both humble and not generous is both old and not ... | Alice is not rich. | contradiction | (((quiet(mary)<~>~curious(mary)))=>((patient(alice)<~>brave(alice))))&
((~funny(mary))=>(~humble(lucy)))&
(![X]:((~creative(X)<~>wise(X))=>(wise(X)&~patient(X))))&
(![X]:((wise(X)|creative(X))<=>rich(X)))&
(![X]:((humble(X)&~generous(X))=>(old(X)&~curious(X))))&
(![X]:((~old(X)<~>~creative(X))<=>(~funny(X)|~brave(X))))... | ~rich(alice) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 608124998685114990944748
% SZS output start Proof for 608124998685114990944748
3. ! [X0] : ((~creative(X0) <~> wise(X0)) => (~patient(X0) & wise(X0))) [input p2]
4. ! [X0] : ((creative(X0) | wise(X0)) <=> rich(X0)) [input p3]
25. ~rich(alice) [input hypothesis]
30. ! [X0] : ((~patient(X0)... | 0 |
Everyone who is either not brave or not curious is not happy or not tall and vice versa. Everyone who is calm is not creative or strong and vice versa. Everyone who is both creative and brave is tall or not old and vice versa. Everyone who is both not generous and not funny is rich or not wise. Everyone who is kind or ... | Lucy is brave. | neutral | (![X]:((~brave(X)<~>~curious(X))<=>(~happy(X)|~tall(X))))&
(![X]:(calm(X)<=>(~creative(X)|strong(X))))&
(![X]:((creative(X)&brave(X))<=>(tall(X)|~old(X))))&
(![X]:((~generous(X)&~funny(X))=>(rich(X)|~wise(X))))&
(![X]:((kind(X)|humble(X))<=>~wise(X)))&
(![X]:((~creative(X)<~>~strong(X))<=>strong(X)))&
((~calm(john))=>(... | brave(lucy) | [] | null | 0 |
If someone is both not curious and happy then lucy is not humble or humble. Everyone who is not calm is either not humble or not happy and vice versa. If someone is curious or happy then susan is both not generous and generous and vice versa. If someone is funny or not happy then someone is not strong and vice versa. E... | Alice is brave. | neutral | ((?[X]:((~curious(X)&happy(X))))=>((~humble(lucy)|humble(lucy))))&
(![X]:(~calm(X)<=>(~humble(X)<~>~happy(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~generous(susan)&generous(susan))))&
((?[X]:((funny(X)|~happy(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~funny(X)&~generous(X))<=>(humble(X)&generous(X))))&
((~rich(paul))=>(~... | brave(alice) | [] | null | 0 |
Everyone who is not generous or not old is quiet or not curious.
Everyone who is happy is quiet and vice versa.
Everyone who is calm or humble is either funny or not humble and vice versa.
Everyone who is not rich or humble is kind or generous and vice versa.
Everyone who is brave or not old is both not wise and curiou... | Lucy is not generous. | neutral | (![X]:((~generous(X)|~old(X))=>(quiet(X)|~curious(X))))&
(![X]:(happy(X)<=>quiet(X)))&
(![X]:((calm(X)|humble(X))<=>(funny(X)<~>~humble(X))))&
(![X]:((~rich(X)|humble(X))<=>(kind(X)|generous(X))))&
(![X]:((brave(X)|~old(X))=>(~wise(X)&curious(X))))&
((?[X]:((~patient(X)|~wise(X))))<=>(wise(lucy)))&
(![X]:((~creative(X)... | ~generous(lucy) | [] | null | 0 |
Everyone who is humble is both wise and not quiet and vice versa. Everyone who is both not patient and funny is not tall and vice versa. Everyone who is both not strong and not tall is not curious. If john is either humble or rich then john is either rich or not tall. If someone is not brave then paul is not wise and v... | Fred is old. | neutral | (![X]:(humble(X)<=>(wise(X)&~quiet(X))))&
(![X]:((~patient(X)&funny(X))<=>~tall(X)))&
(![X]:((~strong(X)&~tall(X))=>~curious(X)))&
(((humble(john)<~>rich(john)))=>((rich(john)<~>~tall(john))))&
((?[X]:(~brave(X)))<=>(~wise(paul)))&
((quiet(paul))=>(?[X]:(patient(X))))&
((~generous(alice))<=>((generous(paul)|~happy(paul... | old(fred) | [] | null | 0 |
If someone is both not humble and not happy then paul is either humble or quiet and vice versa.
Everyone who is not rich is not happy or not generous.
Everyone who is either not strong or not calm is not patient.
If paul is not calm or curious then someone is either not quiet or humble and vice versa.
Everyone who is e... | Alice is tall. | contradiction | ((?[X]:((~humble(X)&~happy(X))))<=>((humble(paul)<~>quiet(paul))))&
(![X]:(~rich(X)=>(~happy(X)|~generous(X))))&
(![X]:((~strong(X)<~>~calm(X))=>~patient(X)))&
(((~calm(paul)|curious(paul)))<=>(?[X]:((~quiet(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~old(X)|~brave(X))<=>~strong... | tall(alice) | [
"p4",
"p9",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7754327152034031055233705
% SZS output start Proof for 7754327152034031055233705
5. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (~happy(X0) <~> brave(X0))) [input p4]
10. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (~quiet(X0) | ~wise(X0))) [input p9]
12. ! [X0] : (~wise(X0) => happy(X0)) [input p11]... | 0 |
If someone is either kind or old then someone is not happy or generous.
If susan is both humble and patient then someone is old or not quiet.
If lucy is generous or curious then someone is creative or not humble.
Everyone who is either not kind or strong is either curious or old.
If john is not kind or not old then som... | Alice is not tall. | entailment | ((?[X]:((kind(X)<~>old(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(((humble(susan)&patient(susan)))=>(?[X]:((old(X)|~quiet(X)))))&
(((generous(lucy)|curious(lucy)))=>(?[X]:((creative(X)|~humble(X)))))&
(![X]:((~kind(X)<~>strong(X))=>(curious(X)<~>old(X))))&
(((~kind(john)|~old(john)))=>(?[X]:((curious(X)<~>funny(X)))))&... | ~tall(alice) | [
"p5",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7037699718378280548349248
% SZS output start Proof for 7037699718378280548349248
6. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (curious(X0) & ~happy(X0))) [input p5]
14. ! [X0] : ((old(X0) <~> ~old(X0)) <=> happy(X0)) [input p13]
20. curious(alice) & ~brave(alice) [input p19]
24. tall(alice... | 0 |
Everyone who is both not patient and kind is both not calm and kind. If someone is both not quiet and kind then someone is kind and vice versa. Everyone who is old or kind is not kind. Everyone who is either wise or not quiet is both not old and funny and vice versa. If mary is quiet or not humble then someone is eithe... | Alice is not tall. | contradiction | (![X]:((~patient(X)&kind(X))=>(~calm(X)&kind(X))))&
((?[X]:((~quiet(X)&kind(X))))<=>(?[X]:(kind(X))))&
(![X]:((old(X)|kind(X))=>~kind(X)))&
(![X]:((wise(X)<~>~quiet(X))<=>(~old(X)&funny(X))))&
(((quiet(mary)|~humble(mary)))<=>(?[X]:((kind(X)<~>old(X)))))&
((~brave(lucy))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:(~kind(X)<... | ~tall(alice) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 458172374307058709991085
% SZS output start Proof for 458172374307058709991085
3. ! [X0] : ((kind(X0) | old(X0)) => ~kind(X0)) [input p2]
9. ? [X0] : kind(X0) <=> (~tall(alice) | happy(alice)) [input p8]
24. ~tall(alice) [input hypothesis]
30. ! [X0] : (~kind(X0) | (~kind(X0) & ~old(X0)))... | 0 |
If someone is both tall and kind then someone is either not brave or kind.
If someone is not funny then john is not happy or happy.
Everyone who is creative or not calm is not kind or not curious and vice versa.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or pati... | Alice is kind. | entailment | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
((?[X]:(~funny(X)))=>((~happy(john)|happy(john))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(a... | kind(alice) | [
"p2",
"p5",
"p6",
"p7",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1232413504804642193680116
% SZS output start Proof for 1232413504804642193680116
3. ! [X0] : ((~calm(X0) | creative(X0)) <=> (~curious(X0) | ~kind(X0))) [input p2]
6. ! [X0] : (creative(X0) <=> rich(X0)) [input p5]
7. rich(alice) <=> (~happy(mary) & patient(mary)) [input p6]
8. ! [X0] : (... | 0 |
Everyone who is either not tall or not funny is both not tall and happy and vice versa. Everyone who is tall is not patient or not kind and vice versa. Everyone who is both not brave and not tall is either rich or calm and vice versa. Everyone who is either creative or kind is both quiet and rich. If lucy is old or not... | Paul is not wise. | neutral | (![X]:((~tall(X)<~>~funny(X))<=>(~tall(X)&happy(X))))&
(![X]:(tall(X)<=>(~patient(X)|~kind(X))))&
(![X]:((~brave(X)&~tall(X))<=>(rich(X)<~>calm(X))))&
(![X]:((creative(X)<~>kind(X))=>(quiet(X)&rich(X))))&
(((old(lucy)|~patient(lucy)))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((~curious(X)&~funny(X))=>~rich(X)))&
(![X]... | ~wise(paul) | [] | null | 0 |
If mary is both brave and kind then fred is either not rich or patient. If lucy is both funny and not tall then someone is either not rich or not old. Everyone who is not wise is either patient or not happy. Everyone who is either brave or not generous is tall. If mary is happy then mary is both happy and not old. If m... | Mary is not patient. | neutral | (((brave(mary)&kind(mary)))=>((~rich(fred)<~>patient(fred))))&
(((funny(lucy)&~tall(lucy)))=>(?[X]:((~rich(X)<~>~old(X)))))&
(![X]:(~wise(X)=>(patient(X)<~>~happy(X))))&
(![X]:((brave(X)<~>~generous(X))=>tall(X)))&
((happy(mary))=>((happy(mary)&~old(mary))))&
(((rich(mary)<~>calm(mary)))<=>((calm(john)<~>~generous(john... | ~patient(mary) | [] | null | 0 |
If someone is either wise or generous then susan is both not kind and kind. If susan is either wise or not funny then paul is either brave or not funny and vice versa. Everyone who is either calm or not tall is brave. Everyone who is both strong and not generous is either not generous or not quiet. If someone is both c... | Paul is not brave. | contradiction | ((?[X]:((wise(X)<~>generous(X))))=>((~kind(susan)&kind(susan))))&
(((wise(susan)<~>~funny(susan)))<=>((brave(paul)<~>~funny(paul))))&
(![X]:((calm(X)<~>~tall(X))=>brave(X)))&
(![X]:((strong(X)&~generous(X))=>(~generous(X)<~>~quiet(X))))&
((?[X]:((creative(X)&rich(X))))=>(?[X]:((~generous(X)<~>patient(X)))))&
((?[X]:((~... | ~brave(paul) | [
"p9",
"p10",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2191160994472973636826828
% SZS output start Proof for 2191160994472973636826828
10. ! [X0] : ((~strong(X0) | funny(X0)) => (brave(X0) & patient(X0))) [input p9]
11. ~old(mary) <=> ? [X0] : (quiet(X0) | kind(X0)) [input p10]
13. ? [X0] : ~old(X0) <=> funny(paul) [input p12]
24. ? [X0] : (... | 0 |
Everyone who is both not happy and happy is strong. If someone is both not patient and rich then lucy is funny or not brave and vice versa. If john is quiet then susan is both not brave and not tall. Everyone who is quiet or not patient is both not rich and quiet and vice versa. Everyone who is both quiet and happy is ... | Lucy is not wise. | neutral | (![X]:((~happy(X)&happy(X))=>strong(X)))&
((?[X]:((~patient(X)&rich(X))))<=>((funny(lucy)|~brave(lucy))))&
((quiet(john))=>((~brave(susan)&~tall(susan))))&
(![X]:((quiet(X)|~patient(X))<=>(~rich(X)&quiet(X))))&
(![X]:((quiet(X)&happy(X))<=>~kind(X)))&
(![X]:((happy(X)&kind(X))<=>(kind(X)|~tall(X))))&
(![X]:((patient(X)... | ~wise(lucy) | [] | null | 0 |
If john is quiet then someone is not rich.
Everyone who is both wise and generous is both funny and not humble and vice versa.
If someone is either strong or not patient then someone is not patient and vice versa.
Everyone who is either not kind or not generous is humble or tall.
If alice is both not humble and not fun... | Lucy is not funny. | neutral | ((quiet(john))=>(?[X]:(~rich(X))))&
(![X]:((wise(X)&generous(X))<=>(funny(X)&~humble(X))))&
((?[X]:((strong(X)<~>~patient(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~kind(X)<~>~generous(X))=>(humble(X)|tall(X))))&
(((~humble(alice)&~funny(alice)))<=>(?[X]:((~wise(X)|~creative(X)))))&
(((happy(paul)<~>~calm(paul)))=>(?[X]:(... | ~funny(lucy) | [] | null | 0 |
If lucy is not creative or not rich then someone is not creative or not funny and vice versa.
Everyone who is both humble and creative is generous and vice versa.
Everyone who is both quiet and funny is both not happy and tall.
Everyone who is both not tall and not strong is not creative.
Everyone who is not strong or ... | Fred is creative. | neutral | (((~creative(lucy)|~rich(lucy)))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((humble(X)&creative(X))<=>generous(X)))&
(![X]:((quiet(X)&funny(X))=>(~happy(X)&tall(X))))&
(![X]:((~tall(X)&~strong(X))=>~creative(X)))&
(![X]:((~strong(X)|rich(X))=>(generous(X)<~>quiet(X))))&
(![X]:((~patient(X)|~old(X))=>(calm(X)&~happy(X... | creative(fred) | [] | null | 0 |
Everyone who is not brave or creative is calm or not generous.
If someone is wise or not tall then paul is generous.
Everyone who is patient is not funny and vice versa.
Everyone who is either not rich or rich is not quiet or not generous and vice versa.
If someone is either not generous or calm then susan is either ge... | Mary is not old. | neutral | (![X]:((~brave(X)|creative(X))=>(calm(X)|~generous(X))))&
((?[X]:((wise(X)|~tall(X))))=>(generous(paul)))&
(![X]:(patient(X)<=>~funny(X)))&
(![X]:((~rich(X)<~>rich(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(susan)<~>~tall(susan))))&
((?[X]:(~creative(X)))<=>((curious(paul)&humble(... | ~old(mary) | [] | null | 0 |
If someone is tall then someone is strong and vice versa.
If lucy is not strong or tall then alice is either not creative or curious and vice versa.
If someone is not brave then someone is either patient or not brave.
Everyone who is both not funny and happy is both calm and not quiet and vice versa.
If fred is not gen... | Lucy is creative. | entailment | ((?[X]:(tall(X)))<=>(?[X]:(strong(X))))&
(((~strong(lucy)|tall(lucy)))<=>((~creative(alice)<~>curious(alice))))&
((?[X]:(~brave(X)))=>(?[X]:((patient(X)<~>~brave(X)))))&
(![X]:((~funny(X)&happy(X))<=>(calm(X)&~quiet(X))))&
((~generous(fred))=>((~kind(john)<~>~brave(john))))&
(![X]:((~creative(X)&~old(X))<=>(~strong(X)<... | creative(lucy) | [
"p7",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5708626193764497763775386
% SZS output start Proof for 5708626193764497763775386
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (~creative(X0) | curious(X0))) [input p7]
12. ! [X0] : ((patient(X0) | ~quiet(X0)) <=> (rich(X0) & happy(X0))) [input p11]
16. ! [X0] : (happy(X0) <=> (creative(X0) | ~... | 0 |
If someone is not generous then someone is not rich.
Everyone who is not strong or not funny is both old and not rich and vice versa.
Everyone who is both not wise and not creative is either not creative or calm.
Everyone who is either not old or not funny is both brave and creative and vice versa.
Everyone who is both... | Alice is not creative. | entailment | ((?[X]:(~generous(X)))=>(?[X]:(~rich(X))))&
(![X]:((~strong(X)|~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~wise(X)&~creative(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(brave(X)&creative(X))))&
(![X]:((~calm(X)&~creative(X))=>(funny(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~brave(X))=>(~tall(X)<~>br... | ~creative(alice) | [
"p1",
"p3",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1036565657995377083431601
% SZS output start Proof for 1036565657995377083431601
2. ! [X0] : ((~funny(X0) | ~strong(X0)) <=> (~rich(X0) & old(X0))) [input p1]
4. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> (creative(X0) & brave(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> ~brave(X0)) => (~tal... | 0 |
Everyone who is quiet or not patient is wise or not humble and vice versa. If susan is either not generous or kind then someone is either humble or not tall. Everyone who is either brave or not tall is either not quiet or not patient. Everyone who is not happy or happy is either not tall or creative. Everyone who is ei... | Fred is calm. | entailment | (![X]:((quiet(X)|~patient(X))<=>(wise(X)|~humble(X))))&
(((~generous(susan)<~>kind(susan)))=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:((brave(X)<~>~tall(X))=>(~quiet(X)<~>~patient(X))))&
(![X]:((~happy(X)|happy(X))=>(~tall(X)<~>creative(X))))&
(![X]:((tall(X)<~>humble(X))<=>curious(X)))&
(((~rich(mary)&brave(mary)))=>((... | calm(fred) | [
"p11",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 619730241309964789910816
% SZS output start Proof for 619730241309964789910816
12. ! [X0] : ((~tall(X0) | rich(X0)) <=> (~happy(X0) & ~rich(X0))) [input p11]
14. ! [X0] : ((~brave(X0) & tall(X0)) <=> ~happy(X0)) [input p13]
19. brave(fred) <~> ~calm(fred) [input p18]
20. happy(fred) [inpu... | 0 |
Everyone who is quiet is both tall and not quiet.
Everyone who is wise or not old is funny or not brave and vice versa.
Everyone who is not calm is both not strong and wise and vice versa.
If fred is both not strong and kind then lucy is kind.
Everyone who is either patient or not old is not creative or not calm and vi... | Susan is old. | contradiction | (![X]:(quiet(X)=>(tall(X)&~quiet(X))))&
(![X]:((wise(X)|~old(X))<=>(funny(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~strong(X)&wise(X))))&
(((~strong(fred)&kind(fred)))=>(kind(lucy)))&
(![X]:((patient(X)<~>~old(X))<=>(~creative(X)|~calm(X))))&
(![X]:((funny(X)|~brave(X))=>(~wise(X)<~>~kind(X))))&
(![X]:(old(X)<=>curious(X)))... | old(susan) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3418756260635709364643536
% SZS output start Proof for 3418756260635709364643536
7. ! [X0] : (old(X0) <=> curious(X0)) [input p6]
18. ~curious(susan) [input p17]
25. old(susan) [input hypothesis]
44. ! [X0] : ((old(X0) | ~curious(X0)) & (curious(X0) | ~old(X0))) [nnf transformation 7]
95.... | 0 |
If susan is either tall or not generous then someone is both not rich and not funny and vice versa.
Everyone who is not funny or brave is not patient and vice versa.
Everyone who is either not creative or happy is both not patient and not funny and vice versa.
Everyone who is both brave and not creative is both kind an... | Alice is not happy. | entailment | (((tall(susan)<~>~generous(susan)))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((~funny(X)|brave(X))<=>~patient(X)))&
(![X]:((~creative(X)<~>happy(X))<=>(~patient(X)&~funny(X))))&
(![X]:((brave(X)&~creative(X))=>(kind(X)&strong(X))))&
((?[X]:(curious(X)))=>(?[X]:((patient(X)&tall(X)))))&
(![X]:((curious(X)|calm(X))<=>(~ha... | ~happy(alice) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4985901564971549328691246
% SZS output start Proof for 4985901564971549328691246
6. ! [X0] : ((calm(X0) | curious(X0)) <=> (~wise(X0) & ~happy(X0))) [input p5]
10. ! [X0] : ((~calm(X0) | ~strong(X0)) => (quiet(X0) & calm(X0))) [input p9]
23. happy(alice) [input hypothesis]
34. ! [X0] : ((... | 0 |
Everyone who is both rich and humble is either rich or not curious and vice versa.
Everyone who is either happy or calm is not creative and vice versa.
Everyone who is tall or not kind is either not patient or creative.
Everyone who is rich is both funny and not kind and vice versa.
Everyone who is not kind is either q... | Fred is not strong. | entailment | (![X]:((rich(X)&humble(X))<=>(rich(X)<~>~curious(X))))&
(![X]:((happy(X)<~>calm(X))<=>~creative(X)))&
(![X]:((tall(X)|~kind(X))=>(~patient(X)<~>creative(X))))&
(![X]:(rich(X)<=>(funny(X)&~kind(X))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~rich(X))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
((... | ~strong(fred) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1450003476093839574206652
% SZS output start Proof for 1450003476093839574206652
4. ! [X0] : (rich(X0) <=> (~kind(X0) & funny(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (quiet(X0) <~> ~rich(X0))) [input p4]
10. ! [X0] : ((funny(X0) | happy(X0)) => (~funny(X0) <~> ~rich(X0))) [input p9]
1... | 0 |
If mary is not wise then someone is old or not tall and vice versa.
Everyone who is brave or not generous is curious.
Everyone who is either quiet or not humble is both generous and wise and vice versa.
Everyone who is not wise or not generous is wise or curious.
Everyone who is tall or quiet is not kind.
Everyone who ... | Fred is not quiet. | contradiction | ((~wise(mary))<=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((brave(X)|~generous(X))=>curious(X)))&
(![X]:((quiet(X)<~>~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~wise(X)|~generous(X))=>(wise(X)|curious(X))))&
(![X]:((tall(X)|quiet(X))=>~kind(X)))&
(![X]:((funny(X)&~humble(X))<=>(~curious(X)|curious(X))))&
((?[X]:(tall(X))... | ~quiet(fred) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p9",
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3189042692648974233864203
% SZS output start Proof for 3189042692648974233864203
2. ! [X0] : ((~generous(X0) | brave(X0)) => curious(X0)) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~humble(X0)) <=> (wise(X0) & generous(X0))) [input p2]
5. ! [X0] : ((quiet(X0) | tall(X0)) => ~kind(X0)) [input ... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or not curious then alice is not calm and vice versa.
If john is not generous then someon... | Fred is calm. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(~calm(alice)))&
((~generous(john))<=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((~generous(X)|~brave(X))<=>(~humble(X)<~>curious(X))))&
(((~k... | calm(fred) | [] | null | 0 |
If someone is not humble or not patient then susan is either tall or not old.
If john is not old or kind then someone is both not humble and funny.
Everyone who is both old and not wise is either not patient or quiet and vice versa.
Everyone who is both brave and not rich is creative.
If mary is either happy or funny t... | Fred is old. | entailment | ((?[X]:((~humble(X)|~patient(X))))=>((tall(susan)<~>~old(susan))))&
(((~old(john)|kind(john)))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((old(X)&~wise(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:((brave(X)&~rich(X))=>creative(X)))&
(((happy(mary)<~>funny(mary)))=>(?[X]:((~creative(X)|generous(X)))))&
(((~generous(alice)&~cu... | old(fred) | [
"p2",
"p6",
"p7",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2115680436315752559735129
% SZS output start Proof for 2115680436315752559735129
3. ! [X0] : ((~wise(X0) & old(X0)) <=> (~patient(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (quiet(X0) <=> (~old(X0) & ~humble(X0))) [input p6]
8. ! [X0] : ((humble(X0) & patient(X0)) <=> (brave(X0) <~> ~pati... | 0 |
Everyone who is both not happy and calm is both brave and not strong and vice versa. Everyone who is not rich or not funny is either brave or old and vice versa. Everyone who is either rich or not creative is either generous or not brave and vice versa. Everyone who is curious is either not funny or rich. Everyone who ... | John is curious. | contradiction | (![X]:((~happy(X)&calm(X))<=>(brave(X)&~strong(X))))&
(![X]:((~rich(X)|~funny(X))<=>(brave(X)<~>old(X))))&
(![X]:((rich(X)<~>~creative(X))<=>(generous(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~funny(X)<~>rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~happy(X)&quiet(X))))&
(![X]:((generous(X)&~patient(X))<=>(humble(X)|st... | curious(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8078676486939279546538020
% SZS output start Proof for 8078676486939279546538020
5. ! [X0] : ((~strong(X0) | ~curious(X0)) <=> (quiet(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((~patient(X0) & generous(X0)) <=> (strong(X0) | humble(X0))) [input p5]
8. ! [X0] : ((rich(X0) & strong(X0)) => ... | 0 |
Everyone who is either not old or not funny is patient and vice versa.
Everyone who is not old is not rich or not brave.
Everyone who is both not tall and rich is both rich and not tall and vice versa.
Everyone who is both strong and curious is both not brave and quiet.
Everyone who is both brave and creative is either... | Paul is calm. | neutral | (![X]:((~old(X)<~>~funny(X))<=>patient(X)))&
(![X]:(~old(X)=>(~rich(X)|~brave(X))))&
(![X]:((~tall(X)&rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((strong(X)&curious(X))=>(~brave(X)&quiet(X))))&
(![X]:((brave(X)&creative(X))<=>(brave(X)<~>patient(X))))&
(![X]:((kind(X)|~kind(X))<=>~funny(X)))&
(![X]:((kind(X)|~quiet(X))=>(~... | calm(paul) | [] | null | 0 |
Everyone who is not rich is quiet or curious and vice versa.
If someone is not generous then fred is both not wise and funny and vice versa.
Everyone who is not curious or not calm is either not curious or not patient and vice versa.
Everyone who is not generous or wise is not tall or wise.
Everyone who is both curious... | Fred is not generous. | contradiction | (![X]:(~rich(X)<=>(quiet(X)|curious(X))))&
((?[X]:(~generous(X)))<=>((~wise(fred)&funny(fred))))&
(![X]:((~curious(X)|~calm(X))<=>(~curious(X)<~>~patient(X))))&
(![X]:((~generous(X)|wise(X))=>(~tall(X)|wise(X))))&
(![X]:((curious(X)&old(X))<=>strong(X)))&
(![X]:((~patient(X)|funny(X))<=>(quiet(X)&~funny(X))))&
(((patie... | ~generous(fred) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5535182911119168892648278
% SZS output start Proof for 5535182911119168892648278
2. ? [X0] : ~generous(X0) <=> (funny(fred) & ~wise(fred)) [input p1]
6. ! [X0] : ((funny(X0) | ~patient(X0)) <=> (~funny(X0) & quiet(X0))) [input p5]
23. ~generous(fred) [input hypothesis]
37. (? [X0] : ~gene... | 0 |
Everyone who is both calm and tall is both generous and patient.
If someone is not humble or calm then someone is either not funny or rich.
Everyone who is both brave and patient is both not wise and not humble.
Everyone who is wise is both old and happy.
Everyone who is either not wise or wise is either not generous o... | Paul is wise. | contradiction | (![X]:((calm(X)&tall(X))=>(generous(X)&patient(X))))&
((?[X]:((~humble(X)|calm(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((brave(X)&patient(X))=>(~wise(X)&~humble(X))))&
(![X]:(wise(X)=>(old(X)&happy(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~generous(X)<~>~patient(X))))&
((?[X]:((happy(X)<~>~calm(X))))<=>((~curious(pau... | wise(paul) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 328052714641626620174153
% SZS output start Proof for 328052714641626620174153
1. ! [X0] : ((tall(X0) & calm(X0)) => (patient(X0) & generous(X0))) [input p0]
4. ! [X0] : (wise(X0) => (happy(X0) & old(X0))) [input p3]
5. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~generous(X0) <~> ~patient(X0)... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is ... | Lucy is not quiet. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humb... | ~quiet(lucy) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7227692848609525257322416
% SZS output start Proof for 7227692848609525257322416
2. ! [X0] : ((~funny(X0) | generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
9. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input ... | 0 |
Everyone who is both not old and quiet is wise or brave and vice versa.
Everyone who is both generous and not brave is brave or not calm and vice versa.
Everyone who is either not humble or not generous is not strong or not generous.
Everyone who is not strong is both calm and not brave.
If susan is both funny and not ... | Mary is curious. | neutral | (![X]:((~old(X)&quiet(X))<=>(wise(X)|brave(X))))&
(![X]:((generous(X)&~brave(X))<=>(brave(X)|~calm(X))))&
(![X]:((~humble(X)<~>~generous(X))=>(~strong(X)|~generous(X))))&
(![X]:(~strong(X)=>(calm(X)&~brave(X))))&
(((funny(susan)&~humble(susan)))=>(?[X]:(~old(X))))&
(![X]:((~quiet(X)|curious(X))<=>funny(X)))&
(![X]:((ol... | curious(mary) | [] | null | 0 |
If john is both humble and not humble then someone is either not quiet or happy and vice versa.
If john is curious or quiet then susan is humble.
Everyone who is both brave and curious is either patient or not quiet.
Everyone who is not patient is patient.
If lucy is both not calm and calm then someone is both not crea... | Alice is not generous. | contradiction | (((humble(john)&~humble(john)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
(((curious(john)|quiet(john)))=>(humble(susan)))&
(![X]:((brave(X)&curious(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(~patient(X)=>patient(X)))&
(((~calm(lucy)&calm(lucy)))=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~happy(X)... | ~generous(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8508347921969032205850904
% SZS output start Proof for 8508347921969032205850904
6. ! [X0] : ((~patient(X0) | ~generous(X0)) => (generous(X0) & ~happy(X0))) [input p5]
23. ~generous(alice) [input hypothesis]
30. ! [X0] : ((generous(X0) & ~happy(X0)) | (patient(X0) & generous(X0))) [ennf t... | 0 |
If someone is either kind or strong then someone is both humble and not calm.
If someone is brave then someone is not wise or tall.
Everyone who is either wise or rich is not generous or not funny.
Everyone who is either quiet or old is patient or not old and vice versa.
Everyone who is humble is not calm and vice vers... | Mary is not humble. | contradiction | ((?[X]:((kind(X)<~>strong(X))))=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~wise(X)|tall(X)))))&
(![X]:((wise(X)<~>rich(X))=>(~generous(X)|~funny(X))))&
(![X]:((quiet(X)<~>old(X))<=>(patient(X)|~old(X))))&
(![X]:(humble(X)<=>~calm(X)))&
(((curious(lucy)|~patient(lucy)))<=>((~generous(john)|~creative(j... | ~humble(mary) | [
"p3",
"p4",
"p6",
"p8",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4358520897110637820471278
% SZS output start Proof for 4358520897110637820471278
4. ! [X0] : ((quiet(X0) <~> old(X0)) <=> (~old(X0) | patient(X0))) [input p3]
5. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((patient(X0) & ~calm(X0)) <=> (funny(X0) | ~wise(X0))) [input p6]
9... | 0 |
If fred is either not kind or not happy then susan is not curious and vice versa. Everyone who is both funny and not creative is either not patient or patient. If someone is not creative or not funny then susan is both not quiet and rich and vice versa. If john is not strong or not calm then someone is both not kind an... | Paul is not happy. | contradiction | (((~kind(fred)<~>~happy(fred)))<=>(~curious(susan)))&
(![X]:((funny(X)&~creative(X))=>(~patient(X)<~>patient(X))))&
((?[X]:((~creative(X)|~funny(X))))<=>((~quiet(susan)&rich(susan))))&
(((~strong(john)|~calm(john)))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:(wise(X)=>(rich(X)&old(X))))&
(![X]:(~old(X)<=>(~rich(X)&kind(X)... | ~happy(paul) | [
"p6",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7862165900995810315695907
% SZS output start Proof for 7862165900995810315695907
7. ! [X0] : ((~strong(X0) | curious(X0)) => (calm(X0) & ~rich(X0))) [input p6]
13. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> (~calm(X0) & curious(X0))) [input p12]
15. (~curious(paul) | ~happy(paul)) => (tall(... | 0 |
If someone is both quiet and not strong then susan is curious.
Everyone who is not calm is rich or not quiet.
If someone is either not funny or not generous then mary is either not curious or not humble.
Everyone who is not kind is both creative and funny.
Everyone who is rich or not happy is wise and vice versa.
Every... | Susan is not strong. | contradiction | ((?[X]:((quiet(X)&~strong(X))))=>(curious(susan)))&
(![X]:(~calm(X)=>(rich(X)|~quiet(X))))&
((?[X]:((~funny(X)<~>~generous(X))))=>((~curious(mary)<~>~humble(mary))))&
(![X]:(~kind(X)=>(creative(X)&funny(X))))&
(![X]:((rich(X)|~happy(X))<=>wise(X)))&
(![X]:((tall(X)|~creative(X))=>(funny(X)<~>rich(X))))&
(![X]:((tall(X)... | ~strong(susan) | [
"p3",
"p4",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6222934742018846955922895
% SZS output start Proof for 6222934742018846955922895
4. ! [X0] : (~kind(X0) => (funny(X0) & creative(X0))) [input p3]
5. ! [X0] : ((~happy(X0) | rich(X0)) <=> wise(X0)) [input p4]
9. ! [X0] : ((curious(X0) | ~funny(X0)) <=> (happy(X0) & funny(X0))) [input p8]
1... | 0 |
Everyone who is happy is not creative. Everyone who is both not strong and wise is creative. Everyone who is either not strong or not patient is kind. If someone is wise or not brave then someone is either rich or not quiet. Everyone who is either not wise or kind is both happy and tall. Everyone who is either funny or... | Fred is old. | entailment | (![X]:(happy(X)=>~creative(X)))&
(![X]:((~strong(X)&wise(X))=>creative(X)))&
(![X]:((~strong(X)<~>~patient(X))=>kind(X)))&
((?[X]:((wise(X)|~brave(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(happy(X)&tall(X))))&
(![X]:((funny(X)<~>~creative(X))=>~quiet(X)))&
(![X]:((~strong(X)<~>~rich(X))<=>(h... | old(fred) | [
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1451543617554794503957389
% SZS output start Proof for 1451543617554794503957389
11. ! [X0] : (~strong(X0) <=> (strong(X0) <~> brave(X0))) [input p10]
15. ! [X0] : (wise(X0) <=> (wise(X0) & ~brave(X0))) [input p14]
22. ~wise(fred) <~> ~old(fred) [input p21]
25. ~old(fred) [input hypothesi... | 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... | Mary is not kind. | contradiction | (![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))))&
... | ~kind(mary) | [
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7594614695659369174566664
% SZS output start Proof for 7594614695659369174566664
12. ! [X0] : (~brave(X0) => (kind(X0) & happy(X0))) [input p11]
14. ! [X0] : (kind(X0) <=> creative(X0)) [input p13]
15. ! [X0] : (~brave(X0) <=> (~creative(X0) | generous(X0))) [input p14]
22. ~kind(mary) [i... | 0 |
Everyone who is not rich is not creative or curious and vice versa. Everyone who is either not brave or brave is both creative and quiet. Everyone who is not strong or not curious is both funny and not rich and vice versa. If susan is either not curious or not brave then someone is both rich and strong and vice versa. ... | Paul is funny. | contradiction | (![X]:(~rich(X)<=>(~creative(X)|curious(X))))&
(![X]:((~brave(X)<~>brave(X))=>(creative(X)&quiet(X))))&
(![X]:((~strong(X)|~curious(X))<=>(funny(X)&~rich(X))))&
(((~curious(susan)<~>~brave(susan)))<=>(?[X]:((rich(X)&strong(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(~funny(X)|~strong(X))))&
(![X]:((~quiet(X)&~brave(... | funny(paul) | [
"p1",
"p4",
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3944080509027643386773919
% SZS output start Proof for 3944080509027643386773919
2. ! [X0] : ((~brave(X0) <~> brave(X0)) => (quiet(X0) & creative(X0))) [input p1]
5. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (~strong(X0) | ~funny(X0))) [input p4]
7. ? [X0] : brave(X0) <=> strong(paul... | 0 |
If paul is either not creative or not tall then someone is both kind and quiet.
Everyone who is either not brave or not strong is both wise and not brave and vice versa.
Everyone who is not strong or patient is wise or not tall and vice versa.
If someone is strong or curious then someone is either not calm or not humbl... | John is not strong. | contradiction | (((~creative(paul)<~>~tall(paul)))=>(?[X]:((kind(X)&quiet(X)))))&
(![X]:((~brave(X)<~>~strong(X))<=>(wise(X)&~brave(X))))&
(![X]:((~strong(X)|patient(X))<=>(wise(X)|~tall(X))))&
((?[X]:((strong(X)|curious(X))))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(![X]:((~funny(X)&old(X))=>(generous(X)|~generous(X))))&
(((~rich(paul)&... | ~strong(john) | [
"p1",
"p2",
"p6",
"p9",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4804651475625256255819725
% SZS output start Proof for 4804651475625256255819725
2. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> (~brave(X0) & wise(X0))) [input p1]
3. ! [X0] : ((patient(X0) | ~strong(X0)) <=> (~tall(X0) | wise(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~quiet(X0)) => calm(X... | 0 |
If fred is not brave or creative then fred is both not humble and old.
Everyone who is not creative or quiet is not wise and vice versa.
Everyone who is both patient and not old is not kind and vice versa.
Everyone who is not strong or happy is both funny and not wise and vice versa.
If someone is both not generous and... | Lucy is not wise. | entailment | (((~brave(fred)|creative(fred)))=>((~humble(fred)&old(fred))))&
(![X]:((~creative(X)|quiet(X))<=>~wise(X)))&
(![X]:((patient(X)&~old(X))<=>~kind(X)))&
(![X]:((~strong(X)|happy(X))<=>(funny(X)&~wise(X))))&
((?[X]:((~generous(X)&~brave(X))))<=>(~brave(alice)))&
(![X]:(~curious(X)<=>(tall(X)<~>old(X))))&
((?[X]:((~calm(X)... | ~wise(lucy) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5487639385662430657153526
% SZS output start Proof for 5487639385662430657153526
4. ! [X0] : ((happy(X0) | ~strong(X0)) <=> (~wise(X0) & funny(X0))) [input p3]
10. ! [X0] : ((~happy(X0) | ~generous(X0)) => ~wise(X0)) [input p9]
25. wise(lucy) [input hypothesis]
31. ! [X0] : (~wise(X0) | (... | 0 |
If someone is both not tall and not curious then someone is either wise or not tall and vice versa.
Everyone who is both not generous and not wise is curious.
Everyone who is either wise or not funny is either not brave or not strong and vice versa.
Everyone who is either not strong or not quiet is rich or not creative... | Alice is not quiet. | neutral | ((?[X]:((~tall(X)&~curious(X))))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((~generous(X)&~wise(X))=>curious(X)))&
(![X]:((wise(X)<~>~funny(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(rich(X)|~creative(X))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)&~calm(X))))&
(![X]:((generous(X)&strong(X))<=>(~... | ~quiet(alice) | [] | null | 0 |
Everyone who is not old or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Everyone who ... | Alice is not patient. | entailment | (![X]:((~old(X)|~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(fred)<... | ~patient(alice) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6747996989703059661169062
% SZS output start Proof for 6747996989703059661169062
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
5. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p4]
8. (happy(alice) <~> calm(alice)) => (quiet(susan) & ~quiet... | 0 |
If john is generous then alice is both not old and not patient and vice versa. Everyone who is not creative or not calm is not rich. If alice is either not humble or happy then mary is not patient and vice versa. If someone is happy or brave then susan is not brave or not creative and vice versa. Everyone who is either... | Mary is not rich. | entailment | ((generous(john))<=>((~old(alice)&~patient(alice))))&
(![X]:((~creative(X)|~calm(X))=>~rich(X)))&
(((~humble(alice)<~>happy(alice)))<=>(~patient(mary)))&
((?[X]:((happy(X)|brave(X))))<=>((~brave(susan)|~creative(susan))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~brave(X)<~>humble(X))))&
((?[X]:((strong(X)&wise(X))))=>((strong... | ~rich(mary) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 888273529220373157612575
% SZS output start Proof for 888273529220373157612575
2. ! [X0] : ((~calm(X0) | ~creative(X0)) => ~rich(X0)) [input p1]
13. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~brave(X0) | brave(X0))) [input p12]
23. rich(mary) [input hypothesis]
27. ! [X0] : (~rich(X0) | (... | 0 |
If someone is both patient and rich then someone is both creative and not kind. Everyone who is wise is both not happy and strong. Everyone who is brave is either not quiet or not kind. Everyone who is either not patient or patient is not happy and vice versa. If someone is old then someone is both not strong and wise ... | Mary is curious. | neutral | ((?[X]:((patient(X)&rich(X))))=>(?[X]:((creative(X)&~kind(X)))))&
(![X]:(wise(X)=>(~happy(X)&strong(X))))&
(![X]:(brave(X)=>(~quiet(X)<~>~kind(X))))&
(![X]:((~patient(X)<~>patient(X))<=>~happy(X)))&
((?[X]:(old(X)))<=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:(wise(X)=>(creative(X)&~brave(X))))&
(![X]:((~patient(X)<~>~gene... | curious(mary) | [] | null | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not calm or not creative is both wise and tall.
Everyone who is quiet or not tall is kind.
Everyone who is both rich and not curious is both old and not old and vice versa.
Everyone who is kind or old is happy.
Everyone who is both not ... | Susan is quiet. | contradiction | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~calm(X)|~creative(X))=>(wise(X)&tall(X))))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | quiet(susan) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9017813566495473240603203
% SZS output start Proof for 9017813566495473240603203
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~generous(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p1]
5. ! [X0] : ((old(X0) | kind(X0)) => happy(X0)) [input p4]
6.... | 0 |
Everyone who is both quiet and creative is generous or not strong.
If someone is both not patient and funny then fred is either not happy or calm.
Everyone who is not generous is both kind and not curious and vice versa.
If someone is not humble or strong then paul is both not patient and not wise.
If someone is quiet ... | Mary is humble. | entailment | (![X]:((quiet(X)&creative(X))=>(generous(X)|~strong(X))))&
((?[X]:((~patient(X)&funny(X))))=>((~happy(fred)<~>calm(fred))))&
(![X]:(~generous(X)<=>(kind(X)&~curious(X))))&
((?[X]:((~humble(X)|strong(X))))=>((~patient(paul)&~wise(paul))))&
((?[X]:((quiet(X)|~wise(X))))=>(?[X]:((~rich(X)&generous(X)))))&
((happy(john))=>... | humble(mary) | [
"p2",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5972825934959399815323147
% SZS output start Proof for 5972825934959399815323147
3. ! [X0] : (~generous(X0) <=> (~curious(X0) & kind(X0))) [input p2]
4. ? [X0] : (strong(X0) | ~humble(X0)) => (~wise(paul) & ~patient(paul)) [input p3]
5. ? [X0] : (~wise(X0) | quiet(X0)) => ? [X0] : (genero... | 0 |
If john is humble or funny then someone is patient and vice versa.
If fred is funny or not old then someone is old and vice versa.
Everyone who is not calm is happy or not humble.
Everyone who is either rich or not tall is not funny and vice versa.
Everyone who is either not rich or old is not calm or not happy and vic... | Fred is creative. | neutral | (((humble(john)|funny(john)))<=>(?[X]:(patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>old(X))<=>(~calm(X)|~happy(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~kind(X)&curious(X))))&
(![X]:((~generous(X)&~kind... | creative(fred) | [] | null | 0 |
Everyone who is either brave or not patient is not old and vice versa.
If someone is humble then someone is both humble and not humble.
Everyone who is either patient or not old is either not rich or not kind and vice versa.
Everyone who is both patient and not strong is old and vice versa.
Everyone who is old or not t... | John is not brave. | entailment | (![X]:((brave(X)<~>~patient(X))<=>~old(X)))&
((?[X]:(humble(X)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~kind(X))))&
(![X]:((patient(X)&~strong(X))<=>old(X)))&
(![X]:((old(X)|~tall(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(tall(X)|curious(X))))&
(((~wise(fred)<~>~strong(fr... | ~brave(john) | [
"p0",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7176463190227549495865027
% SZS output start Proof for 7176463190227549495865027
1. ! [X0] : ((brave(X0) <~> ~patient(X0)) <=> ~old(X0)) [input p0]
4. ! [X0] : ((~strong(X0) & patient(X0)) <=> old(X0)) [input p3]
16. old(john) & ~happy(john) [input p15]
22. brave(john) [input hypothesis]
... | 0 |
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