premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not brave is either generous or not kind and vice versa. Everyone who is either not kind or not curious is both humble and not rich and vice versa. If someone is strong or happy then someone is wise or not tall and vice versa. If someone is funny or not wise then paul is kind or not strong and vice vers... | Mary is patient. | contradiction | (![X]:(~brave(X)<=>(generous(X)<~>~kind(X))))&
(![X]:((~kind(X)<~>~curious(X))<=>(humble(X)&~rich(X))))&
((?[X]:((strong(X)|happy(X))))<=>(?[X]:((wise(X)|~tall(X)))))&
((?[X]:((funny(X)|~wise(X))))<=>((kind(paul)|~strong(paul))))&
((~patient(fred))=>((~patient(mary)<~>strong(mary))))&
(![X]:(humble(X)=>(funny(X)&humble... | patient(mary) | [
"p0",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8119812719720565715625194
% SZS output start Proof for 8119812719720565715625194
1. ! [X0] : (~brave(X0) <=> (generous(X0) <~> ~kind(X0))) [input p0]
14. ! [X0] : (generous(X0) <=> (brave(X0) <~> ~patient(X0))) [input p13]
19. kind(mary) [input p18]
25. patient(mary) [input hypothesis]
37... | 0 |
Everyone who is both not brave and old is either not quiet or not creative and vice versa.
Everyone who is creative or not generous is both not curious and not creative and vice versa.
If lucy is either not rich or curious then john is funny.
Everyone who is not tall is both strong and not old and vice versa.
If susan ... | Mary is not calm. | neutral | (![X]:((~brave(X)&old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((creative(X)|~generous(X))<=>(~curious(X)&~creative(X))))&
(((~rich(lucy)<~>curious(lucy)))=>(funny(john)))&
(![X]:(~tall(X)<=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X))<=>(~old(X)... | ~calm(mary) | [] | null | 0 |
If someone is both rich and kind then someone is both tall and kind and vice versa.
If mary is generous or curious then someone is either not strong or not kind.
Everyone who is humble or not old is happy or not wise.
Everyone who is tall is not curious.
If someone is either not humble or humble then someone is both pa... | Alice is not kind. | entailment | ((?[X]:((rich(X)&kind(X))))<=>(?[X]:((tall(X)&kind(X)))))&
(((generous(mary)|curious(mary)))=>(?[X]:((~strong(X)<~>~kind(X)))))&
(![X]:((humble(X)|~old(X))=>(happy(X)|~wise(X))))&
(![X]:(tall(X)=>~curious(X)))&
((?[X]:((~humble(X)<~>humble(X))))=>(?[X]:((patient(X)&~kind(X)))))&
(![X]:(~kind(X)=>~quiet(X)))&
(((~strong... | ~kind(alice) | [
"p10",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7962598530656132781836866
% SZS output start Proof for 7962598530656132781836866
11. ! [X0] : ((~happy(X0) & funny(X0)) <=> (calm(X0) | rich(X0))) [input p10]
12. ! [X0] : ((~old(X0) <~> ~patient(X0)) <=> (strong(X0) | ~happy(X0))) [input p11]
14. ! [X0] : ((kind(X0) <~> old(X0)) <=> ~cal... | 0 |
If someone is both patient and generous then someone is either old or patient and vice versa.
Everyone who is not humble is either not wise or not humble and vice versa.
Everyone who is generous or not funny is strong and vice versa.
Everyone who is either not generous or not rich is not calm or patient and vice versa.... | Paul is curious. | neutral | ((?[X]:((patient(X)&generous(X))))<=>(?[X]:((old(X)<~>patient(X)))))&
(![X]:(~humble(X)<=>(~wise(X)<~>~humble(X))))&
(![X]:((generous(X)|~funny(X))<=>strong(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~rich(X)<~>humble(X))))&
((?[X]:((~generous(X)&~creative(X))))... | curious(paul) | [] | null | 0 |
Everyone who is either not quiet or tall is both happy and not kind and vice versa. Everyone who is old is both kind and not curious and vice versa. If someone is not strong then someone is not wise or not humble. Everyone who is both not quiet and not wise is wise or not generous and vice versa. Everyone who is both n... | Lucy is not calm. | contradiction | (![X]:((~quiet(X)<~>tall(X))<=>(happy(X)&~kind(X))))&
(![X]:(old(X)<=>(kind(X)&~curious(X))))&
((?[X]:(~strong(X)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~quiet(X)&~wise(X))<=>(wise(X)|~generous(X))))&
(![X]:((~wise(X)&~kind(X))<=>(funny(X)|creative(X))))&
(![X]:((~rich(X)<~>~tall(X))<=>~wise(X)))&
(![X]:((funny(X)... | ~calm(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 852091566055787379774019
% SZS output start Proof for 852091566055787379774019
2. ! [X0] : (old(X0) <=> (~curious(X0) & kind(X0))) [input p1]
4. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (~generous(X0) | wise(X0))) [input p3]
5. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> (creative(X0) | funny(X0)... | 0 |
If lucy is strong then someone is not humble.
Everyone who is either not humble or not kind is not generous or quiet.
Everyone who is both happy and funny is not kind.
If fred is not creative then paul is both not strong and not funny and vice versa.
Everyone who is either not wise or rich is patient and vice versa.
If... | Susan is humble. | entailment | ((strong(lucy))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)<~>~kind(X))=>(~generous(X)|quiet(X))))&
(![X]:((happy(X)&funny(X))=>~kind(X)))&
((~creative(fred))<=>((~strong(paul)&~funny(paul))))&
(![X]:((~wise(X)<~>rich(X))<=>patient(X)))&
((?[X]:(strong(X)))<=>(?[X]:((~humble(X)<~>wise(X)))))&
((wise(john))<=>(?[X]:(~calm... | humble(susan) | [
"p8",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4376861748327372979846855
% SZS output start Proof for 4376861748327372979846855
9. ! [X0] : ((~wise(X0) & kind(X0)) <=> (~funny(X0) | ~patient(X0))) [input p8]
11. ! [X0] : ((~strong(X0) | rich(X0)) => (~kind(X0) & ~quiet(X0))) [input p10]
12. ! [X0] : ((~humble(X0) <~> ~patient(X0)) => ... | 0 |
Everyone who is either kind or curious is not strong or brave and vice versa.
If someone is patient then susan is tall.
Everyone who is not curious is rich and vice versa.
If someone is kind or not happy then john is either funny or not quiet and vice versa.
Everyone who is either not generous or not rich is not quiet ... | Alice is not quiet. | contradiction | (![X]:((kind(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
((?[X]:(patient(X)))=>(tall(susan)))&
(![X]:(~curious(X)<=>rich(X)))&
((?[X]:((kind(X)|~happy(X))))<=>((funny(john)<~>~quiet(john))))&
(![X]:((~generous(X)<~>~rich(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((humble(X)|generous(X))<=>(~humble(X)|~funny(X))))&
((?[X]:((~... | ~quiet(alice) | [
"p2",
"p4",
"p5",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6371942749172940648736046
% SZS output start Proof for 6371942749172940648736046
3. ! [X0] : (~curious(X0) <=> rich(X0)) [input p2]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((generous(X0) | humble(X0)) <=> (~funny(X0) | ~humble(X0))) ... | 0 |
If lucy is humble or generous then fred is not brave.
Everyone who is both strong and not curious is both funny and rich and vice versa.
Everyone who is both patient and curious is both not creative and not old.
If susan is either not quiet or creative then lucy is either rich or curious and vice versa.
If someone is c... | Fred is not wise. | neutral | (((humble(lucy)|generous(lucy)))=>(~brave(fred)))&
(![X]:((strong(X)&~curious(X))<=>(funny(X)&rich(X))))&
(![X]:((patient(X)&curious(X))=>(~creative(X)&~old(X))))&
(((~quiet(susan)<~>creative(susan)))<=>((rich(lucy)<~>curious(lucy))))&
((?[X]:((calm(X)|~generous(X))))<=>((rich(lucy)|happy(lucy))))&
(![X]:((~creative(X)... | ~wise(fred) | [] | null | 0 |
Everyone who is not generous is not calm or old.
If fred is both rich and funny then someone is wise or curious and vice versa.
Everyone who is not generous or curious is happy and vice versa.
If someone is both not old and strong then alice is either quiet or generous and vice versa.
If someone is wise then john is st... | Fred is funny. | entailment | (![X]:(~generous(X)=>(~calm(X)|old(X))))&
(((rich(fred)&funny(fred)))<=>(?[X]:((wise(X)|curious(X)))))&
(![X]:((~generous(X)|curious(X))<=>happy(X)))&
((?[X]:((~old(X)&strong(X))))<=>((quiet(alice)<~>generous(alice))))&
((?[X]:(wise(X)))=>((strong(john)|wise(john))))&
(![X]:(humble(X)<=>(~tall(X)|~patient(X))))&
((?[X]... | funny(fred) | [
"p1",
"p2",
"p8",
"p13",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4697640477806923850523986
% SZS output start Proof for 4697640477806923850523986
2. (funny(fred) & rich(fred)) <=> ? [X0] : (curious(X0) | wise(X0)) [input p1]
3. ! [X0] : ((curious(X0) | ~generous(X0)) <=> happy(X0)) [input p2]
9. ! [X0] : ((~quiet(X0) | curious(X0)) <=> happy(X0)) [inpu... | 0 |
Everyone who is both not creative and happy is not tall.
If someone is not happy or creative then fred is generous.
If someone is either tall or not brave then lucy is not calm and vice versa.
Everyone who is not generous is wise or not funny and vice versa.
If lucy is either not rich or not happy then someone is calm ... | Lucy is calm. | contradiction | (![X]:((~creative(X)&happy(X))=>~tall(X)))&
((?[X]:((~happy(X)|creative(X))))=>(generous(fred)))&
((?[X]:((tall(X)<~>~brave(X))))<=>(~calm(lucy)))&
(![X]:(~generous(X)<=>(wise(X)|~funny(X))))&
(((~rich(lucy)<~>~happy(lucy)))=>(?[X]:((calm(X)|~happy(X)))))&
(![X]:((~calm(X)<~>generous(X))<=>quiet(X)))&
(![X]:((~patient(... | calm(lucy) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7643964919733105748465585
% SZS output start Proof for 7643964919733105748465585
1. ! [X0] : ((happy(X0) & ~creative(X0)) => ~tall(X0)) [input p0]
2. ? [X0] : (creative(X0) | ~happy(X0)) => generous(fred) [input p1]
3. ? [X0] : (tall(X0) <~> ~brave(X0)) <=> ~calm(lucy) [input p2]
9. ? [X0... | 0 |
Everyone who is either not calm or not brave is not kind or not happy and vice versa.
If someone is either patient or not tall then someone is not happy or not old and vice versa.
Everyone who is wise is tall or not quiet and vice versa.
Everyone who is both not rich and calm is not strong or old and vice versa.
Everyo... | Paul is not old. | entailment | (![X]:((~calm(X)<~>~brave(X))<=>(~kind(X)|~happy(X))))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:(wise(X)<=>(tall(X)|~quiet(X))))&
(![X]:((~rich(X)&calm(X))<=>(~strong(X)|old(X))))&
(![X]:((brave(X)&wise(X))<=>(~kind(X)|funny(X))))&
((~calm(alice))=>((~wise(fred)&curious(fred))))&
(![X]:... | ~old(paul) | [
"p3",
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 728317281546917676950128
% SZS output start Proof for 728317281546917676950128
4. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (old(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (funny(X0) | ~kind(X0))) [input p4]
16. ! [X0] : ((generous(X0) <~> rich(X0)) <=> (brave(X0) <... | 0 |
If someone is either not quiet or kind then someone is humble or creative and vice versa.
Everyone who is happy is either not rich or not patient.
Everyone who is both not rich and not tall is not wise.
If someone is both strong and humble then someone is either not humble or rich.
Everyone who is either not curious or... | Susan is not humble. | neutral | ((?[X]:((~quiet(X)<~>kind(X))))<=>(?[X]:((humble(X)|creative(X)))))&
(![X]:(happy(X)=>(~rich(X)<~>~patient(X))))&
(![X]:((~rich(X)&~tall(X))=>~wise(X)))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~curious(X)<~>strong(X))=>(~curious(X)|old(X))))&
(![X]:(~curious(X)<=>(~patient(X)|brave(X... | ~humble(susan) | [] | null | 0 |
If someone is both not wise and not old then someone is creative or brave.
Everyone who is not tall or not creative is both curious and not patient.
If someone is both not tall and not patient then fred is either not wise or humble and vice versa.
If someone is not patient then john is not humble and vice versa.
If fre... | Mary is calm. | entailment | ((?[X]:((~wise(X)&~old(X))))=>(?[X]:((creative(X)|brave(X)))))&
(![X]:((~tall(X)|~creative(X))=>(curious(X)&~patient(X))))&
((?[X]:((~tall(X)&~patient(X))))<=>((~wise(fred)<~>humble(fred))))&
((?[X]:(~patient(X)))<=>(~humble(john)))&
(((tall(fred)<~>~curious(fred)))<=>(?[X]:((~curious(X)<~>kind(X)))))&
((?[X]:((~quiet(... | calm(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4724424003461535057303204
% SZS output start Proof for 4724424003461535057303204
21. calm(mary) & ~old(mary) [input p20]
23. ~calm(mary) [input hypothesis]
137. calm(mary) [cnf transformation 21]
139. ~calm(mary) [cnf transformation 23]
343. $false [subsumption resolution 139,137]
% SZS o... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | Susan is generous. | contradiction | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | generous(susan) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7268853407403656166902825
% SZS output start Proof for 7268853407403656166902825
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
3. ! [X0] : ((rich(X0) | humble(X0)) => (~strong(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X... | 0 |
Everyone who is humble or not strong is either not curious or wise and vice versa. If someone is either happy or not kind then someone is patient or strong and vice versa. Everyone who is either humble or old is both not funny and humble and vice versa. Everyone who is not quiet is funny and vice versa. Everyone who is... | Mary is not creative. | entailment | (![X]:((humble(X)|~strong(X))<=>(~curious(X)<~>wise(X))))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((patient(X)|strong(X)))))&
(![X]:((humble(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:(~quiet(X)<=>funny(X)))&
(![X]:(~kind(X)<=>brave(X)))&
(![X]:((~generous(X)<~>calm(X))=>(quiet(X)|rich(X))))&
(![X]:((~rich(X)|~kind... | ~creative(mary) | [
"p2",
"p7",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2359456585885242904761025
% SZS output start Proof for 2359456585885242904761025
3. ! [X0] : ((humble(X0) <~> old(X0)) <=> (humble(X0) & ~funny(X0))) [input p2]
8. ? [X0] : (creative(X0) <~> calm(X0)) => (~funny(mary) <~> generous(mary)) [input p7]
11. ! [X0] : ((~strong(X0) & funny(X0)) ... | 0 |
If someone is strong or not old then someone is either not creative or brave.
Everyone who is not happy is both rich and happy and vice versa.
Everyone who is either not tall or old is not rich and vice versa.
If fred is either not humble or strong then someone is patient or not creative and vice versa.
If lucy is quie... | John is not curious. | entailment | ((?[X]:((strong(X)|~old(X))))=>(?[X]:((~creative(X)<~>brave(X)))))&
(![X]:(~happy(X)<=>(rich(X)&happy(X))))&
(![X]:((~tall(X)<~>old(X))<=>~rich(X)))&
(((~humble(fred)<~>strong(fred)))<=>(?[X]:((patient(X)|~creative(X)))))&
(((quiet(lucy)|~quiet(lucy)))=>(?[X]:((~happy(X)|~kind(X)))))&
((?[X]:(~old(X)))=>(?[X]:((creativ... | ~curious(john) | [
"p1",
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2729067431759015680932042
% SZS output start Proof for 2729067431759015680932042
2. ! [X0] : (~happy(X0) <=> (happy(X0) & rich(X0))) [input p1]
3. ! [X0] : ((~tall(X0) <~> old(X0)) <=> ~rich(X0)) [input p2]
8. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (rich(X0) & ~strong(X0))) [input p7]
9. ?... | 0 |
Everyone who is both not wise and not funny is not funny. Everyone who is either not wise or not old is wise or patient. Everyone who is both not generous and rich is creative and vice versa. If someone is either calm or quiet then susan is both not curious and not generous and vice versa. If someone is both rich and f... | Susan is happy. | neutral | (![X]:((~wise(X)&~funny(X))=>~funny(X)))&
(![X]:((~wise(X)<~>~old(X))=>(wise(X)|patient(X))))&
(![X]:((~generous(X)&rich(X))<=>creative(X)))&
((?[X]:((calm(X)<~>quiet(X))))<=>((~curious(susan)&~generous(susan))))&
((?[X]:((rich(X)&funny(X))))=>(?[X]:((curious(X)&~creative(X)))))&
((~patient(alice))=>(?[X]:(~creative(X)... | happy(susan) | [] | null | 0 |
Everyone who is tall or rich is either not patient or not humble and vice versa.
Everyone who is either not patient or strong is happy and vice versa.
Everyone who is both generous and quiet is not brave or not rich.
Everyone who is not kind or old is tall.
If someone is either not quiet or not strong then someone is b... | Alice is quiet. | contradiction | (![X]:((tall(X)|rich(X))<=>(~patient(X)<~>~humble(X))))&
(![X]:((~patient(X)<~>strong(X))<=>happy(X)))&
(![X]:((generous(X)&quiet(X))=>(~brave(X)|~rich(X))))&
(![X]:((~kind(X)|old(X))=>tall(X)))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~happy(X)))))&
(((creative(lucy)|curious(lucy)))<=>(?[X]:((~generous(X... | quiet(alice) | [
"p4",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3477704344588297872476019
% SZS output start Proof for 3477704344588297872476019
5. ? [X0] : (~quiet(X0) <~> ~strong(X0)) <=> ? [X0] : (~happy(X0) & happy(X0)) [input p4]
16. strong(alice) => (~patient(mary) <~> ~quiet(mary)) [input p15]
20. strong(mary) <~> ~patient(mary) [input p19]
24.... | 0 |
If mary is both generous and patient then alice is quiet or not calm and vice versa.
Everyone who is both not kind and brave is either humble or quiet and vice versa.
If someone is strong then lucy is both old and calm.
Everyone who is funny is both brave and tall and vice versa.
Everyone who is not patient is both old... | Paul is not strong. | contradiction | (((generous(mary)&patient(mary)))<=>((quiet(alice)|~calm(alice))))&
(![X]:((~kind(X)&brave(X))<=>(humble(X)<~>quiet(X))))&
((?[X]:(strong(X)))=>((old(lucy)&calm(lucy))))&
(![X]:(funny(X)<=>(brave(X)&tall(X))))&
(![X]:(~patient(X)=>(old(X)&funny(X))))&
(((~happy(fred)|wise(fred)))=>(?[X]:((patient(X)&~creative(X)))))&
(... | ~strong(paul) | [
"p7",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 432588778689656837884093
% SZS output start Proof for 432588778689656837884093
8. ! [X0] : ((old(X0) <~> ~patient(X0)) => ~patient(X0)) [input p7]
14. ! [X0] : ((creative(X0) | ~old(X0)) <=> strong(X0)) [input p13]
20. ~happy(paul) & patient(paul) [input p19]
23. ~strong(paul) [input hypo... | 0 |
If someone is not old or not brave then someone is both not strong and not humble and vice versa. If someone is either kind or generous then mary is curious or tall. Everyone who is either not brave or not patient is either curious or quiet. Everyone who is either happy or not quiet is both not humble and generous and ... | Susan is old. | neutral | ((?[X]:((~old(X)|~brave(X))))<=>(?[X]:((~strong(X)&~humble(X)))))&
((?[X]:((kind(X)<~>generous(X))))=>((curious(mary)|tall(mary))))&
(![X]:((~brave(X)<~>~patient(X))=>(curious(X)<~>quiet(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~humble(X)&generous(X))))&
(![X]:((curious(X)|~kind(X))=>(~tall(X)|~brave(X))))&
(![X]:((~wis... | old(susan) | [] | null | 0 |
Everyone who is wise is either not funny or not curious.
Everyone who is both tall and curious is not humble.
If someone is either curious or old then someone is both not humble and not happy.
Everyone who is curious or not kind is not wise or not tall.
Everyone who is both not patient and rich is both quiet and not ge... | Fred is not curious. | neutral | (![X]:(wise(X)=>(~funny(X)<~>~curious(X))))&
(![X]:((tall(X)&curious(X))=>~humble(X)))&
((?[X]:((curious(X)<~>old(X))))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((curious(X)|~kind(X))=>(~wise(X)|~tall(X))))&
(![X]:((~patient(X)&rich(X))=>(quiet(X)&~generous(X))))&
(![X]:((funny(X)|calm(X))<=>~brave(X)))&
(![X]:(~genero... | ~curious(fred) | [] | null | 0 |
If someone is both not kind and funny then paul is both not calm and old.
Everyone who is not rich is not strong or creative.
Everyone who is not creative is both rich and not creative and vice versa.
Everyone who is either not generous or kind is generous or not kind.
Everyone who is both not tall and strong is not ca... | Paul is not kind. | contradiction | ((?[X]:((~kind(X)&funny(X))))=>((~calm(paul)&old(paul))))&
(![X]:(~rich(X)=>(~strong(X)|creative(X))))&
(![X]:(~creative(X)<=>(rich(X)&~creative(X))))&
(![X]:((~generous(X)<~>kind(X))=>(generous(X)|~kind(X))))&
(![X]:((~tall(X)&strong(X))<=>~calm(X)))&
((?[X]:((~patient(X)&quiet(X))))<=>((quiet(paul)|creative(paul))))&... | ~kind(paul) | [
"p0",
"p4",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2298471193566674233370936
% SZS output start Proof for 2298471193566674233370936
1. ? [X0] : (funny(X0) & ~kind(X0)) => (old(paul) & ~calm(paul)) [input p0]
5. ! [X0] : ((strong(X0) & ~tall(X0)) <=> ~calm(X0)) [input p4]
10. ! [X0] : ((brave(X0) | ~tall(X0)) <=> (~calm(X0) & ~strong(X0)))... | 0 |
Everyone who is either not strong or not rich is either not generous or old and vice versa. If mary is kind or not strong then someone is not creative. If paul is either creative or tall then alice is both kind and not kind and vice versa. Everyone who is not happy or curious is kind or not curious. Everyone who is bot... | Paul is humble. | contradiction | (![X]:((~strong(X)<~>~rich(X))<=>(~generous(X)<~>old(X))))&
(((kind(mary)|~strong(mary)))=>(?[X]:(~creative(X))))&
(((creative(paul)<~>tall(paul)))<=>((kind(alice)&~kind(alice))))&
(![X]:((~happy(X)|curious(X))=>(kind(X)|~curious(X))))&
(![X]:((quiet(X)&brave(X))=>(patient(X)<~>~old(X))))&
((?[X]:((patient(X)<~>~quiet(... | humble(paul) | [
"p2",
"p6",
"p8",
"p10",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1152729468830599306171302
% SZS output start Proof for 1152729468830599306171302
3. (creative(paul) <~> tall(paul)) <=> (~kind(alice) & kind(alice)) [input p2]
7. ! [X0] : (funny(X0) => (humble(X0) <~> ~generous(X0))) [input p6]
9. ! [X0] : ((~creative(X0) | kind(X0)) <=> ~generous(X0)) [... | 0 |
Everyone who is both happy and not curious is both brave and not brave.
Everyone who is not old or not wise is both wise and happy and vice versa.
Everyone who is either rich or not humble is both calm and wise and vice versa.
Everyone who is not happy is strong and vice versa.
If lucy is both generous and not calm the... | Alice is not funny. | neutral | (![X]:((happy(X)&~curious(X))=>(brave(X)&~brave(X))))&
(![X]:((~old(X)|~wise(X))<=>(wise(X)&happy(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(calm(X)&wise(X))))&
(![X]:(~happy(X)<=>strong(X)))&
(((generous(lucy)&~calm(lucy)))<=>(?[X]:(~wise(X))))&
(((~wise(mary)|~strong(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:(~b... | ~funny(alice) | [] | null | 0 |
Everyone who is either not strong or old is both strong and not tall. Everyone who is patient or not calm is both not wise and old. If john is funny or curious then lucy is either generous or tall. If someone is not patient then someone is not generous. If someone is kind then someone is either not happy or not strong.... | Mary is tall. | contradiction | (![X]:((~strong(X)<~>old(X))=>(strong(X)&~tall(X))))&
(![X]:((patient(X)|~calm(X))=>(~wise(X)&old(X))))&
(((funny(john)|curious(john)))=>((generous(lucy)<~>tall(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:(~generous(X))))&
((?[X]:(kind(X)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
(![X]:((old(X)<~>~humble(X))<=>(~curious(X)&~pa... | tall(mary) | [
"p0",
"p1",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7063545107849088494853421
% SZS output start Proof for 7063545107849088494853421
1. ! [X0] : ((~strong(X0) <~> old(X0)) => (~tall(X0) & strong(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | patient(X0)) => (old(X0) & ~wise(X0))) [input p1]
8. rich(mary) => (~calm(mary) & generous(mary)) [inpu... | 0 |
If fred is not happy or rich then someone is not curious. Everyone who is old or not generous is either wise or funny and vice versa. If paul is quiet then someone is either creative or humble. Everyone who is not creative is not calm and vice versa. Everyone who is calm or not tall is both funny and wise. If someone i... | Lucy is brave. | contradiction | (((~happy(fred)|rich(fred)))=>(?[X]:(~curious(X))))&
(![X]:((old(X)|~generous(X))<=>(wise(X)<~>funny(X))))&
((quiet(paul))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((calm(X)|~tall(X))=>(funny(X)&wise(X))))&
((?[X]:(quiet(X)))<=>((~creative(susan)&patient(susan))))&
(![X]:((wise(X)|~... | brave(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 108905651963418853115848
% SZS output start Proof for 108905651963418853115848
2. ! [X0] : ((~generous(X0) | old(X0)) <=> (wise(X0) <~> funny(X0))) [input p1]
4. ! [X0] : (~creative(X0) <=> ~calm(X0)) [input p3]
5. ! [X0] : ((~tall(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p4]
6. ... | 0 |
Everyone who is funny or not quiet is not funny.
Everyone who is both not happy and brave is curious and vice versa.
Everyone who is either calm or not brave is brave and vice versa.
Everyone who is either happy or tall is either not quiet or not tall.
Everyone who is both not funny and not brave is calm and vice versa... | Lucy is not old. | entailment | (![X]:((funny(X)|~quiet(X))=>~funny(X)))&
(![X]:((~happy(X)&brave(X))<=>curious(X)))&
(![X]:((calm(X)<~>~brave(X))<=>brave(X)))&
(![X]:((happy(X)<~>tall(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curi... | ~old(lucy) | [
"p1",
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 671586077058769860829275
% SZS output start Proof for 671586077058769860829275
2. ! [X0] : ((brave(X0) & ~happy(X0)) <=> curious(X0)) [input p1]
3. ! [X0] : ((calm(X0) <~> ~brave(X0)) <=> brave(X0)) [input p2]
5. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> calm(X0)) [input p4]
6. ! [X0] : ((o... | 0 |
If alice is either not tall or not old then someone is curious or not calm.
Everyone who is not patient or wise is patient or creative and vice versa.
If paul is not old or patient then someone is creative or brave and vice versa.
If alice is not rich or not generous then someone is patient and vice versa.
If someone i... | Paul is tall. | entailment | (((~tall(alice)<~>~old(alice)))=>(?[X]:((curious(X)|~calm(X)))))&
(![X]:((~patient(X)|wise(X))<=>(patient(X)|creative(X))))&
(((~old(paul)|patient(paul)))<=>(?[X]:((creative(X)|brave(X)))))&
(((~rich(alice)|~generous(alice)))<=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((ki... | tall(paul) | [
"p2",
"p10",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3122943592877381082543641
% SZS output start Proof for 3122943592877381082543641
3. (patient(paul) | ~old(paul)) <=> ? [X0] : (brave(X0) | creative(X0)) [input p2]
11. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~calm(X0) & ~patient(X0))) [input p10]
12. ! [X0] : ((~old(X0) | wise(X0)) =>... | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Susan is not funny. | contradiction | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | ~funny(susan) | [
"p0",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3441410066807061984971201
% SZS output start Proof for 3441410066807061984971201
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
9. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X0) & ~rich(X0))) [input p8]
11. ! [X0] : (happy(X0) => (~old(X0) & funny... | 0 |
If susan is curious or not curious then someone is not brave. If someone is both not rich and old then someone is not funny and vice versa. If someone is not strong or tall then fred is both not creative and not humble. If mary is not humble then someone is old or not brave and vice versa. If someone is either not rich... | Susan is brave. | neutral | (((curious(susan)|~curious(susan)))=>(?[X]:(~brave(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~strong(X)|tall(X))))=>((~creative(fred)&~humble(fred))))&
((~humble(mary))<=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((~rich(X)<~>strong(X))))=>((~generous(fred)&curious(fred))))&
(![X]:((~patient(X)&tall... | brave(susan) | [] | null | 0 |
If someone is humble or not generous then someone is rich or not wise.
If someone is both not creative and not curious then mary is brave.
If someone is both brave and wise then someone is either not rich or kind and vice versa.
Everyone who is either not old or not rich is not tall or calm and vice versa.
If someone i... | Fred is not patient. | entailment | ((?[X]:((humble(X)|~generous(X))))=>(?[X]:((rich(X)|~wise(X)))))&
((?[X]:((~creative(X)&~curious(X))))=>(brave(mary)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:((~old(X)<~>~rich(X))<=>(~tall(X)|calm(X))))&
((?[X]:((~brave(X)<~>~kind(X))))<=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:((generous(X)&... | ~patient(fred) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7754365811643136588194688
% SZS output start Proof for 7754365811643136588194688
4. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (calm(X0) | ~tall(X0))) [input p3]
5. ? [X0] : (~brave(X0) <~> ~kind(X0)) <=> ? [X0] : (kind(X0) & ~kind(X0)) [input p4]
7. ! [X0] : (funny(X0) <=> (~patient(X0) | ~c... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or kind then paul is both not wise and creative.
If john is kind then someone is not generous.
If susan is funny then someone is tall or not patient.
Everyone who is not generous is not kind.
I... | Mary is tall. | contradiction | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>kind(mary)))=>((~wise(paul)&creative(paul))))&
((kind(john))=>(?[X]:(~generous(X))))&
((funny(susan))=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:(~generous(X)=>~kind(X)))&
((?[X]:(~humble(X)))<=>((~rich(paul)&quiet(paul))))&
(((humble(a... | tall(mary) | [
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2060166959633461589622327
% SZS output start Proof for 2060166959633461589622327
6. ? [X0] : ~humble(X0) <=> (quiet(paul) & ~rich(paul)) [input p5]
9. (generous(paul) & rich(paul)) <=> ? [X0] : (~humble(X0) <~> ~tall(X0)) [input p8]
13. ! [X0] : (tall(X0) <=> ~humble(X0)) [input p12]
23. ... | 0 |
If someone is both not calm and not old then someone is not old.
If paul is generous then someone is strong and vice versa.
Everyone who is happy is both not generous and kind.
Everyone who is not generous or brave is either not creative or not strong.
If someone is old then someone is not generous and vice versa.
Ever... | Lucy is generous. | neutral | ((?[X]:((~calm(X)&~old(X))))=>(?[X]:(~old(X))))&
((generous(paul))<=>(?[X]:(strong(X))))&
(![X]:(happy(X)=>(~generous(X)&kind(X))))&
(![X]:((~generous(X)|brave(X))=>(~creative(X)<~>~strong(X))))&
((?[X]:(old(X)))<=>(?[X]:(~generous(X))))&
(![X]:(~wise(X)=>(~generous(X)<~>rich(X))))&
(![X]:((rich(X)|humble(X))=>(kind(X)... | generous(lucy) | [] | null | 0 |
If mary is both rich and happy then someone is either not kind or not rich. If someone is not happy or not brave then susan is both calm and not rich. If someone is either not funny or funny then paul is either not calm or not tall and vice versa. If someone is both generous and not generous then someone is kind and vi... | Susan is not patient. | neutral | (((rich(mary)&happy(mary)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~brave(X))))=>((calm(susan)&~rich(susan))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)<=>(~calm(X)|~generous(X))))&
(((patient(alice)&~gene... | ~patient(susan) | [] | null | 0 |
Everyone who is either funny or happy is not funny or humble and vice versa. If someone is both not curious and humble then someone is either not old or patient and vice versa. Everyone who is creative or patient is not kind. If someone is not funny then someone is either kind or strong. Everyone who is either kind or ... | John is patient. | contradiction | (![X]:((funny(X)<~>happy(X))<=>(~funny(X)|humble(X))))&
((?[X]:((~curious(X)&humble(X))))<=>(?[X]:((~old(X)<~>patient(X)))))&
(![X]:((creative(X)|patient(X))=>~kind(X)))&
((?[X]:(~funny(X)))=>(?[X]:((kind(X)<~>strong(X)))))&
(![X]:((kind(X)<~>calm(X))<=>(patient(X)|curious(X))))&
((?[X]:((calm(X)<~>~humble(X))))=>(?[X]... | patient(john) | [
"p2",
"p4",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 141384766539966629523914
% SZS output start Proof for 141384766539966629523914
3. ! [X0] : ((patient(X0) | creative(X0)) => ~kind(X0)) [input p2]
5. ! [X0] : ((kind(X0) <~> calm(X0)) <=> (curious(X0) | patient(X0))) [input p4]
9. ! [X0] : ((quiet(X0) | ~quiet(X0)) <=> (~happy(X0) & quiet(... | 0 |
If john is not quiet then alice is not patient and vice versa. If john is either not old or brave then someone is not happy and vice versa. If someone is not funny then lucy is both rich and not creative. If lucy is not creative or rich then alice is not tall and vice versa. If someone is both not kind and wise then su... | Lucy is not calm. | neutral | ((~quiet(john))<=>(~patient(alice)))&
(((~old(john)<~>brave(john)))<=>(?[X]:(~happy(X))))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~kind(X)&wise(X))))=>((creative(susan)<~>~kind(susan))))&
(![X]:((kind(X)&funny(X))<=>generous(X)))&
((?[X]:((~tall... | ~calm(lucy) | [] | null | 0 |
Everyone who is not curious is generous or not patient.
Everyone who is not kind is both not curious and not generous.
If someone is either not kind or not tall then someone is either curious or not wise and vice versa.
Everyone who is funny or not wise is tall.
If someone is both old and creative then someone is not s... | Susan is not quiet. | entailment | (![X]:(~curious(X)=>(generous(X)|~patient(X))))&
(![X]:(~kind(X)=>(~curious(X)&~generous(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(![X]:((funny(X)|~wise(X))=>tall(X)))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~strong(X)|~patient(X)))))&
(((tall(mary)|humble(mary)))<=>(?[X]:((strong(X... | ~quiet(susan) | [
"p1",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1736494294000221635746221
% SZS output start Proof for 1736494294000221635746221
2. ! [X0] : (~kind(X0) => (~generous(X0) & ~curious(X0))) [input p1]
7. ! [X0] : (~kind(X0) <=> happy(X0)) [input p6]
11. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> ~curious(X0)) [input p10]
13. ? [X0] : (quiet(... | 0 |
If someone is not brave then john is either brave or not humble and vice versa.
Everyone who is old is not old.
If someone is not creative then mary is either calm or not kind.
Everyone who is patient or not happy is both happy and not brave.
Everyone who is happy is both not funny and not old.
If someone is both not t... | Alice is patient. | entailment | ((?[X]:(~brave(X)))<=>((brave(john)<~>~humble(john))))&
(![X]:(old(X)=>~old(X)))&
((?[X]:(~creative(X)))=>((calm(mary)<~>~kind(mary))))&
(![X]:((patient(X)|~happy(X))=>(happy(X)&~brave(X))))&
(![X]:(happy(X)=>(~funny(X)&~old(X))))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((humble(X)&~hum... | patient(alice) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8871874184972055358752239
% SZS output start Proof for 8871874184972055358752239
2. ! [X0] : (old(X0) => ~old(X0)) [input p1]
7. ! [X0] : ((~humble(X0) & humble(X0)) <=> (patient(X0) <~> ~old(X0))) [input p6]
21. ~patient(alice) [input hypothesis]
26. ! [X0] : (~old(X0) | ~old(X0)) [ennf ... | 0 |
If someone is happy or strong then someone is either not calm or not wise and vice versa. If paul is either creative or not generous then someone is not strong. If someone is happy or not wise then someone is not strong and vice versa. Everyone who is strong or not generous is both not wise and not patient. If someone ... | Mary is wise. | neutral | ((?[X]:((happy(X)|strong(X))))<=>(?[X]:((~calm(X)<~>~wise(X)))))&
(((creative(paul)<~>~generous(paul)))=>(?[X]:(~strong(X))))&
((?[X]:((happy(X)|~wise(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)|~generous(X))=>(~wise(X)&~patient(X))))&
((?[X]:((~creative(X)|~funny(X))))<=>(tall(paul)))&
(((old(susan)<~>~quiet(susan... | wise(mary) | [] | null | 0 |
If someone is not rich then someone is either not quiet or quiet. If susan is not kind or not funny then someone is not rich or creative and vice versa. Everyone who is not strong is both humble and calm. Everyone who is wise or humble is both quiet and not funny and vice versa. Everyone who is not generous is not old.... | Alice is not creative. | neutral | ((?[X]:(~rich(X)))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(((~kind(susan)|~funny(susan)))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:(~strong(X)=>(humble(X)&calm(X))))&
(![X]:((wise(X)|humble(X))<=>(quiet(X)&~funny(X))))&
(![X]:(~generous(X)=>~old(X)))&
((creative(paul))<=>((rich(lucy)&~wise(lucy))))&
(![X]:((tall(X)<~>wise... | ~creative(alice) | [] | null | 0 |
If alice is rich then john is both curious and quiet and vice versa.
Everyone who is tall is strong or not kind and vice versa.
If someone is both not brave and kind then fred is either not rich or happy and vice versa.
Everyone who is both not old and kind is both tall and quiet and vice versa.
If someone is not stron... | Susan is not funny. | entailment | ((rich(alice))<=>((curious(john)&quiet(john))))&
(![X]:(tall(X)<=>(strong(X)|~kind(X))))&
((?[X]:((~brave(X)&kind(X))))<=>((~rich(fred)<~>happy(fred))))&
(![X]:((~old(X)&kind(X))<=>(tall(X)&quiet(X))))&
((?[X]:(~strong(X)))<=>((~creative(paul)&~happy(paul))))&
(![X]:((strong(X)&~rich(X))<=>(~funny(X)<~>happy(X))))&
((?... | ~funny(susan) | [
"p2",
"p5",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6966885115881838036179192
% SZS output start Proof for 6966885115881838036179192
3. ? [X0] : (kind(X0) & ~brave(X0)) <=> (~rich(fred) <~> happy(fred)) [input p2]
6. ! [X0] : ((~rich(X0) & strong(X0)) <=> (~funny(X0) <~> happy(X0))) [input p5]
9. (~humble(john) & ~creative(john)) <=> ? [X0... | 0 |
If john is either patient or generous then someone is either not strong or patient. If lucy is either not generous or creative then paul is not funny or brave. If fred is kind then fred is either not curious or creative. Everyone who is not old or kind is tall and vice versa. Everyone who is either not funny or not cur... | Paul is curious. | contradiction | (((patient(john)<~>generous(john)))=>(?[X]:((~strong(X)<~>patient(X)))))&
(((~generous(lucy)<~>creative(lucy)))=>((~funny(paul)|brave(paul))))&
((kind(fred))=>((~curious(fred)<~>creative(fred))))&
(![X]:((~old(X)|kind(X))<=>tall(X)))&
(![X]:((~funny(X)<~>~curious(X))<=>(~calm(X)|~strong(X))))&
((?[X]:(~rich(X)))<=>(?[X... | curious(paul) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6142921518849840178292643
% SZS output start Proof for 6142921518849840178292643
5. ! [X0] : ((~funny(X0) <~> ~curious(X0)) <=> (~strong(X0) | ~calm(X0))) [input p4]
13. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (strong(X0) & ~calm(X0))) [input p12]
23. curious(paul) [input hypothesis]
46... | 0 |
Everyone who is both humble and not creative is either creative or not wise and vice versa.
Everyone who is either not creative or kind is not calm.
Everyone who is generous or quiet is kind and vice versa.
If someone is wise or not wise then someone is not humble or not wise and vice versa.
If someone is not calm then... | Paul is not quiet. | contradiction | (![X]:((humble(X)&~creative(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((~creative(X)<~>kind(X))=>~calm(X)))&
(![X]:((generous(X)|quiet(X))<=>kind(X)))&
((?[X]:((wise(X)|~wise(X))))<=>(?[X]:((~humble(X)|~wise(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)&brave(X))=>~tall(X)))&
(![X]:((~humble(X)&~cre... | ~quiet(paul) | [
"p0",
"p1",
"p2",
"p7",
"p9",
"p11",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6111140033086363289994384
% SZS output start Proof for 6111140033086363289994384
1. ! [X0] : ((~creative(X0) & humble(X0)) <=> (creative(X0) <~> ~wise(X0))) [input p0]
2. ! [X0] : ((~creative(X0) <~> kind(X0)) => ~calm(X0)) [input p1]
3. ! [X0] : ((quiet(X0) | generous(X0)) <=> kind(X0)) ... | 0 |
If someone is curious or patient then alice is creative and vice versa.
Everyone who is rich is kind and vice versa.
If john is not patient or rich then paul is either not funny or not humble and vice versa.
Everyone who is both happy and not wise is not quiet or rich.
If someone is both curious and creative then someo... | Paul is patient. | neutral | ((?[X]:((curious(X)|patient(X))))<=>(creative(alice)))&
(![X]:(rich(X)<=>kind(X)))&
(((~patient(john)|rich(john)))<=>((~funny(paul)<~>~humble(paul))))&
(![X]:((happy(X)&~wise(X))=>(~quiet(X)|rich(X))))&
((?[X]:((curious(X)&creative(X))))<=>(?[X]:((~humble(X)|curious(X)))))&
(![X]:((old(X)&~wise(X))=>(~curious(X)&~old(X... | patient(paul) | [] | null | 0 |
If someone is either funny or not calm then someone is both not rich and not funny. Everyone who is both kind and not patient is curious or not creative. Everyone who is tall is either tall or funny and vice versa. If someone is either not tall or not calm then john is not old or not generous. Everyone who is both crea... | Alice is happy. | entailment | ((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((kind(X)&~patient(X))=>(curious(X)|~creative(X))))&
(![X]:(tall(X)<=>(tall(X)<~>funny(X))))&
((?[X]:((~tall(X)<~>~calm(X))))=>((~old(john)|~generous(john))))&
(![X]:((creative(X)&~generous(X))=>(strong(X)|kind(X))))&
((calm(fred))=>((~generous(alic... | happy(alice) | [
"p2",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 277728176426231475450868
% SZS output start Proof for 277728176426231475450868
3. ! [X0] : (tall(X0) <=> (tall(X0) <~> funny(X0))) [input p2]
7. ! [X0] : (calm(X0) <=> (quiet(X0) & ~old(X0))) [input p6]
10. ! [X0] : ((~quiet(X0) & ~patient(X0)) => (~funny(X0) <~> ~patient(X0))) [input p9]... | 0 |
Everyone who is both humble and not creative is either creative or not wise and vice versa.
Everyone who is either not creative or kind is not calm.
Everyone who is generous or quiet is kind and vice versa.
If someone is wise or not wise then someone is not humble or not wise and vice versa.
If someone is not calm then... | John is not rich. | neutral | (![X]:((humble(X)&~creative(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((~creative(X)<~>kind(X))=>~calm(X)))&
(![X]:((generous(X)|quiet(X))<=>kind(X)))&
((?[X]:((wise(X)|~wise(X))))<=>(?[X]:((~humble(X)|~wise(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)&brave(X))=>~tall(X)))&
(![X]:((~humble(X)&~cre... | ~rich(john) | [] | null | 0 |
If someone is both not old and not humble then someone is kind or creative.
Everyone who is both kind and not generous is either generous or not generous and vice versa.
Everyone who is wise is either not generous or old and vice versa.
Everyone who is brave or not curious is generous.
Everyone who is not patient or cr... | Alice is creative. | neutral | ((?[X]:((~old(X)&~humble(X))))=>(?[X]:((kind(X)|creative(X)))))&
(![X]:((kind(X)&~generous(X))<=>(generous(X)<~>~generous(X))))&
(![X]:(wise(X)<=>(~generous(X)<~>old(X))))&
(![X]:((brave(X)|~curious(X))=>generous(X)))&
(![X]:((~patient(X)|creative(X))=>(happy(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~quiet(X)))... | creative(alice) | [] | null | 0 |
Everyone who is either strong or quiet is not creative or not strong and vice versa.
If fred is quiet or patient then someone is not wise.
If someone is either calm or not rich then john is old or calm.
Everyone who is both old and brave is calm or not strong and vice versa.
If alice is kind or not rich then alice is b... | Alice is not generous. | entailment | (![X]:((strong(X)<~>quiet(X))<=>(~creative(X)|~strong(X))))&
(((quiet(fred)|patient(fred)))=>(?[X]:(~wise(X))))&
((?[X]:((calm(X)<~>~rich(X))))=>((old(john)|calm(john))))&
(![X]:((old(X)&brave(X))<=>(calm(X)|~strong(X))))&
(((kind(alice)|~rich(alice)))<=>((~curious(alice)&rich(alice))))&
(![X]:((happy(X)<~>old(X))<=>~h... | ~generous(alice) | [
"p4",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4481197845338819010763091
% SZS output start Proof for 4481197845338819010763091
5. (~rich(alice) | kind(alice)) <=> (rich(alice) & ~curious(alice)) [input p4]
9. ! [X0] : ((~rich(X0) <~> creative(X0)) => ~generous(X0)) [input p8]
19. creative(alice) [input p18]
24. generous(alice) [input... | 0 |
Everyone who is both not strong and not generous is not happy or not kind and vice versa.
If someone is either not calm or not generous then someone is rich or wise and vice versa.
Everyone who is either kind or humble is either not patient or not old and vice versa.
Everyone who is old is either humble or not generous... | Lucy is not old. | entailment | (![X]:((~strong(X)&~generous(X))<=>(~happy(X)|~kind(X))))&
((?[X]:((~calm(X)<~>~generous(X))))<=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((kind(X)<~>humble(X))<=>(~patient(X)<~>~old(X))))&
(![X]:(old(X)=>(humble(X)<~>~generous(X))))&
(![X]:((~calm(X)<~>kind(X))<=>~happy(X)))&
((?[X]:((~brave(X)&wise(X))))<=>((curious(alice)... | ~old(lucy) | [
"p0",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6043770488796780788869580
% SZS output start Proof for 6043770488796780788869580
1. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (~kind(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((~calm(X0) <~> kind(X0)) <=> ~happy(X0)) [input p4]
10. ! [X0] : (old(X0) => (generous(X0) & calm(X0))) [input ... | 0 |
If someone is not kind then someone is either funny or not strong and vice versa.
Everyone who is either rich or not calm is old or not creative.
Everyone who is not humble is either not quiet or wise and vice versa.
If lucy is both generous and not patient then susan is both rich and not rich and vice versa.
If fred i... | Alice is wise. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((funny(X)<~>~strong(X)))))&
(![X]:((rich(X)<~>~calm(X))=>(old(X)|~creative(X))))&
(![X]:(~humble(X)<=>(~quiet(X)<~>wise(X))))&
(((generous(lucy)&~patient(lucy)))<=>((rich(susan)&~rich(susan))))&
(((humble(fred)|strong(fred)))=>((quiet(john)|strong(john))))&
((?[X]:((~rich(X)<~>wise(X))))<=>(... | wise(alice) | [] | null | 0 |
Everyone who is not patient or not old is not wise or calm and vice versa.
If someone is not creative or not generous then susan is not tall.
Everyone who is either not strong or not quiet is both old and brave and vice versa.
Everyone who is not patient or wise is both not wise and not funny.
Everyone who is funny is ... | Mary is not happy. | entailment | (![X]:((~patient(X)|~old(X))<=>(~wise(X)|calm(X))))&
((?[X]:((~creative(X)|~generous(X))))=>(~tall(susan)))&
(![X]:((~strong(X)<~>~quiet(X))<=>(old(X)&brave(X))))&
(![X]:((~patient(X)|wise(X))=>(~wise(X)&~funny(X))))&
(![X]:(funny(X)<=>(calm(X)&funny(X))))&
(![X]:((~happy(X)&~humble(X))<=>(~creative(X)|calm(X))))&
(![X... | ~happy(mary) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3133771370416257456962792
% SZS output start Proof for 3133771370416257456962792
6. ! [X0] : ((~humble(X0) & ~happy(X0)) <=> (calm(X0) | ~creative(X0))) [input p5]
13. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> ~creative(X0)) [input p12]
22. happy(mary) [input hypothesis]
40. ! [X0] : (((~hum... | 0 |
Everyone who is calm is either not calm or not old.
Everyone who is not strong is funny and vice versa.
Everyone who is both quiet and not generous is not wise or brave and vice versa.
Everyone who is kind is not quiet.
If someone is not brave then someone is not calm or tall.
If someone is not rich then someone is bot... | Alice is not happy. | neutral | (![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:(~strong(X)<=>funny(X)))&
(![X]:((quiet(X)&~generous(X))<=>(~wise(X)|brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~calm(X)|tall(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((brave(X)&kind(X)))))&
(![X]:((~happy(X)<~>~humble(X))<=>(~creative(X)&~humble(X))))&... | ~happy(alice) | [] | null | 0 |
If someone is both not quiet and not calm then mary is either not humble or not happy.
Everyone who is either quiet or kind is wise or not generous.
Everyone who is not generous is humble or kind and vice versa.
If alice is both calm and rich then alice is both generous and kind.
If someone is both strong and patient t... | Fred is not tall. | neutral | ((?[X]:((~quiet(X)&~calm(X))))=>((~humble(mary)<~>~happy(mary))))&
(![X]:((quiet(X)<~>kind(X))=>(wise(X)|~generous(X))))&
(![X]:(~generous(X)<=>(humble(X)|kind(X))))&
(((calm(alice)&rich(alice)))=>((generous(alice)&kind(alice))))&
((?[X]:((strong(X)&patient(X))))<=>(curious(susan)))&
(![X]:((~happy(X)&curious(X))<=>(ge... | ~tall(fred) | [] | null | 0 |
Everyone who is not kind or tall is both not wise and tall. Everyone who is strong or happy is tall. Everyone who is not creative or kind is either old or not curious and vice versa. Everyone who is either creative or not patient is not strong and vice versa. Everyone who is both creative and not rich is both creative ... | Susan is humble. | contradiction | (![X]:((~kind(X)|tall(X))=>(~wise(X)&tall(X))))&
(![X]:((strong(X)|happy(X))=>tall(X)))&
(![X]:((~creative(X)|kind(X))<=>(old(X)<~>~curious(X))))&
(![X]:((creative(X)<~>~patient(X))<=>~strong(X)))&
(![X]:((creative(X)&~rich(X))<=>(creative(X)&happy(X))))&
(![X]:((~rich(X)|patient(X))=>curious(X)))&
((~strong(alice))<=>... | humble(susan) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5072900649347529043941319
% SZS output start Proof for 5072900649347529043941319
1. ! [X0] : ((tall(X0) | ~kind(X0)) => (tall(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((happy(X0) | strong(X0)) => tall(X0)) [input p1]
3. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (old(X0) <~> ~curious(X0))) ... | 0 |
Everyone who is not creative or not calm is not patient. Everyone who is humble or quiet is both tall and calm. Everyone who is both not old and happy is both funny and humble. If lucy is not strong or not curious then fred is either not wise or not generous. If susan is either generous or not tall then someone is not ... | Lucy is not generous. | contradiction | (![X]:((~creative(X)|~calm(X))=>~patient(X)))&
(![X]:((humble(X)|quiet(X))=>(tall(X)&calm(X))))&
(![X]:((~old(X)&happy(X))=>(funny(X)&humble(X))))&
(((~strong(lucy)|~curious(lucy)))=>((~wise(fred)<~>~generous(fred))))&
(((generous(susan)<~>~tall(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:(old(X)<=>(~generous(X)<~>... | ~generous(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3178888320699509312969120
% SZS output start Proof for 3178888320699509312969120
15. ! [X0] : ((strong(X0) <~> generous(X0)) <=> ~strong(X0)) [input p14]
23. ~generous(lucy) [input hypothesis]
58. ! [X0] : ((((~generous(X0) | ~strong(X0)) & (generous(X0) | strong(X0))) | strong(X0)) & (~s... | 0 |
Everyone who is not happy or curious is both quiet and not creative.
If fred is either not kind or not rich then alice is either not tall or patient.
Everyone who is both not tall and calm is brave or not rich and vice versa.
If paul is tall then alice is both curious and wise and vice versa.
Everyone who is tall or hu... | Alice is not funny. | neutral | (![X]:((~happy(X)|curious(X))=>(quiet(X)&~creative(X))))&
(((~kind(fred)<~>~rich(fred)))=>((~tall(alice)<~>patient(alice))))&
(![X]:((~tall(X)&calm(X))<=>(brave(X)|~rich(X))))&
((tall(paul))<=>((curious(alice)&wise(alice))))&
(![X]:((tall(X)|humble(X))<=>(kind(X)|creative(X))))&
(![X]:(old(X)<=>(rich(X)<~>funny(X))))&
... | ~funny(alice) | [] | null | 0 |
Everyone who is brave or not tall is either not quiet or wise and vice versa. If fred is both not creative and quiet then alice is both not calm and creative and vice versa. Everyone who is not quiet is not strong and vice versa. If someone is not creative then alice is either not strong or old. If someone is either ca... | Paul is rich. | entailment | (![X]:((brave(X)|~tall(X))<=>(~quiet(X)<~>wise(X))))&
(((~creative(fred)&quiet(fred)))<=>((~calm(alice)&creative(alice))))&
(![X]:(~quiet(X)<=>~strong(X)))&
((?[X]:(~creative(X)))=>((~strong(alice)<~>old(alice))))&
((?[X]:((calm(X)<~>quiet(X))))=>(~generous(lucy)))&
(![X]:((rich(X)<~>~brave(X))=>(humble(X)&~creative(X)... | rich(paul) | [
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7176304782436501184302281
% SZS output start Proof for 7176304782436501184302281
11. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~kind(X0) <~> kind(X0))) [input p10]
19. strong(paul) [input p18]
25. ~rich(paul) [input hypothesis]
51. ! [X0] : (((~strong(X0) | rich(X0)) | ((~kind(X0) | ~kind(X... | 0 |
Everyone who is either rich or not tall is not curious and vice versa.
Everyone who is not humble is rich.
If lucy is either not tall or funny then mary is not rich or kind.
If someone is not kind then fred is both not funny and kind.
If mary is both not humble and not strong then paul is either curious or not wise and... | Mary is rich. | neutral | (![X]:((rich(X)<~>~tall(X))<=>~curious(X)))&
(![X]:(~humble(X)=>rich(X)))&
(((~tall(lucy)<~>funny(lucy)))=>((~rich(mary)|kind(mary))))&
((?[X]:(~kind(X)))=>((~funny(fred)&kind(fred))))&
(((~humble(mary)&~strong(mary)))<=>((curious(paul)<~>~wise(paul))))&
(![X]:((wise(X)&~humble(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((... | rich(mary) | [] | null | 0 |
Everyone who is calm is tall and vice versa.
Everyone who is calm is generous.
Everyone who is wise is not curious and vice versa.
If someone is not happy or not tall then alice is not strong.
Everyone who is both funny and happy is both not curious and strong.
If susan is calm or not kind then someone is creative and ... | Susan is not kind. | contradiction | (![X]:(calm(X)<=>tall(X)))&
(![X]:(calm(X)=>generous(X)))&
(![X]:(wise(X)<=>~curious(X)))&
((?[X]:((~happy(X)|~tall(X))))=>(~strong(alice)))&
(![X]:((funny(X)&happy(X))=>(~curious(X)&strong(X))))&
(((calm(susan)|~kind(susan)))<=>(?[X]:(creative(X))))&
(((happy(lucy)|strong(lucy)))<=>((generous(susan)|curious(susan))))&... | ~kind(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7949715704266631407482313
% SZS output start Proof for 7949715704266631407482313
19. kind(susan) [input p18]
24. ~kind(susan) [input hypothesis]
106. kind(susan) [cnf transformation 19]
111. ~kind(susan) [cnf transformation 24]
132. 6 <=> kind(susan) [avatar definition]
268. 6 [avatar spl... | 0 |
If someone is either not funny or not generous then paul is both not patient and not tall and vice versa.
If someone is calm then fred is funny.
Everyone who is either funny or not happy is funny or not old and vice versa.
Everyone who is either not creative or not wise is not patient.
If someone is both calm and not h... | Paul is happy. | entailment | ((?[X]:((~funny(X)<~>~generous(X))))<=>((~patient(paul)&~tall(paul))))&
((?[X]:(calm(X)))=>(funny(fred)))&
(![X]:((funny(X)<~>~happy(X))<=>(funny(X)|~old(X))))&
(![X]:((~creative(X)<~>~wise(X))=>~patient(X)))&
((?[X]:((calm(X)&~humble(X))))<=>(?[X]:((quiet(X)<~>creative(X)))))&
((?[X]:((~creative(X)&~tall(X))))<=>(?[X]... | happy(paul) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6454320143325720890538667
% SZS output start Proof for 6454320143325720890538667
3. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~old(X0) | funny(X0))) [input p2]
21. funny(paul) | old(paul) [input p20]
22. ~happy(paul) [input hypothesis]
39. ! [X0] : ((((happy(X0) | ~funny(X0)) & (~happy(X0... | 0 |
If someone is either tall or not calm then someone is either strong or not humble. If john is rich or patient then john is kind or happy and vice versa. If someone is not tall then susan is curious and vice versa. Everyone who is either not humble or not quiet is either not generous or funny and vice versa. If someone ... | John is not curious. | contradiction | ((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((strong(X)<~>~humble(X)))))&
(((rich(john)|patient(john)))<=>((kind(john)|happy(john))))&
((?[X]:(~tall(X)))<=>(curious(susan)))&
(![X]:((~humble(X)<~>~quiet(X))<=>(~generous(X)<~>funny(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:(funny(X))))&
(((~wise(alice)<~>rich(alice)))=>((qu... | ~curious(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 624537402471891194979457
% SZS output start Proof for 624537402471891194979457
17. curious(john) & ~strong(john) [input p16]
24. ~curious(john) [input hypothesis]
129. curious(john) [cnf transformation 17]
141. ~curious(john) [cnf transformation 24]
362. $false [subsumption resolution 141... | 0 |
Everyone who is both not calm and not humble is either funny or not humble.
If someone is both not happy and tall then someone is not humble.
Everyone who is both calm and not quiet is strong.
Everyone who is curious or funny is either not old or not patient and vice versa.
Everyone who is either tall or not kind is no... | Fred is not kind. | contradiction | (![X]:((~calm(X)&~humble(X))=>(funny(X)<~>~humble(X))))&
((?[X]:((~happy(X)&tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((calm(X)&~quiet(X))=>strong(X)))&
(![X]:((curious(X)|funny(X))<=>(~old(X)<~>~patient(X))))&
(![X]:((tall(X)<~>~kind(X))<=>~generous(X)))&
((?[X]:((quiet(X)&~kind(X))))=>((humble(alice)|old(alice))))&
(![... | ~kind(fred) | [
"p6",
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 242543740524611776860132
% SZS output start Proof for 242543740524611776860132
7. ! [X0] : ((brave(X0) & ~old(X0)) <=> (~generous(X0) | ~happy(X0))) [input p6]
9. ! [X0] : (brave(X0) => (creative(X0) & generous(X0))) [input p8]
11. ! [X0] : ((~kind(X0) <~> ~generous(X0)) => (funny(X0) <~>... | 0 |
Everyone who is not creative or creative is not calm and vice versa. Everyone who is both patient and humble is creative and vice versa. If someone is not quiet then someone is either strong or not generous. Everyone who is quiet or not strong is both quiet and calm and vice versa. Everyone who is both not kind and hap... | Alice is strong. | entailment | (![X]:((~creative(X)|creative(X))<=>~calm(X)))&
(![X]:((patient(X)&humble(X))<=>creative(X)))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))<=>(quiet(X)&calm(X))))&
(![X]:((~kind(X)&happy(X))<=>~creative(X)))&
(![X]:((funny(X)&~curious(X))<=>wise(X)))&
(![X]:(~old(X)=>quiet(X))... | strong(alice) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 848808047439714065142197
% SZS output start Proof for 848808047439714065142197
1. ! [X0] : ((creative(X0) | ~creative(X0)) <=> ~calm(X0)) [input p0]
4. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (calm(X0) & quiet(X0))) [input p3]
23. ~strong(alice) [input hypothesis]
33. ! [X0] : (((creative... | 0 |
Everyone who is not creative is both not strong and creative.
If lucy is both patient and not strong then someone is not old or strong.
Everyone who is either not creative or not wise is not patient.
If someone is either quiet or curious then someone is both not brave and curious.
If lucy is not tall or not generous th... | Paul is not quiet. | entailment | (![X]:(~creative(X)=>(~strong(X)&creative(X))))&
(((patient(lucy)&~strong(lucy)))=>(?[X]:((~old(X)|strong(X)))))&
(![X]:((~creative(X)<~>~wise(X))=>~patient(X)))&
((?[X]:((quiet(X)<~>curious(X))))=>(?[X]:((~brave(X)&curious(X)))))&
(((~tall(lucy)|~generous(lucy)))<=>(funny(mary)))&
(((tall(mary)&old(mary)))<=>(?[X]:((~... | ~quiet(paul) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8778516750701472386547084
% SZS output start Proof for 8778516750701472386547084
7. ! [X0] : ((old(X0) & ~quiet(X0)) <=> (quiet(X0) <~> ~happy(X0))) [input p6]
24. ~curious(paul) & happy(paul) [input p23]
25. quiet(paul) [input hypothesis]
53. ! [X0] : (((old(X0) & ~quiet(X0)) | ((quiet(X... | 0 |
Everyone who is humble or brave is either brave or not funny and vice versa. If alice is brave or happy then someone is not generous and vice versa. If paul is either not patient or tall then susan is both not wise and brave and vice versa. If alice is either creative or not happy then lucy is creative or wise. If mary... | John is quiet. | neutral | (![X]:((humble(X)|brave(X))<=>(brave(X)<~>~funny(X))))&
(((brave(alice)|happy(alice)))<=>(?[X]:(~generous(X))))&
(((~patient(paul)<~>tall(paul)))<=>((~wise(susan)&brave(susan))))&
(((creative(alice)<~>~happy(alice)))=>((creative(lucy)|wise(lucy))))&
(((~happy(mary)&quiet(mary)))=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:... | quiet(john) | [] | null | 0 |
Everyone who is generous is either happy or tall. Everyone who is brave or old is either not curious or creative and vice versa. Everyone who is not funny or not wise is both not rich and not wise and vice versa. If someone is either not rich or not old then mary is both funny and not creative and vice versa. If john i... | Fred is old. | contradiction | (![X]:(generous(X)=>(happy(X)<~>tall(X))))&
(![X]:((brave(X)|old(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~funny(X)|~wise(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>((funny(mary)&~creative(mary))))&
(((~kind(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~generous(X)<=>(generous(X)... | old(fred) | [
"p5",
"p10",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5315304548538488194761394
% SZS output start Proof for 5315304548538488194761394
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p5]
11. ! [X0] : ((wise(X0) | ~generous(X0)) <=> (~patient(X0) | ~wise(X0))) [input p10]
12. ? [X0] : ~creative(X0) => ? [X0] : (patient(X0)... | 0 |
Everyone who is quiet or kind is both not quiet and tall.
If paul is not rich then mary is both brave and not curious and vice versa.
If someone is not funny then paul is kind or not tall and vice versa.
If fred is either not funny or patient then someone is both not creative and not kind.
If someone is either not humb... | Mary is generous. | contradiction | (![X]:((quiet(X)|kind(X))=>(~quiet(X)&tall(X))))&
((~rich(paul))<=>((brave(mary)&~curious(mary))))&
((?[X]:(~funny(X)))<=>((kind(paul)|~tall(paul))))&
(((~funny(fred)<~>patient(fred)))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(brave(mary)))&
(![X]:((~patient(X)&~wise(X))<=>(happy(X)|~q... | generous(mary) | [
"p0",
"p5",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7791940915869478789374395
% SZS output start Proof for 7791940915869478789374395
1. ! [X0] : ((kind(X0) | quiet(X0)) => (tall(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (~quiet(X0) | happy(X0))) [input p5]
9. ! [X0] : (kind(X0) <=> (~rich(X0) & wise(X0))) [i... | 0 |
Everyone who is not patient or tall is not calm and vice versa.
If john is old then mary is calm or brave.
If someone is brave or calm then someone is both not calm and not quiet.
Everyone who is generous is either not curious or not calm.
Everyone who is not old is creative.
Everyone who is both not curious and not ca... | Mary is calm. | entailment | (![X]:((~patient(X)|tall(X))<=>~calm(X)))&
((old(john))=>((calm(mary)|brave(mary))))&
((?[X]:((brave(X)|calm(X))))=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(generous(X)=>(~curious(X)<~>~calm(X))))&
(![X]:(~old(X)=>creative(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | calm(mary) | [
"p0",
"p8",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5906952347316359722715264
% SZS output start Proof for 5906952347316359722715264
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~calm(X0)) [input p0]
9. ! [X0] : (generous(X0) <=> (~happy(X0) | rich(X0))) [input p8]
12. ! [X0] : ((~creative(X0) <~> tall(X0)) <=> (calm(X0) <~> ~generous(X0))) ... | 0 |
Everyone who is both not rich and funny is either old or patient and vice versa.
Everyone who is humble is both wise and kind and vice versa.
If fred is either not patient or not generous then someone is not happy or kind.
Everyone who is not quiet or funny is both strong and not funny and vice versa.
Everyone who is e... | Alice is not kind. | entailment | (![X]:((~rich(X)&funny(X))<=>(old(X)<~>patient(X))))&
(![X]:(humble(X)<=>(wise(X)&kind(X))))&
(((~patient(fred)<~>~generous(fred)))=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:((~quiet(X)|funny(X))<=>(strong(X)&~funny(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~wise(X)&~curious(X))))&
((?[X]:(~tall(X)))<=>(~tall(alice)))&
(![X]:... | ~kind(alice) | [
"p3",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3702124920933437917444745
% SZS output start Proof for 3702124920933437917444745
4. ! [X0] : ((funny(X0) | ~quiet(X0)) <=> (~funny(X0) & strong(X0))) [input p3]
7. ! [X0] : ((creative(X0) | wise(X0)) <=> (~patient(X0) & ~creative(X0))) [input p6]
9. ! [X0] : ((patient(X0) | ~wise(X0)) <=>... | 0 |
Everyone who is happy is patient.
Everyone who is curious is both not patient and patient and vice versa.
Everyone who is both not old and old is not tall or not calm.
Everyone who is both not brave and not generous is either kind or humble and vice versa.
Everyone who is not generous or funny is both kind and not humb... | Fred is not wise. | neutral | (![X]:(happy(X)=>patient(X)))&
(![X]:(curious(X)<=>(~patient(X)&patient(X))))&
(![X]:((~old(X)&old(X))=>(~tall(X)|~calm(X))))&
(![X]:((~brave(X)&~generous(X))<=>(kind(X)<~>humble(X))))&
(![X]:((~generous(X)|funny(X))<=>(kind(X)&~humble(X))))&
(![X]:((old(X)&generous(X))=>old(X)))&
((?[X]:((humble(X)&funny(X))))=>(?[X]:... | ~wise(fred) | [] | null | 0 |
If lucy is either old or quiet then someone is not funny. Everyone who is both not rich and not tall is not strong or funny and vice versa. Everyone who is both humble and not kind is kind and vice versa. Everyone who is patient is creative or not generous. Everyone who is brave or old is either not brave or not rich a... | Alice is not brave. | contradiction | (((old(lucy)<~>quiet(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|... | ~brave(alice) | [
"p2",
"p4",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8926541698453024788609458
% SZS output start Proof for 8926541698453024788609458
3. ! [X0] : ((~kind(X0) & humble(X0)) <=> kind(X0)) [input p2]
5. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (~old(X0) & ~funny(X0))) [input p5]
8. !... | 0 |
If someone is quiet then fred is either creative or generous. Everyone who is not kind or not old is wise and vice versa. Everyone who is kind is funny or not rich. If paul is not funny or calm then paul is not generous or humble and vice versa. Everyone who is both happy and not curious is not happy or curious. Everyo... | Alice is curious. | entailment | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>wise(X)))&
(![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((pat... | curious(alice) | [
"p5",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2318174782612802907689590
% SZS output start Proof for 2318174782612802907689590
6. ! [X0] : (~curious(X0) => (~humble(X0) & ~generous(X0))) [input p5]
8. ! [X0] : (~creative(X0) => ~patient(X0)) [input p7]
9. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p8]
11. ! [X0] : ... | 0 |
If fred is both not happy and not rich then someone is tall or not funny. Everyone who is not old is not curious. If alice is either calm or quiet then susan is not funny or not strong. Everyone who is both not rich and quiet is both not funny and old and vice versa. Everyone who is quiet is either happy or not quiet a... | Susan is kind. | entailment | (((~happy(fred)&~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy))))... | kind(susan) | [
"p3",
"p4",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8876737301175620293520020
% SZS output start Proof for 8876737301175620293520020
4. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (old(X0) & ~funny(X0))) [input p3]
5. ! [X0] : (quiet(X0) <=> (happy(X0) <~> ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | brave(X0)) <=> (happy(X0) <~> ~tall(X0))... | 0 |
If john is not strong or rich then someone is humble.
Everyone who is both funny and happy is both curious and not quiet.
Everyone who is both not happy and not tall is not patient or generous.
If lucy is not curious then someone is not funny or humble.
If lucy is not curious or creative then paul is either rich or not... | Susan is rich. | neutral | (((~strong(john)|rich(john)))=>(?[X]:(humble(X))))&
(![X]:((funny(X)&happy(X))=>(curious(X)&~quiet(X))))&
(![X]:((~happy(X)&~tall(X))=>(~patient(X)|generous(X))))&
((~curious(lucy))=>(?[X]:((~funny(X)|humble(X)))))&
(((~curious(lucy)|creative(lucy)))=>((rich(paul)<~>~patient(paul))))&
(((calm(john)<~>tall(john)))<=>(?[... | rich(susan) | [] | null | 0 |
Everyone who is either not calm or patient is not calm or brave and vice versa. If someone is either not generous or not calm then someone is both curious and patient. If mary is both kind and wise then susan is not funny. If john is either wise or rich then john is both not wise and calm and vice versa. Everyone who i... | Paul is old. | contradiction | (![X]:((~calm(X)<~>patient(X))<=>(~calm(X)|brave(X))))&
((?[X]:((~generous(X)<~>~calm(X))))=>(?[X]:((curious(X)&patient(X)))))&
(((kind(mary)&wise(mary)))=>(~funny(susan)))&
(((wise(john)<~>rich(john)))<=>((~wise(john)&calm(john))))&
(![X]:(humble(X)=>(~curious(X)<~>~quiet(X))))&
((?[X]:((~kind(X)&quiet(X))))=>((happy(... | old(paul) | [
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5352573668966871633829905
% SZS output start Proof for 5352573668966871633829905
7. ? [X0] : (quiet(X0) | tall(X0)) => (~rich(paul) & ~brave(paul)) [input p6]
9. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (~curious(X0) | ~happy(X0))) [input p8]
14. ! [X0] : (curious(X0) <=> ~old(X0)) [input p1... | 0 |
Everyone who is not generous or kind is wise or not patient.
If susan is not strong then john is either humble or not patient and vice versa.
Everyone who is both not creative and calm is patient or curious and vice versa.
If alice is rich or not creative then someone is not patient and vice versa.
If someone is not pa... | John is humble. | entailment | (![X]:((~generous(X)|kind(X))=>(wise(X)|~patient(X))))&
((~strong(susan))<=>((humble(john)<~>~patient(john))))&
(![X]:((~creative(X)&calm(X))<=>(patient(X)|curious(X))))&
(((rich(alice)|~creative(alice)))<=>(?[X]:(~patient(X))))&
((?[X]:((~patient(X)|brave(X))))<=>((happy(john)&~patient(john))))&
((?[X]:((~calm(X)&~cre... | humble(john) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7734155020464509657375567
% SZS output start Proof for 7734155020464509657375567
2. ~strong(susan) <=> (humble(john) <~> ~patient(john)) [input p1]
3. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (curious(X0) | patient(X0))) [input p2]
4. (~creative(alice) | rich(alice)) <=> ? [X0] : ~patient... | 0 |
Everyone who is not brave is either tall or humble. Everyone who is either old or not rich is rich or strong. If someone is either rich or not quiet then someone is quiet or creative and vice versa. Everyone who is not rich is both tall and not quiet and vice versa. Everyone who is either not funny or not rich is both ... | Fred is creative. | contradiction | (![X]:(~brave(X)=>(tall(X)<~>humble(X))))&
(![X]:((old(X)<~>~rich(X))=>(rich(X)|strong(X))))&
((?[X]:((rich(X)<~>~quiet(X))))<=>(?[X]:((quiet(X)|creative(X)))))&
(![X]:(~rich(X)<=>(tall(X)&~quiet(X))))&
(![X]:((~funny(X)<~>~rich(X))<=>(~generous(X)&~quiet(X))))&
(![X]:((curious(X)|patient(X))<=>(tall(X)<~>~tall(X))))&
... | creative(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1871851733227924431273390
% SZS output start Proof for 1871851733227924431273390
9. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> ~happy(X0)) [input p8]
24. creative(fred) [input hypothesis]
51. ! [X0] : ((((creative(X0) | ~happy(X0)) & (~creative(X0) | happy(X0))) | happy(X0)) & (~happy(X0... | 0 |
If lucy is both creative and tall then alice is both funny and generous.
If fred is rich or not calm then mary is either kind or not kind and vice versa.
Everyone who is either not curious or not rich is either not wise or wise and vice versa.
If paul is either happy or not wise then someone is both happy and rich.
If ... | Paul is not wise. | contradiction | (((creative(lucy)&tall(lucy)))=>((funny(alice)&generous(alice))))&
(((rich(fred)|~calm(fred)))<=>((kind(mary)<~>~kind(mary))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~wise(X)<~>wise(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((happy(X)&rich(X)))))&
((?[X]:((patient(X)|old(X))))<=>((~quiet(mary)&funny(mary))))&
((?[X]:((... | ~wise(paul) | [
"p2",
"p4",
"p6",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3674048736632413098110795
% SZS output start Proof for 3674048736632413098110795
3. ! [X0] : ((~curious(X0) <~> ~rich(X0)) <=> (~wise(X0) <~> wise(X0))) [input p2]
5. ? [X0] : (old(X0) | patient(X0)) <=> (funny(mary) & ~quiet(mary)) [input p4]
7. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (fun... | 0 |
If someone is both quiet and not humble then mary is both not humble and quiet.
Everyone who is creative is not brave and vice versa.
If someone is not brave then mary is both not old and happy.
If someone is not patient or not strong then someone is happy and vice versa.
Everyone who is either not old or not creative ... | Lucy is calm. | neutral | ((?[X]:((quiet(X)&~humble(X))))=>((~humble(mary)&quiet(mary))))&
(![X]:(creative(X)<=>~brave(X)))&
((?[X]:(~brave(X)))=>((~old(mary)&happy(mary))))&
((?[X]:((~patient(X)|~strong(X))))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)<~>~creative(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:(humble(X)<=>(~strong(X)&curious(X))))&
(![X]:(... | calm(lucy) | [] | null | 0 |
If susan is either brave or old then someone is either not kind or calm.
Everyone who is either old or not wise is both not quiet and curious and vice versa.
If susan is either not tall or quiet then someone is both not kind and not quiet.
If mary is not patient then someone is either not generous or calm and vice vers... | Paul is not curious. | entailment | (((brave(susan)<~>old(susan)))=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:((old(X)<~>~wise(X))<=>(~quiet(X)&curious(X))))&
(((~tall(susan)<~>quiet(susan)))=>(?[X]:((~kind(X)&~quiet(X)))))&
((~patient(mary))<=>(?[X]:((~generous(X)<~>calm(X)))))&
(![X]:(~rich(X)<=>(curious(X)|~humble(X))))&
((?[X]:((~patient(X)&~kind(X))))<=... | ~curious(paul) | [
"p8",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9071977408777298482140046
% SZS output start Proof for 9071977408777298482140046
9. ! [X0] : (generous(X0) <=> (calm(X0) & ~quiet(X0))) [input p8]
15. ! [X0] : ((generous(X0) & strong(X0)) => (~calm(X0) & generous(X0))) [input p14]
16. ! [X0] : ((~generous(X0) & ~humble(X0)) <=> (~curious... | 0 |
If someone is not strong or curious then someone is curious or not funny and vice versa.
Everyone who is creative or brave is both not funny and not strong.
Everyone who is both patient and not brave is not happy and vice versa.
Everyone who is not quiet or not patient is not funny or not wise and vice versa.
If alice ... | Lucy is happy. | entailment | ((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((curious(X)|~funny(X)))))&
(![X]:((creative(X)|brave(X))=>(~funny(X)&~strong(X))))&
(![X]:((patient(X)&~brave(X))<=>~happy(X)))&
(![X]:((~quiet(X)|~patient(X))<=>(~funny(X)|~wise(X))))&
(((calm(alice)|~rich(alice)))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((humble(X)&rich... | happy(lucy) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7025641528070068500592324
% SZS output start Proof for 7025641528070068500592324
2. ! [X0] : ((brave(X0) | creative(X0)) => (~strong(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & patient(X0)) <=> ~happy(X0)) [input p2]
8. ! [X0] : (~happy(X0) <=> (~brave(X0) <~> ~funny(X0))) [i... | 0 |
Everyone who is not generous is not humble or not calm and vice versa.
Everyone who is either not calm or not strong is not funny.
If fred is not brave or not curious then someone is both curious and not generous and vice versa.
Everyone who is both not happy and not curious is old or not wise.
Everyone who is curious ... | Susan is creative. | contradiction | (![X]:(~generous(X)<=>(~humble(X)|~calm(X))))&
(![X]:((~calm(X)<~>~strong(X))=>~funny(X)))&
(((~brave(fred)|~curious(fred)))<=>(?[X]:((curious(X)&~generous(X)))))&
(![X]:((~happy(X)&~curious(X))=>(old(X)|~wise(X))))&
(![X]:((curious(X)|tall(X))<=>~rich(X)))&
((?[X]:((quiet(X)|~generous(X))))=>((~generous(fred)&strong(f... | creative(susan) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4692677040464559674683511
% SZS output start Proof for 4692677040464559674683511
8. ? [X0] : creative(X0) <=> strong(john) [input p7]
11. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~strong(X0)) [input p10]
22. creative(susan) [input hypothesis]
29. ! [X0] : (~strong(X0) | (~tall(X0) <=> tall(X... | 0 |
If mary is both not tall and not funny then paul is either not curious or happy and vice versa.
If mary is both creative and strong then mary is both not old and not calm.
If john is both not curious and strong then mary is either tall or rich and vice versa.
Everyone who is both kind and generous is either patient or ... | Lucy is calm. | neutral | (((~tall(mary)&~funny(mary)))<=>((~curious(paul)<~>happy(paul))))&
(((creative(mary)&strong(mary)))=>((~old(mary)&~calm(mary))))&
(((~curious(john)&strong(john)))<=>((tall(mary)<~>rich(mary))))&
(![X]:((kind(X)&generous(X))=>(patient(X)<~>~brave(X))))&
((~funny(lucy))<=>(humble(paul)))&
(![X]:((~funny(X)&~wise(X))<=>~k... | calm(lucy) | [] | null | 0 |
If someone is both quiet and not humble then susan is strong and vice versa. If someone is tall then lucy is not brave and vice versa. Everyone who is either not wise or not brave is patient or curious and vice versa. Everyone who is not wise or not humble is not tall or kind and vice versa. Everyone who is not old or ... | Paul is tall. | contradiction | ((?[X]:((quiet(X)&~humble(X))))<=>(strong(susan)))&
((?[X]:(tall(X)))<=>(~brave(lucy)))&
(![X]:((~wise(X)<~>~brave(X))<=>(patient(X)|curious(X))))&
(![X]:((~wise(X)|~humble(X))<=>(~tall(X)|kind(X))))&
(![X]:((~old(X)|rich(X))=>patient(X)))&
(![X]:(~curious(X)<=>~quiet(X)))&
((?[X]:((~humble(X)<~>happy(X))))<=>(happy(ma... | tall(paul) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7344795674739559208913293
% SZS output start Proof for 7344795674739559208913293
3. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> (curious(X0) | patient(X0))) [input p2]
5. ! [X0] : ((rich(X0) | ~old(X0)) => patient(X0)) [input p4]
6. ! [X0] : (~curious(X0) <=> ~quiet(X0)) [input p5]
8. ! [X0]... | 0 |
Everyone who is not old is both tall and not generous.
If someone is either brave or not wise then someone is not creative or not brave.
If susan is either creative or rich then mary is both humble and not happy and vice versa.
Everyone who is either not happy or not creative is not brave or generous and vice versa.
Ev... | Fred is not rich. | contradiction | (![X]:(~old(X)=>(tall(X)&~generous(X))))&
((?[X]:((brave(X)<~>~wise(X))))=>(?[X]:((~creative(X)|~brave(X)))))&
(((creative(susan)<~>rich(susan)))<=>((humble(mary)&~happy(mary))))&
(![X]:((~happy(X)<~>~creative(X))<=>(~brave(X)|generous(X))))&
(![X]:((creative(X)<~>tall(X))=>wise(X)))&
(![X]:((humble(X)&old(X))=>(old(X)... | ~rich(fred) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5112658397784854618686261
% SZS output start Proof for 5112658397784854618686261
16. ! [X0] : ((generous(X0) | ~rich(X0)) <=> (~old(X0) & strong(X0))) [input p15]
17. ~strong(fred) [input p16]
25. ~rich(fred) [input hypothesis]
64. ! [X0] : (((generous(X0) | ~rich(X0)) | (old(X0) | ~stron... | 0 |
Everyone who is both brave and kind is calm and vice versa.
If fred is not tall then someone is either wise or not wise and vice versa.
If lucy is not tall or rich then paul is both not funny and not humble and vice versa.
Everyone who is both wise and not rich is not humble and vice versa.
If someone is brave then luc... | Paul is not humble. | neutral | (![X]:((brave(X)&kind(X))<=>calm(X)))&
((~tall(fred))<=>(?[X]:((wise(X)<~>~wise(X)))))&
(((~tall(lucy)|rich(lucy)))<=>((~funny(paul)&~humble(paul))))&
(![X]:((wise(X)&~rich(X))<=>~humble(X)))&
((?[X]:(brave(X)))<=>((humble(lucy)<~>~funny(lucy))))&
((?[X]:((calm(X)<~>humble(X))))<=>((~old(alice)<~>old(alice))))&
(![X]:(... | ~humble(paul) | [] | null | 0 |
Everyone who is not old is old.
Everyone who is both tall and not generous is both calm and not kind and vice versa.
If fred is both humble and brave then susan is both old and not strong.
If someone is either not calm or not creative then susan is wise.
If john is not old then someone is either not happy or not patien... | Paul is not brave. | contradiction | (![X]:(~old(X)=>old(X)))&
(![X]:((tall(X)&~generous(X))<=>(calm(X)&~kind(X))))&
(((humble(fred)&brave(fred)))=>((old(susan)&~strong(susan))))&
((?[X]:((~calm(X)<~>~creative(X))))=>(wise(susan)))&
((~old(john))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
(![X]:((patient(X)|kind(X))=>(curious(X)&strong(X))))&
(![X]:(funny(X)<... | ~brave(paul) | [
"p0",
"p1",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4077707065508838843998206
% SZS output start Proof for 4077707065508838843998206
1. ! [X0] : (~old(X0) => old(X0)) [input p0]
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
6. ! [X0] : ((kind(X0) | patient(X0)) => (strong(X0) & curious(X0))) [input p5]
13. ... | 0 |
Everyone who is not generous or not creative is both funny and not strong.
Everyone who is both not brave and funny is both strong and not kind.
Everyone who is not strong or not patient is both not creative and kind and vice versa.
If someone is not curious then someone is humble and vice versa.
If paul is either kind... | John is patient. | entailment | (![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X)&funny(X))=>(strong(X)&~kind(X))))&
(![X]:((~strong(X)|~patient(X))<=>(~creative(X)&kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(humble(X))))&
(((kind(paul)<~>rich(paul)))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>~creative(X))<=>(funny(X)|ca... | patient(john) | [
"p2",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5368026731302559805120871
% SZS output start Proof for 5368026731302559805120871
3. ! [X0] : ((~patient(X0) | ~strong(X0)) <=> (kind(X0) & ~creative(X0))) [input p2]
11. ! [X0] : (calm(X0) <=> (patient(X0) | ~kind(X0))) [input p10]
20. calm(john) & ~rich(john) [input p19]
25. ~patient(joh... | 0 |
If someone is curious then someone is kind or not brave.
Everyone who is either not rich or not wise is either happy or not happy and vice versa.
If paul is both not old and not generous then paul is patient or not curious.
If john is both not kind and curious then someone is generous or not quiet and vice versa.
Every... | Susan is wise. | entailment | ((?[X]:(curious(X)))=>(?[X]:((kind(X)|~brave(X)))))&
(![X]:((~rich(X)<~>~wise(X))<=>(happy(X)<~>~happy(X))))&
(((~old(paul)&~generous(paul)))=>((patient(paul)|~curious(paul))))&
(((~kind(john)&curious(john)))<=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~s... | wise(susan) | [
"p3",
"p9",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4592271388784561102489835
% SZS output start Proof for 4592271388784561102489835
4. (curious(john) & ~kind(john)) <=> ? [X0] : (~quiet(X0) | generous(X0)) [input p3]
10. ! [X0] : (curious(X0) => (strong(X0) & kind(X0))) [input p9]
13. ! [X0] : ((~kind(X0) | kind(X0)) => (~strong(X0) & ~ha... | 0 |
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who is funny or not kind is either not strong or curious.
If someone is not rich then lucy is quiet and vice versa.
Everyone who is not happy is both strong and tall.
If mary is both not happy and not kind then fred is both not brave and c... | Lucy is rich. | contradiction | (![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=>(quiet(lucy)))&
(![X]:(~happy(X)=>(strong(X)&tall(X))))&
(((~happy(mary)&~kind(mary)))=>((~brave(fred)&calm(fred))))&
(![X]:((~curious(X)&~tall(X))<=>tall(X)))&
(![X]:(~strong(X)=>happy(X))... | rich(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6904008008930178470518657
% SZS output start Proof for 6904008008930178470518657
12. ! [X0] : (~rich(X0) <=> (~brave(X0) | rich(X0))) [input p11]
25. rich(lucy) [input hypothesis]
61. ! [X0] : ((~rich(X0) | (brave(X0) & ~rich(X0))) & ((~brave(X0) | rich(X0)) | rich(X0))) [nnf transformati... | 0 |
If alice is not kind then someone is both not humble and quiet and vice versa.
Everyone who is not rich or patient is both not generous and not happy.
If someone is either not patient or not happy then paul is either old or not generous.
Everyone who is both not wise and strong is rich or curious and vice versa.
Everyo... | Mary is creative. | entailment | ((~kind(alice))<=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~rich(X)|patient(X))=>(~generous(X)&~happy(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>((old(paul)<~>~generous(paul))))&
(![X]:((~wise(X)&strong(X))<=>(rich(X)|curious(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(((~patient(john)<~>~curious(john)))<=>(?[X]:(brave(X))... | creative(mary) | [
"p3",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 742463553350326675088203
% SZS output start Proof for 742463553350326675088203
4. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (curious(X0) | rich(X0))) [input p3]
8. ? [X0] : (rich(X0) & funny(X0)) <=> ? [X0] : ~creative(X0) [input p7]
9. ! [X0] : ((curious(X0) <~> rich(X0)) => (wise(X0) & str... | 0 |
Everyone who is either generous or not rich is both quiet and not tall. If someone is humble or not funny then alice is not humble or patient and vice versa. Everyone who is both not funny and not curious is not tall and vice versa. Everyone who is not curious is both generous and not kind and vice versa. Everyone who ... | Mary is not quiet. | neutral | (![X]:((generous(X)<~>~rich(X))=>(quiet(X)&~tall(X))))&
((?[X]:((humble(X)|~funny(X))))<=>((~humble(alice)|patient(alice))))&
(![X]:((~funny(X)&~curious(X))<=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[X]... | ~quiet(mary) | [] | null | 0 |
If someone is both not happy and patient then someone is both wise and not brave and vice versa. Everyone who is either not funny or not strong is either strong or humble. Everyone who is either old or humble is brave and vice versa. Everyone who is not kind or tall is both funny and rich and vice versa. Everyone who i... | John is curious. | contradiction | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~funny(X)<~>~strong(X))=>(strong(X)<~>humble(X))))&
(![X]:((old(X)<~>humble(X))<=>brave(X)))&
(![X]:((~kind(X)|tall(X))<=>(funny(X)&rich(X))))&
(![X]:((old(X)|patient(X))=>happy(X)))&
(![X]:((strong(X)|funny(X))=>(~kind(X)<~>~curious(X))))&
(((~w... | curious(john) | [
"p5",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2435526084798218060671238
% SZS output start Proof for 2435526084798218060671238
6. ! [X0] : ((funny(X0) | strong(X0)) => (~kind(X0) <~> ~curious(X0))) [input p5]
7. (generous(john) & ~wise(john)) => (~curious(john) & wise(john)) [input p6]
8. ! [X0] : (funny(X0) <=> (creative(X0) | ~quie... | 0 |
If someone is not creative or not wise then someone is either not rich or not old. If someone is not rich or funny then mary is not brave or old. If someone is either not quiet or not old then someone is not kind. If someone is not creative then paul is either calm or not funny. Everyone who is not generous or rich is ... | Mary is calm. | contradiction | ((?[X]:((~creative(X)|~wise(X))))=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:((~rich(X)|funny(X))))=>((~brave(mary)|old(mary))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~kind(X))))&
((?[X]:(~creative(X)))=>((calm(paul)<~>~funny(paul))))&
(![X]:((~generous(X)|rich(X))<=>(happy(X)&generous(X))))&
(((brave(mary)<~>calm(mary... | calm(mary) | [
"p4",
"p5",
"p6",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 742596628784770622759849
% SZS output start Proof for 742596628784770622759849
5. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (generous(X0) & happy(X0))) [input p4]
6. (brave(mary) <~> calm(mary)) <=> ? [X0] : (patient(X0) | ~quiet(X0)) [input p5]
7. ! [X0] : (curious(X0) => (~brave(X0) <~> ... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa. Everyone who is rich or strong is calm or not brave and vice versa. If alice is either not tall or generous then paul is both not strong and funny. Everyone who is either brave or not brave is both not strong and generous. Everyon... | Paul is curious. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(calm(X)|~brave(X))))&
(((~tall(alice)<~>generous(alice)))=>((~strong(paul)&funny(paul))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>genero... | curious(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5796995689704985728669346
% SZS output start Proof for 5796995689704985728669346
5. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (curious(X0) | ~happy(X0))) [input p4]
24. curious(paul) [input hypothesis]
39. ! [X0] : (((~curious(X0) & ~old(X0)) | (~curious(X0) & happy(X0))) & ((curious(X0) | ... | 0 |
If someone is both not brave and calm then fred is both brave and not rich.
Everyone who is either kind or not creative is tall or funny and vice versa.
If paul is both not wise and old then susan is both strong and not funny and vice versa.
Everyone who is old is generous or patient.
If someone is not humble or not pa... | John is funny. | contradiction | ((?[X]:((~brave(X)&calm(X))))=>((brave(fred)&~rich(fred))))&
(![X]:((kind(X)<~>~creative(X))<=>(tall(X)|funny(X))))&
(((~wise(paul)&old(paul)))<=>((strong(susan)&~funny(susan))))&
(![X]:(old(X)=>(generous(X)|patient(X))))&
((?[X]:((~humble(X)|~patient(X))))=>(~creative(susan)))&
(((~funny(susan)<~>~calm(susan)))<=>((ta... | funny(john) | [
"p1",
"p4",
"p8",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6689423717750477381615910
% SZS output start Proof for 6689423717750477381615910
2. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (funny(X0) | tall(X0))) [input p1]
5. ? [X0] : (~patient(X0) | ~humble(X0)) => ~creative(susan) [input p4]
9. ! [X0] : (quiet(X0) => ~curious(X0)) [input p8]
12. ... | 0 |
Everyone who is either rich or not funny is either not creative or not brave. If someone is generous then someone is both calm and not kind. If john is not old then lucy is not creative or creative and vice versa. Everyone who is funny is both not humble and not generous. Everyone who is either tall or not generous is ... | Lucy is strong. | neutral | (![X]:((rich(X)<~>~funny(X))=>(~creative(X)<~>~brave(X))))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)&~kind(X)))))&
((~old(john))<=>((~creative(lucy)|creative(lucy))))&
(![X]:(funny(X)=>(~humble(X)&~generous(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~kind(X)|creative(X))))&
(((~kind(john)&tall(john)))<=>((~humble(john)|cur... | strong(lucy) | [] | null | 0 |
Everyone who is both old and wise is both patient and kind. Everyone who is both not wise and not happy is wise and vice versa. Everyone who is old or not tall is either quiet or patient. Everyone who is not rich or not happy is curious and vice versa. Everyone who is not strong is not tall or strong. Everyone who is n... | Lucy is happy. | entailment | (![X]:((old(X)&wise(X))=>(patient(X)&kind(X))))&
(![X]:((~wise(X)&~happy(X))<=>wise(X)))&
(![X]:((old(X)|~tall(X))=>(quiet(X)<~>patient(X))))&
(![X]:((~rich(X)|~happy(X))<=>curious(X)))&
(![X]:(~strong(X)=>(~tall(X)|strong(X))))&
(![X]:((~curious(X)|happy(X))=>(~humble(X)|old(X))))&
(![X]:(~tall(X)<=>(~rich(X)&kind(X))... | happy(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6395190714908321376932096
% SZS output start Proof for 6395190714908321376932096
2. ! [X0] : ((~happy(X0) & ~wise(X0)) <=> wise(X0)) [input p1]
22. ~happy(lucy) [input hypothesis]
36. ! [X0] : (((~happy(X0) & ~wise(X0)) | ~wise(X0)) & (wise(X0) | (happy(X0) | wise(X0)))) [nnf transformati... | 0 |
If john is both brave and creative then someone is both calm and strong and vice versa.
Everyone who is either calm or not tall is not rich.
Everyone who is both quiet and not happy is either not wise or not calm.
Everyone who is wise is either happy or wise and vice versa.
If susan is not creative or quiet then alice ... | Fred is not happy. | entailment | (((brave(john)&creative(john)))<=>(?[X]:((calm(X)&strong(X)))))&
(![X]:((calm(X)<~>~tall(X))=>~rich(X)))&
(![X]:((quiet(X)&~happy(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(wise(X)<=>(happy(X)<~>wise(X))))&
(((~creative(susan)|quiet(susan)))<=>((~quiet(alice)&generous(alice))))&
((?[X]:((humble(X)&~funny(X))))=>((~creative(f... | ~happy(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 9193181228799811624780900
% SZS output start Proof for 9193181228799811624780900
4. ! [X0] : (wise(X0) <=> (happy(X0) <~> wise(X0))) [input p3]
25. happy(fred) [input hypothesis]
48. ! [X0] : ((wise(X0) | ((happy(X0) | ~wise(X0)) & (wise(X0) | ~happy(X0)))) & (((~wise(X0) | ~happy(X0)) & ... | 0 |
Everyone who is either old or not curious is not old or calm and vice versa.
Everyone who is either not humble or brave is not curious and vice versa.
If mary is either rich or not brave then someone is either quiet or not rich and vice versa.
Everyone who is either curious or funny is calm.
If someone is either curiou... | Lucy is wise. | neutral | (![X]:((old(X)<~>~curious(X))<=>(~old(X)|calm(X))))&
(![X]:((~humble(X)<~>brave(X))<=>~curious(X)))&
(((rich(mary)<~>~brave(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(![X]:((curious(X)<~>funny(X))=>calm(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>(calm(john)))&
((~strong(alice))<=>((~creative(alice)|creative(alice))))&
... | wise(lucy) | [] | null | 0 |
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