premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not kind or creative then someone is either not patient or old.
Everyone who is brave is not tall or generous and vice versa.
Everyone who is generous or calm is either happy or tall.
If someone is either not curious or rich then paul is creative or not curious and vice versa.
Everyone who is eithe... | Susan is creative. | contradiction | ((?[X]:((~kind(X)<~>creative(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:((creative(X)<~>old(X))=>(~patient(X)|quiet(X))))&
(((curious(susan)|~gene... | creative(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p10",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2273294019657549344845076
% SZS output start Proof for 2273294019657549344845076
2. ! [X0] : (brave(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
3. ! [X0] : ((calm(X0) | generous(X0)) => (happy(X0) <~> tall(X0))) [input p2]
6. (~generous(susan) | curious(susan)) <=> (tall(fred) & ~patie... | 0 |
If someone is calm or not creative then lucy is either rich or not calm and vice versa.
Everyone who is creative is either strong or not patient.
If fred is both not strong and strong then lucy is curious and vice versa.
Everyone who is either not rich or funny is wise and vice versa.
If john is either not patient or n... | Paul is not strong. | neutral | ((?[X]:((calm(X)|~creative(X))))<=>((rich(lucy)<~>~calm(lucy))))&
(![X]:(creative(X)=>(strong(X)<~>~patient(X))))&
(((~strong(fred)&strong(fred)))<=>(curious(lucy)))&
(![X]:((~rich(X)<~>funny(X))<=>wise(X)))&
(((~patient(john)<~>~rich(john)))=>(strong(mary)))&
(((patient(alice)&~patient(alice)))<=>((~humble(susan)<~>~b... | ~strong(paul) | [] | null | 0 |
Everyone who is quiet or not funny is either patient or not funny and vice versa.
If someone is old or not curious then alice is both not generous and not wise.
If mary is generous then someone is not rich.
Everyone who is not generous or not creative is either not humble or brave and vice versa.
Everyone who is not ha... | Fred is brave. | entailment | (![X]:((quiet(X)|~funny(X))<=>(patient(X)<~>~funny(X))))&
((?[X]:((old(X)|~curious(X))))=>((~generous(alice)&~wise(alice))))&
((generous(mary))=>(?[X]:(~rich(X))))&
(![X]:((~generous(X)|~creative(X))<=>(~humble(X)<~>brave(X))))&
(![X]:(~happy(X)=>calm(X)))&
(![X]:((~creative(X)|~brave(X))<=>(~tall(X)<~>~strong(X))))&
(... | brave(fred) | [
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3598561705525065626906015
% SZS output start Proof for 3598561705525065626906015
8. ! [X0] : ((~happy(X0) | ~creative(X0)) => (brave(X0) & ~patient(X0))) [input p7]
9. ! [X0] : ((~brave(X0) | old(X0)) <=> (brave(X0) | ~rich(X0))) [input p8]
13. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (~cre... | 0 |
If someone is not rich or happy then john is both not old and patient and vice versa. Everyone who is both humble and not happy is either not creative or brave and vice versa. Everyone who is both brave and tall is either not strong or kind. Everyone who is both curious and brave is not patient and vice versa. If someo... | Mary is happy. | entailment | ((?[X]:((~rich(X)|happy(X))))<=>((~old(john)&patient(john))))&
(![X]:((humble(X)&~happy(X))<=>(~creative(X)<~>brave(X))))&
(![X]:((brave(X)&tall(X))=>(~strong(X)<~>kind(X))))&
(![X]:((curious(X)&brave(X))<=>~patient(X)))&
((?[X]:((calm(X)&~old(X))))=>((rich(john)|~brave(john))))&
(![X]:((curious(X)<~>brave(X))<=>~happy... | happy(mary) | [
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3977581908645357570890305
% SZS output start Proof for 3977581908645357570890305
4. ! [X0] : ((brave(X0) & curious(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : ((curious(X0) <~> brave(X0)) <=> ~happy(X0)) [input p5]
20. ~patient(mary) & rich(mary) [input p19]
24. ~happy(mary) [input hypo... | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is not calm is both not calm and kind and vice versa.
If someone is curious or not happy then fred is calm or not generous.
If someone is both not happy and not old then someone is both not creative and not humble.
Everyone who is not ki... | Fred is not brave. | neutral | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>(~calm(X)&kind(X))))&
((?[X]:((curious(X)|~happy(X))))=>((calm(fred)|~generous(fred))))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~kind(X)|~calm(X))<=>(~patient(X)&wise(X))))&
(![X]:((~humble(X)|funny(X))<=>(creat... | ~brave(fred) | [] | null | 0 |
Everyone who is both humble and curious is humble and vice versa.
Everyone who is both not tall and humble is not rich or not generous and vice versa.
If mary is both happy and not old then someone is not humble.
If someone is happy then susan is both not curious and not generous.
Everyone who is generous or not brave ... | Lucy is not wise. | entailment | (![X]:((humble(X)&curious(X))<=>humble(X)))&
(![X]:((~tall(X)&humble(X))<=>(~rich(X)|~generous(X))))&
(((happy(mary)&~old(mary)))=>(?[X]:(~humble(X))))&
((?[X]:(happy(X)))=>((~curious(susan)&~generous(susan))))&
(![X]:((generous(X)|~brave(X))=>(~wise(X)<~>tall(X))))&
((~patient(john))=>(?[X]:((rich(X)<~>kind(X)))))&
(!... | ~wise(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8566115721734205734467370
% SZS output start Proof for 8566115721734205734467370
1. ! [X0] : ((curious(X0) & humble(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (~generous(X0) | ~rich(X0))) [input p1]
4. ? [X0] : happy(X0) => (~generous(susan) & ~curious(susan... | 0 |
Everyone who is both funny and generous is humble and vice versa.
Everyone who is either wise or not humble is both not tall and not patient.
If alice is either not creative or not patient then someone is both not happy and not creative.
If someone is tall then someone is either rich or funny and vice versa.
Everyone w... | Alice is old. | contradiction | (![X]:((funny(X)&generous(X))<=>humble(X)))&
(![X]:((wise(X)<~>~humble(X))=>(~tall(X)&~patient(X))))&
(((~creative(alice)<~>~patient(alice)))=>(?[X]:((~happy(X)&~creative(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((quiet(X)&~creative(X))=>(~humble(X)|~funny(X))))&
(((~tall(paul)<~>~wise(paul)))=... | old(alice) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2890332986525449692966736
% SZS output start Proof for 2890332986525449692966736
7. ? [X0] : old(X0) => kind(mary) [input p6]
14. ! [X0] : ((~brave(X0) & brave(X0)) <=> kind(X0)) [input p13]
25. old(alice) [input hypothesis]
33. kind(mary) | ! [X0] : ~old(X0) [ennf transformation 7]
60. !... | 0 |
Everyone who is either not tall or rich is both curious and not quiet and vice versa. Everyone who is happy or patient is humble or not kind and vice versa. Everyone who is both not generous and creative is generous and vice versa. Everyone who is not tall is not curious. Everyone who is not calm or not happy is strong... | Fred is not rich. | contradiction | (![X]:((~tall(X)<~>rich(X))<=>(curious(X)&~quiet(X))))&
(![X]:((happy(X)|patient(X))<=>(humble(X)|~kind(X))))&
(![X]:((~generous(X)&creative(X))<=>generous(X)))&
(![X]:(~tall(X)=>~curious(X)))&
(![X]:((~calm(X)|~happy(X))<=>(strong(X)|patient(X))))&
(![X]:((~tall(X)|happy(X))=>(rich(X)<~>kind(X))))&
((?[X]:(humble(X)))... | ~rich(fred) | [
"p1",
"p5",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8594350729401276925565935
% SZS output start Proof for 8594350729401276925565935
2. ! [X0] : ((patient(X0) | happy(X0)) <=> (~kind(X0) | humble(X0))) [input p1]
6. ! [X0] : ((happy(X0) | ~tall(X0)) => (rich(X0) <~> kind(X0))) [input p5]
8. ! [X0] : (~wise(X0) => (~patient(X0) & ~curious(X... | 0 |
Everyone who is not generous or not calm is both not old and humble. Everyone who is both tall and brave is humble and vice versa. Everyone who is either not happy or funny is both rich and patient and vice versa. If lucy is not calm or wise then lucy is either not quiet or strong. Everyone who is wise is old and vice ... | Alice is not patient. | contradiction | (![X]:((~generous(X)|~calm(X))=>(~old(X)&humble(X))))&
(![X]:((tall(X)&brave(X))<=>humble(X)))&
(![X]:((~happy(X)<~>funny(X))<=>(rich(X)&patient(X))))&
(((~calm(lucy)|wise(lucy)))=>((~quiet(lucy)<~>strong(lucy))))&
(![X]:(wise(X)<=>old(X)))&
(![X]:((rich(X)<~>kind(X))<=>(~generous(X)<~>old(X))))&
(![X]:((kind(X)<~>~tal... | ~patient(alice) | [
"p0",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3860571717194804627503603
% SZS output start Proof for 3860571717194804627503603
1. ! [X0] : ((~calm(X0) | ~generous(X0)) => (humble(X0) & ~old(X0))) [input p0]
9. ~generous(alice) <=> ~rich(alice) [input p8]
13. ! [X0] : ((~calm(X0) & patient(X0)) <=> rich(X0)) [input p12]
15. ! [X0] : (... | 0 |
If mary is both not old and funny then paul is both brave and generous and vice versa. Everyone who is creative or rich is creative and vice versa. If someone is either tall or humble then someone is both not strong and strong. If someone is rich or not brave then someone is not rich or not wise and vice versa. If some... | Mary is humble. | contradiction | (((~old(mary)&funny(mary)))<=>((brave(paul)&generous(paul))))&
(![X]:((creative(X)|rich(X))<=>creative(X)))&
((?[X]:((tall(X)<~>humble(X))))=>(?[X]:((~strong(X)&strong(X)))))&
((?[X]:((rich(X)|~brave(X))))<=>(?[X]:((~rich(X)|~wise(X)))))&
((?[X]:((strong(X)|calm(X))))<=>((~humble(mary)&happy(mary))))&
(![X]:((~curious(... | humble(mary) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1640338163713200930605135
% SZS output start Proof for 1640338163713200930605135
5. ? [X0] : (calm(X0) | strong(X0)) <=> (happy(mary) & ~humble(mary)) [input p4]
18. ? [X0] : (calm(X0) & wise(X0)) [input p17]
24. humble(mary) [input hypothesis]
51. (? [X0] : (calm(X0) | strong(X0)) | (~ha... | 0 |
If someone is humble or not patient then someone is both humble and not rich. If lucy is either not humble or calm then someone is not strong and vice versa. Everyone who is not old or not happy is not wise. Everyone who is generous or quiet is either not humble or not rich and vice versa. If john is calm then someone ... | Paul is creative. | contradiction | ((?[X]:((humble(X)|~patient(X))))=>(?[X]:((humble(X)&~rich(X)))))&
(((~humble(lucy)<~>calm(lucy)))<=>(?[X]:(~strong(X))))&
(![X]:((~old(X)|~happy(X))=>~wise(X)))&
(![X]:((generous(X)|quiet(X))<=>(~humble(X)<~>~rich(X))))&
((calm(john))<=>(?[X]:((~quiet(X)&~calm(X)))))&
(((~happy(mary)&~creative(mary)))<=>(?[X]:((curiou... | creative(paul) | [
"p4",
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1525805597522486511473084
% SZS output start Proof for 1525805597522486511473084
5. calm(john) <=> ? [X0] : (~calm(X0) & ~quiet(X0)) [input p4]
6. (~creative(mary) & ~happy(mary)) <=> ? [X0] : (calm(X0) | curious(X0)) [input p5]
11. ! [X0] : ((~happy(X0) | kind(X0)) => (funny(X0) & ~funny... | 0 |
Everyone who is wise or not quiet is not funny and vice versa. Everyone who is either not kind or rich is old or patient. If someone is not funny then mary is either not tall or humble. Everyone who is brave or not calm is not rich. If someone is both kind and not tall then someone is either kind or tall and vice versa... | Fred is not funny. | contradiction | (![X]:((wise(X)|~quiet(X))<=>~funny(X)))&
(![X]:((~kind(X)<~>rich(X))=>(old(X)|patient(X))))&
((?[X]:(~funny(X)))=>((~tall(mary)<~>humble(mary))))&
(![X]:((brave(X)|~calm(X))=>~rich(X)))&
((?[X]:((kind(X)&~tall(X))))<=>(?[X]:((kind(X)<~>tall(X)))))&
(((humble(lucy)&~old(lucy)))<=>(brave(john)))&
((tall(alice))=>(?[X]:(... | ~funny(fred) | [
"p2",
"p3",
"p4",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4470809108922493532409388
% SZS output start Proof for 4470809108922493532409388
3. ? [X0] : ~funny(X0) => (~tall(mary) <~> humble(mary)) [input p2]
4. ! [X0] : ((~calm(X0) | brave(X0)) => ~rich(X0)) [input p3]
5. ? [X0] : (~tall(X0) & kind(X0)) <=> ? [X0] : (kind(X0) <~> tall(X0)) [input... | 0 |
If someone is both kind and not generous then fred is not wise or not brave.
Everyone who is either happy or creative is both creative and not old and vice versa.
If someone is not creative or not calm then someone is both rich and funny and vice versa.
Everyone who is tall or brave is not quiet and vice versa.
Everyon... | Fred is not strong. | contradiction | ((?[X]:((kind(X)&~generous(X))))=>((~wise(fred)|~brave(fred))))&
(![X]:((happy(X)<~>creative(X))<=>(creative(X)&~old(X))))&
((?[X]:((~creative(X)|~calm(X))))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((tall(X)|brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>humble(X))<=>(kind(X)|~old(X))))&
(![X]:((~curious(X)&~generous(X))<=>... | ~strong(fred) | [
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6351242302189068859114418
% SZS output start Proof for 6351242302189068859114418
2. ! [X0] : ((happy(X0) <~> creative(X0)) <=> (~old(X0) & creative(X0))) [input p1]
5. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (~old(X0) | kind(X0))) [input p4]
6. ! [X0] : ((~generous(X0) & ~curious(X0)) <=... | 0 |
Everyone who is not strong is either patient or not wise and vice versa. Everyone who is patient or tall is rich. If susan is old then alice is tall or not humble and vice versa. If someone is either strong or not happy then someone is both not strong and not old. Everyone who is tall is not humble and vice versa. If j... | Alice is not funny. | entailment | (![X]:(~strong(X)<=>(patient(X)<~>~wise(X))))&
(![X]:((patient(X)|tall(X))=>rich(X)))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:(tall(X)<=>~humble(X)))&
(((patient(john)<~>~tall(john)))=>(?[X]:((kind(X)&strong(X)))))&
(![X]:((~brave(X)<~>g... | ~funny(alice) | [
"p6",
"p8",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 858617576006290486995919
% SZS output start Proof for 858617576006290486995919
7. ! [X0] : ((~brave(X0) <~> generous(X0)) <=> ~funny(X0)) [input p6]
9. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p8]
13. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm(X0))) [input... | 0 |
If alice is not generous or not brave then someone is patient.
If someone is not funny then someone is both wise and not brave.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and not old and vice versa.
If mary is either tall or quiet then someone is both no... | John is creative. | neutral | (((~generous(alice)|~brave(alice)))=>(?[X]:(patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X... | creative(john) | [] | null | 0 |
Everyone who is funny is not generous.
Everyone who is wise is not happy and vice versa.
Everyone who is not quiet is not generous or wise.
Everyone who is strong is both creative and calm.
Everyone who is strong is strong or not patient.
If john is brave or not funny then someone is quiet or not quiet.
If john is not ... | Susan is not quiet. | neutral | (![X]:(funny(X)=>~generous(X)))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:(~quiet(X)=>(~generous(X)|wise(X))))&
(![X]:(strong(X)=>(creative(X)&calm(X))))&
(![X]:(strong(X)=>(strong(X)|~patient(X))))&
(((brave(john)|~funny(john)))=>(?[X]:((quiet(X)|~quiet(X)))))&
((~calm(john))=>((~kind(alice)|old(alice))))&
(![X]:((tall(X)&... | ~quiet(susan) | [] | null | 0 |
Everyone who is both not rich and curious is creative and vice versa.
If mary is both generous and old then lucy is quiet or curious.
Everyone who is not rich is both rich and not brave and vice versa.
Everyone who is not happy or not patient is both creative and not strong and vice versa.
Everyone who is calm or not s... | Susan is happy. | entailment | (![X]:((~rich(X)&curious(X))<=>creative(X)))&
(((generous(mary)&old(mary)))=>((quiet(lucy)|curious(lucy))))&
(![X]:(~rich(X)<=>(rich(X)&~brave(X))))&
(![X]:((~happy(X)|~patient(X))<=>(creative(X)&~strong(X))))&
(![X]:((calm(X)|~strong(X))<=>(~brave(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~quiet(X))))=>((~quiet(fred)|~ric... | happy(susan) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1415363218540281709734803
% SZS output start Proof for 1415363218540281709734803
1. ! [X0] : ((curious(X0) & ~rich(X0)) <=> creative(X0)) [input p0]
3. ! [X0] : (~rich(X0) <=> (~brave(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> (~strong(X0) & creative(X0))) [i... | 0 |
If someone is not kind or not brave then lucy is both not generous and not strong and vice versa.
If someone is either not funny or curious then paul is not funny or not calm.
If fred is funny or tall then paul is both not generous and strong and vice versa.
Everyone who is both not creative and kind is not kind and vi... | Alice is quiet. | entailment | ((?[X]:((~kind(X)|~brave(X))))<=>((~generous(lucy)&~strong(lucy))))&
((?[X]:((~funny(X)<~>curious(X))))=>((~funny(paul)|~calm(paul))))&
(((funny(fred)|tall(fred)))<=>((~generous(paul)&strong(paul))))&
(![X]:((~creative(X)&kind(X))<=>~kind(X)))&
(![X]:(~rich(X)<=>(tall(X)|~happy(X))))&
((?[X]:((~generous(X)&~humble(X)))... | quiet(alice) | [
"p0",
"p3",
"p6",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2453335652242713808902718
% SZS output start Proof for 2453335652242713808902718
1. ? [X0] : (~brave(X0) | ~kind(X0)) <=> (~strong(lucy) & ~generous(lucy)) [input p0]
4. ! [X0] : ((kind(X0) & ~creative(X0)) <=> ~kind(X0)) [input p3]
7. ~quiet(alice) <=> (funny(lucy) | generous(lucy)) [inp... | 0 |
If alice is patient or not old then someone is creative or not quiet.
Everyone who is both not happy and creative is quiet or curious.
Everyone who is both not old and patient is old or creative.
Everyone who is either humble or old is not patient or tall.
If someone is not brave or not funny then someone is both creat... | Lucy is humble. | contradiction | (((patient(alice)|~old(alice)))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:((~happy(X)&creative(X))=>(quiet(X)|curious(X))))&
(![X]:((~old(X)&patient(X))=>(old(X)|creative(X))))&
(![X]:((humble(X)<~>old(X))=>(~patient(X)|tall(X))))&
((?[X]:((~brave(X)|~funny(X))))<=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:((~tall(X)|cu... | humble(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8283449601394758256876157
% SZS output start Proof for 8283449601394758256876157
17. calm(lucy) & ~humble(lucy) [input p16]
24. humble(lucy) [input hypothesis]
121. ~humble(lucy) [cnf transformation 17]
131. humble(lucy) [cnf transformation 24]
231. $false [subsumption resolution 131,121]... | 0 |
If someone is both curious and not strong then someone is either patient or not creative. Everyone who is not old is not tall or not humble. If someone is rich then someone is not funny. If paul is both curious and not quiet then someone is not wise or rich and vice versa. Everyone who is both not brave and tall is eit... | Paul is not quiet. | entailment | ((?[X]:((curious(X)&~strong(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:(~old(X)=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~brave(X)&tall(X))<=>(~patient(X)<~>strong(X))))&
((?[X]:((calm(X)&~brave(X))))<=>(?[X]:((cal... | ~quiet(paul) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6763433591990346793309293
% SZS output start Proof for 6763433591990346793309293
4. (~quiet(paul) & curious(paul)) <=> ? [X0] : (rich(X0) | ~wise(X0)) [input p3]
16. rich(john) & wise(john) [input p15]
24. quiet(paul) [input hypothesis]
46. ((~quiet(paul) & curious(paul)) | ! [X0] : (~ric... | 0 |
Everyone who is not creative is not wise or strong and vice versa.
If susan is not wise then someone is wise and vice versa.
Everyone who is not brave is either not generous or creative and vice versa.
If someone is not patient then someone is calm or curious.
Everyone who is both not wise and not funny is not generous... | Lucy is tall. | contradiction | (![X]:(~creative(X)<=>(~wise(X)|strong(X))))&
((~wise(susan))<=>(?[X]:(wise(X))))&
(![X]:(~brave(X)<=>(~generous(X)<~>creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:((calm(X)|curious(X)))))&
(![X]:((~wise(X)&~funny(X))=>(~generous(X)|~curious(X))))&
(![X]:((patient(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(((~curious(s... | tall(lucy) | [
"p5",
"p8",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3457072368116303786379656
% SZS output start Proof for 3457072368116303786379656
6. ! [X0] : ((patient(X0) <~> old(X0)) <=> (~humble(X0) & ~curious(X0))) [input p5]
9. ? [X0] : (~old(X0) & tall(X0)) <=> (quiet(alice) & ~quiet(alice)) [input p8]
18. ~patient(lucy) [input p17]
19. happy(luc... | 0 |
Everyone who is not funny or humble is not funny or not curious.
If someone is either not funny or not wise then someone is both not rich and not old and vice versa.
If someone is both calm and tall then someone is happy.
If someone is tall or not calm then someone is both not happy and not brave.
If someone is old the... | Mary is wise. | neutral | (![X]:((~funny(X)|humble(X))=>(~funny(X)|~curious(X))))&
((?[X]:((~funny(X)<~>~wise(X))))<=>(?[X]:((~rich(X)&~old(X)))))&
((?[X]:((calm(X)&tall(X))))=>(?[X]:(happy(X))))&
((?[X]:((tall(X)|~calm(X))))=>(?[X]:((~happy(X)&~brave(X)))))&
((?[X]:(old(X)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(~old(X)... | wise(mary) | [] | null | 0 |
If paul is either not curious or quiet then someone is both not humble and calm and vice versa.
Everyone who is strong or not curious is both not strong and wise.
Everyone who is rich or not generous is not brave.
If john is wise or not generous then paul is happy or not generous and vice versa.
If someone is patient t... | Fred is not old. | neutral | (((~curious(paul)<~>quiet(paul)))<=>(?[X]:((~humble(X)&calm(X)))))&
(![X]:((strong(X)|~curious(X))=>(~strong(X)&wise(X))))&
(![X]:((rich(X)|~generous(X))=>~brave(X)))&
(((wise(john)|~generous(john)))<=>((happy(paul)|~generous(paul))))&
((?[X]:(patient(X)))=>(?[X]:((~rich(X)&rich(X)))))&
((?[X]:((~brave(X)<~>~patient(X)... | ~old(fred) | [] | null | 0 |
If alice is not wise or not strong then someone is both not generous and curious.
Everyone who is not old or not quiet is both patient and calm.
If susan is either not calm or quiet then someone is not curious.
If alice is kind then someone is not humble.
Everyone who is not quiet or patient is both not curious and not... | Paul is not tall. | entailment | (((~wise(alice)|~strong(alice)))=>(?[X]:((~generous(X)&curious(X)))))&
(![X]:((~old(X)|~quiet(X))=>(patient(X)&calm(X))))&
(((~calm(susan)<~>quiet(susan)))=>(?[X]:(~curious(X))))&
((kind(alice))=>(?[X]:(~humble(X))))&
(![X]:((~quiet(X)|patient(X))=>(~curious(X)&~funny(X))))&
(![X]:((old(X)|calm(X))<=>(creative(X)|brave... | ~tall(paul) | [
"p1",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5087991499234869348668159
% SZS output start Proof for 5087991499234869348668159
2. ! [X0] : ((~quiet(X0) | ~old(X0)) => (calm(X0) & patient(X0))) [input p1]
7. ! [X0] : (~happy(X0) <=> (quiet(X0) | kind(X0))) [input p6]
8. ? [X0] : (patient(X0) & ~old(X0)) <=> ? [X0] : (~quiet(X0) & rich... | 0 |
If someone is not old then someone is both quiet and happy and vice versa.
If susan is both not tall and calm then alice is either brave or generous and vice versa.
Everyone who is either not curious or kind is creative or not patient and vice versa.
If susan is either generous or not kind then alice is not calm and vi... | Fred is not curious. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((quiet(X)&happy(X)))))&
(((~tall(susan)&calm(susan)))<=>((brave(alice)<~>generous(alice))))&
(![X]:((~curious(X)<~>kind(X))<=>(creative(X)|~patient(X))))&
(((generous(susan)<~>~kind(susan)))<=>(~calm(alice)))&
(![X]:((brave(X)&~old(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((kind(X)&~rich(X))=>(~ki... | ~curious(fred) | [
"p4",
"p5",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6053090415196686263442123
% SZS output start Proof for 6053090415196686263442123
5. ! [X0] : ((~old(X0) & brave(X0)) <=> (~wise(X0) <~> wise(X0))) [input p4]
6. ! [X0] : ((~rich(X0) & kind(X0)) => (funny(X0) & ~kind(X0))) [input p5]
10. ? [X0] : (calm(X0) | ~kind(X0)) => old(alice) [input... | 0 |
If someone is either humble or not patient then someone is old or not kind.
Everyone who is both curious and not rich is either not curious or old and vice versa.
Everyone who is both not humble and old is both not patient and not brave and vice versa.
If someone is old or not quiet then someone is not generous and vic... | John is old. | contradiction | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((curious(X)&~rich(X))<=>(~curious(X)<~>old(X))))&
(![X]:((~humble(X)&old(X))<=>(~patient(X)&~brave(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)|funny(X))))&
((?[X]:((brave(X)<~>wise... | old(john) | [
"p4",
"p5",
"p7",
"p9",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 209848134474820763435301
% SZS output start Proof for 209848134474820763435301
5. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> (funny(X0) | ~humble(X0))) [input p4]
6. ? [X0] : (brave(X0) <~> wise(X0)) => (~calm(lucy) & calm(lucy)) [input p5]
8. ? [X0] : (~kind(X0) | ~brave(X0)) <=> (~hu... | 0 |
Everyone who is tall is both strong and tall and vice versa.
If someone is both happy and kind then mary is both quiet and not rich.
If someone is both patient and not generous then paul is not kind and vice versa.
Everyone who is both wise and tall is creative.
Everyone who is both quiet and kind is either not generou... | Alice is not brave. | neutral | (![X]:(tall(X)<=>(strong(X)&tall(X))))&
((?[X]:((happy(X)&kind(X))))=>((quiet(mary)&~rich(mary))))&
((?[X]:((patient(X)&~generous(X))))<=>(~kind(paul)))&
(![X]:((wise(X)&tall(X))=>creative(X)))&
(![X]:((quiet(X)&kind(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~happy(X)|creative(X))<=>(~tall(X)&~old(X))))&
(![X]:((~rich(... | ~brave(alice) | [] | null | 0 |
Everyone who is not strong is not curious or generous.
Everyone who is either not funny or old is brave.
If fred is not wise then lucy is either not generous or old and vice versa.
Everyone who is funny is not funny or calm and vice versa.
Everyone who is both not kind and not patient is either not old or wise and vice... | Susan is not creative. | neutral | (![X]:(~strong(X)=>(~curious(X)|generous(X))))&
(![X]:((~funny(X)<~>old(X))=>brave(X)))&
((~wise(fred))<=>((~generous(lucy)<~>old(lucy))))&
(![X]:(funny(X)<=>(~funny(X)|calm(X))))&
(![X]:((~kind(X)&~patient(X))<=>(~old(X)<~>wise(X))))&
(![X]:((strong(X)|~generous(X))<=>~tall(X)))&
(![X]:(~old(X)=>(~wise(X)|happy(X))))&... | ~creative(susan) | [] | null | 0 |
Everyone who is not old is both not kind and not funny and vice versa. Everyone who is both not old and not quiet is either not tall or funny. If someone is tall or not curious then mary is not humble. Everyone who is calm or not brave is not funny and vice versa. Everyone who is quiet is curious and vice versa. If som... | Mary is not kind. | entailment | (![X]:(~old(X)<=>(~kind(X)&~funny(X))))&
(![X]:((~old(X)&~quiet(X))=>(~tall(X)<~>funny(X))))&
((?[X]:((tall(X)|~curious(X))))=>(~humble(mary)))&
(![X]:((calm(X)|~brave(X))<=>~funny(X)))&
(![X]:(quiet(X)<=>curious(X)))&
((?[X]:((~strong(X)|humble(X))))<=>(?[X]:((~happy(X)&~quiet(X)))))&
(![X]:((strong(X)|~wise(X))=>(qui... | ~kind(mary) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3874554416121988254917146
% SZS output start Proof for 3874554416121988254917146
1. ! [X0] : (~old(X0) <=> (~funny(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) & ~old(X0)) => (~tall(X0) <~> funny(X0))) [input p1]
4. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~funny(X0)) [input p3]
6. ... | 0 |
If paul is either old or not kind then someone is both not brave and not strong and vice versa.
Everyone who is kind or not kind is not curious or not humble.
If mary is either quiet or wise then someone is both not brave and tall and vice versa.
Everyone who is either quiet or tall is either old or not humble.
Everyon... | Susan is quiet. | entailment | (((old(paul)<~>~kind(paul)))<=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((kind(X)|~kind(X))=>(~curious(X)|~humble(X))))&
(((quiet(mary)<~>wise(mary)))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((quiet(X)<~>tall(X))=>(old(X)<~>~humble(X))))&
(![X]:((~strong(X)&kind(X))<=>(funny(X)&~curious(X))))&
(![X]:((patient(X)&~funny(X... | quiet(susan) | [
"p1",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4469011902342982527464828
% SZS output start Proof for 4469011902342982527464828
2. ! [X0] : ((~kind(X0) | kind(X0)) => (~humble(X0) | ~curious(X0))) [input p1]
11. ! [X0] : ((wise(X0) | ~humble(X0)) => (humble(X0) <~> ~strong(X0))) [input p10]
12. (~old(susan) & ~humble(susan)) <=> ? [X0... | 0 |
Everyone who is either not rich or strong is both rich and not old and vice versa. If someone is generous or not brave then susan is both kind and not kind. If someone is both strong and rich then someone is either happy or old and vice versa. If someone is either not creative or not tall then lucy is old. Everyone who... | Fred is not creative. | contradiction | (![X]:((~rich(X)<~>strong(X))<=>(rich(X)&~old(X))))&
((?[X]:((generous(X)|~brave(X))))=>((kind(susan)&~kind(susan))))&
((?[X]:((strong(X)&rich(X))))<=>(?[X]:((happy(X)<~>old(X)))))&
((?[X]:((~creative(X)<~>~tall(X))))=>(old(lucy)))&
(![X]:(~quiet(X)=>(tall(X)<~>patient(X))))&
((?[X]:((~happy(X)|~rich(X))))<=>(?[X]:((qu... | ~creative(fred) | [
"p1",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2448663181577221963844959
% SZS output start Proof for 2448663181577221963844959
2. ? [X0] : (~brave(X0) | generous(X0)) => (~kind(susan) & kind(susan)) [input p1]
12. ! [X0] : ((~creative(X0) | curious(X0)) => (tall(X0) & ~happy(X0))) [input p11]
13. ! [X0] : ((old(X0) & generous(X0)) <=... | 0 |
Everyone who is creative or wise is not old and vice versa. If fred is not brave or not happy then lucy is rich and vice versa. Everyone who is kind or not brave is humble. If someone is both wise and funny then someone is not old or not strong. Everyone who is quiet or not brave is creative or not calm. Everyone who i... | Lucy is humble. | entailment | (![X]:((creative(X)|wise(X))<=>~old(X)))&
(((~brave(fred)|~happy(fred)))<=>(rich(lucy)))&
(![X]:((kind(X)|~brave(X))=>humble(X)))&
((?[X]:((wise(X)&funny(X))))=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((quiet(X)|~brave(X))=>(creative(X)|~calm(X))))&
(![X]:((~calm(X)|rich(X))=>(~tall(X)|generous(X))))&
((?[X]:(~happy(X)))... | humble(lucy) | [
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7248696315251759484310733
% SZS output start Proof for 7248696315251759484310733
3. ! [X0] : ((~brave(X0) | kind(X0)) => humble(X0)) [input p2]
13. ! [X0] : ((~calm(X0) | ~brave(X0)) => (~brave(X0) & wise(X0))) [input p12]
14. kind(lucy) <=> (calm(lucy) <~> ~brave(lucy)) [input p13]
24. ~... | 0 |
If someone is calm or not generous then alice is not funny or strong and vice versa. If alice is funny or not humble then fred is funny or curious. Everyone who is either strong or not generous is humble. Everyone who is not rich is either not curious or humble. Everyone who is not strong or creative is either not calm... | Paul is creative. | contradiction | ((?[X]:((calm(X)|~generous(X))))<=>((~funny(alice)|strong(alice))))&
(((funny(alice)|~humble(alice)))=>((funny(fred)|curious(fred))))&
(![X]:((strong(X)<~>~generous(X))=>humble(X)))&
(![X]:(~rich(X)=>(~curious(X)<~>humble(X))))&
(![X]:((~strong(X)|creative(X))=>(~calm(X)<~>~rich(X))))&
((?[X]:(~happy(X)))=>(~creative(l... | creative(paul) | [
"p4",
"p6",
"p8",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4243110075910580798524173
% SZS output start Proof for 4243110075910580798524173
5. ! [X0] : ((creative(X0) | ~strong(X0)) => (~calm(X0) <~> ~rich(X0))) [input p4]
7. ! [X0] : (~creative(X0) <=> (wise(X0) & curious(X0))) [input p6]
9. ! [X0] : ((~funny(X0) | kind(X0)) <=> (rich(X0) & curi... | 0 |
Everyone who is calm or humble is quiet. Everyone who is not calm is not humble. If paul is both humble and not strong then someone is either not curious or wise. 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 an... | Lucy is not creative. | entailment | (![X]:((calm(X)|humble(X))=>quiet(X)))&
(![X]:(~calm(X)=>~humble(X)))&
(((humble(paul)&~strong(paul)))=>(?[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))... | ~creative(lucy) | [
"p1",
"p4",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7160915619541714702799305
% SZS output start Proof for 7160915619541714702799305
2. ! [X0] : (~calm(X0) => ~humble(X0)) [input p1]
5. ! [X0] : ((humble(X0) <~> old(X0)) <=> (humble(X0) & ~funny(X0))) [input p4]
14. ! [X0] : ((~old(X0) | ~humble(X0)) => humble(X0)) [input p13]
16. ! [X0] :... | 0 |
If john is either wise or brave then john is not calm.
Everyone who is patient is generous or rich and vice versa.
Everyone who is both not rich and rich is not tall and vice versa.
Everyone who is kind is either humble or not rich and vice versa.
If someone is tall then paul is both not curious and not strong.
Everyon... | Paul is wise. | contradiction | (((wise(john)<~>brave(john)))=>(~calm(john)))&
(![X]:(patient(X)<=>(generous(X)|rich(X))))&
(![X]:((~rich(X)&rich(X))<=>~tall(X)))&
(![X]:(kind(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(tall(X)))=>((~curious(paul)&~strong(paul))))&
(![X]:(brave(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~brave(X)&kind(X))<=>patient(X)))&
(![... | wise(paul) | [
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6746010430101839624110861
% SZS output start Proof for 6746010430101839624110861
6. ! [X0] : (brave(X0) => (~brave(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((kind(X0) & ~brave(X0)) <=> patient(X0)) [input p6]
11. ! [X0] : ((~generous(X0) | wise(X0)) => (~patient(X0) & ~rich(X0))) [inp... | 0 |
Everyone who is tall or not calm is both not brave and happy.
If someone is not rich then someone is not kind and vice versa.
If someone is either old or not quiet then john is either not humble or not curious.
Everyone who is patient is either not wise or old and vice versa.
Everyone who is happy or not calm is creati... | Fred is rich. | entailment | (![X]:((tall(X)|~calm(X))=>(~brave(X)&happy(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(~kind(X))))&
((?[X]:((old(X)<~>~quiet(X))))=>((~humble(john)<~>~curious(john))))&
(![X]:(patient(X)<=>(~wise(X)<~>old(X))))&
(![X]:((happy(X)|~calm(X))<=>(creative(X)|rich(X))))&
(![X]:((~brave(X)<~>kind(X))=>strong(X)))&
(![X]:((~quiet(X)<~... | rich(fred) | [
"p3",
"p7",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 586892104615772353772052
% SZS output start Proof for 586892104615772353772052
4. ! [X0] : (patient(X0) <=> (~wise(X0) <~> old(X0))) [input p3]
8. ! [X0] : ((~creative(X0) | patient(X0)) <=> (rich(X0) <~> ~funny(X0))) [input p7]
10. (patient(fred) & funny(fred)) <=> ? [X0] : (~tall(X0) | ... | 0 |
If fred is either strong or curious then alice is both not quiet and not old and vice versa.
Everyone who is strong is kind or not strong and vice versa.
Everyone who is patient or not humble is not creative or not tall and vice versa.
If lucy is both not patient and not happy then someone is either patient or not calm... | Lucy is not tall. | neutral | (((strong(fred)<~>curious(fred)))<=>((~quiet(alice)&~old(alice))))&
(![X]:(strong(X)<=>(kind(X)|~strong(X))))&
(![X]:((patient(X)|~humble(X))<=>(~creative(X)|~tall(X))))&
(((~patient(lucy)&~happy(lucy)))=>(?[X]:((patient(X)<~>~calm(X)))))&
(![X]:((~humble(X)|~rich(X))<=>(~wise(X)<~>happy(X))))&
(((calm(john)|quiet(john... | ~tall(lucy) | [] | null | 0 |
Everyone who is both not happy and calm is not creative and vice versa.
If someone is both brave and not funny then someone is both rich and not brave.
If fred is either kind or not old then someone is not strong.
If fred is generous or humble then mary is not calm and vice versa.
Everyone who is either not generous or... | Alice is not old. | entailment | (![X]:((~happy(X)&calm(X))<=>~creative(X)))&
((?[X]:((brave(X)&~funny(X))))=>(?[X]:((rich(X)&~brave(X)))))&
(((kind(fred)<~>~old(fred)))=>(?[X]:(~strong(X))))&
(((generous(fred)|humble(fred)))<=>(~calm(mary)))&
(![X]:((~generous(X)<~>wise(X))=>(~rich(X)&quiet(X))))&
(![X]:(funny(X)=>~old(X)))&
((brave(susan))=>((~calm(... | ~old(alice) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7261545232761021590860761
% SZS output start Proof for 7261545232761021590860761
6. ! [X0] : (funny(X0) => ~old(X0)) [input p5]
9. ! [X0] : ((funny(X0) <~> old(X0)) <=> (funny(X0) & ~tall(X0))) [input p8]
24. old(alice) [input hypothesis]
36. ! [X0] : (~old(X0) | ~funny(X0)) [ennf transfo... | 0 |
Everyone who is both not patient and funny is not curious. Everyone who is quiet is both not humble and not creative. Everyone who is not humble is both happy and not humble. Everyone who is either kind or creative is not quiet or not brave. Everyone who is not tall or not kind is not old and vice versa. If someone is ... | John is not tall. | contradiction | (![X]:((~patient(X)&funny(X))=>~curious(X)))&
(![X]:(quiet(X)=>(~humble(X)&~creative(X))))&
(![X]:(~humble(X)=>(happy(X)&~humble(X))))&
(![X]:((kind(X)<~>creative(X))=>(~quiet(X)|~brave(X))))&
(![X]:((~tall(X)|~kind(X))<=>~old(X)))&
((?[X]:((~funny(X)<~>~brave(X))))<=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:(~happy(X)<=>... | ~tall(john) | [
"p4",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4319354759592835561586199
% SZS output start Proof for 4319354759592835561586199
5. ! [X0] : ((~kind(X0) | ~tall(X0)) <=> ~old(X0)) [input p4]
8. (brave(paul) | ~patient(paul)) <=> ? [X0] : quiet(X0) [input p7]
10. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> ~brave(X0)) [input p9]
11. ! [X0] : ... | 0 |
Everyone who is not quiet is either quiet or not strong and vice versa.
Everyone who is either calm or not calm is old.
Everyone who is curious or not creative is not funny and vice versa.
Everyone who is either wise or not curious is both kind and not old.
If john is not brave or patient then lucy is not curious.
Ever... | Lucy is not funny. | entailment | (![X]:(~quiet(X)<=>(quiet(X)<~>~strong(X))))&
(![X]:((calm(X)<~>~calm(X))=>old(X)))&
(![X]:((curious(X)|~creative(X))<=>~funny(X)))&
(![X]:((wise(X)<~>~curious(X))=>(kind(X)&~old(X))))&
(((~brave(john)|patient(john)))=>(~curious(lucy)))&
(![X]:((~curious(X)<~>~old(X))<=>(~creative(X)<~>strong(X))))&
(((~happy(alice)&pa... | ~funny(lucy) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 620272972310353921460051
% SZS output start Proof for 620272972310353921460051
1. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> ~calm(X0)) => old(X0)) [input p1]
3. ! [X0] : ((~creative(X0) | curious(X0)) <=> ~funny(X0)) [input p2]
6. ! [X0] :... | 0 |
Everyone who is not quiet is either generous or not happy.
Everyone who is both happy and not funny is either generous or not funny and vice versa.
If someone is either not brave or not kind then someone is not calm or curious.
Everyone who is both not humble and generous is either generous or kind and vice versa.
If s... | Mary is not wise. | neutral | (![X]:(~quiet(X)=>(generous(X)<~>~happy(X))))&
(![X]:((happy(X)&~funny(X))<=>(generous(X)<~>~funny(X))))&
((?[X]:((~brave(X)<~>~kind(X))))=>(?[X]:((~calm(X)|curious(X)))))&
(![X]:((~humble(X)&generous(X))<=>(generous(X)<~>kind(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((wise(X)|generous(X)))))&
(![X]:(~patient(X)=>(kind(X)<~... | ~wise(mary) | [] | null | 0 |
If paul is wise then someone is either quiet or strong.
Everyone who is not strong or happy is either not kind or not happy and vice versa.
Everyone who is both calm and not calm is either not happy or not kind.
Everyone who is not rich or creative is either not rich or not quiet.
If susan is not generous then someone ... | Paul is creative. | entailment | ((wise(paul))=>(?[X]:((quiet(X)<~>strong(X)))))&
(![X]:((~strong(X)|happy(X))<=>(~kind(X)<~>~happy(X))))&
(![X]:((calm(X)&~calm(X))=>(~happy(X)<~>~kind(X))))&
(![X]:((~rich(X)|creative(X))=>(~rich(X)<~>~quiet(X))))&
((~generous(susan))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((calm(X)<~>~quiet(X))=>calm(X)))&
((?[X]:(... | creative(paul) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 511457317945342677332941
% SZS output start Proof for 511457317945342677332941
14. (curious(fred) <~> ~curious(fred)) <=> (creative(paul) & ~curious(paul)) [input p13]
21. patient(fred) & ~curious(fred) [input p20]
25. ~creative(paul) [input hypothesis]
66. (((curious(fred) | ~curious(fre... | 0 |
If lucy is quiet then someone is either not calm or not strong and vice versa.
Everyone who is both tall and old is either curious or not happy.
Everyone who is either curious or creative is not brave or strong and vice versa.
Everyone who is not humble is both humble and tall and vice versa.
If mary is both old and hu... | Paul is not humble. | contradiction | ((quiet(lucy))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((tall(X)&old(X))=>(curious(X)<~>~happy(X))))&
(![X]:((curious(X)<~>creative(X))<=>(~brave(X)|strong(X))))&
(![X]:(~humble(X)<=>(humble(X)&tall(X))))&
(((old(mary)&humble(mary)))=>(~patient(alice)))&
(![X]:((curious(X)|~funny(X))=>(creative(X)|~happy(X))))&
((~c... | ~humble(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7176529297209407466169846
% SZS output start Proof for 7176529297209407466169846
4. ! [X0] : (~humble(X0) <=> (tall(X0) & humble(X0))) [input p3]
23. ~humble(paul) [input hypothesis]
46. ! [X0] : ((~humble(X0) | (~tall(X0) | ~humble(X0))) & ((tall(X0) & humble(X0)) | humble(X0))) [nnf tra... | 0 |
If paul is both not strong and not wise then someone is both quiet and strong.
Everyone who is not strong or not quiet is either not strong or tall and vice versa.
If alice is not strong then alice is both not rich and kind.
Everyone who is not quiet or humble is not rich or not wise and vice versa.
Everyone who is not... | Mary is not calm. | contradiction | (((~strong(paul)&~wise(paul)))=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~strong(X)|~quiet(X))<=>(~strong(X)<~>tall(X))))&
((~strong(alice))=>((~rich(alice)&kind(alice))))&
(![X]:((~quiet(X)|humble(X))<=>(~rich(X)|~wise(X))))&
(![X]:((~humble(X)|kind(X))<=>(calm(X)&funny(X))))&
(((~rich(susan)|~funny(susan)))<=>((kind(s... | ~calm(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 250952678888242376569646
% SZS output start Proof for 250952678888242376569646
8. ! [X0] : ((calm(X0) & humble(X0)) <=> (tall(X0) | ~calm(X0))) [input p7]
25. ~calm(mary) [input hypothesis]
48. ! [X0] : (((calm(X0) & humble(X0)) | (~tall(X0) & calm(X0))) & ((tall(X0) | ~calm(X0)) | (~calm... | 0 |
Everyone who is both curious and not strong is both not quiet and not generous and vice versa.
If someone is both rich and calm then someone is not brave and vice versa.
If someone is both not brave and not wise then susan is not strong or not rich.
Everyone who is either rich or not strong is both not generous and not... | Paul is not curious. | entailment | (![X]:((curious(X)&~strong(X))<=>(~quiet(X)&~generous(X))))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&~wise(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~kind(X))))&
(![X]:((calm(X)|~curious(X))=>~humble(X)))&
(![X]:(funny(X)<=>(kind(X)&~wise(X))))&... | ~curious(paul) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 723938492976514868168854
% SZS output start Proof for 723938492976514868168854
6. ! [X0] : (funny(X0) <=> (~wise(X0) & kind(X0))) [input p5]
9. ! [X0] : ((~strong(X0) | brave(X0)) => (~brave(X0) <~> funny(X0))) [input p8]
12. ! [X0] : ((brave(X0) | curious(X0)) <=> (~kind(X0) & brave(X0))... | 0 |
If someone is not creative or not humble then susan is both not tall and humble and vice versa.
Everyone who is both not patient and creative is both not funny and not strong and vice versa.
If someone is brave or not funny then someone is both not humble and happy.
Everyone who is not strong is both strong and tall.
I... | Lucy is not strong. | contradiction | ((?[X]:((~creative(X)|~humble(X))))<=>((~tall(susan)&humble(susan))))&
(![X]:((~patient(X)&creative(X))<=>(~funny(X)&~strong(X))))&
((?[X]:((brave(X)|~funny(X))))=>(?[X]:((~humble(X)&happy(X)))))&
(![X]:(~strong(X)=>(strong(X)&tall(X))))&
(((~old(alice)<~>kind(alice)))=>((humble(alice)|wise(alice))))&
(![X]:((~quiet(X)... | ~strong(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 802721065215858496045858
% SZS output start Proof for 802721065215858496045858
4. ! [X0] : (~strong(X0) => (tall(X0) & strong(X0))) [input p3]
23. ~strong(lucy) [input hypothesis]
29. ! [X0] : ((tall(X0) & strong(X0)) | strong(X0)) [ennf transformation 4]
95. strong(X0) | strong(X0) [cnf ... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either not funny or not rich is funny or rich.
If alice is both humble and old then someone is strong.
If lucy is not kind then fred is generous and vice versa.
If fred is b... | John is creative. | neutral | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(funny(X)|rich(X))))&
(((humble(alice)&old(alice)))=>(?[X]:(strong(X))))&
((~kind(lucy))<=>(generous(fred)))&
(((strong(fred)&happy(fred)))=>((~wise(lucy)<~>brave(lucy))))&
(![X]:((wise... | creative(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 not old. | entailment | (![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 6841559486809751959967955
% SZS output start Proof for 6841559486809751959967955
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 |
If someone is generous or funny then someone is both quiet and creative. Everyone who is happy is either patient or wise. If susan is not rich or curious then someone is both not brave and rich and vice versa. Everyone who is not humble or not happy is brave and vice versa. Everyone who is not creative or humble is bot... | Susan is not kind. | contradiction | ((?[X]:((generous(X)|funny(X))))=>(?[X]:((quiet(X)&creative(X)))))&
(![X]:(happy(X)=>(patient(X)<~>wise(X))))&
(((~rich(susan)|curious(susan)))<=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((~humble(X)|~happy(X))<=>brave(X)))&
(![X]:((~creative(X)|humble(X))=>(~tall(X)&tall(X))))&
((?[X]:((old(X)<~>~happy(X))))=>((humble(ali... | ~kind(susan) | [
"p2",
"p3",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5811781023417597635900431
% SZS output start Proof for 5811781023417597635900431
3. (curious(susan) | ~rich(susan)) <=> ? [X0] : (rich(X0) & ~brave(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> brave(X0)) [input p3]
5. ! [X0] : ((humble(X0) | ~creative(X0)) => (tall(X0) & ~t... | 0 |
Everyone who is either not humble or not rich is either not rich or not strong and vice versa. Everyone who is not rich is not calm or strong and vice versa. If someone is not old or strong then someone is either kind or not quiet. Everyone who is creative is not tall. Everyone who is both not calm and not kind is crea... | Fred is not curious. | contradiction | (![X]:((~humble(X)<~>~rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X)&~kind(X))<=>creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(kind(X)<~>~humble(X))))&
((?[X]:((humble(X)<... | ~curious(fred) | [
"p0",
"p1",
"p3",
"p9",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4726337213654952862852351
% SZS output start Proof for 4726337213654952862852351
1. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (~rich(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : (~rich(X0) <=> (strong(X0) | ~calm(X0))) [input p1]
4. ! [X0] : (creative(X0) => ~tall(X0)) [input p3]
10. ! [X... | 0 |
Everyone who is either generous or not patient is both not kind and strong.
Everyone who is both rich and not humble is either not funny or not old.
If paul is brave then paul is either not patient or not creative.
Everyone who is not kind is patient and vice versa.
Everyone who is both not strong and creative is both ... | Alice is happy. | entailment | (![X]:((generous(X)<~>~patient(X))=>(~kind(X)&strong(X))))&
(![X]:((rich(X)&~humble(X))=>(~funny(X)<~>~old(X))))&
((brave(paul))=>((~patient(paul)<~>~creative(paul))))&
(![X]:(~kind(X)<=>patient(X)))&
(![X]:((~strong(X)&creative(X))<=>(~calm(X)&~quiet(X))))&
(![X]:((brave(X)|~generous(X))=>~calm(X)))&
(![X]:((~happy(X)... | happy(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2314476111883840678632513
% SZS output start Proof for 2314476111883840678632513
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (creative(X0) & happy(X0))) [input p11]
25. ~happy(alice) [input hypothesis]
51. ! [X0] : (((curious(X0) | ~curious(X0)) | (~creative(X0) | ~happy(X0))) & ((crea... | 0 |
Everyone who is not patient or wise is both not funny and not quiet. Everyone who is both happy and tall is not kind and vice versa. If john is creative then someone is not calm or not creative. Everyone who is not rich is either not rich or not funny. If john is not patient then paul is not old or creative. Everyone w... | Mary is strong. | neutral | (![X]:((~patient(X)|wise(X))=>(~funny(X)&~quiet(X))))&
(![X]:((happy(X)&tall(X))<=>~kind(X)))&
((creative(john))=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:(~rich(X)=>(~rich(X)<~>~funny(X))))&
((~patient(john))=>((~old(paul)|creative(paul))))&
(![X]:((~creative(X)&~tall(X))=>(~kind(X)|~humble(X))))&
((?[X]:((wise(X)&fun... | strong(mary) | [] | null | 0 |
If someone is either not calm or not rich then alice is both not brave and not wise and vice versa.
Everyone who is either not strong or not kind is both not brave and brave.
Everyone who is either wise or strong is either rich or humble and vice versa.
Everyone who is both not kind and not old is not patient and vice ... | John is not calm. | contradiction | ((?[X]:((~calm(X)<~>~rich(X))))<=>((~brave(alice)&~wise(alice))))&
(![X]:((~strong(X)<~>~kind(X))=>(~brave(X)&brave(X))))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)<~>humble(X))))&
(![X]:((~kind(X)&~old(X))<=>~patient(X)))&
(((~strong(fred)|calm(fred)))<=>((~curious(john)|rich(john))))&
(((strong(susan)<~>old(susan)))<=>... | ~calm(john) | [
"p1",
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8037217202463187931616862
% SZS output start Proof for 8037217202463187931616862
2. ! [X0] : ((~strong(X0) <~> ~kind(X0)) => (brave(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((~old(X0) & ~kind(X0)) <=> ~patient(X0)) [input p3]
8. ! [X0] : ((strong(X0) & calm(X0)) <=> ~patient(X0)) [input ... | 0 |
Everyone who is patient is not kind.
Everyone who is either curious or not brave is not brave or humble.
Everyone who is either quiet or not curious is not rich and vice versa.
If fred is either creative or brave then paul is rich or curious.
If mary is either not generous or happy then someone is either happy or brave... | Alice is not wise. | neutral | (![X]:(patient(X)=>~kind(X)))&
(![X]:((curious(X)<~>~brave(X))=>(~brave(X)|humble(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>~rich(X)))&
(((creative(fred)<~>brave(fred)))=>((rich(paul)|curious(paul))))&
(((~generous(mary)<~>happy(mary)))<=>(?[X]:((happy(X)<~>brave(X)))))&
((?[X]:((~creative(X)&old(X))))=>((~calm(paul)|~c... | ~wise(alice) | [] | null | 0 |
Everyone who is both wise and not curious is either not humble or not creative and vice versa. Everyone who is not strong or not wise is curious or not funny and vice versa. If someone is either happy or creative then someone is rich or strong and vice versa. Everyone who is strong or patient is not humble. Everyone wh... | Paul is not brave. | entailment | (![X]:((wise(X)&~curious(X))<=>(~humble(X)<~>~creative(X))))&
(![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=... | ~brave(paul) | [
"p0",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4754291573372526752514077
% SZS output start Proof for 4754291573372526752514077
1. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~humble(X0) <~> ~creative(X0))) [input p0]
9. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> curious(X0)) [input p8]
16. (brave(paul) & humble(paul)) <=> ? [X0] : (brave(... | 0 |
Everyone who is not strong or tall is humble or patient and vice versa. Everyone who is both strong and not quiet is both not old and not kind. If lucy is either not patient or brave then susan is tall or not rich and vice versa. Everyone who is not funny is humble. If fred is either not curious or not quiet then someo... | Fred is kind. | neutral | (![X]:((~strong(X)|tall(X))<=>(humble(X)|patient(X))))&
(![X]:((strong(X)&~quiet(X))=>(~old(X)&~kind(X))))&
(((~patient(lucy)<~>brave(lucy)))<=>((tall(susan)|~rich(susan))))&
(![X]:(~funny(X)=>humble(X)))&
(((~curious(fred)<~>~quiet(fred)))=>(?[X]:((wise(X)<~>~old(X)))))&
(![X]:(~kind(X)=>(~calm(X)<~>quiet(X))))&
(![X]... | kind(fred) | [] | null | 0 |
Everyone who is either not wise or wise is not curious or wise and vice versa.
Everyone who is strong or not funny is either not happy or tall.
Everyone who is patient or brave is not wise or curious and vice versa.
Everyone who is wise or brave is both not calm and not generous.
Everyone who is both not curious and ha... | Lucy is not wise. | neutral | (![X]:((~wise(X)<~>wise(X))<=>(~curious(X)|wise(X))))&
(![X]:((strong(X)|~funny(X))=>(~happy(X)<~>tall(X))))&
(![X]:((patient(X)|brave(X))<=>(~wise(X)|curious(X))))&
(![X]:((wise(X)|brave(X))=>(~calm(X)&~generous(X))))&
(![X]:((~curious(X)&happy(X))<=>~quiet(X)))&
(![X]:((~wise(X)&~kind(X))=>(calm(X)|old(X))))&
(((brav... | ~wise(lucy) | [] | null | 0 |
Everyone who is either creative or calm is either not curious or old and vice versa. Everyone who is not creative is either not happy or not wise. Everyone who is not happy or not curious is kind or humble. Everyone who is kind or not tall is not wise or patient. If paul is either not tall or tall then paul is not tall... | Lucy is not curious. | entailment | (![X]:((creative(X)<~>calm(X))<=>(~curious(X)<~>old(X))))&
(![X]:(~creative(X)=>(~happy(X)<~>~wise(X))))&
(![X]:((~happy(X)|~curious(X))=>(kind(X)|humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)|patient(X))))&
(((~tall(paul)<~>tall(paul)))=>((~tall(paul)|~patient(paul))))&
(![X]:((~kind(X)&~old(X))<=>(curious(X)<~>~... | ~curious(lucy) | [
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1941288360784518325267244
% SZS output start Proof for 1941288360784518325267244
9. ! [X0] : (~old(X0) => ~patient(X0)) [input p8]
11. ! [X0] : ((~old(X0) <~> curious(X0)) <=> ~curious(X0)) [input p10]
15. (patient(john) & calm(john)) <=> ? [X0] : (~rich(X0) | curious(X0)) [input p14]
23.... | 0 |
If someone is either patient or humble then john is either not old or humble. Everyone who is old is not kind and vice versa. If someone is either calm or kind then someone is not strong or wise. Everyone who is patient or generous is curious or not old and vice versa. Everyone who is not humble is kind and vice versa.... | Fred is brave. | neutral | ((?[X]:((patient(X)<~>humble(X))))=>((~old(john)<~>humble(john))))&
(![X]:(old(X)<=>~kind(X)))&
((?[X]:((calm(X)<~>kind(X))))=>(?[X]:((~strong(X)|wise(X)))))&
(![X]:((patient(X)|generous(X))<=>(curious(X)|~old(X))))&
(![X]:(~humble(X)<=>kind(X)))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((calm(X)<~>~generous(X))=>(curiou... | brave(fred) | [] | null | 0 |
If paul is either not curious or not calm then someone is not humble and vice versa.
If someone is either not patient or not funny then paul is both not tall and not funny and vice versa.
If paul is both not wise and tall then someone is either brave or old and vice versa.
Everyone who is either wise or brave is both n... | Susan is rich. | neutral | (((~curious(paul)<~>~calm(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>((~tall(paul)&~funny(paul))))&
(((~wise(paul)&tall(paul)))<=>(?[X]:((brave(X)<~>old(X)))))&
(![X]:((wise(X)<~>brave(X))=>(~wise(X)&~humble(X))))&
((~curious(susan))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~patient(X)&generous... | rich(susan) | [] | null | 0 |
Everyone who is either quiet or not old is tall and vice versa. If john is not calm then someone is creative and vice versa. Everyone who is kind or curious is either not old or funny and vice versa. Everyone who is either funny or not wise is both strong and not patient and vice versa. Everyone who is either curious o... | John is old. | neutral | (![X]:((quiet(X)<~>~old(X))<=>tall(X)))&
((~calm(john))<=>(?[X]:(creative(X))))&
(![X]:((kind(X)|curious(X))<=>(~old(X)<~>funny(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~strong(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(curious(X)<=>(funny(X)|strong(X))))&
(![X]:(~wise(X)<=>(... | old(john) | [] | null | 0 |
Everyone who is both not patient and happy is either not funny or brave and vice versa.
Everyone who is curious or humble is either not brave or patient and vice versa.
If someone is not calm then someone is not generous and vice versa.
If mary is funny or not strong then lucy is not happy and vice versa.
Everyone who ... | Lucy is not old. | entailment | (![X]:((~patient(X)&happy(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((curious(X)|humble(X))<=>(~brave(X)<~>patient(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~generous(X))))&
(((funny(mary)|~strong(mary)))<=>(~happy(lucy)))&
(![X]:((~calm(X)|~happy(X))<=>(~old(X)|~kind(X))))&
((brave(fred))=>((~old(john)|brave(john))))&
(![X]:(~ki... | ~old(lucy) | [
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6809876846925984875963019
% SZS output start Proof for 6809876846925984875963019
7. ! [X0] : (~kind(X0) <=> (~funny(X0) <~> kind(X0))) [input p6]
8. ! [X0] : ((old(X0) | ~funny(X0)) <=> (brave(X0) & happy(X0))) [input p7]
9. ? [X0] : (~happy(X0) & ~rich(X0)) <=> ? [X0] : (old(X0) <~> humb... | 0 |
Everyone who is either wise or generous is both curious and not generous and vice versa.
Everyone who is either curious or not wise is not brave or quiet and vice versa.
Everyone who is wise or kind is either not humble or not brave and vice versa.
Everyone who is happy or not patient is either not tall or not strong.
... | Mary is tall. | entailment | (![X]:((wise(X)<~>generous(X))<=>(curious(X)&~generous(X))))&
(![X]:((curious(X)<~>~wise(X))<=>(~brave(X)|quiet(X))))&
(![X]:((wise(X)|kind(X))<=>(~humble(X)<~>~brave(X))))&
(![X]:((happy(X)|~patient(X))=>(~tall(X)<~>~strong(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~generous(X)|~patient(X)))))&
((?[X]:((~generous(X)|~humble... | tall(mary) | [
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3681910428303272327355547
% SZS output start Proof for 3681910428303272327355547
10. ! [X0] : ((old(X0) | creative(X0)) => (~creative(X0) <~> ~calm(X0))) [input p9]
11. ? [X0] : (~creative(X0) <~> tall(X0)) => (old(paul) & creative(paul)) [input p10]
13. ! [X0] : (~calm(X0) => (calm(X0) &... | 0 |
Everyone who is rich is either not patient or not rich.
Everyone who is not brave is both humble and strong and vice versa.
Everyone who is both not humble and not tall is either not strong or not wise and vice versa.
Everyone who is quiet or not quiet is both not quiet and creative and vice versa.
Everyone who is both... | Alice is curious. | neutral | (![X]:(rich(X)=>(~patient(X)<~>~rich(X))))&
(![X]:(~brave(X)<=>(humble(X)&strong(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~strong(X)<~>~wise(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~quiet(X)&creative(X))))&
(![X]:((~quiet(X)&~kind(X))=>(funny(X)&~kind(X))))&
(![X]:(~creative(X)=>rich(X)))&
(![X]:((brave(X)&strong(X))<=>~cr... | curious(alice) | [] | null | 0 |
Everyone who is not brave or wise is both not strong and not funny and vice versa. Everyone who is not tall is both tall and not old. If someone is either not old or not curious then mary is not quiet or not strong. If john is both humble and not wise then paul is either kind or curious. Everyone who is not funny is ei... | Alice is happy. | contradiction | (![X]:((~brave(X)|wise(X))<=>(~strong(X)&~funny(X))))&
(![X]:(~tall(X)=>(tall(X)&~old(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>((~quiet(mary)|~strong(mary))))&
(((humble(john)&~wise(john)))=>((kind(paul)<~>curious(paul))))&
(![X]:(~funny(X)=>(happy(X)<~>~old(X))))&
(![X]:((~patient(X)<~>calm(X))=>(~creative(X)<~>~wise... | happy(alice) | [
"p0",
"p1",
"p4",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3120513964852185775124117
% SZS output start Proof for 3120513964852185775124117
1. ! [X0] : ((wise(X0) | ~brave(X0)) <=> (~funny(X0) & ~strong(X0))) [input p0]
2. ! [X0] : (~tall(X0) => (~old(X0) & tall(X0))) [input p1]
5. ! [X0] : (~funny(X0) => (happy(X0) <~> ~old(X0))) [input p4]
7. ?... | 0 |
If someone is creative then someone is not funny.
Everyone who is brave is not humble and vice versa.
Everyone who is creative or kind is not funny or not calm.
If someone is creative or not generous then someone is wise.
Everyone who is both not brave and not curious is generous and vice versa.
Everyone who is both st... | Alice is generous. | contradiction | ((?[X]:(creative(X)))=>(?[X]:(~funny(X))))&
(![X]:(brave(X)<=>~humble(X)))&
(![X]:((creative(X)|kind(X))=>(~funny(X)|~calm(X))))&
((?[X]:((creative(X)|~generous(X))))=>(?[X]:(wise(X))))&
(![X]:((~brave(X)&~curious(X))<=>generous(X)))&
(![X]:((strong(X)&humble(X))<=>(~tall(X)|curious(X))))&
(![X]:((~patient(X)<~>curious... | generous(alice) | [
"p1",
"p4",
"p5",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8970196112379434922488527
% SZS output start Proof for 8970196112379434922488527
2. ! [X0] : (brave(X0) <=> ~humble(X0)) [input p1]
5. ! [X0] : ((~curious(X0) & ~brave(X0)) <=> generous(X0)) [input p4]
6. ! [X0] : ((humble(X0) & strong(X0)) <=> (curious(X0) | ~tall(X0))) [input p5]
14. ! ... | 0 |
Everyone who is either tall or humble is either not brave or curious.
If someone is either patient or not kind then mary is either curious or calm and vice versa.
Everyone who is either not funny or not brave is either happy or strong and vice versa.
If someone is kind or calm then john is either rich or curious.
If so... | Mary is not funny. | entailment | (![X]:((tall(X)<~>humble(X))=>(~brave(X)<~>curious(X))))&
((?[X]:((patient(X)<~>~kind(X))))<=>((curious(mary)<~>calm(mary))))&
(![X]:((~funny(X)<~>~brave(X))<=>(happy(X)<~>strong(X))))&
((?[X]:((kind(X)|calm(X))))=>((rich(john)<~>curious(john))))&
((?[X]:((tall(X)|kind(X))))=>(~creative(alice)))&
(((~creative(paul)&qui... | ~funny(mary) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3988013242508600361879316
% SZS output start Proof for 3988013242508600361879316
5. ? [X0] : (kind(X0) | tall(X0)) => ~creative(alice) [input p4]
8. ! [X0] : (~strong(X0) <=> (strong(X0) | creative(X0))) [input p7]
10. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (funny(X0) & ~kind(X0))) [inpu... | 0 |
If susan is either curious or happy then someone is both not quiet and humble and vice versa. If paul is creative then lucy is both strong and not rich. Everyone who is not curious or humble is both not tall and not old and vice versa. If someone is both patient and not tall then someone is both not rich and not quiet.... | Paul is quiet. | contradiction | (((curious(susan)<~>happy(susan)))<=>(?[X]:((~quiet(X)&humble(X)))))&
((creative(paul))=>((strong(lucy)&~rich(lucy))))&
(![X]:((~curious(X)|humble(X))<=>(~tall(X)&~old(X))))&
((?[X]:((patient(X)&~tall(X))))=>(?[X]:((~rich(X)&~quiet(X)))))&
(![X]:(~humble(X)=>~rich(X)))&
((?[X]:((kind(X)|strong(X))))<=>((funny(paul)<~>~... | quiet(paul) | [
"p2",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3238388870575314393136994
% SZS output start Proof for 3238388870575314393136994
3. ! [X0] : ((humble(X0) | ~curious(X0)) <=> (~old(X0) & ~tall(X0))) [input p2]
14. ! [X0] : (humble(X0) <=> (quiet(X0) | wise(X0))) [input p13]
21. tall(paul) & ~wise(paul) [input p20]
25. quiet(paul) [input... | 0 |
Everyone who is curious or tall is quiet and vice versa.
Everyone who is old or strong is either funny or humble and vice versa.
If mary is curious then someone is either tall or creative.
Everyone who is tall is not calm or not old.
If someone is calm then fred is creative or patient.
If someone is not generous or not... | Fred is creative. | entailment | (![X]:((curious(X)|tall(X))<=>quiet(X)))&
(![X]:((old(X)|strong(X))<=>(funny(X)<~>humble(X))))&
((curious(mary))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:(tall(X)=>(~calm(X)|~old(X))))&
((?[X]:(calm(X)))=>((creative(fred)|patient(fred))))&
((?[X]:((~generous(X)|~curious(X))))<=>((quiet(fred)<~>strong(fred))))&
(((~wis... | creative(fred) | [
"p4",
"p8",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 550435861219537030869637
% SZS output start Proof for 550435861219537030869637
5. ? [X0] : calm(X0) => (patient(fred) | creative(fred)) [input p4]
9. ! [X0] : (~tall(X0) <=> (funny(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((~patient(X0) <~> ~kind(X0)) => rich(X0)) [input p9]
12. ! [X0] ... | 0 |
If john is both not kind and quiet then fred is not quiet or not humble. If fred is both strong and old then john is both funny and patient. Everyone who is both brave and calm is not funny or humble. Everyone who is strong is either not creative or not strong and vice versa. Everyone who is both old and not curious is... | Fred is strong. | entailment | (((~kind(john)&quiet(john)))=>((~quiet(fred)|~humble(fred))))&
(((strong(fred)&old(fred)))=>((funny(john)&patient(john))))&
(![X]:((brave(X)&calm(X))=>(~funny(X)|humble(X))))&
(![X]:(strong(X)<=>(~creative(X)<~>~strong(X))))&
(![X]:((old(X)&~curious(X))=>(~old(X)<~>wise(X))))&
(((kind(mary)<~>~tall(mary)))<=>((generous... | strong(fred) | [
"p3",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 439949692969367873774078
% SZS output start Proof for 439949692969367873774078
4. ! [X0] : (strong(X0) <=> (~creative(X0) <~> ~strong(X0))) [input p3]
9. ! [X0] : ((~wise(X0) | ~generous(X0)) <=> creative(X0)) [input p8]
10. ! [X0] : ((~curious(X0) <~> ~generous(X0)) => creative(X0)) [inp... | 0 |
Everyone who is generous is both not happy and not patient and vice versa.
If someone is either wise or not quiet then fred is both tall and calm and vice versa.
If alice is either not quiet or not old then someone is both rich and not calm and vice versa.
Everyone who is both curious and not humble is either kind or n... | Alice is not wise. | neutral | (![X]:(generous(X)<=>(~happy(X)&~patient(X))))&
((?[X]:((wise(X)<~>~quiet(X))))<=>((tall(fred)&calm(fred))))&
(((~quiet(alice)<~>~old(alice)))<=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:((curious(X)&~humble(X))<=>(kind(X)<~>~happy(X))))&
(![X]:((~kind(X)|tall(X))<=>(humble(X)|~rich(X))))&
((?[X]:(~brave(X)))<=>((~rich(paul)... | ~wise(alice) | [] | null | 0 |
Everyone who is either happy or kind is old or rich. Everyone who is both not kind and old is creative or humble and vice versa. Everyone who is strong is either creative or old. Everyone who is both rich and not calm is both not brave and funny and vice versa. Everyone who is either not humble or old is either not bra... | Fred is kind. | neutral | (![X]:((happy(X)<~>kind(X))=>(old(X)|rich(X))))&
(![X]:((~kind(X)&old(X))<=>(creative(X)|humble(X))))&
(![X]:(strong(X)=>(creative(X)<~>old(X))))&
(![X]:((rich(X)&~calm(X))<=>(~brave(X)&funny(X))))&
(![X]:((~humble(X)<~>old(X))=>(~brave(X)<~>humble(X))))&
((?[X]:((~creative(X)|quiet(X))))=>(?[X]:((wise(X)<~>patient(X))... | kind(fred) | [] | null | 0 |
If mary is either not curious or strong then someone is both calm and not kind and vice versa.
If fred is not wise or not patient then someone is both not funny and not happy and vice versa.
If someone is both not wise and calm then someone is both not calm and tall and vice versa.
Everyone who is old or not old is bot... | Alice is patient. | entailment | (((~curious(mary)<~>strong(mary)))<=>(?[X]:((calm(X)&~kind(X)))))&
(((~wise(fred)|~patient(fred)))<=>(?[X]:((~funny(X)&~happy(X)))))&
((?[X]:((~wise(X)&calm(X))))<=>(?[X]:((~calm(X)&tall(X)))))&
(![X]:((old(X)|~old(X))<=>(patient(X)&old(X))))&
(((wise(susan)<~>curious(susan)))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:(... | patient(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5847540647313298098614830
% SZS output start Proof for 5847540647313298098614830
4. ! [X0] : ((~old(X0) | old(X0)) <=> (old(X0) & patient(X0))) [input p3]
24. ~patient(alice) [input hypothesis]
49. ! [X0] : (((~old(X0) | old(X0)) | (~old(X0) | ~patient(X0))) & ((old(X0) & patient(X0)) | (... | 0 |
If someone is both quiet and not tall then fred is both not curious and not strong.
If someone is not happy or brave then someone is either not brave or not curious.
Everyone who is either happy or not brave is not strong.
Everyone who is not funny or rich is not kind or strong.
If lucy is either funny or not creative ... | Lucy is not quiet. | neutral | ((?[X]:((quiet(X)&~tall(X))))=>((~curious(fred)&~strong(fred))))&
((?[X]:((~happy(X)|brave(X))))=>(?[X]:((~brave(X)<~>~curious(X)))))&
(![X]:((happy(X)<~>~brave(X))=>~strong(X)))&
(![X]:((~funny(X)|rich(X))=>(~kind(X)|strong(X))))&
(((funny(lucy)<~>~creative(lucy)))<=>(rich(lucy)))&
(![X]:((~brave(X)|~rich(X))=>(creati... | ~quiet(lucy) | [] | null | 0 |
Everyone who is old is funny and vice versa.
Everyone who is either not humble or humble is either not patient or kind and vice versa.
Everyone who is tall or not tall is either not wise or curious and vice versa.
If paul is either generous or not rich then fred is patient and vice versa.
If alice is both not wise and ... | Fred is not quiet. | entailment | (![X]:(old(X)<=>funny(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(~patient(X)<~>kind(X))))&
(![X]:((tall(X)|~tall(X))<=>(~wise(X)<~>curious(X))))&
(((generous(paul)<~>~rich(paul)))<=>(patient(fred)))&
(((~wise(alice)&~patient(alice)))=>(?[X]:((~happy(X)|~curious(X)))))&
(![X]:((~generous(X)<~>~strong(X))<=>(strong(X)|~tal... | ~quiet(fred) | [
"p0",
"p1",
"p5",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1411169567979265784448341
% SZS output start Proof for 1411169567979265784448341
1. ! [X0] : (old(X0) <=> funny(X0)) [input p0]
2. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~patient(X0) <~> kind(X0))) [input p1]
6. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (~tall(X0) | strong(X0))) ... | 0 |
Everyone who is not wise is either quiet or not creative.
Everyone who is brave is either not curious or creative and vice versa.
Everyone who is not patient is rich or not creative and vice versa.
If fred is either quiet or not brave then someone is either not strong or not brave.
Everyone who is quiet or old is eithe... | Fred is strong. | entailment | (![X]:(~wise(X)=>(quiet(X)<~>~creative(X))))&
(![X]:(brave(X)<=>(~curious(X)<~>creative(X))))&
(![X]:(~patient(X)<=>(rich(X)|~creative(X))))&
(((quiet(fred)<~>~brave(fred)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((quiet(X)|old(X))=>(curious(X)<~>~old(X))))&
(![X]:((~funny(X)&humble(X))=>(~brave(X)|~happy(X))))&
(!... | strong(fred) | [
"p2",
"p6",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2330926809446860555808161
% SZS output start Proof for 2330926809446860555808161
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | rich(X0))) [input p2]
7. ! [X0] : ((patient(X0) | strong(X0)) => generous(X0)) [input p6]
8. ! [X0] : (~strong(X0) => (~generous(X0) & ~humble(X0))) [input p7]
1... | 0 |
Everyone who is tall or rich is either rich or patient. Everyone who is funny is not patient or wise. If someone is funny or not quiet then someone is generous and vice versa. If someone is either not wise or old then someone is not creative or not quiet and vice versa. If someone is both wise and not generous then luc... | Fred is funny. | contradiction | (![X]:((tall(X)|rich(X))=>(rich(X)<~>patient(X))))&
(![X]:(funny(X)=>(~patient(X)|wise(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>(?[X]:(generous(X))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:((~creative(X)|~quiet(X)))))&
((?[X]:((wise(X)&~generous(X))))=>((funny(lucy)|happy(lucy))))&
((?[X]:((~brave(X)&quiet(X))))<=>(happ... | funny(fred) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4738265901367422809186937
% SZS output start Proof for 4738265901367422809186937
3. ? [X0] : (~quiet(X0) | funny(X0)) <=> ? [X0] : generous(X0) [input p2]
8. ! [X0] : ((generous(X0) | ~humble(X0)) => (~generous(X0) & tall(X0))) [input p7]
24. funny(fred) [input hypothesis]
25. ? [X0] : (~... | 0 |
If fred is both happy and not wise then paul is humble.
If alice is either not brave or not funny then someone is not quiet.
If someone is either calm or wise then someone is not brave or curious and vice versa.
Everyone who is both not kind and not strong is both calm and quiet and vice versa.
Everyone who is not tall... | Fred is tall. | neutral | (((happy(fred)&~wise(fred)))=>(humble(paul)))&
(((~brave(alice)<~>~funny(alice)))=>(?[X]:(~quiet(X))))&
((?[X]:((calm(X)<~>wise(X))))<=>(?[X]:((~brave(X)|curious(X)))))&
(![X]:((~kind(X)&~strong(X))<=>(calm(X)&quiet(X))))&
(![X]:(~tall(X)=>(humble(X)|~brave(X))))&
(![X]:((humble(X)&strong(X))=>(patient(X)|~quiet(X))))&... | tall(fred) | [] | null | 0 |
If paul is both not brave and not quiet then john is either curious or not old and vice versa. If someone is humble then susan is both calm and strong and vice versa. If paul is quiet or not old then mary is old and vice versa. If someone is either not brave or calm then mary is either not happy or brave and vice versa... | Susan is not generous. | entailment | (((~brave(paul)&~quiet(paul)))<=>((curious(john)<~>~old(john))))&
((?[X]:(humble(X)))<=>((calm(susan)&strong(susan))))&
(((quiet(paul)|~old(paul)))<=>(old(mary)))&
((?[X]:((~brave(X)<~>calm(X))))<=>((~happy(mary)<~>brave(mary))))&
(![X]:(~brave(X)<=>kind(X)))&
(((humble(john)|~patient(john)))<=>(?[X]:((~generous(X)<~>~... | ~generous(susan) | [
"p7",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6419752050548656865695019
% SZS output start Proof for 6419752050548656865695019
8. ? [X0] : happy(X0) => ? [X0] : ~strong(X0) [input p7]
9. ! [X0] : ((~tall(X0) | rich(X0)) <=> (~creative(X0) & curious(X0))) [input p8]
10. ! [X0] : ((~strong(X0) | ~humble(X0)) <=> strong(X0)) [input p9]
... | 0 |
Everyone who is funny or not happy is either not happy or not curious.
If someone is either rich or not brave then someone is curious or strong.
Everyone who is not humble is both not humble and happy and vice versa.
If someone is either not humble or curious then susan is both not curious and humble.
Everyone who is s... | John is not humble. | neutral | (![X]:((funny(X)|~happy(X))=>(~happy(X)<~>~curious(X))))&
((?[X]:((rich(X)<~>~brave(X))))=>(?[X]:((curious(X)|strong(X)))))&
(![X]:(~humble(X)<=>(~humble(X)&happy(X))))&
((?[X]:((~humble(X)<~>curious(X))))=>((~curious(susan)&humble(susan))))&
(![X]:(strong(X)<=>tall(X)))&
(![X]:((~humble(X)|calm(X))<=>(brave(X)<~>quiet... | ~humble(john) | [] | null | 0 |
If fred is either not funny or not tall then mary is either not brave or happy and vice versa. Everyone who is either creative or happy is not patient or not quiet. If someone is either not tall or creative then someone is quiet and vice versa. If alice is either not quiet or not generous then mary is either curious or... | John is not patient. | neutral | (((~funny(fred)<~>~tall(fred)))<=>((~brave(mary)<~>happy(mary))))&
(![X]:((creative(X)<~>happy(X))=>(~patient(X)|~quiet(X))))&
((?[X]:((~tall(X)<~>creative(X))))<=>(?[X]:(quiet(X))))&
(((~quiet(alice)<~>~generous(alice)))=>((curious(mary)<~>patient(mary))))&
(![X]:((old(X)&~calm(X))<=>old(X)))&
(![X]:((rich(X)&~funny(X... | ~patient(john) | [] | null | 0 |
Everyone who is both rich and not creative is not quiet or not old and vice versa.
If susan is both happy and not kind then lucy is patient or rich and vice versa.
Everyone who is not tall or not quiet is both not kind and old.
Everyone who is both patient and wise is curious.
Everyone who is either not creative or not... | Paul is funny. | entailment | (![X]:((rich(X)&~creative(X))<=>(~quiet(X)|~old(X))))&
(((happy(susan)&~kind(susan)))<=>((patient(lucy)|rich(lucy))))&
(![X]:((~tall(X)|~quiet(X))=>(~kind(X)&old(X))))&
(![X]:((patient(X)&wise(X))=>curious(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>~strong(X)))&
(![X]:((happy(X)<~>funny(X))=>~generous(X)))&
(![X]:((~humb... | funny(paul) | [
"p10",
"p11",
"p14",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4557433226909852092274527
% SZS output start Proof for 4557433226909852092274527
11. ! [X0] : (~funny(X0) <=> tall(X0)) [input p10]
12. (~tall(paul) | patient(paul)) <=> ? [X0] : (~wise(X0) | humble(X0)) [input p11]
15. ! [X0] : ((~humble(X0) | kind(X0)) => funny(X0)) [input p14]
18. ~pat... | 0 |
Everyone who is not generous or kind is not strong or not humble and vice versa.
If someone is either not rich or brave then someone is either creative or happy and vice versa.
If paul is not calm then someone is creative or old and vice versa.
Everyone who is not quiet is wise or old and vice versa.
Everyone who is ki... | Alice is not brave. | contradiction | (![X]:((~generous(X)|kind(X))<=>(~strong(X)|~humble(X))))&
((?[X]:((~rich(X)<~>brave(X))))<=>(?[X]:((creative(X)<~>happy(X)))))&
((~calm(paul))<=>(?[X]:((creative(X)|old(X)))))&
(![X]:(~quiet(X)<=>(wise(X)|old(X))))&
(![X]:(kind(X)<=>(~strong(X)|happy(X))))&
(![X]:((~tall(X)|strong(X))<=>(generous(X)<~>~wise(X))))&
(((... | ~brave(alice) | [
"p9",
"p13",
"p15",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 376940139920477434719657
% SZS output start Proof for 376940139920477434719657
10. ? [X0] : (quiet(X0) | curious(X0)) => (strong(alice) & happy(alice)) [input p9]
14. ! [X0] : (~curious(X0) <=> ~strong(X0)) [input p13]
16. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (~brave(X0) <~> wise(X0)... | 0 |
Everyone who is not funny or tall is both brave and not generous and vice versa. Everyone who is both not rich and quiet is both not creative and funny and vice versa. If alice is not humble or not old then fred is either not strong or rich. If alice is both kind and funny then paul is generous. If someone is either no... | John is not patient. | neutral | (![X]:((~funny(X)|tall(X))<=>(brave(X)&~generous(X))))&
(![X]:((~rich(X)&quiet(X))<=>(~creative(X)&funny(X))))&
(((~humble(alice)|~old(alice)))=>((~strong(fred)<~>rich(fred))))&
(((kind(alice)&funny(alice)))=>(generous(paul)))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~humble(alice)<~>wise(alice))))&
(![X]:((~brave(X)&str... | ~patient(john) | [] | null | 0 |
If alice is both creative and tall then someone is funny and vice versa. If someone is both not curious and not tall then someone is either curious or not old and vice versa. Everyone who is not tall or not brave is both kind and curious. Everyone who is tall or happy is not brave or humble. If alice is not patient the... | Alice is not generous. | neutral | (((creative(alice)&tall(alice)))<=>(?[X]:(funny(X))))&
((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((~tall(X)|~brave(X))=>(kind(X)&curious(X))))&
(![X]:((tall(X)|happy(X))=>(~brave(X)|humble(X))))&
((~patient(alice))<=>((~creative(mary)<~>brave(mary))))&
(![X]:((~strong(X)|~wise(X))<=>(ca... | ~generous(alice) | [] | null | 0 |
Everyone who is either not wise or old is both brave and strong.
Everyone who is both not old and humble is kind or not rich and vice versa.
Everyone who is not wise is not brave and vice versa.
Everyone who is both wise and not old is both not quiet and not tall and vice versa.
Everyone who is not calm is not patient ... | John is humble. | contradiction | (![X]:((~wise(X)<~>old(X))=>(brave(X)&strong(X))))&
(![X]:((~old(X)&humble(X))<=>(kind(X)|~rich(X))))&
(![X]:(~wise(X)<=>~brave(X)))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&~tall(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(![X]:(generous(X)=>(~patient(X)&~tall(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~humble(X))))&
(![X]:((~curi... | humble(john) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 788981385653385556550519
% SZS output start Proof for 788981385653385556550519
1. ! [X0] : ((~wise(X0) <~> old(X0)) => (strong(X0) & brave(X0))) [input p0]
2. ! [X0] : ((humble(X0) & ~old(X0)) <=> (~rich(X0) | kind(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> ~brave(X0)) [input p2]
4. ! [X... | 0 |
Everyone who is either rich or creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is bot... | Susan is not tall. | neutral | (![X]:((rich(X)<~>creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(stro... | ~tall(susan) | [] | null | 0 |
Everyone who is patient is tall or not strong.
Everyone who is not creative is either brave or not old and vice versa.
If someone is brave then someone is not brave and vice versa.
If someone is wise then fred is old and vice versa.
If someone is patient or not old then someone is not generous and vice versa.
If alice ... | Mary is not generous. | neutral | (![X]:(patient(X)=>(tall(X)|~strong(X))))&
(![X]:(~creative(X)<=>(brave(X)<~>~old(X))))&
((?[X]:(brave(X)))<=>(?[X]:(~brave(X))))&
((?[X]:(wise(X)))<=>(old(fred)))&
((?[X]:((patient(X)|~old(X))))<=>(?[X]:(~generous(X))))&
(((~curious(alice)&strong(alice)))<=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~quiet(X)|~strong... | ~generous(mary) | [] | null | 0 |
Everyone who is funny is both rich and not old and vice versa. Everyone who is both calm and old is either not strong or old. If paul is both not happy and strong then fred is both generous and not calm and vice versa. If paul is either not funny or wise then alice is either not tall or creative. Everyone who is both g... | Susan is not kind. | entailment | (![X]:(funny(X)<=>(rich(X)&~old(X))))&
(![X]:((calm(X)&old(X))=>(~strong(X)<~>old(X))))&
(((~happy(paul)&strong(paul)))<=>((generous(fred)&~calm(fred))))&
(((~funny(paul)<~>wise(paul)))=>((~tall(alice)<~>creative(alice))))&
(![X]:((generous(X)&brave(X))=>~calm(X)))&
((?[X]:((curious(X)&~old(X))))<=>((patient(lucy)&~pat... | ~kind(susan) | [
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2607820314744791943572635
% SZS output start Proof for 2607820314744791943572635
10. ! [X0] : ((old(X0) | happy(X0)) => (~patient(X0) & ~strong(X0))) [input p9]
15. ! [X0] : (~old(X0) => ~kind(X0)) [input p14]
19. ~funny(susan) & strong(susan) [input p18]
25. kind(susan) [input hypothesis... | 0 |
If someone is both not curious and not quiet then susan is either not kind or not wise and vice versa.
Everyone who is both creative and humble is both not quiet and not funny.
Everyone who is both curious and not curious is brave or not old.
Everyone who is not strong is both kind and generous.
If someone is both funn... | Mary is not calm. | entailment | ((?[X]:((~curious(X)&~quiet(X))))<=>((~kind(susan)<~>~wise(susan))))&
(![X]:((creative(X)&humble(X))=>(~quiet(X)&~funny(X))))&
(![X]:((curious(X)&~curious(X))=>(brave(X)|~old(X))))&
(![X]:(~strong(X)=>(kind(X)&generous(X))))&
((?[X]:((funny(X)&~strong(X))))=>((~kind(lucy)<~>tall(lucy))))&
((?[X]:(quiet(X)))=>((funny(ma... | ~calm(mary) | [
"p5",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1522916713728899311534316
% SZS output start Proof for 1522916713728899311534316
6. ? [X0] : quiet(X0) => (~calm(mary) & funny(mary)) [input p5]
13. ! [X0] : ((~patient(X0) & quiet(X0)) <=> (~kind(X0) | ~strong(X0))) [input p12]
17. ~strong(paul) & calm(paul) [input p16]
25. calm(mary) [i... | 0 |
If someone is either calm or patient then someone is both happy and humble and vice versa. If someone is strong or curious then paul is both patient and rich and vice versa. If someone is old or funny then someone is both not curious and funny and vice versa. Everyone who is rich or not curious is both curious and not ... | Lucy is funny. | contradiction | ((?[X]:((calm(X)<~>patient(X))))<=>(?[X]:((happy(X)&humble(X)))))&
((?[X]:((strong(X)|curious(X))))<=>((patient(paul)&rich(paul))))&
((?[X]:((old(X)|funny(X))))<=>(?[X]:((~curious(X)&funny(X)))))&
(![X]:((rich(X)|~curious(X))=>(curious(X)&~generous(X))))&
(![X]:(quiet(X)=>(~wise(X)&funny(X))))&
(![X]:(happy(X)=>(~humbl... | funny(lucy) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 465334414300575556163579
% SZS output start Proof for 465334414300575556163579
3. ? [X0] : (funny(X0) | old(X0)) <=> ? [X0] : (funny(X0) & ~curious(X0)) [input p2]
4. ! [X0] : ((~curious(X0) | rich(X0)) => (~generous(X0) & curious(X0))) [input p3]
24. funny(lucy) [input hypothesis]
26. ? ... | 0 |
If someone is generous or patient then someone is both not quiet and not brave.
Everyone who is both not happy and happy is both not patient and curious and vice versa.
Everyone who is kind or not quiet is both not creative and not humble and vice versa.
Everyone who is happy is both not strong and rich.
If someone is ... | Alice is curious. | contradiction | ((?[X]:((generous(X)|patient(X))))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~happy(X)&happy(X))<=>(~patient(X)&curious(X))))&
(![X]:((kind(X)|~quiet(X))<=>(~creative(X)&~humble(X))))&
(![X]:(happy(X)=>(~strong(X)&rich(X))))&
((?[X]:((brave(X)<~>~humble(X))))<=>(?[X]:((old(X)&curious(X)))))&
((?[X]:((humble(X)<~>~calm(... | curious(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2960871371165521014845446
% SZS output start Proof for 2960871371165521014845446
1. ? [X0] : (patient(X0) | generous(X0)) => ? [X0] : (~brave(X0) & ~quiet(X0)) [input p0]
2. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (curious(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | kind(X0)... | 0 |
If susan is not curious then alice is old or calm.
If susan is not patient or tall then susan is both not humble and not kind.
If someone is wise then john is both not generous and not creative.
Everyone who is not generous is happy.
Everyone who is either not humble or wise is humble.
If someone is either not calm or ... | Alice is wise. | contradiction | ((~curious(susan))=>((old(alice)|calm(alice))))&
(((~patient(susan)|tall(susan)))=>((~humble(susan)&~kind(susan))))&
((?[X]:(wise(X)))=>((~generous(john)&~creative(john))))&
(![X]:(~generous(X)=>happy(X)))&
(![X]:((~humble(X)<~>wise(X))=>humble(X)))&
((?[X]:((~calm(X)<~>patient(X))))<=>((~strong(john)|~happy(john))))&
... | wise(alice) | [
"p2",
"p3",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7264996081841251602593017
% SZS output start Proof for 7264996081841251602593017
3. ? [X0] : wise(X0) => (~creative(john) & ~generous(john)) [input p2]
4. ! [X0] : (~generous(X0) => happy(X0)) [input p3]
8. ! [X0] : ((kind(X0) & tall(X0)) <=> (~patient(X0) & ~generous(X0))) [input p7]
10.... | 0 |
Everyone who is both not wise and quiet is not funny and vice versa. Everyone who is generous or calm is both funny and not old. If susan is either wise or kind then john is either not strong or quiet. If mary is both not generous and not calm then lucy is not old or not strong. Everyone who is wise is either not stron... | Mary is not quiet. | neutral | (![X]:((~wise(X)&quiet(X))<=>~funny(X)))&
(![X]:((generous(X)|calm(X))=>(funny(X)&~old(X))))&
(((wise(susan)<~>kind(susan)))=>((~strong(john)<~>quiet(john))))&
(((~generous(mary)&~calm(mary)))=>((~old(lucy)|~strong(lucy))))&
(![X]:(wise(X)=>(~strong(X)<~>curious(X))))&
((?[X]:((old(X)<~>~old(X))))<=>(?[X]:((~curious(X)... | ~quiet(mary) | [] | null | 0 |
Everyone who is either tall or rich is both patient and not rich and vice versa.
Everyone who is humble or not rich is not kind and vice versa.
If john is wise or not humble then lucy is either not brave or calm.
If someone is not patient then susan is funny and vice versa.
Everyone who is brave or humble is both humbl... | Lucy is not funny. | neutral | (![X]:((tall(X)<~>rich(X))<=>(patient(X)&~rich(X))))&
(![X]:((humble(X)|~rich(X))<=>~kind(X)))&
(((wise(john)|~humble(john)))=>((~brave(lucy)<~>calm(lucy))))&
((?[X]:(~patient(X)))<=>(funny(susan)))&
(![X]:((brave(X)|humble(X))<=>(humble(X)&~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>~calm(X)))&
(![X]:(generous(X)<... | ~funny(lucy) | [] | null | 0 |
Everyone who is both not creative and not old is either wise or happy.
Everyone who is not strong is either not happy or kind.
Everyone who is not happy is both not rich and not happy and vice versa.
If fred is either funny or happy then alice is not rich.
Everyone who is not curious or not tall is not happy or not old... | Lucy is tall. | neutral | (![X]:((~creative(X)&~old(X))=>(wise(X)<~>happy(X))))&
(![X]:(~strong(X)=>(~happy(X)<~>kind(X))))&
(![X]:(~happy(X)<=>(~rich(X)&~happy(X))))&
(((funny(fred)<~>happy(fred)))=>(~rich(alice)))&
(![X]:((~curious(X)|~tall(X))=>(~happy(X)|~old(X))))&
(((quiet(fred)<~>funny(fred)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:((... | tall(lucy) | [] | null | 0 |
If alice is not brave then someone is not quiet and vice versa.
Everyone who is both not quiet and not rich is not calm or patient and vice versa.
Everyone who is both not old and not wise is not funny or patient and vice versa.
Everyone who is either not old or quiet is not tall and vice versa.
Everyone who is not ric... | Alice is not old. | entailment | ((~brave(alice))<=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)&~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~old(X)&~wise(X))<=>(~funny(X)|patient(X))))&
(![X]:((~old(X)<~>quiet(X))<=>~tall(X)))&
(![X]:((~rich(X)|~happy(X))=>(calm(X)&~humble(X))))&
((?[X]:((generous(X)&tall(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:(stron... | ~old(alice) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4085906861949640296852233
% SZS output start Proof for 4085906861949640296852233
2. ! [X0] : ((~rich(X0) & ~quiet(X0)) <=> (patient(X0) | ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & ~old(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> ~tall(X... | 0 |
If someone is generous then mary is brave or not rich and vice versa. If someone is both not brave and humble then someone is not strong or not humble. Everyone who is either patient or creative is both old and quiet. Everyone who is both not happy and generous is not calm and vice versa. Everyone who is not strong is ... | Mary is rich. | entailment | ((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient(X)<~>creative(X))=>(old(X)&quiet(X))))&
(![X]:((~happy(X)&generous(X))<=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&... | rich(mary) | [
"p0",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8236820107253291191230779
% SZS output start Proof for 8236820107253291191230779
1. ? [X0] : generous(X0) <=> (~rich(mary) | brave(mary)) [input p0]
6. ! [X0] : ((old(X0) | kind(X0)) <=> quiet(X0)) [input p5]
8. ! [X0] : ((generous(X0) | funny(X0)) => ~quiet(X0)) [input p7]
15. (rich(mary... | 0 |
If mary is not happy or quiet then paul is either humble or not strong and vice versa.
If susan is strong or not strong then someone is either tall or generous and vice versa.
If someone is both generous and not old then susan is kind.
If someone is not generous then someone is either generous or creative.
If lucy is t... | Lucy is rich. | entailment | (((~happy(mary)|quiet(mary)))<=>((humble(paul)<~>~strong(paul))))&
(((strong(susan)|~strong(susan)))<=>(?[X]:((tall(X)<~>generous(X)))))&
((?[X]:((generous(X)&~old(X))))=>(kind(susan)))&
((?[X]:(~generous(X)))=>(?[X]:((generous(X)<~>creative(X)))))&
((tall(lucy))<=>(?[X]:((~brave(X)&funny(X)))))&
(![X]:((~funny(X)|quie... | rich(lucy) | [
"p7",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6952772922485136925446261
% SZS output start Proof for 6952772922485136925446261
8. ! [X0] : ((creative(X0) <~> ~brave(X0)) => (rich(X0) & quiet(X0))) [input p7]
13. ! [X0] : ((~rich(X0) | wise(X0)) => (~creative(X0) & ~old(X0))) [input p12]
15. ! [X0] : ((brave(X0) | ~old(X0)) => (brave(... | 0 |
If someone is not funny then lucy is either not calm or generous and vice versa.
Everyone who is not brave or humble is old or wise and vice versa.
If someone is either not happy or tall then someone is both not curious and patient.
If someone is not patient then alice is rich and vice versa.
Everyone who is not patien... | Lucy is not happy. | neutral | ((?[X]:(~funny(X)))<=>((~calm(lucy)<~>generous(lucy))))&
(![X]:((~brave(X)|humble(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((~patient(X)|~calm(X))<=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&quiet(X))))<=>((patient(mary)... | ~happy(lucy) | [] | null | 0 |
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