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 paul is either generous or not quiet then someone is wise.
Everyone who is not old is both not brave and not patient.
Everyone who is curious or not funny is wise.
If fred is either creative or wise then susan is not old.
If someone is both not patient and not kind then mary is either creative or not rich.
If someon... | Mary is funny. | entailment | (((generous(paul)<~>~quiet(paul)))=>(?[X]:(wise(X))))&
(![X]:(~old(X)=>(~brave(X)&~patient(X))))&
(![X]:((curious(X)|~funny(X))=>wise(X)))&
(((creative(fred)<~>wise(fred)))=>(~old(susan)))&
((?[X]:((~patient(X)&~kind(X))))=>((creative(mary)<~>~rich(mary))))&
((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((humble(X)&~tall(X))))... | funny(mary) | [
"p5",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 555423925502540933980727
% SZS output start Proof for 555423925502540933980727
6. ? [X0] : (~kind(X0) | ~rich(X0)) <=> ? [X0] : (~tall(X0) & humble(X0)) [input p5]
9. ! [X0] : ((curious(X0) & kind(X0)) => funny(X0)) [input p8]
11. ? [X0] : tall(X0) <=> ? [X0] : (~happy(X0) | ~kind(X0)) [i... | 0 |
Everyone who is wise or brave is either humble or not funny and vice versa.
If john is not humble then susan is both not wise and curious and vice versa.
Everyone who is humble is rich.
Everyone who is curious or kind is both generous and curious.
If someone is humble or strong then john is wise.
If lucy is not funny t... | Alice is generous. | entailment | (![X]:((wise(X)|brave(X))<=>(humble(X)<~>~funny(X))))&
((~humble(john))<=>((~wise(susan)&curious(susan))))&
(![X]:(humble(X)=>rich(X)))&
(![X]:((curious(X)|kind(X))=>(generous(X)&curious(X))))&
((?[X]:((humble(X)|strong(X))))=>(wise(john)))&
((~funny(lucy))=>(?[X]:((~old(X)&~tall(X)))))&
((?[X]:((patient(X)<~>creative(... | generous(alice) | [
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5660636616269041905720636
% SZS output start Proof for 5660636616269041905720636
4. ! [X0] : ((kind(X0) | curious(X0)) => (curious(X0) & generous(X0))) [input p3]
14. ? [X0] : (~kind(X0) | ~curious(X0)) <=> (kind(mary) & ~tall(mary)) [input p13]
18. tall(mary) & humble(mary) [input p17]
2... | 0 |
Everyone who is not calm or brave is not wise.
If someone is creative or funny then someone is either not happy or happy.
If john is either old or not wise then lucy is either not generous or happy and vice versa.
If someone is humble or not tall then mary is not rich.
If someone is both not old and creative then someo... | Alice is wise. | entailment | (![X]:((~calm(X)|brave(X))=>~wise(X)))&
((?[X]:((creative(X)|funny(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((old(john)<~>~wise(john)))<=>((~generous(lucy)<~>happy(lucy))))&
((?[X]:((humble(X)|~tall(X))))=>(~rich(mary)))&
((?[X]:((~old(X)&creative(X))))=>(?[X]:(funny(X))))&
(![X]:(quiet(X)<=>(~brave(X)|generous(X))))&... | wise(alice) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6940594169605681271520258
% SZS output start Proof for 6940594169605681271520258
5. ? [X0] : (creative(X0) & ~old(X0)) => ? [X0] : funny(X0) [input p4]
7. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (funny(X0) <~> ~funny(X0))) [input p6]
8. ! [X0] : ((wise(X0) <~> old(X0)) <=> (funny(X0) & kin... | 0 |
Everyone who is either funny or strong is strong and vice versa.
Everyone who is either humble or strong is curious and vice versa.
Everyone who is either not humble or rich is both calm and strong and vice versa.
If someone is wise then lucy is either not calm or not old and vice versa.
Everyone who is either not gene... | Lucy is wise. | contradiction | (![X]:((funny(X)<~>strong(X))<=>strong(X)))&
(![X]:((humble(X)<~>strong(X))<=>curious(X)))&
(![X]:((~humble(X)<~>rich(X))<=>(calm(X)&strong(X))))&
((?[X]:(wise(X)))<=>((~calm(lucy)<~>~old(lucy))))&
(![X]:((~generous(X)<~>~quiet(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)|wise(X))))=>((kind(mary)<~>tall(mary))))&... | wise(lucy) | [
"p0",
"p3",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1943345022109653647668943
% SZS output start Proof for 1943345022109653647668943
1. ! [X0] : ((funny(X0) <~> strong(X0)) <=> strong(X0)) [input p0]
4. ? [X0] : wise(X0) <=> (~calm(lucy) <~> ~old(lucy)) [input p3]
13. ! [X0] : ((calm(X0) & tall(X0)) <=> (~funny(X0) | ~tall(X0))) [input p12... | 0 |
If someone is either not quiet or happy then fred is funny.
If someone is both humble and generous then someone is both funny and not humble and vice versa.
If fred is funny then paul is not quiet or old.
If someone is both not generous and wise then john is either not happy or happy and vice versa.
Everyone who is not... | Paul is generous. | contradiction | ((?[X]:((~quiet(X)<~>happy(X))))=>(funny(fred)))&
((?[X]:((humble(X)&generous(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
((funny(fred))=>((~quiet(paul)|old(paul))))&
((?[X]:((~generous(X)&wise(X))))<=>((~happy(john)<~>happy(john))))&
(![X]:((~curious(X)|~tall(X))=>(~rich(X)<~>funny(X))))&
((?[X]:((~strong(X)<~>generous(X... | generous(paul) | [
"p1",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 606429022346653266939967
% SZS output start Proof for 606429022346653266939967
2. ? [X0] : (generous(X0) & humble(X0)) <=> ? [X0] : (~humble(X0) & funny(X0)) [input p1]
11. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p10]
14. ! [X0] : (~humble(X0) <=> ~curious(X0)) [input p1... | 0 |
If someone is kind or not creative then someone is either humble or not creative. Everyone who is both not quiet and tall is not calm or tall and vice versa. If someone is not calm or not brave then someone is either not funny or curious. If fred is creative or not funny then someone is either tall or calm and vice ver... | Mary is creative. | entailment | ((?[X]:((kind(X)|~creative(X))))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~quiet(X)&tall(X))<=>(~calm(X)|tall(X))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(((creative(fred)|~funny(fred)))<=>(?[X]:((tall(X)<~>calm(X)))))&
(![X]:((~calm(X)|~creative(X))<=>(~strong(X)&old(X))))&
(![X]:(... | creative(mary) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1916857688750370573862022
% SZS output start Proof for 1916857688750370573862022
5. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> (old(X0) & ~strong(X0))) [input p4]
16. ! [X0] : ((calm(X0) | old(X0)) => creative(X0)) [input p15]
25. ~creative(mary) [input hypothesis]
38. ! [X0] : (creative(X... | 0 |
Everyone who is either generous or not rich is both quiet and not tall. If someone is humble or not funny then alice is not humble or patient and vice versa. Everyone who is both not funny and not curious is not tall and vice versa. Everyone who is not curious is both generous and not kind and vice versa. Everyone who ... | Alice is humble. | entailment | (![X]:((generous(X)<~>~rich(X))=>(quiet(X)&~tall(X))))&
((?[X]:((humble(X)|~funny(X))))<=>((~humble(alice)|patient(alice))))&
(![X]:((~funny(X)&~curious(X))<=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[X]... | humble(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1880156915930311488457479
% SZS output start Proof for 1880156915930311488457479
6. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (kind(X0) | ~humble(X0))) [input p5]
25. ~humble(alice) [input hypothesis]
46. ! [X0] : (((quiet(X0) & ~quiet(X0)) | (~kind(X0) & humble(X0))) & ((kind(X0) | ~humble(... | 0 |
Everyone who is either humble or calm is both not funny and not patient.
Everyone who is generous or curious is old.
Everyone who is not wise is both tall and creative and vice versa.
If someone is either not humble or tall then susan is both curious and not generous.
If john is not funny or not kind then someone is ei... | Mary is wise. | neutral | (![X]:((humble(X)<~>calm(X))=>(~funny(X)&~patient(X))))&
(![X]:((generous(X)|curious(X))=>old(X)))&
(![X]:(~wise(X)<=>(tall(X)&creative(X))))&
((?[X]:((~humble(X)<~>tall(X))))=>((curious(susan)&~generous(susan))))&
(((~funny(john)|~kind(john)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((rich(X)|~creative(X))=>(~happy... | wise(mary) | [] | null | 0 |
Everyone who is either humble or not old is not kind and vice versa.
Everyone who is old or rich is both wise and not tall.
If someone is not tall or not happy then someone is humble and vice versa.
Everyone who is either not tall or not funny is not old and vice versa.
If someone is both not patient and curious then p... | Alice is not generous. | contradiction | (![X]:((humble(X)<~>~old(X))<=>~kind(X)))&
(![X]:((old(X)|rich(X))=>(wise(X)&~tall(X))))&
((?[X]:((~tall(X)|~happy(X))))<=>(?[X]:(humble(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>~old(X)))&
((?[X]:((~patient(X)&curious(X))))<=>((patient(paul)&~curious(paul))))&
(![X]:((~rich(X)&rich(X))<=>(generous(X)&wise(X))))&
(![X]:((... | ~generous(alice) | [
"p0",
"p1",
"p3",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2788906741880475855711318
% SZS output start Proof for 2788906741880475855711318
1. ! [X0] : ((humble(X0) <~> ~old(X0)) <=> ~kind(X0)) [input p0]
2. ! [X0] : ((rich(X0) | old(X0)) => (~tall(X0) & wise(X0))) [input p1]
4. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> ~old(X0)) [input p3]
8. ? [... | 0 |
If someone is not curious or happy then mary is not funny or not quiet and vice versa. Everyone who is not quiet is creative or happy and vice versa. Everyone who is brave or not creative is not humble and vice versa. Everyone who is both patient and not happy is calm or not funny. Everyone who is brave is either quiet... | Alice is not quiet. | neutral | ((?[X]:((~curious(X)|happy(X))))<=>((~funny(mary)|~quiet(mary))))&
(![X]:(~quiet(X)<=>(creative(X)|happy(X))))&
(![X]:((brave(X)|~creative(X))<=>~humble(X)))&
(![X]:((patient(X)&~happy(X))=>(calm(X)|~funny(X))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((... | ~quiet(alice) | [] | null | 0 |
If someone is calm then susan is tall or not patient and vice versa.
Everyone who is either not kind or quiet is both strong and brave and vice versa.
Everyone who is not old is quiet or not kind.
Everyone who is humble or kind is either strong or brave and vice versa.
Everyone who is tall is both patient and not curio... | Susan is not happy. | neutral | ((?[X]:(calm(X)))<=>((tall(susan)|~patient(susan))))&
(![X]:((~kind(X)<~>quiet(X))<=>(strong(X)&brave(X))))&
(![X]:(~old(X)=>(quiet(X)|~kind(X))))&
(![X]:((humble(X)|kind(X))<=>(strong(X)<~>brave(X))))&
(![X]:(tall(X)<=>(patient(X)&~curious(X))))&
(![X]:((creative(X)<~>brave(X))<=>(~quiet(X)|~rich(X))))&
(((~curious(lu... | ~happy(susan) | [] | null | 0 |
If someone is both not tall and humble then john is both not tall and funny. If someone is both curious and strong then fred is both not creative and funny. Everyone who is not patient or strong is both not curious and not humble and vice versa. Everyone who is old is not happy. Everyone who is not wise is either not b... | John is not kind. | entailment | ((?[X]:((~tall(X)&humble(X))))=>((~tall(john)&funny(john))))&
((?[X]:((curious(X)&strong(X))))=>((~creative(fred)&funny(fred))))&
(![X]:((~patient(X)|strong(X))<=>(~curious(X)&~humble(X))))&
(![X]:(old(X)=>~happy(X)))&
(![X]:(~wise(X)<=>(~brave(X)<~>~happy(X))))&
((~creative(john))<=>(?[X]:((~brave(X)<~>~creative(X))))... | ~kind(john) | [
"p2",
"p3",
"p4",
"p6",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8470761398740865781379632
% SZS output start Proof for 8470761398740865781379632
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~humble(X0) & ~curious(X0))) [input p2]
4. ! [X0] : (old(X0) => ~happy(X0)) [input p3]
5. ! [X0] : (~wise(X0) <=> (~brave(X0) <~> ~happy(X0))) [input p4]
7. ! [X0... | 0 |
If someone is not curious or not rich then someone is not creative.
Everyone who is both not tall and not generous is not rich and vice versa.
Everyone who is wise is not rich.
If susan is quiet or not curious then lucy is not old or humble.
If someone is rich or creative then someone is not rich or not calm.
If paul i... | Lucy is patient. | neutral | ((?[X]:((~curious(X)|~rich(X))))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~cre... | patient(lucy) | [] | null | 0 |
Everyone who is not tall or not happy is either tall or creative and vice versa.
If lucy is not tall or not wise then someone is both quiet and brave.
Everyone who is both brave and tall is generous or funny and vice versa.
Everyone who is not wise or creative is both quiet and not old and vice versa.
If someone is not... | Alice is quiet. | contradiction | (![X]:((~tall(X)|~happy(X))<=>(tall(X)<~>creative(X))))&
(((~tall(lucy)|~wise(lucy)))=>(?[X]:((quiet(X)&brave(X)))))&
(![X]:((brave(X)&tall(X))<=>(generous(X)|funny(X))))&
(![X]:((~wise(X)|creative(X))<=>(quiet(X)&~old(X))))&
((?[X]:((~old(X)|~rich(X))))=>((~creative(john)<~>~curious(john))))&
(![X]:((tall(X)<~>~kind(X... | quiet(alice) | [
"p2",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4582101312523981964674042
% SZS output start Proof for 4582101312523981964674042
3. ! [X0] : ((tall(X0) & brave(X0)) <=> (funny(X0) | generous(X0))) [input p2]
4. ! [X0] : ((creative(X0) | ~wise(X0)) <=> (~old(X0) & quiet(X0))) [input p3]
7. ! [X0] : (brave(X0) => (creative(X0) & old(X0))... | 0 |
Everyone who is either patient or brave is curious and vice versa.
If mary is not creative or not funny then someone is either not wise or not humble and vice versa.
Everyone who is rich or generous is either patient or not tall and vice versa.
Everyone who is both wise and patient is either happy or not calm and vice ... | Lucy is rich. | neutral | (![X]:((patient(X)<~>brave(X))<=>curious(X)))&
(((~creative(mary)|~funny(mary)))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((rich(X)|generous(X))<=>(patient(X)<~>~tall(X))))&
(![X]:((wise(X)&patient(X))<=>(happy(X)<~>~calm(X))))&
(![X]:((~quiet(X)&strong(X))=>(~tall(X)<~>brave(X))))&
((?[X]:((~curious(X)|~patient(X)))... | rich(lucy) | [] | null | 0 |
If someone is not creative or not calm then someone is either wise or not rich. If someone is humble then john is not quiet or patient and vice versa. Everyone who is both kind and quiet is not funny and vice versa. If someone is both brave and calm then alice is both rich and patient. If fred is either wise or not old... | Paul is not wise. | contradiction | ((?[X]:((~creative(X)|~calm(X))))=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:(humble(X)))<=>((~quiet(john)|patient(john))))&
(![X]:((kind(X)&quiet(X))<=>~funny(X)))&
((?[X]:((brave(X)&calm(X))))=>((rich(alice)&patient(alice))))&
(((wise(fred)<~>~old(fred)))<=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((generous(X)<~>~gene... | ~wise(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2596810455463168806592425
% SZS output start Proof for 2596810455463168806592425
18. calm(paul) & wise(paul) [input p17]
25. ~wise(paul) [input hypothesis]
126. wise(paul) [cnf transformation 18]
135. ~wise(paul) [cnf transformation 25]
296. $false [subsumption resolution 135,126]
% SZS o... | 0 |
Everyone who is brave is both brave and not calm and vice versa.
Everyone who is either not funny or not humble is both humble and not patient.
If fred is either not old or old then susan is either quiet or calm.
Everyone who is tall is funny.
If john is not kind then john is either tall or not quiet and vice versa.
Ev... | Mary is calm. | neutral | (![X]:(brave(X)<=>(brave(X)&~calm(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(humble(X)&~patient(X))))&
(((~old(fred)<~>old(fred)))=>((quiet(susan)<~>calm(susan))))&
(![X]:(tall(X)=>funny(X)))&
((~kind(john))<=>((tall(john)<~>~quiet(john))))&
(![X]:((patient(X)|~quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:(~strong(X)))=>(?[X... | calm(mary) | [] | null | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Lucy is strong. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | strong(lucy) | [] | null | 0 |
Everyone who is both kind and brave is humble.
Everyone who is not curious is either strong or kind and vice versa.
Everyone who is either not humble or strong is both not calm and not wise.
Everyone who is either not funny or not creative is strong or happy.
If paul is either not rich or quiet then someone is both not... | Mary is not kind. | neutral | (![X]:((kind(X)&brave(X))=>humble(X)))&
(![X]:(~curious(X)<=>(strong(X)<~>kind(X))))&
(![X]:((~humble(X)<~>strong(X))=>(~calm(X)&~wise(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(strong(X)|happy(X))))&
(((~rich(paul)<~>quiet(paul)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((tall(john)&~funny(john)))=>(generous(john)))&
(((~fu... | ~kind(mary) | [] | null | 0 |
Everyone who is not strong or happy is humble and vice versa. Everyone who is both strong and not kind is not tall or not wise and vice versa. If someone is not tall then alice is both happy and not patient and vice versa. If someone is both not quiet and not rich then someone is not kind or not humble and vice versa. ... | Fred is funny. | neutral | (![X]:((~strong(X)|happy(X))<=>humble(X)))&
(![X]:((strong(X)&~kind(X))<=>(~tall(X)|~wise(X))))&
((?[X]:(~tall(X)))<=>((happy(alice)&~patient(alice))))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:((~kind(X)|~humble(X)))))&
(![X]:((strong(X)<~>~happy(X))<=>(strong(X)|kind(X))))&
((?[X]:((~generous(X)&humble(X))))=>(?[X]:((~... | funny(fred) | [] | null | 0 |
Everyone who is either not generous or old is both happy and not funny and vice versa. Everyone who is not curious is both not generous and not quiet and vice versa. If someone is both funny and wise then someone is either wise or rich. Everyone who is both not rich and patient is either not kind or strong. If someone ... | Paul is not patient. | neutral | (![X]:((~generous(X)<~>old(X))<=>(happy(X)&~funny(X))))&
(![X]:(~curious(X)<=>(~generous(X)&~quiet(X))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~rich(X)&patient(X))=>(~kind(X)<~>strong(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((~generous(X)|old(X))))... | ~patient(paul) | [] | null | 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 susan is old or not quiet then john is humble or not generous and vice versa.
Everyone who is not strong is calm and vice versa.
Everyone who is quiet is not brave or rich.
If mary is both not quiet and strong then lucy is either not curious or brave.
If alice is quiet or not strong then someone is not rich and vice... | John is generous. | neutral | (((old(susan)|~quiet(susan)))<=>((humble(john)|~generous(john))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:(quiet(X)=>(~brave(X)|rich(X))))&
(((~quiet(mary)&strong(mary)))=>((~curious(lucy)<~>brave(lucy))))&
(((quiet(alice)|~strong(alice)))<=>(?[X]:(~rich(X))))&
((?[X]:((quiet(X)|~rich(X))))<=>((quiet(mary)|strong(mary)))... | generous(john) | [] | null | 0 |
If someone is funny or not brave then someone is quiet.
Everyone who is not rich or not tall is either not patient or not humble and vice versa.
If someone is either not quiet or not old then someone is not brave.
Everyone who is not creative is happy.
Everyone who is either not happy or not funny is both calm and quie... | Alice is quiet. | entailment | ((?[X]:((funny(X)|~brave(X))))=>(?[X]:(quiet(X))))&
(![X]:((~rich(X)|~tall(X))<=>(~patient(X)<~>~humble(X))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~brave(X))))&
(![X]:(~creative(X)=>happy(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>(calm(X)&quiet(X))))&
((tall(alice))=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:((~gen... | quiet(alice) | [
"p10",
"p11",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1116324464260125735109777
% SZS output start Proof for 1116324464260125735109777
11. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> ~old(X0)) [input p10]
12. ? [X0] : (~patient(X0) | ~calm(X0)) => (~patient(susan) & humble(susan)) [input p11]
15. ? [X0] : (~old(X0) <~> ~quiet(X0)) <=> ? [X0] : (~s... | 0 |
Everyone who is wise is generous.
Everyone who is not creative or not calm is not strong or not creative.
Everyone who is both not rich and not happy is not strong or not quiet.
Everyone who is humble is not wise and vice versa.
Everyone who is not tall or not patient is tall.
If someone is not creative then john is ei... | John is not creative. | neutral | (![X]:(wise(X)=>generous(X)))&
(![X]:((~creative(X)|~calm(X))=>(~strong(X)|~creative(X))))&
(![X]:((~rich(X)&~happy(X))=>(~strong(X)|~quiet(X))))&
(![X]:(humble(X)<=>~wise(X)))&
(![X]:((~tall(X)|~patient(X))=>tall(X)))&
((?[X]:(~creative(X)))=>((~strong(john)<~>~quiet(john))))&
(![X]:((~humble(X)|wise(X))<=>(kind(X)&ca... | ~creative(john) | [] | null | 0 |
Everyone who is not generous is both not creative and brave and vice versa.
If someone is both generous and not funny then someone is humble and vice versa.
If someone is either curious or not old then someone is tall or not creative.
If fred is old then someone is both not old and not curious.
If paul is either funny ... | Paul is not kind. | contradiction | (![X]:(~generous(X)<=>(~creative(X)&brave(X))))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(humble(X))))&
((?[X]:((curious(X)<~>~old(X))))=>(?[X]:((tall(X)|~creative(X)))))&
((old(fred))=>(?[X]:((~old(X)&~curious(X)))))&
(((funny(paul)<~>~kind(paul)))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
(((wise(mary)|~funny(mary)))<=... | ~kind(paul) | [
"p0",
"p1",
"p4",
"p6",
"p10",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8368100986689724134816542
% SZS output start Proof for 8368100986689724134816542
1. ! [X0] : (~generous(X0) <=> (brave(X0) & ~creative(X0))) [input p0]
2. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0] : humble(X0) [input p1]
5. (funny(paul) <~> ~kind(paul)) <=> ? [X0] : (~humble(X0) <~>... | 0 |
If someone is not generous or tall then mary is calm or kind and vice versa.
Everyone who is both not creative and not funny is either wise or not wise and vice versa.
Everyone who is generous is either tall or not quiet and vice versa.
Everyone who is either patient or wise is funny.
Everyone who is creative or not wi... | John is rich. | neutral | ((?[X]:((~generous(X)|tall(X))))<=>((calm(mary)|kind(mary))))&
(![X]:((~creative(X)&~funny(X))<=>(wise(X)<~>~wise(X))))&
(![X]:(generous(X)<=>(tall(X)<~>~quiet(X))))&
(![X]:((patient(X)<~>wise(X))=>funny(X)))&
(![X]:((creative(X)|~wise(X))=>(~strong(X)<~>~creative(X))))&
(((~tall(lucy)&~funny(lucy)))<=>(?[X]:((~wise(X)... | rich(john) | [] | null | 0 |
If fred is either not old or not quiet then paul is either not happy or patient and vice versa.
If fred is both not tall and not kind then someone is not humble or not wise and vice versa.
Everyone who is rich or old is not wise.
If mary is not old or not strong then someone is not funny.
Everyone who is funny is not r... | Susan is not calm. | neutral | (((~old(fred)<~>~quiet(fred)))<=>((~happy(paul)<~>patient(paul))))&
(((~tall(fred)&~kind(fred)))<=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:((rich(X)|old(X))=>~wise(X)))&
(((~old(mary)|~strong(mary)))=>(?[X]:(~funny(X))))&
(![X]:(funny(X)<=>(~rich(X)|~funny(X))))&
(![X]:(~curious(X)=>(humble(X)|~humble(X))))&
((?[X]:((~o... | ~calm(susan) | [] | null | 0 |
If lucy is both patient and not curious then fred is both not creative and old.
Everyone who is either not wise or creative is not curious or not kind and vice versa.
Everyone who is not brave is either not wise or not generous.
Everyone who is either not rich or tall is funny and vice versa.
Everyone who is not calm i... | Alice is not calm. | neutral | (((patient(lucy)&~curious(lucy)))=>((~creative(fred)&old(fred))))&
(![X]:((~wise(X)<~>creative(X))<=>(~curious(X)|~kind(X))))&
(![X]:(~brave(X)=>(~wise(X)<~>~generous(X))))&
(![X]:((~rich(X)<~>tall(X))<=>funny(X)))&
(![X]:(~calm(X)<=>(creative(X)|happy(X))))&
(![X]:((~tall(X)|~calm(X))<=>~creative(X)))&
(![X]:((~brave(... | ~calm(alice) | [] | null | 0 |
Everyone who is not brave is either not humble or not brave and vice versa.
If someone is both not generous and humble then john is both not wise and not old.
If lucy is old then someone is either curious or not quiet.
Everyone who is not generous is either strong or generous.
If lucy is not brave then someone is not h... | Lucy is not wise. | contradiction | (![X]:(~brave(X)<=>(~humble(X)<~>~brave(X))))&
((?[X]:((~generous(X)&humble(X))))=>((~wise(john)&~old(john))))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>(strong(X)<~>generous(X))))&
((~brave(lucy))<=>(?[X]:(~humble(X))))&
(![X]:((brave(X)<~>~calm(X))<=>(~kind(X)|calm(X))))&
(![X]:((humble(... | ~wise(lucy) | [
"p0",
"p2",
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7148202430209224820110130
% SZS output start Proof for 7148202430209224820110130
1. ! [X0] : (~brave(X0) <=> (~humble(X0) <~> ~brave(X0))) [input p0]
3. old(lucy) => ? [X0] : (curious(X0) <~> ~quiet(X0)) [input p2]
5. ~brave(lucy) <=> ? [X0] : ~humble(X0) [input p4]
15. ! [X0] : ((brave(X... | 0 |
If someone is both not curious and creative then someone is either not calm or creative. If someone is not humble then someone is either not funny or not humble. If john is either curious or not creative then someone is either not generous or brave and vice versa. If someone is either brave or not quiet then fred is ei... | Fred is not rich. | contradiction | ((?[X]:((~curious(X)&creative(X))))=>(?[X]:((~calm(X)<~>creative(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((~funny(X)<~>~humble(X)))))&
(((curious(john)<~>~creative(john)))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((brave(X)<~>~quiet(X))))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~wise(X)&generous(X))=>(rich(X)<~>~... | ~rich(fred) | [
"p4",
"p5",
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2778550964599838467564790
% SZS output start Proof for 2778550964599838467564790
5. ! [X0] : ((generous(X0) & ~wise(X0)) => (rich(X0) <~> ~curious(X0))) [input p4]
6. ? [X0] : (~calm(X0) | calm(X0)) <=> (~generous(lucy) & creative(lucy)) [input p5]
7. ? [X0] : (~curious(X0) | ~generous(X0... | 0 |
Everyone who is both tall and patient is either not quiet or rich.
If someone is strong then someone is tall.
Everyone who is not patient is not creative or not tall.
Everyone who is both not patient and not wise is either brave or not funny.
Everyone who is both generous and not curious is calm.
If someone is not wise... | Susan is quiet. | neutral | (![X]:((tall(X)&patient(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:(strong(X)))=>(?[X]:(tall(X))))&
(![X]:(~patient(X)=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)<~>~funny(X))))&
(![X]:((generous(X)&~curious(X))=>calm(X)))&
((?[X]:(~wise(X)))<=>((kind(susan)|~old(susan))))&
((?[X]:((funny(X)<~>genero... | quiet(susan) | [] | null | 0 |
Everyone who is both calm and not patient is tall or generous.
If someone is strong then someone is either kind or rich.
If fred is creative then paul is strong or brave.
Everyone who is both not quiet and not funny is either not generous or generous and vice versa.
If someone is humble then someone is not calm or gene... | Fred is not quiet. | entailment | (![X]:((calm(X)&~patient(X))=>(tall(X)|generous(X))))&
((?[X]:(strong(X)))=>(?[X]:((kind(X)<~>rich(X)))))&
((creative(fred))=>((strong(paul)|brave(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>(~generous(X)<~>generous(X))))&
((?[X]:(humble(X)))=>(?[X]:((~calm(X)|generous(X)))))&
(![X]:(~quiet(X)=>(wise(X)<~>creative(X))))&
... | ~quiet(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 874574073440320959528360
% SZS output start Proof for 874574073440320959528360
4. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (~generous(X0) <~> generous(X0))) [input p3]
23. quiet(fred) [input hypothesis]
45. ! [X0] : (((~funny(X0) & ~quiet(X0)) | ((~generous(X0) | ~generous(X0)) & (generous... | 0 |
Everyone who is either generous or not old is wise.
If mary is not strong then someone is humble or rich.
Everyone who is either not wise or old is old and vice versa.
Everyone who is both quiet and tall is not calm or kind and vice versa.
Everyone who is both not happy and patient is both tall and calm and vice versa.... | Paul is not calm. | contradiction | (![X]:((generous(X)<~>~old(X))=>wise(X)))&
((~strong(mary))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((~wise(X)<~>old(X))<=>old(X)))&
(![X]:((quiet(X)&tall(X))<=>(~calm(X)|kind(X))))&
(![X]:((~happy(X)&patient(X))<=>(tall(X)&calm(X))))&
(((calm(lucy)&~calm(lucy)))=>((curious(fred)<~>funny(fred))))&
(![X]:((~old(X)|creativ... | ~calm(paul) | [
"p3",
"p4",
"p6",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5621110805604424076914421
% SZS output start Proof for 5621110805604424076914421
4. ! [X0] : ((tall(X0) & quiet(X0)) <=> (kind(X0) | ~calm(X0))) [input p3]
5. ! [X0] : ((patient(X0) & ~happy(X0)) <=> (calm(X0) & tall(X0))) [input p4]
7. ! [X0] : ((creative(X0) | ~old(X0)) => (~creative(X0... | 0 |
Everyone who is both not quiet and generous is either tall or humble and vice versa.
Everyone who is not generous is both not curious and not kind and vice versa.
Everyone who is not wise or brave is both not generous and not curious.
If lucy is both strong and tall then someone is either not strong or not brave and vi... | Paul is not humble. | entailment | (![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>humble(X))))&
(![X]:(~generous(X)<=>(~curious(X)&~kind(X))))&
(![X]:((~wise(X)|brave(X))=>(~generous(X)&~curious(X))))&
(((strong(lucy)&tall(lucy)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(rich(X)<=>(strong(X)<~>old(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~brave(X)<~>~crea... | ~humble(paul) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1382925591882066623731333
% SZS output start Proof for 1382925591882066623731333
2. ! [X0] : (~generous(X0) <=> (~kind(X0) & ~curious(X0))) [input p1]
3. ! [X0] : ((brave(X0) | ~wise(X0)) => (~curious(X0) & ~generous(X0))) [input p2]
8. ! [X0] : (humble(X0) => (brave(X0) & kind(X0))) [inp... | 0 |
Everyone who is not old is both not quiet and generous.
Everyone who is either calm or not creative is not brave or generous.
If someone is both humble and not quiet then lucy is either old or not funny and vice versa.
Everyone who is not calm is not strong.
If someone is not rich or curious then alice is not patient o... | John is not tall. | neutral | (![X]:(~old(X)=>(~quiet(X)&generous(X))))&
(![X]:((calm(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:((humble(X)&~quiet(X))))<=>((old(lucy)<~>~funny(lucy))))&
(![X]:(~calm(X)=>~strong(X)))&
((?[X]:((~rich(X)|curious(X))))=>((~patient(alice)|tall(alice))))&
(![X]:(~humble(X)=>(humble(X)&generous(X))))&
(![X]:(~... | ~tall(john) | [] | null | 0 |
If susan is both not tall and not rich then someone is generous or not calm.
If someone is not generous or not rich then someone is not quiet and vice versa.
If someone is not generous then john is both curious and patient and vice versa.
Everyone who is not happy is both not strong and patient and vice versa.
If someo... | Susan is generous. | entailment | (((~tall(susan)&~rich(susan)))=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((~generous(X)|~rich(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~generous(X)))<=>((curious(john)&patient(john))))&
(![X]:(~happy(X)<=>(~strong(X)&patient(X))))&
((?[X]:((wise(X)|patient(X))))<=>(?[X]:((kind(X)|happy(X)))))&
(((brave(john)|~quiet(john)))... | generous(susan) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4930299201220143500508193
% SZS output start Proof for 4930299201220143500508193
3. ? [X0] : ~generous(X0) <=> (patient(john) & curious(john)) [input p2]
19. ~patient(john) [input p18]
23. ~generous(susan) [input hypothesis]
45. (? [X0] : ~generous(X0) | (~patient(john) | ~curious(john)))... | 0 |
Everyone who is curious is funny. Everyone who is not calm or generous is humble and vice versa. If alice is not generous then someone is wise or quiet. Everyone who is either funny or strong is both creative and not quiet and vice versa. If fred is brave or not strong then someone is patient or not patient and vice ve... | Susan is not patient. | neutral | (![X]:(curious(X)=>funny(X)))&
(![X]:((~calm(X)|generous(X))<=>humble(X)))&
((~generous(alice))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>strong(X))<=>(creative(X)&~quiet(X))))&
(((brave(fred)|~strong(fred)))<=>(?[X]:((patient(X)|~patient(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((curious(X)|creative(X)))))&
(![X]:... | ~patient(susan) | [] | null | 0 |
Everyone who is both old and not curious is either not creative or not kind.
Everyone who is both strong and not humble is either not strong or tall.
Everyone who is not kind is both not curious and not humble.
Everyone who is calm or not kind is either not tall or calm and vice versa.
Everyone who is not generous is b... | John is not funny. | neutral | (![X]:((old(X)&~curious(X))=>(~creative(X)<~>~kind(X))))&
(![X]:((strong(X)&~humble(X))=>(~strong(X)<~>tall(X))))&
(![X]:(~kind(X)=>(~curious(X)&~humble(X))))&
(![X]:((calm(X)|~kind(X))<=>(~tall(X)<~>calm(X))))&
(![X]:(~generous(X)=>(~wise(X)&~funny(X))))&
(![X]:((patient(X)&kind(X))<=>(kind(X)<~>tall(X))))&
(![X]:((cu... | ~funny(john) | [] | null | 0 |
Everyone who is not old or not rich is both not funny and not happy and vice versa. Everyone who is either wise or strong is not funny or rich. If someone is not quiet then someone is either old or not strong. Everyone who is either not happy or not tall is brave or generous. If someone is quiet or not wise then susan ... | John is tall. | contradiction | (![X]:((~old(X)|~rich(X))<=>(~funny(X)&~happy(X))))&
(![X]:((wise(X)<~>strong(X))=>(~funny(X)|rich(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:((~happy(X)<~>~tall(X))=>(brave(X)|generous(X))))&
((?[X]:((quiet(X)|~wise(X))))<=>((~patient(susan)|funny(susan))))&
(![X]:((~quiet(X)<~>happy(X))<=>(cur... | tall(john) | [
"p5",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 862064280674056434379099
% SZS output start Proof for 862064280674056434379099
6. ! [X0] : ((~quiet(X0) <~> happy(X0)) <=> (~quiet(X0) | curious(X0))) [input p5]
9. ! [X0] : (~quiet(X0) => (patient(X0) & happy(X0))) [input p8]
13. ! [X0] : ((calm(X0) <~> patient(X0)) <=> (~tall(X0) & rich... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either curious or not brave is strong and vice versa.
Everyone who is either not wis... | Mary is not happy. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred... | ~happy(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5160213019800734478256050
% SZS output start Proof for 5160213019800734478256050
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
3. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p2]
4. ! [X0] : (curious(X0) ... | 0 |
If someone is both not rich and calm then someone is either not patient or calm and vice versa.
Everyone who is not curious or not happy is not happy or not brave.
Everyone who is both calm and quiet is both not generous and not rich and vice versa.
Everyone who is both not happy and not tall is either not wise or wise... | John is wise. | contradiction | ((?[X]:((~rich(X)&calm(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:((~curious(X)|~happy(X))=>(~happy(X)|~brave(X))))&
(![X]:((calm(X)&quiet(X))<=>(~generous(X)&~rich(X))))&
(![X]:((~happy(X)&~tall(X))=>(~wise(X)<~>wise(X))))&
(![X]:((~patient(X)|kind(X))<=>(~funny(X)<~>tall(X))))&
(((creative(lucy)|happy(lucy)))=>... | wise(john) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6433377097557329071852886
% SZS output start Proof for 6433377097557329071852886
13. ! [X0] : (~tall(X0) <=> (~wise(X0) & rich(X0))) [input p12]
17. ~tall(john) & ~calm(john) [input p16]
25. wise(john) [input hypothesis]
61. ! [X0] : ((~tall(X0) | (wise(X0) | ~rich(X0))) & ((~wise(X0) & r... | 0 |
If lucy is either not kind or wise then john is both not rich and wise and vice versa. Everyone who is either generous or creative is happy and vice versa. Everyone who is not funny or funny is not wise or brave. Everyone who is both not funny and funny is not funny and vice versa. Everyone who is brave is either not w... | Fred is not generous. | entailment | (((~kind(lucy)<~>wise(lucy)))<=>((~rich(john)&wise(john))))&
(![X]:((generous(X)<~>creative(X))<=>happy(X)))&
(![X]:((~funny(X)|funny(X))=>(~wise(X)|brave(X))))&
(![X]:((~funny(X)&funny(X))<=>~funny(X)))&
(![X]:(brave(X)<=>(~wise(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:(creative(X)))<=>(?[X]:(... | ~generous(fred) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9194475000661987139896924
% SZS output start Proof for 9194475000661987139896924
2. ! [X0] : ((generous(X0) <~> creative(X0)) <=> happy(X0)) [input p1]
3. ! [X0] : ((funny(X0) | ~funny(X0)) => (brave(X0) | ~wise(X0))) [input p2]
5. ! [X0] : (brave(X0) <=> (~wise(X0) <~> ~happy(X0))) [inpu... | 0 |
If susan is both not wise and not quiet then alice is both creative and not quiet. Everyone who is both not quiet and not funny is both generous and tall. If susan is either rich or quiet then someone is either generous or creative and vice versa. Everyone who is humble is quiet or not rich. If alice is kind then alice... | Lucy is not curious. | contradiction | (((~wise(susan)&~quiet(susan)))=>((creative(alice)&~quiet(alice))))&
(![X]:((~quiet(X)&~funny(X))=>(generous(X)&tall(X))))&
(((rich(susan)<~>quiet(susan)))<=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:(humble(X)=>(quiet(X)|~rich(X))))&
((kind(alice))=>(tall(alice)))&
(((~strong(paul)&~happy(paul)))<=>((patient(alice)... | ~curious(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8767509648646031320431655
% SZS output start Proof for 8767509648646031320431655
13. ! [X0] : (~tall(X0) <=> (curious(X0) <~> tall(X0))) [input p12]
24. ~curious(lucy) [input hypothesis]
52. ! [X0] : ((~tall(X0) | ((curious(X0) | ~tall(X0)) & (tall(X0) | ~curious(X0)))) & (((~tall(X0) | ~... | 0 |
Everyone who is either strong or not old is not happy or creative and vice versa. If paul is both not generous and not old then fred is both not calm and not strong and vice versa. Everyone who is humble is not kind or tall and vice versa. If mary is not kind then someone is not happy and vice versa. If susan is strong... | Susan is not creative. | contradiction | (![X]:((strong(X)<~>~old(X))<=>(~happy(X)|creative(X))))&
(((~generous(paul)&~old(paul)))<=>((~calm(fred)&~strong(fred))))&
(![X]:(humble(X)<=>(~kind(X)|tall(X))))&
((~kind(mary))<=>(?[X]:(~happy(X))))&
(((strong(susan)|~old(susan)))<=>(?[X]:(~happy(X))))&
((~wise(mary))=>((~strong(susan)<~>patient(susan))))&
(![X]:((c... | ~creative(susan) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 627999136342097411739872
% SZS output start Proof for 627999136342097411739872
7. ! [X0] : ((creative(X0) <~> ~rich(X0)) <=> (~calm(X0) & rich(X0))) [input p6]
21. ~rich(susan) [input p20]
25. ~creative(susan) [input hypothesis]
52. ! [X0] : ((((rich(X0) | ~creative(X0)) & (~rich(X0) | cr... | 0 |
Everyone who is both rich and strong is not patient and vice versa.
If lucy is not patient or not old then lucy is both old and not quiet and vice versa.
Everyone who is both generous and not calm is either generous or funny and vice versa.
Everyone who is not rich is both not kind and not quiet and vice versa.
If alic... | Lucy is funny. | contradiction | (![X]:((rich(X)&strong(X))<=>~patient(X)))&
(((~patient(lucy)|~old(lucy)))<=>((old(lucy)&~quiet(lucy))))&
(![X]:((generous(X)&~calm(X))<=>(generous(X)<~>funny(X))))&
(![X]:(~rich(X)<=>(~kind(X)&~quiet(X))))&
(((~rich(alice)&~creative(alice)))<=>(~strong(fred)))&
((~wise(lucy))=>((generous(lucy)&funny(lucy))))&
(![X]:((... | funny(lucy) | [
"p1",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2446372925890175641372559
% SZS output start Proof for 2446372925890175641372559
2. (~old(lucy) | ~patient(lucy)) <=> (~quiet(lucy) & old(lucy)) [input p1]
3. ! [X0] : ((~calm(X0) & generous(X0)) <=> (generous(X0) <~> funny(X0))) [input p2]
11. ! [X0] : ((tall(X0) & ~happy(X0)) <=> (old(X... | 0 |
Everyone who is both not happy and not brave is either creative or patient.
Everyone who is either brave or patient is either not humble or curious and vice versa.
Everyone who is both not humble and humble is not wise or not rich and vice versa.
Everyone who is either happy or not generous is old.
Everyone who is calm... | Fred is not creative. | neutral | (![X]:((~happy(X)&~brave(X))=>(creative(X)<~>patient(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((~humble(X)&humble(X))<=>(~wise(X)|~rich(X))))&
(![X]:((happy(X)<~>~generous(X))=>old(X)))&
(![X]:(calm(X)<=>(~brave(X)&~tall(X))))&
((~funny(fred))<=>(?[X]:((~patient(X)&~quiet(X)))))&
((~cr... | ~creative(fred) | [] | null | 0 |
Everyone who is not tall is both tall and not patient and vice versa.
If someone is not curious or old then fred is both patient and not rich and vice versa.
Everyone who is either not calm or not curious is humble and vice versa.
Everyone who is either not old or funny is both funny and not tall and vice versa.
Everyo... | Lucy is not quiet. | entailment | (![X]:(~tall(X)<=>(tall(X)&~patient(X))))&
((?[X]:((~curious(X)|old(X))))<=>((patient(fred)&~rich(fred))))&
(![X]:((~calm(X)<~>~curious(X))<=>humble(X)))&
(![X]:((~old(X)<~>funny(X))<=>(funny(X)&~tall(X))))&
(![X]:((curious(X)&brave(X))<=>(creative(X)&~rich(X))))&
(((~creative(susan)&~funny(susan)))<=>(old(lucy)))&
(![... | ~quiet(lucy) | [
"p0",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8650586913391712437521892
% SZS output start Proof for 8650586913391712437521892
1. ! [X0] : (~tall(X0) <=> (~patient(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~old(X0) <~> funny(X0)) <=> (~tall(X0) & funny(X0))) [input p3]
7. ! [X0] : ((~kind(X0) | funny(X0)) <=> (~quiet(X0) | ~tall(X0))... | 0 |
Everyone who is either wise or brave is not strong or curious and vice versa.
If someone is wise or humble then someone is humble or patient.
If john is both not strong and generous then fred is not strong and vice versa.
Everyone who is tall is both not creative and not humble and vice versa.
Everyone who is both not ... | Susan is not creative. | neutral | (![X]:((wise(X)<~>brave(X))<=>(~strong(X)|curious(X))))&
((?[X]:((wise(X)|humble(X))))=>(?[X]:((humble(X)|patient(X)))))&
(((~strong(john)&generous(john)))<=>(~strong(fred)))&
(![X]:(tall(X)<=>(~creative(X)&~humble(X))))&
(![X]:((~creative(X)&rich(X))<=>(~humble(X)<~>~strong(X))))&
(![X]:((strong(X)|kind(X))<=>(creativ... | ~creative(susan) | [] | null | 0 |
If fred is both humble and calm then someone is wise or not creative. Everyone who is both quiet and not strong is funny or wise and vice versa. Everyone who is tall or not creative is not wise. If lucy is both not happy and not strong then someone is not rich or not quiet. Everyone who is both not tall and tall is bot... | Paul is not quiet. | neutral | (((humble(fred)&calm(fred)))=>(?[X]:((wise(X)|~creative(X)))))&
(![X]:((quiet(X)&~strong(X))<=>(funny(X)|wise(X))))&
(![X]:((tall(X)|~creative(X))=>~wise(X)))&
(((~happy(lucy)&~strong(lucy)))=>(?[X]:((~rich(X)|~quiet(X)))))&
(![X]:((~tall(X)&tall(X))<=>(~generous(X)&quiet(X))))&
(((tall(susan)<~>kind(susan)))=>(?[X]:(q... | ~quiet(paul) | [] | null | 0 |
Everyone who is either kind or not patient is happy or brave and vice versa. Everyone who is either not kind or not strong is not patient or curious. Everyone who is quiet is either strong or not strong and vice versa. Everyone who is either not quiet or not patient is not rich or generous and vice versa. If someone is... | Lucy is generous. | neutral | (![X]:((kind(X)<~>~patient(X))<=>(happy(X)|brave(X))))&
(![X]:((~kind(X)<~>~strong(X))=>(~patient(X)|curious(X))))&
(![X]:(quiet(X)<=>(strong(X)<~>~strong(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~rich(X)|generous(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:((happy(X)&quiet(X)))))&
((?[X]:((~funny(X)&~curious(X)... | generous(lucy) | [] | null | 0 |
If someone is not curious then someone is tall or not creative and vice versa.
If lucy is patient or not strong then someone is both not kind and not strong.
Everyone who is tall or creative is both calm and not patient.
Everyone who is not brave is both brave and not curious and vice versa.
Everyone who is both not st... | Susan is not tall. | entailment | ((?[X]:(~curious(X)))<=>(?[X]:((tall(X)|~creative(X)))))&
(((patient(lucy)|~strong(lucy)))=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:((tall(X)|creative(X))=>(calm(X)&~patient(X))))&
(![X]:(~brave(X)<=>(brave(X)&~curious(X))))&
(![X]:((~strong(X)&creative(X))=>(curious(X)<~>funny(X))))&
((?[X]:((~old(X)|~creative(X))))<=>... | ~tall(susan) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 9158336232315018565318956
% SZS output start Proof for 9158336232315018565318956
1. ? [X0] : ~curious(X0) <=> ? [X0] : (~creative(X0) | tall(X0)) [input p0]
4. ! [X0] : (~brave(X0) <=> (~curious(X0) & brave(X0))) [input p3]
20. tall(susan) [input hypothesis]
21. ? [X0] : ~curious(X0) <=> ... | 0 |
If someone is funny then lucy is kind or not patient.
If john is not curious then someone is both not happy and old.
Everyone who is both curious and tall is patient and vice versa.
Everyone who is either humble or patient is happy.
If someone is not creative or not quiet then someone is old.
If fred is not strong or n... | Fred is not happy. | contradiction | ((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))&
((~curious(john))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((curious(X)&tall(X))<=>patient(X)))&
(![X]:((humble(X)<~>patient(X))=>happy(X)))&
((?[X]:((~creative(X)|~quiet(X))))=>(?[X]:(old(X))))&
(((~strong(fred)|~patient(fred)))=>(?[X]:((~kind(X)<~>~generous(X)))))&
(![X... | ~happy(fred) | [
"p2",
"p6",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5869625225700315462980232
% SZS output start Proof for 5869625225700315462980232
3. ! [X0] : ((tall(X0) & curious(X0)) <=> patient(X0)) [input p2]
7. ! [X0] : (funny(X0) <=> (~wise(X0) <~> curious(X0))) [input p6]
14. happy(fred) <=> ? [X0] : (~funny(X0) <~> ~patient(X0)) [input p13]
15. ... | 0 |
If someone is not funny then someone is brave or not creative.
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creativ... | Paul is kind. | contradiction | ((?[X]:(~funny(X)))=>(?[X]:((brave(X)|~creative(X)))))&
((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall... | kind(paul) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p11",
"p12",
"p14",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5247408660250043409380179
% SZS output start Proof for 5247408660250043409380179
4. ! [X0] : ((~patient(X0) | ~wise(X0)) => (old(X0) <~> humble(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (humble(X0) <~> ~creative(X0))) [input p4]
7. ! [X0] : ((~humble(X0) <~> happy(X0)) <=> (~wise(X0) & ... | 0 |
Everyone who is brave or curious is both not patient and not quiet. If someone is both curious and calm then someone is not calm or not tall. Everyone who is generous or happy is quiet. If someone is both not rich and calm then mary is both not humble and calm and vice versa. If john is either generous or humble then a... | John is patient. | contradiction | (![X]:((brave(X)|curious(X))=>(~patient(X)&~quiet(X))))&
((?[X]:((curious(X)&calm(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((generous(X)|happy(X))=>quiet(X)))&
((?[X]:((~rich(X)&calm(X))))<=>((~humble(mary)&calm(mary))))&
(((generous(john)<~>humble(john)))<=>((~humble(alice)&calm(alice))))&
((calm(fred))=>(?[X]:((br... | patient(john) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 26008827871643268253992
% SZS output start Proof for 26008827871643268253992
1. ! [X0] : ((curious(X0) | brave(X0)) => (~quiet(X0) & ~patient(X0))) [input p0]
13. ! [X0] : ((humble(X0) & brave(X0)) <=> (~brave(X0) | happy(X0))) [input p12]
21. patient(john) [input hypothesis]
25. ! [X0] :... | 0 |
If lucy is quiet then someone is both quiet and tall and vice versa.
If someone is both not patient and brave then someone is not creative or not funny and vice versa.
Everyone who is either brave or happy is kind.
If paul is both not strong and curious then someone is curious or calm and vice versa.
If someone is happ... | Paul is not funny. | entailment | ((quiet(lucy))<=>(?[X]:((quiet(X)&tall(X)))))&
((?[X]:((~patient(X)&brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((brave(X)<~>happy(X))=>kind(X)))&
(((~strong(paul)&curious(paul)))<=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:(happy(X)))<=>((~tall(susan)<~>funny(susan))))&
((?[X]:(~kind(X)))=>(?[X]:(~rich(X))))&... | ~funny(paul) | [
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7831582519438197694567130
% SZS output start Proof for 7831582519438197694567130
10. ! [X0] : ((~calm(X0) | ~happy(X0)) => (~funny(X0) <~> ~quiet(X0))) [input p9]
11. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (happy(X0) <~> patient(X0))) [input p10]
12. ! [X0] : (~wise(X0) <=> (quiet(X0) ... | 0 |
If susan is tall or brave then someone is quiet and vice versa. Everyone who is either not rich or patient is either happy or not curious. If someone is either patient or rich then lucy is not generous. Everyone who is either calm or not tall is not happy or not strong and vice versa. Everyone who is both generous and ... | John is tall. | neutral | (((tall(susan)|brave(susan)))<=>(?[X]:(quiet(X))))&
(![X]:((~rich(X)<~>patient(X))=>(happy(X)<~>~curious(X))))&
((?[X]:((patient(X)<~>rich(X))))=>(~generous(lucy)))&
(![X]:((calm(X)<~>~tall(X))<=>(~happy(X)|~strong(X))))&
(![X]:((generous(X)&strong(X))=>(old(X)<~>~curious(X))))&
((?[X]:((~happy(X)&strong(X))))<=>((~gen... | tall(john) | [] | null | 0 |
If lucy is generous then someone is curious. Everyone who is patient or creative is generous or not kind. Everyone who is wise or not generous is calm. Everyone who is happy or humble is both creative and not strong and vice versa. If lucy is kind or humble then someone is both kind and patient and vice versa. Everyone... | Alice is not old. | contradiction | ((generous(lucy))=>(?[X]:(curious(X))))&
(![X]:((patient(X)|creative(X))=>(generous(X)|~kind(X))))&
(![X]:((wise(X)|~generous(X))=>calm(X)))&
(![X]:((happy(X)|humble(X))<=>(creative(X)&~strong(X))))&
(((kind(lucy)|humble(lucy)))<=>(?[X]:((kind(X)&patient(X)))))&
(![X]:(patient(X)<=>~creative(X)))&
((?[X]:((~strong(X)<~... | ~old(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 290600801658753111941565
% SZS output start Proof for 290600801658753111941565
16. ! [X0] : ((~rich(X0) <~> rich(X0)) => old(X0)) [input p15]
24. ~old(alice) [input hypothesis]
44. ! [X0] : (old(X0) | (~rich(X0) <=> rich(X0))) [ennf transformation 16]
82. ! [X0] : (old(X0) | ((~rich(X0) |... | 0 |
If someone is both not patient and creative then john is old and vice versa.
If susan is both not strong and not creative then someone is not rich or strong and vice versa.
If someone is wise or kind then alice is both not brave and happy.
If mary is humble then someone is strong.
If john is both curious and not genero... | Paul is not curious. | entailment | ((?[X]:((~patient(X)&creative(X))))<=>(old(john)))&
(((~strong(susan)&~creative(susan)))<=>(?[X]:((~rich(X)|strong(X)))))&
((?[X]:((wise(X)|kind(X))))=>((~brave(alice)&happy(alice))))&
((humble(mary))=>(?[X]:(strong(X))))&
(((curious(john)&~generous(john)))<=>((rich(lucy)|~kind(lucy))))&
((kind(paul))=>((quiet(john)|~k... | ~curious(paul) | [
"p1",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4425469300646673478839482
% SZS output start Proof for 4425469300646673478839482
2. (~creative(susan) & ~strong(susan)) <=> ? [X0] : (strong(X0) | ~rich(X0)) [input p1]
8. ~happy(john) <=> ? [X0] : (~creative(X0) | rich(X0)) [input p7]
14. ? [X0] : ~happy(X0) <=> (~curious(paul) & funny(p... | 0 |
If john is quiet then alice is not rich and vice versa. Everyone who is either old or tall is not funny or funny and vice versa. If fred is not old or not tall then alice is either tall or kind and vice versa. Everyone who is either strong or not brave is tall. Everyone who is both not curious and not humble is both no... | Lucy is not calm. | neutral | ((quiet(john))<=>(~rich(alice)))&
(![X]:((old(X)<~>tall(X))<=>(~funny(X)|funny(X))))&
(((~old(fred)|~tall(fred)))<=>((tall(alice)<~>kind(alice))))&
(![X]:((strong(X)<~>~brave(X))=>tall(X)))&
(![X]:((~curious(X)&~humble(X))<=>(~creative(X)&rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(strong(X)&~strong(X))))&
((?[X]:((~w... | ~calm(lucy) | [] | null | 0 |
If someone is either kind or not creative then susan is both not tall and wise.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is either not funny or not tall and vice versa.
Everyone who is bot... | Susan is strong. | entailment | ((?[X]:((kind(X)<~>~creative(X))))=>((~tall(susan)&wise(susan))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious... | strong(susan) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 294923144137991444210854
% SZS output start Proof for 294923144137991444210854
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (wise(susan) & ~tall(susan)) [input p0]
2. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (curious(X0) & ~calm(X0))) [input p1]
4. ! [X0] : (curious(X0) <=> (~funny(X0) <~> ~t... | 0 |
If someone is both not curious and kind then someone is tall and vice versa. If someone is both quiet and not funny then someone is humble and vice versa. Everyone who is both strong and not generous is both kind and strong. If fred is not rich or kind then fred is both generous and quiet and vice versa. If mary is bot... | Lucy is quiet. | contradiction | ((?[X]:((~curious(X)&kind(X))))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&~funny(X))))<=>(?[X]:(humble(X))))&
(![X]:((strong(X)&~generous(X))=>(kind(X)&strong(X))))&
(((~rich(fred)|kind(fred)))<=>((generous(fred)&quiet(fred))))&
(((old(mary)&~strong(mary)))=>(?[X]:((strong(X)|~kind(X)))))&
(((~wise(lucy)|kind(lucy)))=>(?[... | quiet(lucy) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4344769545353353420742240
% SZS output start Proof for 4344769545353353420742240
6. (kind(lucy) | ~wise(lucy)) => ? [X0] : (rich(X0) & ~rich(X0)) [input p5]
21. ~wise(lucy) <~> ~quiet(lucy) [input p20]
24. quiet(lucy) [input hypothesis]
33. ? [X0] : (rich(X0) & ~rich(X0)) | (~kind(lucy) &... | 0 |
If alice is not generous or creative then john is not strong and vice versa.
If someone is either not quiet or not funny then someone is brave and vice versa.
If someone is either not generous or calm then someone is either tall or curious and vice versa.
Everyone who is strong or generous is both not wise and not funn... | John is not creative. | neutral | (((~generous(alice)|creative(alice)))<=>(~strong(john)))&
((?[X]:((~quiet(X)<~>~funny(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>(?[X]:((tall(X)<~>curious(X)))))&
(![X]:((strong(X)|generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:(strong(X)<=>(~tall(X)&calm(X))))&
((?[X]:((~strong(X)|wise(X))))<=>(?[X... | ~creative(john) | [] | null | 0 |
Everyone who is strong is both humble and funny. Everyone who is not patient or old is both not happy and wise. If susan is either old or curious then someone is not rich or brave and vice versa. Everyone who is rich is not tall or not brave and vice versa. Everyone who is not old is quiet and vice versa. Everyone who ... | Paul is quiet. | entailment | (![X]:(strong(X)=>(humble(X)&funny(X))))&
(![X]:((~patient(X)|old(X))=>(~happy(X)&wise(X))))&
(((old(susan)<~>curious(susan)))<=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:(rich(X)<=>(~tall(X)|~brave(X))))&
(![X]:(~old(X)<=>quiet(X)))&
(![X]:((~rich(X)|~kind(X))<=>(~kind(X)<~>~strong(X))))&
(((humble(paul)<~>brave(paul)))=>(... | quiet(paul) | [
"p0",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1543654421835676329140280
% SZS output start Proof for 1543654421835676329140280
1. ! [X0] : (strong(X0) => (funny(X0) & humble(X0))) [input p0]
5. ! [X0] : (~old(X0) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~kind(X0) | ~rich(X0)) <=> (~kind(X0) <~> ~strong(X0))) [input p5]
8. ! [X0] : ((o... | 0 |
If someone is both rich and brave then someone is either not generous or brave.
Everyone who is old is either not quiet or tall.
Everyone who is funny is both generous and not brave.
If someone is both not strong and strong then someone is creative.
Everyone who is either humble or not humble is not funny and vice vers... | Fred is tall. | entailment | ((?[X]:((rich(X)&brave(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
(![X]:(old(X)=>(~quiet(X)<~>tall(X))))&
(![X]:(funny(X)=>(generous(X)&~brave(X))))&
((?[X]:((~strong(X)&strong(X))))=>(?[X]:(creative(X))))&
(![X]:((humble(X)<~>~humble(X))<=>~funny(X)))&
(((~humble(susan)|funny(susan)))=>((patient(john)<~>brave(john)))... | tall(fred) | [
"p1",
"p4",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5557374467816449303872365
% SZS output start Proof for 5557374467816449303872365
2. ! [X0] : (old(X0) => (~quiet(X0) <~> tall(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> ~funny(X0)) [input p4]
8. ! [X0] : ((~funny(X0) | ~strong(X0)) => (patient(X0) & old(X0))) [input p7... | 0 |
Everyone who is either kind or not brave is both not kind and kind and vice versa.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not pati... | Fred is creative. | neutral | (![X]:((kind(X)<~>~brave(X))<=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)... | creative(fred) | [] | null | 0 |
If someone is both not patient and not rich then someone is not patient or not strong and vice versa. If someone is happy then someone is not wise or not curious. Everyone who is not old or not rich is either not quiet or not creative and vice versa. Everyone who is not creative or old is either not rich or not patient... | Fred is not rich. | entailment | ((?[X]:((~patient(X)&~rich(X))))<=>(?[X]:((~patient(X)|~strong(X)))))&
((?[X]:(happy(X)))=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:((~old(X)|~rich(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((~creative(X)|old(X))<=>(~rich(X)<~>~patient(X))))&
(![X]:((~funny(X)|~old(X))=>(~patient(X)|~wise(X))))&
((wise(john))<=>(?[X]:((... | ~rich(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 885963482564879737341627
% SZS output start Proof for 885963482564879737341627
16. ! [X0] : (~creative(X0) <=> (rich(X0) <~> ~creative(X0))) [input p15]
25. rich(fred) [input hypothesis]
71. ! [X0] : ((~creative(X0) | ((rich(X0) | creative(X0)) & (~creative(X0) | ~rich(X0)))) & (((creativ... | 0 |
Everyone who is happy is both generous and not humble and vice versa. Everyone who is both not rich and not old is both not kind and old and vice versa. If someone is old then mary is brave. Everyone who is both not happy and patient is old. If mary is either not wise or tall then someone is not kind or curious. Everyo... | Mary is not strong. | contradiction | (![X]:(happy(X)<=>(generous(X)&~humble(X))))&
(![X]:((~rich(X)&~old(X))<=>(~kind(X)&old(X))))&
((?[X]:(old(X)))=>(brave(mary)))&
(![X]:((~happy(X)&patient(X))=>old(X)))&
(((~wise(mary)<~>tall(mary)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((tall(X)|~tall(X))<=>(~rich(X)<~>generous(X))))&
((?[X]:((generous(X)|~calm(X))... | ~strong(mary) | [
"p0",
"p5",
"p7",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4696039646407582039805419
% SZS output start Proof for 4696039646407582039805419
1. ! [X0] : (happy(X0) <=> (~humble(X0) & generous(X0))) [input p0]
6. ! [X0] : ((~tall(X0) | tall(X0)) <=> (~rich(X0) <~> generous(X0))) [input p5]
8. ! [X0] : ((~curious(X0) & creative(X0)) <=> (curious(X0)... | 0 |
Everyone who is kind is either wise or funny and vice versa.
If fred is rich then paul is patient or humble.
Everyone who is not creative is not kind or rich and vice versa.
Everyone who is either not curious or rich is not funny or not tall.
Everyone who is generous or not tall is both not creative and not calm and vi... | John is not old. | contradiction | (![X]:(kind(X)<=>(wise(X)<~>funny(X))))&
((rich(fred))=>((patient(paul)|humble(paul))))&
(![X]:(~creative(X)<=>(~kind(X)|rich(X))))&
(![X]:((~curious(X)<~>rich(X))=>(~funny(X)|~tall(X))))&
(![X]:((generous(X)|~tall(X))<=>(~creative(X)&~calm(X))))&
(((happy(lucy)&rich(lucy)))<=>((~generous(fred)&old(fred))))&
(((~quiet(... | ~old(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1655612903541061108998179
% SZS output start Proof for 1655612903541061108998179
9. ? [X0] : (~old(X0) | ~calm(X0)) <=> ? [X0] : (kind(X0) & ~kind(X0)) [input p8]
25. ~old(john) [input hypothesis]
26. ? [X0] : (~old(X0) | ~calm(X0)) <=> ? [X1] : (kind(X1) & ~kind(X1)) [rectify 9]
46. (? [... | 0 |
If someone is both not strong and not kind then mary is either calm or patient and vice versa.
Everyone who is either not quiet or generous is either not rich or calm.
If susan is funny or not rich then someone is not wise or generous.
Everyone who is not calm or funny is not tall and vice versa.
Everyone who is either... | Fred is quiet. | contradiction | ((?[X]:((~strong(X)&~kind(X))))<=>((calm(mary)<~>patient(mary))))&
(![X]:((~quiet(X)<~>generous(X))=>(~rich(X)<~>calm(X))))&
(((funny(susan)|~rich(susan)))=>(?[X]:((~wise(X)|generous(X)))))&
(![X]:((~calm(X)|funny(X))<=>~tall(X)))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)<~>brave(X))))&
(((~old(paul)<~>~patient(paul))... | quiet(fred) | [
"p4",
"p6",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 962659575424319178364701
% SZS output start Proof for 962659575424319178364701
5. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (strong(X0) <~> brave(X0))) [input p4]
7. ! [X0] : ((~brave(X0) | creative(X0)) => curious(X0)) [input p6]
12. ! [X0] : ((~brave(X0) | happy(X0)) <=> (~curious(X0) <~>... | 0 |
Everyone who is both not old and patient is old or brave and vice versa.
If fred is not curious or creative then mary is both brave and not wise and vice versa.
If someone is either creative or calm then someone is both humble and calm.
Everyone who is creative or not tall is not funny or not brave.
If someone is stron... | Lucy is not brave. | entailment | (![X]:((~old(X)&patient(X))<=>(old(X)|brave(X))))&
(((~curious(fred)|creative(fred)))<=>((brave(mary)&~wise(mary))))&
((?[X]:((creative(X)<~>calm(X))))=>(?[X]:((humble(X)&calm(X)))))&
(![X]:((creative(X)|~tall(X))=>(~funny(X)|~brave(X))))&
((?[X]:((strong(X)|funny(X))))<=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((~humbl... | ~brave(lucy) | [
"p3",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2090604058611120844177494
% SZS output start Proof for 2090604058611120844177494
4. ! [X0] : ((~tall(X0) | creative(X0)) => (~brave(X0) | ~funny(X0))) [input p3]
13. ! [X0] : ((~tall(X0) <~> brave(X0)) => (~calm(X0) & creative(X0))) [input p12]
16. ! [X0] : ((~funny(X0) | quiet(X0)) <=> ~... | 0 |
Everyone who is either not funny or not quiet is humble and vice versa.
Everyone who is both not tall and strong is either calm or kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone is either not generous or rich and vice versa.
If john is both br... | Paul is not calm. | contradiction | (![X]:((~funny(X)<~>~quiet(X))<=>humble(X)))&
(![X]:((~tall(X)&strong(X))=>(calm(X)<~>kind(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((?[X]:((~tall(X)|~strong(X))))<=>(humble(john... | ~calm(paul) | [
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8295975134988038109805110
% SZS output start Proof for 8295975134988038109805110
6. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p5]
11. ? [X0] : humble(X0) => ~humble(john) [input p10]
12. ! [X0] : (strong(X0) <=> (~funny(X0) & calm(X0))) [input p11]
22. ~calm(paul) [input ... | 0 |
Everyone who is not brave or tall is not old or not calm and vice versa.
Everyone who is not tall or calm is brave or generous.
If john is either curious or humble then lucy is generous and vice versa.
Everyone who is happy or kind is both not rich and not quiet and vice versa.
If someone is generous then someone is no... | John is rich. | contradiction | (![X]:((~brave(X)|tall(X))<=>(~old(X)|~calm(X))))&
(![X]:((~tall(X)|calm(X))=>(brave(X)|generous(X))))&
(((curious(john)<~>humble(john)))<=>(generous(lucy)))&
(![X]:((happy(X)|kind(X))<=>(~rich(X)&~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(~patient(X)<=>(kind(X)|patient(X))))&
(![X]... | rich(john) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 311985781824318120754825
% SZS output start Proof for 311985781824318120754825
4. ! [X0] : ((kind(X0) | happy(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p3]
6. ! [X0] : (~patient(X0) <=> (patient(X0) | kind(X0))) [input p5]
23. rich(john) [input hypothesis]
40. ! [X0] : (((kind(X0) | happy... | 0 |
Everyone who is either not humble or wise is both not brave and tall and vice versa. If mary is either not creative or curious then someone is both strong and not curious. Everyone who is either not generous or not calm is both strong and wise. If fred is not rich or humble then paul is not kind or humble and vice vers... | Paul is not calm. | contradiction | (![X]:((~humble(X)<~>wise(X))<=>(~brave(X)&tall(X))))&
(((~creative(mary)<~>curious(mary)))=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:((~generous(X)<~>~calm(X))=>(strong(X)&wise(X))))&
(((~rich(fred)|humble(fred)))<=>((~kind(paul)|humble(paul))))&
(![X]:((funny(X)<~>~happy(X))=>(generous(X)&~generous(X))))&
(![X]:(~qui... | ~calm(paul) | [
"p4",
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 836334388754643079945395
% SZS output start Proof for 836334388754643079945395
5. ! [X0] : ((funny(X0) <~> ~happy(X0)) => (~generous(X0) & generous(X0))) [input p4]
10. ! [X0] : ((brave(X0) | wise(X0)) => (funny(X0) & strong(X0))) [input p9]
12. ! [X0] : (~calm(X0) => happy(X0)) [input p1... | 0 |
Everyone who is either not old or strong is not creative and vice versa.
Everyone who is either calm or not humble is patient or not humble and vice versa.
If someone is not quiet or strong then someone is either happy or humble and vice versa.
Everyone who is either not calm or old is either creative or kind and vice ... | Fred is not humble. | contradiction | (![X]:((~old(X)<~>strong(X))<=>~creative(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(patient(X)|~humble(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((happy(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>old(X))<=>(creative(X)<~>kind(X))))&
(((rich(susan)|~wise(susan)))<=>((strong(alice)&~wise(alice))))&
(![X]:((~humble(X)|~brave... | ~humble(fred) | [
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 26078126235981802479817
% SZS output start Proof for 26078126235981802479817
6. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~generous(X0) & brave(X0))) [input p7]
14. ? [X0] : (~patient(X0) | ~strong(X0)) => ? [X0] : (~brave... | 0 |
If someone is either not patient or not strong then mary is tall or patient and vice versa.
Everyone who is kind or old is both not humble and not happy and vice versa.
Everyone who is either curious or not happy is generous and vice versa.
Everyone who is not tall is not quiet and vice versa.
Everyone who is either no... | Paul is not kind. | neutral | ((?[X]:((~patient(X)<~>~strong(X))))<=>((tall(mary)|patient(mary))))&
(![X]:((kind(X)|old(X))<=>(~humble(X)&~happy(X))))&
(![X]:((curious(X)<~>~happy(X))<=>generous(X)))&
(![X]:(~tall(X)<=>~quiet(X)))&
(![X]:((~humble(X)<~>strong(X))=>(~generous(X)<~>wise(X))))&
(![X]:((brave(X)<~>funny(X))<=>happy(X)))&
((?[X]:(~brave... | ~kind(paul) | [] | null | 0 |
If someone is not calm then susan is both not brave and old.
If someone is both happy and rich then someone is either not creative or creative.
Everyone who is patient is creative or generous and vice versa.
If lucy is both not calm and not patient then someone is either not wise or old and vice versa.
Everyone who is ... | John is kind. | contradiction | ((?[X]:(~calm(X)))=>((~brave(susan)&old(susan))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:(patient(X)<=>(creative(X)|generous(X))))&
(((~calm(lucy)&~patient(lucy)))<=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:((~rich(X)|~tall(X))<=>(~wise(X)&~patient(X))))&
((?[X]:((strong(X)<~>~happy(X)... | kind(john) | [
"p2",
"p4",
"p7",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6466617826429123493231794
% SZS output start Proof for 6466617826429123493231794
3. ! [X0] : (patient(X0) <=> (generous(X0) | creative(X0))) [input p2]
5. ! [X0] : ((~tall(X0) | ~rich(X0)) <=> (~patient(X0) & ~wise(X0))) [input p4]
8. ! [X0] : (~kind(X0) <=> (patient(X0) & wise(X0))) [inp... | 0 |
Everyone who is brave or not strong is creative or not creative and vice versa.
Everyone who is both not quiet and not wise is both rich and not funny and vice versa.
If alice is both curious and not happy then alice is not old or tall and vice versa.
If lucy is both calm and not creative then someone is both funny and... | Paul is not brave. | entailment | (![X]:((brave(X)|~strong(X))<=>(creative(X)|~creative(X))))&
(![X]:((~quiet(X)&~wise(X))<=>(rich(X)&~funny(X))))&
(((curious(alice)&~happy(alice)))<=>((~old(alice)|tall(alice))))&
(((calm(lucy)&~creative(lucy)))=>(?[X]:((funny(X)&old(X)))))&
(((~rich(mary)&creative(mary)))<=>((~happy(susan)|~creative(susan))))&
(((curi... | ~brave(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2611871761424579085680286
% SZS output start Proof for 2611871761424579085680286
13. ! [X0] : ((~generous(X0) | generous(X0)) <=> (~wise(X0) & ~brave(X0))) [input p12]
22. brave(paul) [input hypothesis]
61. ! [X0] : (((~generous(X0) | generous(X0)) | (wise(X0) | brave(X0))) & ((~wise(X0) ... | 0 |
If someone is either old or not humble then someone is curious.
If someone is both happy and curious then paul is either not old or quiet and vice versa.
Everyone who is strong or not generous is not kind or not old and vice versa.
If someone is either not wise or not tall then someone is both patient and wise.
Everyon... | Lucy is generous. | contradiction | ((?[X]:((old(X)<~>~humble(X))))=>(?[X]:(curious(X))))&
((?[X]:((happy(X)&curious(X))))<=>((~old(paul)<~>quiet(paul))))&
(![X]:((strong(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:((~wise(X)<~>~tall(X))))=>(?[X]:((patient(X)&wise(X)))))&
(![X]:(~happy(X)=>(old(X)|quiet(X))))&
((~wise(alice))<=>(?[X]:(creative(X))))&... | generous(lucy) | [
"p3",
"p6",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2527236478503732337294148
% SZS output start Proof for 2527236478503732337294148
4. ? [X0] : (~wise(X0) <~> ~tall(X0)) => ? [X0] : (wise(X0) & patient(X0)) [input p3]
7. ? [X0] : ~strong(X0) <=> ? [X0] : tall(X0) [input p6]
9. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (~generous(X0) | wise(X... | 0 |
If someone is both rich and humble then susan is curious or happy.
Everyone who is either not old or tall is either not rich or generous.
Everyone who is not brave is brave or not creative and vice versa.
Everyone who is either wise or generous is quiet.
Everyone who is not curious is either happy or tall and vice vers... | Susan is not wise. | contradiction | ((?[X]:((rich(X)&humble(X))))=>((curious(susan)|happy(susan))))&
(![X]:((~old(X)<~>tall(X))=>(~rich(X)<~>generous(X))))&
(![X]:(~brave(X)<=>(brave(X)|~creative(X))))&
(![X]:((wise(X)<~>generous(X))=>quiet(X)))&
(![X]:(~curious(X)<=>(happy(X)<~>tall(X))))&
(![X]:(tall(X)<=>(~brave(X)|tall(X))))&
(((~curious(alice)&gener... | ~wise(susan) | [
"p2",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7037673069445681520780424
% SZS output start Proof for 7037673069445681520780424
3. ! [X0] : (~brave(X0) <=> (~creative(X0) | brave(X0))) [input p2]
6. ! [X0] : (tall(X0) <=> (tall(X0) | ~brave(X0))) [input p5]
15. ? [X0] : (~brave(X0) & ~wise(X0)) => ? [X0] : (old(X0) & ~tall(X0)) [input... | 0 |
Everyone who is curious or not patient is generous or not wise.
If someone is not creative or happy then someone is both quiet and tall.
Everyone who is both rich and tall is humble or not tall.
Everyone who is not kind is both curious and brave and vice versa.
Everyone who is not quiet is curious and vice versa.
If so... | Fred is generous. | contradiction | (![X]:((curious(X)|~patient(X))=>(generous(X)|~wise(X))))&
((?[X]:((~creative(X)|happy(X))))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((rich(X)&tall(X))=>(humble(X)|~tall(X))))&
(![X]:(~kind(X)<=>(curious(X)&brave(X))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:(~brave(X))))&
(((old(ma... | generous(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 766339923124329306537254
% SZS output start Proof for 766339923124329306537254
18. wise(fred) & ~generous(fred) [input p17]
25. generous(fred) [input hypothesis]
133. ~generous(fred) [cnf transformation 18]
145. generous(fred) [cnf transformation 25]
226. 19 <=> generous(fred) [avatar def... | 0 |
If john is both not humble and humble then mary is both brave and not kind.
If lucy is generous or curious then lucy is not tall.
Everyone who is both generous and not wise is tall.
If fred is humble or not patient then lucy is old and vice versa.
Everyone who is either not rich or not patient is either patient or not ... | Mary is generous. | neutral | (((~humble(john)&humble(john)))=>((brave(mary)&~kind(mary))))&
(((generous(lucy)|curious(lucy)))=>(~tall(lucy)))&
(![X]:((generous(X)&~wise(X))=>tall(X)))&
(((humble(fred)|~patient(fred)))<=>(old(lucy)))&
(![X]:((~rich(X)<~>~patient(X))<=>(patient(X)<~>~humble(X))))&
(((old(mary)<~>patient(mary)))=>(?[X]:((patient(X)|c... | generous(mary) | [] | null | 0 |
If someone is both quiet and calm then paul is creative and vice versa.
If paul is both not funny and not brave then someone is either not funny or not patient.
Everyone who is both generous and not humble is either brave or not funny and vice versa.
If alice is not calm or kind then john is either happy or not happy a... | Mary is creative. | entailment | ((?[X]:((quiet(X)&calm(X))))<=>(creative(paul)))&
(((~funny(paul)&~brave(paul)))=>(?[X]:((~funny(X)<~>~patient(X)))))&
(![X]:((generous(X)&~humble(X))<=>(brave(X)<~>~funny(X))))&
(((~calm(alice)|kind(alice)))<=>((happy(john)<~>~happy(john))))&
(![X]:((strong(X)|creative(X))<=>~old(X)))&
(![X]:((wise(X)&creative(X))<=>(... | creative(mary) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1217565910444761371622745
% SZS output start Proof for 1217565910444761371622745
7. ! [X0] : ((~creative(X0) | funny(X0)) => (~wise(X0) & ~strong(X0))) [input p6]
10. ! [X0] : ((strong(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p9]
23. ~creative(mary) [input hypothesis]
27. ! [X0] : ((~w... | 0 |
Everyone who is not rich is either not old or not rich and vice versa.
Everyone who is either not rich or not kind is either not brave or not funny and vice versa.
Everyone who is not kind or not funny is old or funny and vice versa.
If someone is funny then someone is either curious or not kind.
Everyone who is not st... | Susan is not patient. | contradiction | (![X]:(~rich(X)<=>(~old(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>~kind(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)|~funny(X))<=>(old(X)|funny(X))))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~kind(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((~tall(X)|patient(X))<=>(tall(X)&~calm(X))))&
(... | ~patient(susan) | [
"p0",
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 112908545372282360539889
% SZS output start Proof for 112908545372282360539889
1. ! [X0] : (~rich(X0) <=> (~old(X0) <~> ~rich(X0))) [input p0]
6. ! [X0] : ((patient(X0) | ~tall(X0)) <=> (~calm(X0) & tall(X0))) [input p5]
7. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (~tall(X0) <~> kind(X0)))... | 0 |
Everyone who is either not happy or strong is both happy and calm.
Everyone who is either not brave or not strong is quiet.
Everyone who is both calm and not humble is not happy and vice versa.
If paul is wise then someone is either generous or patient.
Everyone who is not creative or not funny is not brave or rich.
Ev... | Lucy is creative. | neutral | (![X]:((~happy(X)<~>strong(X))=>(happy(X)&calm(X))))&
(![X]:((~brave(X)<~>~strong(X))=>quiet(X)))&
(![X]:((calm(X)&~humble(X))<=>~happy(X)))&
((wise(paul))=>(?[X]:((generous(X)<~>patient(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~brave(X)|rich(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:(~tall(X)<=>(creative(X)|funny(X))... | creative(lucy) | [] | null | 0 |
Everyone who is not humble is rich and vice versa.
Everyone who is both quiet and generous is either generous or creative.
Everyone who is either kind or patient is either quiet or rich.
Everyone who is patient is both rich and not quiet.
If john is both not old and strong then john is strong.
If mary is either funny o... | Susan is humble. | contradiction | (![X]:(~humble(X)<=>rich(X)))&
(![X]:((quiet(X)&generous(X))=>(generous(X)<~>creative(X))))&
(![X]:((kind(X)<~>patient(X))=>(quiet(X)<~>rich(X))))&
(![X]:(patient(X)=>(rich(X)&~quiet(X))))&
(((~old(john)&strong(john)))=>(strong(john)))&
(((funny(mary)<~>~generous(mary)))<=>((~funny(fred)<~>creative(fred))))&
(![X]:((ta... | humble(susan) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4949127409916862156102110
% SZS output start Proof for 4949127409916862156102110
1. ! [X0] : (~humble(X0) <=> rich(X0)) [input p0]
11. ! [X0] : (~rich(X0) <=> (rich(X0) <~> ~humble(X0))) [input p10]
25. humble(susan) [input hypothesis]
39. ! [X0] : ((~humble(X0) | ~rich(X0)) & (rich(X0) |... | 0 |
Everyone who is either not tall or not quiet is either kind or creative and vice versa.
Everyone who is curious is either wise or strong and vice versa.
If someone is both not humble and generous then susan is tall and vice versa.
Everyone who is both humble and old is not strong or not creative.
Everyone who is not pa... | Mary is not strong. | contradiction | (![X]:((~tall(X)<~>~quiet(X))<=>(kind(X)<~>creative(X))))&
(![X]:(curious(X)<=>(wise(X)<~>strong(X))))&
((?[X]:((~humble(X)&generous(X))))<=>(tall(susan)))&
(![X]:((humble(X)&old(X))=>(~strong(X)|~creative(X))))&
(![X]:((~patient(X)|~funny(X))=>(wise(X)&~curious(X))))&
((?[X]:((patient(X)|~rich(X))))=>(?[X]:((~brave(X)... | ~strong(mary) | [
"p1",
"p10",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 459717925216109017050411
% SZS output start Proof for 459717925216109017050411
2. ! [X0] : (curious(X0) <=> (wise(X0) <~> strong(X0))) [input p1]
11. ! [X0] : (kind(X0) => (~calm(X0) | curious(X0))) [input p10]
14. ! [X0] : ((~quiet(X0) | ~funny(X0)) <=> (~funny(X0) | ~calm(X0))) [input p... | 0 |
Everyone who is old is both calm and not kind.
Everyone who is both not quiet and not wise is strong or not strong.
Everyone who is not wise is not old or strong and vice versa.
Everyone who is both patient and strong is both not generous and humble.
Everyone who is not brave or not patient is either patient or not bra... | Paul is strong. | neutral | (![X]:(old(X)=>(calm(X)&~kind(X))))&
(![X]:((~quiet(X)&~wise(X))=>(strong(X)|~strong(X))))&
(![X]:(~wise(X)<=>(~old(X)|strong(X))))&
(![X]:((patient(X)&strong(X))=>(~generous(X)&humble(X))))&
(![X]:((~brave(X)|~patient(X))<=>(patient(X)<~>~brave(X))))&
(![X]:(~calm(X)=>strong(X)))&
(![X]:((~creative(X)&~rich(X))=>(funn... | strong(paul) | [] | null | 0 |
Everyone who is both not rich and not funny is either old or rich and vice versa.
Everyone who is either happy or not old is either brave or not happy.
If lucy is both not funny and kind then someone is either patient or wise.
If john is either not tall or not quiet then someone is not funny or curious and vice versa.
... | Paul is wise. | neutral | (![X]:((~rich(X)&~funny(X))<=>(old(X)<~>rich(X))))&
(![X]:((happy(X)<~>~old(X))=>(brave(X)<~>~happy(X))))&
(((~funny(lucy)&kind(lucy)))=>(?[X]:((patient(X)<~>wise(X)))))&
(((~tall(john)<~>~quiet(john)))<=>(?[X]:((~funny(X)|curious(X)))))&
(![X]:(~brave(X)=>patient(X)))&
(![X]:((~kind(X)<~>generous(X))=>(~happy(X)<~>wis... | wise(paul) | [] | null | 0 |
Everyone who is either creative or not humble is either strong or not tall.
Everyone who is not quiet is either old or kind and vice versa.
If someone is both rich and not old then alice is strong or tall and vice versa.
If mary is not brave then someone is happy or not tall and vice versa.
If someone is happy then som... | John is strong. | entailment | (![X]:((creative(X)<~>~humble(X))=>(strong(X)<~>~tall(X))))&
(![X]:(~quiet(X)<=>(old(X)<~>kind(X))))&
((?[X]:((rich(X)&~old(X))))<=>((strong(alice)|tall(alice))))&
((~brave(mary))<=>(?[X]:((happy(X)|~tall(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~wise(X)|humble(X))<=>(quiet(X)&humble(X))))&
... | strong(john) | [
"p5",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8657188261284844487561029
% SZS output start Proof for 8657188261284844487561029
6. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (humble(X0) & quiet(X0))) [input p5]
7. ! [X0] : ((generous(X0) | humble(X0)) <=> (~strong(X0) <~> generous(X0))) [input p6]
21. ~quiet(john) <~> strong(john) [input ... | 0 |
If someone is either not happy or not old then fred is both not wise and not patient.
Everyone who is curious or happy is either calm or funny and vice versa.
Everyone who is not generous or not old is not funny.
Everyone who is either old or curious is not generous or wise and vice versa.
Everyone who is not generous ... | Alice is not generous. | contradiction | ((?[X]:((~happy(X)<~>~old(X))))=>((~wise(fred)&~patient(fred))))&
(![X]:((curious(X)|happy(X))<=>(calm(X)<~>funny(X))))&
(![X]:((~generous(X)|~old(X))=>~funny(X)))&
(![X]:((old(X)<~>curious(X))<=>(~generous(X)|wise(X))))&
(![X]:((~generous(X)|quiet(X))<=>(~rich(X)&~generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~humble(X)... | ~generous(alice) | [
"p4",
"p6",
"p9",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1953821679950701369355371
% SZS output start Proof for 1953821679950701369355371
5. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> (~generous(X0) & ~rich(X0))) [input p4]
7. ! [X0] : (~patient(X0) <=> (~creative(X0) | ~happy(X0))) [input p6]
10. ! [X0] : ((~patient(X0) | creative(X0)) => (~ric... | 0 |
If someone is not humble then someone is both calm and not happy.
If fred is tall then paul is either old or not happy.
Everyone who is either not brave or quiet is curious or not funny and vice versa.
If paul is not humble or old then someone is creative or not humble and vice versa.
If someone is either not creative ... | Fred is not patient. | neutral | ((?[X]:(~humble(X)))=>(?[X]:((calm(X)&~happy(X)))))&
((tall(fred))=>((old(paul)<~>~happy(paul))))&
(![X]:((~brave(X)<~>quiet(X))<=>(curious(X)|~funny(X))))&
(((~humble(paul)|old(paul)))<=>(?[X]:((creative(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(~rich(X)=>(humble(X)|... | ~patient(fred) | [] | null | 0 |
Everyone who is either not strong or curious is either not rich or funny.
Everyone who is both not brave and not happy is both kind and not creative and vice versa.
If someone is not generous or not quiet then someone is not brave and vice versa.
Everyone who is not old or old is not happy.
Everyone who is both tall an... | Alice is kind. | contradiction | (![X]:((~strong(X)<~>curious(X))=>(~rich(X)<~>funny(X))))&
(![X]:((~brave(X)&~happy(X))<=>(kind(X)&~creative(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|old(X))=>~happy(X)))&
(![X]:((tall(X)&calm(X))<=>generous(X)))&
(![X]:(~strong(X)<=>(~brave(X)|~tall(X))))&
((?[X]:((~old(X)<~>pat... | kind(alice) | [
"p1",
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5992935594545998587955793
% SZS output start Proof for 5992935594545998587955793
2. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (~creative(X0) & kind(X0))) [input p1]
6. ! [X0] : (~strong(X0) <=> (~tall(X0) | ~brave(X0))) [input p5]
11. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~strong(X0) & ~b... | 0 |
If someone is strong then someone is both not rich and not kind. Everyone who is strong is either not quiet or strong and vice versa. If someone is either not curious or not happy then someone is patient. Everyone who is both calm and not happy is both calm and not funny and vice versa. Everyone who is patient or not g... | Susan is not quiet. | contradiction | ((?[X]:(strong(X)))=>(?[X]:((~rich(X)&~kind(X)))))&
(![X]:(strong(X)<=>(~quiet(X)<~>strong(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>(?[X]:(patient(X))))&
(![X]:((calm(X)&~happy(X))<=>(calm(X)&~funny(X))))&
(![X]:((patient(X)|~generous(X))=>generous(X)))&
(![X]:(~quiet(X)=>(old(X)|rich(X))))&
(((~humble(john)|curious... | ~quiet(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1185499930348516653817535
% SZS output start Proof for 1185499930348516653817535
2. ! [X0] : (strong(X0) <=> (~quiet(X0) <~> strong(X0))) [input p1]
23. ~quiet(susan) [input hypothesis]
46. ! [X0] : ((strong(X0) | ((~quiet(X0) | ~strong(X0)) & (strong(X0) | quiet(X0)))) & (((~strong(X0) |... | 0 |
Everyone who is strong is generous and vice versa.
If susan is both kind and not wise then someone is not kind and vice versa.
Everyone who is not tall is not quiet and vice versa.
Everyone who is both not funny and not creative is not rich and vice versa.
If someone is both not humble and not strong then someone is ei... | Susan is not happy. | entailment | (![X]:(strong(X)<=>generous(X)))&
(((kind(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(~tall(X)<=>~quiet(X)))&
(![X]:((~funny(X)&~creative(X))<=>~rich(X)))&
((?[X]:((~humble(X)&~strong(X))))<=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((creative(X)<~>~old(X))=>(happy(X)&tall(X))))&
(![X]:(~strong(X)=>kind(X)))&
(![X... | ~happy(susan) | [
"p0",
"p1",
"p4",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3401319937505767851460818
% SZS output start Proof for 3401319937505767851460818
1. ! [X0] : (strong(X0) <=> generous(X0)) [input p0]
2. (~wise(susan) & kind(susan)) <=> ? [X0] : ~kind(X0) [input p1]
5. ? [X0] : (~strong(X0) & ~humble(X0)) <=> ? [X0] : (kind(X0) <~> ~happy(X0)) [input p4]... | 0 |
Everyone who is both not patient and not brave is not calm and vice versa.
If someone is either wise or not quiet then someone is either not brave or humble.
Everyone who is not tall is both not happy and creative.
Everyone who is kind or not happy is both not funny and funny.
If someone is not kind then susan is tall ... | Lucy is rich. | contradiction | (![X]:((~patient(X)&~brave(X))<=>~calm(X)))&
((?[X]:((wise(X)<~>~quiet(X))))=>(?[X]:((~brave(X)<~>humble(X)))))&
(![X]:(~tall(X)=>(~happy(X)&creative(X))))&
(![X]:((kind(X)|~happy(X))=>(~funny(X)&funny(X))))&
((?[X]:(~kind(X)))<=>(tall(susan)))&
(![X]:((happy(X)<~>kind(X))<=>(~curious(X)<~>~tall(X))))&
(((patient(john)... | rich(lucy) | [
"p2",
"p3",
"p10",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 752282037876451740282093
% SZS output start Proof for 752282037876451740282093
3. ! [X0] : (~tall(X0) => (creative(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~happy(X0) | kind(X0)) => (funny(X0) & ~funny(X0))) [input p3]
11. ! [X0] : ((wise(X0) & brave(X0)) <=> rich(X0)) [input p10]
14. ... | 0 |
Everyone who is either not happy or not curious is curious.
If someone is either rich or funny then someone is both humble and creative and vice versa.
If john is both not generous and generous then someone is either humble or tall.
Everyone who is not kind or creative is not calm or old and vice versa.
If alice is fun... | Paul is not humble. | entailment | (![X]:((~happy(X)<~>~curious(X))=>curious(X)))&
((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((humble(X)&creative(X)))))&
(((~generous(john)&generous(john)))=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~calm(X)|old(X))))&
(((funny(alice)|kind(alice)))<=>((~quiet(alice)|quiet(alice))))&
(![X]:((quiet(X)... | ~humble(paul) | [
"p0",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4217624820372964287855754
% SZS output start Proof for 4217624820372964287855754
1. ! [X0] : ((~happy(X0) <~> ~curious(X0)) => curious(X0)) [input p0]
8. (happy(paul) <~> ~wise(paul)) <=> ? [X0] : humble(X0) [input p7]
10. ! [X0] : (curious(X0) <=> (~curious(X0) & ~patient(X0))) [input p9... | 0 |
Everyone who is both not quiet and not brave is either not tall or brave.
Everyone who is either brave or calm is both not happy and generous and vice versa.
If someone is either not calm or not patient then john is not brave or kind.
If someone is both creative and calm then someone is either wise or curious and vice ... | Fred is not happy. | entailment | (![X]:((~quiet(X)&~brave(X))=>(~tall(X)<~>brave(X))))&
(![X]:((brave(X)<~>calm(X))<=>(~happy(X)&generous(X))))&
((?[X]:((~calm(X)<~>~patient(X))))=>((~brave(john)|kind(john))))&
((?[X]:((creative(X)&calm(X))))<=>(?[X]:((wise(X)<~>curious(X)))))&
(((strong(mary)|creative(mary)))<=>((happy(fred)<~>creative(fred))))&
(((f... | ~happy(fred) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5785055074739147346133663
% SZS output start Proof for 5785055074739147346133663
8. ! [X0] : ((kind(X0) | happy(X0)) <=> (~happy(X0) | humble(X0))) [input p7]
15. ! [X0] : (~happy(X0) <=> (~strong(X0) | humble(X0))) [input p14]
24. happy(fred) [input hypothesis]
49. ! [X0] : (((kind(X0) |... | 0 |
Everyone who is either not calm or creative is both not wise and not happy and vice versa.
Everyone who is kind or quiet is not funny or not calm and vice versa.
Everyone who is not strong or wise is tall.
Everyone who is not humble or strong is not kind or not generous.
Everyone who is not calm or rich is not quiet or... | Lucy is not old. | entailment | (![X]:((~calm(X)<~>creative(X))<=>(~wise(X)&~happy(X))))&
(![X]:((kind(X)|quiet(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~strong(X)|wise(X))=>tall(X)))&
(![X]:((~humble(X)|strong(X))=>(~kind(X)|~generous(X))))&
(![X]:((~calm(X)|rich(X))<=>(~quiet(X)|generous(X))))&
(![X]:(brave(X)=>(~quiet(X)&generous(X))))&
(![X]:((~stro... | ~old(lucy) | [
"p2",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 947199591231179916447729
% SZS output start Proof for 947199591231179916447729
3. ! [X0] : ((wise(X0) | ~strong(X0)) => tall(X0)) [input p2]
7. ! [X0] : ((rich(X0) | ~strong(X0)) => creative(X0)) [input p6]
9. ! [X0] : (creative(X0) => (old(X0) & ~tall(X0))) [input p8]
13. ! [X0] : (stron... | 0 |
Everyone who is not old or old is not happy or happy and vice versa.
If someone is both tall and wise then paul is not happy or humble and vice versa.
Everyone who is either not wise or strong is not creative.
Everyone who is not tall is either wise or not humble and vice versa.
If fred is humble or strong then someone... | Paul is not strong. | contradiction | (![X]:((~old(X)|old(X))<=>(~happy(X)|happy(X))))&
((?[X]:((tall(X)&wise(X))))<=>((~happy(paul)|humble(paul))))&
(![X]:((~wise(X)<~>strong(X))=>~creative(X)))&
(![X]:(~tall(X)<=>(wise(X)<~>~humble(X))))&
(((humble(fred)|strong(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~old(X)<=>(happy(X)|~brave(X))))&
(![X]:(rich(X)<=>(~pat... | ~strong(paul) | [
"p6",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6506925042779261673834069
% SZS output start Proof for 6506925042779261673834069
7. ! [X0] : (rich(X0) <=> (patient(X0) | ~patient(X0))) [input p6]
19. ~curious(paul) | ~rich(paul) [input p18]
22. strong(paul) <~> curious(paul) [input p21]
23. ~strong(paul) [input hypothesis]
44. ! [X0] :... | 0 |
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