premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not wise is either wise or quiet and vice versa. If someone is both old and generous then lucy is either not calm or not strong. If someone is both funny and kind then someone is happy or calm. If someone is both happy and curious then someone is either not wise or not generous and vice versa. Everyone ... | Fred is not tall. | contradiction | (![X]:(~wise(X)<=>(wise(X)<~>quiet(X))))&
((?[X]:((old(X)&generous(X))))=>((~calm(lucy)<~>~strong(lucy))))&
((?[X]:((funny(X)&kind(X))))=>(?[X]:((happy(X)|calm(X)))))&
((?[X]:((happy(X)&curious(X))))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
(![X]:((~patient(X)&happy(X))<=>(~quiet(X)<~>~creative(X))))&
(((~quiet(john)<~>b... | ~tall(fred) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5669445634127736647221983
% SZS output start Proof for 5669445634127736647221983
1. ! [X0] : (~wise(X0) <=> (wise(X0) <~> quiet(X0))) [input p0]
7. ! [X0] : ((strong(X0) | ~tall(X0)) => ~quiet(X0)) [input p6]
20. ~tall(fred) [input hypothesis]
31. ! [X0] : (~quiet(X0) | (~strong(X0) & tal... | 0 |
If someone is old then someone is not generous or rich. Everyone who is either tall or brave is calm or not rich and vice versa. If someone is not rich then someone is generous and vice versa. If someone is either not rich or calm then someone is either happy or not rich and vice versa. If mary is both humble and not s... | Alice is brave. | contradiction | ((?[X]:(old(X)))=>(?[X]:((~generous(X)|rich(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(calm(X)|~rich(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(generous(X))))&
((?[X]:((~rich(X)<~>calm(X))))<=>(?[X]:((happy(X)<~>~rich(X)))))&
(((humble(mary)&~strong(mary)))<=>((old(mary)<~>~creative(mary))))&
((?[X]:(calm(X)))=>(?[X]:((~curious(X)... | brave(alice) | [
"p1",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8335196678578755904352995
% SZS output start Proof for 8335196678578755904352995
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~rich(X0) | calm(X0))) [input p1]
7. ! [X0] : (calm(X0) <=> (patient(X0) | wise(X0))) [input p6]
13. ! [X0] : ((patient(X0) | ~wise(X0)) => (~strong(X0) & calm(X0)))... | 0 |
If susan is both not strong and not rich then fred is both not strong and wise and vice versa.
If alice is either calm or brave then someone is tall and vice versa.
Everyone who is both old and not rich is tall or strong and vice versa.
Everyone who is either brave or strong is old and vice versa.
Everyone who is eithe... | Alice is old. | contradiction | (((~strong(susan)&~rich(susan)))<=>((~strong(fred)&wise(fred))))&
(((calm(alice)<~>brave(alice)))<=>(?[X]:(tall(X))))&
(![X]:((old(X)&~rich(X))<=>(tall(X)|strong(X))))&
(![X]:((brave(X)<~>strong(X))<=>old(X)))&
(![X]:((~curious(X)<~>~quiet(X))=>(~quiet(X)&generous(X))))&
((?[X]:((rich(X)&funny(X))))<=>(?[X]:((creative(... | old(alice) | [
"p2",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8604015322290422195420780
% SZS output start Proof for 8604015322290422195420780
3. ! [X0] : ((~rich(X0) & old(X0)) <=> (strong(X0) | tall(X0))) [input p2]
14. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (tall(X0) & generous(X0))) [input p13]
24. ~rich(alice) & ~tall(alice) [input p23]
25.... | 0 |
If john is both creative and quiet then mary is curious and vice versa.
If someone is either wise or kind then someone is both funny and calm and vice versa.
Everyone who is both rich and not calm is patient.
If mary is not brave or rich then susan is either generous or not old and vice versa.
If fred is both patient a... | Susan is not rich. | neutral | (((creative(john)&quiet(john)))<=>(curious(mary)))&
((?[X]:((wise(X)<~>kind(X))))<=>(?[X]:((funny(X)&calm(X)))))&
(![X]:((rich(X)&~calm(X))=>patient(X)))&
(((~brave(mary)|rich(mary)))<=>((generous(susan)<~>~old(susan))))&
(((patient(fred)&~wise(fred)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~generous(X)&~tall(X))=>wis... | ~rich(susan) | [] | null | 0 |
If susan is either not quiet or not calm then someone is either not generous or humble and vice versa.
Everyone who is both not curious and not happy is either patient or not tall.
If someone is kind or patient then someone is either quiet or not humble.
Everyone who is not kind or brave is either not humble or quiet a... | Paul is humble. | neutral | (((~quiet(susan)<~>~calm(susan)))<=>(?[X]:((~generous(X)<~>humble(X)))))&
(![X]:((~curious(X)&~happy(X))=>(patient(X)<~>~tall(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((~kind(X)|brave(X))<=>(~humble(X)<~>quiet(X))))&
((?[X]:(~wise(X)))=>(?[X]:(~humble(X))))&
(![X]:((~strong(X)|~ha... | humble(paul) | [] | null | 0 |
If someone is generous then someone is both not generous and strong.
Everyone who is not curious or quiet is curious and vice versa.
If someone is either not creative or humble then someone is curious.
If paul is either wise or not strong then alice is either humble or quiet.
If mary is funny then someone is either cur... | Mary is curious. | entailment | ((?[X]:(generous(X)))=>(?[X]:((~generous(X)&strong(X)))))&
(![X]:((~curious(X)|quiet(X))<=>curious(X)))&
((?[X]:((~creative(X)<~>humble(X))))=>(?[X]:(curious(X))))&
(((wise(paul)<~>~strong(paul)))=>((humble(alice)<~>quiet(alice))))&
((funny(mary))=>(?[X]:((curious(X)<~>patient(X)))))&
((?[X]:(~curious(X)))<=>((~strong(... | curious(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1687983516854490199567440
% SZS output start Proof for 1687983516854490199567440
2. ! [X0] : ((quiet(X0) | ~curious(X0)) <=> curious(X0)) [input p1]
21. ~curious(mary) [input hypothesis]
37. ! [X0] : (((quiet(X0) | ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~quiet(X0) & curious(X0)))... | 0 |
If someone is both generous and not creative then someone is both not generous and brave. If someone is either happy or not kind then paul is not old. If lucy is both not brave and wise then lucy is either not strong or strong. Everyone who is either quiet or not quiet is old. Everyone who is curious is not strong. Eve... | John is tall. | entailment | ((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:((happy(X)<~>~kind(X))))=>(~old(paul)))&
(((~brave(lucy)&wise(lucy)))=>((~strong(lucy)<~>strong(lucy))))&
(![X]:((quiet(X)<~>~quiet(X))=>old(X)))&
(![X]:(curious(X)=>~strong(X)))&
(![X]:((~tall(X)&brave(X))=>(~curious(X)&curious(X))))&
(![X... | tall(john) | [
"p1",
"p3",
"p5",
"p8",
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7648836876533184290868414
% SZS output start Proof for 7648836876533184290868414
2. ? [X0] : (happy(X0) <~> ~kind(X0)) => ~old(paul) [input p1]
4. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => old(X0)) [input p3]
6. ! [X0] : ((brave(X0) & ~tall(X0)) => (curious(X0) & ~curious(X0))) [input p5]
9... | 0 |
Everyone who is both not rich and strong is not creative.
If lucy is either not humble or not rich then susan is either not funny or brave.
Everyone who is both not generous and not calm is tall or strong.
Everyone who is not calm is old and vice versa.
If lucy is both strong and generous then paul is kind and vice ver... | Susan is humble. | entailment | (![X]:((~rich(X)&strong(X))=>~creative(X)))&
(((~humble(lucy)<~>~rich(lucy)))=>((~funny(susan)<~>brave(susan))))&
(![X]:((~generous(X)&~calm(X))=>(tall(X)|strong(X))))&
(![X]:(~calm(X)<=>old(X)))&
(((strong(lucy)&generous(lucy)))<=>(kind(paul)))&
(![X]:((~brave(X)&quiet(X))<=>humble(X)))&
(![X]:((~rich(X)|calm(X))<=>(w... | humble(susan) | [
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7187552046225277625808577
% SZS output start Proof for 7187552046225277625808577
4. ! [X0] : (~calm(X0) <=> old(X0)) [input p3]
7. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (humble(X0) & wise(X0))) [input p6]
14. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> ~old(X0)) [input p13]
23. ~humble(susan) [i... | 0 |
Everyone who is both brave and curious is either curious or not patient.
If someone is tall or not kind then alice is both not quiet and curious.
Everyone who is both not old and humble is both tall and not wise and vice versa.
Everyone who is both kind and not humble is both wise and creative and vice versa.
Everyone ... | Lucy is tall. | neutral | (![X]:((brave(X)&curious(X))=>(curious(X)<~>~patient(X))))&
((?[X]:((tall(X)|~kind(X))))=>((~quiet(alice)&curious(alice))))&
(![X]:((~old(X)&humble(X))<=>(tall(X)&~wise(X))))&
(![X]:((kind(X)&~humble(X))<=>(wise(X)&creative(X))))&
(![X]:((~creative(X)&~quiet(X))=>(wise(X)<~>humble(X))))&
(((old(fred)&creative(fred)))=>... | tall(lucy) | [] | null | 0 |
Everyone who is calm or old is strong or curious. Everyone who is either patient or not rich is both wise and rich. If someone is not generous or not quiet then someone is both not quiet and patient and vice versa. Everyone who is not funny is either not tall or not happy and vice versa. Everyone who is both happy and ... | Alice is not curious. | neutral | (![X]:((calm(X)|old(X))=>(strong(X)|curious(X))))&
(![X]:((patient(X)<~>~rich(X))=>(wise(X)&rich(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~funny(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((happy(X)&~wise(X))<=>(~patient(X)<~>~calm(X))))&
((?[X]:(funny(X)))=>(brave(fred)))&
(![X]:(... | ~curious(alice) | [] | null | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Fred is patient. | entailment | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | patient(fred) | [
"p6",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1974693037797941677991960
% SZS output start Proof for 1974693037797941677991960
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
9. ! [X0] : ((strong(X0) | quiet(X0)) => (~strong(X0) & ~wise(X0))) [input p8]
12. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (~calm(X0) | happy(... | 0 |
Everyone who is not patient or not generous is not generous.
Everyone who is brave is happy or brave.
Everyone who is either humble or happy is strong or humble.
If paul is either not kind or not happy then someone is both brave and happy and vice versa.
If someone is both not kind and brave then someone is calm or not... | Susan is generous. | contradiction | (![X]:((~patient(X)|~generous(X))=>~generous(X)))&
(![X]:(brave(X)=>(happy(X)|brave(X))))&
(![X]:((humble(X)<~>happy(X))=>(strong(X)|humble(X))))&
(((~kind(paul)<~>~happy(paul)))<=>(?[X]:((brave(X)&happy(X)))))&
((?[X]:((~kind(X)&brave(X))))=>(?[X]:((calm(X)|~happy(X)))))&
(![X]:((curious(X)|~quiet(X))<=>(~brave(X)<~>~... | generous(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3683253243834579001419792
% SZS output start Proof for 3683253243834579001419792
18. ~generous(susan) & ~wise(susan) [input p17]
24. generous(susan) [input hypothesis]
122. ~generous(susan) [cnf transformation 18]
130. generous(susan) [cnf transformation 24]
303. $false [subsumption resol... | 0 |
Everyone who is not quiet or kind is creative and vice versa.
If john is both wise and humble then susan is both wise and not quiet.
Everyone who is not patient or funny is funny or tall.
Everyone who is both calm and not creative is either curious or not quiet.
Everyone who is happy is not quiet or tall.
If someone is... | Susan is not kind. | neutral | (![X]:((~quiet(X)|kind(X))<=>creative(X)))&
(((wise(john)&humble(john)))=>((wise(susan)&~quiet(susan))))&
(![X]:((~patient(X)|funny(X))=>(funny(X)|tall(X))))&
(![X]:((calm(X)&~creative(X))=>(curious(X)<~>~quiet(X))))&
(![X]:(happy(X)=>(~quiet(X)|tall(X))))&
((?[X]:((old(X)|calm(X))))=>((brave(lucy)&~calm(lucy))))&
((?[... | ~kind(susan) | [] | null | 0 |
Everyone who is not brave or happy is both quiet and not brave.
Everyone who is either not curious or strong is either not patient or happy.
If someone is both generous and not tall then alice is patient or not humble.
Everyone who is either happy or not old is both generous and creative and vice versa.
If john is both... | John is not wise. | neutral | (![X]:((~brave(X)|happy(X))=>(quiet(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(~patient(X)<~>happy(X))))&
((?[X]:((generous(X)&~tall(X))))=>((patient(alice)|~humble(alice))))&
(![X]:((happy(X)<~>~old(X))<=>(generous(X)&creative(X))))&
(((old(john)&tall(john)))<=>(?[X]:((~calm(X)|~quiet(X)))))&
((~humble(alice)... | ~wise(john) | [] | null | 0 |
Everyone who is either not old or not happy is either not creative or not humble.
If paul is wise then someone is not strong.
Everyone who is not calm is kind.
If someone is either quiet or brave then alice is quiet or not rich and vice versa.
Everyone who is not strong is not rich.
Everyone who is curious is quiet.
Ev... | Paul is not generous. | neutral | (![X]:((~old(X)<~>~happy(X))=>(~creative(X)<~>~humble(X))))&
((wise(paul))=>(?[X]:(~strong(X))))&
(![X]:(~calm(X)=>kind(X)))&
((?[X]:((quiet(X)<~>brave(X))))<=>((quiet(alice)|~rich(alice))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~creative(X)<=>(curious(X)<~>quiet(X))))&
(![X]:(happy(X)<=... | ~generous(paul) | [] | null | 0 |
Everyone who is not quiet or not calm is funny or rich.
Everyone who is generous is rich or not generous and vice versa.
If paul is old or wise then fred is not calm or not generous.
Everyone who is either generous or not kind is humble or not rich.
If someone is old then mary is not tall or strong.
If someone is not b... | Mary is generous. | entailment | (![X]:((~quiet(X)|~calm(X))=>(funny(X)|rich(X))))&
(![X]:(generous(X)<=>(rich(X)|~generous(X))))&
(((old(paul)|wise(paul)))=>((~calm(fred)|~generous(fred))))&
(![X]:((generous(X)<~>~kind(X))=>(humble(X)|~rich(X))))&
((?[X]:(old(X)))=>((~tall(mary)|strong(mary))))&
((?[X]:((~brave(X)|humble(X))))=>((~tall(susan)|funny(s... | generous(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2582355993469613025843878
% SZS output start Proof for 2582355993469613025843878
2. ! [X0] : (generous(X0) <=> (~generous(X0) | rich(X0))) [input p1]
24. ~generous(mary) [input hypothesis]
43. ! [X0] : ((generous(X0) | (generous(X0) & ~rich(X0))) & ((~generous(X0) | rich(X0)) | ~generous(... | 0 |
If mary is calm then alice is both not curious and not brave and vice versa.
Everyone who is not brave is either not curious or tall.
Everyone who is either quiet or funny is patient or tall.
Everyone who is both not patient and not happy is either funny or not tall.
Everyone who is not brave is rich and vice versa.
If... | Susan is wise. | neutral | ((calm(mary))<=>((~curious(alice)&~brave(alice))))&
(![X]:(~brave(X)=>(~curious(X)<~>tall(X))))&
(![X]:((quiet(X)<~>funny(X))=>(patient(X)|tall(X))))&
(![X]:((~patient(X)&~happy(X))=>(funny(X)<~>~tall(X))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susa... | wise(susan) | [] | null | 0 |
Everyone who is not old is not patient or patient and vice versa.
If john is both not strong and not wise then someone is both curious and brave and vice versa.
If john is quiet then someone is both not quiet and funny and vice versa.
Everyone who is tall is either not brave or quiet and vice versa.
If fred is generous... | Paul is happy. | contradiction | (![X]:(~old(X)<=>(~patient(X)|patient(X))))&
(((~strong(john)&~wise(john)))<=>(?[X]:((curious(X)&brave(X)))))&
((quiet(john))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:(tall(X)<=>(~brave(X)<~>quiet(X))))&
(((generous(fred)|wise(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)&calm(X))=>(~tall(X)&old(X))))&
((?[X]:((curiou... | happy(paul) | [
"p0",
"p3",
"p5",
"p7",
"p9",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 63050374604920177110505
% SZS output start Proof for 63050374604920177110505
1. ! [X0] : (~old(X0) <=> (patient(X0) | ~patient(X0))) [input p0]
4. ! [X0] : (tall(X0) <=> (~brave(X0) <~> quiet(X0))) [input p3]
6. ! [X0] : ((calm(X0) & happy(X0)) => (old(X0) & ~tall(X0))) [input p5]
8. ! [X... | 0 |
If john is either not creative or not happy then mary is not funny.
Everyone who is not wise is both not calm and not funny.
If alice is both not strong and curious then john is either brave or patient and vice versa.
Everyone who is both not old and not strong is both old and not kind and vice versa.
If alice is calm ... | Lucy is not patient. | entailment | (((~creative(john)<~>~happy(john)))=>(~funny(mary)))&
(![X]:(~wise(X)=>(~calm(X)&~funny(X))))&
(((~strong(alice)&curious(alice)))<=>((brave(john)<~>patient(john))))&
(![X]:((~old(X)&~strong(X))<=>(old(X)&~kind(X))))&
(((calm(alice)|creative(alice)))=>(?[X]:(humble(X))))&
((?[X]:((creative(X)|generous(X))))<=>((~humble(... | ~patient(lucy) | [
"p1",
"p5",
"p6",
"p10",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8088811359643908908698318
% SZS output start Proof for 8088811359643908908698318
2. ! [X0] : (~wise(X0) => (~funny(X0) & ~calm(X0))) [input p1]
6. ? [X0] : (generous(X0) | creative(X0)) <=> (funny(lucy) | ~humble(lucy)) [input p5]
7. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> (generous(X0) ... | 0 |
Everyone who is either not brave or not kind is either curious or wise. If susan is both not tall and curious then alice is both not kind and patient. Everyone who is either not brave or brave is both not tall and funny and vice versa. If paul is brave then someone is curious or not creative and vice versa. Everyone wh... | Mary is humble. | entailment | (![X]:((~brave(X)<~>~kind(X))=>(curious(X)<~>wise(X))))&
(((~tall(susan)&curious(susan)))=>((~kind(alice)&patient(alice))))&
(![X]:((~brave(X)<~>brave(X))<=>(~tall(X)&funny(X))))&
((brave(paul))<=>(?[X]:((curious(X)|~creative(X)))))&
(![X]:((~calm(X)<~>~brave(X))<=>(~calm(X)|quiet(X))))&
(((~funny(lucy)|curious(lucy)))... | humble(mary) | [
"p2",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9053224946940852352956935
% SZS output start Proof for 9053224946940852352956935
3. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (funny(X0) & ~tall(X0))) [input p2]
9. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (patient(X0) | ~happy(X0))) [input p8]
12. ! [X0] : ((~tall(X0) | ~old(X0)) <=> h... | 0 |
Everyone who is not wise or tall is both not rich and not humble and vice versa. Everyone who is either not strong or generous is both funny and brave. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is eith... | Lucy is funny. | neutral | (![X]:((~wise(X)|tall(X))<=>(~rich(X)&~humble(X))))&
(![X]:((~strong(X)<~>generous(X))=>(funny(X)&brave(X))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]... | funny(lucy) | [] | null | 0 |
If someone is not happy then fred is strong. If susan is both calm and happy then mary is both old and patient. Everyone who is not generous or calm is not kind. Everyone who is not creative is patient or not curious and vice versa. If lucy is not curious or happy then someone is generous. Everyone who is either not st... | Lucy is not funny. | contradiction | ((?[X]:(~happy(X)))=>(strong(fred)))&
(((calm(susan)&happy(susan)))=>((old(mary)&patient(mary))))&
(![X]:((~generous(X)|calm(X))=>~kind(X)))&
(![X]:(~creative(X)<=>(patient(X)|~curious(X))))&
(((~curious(lucy)|happy(lucy)))=>(?[X]:(generous(X))))&
(![X]:((~strong(X)<~>curious(X))=>~strong(X)))&
((?[X]:((~generous(X)<~>... | ~funny(lucy) | [
"p2",
"p5",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7536750562396251209218707
% SZS output start Proof for 7536750562396251209218707
3. ! [X0] : ((calm(X0) | ~generous(X0)) => ~kind(X0)) [input p2]
6. ! [X0] : ((~strong(X0) <~> curious(X0)) => ~strong(X0)) [input p5]
9. ? [X0] : (wise(X0) | calm(X0)) <=> ? [X0] : (strong(X0) <~> kind(X0)) ... | 0 |
If john is not generous then alice is not humble or wise and vice versa.
Everyone who is not tall is not curious and vice versa.
Everyone who is not happy or not generous is patient or not tall and vice versa.
If someone is not wise then alice is both tall and not strong and vice versa.
Everyone who is kind is not gene... | John is not happy. | neutral | ((~generous(john))<=>((~humble(alice)|wise(alice))))&
(![X]:(~tall(X)<=>~curious(X)))&
(![X]:((~happy(X)|~generous(X))<=>(patient(X)|~tall(X))))&
((?[X]:(~wise(X)))<=>((tall(alice)&~strong(alice))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:((~generous(X)&~tall(X))<=>(~strong(X)<~>~humble(X))))&
(![X]:((patient(X)|~old(X... | ~happy(john) | [] | null | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Fred is strong. | contradiction | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | strong(fred) | [
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3534543557259865250152242
% SZS output start Proof for 3534543557259865250152242
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~creative(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | st... | 0 |
Everyone who is creative or humble is not humble.
Everyone who is either not tall or not old is either not old or happy.
Everyone who is not kind is not quiet or wise.
If john is either not quiet or not creative then lucy is quiet and vice versa.
If fred is either not patient or not curious then someone is not strong o... | Lucy is old. | contradiction | (![X]:((creative(X)|humble(X))=>~humble(X)))&
(![X]:((~tall(X)<~>~old(X))=>(~old(X)<~>happy(X))))&
(![X]:(~kind(X)=>(~quiet(X)|wise(X))))&
(((~quiet(john)<~>~creative(john)))<=>(quiet(lucy)))&
(((~patient(fred)<~>~curious(fred)))<=>(?[X]:((~strong(X)|~calm(X)))))&
(![X]:(creative(X)<=>(~curious(X)&~funny(X))))&
(![X]:(... | old(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 472800978244159003057931
% SZS output start Proof for 472800978244159003057931
1. ! [X0] : ((humble(X0) | creative(X0)) => ~humble(X0)) [input p0]
4. (~quiet(john) <~> ~creative(john)) <=> quiet(lucy) [input p3]
6. ! [X0] : (creative(X0) <=> (~funny(X0) & ~curious(X0))) [input p5]
7. ! [X... | 0 |
If john is both rich and strong then paul is happy or creative and vice versa. If john is humble or not funny then someone is curious or not strong and vice versa. If someone is not creative or not old then paul is not funny. If lucy is brave then someone is not brave and vice versa. Everyone who is both not curious an... | Lucy is funny. | entailment | (((rich(john)&strong(john)))<=>((happy(paul)|creative(paul))))&
(((humble(john)|~funny(john)))<=>(?[X]:((curious(X)|~strong(X)))))&
((?[X]:((~creative(X)|~old(X))))=>(~funny(paul)))&
((brave(lucy))<=>(?[X]:(~brave(X))))&
(![X]:((~curious(X)&happy(X))=>(~kind(X)&calm(X))))&
(((~happy(fred)&~tall(fred)))=>(?[X]:(tall(X))... | funny(lucy) | [
"p6",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 531877189321187094887998
% SZS output start Proof for 531877189321187094887998
7. ? [X0] : (~old(X0) | ~funny(X0)) => ~humble(lucy) [input p6]
9. ! [X0] : ((humble(X0) | rich(X0)) <=> (curious(X0) | ~rich(X0))) [input p8]
11. (~calm(alice) | ~strong(alice)) => (~rich(lucy) | funny(lucy)) ... | 0 |
Everyone who is wise is both funny and not quiet and vice versa.
Everyone who is old or kind is humble or generous and vice versa.
Everyone who is either not wise or not patient is both not happy and wise and vice versa.
Everyone who is both rich and creative is either not humble or brave and vice versa.
Everyone who i... | Fred is not patient. | entailment | (![X]:(wise(X)<=>(funny(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))<=>(humble(X)|generous(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((rich(X)&creative(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)|quiet(X))=>(~humble(X)|~wise(X))))&
(![X]:((quiet(X)&old(X))=>(rich(X)|curious(X))))&
(![X... | ~patient(fred) | [
"p2",
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8730719802057144749673427
% SZS output start Proof for 8730719802057144749673427
3. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (wise(X0) & ~happy(X0))) [input p2]
7. ! [X0] : ((strong(X0) <~> ~quiet(X0)) <=> (~generous(X0) <~> quiet(X0))) [input p6]
14. ! [X0] : ((generous(X0) <~> patient... | 0 |
If susan is either not creative or funny then someone is either not brave or tall.
If someone is wise or patient then someone is both funny and rich.
Everyone who is both strong and creative is brave or not happy and vice versa.
Everyone who is both not funny and funny is not tall and vice versa.
Everyone who is not ta... | Lucy is not patient. | entailment | (((~creative(susan)<~>funny(susan)))=>(?[X]:((~brave(X)<~>tall(X)))))&
((?[X]:((wise(X)|patient(X))))=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((strong(X)&creative(X))<=>(brave(X)|~happy(X))))&
(![X]:((~funny(X)&funny(X))<=>~tall(X)))&
(![X]:(~tall(X)=>(quiet(X)|~humble(X))))&
((~tall(mary))<=>(?[X]:((~rich(X)|~brave(X))))... | ~patient(lucy) | [
"p2",
"p3",
"p5",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2237208160800350008848007
% SZS output start Proof for 2237208160800350008848007
3. ! [X0] : ((creative(X0) & strong(X0)) <=> (~happy(X0) | brave(X0))) [input p2]
4. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~tall(X0)) [input p3]
6. ~tall(mary) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [input p5... | 0 |
Everyone who is either not calm or calm is not happy.
If someone is both not generous and brave then lucy is old and vice versa.
Everyone who is both not wise and not rich is both curious and quiet and vice versa.
Everyone who is both not tall and quiet is tall or creative and vice versa.
Everyone who is rich or not fu... | Paul is not tall. | entailment | (![X]:((~calm(X)<~>calm(X))=>~happy(X)))&
((?[X]:((~generous(X)&brave(X))))<=>(old(lucy)))&
(![X]:((~wise(X)&~rich(X))<=>(curious(X)&quiet(X))))&
(![X]:((~tall(X)&quiet(X))<=>(tall(X)|creative(X))))&
(![X]:((rich(X)|~funny(X))<=>(~wise(X)<~>~funny(X))))&
((?[X]:((wise(X)<~>funny(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((... | ~tall(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7073777912143257899415621
% SZS output start Proof for 7073777912143257899415621
4. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> (creative(X0) | tall(X0))) [input p3]
24. tall(paul) [input hypothesis]
39. ! [X0] : (((quiet(X0) & ~tall(X0)) | (~creative(X0) & ~tall(X0))) & ((creative(X0) | tall(X... | 0 |
If lucy is not rich then susan is happy or not creative.
Everyone who is funny or calm is both wise and happy and vice versa.
If someone is either curious or not humble then susan is both not happy and happy.
Everyone who is both humble and not brave is creative or brave.
If mary is not wise then someone is not old and... | Susan is not strong. | entailment | ((~rich(lucy))=>((happy(susan)|~creative(susan))))&
(![X]:((funny(X)|calm(X))<=>(wise(X)&happy(X))))&
((?[X]:((curious(X)<~>~humble(X))))=>((~happy(susan)&happy(susan))))&
(![X]:((humble(X)&~brave(X))=>(creative(X)|brave(X))))&
((~wise(mary))<=>(?[X]:(~old(X))))&
(![X]:((wise(X)<~>~strong(X))<=>(~curious(X)|curious(X))... | ~strong(susan) | [
"p1",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1372622035489507820109980
% SZS output start Proof for 1372622035489507820109980
2. ! [X0] : ((calm(X0) | funny(X0)) <=> (happy(X0) & wise(X0))) [input p1]
6. ! [X0] : ((wise(X0) <~> ~strong(X0)) <=> (curious(X0) | ~curious(X0))) [input p5]
9. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> (~... | 0 |
Everyone who is not patient is not strong.
If someone is not kind then someone is calm or old and vice versa.
Everyone who is not rich is generous or patient and vice versa.
Everyone who is not patient is not happy.
Everyone who is not generous is both rich and humble.
Everyone who is both not kind and old is rich or b... | Alice is not funny. | entailment | (![X]:(~patient(X)=>~strong(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((calm(X)|old(X)))))&
(![X]:(~rich(X)<=>(generous(X)|patient(X))))&
(![X]:(~patient(X)=>~happy(X)))&
(![X]:(~generous(X)=>(rich(X)&humble(X))))&
(![X]:((~kind(X)&old(X))<=>(rich(X)|brave(X))))&
(![X]:(~old(X)<=>wise(X)))&
((?[X]:((generous(X)|~strong(X))))<=>... | ~funny(alice) | [
"p4",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2786502126913186924679627
% SZS output start Proof for 2786502126913186924679627
5. ! [X0] : (~generous(X0) => (humble(X0) & rich(X0))) [input p4]
8. ? [X0] : (~strong(X0) | generous(X0)) <=> (~funny(alice) & humble(alice)) [input p7]
9. ! [X0] : (curious(X0) <=> (~happy(X0) <~> happy(X0)... | 0 |
Everyone who is wise or not generous is not curious and vice versa. Everyone who is not tall is not quiet and vice versa. If paul is brave then someone is old. Everyone who is either old or humble is both funny and not quiet. Everyone who is not curious or generous is either generous or brave. If someone is either old ... | Paul is brave. | entailment | (![X]:((wise(X)|~generous(X))<=>~curious(X)))&
(![X]:(~tall(X)<=>~quiet(X)))&
((brave(paul))=>(?[X]:(old(X))))&
(![X]:((old(X)<~>humble(X))=>(funny(X)&~quiet(X))))&
(![X]:((~curious(X)|generous(X))=>(generous(X)<~>brave(X))))&
((?[X]:((old(X)<~>~brave(X))))<=>((~quiet(susan)|~tall(susan))))&
(![X]:(patient(X)=>(~curiou... | brave(paul) | [
"p0",
"p4",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4597456311630253581708781
% SZS output start Proof for 4597456311630253581708781
1. ! [X0] : ((~generous(X0) | wise(X0)) <=> ~curious(X0)) [input p0]
5. ! [X0] : ((generous(X0) | ~curious(X0)) => (generous(X0) <~> brave(X0))) [input p4]
11. ! [X0] : (humble(X0) <=> (generous(X0) | calm(X0... | 0 |
If someone is both not brave and old then alice is not creative or not tall and vice versa. Everyone who is both tall and not kind is patient and vice versa. Everyone who is generous is brave or funny and vice versa. Everyone who is strong or not funny is not brave. Everyone who is not tall is both curious and funny. E... | Alice is not generous. | neutral | ((?[X]:((~brave(X)&old(X))))<=>((~creative(alice)|~tall(alice))))&
(![X]:((tall(X)&~kind(X))<=>patient(X)))&
(![X]:(generous(X)<=>(brave(X)|funny(X))))&
(![X]:((strong(X)|~funny(X))=>~brave(X)))&
(![X]:(~tall(X)=>(curious(X)&funny(X))))&
(![X]:((~humble(X)&~happy(X))=>(generous(X)<~>~rich(X))))&
(![X]:((~kind(X)|creati... | ~generous(alice) | [] | null | 0 |
Everyone who is not rich or not calm is patient and vice versa. Everyone who is not tall is both calm and not rich. If someone is both not happy and brave then someone is old and vice versa. Everyone who is quiet or generous is calm or humble and vice versa. Everyone who is patient or happy is not generous and vice ver... | Fred is not tall. | contradiction | (![X]:((~rich(X)|~calm(X))<=>patient(X)))&
(![X]:(~tall(X)=>(calm(X)&~rich(X))))&
((?[X]:((~happy(X)&brave(X))))<=>(?[X]:(old(X))))&
(![X]:((quiet(X)|generous(X))<=>(calm(X)|humble(X))))&
(![X]:((patient(X)|happy(X))<=>~generous(X)))&
(((~kind(alice)&~curious(alice)))<=>(?[X]:((~tall(X)<~>~rich(X)))))&
((?[X]:(kind(X))... | ~tall(fred) | [
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5582762158128585970697993
% SZS output start Proof for 5582762158128585970697993
2. ! [X0] : (~tall(X0) => (~rich(X0) & calm(X0))) [input p1]
17. rich(fred) [input p16]
25. ~tall(fred) [input hypothesis]
31. ! [X0] : ((~rich(X0) & calm(X0)) | tall(X0)) [ennf transformation 2]
97. ~rich(X0... | 0 |
If someone is old then mary is both not tall and strong.
Everyone who is either wise or humble is both patient and creative and vice versa.
If someone is either humble or brave then mary is not patient or generous.
Everyone who is not generous or not creative is not rich.
If someone is either not rich or curious then s... | Mary is not tall. | entailment | ((?[X]:(old(X)))=>((~tall(mary)&strong(mary))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X))))=>((~patient(mary)|generous(mary))))&
(![X]:((~generous(X)|~creative(X))=>~rich(X)))&
((?[X]:((~rich(X)<~>curious(X))))<=>(?[X]:((curious(X)<~>~patient(X)))))&
((?[X]:((~strong(X)&... | ~tall(mary) | [
"p0",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8571243901298915020403106
% SZS output start Proof for 8571243901298915020403106
1. ? [X0] : old(X0) => (strong(mary) & ~tall(mary)) [input p0]
8. ? [X0] : creative(X0) => ? [X0] : (~brave(X0) & brave(X0)) [input p7]
12. ? [X0] : (~patient(X0) | old(X0)) => ? [X0] : (~old(X0) <~> ~creativ... | 0 |
Everyone who is both not funny and not kind is either quiet or happy and vice versa.
Everyone who is either patient or not calm is not kind or not curious and vice versa.
If alice is not calm or old then someone is either funny or not tall and vice versa.
If someone is calm or humble then someone is both funny and happ... | Mary is not funny. | neutral | (![X]:((~funny(X)&~kind(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(~kind(X)|~curious(X))))&
(((~calm(alice)|old(alice)))<=>(?[X]:((funny(X)<~>~tall(X)))))&
((?[X]:((calm(X)|humble(X))))=>(?[X]:((funny(X)&happy(X)))))&
(![X]:(~generous(X)<=>(brave(X)&~kind(X))))&
(((rich(lucy)|humble(lucy)))=>(?[X]... | ~funny(mary) | [] | null | 0 |
Everyone who is both not generous and calm is both not wise and not rich.
If someone is either patient or not strong then someone is both not happy and brave and vice versa.
If john is not kind then someone is both kind and not calm and vice versa.
If someone is happy or kind then someone is either not kind or curious.... | John is tall. | neutral | (![X]:((~generous(X)&calm(X))=>(~wise(X)&~rich(X))))&
((?[X]:((patient(X)<~>~strong(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
((~kind(john))<=>(?[X]:((kind(X)&~calm(X)))))&
((?[X]:((happy(X)|kind(X))))=>(?[X]:((~kind(X)<~>curious(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(strong(X)<~>curious(X))))&
(((~kind(paul)|brave(pa... | tall(john) | [] | null | 0 |
Everyone who is humble is strong or quiet. Everyone who is tall is both not curious and old. If someone is both not tall and generous then someone is both not humble and happy. If fred is either not strong or rich then someone is either curious or tall. Everyone who is both humble and not old is both not generous and c... | John is not funny. | contradiction | (![X]:(humble(X)=>(strong(X)|quiet(X))))&
(![X]:(tall(X)=>(~curious(X)&old(X))))&
((?[X]:((~tall(X)&generous(X))))=>(?[X]:((~humble(X)&happy(X)))))&
(((~strong(fred)<~>rich(fred)))=>(?[X]:((curious(X)<~>tall(X)))))&
(![X]:((humble(X)&~old(X))<=>(~generous(X)&curious(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~generou... | ~funny(john) | [
"p1",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8105679741547959373171605
% SZS output start Proof for 8105679741547959373171605
2. ! [X0] : (tall(X0) => (old(X0) & ~curious(X0))) [input p1]
6. ! [X0] : (~tall(X0) <=> funny(X0)) [input p5]
11. ! [X0] : ((tall(X0) & ~tall(X0)) <=> old(X0)) [input p10]
25. ~funny(john) [input hypothesis]... | 0 |
If susan is quiet then someone is calm and vice versa.
If someone is both not kind and curious then someone is either generous or not curious.
If someone is not rich then paul is either creative or not patient.
Everyone who is either not happy or generous is curious or strong.
Everyone who is both not patient and gener... | Alice is creative. | entailment | ((quiet(susan))<=>(?[X]:(calm(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:(~rich(X)))=>((creative(paul)<~>~patient(paul))))&
(![X]:((~happy(X)<~>generous(X))=>(curious(X)|strong(X))))&
(![X]:((~patient(X)&generous(X))=>~creative(X)))&
(((humble(susan)&~strong(susan)))=>((old(lu... | creative(alice) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 749648820443303130355933
% SZS output start Proof for 749648820443303130355933
10. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> creative(X0)) [input p9]
18. ~generous(alice) & happy(alice) [input p17]
25. ~creative(alice) [input hypothesis]
54. ! [X0] : (((~kind(X0) | ~generous(X0)) | ~creat... | 0 |
If john is either not generous or not quiet then someone is either not wise or not curious. Everyone who is both not rich and kind is not funny or old. If someone is both patient and tall then someone is not quiet or not curious. Everyone who is not kind or creative is either curious or not generous and vice versa. Eve... | Mary is not patient. | contradiction | (((~generous(john)<~>~quiet(john)))=>(?[X]:((~wise(X)<~>~curious(X)))))&
(![X]:((~rich(X)&kind(X))=>(~funny(X)|old(X))))&
((?[X]:((patient(X)&tall(X))))=>(?[X]:((~quiet(X)|~curious(X)))))&
(![X]:((~kind(X)|creative(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((~funny(X)|generous(X))<=>(kind(X)|patient(X))))&
(![X]:((str... | ~patient(mary) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8326424446383361218628516
% SZS output start Proof for 8326424446383361218628516
4. ! [X0] : ((creative(X0) | ~kind(X0)) <=> (curious(X0) <~> ~generous(X0))) [input p3]
5. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (patient(X0) | kind(X0))) [input p4]
10. ! [X0] : ((generous(X0) <~> funny(... | 0 |
If alice is either humble or calm then lucy is not generous or humble and vice versa.
Everyone who is patient or not calm is not old or old and vice versa.
If john is both rich and not wise then someone is happy.
Everyone who is both kind and not tall is tall.
If someone is both not patient and quiet then mary is gener... | Alice is curious. | contradiction | (((humble(alice)<~>calm(alice)))<=>((~generous(lucy)|humble(lucy))))&
(![X]:((patient(X)|~calm(X))<=>(~old(X)|old(X))))&
(((rich(john)&~wise(john)))=>(?[X]:(happy(X))))&
(![X]:((kind(X)&~tall(X))=>tall(X)))&
((?[X]:((~patient(X)&quiet(X))))=>(generous(mary)))&
(((~curious(john)&humble(john)))<=>((~calm(john)&quiet(john... | curious(alice) | [
"p3",
"p6",
"p7",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2478783432770093796958992
% SZS output start Proof for 2478783432770093796958992
4. ! [X0] : ((~tall(X0) & kind(X0)) => tall(X0)) [input p3]
7. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~funny(X0) & calm(X0))) [input p6]
8. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (~kind(X0) & wise(X0))) [inp... | 0 |
Everyone who is not creative or not wise is both not brave and happy.
If someone is both kind and funny then someone is not tall or not strong and vice versa.
If someone is both not strong and quiet then someone is both happy and kind and vice versa.
Everyone who is both not quiet and old is either not generous or not ... | Mary is creative. | entailment | (![X]:((~creative(X)|~wise(X))=>(~brave(X)&happy(X))))&
((?[X]:((kind(X)&funny(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
((?[X]:((~strong(X)&quiet(X))))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~quiet(X)&old(X))<=>(~generous(X)<~>~funny(X))))&
(![X]:((~funny(X)&tall(X))=>(~brave(X)&creative(X))))&
(![X]:((~rich(X)<~>~wis... | creative(mary) | [
"p0",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 34278398751872790328863
% SZS output start Proof for 34278398751872790328863
1. ! [X0] : ((~wise(X0) | ~creative(X0)) => (happy(X0) & ~brave(X0))) [input p0]
11. ! [X0] : (happy(X0) <=> (humble(X0) | brave(X0))) [input p10]
13. ~brave(fred) <=> (patient(mary) & creative(mary)) [input p12]... | 0 |
Everyone who is not patient or not wise is tall or not funny. Everyone who is both creative and happy is either not humble or patient. If someone is wise or strong then someone is not tall or quiet and vice versa. If someone is rich then paul is either rich or tall. Everyone who is old or curious is calm or funny and v... | Alice is wise. | neutral | (![X]:((~patient(X)|~wise(X))=>(tall(X)|~funny(X))))&
(![X]:((creative(X)&happy(X))=>(~humble(X)<~>patient(X))))&
((?[X]:((wise(X)|strong(X))))<=>(?[X]:((~tall(X)|quiet(X)))))&
((?[X]:(rich(X)))=>((rich(paul)<~>tall(paul))))&
(![X]:((old(X)|curious(X))<=>(calm(X)|funny(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)<~... | wise(alice) | [] | null | 0 |
Everyone who is both not quiet and brave is both not patient and creative and vice versa. Everyone who is not generous or quiet is not strong or humble. If lucy is either not old or calm then someone is both brave and not curious and vice versa. If mary is not humble or old then someone is not quiet and vice versa. If ... | Lucy is not kind. | contradiction | (![X]:((~quiet(X)&brave(X))<=>(~patient(X)&creative(X))))&
(![X]:((~generous(X)|quiet(X))=>(~strong(X)|humble(X))))&
(((~old(lucy)<~>calm(lucy)))<=>(?[X]:((brave(X)&~curious(X)))))&
(((~humble(mary)|old(mary)))<=>(?[X]:(~quiet(X))))&
(((~wise(susan)&~humble(susan)))=>(?[X]:((~old(X)|~tall(X)))))&
((~humble(alice))<=>((... | ~kind(lucy) | [
"p0",
"p8",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8890089674750719140958036
% SZS output start Proof for 8890089674750719140958036
1. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (creative(X0) & ~patient(X0))) [input p0]
9. ? [X0] : (~funny(X0) | quiet(X0)) <=> (quiet(lucy) <~> ~creative(lucy)) [input p8]
12. ! [X0] : (~wise(X0) => creative(X0... | 0 |
If someone is either not rich or creative then lucy is tall or not creative and vice versa.
If paul is old or generous then someone is not generous and vice versa.
Everyone who is creative or not wise is happy or not old and vice versa.
Everyone who is both strong and patient is old and vice versa.
Everyone who is both... | Susan is not generous. | contradiction | ((?[X]:((~rich(X)<~>creative(X))))<=>((tall(lucy)|~creative(lucy))))&
(((old(paul)|generous(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|~wise(X))<=>(happy(X)|~old(X))))&
(![X]:((strong(X)&patient(X))<=>old(X)))&
(![X]:((happy(X)&~calm(X))<=>(brave(X)|humble(X))))&
(![X]:((rich(X)&calm(X))=>(~wise(X)|~happy(X)... | ~generous(susan) | [
"p4",
"p7",
"p14",
"p17",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 809800677567772742193084
% SZS output start Proof for 809800677567772742193084
5. ! [X0] : ((~calm(X0) & happy(X0)) <=> (humble(X0) | brave(X0))) [input p4]
8. ! [X0] : (strong(X0) => (generous(X0) | ~wise(X0))) [input p7]
15. ! [X0] : (~happy(X0) <=> (~wise(X0) | ~strong(X0))) [input p14... | 0 |
If someone is not wise or kind then someone is not humble.
If someone is both not happy and not funny then someone is both wise and not kind and vice versa.
If mary is not happy then alice is either not tall or humble.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then... | John is not wise. | entailment | ((?[X]:((~wise(X)|kind(X))))=>(?[X]:(~humble(X))))&
((?[X]:((~happy(X)&~funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
((~happy(mary))=>((~tall(alice)<~>humble(alice))))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(qu... | ~wise(john) | [
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5555290982317163795631433
% SZS output start Proof for 5555290982317163795631433
9. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p8]
14. ! [X0] : ((wise(X0) | patient(X0)) <=> quiet(X0)) [input p13]
15. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(... | 0 |
Everyone who is creative is either strong or old.
If lucy is not creative or not happy then mary is both funny and brave.
Everyone who is not calm or not quiet is humble.
If someone is patient then someone is both not rich and strong and vice versa.
Everyone who is not rich or patient is either generous or not creative... | Mary is not creative. | entailment | (![X]:(creative(X)=>(strong(X)<~>old(X))))&
(((~creative(lucy)|~happy(lucy)))=>((funny(mary)&brave(mary))))&
(![X]:((~calm(X)|~quiet(X))=>humble(X)))&
((?[X]:(patient(X)))<=>(?[X]:((~rich(X)&strong(X)))))&
(![X]:((~rich(X)|patient(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(tall(X)))<=>((quiet(fred)<~>brave(fred))))&... | ~creative(mary) | [
"p3",
"p4",
"p6",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4037956457050799459491015
% SZS output start Proof for 4037956457050799459491015
4. ? [X0] : patient(X0) <=> ? [X0] : (strong(X0) & ~rich(X0)) [input p3]
5. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p4]
7. ! [X0] : ((creative(X0) <~> quiet(X0)) <=> ~... | 0 |
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not creative and vice versa.
If someone is either calm or wise then fred is both rich and not curio... | Fred is curious. | contradiction | (![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~rich(X)&~quiet(X))<=>(strong(X)|~creative(X))))&
(((~tall(mary)|funny(m... | curious(fred) | [
"p1",
"p3",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1077306145360783548363622
% SZS output start Proof for 1077306145360783548363622
2. ! [X0] : ((kind(X0) | humble(X0)) <=> (tall(X0) & calm(X0))) [input p1]
4. ? [X0] : (calm(X0) <~> wise(X0)) => (~curious(fred) & rich(fred)) [input p3]
9. ! [X0] : ((~calm(X0) | old(X0)) => (humble(X0) & ~... | 0 |
Everyone who is either not quiet or strong is either humble or not funny. If alice is either calm or not brave then fred is not brave and vice versa. Everyone who is either not wise or not tall is strong and vice versa. If someone is not rich or not patient then someone is not funny. If john is not calm then someone is... | Alice is not generous. | neutral | (![X]:((~quiet(X)<~>strong(X))=>(humble(X)<~>~funny(X))))&
(((calm(alice)<~>~brave(alice)))<=>(~brave(fred)))&
(![X]:((~wise(X)<~>~tall(X))<=>strong(X)))&
((?[X]:((~rich(X)|~patient(X))))=>(?[X]:(~funny(X))))&
((~calm(john))=>(?[X]:(~kind(X))))&
(![X]:((wise(X)<~>old(X))<=>(~calm(X)<~>~old(X))))&
(![X]:(creative(X)<=>(... | ~generous(alice) | [] | null | 0 |
Everyone who is either kind or not tall is both not humble and not curious and vice versa.
Everyone who is either generous or not tall is both not patient and brave.
If fred is not curious or funny then lucy is not generous or patient and vice versa.
If lucy is not rich then fred is strong or funny.
Everyone who is cal... | John is not brave. | neutral | (![X]:((kind(X)<~>~tall(X))<=>(~humble(X)&~curious(X))))&
(![X]:((generous(X)<~>~tall(X))=>(~patient(X)&brave(X))))&
(((~curious(fred)|funny(fred)))<=>((~generous(lucy)|patient(lucy))))&
((~rich(lucy))=>((strong(fred)|funny(fred))))&
(![X]:(calm(X)=>(kind(X)&~wise(X))))&
(![X]:(generous(X)<=>(~creative(X)<~>wise(X))))&... | ~brave(john) | [] | null | 0 |
If alice is not quiet or brave then fred is either not happy or not kind.
Everyone who is kind or not humble is both strong and not strong.
If alice is both humble and quiet then fred is quiet.
If someone is either patient or quiet then someone is either not calm or not kind and vice versa.
Everyone who is both not cur... | Susan is not curious. | entailment | (((~quiet(alice)|brave(alice)))=>((~happy(fred)<~>~kind(fred))))&
(![X]:((kind(X)|~humble(X))=>(strong(X)&~strong(X))))&
(((humble(alice)&quiet(alice)))=>(quiet(fred)))&
((?[X]:((patient(X)<~>quiet(X))))<=>(?[X]:((~calm(X)<~>~kind(X)))))&
(![X]:((~curious(X)&old(X))<=>curious(X)))&
(((~funny(john)<~>funny(john)))=>(?[X... | ~curious(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2474884154055681419553857
% SZS output start Proof for 2474884154055681419553857
5. ! [X0] : ((old(X0) & ~curious(X0)) <=> curious(X0)) [input p4]
21. curious(susan) [input hypothesis]
44. ! [X0] : (((old(X0) & ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~old(X0) | curious(X0)))) [nnf... | 0 |
If someone is not happy then fred is tall.
If someone is both not tall and patient then someone is both not humble and creative.
If someone is both old and not tall then paul is not old.
Everyone who is both not tall and quiet is wise or humble and vice versa.
Everyone who is not humble or not quiet is both tall and fu... | Fred is strong. | contradiction | ((?[X]:(~happy(X)))=>(tall(fred)))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
((?[X]:((old(X)&~tall(X))))=>(~old(paul)))&
(![X]:((~tall(X)&quiet(X))<=>(wise(X)|humble(X))))&
(![X]:((~humble(X)|~quiet(X))=>(tall(X)&funny(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(brave(X)&~brave(X))))&
(((~patien... | strong(fred) | [
"p0",
"p4",
"p5",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7853131210412427361661012
% SZS output start Proof for 7853131210412427361661012
1. ? [X0] : ~happy(X0) => tall(fred) [input p0]
5. ! [X0] : ((~quiet(X0) | ~humble(X0)) => (funny(X0) & tall(X0))) [input p4]
6. ! [X0] : ((~strong(X0) <~> tall(X0)) <=> (~brave(X0) & brave(X0))) [input p5]
1... | 0 |
Everyone who is old is not rich and vice versa. If someone is tall or kind then someone is calm and vice versa. If lucy is rich or not rich then someone is not old or not patient and vice versa. Everyone who is both patient and calm is generous and vice versa. Everyone who is both not generous and not curious is quiet ... | Paul is not tall. | neutral | (![X]:(old(X)<=>~rich(X)))&
((?[X]:((tall(X)|kind(X))))<=>(?[X]:(calm(X))))&
(((rich(lucy)|~rich(lucy)))<=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((patient(X)&calm(X))<=>generous(X)))&
(![X]:((~generous(X)&~curious(X))<=>quiet(X)))&
((~funny(lucy))<=>(?[X]:((strong(X)|~brave(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(~c... | ~tall(paul) | [] | null | 0 |
Everyone who is either not curious or quiet is calm or not old and vice versa. Everyone who is both wise and old is not calm or not creative and vice versa. Everyone who is patient or not calm is both curious and not funny and vice versa. If lucy is not humble then someone is rich or not strong and vice versa. If someo... | Lucy is creative. | contradiction | (![X]:((~curious(X)<~>quiet(X))<=>(calm(X)|~old(X))))&
(![X]:((wise(X)&old(X))<=>(~calm(X)|~creative(X))))&
(![X]:((patient(X)|~calm(X))<=>(curious(X)&~funny(X))))&
((~humble(lucy))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((patient(X)|quiet(X)))))&
(![X]:((~wise(X)|~funny(X))=>humbl... | creative(lucy) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 757820402012767861997832
% SZS output start Proof for 757820402012767861997832
2. ! [X0] : ((old(X0) & wise(X0)) <=> (~creative(X0) | ~calm(X0))) [input p1]
3. ! [X0] : ((~calm(X0) | patient(X0)) <=> (~funny(X0) & curious(X0))) [input p2]
4. ~humble(lucy) <=> ? [X0] : (~strong(X0) | rich(... | 0 |
Everyone who is either not strong or not brave is both quiet and generous and vice versa. Everyone who is not brave is either calm or funny and vice versa. If fred is not kind then someone is both calm and not generous. If someone is not funny then paul is not strong or not patient and vice versa. If paul is not quiet ... | Paul is creative. | entailment | (![X]:((~strong(X)<~>~brave(X))<=>(quiet(X)&generous(X))))&
(![X]:(~brave(X)<=>(calm(X)<~>funny(X))))&
((~kind(fred))=>(?[X]:((calm(X)&~generous(X)))))&
((?[X]:(~funny(X)))<=>((~strong(paul)|~patient(paul))))&
((~quiet(paul))<=>((quiet(paul)|creative(paul))))&
(![X]:((~old(X)<~>tall(X))=>(~tall(X)|strong(X))))&
(![X]:(... | creative(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7836802336423408746356014
% SZS output start Proof for 7836802336423408746356014
5. ~quiet(paul) <=> (creative(paul) | quiet(paul)) [input p4]
25. ~creative(paul) [input hypothesis]
46. (~quiet(paul) | (~creative(paul) & ~quiet(paul))) & ((creative(paul) | quiet(paul)) | quiet(paul)) [nnf... | 0 |
If mary is not tall then someone is both patient and generous. Everyone who is both not old and not strong is both tall and funny and vice versa. Everyone who is either not creative or not wise is either old or tall. If someone is both not strong and strong then someone is not quiet or old and vice versa. If someone is... | Fred is not strong. | entailment | ((~tall(mary))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~old(X)&~strong(X))<=>(tall(X)&funny(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(old(X)<~>tall(X))))&
((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
((?[X]:(~humble(X)))=>((~humble(susan)|brave(susan))))&
((?[X]:((happy(X)<~>rich(X))))=>(?[X]:(... | ~strong(fred) | [
"p2",
"p3",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8304135394328892501521099
% SZS output start Proof for 8304135394328892501521099
3. ! [X0] : ((~creative(X0) <~> ~wise(X0)) => (old(X0) <~> tall(X0))) [input p2]
4. ? [X0] : (strong(X0) & ~strong(X0)) <=> ? [X0] : (old(X0) | ~quiet(X0)) [input p3]
8. ! [X0] : ((~humble(X0) & ~strong(X0)) ... | 0 |
Everyone who is both wise and funny is not tall and vice versa.
If john is both not humble and not funny then someone is both not wise and not brave and vice versa.
Everyone who is not brave or not curious is generous and vice versa.
If someone is creative then mary is both generous and not wise and vice versa.
Everyon... | Mary is not creative. | neutral | (![X]:((wise(X)&funny(X))<=>~tall(X)))&
(((~humble(john)&~funny(john)))<=>(?[X]:((~wise(X)&~brave(X)))))&
(![X]:((~brave(X)|~curious(X))<=>generous(X)))&
((?[X]:(creative(X)))<=>((generous(mary)&~wise(mary))))&
(![X]:((~kind(X)&~funny(X))<=>(~rich(X)|kind(X))))&
(![X]:(~creative(X)=>(~humble(X)<~>~patient(X))))&
(((~pa... | ~creative(mary) | [] | null | 0 |
Everyone who is patient is wise.
Everyone who is not happy or not quiet is both curious and tall.
If someone is generous then fred is either quiet or not old and vice versa.
Everyone who is both funny and tall is old or not rich and vice versa.
If mary is both not happy and patient then someone is generous.
Everyone wh... | Fred is not curious. | contradiction | (![X]:(patient(X)=>wise(X)))&
(![X]:((~happy(X)|~quiet(X))=>(curious(X)&tall(X))))&
((?[X]:(generous(X)))<=>((quiet(fred)<~>~old(fred))))&
(![X]:((funny(X)&tall(X))<=>(old(X)|~rich(X))))&
(((~happy(mary)&patient(mary)))=>(?[X]:(generous(X))))&
(![X]:((~funny(X)|~tall(X))<=>(creative(X)&patient(X))))&
((curious(lucy))<=... | ~curious(fred) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2071974903996131998290184
% SZS output start Proof for 2071974903996131998290184
2. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (tall(X0) & curious(X0))) [input p1]
8. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (humble(X0) & ~quiet(X0))) [input p7]
24. ~curious(fred) [input hypothesis]
28. ! [X... | 0 |
Everyone who is not humble or not rich is curious and vice versa. If someone is patient or creative then someone is creative or old. Everyone who is both not generous and creative is either calm or not happy and vice versa. Everyone who is either not calm or funny is both not humble and not patient and vice versa. If s... | Fred is old. | entailment | (![X]:((~humble(X)|~rich(X))<=>curious(X)))&
((?[X]:((patient(X)|creative(X))))=>(?[X]:((creative(X)|old(X)))))&
(![X]:((~generous(X)&creative(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((~calm(X)<~>funny(X))<=>(~humble(X)&~patient(X))))&
((?[X]:((tall(X)&~old(X))))=>((~tall(fred)|kind(fred))))&
(![X]:((~quiet(X)<~>tall(X))<... | old(fred) | [
"p5",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 18136156008372930944061
% SZS output start Proof for 18136156008372930944061
6. ! [X0] : ((~quiet(X0) <~> tall(X0)) <=> (~brave(X0) & funny(X0))) [input p5]
11. ! [X0] : (~tall(X0) => (tall(X0) | ~funny(X0))) [input p10]
12. ! [X0] : ((humble(X0) & old(X0)) <=> ~funny(X0)) [input p11]
13.... | 0 |
If paul is patient then susan is old and vice versa. Everyone who is happy or not quiet is either not patient or quiet. If alice is both generous and not wise then alice is both not wise and patient and vice versa. Everyone who is not wise is both patient and rich and vice versa. If someone is both not calm and kind th... | Susan is generous. | contradiction | ((patient(paul))<=>(old(susan)))&
(![X]:((happy(X)|~quiet(X))=>(~patient(X)<~>quiet(X))))&
(((generous(alice)&~wise(alice)))<=>((~wise(alice)&patient(alice))))&
(![X]:(~wise(X)<=>(patient(X)&rich(X))))&
((?[X]:((~calm(X)&kind(X))))=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:(~humble(X)<=>(~funny(X)|old(X))))&
(![X]:((c... | generous(susan) | [
"p3",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8008620375625484434917643
% SZS output start Proof for 8008620375625484434917643
4. ! [X0] : (~wise(X0) <=> (rich(X0) & patient(X0))) [input p3]
9. ! [X0] : ((~patient(X0) & strong(X0)) <=> (~patient(X0) <~> generous(X0))) [input p8]
17. ~wise(susan) [input p16]
25. generous(susan) [input... | 0 |
If paul is either brave or not wise then alice is patient. Everyone who is not funny is either old or not patient and vice versa. If someone is either not brave or creative then someone is not funny. Everyone who is both tall and quiet is curious or not curious. Everyone who is both not generous and creative is not bra... | John is happy. | contradiction | (((brave(paul)<~>~wise(paul)))=>(patient(alice)))&
(![X]:(~funny(X)<=>(old(X)<~>~patient(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((tall(X)&quiet(X))=>(curious(X)|~curious(X))))&
(![X]:((~generous(X)&creative(X))<=>(~brave(X)|~rich(X))))&
(![X]:((~rich(X)&~quiet(X))<=>(~brave(X)&~generous(... | happy(john) | [
"p4",
"p5",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2080834916778015708878887
% SZS output start Proof for 2080834916778015708878887
5. ! [X0] : ((creative(X0) & ~generous(X0)) <=> (~rich(X0) | ~brave(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> (~generous(X0) & ~brave(X0))) [input p5]
7. ! [X0] : ((~brave(X0) & curious(X0)) ... | 0 |
If fred is either not brave or quiet then alice is not rich and vice versa.
Everyone who is both calm and not wise is either tall or not happy.
Everyone who is not kind is quiet.
Everyone who is not humble or not creative is both creative and humble.
If mary is both not strong and not tall then someone is patient and v... | Susan is not funny. | neutral | (((~brave(fred)<~>quiet(fred)))<=>(~rich(alice)))&
(![X]:((calm(X)&~wise(X))=>(tall(X)<~>~happy(X))))&
(![X]:(~kind(X)=>quiet(X)))&
(![X]:((~humble(X)|~creative(X))=>(creative(X)&humble(X))))&
(((~strong(mary)&~tall(mary)))<=>(?[X]:(patient(X))))&
(((creative(lucy)|~calm(lucy)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]... | ~funny(susan) | [] | null | 0 |
If someone is both old and brave then lucy is not patient or quiet. Everyone who is either not brave or not happy is both tall and old and vice versa. If paul is both not calm and strong then susan is wise and vice versa. Everyone who is both strong and quiet is not curious or calm and vice versa. If paul is not quiet ... | Fred is brave. | neutral | ((?[X]:((old(X)&brave(X))))=>((~patient(lucy)|quiet(lucy))))&
(![X]:((~brave(X)<~>~happy(X))<=>(tall(X)&old(X))))&
(((~calm(paul)&strong(paul)))<=>(wise(susan)))&
(![X]:((strong(X)&quiet(X))<=>(~curious(X)|calm(X))))&
(((~quiet(paul)|rich(paul)))<=>((~strong(fred)&humble(fred))))&
(![X]:(~calm(X)<=>(strong(X)&~strong(X... | brave(fred) | [] | null | 0 |
Everyone who is not patient or not happy is both patient and quiet.
Everyone who is either humble or not calm is not happy or curious and vice versa.
Everyone who is both generous and not calm is happy.
Everyone who is not old is not tall or tall.
If alice is not brave then someone is both old and not rich and vice ver... | Alice is happy. | contradiction | (![X]:((~patient(X)|~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((humble(X)<~>~calm(X))<=>(~happy(X)|curious(X))))&
(![X]:((generous(X)&~calm(X))=>happy(X)))&
(![X]:(~old(X)=>(~tall(X)|tall(X))))&
((~brave(alice))<=>(?[X]:((old(X)&~rich(X)))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((quiet(X)|calm(X)))))&
((?[X]:((~... | happy(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 106033065626839502191554
% SZS output start Proof for 106033065626839502191554
11. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (happy(X0) | calm(X0))) [input p10]
24. happy(alice) [input hypothesis]
63. ! [X0] : (((kind(X0) & ~kind(X0)) | (~happy(X0) & ~calm(X0))) & ((happy(X0) | calm(X0)) | (~k... | 0 |
If someone is both humble and not humble then someone is generous and vice versa.
Everyone who is either not funny or tall is either tall or patient and vice versa.
Everyone who is humble or brave is not strong or not generous and vice versa.
Everyone who is humble is both kind and not humble and vice versa.
Everyone w... | Paul is not creative. | contradiction | ((?[X]:((humble(X)&~humble(X))))<=>(?[X]:(generous(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(tall(X)<~>patient(X))))&
(![X]:((humble(X)|brave(X))<=>(~strong(X)|~generous(X))))&
(![X]:(humble(X)<=>(kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(creative(X)<~>quiet(X))))&
((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((humble(X)&~calm(X... | ~creative(paul) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2244793456096374960148168
% SZS output start Proof for 2244793456096374960148168
2. ! [X0] : ((~funny(X0) <~> tall(X0)) <=> (tall(X0) <~> patient(X0))) [input p1]
14. ! [X0] : (~patient(X0) <=> (~creative(X0) <~> funny(X0))) [input p13]
21. ~creative(paul) [input hypothesis]
34. ! [X0] : ... | 0 |
Everyone who is happy or not funny is either not funny or not curious. Everyone who is either not generous or curious is not curious or wise and vice versa. If alice is either rich or not curious then someone is not generous and vice versa. If alice is not funny then alice is not generous or old and vice versa. If fred... | Fred is patient. | contradiction | (![X]:((happy(X)|~funny(X))=>(~funny(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>curious(X))<=>(~curious(X)|wise(X))))&
(((rich(alice)<~>~curious(alice)))<=>(?[X]:(~generous(X))))&
((~funny(alice))<=>((~generous(alice)|old(alice))))&
(((funny(fred)|humble(fred)))=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:((~funny(X)|~c... | patient(fred) | [
"p0",
"p1",
"p10",
"p11",
"p12",
"p13",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6762452196606271745867046
% SZS output start Proof for 6762452196606271745867046
1. ! [X0] : ((~funny(X0) | happy(X0)) => (~funny(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> curious(X0)) <=> (wise(X0) | ~curious(X0))) [input p1]
11. ! [X0] : ((~strong(X0) & ~calm(X0)... | 0 |
Everyone who is creative is old or not quiet.
If mary is brave or funny then paul is both creative and humble.
If paul is both generous and rich then someone is not wise and vice versa.
If alice is both not generous and tall then mary is not brave or not calm.
Everyone who is brave or not brave is not rich and vice ver... | John is not patient. | contradiction | (![X]:(creative(X)=>(old(X)|~quiet(X))))&
(((brave(mary)|funny(mary)))=>((creative(paul)&humble(paul))))&
(((generous(paul)&rich(paul)))<=>(?[X]:(~wise(X))))&
(((~generous(alice)&tall(alice)))=>((~brave(mary)|~calm(mary))))&
(![X]:((brave(X)|~brave(X))<=>~rich(X)))&
(![X]:(old(X)<=>patient(X)))&
(![X]:((happy(X)|~kind(... | ~patient(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6120835069054719488327748
% SZS output start Proof for 6120835069054719488327748
19. funny(john) & patient(john) [input p18]
24. ~patient(john) [input hypothesis]
119. patient(john) [cnf transformation 19]
126. ~patient(john) [cnf transformation 24]
232. 22 <=> patient(john) [avatar defin... | 0 |
If susan is both generous and not curious then mary is both rich and not old.
Everyone who is calm is both humble and not patient and vice versa.
Everyone who is both quiet and not old is not happy and vice versa.
If someone is both old and not brave then john is old or not old and vice versa.
If someone is both not cr... | Paul is funny. | neutral | (((generous(susan)&~curious(susan)))=>((rich(mary)&~old(mary))))&
(![X]:(calm(X)<=>(humble(X)&~patient(X))))&
(![X]:((quiet(X)&~old(X))<=>~happy(X)))&
((?[X]:((old(X)&~brave(X))))<=>((old(john)|~old(john))))&
((?[X]:((~creative(X)&rich(X))))<=>(~quiet(mary)))&
(((patient(john)<~>~happy(john)))<=>(?[X]:(~creative(X))))&... | funny(paul) | [] | null | 0 |
Everyone who is both not generous and strong is not rich or not curious. Everyone who is wise is kind and vice versa. If someone is quiet then alice is both creative and not old and vice versa. Everyone who is either brave or not patient is old or wise. Everyone who is patient is not strong or not brave and vice versa.... | Alice is not tall. | entailment | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:(wise(X)<=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))... | ~tall(alice) | [
"p1",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4493439065809012467256487
% SZS output start Proof for 4493439065809012467256487
2. ! [X0] : (wise(X0) <=> kind(X0)) [input p1]
6. ! [X0] : ((happy(X0) & wise(X0)) <=> (kind(X0) | ~old(X0))) [input p5]
9. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & funny(X0))) [input p8]
11. ... | 0 |
If someone is either humble or not kind then lucy is strong.
Everyone who is both humble and not calm is either not rich or calm.
If someone is quiet then paul is not tall or not old and vice versa.
Everyone who is not calm or not kind is creative or patient and vice versa.
Everyone who is calm is humble or not generou... | Paul is not creative. | contradiction | ((?[X]:((humble(X)<~>~kind(X))))=>(strong(lucy)))&
(![X]:((humble(X)&~calm(X))=>(~rich(X)<~>calm(X))))&
((?[X]:(quiet(X)))<=>((~tall(paul)|~old(paul))))&
(![X]:((~calm(X)|~kind(X))<=>(creative(X)|patient(X))))&
(![X]:(calm(X)=>(humble(X)|~generous(X))))&
(![X]:((~happy(X)|~old(X))=>(~kind(X)&~happy(X))))&
(![X]:((brave... | ~creative(paul) | [
"p3",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3165336726081602726656945
% SZS output start Proof for 3165336726081602726656945
4. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (patient(X0) | creative(X0))) [input p3]
6. ! [X0] : ((~old(X0) | ~happy(X0)) => (~happy(X0) & ~kind(X0))) [input p5]
10. ! [X0] : (creative(X0) <=> (happy(X0) | ~brav... | 0 |
Everyone who is both not creative and wise is not happy or not brave and vice versa.
Everyone who is either wise or old is rich or funny and vice versa.
If someone is either strong or not strong then someone is both rich and funny and vice versa.
If someone is both not kind and not brave then alice is both not creative... | Fred is not quiet. | neutral | (![X]:((~creative(X)&wise(X))<=>(~happy(X)|~brave(X))))&
(![X]:((wise(X)<~>old(X))<=>(rich(X)|funny(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~kind(X)&~brave(X))))=>((~creative(alice)&~quiet(alice))))&
(![X]:((curious(X)<~>~old(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((tall(X)&~s... | ~quiet(fred) | [] | null | 0 |
If someone is both curious and not old then john is either brave or old.
Everyone who is quiet is both not generous and not patient.
If mary is strong then susan is not curious or quiet and vice versa.
Everyone who is not kind is calm.
If john is both brave and not quiet then lucy is not curious.
Everyone who is not ol... | John is not kind. | neutral | ((?[X]:((curious(X)&~old(X))))=>((brave(john)<~>old(john))))&
(![X]:(quiet(X)=>(~generous(X)&~patient(X))))&
((strong(mary))<=>((~curious(susan)|quiet(susan))))&
(![X]:(~kind(X)=>calm(X)))&
(((brave(john)&~quiet(john)))=>(~curious(lucy)))&
(![X]:((~old(X)|humble(X))<=>~generous(X)))&
(![X]:((~strong(X)&kind(X))=>calm(X... | ~kind(john) | [] | null | 0 |
Everyone who is either not patient or brave is either quiet or not patient and vice versa.
If someone is both wise and not patient then susan is both rich and not tall and vice versa.
If someone is not generous then fred is both not generous and rich and vice versa.
Everyone who is creative is not wise and vice versa.
... | Susan is not wise. | neutral | (![X]:((~patient(X)<~>brave(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((wise(X)&~patient(X))))<=>((rich(susan)&~tall(susan))))&
((?[X]:(~generous(X)))<=>((~generous(fred)&rich(fred))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:((~creative(X)<~>strong(X))=>strong(X)))&
(![X]:((wise(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
((... | ~wise(susan) | [] | null | 0 |
Everyone who is not old is both curious and not old. If someone is not happy then paul is quiet or humble. If paul is generous then someone is either rich or not humble and vice versa. If john is not humble or not old then someone is old or generous. Everyone who is both not patient and not calm is calm or not creative... | John is curious. | neutral | (![X]:(~old(X)=>(curious(X)&~old(X))))&
((?[X]:(~happy(X)))=>((quiet(paul)|humble(paul))))&
((generous(paul))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(((~humble(john)|~old(john)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>funny(X))))<=>(?[X]:((happy(X)|~o... | curious(john) | [] | null | 0 |
If alice is either tall or strong then someone is either happy or patient. If lucy is not generous then someone is either not kind or kind and vice versa. Everyone who is generous is both not wise and not calm and vice versa. If someone is not strong then someone is either not strong or wise and vice versa. Everyone wh... | Lucy is quiet. | contradiction | (((tall(alice)<~>strong(alice)))=>(?[X]:((happy(X)<~>patient(X)))))&
((~generous(lucy))<=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:(generous(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~quiet(X)<~>curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~humble(X)... | quiet(lucy) | [
"p5",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8566151082746181314462727
% SZS output start Proof for 8566151082746181314462727
6. ? [X0] : ~kind(X0) => ? [X0] : (happy(X0) & ~humble(X0)) [input p5]
8. ! [X0] : ((quiet(X0) | happy(X0)) => (humble(X0) & old(X0))) [input p7]
12. ! [X0] : (quiet(X0) => (~rich(X0) & calm(X0))) [input p11]... | 0 |
Everyone who is curious or not generous is either not patient or not wise.
If lucy is either not strong or not brave then paul is either patient or not humble.
If someone is both not creative and quiet then someone is both wise and not generous and vice versa.
Everyone who is both wise and not humble is not patient or ... | Lucy is kind. | entailment | (![X]:((curious(X)|~generous(X))=>(~patient(X)<~>~wise(X))))&
(((~strong(lucy)<~>~brave(lucy)))=>((patient(paul)<~>~humble(paul))))&
((?[X]:((~creative(X)&quiet(X))))<=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:((wise(X)&~humble(X))=>(~patient(X)|~funny(X))))&
(![X]:(kind(X)<=>(kind(X)|~brave(X))))&
((?[X]:((strong(X)&~b... | kind(lucy) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6985200691816709852397283
% SZS output start Proof for 6985200691816709852397283
5. ! [X0] : (kind(X0) <=> (~brave(X0) | kind(X0))) [input p4]
17. ~brave(lucy) [input p16]
23. ~kind(lucy) [input hypothesis]
42. ! [X0] : ((kind(X0) | (brave(X0) & ~kind(X0))) & ((~brave(X0) | kind(X0)) | ~k... | 0 |
Everyone who is either strong or not strong is both not rich and brave.
If fred is brave or not old then paul is not happy or not kind.
If someone is funny or not quiet then alice is both happy and not calm and vice versa.
Everyone who is both quiet and rich is not quiet and vice versa.
Everyone who is old is either no... | Fred is funny. | contradiction | (![X]:((strong(X)<~>~strong(X))=>(~rich(X)&brave(X))))&
(((brave(fred)|~old(fred)))=>((~happy(paul)|~kind(paul))))&
((?[X]:((funny(X)|~quiet(X))))<=>((happy(alice)&~calm(alice))))&
(![X]:((quiet(X)&rich(X))<=>~quiet(X)))&
(![X]:(old(X)=>(~strong(X)<~>quiet(X))))&
(((old(paul)|~strong(paul)))<=>(?[X]:((~funny(X)<~>quiet... | funny(fred) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1593175685653153912927874
% SZS output start Proof for 1593175685653153912927874
1. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (brave(X0) & ~rich(X0))) [input p0]
22. funny(fred) <~> ~rich(fred) [input p21]
23. funny(fred) [input hypothesis]
27. ! [X0] : ((brave(X0) & ~rich(X0)) | (strong(... | 0 |
Everyone who is calm or not funny is both not patient and happy. If fred is not wise then someone is not brave or calm. Everyone who is both not rich and not kind is either curious or rich. If someone is curious then paul is both not wise and old and vice versa. If someone is both quiet and patient then john is either ... | Mary is generous. | neutral | (![X]:((calm(X)|~funny(X))=>(~patient(X)&happy(X))))&
((~wise(fred))=>(?[X]:((~brave(X)|calm(X)))))&
(![X]:((~rich(X)&~kind(X))=>(curious(X)<~>rich(X))))&
((?[X]:(curious(X)))<=>((~wise(paul)&old(paul))))&
((?[X]:((quiet(X)&patient(X))))<=>((curious(john)<~>~rich(john))))&
(![X]:((generous(X)&brave(X))=>(strong(X)<~>ri... | generous(mary) | [] | null | 0 |
Everyone who is not calm is tall. Everyone who is quiet or curious is both not kind and not humble. Everyone who is not tall is both not creative and not brave and vice versa. Everyone who is both happy and patient is both old and brave. Everyone who is both not patient and brave is not rich or not brave and vice versa... | Mary is funny. | neutral | (![X]:(~calm(X)=>tall(X)))&
(![X]:((quiet(X)|curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(~creative(X)&~brave(X))))&
(![X]:((happy(X)&patient(X))=>(old(X)&brave(X))))&
(![X]:((~patient(X)&brave(X))<=>(~rich(X)|~brave(X))))&
(![X]:((~brave(X)|~wise(X))=>(~happy(X)&strong(X))))&
(![X]:(creative(X)<=>(~generou... | funny(mary) | [] | null | 0 |
If lucy is either not generous or not patient then susan is old or not rich and vice versa.
Everyone who is both strong and quiet is not tall and vice versa.
If mary is humble then someone is either not strong or not quiet.
Everyone who is not strong or not generous is not old or wise and vice versa.
Everyone who is no... | Lucy is not strong. | neutral | (((~generous(lucy)<~>~patient(lucy)))<=>((old(susan)|~rich(susan))))&
(![X]:((strong(X)&quiet(X))<=>~tall(X)))&
((humble(mary))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((~strong(X)|~generous(X))<=>(~old(X)|wise(X))))&
(![X]:(~brave(X)<=>(~tall(X)<~>~creative(X))))&
(![X]:(~humble(X)=>(~generous(X)|~curious(X))))&
(!... | ~strong(lucy) | [] | null | 0 |
If someone is creative or quiet then someone is not humble and vice versa. Everyone who is not kind or not generous is happy and vice versa. If lucy is both not old and creative then john is both not generous and not patient and vice versa. If alice is humble or old then lucy is patient and vice versa. If someone is bo... | Lucy is curious. | neutral | ((?[X]:((creative(X)|quiet(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)|~generous(X))<=>happy(X)))&
(((~old(lucy)&creative(lucy)))<=>((~generous(john)&~patient(john))))&
(((humble(alice)|old(alice)))<=>(patient(lucy)))&
((?[X]:((~old(X)&happy(X))))=>(?[X]:((~generous(X)|~kind(X)))))&
((?[X]:((brave(X)<~>rich(X))))<=>... | curious(lucy) | [] | null | 0 |
If paul is both not quiet and not tall then someone is both humble and curious and vice versa.
If mary is happy or not happy then lucy is either not tall or not curious and vice versa.
Everyone who is either not calm or not old is not calm and vice versa.
If alice is not curious then john is both not kind and not rich ... | Mary is not calm. | neutral | (((~quiet(paul)&~tall(paul)))<=>(?[X]:((humble(X)&curious(X)))))&
(((happy(mary)|~happy(mary)))<=>((~tall(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>~calm(X)))&
((~curious(alice))<=>((~kind(john)&~rich(john))))&
(![X]:((~humble(X)<~>~old(X))<=>(happy(X)|~patient(X))))&
(![X]:((happy(X)|~generous(X))=>(~ca... | ~calm(mary) | [] | null | 0 |
If someone is both not funny and not wise then paul is either not happy or not brave.
Everyone who is both funny and quiet is either not generous or not calm.
Everyone who is not patient is either generous or rich and vice versa.
Everyone who is both not calm and humble is either calm or not rich.
If someone is kind or... | Susan is not quiet. | neutral | ((?[X]:((~funny(X)&~wise(X))))=>((~happy(paul)<~>~brave(paul))))&
(![X]:((funny(X)&quiet(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~patient(X)<=>(generous(X)<~>rich(X))))&
(![X]:((~calm(X)&humble(X))=>(calm(X)<~>~rich(X))))&
((?[X]:((kind(X)|~brave(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(calm(X)))=>(?[X]:((strong(X)&~old(X... | ~quiet(susan) | [] | null | 0 |
Everyone who is either calm or not tall is creative and vice versa.
If someone is not tall then someone is not quiet.
Everyone who is both not quiet and funny is tall or not kind and vice versa.
If someone is either creative or quiet then fred is not humble or not creative and vice versa.
Everyone who is not tall is no... | Susan is brave. | neutral | (![X]:((calm(X)<~>~tall(X))<=>creative(X)))&
((?[X]:(~tall(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)&funny(X))<=>(tall(X)|~kind(X))))&
((?[X]:((creative(X)<~>quiet(X))))<=>((~humble(fred)|~creative(fred))))&
(![X]:(~tall(X)<=>~humble(X)))&
(![X]:(tall(X)=>(old(X)<~>tall(X))))&
((?[X]:((happy(X)&creative(X))))<=>(?[X... | brave(susan) | [] | null | 0 |
If someone is not kind then someone is both not strong and funny.
Everyone who is calm is kind or not brave and vice versa.
Everyone who is both not happy and strong is not strong and vice versa.
Everyone who is not strong is curious and vice versa.
If paul is not quiet then john is not happy or not humble and vice ver... | Lucy is calm. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((~strong(X)&funny(X)))))&
(![X]:(calm(X)<=>(kind(X)|~brave(X))))&
(![X]:((~happy(X)&strong(X))<=>~strong(X)))&
(![X]:(~strong(X)<=>curious(X)))&
((~quiet(paul))<=>((~happy(john)|~humble(john))))&
((curious(fred))<=>(?[X]:(quiet(X))))&
(((wise(paul)|patient(paul)))<=>(?[X]:((~wise(X)|~creative... | calm(lucy) | [
"p0",
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 529058776866196418236875
% SZS output start Proof for 529058776866196418236875
1. ? [X0] : ~kind(X0) => ? [X0] : (funny(X0) & ~strong(X0)) [input p0]
2. ! [X0] : (calm(X0) <=> (~brave(X0) | kind(X0))) [input p1]
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> ~strong(X0)) [input p2]
23. ~calm(... | 0 |
If someone is calm or tall then someone is humble or wise. Everyone who is kind or calm is not curious or not kind and vice versa. If mary is not tall or not wise then someone is both creative and not wise. If someone is both not generous and wise then someone is either tall or not patient and vice versa. Everyone who ... | John is not happy. | entailment | ((?[X]:((calm(X)|tall(X))))=>(?[X]:((humble(X)|wise(X)))))&
(![X]:((kind(X)|calm(X))<=>(~curious(X)|~kind(X))))&
(((~tall(mary)|~wise(mary)))=>(?[X]:((creative(X)&~wise(X)))))&
((?[X]:((~generous(X)&wise(X))))<=>(?[X]:((tall(X)<~>~patient(X)))))&
(![X]:((kind(X)|rich(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)&~ha... | ~happy(john) | [
"p1",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 307812672380944167714134
% SZS output start Proof for 307812672380944167714134
2. ! [X0] : ((calm(X0) | kind(X0)) <=> (~kind(X0) | ~curious(X0))) [input p1]
5. ! [X0] : ((rich(X0) | kind(X0)) <=> (~rich(X0) & ~strong(X0))) [input p4]
6. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (~strong(X0)... | 0 |
Everyone who is not generous is funny.
Everyone who is happy or wise is not rich.
Everyone who is brave or not happy is both brave and not rich.
If someone is either not old or not brave then alice is both generous and not old and vice versa.
If someone is either curious or old then fred is either generous or quiet.
If... | Fred is not wise. | entailment | (![X]:(~generous(X)=>funny(X)))&
(![X]:((happy(X)|wise(X))=>~rich(X)))&
(![X]:((brave(X)|~happy(X))=>(brave(X)&~rich(X))))&
((?[X]:((~old(X)<~>~brave(X))))<=>((generous(alice)&~old(alice))))&
((?[X]:((curious(X)<~>old(X))))=>((generous(fred)<~>quiet(fred))))&
((curious(alice))=>((~creative(susan)|~curious(susan))))&
(!... | ~wise(fred) | [
"p4",
"p7",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5274145472791305979968220
% SZS output start Proof for 5274145472791305979968220
5. ? [X0] : (curious(X0) <~> old(X0)) => (generous(fred) <~> quiet(fred)) [input p4]
8. ! [X0] : ((curious(X0) <~> wise(X0)) <=> (~wise(X0) & patient(X0))) [input p7]
10. ! [X0] : (quiet(X0) => (~brave(X0) & ... | 0 |
Everyone who is either not patient or happy is either rich or happy.
If fred is brave or curious then someone is both kind and not creative and vice versa.
If paul is both brave and curious then someone is quiet and vice versa.
Everyone who is not curious or not brave is humble or not kind and vice versa.
Everyone who ... | Lucy is quiet. | contradiction | (![X]:((~patient(X)<~>happy(X))=>(rich(X)<~>happy(X))))&
(((brave(fred)|curious(fred)))<=>(?[X]:((kind(X)&~creative(X)))))&
(((brave(paul)&curious(paul)))<=>(?[X]:(quiet(X))))&
(![X]:((~curious(X)|~brave(X))<=>(humble(X)|~kind(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(kind(X)<~>~quiet(X))))&
(![X]:((~funny(X)|old(X))=>(... | quiet(lucy) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3990899328478638747507341
% SZS output start Proof for 3990899328478638747507341
3. (curious(paul) & brave(paul)) <=> ? [X0] : quiet(X0) [input p2]
4. ! [X0] : ((~brave(X0) | ~curious(X0)) <=> (~kind(X0) | humble(X0))) [input p3]
5. ! [X0] : ((humble(X0) <~> ~quiet(X0)) <=> (kind(X0) <~> ... | 0 |
Everyone who is both not rich and not quiet is either not brave or creative and vice versa.
If someone is quiet then lucy is both happy and not happy and vice versa.
Everyone who is not tall or not wise is both funny and old.
If fred is not quiet or not kind then paul is either not wise or not curious and vice versa.
E... | Lucy is humble. | contradiction | (![X]:((~rich(X)&~quiet(X))<=>(~brave(X)<~>creative(X))))&
((?[X]:(quiet(X)))<=>((happy(lucy)&~happy(lucy))))&
(![X]:((~tall(X)|~wise(X))=>(funny(X)&old(X))))&
(((~quiet(fred)|~kind(fred)))<=>((~wise(paul)<~>~curious(paul))))&
(![X]:((generous(X)&wise(X))<=>(~tall(X)|funny(X))))&
(![X]:((old(X)<~>creative(X))<=>(~rich(... | humble(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8230207154775125517445096
% SZS output start Proof for 8230207154775125517445096
2. ? [X0] : quiet(X0) <=> (~happy(lucy) & happy(lucy)) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) => (old(X0) & funny(X0))) [input p2]
5. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) | ~tall(X0))) ... | 0 |
If someone is both not calm and not curious then someone is not humble or not quiet and vice versa.
Everyone who is funny is either strong or not brave.
Everyone who is wise or not creative is strong.
Everyone who is happy is both not funny and not curious and vice versa.
If someone is either kind or not rich then some... | Fred is not happy. | entailment | ((?[X]:((~calm(X)&~curious(X))))<=>(?[X]:((~humble(X)|~quiet(X)))))&
(![X]:(funny(X)=>(strong(X)<~>~brave(X))))&
(![X]:((wise(X)|~creative(X))=>strong(X)))&
(![X]:(happy(X)<=>(~funny(X)&~curious(X))))&
((?[X]:((kind(X)<~>~rich(X))))<=>(?[X]:((~quiet(X)&tall(X)))))&
((?[X]:((~tall(X)|~quiet(X))))=>(?[X]:(quiet(X))))&
((... | ~happy(fred) | [
"p3",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1437610527119938875645591
% SZS output start Proof for 1437610527119938875645591
4. ! [X0] : (happy(X0) <=> (~curious(X0) & ~funny(X0))) [input p3]
9. ! [X0] : (happy(X0) <=> (humble(X0) <~> ~generous(X0))) [input p8]
10. ! [X0] : ((generous(X0) | ~creative(X0)) => (~calm(X0) & ~quiet(X0)... | 0 |
If someone is either not funny or patient then lucy is generous and vice versa.
If fred is funny or humble then someone is either curious or creative and vice versa.
Everyone who is both strong and patient is not rich or not creative.
If john is kind then fred is not humble or generous and vice versa.
If someone is bot... | Lucy is not patient. | neutral | ((?[X]:((~funny(X)<~>patient(X))))<=>(generous(lucy)))&
(((funny(fred)|humble(fred)))<=>(?[X]:((curious(X)<~>creative(X)))))&
(![X]:((strong(X)&patient(X))=>(~rich(X)|~creative(X))))&
((kind(john))<=>((~humble(fred)|generous(fred))))&
((?[X]:((tall(X)&~patient(X))))=>((~creative(fred)|~calm(fred))))&
((?[X]:((tall(X)&f... | ~patient(lucy) | [] | null | 0 |
Everyone who is not generous or calm is not calm or strong. Everyone who is not strong or strong is not generous or kind and vice versa. If someone is either not tall or curious then someone is creative and vice versa. Everyone who is both curious and not funny is either not wise or not rich and vice versa. If someone ... | Alice is not tall. | contradiction | (![X]:((~generous(X)|calm(X))=>(~calm(X)|strong(X))))&
(![X]:((~strong(X)|strong(X))<=>(~generous(X)|kind(X))))&
((?[X]:((~tall(X)<~>curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)&~funny(X))<=>(~wise(X)<~>~rich(X))))&
((?[X]:(~patient(X)))=>((~funny(alice)&~generous(alice))))&
(![X]:((happy(X)<~>~calm(X))=>(... | ~tall(alice) | [
"p4",
"p7",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2224067001226134039582034
% SZS output start Proof for 2224067001226134039582034
5. ? [X0] : ~patient(X0) => (~generous(alice) & ~funny(alice)) [input p4]
8. ! [X0] : (~creative(X0) <=> ~calm(X0)) [input p7]
9. ! [X0] : ((~tall(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p8]
15. ! [... | 0 |
Everyone who is either not humble or not rich is either not rich or not strong and vice versa. Everyone who is not rich is not calm or strong and vice versa. If someone is not old or strong then someone is either kind or not quiet. Everyone who is creative is not tall. Everyone who is both not calm and not kind is crea... | Fred is not generous. | contradiction | (![X]:((~humble(X)<~>~rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X)&~kind(X))<=>creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(kind(X)<~>~humble(X))))&
((?[X]:((humble(X)<... | ~generous(fred) | [
"p0",
"p3",
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8410983550232869750881963
% SZS output start Proof for 8410983550232869750881963
1. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (~rich(X0) <~> ~strong(X0))) [input p0]
4. ! [X0] : (creative(X0) => ~tall(X0)) [input p3]
8. ! [X0] : (creative(X0) <=> (~generous(X0) | creative(X0))) [input p7]... | 0 |
If someone is strong then someone is both patient and humble.
If susan is happy or not creative then someone is not kind or happy and vice versa.
If someone is both old and calm then someone is both happy and not funny.
If someone is not calm then someone is either not generous or calm.
Everyone who is either calm or n... | Alice is not brave. | contradiction | ((?[X]:(strong(X)))=>(?[X]:((patient(X)&humble(X)))))&
(((happy(susan)|~creative(susan)))<=>(?[X]:((~kind(X)|happy(X)))))&
((?[X]:((old(X)&calm(X))))=>(?[X]:((happy(X)&~funny(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((~generous(X)<~>calm(X)))))&
(![X]:((calm(X)<~>~quiet(X))=>~curious(X)))&
((?[X]:((patient(X)&funny(X))))=>((~... | ~brave(alice) | [
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2110152633099478574280066
% SZS output start Proof for 2110152633099478574280066
11. ! [X0] : (creative(X0) <=> (generous(X0) | ~quiet(X0))) [input p10]
12. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p11]
13. ! [X0] : (~quiet(X0) <=> (kind(X0) & ~creative(X0... | 0 |
If someone is either quiet or not old then someone is not happy.
Everyone who is not brave or calm is brave or not funny and vice versa.
Everyone who is not creative is rich or patient.
If someone is both generous and not brave then someone is both creative and quiet.
If fred is not strong or not funny then paul is old... | John is quiet. | contradiction | ((?[X]:((quiet(X)<~>~old(X))))=>(?[X]:(~happy(X))))&
(![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(... | quiet(john) | [
"p5",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3936000354597360073852466
% SZS output start Proof for 3936000354597360073852466
6. ! [X0] : (~happy(X0) <=> (~old(X0) & wise(X0))) [input p5]
8. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~creative(X0) <~> brave(X0))) [input p7]
10. (patient(susan) & ~creative(susan)) <=> ? [X0] : (quiet(X... | 0 |
If someone is kind or not happy then paul is either not old or not creative and vice versa. If alice is either not happy or not calm then fred is not quiet. Everyone who is both old and humble is either generous or not funny. Everyone who is not brave or wise is not rich or not quiet. Everyone who is not old or generou... | Mary is not wise. | neutral | ((?[X]:((kind(X)|~happy(X))))<=>((~old(paul)<~>~creative(paul))))&
(((~happy(alice)<~>~calm(alice)))=>(~quiet(fred)))&
(![X]:((old(X)&humble(X))=>(generous(X)<~>~funny(X))))&
(![X]:((~brave(X)|wise(X))=>(~rich(X)|~quiet(X))))&
(![X]:((~old(X)|generous(X))=>(~happy(X)|tall(X))))&
(((~strong(fred)|curious(fred)))=>(?[X]:... | ~wise(mary) | [] | null | 0 |
If susan is either curious or tall then susan is calm.
Everyone who is either not brave or not kind is both not rich and wise.
If john is both quiet and wise then alice is either not creative or wise and vice versa.
If someone is humble then someone is humble or not quiet and vice versa.
Everyone who is either funny or... | John is old. | neutral | (((curious(susan)<~>tall(susan)))=>(calm(susan)))&
(![X]:((~brave(X)<~>~kind(X))=>(~rich(X)&wise(X))))&
(((quiet(john)&wise(john)))<=>((~creative(alice)<~>wise(alice))))&
((?[X]:(humble(X)))<=>(?[X]:((humble(X)|~quiet(X)))))&
(![X]:((funny(X)<~>~calm(X))<=>brave(X)))&
(((old(paul)<~>~old(paul)))=>(?[X]:(~generous(X))))... | old(john) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is not funny or not creative then fred is not patient.
Everyone who is curious or funny is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who i... | Paul is not rich. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~funny(paul)|~creative(paul)))=>(~patient(fred)))&
(![X]:((curious(X)|funny(X))=>(~funny(X)&~happy(X))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(... | ~rich(paul) | [
"p1",
"p3",
"p5",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8071239315735630125387902
% SZS output start Proof for 8071239315735630125387902
2. ! [X0] : (humble(X0) => brave(X0)) [input p1]
4. ! [X0] : ((funny(X0) | curious(X0)) => (~happy(X0) & ~funny(X0))) [input p3]
6. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~happy(X0) <~> ~rich(X0))) [inp... | 0 |
Everyone who is rich is not wise or wise.
If paul is humble or kind then someone is either not old or not kind and vice versa.
Everyone who is both not quiet and kind is not patient.
If someone is quiet or humble then mary is brave.
Everyone who is both generous and not creative is not strong.
Everyone who is both not ... | Fred is not tall. | entailment | (![X]:(rich(X)=>(~wise(X)|wise(X))))&
(((humble(paul)|kind(paul)))<=>(?[X]:((~old(X)<~>~kind(X)))))&
(![X]:((~quiet(X)&kind(X))=>~patient(X)))&
((?[X]:((quiet(X)|humble(X))))=>(brave(mary)))&
(![X]:((generous(X)&~creative(X))=>~strong(X)))&
(![X]:((~generous(X)&~kind(X))=>(~happy(X)<~>~creative(X))))&
(![X]:(~wise(X)<=... | ~tall(fred) | [
"p7",
"p11",
"p12",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3530827271403775553832460
% SZS output start Proof for 3530827271403775553832460
8. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (calm(X0) & ~kind(X0))) [input p7]
12. (curious(fred) <~> calm(fred)) <=> ? [X0] : (~calm(X0) | tall(X0)) [input p11]
13. ! [X0] : ((old(X0) | tall(X0)) <=> (tall(X... | 0 |
If someone is not rich or not curious then someone is both calm and not calm and vice versa.
Everyone who is both strong and rich is both kind and humble and vice versa.
If susan is both not generous and not kind then someone is both rich and brave.
Everyone who is both not funny and quiet is both quiet and creative.
I... | Susan is not strong. | neutral | ((?[X]:((~rich(X)|~curious(X))))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:((strong(X)&rich(X))<=>(kind(X)&humble(X))))&
(((~generous(susan)&~kind(susan)))=>(?[X]:((rich(X)&brave(X)))))&
(![X]:((~funny(X)&quiet(X))=>(quiet(X)&creative(X))))&
(((funny(susan)&~strong(susan)))<=>((brave(fred)|~old(fred))))&
(![X]:((~happy(X)<... | ~strong(susan) | [] | null | 0 |
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