premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not quiet and generous is not happy or creative and vice versa. Everyone who is calm is quiet and vice versa. Everyone who is tall is either not happy or funny. Everyone who is strong is either kind or not generous. Everyone who is not brave is not creative and vice versa. Everyone who is either no... | Susan is curious. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:(strong(X)=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~patient(mary)|~creative(mary)))=>(?[X]:((~curious(X)&~humble(... | curious(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4706435453099176758311842
% SZS output start Proof for 4706435453099176758311842
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
4. ! [X0] :... | 0 |
Everyone who is either not humble or not rich is either not humble or not kind and vice versa.
If lucy is both not patient and not tall then lucy is both not creative and brave and vice versa.
If someone is both not humble and not tall then someone is not creative or not quiet.
Everyone who is wise is calm or curious a... | Lucy is quiet. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~humble(X)<~>~kind(X))))&
(((~patient(lucy)&~tall(lucy)))<=>((~creative(lucy)&brave(lucy))))&
((?[X]:((~humble(X)&~tall(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(wise(X)<=>(calm(X)|curious(X))))&
((?[X]:((happy(X)&~kind(X))))<=>((kind(alice)<~>~generous(alice))))&
(![X]:((~curi... | quiet(lucy) | [] | null | 0 |
If john is either not strong or not wise then someone is brave or calm and vice versa.
If john is both wise and not curious then fred is both happy and not tall.
Everyone who is both not creative and not strong is both happy and not quiet.
Everyone who is both tall and not patient is quiet and vice versa.
Everyone who ... | Lucy is not curious. | contradiction | (((~strong(john)<~>~wise(john)))<=>(?[X]:((brave(X)|calm(X)))))&
(((wise(john)&~curious(john)))=>((happy(fred)&~tall(fred))))&
(![X]:((~creative(X)&~strong(X))=>(happy(X)&~quiet(X))))&
(![X]:((tall(X)&~patient(X))<=>quiet(X)))&
(![X]:(~tall(X)<=>(~kind(X)|patient(X))))&
(((~curious(paul)|old(paul)))<=>((funny(lucy)<~>~... | ~curious(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6377150838486906831522335
% SZS output start Proof for 6377150838486906831522335
10. ! [X0] : ((~curious(X0) | ~wise(X0)) <=> (humble(X0) & ~humble(X0))) [input p9]
25. ~curious(lucy) [input hypothesis]
54. ! [X0] : (((~curious(X0) | ~wise(X0)) | (~humble(X0) | humble(X0))) & ((humble(X0)... | 0 |
If mary is both not happy and not quiet then mary is not creative and vice versa.
Everyone who is not rich or strong is not old or not rich.
If someone is funny then someone is happy or not kind and vice versa.
If fred is both not calm and not generous then someone is both not calm and wise and vice versa.
Everyone who... | Mary is brave. | contradiction | (((~happy(mary)&~quiet(mary)))<=>(~creative(mary)))&
(![X]:((~rich(X)|strong(X))=>(~old(X)|~rich(X))))&
((?[X]:(funny(X)))<=>(?[X]:((happy(X)|~kind(X)))))&
(((~calm(fred)&~generous(fred)))<=>(?[X]:((~calm(X)&wise(X)))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:((~kind(X)<~>funny(X))<=>~old(X)))&
(![X]:(~calm(X)<=>(quiet(X)<... | brave(mary) | [
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 83455159121636755768205
% SZS output start Proof for 83455159121636755768205
6. ! [X0] : ((~kind(X0) <~> funny(X0)) <=> ~old(X0)) [input p5]
9. ! [X0] : ((~calm(X0) | ~old(X0)) <=> ~brave(X0)) [input p8]
10. ! [X0] : ((~brave(X0) & kind(X0)) <=> (funny(X0) | kind(X0))) [input p9]
25. brav... | 0 |
Everyone who is generous is both not calm and wise.
If someone is either funny or quiet then mary is not kind or not creative and vice versa.
Everyone who is humble is kind or brave and vice versa.
Everyone who is either not generous or not calm is not brave or not funny and vice versa.
Everyone who is happy or not cur... | Mary is wise. | neutral | (![X]:(generous(X)=>(~calm(X)&wise(X))))&
((?[X]:((funny(X)<~>quiet(X))))<=>((~kind(mary)|~creative(mary))))&
(![X]:(humble(X)<=>(kind(X)|brave(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(~brave(X)|~funny(X))))&
(![X]:((happy(X)|~curious(X))<=>~happy(X)))&
((~tall(paul))<=>(tall(john)))&
(((wise(fred)|~kind(fred)))<=>(?... | wise(mary) | [] | null | 0 |
Everyone who is not kind or old is both generous and not generous and vice versa.
Everyone who is kind is curious or not tall.
If fred is both not happy and funny then alice is either not funny or kind.
Everyone who is both generous and not patient is rich or happy and vice versa.
If mary is calm or not rich then fred ... | Lucy is not generous. | neutral | (![X]:((~kind(X)|old(X))<=>(generous(X)&~generous(X))))&
(![X]:(kind(X)=>(curious(X)|~tall(X))))&
(((~happy(fred)&funny(fred)))=>((~funny(alice)<~>kind(alice))))&
(![X]:((generous(X)&~patient(X))<=>(rich(X)|happy(X))))&
(((calm(mary)|~rich(mary)))<=>((creative(fred)|~patient(fred))))&
(![X]:(humble(X)<=>(rich(X)&old(X)... | ~generous(lucy) | [] | null | 0 |
If someone is either not happy or brave then someone is either not patient or curious. Everyone who is both not happy and not wise is both not creative and quiet and vice versa. Everyone who is both not happy and not tall is brave and vice versa. Everyone who is both kind and curious is not creative. If someone is not ... | Alice is old. | entailment | ((?[X]:((~happy(X)<~>brave(X))))=>(?[X]:((~patient(X)<~>curious(X)))))&
(![X]:((~happy(X)&~wise(X))<=>(~creative(X)&quiet(X))))&
(![X]:((~happy(X)&~tall(X))<=>brave(X)))&
(![X]:((kind(X)&curious(X))=>~creative(X)))&
((?[X]:(~calm(X)))=>((curious(susan)|quiet(susan))))&
(![X]:((~generous(X)<~>~funny(X))=>(~happy(X)|gene... | old(alice) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5364418753376236242436123
% SZS output start Proof for 5364418753376236242436123
13. ! [X0] : (generous(X0) <=> (~kind(X0) & old(X0))) [input p12]
18. generous(alice) [input p17]
25. ~old(alice) [input hypothesis]
68. ! [X0] : ((generous(X0) | (kind(X0) | ~old(X0))) & ((~kind(X0) & old(X0... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not calm or not creative is both wise and tall.
Everyone who is quiet or not tall is kind.
Everyone who is both rich and not curious is both old and not old and vice versa.
Everyone who is kind or old is happy.
Everyone who is both not ... | Susan is not quiet. | entailment | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~calm(X)|~creative(X))=>(wise(X)&tall(X))))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | ~quiet(susan) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5926936621446814950419546
% SZS output start Proof for 5926936621446814950419546
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~generous(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p1]
5. ! [X0] : ((old(X0) | kind(X0)) => happy(X0)) [input p4]
6.... | 0 |
If lucy is not rich or quiet then paul is tall. If someone is not rich or not brave then john is old and vice versa. If alice is funny or not rich then john is wise. If mary is not wise then john is both curious and brave. Everyone who is both not generous and wise is either brave or not brave and vice versa. If paul i... | Mary is not humble. | entailment | (((~rich(lucy)|quiet(lucy)))=>(tall(paul)))&
((?[X]:((~rich(X)|~brave(X))))<=>(old(john)))&
(((funny(alice)|~rich(alice)))=>(wise(john)))&
((~wise(mary))=>((curious(john)&brave(john))))&
(![X]:((~generous(X)&wise(X))<=>(brave(X)<~>~brave(X))))&
(((creative(paul)&~wise(paul)))=>(?[X]:((~calm(X)<~>funny(X)))))&
(((tall(a... | ~humble(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1057755326962192725632088
% SZS output start Proof for 1057755326962192725632088
9. ! [X0] : ((generous(X0) | humble(X0)) => (funny(X0) & ~humble(X0))) [input p8]
23. humble(mary) [input hypothesis]
30. ! [X0] : ((funny(X0) & ~humble(X0)) | (~generous(X0) & ~humble(X0))) [ennf transformat... | 0 |
If someone is both not creative and generous then lucy is not brave or curious and vice versa. Everyone who is both curious and generous is either quiet or not happy. Everyone who is not happy or kind is both not quiet and old. Everyone who is generous is either curious or strong. Everyone who is both not humble and no... | Fred is not old. | neutral | ((?[X]:((~creative(X)&generous(X))))<=>((~brave(lucy)|curious(lucy))))&
(![X]:((curious(X)&generous(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((~happy(X)|kind(X))=>(~quiet(X)&old(X))))&
(![X]:(generous(X)=>(curious(X)<~>strong(X))))&
(![X]:((~humble(X)&~curious(X))=>brave(X)))&
(![X]:(funny(X)<=>(~brave(X)&patient(X))))&
(!... | ~old(fred) | [] | null | 0 |
If paul is both not kind and generous then someone is both not curious and calm and vice versa.
If someone is either not old or old then alice is not calm or humble.
If someone is not old then someone is strong and vice versa.
If someone is patient or humble then someone is either not patient or not kind and vice versa... | Paul is not quiet. | neutral | (((~kind(paul)&generous(paul)))<=>(?[X]:((~curious(X)&calm(X)))))&
((?[X]:((~old(X)<~>old(X))))=>((~calm(alice)|humble(alice))))&
((?[X]:(~old(X)))<=>(?[X]:(strong(X))))&
((?[X]:((patient(X)|humble(X))))<=>(?[X]:((~patient(X)<~>~kind(X)))))&
(![X]:((~kind(X)|~generous(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((~strong(X)... | ~quiet(paul) | [] | null | 0 |
If fred is either not curious or old then paul is either not strong or not patient.
Everyone who is both happy and creative is both not calm and humble and vice versa.
Everyone who is either not calm or rich is either old or not rich and vice versa.
Everyone who is either patient or funny is not calm and vice versa.
If... | Susan is not generous. | neutral | (((~curious(fred)<~>old(fred)))=>((~strong(paul)<~>~patient(paul))))&
(![X]:((happy(X)&creative(X))<=>(~calm(X)&humble(X))))&
(![X]:((~calm(X)<~>rich(X))<=>(old(X)<~>~rich(X))))&
(![X]:((patient(X)<~>funny(X))<=>~calm(X)))&
(((wise(lucy)&~brave(lucy)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
(![X]:((patient(X)|~quiet(X))... | ~generous(susan) | [] | null | 0 |
Everyone who is either not funny or curious is not rich and vice versa.
If someone is kind or calm then fred is both calm and quiet.
Everyone who is both calm and not strong is patient and vice versa.
Everyone who is either kind or patient is not quiet and vice versa.
Everyone who is not humble or curious is either hum... | Alice is not happy. | neutral | (![X]:((~funny(X)<~>curious(X))<=>~rich(X)))&
((?[X]:((kind(X)|calm(X))))=>((calm(fred)&quiet(fred))))&
(![X]:((calm(X)&~strong(X))<=>patient(X)))&
(![X]:((kind(X)<~>patient(X))<=>~quiet(X)))&
(![X]:((~humble(X)|curious(X))=>(humble(X)<~>rich(X))))&
(((~rich(mary)<~>strong(mary)))<=>((wise(john)|creative(john))))&
(![X... | ~happy(alice) | [] | null | 0 |
Everyone who is kind or not creative is humble and vice versa.
Everyone who is old or funny is both funny and not calm and vice versa.
Everyone who is not old or not generous is either not old or humble and vice versa.
Everyone who is brave is both not rich and not old and vice versa.
Everyone who is both calm and crea... | Alice is not brave. | entailment | (![X]:((kind(X)|~creative(X))<=>humble(X)))&
(![X]:((old(X)|funny(X))<=>(funny(X)&~calm(X))))&
(![X]:((~old(X)|~generous(X))<=>(~old(X)<~>humble(X))))&
(![X]:(brave(X)<=>(~rich(X)&~old(X))))&
(![X]:((calm(X)&creative(X))<=>(generous(X)|wise(X))))&
((?[X]:((creative(X)|~rich(X))))<=>((calm(john)<~>~kind(john))))&
(((~ki... | ~brave(alice) | [
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2894940815944418575170677
% SZS output start Proof for 2894940815944418575170677
3. ! [X0] : ((~generous(X0) | ~old(X0)) <=> (~old(X0) <~> humble(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (~old(X0) & ~rich(X0))) [input p3]
15. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (~brave(X0) & ~kind... | 0 |
If paul is both not tall and patient then someone is either not creative or curious and vice versa. Everyone who is not humble is either not creative or old and vice versa. Everyone who is both calm and not patient is patient or funny and vice versa. Everyone who is wise is either not kind or not humble and vice versa.... | Fred is not creative. | contradiction | (((~tall(paul)&patient(paul)))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:(~humble(X)<=>(~creative(X)<~>old(X))))&
(![X]:((calm(X)&~patient(X))<=>(patient(X)|funny(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~humble(X))))&
(![X]:((patient(X)&creative(X))<=>(~tall(X)|wise(X))))&
(((quiet(fred)&calm(fred)))=>(?[X]:(patient(X... | ~creative(fred) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5216783819643512858607044
% SZS output start Proof for 5216783819643512858607044
1. (patient(paul) & ~tall(paul)) <=> ? [X0] : (~creative(X0) <~> curious(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> (~creative(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & calm(X0)) <=> (funny(... | 0 |
If someone is not kind then fred is both not tall and not strong and vice versa.
Everyone who is either not happy or not calm is tall or not rich.
If someone is calm or strong then fred is both brave and not old.
If someone is both not old and creative then paul is either calm or tall and vice versa.
If susan is not ri... | Lucy is quiet. | neutral | ((?[X]:(~kind(X)))<=>((~tall(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>~calm(X))=>(tall(X)|~rich(X))))&
((?[X]:((calm(X)|strong(X))))=>((brave(fred)&~old(fred))))&
((?[X]:((~old(X)&creative(X))))<=>((calm(paul)<~>tall(paul))))&
(((~rich(susan)|~brave(susan)))=>(?[X]:((tall(X)&funny(X)))))&
(![X]:((~generous(X)|~calm(... | quiet(lucy) | [] | null | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa.
If alice is not generous then lucy is not wise or curious.
Everyone who is both old and not strong is either not funny or not happy and vice versa.
Everyone who is not curious is creative or tall and vice versa.
If someone is not wise ... | John is happy. | contradiction | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
((~generous(alice))=>((~wise(lucy)|curious(lucy))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(creative(X)|tall(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>((~humble(john)&curious(john))))&
((?[X]:((funny(X)<~>creative(X))))... | happy(john) | [
"p0",
"p2",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2438552114714922729687571
% SZS output start Proof for 2438552114714922729687571
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> (happy(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & old(X0)) <=> (~funny(X0) <~> ~happy(X0))) [input p2]
7. ~quiet(susan) <=> funny(john) [input p... | 0 |
If susan is either not strong or wise then someone is either not brave or tall. Everyone who is kind is both curious and not patient and vice versa. Everyone who is humble is both generous and not generous. Everyone who is not brave is either not generous or not humble. If someone is not happy or rich then fred is rich... | Paul is generous. | entailment | (((~strong(susan)<~>wise(susan)))=>(?[X]:((~brave(X)<~>tall(X)))))&
(![X]:(kind(X)<=>(curious(X)&~patient(X))))&
(![X]:(humble(X)=>(generous(X)&~generous(X))))&
(![X]:(~brave(X)=>(~generous(X)<~>~humble(X))))&
((?[X]:((~happy(X)|rich(X))))=>((rich(fred)|~quiet(fred))))&
(![X]:((patient(X)<~>~creative(X))=>(kind(X)<~>fu... | generous(paul) | [
"p1",
"p2",
"p3",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3705693264391815648119382
% SZS output start Proof for 3705693264391815648119382
2. ! [X0] : (kind(X0) <=> (~patient(X0) & curious(X0))) [input p1]
3. ! [X0] : (humble(X0) => (~generous(X0) & generous(X0))) [input p2]
4. ! [X0] : (~brave(X0) => (~generous(X0) <~> ~humble(X0))) [input p3]
... | 0 |
Everyone who is either humble or not generous is both generous and patient and vice versa.
If someone is not brave or old then mary is strong.
If fred is not creative then john is both old and curious.
Everyone who is not strong is not brave and vice versa.
Everyone who is not brave is either strong or generous and vic... | Mary is humble. | contradiction | (![X]:((humble(X)<~>~generous(X))<=>(generous(X)&patient(X))))&
((?[X]:((~brave(X)|old(X))))=>(strong(mary)))&
((~creative(fred))=>((old(john)&curious(john))))&
(![X]:(~strong(X)<=>~brave(X)))&
(![X]:(~brave(X)<=>(strong(X)<~>generous(X))))&
(((patient(mary)&kind(mary)))=>((curious(mary)&~wise(mary))))&
(![X]:(calm(X)<... | humble(mary) | [
"p0",
"p1",
"p3",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2638116728632139028718722
% SZS output start Proof for 2638116728632139028718722
1. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> (patient(X0) & generous(X0))) [input p0]
2. ? [X0] : (old(X0) | ~brave(X0)) => strong(mary) [input p1]
4. ! [X0] : (~strong(X0) <=> ~brave(X0)) [input p3]
5. ! ... | 0 |
Everyone who is both old and not wise is not quiet.
Everyone who is not rich is not generous or not kind and vice versa.
If john is not quiet then someone is not calm and vice versa.
Everyone who is either curious or wise is not strong or not tall.
Everyone who is happy or not happy is either not patient or not rich.
E... | John is old. | neutral | (![X]:((old(X)&~wise(X))=>~quiet(X)))&
(![X]:(~rich(X)<=>(~generous(X)|~kind(X))))&
((~quiet(john))<=>(?[X]:(~calm(X))))&
(![X]:((curious(X)<~>wise(X))=>(~strong(X)|~tall(X))))&
(![X]:((happy(X)|~happy(X))=>(~patient(X)<~>~rich(X))))&
(![X]:((generous(X)|patient(X))=>(~calm(X)&curious(X))))&
((?[X]:((~curious(X)<~>stro... | old(john) | [] | null | 0 |
If mary is both not kind and not wise then someone is both not strong and not quiet and vice versa.
Everyone who is kind is not creative.
If mary is not happy then someone is not curious.
Everyone who is brave or not generous is not old and vice versa.
If someone is rich or not patient then someone is not funny or not ... | John is not patient. | entailment | (((~kind(mary)&~wise(mary)))<=>(?[X]:((~strong(X)&~quiet(X)))))&
(![X]:(kind(X)=>~creative(X)))&
((~happy(mary))=>(?[X]:(~curious(X))))&
(![X]:((brave(X)|~generous(X))<=>~old(X)))&
((?[X]:((rich(X)|~patient(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((~curious(X)|patient(X))=>(~generous(X)&kind(X))))&
((?[X]:((patien... | ~patient(john) | [
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2151694167195007071570936
% SZS output start Proof for 2151694167195007071570936
4. ! [X0] : ((~generous(X0) | brave(X0)) <=> ~old(X0)) [input p3]
6. ! [X0] : ((patient(X0) | ~curious(X0)) => (kind(X0) & ~generous(X0))) [input p5]
8. ! [X0] : ((~funny(X0) | humble(X0)) => (wise(X0) & old(... | 0 |
Everyone who is wise or curious is both not generous and not old.
If someone is either not humble or not generous then someone is either humble or kind and vice versa.
Everyone who is both calm and not humble is either not brave or brave and vice versa.
Everyone who is either generous or not strong is kind.
Everyone wh... | Mary is not strong. | entailment | (![X]:((wise(X)|curious(X))=>(~generous(X)&~old(X))))&
((?[X]:((~humble(X)<~>~generous(X))))<=>(?[X]:((humble(X)<~>kind(X)))))&
(![X]:((calm(X)&~humble(X))<=>(~brave(X)<~>brave(X))))&
(![X]:((generous(X)<~>~strong(X))=>kind(X)))&
(![X]:((curious(X)<~>tall(X))=>brave(X)))&
((?[X]:((calm(X)<~>patient(X))))=>(~happy(susan... | ~strong(mary) | [
"p0",
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 577573680028802203623057
% SZS output start Proof for 577573680028802203623057
1. ! [X0] : ((curious(X0) | wise(X0)) => (~old(X0) & ~generous(X0))) [input p0]
3. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~brave(X0) <~> brave(X0))) [input p2]
11. ! [X0] : ((~patient(X0) | ~curious(X0)) <=> (... | 0 |
Everyone who is both brave and generous is either not wise or wise and vice versa.
If john is old or calm then someone is rich or not curious and vice versa.
Everyone who is both humble and not funny is both not happy and not generous and vice versa.
If someone is both strong and not creative then mary is wise or not h... | Alice is funny. | contradiction | (![X]:((brave(X)&generous(X))<=>(~wise(X)<~>wise(X))))&
(((old(john)|calm(john)))<=>(?[X]:((rich(X)|~curious(X)))))&
(![X]:((humble(X)&~funny(X))<=>(~happy(X)&~generous(X))))&
((?[X]:((strong(X)&~creative(X))))=>((wise(mary)|~happy(mary))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:(~humbl... | funny(alice) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2546580807736268549210271
% SZS output start Proof for 2546580807736268549210271
6. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> happy(X0))) [input p5]
14. ? [X0] : funny(X0) => happy(mary) [input p13]
19. funny(alice) [input hypothesis]
27. happy(mary) | ! [X0] : ~funny(X0) [ennf transform... | 0 |
If someone is not strong then someone is old or not old and vice versa.
If someone is either not generous or humble then susan is both not quiet and not old.
Everyone who is not curious or not humble is quiet and vice versa.
If someone is either wise or not tall then someone is generous or not quiet and vice versa.
Eve... | Fred is not funny. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~old(X)))))&
((?[X]:((~generous(X)<~>humble(X))))=>((~quiet(susan)&~old(susan))))&
(![X]:((~curious(X)|~humble(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:((~curious(X)&~wise(X))<=>(curious(X)|~quiet(X))))&
((?[X]:((~strong(X)<~>tall(... | ~funny(fred) | [] | null | 0 |
If john is either not curious or not creative then someone is kind or not quiet and vice versa. Everyone who is kind is both humble and happy. If paul is both tall and funny then someone is patient and vice versa. Everyone who is both not creative and not wise is not old or generous. Everyone who is happy or not funny ... | John is not creative. | entailment | (((~curious(john)<~>~creative(john)))<=>(?[X]:((kind(X)|~quiet(X)))))&
(![X]:(kind(X)=>(humble(X)&happy(X))))&
(((tall(paul)&funny(paul)))<=>(?[X]:(patient(X))))&
(![X]:((~creative(X)&~wise(X))=>(~old(X)|generous(X))))&
(![X]:((happy(X)|~funny(X))<=>curious(X)))&
(((~tall(lucy)<~>humble(lucy)))<=>((~generous(alice)<~>~... | ~creative(john) | [
"p0",
"p4",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 269325924214757252965060
% SZS output start Proof for 269325924214757252965060
1. (~curious(john) <~> ~creative(john)) <=> ? [X0] : (~quiet(X0) | kind(X0)) [input p0]
5. ! [X0] : ((~funny(X0) | happy(X0)) <=> curious(X0)) [input p4]
9. ! [X0] : ((brave(X0) & curious(X0)) <=> funny(X0)) [i... | 0 |
If paul is both wise and generous then fred is both not funny and not curious.
If mary is quiet then someone is either not patient or not tall and vice versa.
Everyone who is both not happy and not brave is either not calm or old and vice versa.
If someone is both old and strong then someone is either not strong or ric... | Alice is not rich. | contradiction | (((wise(paul)&generous(paul)))=>((~funny(fred)&~curious(fred))))&
((quiet(mary))<=>(?[X]:((~patient(X)<~>~tall(X)))))&
(![X]:((~happy(X)&~brave(X))<=>(~calm(X)<~>old(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((~strong(X)<~>rich(X)))))&
((kind(alice))<=>((~humble(susan)<~>humble(susan))))&
((?[X]:((calm(X)|~curious(X)... | ~rich(alice) | [
"p2",
"p4",
"p9",
"p10",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6185507786350964066168611
% SZS output start Proof for 6185507786350964066168611
3. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (~calm(X0) <~> old(X0))) [input p2]
5. kind(alice) <=> (~humble(susan) <~> humble(susan)) [input p4]
10. ! [X0] : (~calm(X0) => (~wise(X0) & patient(X0))) [input p9]... | 0 |
If alice is not calm or rich then someone is both not tall and curious.
Everyone who is both calm and not wise is wise or not strong and vice versa.
If someone is not curious or not rich then mary is either calm or not curious.
If mary is funny or tall then mary is both generous and happy.
If susan is either not brave ... | Mary is not calm. | entailment | (((~calm(alice)|rich(alice)))=>(?[X]:((~tall(X)&curious(X)))))&
(![X]:((calm(X)&~wise(X))<=>(wise(X)|~strong(X))))&
((?[X]:((~curious(X)|~rich(X))))=>((calm(mary)<~>~curious(mary))))&
(((funny(mary)|tall(mary)))=>((generous(mary)&happy(mary))))&
(((~brave(susan)<~>~humble(susan)))<=>((strong(paul)&~humble(paul))))&
(((... | ~calm(mary) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3498070379151078895216370
% SZS output start Proof for 3498070379151078895216370
2. ! [X0] : ((~wise(X0) & calm(X0)) <=> (~strong(X0) | wise(X0))) [input p1]
3. ? [X0] : (~rich(X0) | ~curious(X0)) => (calm(mary) <~> ~curious(mary)) [input p2]
8. ! [X0] : ((brave(X0) | ~wise(X0)) <=> (happ... | 0 |
If paul is both not funny and not happy then someone is not generous and vice versa.
Everyone who is not happy is not strong and vice versa.
If mary is either humble or calm then susan is both calm and not patient and vice versa.
Everyone who is not curious or brave is kind.
If mary is both not kind and not humble then... | Lucy is strong. | neutral | (((~funny(paul)&~happy(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(((humble(mary)<~>calm(mary)))<=>((calm(susan)&~patient(susan))))&
(![X]:((~curious(X)|brave(X))=>kind(X)))&
(((~kind(mary)&~humble(mary)))<=>((creative(susan)<~>rich(susan))))&
(![X]:((calm(X)&~old(X))=>(funny(X)&happy(X))))&
(((... | strong(lucy) | [] | null | 0 |
Everyone who is either not kind or kind is both not brave and calm and vice versa.
If paul is either strong or not humble then someone is both not strong and not brave.
Everyone who is both not old and generous is either not old or patient and vice versa.
Everyone who is not brave is either kind or curious.
If mary is ... | Alice is tall. | neutral | (![X]:((~kind(X)<~>kind(X))<=>(~brave(X)&calm(X))))&
(((strong(paul)<~>~humble(paul)))=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~old(X)&generous(X))<=>(~old(X)<~>patient(X))))&
(![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan))... | tall(alice) | [] | null | 0 |
If someone is both not quiet and strong then alice is both not calm and wise.
If fred is either not patient or brave then mary is both happy and not rich.
If john is not creative then paul is creative or old and vice versa.
If susan is not patient then john is not creative.
Everyone who is both not rich and strong is n... | Mary is old. | neutral | ((?[X]:((~quiet(X)&strong(X))))=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~curious(X)<~>tall(X)))))&... | old(mary) | [] | null | 0 |
Everyone who is either old or curious is humble. Everyone who is either humble or creative is creative and vice versa. Everyone who is not old is rich. If someone is either curious or tall then john is either rich or kind. Everyone who is not quiet or not tall is both old and wise and vice versa. Everyone who is both n... | Mary is not tall. | entailment | (![X]:((old(X)<~>curious(X))=>humble(X)))&
(![X]:((humble(X)<~>creative(X))<=>creative(X)))&
(![X]:(~old(X)=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))=>((rich(john)<~>kind(john))))&
(![X]:((~quiet(X)|~tall(X))<=>(old(X)&wise(X))))&
(![X]:((~brave(X)&old(X))<=>~humble(X)))&
(![X]:((old(X)&brave(X))=>(funny(X)|~strong(... | ~tall(mary) | [
"p1",
"p5",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9064985595087392794818387
% SZS output start Proof for 9064985595087392794818387
2. ! [X0] : ((humble(X0) <~> creative(X0)) <=> creative(X0)) [input p1]
6. ! [X0] : ((old(X0) & ~brave(X0)) <=> ~humble(X0)) [input p5]
13. ! [X0] : ((~tall(X0) <~> old(X0)) => (calm(X0) & funny(X0))) [input ... | 0 |
Everyone who is both not tall and not wise is both generous and not brave.
If someone is not rich then someone is not kind and vice versa.
Everyone who is not brave is kind or strong.
Everyone who is both funny and not funny is not happy or strong and vice versa.
If someone is both not creative and not tall then lucy i... | Alice is not tall. | contradiction | (![X]:((~tall(X)&~wise(X))=>(generous(X)&~brave(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(~kind(X))))&
(![X]:(~brave(X)=>(kind(X)|strong(X))))&
(![X]:((funny(X)&~funny(X))<=>(~happy(X)|strong(X))))&
((?[X]:((~creative(X)&~tall(X))))=>(generous(lucy)))&
(![X]:((~calm(X)|~old(X))=>curious(X)))&
(![X]:((~curious(X)|generous(X))=... | ~tall(alice) | [
"p2",
"p3",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4402881699080108251252471
% SZS output start Proof for 4402881699080108251252471
3. ! [X0] : (~brave(X0) => (strong(X0) | kind(X0))) [input p2]
4. ! [X0] : ((~funny(X0) & funny(X0)) <=> (strong(X0) | ~happy(X0))) [input p3]
11. ! [X0] : ((~strong(X0) & brave(X0)) => (patient(X0) & creativ... | 0 |
Everyone who is both not old and rich is both not rich and generous and vice versa.
Everyone who is brave or rich is not tall.
If someone is quiet or kind then fred is wise or quiet and vice versa.
Everyone who is quiet is both creative and strong and vice versa.
Everyone who is both humble and generous is creative and... | Mary is not calm. | neutral | (![X]:((~old(X)&rich(X))<=>(~rich(X)&generous(X))))&
(![X]:((brave(X)|rich(X))=>~tall(X)))&
((?[X]:((quiet(X)|kind(X))))<=>((wise(fred)|quiet(fred))))&
(![X]:(quiet(X)<=>(creative(X)&strong(X))))&
(![X]:((humble(X)&generous(X))<=>creative(X)))&
(((~patient(lucy)&~old(lucy)))=>((kind(lucy)|quiet(lucy))))&
(![X]:((tall(X... | ~calm(mary) | [] | null | 0 |
If fred is both not generous and not kind then fred is not wise or generous. If susan is either not strong or rich then alice is both not generous and not creative and vice versa. Everyone who is either not tall or not rich is both not generous and not patient and vice versa. If fred is either not funny or humble then ... | Fred is curious. | contradiction | (((~generous(fred)&~kind(fred)))=>((~wise(fred)|generous(fred))))&
(((~strong(susan)<~>rich(susan)))<=>((~generous(alice)&~creative(alice))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(... | curious(fred) | [
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2531646676251828561216324
% SZS output start Proof for 2531646676251828561216324
15. ! [X0] : (quiet(X0) <=> (rich(X0) | curious(X0))) [input p14]
24. ~quiet(fred) [input p23]
25. curious(fred) [input hypothesis]
60. ! [X0] : ((quiet(X0) | (~rich(X0) & ~curious(X0))) & ((rich(X0) | curiou... | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Lucy is not creative. | entailment | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | ~creative(lucy) | [
"p0",
"p4",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 95113865838953170713225
% SZS output start Proof for 95113865838953170713225
1. ? [X0] : tall(X0) <=> (~strong(alice) & ~funny(alice)) [input p0]
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
9. ! [X0] : ((~creative(X0) | tall(X0)) <=> (tall(X0) <~> ~kind(X0))) [input p... | 0 |
Everyone who is curious or calm is both happy and not curious and vice versa.
If alice is both not humble and kind then someone is either rich or not calm and vice versa.
If someone is strong then alice is humble or not old and vice versa.
Everyone who is either not happy or rich is not funny or happy and vice versa.
I... | Susan is not kind. | contradiction | (![X]:((curious(X)|calm(X))<=>(happy(X)&~curious(X))))&
(((~humble(alice)&kind(alice)))<=>(?[X]:((rich(X)<~>~calm(X)))))&
((?[X]:(strong(X)))<=>((humble(alice)|~old(alice))))&
(![X]:((~happy(X)<~>rich(X))<=>(~funny(X)|happy(X))))&
(((funny(john)<~>~old(john)))<=>((~rich(john)&patient(john))))&
(![X]:((rich(X)<~>~old(X)... | ~kind(susan) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2888528974148152052552499
% SZS output start Proof for 2888528974148152052552499
8. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (creative(X0) | strong(X0))) [input p7]
12. ! [X0] : ((~wise(X0) | strong(X0)) <=> (kind(X0) <~> wise(X0))) [input p11]
20. ~kind(susan) [input hypothesis]
50. ! [X0]... | 0 |
If lucy is both not strong and calm then lucy is not creative and vice versa.
Everyone who is funny or not curious is either generous or not brave and vice versa.
If someone is both happy and humble then someone is old.
If someone is both not funny and not old then someone is creative.
Everyone who is not tall or not q... | Paul is not curious. | contradiction | (((~strong(lucy)&calm(lucy)))<=>(~creative(lucy)))&
(![X]:((funny(X)|~curious(X))<=>(generous(X)<~>~brave(X))))&
((?[X]:((happy(X)&humble(X))))=>(?[X]:(old(X))))&
((?[X]:((~funny(X)&~old(X))))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)|~quiet(X))=>(rich(X)<~>~brave(X))))&
((old(paul))=>(?[X]:((wise(X)&~rich(X)))))&
(![X]... | ~curious(paul) | [
"p5",
"p7",
"p8",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2510594234810933890445271
% SZS output start Proof for 2510594234810933890445271
6. old(paul) => ? [X0] : (~rich(X0) & wise(X0)) [input p5]
8. ! [X0] : ((brave(X0) | curious(X0)) <=> patient(X0)) [input p7]
9. ! [X0] : ((~funny(X0) & ~happy(X0)) <=> ~quiet(X0)) [input p8]
10. ! [X0] : ((o... | 0 |
If someone is funny or not happy then someone is either not generous or creative and vice versa. If susan is strong then someone is happy or humble. If paul is not creative then mary is not wise or not curious. Everyone who is both patient and funny is both not creative and tall and vice versa. Everyone who is not quie... | Susan is not old. | entailment | ((?[X]:((funny(X)|~happy(X))))<=>(?[X]:((~generous(X)<~>creative(X)))))&
((strong(susan))=>(?[X]:((happy(X)|humble(X)))))&
((~creative(paul))=>((~wise(mary)|~curious(mary))))&
(![X]:((patient(X)&funny(X))<=>(~creative(X)&tall(X))))&
(![X]:((~quiet(X)|funny(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:(~old(X)))=>((~calm(fred... | ~old(susan) | [
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1528443688091208057302254
% SZS output start Proof for 1528443688091208057302254
5. ! [X0] : ((funny(X0) | ~quiet(X0)) => (~calm(X0) <~> ~humble(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | tall(X0)) => (rich(X0) <~> ~quiet(X0))) [input p6]
8. ? [X0] : (~kind(X0) <~> humble(X0)) => (~genero... | 0 |
If paul is either quiet or not tall then paul is wise or old and vice versa.
If someone is either funny or kind then someone is either kind or patient.
If someone is tall or not rich then mary is curious and vice versa.
If someone is both not tall and kind then someone is either not happy or not calm and vice versa.
If... | Paul is humble. | entailment | (((quiet(paul)<~>~tall(paul)))<=>((wise(paul)|old(paul))))&
((?[X]:((funny(X)<~>kind(X))))=>(?[X]:((kind(X)<~>patient(X)))))&
((?[X]:((tall(X)|~rich(X))))<=>(curious(mary)))&
((?[X]:((~tall(X)&kind(X))))<=>(?[X]:((~happy(X)<~>~calm(X)))))&
((?[X]:(calm(X)))=>(?[X]:((~patient(X)<~>~generous(X)))))&
(![X]:(~funny(X)=>(~c... | humble(paul) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5285880739313408971823705
% SZS output start Proof for 5285880739313408971823705
14. ? [X0] : (kind(X0) | creative(X0)) <=> (rich(paul) & humble(paul)) [input p13]
21. ? [X0] : (creative(X0) & ~happy(X0)) [input p20]
25. ~humble(paul) [input hypothesis]
70. (? [X0] : (kind(X0) | creative(... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either c... | Alice is calm. | contradiction | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious... | calm(alice) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2553656742598454931517530
% SZS output start Proof for 2553656742598454931517530
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
4. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p3]
6. ! [X0] : ((curious(X0)... | 0 |
Everyone who is either tall or happy is not wise or rich and vice versa.
If susan is either quiet or generous then someone is both not generous and not strong and vice versa.
Everyone who is quiet or rich is not creative.
If alice is either tall or not happy then alice is both not patient and strong.
Everyone who is no... | Alice is strong. | neutral | (![X]:((tall(X)<~>happy(X))<=>(~wise(X)|rich(X))))&
(((quiet(susan)<~>generous(susan)))<=>(?[X]:((~generous(X)&~strong(X)))))&
(![X]:((quiet(X)|rich(X))=>~creative(X)))&
(((tall(alice)<~>~happy(alice)))=>((~patient(alice)&strong(alice))))&
(![X]:(~happy(X)=>(patient(X)&~kind(X))))&
(![X]:((~generous(X)|~curious(X))=>(~... | strong(alice) | [] | null | 0 |
If paul is both patient and not calm then someone is tall or generous and vice versa. Everyone who is either wise or not funny is both not happy and funny and vice versa. If someone is both not funny and brave then someone is both not patient and happy. Everyone who is not strong is funny or tall and vice versa. If pau... | Fred is not curious. | neutral | (((patient(paul)&~calm(paul)))<=>(?[X]:((tall(X)|generous(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>(~happy(X)&funny(X))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:(~strong(X)<=>(funny(X)|tall(X))))&
(((happy(paul)|~brave(paul)))<=>(tall(lucy)))&
(![X]:((curious(X)&humble(X))<=>(curious(X)<... | ~curious(fred) | [] | null | 0 |
Everyone who is not patient or happy is both calm and not quiet. Everyone who is not humble is not wise and vice versa. If someone is both curious and not patient then mary is either not rich or happy. Everyone who is either not strong or not curious is humble or not curious and vice versa. If someone is happy or not g... | Mary is wise. | entailment | (![X]:((~patient(X)|happy(X))=>(calm(X)&~quiet(X))))&
(![X]:(~humble(X)<=>~wise(X)))&
((?[X]:((curious(X)&~patient(X))))=>((~rich(mary)<~>happy(mary))))&
(![X]:((~strong(X)<~>~curious(X))<=>(humble(X)|~curious(X))))&
((?[X]:((happy(X)|~generous(X))))=>(?[X]:((~brave(X)&brave(X)))))&
(![X]:((~patient(X)<~>~strong(X))=>(... | wise(mary) | [
"p0",
"p3",
"p5",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4217972558782529331280286
% SZS output start Proof for 4217972558782529331280286
1. ! [X0] : ((happy(X0) | ~patient(X0)) => (~quiet(X0) & calm(X0))) [input p0]
4. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> (~curious(X0) | humble(X0))) [input p3]
6. ! [X0] : ((~patient(X0) <~> ~strong(X0... | 0 |
If alice is both not wise and not strong then someone is calm or tall.
If someone is creative or not tall then lucy is not generous.
Everyone who is both curious and rich is brave.
If someone is both brave and tall then lucy is not curious or wise.
If someone is not funny then someone is funny.
Everyone who is both not... | Susan is not happy. | neutral | (((~wise(alice)&~strong(alice)))=>(?[X]:((calm(X)|tall(X)))))&
((?[X]:((creative(X)|~tall(X))))=>(~generous(lucy)))&
(![X]:((curious(X)&rich(X))=>brave(X)))&
((?[X]:((brave(X)&tall(X))))=>((~curious(lucy)|wise(lucy))))&
((?[X]:(~funny(X)))=>(?[X]:(funny(X))))&
(![X]:((~old(X)&~patient(X))=>(~creative(X)<~>calm(X))))&
(... | ~happy(susan) | [] | null | 0 |
Everyone who is either not creative or not rich is not brave or not creative and vice versa. Everyone who is quiet or tall is not old or funny. Everyone who is either not humble or generous is tall or wise and vice versa. If someone is both not happy and not patient then alice is both rich and creative and vice versa. ... | John is patient. | neutral | (![X]:((~creative(X)<~>~rich(X))<=>(~brave(X)|~creative(X))))&
(![X]:((quiet(X)|tall(X))=>(~old(X)|funny(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(tall(X)|wise(X))))&
((?[X]:((~happy(X)&~patient(X))))<=>((rich(alice)&creative(alice))))&
(((calm(mary)|~happy(mary)))=>((calm(john)&wise(john))))&
(![X]:(funny(X)=>(~kind... | patient(john) | [] | null | 0 |
If john is both not wise and generous then someone is either not brave or tall and vice versa. Everyone who is both creative and brave is either tall or creative and vice versa. Everyone who is creative is both not calm and not happy. If mary is both not patient and quiet then lucy is not humble or not creative and vic... | Alice is tall. | contradiction | (((~wise(john)&generous(john)))<=>(?[X]:((~brave(X)<~>tall(X)))))&
(![X]:((creative(X)&brave(X))<=>(tall(X)<~>creative(X))))&
(![X]:(creative(X)=>(~calm(X)&~happy(X))))&
(((~patient(mary)&quiet(mary)))<=>((~humble(lucy)|~creative(lucy))))&
(![X]:((~generous(X)|creative(X))<=>quiet(X)))&
((~tall(paul))<=>(?[X]:((calm(X)... | tall(alice) | [
"p1",
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 470406651677191658890386
% SZS output start Proof for 470406651677191658890386
2. ! [X0] : ((brave(X0) & creative(X0)) <=> (tall(X0) <~> creative(X0))) [input p1]
5. ! [X0] : ((creative(X0) | ~generous(X0)) <=> quiet(X0)) [input p4]
23. ~happy(alice) & ~quiet(alice) [input p22]
25. tall(a... | 0 |
If someone is both not humble and wise then lucy is both not happy and creative and vice versa. Everyone who is either not generous or not happy is patient or not creative. If someone is not strong then someone is both not rich and strong and vice versa. Everyone who is both curious and creative is tall or humble. Ever... | John is not happy. | neutral | ((?[X]:((~humble(X)&wise(X))))<=>((~happy(lucy)&creative(lucy))))&
(![X]:((~generous(X)<~>~happy(X))=>(patient(X)|~creative(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~rich(X)&strong(X)))))&
(![X]:((curious(X)&creative(X))=>(tall(X)|humble(X))))&
(![X]:((creative(X)<~>~patient(X))=>(~wise(X)&~kind(X))))&
(![X]:(~creative(X)... | ~happy(john) | [] | null | 0 |
If john is kind then someone is funny or not wise and vice versa.
If mary is funny or curious then lucy is not tall.
Everyone who is calm is either not curious or creative and vice versa.
If alice is either not humble or strong then someone is either not calm or calm.
Everyone who is not happy or not patient is kind or... | Alice is humble. | contradiction | ((kind(john))<=>(?[X]:((funny(X)|~wise(X)))))&
(((funny(mary)|curious(mary)))=>(~tall(lucy)))&
(![X]:(calm(X)<=>(~curious(X)<~>creative(X))))&
(((~humble(alice)<~>strong(alice)))=>(?[X]:((~calm(X)<~>calm(X)))))&
(![X]:((~happy(X)|~patient(X))=>(kind(X)|generous(X))))&
(![X]:((~kind(X)<~>curious(X))=>~patient(X)))&
(((h... | humble(alice) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4566198633902059498179577
% SZS output start Proof for 4566198633902059498179577
8. ? [X0] : (wise(X0) | ~patient(X0)) => (~strong(alice) & ~humble(alice)) [input p7]
22. wise(fred) & ~generous(fred) [input p21]
25. humble(alice) [input hypothesis]
33. (~strong(alice) & ~humble(alice)) | ... | 0 |
If someone is happy then someone is both not creative and funny.
If john is curious or humble then someone is not quiet or brave.
Everyone who is both not generous and wise is either not generous or not patient and vice versa.
If someone is not strong or kind then john is not rich.
Everyone who is either not wise or ki... | Paul is not funny. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((~creative(X)&funny(X)))))&
(((curious(john)|humble(john)))=>(?[X]:((~quiet(X)|brave(X)))))&
(![X]:((~generous(X)&wise(X))<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)|kind(X))))=>(~rich(john)))&
(![X]:((~wise(X)<~>kind(X))<=>(~funny(X)&~wise(X))))&
(![X]:(~generous(X)=>(curious(X)|~... | ~funny(paul) | [
"p6",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1007806532799762117866833
% SZS output start Proof for 1007806532799762117866833
7. ! [X0] : ((funny(X0) & ~brave(X0)) <=> ~creative(X0)) [input p6]
9. ! [X0] : (brave(X0) <=> (~tall(X0) <~> ~creative(X0))) [input p8]
12. ! [X0] : ((~brave(X0) & ~old(X0)) <=> ~tall(X0)) [input p11]
21. ~o... | 0 |
If mary is either wise or old then someone is creative and vice versa. If susan is both generous and wise then someone is not happy or not brave and vice versa. Everyone who is old is not funny or not creative and vice versa. If fred is either generous or tall then someone is calm. Everyone who is both brave and funny ... | Susan is old. | contradiction | (((wise(mary)<~>old(mary)))<=>(?[X]:(creative(X))))&
(((generous(susan)&wise(susan)))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(old(X)<=>(~funny(X)|~creative(X))))&
(((generous(fred)<~>tall(fred)))=>(?[X]:(calm(X))))&
(![X]:((brave(X)&funny(X))<=>old(X)))&
(((old(fred)<~>~creative(fred)))<=>((quiet(susan)|old(susan))))... | old(susan) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2594616811220814857831023
% SZS output start Proof for 2594616811220814857831023
3. ! [X0] : (old(X0) <=> (~creative(X0) | ~funny(X0))) [input p2]
5. ! [X0] : ((funny(X0) & brave(X0)) <=> old(X0)) [input p4]
6. (old(fred) <~> ~creative(fred)) <=> (old(susan) | quiet(susan)) [input p5]
22.... | 0 |
If fred is either kind or not tall then someone is not strong or not curious.
Everyone who is either not calm or not brave is kind or curious and vice versa.
Everyone who is humble or kind is both not kind and not generous and vice versa.
Everyone who is not wise is both not generous and humble and vice versa.
Everyone... | Lucy is generous. | entailment | (((kind(fred)<~>~tall(fred)))=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((~calm(X)<~>~brave(X))<=>(kind(X)|curious(X))))&
(![X]:((humble(X)|kind(X))<=>(~kind(X)&~generous(X))))&
(![X]:(~wise(X)<=>(~generous(X)&humble(X))))&
(![X]:((generous(X)|humble(X))=>(wise(X)&happy(X))))&
((?[X]:((wise(X)&creative(X))))=>(?[X]:((... | generous(lucy) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6543648953869877838880546
% SZS output start Proof for 6543648953869877838880546
3. ! [X0] : ((kind(X0) | humble(X0)) <=> (~generous(X0) & ~kind(X0))) [input p2]
4. ! [X0] : (~wise(X0) <=> (humble(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((humble(X0) | generous(X0)) => (happy(X0) & wi... | 0 |
If paul is either not calm or humble then someone is not strong. Everyone who is humble or funny is either not humble or not curious. Everyone who is generous or funny is calm and vice versa. Everyone who is not happy or kind is both not tall and not brave and vice versa. If lucy is either not wise or kind then someone... | Fred is curious. | contradiction | (((~calm(paul)<~>humble(paul)))=>(?[X]:(~strong(X))))&
(![X]:((humble(X)|funny(X))=>(~humble(X)<~>~curious(X))))&
(![X]:((generous(X)|funny(X))<=>calm(X)))&
(![X]:((~happy(X)|kind(X))<=>(~tall(X)&~brave(X))))&
(((~wise(lucy)<~>kind(lucy)))=>(?[X]:((calm(X)<~>~tall(X)))))&
(((~rich(alice)<~>funny(alice)))=>(?[X]:((old(X... | curious(fred) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 921553106572152408665524
% SZS output start Proof for 921553106572152408665524
2. ! [X0] : ((funny(X0) | humble(X0)) => (~humble(X0) <~> ~curious(X0))) [input p1]
13. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (curious(X0) | ~generous(X0))) [input p12]
24. curious(fred) [input hypothesis]
31.... | 0 |
Everyone who is either kind or not calm is not brave and vice versa.
If someone is tall then someone is wise and vice versa.
Everyone who is not curious or curious is either not funny or brave.
Everyone who is both brave and kind is not strong or happy and vice versa.
If john is not happy or patient then someone is kin... | Lucy is tall. | neutral | (![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(~tall(X)&funny(X))))&
(((~wise(paul)<~>old(paul)))=>(?... | tall(lucy) | [] | null | 0 |
If someone is both brave and not tall then someone is either not quiet or not rich and vice versa.
If someone is either not curious or not rich then mary is generous and vice versa.
Everyone who is not kind or rich is patient and vice versa.
Everyone who is either not strong or not creative is both generous and not old... | Alice is strong. | neutral | ((?[X]:((brave(X)&~tall(X))))<=>(?[X]:((~quiet(X)<~>~rich(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(generous(mary)))&
(![X]:((~kind(X)|rich(X))<=>patient(X)))&
(![X]:((~strong(X)<~>~creative(X))<=>(generous(X)&~old(X))))&
(![X]:((quiet(X)|funny(X))=>(humble(X)|kind(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((creative(X)<~>... | strong(alice) | [] | null | 0 |
If someone is not old or not tall then someone is both quiet and curious.
If alice is old or kind then fred is both not funny and not old and vice versa.
If alice is not rich or not humble then someone is not funny.
Everyone who is either not calm or not rich is not wise.
Everyone who is quiet or calm is either not kin... | Paul is humble. | contradiction | ((?[X]:((~old(X)|~tall(X))))=>(?[X]:((quiet(X)&curious(X)))))&
(((old(alice)|kind(alice)))<=>((~funny(fred)&~old(fred))))&
(((~rich(alice)|~humble(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)<~>~rich(X))=>~wise(X)))&
(![X]:((quiet(X)|calm(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:(generous(X)<=>tall(X)))&
((?[X]:(kind(X)... | humble(paul) | [
"p0",
"p4",
"p6",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6686624374182223718451819
% SZS output start Proof for 6686624374182223718451819
1. ? [X0] : (~tall(X0) | ~old(X0)) => ? [X0] : (curious(X0) & quiet(X0)) [input p0]
5. ! [X0] : ((calm(X0) | quiet(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p4]
7. ? [X0] : kind(X0) => (~happy(lucy) & tall(l... | 0 |
Everyone who is both happy and not humble is either not creative or not humble and vice versa.
Everyone who is happy is either funny or wise and vice versa.
Everyone who is not old is generous.
If paul is both not happy and not calm then someone is both tall and not happy.
Everyone who is old or not funny is either ric... | John is not old. | entailment | (![X]:((happy(X)&~humble(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(happy(X)<=>(funny(X)<~>wise(X))))&
(![X]:(~old(X)=>generous(X)))&
(((~happy(paul)&~calm(paul)))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~w... | ~old(john) | [
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2284097378367634192595
% SZS output start Proof for 2284097378367634192595
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient(X0) & ~tall(X0))) [input p10]
13. ! [X0] : ((old(X0) | ~creative(X0)) => (funny(X0) & wise(X0))) [input p12]
14. ? [X0] : (tall(X0) | funny(X0)) => (old(lucy... | 0 |
If fred is both not brave and not happy then someone is happy and vice versa.
Everyone who is both not old and humble is not wise and vice versa.
Everyone who is not generous is generous.
If alice is not kind then someone is not creative or rich and vice versa.
If alice is strong then lucy is not curious and vice versa... | Lucy is not generous. | contradiction | (((~brave(fred)&~happy(fred)))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)&humble(X))<=>~wise(X)))&
(![X]:(~generous(X)=>generous(X)))&
((~kind(alice))<=>(?[X]:((~creative(X)|rich(X)))))&
((strong(alice))<=>(~curious(lucy)))&
(![X]:((creative(X)|~funny(X))<=>~funny(X)))&
((?[X]:(kind(X)))=>(?[X]:((~brave(X)<~>~kind(X)))))&
(... | ~generous(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8571387873666808381461811
% SZS output start Proof for 8571387873666808381461811
3. ! [X0] : (~generous(X0) => generous(X0)) [input p2]
23. ~generous(lucy) [input hypothesis]
32. ! [X0] : (generous(X0) | generous(X0)) [ennf transformation 3]
82. generous(X0) | generous(X0) [cnf transforma... | 0 |
If someone is not patient then mary is either not generous or not old and vice versa.
Everyone who is either generous or not funny is either not patient or not wise.
If alice is both patient and curious then mary is not rich or brave.
If john is both not rich and brave then mary is patient and vice versa.
Everyone who ... | John is rich. | contradiction | ((?[X]:(~patient(X)))<=>((~generous(mary)<~>~old(mary))))&
(![X]:((generous(X)<~>~funny(X))=>(~patient(X)<~>~wise(X))))&
(((patient(alice)&curious(alice)))=>((~rich(mary)|brave(mary))))&
(((~rich(john)&brave(john)))<=>(patient(mary)))&
(![X]:((happy(X)|~curious(X))=>(~humble(X)<~>~brave(X))))&
((~creative(fred))<=>(?[X... | rich(john) | [
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3604554250524135381331412
% SZS output start Proof for 3604554250524135381331412
15. ! [X0] : (~curious(X0) <=> (~rich(X0) <~> ~humble(X0))) [input p14]
16. (kind(john) & ~rich(john)) <=> ? [X0] : (~humble(X0) <~> rich(X0)) [input p15]
21. ? [X0] : (~humble(X0) & curious(X0)) [input p20]
... | 0 |
If someone is not kind or old then lucy is generous.
Everyone who is both not patient and quiet is curious or not patient.
If someone is both rich and not happy then alice is kind or not rich.
If someone is not curious or strong then fred is curious or not funny and vice versa.
If someone is quiet or not calm then fred... | Alice is not quiet. | entailment | ((?[X]:((~kind(X)|old(X))))=>(generous(lucy)))&
(![X]:((~patient(X)&quiet(X))=>(curious(X)|~patient(X))))&
((?[X]:((rich(X)&~happy(X))))=>((kind(alice)|~rich(alice))))&
((?[X]:((~curious(X)|strong(X))))<=>((curious(fred)|~funny(fred))))&
((?[X]:((quiet(X)|~calm(X))))<=>((curious(fred)&~quiet(fred))))&
(((~calm(alice)<~... | ~quiet(alice) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 591800190107147905905501
% SZS output start Proof for 591800190107147905905501
5. ? [X0] : (~calm(X0) | quiet(X0)) <=> (~quiet(fred) & curious(fred)) [input p4]
10. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~quiet(X0) | patient(X0))) [input p9]
25. quiet(alice) [input hypothesis]
49. (?... | 0 |
If someone is old then someone is either curious or not patient. If paul is either calm or humble then fred is wise or patient. Everyone who is generous or funny is old and vice versa. If someone is not wise then someone is both rich and not curious and vice versa. Everyone who is both old and creative is either not cr... | Paul is kind. | contradiction | ((?[X]:(old(X)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(((calm(paul)<~>humble(paul)))=>((wise(fred)|patient(fred))))&
(![X]:((generous(X)|funny(X))<=>old(X)))&
((?[X]:(~wise(X)))<=>(?[X]:((rich(X)&~curious(X)))))&
(![X]:((old(X)&creative(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((~calm(X)<~>old(X))<=>(~old(X)&~creative... | kind(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7245898467030184093884731
% SZS output start Proof for 7245898467030184093884731
19. ~kind(paul) [input p18]
25. kind(paul) [input hypothesis]
147. ~kind(paul) [cnf transformation 19]
155. kind(paul) [cnf transformation 25]
351. $false [subsumption resolution 155,147]
% SZS output end Pro... | 0 |
If fred is either not old or patient then someone is either not quiet or not curious and vice versa.
Everyone who is calm is both not strong and not kind and vice versa.
Everyone who is patient is not generous and vice versa.
If someone is both not wise and generous then lucy is either patient or not rich and vice vers... | Susan is creative. | neutral | (((~old(fred)<~>patient(fred)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:(calm(X)<=>(~strong(X)&~kind(X))))&
(![X]:(patient(X)<=>~generous(X)))&
((?[X]:((~wise(X)&generous(X))))<=>((patient(lucy)<~>~rich(lucy))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:((~calm(X)&creative(X))<=>(... | creative(susan) | [] | null | 0 |
Everyone who is curious or tall is quiet and vice versa.
Everyone who is old or strong is either funny or humble and vice versa.
If mary is curious then someone is either tall or creative.
Everyone who is tall is not calm or not old.
If someone is calm then fred is creative or patient.
If someone is not generous or not... | Fred is old. | neutral | (![X]:((curious(X)|tall(X))<=>quiet(X)))&
(![X]:((old(X)|strong(X))<=>(funny(X)<~>humble(X))))&
((curious(mary))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:(tall(X)=>(~calm(X)|~old(X))))&
((?[X]:(calm(X)))=>((creative(fred)|patient(fred))))&
((?[X]:((~generous(X)|~curious(X))))<=>((quiet(fred)<~>strong(fred))))&
(((~wis... | old(fred) | [] | null | 0 |
If paul is quiet or not kind then someone is either wise or not kind and vice versa. Everyone who is both patient and not wise is strong. Everyone who is both rich and not quiet is not old or creative and vice versa. Everyone who is both happy and not kind is not humble or not tall and vice versa. Everyone who is both ... | Fred is rich. | entailment | (((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((patient(X)&~wise(X))=>strong(X)))&
(![X]:((rich(X)&~quiet(X))<=>(~old(X)|creative(X))))&
(![X]:((happy(X)&~kind(X))<=>(~humble(X)|~tall(X))))&
(![X]:((calm(X)&tall(X))<=>(humble(X)|old(X))))&
(![X]:(~funny(X)<=>rich(X)))&
(![X]:((~kind(X)&~quiet(X))... | rich(fred) | [
"p2",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 79106835037121108409546
% SZS output start Proof for 79106835037121108409546
3. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (creative(X0) | ~old(X0))) [input p2]
8. ! [X0] : (curious(X0) => (~curious(X0) & rich(X0))) [input p7]
15. ? [X0] : (creative(X0) | generous(X0)) <=> (creative(fred) & hu... | 0 |
If someone is wise or brave then mary is not patient or kind. If someone is calm then someone is both not generous and not curious and vice versa. Everyone who is both not brave and tall is either generous or funny and vice versa. Everyone who is both not rich and tall is either quiet or not old and vice versa. Everyon... | Mary is quiet. | entailment | ((?[X]:((wise(X)|brave(X))))=>((~patient(mary)|kind(mary))))&
((?[X]:(calm(X)))<=>(?[X]:((~generous(X)&~curious(X)))))&
(![X]:((~brave(X)&tall(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)&tall(X))<=>(quiet(X)<~>~old(X))))&
(![X]:((~curious(X)|~kind(X))=>(~creative(X)|~kind(X))))&
(((kind(alice)&~calm(alice)))<=>(... | quiet(mary) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9108374273370407252997925
% SZS output start Proof for 9108374273370407252997925
13. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p12]
15. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (curious(X0) | ~quiet(X0))) [input p14]
22. ~quiet(mary) [input hypothesis]
52. ! [X... | 0 |
If fred is rich then paul is both not rich and creative.
Everyone who is not patient is either not wise or calm and vice versa.
If susan is both not old and not creative then someone is funny and vice versa.
Everyone who is funny or tall is either brave or not rich.
Everyone who is patient or old is either not happy or... | Susan is not old. | entailment | ((rich(fred))=>((~rich(paul)&creative(paul))))&
(![X]:(~patient(X)<=>(~wise(X)<~>calm(X))))&
(((~old(susan)&~creative(susan)))<=>(?[X]:(funny(X))))&
(![X]:((funny(X)|tall(X))=>(brave(X)<~>~rich(X))))&
(![X]:((patient(X)|old(X))=>(~happy(X)<~>generous(X))))&
((rich(alice))=>((~generous(lucy)<~>~curious(lucy))))&
(((old(... | ~old(susan) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5553458206840089419786815
% SZS output start Proof for 5553458206840089419786815
3. (~creative(susan) & ~old(susan)) <=> ? [X0] : funny(X0) [input p2]
24. ? [X0] : (~old(X0) & funny(X0)) [input p23]
25. old(susan) [input hypothesis]
39. ((~creative(susan) & ~old(susan)) | ! [X0] : ~funny(... | 0 |
Everyone who is tall is curious. If someone is either not wise or not brave then someone is either not strong or humble. Everyone who is both not curious and creative is either not funny or brave and vice versa. If alice is patient then someone is not happy or old and vice versa. Everyone who is both brave and old is n... | Alice is strong. | contradiction | (![X]:(tall(X)=>curious(X)))&
((?[X]:((~wise(X)<~>~brave(X))))=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:((~curious(X)&creative(X))<=>(~funny(X)<~>brave(X))))&
((patient(alice))<=>(?[X]:((~happy(X)|old(X)))))&
(![X]:((brave(X)&old(X))=>(~happy(X)|curious(X))))&
((?[X]:((~old(X)&~wise(X))))<=>((generous(paul)|funny(pau... | strong(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2840808180171807661940051
% SZS output start Proof for 2840808180171807661940051
15. ! [X0] : ((strong(X0) | ~generous(X0)) => (patient(X0) & ~patient(X0))) [input p14]
24. strong(alice) [input hypothesis]
36. ! [X0] : ((patient(X0) & ~patient(X0)) | (~strong(X0) & generous(X0))) [ennf tr... | 0 |
Everyone who is both not strong and patient is humble.
If someone is not old then someone is not curious or happy and vice versa.
Everyone who is either not quiet or patient is brave or quiet.
Everyone who is both patient and wise is not old.
If someone is not happy or not generous then someone is kind or not humble an... | Alice is quiet. | entailment | (![X]:((~strong(X)&patient(X))=>humble(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~curious(X)|happy(X)))))&
(![X]:((~quiet(X)<~>patient(X))=>(brave(X)|quiet(X))))&
(![X]:((patient(X)&wise(X))=>~old(X)))&
((?[X]:((~happy(X)|~generous(X))))<=>(?[X]:((kind(X)|~humble(X)))))&
((?[X]:((~kind(X)<~>quiet(X))))=>((humble(paul)<~>~wise(... | quiet(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1884712697602788351980936
% SZS output start Proof for 1884712697602788351980936
8. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (~quiet(X0) & patient(X0))) [input p7]
24. ~quiet(alice) [input hypothesis]
56. ! [X0] : ((((~quiet(X0) | patient(X0)) & (quiet(X0) | ~patient(X0))) | (quiet(X0) ... | 0 |
Everyone who is not tall or not kind is either not strong or not patient and vice versa. Everyone who is not creative is not strong. If mary is funny then someone is either tall or not tall and vice versa. If mary is not patient then someone is both quiet and not curious and vice versa. If fred is humble or not curious... | Mary is not patient. | contradiction | (![X]:((~tall(X)|~kind(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:(~creative(X)=>~strong(X)))&
((funny(mary))<=>(?[X]:((tall(X)<~>~tall(X)))))&
((~patient(mary))<=>(?[X]:((quiet(X)&~curious(X)))))&
(((humble(fred)|~curious(fred)))=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)|~happy(X))))<=>(?[X]:((~kind(X)<~>curious(X)))))&... | ~patient(mary) | [
"p0",
"p2",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1168698305729554492917315
% SZS output start Proof for 1168698305729554492917315
1. ! [X0] : ((~kind(X0) | ~tall(X0)) <=> (~strong(X0) <~> ~patient(X0))) [input p0]
3. funny(mary) <=> ? [X0] : (tall(X0) <~> ~tall(X0)) [input p2]
13. ! [X0] : (strong(X0) => generous(X0)) [input p12]
15. ! ... | 0 |
Everyone who is not kind is either not strong or brave.
Everyone who is calm is both not brave and curious.
Everyone who is strong is not curious or quiet.
If someone is quiet then susan is both rich and creative and vice versa.
If lucy is either funny or happy then someone is not strong and vice versa.
Everyone who is... | John is happy. | entailment | (![X]:(~kind(X)=>(~strong(X)<~>brave(X))))&
(![X]:(calm(X)=>(~brave(X)&curious(X))))&
(![X]:(strong(X)=>(~curious(X)|quiet(X))))&
((?[X]:(quiet(X)))<=>((rich(susan)&creative(susan))))&
(((funny(lucy)<~>happy(lucy)))<=>(?[X]:(~strong(X))))&
(![X]:(~rich(X)=>(happy(X)&kind(X))))&
(((~patient(fred)<~>~calm(fred)))=>((~tal... | happy(john) | [
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7286847354601784642330462
% SZS output start Proof for 7286847354601784642330462
9. ! [X0] : (~strong(X0) => (tall(X0) <~> happy(X0))) [input p8]
13. ! [X0] : ((strong(X0) | tall(X0)) => ~strong(X0)) [input p12]
20. ~tall(john) & old(john) [input p19]
25. ~happy(john) [input hypothesis]
3... | 0 |
Everyone who is not strong or calm is not patient and vice versa.
Everyone who is either rich or not creative is curious and vice versa.
Everyone who is either old or curious is either happy or not strong.
Everyone who is both brave and strong is either happy or not strong and vice versa.
Everyone who is not strong or ... | John is creative. | neutral | (![X]:((~strong(X)|calm(X))<=>~patient(X)))&
(![X]:((rich(X)<~>~creative(X))<=>curious(X)))&
(![X]:((old(X)<~>curious(X))=>(happy(X)<~>~strong(X))))&
(![X]:((brave(X)&strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~strong(X)|tall(X))<=>(old(X)&generous(X))))&
(![X]:(generous(X)=>~kind(X)))&
(![X]:((old(X)<~>quiet(X))=... | creative(john) | [] | null | 0 |
If mary is either generous or not generous then someone is either curious or not brave and vice versa.
Everyone who is not tall is both rich and quiet.
Everyone who is happy is both old and creative and vice versa.
Everyone who is curious is strong or not quiet and vice versa.
Everyone who is strong is wise or funny.
E... | Alice is brave. | entailment | (((generous(mary)<~>~generous(mary)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~tall(X)=>(rich(X)&quiet(X))))&
(![X]:(happy(X)<=>(old(X)&creative(X))))&
(![X]:(curious(X)<=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)=>(wise(X)|funny(X))))&
(![X]:((kind(X)&~kind(X))=>(~old(X)<~>~happy(X))))&
(![X]:((happy(X)&quiet(X))... | brave(alice) | [
"p1",
"p3",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2688006932780004384176681
% SZS output start Proof for 2688006932780004384176681
2. ! [X0] : (~tall(X0) => (quiet(X0) & rich(X0))) [input p1]
4. ! [X0] : (curious(X0) <=> (~quiet(X0) | strong(X0))) [input p3]
12. (~humble(john) | quiet(john)) <=> (~quiet(alice) & kind(alice)) [input p11]
... | 0 |
If someone is both not funny and quiet then someone is either brave or curious.
Everyone who is creative or rich is both curious and old and vice versa.
If someone is not old or generous then someone is either not old or strong and vice versa.
If lucy is either curious or generous then someone is not tall.
If paul is q... | Mary is not funny. | contradiction | ((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((creative(X)|rich(X))<=>(curious(X)&old(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((pati... | ~funny(mary) | [
"p1",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4965624916070544543371438
% SZS output start Proof for 4965624916070544543371438
2. ! [X0] : ((rich(X0) | creative(X0)) <=> (old(X0) & curious(X0))) [input p1]
10. ! [X0] : (~funny(X0) <=> rich(X0)) [input p9]
12. ! [X0] : (curious(X0) => (~curious(X0) & rich(X0))) [input p11]
23. ~funny(... | 0 |
Everyone who is either not curious or brave is both not quiet and patient.
Everyone who is both patient and not humble is not creative.
Everyone who is either creative or calm is both old and not strong and vice versa.
If someone is brave then someone is both not old and curious.
Everyone who is both patient and funny ... | Mary is brave. | contradiction | (![X]:((~curious(X)<~>brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((patient(X)&~humble(X))=>~creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(old(X)&~strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((patient(X)&funny(X))<=>(quiet(X)&humble(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>wise(X)))&
((~gene... | brave(mary) | [
"p3",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1464620757498104326353302
% SZS output start Proof for 1464620757498104326353302
4. ? [X0] : brave(X0) => ? [X0] : (curious(X0) & ~old(X0)) [input p3]
8. ! [X0] : (~brave(X0) => (happy(X0) & ~curious(X0))) [input p7]
10. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) | strong(X0))) ... | 0 |
Everyone who is both not brave and rich is creative. If someone is not wise then susan is not creative. If someone is rich then someone is generous or not strong. Everyone who is rich is wise and vice versa. Everyone who is not creative or not humble is either wise or rich and vice versa. Everyone who is not funny or n... | Susan is not happy. | neutral | (![X]:((~brave(X)&rich(X))=>creative(X)))&
((?[X]:(~wise(X)))=>(~creative(susan)))&
((?[X]:(rich(X)))=>(?[X]:((generous(X)|~strong(X)))))&
(![X]:(rich(X)<=>wise(X)))&
(![X]:((~creative(X)|~humble(X))<=>(wise(X)<~>rich(X))))&
(![X]:((~funny(X)|~happy(X))=>(funny(X)<~>happy(X))))&
((?[X]:((strong(X)|~funny(X))))<=>((~fun... | ~happy(susan) | [] | null | 0 |
If paul is either generous or not patient then someone is strong or not strong.
Everyone who is not tall or rich is creative and vice versa.
Everyone who is either curious or not creative is both not curious and not old.
Everyone who is kind is both rich and not curious.
If alice is either not rich or not brave then ma... | Lucy is funny. | entailment | (((generous(paul)<~>~patient(paul)))=>(?[X]:((strong(X)|~strong(X)))))&
(![X]:((~tall(X)|rich(X))<=>creative(X)))&
(![X]:((curious(X)<~>~creative(X))=>(~curious(X)&~old(X))))&
(![X]:(kind(X)=>(rich(X)&~curious(X))))&
(((~rich(alice)<~>~brave(alice)))<=>((humble(mary)<~>quiet(mary))))&
(((~kind(paul)&generous(paul)))<=>... | funny(lucy) | [
"p1",
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8512444920525055801331734
% SZS output start Proof for 8512444920525055801331734
2. ! [X0] : ((rich(X0) | ~tall(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> ~creative(X0)) => (~old(X0) & ~curious(X0))) [input p2]
7. ! [X0] : (~creative(X0) <=> (~curious(X0) | rich(X0)))... | 0 |
Everyone who is both creative and happy is both brave and not happy and vice versa.
Everyone who is not tall or rich is not strong and vice versa.
If john is both not tall and not calm then paul is both not kind and not strong.
If someone is not creative then fred is not funny and vice versa.
Everyone who is both not c... | Fred is generous. | neutral | (![X]:((creative(X)&happy(X))<=>(brave(X)&~happy(X))))&
(![X]:((~tall(X)|rich(X))<=>~strong(X)))&
(((~tall(john)&~calm(john)))=>((~kind(paul)&~strong(paul))))&
((?[X]:(~creative(X)))<=>(~funny(fred)))&
(![X]:((~calm(X)&~happy(X))=>(~wise(X)<~>~tall(X))))&
(![X]:((wise(X)|~funny(X))<=>(~rich(X)&~funny(X))))&
(![X]:((~cu... | generous(fred) | [] | null | 0 |
Everyone who is either calm or strong is calm or funny and vice versa.
If someone is either not rich or not strong then alice is both not funny and not rich.
If someone is either patient or not tall then fred is strong or funny.
Everyone who is not wise is happy and vice versa.
Everyone who is both not old and tall is ... | Lucy is not strong. | contradiction | (![X]:((calm(X)<~>strong(X))<=>(calm(X)|funny(X))))&
((?[X]:((~rich(X)<~>~strong(X))))=>((~funny(alice)&~rich(alice))))&
((?[X]:((patient(X)<~>~tall(X))))=>((strong(fred)|funny(fred))))&
(![X]:(~wise(X)<=>happy(X)))&
(![X]:((~old(X)&tall(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~curious(X)&calm(X))<=>~strong(X)))&
(![X]:(o... | ~strong(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1727357545098420172130590
% SZS output start Proof for 1727357545098420172130590
1. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (funny(X0) | calm(X0))) [input p0]
2. ? [X0] : (~rich(X0) <~> ~strong(X0)) => (~rich(alice) & ~funny(alice)) [input p1]
5. ! [X0] : ((tall(X0) & ~old(X0)) <=> (calm(... | 0 |
If someone is not patient or funny then someone is both humble and curious.
If alice is not tall then someone is not brave or creative.
If susan is not calm then someone is both brave and happy.
If paul is wise then someone is either not kind or not funny and vice versa.
Everyone who is either not calm or funny is not ... | John is tall. | contradiction | ((?[X]:((~patient(X)|funny(X))))=>(?[X]:((humble(X)&curious(X)))))&
((~tall(alice))=>(?[X]:((~brave(X)|creative(X)))))&
((~calm(susan))=>(?[X]:((brave(X)&happy(X)))))&
((wise(paul))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~calm(X)<~>funny(X))<=>(~creative(X)|~curious(X))))&
(![X]:((~curious(X)|patient(X))=>(~creati... | tall(john) | [
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4305494174816655448409964
% SZS output start Proof for 4305494174816655448409964
5. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~curious(X0) | ~creative(X0))) [input p4]
13. ! [X0] : (~funny(X0) <=> (tall(X0) & creative(X0))) [input p12]
21. ~calm(john) & curious(john) [input p20]
24. tall(j... | 0 |
If someone is both not wise and quiet then susan is both not happy and not humble and vice versa.
Everyone who is happy is either quiet or not creative.
If someone is either not strong or not humble then someone is not brave.
Everyone who is not creative is humble or strong.
If someone is both not wise and humble then ... | Lucy is not funny. | contradiction | ((?[X]:((~wise(X)&quiet(X))))<=>((~happy(susan)&~humble(susan))))&
(![X]:(happy(X)=>(quiet(X)<~>~creative(X))))&
((?[X]:((~strong(X)<~>~humble(X))))=>(?[X]:(~brave(X))))&
(![X]:(~creative(X)=>(humble(X)|strong(X))))&
((?[X]:((~wise(X)&humble(X))))=>((funny(mary)&~happy(mary))))&
(![X]:((~rich(X)|~wise(X))=>(~old(X)&kin... | ~funny(lucy) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3855227593671313174780737
% SZS output start Proof for 3855227593671313174780737
3. ? [X0] : (~strong(X0) <~> ~humble(X0)) => ? [X0] : ~brave(X0) [input p2]
5. ? [X0] : (humble(X0) & ~wise(X0)) => (~happy(mary) & funny(mary)) [input p4]
8. (~happy(lucy) & ~creative(lucy)) <=> ? [X0] : (pa... | 0 |
Everyone who is not generous is not happy and vice versa. If fred is either humble or not curious then john is both kind and generous. If john is not tall or not happy then someone is strong or not curious. If someone is both brave and calm then mary is tall and vice versa. If someone is generous or curious then fred i... | Mary is wise. | contradiction | (![X]:(~generous(X)<=>~happy(X)))&
(((humble(fred)<~>~curious(fred)))=>((kind(john)&generous(john))))&
(((~tall(john)|~happy(john)))=>(?[X]:((strong(X)|~curious(X)))))&
((?[X]:((brave(X)&calm(X))))<=>(tall(mary)))&
((?[X]:((generous(X)|curious(X))))<=>(~calm(fred)))&
(![X]:((~old(X)&~happy(X))<=>(kind(X)<~>generous(X))... | wise(mary) | [
"p0",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 504147296083578271184321
% SZS output start Proof for 504147296083578271184321
1. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p0]
15. ~wise(mary) <=> ? [X0] : (happy(X0) | ~old(X0)) [input p14]
20. ? [X0] : generous(X0) [input p19]
24. wise(mary) [input hypothesis]
32. ! [X0] : ((~gene... | 0 |
Everyone who is brave is not kind or not tall. If alice is both not wise and not generous then fred is both happy and not funny and vice versa. Everyone who is either generous or tall is not tall and vice versa. Everyone who is both not quiet and not patient is either not funny or old and vice versa. Everyone who is bo... | Alice is not humble. | neutral | (![X]:(brave(X)=>(~kind(X)|~tall(X))))&
(((~wise(alice)&~generous(alice)))<=>((happy(fred)&~funny(fred))))&
(![X]:((generous(X)<~>tall(X))<=>~tall(X)))&
(![X]:((~quiet(X)&~patient(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)&curious(X))=>(~calm(X)|humble(X))))&
(![X]:((strong(X)&brave(X))=>(patient(X)&~tall(X))))&
((... | ~humble(alice) | [] | null | 0 |
Everyone who is either not curious or creative is not humble and vice versa.
If susan is both curious and not wise then someone is either not generous or not rich and vice versa.
Everyone who is both humble and calm is old or creative and vice versa.
If someone is both wise and generous then someone is both not kind an... | Paul is not old. | entailment | (![X]:((~curious(X)<~>creative(X))<=>~humble(X)))&
(((curious(susan)&~wise(susan)))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(![X]:((humble(X)&calm(X))<=>(old(X)|creative(X))))&
((?[X]:((wise(X)&generous(X))))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(strong(X)<=>(~happy(X)|patient(X))))&
(![X]:((calm(X)<~>~brave(X))<=>funny... | ~old(paul) | [
"p4",
"p6",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6919072617552636191611727
% SZS output start Proof for 6919072617552636191611727
5. ! [X0] : (strong(X0) <=> (patient(X0) | ~happy(X0))) [input p4]
7. ! [X0] : (brave(X0) => (funny(X0) <~> ~strong(X0))) [input p6]
9. ! [X0] : ((~funny(X0) | rich(X0)) <=> (brave(X0) & kind(X0))) [input p8]... | 0 |
If fred is either tall or rich then someone is old.
Everyone who is either not brave or curious is both brave and not patient.
If someone is either not funny or calm then john is funny or humble and vice versa.
Everyone who is kind or not brave is old or wise and vice versa.
Everyone who is not patient or not old is ge... | Fred is not wise. | entailment | (((tall(fred)<~>rich(fred)))=>(?[X]:(old(X))))&
(![X]:((~brave(X)<~>curious(X))=>(brave(X)&~patient(X))))&
((?[X]:((~funny(X)<~>calm(X))))<=>((funny(john)|humble(john))))&
(![X]:((kind(X)|~brave(X))<=>(old(X)|wise(X))))&
(![X]:((~patient(X)|~old(X))=>generous(X)))&
(![X]:((~strong(X)&~curious(X))<=>quiet(X)))&
((humble... | ~wise(fred) | [
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5898394062541562956825170
% SZS output start Proof for 5898394062541562956825170
14. ? [X0] : (quiet(X0) | funny(X0)) => ? [X0] : (~calm(X0) & ~generous(X0)) [input p13]
16. ? [X0] : (calm(X0) <~> ~generous(X0)) <=> (~wise(fred) & ~calm(fred)) [input p15]
18. ? [X0] : quiet(X0) [input p17... | 0 |
Everyone who is not kind is not calm.
Everyone who is either not generous or strong is tall or funny and vice versa.
If lucy is not rich or patient then someone is brave.
Everyone who is both tall and not creative is either kind or old and vice versa.
If lucy is rich then someone is either not funny or old.
Everyone wh... | Mary is not quiet. | neutral | (![X]:(~kind(X)=>~calm(X)))&
(![X]:((~generous(X)<~>strong(X))<=>(tall(X)|funny(X))))&
(((~rich(lucy)|patient(lucy)))=>(?[X]:(brave(X))))&
(![X]:((tall(X)&~creative(X))<=>(kind(X)<~>old(X))))&
((rich(lucy))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((wise(X)<~>~tall(X))=>(happy(X)<~>tall(X))))&
((?[X]:((funny(X)&~quiet(X)... | ~quiet(mary) | [] | null | 0 |
Everyone who is both tall and not curious is wise or brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble. If susan is generous then susan is happy and vi... | Alice is kind. | contradiction | (![X]:((tall(X)&~curious(X))<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((... | kind(alice) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3747821557359263039631995
% SZS output start Proof for 3747821557359263039631995
7. ! [X0] : ((wise(X0) | curious(X0)) => ~curious(X0)) [input p6]
12. ? [X0] : (kind(X0) | ~rich(X0)) <=> curious(lucy) [input p11]
25. kind(alice) [input hypothesis]
30. ! [X0] : (~curious(X0) | (~wise(X0) &... | 0 |
If john is both not wise and not kind then paul is either not curious or old. If someone is either funny or not strong then lucy is both humble and calm and vice versa. If john is both brave and not brave then alice is either not wise or not tall and vice versa. If someone is curious or not kind then john is not kind o... | Lucy is not humble. | neutral | (((~wise(john)&~kind(john)))=>((~curious(paul)<~>old(paul))))&
((?[X]:((funny(X)<~>~strong(X))))<=>((humble(lucy)&calm(lucy))))&
(((brave(john)&~brave(john)))<=>((~wise(alice)<~>~tall(alice))))&
((?[X]:((curious(X)|~kind(X))))=>((~kind(john)|~happy(john))))&
(![X]:((creative(X)&~wise(X))<=>(~brave(X)<~>~patient(X))))&
... | ~humble(lucy) | [] | null | 0 |
Everyone who is patient or wise is both happy and funny.
Everyone who is either not humble or not generous is not tall.
Everyone who is not brave or wise is both calm and not generous and vice versa.
Everyone who is both not tall and not funny is curious or not old and vice versa.
If john is either wise or not kind the... | Mary is not old. | contradiction | (![X]:((patient(X)|wise(X))=>(happy(X)&funny(X))))&
(![X]:((~humble(X)<~>~generous(X))=>~tall(X)))&
(![X]:((~brave(X)|wise(X))<=>(calm(X)&~generous(X))))&
(![X]:((~tall(X)&~funny(X))<=>(curious(X)|~old(X))))&
(((wise(john)<~>~kind(john)))=>((wise(susan)|patient(susan))))&
(![X]:((~creative(X)|happy(X))<=>(funny(X)<~>~c... | ~old(mary) | [
"p0",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5134423940736982531580694
% SZS output start Proof for 5134423940736982531580694
1. ! [X0] : ((wise(X0) | patient(X0)) => (funny(X0) & happy(X0))) [input p0]
4. ! [X0] : ((~funny(X0) & ~tall(X0)) <=> (~old(X0) | curious(X0))) [input p3]
10. ! [X0] : ((~calm(X0) | ~old(X0)) <=> (calm(X0) &... | 0 |
Everyone who is not strong is both happy and not happy.
If susan is both curious and patient then someone is either calm or not rich.
Everyone who is both not happy and curious is both not tall and rich.
Everyone who is brave or not patient is not funny and vice versa.
Everyone who is tall is both not generous and not ... | Susan is calm. | entailment | (![X]:(~strong(X)=>(happy(X)&~happy(X))))&
(((curious(susan)&patient(susan)))=>(?[X]:((calm(X)<~>~rich(X)))))&
(![X]:((~happy(X)&curious(X))=>(~tall(X)&rich(X))))&
(![X]:((brave(X)|~patient(X))<=>~funny(X)))&
(![X]:(tall(X)=>(~generous(X)&~quiet(X))))&
(![X]:(~creative(X)=>(kind(X)<~>creative(X))))&
(![X]:((~calm(X)<~>... | calm(susan) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4199868489930991712702977
% SZS output start Proof for 4199868489930991712702977
1. ! [X0] : (~strong(X0) => (~happy(X0) & happy(X0))) [input p0]
7. ! [X0] : ((~calm(X0) <~> ~tall(X0)) <=> (~strong(X0) <~> ~tall(X0))) [input p6]
23. ~calm(susan) [input hypothesis]
25. ! [X0] : ((~happy(X0... | 0 |
If someone is not calm then lucy is either patient or not humble.
Everyone who is either not funny or happy is patient and vice versa.
If alice is both not generous and not brave then someone is both not creative and brave.
Everyone who is both kind and curious is either not happy or not creative.
If someone is not ric... | Mary is funny. | entailment | ((?[X]:(~calm(X)))=>((patient(lucy)<~>~humble(lucy))))&
(![X]:((~funny(X)<~>happy(X))<=>patient(X)))&
(((~generous(alice)&~brave(alice)))=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((kind(X)&curious(X))=>(~happy(X)<~>~creative(X))))&
((?[X]:((~rich(X)|kind(X))))<=>((~patient(john)|~creative(john))))&
(![X]:((patient(X)|... | funny(mary) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3936716001394053623923943
% SZS output start Proof for 3936716001394053623923943
2. ! [X0] : ((~funny(X0) <~> happy(X0)) <=> patient(X0)) [input p1]
6. ! [X0] : ((happy(X0) | patient(X0)) => strong(X0)) [input p5]
14. ! [X0] : ((~wise(X0) | wise(X0)) <=> ~strong(X0)) [input p13]
23. ~funn... | 0 |
Everyone who is not creative or strong is not tall and vice versa.
Everyone who is either funny or not humble is brave or curious.
Everyone who is either generous or not creative is either calm or brave.
If someone is patient then paul is either tall or generous and vice versa.
Everyone who is both kind and not patient... | Mary is not rich. | entailment | (![X]:((~creative(X)|strong(X))<=>~tall(X)))&
(![X]:((funny(X)<~>~humble(X))=>(brave(X)|curious(X))))&
(![X]:((generous(X)<~>~creative(X))=>(calm(X)<~>brave(X))))&
((?[X]:(patient(X)))<=>((tall(paul)<~>generous(paul))))&
(![X]:((kind(X)&~patient(X))<=>~wise(X)))&
(((quiet(mary)<~>brave(mary)))=>(?[X]:((~happy(X)&calm(X... | ~rich(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4921029930845866564613956
% SZS output start Proof for 4921029930845866564613956
16. ! [X0] : ((kind(X0) | rich(X0)) => (calm(X0) & ~rich(X0))) [input p15]
25. rich(mary) [input hypothesis]
34. ! [X0] : ((calm(X0) & ~rich(X0)) | (~kind(X0) & ~rich(X0))) [ennf transformation 16]
132. ~rich... | 0 |
Everyone who is either brave or calm is either not calm or not humble.
Everyone who is either not quiet or funny is both not curious and curious.
Everyone who is not patient or not generous is quiet or kind.
If someone is not funny then fred is generous or not brave and vice versa.
Everyone who is either not tall or ki... | Mary is not humble. | neutral | (![X]:((brave(X)<~>calm(X))=>(~calm(X)<~>~humble(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~curious(X)&curious(X))))&
(![X]:((~patient(X)|~generous(X))=>(quiet(X)|kind(X))))&
((?[X]:(~funny(X)))<=>((generous(fred)|~brave(fred))))&
(![X]:((~tall(X)<~>kind(X))<=>~calm(X)))&
(![X]:((strong(X)<~>~creative(X))=>~strong(X)))&
(... | ~humble(mary) | [] | null | 0 |
If lucy is either generous or not old then susan is both rich and not happy and vice versa.
If mary is old then paul is both not humble and not brave.
If someone is humble then susan is not calm and vice versa.
If someone is either not funny or not generous then someone is not calm.
Everyone who is creative or not pati... | Mary is calm. | entailment | (((generous(lucy)<~>~old(lucy)))<=>((rich(susan)&~happy(susan))))&
((old(mary))=>((~humble(paul)&~brave(paul))))&
((?[X]:(humble(X)))<=>(~calm(susan)))&
((?[X]:((~funny(X)<~>~generous(X))))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)|~patient(X))<=>(generous(X)&~funny(X))))&
((?[X]:((rich(X)|~tall(X))))<=>((~calm(paul)|~t... | calm(mary) | [
"p8",
"p9",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3233042299900398561443820
% SZS output start Proof for 3233042299900398561443820
9. ? [X0] : (humble(X0) | ~brave(X0)) <=> (~kind(mary) & strong(mary)) [input p8]
10. ! [X0] : (calm(X0) <=> (strong(X0) <~> ~patient(X0))) [input p9]
17. brave(mary) & patient(mary) [input p16]
20. ? [X0] : ... | 0 |
Everyone who is both not happy and not brave is both not brave and happy and vice versa.
If susan is both not funny and wise then someone is happy and vice versa.
Everyone who is both quiet and not kind is either rich or generous and vice versa.
Everyone who is quiet or kind is either not humble or not brave.
Everyone ... | Lucy is not brave. | contradiction | (![X]:((~happy(X)&~brave(X))<=>(~brave(X)&happy(X))))&
(((~funny(susan)&wise(susan)))<=>(?[X]:(happy(X))))&
(![X]:((quiet(X)&~kind(X))<=>(rich(X)<~>generous(X))))&
(![X]:((quiet(X)|kind(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((rich(X)|quiet(X))<=>(~calm(X)<~>kind(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((~curious(p... | ~brave(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7862863782606283959449120
% SZS output start Proof for 7862863782606283959449120
1. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (happy(X0) & ~brave(X0))) [input p0]
24. ~brave(lucy) [input hypothesis]
29. ! [X0] : (((~brave(X0) & ~happy(X0)) | (~happy(X0) | brave(X0))) & ((happy(X0) & ~brave(... | 0 |
Everyone who is brave or not wise is either creative or not old and vice versa. Everyone who is either not wise or not funny is both kind and creative. Everyone who is either funny or not wise is strong or humble and vice versa. Everyone who is quiet or funny is both humble and brave and vice versa. Everyone who is not... | Alice is not funny. | entailment | (![X]:((brave(X)|~wise(X))<=>(creative(X)<~>~old(X))))&
(![X]:((~wise(X)<~>~funny(X))=>(kind(X)&creative(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)|humble(X))))&
(![X]:((quiet(X)|funny(X))<=>(humble(X)&brave(X))))&
(![X]:(~patient(X)<=>(rich(X)|~tall(X))))&
((?[X]:((funny(X)&generous(X))))=>((strong(lucy)&~brave(... | ~funny(alice) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5944101887509827851912050
% SZS output start Proof for 5944101887509827851912050
1. ! [X0] : ((~wise(X0) | brave(X0)) <=> (creative(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : ((funny(X0) <~> ~wise(X0)) <=> (humble(X0) | strong(X0))) [input p2]
4. ! [X0] : ((funny(X0) | quiet(X0)) <=> (brav... | 0 |
Everyone who is not strong or not kind is not humble. Everyone who is not tall is both not happy and not calm. Everyone who is both not generous and happy is brave or not old and vice versa. If mary is either happy or not generous then someone is either wise or patient. Everyone who is both not strong and strong is not... | Lucy is curious. | contradiction | (![X]:((~strong(X)|~kind(X))=>~humble(X)))&
(![X]:(~tall(X)=>(~happy(X)&~calm(X))))&
(![X]:((~generous(X)&happy(X))<=>(brave(X)|~old(X))))&
(((happy(mary)<~>~generous(mary)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((~strong(X)&strong(X))=>(~curious(X)|brave(X))))&
((?[X]:((rich(X)<~>brave(X))))=>(~calm(paul)))&
((?[X... | curious(lucy) | [
"p0",
"p1",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1345691972786467573596381
% SZS output start Proof for 1345691972786467573596381
1. ! [X0] : ((~kind(X0) | ~strong(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : (~tall(X0) => (~calm(X0) & ~happy(X0))) [input p1]
6. ? [X0] : (rich(X0) <~> brave(X0)) => ~calm(paul) [input p5]
7. ? [X0] : (~ri... | 0 |
If fred is not strong or not rich then alice is both generous and happy and vice versa. Everyone who is not brave or funny is both not patient and wise and vice versa. Everyone who is either quiet or not creative is quiet and vice versa. If someone is curious then mary is old. If someone is either quiet or rich then fr... | Alice is not funny. | neutral | (((~strong(fred)|~rich(fred)))<=>((generous(alice)&happy(alice))))&
(![X]:((~brave(X)|funny(X))<=>(~patient(X)&wise(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>quiet(X)))&
((?[X]:(curious(X)))=>(old(mary)))&
((?[X]:((quiet(X)<~>rich(X))))=>((~quiet(fred)|~rich(fred))))&
(((~strong(susan)&~humble(susan)))<=>((~humble(mary... | ~funny(alice) | [] | null | 0 |
Everyone who is not generous is either strong or not generous and vice versa.
Everyone who is both not rich and not generous is either not old or rich and vice versa.
If someone is not generous then lucy is old or not kind.
Everyone who is tall is either not quiet or not curious.
If lucy is either tall or not humble th... | John is not kind. | neutral | (![X]:(~generous(X)<=>(strong(X)<~>~generous(X))))&
(![X]:((~rich(X)&~generous(X))<=>(~old(X)<~>rich(X))))&
((?[X]:(~generous(X)))=>((old(lucy)|~kind(lucy))))&
(![X]:(tall(X)=>(~quiet(X)<~>~curious(X))))&
(((tall(lucy)<~>~humble(lucy)))<=>(?[X]:((~brave(X)&~wise(X)))))&
(![X]:((~old(X)<~>generous(X))=>(kind(X)<~>strong... | ~kind(john) | [] | null | 0 |
If fred is either strong or patient then mary is rich or not strong and vice versa.
If someone is both not funny and rich then someone is quiet.
Everyone who is strong or old is quiet and vice versa.
Everyone who is either generous or not patient is both not patient and not generous.
If someone is both not happy and ri... | Lucy is patient. | contradiction | (((strong(fred)<~>patient(fred)))<=>((rich(mary)|~strong(mary))))&
((?[X]:((~funny(X)&rich(X))))=>(?[X]:(quiet(X))))&
(![X]:((strong(X)|old(X))<=>quiet(X)))&
(![X]:((generous(X)<~>~patient(X))=>(~patient(X)&~generous(X))))&
((?[X]:((~happy(X)&rich(X))))<=>((~old(paul)<~>~curious(paul))))&
(![X]:((kind(X)&humble(X))=>(~... | patient(lucy) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 215661865611260169277049
% SZS output start Proof for 215661865611260169277049
4. ! [X0] : ((generous(X0) <~> ~patient(X0)) => (~generous(X0) & ~patient(X0))) [input p3]
20. generous(lucy) [input p19]
25. patient(lucy) [input hypothesis]
30. ! [X0] : ((~generous(X0) & ~patient(X0)) | (gen... | 0 |
Everyone who is either not calm or not brave is either kind or old. Everyone who is either not rich or not humble is not strong or not calm and vice versa. If fred is strong then lucy is both humble and not rich and vice versa. Everyone who is both old and not old is not humble. If someone is kind then someone is both ... | John is not strong. | contradiction | (![X]:((~calm(X)<~>~brave(X))=>(kind(X)<~>old(X))))&
(![X]:((~rich(X)<~>~humble(X))<=>(~strong(X)|~calm(X))))&
((strong(fred))<=>((humble(lucy)&~rich(lucy))))&
(![X]:((old(X)&~old(X))=>~humble(X)))&
((?[X]:(kind(X)))<=>(?[X]:((~funny(X)&humble(X)))))&
((?[X]:((~quiet(X)|creative(X))))<=>(?[X]:((~quiet(X)|~creative(X)))... | ~strong(john) | [
"p8",
"p9",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8649352461212086946217939
% SZS output start Proof for 8649352461212086946217939
9. (~funny(fred) & ~humble(fred)) <=> ? [X0] : ~wise(X0) [input p8]
10. ! [X0] : ((~curious(X0) & funny(X0)) <=> (~strong(X0) | happy(X0))) [input p9]
18. happy(fred) & creative(fred) [input p17]
22. ~wise(jo... | 0 |
If someone is curious then someone is both not creative and patient and vice versa. If lucy is either tall or creative then someone is not creative. Everyone who is either not curious or not strong is curious or happy and vice versa. If someone is both tall and not curious then lucy is both rich and curious and vice ve... | Susan is not curious. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~creative(X)&patient(X)))))&
(((tall(lucy)<~>creative(lucy)))=>(?[X]:(~creative(X))))&
(![X]:((~curious(X)<~>~strong(X))<=>(curious(X)|happy(X))))&
((?[X]:((tall(X)&~curious(X))))<=>((rich(lucy)&curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(~quiet(X)&generous(X))))&
(![X]:((~strong(X)|r... | ~curious(susan) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.