premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is both not happy and not rich then someone is tall or not funny. Everyone who is not old is not curious. If alice is either calm or quiet then susan is not funny or not strong. Everyone who is both not rich and quiet is both not funny and old and vice versa. Everyone who is quiet is either happy or not quiet a... | Susan is kind. | entailment | (((~happy(fred)&~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy))))... | kind(susan) | [
"p3",
"p4",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 887673730117562029382501
% SZS output start Proof for 887673730117562029382501
4. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (old(X0) & ~funny(X0))) [input p3]
5. ! [X0] : (quiet(X0) <=> (happy(X0) <~> ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | brave(X0)) <=> (happy(X0) <~> ~tall(X0))) ... | 0 |
Everyone who is either quiet or kind is not quiet and vice versa.
Everyone who is kind or not generous is either funny or patient and vice versa.
Everyone who is not humble or not curious is not generous or brave and vice versa.
If lucy is brave then alice is both not curious and funny and vice versa.
Everyone who is n... | Mary is not funny. | entailment | (![X]:((quiet(X)<~>kind(X))<=>~quiet(X)))&
(![X]:((kind(X)|~generous(X))<=>(funny(X)<~>patient(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~generous(X)|brave(X))))&
((brave(lucy))<=>((~curious(alice)&funny(alice))))&
(![X]:(~funny(X)<=>(~calm(X)&tall(X))))&
(![X]:(~rich(X)=>(~quiet(X)<~>~wise(X))))&
(![X]:((happy(X)&~kin... | ~funny(mary) | [
"p0",
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1758374770192839631369509
% SZS output start Proof for 1758374770192839631369509
1. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> ~quiet(X0)) [input p0]
2. ! [X0] : ((~generous(X0) | kind(X0)) <=> (funny(X0) <~> patient(X0))) [input p1]
11. ! [X0] : ((curious(X0) & ~patient(X0)) <=> ~curious(X0)... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Lucy is strong. | entailment | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | strong(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7204372623005634125553248
% SZS output start Proof for 7204372623005634125553248
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~wise(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => ... | 0 |
If someone is both not quiet and not tall then someone is either not happy or not wise and vice versa.
If someone is happy then someone is wise or not happy.
Everyone who is calm is not tall and vice versa.
Everyone who is happy or brave is not curious or quiet.
Everyone who is quiet is not happy or humble.
If fred is ... | Susan is rich. | contradiction | ((?[X]:((~quiet(X)&~tall(X))))<=>(?[X]:((~happy(X)<~>~wise(X)))))&
((?[X]:(happy(X)))=>(?[X]:((wise(X)|~happy(X)))))&
(![X]:(calm(X)<=>~tall(X)))&
(![X]:((happy(X)|brave(X))=>(~curious(X)|quiet(X))))&
(![X]:(quiet(X)=>(~happy(X)|humble(X))))&
((~old(fred))<=>((kind(alice)|~humble(alice))))&
(![X]:((~generous(X)&~humble... | rich(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4455320454177593343796099
% SZS output start Proof for 4455320454177593343796099
24. ~rich(susan) [input p23]
25. rich(susan) [input hypothesis]
141. ~rich(susan) [cnf transformation 24]
142. rich(susan) [cnf transformation 25]
316. $false [subsumption resolution 142,141]
% SZS output end... | 0 |
Everyone who is strong is creative or not brave.
Everyone who is both rich and not curious is strong.
Everyone who is either quiet or patient is both not generous and not curious and vice versa.
Everyone who is not curious or not strong is funny.
Everyone who is wise or brave is both not wise and not humble and vice ve... | Alice is tall. | entailment | (![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((rich(X)&~curious(X))=>strong(X)))&
(![X]:((quiet(X)<~>patient(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~curious(X)|~strong(X))=>funny(X)))&
(![X]:((wise(X)|brave(X))<=>(~wise(X)&~humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~tall(X)|humble(... | tall(alice) | [
"p2",
"p3",
"p5",
"p6",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3083315131799889254867893
% SZS output start Proof for 3083315131799889254867893
3. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (~curious(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~curious(X0)) => funny(X0)) [input p3]
6. ! [X0] : (~generous(X0) <=> (quiet(X0) | ~strong(X... | 0 |
Everyone who is not old is not curious and vice versa.
Everyone who is rich or patient is not happy or quiet.
Everyone who is not quiet is quiet or not humble and vice versa.
Everyone who is either not tall or creative is either generous or quiet and vice versa.
If paul is both not generous and not wise then someone is... | Fred is not creative. | entailment | (![X]:(~old(X)<=>~curious(X)))&
(![X]:((rich(X)|patient(X))=>(~happy(X)|quiet(X))))&
(![X]:(~quiet(X)<=>(quiet(X)|~humble(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(generous(X)<~>quiet(X))))&
(((~generous(paul)&~wise(paul)))<=>(?[X]:((curious(X)&creative(X)))))&
(![X]:((~creative(X)|calm(X))<=>(~calm(X)|humble(X))))&
(!... | ~creative(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 824120872368066632154658
% SZS output start Proof for 824120872368066632154658
3. ! [X0] : (~quiet(X0) <=> (~humble(X0) | quiet(X0))) [input p2]
6. ! [X0] : ((calm(X0) | ~creative(X0)) <=> (humble(X0) | ~calm(X0))) [input p5]
24. creative(fred) [input hypothesis]
37. ! [X0] : ((~quiet(X0)... | 0 |
If alice is either not quiet or patient then someone is both not wise and not happy and vice versa. Everyone who is either quiet or brave is either rich or tall and vice versa. If someone is either generous or not calm then someone is curious or brave. If someone is calm or not old then mary is quiet. Everyone who is n... | Alice is patient. | neutral | (((~quiet(alice)<~>patient(alice)))<=>(?[X]:((~wise(X)&~happy(X)))))&
(![X]:((quiet(X)<~>brave(X))<=>(rich(X)<~>tall(X))))&
((?[X]:((generous(X)<~>~calm(X))))=>(?[X]:((curious(X)|brave(X)))))&
((?[X]:((calm(X)|~old(X))))=>(quiet(mary)))&
(![X]:((~calm(X)|kind(X))<=>generous(X)))&
(![X]:((~quiet(X)<~>~old(X))=>(~generou... | patient(alice) | [] | null | 0 |
Everyone who is both curious and strong is not strong or not creative and vice versa.
Everyone who is not happy or not funny is both funny and strong and vice versa.
If someone is either old or not funny then john is rich or not quiet.
If alice is both kind and not funny then someone is patient and vice versa.
Everyone... | Paul is curious. | entailment | (![X]:((curious(X)&strong(X))<=>(~strong(X)|~creative(X))))&
(![X]:((~happy(X)|~funny(X))<=>(funny(X)&strong(X))))&
((?[X]:((old(X)<~>~funny(X))))=>((rich(john)|~quiet(john))))&
(((kind(alice)&~funny(alice)))<=>(?[X]:(patient(X))))&
(![X]:((humble(X)&rich(X))=>(kind(X)|~tall(X))))&
((?[X]:((~funny(X)|~creative(X))))<=>... | curious(paul) | [
"p0",
"p1",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6566885735515021396300354
% SZS output start Proof for 6566885735515021396300354
1. ! [X0] : ((strong(X0) & curious(X0)) <=> (~creative(X0) | ~strong(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (strong(X0) & funny(X0))) [input p1]
4. (~funny(alice) & kind(alice)) <=> ? [X0... | 0 |
If someone is strong then fred is brave or calm and vice versa.
Everyone who is not curious is not old.
Everyone who is tall or not generous is not humble.
Everyone who is both not creative and not rich is calm or not rich and vice versa.
Everyone who is either not tall or tall is either not rich or not curious and vic... | John is not creative. | entailment | ((?[X]:(strong(X)))<=>((brave(fred)|calm(fred))))&
(![X]:(~curious(X)=>~old(X)))&
(![X]:((tall(X)|~generous(X))=>~humble(X)))&
(![X]:((~creative(X)&~rich(X))<=>(calm(X)|~rich(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~rich(X)<~>~curious(X))))&
(((~old(susan)|quiet(susan)))=>((humble(fred)|~curious(fred))))&
((?[X]:((~gener... | ~creative(john) | [
"p3",
"p4",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3588035760835334764164025
% SZS output start Proof for 3588035760835334764164025
4. ! [X0] : ((~rich(X0) & ~creative(X0)) <=> (~rich(X0) | calm(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> tall(X0)) <=> (~rich(X0) <~> ~curious(X0))) [input p4]
9. ! [X0] : ((kind(X0) | brave(X0)) <=> (old(... | 0 |
If someone is curious then paul is either rich or not old.
If lucy is not happy or creative then someone is humble and vice versa.
Everyone who is both happy and not rich is both generous and not generous and vice versa.
Everyone who is not rich or not creative is both generous and patient and vice versa.
Everyone who ... | Fred is not brave. | contradiction | ((?[X]:(curious(X)))=>((rich(paul)<~>~old(paul))))&
(((~happy(lucy)|creative(lucy)))<=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~rich(X))<=>(generous(X)&~generous(X))))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(... | ~brave(fred) | [
"p3",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1318862779120339668221212
% SZS output start Proof for 1318862779120339668221212
4. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (patient(X0) & generous(X0))) [input p3]
5. ! [X0] : ((~happy(X0) <~> ~brave(X0)) => (old(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (funny(X0) <=> rich(X0)) [inp... | 0 |
Everyone who is wise or calm is quiet.
If mary is tall then susan is either strong or not kind.
Everyone who is either creative or quiet is both not rich and happy.
If alice is curious or quiet then someone is both strong and not tall and vice versa.
If someone is not curious or rich then alice is both not rich and hum... | Susan is humble. | neutral | (![X]:((wise(X)|calm(X))=>quiet(X)))&
((tall(mary))=>((strong(susan)<~>~kind(susan))))&
(![X]:((creative(X)<~>quiet(X))=>(~rich(X)&happy(X))))&
(((curious(alice)|quiet(alice)))<=>(?[X]:((strong(X)&~tall(X)))))&
((?[X]:((~curious(X)|rich(X))))=>((~rich(alice)&humble(alice))))&
((?[X]:((~creative(X)&~rich(X))))<=>(calm(f... | humble(susan) | [] | null | 0 |
If fred is humble then susan is either not calm or not patient and vice versa. Everyone who is not old is calm. Everyone who is both old and rich is happy. If someone is rich or not wise then susan is not creative. Everyone who is curious or generous is either patient or happy and vice versa. Everyone who is either not... | John is generous. | entailment | ((humble(fred))<=>((~calm(susan)<~>~patient(susan))))&
(![X]:(~old(X)=>calm(X)))&
(![X]:((old(X)&rich(X))=>happy(X)))&
((?[X]:((rich(X)|~wise(X))))=>(~creative(susan)))&
(![X]:((curious(X)|generous(X))<=>(patient(X)<~>happy(X))))&
(![X]:((~happy(X)<~>~kind(X))=>~quiet(X)))&
(![X]:((~generous(X)<~>~wise(X))<=>(curious(X... | generous(john) | [
"p7",
"p9",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6655719545497846499237454
% SZS output start Proof for 6655719545497846499237454
8. ! [X0] : ((~kind(X0) | ~quiet(X0)) => (~creative(X0) & ~brave(X0))) [input p7]
10. ? [X0] : (~quiet(X0) & patient(X0)) <=> ? [X0] : (humble(X0) <~> ~generous(X0)) [input p9]
11. ! [X0] : ((tall(X0) & ~happ... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | John is wise. | contradiction | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | wise(john) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7509714960623053928557007
% SZS output start Proof for 7509714960623053928557007
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X0) | strong(X0))) [input p3]
5. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p4]
7... | 0 |
Everyone who is both tall and not creative is strong and vice versa.
Everyone who is both quiet and wise is both not calm and calm and vice versa.
If someone is not creative or quiet then fred is both not creative and not kind and vice versa.
Everyone who is both not wise and brave is brave or quiet.
Everyone who is wi... | Fred is brave. | entailment | (![X]:((tall(X)&~creative(X))<=>strong(X)))&
(![X]:((quiet(X)&wise(X))<=>(~calm(X)&calm(X))))&
((?[X]:((~creative(X)|quiet(X))))<=>((~creative(fred)&~kind(fred))))&
(![X]:((~wise(X)&brave(X))=>(brave(X)|quiet(X))))&
(![X]:(wise(X)<=>(funny(X)<~>~old(X))))&
(((~kind(fred)&quiet(fred)))<=>((rich(paul)<~>generous(paul))))... | brave(fred) | [
"p0",
"p2",
"p11",
"p14",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8048311449051922900767519
% SZS output start Proof for 8048311449051922900767519
1. ! [X0] : ((~creative(X0) & tall(X0)) <=> strong(X0)) [input p0]
3. ? [X0] : (quiet(X0) | ~creative(X0)) <=> (~kind(fred) & ~creative(fred)) [input p2]
12. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (~kind(X0... | 0 |
Everyone who is not happy or curious is both quiet and not creative.
If fred is either not kind or not rich then alice is either not tall or patient.
Everyone who is both not tall and calm is brave or not rich and vice versa.
If paul is tall then alice is both curious and wise and vice versa.
Everyone who is tall or hu... | Alice is creative. | neutral | (![X]:((~happy(X)|curious(X))=>(quiet(X)&~creative(X))))&
(((~kind(fred)<~>~rich(fred)))=>((~tall(alice)<~>patient(alice))))&
(![X]:((~tall(X)&calm(X))<=>(brave(X)|~rich(X))))&
((tall(paul))<=>((curious(alice)&wise(alice))))&
(![X]:((tall(X)|humble(X))<=>(kind(X)|creative(X))))&
(![X]:(old(X)<=>(rich(X)<~>funny(X))))&
... | creative(alice) | [] | null | 0 |
Everyone who is not curious or generous is strong or quiet and vice versa.
If someone is both not old and kind then john is wise.
Everyone who is not rich is rich or not brave and vice versa.
Everyone who is either not tall or not kind is both not tall and not humble and vice versa.
Everyone who is either curious or no... | Alice is humble. | contradiction | (![X]:((~curious(X)|generous(X))<=>(strong(X)|quiet(X))))&
((?[X]:((~old(X)&kind(X))))=>(wise(john)))&
(![X]:(~rich(X)<=>(rich(X)|~brave(X))))&
(![X]:((~tall(X)<~>~kind(X))<=>(~tall(X)&~humble(X))))&
(![X]:((curious(X)<~>~kind(X))<=>(brave(X)&~strong(X))))&
(((old(alice)&generous(alice)))<=>(?[X]:(generous(X))))&
(![X]... | humble(alice) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8574149310139035754923849
% SZS output start Proof for 8574149310139035754923849
3. ! [X0] : (~rich(X0) <=> (~brave(X0) | rich(X0))) [input p2]
12. (brave(susan) & strong(susan)) <=> humble(alice) [input p11]
25. humble(alice) [input hypothesis]
36. ! [X0] : ((~rich(X0) | (brave(X0) & ~ri... | 0 |
Everyone who is either not curious or quiet is either not old or not tall.
If lucy is either not tall or strong then someone is either not strong or not creative and vice versa.
Everyone who is not calm is old or kind and vice versa.
Everyone who is both quiet and happy is curious or creative.
If someone is not happy t... | John is funny. | neutral | (![X]:((~curious(X)<~>quiet(X))=>(~old(X)<~>~tall(X))))&
(((~tall(lucy)<~>strong(lucy)))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:(~calm(X)<=>(old(X)|kind(X))))&
(![X]:((quiet(X)&happy(X))=>(curious(X)|creative(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((patient(X)|~humble(X)))))&
((strong(mary))<=>((calm(susan)&~genero... | funny(john) | [] | null | 0 |
Everyone who is quiet is either brave or not creative and vice versa.
Everyone who is both calm and not humble is not wise or not calm.
Everyone who is not tall is both not creative and not curious and vice versa.
Everyone who is not curious is not funny or tall.
Everyone who is both patient and not humble is not stron... | Lucy is not patient. | entailment | (![X]:(quiet(X)<=>(brave(X)<~>~creative(X))))&
(![X]:((calm(X)&~humble(X))=>(~wise(X)|~calm(X))))&
(![X]:(~tall(X)<=>(~creative(X)&~curious(X))))&
(![X]:(~curious(X)=>(~funny(X)|tall(X))))&
(![X]:((patient(X)&~humble(X))<=>~strong(X)))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:(generous(X)=>(wise(X)|~funny(X))))&
(((~str... | ~patient(lucy) | [
"p5",
"p9",
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5480315898407912999903467
% SZS output start Proof for 5480315898407912999903467
6. ! [X0] : (creative(X0) <=> ~wise(X0)) [input p5]
10. ! [X0] : ((~happy(X0) <~> generous(X0)) <=> (~patient(X0) | old(X0))) [input p9]
14. ! [X0] : ((kind(X0) | wise(X0)) => (generous(X0) <~> ~wise(X0))) [i... | 0 |
Everyone who is either not calm or not brave is both not tall and creative.
Everyone who is strong is funny.
Everyone who is both quiet and not humble is old and vice versa.
Everyone who is not brave is either not rich or wise.
If someone is happy or funny then someone is not happy and vice versa.
If john is not wise o... | Paul is funny. | entailment | (![X]:((~calm(X)<~>~brave(X))=>(~tall(X)&creative(X))))&
(![X]:(strong(X)=>funny(X)))&
(![X]:((quiet(X)&~humble(X))<=>old(X)))&
(![X]:(~brave(X)=>(~rich(X)<~>wise(X))))&
((?[X]:((happy(X)|funny(X))))<=>(?[X]:(~happy(X))))&
(((~wise(john)|~happy(john)))=>(tall(susan)))&
(![X]:((~wise(X)&rich(X))=>~calm(X)))&
(![X]:((~fu... | funny(paul) | [
"p1",
"p2",
"p6",
"p7",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8442191326080090100878585
% SZS output start Proof for 8442191326080090100878585
2. ! [X0] : (strong(X0) => funny(X0)) [input p1]
3. ! [X0] : ((~humble(X0) & quiet(X0)) <=> old(X0)) [input p2]
7. ! [X0] : ((rich(X0) & ~wise(X0)) => ~calm(X0)) [input p6]
8. ! [X0] : ((~funny(X0) <~> funny(... | 0 |
Everyone who is both not patient and not creative is not tall or not humble.
Everyone who is not funny or old is happy or not funny and vice versa.
Everyone who is not patient is brave or strong and vice versa.
Everyone who is either rich or wise is either not brave or not generous.
If john is not humble then john is n... | Susan is not funny. | neutral | (![X]:((~patient(X)&~creative(X))=>(~tall(X)|~humble(X))))&
(![X]:((~funny(X)|old(X))<=>(happy(X)|~funny(X))))&
(![X]:(~patient(X)<=>(brave(X)|strong(X))))&
(![X]:((rich(X)<~>wise(X))=>(~brave(X)<~>~generous(X))))&
((~humble(john))<=>(~calm(john)))&
(![X]:((~kind(X)|~quiet(X))=>(wise(X)|~tall(X))))&
((?[X]:((~tall(X)|~... | ~funny(susan) | [] | null | 0 |
If alice is strong then someone is both wise and quiet. If john is creative then someone is both wise and quiet and vice versa. If someone is both happy and old then someone is wise and vice versa. Everyone who is generous is either old or not calm and vice versa. Everyone who is not old is both quiet and strong. If so... | Alice is not happy. | contradiction | ((strong(alice))=>(?[X]:((wise(X)&quiet(X)))))&
((creative(john))<=>(?[X]:((wise(X)&quiet(X)))))&
((?[X]:((happy(X)&old(X))))<=>(?[X]:(wise(X))))&
(![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X)... | ~happy(alice) | [
"p4",
"p8",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 473904149968672462453873
% SZS output start Proof for 473904149968672462453873
5. ! [X0] : (~old(X0) => (strong(X0) & quiet(X0))) [input p4]
9. ! [X0] : ((creative(X0) | rich(X0)) => happy(X0)) [input p8]
11. ! [X0] : ((rich(X0) | brave(X0)) => ~quiet(X0)) [input p10]
14. ! [X0] : ((curio... | 0 |
If alice is either not humble or not funny then someone is calm and vice versa.
Everyone who is not old is either not calm or not brave and vice versa.
If someone is not patient or rich then someone is both not creative and funny.
If fred is either not rich or generous then someone is kind and vice versa.
Everyone who ... | Susan is not brave. | neutral | (((~humble(alice)<~>~funny(alice)))<=>(?[X]:(calm(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~brave(X))))&
((?[X]:((~patient(X)|rich(X))))=>(?[X]:((~creative(X)&funny(X)))))&
(((~rich(fred)<~>generous(fred)))<=>(?[X]:(kind(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(rich(X)<~>~quiet(X))))&
(![X]:(~happy(X)<=>(~rich(X)&humble(X)... | ~brave(susan) | [] | null | 0 |
Everyone who is either old or not patient is both kind and calm.
Everyone who is both not wise and not humble is both not generous and quiet.
Everyone who is old or not kind is not strong.
If someone is both brave and kind then someone is both not funny and not creative.
Everyone who is not funny or calm is tall.
If so... | Mary is not patient. | contradiction | (![X]:((old(X)<~>~patient(X))=>(kind(X)&calm(X))))&
(![X]:((~wise(X)&~humble(X))=>(~generous(X)&quiet(X))))&
(![X]:((old(X)|~kind(X))=>~strong(X)))&
((?[X]:((brave(X)&kind(X))))=>(?[X]:((~funny(X)&~creative(X)))))&
(![X]:((~funny(X)|calm(X))=>tall(X)))&
((?[X]:((rich(X)|~patient(X))))=>((~humble(lucy)&humble(lucy))))&
... | ~patient(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5765402918023495053577053
% SZS output start Proof for 5765402918023495053577053
6. ? [X0] : (~patient(X0) | rich(X0)) => (humble(lucy) & ~humble(lucy)) [input p5]
19. ~patient(mary) [input hypothesis]
21. ? [X0] : ~patient(X0) => (humble(lucy) & ~humble(lucy)) [pure predicate removal 6]
... | 0 |
Everyone who is happy or funny is both patient and not happy.
Everyone who is old or not quiet is not wise.
Everyone who is kind or not wise is both kind and not wise.
Everyone who is not strong or not rich is both not brave and not humble.
Everyone who is either not happy or generous is either humble or generous and v... | Fred is strong. | entailment | (![X]:((happy(X)|funny(X))=>(patient(X)&~happy(X))))&
(![X]:((old(X)|~quiet(X))=>~wise(X)))&
(![X]:((kind(X)|~wise(X))=>(kind(X)&~wise(X))))&
(![X]:((~strong(X)|~rich(X))=>(~brave(X)&~humble(X))))&
(![X]:((~happy(X)<~>generous(X))<=>(humble(X)<~>generous(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>~happy(X)))&
(((patient(p... | strong(fred) | [
"p0",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 258074080555594653727639
% SZS output start Proof for 258074080555594653727639
1. ! [X0] : ((funny(X0) | happy(X0)) => (~happy(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~rich(X0) | ~strong(X0)) => (~humble(X0) & ~brave(X0))) [input p3]
5. ! [X0] : ((~happy(X0) <~> generous(X0)) <=> (hu... | 0 |
Everyone who is either not calm or not kind is both not kind and not strong and vice versa.
Everyone who is rich is wise.
Everyone who is brave is both funny and humble and vice versa.
Everyone who is either not humble or brave is not happy or curious.
If fred is both rich and not calm then someone is either generous o... | Lucy is not creative. | entailment | (![X]:((~calm(X)<~>~kind(X))<=>(~kind(X)&~strong(X))))&
(![X]:(rich(X)=>wise(X)))&
(![X]:(brave(X)<=>(funny(X)&humble(X))))&
(![X]:((~humble(X)<~>brave(X))=>(~happy(X)|curious(X))))&
(((rich(fred)&~calm(fred)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(kind(X)<~>~rich(X))))&
(((~brave(... | ~creative(lucy) | [
"p1",
"p2",
"p6",
"p10",
"p11",
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3769351114584494410358103
% SZS output start Proof for 3769351114584494410358103
2. ! [X0] : (rich(X0) => wise(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> (humble(X0) & funny(X0))) [input p2]
7. (~brave(lucy) <~> ~strong(lucy)) <=> ? [X0] : (humble(X0) & wise(X0)) [input p6]
11. (creative(... | 0 |
Everyone who is old or funny is both not generous and not quiet and vice versa.
If lucy is rich then paul is either tall or generous and vice versa.
Everyone who is not brave is patient or wise and vice versa.
If someone is generous then someone is both not humble and not patient and vice versa.
Everyone who is generou... | Alice is not generous. | neutral | (![X]:((old(X)|funny(X))<=>(~generous(X)&~quiet(X))))&
((rich(lucy))<=>((tall(paul)<~>generous(paul))))&
(![X]:(~brave(X)<=>(patient(X)|wise(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((generous(X)|~rich(X))=>(~creative(X)<~>funny(X))))&
(![X]:((rich(X)<~>~humble(X))=>(strong(X)|brave(X)))... | ~generous(alice) | [] | null | 0 |
If someone is both not wise and calm then someone is not strong or not old and vice versa.
If someone is either not rich or not quiet then alice is not rich and vice versa.
Everyone who is either not rich or calm is not rich and vice versa.
Everyone who is not tall or not creative is both not quiet and not happy.
If so... | Lucy is not calm. | entailment | ((?[X]:((~wise(X)&calm(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
((?[X]:((~rich(X)<~>~quiet(X))))<=>(~rich(alice)))&
(![X]:((~rich(X)<~>calm(X))<=>~rich(X)))&
(![X]:((~tall(X)|~creative(X))=>(~quiet(X)&~happy(X))))&
((?[X]:((generous(X)<~>~wise(X))))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:(~quiet(X)<=>(strong(X)<~>cal... | ~calm(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3312986443368066128903117
% SZS output start Proof for 3312986443368066128903117
3. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> ~rich(X0)) [input p2]
25. calm(lucy) [input hypothesis]
48. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | rich(X0)) & (~rich(X0) | ((~rich(X0) | ~cal... | 0 |
If someone is not calm or brave then lucy is not funny.
Everyone who is either not strong or tall is either not happy or not quiet.
Everyone who is rich or generous is not patient and vice versa.
Everyone who is either not patient or not tall is not kind and vice versa.
Everyone who is rich is both not patient and not ... | Alice is calm. | entailment | ((?[X]:((~calm(X)|brave(X))))=>(~funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:((rich(X)|generous(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~tall(X))<=>~kind(X)))&
(![X]:(rich(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((rich(X)|~patient(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
((?[X]:((hap... | calm(alice) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p10",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3998683778714328672626002
% SZS output start Proof for 3998683778714328672626002
1. ? [X0] : (brave(X0) | ~calm(X0)) => ~funny(lucy) [input p0]
2. ! [X0] : ((~strong(X0) <~> tall(X0)) => (~happy(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((generous(X0) | rich(X0)) <=> ~patient(X0)) [inpu... | 0 |
Everyone who is humble is old or funny and vice versa.
If someone is both not strong and not curious then susan is not happy.
Everyone who is either brave or not wise is humble.
Everyone who is both brave and funny is old and vice versa.
Everyone who is calm or curious is creative and vice versa.
Everyone who is rich o... | Mary is not humble. | neutral | (![X]:(humble(X)<=>(old(X)|funny(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(~happy(susan)))&
(![X]:((brave(X)<~>~wise(X))=>humble(X)))&
(![X]:((brave(X)&funny(X))<=>old(X)))&
(![X]:((calm(X)|curious(X))<=>creative(X)))&
(![X]:((rich(X)|~patient(X))=>~wise(X)))&
((?[X]:((~rich(X)|~old(X))))<=>(?[X]:((~calm(X)|~curious(... | ~humble(mary) | [] | null | 0 |
If someone is patient then someone is either not funny or old.
Everyone who is happy or tall is either not curious or creative.
Everyone who is both tall and creative is not humble.
Everyone who is old or not wise is either not funny or patient.
If someone is creative or not curious then someone is both old and wise an... | Fred is not kind. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((old(X)&wise(X)))))&
((rich(paul))=>((~wise(john)&old(john))))&
(... | ~kind(fred) | [
"p2",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 817327924991448446570134
% SZS output start Proof for 817327924991448446570134
3. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p2]
5. ? [X0] : (~curious(X0) | creative(X0)) <=> ? [X0] : (wise(X0) & old(X0)) [input p4]
9. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [inp... | 0 |
If john is either not funny or quiet then fred is happy.
If someone is brave or not wise then susan is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is ... | Paul is patient. | contradiction | (((~funny(john)<~>quiet(john)))=>(happy(fred)))&
((?[X]:((brave(X)|~wise(X))))<=>((tall(susan)&~rich(susan))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curio... | patient(paul) | [
"p5",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1020328436458346900164450
% SZS output start Proof for 1020328436458346900164450
6. ! [X0] : ((creative(X0) | curious(X0)) => tall(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9.... | 0 |
Everyone who is both not wise and strong is both patient and calm and vice versa.
Everyone who is not patient is either not tall or generous and vice versa.
Everyone who is not generous or not tall is either kind or not happy.
If someone is either not old or not generous then susan is quiet.
If mary is tall or not happ... | Fred is old. | entailment | (![X]:((~wise(X)&strong(X))<=>(patient(X)&calm(X))))&
(![X]:(~patient(X)<=>(~tall(X)<~>generous(X))))&
(![X]:((~generous(X)|~tall(X))=>(kind(X)<~>~happy(X))))&
((?[X]:((~old(X)<~>~generous(X))))=>(quiet(susan)))&
(((tall(mary)|~happy(mary)))<=>(?[X]:((strong(X)|~strong(X)))))&
((happy(alice))<=>((rich(alice)&~strong(al... | old(fred) | [
"p1",
"p2",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2423159367273069555345348
% SZS output start Proof for 2423159367273069555345348
2. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> generous(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | ~generous(X0)) => (kind(X0) <~> ~happy(X0))) [input p2]
10. ! [X0] : ((~old(X0) | generous(X0)) => (~quiet(X0) ... | 0 |
Everyone who is either not wise or not strong is both not kind and funny and vice versa. If paul is curious or rich then someone is either not brave or not funny and vice versa. If alice is either brave or patient then alice is strong and vice versa. Everyone who is calm or not brave is both not humble and generous. If... | Susan is not generous. | contradiction | (![X]:((~wise(X)<~>~strong(X))<=>(~kind(X)&funny(X))))&
(((curious(paul)|rich(paul)))<=>(?[X]:((~brave(X)<~>~funny(X)))))&
(((brave(alice)<~>patient(alice)))<=>(strong(alice)))&
(![X]:((calm(X)|~brave(X))=>(~humble(X)&generous(X))))&
((?[X]:(~brave(X)))=>((~quiet(alice)&~strong(alice))))&
((?[X]:((~rich(X)&brave(X))))<... | ~generous(susan) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2609077594879880351259079
% SZS output start Proof for 2609077594879880351259079
4. ! [X0] : ((~brave(X0) | calm(X0)) => (generous(X0) & ~humble(X0))) [input p3]
20. calm(susan) [input p19]
23. ~generous(susan) [input hypothesis]
26. ! [X0] : ((~brave(X0) | calm(X0)) => generous(X0)) [pur... | 0 |
Everyone who is either not patient or not funny is either not generous or not creative.
If alice is both not rich and strong then someone is either not calm or brave.
Everyone who is not wise or not old is not rich.
If john is both not curious and not old then someone is brave and vice versa.
If someone is not funny or... | Lucy is not strong. | entailment | (![X]:((~patient(X)<~>~funny(X))=>(~generous(X)<~>~creative(X))))&
(((~rich(alice)&strong(alice)))=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~wise(X)|~old(X))=>~rich(X)))&
(((~curious(john)&~old(john)))<=>(?[X]:(brave(X))))&
((?[X]:((~funny(X)|calm(X))))=>(?[X]:((happy(X)<~>wise(X)))))&
(![X]:((curious(X)&~humble(X))=>... | ~strong(lucy) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1562849775364043852808494
% SZS output start Proof for 1562849775364043852808494
3. ! [X0] : ((~old(X0) | ~wise(X0)) => ~rich(X0)) [input p2]
9. ! [X0] : (patient(X0) <=> (~wise(X0) & rich(X0))) [input p8]
10. ? [X0] : strong(X0) <=> ? [X0] : (patient(X0) & humble(X0)) [input p9]
24. stro... | 0 |
If someone is both tall and kind then someone is both generous and funny. Everyone who is creative or not calm is not kind or not curious and vice versa. Everyone who is rich or not strong is not brave or not kind and vice versa. Everyone who is not kind or patient is both not brave and not tall. Everyone who is creati... | Mary is not wise. | entailment | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((generous(X)&funny(X)))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~k... | ~wise(mary) | [
"p3",
"p9",
"p10",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1991396571306672396170757
% SZS output start Proof for 1991396571306672396170757
4. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) [input p3]
10. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~wise(X0) & generous(X0))) [input p9]
11. ! [X0] : ((~generous(X0) | ~curious(X0)) => ... | 0 |
If someone is not creative or brave then someone is both wise and happy.
Everyone who is either brave or not strong is either not old or quiet and vice versa.
Everyone who is patient is tall or not quiet and vice versa.
Everyone who is both rich and not creative is either wise or creative and vice versa.
Everyone who i... | Fred is old. | entailment | ((?[X]:((~creative(X)|brave(X))))=>(?[X]:((wise(X)&happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(~old(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(tall(X)|~quiet(X))))&
(![X]:((rich(X)&~creative(X))<=>(wise(X)<~>creative(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((old(X)|strong(X))))<=>(?[X]:((... | old(fred) | [
"p2",
"p4",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1374831299624024092469324
% SZS output start Proof for 1374831299624024092469324
3. ! [X0] : (patient(X0) <=> (~quiet(X0) | tall(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> (calm(X0) <~> funny(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(... | 0 |
Everyone who is both quiet and not kind is not tall and vice versa.
Everyone who is either rich or not funny is not quiet and vice versa.
Everyone who is both brave and not rich is either happy or not tall and vice versa.
Everyone who is both not funny and calm is rich or creative.
Everyone who is not patient is both h... | Alice is not tall. | neutral | (![X]:((quiet(X)&~kind(X))<=>~tall(X)))&
(![X]:((rich(X)<~>~funny(X))<=>~quiet(X)))&
(![X]:((brave(X)&~rich(X))<=>(happy(X)<~>~tall(X))))&
(![X]:((~funny(X)&calm(X))=>(rich(X)|creative(X))))&
(![X]:(~patient(X)<=>(humble(X)&~funny(X))))&
(![X]:((~brave(X)&~quiet(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~happy(X)<~>ca... | ~tall(alice) | [] | null | 0 |
If paul is either happy or rich then someone is kind or wise. If susan is not kind then someone is either brave or not old and vice versa. If paul is curious then susan is both generous and not creative and vice versa. If someone is both not humble and not rich then susan is not curious. If someone is either strong or ... | Mary is quiet. | contradiction | (((happy(paul)<~>rich(paul)))=>(?[X]:((kind(X)|wise(X)))))&
((~kind(susan))<=>(?[X]:((brave(X)<~>~old(X)))))&
((curious(paul))<=>((generous(susan)&~creative(susan))))&
((?[X]:((~humble(X)&~rich(X))))=>(~curious(susan)))&
((?[X]:((strong(X)<~>happy(X))))<=>(?[X]:((generous(X)&curious(X)))))&
(((rich(mary)&~quiet(mary)))... | quiet(mary) | [
"p5",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2160509260978384197993714
% SZS output start Proof for 2160509260978384197993714
6. (~quiet(mary) & rich(mary)) <=> ? [X0] : (~creative(X0) & ~funny(X0)) [input p5]
12. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & wise(X0)) [input p11]
13. ! [X0] : ((funny(X0) & ~creative(X0)) <=> strong(... | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Fred is humble. | entailment | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | humble(fred) | [
"p1",
"p3",
"p5",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3951306107463031728811062
% SZS output start Proof for 3951306107463031728811062
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
4. ! [X0] : (humble(X0) <=> (wise(X0) | ~rich(X0))) [input p3]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9.... | 0 |
Everyone who is either not calm or generous is both funny and quiet and vice versa. If paul is either not rich or tall then lucy is either kind or not old and vice versa. Everyone who is either patient or not humble is calm. If fred is either kind or not brave then someone is not old and vice versa. Everyone who is not... | Fred is calm. | entailment | (![X]:((~calm(X)<~>generous(X))<=>(funny(X)&quiet(X))))&
(((~rich(paul)<~>tall(paul)))<=>((kind(lucy)<~>~old(lucy))))&
(![X]:((patient(X)<~>~humble(X))=>calm(X)))&
(((kind(fred)<~>~brave(fred)))<=>(?[X]:(~old(X))))&
(![X]:((~creative(X)|patient(X))<=>(tall(X)&generous(X))))&
((?[X]:((calm(X)&patient(X))))=>(?[X]:(patie... | calm(fred) | [
"p2",
"p3",
"p4",
"p8",
"p9",
"p11",
"p13",
"p17",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5408666427965023342100744
% SZS output start Proof for 5408666427965023342100744
3. ! [X0] : ((patient(X0) <~> ~humble(X0)) => calm(X0)) [input p2]
4. (kind(fred) <~> ~brave(fred)) <=> ? [X0] : ~old(X0) [input p3]
5. ! [X0] : ((patient(X0) | ~creative(X0)) <=> (generous(X0) & tall(X0))) [... | 0 |
If someone is not rich or not kind then someone is old.
Everyone who is not strong or not creative is happy or not happy.
Everyone who is creative is not wise or kind.
If susan is kind or not curious then someone is both not quiet and old.
If alice is generous or not brave then someone is tall and vice versa.
If fred i... | Alice is not curious. | entailment | ((?[X]:((~rich(X)|~kind(X))))=>(?[X]:(old(X))))&
(![X]:((~strong(X)|~creative(X))=>(happy(X)|~happy(X))))&
(![X]:(creative(X)=>(~wise(X)|kind(X))))&
(((kind(susan)|~curious(susan)))=>(?[X]:((~quiet(X)&old(X)))))&
(((generous(alice)|~brave(alice)))<=>(?[X]:(tall(X))))&
((~funny(fred))<=>((tall(alice)|rich(alice))))&
((?... | ~curious(alice) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1658439786396139821447331
% SZS output start Proof for 1658439786396139821447331
8. ! [X0] : ((~humble(X0) <~> curious(X0)) <=> (generous(X0) <~> ~curious(X0))) [input p7]
14. ! [X0] : ((~humble(X0) <~> generous(X0)) <=> (funny(X0) & ~curious(X0))) [input p13]
25. curious(alice) [input hy... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not quiet or not happy is either not happy or not calm.
If john is old then mary is calm or brave.
If someone is brave or calm then someone is both not calm and not quiet.
Everyone who is generous is either not curious or not calm.
Ever... | John is generous. | entailment | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~happy(X)<~>~calm(X))))&
((old(john))=>((calm(mary)|brave(mary))))&
((?[X]:((brave(X)|calm(X))))=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(generous(X)=>(~curious(X)<~>~calm(X))))&
(![X]:(~old(X)=>creative(X)))&
(![X]:((~curious(X)&~calm(X))<=>(... | generous(john) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 179597170919615063159923
% SZS output start Proof for 179597170919615063159923
10. ! [X0] : (generous(X0) <=> (~happy(X0) | rich(X0))) [input p9]
14. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (~generous(X0) <~> ~wise(X0))) [input p13]
22. ~generous(john) [input hypothesis]
49. ! [X0] : ((gen... | 0 |
If susan is either not old or not kind then lucy is both not curious and tall and vice versa.
If someone is both happy and kind then alice is both calm and wise.
Everyone who is both not curious and wise is rich and vice versa.
If lucy is either kind or wise then someone is creative and vice versa.
If alice is both hum... | Alice is humble. | contradiction | (((~old(susan)<~>~kind(susan)))<=>((~curious(lucy)&tall(lucy))))&
((?[X]:((happy(X)&kind(X))))=>((calm(alice)&wise(alice))))&
(![X]:((~curious(X)&wise(X))<=>rich(X)))&
(((kind(lucy)<~>wise(lucy)))<=>(?[X]:(creative(X))))&
(((humble(alice)&~wise(alice)))=>((~old(john)<~>quiet(john))))&
((?[X]:(wise(X)))<=>(~funny(paul))... | humble(alice) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4802698919589786153945064
% SZS output start Proof for 4802698919589786153945064
13. (generous(lucy) | calm(lucy)) <=> ~humble(alice) [input p12]
14. ! [X0] : ((tall(X0) | ~calm(X0)) <=> calm(X0)) [input p13]
22. humble(alice) [input hypothesis]
56. ((generous(lucy) | calm(lucy)) | humble... | 0 |
Everyone who is not wise is not rich or humble.
Everyone who is not generous is both not tall and not quiet and vice versa.
Everyone who is not patient or not creative is not curious and vice versa.
Everyone who is humble or not brave is kind and vice versa.
If someone is strong then someone is both wise and not wise.
... | Alice is tall. | neutral | (![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(![X]:(~generous(X)<=>(~tall(X)&~quiet(X))))&
(![X]:((~patient(X)|~creative(X))<=>~curious(X)))&
(![X]:((humble(X)|~brave(X))<=>kind(X)))&
((?[X]:(strong(X)))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~creative(X)&funny(X))<=>strong(X)))&
((calm(fred))=>((~generous(lucy)<~>generous... | tall(alice) | [] | null | 0 |
If susan is both not strong and not rich then fred is both not strong and wise and vice versa.
If alice is either calm or brave then someone is tall and vice versa.
Everyone who is both old and not rich is tall or strong and vice versa.
Everyone who is either brave or strong is old and vice versa.
Everyone who is eithe... | Fred is generous. | entailment | (((~strong(susan)&~rich(susan)))<=>((~strong(fred)&wise(fred))))&
(((calm(alice)<~>brave(alice)))<=>(?[X]:(tall(X))))&
(![X]:((old(X)&~rich(X))<=>(tall(X)|strong(X))))&
(![X]:((brave(X)<~>strong(X))<=>old(X)))&
(![X]:((~curious(X)<~>~quiet(X))=>(~quiet(X)&generous(X))))&
((?[X]:((rich(X)&funny(X))))<=>(?[X]:((creative(... | generous(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3357039056353912260434076
% SZS output start Proof for 3357039056353912260434076
14. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (tall(X0) & generous(X0))) [input p13]
25. ~generous(fred) [input hypothesis]
71. ! [X0] : (((strong(X0) | ~generous(X0)) | (~tall(X0) | ~generous(X0))) & ((tall... | 0 |
If lucy is curious or not old then mary is curious or not old.
If paul is not patient then paul is either not wise or not rich.
Everyone who is both patient and not kind is either not calm or happy and vice versa.
Everyone who is both creative and not creative is kind and vice versa.
If mary is not wise then someone is... | Susan is wise. | neutral | (((curious(lucy)|~old(lucy)))=>((curious(mary)|~old(mary))))&
((~patient(paul))=>((~wise(paul)<~>~rich(paul))))&
(![X]:((patient(X)&~kind(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((creative(X)&~creative(X))<=>kind(X)))&
((~wise(mary))<=>(?[X]:(wise(X))))&
((generous(susan))<=>((old(alice)<~>curious(alice))))&
((?[X]:((calm... | wise(susan) | [] | null | 0 |
Everyone who is either generous or curious is either not funny or rich and vice versa. Everyone who is brave or not brave is not funny or humble. Everyone who is either curious or kind is either not kind or not patient and vice versa. Everyone who is both not old and not kind is not strong and vice versa. Everyone who ... | John is not tall. | contradiction | (![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)&~kind(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(~old(X)&calm(X))))&
(![X]:((~curious(X)|~humble(X))=>rich(X)))&
(![X]:((~quiet(X)&wi... | ~tall(john) | [
"p4",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1983095839788766778141464
% SZS output start Proof for 1983095839788766778141464
5. ! [X0] : (~tall(X0) <=> (calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> curious(X0)) [input p6]
10. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> tall(X0)) [input p9]
13. ! [X0] : ((... | 0 |
Everyone who is both tall and not brave is both not humble and not funny.
If someone is both calm and not calm then john is either not old or kind.
Everyone who is both not quiet and wise is both not wise and not patient and vice versa.
Everyone who is either strong or not patient is either not patient or not old and v... | Susan is curious. | neutral | (![X]:((tall(X)&~brave(X))=>(~humble(X)&~funny(X))))&
((?[X]:((calm(X)&~calm(X))))=>((~old(john)<~>kind(john))))&
(![X]:((~quiet(X)&wise(X))<=>(~wise(X)&~patient(X))))&
(![X]:((strong(X)<~>~patient(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:((strong(X)|~generous(X))))<=>(?[X]:((calm(X)&rich(X)))))&
((?[X]:(~strong(X)))<=>... | curious(susan) | [] | null | 0 |
If someone is kind then alice is curious and vice versa.
Everyone who is quiet is brave and vice versa.
If paul is not happy or not kind then mary is not old or not quiet.
If susan is both strong and not happy then someone is not calm and vice versa.
If fred is either curious or not calm then john is tall or not calm.
... | Susan is not wise. | entailment | ((?[X]:(kind(X)))<=>(curious(alice)))&
(![X]:(quiet(X)<=>brave(X)))&
(((~happy(paul)|~kind(paul)))=>((~old(mary)|~quiet(mary))))&
(((strong(susan)&~happy(susan)))<=>(?[X]:(~calm(X))))&
(((curious(fred)<~>~calm(fred)))=>((tall(john)|~calm(john))))&
((?[X]:((rich(X)<~>humble(X))))=>(?[X]:((kind(X)|~happy(X)))))&
(((stron... | ~wise(susan) | [
"p3",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4038816467350865679230858
% SZS output start Proof for 4038816467350865679230858
4. (~happy(susan) & strong(susan)) <=> ? [X0] : ~calm(X0) [input p3]
13. ! [X0] : ((happy(X0) <~> wise(X0)) <=> (creative(X0) & ~creative(X0))) [input p12]
20. ~calm(paul) [input p19]
25. wise(susan) [input h... | 0 |
Everyone who is either strong or not calm is not curious or not funny and vice versa.
If fred is either patient or not humble then someone is not happy or humble and vice versa.
Everyone who is both not happy and kind is both not curious and not wise and vice versa.
Everyone who is not strong or not kind is calm.
Every... | Fred is old. | entailment | (![X]:((strong(X)<~>~calm(X))<=>(~curious(X)|~funny(X))))&
(((patient(fred)<~>~humble(fred)))<=>(?[X]:((~happy(X)|humble(X)))))&
(![X]:((~happy(X)&kind(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~strong(X)|~kind(X))=>calm(X)))&
(![X]:((strong(X)|calm(X))<=>(humble(X)<~>tall(X))))&
(![X]:((wise(X)<~>strong(X))=>(creative(X... | old(fred) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7869010065396060165146853
% SZS output start Proof for 7869010065396060165146853
3. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (~wise(X0) & ~curious(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~strong(X0)) => calm(X0)) [input p3]
5. ! [X0] : ((calm(X0) | strong(X0)) <=> (humble(X0) <~> tall(X0)... | 0 |
If someone is humble then someone is strong. If fred is both rich and not old then someone is both not old and not wise and vice versa. Everyone who is both not curious and not wise is not happy. Everyone who is either not curious or wise is not old or patient. If someone is not quiet or generous then alice is either w... | Alice is not humble. | entailment | ((?[X]:(humble(X)))=>(?[X]:(strong(X))))&
(((rich(fred)&~old(fred)))<=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(![X]:((~curious(X)<~>wise(X))=>(~old(X)|patient(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>((wise(alice)<~>~calm(alice))))&
(![X]:((~quiet(X)|strong(X))<=>(calm(X)&~calm(X)))... | ~humble(alice) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1639513998270920332754738
% SZS output start Proof for 1639513998270920332754738
1. ? [X0] : humble(X0) => ? [X0] : strong(X0) [input p0]
6. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (~calm(X0) & calm(X0))) [input p5]
25. humble(alice) [input hypothesis]
26. ? [X0] : humble(X0) => ? [X1] : ... | 0 |
If someone is both generous and not rich then susan is strong.
If susan is not brave then lucy is both not patient and patient.
Everyone who is either humble or rich is either humble or not creative and vice versa.
If mary is old then someone is not quiet.
If someone is either quiet or generous then john is happy.
If s... | Mary is creative. | contradiction | ((?[X]:((generous(X)&~rich(X))))=>(strong(susan)))&
((~brave(susan))=>((~patient(lucy)&patient(lucy))))&
(![X]:((humble(X)<~>rich(X))<=>(humble(X)<~>~creative(X))))&
((old(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>(?[X]:((funny(X)|kind(X)))))&
((calm(paul)... | creative(mary) | [
"p1",
"p6",
"p7",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 503557791423632101286714
% SZS output start Proof for 503557791423632101286714
2. ~brave(susan) => (patient(lucy) & ~patient(lucy)) [input p1]
7. calm(paul) <=> ~brave(susan) [input p6]
8. ! [X0] : ((~brave(X0) & calm(X0)) <=> (creative(X0) & ~kind(X0))) [input p7]
11. curious(mary) <=> ~... | 0 |
Everyone who is both not curious and not rich is both generous and quiet. Everyone who is generous is either not calm or not creative and vice versa. Everyone who is both not patient and not strong is both not tall and rich. If john is both not calm and not creative then john is either not tall or not patient. If alice... | Lucy is not quiet. | neutral | (![X]:((~curious(X)&~rich(X))=>(generous(X)&quiet(X))))&
(![X]:(generous(X)<=>(~calm(X)<~>~creative(X))))&
(![X]:((~patient(X)&~strong(X))=>(~tall(X)&rich(X))))&
(((~calm(john)&~creative(john)))=>((~tall(john)<~>~patient(john))))&
((humble(alice))=>((~tall(john)<~>creative(john))))&
((?[X]:(~humble(X)))<=>(?[X]:((curio... | ~quiet(lucy) | [] | null | 0 |
If someone is old then mary is either not kind or not curious.
Everyone who is tall is calm and vice versa.
Everyone who is both not tall and strong is quiet or not curious and vice versa.
If john is curious or not wise then someone is either patient or rich and vice versa.
Everyone who is both not old and not calm is ... | Susan is not strong. | contradiction | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:((~tall(X)&strong(X))<=>(quiet(X)|~curious(X))))&
(((curious(john)|~wise(john)))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~old(X)&~calm(X))=>~quiet(X)))&
(((happy(susan)&humble(susan)))=>(?[X]:((calm(X)|funny(X)))))&
(((old(mary)&... | ~strong(susan) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 363930370455611046476451
% SZS output start Proof for 363930370455611046476451
3. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~curious(X0) | quiet(X0))) [input p2]
17. quiet(susan) & ~creative(susan) [input p16]
24. ~strong(susan) [input hypothesis]
40. ! [X0] : (((strong(X0) & ~tall(X0)) | (... | 0 |
Everyone who is not humble or not tall is patient and vice versa.
If mary is not rich or happy then someone is not funny.
Everyone who is either happy or patient is not funny and vice versa.
If someone is not patient or not generous then someone is rich or not happy and vice versa.
Everyone who is not kind is either pa... | Mary is old. | neutral | (![X]:((~humble(X)|~tall(X))<=>patient(X)))&
(((~rich(mary)|happy(mary)))=>(?[X]:(~funny(X))))&
(![X]:((happy(X)<~>patient(X))<=>~funny(X)))&
((?[X]:((~patient(X)|~generous(X))))<=>(?[X]:((rich(X)|~happy(X)))))&
(![X]:(~kind(X)=>(patient(X)<~>generous(X))))&
(![X]:((~brave(X)&strong(X))=>(generous(X)<~>~old(X))))&
(![X... | old(mary) | [] | null | 0 |
Everyone who is both rich and not happy is either creative or not happy and vice versa. If someone is funny then someone is not happy or calm. If alice is both kind and brave then someone is patient or not generous. Everyone who is both not old and wise is not tall. Everyone who is either patient or not tall is both wi... | Alice is rich. | contradiction | (![X]:((rich(X)&~happy(X))<=>(creative(X)<~>~happy(X))))&
((?[X]:(funny(X)))=>(?[X]:((~happy(X)|calm(X)))))&
(((kind(alice)&brave(alice)))=>(?[X]:((patient(X)|~generous(X)))))&
(![X]:((~old(X)&wise(X))=>~tall(X)))&
(![X]:((patient(X)<~>~tall(X))<=>(wise(X)&~strong(X))))&
(![X]:((~strong(X)<~>rich(X))=>(~strong(X)&~kind... | rich(alice) | [
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 44349932417218648118370
% SZS output start Proof for 44349932417218648118370
6. ! [X0] : ((~strong(X0) <~> rich(X0)) => (~kind(X0) & ~strong(X0))) [input p5]
15. ! [X0] : (patient(X0) <=> (~humble(X0) & humble(X0))) [input p14]
16. ! [X0] : (~strong(X0) => (~patient(X0) <~> ~strong(X0))) ... | 0 |
If someone is not strong then someone is curious and vice versa.
Everyone who is not rich or brave is both calm and kind and vice versa.
Everyone who is not funny or not quiet is either not quiet or brave and vice versa.
If someone is both not rich and kind then fred is both tall and not calm and vice versa.
Everyone w... | John is not tall. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(curious(X))))&
(![X]:((~rich(X)|brave(X))<=>(calm(X)&kind(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~quiet(X)<~>brave(X))))&
((?[X]:((~rich(X)&kind(X))))<=>((tall(fred)&~calm(fred))))&
(![X]:(~quiet(X)=>rich(X)))&
((?[X]:((~strong(X)|~quiet(X))))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:((~cal... | ~tall(john) | [] | null | 0 |
Everyone who is both not brave and old is either not quiet or not creative and vice versa. Everyone who is creative or not generous is both not curious and not creative and vice versa. If lucy is either kind or tall then lucy is either quiet or old. Everyone who is either not strong or happy is not funny or not rich an... | Fred is happy. | entailment | (![X]:((~brave(X)&old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((creative(X)|~generous(X))<=>(~curious(X)&~creative(X))))&
(((kind(lucy)<~>tall(lucy)))=>((quiet(lucy)<~>old(lucy))))&
(![X]:((~strong(X)<~>happy(X))<=>(~funny(X)|~rich(X))))&
(![X]:((generous(X)|~creative(X))<=>~wise(X)))&
((?[X]:((~calm(X)|wise(X))))<=>... | happy(fred) | [
"p1",
"p3",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7781510816091602254881245
% SZS output start Proof for 7781510816091602254881245
2. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~creative(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (~rich(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | gener... | 0 |
Everyone who is not tall or not strong is either quiet or generous and vice versa.
Everyone who is both wise and not calm is not generous.
Everyone who is curious is both not brave and quiet and vice versa.
If someone is creative or not rich then lucy is patient or brave.
If paul is not tall then susan is funny or curi... | Paul is kind. | contradiction | (![X]:((~tall(X)|~strong(X))<=>(quiet(X)<~>generous(X))))&
(![X]:((wise(X)&~calm(X))=>~generous(X)))&
(![X]:(curious(X)<=>(~brave(X)&quiet(X))))&
((?[X]:((creative(X)|~rich(X))))=>((patient(lucy)|brave(lucy))))&
((~tall(paul))=>((funny(susan)|curious(susan))))&
(![X]:((~humble(X)&quiet(X))<=>(~calm(X)&generous(X))))&
(... | kind(paul) | [
"p0",
"p5",
"p6",
"p9",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5709401684073627080188948
% SZS output start Proof for 5709401684073627080188948
1. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (quiet(X0) <~> generous(X0))) [input p0]
6. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (generous(X0) & ~calm(X0))) [input p5]
7. ! [X0] : (~strong(X0) <=> (~generous(X0... | 0 |
If someone is not old then alice is either not humble or not quiet and vice versa.
If someone is both curious and not quiet then someone is both not wise and not generous.
If john is strong then someone is not tall or kind.
Everyone who is both not patient and not wise is both not humble and not patient.
Everyone who i... | Alice is not quiet. | entailment | ((?[X]:(~old(X)))<=>((~humble(alice)<~>~quiet(alice))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:((~wise(X)&~generous(X)))))&
((strong(john))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:((~patient(X)&~wise(X))=>(~humble(X)&~patient(X))))&
(![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X... | ~quiet(alice) | [
"p0",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4838312352890115832463928
% SZS output start Proof for 4838312352890115832463928
1. ? [X0] : ~old(X0) <=> (~humble(alice) <~> ~quiet(alice)) [input p0]
11. ! [X0] : (~old(X0) => ~brave(X0)) [input p10]
12. ! [X0] : ((~brave(X0) | humble(X0)) => (happy(X0) & ~happy(X0))) [input p11]
23. qu... | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | John is curious. | entailment | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | curious(john) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6534474493922430683628120
% SZS output start Proof for 6534474493922430683628120
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [input p5]
15. ! [X0] : ((quiet(X0) | ~curious(X0)) => (~old(X0) & ~creative(X0))) [input p14]
23. ~curious(john) [input hypothesis]
26. ! ... | 0 |
If someone is not old then mary is both funny and generous and vice versa. Everyone who is creative is both not patient and not brave. If someone is not curious or not wise then someone is either not quiet or patient and vice versa. Everyone who is not quiet is either not brave or not funny. If someone is both generous... | Susan is not rich. | neutral | ((?[X]:(~old(X)))<=>((funny(mary)&generous(mary))))&
(![X]:(creative(X)=>(~patient(X)&~brave(X))))&
((?[X]:((~curious(X)|~wise(X))))<=>(?[X]:((~quiet(X)<~>patient(X)))))&
(![X]:(~quiet(X)=>(~brave(X)<~>~funny(X))))&
((?[X]:((generous(X)&~wise(X))))=>((~rich(susan)<~>~curious(susan))))&
(![X]:(happy(X)<=>(generous(X)<~>... | ~rich(susan) | [] | null | 0 |
Everyone who is either patient or brave is either funny or tall and vice versa.
Everyone who is both patient and strong is both not brave and rich.
If lucy is quiet then someone is not strong and vice versa.
Everyone who is funny or kind is not patient or not quiet and vice versa.
If someone is either humble or rich th... | Alice is not tall. | neutral | (![X]:((patient(X)<~>brave(X))<=>(funny(X)<~>tall(X))))&
(![X]:((patient(X)&strong(X))=>(~brave(X)&rich(X))))&
((quiet(lucy))<=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|kind(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:((humble(X)<~>rich(X))))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:(~calm(X)<=>~tall(X)))&
((?[X]:((patient(X)... | ~tall(alice) | [] | null | 0 |
Everyone who is both curious and not brave is not happy or humble and vice versa.
Everyone who is not patient or not rich is not humble and vice versa.
If someone is happy or not funny then someone is both not old and not happy.
Everyone who is either strong or funny is both brave and strong.
Everyone who is strong is ... | Alice is curious. | entailment | (![X]:((curious(X)&~brave(X))<=>(~happy(X)|humble(X))))&
(![X]:((~patient(X)|~rich(X))<=>~humble(X)))&
((?[X]:((happy(X)|~funny(X))))=>(?[X]:((~old(X)&~happy(X)))))&
(![X]:((strong(X)<~>funny(X))=>(brave(X)&strong(X))))&
(![X]:(strong(X)=>(wise(X)<~>~old(X))))&
(((~humble(paul)|~rich(paul)))=>((~rich(john)<~>~funny(joh... | curious(alice) | [
"p0",
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1412410456900970559969451
% SZS output start Proof for 1412410456900970559969451
1. ! [X0] : ((~brave(X0) & curious(X0)) <=> (humble(X0) | ~happy(X0))) [input p0]
3. ? [X0] : (~funny(X0) | happy(X0)) => ? [X0] : (~happy(X0) & ~old(X0)) [input p2]
7. ! [X0] : ((old(X0) & calm(X0)) <=> (cur... | 0 |
If someone is both not tall and not calm then someone is not brave or not curious.
Everyone who is not calm or rich is both quiet and patient.
Everyone who is both not wise and tall is either not wise or not calm and vice versa.
If susan is kind or not calm then someone is both wise and not generous.
Everyone who is no... | Mary is curious. | neutral | ((?[X]:((~tall(X)&~calm(X))))=>(?[X]:((~brave(X)|~curious(X)))))&
(![X]:((~calm(X)|rich(X))=>(quiet(X)&patient(X))))&
(![X]:((~wise(X)&tall(X))<=>(~wise(X)<~>~calm(X))))&
(((kind(susan)|~calm(susan)))=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:(~calm(X)<=>creative(X)))&
((~creative(paul))<=>(calm(fred)))&
((?[X]:((~rich(... | curious(mary) | [] | null | 0 |
If alice is rich then mary is either wise or not happy and vice versa. If someone is either wise or patient then mary is both not calm and not generous. If lucy is wise then susan is not creative. Everyone who is not brave is both not kind and generous. If someone is not wise or not kind then someone is both creative a... | Mary is humble. | contradiction | ((rich(alice))<=>((wise(mary)<~>~happy(mary))))&
((?[X]:((wise(X)<~>patient(X))))=>((~calm(mary)&~generous(mary))))&
((wise(lucy))=>(~creative(susan)))&
(![X]:(~brave(X)=>(~kind(X)&generous(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(~wise(X)=>~creative(X)))&
(![X]:((brave(X)&curio... | humble(mary) | [
"p1",
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1830039510924630881820328
% SZS output start Proof for 1830039510924630881820328
2. ? [X0] : (wise(X0) <~> patient(X0)) => (~generous(mary) & ~calm(mary)) [input p1]
6. ! [X0] : (~wise(X0) => ~creative(X0)) [input p5]
9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> calm(X0)) [input p8]
12. !... | 0 |
Everyone who is either calm or kind is either tall or not tall and vice versa.
If someone is both wise and curious then someone is not tall or not kind and vice versa.
Everyone who is both happy and not humble is not quiet or funny.
Everyone who is curious is not wise.
Everyone who is strong or not brave is not kind.
I... | Mary is not tall. | contradiction | (![X]:((calm(X)<~>kind(X))<=>(tall(X)<~>~tall(X))))&
((?[X]:((wise(X)&curious(X))))<=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((happy(X)&~humble(X))=>(~quiet(X)|funny(X))))&
(![X]:(curious(X)=>~wise(X)))&
(![X]:((strong(X)|~brave(X))=>~kind(X)))&
((?[X]:((kind(X)|curious(X))))=>(?[X]:(curious(X))))&
((?[X]:((happy(X)&tall... | ~tall(mary) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1942912802067100166260
% SZS output start Proof for 1942912802067100166260
2. ? [X0] : (curious(X0) & wise(X0)) <=> ? [X0] : (~kind(X0) | ~tall(X0)) [input p1]
4. ! [X0] : (curious(X0) => ~wise(X0)) [input p3]
24. ~tall(mary) [input hypothesis]
25. ? [X0] : (curious(X0) & wise(X0)) <=> ? ... | 0 |
If someone is happy then paul is not strong.
Everyone who is either not rich or funny is not tall and vice versa.
Everyone who is both not patient and rich is not generous or not curious and vice versa.
If someone is not strong then someone is generous or not strong and vice versa.
Everyone who is not tall or not curio... | John is not rich. | contradiction | ((?[X]:(happy(X)))=>(~strong(paul)))&
(![X]:((~rich(X)<~>funny(X))<=>~tall(X)))&
(![X]:((~patient(X)&rich(X))<=>(~generous(X)|~curious(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)|~strong(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(quiet(X)|humble(X))))&
(((rich(paul)|~creative(paul)))<=>((~kind(lucy)<~>~patient(lucy... | ~rich(john) | [
"p1",
"p2",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1668434156208765483173229
% SZS output start Proof for 1668434156208765483173229
2. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> ~tall(X0)) [input p1]
3. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (~curious(X0) | ~generous(X0))) [input p2]
8. ! [X0] : (~funny(X0) <=> (~rich(X0) & ~generous(X0))) ... | 0 |
Everyone who is not funny is curious or rich and vice versa. If fred is rich then alice is not calm or quiet and vice versa. Everyone who is both not wise and quiet is old. If susan is funny or not humble then someone is either generous or tall and vice versa. If susan is not calm or generous then john is both not old ... | Alice is not humble. | entailment | (![X]:(~funny(X)<=>(curious(X)|rich(X))))&
((rich(fred))<=>((~calm(alice)|quiet(alice))))&
(![X]:((~wise(X)&quiet(X))=>old(X)))&
(((funny(susan)|~humble(susan)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(((~calm(susan)|generous(susan)))=>((~old(john)&tall(john))))&
(![X]:((happy(X)&kind(X))<=>~funny(X)))&
(![X]:((~funny(X)... | ~humble(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6257369755232281823948625
% SZS output start Proof for 6257369755232281823948625
1. ! [X0] : (~funny(X0) <=> (rich(X0) | curious(X0))) [input p0]
2. rich(fred) <=> (quiet(alice) | ~calm(alice)) [input p1]
6. ! [X0] : ((kind(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((happy(X... | 0 |
Everyone who is either not creative or kind is both kind and creative and vice versa.
If someone is both brave and patient then someone is either not curious or not rich and vice versa.
If someone is tall then fred is not curious and vice versa.
Everyone who is both quiet and not patient is funny.
Everyone who is eithe... | Fred is humble. | contradiction | (![X]:((~creative(X)<~>kind(X))<=>(kind(X)&creative(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((~curious(X)<~>~rich(X)))))&
((?[X]:(tall(X)))<=>(~curious(fred)))&
(![X]:((quiet(X)&~patient(X))=>funny(X)))&
(![X]:((~kind(X)<~>~creative(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((kind(X)&~humble(X))))<=>(tall(alice)))... | humble(fred) | [
"p0",
"p4",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7121752155556366673956284
% SZS output start Proof for 7121752155556366673956284
1. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (creative(X0) & kind(X0))) [input p0]
5. ! [X0] : ((~kind(X0) <~> ~creative(X0)) <=> (kind(X0) <~> generous(X0))) [input p4]
11. ? [X0] : ~rich(X0) <=> ? [X0] : (... | 0 |
Everyone who is not kind or not patient is either not patient or old and vice versa.
If someone is either not old or humble then paul is brave or funny and vice versa.
If lucy is either rich or happy then alice is strong or rich and vice versa.
If susan is both not creative and quiet then paul is either not generous or... | Mary is wise. | neutral | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)<~>old(X))))&
((?[X]:((~old(X)<~>humble(X))))<=>((brave(paul)|funny(paul))))&
(((rich(lucy)<~>happy(lucy)))<=>((strong(alice)|rich(alice))))&
(((~creative(susan)&quiet(susan)))=>((~generous(paul)<~>kind(paul))))&
((?[X]:(strong(X)))=>(patient(fred)))&
(((~patient(paul)<~>gene... | wise(mary) | [] | null | 0 |
If lucy is patient then someone is either not quiet or humble and vice versa. Everyone who is not creative is both not curious and quiet. Everyone who is both generous and not wise is not tall or generous. Everyone who is humble is either patient or quiet. Everyone who is not rich is either not rich or happy and vice v... | Mary is rich. | entailment | ((patient(lucy))<=>(?[X]:((~quiet(X)<~>humble(X)))))&
(![X]:(~creative(X)=>(~curious(X)&quiet(X))))&
(![X]:((generous(X)&~wise(X))=>(~tall(X)|generous(X))))&
(![X]:(humble(X)=>(patient(X)<~>quiet(X))))&
(![X]:(~rich(X)<=>(~rich(X)<~>happy(X))))&
(![X]:((~happy(X)&~rich(X))=>tall(X)))&
(![X]:(~humble(X)<=>(~happy(X)&kin... | rich(mary) | [
"p4",
"p5",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8435092196388481879731467
% SZS output start Proof for 8435092196388481879731467
5. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> happy(X0))) [input p4]
6. ! [X0] : ((~rich(X0) & ~happy(X0)) => tall(X0)) [input p5]
7. ! [X0] : (~humble(X0) <=> (kind(X0) & ~happy(X0))) [input p6]
11. ! [X0] : ((t... | 0 |
Everyone who is not curious or brave is kind or tall.
Everyone who is not wise or not tall is not funny or creative and vice versa.
If mary is either not calm or creative then someone is either humble or wise.
Everyone who is humble or not humble is kind.
Everyone who is either not creative or not funny is not brave.
I... | Fred is not wise. | neutral | (![X]:((~curious(X)|brave(X))=>(kind(X)|tall(X))))&
(![X]:((~wise(X)|~tall(X))<=>(~funny(X)|creative(X))))&
(((~calm(mary)<~>creative(mary)))=>(?[X]:((humble(X)<~>wise(X)))))&
(![X]:((humble(X)|~humble(X))=>kind(X)))&
(![X]:((~creative(X)<~>~funny(X))=>~brave(X)))&
(((~generous(mary)&brave(mary)))<=>(?[X]:((brave(X)|~c... | ~wise(fred) | [] | null | 0 |
If someone is both not funny and not curious then fred is brave or funny and vice versa.
Everyone who is not calm is not quiet and vice versa.
Everyone who is both tall and not brave is not generous.
Everyone who is not funny or not curious is both curious and not tall.
If lucy is both creative and not creative then ma... | Susan is not funny. | neutral | ((?[X]:((~funny(X)&~curious(X))))<=>((brave(fred)|funny(fred))))&
(![X]:(~calm(X)<=>~quiet(X)))&
(![X]:((tall(X)&~brave(X))=>~generous(X)))&
(![X]:((~funny(X)|~curious(X))=>(curious(X)&~tall(X))))&
(((creative(lucy)&~creative(lucy)))<=>((generous(mary)&patient(mary))))&
((?[X]:((kind(X)|~patient(X))))<=>(?[X]:((quiet(X... | ~funny(susan) | [] | null | 0 |
Everyone who is either wise or not wise is quiet.
Everyone who is both not generous and not creative is not creative and vice versa.
If john is either curious or happy then someone is not humble and vice versa.
Everyone who is both not happy and not curious is not tall and vice versa.
If susan is both happy and not str... | John is not strong. | contradiction | (![X]:((wise(X)<~>~wise(X))=>quiet(X)))&
(![X]:((~generous(X)&~creative(X))<=>~creative(X)))&
(((curious(john)<~>happy(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~happy(X)&~curious(X))<=>~tall(X)))&
(((happy(susan)&~strong(susan)))=>((funny(fred)<~>~humble(fred))))&
((?[X]:((~calm(X)&~wise(X))))<=>(?[X]:((~creative(X)|~ge... | ~strong(john) | [
"p0",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 497569380840045184708060
% SZS output start Proof for 497569380840045184708060
1. ! [X0] : ((wise(X0) <~> ~wise(X0)) => quiet(X0)) [input p0]
13. (wise(susan) & generous(susan)) <=> ? [X0] : (humble(X0) | ~strong(X0)) [input p12]
24. quiet(susan) <~> generous(susan) [input p23]
25. ~stron... | 0 |
If someone is either kind or not creative then john is not rich.
Everyone who is both not quiet and not brave is either not humble or not happy and vice versa.
Everyone who is both quiet and not creative is not kind and vice versa.
Everyone who is either not rich or not generous is both not calm and patient.
Everyone w... | Paul is generous. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>(~rich(john)))&
(![X]:((~quiet(X)&~brave(X))<=>(~humble(X)<~>~happy(X))))&
(![X]:((quiet(X)&~creative(X))<=>~kind(X)))&
(![X]:((~rich(X)<~>~generous(X))=>(~calm(X)&patient(X))))&
(![X]:((~funny(X)|~happy(X))=>(quiet(X)&funny(X))))&
(![X]:(rich(X)=>(~happy(X)|kind(X))))&
(![X]:((wise(... | generous(paul) | [] | null | 0 |
Everyone who is both funny and not calm is not brave.
If someone is both not funny and quiet then someone is either generous or not quiet.
If susan is quiet then mary is not generous or strong.
If susan is both not tall and not generous then someone is either not wise or patient.
Everyone who is both not rich and stron... | Susan is tall. | neutral | (![X]:((funny(X)&~calm(X))=>~brave(X)))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((generous(X)<~>~quiet(X)))))&
((quiet(susan))=>((~generous(mary)|strong(mary))))&
(((~tall(susan)&~generous(susan)))=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~rich(X)&strong(X))<=>(quiet(X)|old(X))))&
(![X]:((curious(X)|calm(X))=>~wise(X... | tall(susan) | [] | null | 0 |
If lucy is not calm then someone is either old or rich.
If someone is not patient then paul is both not old and creative.
Everyone who is both calm and not happy is not quiet or humble.
Everyone who is either quiet or happy is both not creative and not generous and vice versa.
Everyone who is either not funny or not ri... | Paul is not humble. | contradiction | ((~calm(lucy))=>(?[X]:((old(X)<~>rich(X)))))&
((?[X]:(~patient(X)))=>((~old(paul)&creative(paul))))&
(![X]:((calm(X)&~happy(X))=>(~quiet(X)|humble(X))))&
(![X]:((quiet(X)<~>happy(X))<=>(~creative(X)&~generous(X))))&
(![X]:((~funny(X)<~>~rich(X))<=>(~quiet(X)|calm(X))))&
((brave(john))=>(brave(fred)))&
(![X]:((~tall(X)<... | ~humble(paul) | [
"p1",
"p4",
"p7",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4512550748302142440746711
% SZS output start Proof for 4512550748302142440746711
2. ? [X0] : ~patient(X0) => (creative(paul) & ~old(paul)) [input p1]
5. ! [X0] : ((~funny(X0) <~> ~rich(X0)) <=> (calm(X0) | ~quiet(X0))) [input p4]
8. ! [X0] : ((~calm(X0) | rich(X0)) <=> (humble(X0) <~> ~ki... | 0 |
Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is either not humble or curious and vice versa. Everyo... | Mary is not kind. | entailment | (![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
(... | ~kind(mary) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8886711712878900715274730
% SZS output start Proof for 8886711712878900715274730
1. ! [X0] : (~kind(X0) <=> ~creative(X0)) [input p0]
18. ~creative(mary) [input p17]
24. kind(mary) [input hypothesis]
36. ! [X0] : ((~kind(X0) | creative(X0)) & (~creative(X0) | kind(X0))) [nnf transformatio... | 0 |
Everyone who is creative is old and vice versa. If paul is wise or not happy then mary is not curious or quiet and vice versa. If mary is either old or tall then alice is not rich. If mary is either curious or not wise then someone is happy or not happy and vice versa. Everyone who is both not patient and not tall is b... | Mary is rich. | neutral | (![X]:(creative(X)<=>old(X)))&
(((wise(paul)|~happy(paul)))<=>((~curious(mary)|quiet(mary))))&
(((old(mary)<~>tall(mary)))=>(~rich(alice)))&
(((curious(mary)<~>~wise(mary)))<=>(?[X]:((happy(X)|~happy(X)))))&
(![X]:((~patient(X)&~tall(X))=>(calm(X)&~quiet(X))))&
(![X]:((~calm(X)&kind(X))<=>(~kind(X)|brave(X))))&
(![X]:(... | rich(mary) | [] | null | 0 |
Everyone who is strong or not wise is not old or not calm.
If someone is strong or happy then susan is not kind.
Everyone who is humble is both generous and not rich.
Everyone who is old or brave is both not brave and brave.
If someone is curious or not generous then lucy is quiet or generous and vice versa.
If alice i... | Susan is strong. | neutral | (![X]:((strong(X)|~wise(X))=>(~old(X)|~calm(X))))&
((?[X]:((strong(X)|happy(X))))=>(~kind(susan)))&
(![X]:(humble(X)=>(generous(X)&~rich(X))))&
(![X]:((old(X)|brave(X))=>(~brave(X)&brave(X))))&
((?[X]:((curious(X)|~generous(X))))<=>((quiet(lucy)|generous(lucy))))&
(((brave(alice)&~curious(alice)))=>((old(paul)|~funny(p... | strong(susan) | [] | null | 0 |
Everyone who is not wise is not creative or wise and vice versa.
If someone is both generous and creative then fred is either not brave or wise.
Everyone who is either happy or not wise is either happy or rich and vice versa.
If someone is both not old and funny then someone is old and vice versa.
If john is both not p... | John is not humble. | neutral | (![X]:(~wise(X)<=>(~creative(X)|wise(X))))&
((?[X]:((generous(X)&creative(X))))=>((~brave(fred)<~>wise(fred))))&
(![X]:((happy(X)<~>~wise(X))<=>(happy(X)<~>rich(X))))&
((?[X]:((~old(X)&funny(X))))<=>(?[X]:(old(X))))&
(((~patient(john)&~strong(john)))=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((brave(X)|rich(X))=>(generous... | ~humble(john) | [] | null | 0 |
Everyone who is either strong or not curious is both not happy and humble and vice versa. Everyone who is not humble is either not humble or calm. Everyone who is both generous and not wise is calm. Everyone who is both not rich and not generous is calm or kind. Everyone who is both not kind and old is both brave and n... | Mary is not old. | contradiction | (![X]:((strong(X)<~>~curious(X))<=>(~happy(X)&humble(X))))&
(![X]:(~humble(X)=>(~humble(X)<~>calm(X))))&
(![X]:((generous(X)&~wise(X))=>calm(X)))&
(![X]:((~rich(X)&~generous(X))=>(calm(X)|kind(X))))&
(![X]:((~kind(X)&old(X))=>(brave(X)&~happy(X))))&
((?[X]:((~old(X)|humble(X))))<=>(?[X]:(kind(X))))&
(((~rich(mary)|~old... | ~old(mary) | [
"p2",
"p6",
"p9",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1170181533863553395675875
% SZS output start Proof for 1170181533863553395675875
3. ! [X0] : ((~wise(X0) & generous(X0)) => calm(X0)) [input p2]
7. (~old(mary) | ~rich(mary)) => (~strong(mary) & tall(mary)) [input p6]
10. ! [X0] : ((quiet(X0) | generous(X0)) <=> (rich(X0) & funny(X0))) [i... | 0 |
Everyone who is strong or quiet is strong. If alice is both not rich and patient then someone is tall or not strong and vice versa. If paul is kind then mary is rich and vice versa. If someone is not wise then paul is not kind or old. Everyone who is both wise and rich is both not patient and not calm and vice versa. E... | Lucy is patient. | neutral | (![X]:((strong(X)|quiet(X))=>strong(X)))&
(((~rich(alice)&patient(alice)))<=>(?[X]:((tall(X)|~strong(X)))))&
((kind(paul))<=>(rich(mary)))&
((?[X]:(~wise(X)))=>((~kind(paul)|old(paul))))&
(![X]:((wise(X)&rich(X))<=>(~patient(X)&~calm(X))))&
(![X]:((~strong(X)&old(X))=>(wise(X)<~>curious(X))))&
(![X]:(funny(X)=>(brave(X... | patient(lucy) | [] | null | 0 |
If alice is brave or not funny then paul is brave or calm.
Everyone who is either not old or old is both tall and not curious and vice versa.
Everyone who is both calm and generous is either not old or not curious.
Everyone who is not kind or rich is both funny and creative.
If someone is happy then john is both not pa... | Mary is creative. | entailment | (((brave(alice)|~funny(alice)))=>((brave(paul)|calm(paul))))&
(![X]:((~old(X)<~>old(X))<=>(tall(X)&~curious(X))))&
(![X]:((calm(X)&generous(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~kind(X)|rich(X))=>(funny(X)&creative(X))))&
((?[X]:(happy(X)))=>((~patient(john)&happy(john))))&
(![X]:((rich(X)<~>strong(X))<=>(calm(X)<~>... | creative(mary) | [
"p1",
"p3",
"p5",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8769703464217680826528637
% SZS output start Proof for 8769703464217680826528637
2. ! [X0] : ((~old(X0) <~> old(X0)) <=> (~curious(X0) & tall(X0))) [input p1]
4. ! [X0] : ((rich(X0) | ~kind(X0)) => (creative(X0) & funny(X0))) [input p3]
6. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (calm(X0)... | 0 |
Everyone who is not tall or not strong is not wise or quiet and vice versa.
If paul is both patient and not funny then susan is either not patient or not happy.
Everyone who is kind or not quiet is either calm or not kind and vice versa.
If paul is both not old and not humble then fred is rich.
Everyone who is not tall... | Lucy is wise. | entailment | (![X]:((~tall(X)|~strong(X))<=>(~wise(X)|quiet(X))))&
(((patient(paul)&~funny(paul)))=>((~patient(susan)<~>~happy(susan))))&
(![X]:((kind(X)|~quiet(X))<=>(calm(X)<~>~kind(X))))&
(((~old(paul)&~humble(paul)))=>(rich(fred)))&
(![X]:((~tall(X)|wise(X))=>~quiet(X)))&
(![X]:((humble(X)<~>creative(X))=>happy(X)))&
(((~funny(... | wise(lucy) | [
"p0",
"p5",
"p7",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1088926662182512967606591
% SZS output start Proof for 1088926662182512967606591
1. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (quiet(X0) | ~wise(X0))) [input p0]
6. ! [X0] : ((humble(X0) <~> creative(X0)) => happy(X0)) [input p5]
8. ! [X0] : ((~humble(X0) & tall(X0)) <=> (~strong(X0) | ~wis... | 0 |
Everyone who is either curious or not humble is generous or funny and vice versa. Everyone who is calm or humble is happy or not wise. Everyone who is not tall or not creative is not kind and vice versa. Everyone who is strong or not creative is not wise or not kind. Everyone who is brave or patient is old or not calm ... | Lucy is not strong. | neutral | (![X]:((curious(X)<~>~humble(X))<=>(generous(X)|funny(X))))&
(![X]:((calm(X)|humble(X))=>(happy(X)|~wise(X))))&
(![X]:((~tall(X)|~creative(X))<=>~kind(X)))&
(![X]:((strong(X)|~creative(X))=>(~wise(X)|~kind(X))))&
(![X]:((brave(X)|patient(X))<=>(old(X)|~calm(X))))&
(![X]:(tall(X)<=>(calm(X)|~creative(X))))&
((calm(mary)... | ~strong(lucy) | [] | null | 0 |
Everyone who is both not brave and tall is not rich or strong and vice versa. If someone is funny or humble then susan is quiet or not kind. Everyone who is either not humble or humble is either not happy or generous and vice versa. Everyone who is not curious or not kind is either patient or not curious and vice versa... | Fred is generous. | entailment | (![X]:((~brave(X)&tall(X))<=>(~rich(X)|strong(X))))&
((?[X]:((funny(X)|humble(X))))=>((quiet(susan)|~kind(susan))))&
(![X]:((~humble(X)<~>humble(X))<=>(~happy(X)<~>generous(X))))&
(![X]:((~curious(X)|~kind(X))<=>(patient(X)<~>~curious(X))))&
((?[X]:((rich(X)|~kind(X))))=>(?[X]:(calm(X))))&
(![X]:((generous(X)<~>rich(X)... | generous(fred) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4107631558457982342715313
% SZS output start Proof for 4107631558457982342715313
1. ! [X0] : ((tall(X0) & ~brave(X0)) <=> (strong(X0) | ~rich(X0))) [input p0]
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~happy(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~curious(X0)) <=... | 0 |
Everyone who is either kind or calm is quiet and vice versa. Everyone who is funny or not kind is happy. If susan is either not strong or brave then susan is not tall or not brave. If fred is not humble then alice is quiet or not wise and vice versa. If john is either old or not calm then mary is either strong or tall.... | Susan is not humble. | neutral | (![X]:((kind(X)<~>calm(X))<=>quiet(X)))&
(![X]:((funny(X)|~kind(X))=>happy(X)))&
(((~strong(susan)<~>brave(susan)))=>((~tall(susan)|~brave(susan))))&
((~humble(fred))<=>((quiet(alice)|~wise(alice))))&
(((old(john)<~>~calm(john)))=>((strong(mary)<~>tall(mary))))&
(((~wise(lucy)|~rich(lucy)))=>((~funny(mary)<~>creative(m... | ~humble(susan) | [] | null | 0 |
If lucy is both brave and patient then mary is humble. Everyone who is either wise or not humble is both not old and not wise. If someone is both not humble and funny then paul is either not funny or not curious. If mary is not happy or not humble then someone is either creative or curious. Everyone who is not generous... | Alice is happy. | neutral | (((brave(lucy)&patient(lucy)))=>(humble(mary)))&
(![X]:((wise(X)<~>~humble(X))=>(~old(X)&~wise(X))))&
((?[X]:((~humble(X)&funny(X))))=>((~funny(paul)<~>~curious(paul))))&
(((~happy(mary)|~humble(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(~generous(X)=>(wise(X)|~quiet(X))))&
(![X]:(~happy(X)=>(~generous(X)|~s... | happy(alice) | [] | null | 0 |
Everyone who is both not quiet and rich is not humble.
Everyone who is not rich is brave and vice versa.
If fred is both not wise and not humble then someone is old or brave.
Everyone who is either calm or not wise is not kind or not old and vice versa.
Everyone who is both creative and calm is not patient or patient.
... | Lucy is curious. | contradiction | (![X]:((~quiet(X)&rich(X))=>~humble(X)))&
(![X]:(~rich(X)<=>brave(X)))&
(((~wise(fred)&~humble(fred)))=>(?[X]:((old(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|... | curious(lucy) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8503379465818576642528670
% SZS output start Proof for 8503379465818576642528670
1. ! [X0] : ((rich(X0) & ~quiet(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : (~rich(X0) <=> brave(X0)) [input p1]
4. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> (~old(X0) | ~kind(X0))) [input p3]
7. ! [X0] : ((humb... | 0 |
Everyone who is both kind and not generous is either humble or brave.
If mary is not rich or kind then alice is both wise and rich.
Everyone who is not happy or not humble is both not kind and wise and vice versa.
If someone is patient or not wise then someone is not old or not generous.
If someone is happy then alice ... | Fred is not generous. | neutral | (![X]:((kind(X)&~generous(X))=>(humble(X)<~>brave(X))))&
(((~rich(mary)|kind(mary)))=>((wise(alice)&rich(alice))))&
(![X]:((~happy(X)|~humble(X))<=>(~kind(X)&wise(X))))&
((?[X]:((patient(X)|~wise(X))))=>(?[X]:((~old(X)|~generous(X)))))&
((?[X]:(happy(X)))<=>((~kind(alice)<~>~brave(alice))))&
(![X]:(patient(X)<=>(~wise(... | ~generous(fred) | [] | null | 0 |
If susan is not kind then john is either quiet or not calm. Everyone who is creative is humble and vice versa. Everyone who is both kind and not happy is either not happy or rich and vice versa. Everyone who is not quiet or not brave is calm or not wise. Everyone who is not tall or tall is brave and vice versa. If john... | John is tall. | entailment | ((~kind(susan))=>((quiet(john)<~>~calm(john))))&
(![X]:(creative(X)<=>humble(X)))&
(![X]:((kind(X)&~happy(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))=>(calm(X)|~wise(X))))&
(![X]:((~tall(X)|tall(X))<=>brave(X)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:((~old(X)|happy(X)))))&
((creative(alice))<=>(curiou... | tall(john) | [
"p5",
"p11",
"p14",
"p16",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9037231298409978831510213
% SZS output start Proof for 9037231298409978831510213
6. (quiet(john) <~> ~tall(john)) <=> ? [X0] : (happy(X0) | ~old(X0)) [input p5]
12. ! [X0] : ((funny(X0) | rich(X0)) <=> ~quiet(X0)) [input p11]
15. ! [X0] : ((rich(X0) | ~rich(X0)) => (patient(X0) <~> quiet(... | 0 |
If someone is old then fred is not generous or not rich and vice versa. If mary is generous then someone is both quiet and tall. Everyone who is calm or quiet is both not patient and creative and vice versa. Everyone who is not calm is not creative or not happy. Everyone who is not happy or not curious is both calm and... | Alice is not funny. | contradiction | ((?[X]:(old(X)))<=>((~generous(fred)|~rich(fred))))&
((generous(mary))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]... | ~funny(alice) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3655139078010507206392090
% SZS output start Proof for 3655139078010507206392090
3. ! [X0] : ((quiet(X0) | calm(X0)) <=> (creative(X0) & ~patient(X0))) [input p2]
4. ! [X0] : (~calm(X0) => (~happy(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~rich(X0) & ca... | 0 |
If someone is both not tall and not creative then alice is both tall and not old. If someone is old or not brave then susan is not rich and vice versa. If someone is both wise and kind then someone is not happy and vice versa. Everyone who is not funny is not creative and vice versa. If someone is either brave or stron... | Fred is tall. | contradiction | ((?[X]:((~tall(X)&~creative(X))))=>((tall(alice)&~old(alice))))&
((?[X]:((old(X)|~brave(X))))<=>(~rich(susan)))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:(~happy(X))))&
(![X]:(~funny(X)<=>~creative(X)))&
((?[X]:((brave(X)<~>strong(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((?[X]:((rich(X)|~rich(X))))=>((~funny(john)|funny(jo... | tall(fred) | [
"p7",
"p8",
"p9",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2957024471148816449356910
% SZS output start Proof for 2957024471148816449356910
8. ! [X0] : (~strong(X0) <=> funny(X0)) [input p7]
9. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> (humble(X0) <~> strong(X0))) [input p8]
10. ! [X0] : ((humble(X0) | patient(X0)) => (~humble(X0) | ~funny(X0))... | 0 |
Everyone who is either humble or not happy is both not old and kind.
Everyone who is both wise and happy is humble.
If someone is wise then someone is both generous and not quiet.
If john is either rich or creative then alice is either patient or curious and vice versa.
Everyone who is kind or not happy is strong and v... | Mary is not old. | entailment | (![X]:((humble(X)<~>~happy(X))=>(~old(X)&kind(X))))&
(![X]:((wise(X)&happy(X))=>humble(X)))&
((?[X]:(wise(X)))=>(?[X]:((generous(X)&~quiet(X)))))&
(((rich(john)<~>creative(john)))<=>((patient(alice)<~>curious(alice))))&
(![X]:((kind(X)|~happy(X))<=>strong(X)))&
(![X]:((tall(X)<~>~humble(X))<=>(~strong(X)|~brave(X))))&
... | ~old(mary) | [
"p0",
"p1",
"p4",
"p5",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5605722276639561976820009
% SZS output start Proof for 5605722276639561976820009
1. ! [X0] : ((humble(X0) <~> ~happy(X0)) => (kind(X0) & ~old(X0))) [input p0]
2. ! [X0] : ((happy(X0) & wise(X0)) => humble(X0)) [input p1]
5. ! [X0] : ((~happy(X0) | kind(X0)) <=> strong(X0)) [input p4]
6. !... | 0 |
If fred is either humble or old then lucy is either rich or generous. Everyone who is both happy and kind is strong. Everyone who is curious is both not kind and funny and vice versa. If someone is either happy or generous then lucy is wise. If paul is either rich or not tall then someone is either not calm or generous... | Susan is not rich. | neutral | (((humble(fred)<~>old(fred)))=>((rich(lucy)<~>generous(lucy))))&
(![X]:((happy(X)&kind(X))=>strong(X)))&
(![X]:(curious(X)<=>(~kind(X)&funny(X))))&
((?[X]:((happy(X)<~>generous(X))))=>(wise(lucy)))&
(((rich(paul)<~>~tall(paul)))=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:(curious(X)<=>wise(X)))&
(![X]:(funny(X)=>(patie... | ~rich(susan) | [] | null | 0 |
Everyone who is strong is either happy or not old.
Everyone who is not patient is both rich and curious.
Everyone who is either happy or tall is not creative or creative and vice versa.
Everyone who is both not humble and tall is either patient or old and vice versa.
If someone is wise then susan is both old and tall.
... | John is wise. | contradiction | (![X]:(strong(X)=>(happy(X)<~>~old(X))))&
(![X]:(~patient(X)=>(rich(X)&curious(X))))&
(![X]:((happy(X)<~>tall(X))<=>(~creative(X)|creative(X))))&
(![X]:((~humble(X)&tall(X))<=>(patient(X)<~>old(X))))&
((?[X]:(wise(X)))=>((old(susan)&tall(susan))))&
(![X]:(~quiet(X)<=>(~tall(X)|~generous(X))))&
(![X]:((~brave(X)<~>curio... | wise(john) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4195188539595594337274573
% SZS output start Proof for 4195188539595594337274573
3. ! [X0] : ((happy(X0) <~> tall(X0)) <=> (creative(X0) | ~creative(X0))) [input p2]
5. ? [X0] : wise(X0) => (tall(susan) & old(susan)) [input p4]
13. ! [X0] : ((funny(X0) | ~happy(X0)) <=> (funny(X0) & calm(... | 0 |
If susan is either not calm or not kind then someone is not generous and vice versa.
Everyone who is either quiet or not brave is not old or not calm and vice versa.
Everyone who is not rich or not calm is both not humble and happy.
If fred is kind then susan is both not calm and not patient.
If john is both patient an... | Alice is not old. | neutral | (((~calm(susan)<~>~kind(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~old(X)|~calm(X))))&
(![X]:((~rich(X)|~calm(X))=>(~humble(X)&happy(X))))&
((kind(fred))=>((~calm(susan)&~patient(susan))))&
(((patient(john)&calm(john)))<=>(?[X]:((wise(X)&brave(X)))))&
(![X]:(tall(X)<=>(~creative(X)<~>kind(X)))... | ~old(alice) | [] | null | 0 |
Everyone who is both not calm and humble is both not wise and quiet and vice versa.
If someone is not wise or not old then fred is either creative or not brave and vice versa.
If alice is not calm or not happy then john is patient.
Everyone who is not generous is quiet or not kind and vice versa.
If someone is happy th... | Lucy is not old. | neutral | (![X]:((~calm(X)&humble(X))<=>(~wise(X)&quiet(X))))&
((?[X]:((~wise(X)|~old(X))))<=>((creative(fred)<~>~brave(fred))))&
(((~calm(alice)|~happy(alice)))=>(patient(john)))&
(![X]:(~generous(X)<=>(quiet(X)|~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)<~>funny(X)))))&
(![X]:(~curious(X)<=>(~curious(X)<~>funny(X))))&
(!... | ~old(lucy) | [] | null | 0 |
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