premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is quiet is strong or humble and vice versa.
Everyone who is both not happy and tall is happy or kind and vice versa.
If someone is not old then paul is either creative or not humble and vice versa.
If someone is either funny or not creative then someone is not generous or kind and vice versa.
Everyone who... | Alice is not strong. | entailment | (![X]:(quiet(X)<=>(strong(X)|humble(X))))&
(![X]:((~happy(X)&tall(X))<=>(happy(X)|kind(X))))&
((?[X]:(~old(X)))<=>((creative(paul)<~>~humble(paul))))&
((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((~generous(X)|kind(X)))))&
(![X]:((wise(X)<~>~calm(X))=>(~patient(X)|kind(X))))&
(![X]:((~funny(X)&~kind(X))=>(generous(X)|~... | ~strong(alice) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4359293682331901819135469
% SZS output start Proof for 4359293682331901819135469
1. ! [X0] : (quiet(X0) <=> (humble(X0) | strong(X0))) [input p0]
10. ! [X0] : (rich(X0) <=> (~rich(X0) & quiet(X0))) [input p9]
21. strong(alice) [input hypothesis]
34. ! [X0] : ((quiet(X0) | (~humble(X0) & ~... | 0 |
Everyone who is rich or not creative is either generous or not calm. If someone is generous or wise then fred is not calm. If someone is creative then someone is either not patient or creative and vice versa. If someone is both generous and humble then mary is kind and vice versa. Everyone who is both curious and not w... | Susan is not funny. | contradiction | (![X]:((rich(X)|~creative(X))=>(generous(X)<~>~calm(X))))&
((?[X]:((generous(X)|wise(X))))=>(~calm(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((~patient(X)<~>creative(X)))))&
((?[X]:((generous(X)&humble(X))))<=>(kind(mary)))&
(![X]:((curious(X)&~wise(X))=>(old(X)&~curious(X))))&
(![X]:(~tall(X)=>(generous(X)&~generous(X)))... | ~funny(susan) | [
"p0",
"p5",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 294520199072970134180052
% SZS output start Proof for 294520199072970134180052
1. ! [X0] : ((~creative(X0) | rich(X0)) => (generous(X0) <~> ~calm(X0))) [input p0]
6. ! [X0] : (~tall(X0) => (~generous(X0) & generous(X0))) [input p5]
9. ? [X0] : (~rich(X0) <~> ~tall(X0)) <=> (~funny(susan) ... | 0 |
If someone is both creative and strong then someone is both not wise and calm and vice versa.
Everyone who is both not old and not funny is rich.
Everyone who is wise or not funny is both happy and generous and vice versa.
If someone is either curious or not strong then susan is both not creative and not old and vice v... | John is not strong. | neutral | ((?[X]:((creative(X)&strong(X))))<=>(?[X]:((~wise(X)&calm(X)))))&
(![X]:((~old(X)&~funny(X))=>rich(X)))&
(![X]:((wise(X)|~funny(X))<=>(happy(X)&generous(X))))&
((?[X]:((curious(X)<~>~strong(X))))<=>((~creative(susan)&~old(susan))))&
(![X]:((~calm(X)|curious(X))=>old(X)))&
(![X]:(~humble(X)<=>(tall(X)&~happy(X))))&
(![X... | ~strong(john) | [] | null | 0 |
Everyone who is patient or generous is curious or not old and vice versa. Everyone who is not humble is kind and vice versa. Everyone who is not calm is not humble and vice versa. Everyone who is either calm or not generous is curious or not creative. If paul is not wise or happy then mary is curious and vice versa. If... | Mary is wise. | neutral | (![X]:((patient(X)|generous(X))<=>(curious(X)|~old(X))))&
(![X]:(~humble(X)<=>kind(X)))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((calm(X)<~>~generous(X))=>(curious(X)|~creative(X))))&
(((~wise(paul)|happy(paul)))<=>(curious(mary)))&
(((~wise(fred)<~>~creative(fred)))<=>(?[X]:((curious(X)<~>strong(X)))))&
((?[X]:((~humbl... | wise(mary) | [] | null | 0 |
Everyone who is either not funny or humble is happy.
If someone is tall then fred is either not creative or patient.
If susan is not strong or funny then lucy is not tall.
If someone is not wise then susan is creative.
Everyone who is both not quiet and kind is not patient and vice versa.
If susan is not old then alice... | Fred is funny. | contradiction | (![X]:((~funny(X)<~>humble(X))=>happy(X)))&
((?[X]:(tall(X)))=>((~creative(fred)<~>patient(fred))))&
(((~strong(susan)|funny(susan)))=>(~tall(lucy)))&
((?[X]:(~wise(X)))=>(creative(susan)))&
(![X]:((~quiet(X)&kind(X))<=>~patient(X)))&
((~old(susan))=>(quiet(alice)))&
(((~quiet(susan)&calm(susan)))=>(?[X]:((generous(X)|... | funny(fred) | [
"p0",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7273041755092382679679223
% SZS output start Proof for 7273041755092382679679223
1. ! [X0] : ((~funny(X0) <~> humble(X0)) => happy(X0)) [input p0]
8. ! [X0] : ((~humble(X0) | wise(X0)) <=> (~funny(X0) & funny(X0))) [input p7]
15. ! [X0] : ((curious(X0) | tall(X0)) => ~funny(X0)) [input p1... | 0 |
If john is not strong then someone is not calm. Everyone who is not patient is strong or quiet. If someone is either not quiet or not calm then susan is either patient or not old and vice versa. If someone is both brave and not tall then susan is not wise or calm and vice versa. Everyone who is both not old and not cur... | Susan is not funny. | neutral | ((~strong(john))=>(?[X]:(~calm(X))))&
(![X]:(~patient(X)=>(strong(X)|quiet(X))))&
((?[X]:((~quiet(X)<~>~calm(X))))<=>((patient(susan)<~>~old(susan))))&
((?[X]:((brave(X)&~tall(X))))<=>((~wise(susan)|calm(susan))))&
(![X]:((~old(X)&~curious(X))<=>(strong(X)|curious(X))))&
(![X]:((funny(X)|~strong(X))=>(quiet(X)|~quiet(X... | ~funny(susan) | [] | null | 0 |
If someone is brave then alice is both not funny and wise and vice versa. If lucy is not curious then someone is both funny and not kind. Everyone who is not kind or calm is old or wise and vice versa. If john is not strong or not rich then alice is either calm or not happy. Everyone who is not humble is both generous ... | Lucy is not rich. | entailment | ((?[X]:(brave(X)))<=>((~funny(alice)&wise(alice))))&
((~curious(lucy))=>(?[X]:((funny(X)&~kind(X)))))&
(![X]:((~kind(X)|calm(X))<=>(old(X)|wise(X))))&
(((~strong(john)|~rich(john)))=>((calm(alice)<~>~happy(alice))))&
(![X]:(~humble(X)=>(generous(X)&creative(X))))&
((?[X]:((~quiet(X)|rich(X))))=>(?[X]:(creative(X))))&
(... | ~rich(lucy) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7185924828604399433663324
% SZS output start Proof for 7185924828604399433663324
6. ? [X0] : (rich(X0) | ~quiet(X0)) => ? [X0] : creative(X0) [input p5]
11. ? [X0] : (creative(X0) | generous(X0)) => ? [X0] : (funny(X0) & ~funny(X0)) [input p10]
21. rich(lucy) [input hypothesis]
22. ? [X0]... | 0 |
Everyone who is both not quiet and not happy is old and vice versa. Everyone who is not rich is rich or not wise. Everyone who is both not humble and brave is either not creative or old. If someone is generous or tall then john is either quiet or tall and vice versa. Everyone who is both quiet and not tall is both calm... | Fred is not calm. | neutral | (![X]:((~quiet(X)&~happy(X))<=>old(X)))&
(![X]:(~rich(X)=>(rich(X)|~wise(X))))&
(![X]:((~humble(X)&brave(X))=>(~creative(X)<~>old(X))))&
((?[X]:((generous(X)|tall(X))))<=>((quiet(john)<~>tall(john))))&
(![X]:((quiet(X)&~tall(X))=>(calm(X)&~patient(X))))&
(![X]:(kind(X)<=>(funny(X)&generous(X))))&
(![X]:((~strong(X)&~ta... | ~calm(fred) | [] | null | 0 |
If someone is either not funny or generous then john is both not rich and not generous.
If someone is rich then mary is either generous or calm.
Everyone who is both not brave and tall is quiet or not quiet and vice versa.
Everyone who is quiet is not strong and vice versa.
Everyone who is not curious or not brave is b... | Paul is not wise. | contradiction | ((?[X]:((~funny(X)<~>generous(X))))=>((~rich(john)&~generous(john))))&
((?[X]:(rich(X)))=>((generous(mary)<~>calm(mary))))&
(![X]:((~brave(X)&tall(X))<=>(quiet(X)|~quiet(X))))&
(![X]:(quiet(X)<=>~strong(X)))&
(![X]:((~curious(X)|~brave(X))<=>(~rich(X)&~curious(X))))&
(![X]:((calm(X)&patient(X))<=>~wise(X)))&
(![X]:((~c... | ~wise(paul) | [
"p2",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 113125164839476148328425
% SZS output start Proof for 113125164839476148328425
3. ! [X0] : ((tall(X0) & ~brave(X0)) <=> (~quiet(X0) | quiet(X0))) [input p2]
6. ! [X0] : ((patient(X0) & calm(X0)) <=> ~wise(X0)) [input p5]
9. ! [X0] : (tall(X0) <=> (kind(X0) & quiet(X0))) [input p8]
15. ! [... | 0 |
Everyone who is kind or not strong is quiet or creative. Everyone who is strong is humble or not rich and vice versa. If someone is not curious then alice is both not wise and not humble and vice versa. If someone is both generous and calm then someone is not happy and vice versa. If someone is either not curious or no... | Paul is not curious. | contradiction | (![X]:((kind(X)|~strong(X))=>(quiet(X)|creative(X))))&
(![X]:(strong(X)<=>(humble(X)|~rich(X))))&
((?[X]:(~curious(X)))<=>((~wise(alice)&~humble(alice))))&
((?[X]:((generous(X)&calm(X))))<=>(?[X]:(~happy(X))))&
((?[X]:((~curious(X)<~>~creative(X))))<=>(?[X]:((~rich(X)|~humble(X)))))&
((?[X]:((wise(X)|~generous(X))))<=>... | ~curious(paul) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 475242752485891264601733
% SZS output start Proof for 475242752485891264601733
3. ? [X0] : ~curious(X0) <=> (~humble(alice) & ~wise(alice)) [input p2]
10. ! [X0] : ((~humble(X0) | patient(X0)) => wise(X0)) [input p9]
24. ~curious(paul) [input hypothesis]
36. ! [X0] : (wise(X0) | (humble(X... | 0 |
If someone is both wise and not patient then john is not rich.
Everyone who is both not generous and not wise is either not old or tall.
If paul is either kind or calm then fred is both curious and not brave.
If someone is not funny then fred is not humble or patient and vice versa.
Everyone who is not strong is not ri... | Alice is old. | neutral | ((?[X]:((wise(X)&~patient(X))))=>(~rich(john)))&
(![X]:((~generous(X)&~wise(X))=>(~old(X)<~>tall(X))))&
(((kind(paul)<~>calm(paul)))=>((curious(fred)&~brave(fred))))&
((?[X]:(~funny(X)))<=>((~humble(fred)|patient(fred))))&
(![X]:(~strong(X)<=>(~rich(X)|~patient(X))))&
((?[X]:((~generous(X)|humble(X))))=>(?[X]:((~calm(X... | old(alice) | [] | null | 0 |
Everyone who is not funny is either not funny or not curious.
If someone is either not kind or not generous then someone is patient or not wise and vice versa.
If someone is either kind or old then alice is not calm or creative and vice versa.
Everyone who is either not creative or not brave is either not kind or not c... | Mary is not brave. | contradiction | (![X]:(~funny(X)=>(~funny(X)<~>~curious(X))))&
((?[X]:((~kind(X)<~>~generous(X))))<=>(?[X]:((patient(X)|~wise(X)))))&
((?[X]:((kind(X)<~>old(X))))<=>((~calm(alice)|creative(alice))))&
(![X]:((~creative(X)<~>~brave(X))=>(~kind(X)<~>~creative(X))))&
((~quiet(susan))=>(?[X]:((strong(X)<~>~funny(X)))))&
((creative(alice))<... | ~brave(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 963229267548227118788235
% SZS output start Proof for 963229267548227118788235
12. ! [X0] : ((brave(X0) | ~rich(X0)) <=> rich(X0)) [input p11]
22. ~brave(mary) [input hypothesis]
61. ! [X0] : (((brave(X0) | ~rich(X0)) | ~rich(X0)) & (rich(X0) | (~brave(X0) & rich(X0)))) [nnf transformatio... | 0 |
If mary is tall or not patient then alice is either not humble or curious.
Everyone who is not calm is either generous or not strong and vice versa.
Everyone who is old or not tall is curious or wise and vice versa.
If susan is not kind or quiet then someone is not patient and vice versa.
Everyone who is not quiet is s... | John is calm. | entailment | (((tall(mary)|~patient(mary)))=>((~humble(alice)<~>curious(alice))))&
(![X]:(~calm(X)<=>(generous(X)<~>~strong(X))))&
(![X]:((old(X)|~tall(X))<=>(curious(X)|wise(X))))&
(((~kind(susan)|quiet(susan)))<=>(?[X]:(~patient(X))))&
(![X]:(~quiet(X)<=>(strong(X)|~tall(X))))&
(((tall(paul)<~>happy(paul)))<=>(?[X]:(~generous(X))... | calm(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7040984487830898088452531
% SZS output start Proof for 7040984487830898088452531
14. ! [X0] : ((humble(X0) & calm(X0)) <=> ~calm(X0)) [input p13]
24. ~calm(john) [input hypothesis]
58. ! [X0] : (((humble(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (~humble(X0) | ~calm(X0)))) [nnf transform... | 0 |
Everyone who is either not happy or happy is tall and vice versa. Everyone who is either not patient or brave is tall or humble. Everyone who is not wise is either quiet or not wise and vice versa. Everyone who is either not wise or not curious is rich. If fred is curious or quiet then susan is not creative or not calm... | Paul is not quiet. | entailment | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((~patient(X)<~>brave(X))=>(tall(X)|humble(X))))&
(![X]:(~wise(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:((~wise(X)<~>~curious(X))=>rich(X)))&
(((curious(fred)|quiet(fred)))<=>((~creative(susan)|~calm(susan))))&
(![X]:((~humble(X)&~strong(X))<=>(kind(X)<~>~old(X))))&
((?[X]:((... | ~quiet(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4498616147072602742243202
% SZS output start Proof for 4498616147072602742243202
3. ! [X0] : (~wise(X0) <=> (quiet(X0) <~> ~wise(X0))) [input p2]
23. quiet(paul) [input hypothesis]
37. ! [X0] : ((~wise(X0) | ((quiet(X0) | wise(X0)) & (~wise(X0) | ~quiet(X0)))) & (((wise(X0) | ~quiet(X0)) ... | 0 |
If someone is strong then lucy is humble and vice versa. If someone is not strong then john is both humble and not wise and vice versa. Everyone who is not kind or not curious is both rich and not calm. If mary is both not old and not tall then susan is not calm. Everyone who is either curious or strong is patient and ... | John is calm. | contradiction | ((?[X]:(strong(X)))<=>(humble(lucy)))&
((?[X]:(~strong(X)))<=>((humble(john)&~wise(john))))&
(![X]:((~kind(X)|~curious(X))=>(rich(X)&~calm(X))))&
(((~old(mary)&~tall(mary)))=>(~calm(susan)))&
(![X]:((curious(X)<~>strong(X))<=>patient(X)))&
((?[X]:((happy(X)<~>old(X))))<=>(~funny(mary)))&
(![X]:(~patient(X)<=>brave(X)))... | calm(john) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p8",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5826494988929043830446903
% SZS output start Proof for 5826494988929043830446903
1. ? [X0] : strong(X0) <=> humble(lucy) [input p0]
2. ? [X0] : ~strong(X0) <=> (~wise(john) & humble(john)) [input p1]
3. ! [X0] : ((~curious(X0) | ~kind(X0)) => (~calm(X0) & rich(X0))) [input p2]
5. ! [X0] :... | 0 |
Everyone who is either calm or not rich is both kind and not quiet. If mary is curious or rich then susan is not wise and vice versa. If someone is not wise or not calm then alice is not wise. Everyone who is either not brave or not funny is creative. Everyone who is both not generous and funny is kind or not rich. Eve... | Alice is kind. | entailment | (![X]:((calm(X)<~>~rich(X))=>(kind(X)&~quiet(X))))&
(((curious(mary)|rich(mary)))<=>(~wise(susan)))&
((?[X]:((~wise(X)|~calm(X))))=>(~wise(alice)))&
(![X]:((~brave(X)<~>~funny(X))=>creative(X)))&
(![X]:((~generous(X)&funny(X))=>(kind(X)|~rich(X))))&
(![X]:((~wise(X)|happy(X))<=>(kind(X)&~creative(X))))&
(![X]:((~strong... | kind(alice) | [
"p1",
"p2",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5544275980696583766420331
% SZS output start Proof for 5544275980696583766420331
2. (rich(mary) | curious(mary)) <=> ~wise(susan) [input p1]
3. ? [X0] : (~calm(X0) | ~wise(X0)) => ~wise(alice) [input p2]
6. ! [X0] : ((happy(X0) | ~wise(X0)) <=> (~creative(X0) & kind(X0))) [input p5]
9. ? ... | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is both not old and humble.
If someone is patient or wise then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and ... | Fred is humble. | contradiction | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>(~old(X)&humble(X))))&
((?[X]:((patient(X)|wise(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~... | humble(fred) | [
"p0",
"p4",
"p5",
"p6",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1234266936984642995496310
% SZS output start Proof for 1234266936984642995496310
1. ! [X0] : ((~happy(X0) | strong(X0)) <=> patient(X0)) [input p0]
5. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p4]
6. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p5]
7. ! [X0] : ((ri... | 0 |
Everyone who is both patient and not patient is happy or not rich and vice versa.
Everyone who is either happy or strong is quiet or kind.
Everyone who is both kind and not happy is both strong and quiet and vice versa.
If mary is not kind then lucy is funny or not curious.
Everyone who is either creative or not brave ... | Susan is rich. | entailment | (![X]:((patient(X)&~patient(X))<=>(happy(X)|~rich(X))))&
(![X]:((happy(X)<~>strong(X))=>(quiet(X)|kind(X))))&
(![X]:((kind(X)&~happy(X))<=>(strong(X)&quiet(X))))&
((~kind(mary))=>((funny(lucy)|~curious(lucy))))&
(![X]:((creative(X)<~>~brave(X))<=>(creative(X)&wise(X))))&
((?[X]:((creative(X)<~>kind(X))))<=>((calm(paul)... | rich(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3459649912919576521723734
% SZS output start Proof for 3459649912919576521723734
1. ! [X0] : ((~patient(X0) & patient(X0)) <=> (~rich(X0) | happy(X0))) [input p0]
21. ~rich(susan) [input hypothesis]
29. ! [X0] : (((~patient(X0) & patient(X0)) | (rich(X0) & ~happy(X0))) & ((~rich(X0) | hap... | 0 |
Everyone who is not curious is both not brave and not wise. Everyone who is either not old or quiet is kind and vice versa. Everyone who is both not calm and calm is either not rich or not patient. Everyone who is both not quiet and not rich is both generous and curious. If someone is both kind and not old then someone... | Fred is not old. | neutral | (![X]:(~curious(X)=>(~brave(X)&~wise(X))))&
(![X]:((~old(X)<~>quiet(X))<=>kind(X)))&
(![X]:((~calm(X)&calm(X))=>(~rich(X)<~>~patient(X))))&
(![X]:((~quiet(X)&~rich(X))=>(generous(X)&curious(X))))&
((?[X]:((kind(X)&~old(X))))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((creative(X)<~>tall(X))=>(funny(X)<~>~happy(X))))&
(((... | ~old(fred) | [] | null | 0 |
If someone is patient or not quiet then someone is wise and vice versa. Everyone who is kind or not strong is either generous or not kind. Everyone who is not quiet or not rich is both not happy and not patient. Everyone who is not old or not wise is either rich or not tall and vice versa. If someone is both brave and ... | Susan is calm. | contradiction | ((?[X]:((patient(X)|~quiet(X))))<=>(?[X]:(wise(X))))&
(![X]:((kind(X)|~strong(X))=>(generous(X)<~>~kind(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~happy(X)&~patient(X))))&
(![X]:((~old(X)|~wise(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:((~wise(X)&~creative(X)))))&
(![X]:(curious(X)<=>~happy(X)))&
(!... | calm(susan) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1667213874482012727652038
% SZS output start Proof for 1667213874482012727652038
2. ! [X0] : ((~strong(X0) | kind(X0)) => (generous(X0) <~> ~kind(X0))) [input p1]
6. ! [X0] : (curious(X0) <=> ~happy(X0)) [input p5]
8. ! [X0] : ((~kind(X0) <~> happy(X0)) => (creative(X0) & ~curious(X0))) [... | 0 |
If fred is not curious then paul is either funny or not rich.
If someone is both kind and brave then someone is strong.
Everyone who is both tall and not funny is both not creative and strong and vice versa.
Everyone who is curious or not patient is either not old or tall and vice versa.
If susan is both rich and happy... | Fred is rich. | contradiction | ((~curious(fred))=>((funny(paul)<~>~rich(paul))))&
((?[X]:((kind(X)&brave(X))))=>(?[X]:(strong(X))))&
(![X]:((tall(X)&~funny(X))<=>(~creative(X)&strong(X))))&
(![X]:((curious(X)|~patient(X))<=>(~old(X)<~>tall(X))))&
(((rich(susan)&happy(susan)))<=>(generous(mary)))&
(![X]:((funny(X)|kind(X))<=>(~calm(X)&~rich(X))))&
((... | rich(fred) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7189494871401108316997531
% SZS output start Proof for 7189494871401108316997531
6. ! [X0] : ((kind(X0) | funny(X0)) <=> (~rich(X0) & ~calm(X0))) [input p5]
19. kind(fred) [input p18]
25. rich(fred) [input hypothesis]
45. ! [X0] : (((kind(X0) | funny(X0)) | (rich(X0) | calm(X0))) & ((~ric... | 0 |
If someone is rich then someone is funny.
Everyone who is either not strong or not creative is either not funny or not strong.
Everyone who is both not brave and not rich is not brave or not rich.
Everyone who is strong is quiet.
If alice is either rich or happy then alice is creative or brave.
If someone is either cal... | John is not happy. | contradiction | ((?[X]:(rich(X)))=>(?[X]:(funny(X))))&
(![X]:((~strong(X)<~>~creative(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((~brave(X)&~rich(X))=>(~brave(X)|~rich(X))))&
(![X]:(strong(X)=>quiet(X)))&
(((rich(alice)<~>happy(alice)))=>((creative(alice)|brave(alice))))&
((?[X]:((calm(X)<~>~happy(X))))=>(?[X]:((calm(X)<~>creative(X)))))... | ~happy(john) | [
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5762246621324503761757154
% SZS output start Proof for 5762246621324503761757154
8. ! [X0] : ((~brave(X0) <~> ~tall(X0)) => ~brave(X0)) [input p7]
10. ! [X0] : ((~humble(X0) | ~brave(X0)) => (happy(X0) | tall(X0))) [input p9]
15. ! [X0] : (~wise(X0) <=> (wise(X0) & tall(X0))) [input p14]
... | 0 |
If alice is happy or not kind then someone is calm or kind.
Everyone who is not humble or kind is not strong.
Everyone who is not calm or calm is both not tall and humble and vice versa.
Everyone who is old is both not quiet and not strong.
If susan is either humble or rich then someone is both generous and curious and... | Susan is not brave. | contradiction | (((happy(alice)|~kind(alice)))=>(?[X]:((calm(X)|kind(X)))))&
(![X]:((~humble(X)|kind(X))=>~strong(X)))&
(![X]:((~calm(X)|calm(X))<=>(~tall(X)&humble(X))))&
(![X]:(old(X)=>(~quiet(X)&~strong(X))))&
(((humble(susan)<~>rich(susan)))<=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((~wise(X)|~calm(X))=>(strong(X)<~>quiet(X))))... | ~brave(susan) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4140330679691396070133675
% SZS output start Proof for 4140330679691396070133675
3. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (humble(X0) & ~tall(X0))) [input p2]
4. ! [X0] : (old(X0) => (~strong(X0) & ~quiet(X0))) [input p3]
7. ! [X0] : ((tall(X0) <~> strong(X0)) <=> (~brave(X0) | strong(X0))... | 0 |
If someone is not patient or not quiet then lucy is both wise and creative and vice versa.
If susan is either not strong or rich then paul is not funny or rich and vice versa.
Everyone who is humble or strong is rich.
If paul is not curious or brave then susan is not patient.
If someone is either not rich or not genero... | John is not creative. | contradiction | ((?[X]:((~patient(X)|~quiet(X))))<=>((wise(lucy)&creative(lucy))))&
(((~strong(susan)<~>rich(susan)))<=>((~funny(paul)|rich(paul))))&
(![X]:((humble(X)|strong(X))=>rich(X)))&
(((~curious(paul)|brave(paul)))=>(~patient(susan)))&
((?[X]:((~rich(X)<~>~generous(X))))=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:(old(X)<=>(~funn... | ~creative(john) | [
"p6",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3239583210756647326426036
% SZS output start Proof for 3239583210756647326426036
7. ! [X0] : (creative(X0) <=> (~tall(X0) | ~happy(X0))) [input p6]
15. ! [X0] : ((quiet(X0) | ~wise(X0)) => (strong(X0) | ~funny(X0))) [input p14]
16. ! [X0] : ((~creative(X0) & tall(X0)) => (quiet(X0) & funn... | 0 |
Everyone who is quiet or not rich is not happy. If someone is either not patient or not generous then someone is calm. Everyone who is generous or rich is happy and vice versa. Everyone who is calm or not generous is both not wise and old and vice versa. If john is either curious or not quiet then someone is tall or no... | Paul is not generous. | contradiction | (![X]:((quiet(X)|~rich(X))=>~happy(X)))&
((?[X]:((~patient(X)<~>~generous(X))))=>(?[X]:(calm(X))))&
(![X]:((generous(X)|rich(X))<=>happy(X)))&
(![X]:((calm(X)|~generous(X))<=>(~wise(X)&old(X))))&
(((curious(john)<~>~quiet(john)))<=>(?[X]:((tall(X)|~happy(X)))))&
(![X]:((tall(X)<~>~generous(X))<=>(tall(X)|rich(X))))&
(!... | ~generous(paul) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 812082683773403261457974
% SZS output start Proof for 812082683773403261457974
6. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (rich(X0) | tall(X0))) [input p5]
11. ! [X0] : ((tall(X0) <~> ~generous(X0)) => (tall(X0) & wise(X0))) [input p10]
23. ~generous(paul) [input hypothesis]
29. ! [X0]... | 0 |
If fred is both calm and funny then someone is not wise and vice versa.
Everyone who is either not strong or patient is not creative and vice versa.
Everyone who is not patient or humble is both humble and not wise.
If someone is kind then someone is not wise or not tall.
Everyone who is both happy and not creative is ... | Susan is tall. | entailment | (((calm(fred)&funny(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((~strong(X)<~>patient(X))<=>~creative(X)))&
(![X]:((~patient(X)|humble(X))=>(humble(X)&~wise(X))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:((happy(X)&~creative(X))=>~strong(X)))&
(![X]:(~old(X)<=>(brave(X)<~>rich(X))))&
(![X]:(~tall(X)<=>(~curiou... | tall(susan) | [
"p2",
"p7",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7183399299281379757437617
% SZS output start Proof for 7183399299281379757437617
3. ! [X0] : ((humble(X0) | ~patient(X0)) => (~wise(X0) & humble(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~generous(X0)) => (humble(X0) & generous(X0))) [input p7]
9. ! [X0] : (tall(X0) <=> ~quiet(X0)) [inp... | 0 |
Everyone who is either not rich or calm is both not happy and calm and vice versa.
If someone is not strong or not funny then someone is either not calm or funny and vice versa.
If someone is not curious or kind then john is either not patient or not wise.
If someone is both not happy and wise then someone is either no... | John is not generous. | contradiction | (![X]:((~rich(X)<~>calm(X))<=>(~happy(X)&calm(X))))&
((?[X]:((~strong(X)|~funny(X))))<=>(?[X]:((~calm(X)<~>funny(X)))))&
((?[X]:((~curious(X)|kind(X))))=>((~patient(john)<~>~wise(john))))&
((?[X]:((~happy(X)&wise(X))))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((rich(X)&~quiet(X))=>(happy(X)|~brave(X))))&
((strong(ali... | ~generous(john) | [
"p2",
"p6",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7000340541375566404187673
% SZS output start Proof for 7000340541375566404187673
3. ? [X0] : (kind(X0) | ~curious(X0)) => (~patient(john) <~> ~wise(john)) [input p2]
7. ! [X0] : ((generous(X0) <~> ~wise(X0)) <=> (~brave(X0) & humble(X0))) [input p6]
8. ! [X0] : ((~patient(X0) <~> generous... | 0 |
If someone is both not curious and not tall then someone is not strong and vice versa.
Everyone who is either strong or creative is wise and vice versa.
Everyone who is creative is not quiet or generous and vice versa.
Everyone who is not brave or curious is both not rich and not quiet and vice versa.
Everyone who is n... | John is not funny. | contradiction | ((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)<~>creative(X))<=>wise(X)))&
(![X]:(creative(X)<=>(~quiet(X)|generous(X))))&
(![X]:((~brave(X)|curious(X))<=>(~rich(X)&~quiet(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((calm(X)|wi... | ~funny(john) | [
"p2",
"p3",
"p4",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4197550081300939013448523
% SZS output start Proof for 4197550081300939013448523
3. ! [X0] : (creative(X0) <=> (generous(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (kind(X0) & ~creative(X0))) [... | 0 |
Everyone who is both old and creative is not quiet.
Everyone who is generous is not brave or not generous.
If mary is either tall or not quiet then someone is either quiet or wise and vice versa.
Everyone who is not funny is quiet.
Everyone who is both not creative and tall is either rich or humble and vice versa.
If s... | Lucy is strong. | neutral | (![X]:((old(X)&creative(X))=>~quiet(X)))&
(![X]:(generous(X)=>(~brave(X)|~generous(X))))&
(((tall(mary)<~>~quiet(mary)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:(~funny(X)=>quiet(X)))&
(![X]:((~creative(X)&tall(X))<=>(rich(X)<~>humble(X))))&
((?[X]:((~kind(X)&~happy(X))))=>((~brave(alice)|~rich(alice))))&
(![X]:((~old(... | strong(lucy) | [] | null | 0 |
Everyone who is either humble or not curious is either funny or not patient and vice versa.
Everyone who is rich is both curious and not wise.
Everyone who is both old and not brave is both happy and not humble.
Everyone who is both not creative and not generous is either patient or not humble and vice versa.
Everyone ... | John is not brave. | neutral | (![X]:((humble(X)<~>~curious(X))<=>(funny(X)<~>~patient(X))))&
(![X]:(rich(X)=>(curious(X)&~wise(X))))&
(![X]:((old(X)&~brave(X))=>(happy(X)&~humble(X))))&
(![X]:((~creative(X)&~generous(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((generous(X)|curious(X))<=>~curious(X)))&
(((~curious(lucy)|old(lucy)))<=>(?[X]:((~brave(X)... | ~brave(john) | [] | null | 0 |
If mary is both curious and not creative then fred is either kind or wise.
Everyone who is patient is humble or not brave.
Everyone who is either not tall or brave is curious.
If alice is not generous or creative then paul is quiet or kind and vice versa.
Everyone who is creative or generous is not curious or not happy... | Paul is not curious. | neutral | (((curious(mary)&~creative(mary)))=>((kind(fred)<~>wise(fred))))&
(![X]:(patient(X)=>(humble(X)|~brave(X))))&
(![X]:((~tall(X)<~>brave(X))=>curious(X)))&
(((~generous(alice)|creative(alice)))<=>((quiet(paul)|kind(paul))))&
(![X]:((creative(X)|generous(X))=>(~curious(X)|~happy(X))))&
(![X]:((~creative(X)&~wise(X))<=>~cu... | ~curious(paul) | [] | null | 0 |
If john is either wise or brave then john is not calm.
Everyone who is patient is generous or rich and vice versa.
Everyone who is both not rich and rich is not tall and vice versa.
Everyone who is kind is either humble or not rich and vice versa.
If someone is tall then paul is both not curious and not strong.
Everyon... | Lucy is curious. | entailment | (((wise(john)<~>brave(john)))=>(~calm(john)))&
(![X]:(patient(X)<=>(generous(X)|rich(X))))&
(![X]:((~rich(X)&rich(X))<=>~tall(X)))&
(![X]:(kind(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(tall(X)))=>((~curious(paul)&~strong(paul))))&
(![X]:(brave(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~brave(X)&kind(X))<=>patient(X)))&
(![... | curious(lucy) | [
"p3",
"p7",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5007676699417175274178310
% SZS output start Proof for 5007676699417175274178310
4. ! [X0] : (kind(X0) <=> (humble(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : ((humble(X0) & funny(X0)) => (~humble(X0) & ~patient(X0))) [input p7]
11. ! [X0] : ((~generous(X0) | wise(X0)) => (~patient(X0) & ~... | 0 |
Everyone who is not creative or not old is both not creative and curious and vice versa.
Everyone who is quiet is either curious or not kind.
If susan is both not creative and not humble then paul is funny or not generous.
Everyone who is calm or happy is either old or creative and vice versa.
Everyone who is either cr... | Lucy is generous. | neutral | (![X]:((~creative(X)|~old(X))<=>(~creative(X)&curious(X))))&
(![X]:(quiet(X)=>(curious(X)<~>~kind(X))))&
(((~creative(susan)&~humble(susan)))=>((funny(paul)|~generous(paul))))&
(![X]:((calm(X)|happy(X))<=>(old(X)<~>creative(X))))&
(![X]:((creative(X)<~>strong(X))<=>(brave(X)<~>funny(X))))&
(![X]:(~old(X)<=>(patient(X)&... | generous(lucy) | [] | null | 0 |
If someone is not quiet or not old then john is kind and vice versa.
If mary is happy then someone is not creative or humble and vice versa.
Everyone who is either not generous or patient is both not wise and not humble and vice versa.
If paul is both generous and not curious then fred is not patient or funny.
Everyone... | Susan is not humble. | entailment | ((?[X]:((~quiet(X)|~old(X))))<=>(kind(john)))&
((happy(mary))<=>(?[X]:((~creative(X)|humble(X)))))&
(![X]:((~generous(X)<~>patient(X))<=>(~wise(X)&~humble(X))))&
(((generous(paul)&~curious(paul)))=>((~patient(fred)|funny(fred))))&
(![X]:((~calm(X)<~>rich(X))=>(funny(X)<~>humble(X))))&
(![X]:(happy(X)=>(~humble(X)&~quie... | ~humble(susan) | [
"p1",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8518738971493527027517962
% SZS output start Proof for 8518738971493527027517962
2. happy(mary) <=> ? [X0] : (humble(X0) | ~creative(X0)) [input p1]
6. ! [X0] : (happy(X0) => (~quiet(X0) & ~humble(X0))) [input p5]
23. brave(mary) & quiet(mary) [input p22]
25. humble(susan) [input hypothes... | 0 |
If someone is either happy or humble then someone is not patient and vice versa. If paul is both not calm and old then someone is both not generous and not kind and vice versa. Everyone who is curious or wise is rich or calm. If someone is not calm or tall then paul is curious and vice versa. Everyone who is rich is ei... | Mary is not tall. | entailment | ((?[X]:((happy(X)<~>humble(X))))<=>(?[X]:(~patient(X))))&
(((~calm(paul)&old(paul)))<=>(?[X]:((~generous(X)&~kind(X)))))&
(![X]:((curious(X)|wise(X))=>(rich(X)|calm(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(curious(paul)))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((wise(fred)&humble(fred)))=>((~strong(alice)<~>tall(ali... | ~tall(mary) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 872114229275081626046483
% SZS output start Proof for 872114229275081626046483
8. ! [X0] : (~calm(X0) <=> (~quiet(X0) & ~tall(X0))) [input p7]
13. ! [X0] : ((~wise(X0) | wise(X0)) <=> ~calm(X0)) [input p12]
24. tall(mary) [input hypothesis]
58. ! [X0] : ((~calm(X0) | (quiet(X0) | tall(X0)... | 0 |
If paul is not creative or not rich then alice is either not calm or not kind. If someone is calm or old then alice is either not funny or not curious. Everyone who is not funny is not kind or old. If paul is both not creative and strong then someone is either happy or not kind and vice versa. If someone is both funny ... | Paul is not rich. | contradiction | (((~creative(paul)|~rich(paul)))=>((~calm(alice)<~>~kind(alice))))&
((?[X]:((calm(X)|old(X))))=>((~funny(alice)<~>~curious(alice))))&
(![X]:(~funny(X)=>(~kind(X)|old(X))))&
(((~creative(paul)&strong(paul)))<=>(?[X]:((happy(X)<~>~kind(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((humble(X)&~strong(X)))))&
((?[X]:(cal... | ~rich(paul) | [
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7428676975073269140974863
% SZS output start Proof for 7428676975073269140974863
11. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p10]
12. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p11]
13. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [i... | 0 |
Everyone who is not strong or quiet is rich or strong and vice versa.
If fred is brave or generous then susan is either kind or rich.
Everyone who is old or tall is kind and vice versa.
Everyone who is both wise and not humble is kind and vice versa.
If john is funny or not curious then someone is both not calm and not... | Susan is not humble. | contradiction | (![X]:((~strong(X)|quiet(X))<=>(rich(X)|strong(X))))&
(((brave(fred)|generous(fred)))=>((kind(susan)<~>rich(susan))))&
(![X]:((old(X)|tall(X))<=>kind(X)))&
(![X]:((wise(X)&~humble(X))<=>kind(X)))&
(((funny(john)|~curious(john)))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(creative(X)<~>tall(X))... | ~humble(susan) | [
"p5",
"p8",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 67612277499109552745554
% SZS output start Proof for 67612277499109552745554
6. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (creative(X0) <~> tall(X0))) [input p5]
9. ! [X0] : (funny(X0) <=> ~humble(X0)) [input p8]
14. ! [X0] : (tall(X0) <=> (generous(X0) | ~curious(X0))) [input p13]
15. ! ... | 0 |
If someone is both not old and not humble then susan is not strong. If lucy is either not tall or not wise then fred is not kind or not old. Everyone who is brave or wise is both humble and not curious and vice versa. Everyone who is curious is both not wise and strong. Everyone who is both not quiet and wise is either... | Mary is strong. | entailment | ((?[X]:((~old(X)&~humble(X))))=>(~strong(susan)))&
(((~tall(lucy)<~>~wise(lucy)))=>((~kind(fred)|~old(fred))))&
(![X]:((brave(X)|wise(X))<=>(humble(X)&~curious(X))))&
(![X]:(curious(X)=>(~wise(X)&strong(X))))&
(![X]:((~quiet(X)&wise(X))<=>(old(X)<~>happy(X))))&
((funny(mary))<=>(?[X]:((~patient(X)|~creative(X)))))&
(((... | strong(mary) | [
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6753887871876204205238696
% SZS output start Proof for 6753887871876204205238696
20. curious(mary) & funny(mary) [input p19]
23. ~funny(mary) <~> strong(mary) [input p22]
25. ~strong(mary) [input hypothesis]
75. (~strong(mary) | funny(mary)) & (strong(mary) | ~funny(mary)) [nnf transforma... | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either calm or not quiet is not creative or funny and vice versa. If alice is either not quiet or not wise then john is both wise and curious. If someone is not old or not wise then someone is not kind and vice versa. Everyone who is either not hu... | Susan is funny. | entailment | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![... | funny(susan) | [
"p0",
"p1",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8986454706427697250511448
% SZS output start Proof for 8986454706427697250511448
1. ! [X0] : ((~calm(X0) & ~funny(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : ((calm(X0) <~> ~quiet(X0)) <=> (funny(X0) | ~creative(X0))) [input p1]
13. ! [X0] : ((strong(X0) | patient(X0)) <=> rich(X0)) [input ... | 0 |
If someone is either not generous or rich then someone is humble.
Everyone who is old is either not quiet or curious and vice versa.
If someone is generous then someone is not creative and vice versa.
Everyone who is brave or not patient is not tall.
Everyone who is either not patient or not funny is not rich or not pa... | Lucy is not funny. | contradiction | ((?[X]:((~generous(X)<~>rich(X))))=>(?[X]:(humble(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~creative(X))))&
(![X]:((brave(X)|~patient(X))=>~tall(X)))&
(![X]:((~patient(X)<~>~funny(X))=>(~rich(X)|~patient(X))))&
(![X]:((wise(X)&~patient(X))=>(~generous(X)|~curious(X))))&
((~quiet... | ~funny(lucy) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6053474259144016498453219
% SZS output start Proof for 6053474259144016498453219
9. ! [X0] : ((~tall(X0) | wise(X0)) <=> tall(X0)) [input p8]
11. (brave(lucy) | ~funny(lucy)) => ~wise(susan) [input p10]
24. ~funny(lucy) [input hypothesis]
36. ~wise(susan) | (~brave(lucy) & funny(lucy)) [e... | 0 |
If someone is not strong or generous then fred is not brave or funny.
If someone is not tall or not generous then mary is both strong and not wise and vice versa.
Everyone who is brave is either quiet or wise and vice versa.
Everyone who is kind is either not calm or curious.
Everyone who is not humble or not quiet is ... | Alice is quiet. | entailment | ((?[X]:((~strong(X)|generous(X))))=>((~brave(fred)|funny(fred))))&
((?[X]:((~tall(X)|~generous(X))))<=>((strong(mary)&~wise(mary))))&
(![X]:(brave(X)<=>(quiet(X)<~>wise(X))))&
(![X]:(kind(X)=>(~calm(X)<~>curious(X))))&
(![X]:((~humble(X)|~quiet(X))<=>kind(X)))&
(((wise(mary)&happy(mary)))<=>((generous(alice)|~humble(al... | quiet(alice) | [
"p1",
"p4",
"p5",
"p7",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4741811844301333137917528
% SZS output start Proof for 4741811844301333137917528
2. ? [X0] : (~generous(X0) | ~tall(X0)) <=> (~wise(mary) & strong(mary)) [input p1]
5. ! [X0] : ((~quiet(X0) | ~humble(X0)) <=> kind(X0)) [input p4]
6. (happy(mary) & wise(mary)) <=> (~humble(alice) | generou... | 0 |
If someone is both funny and generous then john is kind or brave.
Everyone who is both not calm and not happy is not brave and vice versa.
Everyone who is not funny is both not funny and calm.
If mary is not brave or not patient then mary is either kind or not creative and vice versa.
Everyone who is either not happy o... | Alice is not rich. | contradiction | ((?[X]:((funny(X)&generous(X))))=>((kind(john)|brave(john))))&
(![X]:((~calm(X)&~happy(X))<=>~brave(X)))&
(![X]:(~funny(X)=>(~funny(X)&calm(X))))&
(((~brave(mary)|~patient(mary)))<=>((kind(mary)<~>~creative(mary))))&
(![X]:((~happy(X)<~>~strong(X))<=>(kind(X)<~>~calm(X))))&
(((~curious(john)<~>calm(john)))<=>(funny(ali... | ~rich(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 279170348462112770981275
% SZS output start Proof for 279170348462112770981275
8. ! [X0] : ((~happy(X0) | happy(X0)) => (~creative(X0) & rich(X0))) [input p7]
25. ~rich(alice) [input hypothesis]
30. ! [X0] : ((~creative(X0) & rich(X0)) | (happy(X0) & ~happy(X0))) [ennf transformation 8]
1... | 0 |
Everyone who is not happy is both wise and not happy and vice versa. If paul is either kind or wise then someone is both generous and not humble. Everyone who is both not rich and not quiet is either not brave or creative and vice versa. If someone is quiet then lucy is both happy and not happy and vice versa. Everyone... | Susan is humble. | contradiction | (![X]:(~happy(X)<=>(wise(X)&~happy(X))))&
(((kind(paul)<~>wise(paul)))=>(?[X]:((generous(X)&~humble(X)))))&
(![X]:((~rich(X)&~quiet(X))<=>(~brave(X)<~>creative(X))))&
((?[X]:(quiet(X)))<=>((happy(lucy)&~happy(lucy))))&
(![X]:((~tall(X)|~wise(X))=>(funny(X)&old(X))))&
(((~quiet(fred)|~kind(fred)))<=>((~wise(paul)<~>~cur... | humble(susan) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6952531102796758696182734
% SZS output start Proof for 6952531102796758696182734
4. ? [X0] : quiet(X0) <=> (~happy(lucy) & happy(lucy)) [input p3]
5. ! [X0] : ((~wise(X0) | ~tall(X0)) => (old(X0) & funny(X0))) [input p4]
7. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) | ~tall(X0))) ... | 0 |
If someone is both humble and tall then john is either funny or generous. If fred is both wise and humble then someone is brave and vice versa. Everyone who is curious or wise is either curious or not strong and vice versa. Everyone who is kind or tall is either quiet or not rich and vice versa. Everyone who is both no... | Susan is quiet. | contradiction | ((?[X]:((humble(X)&tall(X))))=>((funny(john)<~>generous(john))))&
(((wise(fred)&humble(fred)))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)|wise(X))<=>(curious(X)<~>~strong(X))))&
(![X]:((kind(X)|tall(X))<=>(quiet(X)<~>~rich(X))))&
(![X]:((~funny(X)&quiet(X))=>(~strong(X)&tall(X))))&
(![X]:((~happy(X)<~>~patient(X))=>(calm... | quiet(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6321734196182395983383947
% SZS output start Proof for 6321734196182395983383947
17. happy(susan) & ~quiet(susan) [input p16]
24. quiet(susan) [input hypothesis]
129. ~quiet(susan) [cnf transformation 17]
140. quiet(susan) [cnf transformation 24]
294. $false [subsumption resolution 140,12... | 0 |
If lucy is not tall then mary is not creative and vice versa. Everyone who is both not tall and strong is not quiet or not funny and vice versa. If mary is not curious or kind then fred is both creative and funny. Everyone who is generous is either happy or not quiet and vice versa. If paul is happy then john is quiet ... | Paul is not funny. | contradiction | ((~tall(lucy))<=>(~creative(mary)))&
(![X]:((~tall(X)&strong(X))<=>(~quiet(X)|~funny(X))))&
(((~curious(mary)|kind(mary)))=>((creative(fred)&funny(fred))))&
(![X]:(generous(X)<=>(happy(X)<~>~quiet(X))))&
((happy(paul))<=>(quiet(john)))&
(![X]:((~calm(X)&~kind(X))=>funny(X)))&
(![X]:((~strong(X)|~rich(X))=>(~humble(X)|p... | ~funny(paul) | [
"p1",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6494216264439688982203157
% SZS output start Proof for 6494216264439688982203157
2. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p1]
8. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (~curious(X0) & ~funny(X0))) [input p7]
9. ! [X0] : ((humble(X0) & curious(X0)) <=> (~h... | 0 |
Everyone who is either funny or creative is both brave and curious. If lucy is funny then someone is either not rich or not kind. Everyone who is either not quiet or quiet is rich and vice versa. Everyone who is creative is tall and vice versa. Everyone who is either not old or brave is both not funny and funny and vic... | Susan is quiet. | entailment | (![X]:((funny(X)<~>creative(X))=>(brave(X)&curious(X))))&
((funny(lucy))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((~quiet(X)<~>quiet(X))<=>rich(X)))&
(![X]:(creative(X)<=>tall(X)))&
(![X]:((~old(X)<~>brave(X))<=>(~funny(X)&funny(X))))&
(![X]:((funny(X)|strong(X))=>(~happy(X)&~brave(X))))&
(![X]:((strong(X)&rich(X))<=>(... | quiet(susan) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8488758673274179257129543
% SZS output start Proof for 8488758673274179257129543
3. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> rich(X0)) [input p2]
4. ! [X0] : (creative(X0) <=> tall(X0)) [input p3]
5. ! [X0] : ((~old(X0) <~> brave(X0)) <=> (funny(X0) & ~funny(X0))) [input p4]
6. ! [X0] : (... | 0 |
If lucy is either not generous or not calm then mary is not brave. If someone is strong then mary is either funny or not tall and vice versa. Everyone who is both calm and tall is not happy and vice versa. Everyone who is kind or humble is both tall and not calm. Everyone who is not old is not patient. If susan is tall... | Mary is not happy. | contradiction | (((~generous(lucy)<~>~calm(lucy)))=>(~brave(mary)))&
((?[X]:(strong(X)))<=>((funny(mary)<~>~tall(mary))))&
(![X]:((calm(X)&tall(X))<=>~happy(X)))&
(![X]:((kind(X)|humble(X))=>(tall(X)&~calm(X))))&
(![X]:(~old(X)=>~patient(X)))&
((tall(susan))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((~tall(mary)<~>~brave(mary)))=>(?[X]:(... | ~happy(mary) | [
"p2",
"p3",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4614031989245927461987707
% SZS output start Proof for 4614031989245927461987707
3. ! [X0] : ((tall(X0) & calm(X0)) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((humble(X0) | kind(X0)) => (~calm(X0) & tall(X0))) [input p3]
10. ! [X0] : (generous(X0) => (rich(X0) & ~tall(X0))) [input p9]
11. hu... | 0 |
If someone is not funny then someone is not creative or not brave and vice versa. Everyone who is generous is calm or strong and vice versa. If lucy is not tall then someone is not brave or kind. Everyone who is tall or not brave is not kind or not humble and vice versa. Everyone who is not humble is not quiet or not s... | Mary is not brave. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(generous(X)<=>(calm(X)|strong(X))))&
((~tall(lucy))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((tall(X)|~brave(X))<=>(~kind(X)|~humble(X))))&
(![X]:(~humble(X)<=>(~quiet(X)|~strong(X))))&
((?[X]:((patient(X)|humble(X))))<=>((quiet(john)<~>patient(john))))&
((... | ~brave(mary) | [
"p1",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7499985468205437154434152
% SZS output start Proof for 7499985468205437154434152
2. ! [X0] : (generous(X0) <=> (strong(X0) | calm(X0))) [input p1]
10. ! [X0] : ((~happy(X0) | ~brave(X0)) => old(X0)) [input p9]
11. ! [X0] : ((wise(X0) <~> curious(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p... | 0 |
If fred is either calm or humble then someone is not funny or brave and vice versa. If susan is both tall and not quiet then someone is not rich or not generous and vice versa. If lucy is both wise and tall then someone is funny or not strong and vice versa. Everyone who is not tall or not humble is both not strong and... | Lucy is not brave. | neutral | (((calm(fred)<~>humble(fred)))<=>(?[X]:((~funny(X)|brave(X)))))&
(((tall(susan)&~quiet(susan)))<=>(?[X]:((~rich(X)|~generous(X)))))&
(((wise(lucy)&tall(lucy)))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((~tall(X)|~humble(X))<=>(~strong(X)&humble(X))))&
((kind(susan))=>((~brave(john)&~calm(john))))&
(![X]:(~old(X)<=>(gen... | ~brave(lucy) | [] | null | 0 |
Everyone who is generous is both curious and not tall.
Everyone who is either not creative or tall is either happy or not wise and vice versa.
Everyone who is curious is not old and vice versa.
Everyone who is both not humble and not funny is either funny or kind and vice versa.
If paul is both brave and not creative t... | Lucy is not funny. | neutral | (![X]:(generous(X)=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)<~>tall(X))<=>(happy(X)<~>~wise(X))))&
(![X]:(curious(X)<=>~old(X)))&
(![X]:((~humble(X)&~funny(X))<=>(funny(X)<~>kind(X))))&
(((brave(paul)&~creative(paul)))=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((~tall(X)&funny(X))<=>(~quiet(X)&calm(X))))&
(![X]:(wi... | ~funny(lucy) | [] | null | 0 |
Everyone who is either creative or strong is happy or not wise.
Everyone who is either not rich or not humble is either rich or wise and vice versa.
Everyone who is humble or not generous is brave and vice versa.
If alice is both funny and not happy then lucy is both not creative and strong.
If fred is both curious and... | Paul is brave. | entailment | (![X]:((creative(X)<~>strong(X))=>(happy(X)|~wise(X))))&
(![X]:((~rich(X)<~>~humble(X))<=>(rich(X)<~>wise(X))))&
(![X]:((humble(X)|~generous(X))<=>brave(X)))&
(((funny(alice)&~happy(alice)))=>((~creative(lucy)&strong(lucy))))&
(((curious(fred)&~humble(fred)))=>(?[X]:((curious(X)|~happy(X)))))&
((?[X]:((~curious(X)<~>~q... | brave(paul) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2401391046549451986879617
% SZS output start Proof for 2401391046549451986879617
3. ! [X0] : ((~generous(X0) | humble(X0)) <=> brave(X0)) [input p2]
23. humble(paul) [input p22]
25. ~brave(paul) [input hypothesis]
39. ! [X0] : (((~generous(X0) | humble(X0)) | ~brave(X0)) & (brave(X0) | (g... | 0 |
Everyone who is humble is tall or funny.
Everyone who is not funny is both not kind and humble.
Everyone who is not tall is both happy and not creative and vice versa.
If alice is patient or strong then someone is either kind or not patient and vice versa.
Everyone who is calm or creative is not tall or creative and vi... | Mary is tall. | entailment | (![X]:(humble(X)=>(tall(X)|funny(X))))&
(![X]:(~funny(X)=>(~kind(X)&humble(X))))&
(![X]:(~tall(X)<=>(happy(X)&~creative(X))))&
(((patient(alice)|strong(alice)))<=>(?[X]:((kind(X)<~>~patient(X)))))&
(![X]:((calm(X)|creative(X))<=>(~tall(X)|creative(X))))&
(![X]:((humble(X)|~tall(X))=>(kind(X)&~calm(X))))&
(((~calm(alice... | tall(mary) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1933433489560245132454706
% SZS output start Proof for 1933433489560245132454706
3. ! [X0] : (~tall(X0) <=> (~creative(X0) & happy(X0))) [input p2]
5. ! [X0] : ((creative(X0) | calm(X0)) <=> (creative(X0) | ~tall(X0))) [input p4]
6. ! [X0] : ((~tall(X0) | humble(X0)) => (~calm(X0) & kind(... | 0 |
Everyone who is either old or not wise is either quiet or generous.
Everyone who is not generous is not humble or not tall and vice versa.
Everyone who is either creative or not curious is both not brave and not patient and vice versa.
Everyone who is both funny and not calm is not happy or kind and vice versa.
Everyon... | Susan is not happy. | contradiction | (![X]:((old(X)<~>~wise(X))=>(quiet(X)<~>generous(X))))&
(![X]:(~generous(X)<=>(~humble(X)|~tall(X))))&
(![X]:((creative(X)<~>~curious(X))<=>(~brave(X)&~patient(X))))&
(![X]:((funny(X)&~calm(X))<=>(~happy(X)|kind(X))))&
(![X]:((~brave(X)&rich(X))<=>~wise(X)))&
(![X]:((kind(X)&patient(X))<=>(strong(X)&~brave(X))))&
((?[X... | ~happy(susan) | [
"p1",
"p4",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5652870081944310778375069
% SZS output start Proof for 5652870081944310778375069
2. ! [X0] : (~generous(X0) <=> (~tall(X0) | ~humble(X0))) [input p1]
5. ! [X0] : ((rich(X0) & ~brave(X0)) <=> ~wise(X0)) [input p4]
8. ! [X0] : (~happy(X0) => (tall(X0) <~> ~wise(X0))) [input p7]
12. ! [X0] :... | 0 |
Everyone who is patient or not kind is not funny or not humble and vice versa. Everyone who is both not calm and not patient is both generous and tall. Everyone who is curious is rich. If paul is both kind and not wise then mary is both not strong and generous and vice versa. Everyone who is not happy or brave is eithe... | Susan is generous. | contradiction | (![X]:((patient(X)|~kind(X))<=>(~funny(X)|~humble(X))))&
(![X]:((~calm(X)&~patient(X))=>(generous(X)&tall(X))))&
(![X]:(curious(X)=>rich(X)))&
(((kind(paul)&~wise(paul)))<=>((~strong(mary)&generous(mary))))&
(![X]:((~happy(X)|brave(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~old(X)|strong(X))<=>(creative(X)&curious(X))))&
(... | generous(susan) | [
"p2",
"p5",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8541935264873672876542618
% SZS output start Proof for 8541935264873672876542618
3. ! [X0] : (curious(X0) => rich(X0)) [input p2]
6. ! [X0] : ((strong(X0) | ~old(X0)) <=> (curious(X0) & creative(X0))) [input p5]
12. ! [X0] : ((~rich(X0) <~> ~old(X0)) => (~curious(X0) <~> generous(X0))) [i... | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa.
Everyone who is both tall and wise is not happy and vice versa.
Everyone who is brave or generous is not wise or kind and vice versa.
Everyone who is patient is not curious or strong.
Everyone who is either not funny or creative ... | Susan is tall. | entailment | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&wise(X))<=>~happy(X)))&
(![X]:((brave(X)|generous(X))<=>(~wise(X)|kind(X))))&
(![X]:(patient(X)=>(~curious(X)|strong(X))))&
(![X]:((~funny(X)<~>creative(X))<=>(kind(X)<~>~kind(X))))&
((old(mary))=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:((~tall(X... | tall(susan) | [
"p0",
"p4",
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8530978156685628349631171
% SZS output start Proof for 8530978156685628349631171
1. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (curious(X0) <~> ~generous(X0))) [input p0]
5. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
7. ! [X0] : ((calm(X0) & ~tall(X0)) =>... | 0 |
Everyone who is happy is old and vice versa.
Everyone who is not brave is funny and vice versa.
If susan is both humble and patient then someone is not rich.
Everyone who is humble or not creative is both not brave and tall and vice versa.
If someone is tall then mary is either calm or strong.
Everyone who is curious i... | Mary is not quiet. | entailment | (![X]:(happy(X)<=>old(X)))&
(![X]:(~brave(X)<=>funny(X)))&
(((humble(susan)&patient(susan)))=>(?[X]:(~rich(X))))&
(![X]:((humble(X)|~creative(X))<=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X)))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((kind(X)|old(X))<=... | ~quiet(mary) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2698812808335052193662330
% SZS output start Proof for 2698812808335052193662330
4. ! [X0] : ((~creative(X0) | humble(X0)) <=> (tall(X0) & ~brave(X0))) [input p3]
7. ! [X0] : ((~kind(X0) & brave(X0)) <=> quiet(X0)) [input p6]
12. ! [X0] : (humble(X0) <=> (brave(X0) | rich(X0))) [input p11... | 0 |
If mary is not patient or not rich then susan is wise and vice versa. If someone is wise then mary is not wise and vice versa. If someone is creative then someone is not tall and vice versa. Everyone who is not kind or not funny is brave or not calm and vice versa. Everyone who is both happy and not tall is not old. Ev... | Alice is not kind. | neutral | (((~patient(mary)|~rich(mary)))<=>(wise(susan)))&
((?[X]:(wise(X)))<=>(~wise(mary)))&
((?[X]:(creative(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~kind(X)|~funny(X))<=>(brave(X)|~calm(X))))&
(![X]:((happy(X)&~tall(X))=>~old(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(patient(X)|~humble(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))... | ~kind(alice) | [] | null | 0 |
If someone is either not calm or not generous then paul is either quiet or not quiet.
If fred is both curious and wise then alice is not generous or not funny and vice versa.
Everyone who is both calm and happy is not patient.
Everyone who is brave is humble and vice versa.
Everyone who is not strong or calm is either ... | Alice is funny. | entailment | ((?[X]:((~calm(X)<~>~generous(X))))=>((quiet(paul)<~>~quiet(paul))))&
(((curious(fred)&wise(fred)))<=>((~generous(alice)|~funny(alice))))&
(![X]:((calm(X)&happy(X))=>~patient(X)))&
(![X]:(brave(X)<=>humble(X)))&
(![X]:((~strong(X)|calm(X))<=>(brave(X)<~>generous(X))))&
((?[X]:(tall(X)))=>((curious(fred)<~>~old(fred))))... | funny(alice) | [
"p6",
"p7",
"p8",
"p9",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5328211890166586330720625
% SZS output start Proof for 5328211890166586330720625
7. ! [X0] : ((~wise(X0) & ~strong(X0)) <=> ~funny(X0)) [input p6]
8. ! [X0] : (happy(X0) => (strong(X0) & ~quiet(X0))) [input p7]
9. ! [X0] : ((humble(X0) | tall(X0)) <=> ~creative(X0)) [input p8]
10. ! [X0] ... | 0 |
If someone is either not creative or not old then mary is both creative and not patient and vice versa.
Everyone who is not generous is not quiet and vice versa.
Everyone who is either strong or not old is both not humble and strong.
If someone is not funny or not kind then someone is not creative and vice versa.
Every... | John is not funny. | entailment | ((?[X]:((~creative(X)<~>~old(X))))<=>((creative(mary)&~patient(mary))))&
(![X]:(~generous(X)<=>~quiet(X)))&
(![X]:((strong(X)<~>~old(X))=>(~humble(X)&strong(X))))&
((?[X]:((~funny(X)|~kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)|old(X))<=>(curious(X)<~>~creative(X))))&
((?[X]:(~brave(X)))<=>((tall(john)&~funn... | ~funny(john) | [
"p0",
"p5",
"p11",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1625760758443184168648310
% SZS output start Proof for 1625760758443184168648310
1. ? [X0] : (~creative(X0) <~> ~old(X0)) <=> (~patient(mary) & creative(mary)) [input p0]
6. ? [X0] : ~brave(X0) <=> (~funny(john) & tall(john)) [input p5]
12. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (cu... | 0 |
Everyone who is either not happy or not old is either brave or not happy and vice versa.
Everyone who is either quiet or tall is not happy or not humble and vice versa.
Everyone who is not generous or not kind is both generous and creative and vice versa.
Everyone who is both old and not strong is both humble and old a... | Lucy is not humble. | contradiction | (![X]:((~happy(X)<~>~old(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((quiet(X)<~>tall(X))<=>(~happy(X)|~humble(X))))&
(![X]:((~generous(X)|~kind(X))<=>(generous(X)&creative(X))))&
(![X]:((old(X)&~strong(X))<=>(humble(X)&old(X))))&
(![X]:(~kind(X)=>(~rich(X)<~>humble(X))))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:(funny(X)<=>(... | ~humble(lucy) | [
"p0",
"p1",
"p2",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 308387659545868960970593
% SZS output start Proof for 308387659545868960970593
1. ! [X0] : ((~happy(X0) <~> ~old(X0)) <=> (brave(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((quiet(X0) <~> tall(X0)) <=> (~humble(X0) | ~happy(X0))) [input p1]
3. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (c... | 0 |
Everyone who is not brave is either not brave or not happy and vice versa.
If fred is both not creative and wise then someone is either not wise or not old.
Everyone who is calm or happy is either patient or not patient.
If someone is both patient and generous then someone is both brave and not generous.
If someone is ... | Alice is curious. | contradiction | (![X]:(~brave(X)<=>(~brave(X)<~>~happy(X))))&
(((~creative(fred)&wise(fred)))=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((calm(X)|happy(X))=>(patient(X)<~>~patient(X))))&
((?[X]:((patient(X)&generous(X))))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~curious(alice)<~>old(alice))))&
(![X]:((~w... | curious(alice) | [
"p0",
"p5",
"p7",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8418661287689156048221680
% SZS output start Proof for 8418661287689156048221680
1. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> ~happy(X0))) [input p0]
6. ! [X0] : ((~humble(X0) & ~wise(X0)) <=> (~kind(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~brave(X0) | ~rich(X0)) => (~happy(X0) & fun... | 0 |
Everyone who is either tall or generous is both brave and generous and vice versa. Everyone who is not rich is both not strong and not humble and vice versa. If fred is both funny and brave then someone is either wise or generous. Everyone who is either not calm or not generous is both calm and not generous and vice ve... | Fred is not curious. | contradiction | (![X]:((tall(X)<~>generous(X))<=>(brave(X)&generous(X))))&
(![X]:(~rich(X)<=>(~strong(X)&~humble(X))))&
(((funny(fred)&brave(fred)))=>(?[X]:((wise(X)<~>generous(X)))))&
(![X]:((~calm(X)<~>~generous(X))<=>(calm(X)&~generous(X))))&
(![X]:(funny(X)=>(~kind(X)&calm(X))))&
(((~strong(fred)|~generous(fred)))=>(?[X]:((tall(X)... | ~curious(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8319620706796015439792896
% SZS output start Proof for 8319620706796015439792896
1. ! [X0] : ((tall(X0) <~> generous(X0)) <=> (generous(X0) & brave(X0))) [input p0]
2. ! [X0] : (~rich(X0) <=> (~humble(X0) & ~strong(X0))) [input p1]
4. ! [X0] : ((~calm(X0) <~> ~generous(X0)) <=> (~generous... | 0 |
If fred is either not generous or tall then susan is both not tall and not patient and vice versa.
If susan is not happy or not curious then someone is kind or not curious.
Everyone who is both not wise and not tall is strong.
Everyone who is either calm or not calm is both not wise and rich.
Everyone who is not wise o... | Fred is not quiet. | contradiction | (((~generous(fred)<~>tall(fred)))<=>((~tall(susan)&~patient(susan))))&
(((~happy(susan)|~curious(susan)))=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((~wise(X)&~tall(X))=>strong(X)))&
(![X]:((calm(X)<~>~calm(X))=>(~wise(X)&rich(X))))&
(![X]:((~wise(X)|curious(X))<=>happy(X)))&
(![X]:((~old(X)|~funny(X))<=>~generous(X)))&
... | ~quiet(fred) | [
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6294090837991780492286261
% SZS output start Proof for 6294090837991780492286261
4. ! [X0] : ((calm(X0) <~> ~calm(X0)) => (rich(X0) & ~wise(X0))) [input p3]
8. ! [X0] : ((wise(X0) | brave(X0)) <=> ~rich(X0)) [input p7]
12. ! [X0] : ((quiet(X0) & calm(X0)) <=> ~brave(X0)) [input p11]
22. ~... | 0 |
If susan is not generous then someone is not rich and vice versa. If alice is both not rich and not happy then someone is not patient or not curious and vice versa. If mary is both not tall and quiet then someone is not creative or not happy. If mary is both not funny and not generous then someone is funny or patient a... | Alice is not happy. | entailment | ((~generous(susan))<=>(?[X]:(~rich(X))))&
(((~rich(alice)&~happy(alice)))<=>(?[X]:((~patient(X)|~curious(X)))))&
(((~tall(mary)&quiet(mary)))=>(?[X]:((~creative(X)|~happy(X)))))&
(((~funny(mary)&~generous(mary)))<=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((generous(X)&old(X))<=>(~happy(X)&~curious(X))))&
(![X]:((~genero... | ~happy(alice) | [
"p1",
"p8",
"p9",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3894067402775415106180036
% SZS output start Proof for 3894067402775415106180036
2. (~happy(alice) & ~rich(alice)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p1]
9. ! [X0] : ((~quiet(X0) <~> happy(X0)) => (wise(X0) & old(X0))) [input p8]
10. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (... | 0 |
Everyone who is either not tall or kind is not old or strong. Everyone who is both not humble and not creative is not patient or old. If susan is both not old and not tall then someone is both not happy and old. Everyone who is patient or rich is not patient and vice versa. If mary is not generous or patient then someo... | Susan is quiet. | neutral | (![X]:((~tall(X)<~>kind(X))=>(~old(X)|strong(X))))&
(![X]:((~humble(X)&~creative(X))=>(~patient(X)|old(X))))&
(((~old(susan)&~tall(susan)))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((patient(X)|rich(X))<=>~patient(X)))&
(((~generous(mary)|patient(mary)))=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((~generous(X)|strong(X))=>(r... | quiet(susan) | [] | null | 0 |
If alice is either not brave or patient then someone is either kind or not creative and vice versa.
If lucy is humble or not patient then paul is either old or happy.
Everyone who is both quiet and not kind is either not kind or not humble and vice versa.
Everyone who is not tall is strong and vice versa.
Everyone who ... | Susan is patient. | neutral | (((~brave(alice)<~>patient(alice)))<=>(?[X]:((kind(X)<~>~creative(X)))))&
(((humble(lucy)|~patient(lucy)))=>((old(paul)<~>happy(paul))))&
(![X]:((quiet(X)&~kind(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:(~tall(X)<=>strong(X)))&
(![X]:((old(X)|~kind(X))<=>brave(X)))&
(![X]:((~brave(X)&~calm(X))=>curious(X)))&
((?[X]:(creat... | patient(susan) | [] | null | 0 |
Everyone who is either calm or quiet is not tall or not brave and vice versa.
Everyone who is calm is not patient and vice versa.
If mary is either not strong or not tall then john is both old and not old.
Everyone who is both not creative and funny is strong or rich.
Everyone who is both wise and strong is not creativ... | Mary is wise. | entailment | (![X]:((calm(X)<~>quiet(X))<=>(~tall(X)|~brave(X))))&
(![X]:(calm(X)<=>~patient(X)))&
(((~strong(mary)<~>~tall(mary)))=>((old(john)&~old(john))))&
(![X]:((~creative(X)&funny(X))=>(strong(X)|rich(X))))&
(![X]:((wise(X)&strong(X))<=>~creative(X)))&
(![X]:((brave(X)<~>happy(X))=>~rich(X)))&
(![X]:((creative(X)|~kind(X))=>... | wise(mary) | [
"p0",
"p2",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8024786551790564643304899
% SZS output start Proof for 8024786551790564643304899
1. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> (~brave(X0) | ~tall(X0))) [input p0]
3. (~strong(mary) <~> ~tall(mary)) => (~old(john) & old(john)) [input p2]
5. ! [X0] : ((strong(X0) & wise(X0)) <=> ~creative(X0))... | 0 |
Everyone who is either not brave or quiet is both happy and wise.
If someone is quiet then someone is both not generous and not tall and vice versa.
If someone is both not old and brave then someone is both humble and curious and vice versa.
If someone is both not happy and funny then alice is both wise and brave.
If j... | Susan is not happy. | neutral | (![X]:((~brave(X)<~>quiet(X))=>(happy(X)&wise(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~generous(X)&~tall(X)))))&
((?[X]:((~old(X)&brave(X))))<=>(?[X]:((humble(X)&curious(X)))))&
((?[X]:((~happy(X)&funny(X))))=>((wise(alice)&brave(alice))))&
(((brave(john)<~>happy(john)))<=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((~quiet(X... | ~happy(susan) | [] | null | 0 |
If someone is either not kind or not humble then someone is calm or not rich and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative.
Eve... | Lucy is not creative. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creat... | ~creative(lucy) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1509511978346873273242103
% SZS output start Proof for 1509511978346873273242103
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
8. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> g... | 0 |
If someone is not curious or patient then john is funny. If john is both humble and not brave then john is not brave or not curious and vice versa. If susan is not creative or not tall then mary is either patient or funny. If someone is not brave or tall then someone is either not funny or not tall and vice versa. If f... | Lucy is tall. | neutral | ((?[X]:((~curious(X)|patient(X))))=>(funny(john)))&
(((humble(john)&~brave(john)))<=>((~brave(john)|~curious(john))))&
(((~creative(susan)|~tall(susan)))=>((patient(mary)<~>funny(mary))))&
((?[X]:((~brave(X)|tall(X))))<=>(?[X]:((~funny(X)<~>~tall(X)))))&
(((strong(fred)<~>curious(fred)))=>(?[X]:(brave(X))))&
(![X]:(kin... | tall(lucy) | [] | null | 0 |
Everyone who is curious is either quiet or not happy and vice versa.
If someone is funny then paul is either not funny or not creative and vice versa.
Everyone who is both not tall and old is creative or not brave and vice versa.
If someone is either brave or not happy then someone is not patient.
If lucy is either not... | Fred is not tall. | neutral | (![X]:(curious(X)<=>(quiet(X)<~>~happy(X))))&
((?[X]:(funny(X)))<=>((~funny(paul)<~>~creative(paul))))&
(![X]:((~tall(X)&old(X))<=>(creative(X)|~brave(X))))&
((?[X]:((brave(X)<~>~happy(X))))=>(?[X]:(~patient(X))))&
(((~happy(lucy)<~>generous(lucy)))=>((kind(lucy)|~happy(lucy))))&
(![X]:((curious(X)<~>~patient(X))=>(~ol... | ~tall(fred) | [] | null | 0 |
If fred is either humble or not tall then someone is not kind or not wise.
Everyone who is brave is both rich and not curious and vice versa.
Everyone who is both not calm and not quiet is not brave and vice versa.
Everyone who is funny or creative is happy and vice versa.
If susan is both brave and not wise then someo... | Mary is tall. | neutral | (((humble(fred)<~>~tall(fred)))=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:(brave(X)<=>(rich(X)&~curious(X))))&
(![X]:((~calm(X)&~quiet(X))<=>~brave(X)))&
(![X]:((funny(X)|creative(X))<=>happy(X)))&
(((brave(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
((?[X]:(old(X)))=>((rich(susan)|~quiet(susan))))&
(((tall(mary)&~kind(mar... | tall(mary) | [] | null | 0 |
Everyone who is not old or old is not happy or happy and vice versa.
If someone is both tall and wise then paul is not happy or humble and vice versa.
Everyone who is either not wise or strong is not creative.
Everyone who is not tall is either wise or not humble and vice versa.
If fred is humble or strong then someone... | Fred is not kind. | entailment | (![X]:((~old(X)|old(X))<=>(~happy(X)|happy(X))))&
((?[X]:((tall(X)&wise(X))))<=>((~happy(paul)|humble(paul))))&
(![X]:((~wise(X)<~>strong(X))=>~creative(X)))&
(![X]:(~tall(X)<=>(wise(X)<~>~humble(X))))&
(((humble(fred)|strong(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~old(X)<=>(happy(X)|~brave(X))))&
(![X]:(rich(X)<=>(~pat... | ~kind(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 45578600634238954577098
% SZS output start Proof for 45578600634238954577098
8. ! [X0] : ((patient(X0) | ~patient(X0)) => ~kind(X0)) [input p7]
23. kind(fred) [input hypothesis]
25. ! [X0] : (~kind(X0) | (~patient(X0) & patient(X0))) [ennf transformation 8]
83. ~kind(X0) | patient(X0) [cn... | 0 |
Everyone who is either curious or not strong is not calm and vice versa.
Everyone who is not brave or generous is strong.
Everyone who is both not brave and generous is either calm or not kind.
If fred is both not happy and generous then fred is humble and vice versa.
Everyone who is both wise and not calm is either no... | Lucy is generous. | neutral | (![X]:((curious(X)<~>~strong(X))<=>~calm(X)))&
(![X]:((~brave(X)|generous(X))=>strong(X)))&
(![X]:((~brave(X)&generous(X))=>(calm(X)<~>~kind(X))))&
(((~happy(fred)&generous(fred)))<=>(humble(fred)))&
(![X]:((wise(X)&~calm(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(~brave(X)|~humble(X))))&
(![X]... | generous(lucy) | [] | null | 0 |
If someone is quiet then fred is either creative or generous.
Everyone who is not kind or not old is creative and vice versa.
Everyone who is either not funny or not rich is curious and vice versa.
If someone is creative then someone is either not tall or patient and vice versa.
Everyone who is both happy and curious i... | Alice is tall. | contradiction | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>creative(X)))&
(![X]:((~funny(X)<~>~rich(X))<=>curious(X)))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)<~>patient(X)))))&
(![X]:((happy(X)&curious(X))<=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:(... | tall(alice) | [
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 29591308818628936245573
% SZS output start Proof for 29591308818628936245573
8. ! [X0] : (~creative(X0) => ~patient(X0)) [input p7]
9. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p8]
11. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) <~> rich(X0))) [input p10]
... | 0 |
If someone is not rich or quiet then john is not tall or not patient.
If john is curious or happy then someone is creative or not curious and vice versa.
If someone is tall or not funny then paul is not wise and vice versa.
Everyone who is not humble is not funny or strong.
If paul is rich or patient then someone is bo... | John is calm. | contradiction | ((?[X]:((~rich(X)|quiet(X))))=>((~tall(john)|~patient(john))))&
(((curious(john)|happy(john)))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((tall(X)|~funny(X))))<=>(~wise(paul)))&
(![X]:(~humble(X)=>(~funny(X)|strong(X))))&
(((rich(paul)|patient(paul)))=>(?[X]:((rich(X)&brave(X)))))&
(![X]:(curious(X)<=>(~calm(X)&kin... | calm(john) | [
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7156600235619055673248419
% SZS output start Proof for 7156600235619055673248419
6. ! [X0] : (curious(X0) <=> (kind(X0) & ~calm(X0))) [input p5]
7. ! [X0] : (~curious(X0) => rich(X0)) [input p6]
8. ! [X0] : ((~funny(X0) | funny(X0)) <=> ~rich(X0)) [input p7]
23. calm(john) [input hypothes... | 0 |
If someone is wise or old then mary is not humble.
If paul is not kind or curious then susan is not rich or not old.
Everyone who is not kind is either not kind or calm.
Everyone who is patient is either not rich or old and vice versa.
If someone is rich then paul is kind and vice versa.
If someone is calm or old then ... | Lucy is not strong. | neutral | ((?[X]:((wise(X)|old(X))))=>(~humble(mary)))&
(((~kind(paul)|curious(paul)))=>((~rich(susan)|~old(susan))))&
(![X]:(~kind(X)=>(~kind(X)<~>calm(X))))&
(![X]:(patient(X)<=>(~rich(X)<~>old(X))))&
((?[X]:(rich(X)))<=>(kind(paul)))&
((?[X]:((calm(X)|old(X))))<=>((wise(lucy)|quiet(lucy))))&
(![X]:((humble(X)<~>~strong(X))<=>... | ~strong(lucy) | [] | null | 0 |
Everyone who is either curious or old is both curious and funny. Everyone who is happy or tall is both wise and not strong and vice versa. Everyone who is either curious or not old is not brave or not quiet. If someone is rich or not quiet then john is both kind and happy. If someone is either not patient or wise then ... | Paul is happy. | contradiction | (![X]:((curious(X)<~>old(X))=>(curious(X)&funny(X))))&
(![X]:((happy(X)|tall(X))<=>(wise(X)&~strong(X))))&
(![X]:((curious(X)<~>~old(X))=>(~brave(X)|~quiet(X))))&
((?[X]:((rich(X)|~quiet(X))))=>((kind(john)&happy(john))))&
((?[X]:((~patient(X)<~>wise(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:((wise(X)|old(X)))... | happy(paul) | [
"p0",
"p1",
"p5",
"p6",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2972394003585580877776547
% SZS output start Proof for 2972394003585580877776547
1. ! [X0] : ((curious(X0) <~> old(X0)) => (funny(X0) & curious(X0))) [input p0]
2. ! [X0] : ((tall(X0) | happy(X0)) <=> (~strong(X0) & wise(X0))) [input p1]
6. ? [X0] : (old(X0) | wise(X0)) => ? [X0] : (curio... | 0 |
Everyone who is either not humble or not patient is not creative or not tall.
Everyone who is funny or not strong is both patient and brave.
If mary is not old then someone is kind or quiet and vice versa.
If paul is either creative or not rich then someone is old or not rich and vice versa.
If someone is not old then ... | Alice is not kind. | neutral | (![X]:((~humble(X)<~>~patient(X))=>(~creative(X)|~tall(X))))&
(![X]:((funny(X)|~strong(X))=>(patient(X)&brave(X))))&
((~old(mary))<=>(?[X]:((kind(X)|quiet(X)))))&
(((creative(paul)<~>~rich(paul)))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~old(X)))<=>(funny(paul)))&
(![X]:((funny(X)|tall(X))=>(~funny(X)|~quiet(X))))&
((?[... | ~kind(alice) | [] | null | 0 |
If mary is either creative or not tall then susan is quiet.
Everyone who is not curious is not rich and vice versa.
If someone is not quiet then susan is both generous and rich and vice versa.
Everyone who is either not kind or curious is either not patient or happy.
If susan is creative then alice is either tall or ki... | John is brave. | neutral | (((creative(mary)<~>~tall(mary)))=>(quiet(susan)))&
(![X]:(~curious(X)<=>~rich(X)))&
((?[X]:(~quiet(X)))<=>((generous(susan)&rich(susan))))&
(![X]:((~kind(X)<~>curious(X))=>(~patient(X)<~>happy(X))))&
((creative(susan))=>((tall(alice)<~>kind(alice))))&
(![X]:((~generous(X)&~happy(X))<=>generous(X)))&
((?[X]:(~kind(X)))... | brave(john) | [] | null | 0 |
If someone is patient then john is both rich and not tall and vice versa.
Everyone who is both rich and humble is kind and vice versa.
Everyone who is both not wise and not tall is curious or tall and vice versa.
Everyone who is either not happy or happy is both brave and strong and vice versa.
If susan is generous or ... | Fred is not kind. | neutral | ((?[X]:(patient(X)))<=>((rich(john)&~tall(john))))&
(![X]:((rich(X)&humble(X))<=>kind(X)))&
(![X]:((~wise(X)&~tall(X))<=>(curious(X)|tall(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(brave(X)&strong(X))))&
(((generous(susan)|wise(susan)))<=>((~humble(susan)&strong(susan))))&
((?[X]:((~brave(X)&~curious(X))))<=>(?[X]:((~calm... | ~kind(fred) | [] | null | 0 |
Everyone who is both not rich and not quiet is either not brave or creative and vice versa.
If someone is quiet then lucy is both happy and not happy and vice versa.
Everyone who is not tall or not wise is both funny and old.
If fred is not quiet or not kind then paul is either not wise or not curious and vice versa.
E... | Lucy is not humble. | entailment | (![X]:((~rich(X)&~quiet(X))<=>(~brave(X)<~>creative(X))))&
((?[X]:(quiet(X)))<=>((happy(lucy)&~happy(lucy))))&
(![X]:((~tall(X)|~wise(X))=>(funny(X)&old(X))))&
(((~quiet(fred)|~kind(fred)))<=>((~wise(paul)<~>~curious(paul))))&
(![X]:((generous(X)&wise(X))<=>(~tall(X)|funny(X))))&
(![X]:((old(X)<~>creative(X))<=>(~rich(... | ~humble(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5371650689183559170900578
% SZS output start Proof for 5371650689183559170900578
2. ? [X0] : quiet(X0) <=> (~happy(lucy) & happy(lucy)) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) => (old(X0) & funny(X0))) [input p2]
5. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) | ~tall(X0))) ... | 0 |
Everyone who is tall or not wise is happy and vice versa. Everyone who is either happy or quiet is either not calm or wise. If someone is both not rich and creative then someone is both creative and not brave and vice versa. If someone is not curious then alice is not happy and vice versa. If someone is either not crea... | Lucy is tall. | contradiction | (![X]:((tall(X)|~wise(X))<=>happy(X)))&
(![X]:((happy(X)<~>quiet(X))=>(~calm(X)<~>wise(X))))&
((?[X]:((~rich(X)&creative(X))))<=>(?[X]:((creative(X)&~brave(X)))))&
((?[X]:(~curious(X)))<=>(~happy(alice)))&
((?[X]:((~creative(X)<~>~funny(X))))=>(calm(susan)))&
(![X]:((rich(X)<~>generous(X))=>(~curious(X)|~creative(X))))... | tall(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 61571045015888961452381
% SZS output start Proof for 61571045015888961452381
9. ! [X0] : (tall(X0) <=> (~humble(X0) & humble(X0))) [input p8]
25. tall(lucy) [input hypothesis]
60. ! [X0] : ((tall(X0) | (humble(X0) | ~humble(X0))) & ((~humble(X0) & humble(X0)) | ~tall(X0))) [nnf transforma... | 0 |
Everyone who is not kind or funny is both not wise and tall.
If paul is either not strong or not quiet then someone is either not kind or quiet.
If someone is not calm then someone is curious or quiet.
If lucy is both rich and not creative then someone is calm.
Everyone who is kind or not creative is both strong and no... | Lucy is rich. | neutral | (![X]:((~kind(X)|funny(X))=>(~wise(X)&tall(X))))&
(((~strong(paul)<~>~quiet(paul)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((curious(X)|quiet(X)))))&
(((rich(lucy)&~creative(lucy)))=>(?[X]:(calm(X))))&
(![X]:((kind(X)|~creative(X))<=>(strong(X)&~funny(X))))&
((?[X]:((humble(X)<~>~rich(X))))<=>(?[X]... | rich(lucy) | [] | null | 0 |
If john is not calm then mary is not kind or happy.
Everyone who is not funny or not wise is both funny and not humble.
If someone is humble or not tall then someone is either not tall or not patient.
Everyone who is both not strong and not tall is either not creative or funny and vice versa.
If fred is both tall and h... | Fred is not curious. | neutral | ((~calm(john))=>((~kind(mary)|happy(mary))))&
(![X]:((~funny(X)|~wise(X))=>(funny(X)&~humble(X))))&
((?[X]:((humble(X)|~tall(X))))=>(?[X]:((~tall(X)<~>~patient(X)))))&
(![X]:((~strong(X)&~tall(X))<=>(~creative(X)<~>funny(X))))&
(((tall(fred)&humble(fred)))=>(?[X]:((kind(X)<~>~strong(X)))))&
((?[X]:((funny(X)<~>curious(... | ~curious(fred) | [] | null | 0 |
Everyone who is either quiet or not happy is not patient and vice versa. Everyone who is either not patient or not generous is patient and vice versa. Everyone who is funny or not brave is both not generous and kind. If susan is happy then john is either not quiet or humble. If mary is both not strong and brave then pa... | Paul is not generous. | entailment | (![X]:((quiet(X)<~>~happy(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~generous(X))<=>patient(X)))&
(![X]:((funny(X)|~brave(X))=>(~generous(X)&kind(X))))&
((happy(susan))=>((~quiet(john)<~>humble(john))))&
(((~strong(mary)&brave(mary)))=>((~calm(paul)<~>~patient(paul))))&
(![X]:(~generous(X)<=>~quiet(X)))&
(![X]:(kind(X... | ~generous(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2846702345695439780991656
% SZS output start Proof for 2846702345695439780991656
2. ! [X0] : ((~patient(X0) <~> ~generous(X0)) <=> patient(X0)) [input p1]
24. generous(paul) [input hypothesis]
38. ! [X0] : ((((generous(X0) | patient(X0)) & (~generous(X0) | ~patient(X0))) | ~patient(X0)) &... | 0 |
If mary is funny then fred is not humble and vice versa.
Everyone who is both not calm and not strong is not brave or generous and vice versa.
Everyone who is not curious is both brave and not tall and vice versa.
Everyone who is either not calm or not creative is not strong or calm and vice versa.
Everyone who is eith... | Fred is generous. | contradiction | ((funny(mary))<=>(~humble(fred)))&
(![X]:((~calm(X)&~strong(X))<=>(~brave(X)|generous(X))))&
(![X]:(~curious(X)<=>(brave(X)&~tall(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(~strong(X)|calm(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~tall(X)&~creative(X))))&
(((~curious(fred)<~>~funny(fred)))=>((~humble(fred)<~>humble(fred... | generous(fred) | [
"p1",
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7903472386070368641435147
% SZS output start Proof for 7903472386070368641435147
2. ! [X0] : ((~strong(X0) & ~calm(X0)) <=> (generous(X0) | ~brave(X0))) [input p1]
4. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (calm(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((~strong(X0) <~> kind(X0)) <... | 0 |
If paul is patient or not generous then susan is either generous or not tall.
If someone is both not quiet and brave then someone is either not generous or brave.
If someone is generous then someone is not brave.
Everyone who is either wise or not creative is not humble or kind and vice versa.
If lucy is either happy o... | Lucy is not strong. | entailment | (((patient(paul)|~generous(paul)))=>((generous(susan)<~>~tall(susan))))&
((?[X]:((~quiet(X)&brave(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:(generous(X)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>~creative(X))<=>(~humble(X)|kind(X))))&
(((happy(lucy)<~>~happy(lucy)))<=>((humble(john)|strong(john))))&
(![X]:(~ri... | ~strong(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4601602636553560618556611
% SZS output start Proof for 4601602636553560618556611
10. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (~strong(X0) & ~wise(X0))) [input p9]
24. strong(lucy) [input hypothesis]
58. ! [X0] : (((~quiet(X0) | strong(X0)) | (strong(X0) | wise(X0))) & ((~strong(X0) & ~wis... | 0 |
Everyone who is both not happy and not old is patient.
If paul is funny or not old then paul is both curious and quiet.
Everyone who is either humble or patient is not humble or funny and vice versa.
If someone is not generous then someone is not quiet or not kind and vice versa.
If susan is not wise or brave then susa... | Susan is quiet. | entailment | (![X]:((~happy(X)&~old(X))=>patient(X)))&
(((funny(paul)|~old(paul)))=>((curious(paul)&quiet(paul))))&
(![X]:((humble(X)<~>patient(X))<=>(~humble(X)|funny(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~quiet(X)|~kind(X)))))&
(((~wise(susan)|brave(susan)))=>((tall(susan)&~generous(susan))))&
((?[X]:(strong(X)))<=>(?[X]:((tall... | quiet(susan) | [
"p4",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5973537426387048961559796
% SZS output start Proof for 5973537426387048961559796
5. (brave(susan) | ~wise(susan)) => (~generous(susan) & tall(susan)) [input p4]
9. ! [X0] : (~tall(X0) <=> (~calm(X0) | ~quiet(X0))) [input p8]
19. ~wise(susan) [input p18]
25. ~quiet(susan) [input hypothesis... | 0 |
Everyone who is wise or quiet is both not tall and humble and vice versa.
Everyone who is both quiet and not brave is either not funny or brave and vice versa.
Everyone who is either funny or rich is happy.
If someone is not funny then someone is either not calm or not patient.
If mary is both happy and funny then some... | Fred is wise. | neutral | (![X]:((wise(X)|quiet(X))<=>(~tall(X)&humble(X))))&
(![X]:((quiet(X)&~brave(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>rich(X))=>happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((calm(X)<~>old(X))<=>(~patient(X)&patient(... | wise(fred) | [] | null | 0 |
If someone is both not kind and not funny then alice is either not funny or not rich. If fred is curious then someone is creative or not happy and vice versa. If someone is either not patient or curious then someone is not humble. Everyone who is either generous or brave is wise and vice versa. If susan is both not hap... | Fred is not tall. | contradiction | ((?[X]:((~kind(X)&~funny(X))))=>((~funny(alice)<~>~rich(alice))))&
((curious(fred))<=>(?[X]:((creative(X)|~happy(X)))))&
((?[X]:((~patient(X)<~>curious(X))))=>(?[X]:(~humble(X))))&
(![X]:((generous(X)<~>brave(X))<=>wise(X)))&
(((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X)... | ~tall(fred) | [
"p5",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1351903816690566071128552
% SZS output start Proof for 1351903816690566071128552
6. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> (tall(X0) | humble(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~rich(X0)) => ~kind(X0)) [input p7]
12. ! [X0] : (calm(X0) => kind(X0)) [input p11]
16. ! [X0] : (hap... | 0 |
If lucy is both not wise and not kind then lucy is not rich or calm and vice versa. If john is both not humble and funny then someone is not curious or generous and vice versa. If alice is rich or humble then paul is either not curious or patient. If someone is not kind or not humble then fred is either kind or not pat... | John is not creative. | contradiction | (((~wise(lucy)&~kind(lucy)))<=>((~rich(lucy)|calm(lucy))))&
(((~humble(john)&funny(john)))<=>(?[X]:((~curious(X)|generous(X)))))&
(((rich(alice)|humble(alice)))=>((~curious(paul)<~>patient(paul))))&
((?[X]:((~kind(X)|~humble(X))))<=>((kind(fred)<~>~patient(fred))))&
((?[X]:((~quiet(X)<~>tall(X))))=>(?[X]:((strong(X)<~>... | ~creative(john) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7445035563046764821139874
% SZS output start Proof for 7445035563046764821139874
8. ! [X0] : (~quiet(X0) <=> (~old(X0) | ~creative(X0))) [input p7]
14. ! [X0] : (generous(X0) <=> (quiet(X0) <~> ~generous(X0))) [input p13]
23. ~creative(john) [input hypothesis]
57. ! [X0] : ((~quiet(X0) | ... | 0 |
If fred is not happy or not kind then someone is both wise and rich and vice versa.
If someone is both not generous and rich then someone is not creative and vice versa.
Everyone who is wise is both funny and not kind and vice versa.
Everyone who is not patient or not generous is both not tall and not generous and vice... | John is wise. | contradiction | (((~happy(fred)|~kind(fred)))<=>(?[X]:((wise(X)&rich(X)))))&
((?[X]:((~generous(X)&rich(X))))<=>(?[X]:(~creative(X))))&
(![X]:(wise(X)<=>(funny(X)&~kind(X))))&
(![X]:((~patient(X)|~generous(X))<=>(~tall(X)&~generous(X))))&
(![X]:((~curious(X)<~>happy(X))<=>(brave(X)&wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~old(X)|... | wise(john) | [
"p1",
"p2",
"p3",
"p5",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7326003089161832100641498
% SZS output start Proof for 7326003089161832100641498
2. ? [X0] : (rich(X0) & ~generous(X0)) <=> ? [X0] : ~creative(X0) [input p1]
3. ! [X0] : (wise(X0) <=> (~kind(X0) & funny(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~generous(X0) & ~tal... | 0 |
If someone is quiet or not generous then fred is kind or not tall and vice versa.
If alice is both not generous and not patient then someone is either tall or humble.
Everyone who is not patient is not old.
If susan is not humble or not calm then fred is not old or not rich.
If someone is both not kind and kind then so... | Susan is old. | contradiction | ((?[X]:((quiet(X)|~generous(X))))<=>((kind(fred)|~tall(fred))))&
(((~generous(alice)&~patient(alice)))=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:(~patient(X)=>~old(X)))&
(((~humble(susan)|~calm(susan)))=>((~old(fred)|~rich(fred))))&
((?[X]:((~kind(X)&kind(X))))=>(?[X]:((~strong(X)<~>humble(X)))))&
(((~strong(lucy)<~>rich... | old(susan) | [
"p7",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 443363566890150303628463
% SZS output start Proof for 443363566890150303628463
8. ! [X0] : ((creative(X0) & strong(X0)) <=> ~quiet(X0)) [input p7]
11. ! [X0] : (old(X0) => (calm(X0) <~> strong(X0))) [input p10]
13. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (happy(X0) & calm(X0))) [input p... | 0 |
Everyone who is both not kind and kind is either rich or not old and vice versa.
Everyone who is not humble is not rich or not patient and vice versa.
If lucy is either not kind or not happy then someone is wise.
If someone is either rich or funny then paul is not funny.
If someone is either happy or tall then someone ... | Lucy is patient. | entailment | (![X]:((~kind(X)&kind(X))<=>(rich(X)<~>~old(X))))&
(![X]:(~humble(X)<=>(~rich(X)|~patient(X))))&
(((~kind(lucy)<~>~happy(lucy)))=>(?[X]:(wise(X))))&
((?[X]:((rich(X)<~>funny(X))))=>(~funny(paul)))&
((?[X]:((happy(X)<~>tall(X))))<=>(?[X]:((old(X)&kind(X)))))&
(![X]:((creative(X)<~>~wise(X))<=>(quiet(X)<~>~kind(X))))&
((... | patient(lucy) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6281968333189056179914905
% SZS output start Proof for 6281968333189056179914905
2. ! [X0] : (~humble(X0) <=> (~patient(X0) | ~rich(X0))) [input p1]
14. ! [X0] : (~patient(X0) => (wise(X0) & humble(X0))) [input p13]
24. ~patient(lucy) [input hypothesis]
33. ! [X0] : ((wise(X0) & humble(X0... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa. Everyone who is both curious and brave is not creative or not brave. Everyone who is curious or not strong is kind or curious and vice versa. If someone is either rich or quiet then someone is both wise and not curious. If paul is s... | Lucy is not humble. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(![X]:((curious(X)&brave(X))=>(~creative(X)|~brave(X))))&
(![X]:((curious(X)|~strong(X))<=>(kind(X)|curious(X))))&
((?[X]:((rich(X)<~>quiet(X))))=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(paul)|patient(paul)))=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((curi... | ~humble(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5097269844028008678211574
% SZS output start Proof for 5097269844028008678211574
18. ~kind(lucy) & ~humble(lucy) [input p17]
25. humble(lucy) [input hypothesis]
140. ~humble(lucy) [cnf transformation 18]
150. humble(lucy) [cnf transformation 25]
323. $false [subsumption resolution 150,140... | 0 |
If someone is wise then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong then... | Fred is not rich. | contradiction | ((?[X]:(wise(X)))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(... | ~rich(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5863331862621950893319721
% SZS output start Proof for 5863331862621950893319721
22. rich(fred) & humble(fred) [input p21]
23. ~rich(fred) [input hypothesis]
139. rich(fred) [cnf transformation 22]
140. ~rich(fred) [cnf transformation 23]
298. 32 <=> rich(fred) [avatar definition]
335. 32... | 0 |
If paul is patient then someone is not curious or patient and vice versa. If susan is funny then lucy is either calm or kind and vice versa. If someone is wise or tall then someone is not strong. Everyone who is not patient is creative or not creative and vice versa. If lucy is old then fred is not old or creative and ... | Susan is not tall. | entailment | ((patient(paul))<=>(?[X]:((~curious(X)|patient(X)))))&
((funny(susan))<=>((calm(lucy)<~>kind(lucy))))&
((?[X]:((wise(X)|tall(X))))=>(?[X]:(~strong(X))))&
(![X]:(~patient(X)<=>(creative(X)|~creative(X))))&
((old(lucy))<=>((~old(fred)|creative(fred))))&
((?[X]:(funny(X)))=>(?[X]:(kind(X))))&
(((~wise(susan)<~>~brave(susa... | ~tall(susan) | [
"p3",
"p7",
"p8",
"p9",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9109839161348284760930256
% SZS output start Proof for 9109839161348284760930256
4. ! [X0] : (~patient(X0) <=> (~creative(X0) | creative(X0))) [input p3]
8. ! [X0] : ((~generous(X0) | happy(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) => (~generou... | 0 |
Everyone who is both not wise and curious is wise and vice versa. Everyone who is quiet or not generous is quiet or not funny and vice versa. Everyone who is creative or not humble is both creative and not funny. Everyone who is wise is not patient or not kind and vice versa. Everyone who is wise is both not humble and... | Fred is humble. | entailment | (![X]:((~wise(X)&curious(X))<=>wise(X)))&
(![X]:((quiet(X)|~generous(X))<=>(quiet(X)|~funny(X))))&
(![X]:((creative(X)|~humble(X))=>(creative(X)&~funny(X))))&
(![X]:(wise(X)<=>(~patient(X)|~kind(X))))&
(![X]:(wise(X)=>(~humble(X)&~happy(X))))&
(![X]:((~strong(X)<~>rich(X))=>(~tall(X)<~>~patient(X))))&
(![X]:((~old(X)|~... | humble(fred) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5068135627110297747178150
% SZS output start Proof for 5068135627110297747178150
1. ! [X0] : ((curious(X0) & ~wise(X0)) <=> wise(X0)) [input p0]
9. ! [X0] : (humble(X0) <=> ~wise(X0)) [input p8]
25. ~humble(fred) [input hypothesis]
40. ! [X0] : (((curious(X0) & ~wise(X0)) | ~wise(X0)) & (... | 0 |
Everyone who is rich is not creative.
If someone is both not creative and not old then lucy is not quiet and vice versa.
If mary is strong or funny then someone is both not generous and not rich and vice versa.
Everyone who is both not curious and patient is happy and vice versa.
If paul is not old then someone is both... | Alice is not patient. | contradiction | (![X]:(rich(X)=>~creative(X)))&
((?[X]:((~creative(X)&~old(X))))<=>(~quiet(lucy)))&
(((strong(mary)|funny(mary)))<=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~curious(X)&patient(X))<=>happy(X)))&
((~old(paul))<=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((rich(X)<~>~humble(X))=>(kind(X)&humble(X))))&
(((~happy(alice)|~b... | ~patient(alice) | [
"p2",
"p3",
"p6",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2876296779034556422843722
% SZS output start Proof for 2876296779034556422843722
3. (funny(mary) | strong(mary)) <=> ? [X0] : (~rich(X0) & ~generous(X0)) [input p2]
4. ! [X0] : ((patient(X0) & ~curious(X0)) <=> happy(X0)) [input p3]
7. (~brave(alice) | ~happy(alice)) => (~quiet(susan) <~>... | 0 |
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