premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not old and not patient then someone is both brave and not quiet.
Everyone who is both not rich and not calm is either generous or not generous and vice versa.
Everyone who is either brave or not happy is generous or not tall and vice versa.
Everyone who is happy is both generous and not happy.
If lu... | Mary is not generous. | entailment | ((?[X]:((~old(X)&~patient(X))))=>(?[X]:((brave(X)&~quiet(X)))))&
(![X]:((~rich(X)&~calm(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(generous(X)|~tall(X))))&
(![X]:(happy(X)=>(generous(X)&~happy(X))))&
(((~humble(lucy)&creative(lucy)))<=>(?[X]:((~old(X)&brave(X)))))&
((?[X]:((~rich(X)&patient(... | ~generous(mary) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 739712594384534269457659
% SZS output start Proof for 739712594384534269457659
2. ! [X0] : ((~calm(X0) & ~rich(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p1]
8. ! [X0] : ((rich(X0) <~> ~generous(X0)) <=> (~creative(X0) | ~calm(X0))) [input p7]
24. generous(mary) [input hypothesis]
... | 0 |
Everyone who is generous is both funny and rich.
Everyone who is either humble or old is both generous and funny.
Everyone who is humble is calm and vice versa.
Everyone who is humble is generous and vice versa.
If someone is either happy or not humble then someone is either patient or not creative.
Everyone who is bot... | Alice is old. | contradiction | (![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creative(X))<=>(~brave(X)|tall(X))))&
(![X]:((calm(X)|~quiet(X))<... | old(alice) | [
"p2",
"p3",
"p5",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5937767849527038011821021
% SZS output start Proof for 5937767849527038011821021
3. ! [X0] : (humble(X0) <=> calm(X0)) [input p2]
4. ! [X0] : (humble(X0) <=> generous(X0)) [input p3]
6. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (tall(X0) | ~brave(X0))) [input p5]
10. old(alice) => (gene... | 0 |
Everyone who is either patient or strong is both not tall and humble and vice versa.
If someone is funny or not wise then alice is both not humble and not old.
If someone is both curious and not rich then john is not humble or not curious and vice versa.
Everyone who is both quiet and curious is both not kind and patie... | Fred is strong. | contradiction | (![X]:((patient(X)<~>strong(X))<=>(~tall(X)&humble(X))))&
((?[X]:((funny(X)|~wise(X))))=>((~humble(alice)&~old(alice))))&
((?[X]:((curious(X)&~rich(X))))<=>((~humble(john)|~curious(john))))&
(![X]:((quiet(X)&curious(X))<=>(~kind(X)&patient(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>(tall(susan)))&
(![X]:(patient(X)<... | strong(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7510815061314878318406886
% SZS output start Proof for 7510815061314878318406886
8. ! [X0] : ((strong(X0) <~> ~kind(X0)) <=> ~kind(X0)) [input p7]
25. strong(fred) [input hypothesis]
51. ! [X0] : ((((kind(X0) | ~strong(X0)) & (~kind(X0) | strong(X0))) | kind(X0)) & (~kind(X0) | ((strong(X... | 0 |
Everyone who is not old or not quiet is both wise and old.
If someone is either not curious or not rich then someone is either not kind or not funny and vice versa.
Everyone who is either not funny or not quiet is either tall or not kind and vice versa.
Everyone who is generous or brave is either tall or not rich.
If s... | Paul is not generous. | entailment | (![X]:((~old(X)|~quiet(X))=>(wise(X)&old(X))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(tall(X)<~>~kind(X))))&
(![X]:((generous(X)|brave(X))=>(tall(X)<~>~rich(X))))&
(((calm(susan)|~kind(susan)))=>(?[X]:((strong(X)&generous(X)))))&
((?[X]:((~tall(X)&quiet... | ~generous(paul) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7810421534641927012894634
% SZS output start Proof for 7810421534641927012894634
1. ! [X0] : ((~quiet(X0) | ~old(X0)) => (old(X0) & wise(X0))) [input p0]
13. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> old(X0)) [input p12]
25. generous(paul) [input hypothesis]
29. ! [X0] : ((old(X0) & wise(... | 0 |
Everyone who is funny is strong.
If mary is not generous then someone is not curious and vice versa.
Everyone who is either not wise or strong is either brave or humble.
If paul is wise then someone is not creative or strong and vice versa.
If susan is both happy and creative then someone is not patient or brave.
Every... | Fred is wise. | neutral | (![X]:(funny(X)=>strong(X)))&
((~generous(mary))<=>(?[X]:(~curious(X))))&
(![X]:((~wise(X)<~>strong(X))=>(brave(X)<~>humble(X))))&
((wise(paul))<=>(?[X]:((~creative(X)|strong(X)))))&
(((happy(susan)&creative(susan)))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:(kind(X)<=>(~brave(X)&~funny(X))))&
(![X]:((~humble(X)|~rich(X... | wise(fred) | [] | null | 0 |
Everyone who is either not humble or not curious is not calm. If someone is either not strong or brave then someone is not creative or not rich and vice versa. If mary is both humble and not generous then alice is not wise and vice versa. If someone is patient or not wise then paul is both not kind and curious and vice... | Paul is not quiet. | contradiction | (![X]:((~humble(X)<~>~curious(X))=>~calm(X)))&
((?[X]:((~strong(X)<~>brave(X))))<=>(?[X]:((~creative(X)|~rich(X)))))&
(((humble(mary)&~generous(mary)))<=>(~wise(alice)))&
((?[X]:((patient(X)|~wise(X))))<=>((~kind(paul)&curious(paul))))&
(![X]:((calm(X)|~calm(X))=>(creative(X)|~curious(X))))&
(![X]:((~kind(X)&creative(X... | ~quiet(paul) | [
"p3",
"p4",
"p5",
"p6",
"p10",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4482837417350219967204051
% SZS output start Proof for 4482837417350219967204051
4. ? [X0] : (~wise(X0) | patient(X0)) <=> (curious(paul) & ~kind(paul)) [input p3]
5. ! [X0] : ((~calm(X0) | calm(X0)) => (~curious(X0) | creative(X0))) [input p4]
6. ! [X0] : ((creative(X0) & ~kind(X0)) => ~... | 0 |
Everyone who is not calm or not wise is brave and vice versa.
Everyone who is both tall and not happy is not patient or not humble and vice versa.
Everyone who is not brave is both quiet and tall and vice versa.
If someone is both not curious and not creative then someone is either not kind or rich and vice versa.
If m... | Susan is generous. | neutral | (![X]:((~calm(X)|~wise(X))<=>brave(X)))&
(![X]:((tall(X)&~happy(X))<=>(~patient(X)|~humble(X))))&
(![X]:(~brave(X)<=>(quiet(X)&tall(X))))&
((?[X]:((~curious(X)&~creative(X))))<=>(?[X]:((~kind(X)<~>rich(X)))))&
(((kind(mary)&~humble(mary)))=>(?[X]:((~brave(X)|~rich(X)))))&
(![X]:((~wise(X)|~rich(X))<=>(~wise(X)|~strong(... | generous(susan) | [] | null | 0 |
Everyone who is funny or not kind is both not wise and brave.
Everyone who is not curious or not quiet is either not patient or humble.
If paul is not wise or generous then fred is either not strong or not tall.
Everyone who is both brave and generous is either rich or kind and vice versa.
If fred is both not calm and ... | Lucy is not generous. | neutral | (![X]:((funny(X)|~kind(X))=>(~wise(X)&brave(X))))&
(![X]:((~curious(X)|~quiet(X))=>(~patient(X)<~>humble(X))))&
(((~wise(paul)|generous(paul)))=>((~strong(fred)<~>~tall(fred))))&
(![X]:((brave(X)&generous(X))<=>(rich(X)<~>kind(X))))&
(((~calm(fred)&~rich(fred)))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~calm(X)|~crea... | ~generous(lucy) | [] | null | 0 |
Everyone who is patient or not quiet is both kind and quiet.
If someone is quiet or not happy then mary is happy.
If susan is either not kind or not generous then lucy is generous.
If lucy is not tall then someone is not creative.
Everyone who is patient is both not wise and not quiet and vice versa.
Everyone who is no... | Mary is not generous. | contradiction | (![X]:((patient(X)|~quiet(X))=>(kind(X)&quiet(X))))&
((?[X]:((quiet(X)|~happy(X))))=>(happy(mary)))&
(((~kind(susan)<~>~generous(susan)))=>(generous(lucy)))&
((~tall(lucy))=>(?[X]:(~creative(X))))&
(![X]:(patient(X)<=>(~wise(X)&~quiet(X))))&
(![X]:((~generous(X)|kind(X))=>~quiet(X)))&
((?[X]:((~generous(X)&wise(X))))=>... | ~generous(mary) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 569529961082228938814962
% SZS output start Proof for 569529961082228938814962
1. ! [X0] : ((~quiet(X0) | patient(X0)) => (quiet(X0) & kind(X0))) [input p0]
6. ! [X0] : ((kind(X0) | ~generous(X0)) => ~quiet(X0)) [input p5]
24. ~generous(mary) [input hypothesis]
27. ! [X0] : ((quiet(X0) & ... | 0 |
Everyone who is either not quiet or not generous is both generous and curious.
If someone is tall then someone is both humble and wise and vice versa.
Everyone who is not creative or brave is both not curious and not strong and vice versa.
If lucy is either happy or brave then mary is generous or not rich.
If someone i... | Mary is happy. | entailment | (![X]:((~quiet(X)<~>~generous(X))=>(generous(X)&curious(X))))&
((?[X]:(tall(X)))<=>(?[X]:((humble(X)&wise(X)))))&
(![X]:((~creative(X)|brave(X))<=>(~curious(X)&~strong(X))))&
(((happy(lucy)<~>brave(lucy)))=>((generous(mary)|~rich(mary))))&
((?[X]:((~humble(X)|~quiet(X))))=>((~patient(mary)<~>strong(mary))))&
(![X]:((cu... | happy(mary) | [
"p0",
"p2",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 291783227002293051787152
% SZS output start Proof for 291783227002293051787152
1. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) => (curious(X0) & generous(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (~strong(X0) & ~curious(X0))) [input p2]
6. ! [X0] : ((funny(X0) | curious(X0... | 0 |
If someone is either creative or wise then someone is both calm and not patient.
If john is both not wise and not kind then fred is both not curious and kind and vice versa.
Everyone who is both not brave and funny is not funny or curious and vice versa.
Everyone who is humble is either not wise or not quiet and vice v... | Paul is not wise. | entailment | ((?[X]:((creative(X)<~>wise(X))))=>(?[X]:((calm(X)&~patient(X)))))&
(((~wise(john)&~kind(john)))<=>((~curious(fred)&kind(fred))))&
(![X]:((~brave(X)&funny(X))<=>(~funny(X)|curious(X))))&
(![X]:(humble(X)<=>(~wise(X)<~>~quiet(X))))&
(![X]:((~creative(X)&~patient(X))<=>(~tall(X)&~happy(X))))&
(![X]:(~rich(X)<=>~happy(X))... | ~wise(paul) | [
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2274102288953687757338940
% SZS output start Proof for 2274102288953687757338940
6. ! [X0] : (~rich(X0) <=> ~happy(X0)) [input p5]
7. ! [X0] : (happy(X0) <=> (~strong(X0) & ~rich(X0))) [input p6]
11. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> ~wise(X0)) [input p10]
21. wise(paul) [input hypo... | 0 |
If paul is both curious and not brave then someone is not happy and vice versa. If someone is both tall and not brave then someone is either not wise or not rich. Everyone who is either rich or kind is both not creative and tall. If someone is not creative or not kind then someone is calm. Everyone who is not creative ... | John is not calm. | contradiction | (((curious(paul)&~brave(paul)))<=>(?[X]:(~happy(X))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((rich(X)<~>kind(X))=>(~creative(X)&tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(~patient(X)&creative(X))))&
((?[X]:((wise(X)<~>rich(X))))=>... | ~calm(john) | [
"p4",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3812880087110569270646812
% SZS output start Proof for 3812880087110569270646812
5. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (creative(X0) & ~patient(X0))) [input p4]
7. ! [X0] : (tall(X0) <=> (~creative(X0) & ~old(X0))) [input p6]
9. ! [X0] : (tall(X0) => creative(X0)) [input p8]
14. ! ... | 0 |
If alice is not creative or rich then john is calm and vice versa.
Everyone who is rich is not quiet.
If john is either old or not wise then someone is not rich and vice versa.
If someone is rich then fred is not funny or not creative and vice versa.
Everyone who is not generous or curious is not funny.
Everyone who is... | John is patient. | neutral | (((~creative(alice)|rich(alice)))<=>(calm(john)))&
(![X]:(rich(X)=>~quiet(X)))&
(((old(john)<~>~wise(john)))<=>(?[X]:(~rich(X))))&
((?[X]:(rich(X)))<=>((~funny(fred)|~creative(fred))))&
(![X]:((~generous(X)|curious(X))=>~funny(X)))&
(![X]:((~brave(X)|wise(X))<=>tall(X)))&
(![X]:(~funny(X)=>(humble(X)<~>funny(X))))&
(![... | patient(john) | [] | null | 0 |
If someone is either wise or not brave then alice is both not patient and generous.
Everyone who is not patient is happy and vice versa.
Everyone who is not brave or not quiet is not generous and vice versa.
If someone is either kind or not generous then lucy is tall.
Everyone who is not old or not curious is strong.
I... | Mary is not wise. | entailment | ((?[X]:((wise(X)<~>~brave(X))))=>((~patient(alice)&generous(alice))))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((~brave(X)|~quiet(X))<=>~generous(X)))&
((?[X]:((kind(X)<~>~generous(X))))=>(tall(lucy)))&
(![X]:((~old(X)|~curious(X))=>strong(X)))&
((?[X]:((creative(X)|~quiet(X))))<=>(~brave(john)))&
(![X]:(humble(X)<=>(~k... | ~wise(mary) | [
"p2",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 626559184762128117430730
% SZS output start Proof for 626559184762128117430730
3. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> ~generous(X0)) [input p2]
8. ! [X0] : (quiet(X0) <=> (generous(X0) <~> wise(X0))) [input p7]
19. ~quiet(mary) [input p18]
24. wise(mary) [input hypothesis]
38. ! [X0] ... | 0 |
Everyone who is not wise or curious is not generous or creative.
If someone is either not happy or not wise then someone is either old or wise.
Everyone who is not rich or generous is brave and vice versa.
Everyone who is generous is not strong or not brave and vice versa.
If lucy is kind then susan is either curious o... | Lucy is not strong. | entailment | (![X]:((~wise(X)|curious(X))=>(~generous(X)|creative(X))))&
((?[X]:((~happy(X)<~>~wise(X))))=>(?[X]:((old(X)<~>wise(X)))))&
(![X]:((~rich(X)|generous(X))<=>brave(X)))&
(![X]:(generous(X)<=>(~strong(X)|~brave(X))))&
((kind(lucy))=>((curious(susan)<~>strong(susan))))&
((creative(mary))<=>((~patient(alice)|~rich(alice))))... | ~strong(lucy) | [
"p2",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2687844699423947687886730
% SZS output start Proof for 2687844699423947687886730
3. ! [X0] : ((generous(X0) | ~rich(X0)) <=> brave(X0)) [input p2]
4. ! [X0] : (generous(X0) <=> (~brave(X0) | ~strong(X0))) [input p3]
7. ! [X0] : ((~generous(X0) & strong(X0)) <=> (~strong(X0) & ~tall(X0))) ... | 0 |
Everyone who is both happy and funny is strong or not kind. Everyone who is brave is not generous or not brave and vice versa. Everyone who is not rich is not creative and vice versa. If paul is not funny then john is rich. If paul is calm then john is both kind and not funny and vice versa. Everyone who is either stro... | Paul is tall. | entailment | (![X]:((happy(X)&funny(X))=>(strong(X)|~kind(X))))&
(![X]:(brave(X)<=>(~generous(X)|~brave(X))))&
(![X]:(~rich(X)<=>~creative(X)))&
((~funny(paul))=>(rich(john)))&
((calm(paul))<=>((kind(john)&~funny(john))))&
(![X]:((strong(X)<~>~kind(X))=>(curious(X)&~calm(X))))&
(![X]:((patient(X)&~happy(X))<=>(~kind(X)&~strong(X)))... | tall(paul) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3211538572516970740263497
% SZS output start Proof for 3211538572516970740263497
2. ! [X0] : (brave(X0) <=> (~brave(X0) | ~generous(X0))) [input p1]
8. ! [X0] : ((~tall(X0) | funny(X0)) <=> (generous(X0) <~> tall(X0))) [input p7]
22. ~tall(paul) [input hypothesis]
39. ! [X0] : ((brave(X0)... | 0 |
Everyone who is happy is wise. Everyone who is either not calm or not curious is both not old and not happy. Everyone who is quiet is both brave and not quiet. If susan is not humble or not strong then susan is brave or not curious and vice versa. If someone is not wise then someone is both brave and quiet and vice ver... | Mary is not tall. | contradiction | (![X]:(happy(X)=>wise(X)))&
(![X]:((~calm(X)<~>~curious(X))=>(~old(X)&~happy(X))))&
(![X]:(quiet(X)=>(brave(X)&~quiet(X))))&
(((~humble(susan)|~strong(susan)))<=>((brave(susan)|~curious(susan))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((~calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((?[X]:((old(X)&pati... | ~tall(mary) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3483437909591877228177061
% SZS output start Proof for 3483437909591877228177061
3. ! [X0] : (quiet(X0) => (~quiet(X0) & brave(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (rich(X0) | ~tall(X0))) [input p5]
22. ~tall(mary) [input hypothesis]
28. ! [X0] : ((~quiet(X0) & brave(... | 0 |
Everyone who is either not patient or quiet is either old or not kind and vice versa.
Everyone who is strong or not rich is not patient or tall and vice versa.
Everyone who is not kind is both calm and funny and vice versa.
If someone is either kind or not tall then someone is either wise or brave.
Everyone who is pati... | Susan is not humble. | contradiction | (![X]:((~patient(X)<~>quiet(X))<=>(old(X)<~>~kind(X))))&
(![X]:((strong(X)|~rich(X))<=>(~patient(X)|tall(X))))&
(![X]:(~kind(X)<=>(calm(X)&funny(X))))&
((?[X]:((kind(X)<~>~tall(X))))=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((patient(X)|generous(X))<=>(~rich(X)|~curious(X))))&
(![X]:((~rich(X)<~>funny(X))=>~brave(X)))&
(... | ~humble(susan) | [
"p8",
"p9",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 106502191416630979896591
% SZS output start Proof for 106502191416630979896591
9. ? [X0] : (brave(X0) | ~wise(X0)) => (~tall(susan) & happy(susan)) [input p8]
10. ! [X0] : ((~calm(X0) | brave(X0)) => (brave(X0) & humble(X0))) [input p9]
13. ! [X0] : (~tall(X0) <=> (~calm(X0) & humble(X0))... | 0 |
Everyone who is both not creative and creative is wise or not strong and vice versa. If someone is humble then someone is both quiet and not strong and vice versa. Everyone who is both generous and rich is quiet or not kind. If mary is generous then alice is not funny and vice versa. Everyone who is either not strong o... | John is calm. | neutral | (![X]:((~creative(X)&creative(X))<=>(wise(X)|~strong(X))))&
((?[X]:(humble(X)))<=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((generous(X)&rich(X))=>(quiet(X)|~kind(X))))&
((generous(mary))<=>(~funny(alice)))&
(![X]:((~strong(X)<~>~creative(X))<=>(~patient(X)&curious(X))))&
(![X]:((creative(X)&strong(X))=>(~patient(X)|~cre... | calm(john) | [] | null | 0 |
If someone is both not old and not generous then fred is quiet.
Everyone who is not kind is both not patient and generous.
If fred is not wise then mary is both rich and not rich and vice versa.
Everyone who is not kind is not old.
Everyone who is both rich and old is not happy or not strong and vice versa.
If lucy is ... | Mary is generous. | contradiction | ((?[X]:((~old(X)&~generous(X))))=>(quiet(fred)))&
(![X]:(~kind(X)=>(~patient(X)&generous(X))))&
((~wise(fred))<=>((rich(mary)&~rich(mary))))&
(![X]:(~kind(X)=>~old(X)))&
(![X]:((rich(X)&old(X))<=>(~happy(X)|~strong(X))))&
(((creative(lucy)&calm(lucy)))<=>(rich(john)))&
((?[X]:((~brave(X)|~strong(X))))<=>((~kind(john)&c... | generous(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6422272988785193643912185
% SZS output start Proof for 6422272988785193643912185
12. ! [X0] : (~strong(X0) <=> (strong(X0) <~> ~generous(X0))) [input p11]
24. generous(mary) [input hypothesis]
51. ! [X0] : ((~strong(X0) | ((strong(X0) | generous(X0)) & (~generous(X0) | ~strong(X0)))) & ((... | 0 |
Everyone who is funny is both quiet and not old.
If paul is both not creative and not happy then someone is either not generous or happy.
Everyone who is both kind and not brave is either rich or creative and vice versa.
Everyone who is both not wise and creative is either not humble or quiet and vice versa.
If paul is... | Mary is funny. | contradiction | (![X]:(funny(X)=>(quiet(X)&~old(X))))&
(((~creative(paul)&~happy(paul)))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((kind(X)&~brave(X))<=>(rich(X)<~>creative(X))))&
(![X]:((~wise(X)&creative(X))<=>(~humble(X)<~>quiet(X))))&
(((patient(paul)|~humble(paul)))<=>((~calm(fred)|~creative(fred))))&
(![X]:((~kind(X)|~generou... | funny(mary) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4237558408728306644442741
% SZS output start Proof for 4237558408728306644442741
1. ! [X0] : (funny(X0) => (~old(X0) & quiet(X0))) [input p0]
10. ! [X0] : ((funny(X0) <~> old(X0)) <=> (strong(X0) & ~creative(X0))) [input p9]
14. ! [X0] : ((~patient(X0) | patient(X0)) <=> creative(X0)) [in... | 0 |
If john is not tall or not wise then fred is not patient and vice versa.
Everyone who is both quiet and brave is rich or brave and vice versa.
If someone is either not old or quiet then someone is creative and vice versa.
Everyone who is not tall or strong is curious or quiet.
Everyone who is both generous and not curi... | Alice is not rich. | entailment | (((~tall(john)|~wise(john)))<=>(~patient(fred)))&
(![X]:((quiet(X)&brave(X))<=>(rich(X)|brave(X))))&
((?[X]:((~old(X)<~>quiet(X))))<=>(?[X]:(creative(X))))&
(![X]:((~tall(X)|strong(X))=>(curious(X)|quiet(X))))&
(![X]:((generous(X)&~curious(X))<=>~patient(X)))&
((?[X]:(creative(X)))<=>(?[X]:((~brave(X)&~tall(X)))))&
((?... | ~rich(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2624698604280935360916727
% SZS output start Proof for 2624698604280935360916727
19. ~brave(alice) & ~rich(alice) [input p18]
24. rich(alice) [input hypothesis]
146. ~rich(alice) [cnf transformation 19]
152. rich(alice) [cnf transformation 24]
361. $false [subsumption resolution 152,146]
... | 0 |
If mary is not humble or funny then john is not quiet and vice versa.
If someone is both not humble and not rich then alice is either not old or not calm.
Everyone who is both not quiet and not kind is not rich or generous.
Everyone who is not tall is both kind and not generous.
If someone is curious or creative then s... | Alice is patient. | neutral | (((~humble(mary)|funny(mary)))<=>(~quiet(john)))&
((?[X]:((~humble(X)&~rich(X))))=>((~old(alice)<~>~calm(alice))))&
(![X]:((~quiet(X)&~kind(X))=>(~rich(X)|generous(X))))&
(![X]:(~tall(X)=>(kind(X)&~generous(X))))&
((?[X]:((curious(X)|creative(X))))<=>(?[X]:(quiet(X))))&
((rich(john))<=>(?[X]:((strong(X)|funny(X)))))&
(... | patient(alice) | [] | null | 0 |
Everyone who is either wise or tall is not rich or not funny and vice versa.
If mary is generous or not creative then mary is either wise or not old.
If mary is either not strong or not kind then alice is both not old and not generous.
Everyone who is either humble or happy is quiet or not humble and vice versa.
If ali... | Mary is strong. | neutral | (![X]:((wise(X)<~>tall(X))<=>(~rich(X)|~funny(X))))&
(((generous(mary)|~creative(mary)))=>((wise(mary)<~>~old(mary))))&
(((~strong(mary)<~>~kind(mary)))=>((~old(alice)&~generous(alice))))&
(![X]:((humble(X)<~>happy(X))<=>(quiet(X)|~humble(X))))&
(((~creative(alice)&old(alice)))<=>((~wise(alice)|quiet(alice))))&
((?[X]:... | strong(mary) | [] | null | 0 |
Everyone who is both not strong and not creative is either not creative or creative and vice versa.
If fred is either not patient or creative then lucy is quiet or generous and vice versa.
If someone is both calm and brave then john is wise or not wise and vice versa.
Everyone who is tall or not generous is strong.
If ... | Fred is not funny. | contradiction | (![X]:((~strong(X)&~creative(X))<=>(~creative(X)<~>creative(X))))&
(((~patient(fred)<~>creative(fred)))<=>((quiet(lucy)|generous(lucy))))&
((?[X]:((calm(X)&brave(X))))<=>((wise(john)|~wise(john))))&
(![X]:((tall(X)|~generous(X))=>strong(X)))&
((?[X]:(~funny(X)))<=>((creative(paul)&~brave(paul))))&
((?[X]:((~tall(X)|~cr... | ~funny(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 606489989745344418317847
% SZS output start Proof for 606489989745344418317847
1. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (~creative(X0) <~> creative(X0))) [input p0]
5. ? [X0] : ~funny(X0) <=> (~brave(paul) & creative(paul)) [input p4]
21. ~funny(fred) [input hypothesis]
34. ! [X0] :... | 0 |
Everyone who is both not patient and generous is either generous or strong. If fred is either funny or not calm then someone is not rich and vice versa. If someone is not patient or not tall then john is either not curious or kind. If susan is tall then someone is not strong and vice versa. Everyone who is both not gen... | Susan is not wise. | neutral | (![X]:((~patient(X)&generous(X))=>(generous(X)<~>strong(X))))&
(((funny(fred)<~>~calm(fred)))<=>(?[X]:(~rich(X))))&
((?[X]:((~patient(X)|~tall(X))))=>((~curious(john)<~>kind(john))))&
((tall(susan))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)&creative(X))=>~calm(X)))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:(~kind(X))))&... | ~wise(susan) | [] | null | 0 |
If alice is not creative or not quiet then mary is creative and vice versa.
Everyone who is both patient and brave is tall or not curious and vice versa.
If lucy is brave or old then someone is either rich or not curious and vice versa.
Everyone who is rich is either generous or quiet and vice versa.
If someone is calm... | Lucy is calm. | contradiction | (((~creative(alice)|~quiet(alice)))<=>(creative(mary)))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|~curious(X))))&
(((brave(lucy)|old(lucy)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:(rich(X)<=>(generous(X)<~>quiet(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:(tall(X))))&
(![X]:(~strong(X)=>(strong(X)&~quiet(X))))&
((~ri... | calm(lucy) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5252462283505609295313829
% SZS output start Proof for 5252462283505609295313829
13. ! [X0] : ((quiet(X0) & humble(X0)) <=> rich(X0)) [input p12]
14. ! [X0] : ((~rich(X0) | humble(X0)) <=> ~calm(X0)) [input p13]
24. calm(lucy) [input hypothesis]
53. ! [X0] : (((quiet(X0) & humble(X0)) | ~... | 0 |
Everyone who is not old or funny is not quiet or not funny and vice versa.
If someone is curious then someone is not humble or happy and vice versa.
Everyone who is calm or not curious is not calm.
If susan is quiet or patient then someone is both not old and humble.
Everyone who is both brave and creative is both old ... | Fred is not curious. | entailment | (![X]:((~old(X)|funny(X))<=>(~quiet(X)|~funny(X))))&
((?[X]:(curious(X)))<=>(?[X]:((~humble(X)|happy(X)))))&
(![X]:((calm(X)|~curious(X))=>~calm(X)))&
(((quiet(susan)|patient(susan)))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((brave(X)&creative(X))=>(old(X)&strong(X))))&
(![X]:((wise(X)|~generous(X))<=>(rich(X)&~strong(X)... | ~curious(fred) | [
"p0",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1548173997016874528729608
% SZS output start Proof for 1548173997016874528729608
1. ! [X0] : ((funny(X0) | ~old(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p0]
11. ! [X0] : ((~happy(X0) & ~funny(X0)) => ~curious(X0)) [input p10]
14. ! [X0] : ((~patient(X0) & happy(X0)) <=> (old(X0) | ~quie... | 0 |
If fred is both tall and creative then alice is not humble or not generous and vice versa. Everyone who is not happy or rich is not happy and vice versa. If someone is funny then someone is not wise. Everyone who is both not patient and kind is both brave and happy and vice versa. Everyone who is not brave is not kind ... | Lucy is not happy. | neutral | (((tall(fred)&creative(fred)))<=>((~humble(alice)|~generous(alice))))&
(![X]:((~happy(X)|rich(X))<=>~happy(X)))&
((?[X]:(funny(X)))=>(?[X]:(~wise(X))))&
(![X]:((~patient(X)&kind(X))<=>(brave(X)&happy(X))))&
(![X]:(~brave(X)<=>(~kind(X)|~humble(X))))&
(![X]:(funny(X)<=>(strong(X)|rich(X))))&
(((old(lucy)|happy(lucy)))<=... | ~happy(lucy) | [] | null | 0 |
If lucy is patient or happy then someone is not old and vice versa.
If alice is not quiet or not humble then alice is not wise.
Everyone who is not calm is both rich and not creative and vice versa.
If someone is both kind and not tall then someone is wise.
Everyone who is either creative or kind is both old and not ta... | Lucy is old. | entailment | (((patient(lucy)|happy(lucy)))<=>(?[X]:(~old(X))))&
(((~quiet(alice)|~humble(alice)))=>(~wise(alice)))&
(![X]:(~calm(X)<=>(rich(X)&~creative(X))))&
((?[X]:((kind(X)&~tall(X))))=>(?[X]:(wise(X))))&
(![X]:((creative(X)<~>kind(X))<=>(old(X)&~tall(X))))&
((?[X]:((~old(X)<~>~strong(X))))=>((~rich(john)|old(john))))&
(![X]:(... | old(lucy) | [
"p2",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5610392649996537388880047
% SZS output start Proof for 5610392649996537388880047
3. ! [X0] : (~calm(X0) <=> (~creative(X0) & rich(X0))) [input p2]
5. ! [X0] : ((creative(X0) <~> kind(X0)) <=> (~tall(X0) & old(X0))) [input p4]
9. ? [X0] : ~creative(X0) <=> ? [X0] : kind(X0) [input p8]
11. ... | 0 |
If someone is not rich then someone is both not tall and patient and vice versa. If paul is either not creative or rich then someone is either strong or not brave and vice versa. If alice is not calm or not funny then lucy is either not tall or not funny and vice versa. If john is both tall and funny then someone is bo... | John is patient. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((~tall(X)&patient(X)))))&
(((~creative(paul)<~>rich(paul)))<=>(?[X]:((strong(X)<~>~brave(X)))))&
(((~calm(alice)|~funny(alice)))<=>((~tall(lucy)<~>~funny(lucy))))&
(((tall(john)&funny(john)))=>(?[X]:((patient(X)&~old(X)))))&
(![X]:((~generous(X)|~humble(X))=>(kind(X)|calm(X))))&
((generous(l... | patient(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1514744216192561678970509
% SZS output start Proof for 1514744216192561678970509
18. ~patient(john) & ~kind(john) [input p17]
24. patient(john) [input hypothesis]
139. ~patient(john) [cnf transformation 18]
142. patient(john) [cnf transformation 24]
309. $false [subsumption resolution 142... | 0 |
If someone is not humble or not happy then alice is both not generous and not rich. If fred is both happy and strong then susan is not curious. If paul is either tall or not old then mary is not tall. If someone is either not funny or funny then someone is either not kind or old. Everyone who is either happy or brave i... | Mary is not wise. | contradiction | ((?[X]:((~humble(X)|~happy(X))))=>((~generous(alice)&~rich(alice))))&
(((happy(fred)&strong(fred)))=>(~curious(susan)))&
(((tall(paul)<~>~old(paul)))=>(~tall(mary)))&
((?[X]:((~funny(X)<~>funny(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:((wise(X)<~>tall(X))))... | ~wise(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1333918516631467698946236
% SZS output start Proof for 1333918516631467698946236
7. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p6]
22. ~wise(mary) [input hypothesis]
47. ! [X0] : (((wise(X0) & ~rich(X0)) | ((creative(X0) | creative(X0)) & (~creative(X0) ... | 0 |
If someone is not quiet then someone is not wise and vice versa.
If someone is not patient then someone is generous or not calm.
If someone is either rich or not humble then someone is both not kind and not funny.
If someone is either creative or not quiet then someone is brave.
Everyone who is both not humble and curi... | Lucy is tall. | contradiction | ((?[X]:(~quiet(X)))<=>(?[X]:(~wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((rich(X)<~>~humble(X))))=>(?[X]:((~kind(X)&~funny(X)))))&
((?[X]:((creative(X)<~>~quiet(X))))=>(?[X]:(brave(X))))&
(![X]:((~humble(X)&curious(X))<=>happy(X)))&
(![X]:(old(X)<=>(~happy(X)&~patient(X))))&
((~calm(ma... | tall(lucy) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4951791843151420483958371
% SZS output start Proof for 4951791843151420483958371
13. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~tall(X0) & ~brave(X0))) [input p12]
22. ~old(lucy) [input p21]
24. tall(lucy) [input hypothesis]
71. ! [X0] : (((rich(X0) | ~old(X0)) | (tall(X0) | brave(X0))) & ((~t... | 0 |
If someone is not wise then someone is both happy and tall and vice versa.
Everyone who is both not wise and wise is both not old and not rich.
If someone is either not curious or generous then someone is not brave and vice versa.
Everyone who is both not rich and not happy is both brave and kind and vice versa.
If som... | Susan is not happy. | neutral | ((?[X]:(~wise(X)))<=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((~wise(X)&wise(X))=>(~old(X)&~rich(X))))&
((?[X]:((~curious(X)<~>generous(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~rich(X)&~happy(X))<=>(brave(X)&kind(X))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(calm(X)|gener... | ~happy(susan) | [] | null | 0 |
Everyone who is wise or not generous is both generous and curious. If paul is either not old or not curious then alice is both not creative and humble and vice versa. If lucy is either not strong or generous then susan is patient and vice versa. Everyone who is both not happy and not old is not brave or not rich. Every... | Lucy is not rich. | contradiction | (![X]:((wise(X)|~generous(X))=>(generous(X)&curious(X))))&
(((~old(paul)<~>~curious(paul)))<=>((~creative(alice)&humble(alice))))&
(((~strong(lucy)<~>generous(lucy)))<=>(patient(susan)))&
(![X]:((~happy(X)&~old(X))=>(~brave(X)|~rich(X))))&
(![X]:((~creative(X)&tall(X))=>~tall(X)))&
(((humble(susan)&generous(susan)))=>(... | ~rich(lucy) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4564673388470488958839623
% SZS output start Proof for 4564673388470488958839623
8. ! [X0] : ((~rich(X0) | ~curious(X0)) => (brave(X0) & humble(X0))) [input p7]
16. ! [X0] : ((~humble(X0) <~> humble(X0)) => ~humble(X0)) [input p15]
24. ~rich(lucy) [input hypothesis]
34. ! [X0] : ((brave(X... | 0 |
If mary is both not kind and quiet then someone is both creative and rich. Everyone who is both not humble and not curious is not rich and vice versa. If someone is both not funny and not rich then someone is either not generous or not old. If someone is not generous or happy then someone is not creative and vice versa... | Fred is not brave. | entailment | (((~kind(mary)&quiet(mary)))=>(?[X]:((creative(X)&rich(X)))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))&
(![X]:((~kind(X)&kind(X))<=>(old(X)<~>tall(X))... | ~brave(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7060297198862342373919208
% SZS output start Proof for 7060297198862342373919208
23. quiet(fred) & ~brave(fred) [input p22]
24. brave(fred) [input hypothesis]
150. ~brave(fred) [cnf transformation 23]
152. brave(fred) [cnf transformation 24]
256. 22 <=> brave(fred) [avatar definition]
295... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Susan is not generous. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | ~generous(susan) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 44330033141535938217431
% SZS output start Proof for 44330033141535938217431
1. ! [X0] : (~brave(X0) <=> (~strong(X0) <~> rich(X0))) [input p0]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [input p3]
6. ! [X0] : ... | 0 |
Everyone who is either rich or creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is bot... | Mary is not curious. | entailment | (![X]:((rich(X)<~>creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(stro... | ~curious(mary) | [
"p3",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7382880994322444975131679
% SZS output start Proof for 7382880994322444975131679
4. ! [X0] : ((kind(X0) | wise(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p3]
12. (brave(mary) & ~wise(mary)) <=> ? [X0] : humble(X0) [input p11]
23. humble(alice) [input p22]
25. curious(mary) [input hypot... | 0 |
Everyone who is either not funny or patient is not rich or creative.
If fred is both funny and humble then someone is humble.
Everyone who is patient or not tall is both quiet and not generous and vice versa.
If john is either not generous or quiet then someone is either not wise or curious and vice versa.
Everyone who... | Paul is not tall. | contradiction | (![X]:((~funny(X)<~>patient(X))=>(~rich(X)|creative(X))))&
(((funny(fred)&humble(fred)))=>(?[X]:(humble(X))))&
(![X]:((patient(X)|~tall(X))<=>(quiet(X)&~generous(X))))&
(((~generous(john)<~>quiet(john)))<=>(?[X]:((~wise(X)<~>curious(X)))))&
(![X]:(wise(X)=>~curious(X)))&
(![X]:((curious(X)&strong(X))<=>(~generous(X)<~>... | ~tall(paul) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2579833035017124878304658
% SZS output start Proof for 2579833035017124878304658
3. ! [X0] : ((~tall(X0) | patient(X0)) <=> (~generous(X0) & quiet(X0))) [input p2]
12. ! [X0] : ((~calm(X0) | ~generous(X0)) => (tall(X0) & strong(X0))) [input p11]
24. ~tall(paul) [input hypothesis]
35. ! [X... | 0 |
Everyone who is brave is not rich or not generous.
Everyone who is either not rich or not funny is both creative and not happy and vice versa.
If someone is either humble or curious then someone is humble.
If susan is both not curious and brave then alice is either strong or humble and vice versa.
Everyone who is eithe... | Fred is wise. | entailment | (![X]:(brave(X)=>(~rich(X)|~generous(X))))&
(![X]:((~rich(X)<~>~funny(X))<=>(creative(X)&~happy(X))))&
((?[X]:((humble(X)<~>curious(X))))=>(?[X]:(humble(X))))&
(((~curious(susan)&brave(susan)))<=>((strong(alice)<~>humble(alice))))&
(![X]:((humble(X)<~>patient(X))=>funny(X)))&
((?[X]:((strong(X)&~strong(X))))=>(?[X]:((~... | wise(fred) | [
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3469436281265587460425478
% SZS output start Proof for 3469436281265587460425478
7. ! [X0] : ((~old(X0) & creative(X0)) <=> (calm(X0) | generous(X0))) [input p6]
8. ! [X0] : (creative(X0) <=> (generous(X0) & ~calm(X0))) [input p7]
14. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (wise(X0) & ~... | 0 |
Everyone who is wise is not funny or not generous.
Everyone who is either calm or funny is not quiet or not humble and vice versa.
If alice is both not generous and kind then someone is patient.
If susan is patient then someone is not rich.
If someone is either creative or not calm then lucy is both happy and generous ... | Mary is humble. | contradiction | (![X]:(wise(X)=>(~funny(X)|~generous(X))))&
(![X]:((calm(X)<~>funny(X))<=>(~quiet(X)|~humble(X))))&
(((~generous(alice)&kind(alice)))=>(?[X]:(patient(X))))&
((patient(susan))=>(?[X]:(~rich(X))))&
((?[X]:((creative(X)<~>~calm(X))))<=>((happy(lucy)&generous(lucy))))&
(![X]:((~quiet(X)|creative(X))<=>(humble(X)<~>~humble(... | humble(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8329800020094765474622745
% SZS output start Proof for 8329800020094765474622745
7. ! [X0] : ((humble(X0) | happy(X0)) => (~strong(X0) & ~humble(X0))) [input p6]
25. humble(mary) [input hypothesis]
35. ! [X0] : ((~strong(X0) & ~humble(X0)) | (~humble(X0) & ~happy(X0))) [ennf transformatio... | 0 |
Everyone who is either strong or not old is strong and vice versa.
Everyone who is not quiet or generous is either kind or curious and vice versa.
If someone is curious then mary is both not humble and not wise.
Everyone who is either strong or not curious is both not humble and wise and vice versa.
Everyone who is bot... | Susan is not calm. | neutral | (![X]:((strong(X)<~>~old(X))<=>strong(X)))&
(![X]:((~quiet(X)|generous(X))<=>(kind(X)<~>curious(X))))&
((?[X]:(curious(X)))=>((~humble(mary)&~wise(mary))))&
(![X]:((strong(X)<~>~curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|happy(X))))&
(((~quiet(susan)<~>~funny(susan)))=>(?[X]:((kin... | ~calm(susan) | [] | null | 0 |
Everyone who is either not humble or not rich is brave or curious and vice versa.
Everyone who is curious is tall or not curious and vice versa.
Everyone who is either curious or wise is both not old and curious.
Everyone who is both not curious and not creative is both funny and patient and vice versa.
If someone is b... | Alice is not old. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(brave(X)|curious(X))))&
(![X]:(curious(X)<=>(tall(X)|~curious(X))))&
(![X]:((curious(X)<~>wise(X))=>(~old(X)&curious(X))))&
(![X]:((~curious(X)&~creative(X))<=>(funny(X)&patient(X))))&
((?[X]:((~generous(X)&old(X))))=>(patient(paul)))&
((?[X]:((~brave(X)&old(X))))<=>(?[X]:((kind(X)<~>~... | ~old(alice) | [] | null | 0 |
Everyone who is not funny is both funny and not creative and vice versa.
If someone is not brave then susan is rich and vice versa.
Everyone who is both not happy and quiet is brave and vice versa.
If susan is generous or not tall then susan is both rich and wise and vice versa.
Everyone who is both not quiet and not c... | Paul is not creative. | contradiction | (![X]:(~funny(X)<=>(funny(X)&~creative(X))))&
((?[X]:(~brave(X)))<=>(rich(susan)))&
(![X]:((~happy(X)&quiet(X))<=>brave(X)))&
(((generous(susan)|~tall(susan)))<=>((rich(susan)&wise(susan))))&
(![X]:((~quiet(X)&~creative(X))<=>(calm(X)<~>creative(X))))&
((?[X]:(happy(X)))<=>((calm(paul)|creative(paul))))&
((patient(paul... | ~creative(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1948714594317230748664812
% SZS output start Proof for 1948714594317230748664812
1. ! [X0] : (~funny(X0) <=> (~creative(X0) & funny(X0))) [input p0]
22. ~creative(paul) [input hypothesis]
29. ! [X0] : ((~funny(X0) | (creative(X0) | ~funny(X0))) & ((~creative(X0) & funny(X0)) | funny(X0)))... | 0 |
Everyone who is either not patient or humble is generous.
Everyone who is not quiet or strong is either wise or not rich.
Everyone who is happy or old is strong and vice versa.
If someone is not rich or not creative then alice is quiet or not strong.
Everyone who is both not strong and not wise is both not tall and pat... | Alice is not generous. | neutral | (![X]:((~patient(X)<~>humble(X))=>generous(X)))&
(![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creative(X))))=>((quiet(alice)|~strong(alice))))&
(![X]:((~strong(X)&~wise(X))<=>(~tall(X)&patient(X))))&
(((rich(mary)|~humble(mary)))=>((calm(mary)<~>wise(m... | ~generous(alice) | [] | null | 0 |
Everyone who is both not rich and strong is either not brave or quiet and vice versa.
Everyone who is both not generous and old is not brave.
Everyone who is either creative or kind is creative or not patient.
Everyone who is not kind is both quiet and not quiet.
If someone is not funny or not curious then paul is not ... | Paul is not humble. | contradiction | (![X]:((~rich(X)&strong(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:((~generous(X)&old(X))=>~brave(X)))&
(![X]:((creative(X)<~>kind(X))=>(creative(X)|~patient(X))))&
(![X]:(~kind(X)=>(quiet(X)&~quiet(X))))&
((?[X]:((~funny(X)|~curious(X))))=>(~wise(paul)))&
(![X]:((~generous(X)|~tall(X))=>(curious(X)<~>~calm(X))))&
((?[X]:((... | ~humble(paul) | [
"p4",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8189547123108876570282452
% SZS output start Proof for 8189547123108876570282452
5. ? [X0] : (~curious(X0) | ~funny(X0)) => ~wise(paul) [input p4]
8. ! [X0] : ((tall(X0) | ~tall(X0)) => ~strong(X0)) [input p7]
9. ! [X0] : ((~happy(X0) & wise(X0)) <=> (wise(X0) | ~quiet(X0))) [input p8]
13... | 0 |
If paul is either kind or strong then lucy is both quiet and not happy. If someone is calm then someone is strong or humble and vice versa. If someone is both calm and humble then someone is either rich or not quiet. If someone is both kind and not patient then someone is both tall and not old. If someone is not genero... | John is not creative. | contradiction | (((kind(paul)<~>strong(paul)))=>((quiet(lucy)&~happy(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]... | ~creative(john) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4753176374192489976908567
% SZS output start Proof for 4753176374192489976908567
2. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p1]
6. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (strong(X0) | ~rich(X0))) [input p5]
8. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input... | 0 |
Everyone who is either not generous or old is either kind or patient and vice versa.
Everyone who is not creative is not rich.
Everyone who is both tall and old is both not quiet and wise.
If someone is both patient and not humble then someone is both not brave and generous.
If alice is not rich then fred is either hap... | Susan is wise. | neutral | (![X]:((~generous(X)<~>old(X))<=>(kind(X)<~>patient(X))))&
(![X]:(~creative(X)=>~rich(X)))&
(![X]:((tall(X)&old(X))=>(~quiet(X)&wise(X))))&
((?[X]:((patient(X)&~humble(X))))=>(?[X]:((~brave(X)&generous(X)))))&
((~rich(alice))=>((happy(fred)<~>~creative(fred))))&
((humble(fred))=>(?[X]:((humble(X)|calm(X)))))&
(((~stron... | wise(susan) | [] | null | 0 |
If lucy is not rich then someone is either not funny or not generous and vice versa.
Everyone who is both wise and tall is both strong and tall and vice versa.
Everyone who is not kind is curious or not generous.
Everyone who is either not strong or humble is strong or happy and vice versa.
If someone is both strong an... | Fred is not calm. | neutral | ((~rich(lucy))<=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:((wise(X)&tall(X))<=>(strong(X)&tall(X))))&
(![X]:(~kind(X)=>(curious(X)|~generous(X))))&
(![X]:((~strong(X)<~>humble(X))<=>(strong(X)|happy(X))))&
((?[X]:((strong(X)&~calm(X))))=>(happy(paul)))&
(((patient(fred)|old(fred)))<=>(?[X]:((creative(X)|~tall(X)))))... | ~calm(fred) | [] | null | 0 |
Everyone who is not kind is not strong or not generous. If someone is happy or curious then mary is not old or not curious. Everyone who is not wise or generous is quiet or not kind. If someone is kind or humble then someone is both humble and patient. Everyone who is funny or patient is curious or happy. Everyone who ... | John is not creative. | neutral | (![X]:(~kind(X)=>(~strong(X)|~generous(X))))&
((?[X]:((happy(X)|curious(X))))=>((~old(mary)|~curious(mary))))&
(![X]:((~wise(X)|generous(X))=>(quiet(X)|~kind(X))))&
((?[X]:((kind(X)|humble(X))))=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((funny(X)|patient(X))=>(curious(X)|happy(X))))&
(![X]:((~curious(X)&~rich(X))<=>(cu... | ~creative(john) | [] | null | 0 |
Everyone who is either not calm or not wise is either tall or old.
If fred is not old or not happy then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or not humble is both not old and not tall.
If someone is not brave or not str... | Susan is wise. | contradiction | (![X]:((~calm(X)<~>~wise(X))=>(tall(X)<~>old(X))))&
(((~old(fred)|~happy(fred)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fred))))&
(![X]:((wise(X)<~>strong(X))<=>~calm(X... | wise(susan) | [
"p0",
"p3",
"p6",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1514318703244218855546921
% SZS output start Proof for 1514318703244218855546921
1. ! [X0] : ((~calm(X0) <~> ~wise(X0)) => (tall(X0) <~> old(X0))) [input p0]
4. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (cur... | 0 |
If someone is strong then fred is not quiet or patient and vice versa.
Everyone who is not kind is old and vice versa.
If fred is curious then lucy is not tall or wise.
If someone is either not strong or funny then someone is generous or not calm and vice versa.
If someone is quiet or not strong then someone is quiet.
... | Paul is not old. | contradiction | ((?[X]:(strong(X)))<=>((~quiet(fred)|patient(fred))))&
(![X]:(~kind(X)<=>old(X)))&
((curious(fred))=>((~tall(lucy)|wise(lucy))))&
((?[X]:((~strong(X)<~>funny(X))))<=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((quiet(X)|~strong(X))))=>(?[X]:(quiet(X))))&
(![X]:((~quiet(X)&strong(X))<=>(funny(X)&~happy(X))))&
(![X]:((~fun... | ~old(paul) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7996667795596625798522954
% SZS output start Proof for 7996667795596625798522954
2. ! [X0] : (~kind(X0) <=> old(X0)) [input p1]
20. ~curious(paul) & ~kind(paul) [input p19]
25. ~old(paul) [input hypothesis]
29. ! [X0] : (~kind(X0) => old(X0)) [unused predicate definition removal 2]
30. ! ... | 0 |
If someone is both brave and not calm then someone is both not funny and old.
If lucy is wise then paul is rich and vice versa.
If fred is either not humble or wise then someone is kind and vice versa.
If susan is either not patient or not strong then fred is tall.
Everyone who is not rich is both humble and not genero... | Paul is brave. | contradiction | ((?[X]:((brave(X)&~calm(X))))=>(?[X]:((~funny(X)&old(X)))))&
((wise(lucy))<=>(rich(paul)))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]:(kind(X))))&
(((~patient(susan)<~>~strong(susan)))=>(tall(fred)))&
(![X]:(~rich(X)<=>(humble(X)&~generous(X))))&
(![X]:((generous(X)<~>strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:((curi... | brave(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 825110038907138122572346
% SZS output start Proof for 825110038907138122572346
15. ! [X0] : (happy(X0) <=> (~brave(X0) | ~happy(X0))) [input p14]
23. brave(paul) [input hypothesis]
62. ! [X0] : ((happy(X0) | (brave(X0) & happy(X0))) & ((~brave(X0) | ~happy(X0)) | ~happy(X0))) [nnf transfo... | 0 |
If someone is funny or old then fred is both not happy and funny and vice versa. If lucy is both not creative and wise then lucy is not patient. If someone is not curious then john is generous. If someone is wise or not humble then someone is tall or not humble and vice versa. Everyone who is not humble is either happy... | Fred is old. | contradiction | ((?[X]:((funny(X)|old(X))))<=>((~happy(fred)&funny(fred))))&
(((~creative(lucy)&wise(lucy)))=>(~patient(lucy)))&
((?[X]:(~curious(X)))=>(generous(john)))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:(~humble(X)<=>(happy(X)<~>humble(X))))&
(((~calm(john)<~>calm(john)))=>((~humble(lucy)&patient... | old(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1442544044975818911399472
% SZS output start Proof for 1442544044975818911399472
1. ? [X0] : (old(X0) | funny(X0)) <=> (funny(fred) & ~happy(fred)) [input p0]
5. ! [X0] : (~humble(X0) <=> (happy(X0) <~> humble(X0))) [input p4]
22. old(fred) [input hypothesis]
37. (? [X0] : (old(X0) | funn... | 0 |
Everyone who is wise or creative is either brave or kind.
If someone is calm or not brave then lucy is tall and vice versa.
If alice is both generous and brave then john is not strong or creative and vice versa.
If john is not patient or strong then alice is calm or not creative.
If alice is not generous then someone i... | Lucy is not strong. | entailment | (![X]:((wise(X)|creative(X))=>(brave(X)<~>kind(X))))&
((?[X]:((calm(X)|~brave(X))))<=>(tall(lucy)))&
(((generous(alice)&brave(alice)))<=>((~strong(john)|creative(john))))&
(((~patient(john)|strong(john)))=>((calm(alice)|~creative(alice))))&
((~generous(alice))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
(![X]:((generous(X)&~... | ~strong(lucy) | [
"p1",
"p14",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5608743652739992206499545
% SZS output start Proof for 5608743652739992206499545
2. ? [X0] : (~brave(X0) | calm(X0)) <=> tall(lucy) [input p1]
15. ! [X0] : (~strong(X0) <=> (tall(X0) <~> ~patient(X0))) [input p14]
21. ? [X0] : (calm(X0) & ~generous(X0)) [input p20]
24. patient(lucy) [inpu... | 0 |
If someone is funny then someone is either not creative or not tall and vice versa.
Everyone who is either not strong or not rich is both not funny and happy.
Everyone who is either not funny or not tall is humble.
Everyone who is not quiet or not funny is both humble and not quiet and vice versa.
If someone is not qui... | Lucy is not patient. | entailment | ((?[X]:(funny(X)))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((~strong(X)<~>~rich(X))=>(~funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~tall(X))=>humble(X)))&
(![X]:((~quiet(X)|~funny(X))<=>(humble(X)&~quiet(X))))&
((?[X]:(~quiet(X)))<=>(~kind(paul)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~curi... | ~patient(lucy) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 48830176704808932012564
% SZS output start Proof for 48830176704808932012564
2. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => (happy(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (~quiet(X0) & humble(X0))) [input p3]
5. ? [X0] : ~quiet(X0) <=> ~kind(paul) [input p4]
... | 0 |
Everyone who is brave is not strong and vice versa.
If someone is brave then mary is creative or humble and vice versa.
Everyone who is both not funny and wise is old and vice versa.
If someone is curious or tall then someone is both not happy and humble and vice versa.
If someone is both calm and patient then someone ... | Lucy is not calm. | neutral | (![X]:(brave(X)<=>~strong(X)))&
((?[X]:(brave(X)))<=>((creative(mary)|humble(mary))))&
(![X]:((~funny(X)&wise(X))<=>old(X)))&
((?[X]:((curious(X)|tall(X))))<=>(?[X]:((~happy(X)&humble(X)))))&
((?[X]:((calm(X)&patient(X))))=>(?[X]:((rich(X)|~old(X)))))&
((?[X]:((kind(X)&~happy(X))))<=>(?[X]:((strong(X)<~>~calm(X)))))&
(... | ~calm(lucy) | [] | null | 0 |
If someone is not strong or not tall then mary is both brave and tall. Everyone who is brave or funny is humble or tall. Everyone who is both not quiet and not funny is both rich and not humble and vice versa. Everyone who is kind or not old is not calm and vice versa. Everyone who is not happy or calm is either not ri... | Mary is not tall. | contradiction | ((?[X]:((~strong(X)|~tall(X))))=>((brave(mary)&tall(mary))))&
(![X]:((brave(X)|funny(X))=>(humble(X)|tall(X))))&
(![X]:((~quiet(X)&~funny(X))<=>(rich(X)&~humble(X))))&
(![X]:((kind(X)|~old(X))<=>~calm(X)))&
(![X]:((~happy(X)|calm(X))=>(~rich(X)<~>~kind(X))))&
((creative(paul))=>(?[X]:((rich(X)<~>strong(X)))))&
(((happy... | ~tall(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6582825244873178082697162
% SZS output start Proof for 6582825244873178082697162
1. ? [X0] : (~tall(X0) | ~strong(X0)) => (tall(mary) & brave(mary)) [input p0]
24. ~tall(mary) [input hypothesis]
26. (tall(mary) & brave(mary)) | ! [X0] : (tall(X0) & strong(X0)) [ennf transformation 1]
77. ... | 0 |
If someone is either not curious or not wise then someone is humble. Everyone who is either not rich or not wise is both strong and not generous. If paul is quiet or wise then someone is not kind and vice versa. If someone is not patient or kind then susan is either humble or not kind and vice versa. Everyone who is no... | John is not strong. | contradiction | ((?[X]:((~curious(X)<~>~wise(X))))=>(?[X]:(humble(X))))&
(![X]:((~rich(X)<~>~wise(X))=>(strong(X)&~generous(X))))&
(((quiet(paul)|wise(paul)))<=>(?[X]:(~kind(X))))&
((?[X]:((~patient(X)|kind(X))))<=>((humble(susan)<~>~kind(susan))))&
(![X]:((~generous(X)|~tall(X))<=>(tall(X)&~strong(X))))&
(![X]:((~generous(X)|~creativ... | ~strong(john) | [
"p4",
"p5",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6719199778137252423547773
% SZS output start Proof for 6719199778137252423547773
5. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> (~strong(X0) & tall(X0))) [input p4]
6. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> calm(X0)) [input p5]
10. ! [X0] : (~generous(X0) => ~old(X0)) [input p9]
12. ... | 0 |
Everyone who is rich or generous is humble or not generous.
If john is either tall or not brave then someone is not calm or quiet and vice versa.
Everyone who is either calm or not creative is funny or not happy.
Everyone who is both not patient and not calm is either calm or funny and vice versa.
Everyone who is humbl... | Lucy is happy. | entailment | (![X]:((rich(X)|generous(X))=>(humble(X)|~generous(X))))&
(((tall(john)<~>~brave(john)))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((calm(X)<~>~creative(X))=>(funny(X)|~happy(X))))&
(![X]:((~patient(X)&~calm(X))<=>(calm(X)<~>funny(X))))&
(![X]:(humble(X)=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~... | happy(lucy) | [
"p6",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 97900049235807066522155
% SZS output start Proof for 97900049235807066522155
7. ! [X0] : ((creative(X0) | rich(X0)) <=> ~creative(X0)) [input p6]
20. creative(lucy) <~> humble(lucy) [input p19]
21. ~happy(lucy) <~> humble(lucy) [input p20]
23. ~happy(lucy) [input hypothesis]
41. ! [X0] : ... | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | Mary is not rich. | entailment | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | ~rich(mary) | [
"p5",
"p6",
"p13",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6823751494844206035373772
% SZS output start Proof for 6823751494844206035373772
6. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> ~rich(X0)) [input p5]
7. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (brave(X0) <~> ~old(X0))) [input p6]
14. generous(mary) <=> ? [X0] : (~calm(X0) <~> old(X0)) [inpu... | 0 |
If someone is both brave and happy then susan is kind or not humble. Everyone who is both creative and not generous is generous. Everyone who is both tall and wise is both not creative and generous. Everyone who is funny or not generous is both calm and creative. If someone is generous then lucy is either patient or cr... | Lucy is not creative. | entailment | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:(generous(X)))=>((patient(lucy)<~>creative(lucy))))&
(![X]:(humble(X)=>(brave(X)&~curi... | ~creative(lucy) | [
"p1",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3650230352279598038647327
% SZS output start Proof for 3650230352279598038647327
2. ! [X0] : ((~generous(X0) & creative(X0)) => generous(X0)) [input p1]
4. ! [X0] : ((~generous(X0) | funny(X0)) => (creative(X0) & calm(X0))) [input p3]
5. ? [X0] : generous(X0) => (patient(lucy) <~> creativ... | 0 |
If john is both not humble and not old then mary is either generous or not happy.
Everyone who is either not old or not kind is either wise or generous and vice versa.
Everyone who is wise or not brave is not brave or not old and vice versa.
If someone is creative or generous then someone is not humble and vice versa.
... | John is creative. | entailment | (((~humble(john)&~old(john)))=>((generous(mary)<~>~happy(mary))))&
(![X]:((~old(X)<~>~kind(X))<=>(wise(X)<~>generous(X))))&
(![X]:((wise(X)|~brave(X))<=>(~brave(X)|~old(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:(~humble(X))))&
(![X]:((happy(X)&~happy(X))<=>(~old(X)<~>~creative(X))))&
((?[X]:((~quiet(X)&~patien... | creative(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5513991554261571071443019
% SZS output start Proof for 5513991554261571071443019
5. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~old(X0) <~> ~creative(X0))) [input p4]
7. ? [X0] : (~old(X0) | ~curious(X0)) <=> (creative(lucy) <~> old(lucy)) [input p6]
22. ~creative(john) [input hypothesis]
41... | 0 |
If someone is not funny then someone is both not funny and not strong and vice versa.
If someone is either wise or generous then someone is either not tall or not humble.
Everyone who is both not curious and not old is not creative or humble and vice versa.
Everyone who is not strong is tall and vice versa.
If susan is... | John is generous. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:((~funny(X)&~strong(X)))))&
((?[X]:((wise(X)<~>generous(X))))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~curious(X)&~old(X))<=>(~creative(X)|humble(X))))&
(![X]:(~strong(X)<=>tall(X)))&
((generous(susan))<=>(wise(susan)))&
(((patient(john)&humble(john)))<=>(?[X]:((~strong(X)<~>funny(X)))))... | generous(john) | [
"p1",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1339437648896284119443951
% SZS output start Proof for 1339437648896284119443951
2. ? [X0] : (wise(X0) <~> generous(X0)) => ? [X0] : (~tall(X0) <~> ~humble(X0)) [input p1]
4. ! [X0] : (~strong(X0) <=> tall(X0)) [input p3]
7. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & humble(X0)))... | 0 |
Everyone who is both curious and not calm is calm or kind. Everyone who is brave or not patient is rich or not patient and vice versa. If lucy is both tall and rich then someone is either not kind or not calm. If someone is both not kind and happy then someone is both not quiet and not kind and vice versa. Everyone who... | John is not calm. | contradiction | (![X]:((curious(X)&~calm(X))=>(calm(X)|kind(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)|~patient(X))))&
(((tall(lucy)&rich(lucy)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
((?[X]:((~kind(X)&happy(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:((~wise(X)<~>wise(X))=>(rich(X)<~>tall(X))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[... | ~calm(john) | [
"p0",
"p1",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3863125506196636109264200
% SZS output start Proof for 3863125506196636109264200
1. ! [X0] : ((~calm(X0) & curious(X0)) => (kind(X0) | calm(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~patient(X0) | rich(X0))) [input p1]
9. ! [X0] : ((~brave(X0) & ~rich(X0)) <=> (~curiou... | 0 |
Everyone who is not humble or tall is not humble or not happy.
Everyone who is either not brave or not calm is either not rich or happy and vice versa.
Everyone who is both quiet and funny is creative or rich.
If susan is either not calm or happy then someone is either not funny or creative and vice versa.
Everyone who... | Fred is not patient. | neutral | (![X]:((~humble(X)|tall(X))=>(~humble(X)|~happy(X))))&
(![X]:((~brave(X)<~>~calm(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((quiet(X)&funny(X))=>(creative(X)|rich(X))))&
(((~calm(susan)<~>happy(susan)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((brave(X)|tall(X))=>(~humble(X)|rich(X))))&
((?[X]:((funny(X)|generous(X))))... | ~patient(fred) | [] | null | 0 |
Everyone who is wise is funny and vice versa.
If someone is brave then someone is brave or wise.
Everyone who is generous or not patient is not kind or wise.
If lucy is not wise or kind then someone is either not happy or not funny.
Everyone who is both not calm and humble is generous and vice versa.
If john is rich th... | John is not tall. | entailment | (![X]:(wise(X)<=>funny(X)))&
((?[X]:(brave(X)))=>(?[X]:((brave(X)|wise(X)))))&
(![X]:((generous(X)|~patient(X))=>(~kind(X)|wise(X))))&
(((~wise(lucy)|kind(lucy)))=>(?[X]:((~happy(X)<~>~funny(X)))))&
(![X]:((~calm(X)&humble(X))<=>generous(X)))&
((rich(john))<=>(?[X]:((~curious(X)|funny(X)))))&
(![X]:((~patient(X)&happy(... | ~tall(john) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8637921696795843281736004
% SZS output start Proof for 8637921696795843281736004
1. ! [X0] : (wise(X0) <=> funny(X0)) [input p0]
5. ! [X0] : ((humble(X0) & ~calm(X0)) <=> generous(X0)) [input p4]
8. ? [X0] : (~funny(X0) & ~quiet(X0)) <=> ? [X0] : patient(X0) [input p7]
9. ! [X0] : (~calm(... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not wise then someone is both not curious and not patient.
Everyone who is either quiet or not happy is strong or not funny and vice versa.
Everyone who is not wise or creative is both patient and not creative and vice versa.
Everyone who is... | Mary is rich. | contradiction | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~wise(paul)))=>(?[X]:((~curious(X)&~patient(X)))))&
(![X]:((quiet(X)<~>~happy(X))<=>(strong(X)|~funny(X))))&
(![X]:((~wise(X)|creative(X))<=>(patient(X)&~creative(X))))&
(![X]:(~humble(X)=>(calm(X)|funny(X))))&
(((generous(susan)&tall(susan)))=>(?[X]:(happy... | rich(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8241038019123362898534695
% SZS output start Proof for 8241038019123362898534695
22. ~rich(mary) & ~strong(mary) [input p21]
25. rich(mary) [input hypothesis]
143. ~rich(mary) [cnf transformation 22]
146. rich(mary) [cnf transformation 25]
344. $false [subsumption resolution 146,143]
% SZ... | 0 |
Everyone who is not creative or humble is not brave or wise and vice versa. If someone is rich or tall then mary is either not brave or humble. Everyone who is kind or not curious is not curious. Everyone who is curious or not quiet is kind. Everyone who is both not humble and patient is patient. Everyone who is both f... | Susan is tall. | neutral | (![X]:((~creative(X)|humble(X))<=>(~brave(X)|wise(X))))&
((?[X]:((rich(X)|tall(X))))=>((~brave(mary)<~>humble(mary))))&
(![X]:((kind(X)|~curious(X))=>~curious(X)))&
(![X]:((curious(X)|~quiet(X))=>kind(X)))&
(![X]:((~humble(X)&patient(X))=>patient(X)))&
(![X]:((funny(X)&strong(X))<=>(~old(X)&rich(X))))&
(((happy(paul)&p... | tall(susan) | [] | null | 0 |
Everyone who is not brave is either not strong or not humble and vice versa.
If susan is both not curious and calm then someone is both not patient and not rich and vice versa.
If someone is both creative and curious then someone is patient or not funny and vice versa.
If someone is humble or not quiet then someone is ... | John is patient. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(susan)))=>((~calm(fred)&~happy(fred))))&
... | patient(john) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1099089495178501956741845
% SZS output start Proof for 1099089495178501956741845
3. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p2]
6. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p5]
25. patient(john) [input hypothesis]
26. ? [X... | 0 |
If someone is both not funny and kind then fred is either not rich or rich and vice versa.
If someone is humble then someone is quiet or not calm and vice versa.
Everyone who is not happy or creative is not humble or not happy and vice versa.
If john is either not generous or not curious then someone is old.
Everyone w... | John is not old. | neutral | ((?[X]:((~funny(X)&kind(X))))<=>((~rich(fred)<~>rich(fred))))&
((?[X]:(humble(X)))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((~happy(X)|creative(X))<=>(~humble(X)|~happy(X))))&
(((~generous(john)<~>~curious(john)))=>(?[X]:(old(X))))&
(![X]:((~quiet(X)|~generous(X))=>(~kind(X)|~happy(X))))&
(![X]:((~brave(X)&quiet(X))<=>~... | ~old(john) | [] | null | 0 |
Everyone who is both not tall and rich is brave or not generous and vice versa.
If someone is both not creative and not quiet then someone is both happy and calm.
If lucy is both wise and calm then john is either not quiet or not kind and vice versa.
If someone is not strong then mary is either kind or quiet.
If susan ... | Paul is not kind. | neutral | (![X]:((~tall(X)&rich(X))<=>(brave(X)|~generous(X))))&
((?[X]:((~creative(X)&~quiet(X))))=>(?[X]:((happy(X)&calm(X)))))&
(((wise(lucy)&calm(lucy)))<=>((~quiet(john)<~>~kind(john))))&
((?[X]:(~strong(X)))=>((kind(mary)<~>quiet(mary))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
(((old(pa... | ~kind(paul) | [] | null | 0 |
Everyone who is both old and not brave is either humble or funny. Everyone who is not rich or not wise is both kind and not generous. Everyone who is either not funny or funny is wise and vice versa. If someone is both not tall and happy then someone is both not kind and not funny and vice versa. If someone is not humb... | Fred is not funny. | neutral | (![X]:((old(X)&~brave(X))=>(humble(X)<~>funny(X))))&
(![X]:((~rich(X)|~wise(X))=>(kind(X)&~generous(X))))&
(![X]:((~funny(X)<~>funny(X))<=>wise(X)))&
((?[X]:((~tall(X)&happy(X))))<=>(?[X]:((~kind(X)&~funny(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((generous(X)&kind(X))<=>~rich(X)))&
(((~fun... | ~funny(fred) | [] | null | 0 |
Everyone who is not strong or tall is not old or calm.
Everyone who is wise is either not kind or quiet.
If alice is both kind and wise then someone is not rich or old and vice versa.
Everyone who is not generous or tall is not wise or curious.
If someone is both not kind and wise then someone is wise or not generous a... | Paul is not kind. | entailment | (![X]:((~strong(X)|tall(X))=>(~old(X)|calm(X))))&
(![X]:(wise(X)=>(~kind(X)<~>quiet(X))))&
(((kind(alice)&wise(alice)))<=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((... | ~kind(paul) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3783456966578403612126148
% SZS output start Proof for 3783456966578403612126148
10. ! [X0] : ((creative(X0) & kind(X0)) <=> kind(X0)) [input p9]
16. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> creative(X0))) [input p15]
24. kind(paul) [input hypothesis]
53. ! [X0] : (((creative(X0) & ... | 0 |
If someone is not strong then someone is tall. Everyone who is either not generous or kind is either not funny or strong. If someone is both happy and wise then paul is not curious. If john is creative or tall then lucy is not rich. If someone is quiet or not rich then paul is both humble and patient. If susan is curio... | Lucy is not creative. | neutral | ((?[X]:(~strong(X)))=>(?[X]:(tall(X))))&
(![X]:((~generous(X)<~>kind(X))=>(~funny(X)<~>strong(X))))&
((?[X]:((happy(X)&wise(X))))=>(~curious(paul)))&
(((creative(john)|tall(john)))=>(~rich(lucy)))&
((?[X]:((quiet(X)|~rich(X))))=>((humble(paul)&patient(paul))))&
(((curious(susan)|~quiet(susan)))<=>(~funny(lucy)))&
(![X]... | ~creative(lucy) | [] | null | 0 |
Everyone who is not humble is kind or not strong.
If alice is not kind then someone is both wise and curious and vice versa.
Everyone who is both not quiet and not wise is not rich and vice versa.
Everyone who is curious is both not generous and not humble.
Everyone who is not quiet is patient or generous and vice vers... | Lucy is not funny. | contradiction | (![X]:(~humble(X)=>(kind(X)|~strong(X))))&
((~kind(alice))<=>(?[X]:((wise(X)&curious(X)))))&
(![X]:((~quiet(X)&~wise(X))<=>~rich(X)))&
(![X]:(curious(X)=>(~generous(X)&~humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)|generous(X))))&
(![X]:((~calm(X)|quiet(X))<=>(~old(X)|~wise(X))))&
(![X]:(calm(X)<=>(~tall(X)|calm(X))))&
... | ~funny(lucy) | [
"p2",
"p3",
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1036377088920075434652863
% SZS output start Proof for 1036377088920075434652863
3. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> ~rich(X0)) [input p2]
4. ! [X0] : (curious(X0) => (~humble(X0) & ~generous(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (generous(X0) | patient(X0))) [input p4]
8. ! ... | 0 |
If someone is funny then someone is happy. Everyone who is both not happy and tall is either tall or not kind and vice versa. Everyone who is rich or creative is not wise or old. If someone is both curious and not generous then someone is both not kind and not curious and vice versa. If mary is both generous and curiou... | Mary is not tall. | neutral | ((?[X]:(funny(X)))=>(?[X]:(happy(X))))&
(![X]:((~happy(X)&tall(X))<=>(tall(X)<~>~kind(X))))&
(![X]:((rich(X)|creative(X))=>(~wise(X)|old(X))))&
((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((~kind(X)&~curious(X)))))&
(((generous(mary)&curious(mary)))=>(?[X]:((funny(X)&patient(X)))))&
(![X]:((quiet(X)<~>~kind(X))=>(calm(... | ~tall(mary) | [] | null | 0 |
If paul is not wise or tall then fred is not strong.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or patient is both not brave and not tall.
Everyone who is creative is rich and vice versa.
If alice is rich then mary is both patient and not happy and vice versa.
E... | Fred is not strong. | entailment | (((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)|creative(X))))&
((~happy(susan))=>(?[X]:((~happy(X)&~kin... | ~strong(fred) | [
"p0",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3056262338032104263243447
% SZS output start Proof for 3056262338032104263243447
1. (tall(paul) | ~wise(paul)) => ~strong(fred) [input p0]
9. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~wise(X0) & generous(X0))) [input p8]
10. ! [X0] : ((~generous(X0) | ~curious(X0)) => generous(X0)) [input p... | 0 |
Everyone who is either brave or happy is not patient or not funny. Everyone who is old or not creative is patient or creative. If someone is wise then someone is both not humble and brave. If susan is old or creative then someone is not generous or happy and vice versa. Everyone who is both not patient and kind is eith... | Fred is not funny. | neutral | (![X]:((brave(X)<~>happy(X))=>(~patient(X)|~funny(X))))&
(![X]:((old(X)|~creative(X))=>(patient(X)|creative(X))))&
((?[X]:(wise(X)))=>(?[X]:((~humble(X)&brave(X)))))&
(((old(susan)|creative(susan)))<=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~patient(X)&kind(X))=>(curious(X)<~>brave(X))))&
(![X]:((~kind(X)|~generous(... | ~funny(fred) | [] | null | 0 |
If someone is either creative or quiet then someone is both kind and not creative. If someone is not curious then john is old or calm and vice versa. If someone is tall then john is kind and vice versa. If susan is not brave then lucy is both patient and not quiet and vice versa. Everyone who is both not creative and c... | Susan is not quiet. | neutral | ((?[X]:((creative(X)<~>quiet(X))))=>(?[X]:((kind(X)&~creative(X)))))&
((?[X]:(~curious(X)))<=>((old(john)|calm(john))))&
((?[X]:(tall(X)))<=>(kind(john)))&
((~brave(susan))<=>((patient(lucy)&~quiet(lucy))))&
(![X]:((~creative(X)&curious(X))=>(wise(X)|~brave(X))))&
(((~tall(lucy)&~creative(lucy)))<=>((funny(mary)|~quiet... | ~quiet(susan) | [] | null | 0 |
If paul is kind then mary is not curious or rich.
Everyone who is both rich and tall is not happy or tall.
If someone is not strong or strong then john is both not tall and not wise.
Everyone who is not patient is either old or curious.
Everyone who is happy or not wise is both not funny and old.
If someone is curious ... | John is not generous. | entailment | ((kind(paul))=>((~curious(mary)|rich(mary))))&
(![X]:((rich(X)&tall(X))=>(~happy(X)|tall(X))))&
((?[X]:((~strong(X)|strong(X))))=>((~tall(john)&~wise(john))))&
(![X]:(~patient(X)=>(old(X)<~>curious(X))))&
(![X]:((happy(X)|~wise(X))=>(~funny(X)&old(X))))&
((?[X]:((curious(X)|~strong(X))))<=>((old(fred)<~>~patient(fred))... | ~generous(john) | [
"p2",
"p4",
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8940151193837182066781952
% SZS output start Proof for 8940151193837182066781952
3. ? [X0] : (strong(X0) | ~strong(X0)) => (~wise(john) & ~tall(john)) [input p2]
5. ! [X0] : ((~wise(X0) | happy(X0)) => (old(X0) & ~funny(X0))) [input p4]
9. ! [X0] : ((~happy(X0) | old(X0)) <=> (creative(X0... | 0 |
If john is not brave then someone is not tall.
If fred is either creative or not calm then someone is quiet.
If someone is kind or tall then john is both not wise and not strong and vice versa.
If someone is not patient then someone is not rich or not calm and vice versa.
Everyone who is not kind or not curious is both... | Fred is not calm. | neutral | ((~brave(john))=>(?[X]:(~tall(X))))&
(((creative(fred)<~>~calm(fred)))=>(?[X]:(quiet(X))))&
((?[X]:((kind(X)|tall(X))))<=>((~wise(john)&~strong(john))))&
((?[X]:(~patient(X)))<=>(?[X]:((~rich(X)|~calm(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(creative(X)&~calm(X))))&
(![X]:(funny(X)=>~old(X)))&
(![X]:(patient(X)=>(~calm... | ~calm(fred) | [] | null | 0 |
Everyone who is brave or not strong is not old or tall and vice versa. If lucy is both calm and not creative then someone is both funny and old. If mary is both not rich and creative then susan is not happy or not creative and vice versa. If fred is curious or wise then someone is both happy and old. If someone is stro... | Susan is not calm. | neutral | (![X]:((brave(X)|~strong(X))<=>(~old(X)|tall(X))))&
(((calm(lucy)&~creative(lucy)))=>(?[X]:((funny(X)&old(X)))))&
(((~rich(mary)&creative(mary)))<=>((~happy(susan)|~creative(susan))))&
(((curious(fred)|wise(fred)))=>(?[X]:((happy(X)&old(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~kind(X)&c... | ~calm(susan) | [] | null | 0 |
If mary is either not funny or quiet then someone is both brave and creative and vice versa.
Everyone who is both kind and not wise is both not rich and curious.
If fred is both calm and not calm then lucy is rich or strong and vice versa.
If someone is both not generous and not quiet then alice is both not rich and cu... | John is brave. | neutral | (((~funny(mary)<~>quiet(mary)))<=>(?[X]:((brave(X)&creative(X)))))&
(![X]:((kind(X)&~wise(X))=>(~rich(X)&curious(X))))&
(((calm(fred)&~calm(fred)))<=>((rich(lucy)|strong(lucy))))&
((?[X]:((~generous(X)&~quiet(X))))<=>((~rich(alice)&curious(alice))))&
(![X]:(brave(X)<=>(~quiet(X)|rich(X))))&
(((~curious(john)|~brave(joh... | brave(john) | [] | null | 0 |
Everyone who is not old is not strong or not rich.
If someone is either not quiet or old then mary is both calm and creative.
If someone is not rich then fred is not tall or rich.
Everyone who is either brave or kind is not patient and vice versa.
Everyone who is either not generous or not humble is not creative and vi... | Lucy is quiet. | entailment | (![X]:(~old(X)=>(~strong(X)|~rich(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>((calm(mary)&creative(mary))))&
((?[X]:(~rich(X)))=>((~tall(fred)|rich(fred))))&
(![X]:((brave(X)<~>kind(X))<=>~patient(X)))&
(![X]:((~generous(X)<~>~humble(X))<=>~creative(X)))&
((?[X]:((~funny(X)|tall(X))))<=>((quiet(fred)|calm(fred))))&
(![X]:(... | quiet(lucy) | [
"p4",
"p6",
"p10",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5256143302563597097961732
% SZS output start Proof for 5256143302563597097961732
5. ! [X0] : ((~generous(X0) <~> ~humble(X0)) <=> ~creative(X0)) [input p4]
7. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (rich(X0) <~> ~funny(X0))) [input p6]
11. ! [X0] : ((~quiet(X0) | happy(X0)) <=> ~bra... | 0 |
If john is not funny then someone is funny or rich.
Everyone who is either curious or generous is tall.
Everyone who is either not quiet or not calm is quiet or not curious and vice versa.
If john is generous then someone is not funny or wise.
Everyone who is both brave and not old is either not humble or kind.
Everyon... | John is not funny. | neutral | ((~funny(john))=>(?[X]:((funny(X)|rich(X)))))&
(![X]:((curious(X)<~>generous(X))=>tall(X)))&
(![X]:((~quiet(X)<~>~calm(X))<=>(quiet(X)|~curious(X))))&
((generous(john))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:((brave(X)&~old(X))=>(~humble(X)<~>kind(X))))&
(![X]:((patient(X)&~brave(X))=>(~funny(X)&happy(X))))&
((?[X]:((~c... | ~funny(john) | [] | null | 0 |
Everyone who is either not kind or tall is not wise. If paul is not strong or not calm then someone is either kind or not old and vice versa. If someone is not old then john is both strong and rich. If someone is happy then lucy is both patient and not wise. Everyone who is strong or not curious is both not rich and ge... | Paul is not patient. | entailment | (![X]:((~kind(X)<~>tall(X))=>~wise(X)))&
(((~strong(paul)|~calm(paul)))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(~old(X)))=>((strong(john)&rich(john))))&
((?[X]:(happy(X)))=>((patient(lucy)&~wise(lucy))))&
(![X]:((strong(X)|~curious(X))<=>(~rich(X)&generous(X))))&
((?[X]:((funny(X)<~>rich(X))))=>((~quiet(susan)<~>~brav... | ~patient(paul) | [
"p4",
"p6",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 39504359271511066959937
% SZS output start Proof for 39504359271511066959937
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> (generous(X0) & ~rich(X0))) [input p4]
7. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> ~happy(X0))) [input p6]
12. ! [X0] : ((wise(X0) <~> strong(X0)) => (~calm(X0) & ~... | 0 |
Everyone who is either not tall or old is not creative or not happy and vice versa. If someone is either strong or wise then alice is curious. Everyone who is both old and quiet is wise or not old and vice versa. Everyone who is kind or not old is not happy and vice versa. If someone is kind then someone is both not hu... | Fred is happy. | entailment | (![X]:((~tall(X)<~>old(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((strong(X)<~>wise(X))))=>(curious(alice)))&
(![X]:((old(X)&quiet(X))<=>(wise(X)|~old(X))))&
(![X]:((kind(X)|~old(X))<=>~happy(X)))&
((?[X]:(kind(X)))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:((~strong(X)<~>rich(X))<=>(~curious(X)|~calm(X))))&
(![X]:((kind(X... | happy(fred) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4877020596848948719667349
% SZS output start Proof for 4877020596848948719667349
3. ! [X0] : ((quiet(X0) & old(X0)) <=> (~old(X0) | wise(X0))) [input p2]
4. ! [X0] : ((~old(X0) | kind(X0)) <=> ~happy(X0)) [input p3]
5. ? [X0] : kind(X0) => ? [X0] : (~old(X0) & ~humble(X0)) [input p4]
23. ... | 0 |
Everyone who is either not quiet or not old is not tall or funny and vice versa. If paul is not kind or not brave then paul is not wise and vice versa. If someone is not strong or wise then lucy is both not calm and creative. Everyone who is either creative or funny is either not rich or brave. Everyone who is not gene... | Lucy is not wise. | entailment | (![X]:((~quiet(X)<~>~old(X))<=>(~tall(X)|funny(X))))&
(((~kind(paul)|~brave(paul)))<=>(~wise(paul)))&
((?[X]:((~strong(X)|wise(X))))=>((~calm(lucy)&creative(lucy))))&
(![X]:((creative(X)<~>funny(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~generous(X)|old(X))<=>(strong(X)&kind(X))))&
((?[X]:((~curious(X)|~calm(X))))=>(?[X]:(... | ~wise(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7526735246421223676659628
% SZS output start Proof for 7526735246421223676659628
1. ! [X0] : ((~quiet(X0) <~> ~old(X0)) <=> (funny(X0) | ~tall(X0))) [input p0]
3. ? [X0] : (wise(X0) | ~strong(X0)) => (creative(lucy) & ~calm(lucy)) [input p2]
5. ! [X0] : ((old(X0) | ~generous(X0)) <=> (kin... | 0 |
If someone is either not creative or not quiet then someone is either not wise or quiet.
If fred is old or not generous then someone is both not tall and generous.
If susan is both not quiet and not strong then fred is either not kind or strong.
Everyone who is rich is either not tall or old and vice versa.
Everyone wh... | Lucy is not wise. | contradiction | ((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(((old(fred)|~generous(fred)))=>(?[X]:((~tall(X)&generous(X)))))&
(((~quiet(susan)&~strong(susan)))=>((~kind(fred)<~>strong(fred))))&
(![X]:(rich(X)<=>(~tall(X)<~>old(X))))&
(![X]:((~funny(X)|strong(X))=>(~creative(X)|~wise(X))))&
(((kind(susan)&~ki... | ~wise(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 159383319795563480897364
% SZS output start Proof for 159383319795563480897364
6. (~kind(susan) & kind(susan)) <=> ? [X0] : (~wise(X0) | ~humble(X0)) [input p5]
23. ~wise(lucy) [input hypothesis]
42. ((~kind(susan) & kind(susan)) | ! [X0] : (wise(X0) & humble(X0))) & (? [X0] : (~wise(X0) ... | 0 |
If someone is curious then susan is both not patient and quiet. If someone is generous then lucy is not curious or calm and vice versa. Everyone who is not strong or not curious is both patient and not old. If someone is brave or not rich then someone is not calm. Everyone who is not tall is strong or not humble and vi... | Fred is not old. | entailment | ((?[X]:(curious(X)))=>((~patient(susan)&quiet(susan))))&
((?[X]:(generous(X)))<=>((~curious(lucy)|calm(lucy))))&
(![X]:((~strong(X)|~curious(X))=>(patient(X)&~old(X))))&
((?[X]:((brave(X)|~rich(X))))=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(strong(X)|~humble(X))))&
(![X]:(~quiet(X)=>~tall(X)))&
(((~brave(john)|humble(jo... | ~old(fred) | [
"p0",
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3656818769088190481326385
% SZS output start Proof for 3656818769088190481326385
1. ? [X0] : curious(X0) => (quiet(susan) & ~patient(susan)) [input p0]
3. ! [X0] : ((~curious(X0) | ~strong(X0)) => (~old(X0) & patient(X0))) [input p2]
19. patient(susan) & ~creative(susan) [input p18]
25. o... | 0 |
Everyone who is both not funny and not happy is both not rich and tall and vice versa. Everyone who is humble or curious is both patient and wise and vice versa. Everyone who is either generous or not wise is either strong or funny and vice versa. Everyone who is either not brave or not tall is not brave. If john is ei... | Mary is not funny. | contradiction | (![X]:((~funny(X)&~happy(X))<=>(~rich(X)&tall(X))))&
(![X]:((humble(X)|curious(X))<=>(patient(X)&wise(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(strong(X)<~>funny(X))))&
(![X]:((~brave(X)<~>~tall(X))=>~brave(X)))&
(((humble(john)<~>quiet(john)))=>((rich(susan)|~old(susan))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)|happ... | ~funny(mary) | [
"p3",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8309993987168231652175801
% SZS output start Proof for 8309993987168231652175801
4. ! [X0] : ((~brave(X0) <~> ~tall(X0)) => ~brave(X0)) [input p3]
9. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (rich(X0) & ~old(X0))) [input p8]
11. ! [X0] : (~wise(X0) <=> (wise(X0) & tall(X0))) [input p10]
1... | 0 |
If someone is both quiet and not funny then fred is calm or not creative and vice versa. If someone is creative then someone is curious. Everyone who is not humble is both creative and rich and vice versa. Everyone who is either not tall or tall is not strong. Everyone who is funny is both happy and patient. Everyone w... | Fred is quiet. | contradiction | ((?[X]:((quiet(X)&~funny(X))))<=>((calm(fred)|~creative(fred))))&
((?[X]:(creative(X)))=>(?[X]:(curious(X))))&
(![X]:(~humble(X)<=>(creative(X)&rich(X))))&
(![X]:((~tall(X)<~>tall(X))=>~strong(X)))&
(![X]:(funny(X)=>(happy(X)&patient(X))))&
(![X]:(patient(X)<=>(tall(X)|wise(X))))&
((?[X]:((~humble(X)&~calm(X))))<=>(wis... | quiet(fred) | [
"p3",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7122634589625752926383780
% SZS output start Proof for 7122634589625752926383780
4. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~strong(X0)) [input p3]
9. ! [X0] : (quiet(X0) => (creative(X0) | ~kind(X0))) [input p8]
12. ! [X0] : ((strong(X0) <~> ~kind(X0)) => creative(X0)) [input p11]
15. ! [X... | 0 |
Everyone who is not curious is not generous or strong. If someone is either humble or not brave then someone is both funny and not humble and vice versa. If lucy is tall or strong then susan is generous and vice versa. Everyone who is not humble or kind is either rich or not curious. Everyone who is either not rich or ... | Susan is not humble. | contradiction | (![X]:(~curious(X)=>(~generous(X)|strong(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(((tall(lucy)|strong(lucy)))<=>(generous(susan)))&
(![X]:((~humble(X)|kind(X))=>(rich(X)<~>~curious(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~rich(X)&calm(X))))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(... | ~humble(susan) | [
"p1",
"p3",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8925675588290159965269968
% SZS output start Proof for 8925675588290159965269968
2. ? [X0] : (humble(X0) <~> ~brave(X0)) <=> ? [X0] : (~humble(X0) & funny(X0)) [input p1]
4. ! [X0] : ((kind(X0) | ~humble(X0)) => (rich(X0) <~> ~curious(X0))) [input p3]
5. ! [X0] : ((~rich(X0) <~> calm(X0))... | 0 |
Everyone who is not patient is not quiet or tall and vice versa.
Everyone who is both not tall and not strong is generous.
If someone is not patient then john is not patient or strong.
If someone is either quiet or happy then mary is patient and vice versa.
Everyone who is both patient and wise is either not curious or... | Alice is not patient. | entailment | (![X]:(~patient(X)<=>(~quiet(X)|tall(X))))&
(![X]:((~tall(X)&~strong(X))=>generous(X)))&
((?[X]:(~patient(X)))=>((~patient(john)|strong(john))))&
((?[X]:((quiet(X)<~>happy(X))))<=>(patient(mary)))&
(![X]:((patient(X)&wise(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((~tall(X)&~happy(X))<=>(~humble(X)&rich(X))))&
(![X]:((old... | ~patient(alice) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5840044904504148659559991
% SZS output start Proof for 5840044904504148659559991
1. ! [X0] : (~patient(X0) <=> (tall(X0) | ~quiet(X0))) [input p0]
16. ! [X0] : ((~quiet(X0) & quiet(X0)) <=> (~tall(X0) | calm(X0))) [input p15]
25. patient(alice) [input hypothesis]
37. ! [X0] : ((~patient(X... | 0 |
If john is both rich and strong then paul is happy or creative and vice versa. If john is humble or not funny then someone is curious or not strong and vice versa. If someone is not creative or not old then paul is not funny. If lucy is brave then someone is not brave and vice versa. Everyone who is both not curious an... | Lucy is funny. | entailment | (((rich(john)&strong(john)))<=>((happy(paul)|creative(paul))))&
(((humble(john)|~funny(john)))<=>(?[X]:((curious(X)|~strong(X)))))&
((?[X]:((~creative(X)|~old(X))))=>(~funny(paul)))&
((brave(lucy))<=>(?[X]:(~brave(X))))&
(![X]:((~curious(X)&happy(X))=>(~kind(X)&calm(X))))&
(((~happy(fred)&~tall(fred)))=>(?[X]:(tall(X))... | funny(lucy) | [
"p6",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5318771893211870948446812
% SZS output start Proof for 5318771893211870948446812
7. ? [X0] : (~old(X0) | ~funny(X0)) => ~humble(lucy) [input p6]
9. ! [X0] : ((humble(X0) | rich(X0)) <=> (curious(X0) | ~rich(X0))) [input p8]
11. (~calm(alice) | ~strong(alice)) => (~rich(lucy) | funny(lucy)... | 0 |
Everyone who is wise is both not calm and old.
If lucy is not rich or not tall then someone is both curious and not patient and vice versa.
Everyone who is not patient or not tall is wise and vice versa.
If someone is brave or not humble then alice is either not old or not happy.
If mary is strong then someone is brave... | Fred is funny. | entailment | (![X]:(wise(X)=>(~calm(X)&old(X))))&
(((~rich(lucy)|~tall(lucy)))<=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~patient(X)|~tall(X))<=>wise(X)))&
((?[X]:((brave(X)|~humble(X))))=>((~old(alice)<~>~happy(alice))))&
((strong(mary))<=>(?[X]:((brave(X)|~old(X)))))&
(((~generous(paul)|humble(paul)))=>((~generous(alice)|~hap... | funny(fred) | [
"p0",
"p2",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 817202064603877204882472
% SZS output start Proof for 817202064603877204882472
1. ! [X0] : (wise(X0) => (old(X0) & ~calm(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> wise(X0)) [input p2]
13. ! [X0] : ((curious(X0) | happy(X0)) <=> ~old(X0)) [input p12]
16. ! [X0] : ((old(X... | 0 |
If someone is either not curious or not old then lucy is not patient or strong and vice versa.
Everyone who is not wise is either not tall or tall and vice versa.
Everyone who is not funny or creative is either wise or happy.
If someone is either not brave or not funny then someone is either generous or not tall.
If so... | Alice is kind. | entailment | ((?[X]:((~curious(X)<~>~old(X))))<=>((~patient(lucy)|strong(lucy))))&
(![X]:(~wise(X)<=>(~tall(X)<~>tall(X))))&
(![X]:((~funny(X)|creative(X))=>(wise(X)<~>happy(X))))&
((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((~calm(X)|~tall(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((~rich(... | kind(alice) | [
"p1",
"p6",
"p8",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7648810489000612081788777
% SZS output start Proof for 7648810489000612081788777
2. ! [X0] : (~wise(X0) <=> (~tall(X0) <~> tall(X0))) [input p1]
7. ! [X0] : ((wise(X0) <~> funny(X0)) <=> calm(X0)) [input p6]
9. ? [X0] : (quiet(X0) <~> funny(X0)) => ~quiet(alice) [input p8]
12. ! [X0] : ((... | 0 |
If fred is not humble or not wise then someone is quiet or creative. If someone is both wise and calm then lucy is either not strong or not wise. Everyone who is not happy is either kind or not creative and vice versa. If someone is not kind then lucy is both not happy and not generous and vice versa. If someone is bot... | Lucy is patient. | entailment | (((~humble(fred)|~wise(fred)))=>(?[X]:((quiet(X)|creative(X)))))&
((?[X]:((wise(X)&calm(X))))=>((~strong(lucy)<~>~wise(lucy))))&
(![X]:(~happy(X)<=>(kind(X)<~>~creative(X))))&
((?[X]:(~kind(X)))<=>((~happy(lucy)&~generous(lucy))))&
((?[X]:((~strong(X)&old(X))))<=>((creative(fred)&rich(fred))))&
(![X]:((old(X)&patient(X... | patient(lucy) | [
"p3",
"p7",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 410759352456248885774429
% SZS output start Proof for 410759352456248885774429
4. ? [X0] : ~kind(X0) <=> (~generous(lucy) & ~happy(lucy)) [input p3]
8. ! [X0] : (~generous(X0) <=> (~strong(X0) & ~old(X0))) [input p7]
14. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (tall(X0) & strong(X0))... | 0 |
If someone is not brave then mary is either not strong or not wise and vice versa.
Everyone who is either calm or not strong is both old and creative.
Everyone who is not strong or quiet is both quiet and old.
If someone is not rich then lucy is both tall and not kind.
Everyone who is not rich or not quiet is both not ... | Fred is curious. | neutral | ((?[X]:(~brave(X)))<=>((~strong(mary)<~>~wise(mary))))&
(![X]:((calm(X)<~>~strong(X))=>(old(X)&creative(X))))&
(![X]:((~strong(X)|quiet(X))=>(quiet(X)&old(X))))&
((?[X]:(~rich(X)))=>((tall(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~quiet(X))<=>(~tall(X)&kind(X))))&
(![X]:((~wise(X)&~curious(X))<=>~happy(X)))&
(![X]:((crea... | curious(fred) | [] | null | 0 |
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