premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is not quiet or not old is calm and vice versa.
If john is not wise or curious then someone is not patient.
If paul is strong or old then paul is not tall and vice ... | Paul is not brave. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((quiet(X)&calm(X)))))&
(((happy(... | ~brave(paul) | [
"p0",
"p4",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6417385777878051930743826
% SZS output start Proof for 6417385777878051930743826
1. ! [X0] : ((~patient(X0) | patient(X0)) => (tall(X0) | calm(X0))) [input p0]
5. (old(paul) | strong(paul)) <=> ~tall(paul) [input p4]
9. ! [X0] : ((~humble(X0) | ~old(X0)) <=> funny(X0)) [input p8]
10. ? [X... | 0 |
Everyone who is humble is either not curious or not creative.
If alice is not funny or quiet then someone is not happy and vice versa.
Everyone who is calm or wise is not rich and vice versa.
If someone is quiet then john is not strong and vice versa.
If someone is both brave and humble then susan is not wise or rich a... | John is not rich. | entailment | (![X]:(humble(X)=>(~curious(X)<~>~creative(X))))&
(((~funny(alice)|quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|wise(X))<=>~rich(X)))&
((?[X]:(quiet(X)))<=>(~strong(john)))&
((?[X]:((brave(X)&humble(X))))<=>((~wise(susan)|rich(susan))))&
(![X]:((quiet(X)&~tall(X))<=>(~tall(X)<~>quiet(X))))&
(((~brave(paul)<~>~... | ~rich(john) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3768482218939802598115702
% SZS output start Proof for 3768482218939802598115702
3. ! [X0] : ((wise(X0) | calm(X0)) <=> ~rich(X0)) [input p2]
20. calm(john) [input p19]
25. rich(john) [input hypothesis]
39. ! [X0] : (((wise(X0) | calm(X0)) | rich(X0)) & (~rich(X0) | (~wise(X0) & ~calm(X0)... | 0 |
Everyone who is not patient is creative or not generous and vice versa.
Everyone who is both not brave and not creative is not wise and vice versa.
Everyone who is humble or not tall is tall or not creative and vice versa.
Everyone who is both not humble and not rich is not wise and vice versa.
If lucy is funny or not ... | Alice is creative. | contradiction | (![X]:(~patient(X)<=>(creative(X)|~generous(X))))&
(![X]:((~brave(X)&~creative(X))<=>~wise(X)))&
(![X]:((humble(X)|~tall(X))<=>(tall(X)|~creative(X))))&
(![X]:((~humble(X)&~rich(X))<=>~wise(X)))&
(((funny(lucy)|~wise(lucy)))<=>((~quiet(paul)&brave(paul))))&
(![X]:((~funny(X)<~>tall(X))=>(strong(X)|~patient(X))))&
(![X]... | creative(alice) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4331008773928650541168947
% SZS output start Proof for 4331008773928650541168947
3. ! [X0] : ((~tall(X0) | humble(X0)) <=> (~creative(X0) | tall(X0))) [input p2]
7. ! [X0] : ((~tall(X0) & happy(X0)) <=> (tall(X0) | ~brave(X0))) [input p6]
25. creative(alice) [input hypothesis]
41. ! [X0] ... | 0 |
Everyone who is tall is not creative and vice versa.
Everyone who is both not happy and quiet is not rich or old and vice versa.
Everyone who is either happy or quiet is both not old and generous and vice versa.
Everyone who is generous is both creative and quiet and vice versa.
Everyone who is either humble or quiet i... | John is not curious. | neutral | (![X]:(tall(X)<=>~creative(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~rich(X)|old(X))))&
(![X]:((happy(X)<~>quiet(X))<=>(~old(X)&generous(X))))&
(![X]:(generous(X)<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>quiet(X))=>funny(X)))&
(![X]:((old(X)&happy(X))<=>(humble(X)|~strong(X))))&
(![X]:(rich(X)=>(~humble(X)<~>~tall(X... | ~curious(john) | [] | null | 0 |
Everyone who is funny or patient is either kind or quiet. Everyone who is either happy or not strong is both not calm and not kind and vice versa. If mary is not rich then alice is either strong or not curious. Everyone who is both humble and not funny is happy or creative. If paul is not kind or old then someone is no... | Fred is kind. | neutral | (![X]:((funny(X)|patient(X))=>(kind(X)<~>quiet(X))))&
(![X]:((happy(X)<~>~strong(X))<=>(~calm(X)&~kind(X))))&
((~rich(mary))=>((strong(alice)<~>~curious(alice))))&
(![X]:((humble(X)&~funny(X))=>(happy(X)|creative(X))))&
(((~kind(paul)|old(paul)))=>(?[X]:((~calm(X)|~wise(X)))))&
(((~generous(john)&kind(john)))<=>(brave(... | kind(fred) | [] | null | 0 |
Everyone who is old or wise is both funny and not creative and vice versa.
If someone is both strong and wise then someone is either not quiet or quiet.
Everyone who is strong is happy or not rich.
If someone is humble or not old then fred is old and vice versa.
Everyone who is calm or not creative is either not humble... | Alice is humble. | entailment | (![X]:((old(X)|wise(X))<=>(funny(X)&~creative(X))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:(strong(X)=>(happy(X)|~rich(X))))&
((?[X]:((humble(X)|~old(X))))<=>(old(fred)))&
(![X]:((calm(X)|~creative(X))=>(~humble(X)<~>calm(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>~pa... | humble(alice) | [
"p0",
"p4",
"p7",
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 65012060390655741254803
% SZS output start Proof for 65012060390655741254803
1. ! [X0] : ((wise(X0) | old(X0)) <=> (~creative(X0) & funny(X0))) [input p0]
5. ! [X0] : ((~creative(X0) | calm(X0)) => (~humble(X0) <~> calm(X0))) [input p4]
8. ! [X0] : ((old(X0) & happy(X0)) <=> (calm(X0) | ~... | 0 |
Everyone who is either strong or not rich is generous or not patient. Everyone who is not old is either not calm or kind and vice versa. Everyone who is not strong is either not humble or brave and vice versa. Everyone who is not quiet or not funny is both quiet and not creative and vice versa. If mary is not tall then... | Susan is strong. | contradiction | (![X]:((strong(X)<~>~rich(X))=>(generous(X)|~patient(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>kind(X))))&
(![X]:(~strong(X)<=>(~humble(X)<~>brave(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(quiet(X)&~creative(X))))&
((~tall(mary))<=>(~calm(fred)))&
(![X]:(~generous(X)<=>(quiet(X)|happy(X))))&
(((~happy(susan)&~humble(susan)))=>(... | strong(susan) | [
"p3",
"p5",
"p8",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4690272376077815668504280
% SZS output start Proof for 4690272376077815668504280
4. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (~creative(X0) & quiet(X0))) [input p3]
6. ! [X0] : (~generous(X0) <=> (happy(X0) | quiet(X0))) [input p5]
9. ! [X0] : (~funny(X0) => ~humble(X0)) [input p8]
15. ! [... | 0 |
If someone is both tall and not curious then someone is kind or old. Everyone who is not old is calm and vice versa. Everyone who is not curious or creative is both not calm and quiet. If someone is quiet or kind then mary is not happy. If alice is either not curious or quiet then mary is not patient or not happy. If l... | Paul is happy. | entailment | ((?[X]:((tall(X)&~curious(X))))=>(?[X]:((kind(X)|old(X)))))&
(![X]:(~old(X)<=>calm(X)))&
(![X]:((~curious(X)|creative(X))=>(~calm(X)&quiet(X))))&
((?[X]:((quiet(X)|kind(X))))=>(~happy(mary)))&
(((~curious(alice)<~>quiet(alice)))=>((~patient(mary)|~happy(mary))))&
((~strong(lucy))=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:... | happy(paul) | [
"p2",
"p7",
"p9",
"p11",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 377717334370956731166047
% SZS output start Proof for 377717334370956731166047
3. ! [X0] : ((creative(X0) | ~curious(X0)) => (quiet(X0) & ~calm(X0))) [input p2]
8. ? [X0] : (~happy(X0) & ~creative(X0)) <=> ~wise(lucy) [input p7]
10. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | ~... | 0 |
Everyone who is rich is both funny and not brave.
Everyone who is either curious or kind is humble.
If paul is quiet then someone is either rich or not strong.
Everyone who is wise or creative is both not quiet and not patient.
If someone is both happy and not happy then someone is either not tall or strong and vice ve... | Alice is old. | entailment | (![X]:(rich(X)=>(funny(X)&~brave(X))))&
(![X]:((curious(X)<~>kind(X))=>humble(X)))&
((quiet(paul))=>(?[X]:((rich(X)<~>~strong(X)))))&
(![X]:((wise(X)|creative(X))=>(~quiet(X)&~patient(X))))&
((?[X]:((happy(X)&~happy(X))))<=>(?[X]:((~tall(X)<~>strong(X)))))&
(![X]:((patient(X)<~>humble(X))<=>~wise(X)))&
((?[X]:(funny(X)... | old(alice) | [
"p3",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 375924915633307124135866
% SZS output start Proof for 375924915633307124135866
4. ! [X0] : ((creative(X0) | wise(X0)) => (~patient(X0) & ~quiet(X0))) [input p3]
6. ! [X0] : ((patient(X0) <~> humble(X0)) <=> ~wise(X0)) [input p5]
10. ! [X0] : ((~calm(X0) | ~humble(X0)) => (~rich(X0) & old(... | 0 |
Everyone who is strong is not old and vice versa. Everyone who is rich or not generous is not funny or strong. Everyone who is not patient or strong is both not rich and rich and vice versa. If someone is both strong and kind then someone is not tall or kind. Everyone who is patient is both quiet and not kind. Everyone... | Alice is wise. | entailment | (![X]:(strong(X)<=>~old(X)))&
(![X]:((rich(X)|~generous(X))=>(~funny(X)|strong(X))))&
(![X]:((~patient(X)|strong(X))<=>(~rich(X)&rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(patient(X)=>(quiet(X)&~kind(X))))&
(![X]:(~patient(X)<=>(quiet(X)<~>wise(X))))&
(![X]:((~humble(X)&strong(X))<=... | wise(alice) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1945150466988110422348811
% SZS output start Proof for 1945150466988110422348811
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(X0))) [input p2]
5. ! [X0] : (patient(X0) => (~kind(X0) & quiet(X0))) [input p4]
6. ! [X0] : (~patient(X0) <=> (quiet(X0) <~> wise(X0))) [input p... | 0 |
If someone is either not generous or kind then someone is either old or calm.
Everyone who is not generous is old.
Everyone who is not kind or kind is not happy and vice versa.
If paul is humble or happy then john is old or not patient and vice versa.
Everyone who is either not kind or not old is both not kind and tall... | Paul is calm. | neutral | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:((old(X)<~>calm(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~kind(X)|kind(X))<=>~happy(X)))&
(((humble(paul)|happy(paul)))<=>((old(john)|~patient(john))))&
(![X]:((~kind(X)<~>~old(X))<=>(~kind(X)&tall(X))))&
(![X]:(~happy(X)=>(~humble(X)&quiet(X))))&
(![X]:((~strong(X)&rich(... | calm(paul) | [] | null | 0 |
Everyone who is curious is either not wise or not strong and vice versa. If someone is not curious or creative then susan is not generous and vice versa. Everyone who is not kind or strong is both not generous and not calm and vice versa. Everyone who is both funny and not strong is both not funny and not kind. If some... | John is rich. | neutral | (![X]:(curious(X)<=>(~wise(X)<~>~strong(X))))&
((?[X]:((~curious(X)|creative(X))))<=>(~generous(susan)))&
(![X]:((~kind(X)|strong(X))<=>(~generous(X)&~calm(X))))&
(![X]:((funny(X)&~strong(X))=>(~funny(X)&~kind(X))))&
((?[X]:((patient(X)<~>~humble(X))))<=>((creative(alice)<~>calm(alice))))&
(((~happy(fred)<~>strong(fred... | rich(john) | [] | null | 0 |
Everyone who is both not happy and not strong is not funny or not brave and vice versa.
Everyone who is both humble and not patient is not kind and vice versa.
If someone is wise or not humble then someone is quiet.
If john is either brave or not rich then lucy is funny or happy.
If john is both humble and not curious ... | Alice is strong. | entailment | (![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
((?[X]:((wise(X)|~humble(X))))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|happy(lucy))))&
(((humble(john)&~curious(john)))=>(?[X]:((calm(X)|~tall(X)))))&
((?[X]:((patient(X)|~quiet(X))))=>(?[X]:... | strong(alice) | [
"p0",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7323004793770810591183251
% SZS output start Proof for 7323004793770810591183251
1. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p0]
8. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~creative(X0))) [input p7]
9. ! [X0] : ((~funny(X0) <~> patient(X0)) <... | 0 |
Everyone who is either not humble or wise is not calm and vice versa.
Everyone who is either funny or strong is humble or calm.
If alice is either quiet or not generous then someone is not brave and vice versa.
Everyone who is generous or not funny is either tall or not rich.
If susan is rich or strong then fred is bot... | Alice is happy. | entailment | (![X]:((~humble(X)<~>wise(X))<=>~calm(X)))&
(![X]:((funny(X)<~>strong(X))=>(humble(X)|calm(X))))&
(((quiet(alice)<~>~generous(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((generous(X)|~funny(X))=>(tall(X)<~>~rich(X))))&
(((rich(susan)|strong(susan)))<=>((~strong(fred)&~happy(fred))))&
(![X]:((calm(X)&~rich(X))<=>happy(X)))&
... | happy(alice) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 10745599339554462526709
% SZS output start Proof for 10745599339554462526709
11. ? [X0] : (~old(X0) | patient(X0)) => (happy(alice) & wise(alice)) [input p10]
12. ! [X0] : (humble(X0) <=> (humble(X0) <~> ~calm(X0))) [input p11]
14. ~calm(fred) <=> (~quiet(john) | ~patient(john)) [input p1... | 0 |
Everyone who is both quiet and not creative is strong.
If someone is old then someone is not generous or calm.
Everyone who is not humble or not funny is old or rich and vice versa.
Everyone who is generous or quiet is both quiet and creative.
If paul is either not humble or not rich then someone is creative and vice v... | Lucy is not humble. | entailment | (![X]:((quiet(X)&~creative(X))=>strong(X)))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funny(X))<=>(old(X)|rich(X))))&
(![X]:((generous(X)|quiet(X))=>(quiet(X)&creative(X))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:(creative(X))))&
(((~creative(paul)|funny(paul)))=>(?[X]:(~quiet(X))))&
(... | ~humble(lucy) | [
"p3",
"p9",
"p10",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5780219269547826819907245
% SZS output start Proof for 5780219269547826819907245
4. ! [X0] : ((quiet(X0) | generous(X0)) => (creative(X0) & quiet(X0))) [input p3]
10. ! [X0] : ((~patient(X0) | ~tall(X0)) => rich(X0)) [input p9]
11. ! [X0] : ((funny(X0) <~> ~rich(X0)) <=> (generous(X0) & q... | 0 |
Everyone who is both not calm and quiet is not kind or strong and vice versa.
Everyone who is not wise or patient is happy.
If alice is old or not curious then someone is both not brave and not patient and vice versa.
If lucy is not humble then someone is both generous and wise.
If someone is creative then fred is both... | Lucy is generous. | entailment | (![X]:((~calm(X)&quiet(X))<=>(~kind(X)|strong(X))))&
(![X]:((~wise(X)|patient(X))=>happy(X)))&
(((old(alice)|~curious(alice)))<=>(?[X]:((~brave(X)&~patient(X)))))&
((~humble(lucy))=>(?[X]:((generous(X)&wise(X)))))&
((?[X]:(creative(X)))<=>((wise(fred)&~brave(fred))))&
(((calm(alice)|~quiet(alice)))<=>((happy(lucy)&curi... | generous(lucy) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1097870933527393613425082
% SZS output start Proof for 1097870933527393613425082
9. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~strong(X0)) [input p8]
23. ~strong(lucy) & happy(lucy) [input p22]
25. ~generous(lucy) [input hypothesis]
59. ! [X0] : (((~quiet(X0) & generous(X0)) | strong(X0))... | 0 |
Everyone who is both not old and tall is not old or not creative and vice versa.
If alice is both humble and not wise then someone is rich.
If someone is either not strong or kind then susan is either old or tall.
Everyone who is either not generous or brave is not patient or brave and vice versa.
If alice is generous ... | John is not rich. | contradiction | (![X]:((~old(X)&tall(X))<=>(~old(X)|~creative(X))))&
(((humble(alice)&~wise(alice)))=>(?[X]:(rich(X))))&
((?[X]:((~strong(X)<~>kind(X))))=>((old(susan)<~>tall(susan))))&
(![X]:((~generous(X)<~>brave(X))<=>(~patient(X)|brave(X))))&
((generous(alice))=>((rich(alice)|strong(alice))))&
(![X]:((funny(X)|~calm(X))<=>(creativ... | ~rich(john) | [
"p3",
"p7",
"p11",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1282598920838865968932548
% SZS output start Proof for 1282598920838865968932548
4. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> (brave(X0) | ~patient(X0))) [input p3]
8. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (brave(X0) <~> rich(X0))) [input p7]
12. ! [X0] : ((kind(X0) & old(X0)) <=> (~r... | 0 |
Everyone who is not kind or strong is both calm and rich and vice versa.
If someone is both not old and not rich then someone is either not kind or not brave and vice versa.
Everyone who is funny is either funny or calm.
If someone is both tall and not old then lucy is humble and vice versa.
If fred is quiet or creativ... | Paul is strong. | contradiction | (![X]:((~kind(X)|strong(X))<=>(calm(X)&rich(X))))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:((~kind(X)<~>~brave(X)))))&
(![X]:(funny(X)=>(funny(X)<~>calm(X))))&
((?[X]:((tall(X)&~old(X))))<=>(humble(lucy)))&
(((quiet(fred)|creative(fred)))<=>(?[X]:((humble(X)<~>tall(X)))))&
((~generous(fred))<=>((tall(lucy)|~tall(lucy))))&... | strong(paul) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2360341279312416657601609
% SZS output start Proof for 2360341279312416657601609
1. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (rich(X0) & calm(X0))) [input p0]
14. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> (strong(X0) | ~strong(X0))) [input p13]
25. strong(paul) [input hypothesis]
37. ! [X0] :... | 0 |
Everyone who is not calm is not wise or not quiet.
If someone is not happy then someone is either tall or strong and vice versa.
Everyone who is either calm or creative is brave or strong.
Everyone who is curious or quiet is not brave.
If someone is creative or rich then someone is tall and vice versa.
If someone is no... | Susan is wise. | neutral | (![X]:(~calm(X)=>(~wise(X)|~quiet(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((tall(X)<~>strong(X)))))&
(![X]:((calm(X)<~>creative(X))=>(brave(X)|strong(X))))&
(![X]:((curious(X)|quiet(X))=>~brave(X)))&
((?[X]:((creative(X)|rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:(~wise(X)))=>(?[X]:((tall(X)|~brave(X)))))&
((quiet(susan))<=>((r... | wise(susan) | [] | null | 0 |
Everyone who is both not calm and patient is not rich or not tall and vice versa.
Everyone who is either not calm or not wise is either not strong or wise and vice versa.
Everyone who is both not curious and rich is not creative.
Everyone who is humble or creative is both not tall and not old and vice versa.
Everyone w... | Susan is brave. | contradiction | (![X]:((~calm(X)&patient(X))<=>(~rich(X)|~tall(X))))&
(![X]:((~calm(X)<~>~wise(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((~curious(X)&rich(X))=>~creative(X)))&
(![X]:((humble(X)|creative(X))<=>(~tall(X)&~old(X))))&
(![X]:(~generous(X)=>funny(X)))&
(![X]:((~patient(X)|calm(X))<=>~tall(X)))&
(((quiet(mary)<~>~curious(mary))... | brave(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 422308972909251228568152
% SZS output start Proof for 422308972909251228568152
10. ! [X0] : ((happy(X0) | ~happy(X0)) <=> (~brave(X0) & ~wise(X0))) [input p9]
22. brave(susan) [input hypothesis]
52. ! [X0] : (((happy(X0) | ~happy(X0)) | (brave(X0) | wise(X0))) & ((~brave(X0) & ~wise(X0)) ... | 0 |
Everyone who is brave is either not kind or creative.
Everyone who is either wise or not rich is strong or not calm and vice versa.
Everyone who is humble is both patient and not quiet.
Everyone who is both not happy and rich is both happy and not old.
If someone is either not brave or not generous then mary is not fun... | Susan is old. | contradiction | (![X]:(brave(X)=>(~kind(X)<~>creative(X))))&
(![X]:((wise(X)<~>~rich(X))<=>(strong(X)|~calm(X))))&
(![X]:(humble(X)=>(patient(X)&~quiet(X))))&
(![X]:((~happy(X)&rich(X))=>(happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>~generous(X))))=>((~funny(mary)|brave(mary))))&
(![X]:((creative(X)|~tall(X))<=>(old(X)<~>calm(X))))&
(![X... | old(susan) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5921374247394847843670541
% SZS output start Proof for 5921374247394847843670541
3. ! [X0] : (humble(X0) => (~quiet(X0) & patient(X0))) [input p2]
10. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~old(X0) <~> humble(X0))) [input p9]
13. ! [X0] : ((quiet(X0) & ~wise(X0)) <=> patient(X0)) [input... | 0 |
If paul is tall then someone is not wise or not creative.
If susan is not kind or kind then someone is either not rich or not happy and vice versa.
Everyone who is either curious or not funny is either not generous or not curious.
If fred is curious or rich then paul is not old or not tall.
If fred is not funny then so... | Lucy is creative. | contradiction | ((tall(paul))=>(?[X]:((~wise(X)|~creative(X)))))&
(((~kind(susan)|kind(susan)))<=>(?[X]:((~rich(X)<~>~happy(X)))))&
(![X]:((curious(X)<~>~funny(X))=>(~generous(X)<~>~curious(X))))&
(((curious(fred)|rich(fred)))=>((~old(paul)|~tall(paul))))&
((~funny(fred))<=>(?[X]:((~quiet(X)<~>funny(X)))))&
((?[X]:((tall(X)&~calm(X)))... | creative(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2470427982109115681322128
% SZS output start Proof for 2470427982109115681322128
10. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : creative(X0) [input p9]
25. creative(lucy) [input hypothesis]
26. ? [X0] : (~old(X0) & old(X0)) <=> ? [X1] : creative(X1) [rectify 10]
56. (? [X0] : (~old(X0) & ... | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Paul is kind. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | kind(paul) | [
"p4",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8428918922405498990223061
% SZS output start Proof for 8428918922405498990223061
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
12. ~happy(lucy) <=> (~creative(fred) <~> rich(fred)) [input p11]
15. ? [X0] : rich(X0) => kind(paul) [input p14]
16. ! [X0] : (~happy(X0) <=> ric... | 0 |
If paul is either tall or not happy then someone is either happy or kind and vice versa.
Everyone who is kind or not happy is patient or not curious and vice versa.
If someone is happy then someone is either not happy or curious and vice versa.
Everyone who is not old or generous is both not happy and not wise and vice... | Mary is not patient. | contradiction | (((tall(paul)<~>~happy(paul)))<=>(?[X]:((happy(X)<~>kind(X)))))&
(![X]:((kind(X)|~happy(X))<=>(patient(X)|~curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~happy(X)<~>curious(X)))))&
(![X]:((~old(X)|generous(X))<=>(~happy(X)&~wise(X))))&
((funny(mary))=>(?[X]:((~patient(X)|~funny(X)))))&
(![X]:((~happy(X)<~>generous(X))<=>... | ~patient(mary) | [
"p1",
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8798608411805906531552497
% SZS output start Proof for 8798608411805906531552497
2. ! [X0] : ((~happy(X0) | kind(X0)) <=> (~curious(X0) | patient(X0))) [input p1]
3. ? [X0] : happy(X0) <=> ? [X0] : (~happy(X0) <~> curious(X0)) [input p2]
4. ! [X0] : ((generous(X0) | ~old(X0)) <=> (~wise(X... | 0 |
If lucy is either not happy or not strong then fred is either not funny or tall and vice versa.
Everyone who is tall or not quiet is both not calm and not funny and vice versa.
If john is curious or not wise then mary is either calm or happy.
Everyone who is either curious or creative is not funny or curious and vice v... | Susan is not calm. | entailment | (((~happy(lucy)<~>~strong(lucy)))<=>((~funny(fred)<~>tall(fred))))&
(![X]:((tall(X)|~quiet(X))<=>(~calm(X)&~funny(X))))&
(((curious(john)|~wise(john)))=>((calm(mary)<~>happy(mary))))&
(![X]:((curious(X)<~>creative(X))<=>(~funny(X)|curious(X))))&
(((~creative(alice)|~humble(alice)))<=>(?[X]:((happy(X)&~old(X)))))&
((?[X... | ~calm(susan) | [
"p1",
"p3",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1816360636119735441802219
% SZS output start Proof for 1816360636119735441802219
2. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (~funny(X0) & ~calm(X0))) [input p1]
4. ! [X0] : ((curious(X0) <~> creative(X0)) <=> (curious(X0) | ~funny(X0))) [input p3]
8. ! [X0] : ((~generous(X0) & ~curious(X0))... | 0 |
Everyone who is both not tall and not brave is either curious or not old and vice versa.
Everyone who is creative is humble.
If fred is kind or rich then someone is not generous.
If mary is either patient or brave then mary is both not creative and strong.
Everyone who is either rich or not quiet is either strong or no... | Mary is not funny. | neutral | (![X]:((~tall(X)&~brave(X))<=>(curious(X)<~>~old(X))))&
(![X]:(creative(X)=>humble(X)))&
(((kind(fred)|rich(fred)))=>(?[X]:(~generous(X))))&
(((patient(mary)<~>brave(mary)))=>((~creative(mary)&strong(mary))))&
(![X]:((rich(X)<~>~quiet(X))<=>(strong(X)<~>~creative(X))))&
(![X]:(~tall(X)=>(~brave(X)&rich(X))))&
(![X]:((t... | ~funny(mary) | [] | null | 0 |
Everyone who is either wise or curious is either not brave or tall and vice versa.
If john is both quiet and not quiet then paul is not funny and vice versa.
If susan is either happy or rich then susan is humble.
If someone is humble or generous then someone is both brave and not generous and vice versa.
If someone is ... | Mary is happy. | neutral | (![X]:((wise(X)<~>curious(X))<=>(~brave(X)<~>tall(X))))&
(((quiet(john)&~quiet(john)))<=>(~funny(paul)))&
(((happy(susan)<~>rich(susan)))=>(humble(susan)))&
((?[X]:((humble(X)|generous(X))))<=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((patient(X)&curious(X))))<=>((curious(paul)|funny(paul))))&
((?[X]:((~humble(X)<~>wi... | happy(mary) | [] | null | 0 |
Everyone who is both not kind and rich is not funny and vice versa.
If someone is both brave and not patient then alice is both not humble and creative and vice versa.
Everyone who is curious is not tall or happy and vice versa.
If someone is generous then someone is rich or funny and vice versa.
Everyone who is not hu... | Mary is strong. | entailment | (![X]:((~kind(X)&rich(X))<=>~funny(X)))&
((?[X]:((brave(X)&~patient(X))))<=>((~humble(alice)&creative(alice))))&
(![X]:(curious(X)<=>(~tall(X)|happy(X))))&
((?[X]:(generous(X)))<=>(?[X]:((rich(X)|funny(X)))))&
(![X]:(~humble(X)=>(~calm(X)&~strong(X))))&
(![X]:(rich(X)<=>(kind(X)|~rich(X))))&
(![X]:(generous(X)<=>(~old(... | strong(mary) | [
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7709909424592134638850516
% SZS output start Proof for 7709909424592134638850516
6. ! [X0] : (rich(X0) <=> (~rich(X0) | kind(X0))) [input p5]
8. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (~strong(X0) <~> rich(X0))) [input p7]
12. ! [X0] : ((~brave(X0) | quiet(X0)) <=> (wise(X0) & ~quiet(X0... | 0 |
If someone is calm then alice is both creative and tall and vice versa. Everyone who is both not patient and funny is either brave or funny. Everyone who is either tall or not generous is not calm or not happy. Everyone who is either not humble or strong is rich. Everyone who is quiet or not patient is creative. If joh... | Paul is rich. | entailment | ((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~calm(X)|~happy(X))))&
(![X]:((~humble(X)<~>strong(X))=>rich(X)))&
(![X]:((quiet(X)|~patient(X))=>creative(X)))&
((~patient(john))<=>(?[X]:((wise(X)&~kind(X)))))&
((~humble(fre... | rich(paul) | [
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 695214193691630216182883
% SZS output start Proof for 695214193691630216182883
9. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [input p8]
10. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p9]
11. ! [X0] : ((~creative(X0) & funny(X0)) <=> ... | 0 |
Everyone who is either not humble or old is strong or calm and vice versa.
Everyone who is not strong or curious is both not tall and not brave and vice versa.
Everyone who is both not tall and creative is either not patient or not funny and vice versa.
Everyone who is both funny and not creative is either not old or q... | John is strong. | entailment | (![X]:((~humble(X)<~>old(X))<=>(strong(X)|calm(X))))&
(![X]:((~strong(X)|curious(X))<=>(~tall(X)&~brave(X))))&
(![X]:((~tall(X)&creative(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((funny(X)&~creative(X))<=>(~old(X)<~>quiet(X))))&
(((~rich(mary)|humble(mary)))<=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:(kind(X)))=>(creative(p... | strong(john) | [
"p0",
"p1",
"p10",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1410723407089880965525011
% SZS output start Proof for 1410723407089880965525011
1. ! [X0] : ((~humble(X0) <~> old(X0)) <=> (calm(X0) | strong(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~brave(X0) & ~tall(X0))) [input p1]
11. ! [X0] : ((~kind(X0) | ~funny(X0)) <=> (tal... | 0 |
Everyone who is creative or brave is either not tall or old and vice versa. If someone is either curious or not creative then someone is not funny. Everyone who is not quiet is not curious or not funny. Everyone who is both creative and humble is either not kind or not tall. If someone is not curious or creative then s... | Paul is old. | entailment | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((curious(X)<~>~creative(X))))=>(?[X]:(~funny(X))))&
(![X]:(~quiet(X)=>(~curious(X)|~funny(X))))&
(![X]:((creative(X)&humble(X))=>(~kind(X)<~>~tall(X))))&
((?[X]:((~curious(X)|creative(X))))<=>((~creative(susan)&~quiet(susan))))&
(((~strong(fred)&patient(fre... | old(paul) | [
"p8",
"p14",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7275548598858324023133463
% SZS output start Proof for 7275548598858324023133463
9. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~strong(X0) & wise(X0))) [input p8]
15. ! [X0] : ((old(X0) <~> funny(X0)) => (creative(X0) <~> wise(X0))) [input p14]
17. funny(paul) [input p16]
23. creative(paul) [i... | 0 |
If someone is both old and patient then someone is old. Everyone who is either humble or not happy is not wise or curious and vice versa. If someone is not humble then someone is either rich or kind and vice versa. If john is either funny or patient then someone is either kind or not rich and vice versa. Everyone who i... | Paul is rich. | neutral | ((?[X]:((old(X)&patient(X))))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>~happy(X))<=>(~wise(X)|curious(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((rich(X)<~>kind(X)))))&
(((funny(john)<~>patient(john)))<=>(?[X]:((kind(X)<~>~rich(X)))))&
(![X]:(~humble(X)<=>(~calm(X)&tall(X))))&
(![X]:((~calm(X)<~>~funny(X))=>(~patient(X)|~kind(... | rich(paul) | [] | null | 0 |
Everyone who is not quiet is funny.
Everyone who is creative or strong is strong or patient and vice versa.
Everyone who is both not kind and kind is either patient or creative.
Everyone who is not kind is not rich.
Everyone who is both happy and not old is not calm and vice versa.
Everyone who is happy is both not cre... | John is not rich. | entailment | (![X]:(~quiet(X)=>funny(X)))&
(![X]:((creative(X)|strong(X))<=>(strong(X)|patient(X))))&
(![X]:((~kind(X)&kind(X))=>(patient(X)<~>creative(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X)<=>(~creative(X)&brave(X))))&
(((~kind(john)<~>calm(john)))<=>(?[X]:(rich(X))))&
(![X]:((c... | ~rich(john) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8132942912006723036249421
% SZS output start Proof for 8132942912006723036249421
4. ! [X0] : (~kind(X0) => ~rich(X0)) [input p3]
5. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p4]
6. ! [X0] : (happy(X0) <=> (brave(X0) & ~creative(X0))) [input p5]
7. (~kind(john) <~> calm(john))... | 0 |
If mary is either not calm or wise then someone is not generous or curious. Everyone who is tall is both not wise and kind. Everyone who is curious is not old or humble. If someone is either not wise or strong then alice is both not kind and not calm and vice versa. Everyone who is happy or not kind is either not gener... | Mary is calm. | neutral | (((~calm(mary)<~>wise(mary)))=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:(tall(X)=>(~wise(X)&kind(X))))&
(![X]:(curious(X)=>(~old(X)|humble(X))))&
((?[X]:((~wise(X)<~>strong(X))))<=>((~kind(alice)&~calm(alice))))&
(![X]:((happy(X)|~kind(X))=>(~generous(X)<~>calm(X))))&
(![X]:(kind(X)=>(patient(X)&~kind(X))))&
(![X]:((... | calm(mary) | [] | null | 0 |
Everyone who is not calm or patient is old.
Everyone who is old or not kind is both calm and generous and vice versa.
Everyone who is either not rich or wise is both not humble and curious and vice versa.
If someone is not creative or not calm then susan is either not old or not strong and vice versa.
Everyone who is o... | John is not rich. | entailment | (![X]:((~calm(X)|patient(X))=>old(X)))&
(![X]:((old(X)|~kind(X))<=>(calm(X)&generous(X))))&
(![X]:((~rich(X)<~>wise(X))<=>(~humble(X)&curious(X))))&
((?[X]:((~creative(X)|~calm(X))))<=>((~old(susan)<~>~strong(susan))))&
(![X]:(old(X)=>(quiet(X)<~>~strong(X))))&
(![X]:(~strong(X)=>(kind(X)<~>~calm(X))))&
((?[X]:(~curiou... | ~rich(john) | [
"p0",
"p1",
"p2",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5324028920070587348305191
% SZS output start Proof for 5324028920070587348305191
1. ! [X0] : ((patient(X0) | ~calm(X0)) => old(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | old(X0)) <=> (generous(X0) & calm(X0))) [input p1]
3. ! [X0] : ((~rich(X0) <~> wise(X0)) <=> (curious(X0) & ~humble(X0))... | 0 |
Everyone who is not generous or not humble is not strong and vice versa.
If mary is both humble and not rich then someone is both creative and kind and vice versa.
Everyone who is either not old or not rich is either old or quiet.
Everyone who is humble or not strong is creative and vice versa.
Everyone who is not wise... | John is creative. | entailment | (![X]:((~generous(X)|~humble(X))<=>~strong(X)))&
(((humble(mary)&~rich(mary)))<=>(?[X]:((creative(X)&kind(X)))))&
(![X]:((~old(X)<~>~rich(X))=>(old(X)<~>quiet(X))))&
(![X]:((humble(X)|~strong(X))<=>creative(X)))&
(![X]:(~wise(X)=>~happy(X)))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)<~>wise(X))))&
((?[X]:((~curious(X)<~>... | creative(john) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2765753613167844852171990
% SZS output start Proof for 2765753613167844852171990
1. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> ~strong(X0)) [input p0]
4. ! [X0] : ((~strong(X0) | humble(X0)) <=> creative(X0)) [input p3]
24. ~creative(john) [input hypothesis]
38. ! [X0] : (((~humble(X0) |... | 0 |
Everyone who is both not kind and kind is creative and vice versa. If mary is calm then someone is either not brave or not humble and vice versa. Everyone who is not humble or brave is either not funny or not brave. Everyone who is old or kind is funny and vice versa. Everyone who is both rich and not tall is not funny... | John is old. | entailment | (![X]:((~kind(X)&kind(X))<=>creative(X)))&
((calm(mary))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:((~humble(X)|brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((old(X)|kind(X))<=>funny(X)))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mar... | old(john) | [
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4317651837170478189656993
% SZS output start Proof for 4317651837170478189656993
4. ! [X0] : ((kind(X0) | old(X0)) <=> funny(X0)) [input p3]
5. ! [X0] : ((~tall(X0) & rich(X0)) <=> (kind(X0) | ~funny(X0))) [input p4]
6. ! [X0] : ((rich(X0) & ~old(X0)) => (~curious(X0) & ~rich(X0))) [input... | 0 |
If someone is not old or not kind then someone is not generous. Everyone who is either not strong or creative is either not wise or funny. Everyone who is either not rich or generous is happy or not old. Everyone who is both tall and not brave is generous and vice versa. If mary is both curious and old then someone is ... | John is not rich. | contradiction | ((?[X]:((~old(X)|~kind(X))))=>(?[X]:(~generous(X))))&
(![X]:((~strong(X)<~>creative(X))=>(~wise(X)<~>funny(X))))&
(![X]:((~rich(X)<~>generous(X))=>(happy(X)|~old(X))))&
(![X]:((tall(X)&~brave(X))<=>generous(X)))&
(((curious(mary)&old(mary)))=>(?[X]:((~brave(X)|kind(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(creative(X))))&
(!... | ~rich(john) | [
"p1",
"p3",
"p6",
"p7",
"p9",
"p11",
"p13",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1372563572589390002291074
% SZS output start Proof for 1372563572589390002291074
2. ! [X0] : ((~strong(X0) <~> creative(X0)) => (~wise(X0) <~> funny(X0))) [input p1]
4. ! [X0] : ((~brave(X0) & tall(X0)) <=> generous(X0)) [input p3]
7. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (strong(X0) &... | 0 |
Everyone who is not brave or curious is not tall or not strong and vice versa.
If someone is either not wise or not old then john is kind.
If someone is both not calm and funny then alice is not old.
Everyone who is either creative or patient is not tall and vice versa.
Everyone who is not kind is either not creative o... | Alice is calm. | entailment | (![X]:((~brave(X)|curious(X))<=>(~tall(X)|~strong(X))))&
((?[X]:((~wise(X)<~>~old(X))))=>(kind(john)))&
((?[X]:((~calm(X)&funny(X))))=>(~old(alice)))&
(![X]:((creative(X)<~>patient(X))<=>~tall(X)))&
(![X]:(~kind(X)<=>(~creative(X)<~>patient(X))))&
(![X]:(wise(X)<=>(~generous(X)|tall(X))))&
((?[X]:((~humble(X)|~rich(X))... | calm(alice) | [
"p0",
"p3",
"p4",
"p8",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7842672913541728479409656
% SZS output start Proof for 7842672913541728479409656
1. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~strong(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((creative(X0) <~> patient(X0)) <=> ~tall(X0)) [input p3]
5. ! [X0] : (~kind(X0) <=> (~creative(X0) <~> patient(X0... | 0 |
Everyone who is both calm and rich is not old or not funny and vice versa. If lucy is not curious or not generous then alice is not creative. Everyone who is not old or not calm is both kind and not calm and vice versa. If paul is both not happy and curious then alice is either old or funny and vice versa. If lucy is e... | Mary is not old. | contradiction | (![X]:((calm(X)&rich(X))<=>(~old(X)|~funny(X))))&
(((~curious(lucy)|~generous(lucy)))=>(~creative(alice)))&
(![X]:((~old(X)|~calm(X))<=>(kind(X)&~calm(X))))&
(((~happy(paul)&curious(paul)))<=>((old(alice)<~>funny(alice))))&
(((wise(lucy)<~>~patient(lucy)))<=>((~rich(susan)&~tall(susan))))&
(![X]:((humble(X)|~tall(X))<=... | ~old(mary) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2592584778268934286324300
% SZS output start Proof for 2592584778268934286324300
1. ! [X0] : ((rich(X0) & calm(X0)) <=> (~funny(X0) | ~old(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~old(X0)) <=> (~calm(X0) & kind(X0))) [input p2]
23. ~old(mary) [input hypothesis]
29. ! [X0] : (((rich(X0)... | 0 |
If someone is either not wise or creative then someone is both brave and not wise and vice versa.
Everyone who is both curious and brave is not curious or not patient and vice versa.
Everyone who is either not happy or not brave is either not generous or calm.
If someone is both generous and not curious then lucy is ei... | John is not quiet. | neutral | ((?[X]:((~wise(X)<~>creative(X))))<=>(?[X]:((brave(X)&~wise(X)))))&
(![X]:((curious(X)&brave(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~generous(X)<~>calm(X))))&
((?[X]:((generous(X)&~curious(X))))=>((~humble(lucy)<~>calm(lucy))))&
(![X]:(~strong(X)<=>(~rich(X)|~wise(X))))&
((?[X]:((~creative(... | ~quiet(john) | [] | null | 0 |
If mary is not curious then someone is not old and vice versa.
Everyone who is funny or not patient is funny or curious and vice versa.
If someone is either not creative or tall then susan is not brave and vice versa.
Everyone who is both not humble and strong is calm or not generous and vice versa.
Everyone who is old... | Mary is calm. | entailment | ((~curious(mary))<=>(?[X]:(~old(X))))&
(![X]:((funny(X)|~patient(X))<=>(funny(X)|curious(X))))&
((?[X]:((~creative(X)<~>tall(X))))<=>(~brave(susan)))&
(![X]:((~humble(X)&strong(X))<=>(calm(X)|~generous(X))))&
(![X]:(old(X)<=>(calm(X)|~old(X))))&
(![X]:((~creative(X)&~wise(X))=>(~generous(X)|tall(X))))&
((?[X]:((kind(X)... | calm(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8985630168497075423335623
% SZS output start Proof for 8985630168497075423335623
5. ! [X0] : (old(X0) <=> (~old(X0) | calm(X0))) [input p4]
24. ~calm(mary) [input hypothesis]
45. ! [X0] : ((old(X0) | (old(X0) & ~calm(X0))) & ((~old(X0) | calm(X0)) | ~old(X0))) [nnf transformation 5]
46. !... | 0 |
Everyone who is not humble or not calm is both not wise and not brave and vice versa.
Everyone who is both quiet and not patient is either happy or not generous.
Everyone who is creative or funny is not tall.
Everyone who is not kind or calm is either not patient or not creative.
If fred is not quiet or generous then s... | Lucy is rich. | entailment | (![X]:((~humble(X)|~calm(X))<=>(~wise(X)&~brave(X))))&
(![X]:((quiet(X)&~patient(X))=>(happy(X)<~>~generous(X))))&
(![X]:((creative(X)|funny(X))=>~tall(X)))&
(![X]:((~kind(X)|calm(X))=>(~patient(X)<~>~creative(X))))&
(((~quiet(fred)|generous(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((strong(X)&~patient(X))))<=>(... | rich(lucy) | [
"p0",
"p7",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 998646053120571903966780
% SZS output start Proof for 998646053120571903966780
1. ! [X0] : ((~calm(X0) | ~humble(X0)) <=> (~brave(X0) & ~wise(X0))) [input p0]
8. (brave(paul) & ~generous(paul)) <=> ? [X0] : (happy(X0) | tall(X0)) [input p7]
9. (~brave(alice) & patient(alice)) <=> (quiet(l... | 0 |
Everyone who is not happy is wise or not strong.
Everyone who is humble is brave and vice versa.
If paul is either strong or wise then mary is either strong or tall.
Everyone who is either not funny or kind is either not curious or old.
Everyone who is either curious or not calm is both rich and curious and vice versa.... | Alice is wise. | entailment | (![X]:(~happy(X)=>(wise(X)|~strong(X))))&
(![X]:(humble(X)<=>brave(X)))&
(((strong(paul)<~>wise(paul)))=>((strong(mary)<~>tall(mary))))&
(![X]:((~funny(X)<~>kind(X))=>(~curious(X)<~>old(X))))&
(![X]:((curious(X)<~>~calm(X))<=>(rich(X)&curious(X))))&
((?[X]:((old(X)|~happy(X))))=>((kind(alice)<~>~wise(alice))))&
(![X]:(... | wise(alice) | [
"p4",
"p5",
"p7",
"p10",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4518147145694488039217771
% SZS output start Proof for 4518147145694488039217771
5. ! [X0] : ((curious(X0) <~> ~calm(X0)) <=> (curious(X0) & rich(X0))) [input p4]
6. ? [X0] : (~happy(X0) | old(X0)) => (kind(alice) <~> ~wise(alice)) [input p5]
8. ! [X0] : ((generous(X0) | ~curious(X0)) <=>... | 0 |
Everyone who is either rich or not kind is either tall or generous and vice versa. Everyone who is calm is old. Everyone who is not quiet or happy is both not strong and not humble and vice versa. Everyone who is humble or not patient is either not brave or not funny and vice versa. If susan is generous then someone is... | Susan is not quiet. | contradiction | (![X]:((rich(X)<~>~kind(X))<=>(tall(X)<~>generous(X))))&
(![X]:(calm(X)=>old(X)))&
(![X]:((~quiet(X)|happy(X))<=>(~strong(X)&~humble(X))))&
(![X]:((humble(X)|~patient(X))<=>(~brave(X)<~>~funny(X))))&
((generous(susan))<=>(?[X]:(calm(X))))&
((~brave(alice))=>((~kind(susan)|~tall(susan))))&
(![X]:((rich(X)&creative(X))=>... | ~quiet(susan) | [
"p2",
"p3",
"p4",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7760408894249113108905083
% SZS output start Proof for 7760408894249113108905083
3. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (~humble(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | humble(X0)) <=> (~brave(X0) <~> ~funny(X0))) [input p3]
5. generous(susan) <=> ? [X0] : calm(X0) ... | 0 |
Everyone who is either old or not brave is quiet and vice versa. If john is both curious and not tall then someone is both not rich and not wise. Everyone who is wise is not old. Everyone who is either kind or not quiet is either calm or funny and vice versa. Everyone who is not strong is both quiet and calm and vice v... | Lucy is kind. | contradiction | (![X]:((old(X)<~>~brave(X))<=>quiet(X)))&
(((curious(john)&~tall(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(calm(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(quiet(X)&calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~strong(X)<~>~happy(X))))&
(((~funny(lucy)<~>patient(lucy)... | kind(lucy) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7353699083041588538387480
% SZS output start Proof for 7353699083041588538387480
4. ! [X0] : ((kind(X0) <~> ~quiet(X0)) <=> (calm(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (~strong(X0) <=> (calm(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~strong(X0) <~> ~ha... | 0 |
Everyone who is happy or not patient is not humble and vice versa.
If someone is creative then alice is strong and vice versa.
If lucy is not wise or generous then john is curious and vice versa.
If paul is not tall or tall then paul is not wise or happy.
If someone is not tall then susan is not old or not generous.
Ev... | Lucy is not creative. | entailment | (![X]:((happy(X)|~patient(X))<=>~humble(X)))&
((?[X]:(creative(X)))<=>(strong(alice)))&
(((~wise(lucy)|generous(lucy)))<=>(curious(john)))&
(((~tall(paul)|tall(paul)))=>((~wise(paul)|happy(paul))))&
((?[X]:(~tall(X)))=>((~old(susan)|~generous(susan))))&
(![X]:((humble(X)<~>tall(X))<=>(~generous(X)&~strong(X))))&
(![X]:... | ~creative(lucy) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7301953917272281752310049
% SZS output start Proof for 7301953917272281752310049
2. ? [X0] : creative(X0) <=> strong(alice) [input p1]
20. ~strong(alice) [input p19]
24. creative(lucy) [input hypothesis]
36. (? [X0] : creative(X0) | ~strong(alice)) & (strong(alice) | ! [X0] : ~creative(X0... | 0 |
Everyone who is strong is either not quiet or not rich and vice versa.
Everyone who is both not kind and not tall is either not generous or not old and vice versa.
Everyone who is either quiet or not wise is both not happy and quiet and vice versa.
If alice is either kind or not calm then someone is both not tall and n... | Lucy is tall. | entailment | (![X]:(strong(X)<=>(~quiet(X)<~>~rich(X))))&
(![X]:((~kind(X)&~tall(X))<=>(~generous(X)<~>~old(X))))&
(![X]:((quiet(X)<~>~wise(X))<=>(~happy(X)&quiet(X))))&
(((kind(alice)<~>~calm(alice)))<=>(?[X]:((~tall(X)&~kind(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)<~>strong(X))=>(calm(X)<~>~rich(X))... | tall(lucy) | [
"p0",
"p3",
"p5",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 491225349294108708192595
% SZS output start Proof for 491225349294108708192595
1. ! [X0] : (strong(X0) <=> (~quiet(X0) <~> ~rich(X0))) [input p0]
4. (kind(alice) <~> ~calm(alice)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p3]
6. ! [X0] : ((~patient(X0) <~> strong(X0)) => (calm(X0) <~> ~... | 0 |
Everyone who is patient is strong.
If lucy is both creative and not brave then someone is either strong or not kind and vice versa.
Everyone who is either not patient or tall is not creative and vice versa.
Everyone who is strong or tall is either not tall or not creative.
If someone is funny then someone is old or qui... | Fred is not humble. | neutral | (![X]:(patient(X)=>strong(X)))&
(((creative(lucy)&~brave(lucy)))<=>(?[X]:((strong(X)<~>~kind(X)))))&
(![X]:((~patient(X)<~>tall(X))<=>~creative(X)))&
(![X]:((strong(X)|tall(X))=>(~tall(X)<~>~creative(X))))&
((?[X]:(funny(X)))=>(?[X]:((old(X)|quiet(X)))))&
(![X]:((~brave(X)&~old(X))<=>(~old(X)&creative(X))))&
(![X]:((~o... | ~humble(fred) | [] | null | 0 |
Everyone who is not tall or rich is both not wise and generous and vice versa.
If someone is not wise or not strong then someone is both not creative and creative.
Everyone who is either not funny or not quiet is either not wise or curious and vice versa.
Everyone who is either not creative or not old is both happy and... | Mary is not tall. | contradiction | (![X]:((~tall(X)|rich(X))<=>(~wise(X)&generous(X))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(~wise(X)<~>curious(X))))&
(![X]:((~creative(X)<~>~old(X))<=>(happy(X)&~wise(X))))&
(![X]:(~creative(X)=>funny(X)))&
(![X]:((~wise(X)<~>creative(X))<=>curious(X))... | ~tall(mary) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6117562555241998683100876
% SZS output start Proof for 6117562555241998683100876
1. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (generous(X0) & ~wise(X0))) [input p0]
2. ? [X0] : (~strong(X0) | ~wise(X0)) => ? [X0] : (creative(X0) & ~creative(X0)) [input p1]
19. ~tall(mary) [input hypothesis]
20... | 0 |
If someone is not rich or not curious then someone is both curious and kind. Everyone who is quiet or not happy is rich and vice versa. If john is both not funny and not creative then someone is not curious or generous. If someone is quiet or not rich then someone is both not curious and not patient and vice versa. Eve... | Mary is not wise. | neutral | ((?[X]:((~rich(X)|~curious(X))))=>(?[X]:((curious(X)&kind(X)))))&
(![X]:((quiet(X)|~happy(X))<=>rich(X)))&
(((~funny(john)&~creative(john)))=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(![X]:((~patient(X)<~>~old(X))<=>(wise(X)|~happy(X))))&
(![X]:((calm(X)|... | ~wise(mary) | [] | null | 0 |
If someone is either old or not creative then someone is both generous and not strong and vice versa. If mary is not curious then someone is not wise. Everyone who is both curious and not old is both not happy and not strong. If someone is both not funny and not humble then lucy is both patient and strong and vice vers... | Alice is not happy. | contradiction | ((?[X]:((old(X)<~>~creative(X))))<=>(?[X]:((generous(X)&~strong(X)))))&
((~curious(mary))=>(?[X]:(~wise(X))))&
(![X]:((curious(X)&~old(X))=>(~happy(X)&~strong(X))))&
((?[X]:((~funny(X)&~humble(X))))<=>((patient(lucy)&strong(lucy))))&
(((patient(paul)|tall(paul)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((rich(X)&~strong(X... | ~happy(alice) | [
"p6",
"p9",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 228598418181089577888577
% SZS output start Proof for 228598418181089577888577
7. ! [X0] : ((~old(X0) <~> ~kind(X0)) => (brave(X0) & ~old(X0))) [input p6]
10. ! [X0] : ((brave(X0) | ~old(X0)) => (~old(X0) & ~funny(X0))) [input p9]
12. ! [X0] : (~brave(X0) <=> (~old(X0) | ~curious(X0))) [i... | 0 |
Everyone who is either patient or not calm is both rich and not patient. If someone is old then john is both generous and not creative. Everyone who is both strong and not generous is both tall and not funny. Everyone who is patient or not patient is not quiet and vice versa. Everyone who is either humble or not genero... | John is not creative. | neutral | (![X]:((patient(X)<~>~calm(X))=>(rich(X)&~patient(X))))&
((?[X]:(old(X)))=>((generous(john)&~creative(john))))&
(![X]:((strong(X)&~generous(X))=>(tall(X)&~funny(X))))&
(![X]:((patient(X)|~patient(X))<=>~quiet(X)))&
(![X]:((humble(X)<~>~generous(X))=>(~funny(X)&~brave(X))))&
(((~tall(john)&~happy(john)))=>((~creative(al... | ~creative(john) | [] | null | 0 |
Everyone who is either funny or not humble is both humble and rich.
Everyone who is both rich and not tall is either not tall or kind.
Everyone who is both not calm and strong is both rich and not calm and vice versa.
If lucy is not strong or calm then fred is happy or not patient.
If lucy is both not tall and not curi... | Susan is creative. | contradiction | (![X]:((funny(X)<~>~humble(X))=>(humble(X)&rich(X))))&
(![X]:((rich(X)&~tall(X))=>(~tall(X)<~>kind(X))))&
(![X]:((~calm(X)&strong(X))<=>(rich(X)&~calm(X))))&
(((~strong(lucy)|calm(lucy)))=>((happy(fred)|~patient(fred))))&
(((~tall(lucy)&~curious(lucy)))<=>((~creative(john)&curious(john))))&
(![X]:(creative(X)=>(calm(X)... | creative(susan) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 839959972194245931985686
% SZS output start Proof for 839959972194245931985686
6. ! [X0] : (creative(X0) => (curious(X0) & calm(X0))) [input p5]
7. ! [X0] : ((~creative(X0) <~> calm(X0)) => (funny(X0) & ~happy(X0))) [input p6]
13. ! [X0] : ((~wise(X0) | calm(X0)) <=> happy(X0)) [input p12... | 0 |
Everyone who is either wise or calm is either not tall or not quiet.
Everyone who is funny or not patient is curious or not generous.
Everyone who is tall is funny and vice versa.
Everyone who is either not tall or funny is humble.
If someone is either strong or not calm then john is either not brave or not old and vic... | John is wise. | entailment | (![X]:((wise(X)<~>calm(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((funny(X)|~patient(X))=>(curious(X)|~generous(X))))&
(![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)<~>funny(X))=>humble(X)))&
((?[X]:((strong(X)<~>~calm(X))))<=>((~brave(john)<~>~old(john))))&
((tall(paul))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((tall(X... | wise(john) | [
"p2",
"p3",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5404198144598260916219512
% SZS output start Proof for 5404198144598260916219512
3. ! [X0] : (tall(X0) <=> funny(X0)) [input p2]
4. ! [X0] : ((~tall(X0) <~> funny(X0)) => humble(X0)) [input p3]
11. ! [X0] : (~patient(X0) => (~old(X0) & wise(X0))) [input p10]
12. ! [X0] : ((humble(X0) <~> ... | 0 |
If someone is not brave then mary is both happy and creative and vice versa. Everyone who is either not old or not funny 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 ... | Fred is rich. | entailment | ((?[X]:(~brave(X)))<=>((happy(mary)&creative(mary))))&
(![X]:((~old(X)<~>~funny(X))<=>(~strong(X)<~>~wise(X))))&
(![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))))&
... | rich(fred) | [
"p5",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1685079758606675358729624
% SZS output start Proof for 1685079758606675358729624
6. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> (kind(X0) & ~tall(X0))) [input p5]
8. ! [X0] : ((creative(X0) <~> kind(X0)) => (creative(X0) | patient(X0))) [input p7]
13. ! [X0] : (patient(X0) => tall(X0)) [input ... | 0 |
Everyone who is calm is both curious and not quiet and vice versa. Everyone who is either old or not old is both not creative and happy and vice versa. Everyone who is creative is not brave and vice versa. If someone is either funny or not humble then john is either not brave or humble and vice versa. If someone is hap... | John is tall. | neutral | (![X]:(calm(X)<=>(curious(X)&~quiet(X))))&
(![X]:((old(X)<~>~old(X))<=>(~creative(X)&happy(X))))&
(![X]:(creative(X)<=>~brave(X)))&
((?[X]:((funny(X)<~>~humble(X))))<=>((~brave(john)<~>humble(john))))&
((?[X]:(happy(X)))<=>((tall(fred)&~creative(fred))))&
(![X]:((~brave(X)&~tall(X))=>(funny(X)&~funny(X))))&
(![X]:(~kin... | tall(john) | [] | null | 0 |
If lucy is either strong or funny then someone is creative or tall and vice versa.
If someone is either not generous or not funny then mary is not brave.
If someone is happy then alice is humble or happy and vice versa.
If fred is both calm and strong then fred is both wise and not calm.
Everyone who is either not calm... | Alice is old. | contradiction | (((strong(lucy)<~>funny(lucy)))<=>(?[X]:((creative(X)|tall(X)))))&
((?[X]:((~generous(X)<~>~funny(X))))=>(~brave(mary)))&
((?[X]:(happy(X)))<=>((humble(alice)|happy(alice))))&
(((calm(fred)&strong(fred)))=>((wise(fred)&~calm(fred))))&
(![X]:((~calm(X)<~>quiet(X))=>(old(X)&~humble(X))))&
(![X]:((~kind(X)<~>tall(X))=>(ol... | old(alice) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2909081563785224242867530
% SZS output start Proof for 2909081563785224242867530
8. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0) & tall(X0))) [input p7]
11. ? [X0] : old(X0) <=> ? [X0] : (~tall(X0) & ~calm(X0)) [input p10]
25. old(alice) [input hypothesis]
26. ? [X0] : old(X0) <=> ?... | 0 |
If someone is not calm or rich then someone is both not rich and not old and vice versa. If someone is not brave then fred is not tall. Everyone who is either rich or not generous is not humble or not calm. If fred is either not creative or not happy then someone is not creative and vice versa. Everyone who is not stro... | Fred is not happy. | entailment | ((?[X]:((~calm(X)|rich(X))))<=>(?[X]:((~rich(X)&~old(X)))))&
((?[X]:(~brave(X)))=>(~tall(fred)))&
(![X]:((rich(X)<~>~generous(X))=>(~humble(X)|~calm(X))))&
(((~creative(fred)<~>~happy(fred)))<=>(?[X]:(~creative(X))))&
(![X]:(~strong(X)=>strong(X)))&
(![X]:((~kind(X)|humble(X))=>(~tall(X)<~>funny(X))))&
(((~happy(fred)<... | ~happy(fred) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3458044149974083932111018
% SZS output start Proof for 3458044149974083932111018
5. ! [X0] : (~strong(X0) => strong(X0)) [input p4]
9. ! [X0] : (strong(X0) <=> ~happy(X0)) [input p8]
25. happy(fred) [input hypothesis]
36. ! [X0] : (strong(X0) | strong(X0)) [ennf transformation 5]
55. ! [X... | 0 |
If lucy is either curious or kind then someone is curious and vice versa. If someone is not curious then mary is not patient. Everyone who is either not humble or not brave is both happy and not creative and vice versa. If someone is either not brave or wise then susan is both not wise and kind and vice versa. Everyone... | Fred is wise. | contradiction | (((curious(lucy)<~>kind(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:(~curious(X)))=>(~patient(mary)))&
(![X]:((~humble(X)<~>~brave(X))<=>(happy(X)&~creative(X))))&
((?[X]:((~brave(X)<~>wise(X))))<=>((~wise(susan)&kind(susan))))&
(![X]:(~creative(X)<=>(~quiet(X)|humble(X))))&
(![X]:((~old(X)&~calm(X))<=>old(X)))&
(![X]:((~qu... | wise(fred) | [
"p4",
"p5",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8750690781548052456135873
% SZS output start Proof for 8750690781548052456135873
5. ! [X0] : (~creative(X0) <=> (humble(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> old(X0)) [input p5]
9. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> (~wise(X0) | ~creative(X0))) [i... | 0 |
Everyone who is both not old and not creative is tall or patient and vice versa. Everyone who is either humble or old is either not strong or curious. Everyone who is both rich and not patient is both not old and brave and vice versa. Everyone who is rich is either not brave or brave. If someone is both not happy and r... | John is not wise. | neutral | (![X]:((~old(X)&~creative(X))<=>(tall(X)|patient(X))))&
(![X]:((humble(X)<~>old(X))=>(~strong(X)<~>curious(X))))&
(![X]:((rich(X)&~patient(X))<=>(~old(X)&brave(X))))&
(![X]:(rich(X)=>(~brave(X)<~>brave(X))))&
((?[X]:((~happy(X)&rich(X))))<=>(humble(paul)))&
(((~patient(john)&~old(john)))<=>(?[X]:((wise(X)&~patient(X)))... | ~wise(john) | [] | null | 0 |
Everyone who is either not brave or not tall is both not tall and not funny.
If mary is kind then someone is rich or quiet and vice versa.
If paul is either creative or not old then someone is curious.
If john is either not curious or creative then fred is not patient and vice versa.
Everyone who is not strong is not c... | Susan is funny. | contradiction | (![X]:((~brave(X)<~>~tall(X))=>(~tall(X)&~funny(X))))&
((kind(mary))<=>(?[X]:((rich(X)|quiet(X)))))&
(((creative(paul)<~>~old(paul)))=>(?[X]:(curious(X))))&
(((~curious(john)<~>creative(john)))<=>(~patient(fred)))&
(![X]:(~strong(X)<=>~calm(X)))&
(![X]:((happy(X)&~happy(X))=>(~calm(X)|~tall(X))))&
((?[X]:((happy(X)|fun... | funny(susan) | [
"p0",
"p4",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4879489657163145632873820
% SZS output start Proof for 4879489657163145632873820
1. ! [X0] : ((~brave(X0) <~> ~tall(X0)) => (~funny(X0) & ~tall(X0))) [input p0]
5. ! [X0] : (~strong(X0) <=> ~calm(X0)) [input p4]
11. (quiet(fred) | tall(fred)) <=> (calm(susan) <~> ~brave(susan)) [input p10... | 0 |
Everyone who is not creative is brave or not creative.
Everyone who is either strong or not rich is humble or not quiet and vice versa.
Everyone who is both patient and not funny is either not kind or brave.
If someone is either not wise or not humble then john is either old or creative and vice versa.
If someone is cu... | Alice is curious. | contradiction | (![X]:(~creative(X)=>(brave(X)|~creative(X))))&
(![X]:((strong(X)<~>~rich(X))<=>(humble(X)|~quiet(X))))&
(![X]:((patient(X)&~funny(X))=>(~kind(X)<~>brave(X))))&
((?[X]:((~wise(X)<~>~humble(X))))<=>((old(john)<~>creative(john))))&
((?[X]:(curious(X)))<=>((happy(fred)<~>kind(fred))))&
((?[X]:((~patient(X)<~>old(X))))=>(?... | curious(alice) | [
"p1",
"p6",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3229673307321072095430756
% SZS output start Proof for 3229673307321072095430756
2. ! [X0] : ((strong(X0) <~> ~rich(X0)) <=> (~quiet(X0) | humble(X0))) [input p1]
7. ! [X0] : ((~kind(X0) | ~strong(X0)) => ~curious(X0)) [input p6]
9. ! [X0] : ((~brave(X0) <~> old(X0)) <=> (~kind(X0) <~> ol... | 0 |
If paul is generous or patient then susan is both tall and strong and vice versa.
Everyone who is not curious is calm or not brave and vice versa.
If someone is both not humble and not rich then alice is not curious.
If john is strong or rich then susan is creative and vice versa.
Everyone who is both not brave and old... | Alice is happy. | contradiction | (((generous(paul)|patient(paul)))<=>((tall(susan)&strong(susan))))&
(![X]:(~curious(X)<=>(calm(X)|~brave(X))))&
((?[X]:((~humble(X)&~rich(X))))=>(~curious(alice)))&
(((strong(john)|rich(john)))<=>(creative(susan)))&
(![X]:((~brave(X)&old(X))=>(old(X)<~>kind(X))))&
(![X]:((~happy(X)&~old(X))<=>(quiet(X)&kind(X))))&
(((b... | happy(alice) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1680641522371127427746716
% SZS output start Proof for 1680641522371127427746716
10. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (~humble(X0) | generous(X0))) [input p9]
15. ! [X0] : (~generous(X0) => (old(X0) & ~old(X0))) [input p14]
22. happy(alice) [input hypothesis]
28. ! [X0] : ((old(X0) ... | 0 |
Everyone who is either not creative or not strong is tall or brave.
If paul is not quiet then someone is either rich or not old and vice versa.
If someone is either tall or curious then mary is either patient or creative and vice versa.
If someone is both not curious and not creative then lucy is either old or not crea... | John is not quiet. | neutral | (![X]:((~creative(X)<~>~strong(X))=>(tall(X)|brave(X))))&
((~quiet(paul))<=>(?[X]:((rich(X)<~>~old(X)))))&
((?[X]:((tall(X)<~>curious(X))))<=>((patient(mary)<~>creative(mary))))&
((?[X]:((~curious(X)&~creative(X))))=>((old(lucy)<~>~creative(lucy))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((~kind(paul)<~>humble(paul))))&
... | ~quiet(john) | [] | null | 0 |
If someone is either old or humble then someone is both not funny and funny. Everyone who is either not happy or generous is either not rich or humble and vice versa. Everyone who is either humble or not kind is either humble or not old. Everyone who is both not old and kind is not generous. If lucy is humble or not cr... | Alice is humble. | entailment | ((?[X]:((old(X)<~>humble(X))))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:((~happy(X)<~>generous(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((humble(X)<~>~kind(X))=>(humble(X)<~>~old(X))))&
(![X]:((~old(X)&kind(X))=>~generous(X)))&
(((humble(lucy)|~creative(lucy)))=>(patient(paul)))&
((?[X]:((strong(X)|~curious(X))))<=>((~rich(... | humble(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 335947820770005288638540
% SZS output start Proof for 335947820770005288638540
11. ! [X0] : ((~old(X0) & ~humble(X0)) <=> (~old(X0) <~> ~humble(X0))) [input p10]
21. ~humble(alice) [input hypothesis]
53. ! [X0] : (((~old(X0) & ~humble(X0)) | ((~old(X0) | humble(X0)) & (~humble(X0) | old(X... | 0 |
Everyone who is humble or happy is not quiet and vice versa.
Everyone who is not quiet or not curious is not quiet.
If fred is old then alice is both not brave and funny.
Everyone who is not humble is both wise and not happy.
If someone is strong or not quiet then someone is both not funny and old and vice versa.
If jo... | John is not wise. | entailment | (![X]:((humble(X)|happy(X))<=>~quiet(X)))&
(![X]:((~quiet(X)|~curious(X))=>~quiet(X)))&
((old(fred))=>((~brave(alice)&funny(alice))))&
(![X]:(~humble(X)=>(wise(X)&~happy(X))))&
((?[X]:((strong(X)|~quiet(X))))<=>(?[X]:((~funny(X)&old(X)))))&
(((~tall(john)|calm(john)))<=>((~funny(fred)<~>tall(fred))))&
(![X]:((calm(X)<~... | ~wise(john) | [
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5523815556943099070367987
% SZS output start Proof for 5523815556943099070367987
12. ! [X0] : ((creative(X0) | wise(X0)) => (strong(X0) & rich(X0))) [input p11]
18. humble(john) & ~strong(john) [input p17]
25. wise(john) [input hypothesis]
30. ! [X0] : ((creative(X0) | wise(X0)) => strong... | 0 |
If paul is brave or kind then susan is funny or not funny.
Everyone who is old is happy and vice versa.
If susan is both not happy and not kind then someone is both not rich and rich.
If someone is wise or not happy then someone is both tall and not calm.
Everyone who is both old and not wise is generous or patient and... | Fred is happy. | entailment | (((brave(paul)|kind(paul)))=>((funny(susan)|~funny(susan))))&
(![X]:(old(X)<=>happy(X)))&
(((~happy(susan)&~kind(susan)))=>(?[X]:((~rich(X)&rich(X)))))&
((?[X]:((wise(X)|~happy(X))))=>(?[X]:((tall(X)&~calm(X)))))&
(![X]:((old(X)&~wise(X))<=>(generous(X)|patient(X))))&
((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:((brave(... | happy(fred) | [
"p1",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5106407044055562068500793
% SZS output start Proof for 5106407044055562068500793
2. ! [X0] : (old(X0) <=> happy(X0)) [input p1]
5. ! [X0] : ((~wise(X0) & old(X0)) <=> (patient(X0) | generous(X0))) [input p4]
20. patient(fred) [input p19]
25. ~happy(fred) [input hypothesis]
42. ! [X0] : ((... | 0 |
If someone is either not calm or not generous then paul is either quiet or not quiet.
If fred is both curious and wise then alice is not generous or not funny and vice versa.
Everyone who is both calm and happy is not patient.
Everyone who is brave is humble and vice versa.
Everyone who is not strong or calm is either ... | John is funny. | entailment | ((?[X]:((~calm(X)<~>~generous(X))))=>((quiet(paul)<~>~quiet(paul))))&
(((curious(fred)&wise(fred)))<=>((~generous(alice)|~funny(alice))))&
(![X]:((calm(X)&happy(X))=>~patient(X)))&
(![X]:(brave(X)<=>humble(X)))&
(![X]:((~strong(X)|calm(X))<=>(brave(X)<~>generous(X))))&
((?[X]:(tall(X)))=>((curious(fred)<~>~old(fred))))... | funny(john) | [
"p6",
"p7",
"p10",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4280562019643067940305128
% SZS output start Proof for 4280562019643067940305128
7. ! [X0] : ((~wise(X0) & ~strong(X0)) <=> ~funny(X0)) [input p6]
8. ! [X0] : (happy(X0) => (strong(X0) & ~quiet(X0))) [input p7]
11. ! [X0] : ((~curious(X0) & ~funny(X0)) <=> (generous(X0) & ~happy(X0))) [in... | 0 |
Everyone who is brave or not quiet is both tall and calm and vice versa.
Everyone who is either not generous or not humble is both generous and humble and vice versa.
If someone is either not patient or not tall then susan is either not creative or quiet.
Everyone who is not creative is either not quiet or not happy.
E... | Fred is curious. | entailment | (![X]:((brave(X)|~quiet(X))<=>(tall(X)&calm(X))))&
(![X]:((~generous(X)<~>~humble(X))<=>(generous(X)&humble(X))))&
((?[X]:((~patient(X)<~>~tall(X))))=>((~creative(susan)<~>quiet(susan))))&
(![X]:(~creative(X)=>(~quiet(X)<~>~happy(X))))&
(![X]:((~calm(X)|strong(X))<=>(~humble(X)<~>rich(X))))&
(((funny(paul)&~creative(pa... | curious(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5432356149472873603123264
% SZS output start Proof for 5432356149472873603123264
8. ? [X0] : (generous(X0) | ~curious(X0)) <=> (~old(fred) & old(fred)) [input p7]
24. ~curious(fred) [input hypothesis]
41. (? [X0] : (generous(X0) | ~curious(X0)) | (old(fred) | ~old(fred))) & ((~old(fred) &... | 0 |
If someone is both not quiet and not humble then fred is patient or calm and vice versa. If someone is both wise and funny then mary is both not tall and not humble and vice versa. Everyone who is patient or quiet is either not creative or quiet and vice versa. Everyone who is not strong is not kind. If susan is curiou... | Fred is not kind. | entailment | ((?[X]:((~quiet(X)&~humble(X))))<=>((patient(fred)|calm(fred))))&
((?[X]:((wise(X)&funny(X))))<=>((~tall(mary)&~humble(mary))))&
(![X]:((patient(X)|quiet(X))<=>(~creative(X)<~>quiet(X))))&
(![X]:(~strong(X)=>~kind(X)))&
((curious(susan))=>(?[X]:((tall(X)<~>~quiet(X)))))&
(((brave(susan)|calm(susan)))=>(?[X]:(~wise(X)))... | ~kind(fred) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 575690766004625911958828
% SZS output start Proof for 575690766004625911958828
4. ! [X0] : (~strong(X0) => ~kind(X0)) [input p3]
12. ! [X0] : ((~kind(X0) <~> strong(X0)) <=> ~kind(X0)) [input p11]
24. kind(fred) [input hypothesis]
27. ! [X0] : (~kind(X0) | strong(X0)) [ennf transformation... | 0 |
Everyone who is not calm is either not rich or not creative.
If alice is both brave and not tall then someone is not happy.
Everyone who is not rich or funny is not rich and vice versa.
Everyone who is not funny is both happy and not happy.
Everyone who is either wise or kind is either wise or not patient.
If paul is b... | John is not brave. | neutral | (![X]:(~calm(X)=>(~rich(X)<~>~creative(X))))&
(((brave(alice)&~tall(alice)))=>(?[X]:(~happy(X))))&
(![X]:((~rich(X)|funny(X))<=>~rich(X)))&
(![X]:(~funny(X)=>(happy(X)&~happy(X))))&
(![X]:((wise(X)<~>kind(X))=>(wise(X)<~>~patient(X))))&
(((old(paul)&~old(paul)))=>((~curious(lucy)&calm(lucy))))&
(![X]:((~wise(X)&rich(X)... | ~brave(john) | [] | null | 0 |
If someone is patient then paul is strong.
If someone is calm or strong then alice is both not generous and funny.
Everyone who is not quiet or not tall is kind.
Everyone who is either not humble or curious is creative and vice versa.
Everyone who is not funny is not rich or tall.
Everyone who is both not old and not f... | Lucy is patient. | entailment | ((?[X]:(patient(X)))=>(strong(paul)))&
((?[X]:((calm(X)|strong(X))))=>((~generous(alice)&funny(alice))))&
(![X]:((~quiet(X)|~tall(X))=>kind(X)))&
(![X]:((~humble(X)<~>curious(X))<=>creative(X)))&
(![X]:(~funny(X)=>(~rich(X)|tall(X))))&
(![X]:((~old(X)&~funny(X))<=>~old(X)))&
((creative(paul))<=>((humble(susan)&~generou... | patient(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 116175194989600405563165
% SZS output start Proof for 116175194989600405563165
23. strong(lucy) & patient(lucy) [input p22]
25. ~patient(lucy) [input hypothesis]
129. patient(lucy) [cnf transformation 23]
133. ~patient(lucy) [cnf transformation 25]
238. 22 <=> patient(lucy) [avatar defini... | 0 |
Everyone who is strong or not wise is not rich.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind and vice versa.
Everyone... | Paul is not wise. | contradiction | (![X]:((strong(X)|~wise(X))=>~rich(X)))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(generous(X... | ~wise(paul) | [
"p0",
"p1",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7565585589531630274237603
% SZS output start Proof for 7565585589531630274237603
1. ! [X0] : ((~wise(X0) | strong(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : (old(X0) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) | generous(X0))) [input p4]
10. ! [X0] : (funny(... | 0 |
Everyone who is either happy or kind is old or rich. Everyone who is both not kind and old is creative or humble and vice versa. Everyone who is strong is either creative or old. Everyone who is both rich and not calm is both not brave and funny and vice versa. Everyone who is either not humble or old is either not bra... | Alice is not brave. | neutral | (![X]:((happy(X)<~>kind(X))=>(old(X)|rich(X))))&
(![X]:((~kind(X)&old(X))<=>(creative(X)|humble(X))))&
(![X]:(strong(X)=>(creative(X)<~>old(X))))&
(![X]:((rich(X)&~calm(X))<=>(~brave(X)&funny(X))))&
(![X]:((~humble(X)<~>old(X))=>(~brave(X)<~>humble(X))))&
((?[X]:((~creative(X)|quiet(X))))=>(?[X]:((wise(X)<~>patient(X))... | ~brave(alice) | [] | null | 0 |
Everyone who is either not patient or calm is generous or not funny.
If someone is either quiet or not calm then someone is kind or rich.
Everyone who is not funny or not wise is both old and kind.
Everyone who is both strong and tall is not happy and vice versa.
If alice is both funny and not calm then lucy is both no... | Paul is old. | entailment | (![X]:((~patient(X)<~>calm(X))=>(generous(X)|~funny(X))))&
((?[X]:((quiet(X)<~>~calm(X))))=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((~funny(X)|~wise(X))=>(old(X)&kind(X))))&
(![X]:((strong(X)&tall(X))<=>~happy(X)))&
(((funny(alice)&~calm(alice)))=>((~humble(lucy)&wise(lucy))))&
((?[X]:((brave(X)<~>calm(X))))=>((~quiet(susa... | old(paul) | [
"p2",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5087629986019848055295584
% SZS output start Proof for 5087629986019848055295584
3. ! [X0] : ((~wise(X0) | ~funny(X0)) => (kind(X0) & old(X0))) [input p2]
16. ! [X0] : ((~strong(X0) | ~funny(X0)) <=> wise(X0)) [input p15]
18. ~strong(paul) <~> wise(paul) [input p17]
25. ~old(paul) [input ... | 0 |
Everyone who is both not humble and not old is either rich or patient and vice versa.
If paul is tall or kind then someone is both not quiet and not patient and vice versa.
If john is both not calm and humble then someone is generous.
If someone is both not tall and not rich then someone is both old and happy and vice ... | Lucy is strong. | entailment | (![X]:((~humble(X)&~old(X))<=>(rich(X)<~>patient(X))))&
(((tall(paul)|kind(paul)))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(((~calm(john)&humble(john)))=>(?[X]:(generous(X))))&
((?[X]:((~tall(X)&~rich(X))))<=>(?[X]:((old(X)&happy(X)))))&
(![X]:((kind(X)&rich(X))<=>~wise(X)))&
(![X]:((funny(X)&~generous(X))=>(~wise(X)&happ... | strong(lucy) | [
"p0",
"p6",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5368653277558786622408500
% SZS output start Proof for 5368653277558786622408500
1. ! [X0] : ((~old(X0) & ~humble(X0)) <=> (rich(X0) <~> patient(X0))) [input p0]
7. ! [X0] : ((strong(X0) & ~calm(X0)) <=> (old(X0) <~> ~calm(X0))) [input p6]
9. ! [X0] : (~rich(X0) <=> humble(X0)) [input p8]... | 0 |
If john is quiet or not old then someone is quiet and vice versa.
Everyone who is both happy and creative is not humble or not curious and vice versa.
Everyone who is curious or not strong is both creative and not old and vice versa.
Everyone who is wise is not creative or not calm and vice versa.
If mary is both funny... | Fred is not calm. | neutral | (((quiet(john)|~old(john)))<=>(?[X]:(quiet(X))))&
(![X]:((happy(X)&creative(X))<=>(~humble(X)|~curious(X))))&
(![X]:((curious(X)|~strong(X))<=>(creative(X)&~old(X))))&
(![X]:(wise(X)<=>(~creative(X)|~calm(X))))&
(((funny(mary)&~quiet(mary)))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(rich(X)=>(~wise(X)&strong(X))))&
... | ~calm(fred) | [] | null | 0 |
Everyone who is either not wise or brave is not tall or not patient. Everyone who is both happy and humble is not strong or creative. Everyone who is both not rich and happy is not tall. Everyone who is both not humble and not old is old and vice versa. Everyone who is not old or brave is either generous or not creativ... | Susan is not old. | entailment | (![X]:((~wise(X)<~>brave(X))=>(~tall(X)|~patient(X))))&
(![X]:((happy(X)&humble(X))=>(~strong(X)|creative(X))))&
(![X]:((~rich(X)&happy(X))=>~tall(X)))&
(![X]:((~humble(X)&~old(X))<=>old(X)))&
(![X]:((~old(X)|brave(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((generous(X)&~brave(X))<=>(funny(X)<~>kind(X))))&
(![X]:((cu... | ~old(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 9006796498157631940398174
% SZS output start Proof for 9006796498157631940398174
4. ! [X0] : ((~old(X0) & ~humble(X0)) <=> old(X0)) [input p3]
24. old(susan) [input hypothesis]
45. ! [X0] : (((~old(X0) & ~humble(X0)) | ~old(X0)) & (old(X0) | (old(X0) | humble(X0)))) [nnf transformation 4]... | 0 |
Everyone who is either not generous or happy is brave or quiet.
If someone is not patient then john is both not rich and rich and vice versa.
If fred is not quiet or wise then john is not rich or funny and vice versa.
Everyone who is either rich or happy is strong or humble.
Everyone who is both curious and not quiet i... | Fred is not tall. | neutral | (![X]:((~generous(X)<~>happy(X))=>(brave(X)|quiet(X))))&
((?[X]:(~patient(X)))<=>((~rich(john)&rich(john))))&
(((~quiet(fred)|wise(fred)))<=>((~rich(john)|funny(john))))&
(![X]:((rich(X)<~>happy(X))=>(strong(X)|humble(X))))&
(![X]:((curious(X)&~quiet(X))=>(~old(X)|wise(X))))&
(![X]:((creative(X)|~calm(X))=>(brave(X)|ha... | ~tall(fred) | [] | null | 0 |
If someone is both not curious and quiet then john is both not curious and happy. If someone is not humble or humble then lucy is calm. Everyone who is not wise or not patient is old. If someone is both not creative and brave then alice is both not old and not strong and vice versa. If lucy is either strong or not funn... | Paul is creative. | neutral | ((?[X]:((~curious(X)&quiet(X))))=>((~curious(john)&happy(john))))&
((?[X]:((~humble(X)|humble(X))))=>(calm(lucy)))&
(![X]:((~wise(X)|~patient(X))=>old(X)))&
((?[X]:((~creative(X)&brave(X))))<=>((~old(alice)&~strong(alice))))&
(((strong(lucy)<~>~funny(lucy)))<=>((kind(fred)|patient(fred))))&
(((tall(alice)&~calm(alice))... | creative(paul) | [] | null | 0 |
Everyone who is wise or quiet is both happy and patient and vice versa.
Everyone who is rich is either calm or not brave.
Everyone who is either not old or not kind is not wise.
Everyone who is not calm is both not wise and not kind.
Everyone who is both happy and not wise is both rich and not humble.
Everyone who is f... | Mary is not humble. | neutral | (![X]:((wise(X)|quiet(X))<=>(happy(X)&patient(X))))&
(![X]:(rich(X)=>(calm(X)<~>~brave(X))))&
(![X]:((~old(X)<~>~kind(X))=>~wise(X)))&
(![X]:(~calm(X)=>(~wise(X)&~kind(X))))&
(![X]:((happy(X)&~wise(X))=>(rich(X)&~humble(X))))&
(![X]:((funny(X)|brave(X))=>(~calm(X)&calm(X))))&
((?[X]:((rich(X)<~>curious(X))))<=>((funny(... | ~humble(mary) | [] | null | 0 |
Everyone who is both patient and happy is not patient. Everyone who is both not wise and not old is old and vice versa. Everyone who is not happy is patient or wise. If someone is either generous or funny then mary is either not quiet or funny and vice versa. Everyone who is either not funny or not old is both kind and... | Mary is tall. | contradiction | (![X]:((patient(X)&happy(X))=>~patient(X)))&
(![X]:((~wise(X)&~old(X))<=>old(X)))&
(![X]:(~happy(X)=>(patient(X)|wise(X))))&
((?[X]:((generous(X)<~>funny(X))))<=>((~quiet(mary)<~>funny(mary))))&
(![X]:((~funny(X)<~>~old(X))=>(kind(X)&funny(X))))&
(((~curious(lucy)<~>~old(lucy)))<=>(creative(alice)))&
(![X]:(~old(X)=>(c... | tall(mary) | [
"p1",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 429366445622551085714523
% SZS output start Proof for 429366445622551085714523
2. ! [X0] : ((~old(X0) & ~wise(X0)) <=> old(X0)) [input p1]
10. ! [X0] : (~old(X0) => (~happy(X0) | ~wise(X0))) [input p9]
11. ! [X0] : ((~happy(X0) | calm(X0)) <=> ~generous(X0)) [input p10]
14. ? [X0] : (~ric... | 0 |
Everyone who is either curious or quiet is not strong.
If someone is curious or funny then fred is both kind and strong and vice versa.
Everyone who is both not happy and not generous is both not humble and not patient and vice versa.
If john is kind then john is either not brave or not patient and vice versa.
Everyone... | Fred is not quiet. | contradiction | (![X]:((curious(X)<~>quiet(X))=>~strong(X)))&
((?[X]:((curious(X)|funny(X))))<=>((kind(fred)&strong(fred))))&
(![X]:((~happy(X)&~generous(X))<=>(~humble(X)&~patient(X))))&
((kind(john))<=>((~brave(john)<~>~patient(john))))&
(![X]:(~rich(X)<=>strong(X)))&
(![X]:((~funny(X)<~>brave(X))=>(happy(X)<~>curious(X))))&
((?[X]:... | ~quiet(fred) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6119901647918049815420447
% SZS output start Proof for 6119901647918049815420447
3. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> (~patient(X0) & ~humble(X0))) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (calm(X0) <~> ~old(X0))) [inp... | 0 |
Everyone who is happy or curious is both curious and calm and vice versa.
Everyone who is humble is both generous and not old.
Everyone who is kind is calm and vice versa.
If someone is both creative and old then john is either calm or generous and vice versa.
If mary is kind then mary is generous and vice versa.
If so... | Lucy is brave. | contradiction | (![X]:((happy(X)|curious(X))<=>(curious(X)&calm(X))))&
(![X]:(humble(X)=>(generous(X)&~old(X))))&
(![X]:(kind(X)<=>calm(X)))&
((?[X]:((creative(X)&old(X))))<=>((calm(john)<~>generous(john))))&
((kind(mary))<=>(generous(mary)))&
((?[X]:((tall(X)&~patient(X))))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:(funny(X)=>(~creativ... | brave(lucy) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2461424113430124999374222
% SZS output start Proof for 2461424113430124999374222
12. ! [X0] : (strong(X0) <=> ~creative(X0)) [input p11]
13. ! [X0] : (~brave(X0) <=> (~strong(X0) <~> ~creative(X0))) [input p12]
21. brave(lucy) [input hypothesis]
48. ! [X0] : ((strong(X0) | creative(X0)) &... | 0 |
If someone is either tall or not kind then someone is both happy and calm and vice versa. Everyone who is strong or rich is not kind or not rich. Everyone who is not rich or funny is either not curious or kind. If alice is both patient and not happy then someone is either not curious or not old. Everyone who is not wis... | Alice is not wise. | contradiction | ((?[X]:((tall(X)<~>~kind(X))))<=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((strong(X)|rich(X))=>(~kind(X)|~rich(X))))&
(![X]:((~rich(X)|funny(X))=>(~curious(X)<~>kind(X))))&
(((patient(alice)&~happy(alice)))=>(?[X]:((~curious(X)<~>~old(X)))))&
(![X]:((~wise(X)|~old(X))<=>(rich(X)&~wise(X))))&
(((~brave(john)|~kind(john)))=>... | ~wise(alice) | [
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1675530675972123548178724
% SZS output start Proof for 1675530675972123548178724
5. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (~wise(X0) & rich(X0))) [input p4]
8. ! [X0] : ((creative(X0) | ~creative(X0)) => funny(X0)) [input p7]
11. ? [X0] : (~funny(X0) & old(X0)) <=> ? [X0] : rich(X0) [input... | 0 |
Everyone who is both kind and old is both calm and patient and vice versa.
Everyone who is patient is both old and not creative.
If paul is either calm or old then someone is not kind or humble and vice versa.
Everyone who is both curious and strong is not creative and vice versa.
Everyone who is wise is both wise and ... | Alice is not kind. | contradiction | (![X]:((kind(X)&old(X))<=>(calm(X)&patient(X))))&
(![X]:(patient(X)=>(old(X)&~creative(X))))&
(((calm(paul)<~>old(paul)))<=>(?[X]:((~kind(X)|humble(X)))))&
(![X]:((curious(X)&strong(X))<=>~creative(X)))&
(![X]:(wise(X)<=>(wise(X)&kind(X))))&
((?[X]:(humble(X)))=>(?[X]:((~old(X)<~>brave(X)))))&
(![X]:((curious(X)|~gener... | ~kind(alice) | [
"p1",
"p3",
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8680584092578566325797549
% SZS output start Proof for 8680584092578566325797549
2. ! [X0] : (patient(X0) => (~creative(X0) & old(X0))) [input p1]
4. ! [X0] : ((strong(X0) & curious(X0)) <=> ~creative(X0)) [input p3]
7. ! [X0] : ((~generous(X0) | curious(X0)) <=> ~brave(X0)) [input p6]
12... | 0 |
If someone is either humble or not kind then lucy is strong.
Everyone who is both humble and not calm is either not rich or calm.
If someone is quiet then paul is not tall or not old and vice versa.
Everyone who is not calm or not kind is creative or patient and vice versa.
Everyone who is calm is humble or not generou... | John is tall. | neutral | ((?[X]:((humble(X)<~>~kind(X))))=>(strong(lucy)))&
(![X]:((humble(X)&~calm(X))=>(~rich(X)<~>calm(X))))&
((?[X]:(quiet(X)))<=>((~tall(paul)|~old(paul))))&
(![X]:((~calm(X)|~kind(X))<=>(creative(X)|patient(X))))&
(![X]:(calm(X)=>(humble(X)|~generous(X))))&
(![X]:((~happy(X)|~old(X))=>(~kind(X)&~happy(X))))&
(![X]:((brave... | tall(john) | [] | null | 0 |
Everyone who is both not wise and calm is either not curious or not happy and vice versa.
Everyone who is both not happy and not calm is not quiet.
If mary is not creative then someone is brave.
If someone is not tall then someone is either patient or happy and vice versa.
If someone is both not wise and brave then som... | Susan is not brave. | neutral | (![X]:((~wise(X)&calm(X))<=>(~curious(X)<~>~happy(X))))&
(![X]:((~happy(X)&~calm(X))=>~quiet(X)))&
((~creative(mary))=>(?[X]:(brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)<~>happy(X)))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:((strong(X)<~>~curious(X)))))&
((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|stron... | ~brave(susan) | [] | null | 0 |
If alice is either not strong or not rich then paul is strong. If john is wise then fred is calm or strong. Everyone who is curious or not kind is quiet. If someone is quiet or calm then fred is both not curious and quiet and vice versa. If someone is not curious then someone is not funny or not brave. If someone is no... | John is happy. | contradiction | (((~strong(alice)<~>~rich(alice)))=>(strong(paul)))&
((wise(john))=>((calm(fred)|strong(fred))))&
(![X]:((curious(X)|~kind(X))=>quiet(X)))&
((?[X]:((quiet(X)|calm(X))))<=>((~curious(fred)&quiet(fred))))&
((?[X]:(~curious(X)))=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:((~brave(X)|calm(X))))=>(?[X]:((generous(X)<~>~calm(X... | happy(john) | [
"p2",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7037761117773765013410792
% SZS output start Proof for 7037761117773765013410792
3. ! [X0] : ((~kind(X0) | curious(X0)) => quiet(X0)) [input p2]
7. ! [X0] : ((humble(X0) | quiet(X0)) <=> (patient(X0) & ~happy(X0))) [input p6]
13. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> (~curious(X0) ... | 0 |
Everyone who is either not funny or wise is both funny and not generous. Everyone who is either strong or humble is not patient or patient. If someone is both calm and not tall then susan is both not funny and not kind. Everyone who is either funny or old is both wise and calm and vice versa. Everyone who is either not... | Susan is patient. | contradiction | (![X]:((~funny(X)<~>wise(X))=>(funny(X)&~generous(X))))&
(![X]:((strong(X)<~>humble(X))=>(~patient(X)|patient(X))))&
((?[X]:((calm(X)&~tall(X))))=>((~funny(susan)&~kind(susan))))&
(![X]:((funny(X)<~>old(X))<=>(wise(X)&calm(X))))&
(![X]:((~kind(X)<~>humble(X))<=>(strong(X)&tall(X))))&
(![X]:((~strong(X)&~patient(X))<=>~... | patient(susan) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1641098050009873307227913
% SZS output start Proof for 1641098050009873307227913
6. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> ~funny(X0)) [input p5]
21. ~patient(susan) <~> ~funny(susan) [input p20]
25. patient(susan) [input hypothesis]
42. ! [X0] : (((~patient(X0) & ~strong(X0)) | funny... | 0 |
If someone is quiet then mary is patient or happy.
Everyone who is not old or wise is quiet or not calm and vice versa.
If someone is both quiet and not strong then someone is rich or kind.
Everyone who is either not generous or not rich is happy and vice versa.
If susan is not calm then fred is humble and vice versa.
... | Mary is not generous. | contradiction | ((?[X]:(quiet(X)))=>((patient(mary)|happy(mary))))&
(![X]:((~old(X)|wise(X))<=>(quiet(X)|~calm(X))))&
((?[X]:((quiet(X)&~strong(X))))=>(?[X]:((rich(X)|kind(X)))))&
(![X]:((~generous(X)<~>~rich(X))<=>happy(X)))&
((~calm(susan))<=>(humble(fred)))&
(![X]:((~old(X)&strong(X))<=>(~calm(X)&quiet(X))))&
(![X]:((~rich(X)<~>str... | ~generous(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8020400976492034970331106
% SZS output start Proof for 8020400976492034970331106
1. ? [X0] : quiet(X0) => (happy(mary) | patient(mary)) [input p0]
2. ! [X0] : ((wise(X0) | ~old(X0)) <=> (~calm(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> happy(X0)) [input p3... | 0 |
If someone is old then paul is both not tall and not quiet and vice versa.
If lucy is curious then mary is either generous or patient.
Everyone who is not patient is old.
Everyone who is kind or strong is both not creative and calm and vice versa.
If alice is not happy or not tall then paul is both not patient and crea... | Fred is calm. | entailment | ((?[X]:(old(X)))<=>((~tall(paul)&~quiet(paul))))&
((curious(lucy))=>((generous(mary)<~>patient(mary))))&
(![X]:(~patient(X)=>old(X)))&
(![X]:((kind(X)|strong(X))<=>(~creative(X)&calm(X))))&
(((~happy(alice)|~tall(alice)))=>((~patient(paul)&creative(paul))))&
((patient(mary))<=>((creative(fred)&wise(fred))))&
(![X]:(bra... | calm(fred) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4845188661702325520416562
% SZS output start Proof for 4845188661702325520416562
4. ! [X0] : ((strong(X0) | kind(X0)) <=> (calm(X0) & ~creative(X0))) [input p3]
7. ! [X0] : (brave(X0) => tall(X0)) [input p6]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~old(X0) & generous(X0))) [input p7]
9.... | 0 |
If lucy is not kind then someone is either old or patient and vice versa. Everyone who is tall is both funny and not tall and vice versa. Everyone who is not tall or not generous is not generous and vice versa. Everyone who is either calm or rich is both not funny and curious. If lucy is strong then someone is funny or... | Paul is quiet. | entailment | ((~kind(lucy))<=>(?[X]:((old(X)<~>patient(X)))))&
(![X]:(tall(X)<=>(funny(X)&~tall(X))))&
(![X]:((~tall(X)|~generous(X))<=>~generous(X)))&
(![X]:((calm(X)<~>rich(X))=>(~funny(X)&curious(X))))&
((strong(lucy))=>(?[X]:((funny(X)|~kind(X)))))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:((~strong(X)|~old(X)))))&
(((~tall(fred)<~>s... | quiet(paul) | [
"p1",
"p2",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6036942926435118210939011
% SZS output start Proof for 6036942926435118210939011
2. ! [X0] : (tall(X0) <=> (~tall(X0) & funny(X0))) [input p1]
3. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> ~generous(X0)) [input p2]
9. ! [X0] : (~strong(X0) <=> ~generous(X0)) [input p8]
11. ! [X0] : (patien... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Mary is old. | entailment | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | old(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7401221354047536566189539
% SZS output start Proof for 7401221354047536566189539
16. ! [X0] : ((~old(X0) <~> ~generous(X0)) <=> ~generous(X0)) [input p15]
24. ~old(mary) [input hypothesis]
72. ! [X0] : ((((generous(X0) | old(X0)) & (~generous(X0) | ~old(X0))) | generous(X0)) & (~generous(... | 0 |
If lucy is funny then someone is quiet or not kind.
If lucy is both not rich and quiet then someone is not humble and vice versa.
If fred is not quiet then susan is both tall and creative.
If someone is kind then someone is not generous.
If someone is either not funny or not wise then susan is not creative or funny.
Ev... | Lucy is generous. | contradiction | ((funny(lucy))=>(?[X]:((quiet(X)|~kind(X)))))&
(((~rich(lucy)&quiet(lucy)))<=>(?[X]:(~humble(X))))&
((~quiet(fred))=>((tall(susan)&creative(susan))))&
((?[X]:(kind(X)))=>(?[X]:(~generous(X))))&
((?[X]:((~funny(X)<~>~wise(X))))=>((~creative(susan)|funny(susan))))&
(![X]:((patient(X)<~>wise(X))<=>(kind(X)|funny(X))))&
(!... | generous(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5528272858947269568617687
% SZS output start Proof for 5528272858947269568617687
9. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~generous(X0) | tall(X0))) [input p8]
24. generous(lucy) [input hypothesis]
53. ! [X0] : (((~generous(X0) | ~tall(X0)) | (generous(X0) & ~tall(X0))) & ((~generous... | 0 |
Everyone who is either generous or calm is either kind or old. Everyone who is both not funny and not quiet is both not funny and funny and vice versa. Everyone who is both curious and not generous is happy or not kind. If mary is calm or brave then someone is either kind or not tall. Everyone who is calm or kind is ki... | Fred is curious. | neutral | (![X]:((generous(X)<~>calm(X))=>(kind(X)<~>old(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(~funny(X)&funny(X))))&
(![X]:((curious(X)&~generous(X))=>(happy(X)|~kind(X))))&
(((calm(mary)|brave(mary)))=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((calm(X)|kind(X))<=>(kind(X)|humble(X))))&
((funny(lucy))=>(?[X]:((~creative(X)|funny(... | curious(fred) | [] | null | 0 |
Everyone who is either rich or not generous is not funny or humble.
Everyone who is not patient or humble is either not curious or generous and vice versa.
Everyone who is either not creative or patient is both not kind and not creative.
Everyone who is either not calm or patient is creative or not wise and vice versa.... | Paul is patient. | neutral | (![X]:((rich(X)<~>~generous(X))=>(~funny(X)|humble(X))))&
(![X]:((~patient(X)|humble(X))<=>(~curious(X)<~>generous(X))))&
(![X]:((~creative(X)<~>patient(X))=>(~kind(X)&~creative(X))))&
(![X]:((~calm(X)<~>patient(X))<=>(creative(X)|~wise(X))))&
(![X]:((~tall(X)<~>generous(X))=>(~funny(X)|~quiet(X))))&
(((~wise(alice)|br... | patient(paul) | [] | null | 0 |
Everyone who is both tall and not curious is rich and vice versa. Everyone who is curious is wise or brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble.... | Susan is not happy. | neutral | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred... | ~happy(susan) | [] | null | 0 |
Everyone who is not rich or not strong is both humble and wise.
Everyone who is either brave or quiet is either not brave or not calm.
Everyone who is not creative or humble is rich or strong and vice versa.
Everyone who is both not humble and curious is either not funny or old.
If mary is generous or not generous then... | Lucy is not rich. | neutral | (![X]:((~rich(X)|~strong(X))=>(humble(X)&wise(X))))&
(![X]:((brave(X)<~>quiet(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((~creative(X)|humble(X))<=>(rich(X)|strong(X))))&
(![X]:((~humble(X)&curious(X))=>(~funny(X)<~>old(X))))&
(((generous(mary)|~generous(mary)))=>((~curious(mary)|~creative(mary))))&
(((humble(mary)<~>quiet(... | ~rich(lucy) | [] | null | 0 |
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