premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If mary is not rich or curious then john is kind or tall and vice versa.
Everyone who is wise or kind is not tall or not kind and vice versa.
If fred is both not wise and not funny then mary is either not funny or not quiet and vice versa.
Everyone who is both rich and wise is either not rich or tall and vice versa.
Ev... | Mary is not rich. | neutral | (((~rich(mary)|curious(mary)))<=>((kind(john)|tall(john))))&
(![X]:((wise(X)|kind(X))<=>(~tall(X)|~kind(X))))&
(((~wise(fred)&~funny(fred)))<=>((~funny(mary)<~>~quiet(mary))))&
(![X]:((rich(X)&wise(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~quiet(X)&~patient(X))=>~old(X)))&
(![X]:(~rich(X)<=>(curious(X)&~kind(X))))&
(![X]:... | ~rich(mary) | [] | null | 0 |
If lucy is not funny or not kind then paul is both humble and happy.
If john is either quiet or kind then alice is rich or not happy and vice versa.
If someone is both not strong and calm then mary is either quiet or tall and vice versa.
Everyone who is not tall is both not tall and not generous.
Everyone who is both c... | Fred is not quiet. | entailment | (((~funny(lucy)|~kind(lucy)))=>((humble(paul)&happy(paul))))&
(((quiet(john)<~>kind(john)))<=>((rich(alice)|~happy(alice))))&
((?[X]:((~strong(X)&calm(X))))<=>((quiet(mary)<~>tall(mary))))&
(![X]:(~tall(X)=>(~tall(X)&~generous(X))))&
(![X]:((creative(X)&~patient(X))<=>old(X)))&
(![X]:((humble(X)|happy(X))<=>(~tall(X)|c... | ~quiet(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4151821519729746550675408
% SZS output start Proof for 4151821519729746550675408
14. ! [X0] : ((funny(X0) | ~funny(X0)) => (happy(X0) & ~quiet(X0))) [input p13]
24. quiet(fred) [input hypothesis]
35. ! [X0] : ((happy(X0) & ~quiet(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 14]
1... | 0 |
Everyone who is either not creative or not generous is rich and vice versa.
Everyone who is not brave or not strong is both not old and not wise and vice versa.
If someone is creative or patient then paul is brave and vice versa.
Everyone who is humble is both funny and not quiet.
Everyone who is funny is both happy an... | Mary is not generous. | neutral | (![X]:((~creative(X)<~>~generous(X))<=>rich(X)))&
(![X]:((~brave(X)|~strong(X))<=>(~old(X)&~wise(X))))&
((?[X]:((creative(X)|patient(X))))<=>(brave(paul)))&
(![X]:(humble(X)=>(funny(X)&~quiet(X))))&
(![X]:(funny(X)<=>(happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>~generous(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>... | ~generous(mary) | [] | null | 0 |
Everyone who is not funny or patient is not quiet.
Everyone who is old or curious is not rich and vice versa.
Everyone who is either not wise or not calm is both not old and tall.
If susan is not generous then someone is happy or wise.
Everyone who is both creative and not quiet is both not patient and not generous.
Ev... | Susan is old. | neutral | (![X]:((~funny(X)|patient(X))=>~quiet(X)))&
(![X]:((old(X)|curious(X))<=>~rich(X)))&
(![X]:((~wise(X)<~>~calm(X))=>(~old(X)&tall(X))))&
((~generous(susan))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((creative(X)&~quiet(X))=>(~patient(X)&~generous(X))))&
(![X]:((creative(X)<~>~humble(X))<=>(curious(X)<~>~curious(X))))&
((?[X... | old(susan) | [] | null | 0 |
Everyone who is wise or not tall is kind and vice versa.
Everyone who is rich is either strong or old and vice versa.
Everyone who is kind or generous is both humble and wise.
Everyone who is either not funny or not brave is either not old or not rich and vice versa.
Everyone who is humble is both not kind and creative... | Alice is old. | entailment | (![X]:((wise(X)|~tall(X))<=>kind(X)))&
(![X]:(rich(X)<=>(strong(X)<~>old(X))))&
(![X]:((kind(X)|generous(X))=>(humble(X)&wise(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(humble(X)<=>(~kind(X)&creative(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:((~patient(X)|humbl... | old(alice) | [
"p0",
"p2",
"p4",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8147802875934848281489826
% SZS output start Proof for 8147802875934848281489826
1. ! [X0] : ((~tall(X0) | wise(X0)) <=> kind(X0)) [input p0]
3. ! [X0] : ((generous(X0) | kind(X0)) => (wise(X0) & humble(X0))) [input p2]
5. ! [X0] : (humble(X0) <=> (creative(X0) & ~kind(X0))) [input p4]
13... | 0 |
If lucy is either not tall or tall then alice is not kind and vice versa. Everyone who is happy is humble and vice versa. Everyone who is either not old or not quiet is curious or not creative and vice versa. Everyone who is strong or brave is not patient. Everyone who is either not generous or not funny is both not cr... | Mary is not generous. | contradiction | (((~tall(lucy)<~>tall(lucy)))<=>(~kind(alice)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~old(X)<~>~quiet(X))<=>(curious(X)|~creative(X))))&
(![X]:((strong(X)|brave(X))=>~patient(X)))&
(![X]:((~generous(X)<~>~funny(X))<=>(~creative(X)&~patient(X))))&
(![X]:((humble(X)|~strong(X))<=>(patient(X)&~brave(X))))&
(![X]:((~qui... | ~generous(mary) | [
"p1",
"p5",
"p6",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7983444311921299220711906
% SZS output start Proof for 7983444311921299220711906
2. ! [X0] : (happy(X0) <=> humble(X0)) [input p1]
6. ! [X0] : ((~strong(X0) | humble(X0)) <=> (~brave(X0) & patient(X0))) [input p5]
7. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (kind(X0) | humble(X0))) [inp... | 0 |
Everyone who is rich or not strong is not kind.
Everyone who is rich is old and vice versa.
If fred is both funny and not calm then someone is kind or not quiet and vice versa.
Everyone who is not quiet or happy is both patient and generous and vice versa.
If someone is happy then mary is either kind or not patient and... | Fred is generous. | entailment | (![X]:((rich(X)|~strong(X))=>~kind(X)))&
(![X]:(rich(X)<=>old(X)))&
(((funny(fred)&~calm(fred)))<=>(?[X]:((kind(X)|~quiet(X)))))&
(![X]:((~quiet(X)|happy(X))<=>(patient(X)&generous(X))))&
((?[X]:(happy(X)))<=>((kind(mary)<~>~patient(mary))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:((~b... | generous(fred) | [
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4479142755151216504679995
% SZS output start Proof for 4479142755151216504679995
4. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (generous(X0) & patient(X0))) [input p3]
7. ! [X0] : ((humble(X0) & ~brave(X0)) <=> (old(X0) | ~happy(X0))) [input p6]
14. ! [X0] : (~generous(X0) <=> (brave(X0) & hu... | 0 |
If someone is not curious then lucy is calm.
Everyone who is both not calm and not rich is either happy or rich.
Everyone who is either humble or tall is old or not brave.
Everyone who is patient is either not creative or wise and vice versa.
Everyone who is not patient or creative is both not old and not strong and vi... | Fred is not old. | entailment | ((?[X]:(~curious(X)))=>(calm(lucy)))&
(![X]:((~calm(X)&~rich(X))=>(happy(X)<~>rich(X))))&
(![X]:((humble(X)<~>tall(X))=>(old(X)|~brave(X))))&
(![X]:(patient(X)<=>(~creative(X)<~>wise(X))))&
(![X]:((~patient(X)|creative(X))<=>(~old(X)&~strong(X))))&
((?[X]:((~humble(X)&~patient(X))))<=>((strong(susan)<~>~strong(susan)))... | ~old(fred) | [
"p4",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4121930210911107047709600
% SZS output start Proof for 4121930210911107047709600
5. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~strong(X0) & ~old(X0))) [input p4]
8. ! [X0] : (~patient(X0) <=> (tall(X0) | ~rich(X0))) [input p7]
19. ~rich(fred) [input p18]
25. old(fred) [input hypothesis... | 0 |
Everyone who is curious is both not curious and not calm.
If someone is both kind and curious then someone is patient and vice versa.
Everyone who is strong is either generous or not happy and vice versa.
Everyone who is creative is both not curious and not quiet and vice versa.
If paul is both rich and humble then som... | Mary is not tall. | neutral | (![X]:(curious(X)=>(~curious(X)&~calm(X))))&
((?[X]:((kind(X)&curious(X))))<=>(?[X]:(patient(X))))&
(![X]:(strong(X)<=>(generous(X)<~>~happy(X))))&
(![X]:(creative(X)<=>(~curious(X)&~quiet(X))))&
(((rich(paul)&humble(paul)))<=>(?[X]:((kind(X)|~kind(X)))))&
(![X]:(brave(X)=>(brave(X)&calm(X))))&
(![X]:(~generous(X)<=>fu... | ~tall(mary) | [] | null | 0 |
Everyone who is both not funny and not generous is either not kind or happy. If lucy is not happy or not patient then paul is calm or tall. If lucy is both happy and tall then alice is calm and vice versa. Everyone who is both not strong and rich is both not strong and not funny and vice versa. If susan is either tall ... | Alice is not old. | entailment | (![X]:((~funny(X)&~generous(X))=>(~kind(X)<~>happy(X))))&
(((~happy(lucy)|~patient(lucy)))=>((calm(paul)|tall(paul))))&
(((happy(lucy)&tall(lucy)))<=>(calm(alice)))&
(![X]:((~strong(X)&rich(X))<=>(~strong(X)&~funny(X))))&
(((tall(susan)<~>~quiet(susan)))=>(?[X]:((brave(X)<~>~creative(X)))))&
((?[X]:((tall(X)&~calm(X)))... | ~old(alice) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8231617061974545008506135
% SZS output start Proof for 8231617061974545008506135
7. ! [X0] : ((brave(X0) | generous(X0)) => (patient(X0) & ~humble(X0))) [input p6]
9. ! [X0] : ((old(X0) | ~quiet(X0)) => (~patient(X0) & brave(X0))) [input p8]
25. old(alice) [input hypothesis]
31. ! [X0] : ... | 0 |
Everyone who is both curious and not generous is either old or tall and vice versa.
Everyone who is either not happy or not brave is both not wise and not brave.
Everyone who is both not humble and happy is either not funny or not generous.
If someone is either curious or rich then susan is either not humble or not ric... | Alice is curious. | neutral | (![X]:((curious(X)&~generous(X))<=>(old(X)<~>tall(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~wise(X)&~brave(X))))&
(![X]:((~humble(X)&happy(X))=>(~funny(X)<~>~generous(X))))&
((?[X]:((curious(X)<~>rich(X))))<=>((~humble(susan)<~>~rich(susan))))&
((?[X]:(quiet(X)))<=>(rich(alice)))&
((creative(lucy))<=>(?[X]:((~brave(X)|~... | curious(alice) | [] | null | 0 |
Everyone who is not generous or not strong is generous and vice versa.
Everyone who is not brave or funny is not humble and vice versa.
Everyone who is wise or not kind is either patient or not funny.
If someone is wise then mary is either strong or not happy.
If someone is not patient then mary is tall.
If lucy is not... | Paul is tall. | entailment | (![X]:((~generous(X)|~strong(X))<=>generous(X)))&
(![X]:((~brave(X)|funny(X))<=>~humble(X)))&
(![X]:((wise(X)|~kind(X))=>(patient(X)<~>~funny(X))))&
((?[X]:(wise(X)))=>((strong(mary)<~>~happy(mary))))&
((?[X]:(~patient(X)))=>(tall(mary)))&
((~humble(lucy))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~funny(X)<~>~happy(X)... | tall(paul) | [
"p0",
"p1",
"p6",
"p7",
"p8",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5101962602549644871509759
% SZS output start Proof for 5101962602549644871509759
1. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> generous(X0)) [input p0]
2. ! [X0] : ((funny(X0) | ~brave(X0)) <=> ~humble(X0)) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> (~brave(X0) <~> ~funny(X0... | 0 |
If someone is generous then mary is both old and not wise and vice versa.
If someone is both old and kind then someone is either brave or not calm and vice versa.
Everyone who is not quiet is not calm and vice versa.
If someone is creative or rich then john is patient and vice versa.
Everyone who is not curious is funn... | Fred is strong. | neutral | ((?[X]:(generous(X)))<=>((old(mary)&~wise(mary))))&
((?[X]:((old(X)&kind(X))))<=>(?[X]:((brave(X)<~>~calm(X)))))&
(![X]:(~quiet(X)<=>~calm(X)))&
((?[X]:((creative(X)|rich(X))))<=>(patient(john)))&
(![X]:(~curious(X)=>(funny(X)|old(X))))&
((?[X]:((~rich(X)<~>patient(X))))<=>((~brave(fred)<~>~tall(fred))))&
(![X]:((gener... | strong(fred) | [] | null | 0 |
Everyone who is not patient or wise is both old and not rich. Everyone who is not humble or quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. ... | Alice is curious. | neutral | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(... | curious(alice) | [] | null | 0 |
If someone is happy or not happy then fred is not wise or not strong and vice versa.
Everyone who is either patient or wise is not generous and vice versa.
If someone is generous then alice is not old or wise and vice versa.
Everyone who is not strong or rich is not happy or patient.
Everyone who is not old or patient ... | Alice is not kind. | entailment | ((?[X]:((happy(X)|~happy(X))))<=>((~wise(fred)|~strong(fred))))&
(![X]:((patient(X)<~>wise(X))<=>~generous(X)))&
((?[X]:(generous(X)))<=>((~old(alice)|wise(alice))))&
(![X]:((~strong(X)|rich(X))=>(~happy(X)|patient(X))))&
(![X]:((~old(X)|patient(X))<=>humble(X)))&
(![X]:(~wise(X)<=>(strong(X)<~>~kind(X))))&
(![X]:((pat... | ~kind(alice) | [
"p1",
"p5",
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 79224395919723504569278
% SZS output start Proof for 79224395919723504569278
2. ! [X0] : ((patient(X0) <~> wise(X0)) <=> ~generous(X0)) [input p1]
6. ! [X0] : (~wise(X0) <=> (strong(X0) <~> ~kind(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & patient(X0)) <=> ~generous(X0)) [input p6]
15.... | 0 |
Everyone who is not tall or not kind is either not tall or not calm and vice versa.
Everyone who is both patient and rich is not calm or calm.
Everyone who is either not old or not kind is both wise and not tall.
Everyone who is both not wise and not humble is both tall and not happy and vice versa.
Everyone who is not... | John is funny. | entailment | (![X]:((~tall(X)|~kind(X))<=>(~tall(X)<~>~calm(X))))&
(![X]:((patient(X)&rich(X))=>(~calm(X)|calm(X))))&
(![X]:((~old(X)<~>~kind(X))=>(wise(X)&~tall(X))))&
(![X]:((~wise(X)&~humble(X))<=>(tall(X)&~happy(X))))&
(![X]:(~brave(X)=>(curious(X)|brave(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((~funny(X)|rich(X)))))&
(... | funny(john) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2605385603712904332365938
% SZS output start Proof for 2605385603712904332365938
1. ! [X0] : ((~kind(X0) | ~tall(X0)) <=> (~tall(X0) <~> ~calm(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~kind(X0)) => (~tall(X0) & wise(X0))) [input p2]
6. ? [X0] : (~patient(X0) & ~calm(X0)) <=> ? [X0] : (... | 0 |
Everyone who is not old or not creative is not tall or strong and vice versa. Everyone who is not brave or rich is not patient or not creative. If paul is both tall and rich then john is either not old or not tall. Everyone who is humble is either not calm or not quiet and vice versa. If someone is either not brave or ... | Lucy is not quiet. | contradiction | (![X]:((~old(X)|~creative(X))<=>(~tall(X)|strong(X))))&
(![X]:((~brave(X)|rich(X))=>(~patient(X)|~creative(X))))&
(((tall(paul)&rich(paul)))=>((~old(john)<~>~tall(john))))&
(![X]:(humble(X)<=>(~calm(X)<~>~quiet(X))))&
((?[X]:((~brave(X)<~>~calm(X))))<=>(?[X]:((humble(X)&~strong(X)))))&
(((~brave(lucy)|humble(lucy)))=>(... | ~quiet(lucy) | [
"p3",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1082880388039101951372526
% SZS output start Proof for 1082880388039101951372526
4. ! [X0] : (humble(X0) <=> (~calm(X0) <~> ~quiet(X0))) [input p3]
9. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(X0))) [input p8]
10. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (tall(X0) | ~curi... | 0 |
Everyone who is both not patient and not happy is not generous and vice versa. If alice is either creative or not patient then someone is old and vice versa. Everyone who is patient or not patient is not funny and vice versa. Everyone who is either rich or not strong is either brave or tall and vice versa. Everyone who... | Paul is funny. | contradiction | (![X]:((~patient(X)&~happy(X))<=>~generous(X)))&
(((creative(alice)<~>~patient(alice)))<=>(?[X]:(old(X))))&
(![X]:((patient(X)|~patient(X))<=>~funny(X)))&
(![X]:((rich(X)<~>~strong(X))<=>(brave(X)<~>tall(X))))&
(![X]:((~humble(X)|~tall(X))<=>(calm(X)<~>~creative(X))))&
(![X]:((kind(X)<~>old(X))=>(~generous(X)|~patient(... | funny(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8146569224511577671553901
% SZS output start Proof for 8146569224511577671553901
3. ! [X0] : ((~patient(X0) | patient(X0)) <=> ~funny(X0)) [input p2]
25. funny(paul) [input hypothesis]
45. ! [X0] : (((~patient(X0) | patient(X0)) | funny(X0)) & (~funny(X0) | (patient(X0) & ~patient(X0)))) ... | 0 |
If someone is not patient or brave then someone is both happy and not happy. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who is happy or not funny is not tall or not humble and vice versa. If someone is rich then someone is not funny.... | Paul is kind. | neutral | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~... | kind(paul) | [] | null | 0 |
If someone is both not strong and calm then paul is both not wise and not rich and vice versa.
Everyone who is both not wise and generous is brave or not funny and vice versa.
Everyone who is not tall is quiet or not happy and vice versa.
If paul is rich then mary is both wise and not kind.
Everyone who is not happy is... | John is not calm. | entailment | ((?[X]:((~strong(X)&calm(X))))<=>((~wise(paul)&~rich(paul))))&
(![X]:((~wise(X)&generous(X))<=>(brave(X)|~funny(X))))&
(![X]:(~tall(X)<=>(quiet(X)|~happy(X))))&
((rich(paul))=>((wise(mary)&~kind(mary))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:((~brav... | ~calm(john) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 723162359253933175199308
% SZS output start Proof for 723162359253933175199308
2. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (~funny(X0) | brave(X0))) [input p1]
3. ! [X0] : (~tall(X0) <=> (~happy(X0) | quiet(X0))) [input p2]
5. ! [X0] : (~happy(X0) <=> generous(X0)) [input p4]
7. ! [X0] : ... | 0 |
If someone is both not rich and calm then alice is either quiet or not kind and vice versa. If john is either not happy or quiet then someone is both curious and happy and vice versa. Everyone who is either happy or tall is both curious and not creative and vice versa. Everyone who is either not wise or not strong is b... | Mary is humble. | neutral | ((?[X]:((~rich(X)&calm(X))))<=>((quiet(alice)<~>~kind(alice))))&
(((~happy(john)<~>quiet(john)))<=>(?[X]:((curious(X)&happy(X)))))&
(![X]:((happy(X)<~>tall(X))<=>(curious(X)&~creative(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(humble(X)&calm(X))))&
(![X]:((~old(X)<~>~creative(X))=>(~humble(X)&quiet(X))))&
(![X]:(brave(X)<... | humble(mary) | [] | null | 0 |
Everyone who is either not brave or funny is not quiet and vice versa.
Everyone who is not happy or kind is either creative or happy.
Everyone who is either curious or brave is not old or not generous and vice versa.
Everyone who is kind or humble is not curious and vice versa.
If someone is not curious then mary is bo... | Mary is kind. | entailment | (![X]:((~brave(X)<~>funny(X))<=>~quiet(X)))&
(![X]:((~happy(X)|kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~old(X)|~generous(X))))&
(![X]:((kind(X)|humble(X))<=>~curious(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)&kind(mary))))&
((patient(paul))<=>(humble(john)))&
(![X]:((~funny(X)<~>~bra... | kind(mary) | [
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6223365516527476298668335
% SZS output start Proof for 6223365516527476298668335
5. ? [X0] : ~curious(X0) <=> (kind(mary) & creative(mary)) [input p4]
12. (~curious(mary) & ~patient(mary)) <=> ? [X0] : (~old(X0) | wise(X0)) [input p11]
15. ! [X0] : ((~wise(X0) | ~creative(X0)) => (calm(X0... | 0 |
If someone is not tall then someone is wise and vice versa.
If john is both old and not brave then someone is calm or funny.
If lucy is both old and not generous then susan is both not creative and humble and vice versa.
Everyone who is both not wise and not calm is both not happy and generous.
If alice is humble then ... | John is happy. | neutral | ((?[X]:(~tall(X)))<=>(?[X]:(wise(X))))&
(((old(john)&~brave(john)))=>(?[X]:((calm(X)|funny(X)))))&
(((old(lucy)&~generous(lucy)))<=>((~creative(susan)&humble(susan))))&
(![X]:((~wise(X)&~calm(X))=>(~happy(X)&generous(X))))&
((humble(alice))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((~wise(X)&strong(X))=>tall(X)))&... | happy(john) | [] | null | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is not wise or tall is both not calm and wise and vice versa.
If mary is funny then john is old or patient.
If lucy is both quiet and not rich then mary is not funny or humble.
If someone is both funny and patient then paul is old.
Everyone... | John is brave. | neutral | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~wise(X)|tall(X))<=>(~calm(X)&wise(X))))&
((funny(mary))=>((old(john)|patient(john))))&
(((quiet(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patien... | brave(john) | [] | null | 0 |
If fred is not humble or brave then someone is not old or kind and vice versa. If fred is both quiet and not generous then someone is not wise and vice versa. If someone is either calm or not calm then someone is either not creative or tall. If alice is both old and generous then fred is rich or wise and vice versa. Ev... | Alice is not generous. | neutral | (((~humble(fred)|brave(fred)))<=>(?[X]:((~old(X)|kind(X)))))&
(((quiet(fred)&~generous(fred)))<=>(?[X]:(~wise(X))))&
((?[X]:((calm(X)<~>~calm(X))))=>(?[X]:((~creative(X)<~>tall(X)))))&
(((old(alice)&generous(alice)))<=>((rich(fred)|wise(fred))))&
(![X]:((tall(X)&~patient(X))=>~quiet(X)))&
(((~creative(mary)&~strong(mar... | ~generous(alice) | [] | null | 0 |
If someone is both generous and quiet then someone is both not creative and brave and vice versa.
Everyone who is both not curious and creative is both not curious and not calm and vice versa.
If someone is not strong then someone is either creative or not old.
Everyone who is either funny or creative is either humble ... | Mary is tall. | neutral | ((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((~curious(X)&creative(X))<=>(~curious(X)&~calm(X))))&
((?[X]:(~strong(X)))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((funny(X)<~>creative(X))<=>(humble(X)<~>creative(X))))&
(((happy(alice)|~generous(alice)))=>((brave(mary)|calm(mary))))&
(![X... | tall(mary) | [] | null | 0 |
Everyone who is both not old and patient is both rich and not brave and vice versa.
If mary is not strong or quiet then fred is tall or quiet and vice versa.
Everyone who is both not curious and not brave is not tall.
Everyone who is quiet is old or rich.
If someone is quiet then susan is either old or not happy.
Every... | Susan is not strong. | neutral | (![X]:((~old(X)&patient(X))<=>(rich(X)&~brave(X))))&
(((~strong(mary)|quiet(mary)))<=>((tall(fred)|quiet(fred))))&
(![X]:((~curious(X)&~brave(X))=>~tall(X)))&
(![X]:(quiet(X)=>(old(X)|rich(X))))&
((?[X]:(quiet(X)))=>((old(susan)<~>~happy(susan))))&
(![X]:((creative(X)<~>~happy(X))=>(tall(X)<~>~tall(X))))&
(((~happy(mar... | ~strong(susan) | [] | null | 0 |
If fred is calm or curious then someone is strong.
Everyone who is not old or creative is either curious or kind and vice versa.
Everyone who is either quiet or not old is either not curious or kind.
Everyone who is both tall and old is either tall or calm and vice versa.
Everyone who is kind is quiet.
Everyone who is ... | Alice is not quiet. | contradiction | (((calm(fred)|curious(fred)))=>(?[X]:(strong(X))))&
(![X]:((~old(X)|creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~curious(X)<~>kind(X))))&
(![X]:((tall(X)&old(X))<=>(tall(X)<~>calm(X))))&
(![X]:(kind(X)=>quiet(X)))&
(![X]:((~kind(X)&~humble(X))<=>(old(X)|curious(X))))&
(![X]:((~curious(X)<~>qu... | ~quiet(alice) | [
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5053543575390346463814266
% SZS output start Proof for 5053543575390346463814266
5. ! [X0] : (kind(X0) => quiet(X0)) [input p4]
10. ! [X0] : (generous(X0) <=> (~funny(X0) | ~kind(X0))) [input p9]
18. rich(alice) & ~generous(alice) [input p17]
24. ~quiet(alice) [input hypothesis]
29. ! [X0... | 0 |
Everyone who is not humble is both not creative and funny and vice versa.
If someone is generous or not funny then john is either not happy or not kind and vice versa.
If paul is not humble then mary is either not strong or patient and vice versa.
If someone is patient then susan is not tall or not calm and vice versa.... | Alice is not strong. | entailment | (![X]:(~humble(X)<=>(~creative(X)&funny(X))))&
((?[X]:((generous(X)|~funny(X))))<=>((~happy(john)<~>~kind(john))))&
((~humble(paul))<=>((~strong(mary)<~>patient(mary))))&
((?[X]:(patient(X)))<=>((~tall(susan)|~calm(susan))))&
((?[X]:((~wise(X)<~>~patient(X))))=>(?[X]:((quiet(X)|~funny(X)))))&
((?[X]:((calm(X)<~>~happy(... | ~strong(alice) | [
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2555057412742419589565867
% SZS output start Proof for 2555057412742419589565867
10. (funny(alice) & ~strong(alice)) <=> ? [X0] : (calm(X0) | ~rich(X0)) [input p9]
16. strong(mary) & ~patient(mary) [input p15]
22. strong(mary) <~> ~calm(mary) [input p21]
24. strong(alice) [input hypothesi... | 0 |
If someone is either not patient or curious then someone is either kind or quiet and vice versa.
Everyone who is both not happy and not wise is either quiet or curious.
If someone is happy then someone is both not strong and generous and vice versa.
Everyone who is either patient or not calm is both not quiet and not h... | Fred is not strong. | neutral | ((?[X]:((~patient(X)<~>curious(X))))<=>(?[X]:((kind(X)<~>quiet(X)))))&
(![X]:((~happy(X)&~wise(X))=>(quiet(X)<~>curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((patient(X)<~>~calm(X))=>(~quiet(X)&~happy(X))))&
(![X]:(~old(X)<=>generous(X)))&
(![X]:((~wise(X)&rich(X))<=>(generous(X)|~humbl... | ~strong(fred) | [] | null | 0 |
Everyone who is old or brave is both not humble and not happy and vice versa.
If someone is not curious or not creative then fred is not rich and vice versa.
Everyone who is strong or not humble is not brave or old.
If someone is either patient or tall then susan is not creative.
Everyone who is not quiet is not strong... | Paul is not kind. | contradiction | (![X]:((old(X)|brave(X))<=>(~humble(X)&~happy(X))))&
((?[X]:((~curious(X)|~creative(X))))<=>(~rich(fred)))&
(![X]:((strong(X)|~humble(X))=>(~brave(X)|old(X))))&
((?[X]:((patient(X)<~>tall(X))))=>(~creative(susan)))&
(![X]:(~quiet(X)<=>~strong(X)))&
(((~tall(paul)&kind(paul)))<=>(?[X]:((curious(X)|~creative(X)))))&
(![X... | ~kind(paul) | [
"p4",
"p5",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 904520535558121731339316
% SZS output start Proof for 904520535558121731339316
5. ! [X0] : (~quiet(X0) <=> ~strong(X0)) [input p4]
6. (kind(paul) & ~tall(paul)) <=> ? [X0] : (~creative(X0) | curious(X0)) [input p5]
10. ! [X0] : (curious(X0) <=> strong(X0)) [input p9]
21. quiet(alice) [inp... | 0 |
If susan is not tall or wise then lucy is not calm. If alice is happy then someone is either humble or quiet and vice versa. Everyone who is not patient is both old and not kind. Everyone who is old is both generous and quiet and vice versa. Everyone who is both not patient and wise is either old or not generous and vi... | Susan is old. | contradiction | (((~tall(susan)|wise(susan)))=>(~calm(lucy)))&
((happy(alice))<=>(?[X]:((humble(X)<~>quiet(X)))))&
(![X]:(~patient(X)=>(old(X)&~kind(X))))&
(![X]:(old(X)<=>(generous(X)&quiet(X))))&
(![X]:((~patient(X)&wise(X))<=>(old(X)<~>~generous(X))))&
(((~happy(paul)|~curious(paul)))=>((quiet(lucy)<~>tall(lucy))))&
(((~brave(alice... | old(susan) | [
"p2",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2653546719544365753608905
% SZS output start Proof for 2653546719544365753608905
3. ! [X0] : (~patient(X0) => (~kind(X0) & old(X0))) [input p2]
4. ! [X0] : (old(X0) <=> (quiet(X0) & generous(X0))) [input p3]
5. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (old(X0) <~> ~generous(X0))) [input p4... | 0 |
If susan is either not kind or not quiet then someone is both not rich and calm.
Everyone who is both not curious and not tall is both not humble and strong and vice versa.
If someone is both patient and not brave then mary is both not creative and not rich and vice versa.
Everyone who is not generous is wise or not wi... | Mary is not calm. | neutral | (((~kind(susan)<~>~quiet(susan)))=>(?[X]:((~rich(X)&calm(X)))))&
(![X]:((~curious(X)&~tall(X))<=>(~humble(X)&strong(X))))&
((?[X]:((patient(X)&~brave(X))))<=>((~creative(mary)&~rich(mary))))&
(![X]:(~generous(X)=>(wise(X)|~wise(X))))&
((?[X]:((~curious(X)&~patient(X))))<=>((patient(lucy)|funny(lucy))))&
((?[X]:((~gener... | ~calm(mary) | [] | null | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Alice is creative. | entailment | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | creative(alice) | [
"p2",
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3620172090422331347999572
% SZS output start Proof for 3620172090422331347999572
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : (~creative(X0) => (~happy(X0) & strong(X0))) [input p4]
6. ! [X0] : ((~brave(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
13. ! [X0] : ((~wise(X0) |... | 0 |
If someone is generous then someone is patient or tall and vice versa.
Everyone who is both not patient and not happy is either funny or not tall.
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is ... | Susan is not strong. | entailment | ((?[X]:(generous(X)))<=>(?[X]:((patient(X)|tall(X)))))&
(![X]:((~patient(X)&~happy(X))=>(funny(X)<~>~tall(X))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))... | ~strong(susan) | [
"p2",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3398515560164751419596894
% SZS output start Proof for 3398515560164751419596894
3. ! [X0] : (~brave(X0) <=> rich(X0)) [input p2]
7. ! [X0] : ((~patient(X0) | creative(X0)) => (brave(X0) <~> creative(X0))) [input p6]
9. ! [X0] : ((~old(X0) | ~rich(X0)) <=> patient(X0)) [input p8]
11. ! [X... | 0 |
Everyone who is either strong or happy is both not happy and creative. Everyone who is not generous or calm is either not calm or generous and vice versa. Everyone who is both not funny and strong is both not kind and old and vice versa. Everyone who is either not kind or brave is both humble and creative and vice vers... | Alice is not old. | contradiction | (![X]:((strong(X)<~>happy(X))=>(~happy(X)&creative(X))))&
(![X]:((~generous(X)|calm(X))<=>(~calm(X)<~>generous(X))))&
(![X]:((~funny(X)&strong(X))<=>(~kind(X)&old(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(humble(X)&creative(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(humble(X)&~wise(X))))&
((?[X]:(~wise(X)))<=>((happy(alice)&~... | ~old(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7706600787177896886629701
% SZS output start Proof for 7706600787177896886629701
9. ? [X0] : creative(X0) <=> old(alice) [input p8]
12. ~creative(mary) <=> (~wise(lucy) & creative(lucy)) [input p11]
24. ~old(alice) [input hypothesis]
49. (? [X0] : creative(X0) | ~old(alice)) & (old(alice)... | 0 |
If someone is both not creative and not generous then fred is funny or not wise and vice versa.
Everyone who is not patient is not old and vice versa.
Everyone who is not brave is not patient or calm and vice versa.
Everyone who is not humble or wise is not strong or happy.
If fred is both curious and not happy then so... | Fred is generous. | neutral | ((?[X]:((~creative(X)&~generous(X))))<=>((funny(fred)|~wise(fred))))&
(![X]:(~patient(X)<=>~old(X)))&
(![X]:(~brave(X)<=>(~patient(X)|calm(X))))&
(![X]:((~humble(X)|wise(X))=>(~strong(X)|happy(X))))&
(((curious(fred)&~happy(fred)))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
((?[X]:((rich(X)&quiet(X))))=>(?[X]:((~strong(X)<~>~o... | generous(fred) | [] | null | 0 |
Everyone who is humble is both brave and not creative and vice versa.
If susan is not wise or generous then paul is both patient and not calm and vice versa.
Everyone who is either not wise or humble is both rich and not humble and vice versa.
If someone is both generous and rich then fred is not tall or strong.
If fre... | Paul is not generous. | contradiction | (![X]:(humble(X)<=>(brave(X)&~creative(X))))&
(((~wise(susan)|generous(susan)))<=>((patient(paul)&~calm(paul))))&
(![X]:((~wise(X)<~>humble(X))<=>(rich(X)&~humble(X))))&
((?[X]:((generous(X)&rich(X))))=>((~tall(fred)|strong(fred))))&
(((brave(fred)&~kind(fred)))=>(?[X]:((~kind(X)|wise(X)))))&
((~happy(fred))<=>((creati... | ~generous(paul) | [
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2922775444096246595775940
% SZS output start Proof for 2922775444096246595775940
12. ! [X0] : ((old(X0) | ~tall(X0)) => (~funny(X0) | generous(X0))) [input p11]
16. ! [X0] : ((~funny(X0) <~> curious(X0)) <=> (~old(X0) & funny(X0))) [input p15]
24. ~curious(paul) [input p23]
25. ~generous(... | 0 |
If someone is either not funny or curious then lucy is funny and vice versa.
If alice is both not humble and wise then someone is both not brave and generous.
Everyone who is both not creative and old is either generous or calm and vice versa.
Everyone who is either not creative or kind is either not tall or not kind.
... | Lucy is strong. | neutral | ((?[X]:((~funny(X)<~>curious(X))))<=>(funny(lucy)))&
(((~humble(alice)&wise(alice)))=>(?[X]:((~brave(X)&generous(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)<~>calm(X))))&
(![X]:((~creative(X)<~>kind(X))=>(~tall(X)<~>~kind(X))))&
(![X]:((brave(X)<~>creative(X))<=>(~brave(X)&generous(X))))&
(![X]:((kind(X)&curiou... | strong(lucy) | [] | null | 0 |
If someone is both not quiet and not creative then alice is wise or curious and vice versa.
If someone is happy then mary is old or not generous and vice versa.
Everyone who is not patient is both not creative and humble.
Everyone who is either not strong or calm is either creative or not quiet and vice versa.
If someo... | Lucy is wise. | entailment | ((?[X]:((~quiet(X)&~creative(X))))<=>((wise(alice)|curious(alice))))&
((?[X]:(happy(X)))<=>((old(mary)|~generous(mary))))&
(![X]:(~patient(X)=>(~creative(X)&humble(X))))&
(![X]:((~strong(X)<~>calm(X))<=>(creative(X)<~>~quiet(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>((rich(fred)&old(fred))))&
(![X]:((old(X)&generous(... | wise(lucy) | [
"p2",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 43235863530026730919064
% SZS output start Proof for 43235863530026730919064
3. ! [X0] : (~patient(X0) => (humble(X0) & ~creative(X0))) [input p2]
7. ! [X0] : ((patient(X0) & wise(X0)) <=> patient(X0)) [input p6]
13. ! [X0] : (~curious(X0) <=> wise(X0)) [input p12]
14. ! [X0] : (~curious(... | 0 |
If someone is both not patient and old then alice is humble.
If alice is not curious or brave then alice is either not generous or patient and vice versa.
If someone is both calm and not curious then mary is either not quiet or funny and vice versa.
Everyone who is both not generous and not happy is not happy.
If mary ... | Alice is patient. | neutral | ((?[X]:((~patient(X)&old(X))))=>(humble(alice)))&
(((~curious(alice)|brave(alice)))<=>((~generous(alice)<~>patient(alice))))&
((?[X]:((calm(X)&~curious(X))))<=>((~quiet(mary)<~>funny(mary))))&
(![X]:((~generous(X)&~happy(X))=>~happy(X)))&
(((~tall(mary)|~happy(mary)))=>((~creative(mary)<~>~quiet(mary))))&
(![X]:((~kind... | patient(alice) | [] | null | 0 |
Everyone who is either curious or wise is tall and vice versa.
Everyone who is either old or not generous is either not generous or not old.
If fred is either kind or not patient then susan is either not curious or tall.
If someone is not old then someone is either not happy or not kind.
Everyone who is either happy or... | John is not kind. | contradiction | (![X]:((curious(X)<~>wise(X))<=>tall(X)))&
(![X]:((old(X)<~>~generous(X))=>(~generous(X)<~>~old(X))))&
(((kind(fred)<~>~patient(fred)))=>((~curious(susan)<~>tall(susan))))&
((?[X]:(~old(X)))=>(?[X]:((~happy(X)<~>~kind(X)))))&
(![X]:((happy(X)<~>~generous(X))<=>(~tall(X)|old(X))))&
(![X]:((funny(X)&generous(X))<=>(happy... | ~kind(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7230946093118777343404245
% SZS output start Proof for 7230946093118777343404245
19. brave(john) & kind(john) [input p18]
25. ~kind(john) [input hypothesis]
145. kind(john) [cnf transformation 19]
152. ~kind(john) [cnf transformation 25]
313. $false [subsumption resolution 152,145]
% SZS ... | 0 |
If lucy is either strong or curious then lucy is both not old and happy.
If someone is not wise then someone is not humble or patient and vice versa.
Everyone who is not wise is not quiet or kind.
Everyone who is either not tall or brave is both creative and not calm.
Everyone who is either not calm or not humble is no... | Lucy is tall. | neutral | (((strong(lucy)<~>curious(lucy)))=>((~old(lucy)&happy(lucy))))&
((?[X]:(~wise(X)))<=>(?[X]:((~humble(X)|patient(X)))))&
(![X]:(~wise(X)=>(~quiet(X)|kind(X))))&
(![X]:((~tall(X)<~>brave(X))=>(creative(X)&~calm(X))))&
(![X]:((~calm(X)<~>~humble(X))<=>(~kind(X)|kind(X))))&
(![X]:((rich(X)<~>brave(X))<=>(~kind(X)|~happy(X)... | tall(lucy) | [] | null | 0 |
Everyone who is either not old or wise is calm or brave and vice versa. Everyone who is not quiet or not strong is either funny or wise and vice versa. Everyone who is either curious or not strong is tall or not patient. Everyone who is calm or not old is not curious or not brave and vice versa. Everyone who is not bra... | Mary is happy. | contradiction | (![X]:((~old(X)<~>wise(X))<=>(calm(X)|brave(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(funny(X)<~>wise(X))))&
(![X]:((curious(X)<~>~strong(X))=>(tall(X)|~patient(X))))&
(![X]:((calm(X)|~old(X))<=>(~curious(X)|~brave(X))))&
(![X]:(~brave(X)=>(~brave(X)&~tall(X))))&
(![X]:((~humble(X)|humble(X))=>(~rich(X)|~creative(X))))&
... | happy(mary) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2038188201420370517367739
% SZS output start Proof for 2038188201420370517367739
1. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (brave(X0) | calm(X0))) [input p0]
4. ! [X0] : ((~old(X0) | calm(X0)) <=> (~brave(X0) | ~curious(X0))) [input p3]
5. ! [X0] : (~brave(X0) => (~tall(X0) & ~brave(X0))) ... | 0 |
Everyone who is either not tall or generous is generous or wise.
Everyone who is patient or funny is either rich or brave and vice versa.
Everyone who is either curious or not patient is both brave and quiet and vice versa.
Everyone who is not calm or not tall is both not patient and not kind and vice versa.
Everyone w... | Mary is not quiet. | entailment | (![X]:((~tall(X)<~>generous(X))=>(generous(X)|wise(X))))&
(![X]:((patient(X)|funny(X))<=>(rich(X)<~>brave(X))))&
(![X]:((curious(X)<~>~patient(X))<=>(brave(X)&quiet(X))))&
(![X]:((~calm(X)|~tall(X))<=>(~patient(X)&~kind(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~creative(X)<~>creative(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~c... | ~quiet(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 866208423503661622893726
% SZS output start Proof for 866208423503661622893726
5. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~creative(X0) <~> creative(X0))) [input p4]
25. quiet(mary) [input hypothesis]
48. ! [X0] : (((~quiet(X0) & ~old(X0)) | ((~creative(X0) | ~creative(X0)) & (creative(X0)... | 0 |
Everyone who is not kind is either brave or quiet.
If someone is both not brave and funny then mary is either wise or kind and vice versa.
If fred is not creative then paul is either not tall or not calm and vice versa.
If someone is creative or not humble then fred is both kind and rich and vice versa.
If someone is o... | Lucy is funny. | neutral | (![X]:(~kind(X)=>(brave(X)<~>quiet(X))))&
((?[X]:((~brave(X)&funny(X))))<=>((wise(mary)<~>kind(mary))))&
((~creative(fred))<=>((~tall(paul)<~>~calm(paul))))&
((?[X]:((creative(X)|~humble(X))))<=>((kind(fred)&rich(fred))))&
((?[X]:((old(X)|generous(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:((~curious(X)&curious(X)... | funny(lucy) | [] | null | 0 |
Everyone who is both rich and not wise is both not kind and not curious.
Everyone who is both tall and calm is not wise.
If someone is not creative then someone is both funny and not strong.
Everyone who is either not happy or quiet is both not rich and not funny and vice versa.
If someone is both creative and curious ... | John is rich. | entailment | (![X]:((rich(X)&~wise(X))=>(~kind(X)&~curious(X))))&
(![X]:((tall(X)&calm(X))=>~wise(X)))&
((?[X]:(~creative(X)))=>(?[X]:((funny(X)&~strong(X)))))&
(![X]:((~happy(X)<~>quiet(X))<=>(~rich(X)&~funny(X))))&
((?[X]:((creative(X)&curious(X))))=>(?[X]:((~brave(X)&calm(X)))))&
(((~patient(susan)|curious(susan)))=>(old(alice))... | rich(john) | [
"p7",
"p9",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8104353367441102233637917
% SZS output start Proof for 8104353367441102233637917
8. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (~kind(X0) | funny(X0))) [input p7]
10. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (wise(X0) & tall(X0))) [input p9]
15. ! [X0] : ((~curious(X0) & funny(X0)) <=> (wise(X0) &... | 0 |
Everyone who is both old and not generous is calm or creative and vice versa.
If susan is not brave then alice is not curious.
If someone is both not calm and happy then susan is either kind or wise and vice versa.
If someone is both not quiet and not calm then susan is both tall and not creative.
Everyone who is not p... | Fred is old. | entailment | (![X]:((old(X)&~generous(X))<=>(calm(X)|creative(X))))&
((~brave(susan))=>(~curious(alice)))&
((?[X]:((~calm(X)&happy(X))))<=>((kind(susan)<~>wise(susan))))&
((?[X]:((~quiet(X)&~calm(X))))=>((tall(susan)&~creative(susan))))&
(![X]:(~patient(X)<=>strong(X)))&
(![X]:((~kind(X)<~>~strong(X))<=>creative(X)))&
(![X]:((~quie... | old(fred) | [
"p0",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7686323710977813480523655
% SZS output start Proof for 7686323710977813480523655
1. ! [X0] : ((~generous(X0) & old(X0)) <=> (creative(X0) | calm(X0))) [input p0]
10. ? [X0] : (~calm(X0) & kind(X0)) <=> ? [X0] : (generous(X0) | ~creative(X0)) [input p9]
12. ! [X0] : (calm(X0) <=> (wise(X0)... | 0 |
If susan is both generous and old then someone is kind and vice versa.
Everyone who is not old is funny.
If someone is not kind then someone is wise.
Everyone who is both wise and not curious is either not strong or old and vice versa.
If someone is either not happy or not generous then fred is either not patient or ca... | John is not creative. | neutral | (((generous(susan)&old(susan)))<=>(?[X]:(kind(X))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:(~kind(X)))=>(?[X]:(wise(X))))&
(![X]:((wise(X)&~curious(X))<=>(~strong(X)<~>old(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((~patient(fred)<~>calm(fred))))&
((?[X]:((~rich(X)|quiet(X))))<=>(?[X]:((tall(X)<~>~strong(X)))))&
((?[X... | ~creative(john) | [] | null | 0 |
Everyone who is wise is either not strong or tall and vice versa.
If mary is not funny or calm then lucy is humble or wise and vice versa.
Everyone who is quiet is generous or not quiet and vice versa.
If someone is not creative or not curious then fred is either not rich or brave and vice versa.
Everyone who is old is... | Lucy is not quiet. | contradiction | (![X]:(wise(X)<=>(~strong(X)<~>tall(X))))&
(((~funny(mary)|calm(mary)))<=>((humble(lucy)|wise(lucy))))&
(![X]:(quiet(X)<=>(generous(X)|~quiet(X))))&
((?[X]:((~creative(X)|~curious(X))))<=>((~rich(fred)<~>brave(fred))))&
(![X]:(old(X)<=>(~generous(X)|kind(X))))&
((?[X]:((funny(X)<~>rich(X))))<=>(~humble(lucy)))&
((?[X]:... | ~quiet(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 243560171916805830793882
% SZS output start Proof for 243560171916805830793882
3. ! [X0] : (quiet(X0) <=> (~quiet(X0) | generous(X0))) [input p2]
25. ~quiet(lucy) [input hypothesis]
35. ! [X0] : ((quiet(X0) | (quiet(X0) & ~generous(X0))) & ((~quiet(X0) | generous(X0)) | ~quiet(X0))) [nnf ... | 0 |
If fred is not wise or not quiet then paul is both not kind and curious and vice versa.
Everyone who is tall or not curious is old.
Everyone who is wise or not wise is either brave or creative and vice versa.
If someone is not happy or brave then someone is both not rich and not happy and vice versa.
If susan is either... | John is brave. | contradiction | (((~wise(fred)|~quiet(fred)))<=>((~kind(paul)&curious(paul))))&
(![X]:((tall(X)|~curious(X))=>old(X)))&
(![X]:((wise(X)|~wise(X))<=>(brave(X)<~>creative(X))))&
((?[X]:((~happy(X)|brave(X))))<=>(?[X]:((~rich(X)&~happy(X)))))&
(((~quiet(susan)<~>creative(susan)))<=>(?[X]:((~patient(X)&brave(X)))))&
((~rich(paul))=>(?[X]:... | brave(john) | [
"p2",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2192546084309758965726961
% SZS output start Proof for 2192546084309758965726961
3. ! [X0] : ((~wise(X0) | wise(X0)) <=> (brave(X0) <~> creative(X0))) [input p2]
7. ! [X0] : ((curious(X0) | ~generous(X0)) => (~funny(X0) <~> generous(X0))) [input p6]
13. ! [X0] : ((~calm(X0) & calm(X0)) <=... | 0 |
Everyone who is not rich or not humble is tall and vice versa. Everyone who is kind or brave is both humble and not curious and vice versa. Everyone who is not tall or not funny is calm. If someone is either not curious or quiet then john is not tall or not patient and vice versa. Everyone who is rich is not kind and v... | John is not rich. | entailment | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(![X]:((kind(X)|brave(X))<=>(humble(X)&~curious(X))))&
(![X]:((~tall(X)|~funny(X))=>calm(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>((~tall(john)|~patient(john))))&
(![X]:(rich(X)<=>~kind(X)))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:(~funny(X)<=>... | ~rich(john) | [
"p2",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1362843258194529165469507
% SZS output start Proof for 1362843258194529165469507
3. ! [X0] : ((~funny(X0) | ~tall(X0)) => calm(X0)) [input p2]
9. ! [X0] : (funny(X0) => ~creative(X0)) [input p8]
14. ! [X0] : (rich(X0) => creative(X0)) [input p13]
15. ! [X0] : (calm(X0) => ~rich(X0)) [inpu... | 0 |
Everyone who is either patient or not strong is kind or not patient and vice versa.
Everyone who is quiet or patient is both curious and generous and vice versa.
Everyone who is not curious or not happy is happy.
Everyone who is both not funny and not humble is both humble and strong.
If john is both kind and brave the... | Alice is not old. | entailment | (![X]:((patient(X)<~>~strong(X))<=>(kind(X)|~patient(X))))&
(![X]:((quiet(X)|patient(X))<=>(curious(X)&generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((~wise(X)&old(X))=>(calm(X)&rich... | ~old(alice) | [
"p1",
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2775755570659801846173694
% SZS output start Proof for 2775755570659801846173694
2. ! [X0] : ((patient(X0) | quiet(X0)) <=> (generous(X0) & curious(X0))) [input p1]
8. ! [X0] : ((kind(X0) & strong(X0)) <=> old(X0)) [input p7]
9. ! [X0] : ((~funny(X0) | generous(X0)) <=> (~kind(X0) & creat... | 0 |
Everyone who is both rich and creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is both... | Susan is tall. | neutral | (![X]:((rich(X)&creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(strong... | tall(susan) | [] | null | 0 |
If alice is not funny or not generous then lucy is tall or brave and vice versa. If paul is not calm or patient then lucy is either happy or not generous. Everyone who is either not curious or funny is either not funny or calm and vice versa. If someone is patient then john is both brave and not calm. Everyone who is n... | Lucy is not quiet. | entailment | (((~funny(alice)|~generous(alice)))<=>((tall(lucy)|brave(lucy))))&
(((~calm(paul)|patient(paul)))=>((happy(lucy)<~>~generous(lucy))))&
(![X]:((~curious(X)<~>funny(X))<=>(~funny(X)<~>calm(X))))&
((?[X]:(patient(X)))=>((brave(john)&~calm(john))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>~old(X))))&
(![X]:((happy(X)|rich(X))<=>(g... | ~quiet(lucy) | [
"p4",
"p8",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2832134341991032172948116
% SZS output start Proof for 2832134341991032172948116
5. ! [X0] : (~quiet(X0) <=> (~happy(X0) <~> ~old(X0))) [input p4]
9. ! [X0] : ((~patient(X0) | patient(X0)) => (~happy(X0) <~> ~wise(X0))) [input p8]
14. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (quiet(X0) | ~c... | 0 |
Everyone who is not creative is curious or not creative.
Everyone who is generous is both not generous and patient and vice versa.
If someone is funny or kind then someone is brave and vice versa.
Everyone who is not patient or not creative is either not humble or creative.
Everyone who is not humble or not funny is ei... | Lucy is patient. | contradiction | (![X]:(~creative(X)=>(curious(X)|~creative(X))))&
(![X]:(generous(X)<=>(~generous(X)&patient(X))))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:(brave(X))))&
(![X]:((~patient(X)|~creative(X))=>(~humble(X)<~>creative(X))))&
(![X]:((~humble(X)|~funny(X))=>(brave(X)<~>~curious(X))))&
(![X]:((~strong(X)<~>creative(X))=>(strong(X)... | patient(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7669887567470211871881010
% SZS output start Proof for 7669887567470211871881010
2. ! [X0] : (generous(X0) <=> (patient(X0) & ~generous(X0))) [input p1]
22. patient(lucy) [input hypothesis]
39. ! [X0] : ((generous(X0) | (~patient(X0) | generous(X0))) & ((patient(X0) & ~generous(X0)) | ~ge... | 0 |
If fred is both not creative and humble then someone is funny and vice versa. Everyone who is either not funny or patient is both not kind and not generous. Everyone who is both not funny and creative is humble. Everyone who is not kind is not strong or happy and vice versa. If someone is either not funny or not genero... | Susan is funny. | entailment | (((~creative(fred)&humble(fred)))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~kind(X)&~generous(X))))&
(![X]:((~funny(X)&creative(X))=>humble(X)))&
(![X]:(~kind(X)<=>(~strong(X)|happy(X))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((rich(X)&patient(X)))))&
((happy(fred))=>(?[X]:((creative(X)&~rich(X))... | funny(susan) | [
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 327174047428747564361715
% SZS output start Proof for 327174047428747564361715
4. ! [X0] : (~kind(X0) <=> (happy(X0) | ~strong(X0))) [input p3]
7. ! [X0] : ((~strong(X0) <~> ~funny(X0)) => (kind(X0) & funny(X0))) [input p6]
10. ! [X0] : ((~kind(X0) <~> strong(X0)) => (~humble(X0) & kind(X... | 0 |
If someone is not funny then mary is either happy or not brave. If john is both rich and curious then susan is either not funny or not happy and vice versa. If paul is not wise or strong then someone is brave. Everyone who is both not strong and not funny is both strong and calm and vice versa. Everyone who is not old ... | Alice is curious. | contradiction | ((?[X]:(~funny(X)))=>((happy(mary)<~>~brave(mary))))&
(((rich(john)&curious(john)))<=>((~funny(susan)<~>~happy(susan))))&
(((~wise(paul)|strong(paul)))=>(?[X]:(brave(X))))&
(![X]:((~strong(X)&~funny(X))<=>(strong(X)&calm(X))))&
(![X]:((~old(X)|~happy(X))=>~wise(X)))&
((~rich(alice))=>(~patient(susan)))&
(((~old(lucy)|~... | curious(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3205638031828610416664014
% SZS output start Proof for 3205638031828610416664014
19. strong(alice) & ~curious(alice) [input p18]
24. curious(alice) [input hypothesis]
136. ~curious(alice) [cnf transformation 19]
145. curious(alice) [cnf transformation 24]
348. $false [subsumption resoluti... | 0 |
If someone is either happy or not creative then someone is either not quiet or not calm. Everyone who is either quiet or brave is funny or not tall and vice versa. If someone is happy then someone is either curious or not generous and vice versa. Everyone who is not old or tall is not kind or not rich and vice versa. I... | Paul is strong. | contradiction | ((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~quiet(X)<~>~calm(X)))))&
(![X]:((quiet(X)<~>brave(X))<=>(funny(X)|~tall(X))))&
((?[X]:(happy(X)))<=>(?[X]:((curious(X)<~>~generous(X)))))&
(![X]:((~old(X)|tall(X))<=>(~kind(X)|~rich(X))))&
((~creative(john))=>(?[X]:((rich(X)&~generous(X)))))&
((?[X]:(wise(X)))<=>((funny(joh... | strong(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2131420607623462483106282
% SZS output start Proof for 2131420607623462483106282
15. ? [X0] : strong(X0) => (funny(paul) & ~strong(paul)) [input p14]
25. strong(paul) [input hypothesis]
39. (funny(paul) & ~strong(paul)) | ! [X0] : ~strong(X0) [ennf transformation 15]
128. ~strong(paul) | ... | 0 |
If john is not rich then alice is not quiet.
Everyone who is not quiet is not generous.
Everyone who is not calm or not curious is both wise and not wise.
If mary is either not rich or curious then someone is either brave or happy.
Everyone who is either not brave or curious is both strong and kind.
Everyone who is not... | Alice is not kind. | neutral | ((~rich(john))=>(~quiet(alice)))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((~calm(X)|~curious(X))=>(wise(X)&~wise(X))))&
(((~rich(mary)<~>curious(mary)))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>curious(X))=>(strong(X)&kind(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
(((brave(john)&calm(john)))=>(?[X... | ~kind(alice) | [] | null | 0 |
If someone is creative then fred is both happy and not patient and vice versa.
Everyone who is wise is either not happy or not patient and vice versa.
Everyone who is not patient or strong is both tall and not curious and vice versa.
Everyone who is both kind and old is either curious or quiet and vice versa.
If fred i... | Alice is not curious. | contradiction | ((?[X]:(creative(X)))<=>((happy(fred)&~patient(fred))))&
(![X]:(wise(X)<=>(~happy(X)<~>~patient(X))))&
(![X]:((~patient(X)|strong(X))<=>(tall(X)&~curious(X))))&
(![X]:((kind(X)&old(X))<=>(curious(X)<~>quiet(X))))&
(((happy(fred)&funny(fred)))<=>(?[X]:((brave(X)<~>patient(X)))))&
(![X]:((kind(X)<~>curious(X))<=>(creativ... | ~curious(alice) | [
"p0",
"p2",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 484345549654722233891490
% SZS output start Proof for 484345549654722233891490
1. ? [X0] : creative(X0) <=> (~patient(fred) & happy(fred)) [input p0]
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~curious(X0) & tall(X0))) [input p2]
6. ! [X0] : ((kind(X0) <~> curious(X0)) <=> (patient(X0)... | 0 |
Everyone who is generous is not wise or tall and vice versa.
Everyone who is not funny is both wise and quiet and vice versa.
Everyone who is not tall or not funny is either not creative or old.
If lucy is not humble then someone is creative or strong.
If someone is both not rich and old then someone is tall.
Everyone ... | Alice is funny. | contradiction | (![X]:(generous(X)<=>(~wise(X)|tall(X))))&
(![X]:(~funny(X)<=>(wise(X)&quiet(X))))&
(![X]:((~tall(X)|~funny(X))=>(~creative(X)<~>old(X))))&
((~humble(lucy))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((~rich(X)&old(X))))=>(?[X]:(tall(X))))&
(![X]:(funny(X)=>(~curious(X)&old(X))))&
(((~funny(paul)|old(paul)))=>(?[X]:((~... | funny(alice) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1592641653357295906815369
% SZS output start Proof for 1592641653357295906815369
2. ! [X0] : (~funny(X0) <=> (quiet(X0) & wise(X0))) [input p1]
24. quiet(alice) & wise(alice) [input p23]
25. funny(alice) [input hypothesis]
44. ! [X0] : ((~funny(X0) | (~quiet(X0) | ~wise(X0))) & ((quiet(X0... | 0 |
If someone is not humble or not wise then susan is both kind and not creative.
Everyone who is not humble is strong or generous and vice versa.
Everyone who is strong is not patient and vice versa.
Everyone who is not funny is both not quiet and tall.
Everyone who is kind is both not generous and not happy.
Everyone wh... | Mary is quiet. | contradiction | ((?[X]:((~humble(X)|~wise(X))))=>((kind(susan)&~creative(susan))))&
(![X]:(~humble(X)<=>(strong(X)|generous(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:(~funny(X)=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))... | quiet(mary) | [
"p0",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2635503702260048218208078
% SZS output start Proof for 2635503702260048218208078
1. ? [X0] : (~wise(X0) | ~humble(X0)) => (~creative(susan) & kind(susan)) [input p0]
6. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (~kind(X0) & ~rich(X0))) [input p5]
11. ! [X0] : ((quiet(X0) <~> ~wise(X0)) => (~... | 0 |
If someone is tall then someone is either not funny or creative and vice versa.
Everyone who is both not humble and wise is either not curious or not old.
If someone is not happy then someone is not patient or not generous and vice versa.
Everyone who is both not calm and strong is not patient and vice versa.
If mary i... | Fred is tall. | contradiction | ((?[X]:(tall(X)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~humble(X)&wise(X))=>(~curious(X)<~>~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~calm(X)&strong(X))<=>~patient(X)))&
(((patient(mary)|~humble(mary)))=>((~generous(mary)&calm(mary))))&
(![X]:(generous(X)=>(calm(X)&~wise(... | tall(fred) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2079161901336236493195943
% SZS output start Proof for 2079161901336236493195943
1. ? [X0] : tall(X0) <=> ? [X0] : (~funny(X0) <~> creative(X0)) [input p0]
4. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (generous(X0) => (~wise(X0) & calm(X0))) [input p5]
8.... | 0 |
If susan is not kind then alice is both curious and not calm. Everyone who is both not generous and not strong is both wise and funny. If mary is not calm then fred is not strong and vice versa. If mary is not strong then mary is both not wise and funny and vice versa. Everyone who is both curious and wise is both not ... | Lucy is patient. | neutral | ((~kind(susan))=>((curious(alice)&~calm(alice))))&
(![X]:((~generous(X)&~strong(X))=>(wise(X)&funny(X))))&
((~calm(mary))<=>(~strong(fred)))&
((~strong(mary))<=>((~wise(mary)&funny(mary))))&
(![X]:((curious(X)&wise(X))=>(~strong(X)&kind(X))))&
((?[X]:((wise(X)&~tall(X))))<=>((~kind(fred)&humble(fred))))&
(![X]:((~curio... | patient(lucy) | [] | null | 0 |
If mary is rich then someone is quiet and vice versa.
If someone is either not kind or not old then someone is brave or not creative and vice versa.
If paul is not funny or patient then fred is both strong and not old.
Everyone who is not patient is not curious or brave and vice versa.
Everyone who is both not kind and... | Paul is rich. | entailment | ((rich(mary))<=>(?[X]:(quiet(X))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(((~funny(paul)|patient(paul)))=>((strong(fred)&~old(fred))))&
(![X]:(~patient(X)<=>(~curious(X)|brave(X))))&
(![X]:((~kind(X)&humble(X))=>(kind(X)<~>humble(X))))&
(![X]:((humble(X)|~old(X))<=>(~happy(X)&wise(X))))&
... | rich(paul) | [
"p5",
"p6",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4140724116982849794255942
% SZS output start Proof for 4140724116982849794255942
6. ! [X0] : ((~old(X0) | humble(X0)) <=> (wise(X0) & ~happy(X0))) [input p5]
7. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> ~old(X0)) [input p6]
10. ! [X0] : ((quiet(X0) & tall(X0)) <=> (kind(X0) | brave(X0))) [inp... | 0 |
If someone is either old or not patient then someone is wise or not calm.
Everyone who is both not funny and not rich is not funny.
If mary is both humble and not curious then fred is both not curious and patient and vice versa.
If someone is both not creative and wise then lucy is not patient.
If john is generous then... | Mary is curious. | neutral | ((?[X]:((old(X)<~>~patient(X))))=>(?[X]:((wise(X)|~calm(X)))))&
(![X]:((~funny(X)&~rich(X))=>~funny(X)))&
(((humble(mary)&~curious(mary)))<=>((~curious(fred)&patient(fred))))&
((?[X]:((~creative(X)&wise(X))))=>(~patient(lucy)))&
((generous(john))<=>((~creative(lucy)|~wise(lucy))))&
(((old(john)|funny(john)))<=>((creati... | curious(mary) | [] | null | 0 |
Everyone who is either not brave or brave is either patient or quiet.
Everyone who is both not humble and patient is happy or kind and vice versa.
If fred is not old or not creative then someone is both not calm and not patient and vice versa.
Everyone who is both not curious and not creative is quiet or curious.
If so... | Fred is tall. | entailment | (![X]:((~brave(X)<~>brave(X))=>(patient(X)<~>quiet(X))))&
(![X]:((~humble(X)&patient(X))<=>(happy(X)|kind(X))))&
(((~old(fred)|~creative(fred)))<=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~creative(X))=>(quiet(X)|curious(X))))&
((?[X]:((rich(X)<~>old(X))))<=>((humble(paul)<~>funny(paul))))&
(((funny(mary)|... | tall(fred) | [
"p1",
"p2",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8701823847035334660323947
% SZS output start Proof for 8701823847035334660323947
2. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (kind(X0) | happy(X0))) [input p1]
3. (~creative(fred) | ~old(fred)) <=> ? [X0] : (~patient(X0) & ~calm(X0)) [input p2]
7. ! [X0] : (patient(X0) <=> ~calm(X0)) [in... | 0 |
Everyone who is both curious and not patient is both rich and not wise.
Everyone who is either not funny or not quiet is creative or not wise.
If alice is both not happy and tall then susan is not creative or not wise and vice versa.
If paul is both not kind and not quiet then someone is both tall and calm.
Everyone wh... | Susan is not patient. | entailment | (![X]:((curious(X)&~patient(X))=>(rich(X)&~wise(X))))&
(![X]:((~funny(X)<~>~quiet(X))=>(creative(X)|~wise(X))))&
(((~happy(alice)&tall(alice)))<=>((~creative(susan)|~wise(susan))))&
(((~kind(paul)&~quiet(paul)))=>(?[X]:((tall(X)&calm(X)))))&
(![X]:((~kind(X)|~quiet(X))=>~humble(X)))&
(((tall(fred)&~rich(fred)))<=>(?[X]... | ~patient(susan) | [
"p2",
"p5",
"p7",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1470925166535456490127848
% SZS output start Proof for 1470925166535456490127848
3. (tall(alice) & ~happy(alice)) <=> (~wise(susan) | ~creative(susan)) [input p2]
6. (~rich(fred) & tall(fred)) <=> ? [X0] : (funny(X0) | calm(X0)) [input p5]
8. ! [X0] : ((quiet(X0) | tall(X0)) => (~strong(X... | 0 |
If someone is both not kind and not tall then susan is either not kind or wise and vice versa. Everyone who is both happy and not humble is both not creative and humble and vice versa. Everyone who is either not curious or not old is humble or patient. If susan is either humble or not kind then someone is not tall and ... | Susan is not funny. | entailment | ((?[X]:((~kind(X)&~tall(X))))<=>((~kind(susan)<~>wise(susan))))&
(![X]:((happy(X)&~humble(X))<=>(~creative(X)&humble(X))))&
(![X]:((~curious(X)<~>~old(X))=>(humble(X)|patient(X))))&
(((humble(susan)<~>~kind(susan)))<=>(?[X]:(~tall(X))))&
(![X]:((kind(X)<~>~rich(X))<=>old(X)))&
(![X]:(~funny(X)<=>(~tall(X)|old(X))))&
((... | ~funny(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p9",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3975245922794038150316918
% SZS output start Proof for 3975245922794038150316918
1. ? [X0] : (~tall(X0) & ~kind(X0)) <=> (~kind(susan) <~> wise(susan)) [input p0]
2. ! [X0] : ((~humble(X0) & happy(X0)) <=> (humble(X0) & ~creative(X0))) [input p1]
4. (humble(susan) <~> ~kind(susan)) <=> ? ... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | Susan is generous. | contradiction | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | generous(susan) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 726885340740365616629404
% SZS output start Proof for 726885340740365616629404
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
3. ! [X0] : ((rich(X0) | humble(X0)) => (~strong(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X0)... | 0 |
Everyone who is both humble and not tall is not curious.
Everyone who is either not quiet or funny is both brave and wise.
Everyone who is patient is both kind and not quiet.
If john is both curious and patient then alice is both not generous and strong and vice versa.
If someone is calm or funny then someone is both n... | Fred is not brave. | contradiction | (![X]:((humble(X)&~tall(X))=>~curious(X)))&
(![X]:((~quiet(X)<~>funny(X))=>(brave(X)&wise(X))))&
(![X]:(patient(X)=>(kind(X)&~quiet(X))))&
(((curious(john)&patient(john)))<=>((~generous(alice)&strong(alice))))&
((?[X]:((calm(X)|funny(X))))=>(?[X]:((~creative(X)&generous(X)))))&
(![X]:((patient(X)|~humble(X))<=>(strong(... | ~brave(fred) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1373231572251718842961152
% SZS output start Proof for 1373231572251718842961152
2. ! [X0] : ((~quiet(X0) <~> funny(X0)) => (wise(X0) & brave(X0))) [input p1]
3. ! [X0] : (patient(X0) => (~quiet(X0) & kind(X0))) [input p2]
5. ? [X0] : (funny(X0) | calm(X0)) => ? [X0] : (generous(X0) & ~cr... | 0 |
If fred is not old then paul is either calm or not tall. Everyone who is not creative or not old is either funny or not old and vice versa. Everyone who is both not curious and not funny is both creative and not quiet. If john is either not tall or rich then alice is not rich and vice versa. Everyone who is old is not ... | Fred is creative. | contradiction | ((~old(fred))=>((calm(paul)<~>~tall(paul))))&
(![X]:((~creative(X)|~old(X))<=>(funny(X)<~>~old(X))))&
(![X]:((~curious(X)&~funny(X))=>(creative(X)&~quiet(X))))&
(((~tall(john)<~>rich(john)))<=>(~rich(alice)))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((wise(X)|quiet(X))=>~rich(X)))&
(![X]:((kind(X)<~>generous(X))=>(tall(X)&cur... | creative(fred) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1002082547971486208495409
% SZS output start Proof for 1002082547971486208495409
2. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (funny(X0) <~> ~old(X0))) [input p1]
13. ! [X0] : ((~funny(X0) | kind(X0)) => (tall(X0) & funny(X0))) [input p12]
23. creative(fred) [input hypothesis]
37. ! [X0] :... | 0 |
Everyone who is both humble and funny is old.
Everyone who is either quiet or rich is happy and vice versa.
Everyone who is not happy or not wise is not strong or not quiet and vice versa.
Everyone who is both patient and creative is patient or happy and vice versa.
Everyone who is either wise or not wise is old.
Every... | Alice is strong. | neutral | (![X]:((humble(X)&funny(X))=>old(X)))&
(![X]:((quiet(X)<~>rich(X))<=>happy(X)))&
(![X]:((~happy(X)|~wise(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((patient(X)&creative(X))<=>(patient(X)|happy(X))))&
(![X]:((wise(X)<~>~wise(X))=>old(X)))&
(![X]:((~patient(X)&happy(X))<=>(~brave(X)|~old(X))))&
((?[X]:(brave(X)))=>(?[X]:(hap... | strong(alice) | [] | null | 0 |
If lucy is old or not generous then paul is either funny or not quiet.
Everyone who is not funny is patient or tall.
Everyone who is either not creative or not quiet is either rich or not brave and vice versa.
If someone is generous then someone is both not creative and old.
Everyone who is generous or not funny is eit... | Paul is rich. | contradiction | (((old(lucy)|~generous(lucy)))=>((funny(paul)<~>~quiet(paul))))&
(![X]:(~funny(X)=>(patient(X)|tall(X))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(rich(X)<~>~brave(X))))&
((?[X]:(generous(X)))=>(?[X]:((~creative(X)&old(X)))))&
(![X]:((generous(X)|~funny(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((happy(X)|brave(X))<=>(~creat... | rich(paul) | [
"p2",
"p5",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 638319978226947559337345
% SZS output start Proof for 638319978226947559337345
3. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) <=> (rich(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : ((brave(X0) | happy(X0)) <=> (~rich(X0) & ~creative(X0))) [input p5]
9. (quiet(alice) & brave(alice)) <=> ? [X0]... | 0 |
If alice is not curious or not creative then someone is either not brave or not strong. If susan is both humble and not humble then fred is both calm and old and vice versa. Everyone who is not old is both strong and brave. If mary is not brave then someone is either humble or not creative. Everyone who is either not b... | Alice is not kind. | neutral | (((~curious(alice)|~creative(alice)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(((humble(susan)&~humble(susan)))<=>((calm(fred)&old(fred))))&
(![X]:(~old(X)=>(strong(X)&brave(X))))&
((~brave(mary))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>calm(X))<... | ~kind(alice) | [] | null | 0 |
If someone is not quiet then someone is both not curious and tall and vice versa.
Everyone who is both brave and not kind is not creative and vice versa.
If alice is curious or not creative then someone is kind.
Everyone who is both curious and not humble is quiet and vice versa.
Everyone who is both wise and creative ... | Lucy is wise. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((brave(X)&~kind(X))<=>~creative(X)))&
(((curious(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&~humble(X))<=>quiet(X)))&
(![X]:((wise(X)&creative(X))=>~quiet(X)))&
(((~quiet(paul)&~humble(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(![X]:(... | wise(lucy) | [] | null | 0 |
If paul is both not rich and not calm then someone is not rich and vice versa.
Everyone who is not brave or not old is not curious or rich.
Everyone who is tall is both curious and tall and vice versa.
Everyone who is either curious or not rich is either not creative or wise and vice versa.
Everyone who is both funny a... | Lucy is wise. | entailment | (((~rich(paul)&~calm(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)|~old(X))=>(~curious(X)|rich(X))))&
(![X]:(tall(X)<=>(curious(X)&tall(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(~creative(X)<~>wise(X))))&
(![X]:((funny(X)&~patient(X))=>(~tall(X)<~>~rich(X))))&
(((~kind(john)<~>~brave(john)))=>((calm(lucy)<~>~creative(... | wise(lucy) | [
"p0",
"p2",
"p3",
"p8",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3658996867621466862343990
% SZS output start Proof for 3658996867621466862343990
1. (~calm(paul) & ~rich(paul)) <=> ? [X0] : ~rich(X0) [input p0]
3. ! [X0] : (tall(X0) <=> (tall(X0) & curious(X0))) [input p2]
4. ! [X0] : ((curious(X0) <~> ~rich(X0)) <=> (~creative(X0) <~> wise(X0))) [inpu... | 0 |
Everyone who is old is both not calm and old and vice versa. If someone is both funny and quiet then john is creative or not curious. If someone is both happy and not calm then someone is not quiet or patient. Everyone who is not quiet is tall or old and vice versa. Everyone who is calm or not tall is either not curiou... | Mary is not calm. | neutral | (![X]:(old(X)<=>(~calm(X)&old(X))))&
((?[X]:((funny(X)&quiet(X))))=>((creative(john)|~curious(john))))&
((?[X]:((happy(X)&~calm(X))))=>(?[X]:((~quiet(X)|patient(X)))))&
(![X]:(~quiet(X)<=>(tall(X)|old(X))))&
(![X]:((calm(X)|~tall(X))<=>(~curious(X)<~>kind(X))))&
((?[X]:((~rich(X)&humble(X))))=>(?[X]:(~calm(X))))&
(![X]... | ~calm(mary) | [] | null | 0 |
Everyone who is either brave or kind is either wise or not old and vice versa. Everyone who is either creative or quiet is curious or rich. Everyone who is both not old and not creative is humble. Everyone who is calm is either old or rich and vice versa. Everyone who is not quiet or old is either not funny or not curi... | Susan is not strong. | neutral | (![X]:((brave(X)<~>kind(X))<=>(wise(X)<~>~old(X))))&
(![X]:((creative(X)<~>quiet(X))=>(curious(X)|rich(X))))&
(![X]:((~old(X)&~creative(X))=>humble(X)))&
(![X]:(calm(X)<=>(old(X)<~>rich(X))))&
(![X]:((~quiet(X)|old(X))<=>(~funny(X)<~>~curious(X))))&
((~funny(mary))=>((calm(paul)&wise(paul))))&
(((patient(john)|tall(joh... | ~strong(susan) | [] | null | 0 |
If john is either not brave or curious then fred is quiet and vice versa. Everyone who is not brave or not calm is both humble and not happy. Everyone who is happy is not curious or not creative. Everyone who is either kind or not wise is both not old and strong. Everyone who is both not wise and curious is not strong ... | John is wise. | entailment | (((~brave(john)<~>curious(john)))<=>(quiet(fred)))&
(![X]:((~brave(X)|~calm(X))=>(humble(X)&~happy(X))))&
(![X]:(happy(X)=>(~curious(X)|~creative(X))))&
(![X]:((kind(X)<~>~wise(X))=>(~old(X)&strong(X))))&
(![X]:((~wise(X)&curious(X))<=>(~strong(X)|~wise(X))))&
(((tall(fred)<~>strong(fred)))=>(?[X]:((~funny(X)|happy(X))... | wise(john) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7011418669831150216659968
% SZS output start Proof for 7011418669831150216659968
5. ! [X0] : ((curious(X0) & ~wise(X0)) <=> (~wise(X0) | ~strong(X0))) [input p4]
23. ~funny(john) & ~curious(john) [input p22]
25. ~wise(john) [input hypothesis]
43. ! [X0] : (((curious(X0) & ~wise(X0)) | (wi... | 0 |
Everyone who is curious is either strong or happy and vice versa. Everyone who is old is calm or not wise and vice versa. Everyone who is happy or strong is not strong. Everyone who is both quiet and not brave is either tall or not brave and vice versa. If lucy is both old and not generous then paul is either calm or n... | Paul is old. | entailment | (![X]:(curious(X)<=>(strong(X)<~>happy(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(![X]:((happy(X)|strong(X))=>~strong(X)))&
(![X]:((quiet(X)&~brave(X))<=>(tall(X)<~>~brave(X))))&
(((old(lucy)&~generous(lucy)))=>((calm(paul)<~>~tall(paul))))&
(![X]:((creative(X)|wise(X))<=>(calm(X)<~>strong(X))))&
(![X]:((~wise(X)<~>... | old(paul) | [
"p1",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2188755909371483156938019
% SZS output start Proof for 2188755909371483156938019
2. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p1]
23. ~tall(paul) & ~wise(paul) [input p22]
24. ~old(paul) [input hypothesis]
39. ! [X0] : ((old(X0) | (wise(X0) & ~calm(X0))) & ((~wise(X0) | calm(X0... | 0 |
Everyone who is both wise and old is both rich and tall.
If someone is both not generous and quiet then someone is brave.
If someone is quiet then mary is calm.
If someone is both not old and curious then someone is happy and vice versa.
Everyone who is either not kind or calm is either happy or quiet and vice versa.
I... | Fred is not tall. | contradiction | (![X]:((wise(X)&old(X))=>(rich(X)&tall(X))))&
((?[X]:((~generous(X)&quiet(X))))=>(?[X]:(brave(X))))&
((?[X]:(quiet(X)))=>(calm(mary)))&
((?[X]:((~old(X)&curious(X))))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(happy(X)<~>quiet(X))))&
((~generous(paul))<=>((~quiet(john)|wise(john))))&
(((tall(fred)|happy(fred)... | ~tall(fred) | [
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5240196198654385854885496
% SZS output start Proof for 5240196198654385854885496
7. (happy(fred) | tall(fred)) <=> ? [X0] : brave(X0) [input p6]
11. ! [X0] : ((happy(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(X0))) [input p10]
19. ? [X0] : (~old(X0) & brave(X0)) [input p18]
24. ~tall(fred)... | 0 |
Everyone who is either curious or not brave is wise.
If someone is happy then someone is humble or not wise and vice versa.
If someone is old then someone is humble and vice versa.
Everyone who is rich or kind is both not kind and not rich.
Everyone who is both old and not kind is humble.
Everyone who is kind or not cr... | Susan is old. | entailment | (![X]:((curious(X)<~>~brave(X))=>wise(X)))&
((?[X]:(happy(X)))<=>(?[X]:((humble(X)|~wise(X)))))&
((?[X]:(old(X)))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)|kind(X))=>(~kind(X)&~rich(X))))&
(![X]:((old(X)&~kind(X))=>humble(X)))&
(![X]:((kind(X)|~creative(X))<=>(strong(X)<~>~strong(X))))&
(![X]:(~old(X)<=>happy(X)))&
(![X]:... | old(susan) | [
"p2",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6709742449870274663344138
% SZS output start Proof for 6709742449870274663344138
3. ? [X0] : old(X0) <=> ? [X0] : humble(X0) [input p2]
7. ! [X0] : (~old(X0) <=> happy(X0)) [input p6]
9. ? [X0] : humble(X0) => (old(susan) & ~generous(susan)) [input p8]
18. ~happy(paul) [input p17]
23. ~ol... | 0 |
Everyone who is not rich is either not quiet or not old and vice versa.
If someone is patient or happy then john is both not kind and not patient.
If alice is both not funny and not kind then paul is curious.
Everyone who is either not humble or humble is either calm or brave and vice versa.
If john is not calm then so... | John is not generous. | contradiction | (![X]:(~rich(X)<=>(~quiet(X)<~>~old(X))))&
((?[X]:((patient(X)|happy(X))))=>((~kind(john)&~patient(john))))&
(((~funny(alice)&~kind(alice)))=>(curious(paul)))&
(![X]:((~humble(X)<~>humble(X))<=>(calm(X)<~>brave(X))))&
((~calm(john))=>(?[X]:(generous(X))))&
(![X]:(~calm(X)<=>(~curious(X)&~wise(X))))&
(![X]:((~creative(X... | ~generous(john) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1468348404176901511278146
% SZS output start Proof for 1468348404176901511278146
1. ! [X0] : (~rich(X0) <=> (~quiet(X0) <~> ~old(X0))) [input p0]
2. ? [X0] : (happy(X0) | patient(X0)) => (~patient(john) & ~kind(john)) [input p1]
4. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (calm(X0) <~> ... | 0 |
Everyone who is not kind or not curious is either not curious or not rich.
If susan is old or funny then someone is not strong or not quiet and vice versa.
If someone is not calm or not brave then someone is either not creative or curious.
Everyone who is either generous or not kind is either curious or generous.
Every... | Susan is generous. | neutral | (![X]:((~kind(X)|~curious(X))=>(~curious(X)<~>~rich(X))))&
(((old(susan)|funny(susan)))<=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:((generous(X)<~>~kind(X))=>(curious(X)<~>generous(X))))&
(![X]:(~old(X)=>strong(X)))&
((?[X]:((kind(X)<~>calm(X))))<=>(... | generous(susan) | [] | null | 0 |
Everyone who is either not brave or brave is rich.
If mary is patient or strong then paul is wise or not strong.
Everyone who is both creative and not brave is both humble and not rich and vice versa.
If someone is tall then someone is calm.
If alice is happy then someone is either patient or not old.
Everyone who is n... | Alice is creative. | contradiction | (![X]:((~brave(X)<~>brave(X))=>rich(X)))&
(((patient(mary)|strong(mary)))=>((wise(paul)|~strong(paul))))&
(![X]:((creative(X)&~brave(X))<=>(humble(X)&~rich(X))))&
((?[X]:(tall(X)))=>(?[X]:(calm(X))))&
((happy(alice))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:(~tall(X)=>(~humble(X)&tall(X))))&
(![X]:((~happy(X)|brave(X))... | creative(alice) | [
"p0",
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7349460418510255417304525
% SZS output start Proof for 7349460418510255417304525
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => rich(X0)) [input p0]
3. ! [X0] : ((~brave(X0) & creative(X0)) <=> (~rich(X0) & humble(X0))) [input p2]
7. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~humble(X0)) [input ... | 0 |
Everyone who is kind or brave is both humble and not curious and vice versa.
Everyone who is not tall or not funny is calm.
If someone is either not curious or quiet then john is not tall or not patient and vice versa.
Everyone who is rich is not kind and vice versa.
If someone is both not funny and not quiet then some... | Alice is not curious. | entailment | (![X]:((kind(X)|brave(X))<=>(humble(X)&~curious(X))))&
(![X]:((~tall(X)|~funny(X))=>calm(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>((~tall(john)|~patient(john))))&
(![X]:(rich(X)<=>~kind(X)))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:(~funny(X)<=>happy(X)))&
((?[X]:(~brave(X)))<=>((~curio... | ~curious(alice) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3398896232855215544448486
% SZS output start Proof for 3398896232855215544448486
1. ! [X0] : ((brave(X0) | kind(X0)) <=> (~curious(X0) & humble(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | ~tall(X0)) => calm(X0)) [input p1]
4. ! [X0] : (rich(X0) <=> ~kind(X0)) [input p3]
6. ! [X0] : (~funn... | 0 |
If susan is not strong or not generous then john is both not happy and quiet. Everyone who is both not wise and not calm is both not happy and brave and vice versa. If lucy is kind or not calm then fred is rich or brave and vice versa. Everyone who is both brave and not rich is either quiet or kind. If someone is not r... | John is not happy. | entailment | (((~strong(susan)|~generous(susan)))=>((~happy(john)&quiet(john))))&
(![X]:((~wise(X)&~calm(X))<=>(~happy(X)&brave(X))))&
(((kind(lucy)|~calm(lucy)))<=>((rich(fred)|brave(fred))))&
(![X]:((brave(X)&~rich(X))=>(quiet(X)<~>kind(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:((~humble(X)&old(X))<=>(old... | ~happy(john) | [
"p0",
"p5",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6872151388797454703255928
% SZS output start Proof for 6872151388797454703255928
1. (~generous(susan) | ~strong(susan)) => (quiet(john) & ~happy(john)) [input p0]
6. ! [X0] : ((old(X0) & ~humble(X0)) <=> (kind(X0) | old(X0))) [input p5]
7. ! [X0] : ((generous(X0) | ~strong(X0)) <=> curiou... | 0 |
Everyone who is either quiet or not patient is not curious or generous and vice versa.
If someone is quiet or not rich then someone is both not curious and not patient and vice versa.
Everyone who is either not patient or not old is wise or not happy and vice versa.
Everyone who is calm or quiet is both not kind and ha... | Fred is funny. | neutral | (![X]:((quiet(X)<~>~patient(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)|quiet(X))=>(~kind(X)&happy(X))))&
((?[X]:((funny(X)&humble(X))))<=>(~funny(paul)))&
(![X]:((~calm(X)<~>funny(X))<=>k... | funny(fred) | [] | null | 0 |
If someone is either kind or not strong then mary is either tall or not kind. Everyone who is old is not happy or calm and vice versa. If fred is not calm or not curious then someone is both humble and not creative. If john is not strong then lucy is not old or not generous. Everyone who is happy is either not strong o... | Paul is curious. | contradiction | ((?[X]:((kind(X)<~>~strong(X))))=>((tall(mary)<~>~kind(mary))))&
(![X]:(old(X)<=>(~happy(X)|calm(X))))&
(((~calm(fred)|~curious(fred)))=>(?[X]:((humble(X)&~creative(X)))))&
((~strong(john))=>((~old(lucy)|~generous(lucy))))&
(![X]:(happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((curious(X)|~old(X))=>curious(X)))&
(![X]:(... | curious(paul) | [
"p4",
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1445174210848295494343356
% SZS output start Proof for 1445174210848295494343356
5. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~happy(X0)) => strong(X0)) [input p6]
11. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [input p10]
20. funny(... | 0 |
If someone is both funny and humble then john is not patient.
Everyone who is not creative or not generous is either not curious or not calm.
If someone is funny or not happy then someone is either not patient or not brave and vice versa.
Everyone who is not humble or not strong is old.
If someone is not curious then s... | Susan is old. | neutral | ((?[X]:((funny(X)&humble(X))))=>(~patient(john)))&
(![X]:((~creative(X)|~generous(X))=>(~curious(X)<~>~calm(X))))&
((?[X]:((funny(X)|~happy(X))))<=>(?[X]:((~patient(X)<~>~brave(X)))))&
(![X]:((~humble(X)|~strong(X))=>old(X)))&
((?[X]:(~curious(X)))=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((rich(X)&~funny(X))<=>(~kind(X... | old(susan) | [] | null | 0 |
Everyone who is not tall is either not old or generous and vice versa.
If someone is not calm then john is curious and vice versa.
If susan is not calm then someone is not old and vice versa.
Everyone who is both not curious and rich is not quiet.
If paul is funny or calm then mary is both not generous and tall and vic... | Paul is creative. | neutral | (![X]:(~tall(X)<=>(~old(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>(curious(john)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~generous(mary)&tall(mary))))&
((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:(~creative(X))))&
((kind(john))<=>((happy(alice... | creative(paul) | [] | null | 0 |
Everyone who is both creative and kind is curious or old.
If someone is either generous or not strong then susan is either creative or patient.
If paul is both not quiet and funny then fred is not wise and vice versa.
Everyone who is either old or not brave is not kind or not strong.
Everyone who is strong is not humbl... | Mary is not brave. | entailment | (![X]:((creative(X)&kind(X))=>(curious(X)|old(X))))&
((?[X]:((generous(X)<~>~strong(X))))=>((creative(susan)<~>patient(susan))))&
(((~quiet(paul)&funny(paul)))<=>(~wise(fred)))&
(![X]:((old(X)<~>~brave(X))=>(~kind(X)|~strong(X))))&
(![X]:(strong(X)<=>~humble(X)))&
(![X]:((wise(X)|calm(X))<=>(~rich(X)<~>~humble(X))))&
(... | ~brave(mary) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8049408125872096594822762
% SZS output start Proof for 8049408125872096594822762
5. ! [X0] : (strong(X0) <=> ~humble(X0)) [input p4]
9. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (strong(X0) & humble(X0))) [input p8]
23. brave(mary) [input hypothesis]
38. ! [X0] : ((strong(X0) | humble(X0)) &... | 0 |
Everyone who is either brave or not creative is not quiet or quiet.
Everyone who is not patient is both not kind and not patient.
Everyone who is not curious or creative is kind or strong and vice versa.
Everyone who is both not calm and not tall is both calm and not quiet and vice versa.
Everyone who is either happy o... | Fred is not brave. | contradiction | (![X]:((brave(X)<~>~creative(X))=>(~quiet(X)|quiet(X))))&
(![X]:(~patient(X)=>(~kind(X)&~patient(X))))&
(![X]:((~curious(X)|creative(X))<=>(kind(X)|strong(X))))&
(![X]:((~calm(X)&~tall(X))<=>(calm(X)&~quiet(X))))&
(![X]:((happy(X)<~>generous(X))<=>~calm(X)))&
(![X]:(tall(X)=>~strong(X)))&
((?[X]:((wise(X)<~>humble(X)))... | ~brave(fred) | [
"p3",
"p5",
"p10",
"p11",
"p13",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7953566928277153035629395
% SZS output start Proof for 7953566928277153035629395
4. ! [X0] : ((~tall(X0) & ~calm(X0)) <=> (~quiet(X0) & calm(X0))) [input p3]
6. ! [X0] : (tall(X0) => ~strong(X0)) [input p5]
11. ? [X0] : (quiet(X0) | brave(X0)) => (brave(fred) <~> rich(fred)) [input p10]
1... | 0 |
Everyone who is either not patient or patient is either not kind or not strong and vice versa.
If john is both happy and not creative then alice is not old or tall and vice versa.
If someone is either not generous or not quiet then alice is not funny or not tall.
Everyone who is not wise is both not calm and not funny ... | Alice is curious. | neutral | (![X]:((~patient(X)<~>patient(X))<=>(~kind(X)<~>~strong(X))))&
(((happy(john)&~creative(john)))<=>((~old(alice)|tall(alice))))&
((?[X]:((~generous(X)<~>~quiet(X))))=>((~funny(alice)|~tall(alice))))&
(![X]:(~wise(X)<=>(~calm(X)&~funny(X))))&
(![X]:((~kind(X)&strong(X))=>(~rich(X)<~>kind(X))))&
(![X]:((strong(X)<~>~brave... | curious(alice) | [] | null | 0 |
Everyone who is brave is either not wise or not kind and vice versa. Everyone who is either not wise or not curious is either not brave or funny and vice versa. If susan is either not generous or strong then someone is either patient or not funny and vice versa. If someone is not curious or brave then john is either no... | John is happy. | entailment | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~brave(X)<~>funny(X))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~happy(john)<~>~generous(john))))&
(((~old(john)|generous(john)))=>((patient(paul)|old(paul))))&
(![X]:(g... | happy(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6806527617252250671840130
% SZS output start Proof for 6806527617252250671840130
1. ! [X0] : (brave(X0) <=> (~wise(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> (~brave(X0) <~> funny(X0))) [input p1]
3. (~generous(susan) <~> strong(susan)) <=> ? [X0] : (pati... | 0 |
Everyone who is either not happy or not rich is either not kind or not patient and vice versa.
Everyone who is not creative or patient is kind.
If someone is creative or not happy then someone is not funny.
Everyone who is not generous is kind or tall and vice versa.
If someone is both calm and not patient then john is... | Mary is not strong. | contradiction | (![X]:((~happy(X)<~>~rich(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((~creative(X)|patient(X))=>kind(X)))&
((?[X]:((creative(X)|~happy(X))))=>(?[X]:(~funny(X))))&
(![X]:(~generous(X)<=>(kind(X)|tall(X))))&
((?[X]:((calm(X)&~patient(X))))=>((strong(john)<~>kind(john))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~calm(X)))... | ~strong(mary) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8943808920042301814161433
% SZS output start Proof for 8943808920042301814161433
10. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (~strong(X0) & humble(X0))) [input p9]
14. ! [X0] : ((~strong(X0) | brave(X0)) => ~humble(X0)) [input p13]
25. ~strong(mary) [input hypothesis]
28. ! [X0] : (~humbl... | 0 |
Everyone who is either humble or not quiet is curious and vice versa. If alice is either not happy or not tall then mary is both old and calm. If mary is wise then someone is not strong or not quiet. Everyone who is both brave and rich is either curious or generous and vice versa. Everyone who is either strong or wise ... | Alice is happy. | entailment | (![X]:((humble(X)<~>~quiet(X))<=>curious(X)))&
(((~happy(alice)<~>~tall(alice)))=>((old(mary)&calm(mary))))&
((wise(mary))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((brave(X)&rich(X))<=>(curious(X)<~>generous(X))))&
(![X]:((strong(X)<~>wise(X))<=>(wise(X)|creative(X))))&
(((generous(alice)|~funny(alice)))=>(~tall(mary)... | happy(alice) | [
"p4",
"p9",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8486377804995589145764946
% SZS output start Proof for 8486377804995589145764946
5. ! [X0] : ((strong(X0) <~> wise(X0)) <=> (creative(X0) | wise(X0))) [input p4]
10. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~curious(X0) | kind(X0))) [input p9]
16. ! [X0] : (kind(X0) <=> (~curious(X0) <~>... | 0 |
Everyone who is either generous or not tall is either funny or not curious and vice versa.
If susan is not tall then mary is either not tall or not calm.
Everyone who is quiet or old is both creative and funny and vice versa.
Everyone who is both old and not generous is both not strong and humble.
If someone is not kin... | John is old. | contradiction | (![X]:((generous(X)<~>~tall(X))<=>(funny(X)<~>~curious(X))))&
((~tall(susan))=>((~tall(mary)<~>~calm(mary))))&
(![X]:((quiet(X)|old(X))<=>(creative(X)&funny(X))))&
(![X]:((old(X)&~generous(X))=>(~strong(X)&humble(X))))&
((?[X]:(~kind(X)))<=>((~wise(lucy)|kind(lucy))))&
((?[X]:((creative(X)<~>curious(X))))<=>(?[X]:((cur... | old(john) | [
"p3",
"p12",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8220465566114372035793250
% SZS output start Proof for 8220465566114372035793250
4. ! [X0] : ((~generous(X0) & old(X0)) => (humble(X0) & ~strong(X0))) [input p3]
13. ! [X0] : ((~patient(X0) <~> ~generous(X0)) <=> (patient(X0) & wise(X0))) [input p12]
23. strong(john) [input p22]
24. ~pati... | 0 |
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