premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not calm or strong is both curious and kind and vice versa.
Everyone who is not calm or not old is tall or not generous and vice versa.
Everyone who is not rich is rich or not creative.
Everyone who is both not wise and funny is not quiet.
If someone is not quiet or brave then someone is not old and vic... | Alice is patient. | neutral | (![X]:((~calm(X)|strong(X))<=>(curious(X)&kind(X))))&
(![X]:((~calm(X)|~old(X))<=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)=>(rich(X)|~creative(X))))&
(![X]:((~wise(X)&funny(X))=>~quiet(X)))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(~old(X))))&
(((calm(paul)|~strong(paul)))=>((~creative(alice)<~>patient(alice))))&
(![X]... | patient(alice) | [] | null | 0 |
Everyone who is both humble and kind is either not generous or old and vice versa. If someone is strong then mary is either wise or patient and vice versa. If someone is funny then someone is either strong or patient. Everyone who is either calm or not patient is either wise or not funny and vice versa. Everyone who is... | Paul is not generous. | neutral | (![X]:((humble(X)&kind(X))<=>(~generous(X)<~>old(X))))&
((?[X]:(strong(X)))<=>((wise(mary)<~>patient(mary))))&
((?[X]:(funny(X)))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>~patient(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((~old(X)<~>quiet(X))=>strong(X)))&
(![X]:((brave(X)|~tall(X))<=>wise(X)))&
(![X]:(curiou... | ~generous(paul) | [] | null | 0 |
If someone is not humble then alice is either not kind or wise and vice versa.
Everyone who is both old and happy is quiet or wise.
If someone is not creative then someone is old and vice versa.
If alice is both kind and not strong then someone is both not strong and rich and vice versa.
If someone is not curious then ... | Alice is not brave. | entailment | ((?[X]:(~humble(X)))<=>((~kind(alice)<~>wise(alice))))&
(![X]:((old(X)&happy(X))=>(quiet(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(old(X))))&
(((kind(alice)&~strong(alice)))<=>(?[X]:((~strong(X)&rich(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((patient(X)|brave(X)))))&
(((happy(mary)&rich(mary)))<=>(?[X]:((~wise(X)&~gen... | ~brave(alice) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5689653369294032818373685
% SZS output start Proof for 5689653369294032818373685
11. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) | ~wise(X0))) [input p10]
15. ! [X0] : (~wise(X0) => (generous(X0) <~> wise(X0))) [input p14]
16. ! [X0] : ((~old(X0) <~> old(X0)) => ~generous(X0)) [input ... | 0 |
If fred is strong or not generous then lucy is quiet.
Everyone who is not strong is either strong or humble and vice versa.
If someone is either not rich or tall then someone is both brave and generous and vice versa.
Everyone who is both humble and not wise is quiet or not wise and vice versa.
If lucy is not quiet or ... | Alice is calm. | entailment | (((strong(fred)|~generous(fred)))=>(quiet(lucy)))&
(![X]:(~strong(X)<=>(strong(X)<~>humble(X))))&
((?[X]:((~rich(X)<~>tall(X))))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((humble(X)&~wise(X))<=>(quiet(X)|~wise(X))))&
(((~quiet(lucy)|tall(lucy)))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:(curious(X)<=>(wise(X)|~tall(... | calm(alice) | [
"p1",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4917893235294186053527222
% SZS output start Proof for 4917893235294186053527222
2. ! [X0] : (~strong(X0) <=> (strong(X0) <~> humble(X0))) [input p1]
13. ? [X0] : (~curious(X0) | ~creative(X0)) <=> (~tall(alice) & calm(alice)) [input p12]
24. humble(alice) <~> creative(alice) [input p23]
... | 0 |
Everyone who is both humble and not funny is rich.
If john is brave then lucy is either curious or funny.
If mary is both not creative and wise then john is creative or not funny and vice versa.
If someone is either not strong or not kind then someone is not creative.
Everyone who is patient or brave is both not kind a... | Fred is not humble. | contradiction | (![X]:((humble(X)&~funny(X))=>rich(X)))&
((brave(john))=>((curious(lucy)<~>funny(lucy))))&
(((~creative(mary)&wise(mary)))<=>((creative(john)|~funny(john))))&
((?[X]:((~strong(X)<~>~kind(X))))=>(?[X]:(~creative(X))))&
(![X]:((patient(X)|brave(X))<=>(~kind(X)&kind(X))))&
(![X]:((calm(X)|~funny(X))=>funny(X)))&
((?[X]:(q... | ~humble(fred) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2672466166938709972697613
% SZS output start Proof for 2672466166938709972697613
5. ! [X0] : ((brave(X0) | patient(X0)) <=> (kind(X0) & ~kind(X0))) [input p4]
11. ? [X0] : (~wise(X0) & brave(X0)) <=> ? [X0] : ~humble(X0) [input p10]
25. ~humble(fred) [input hypothesis]
28. ? [X0] : (~wise... | 0 |
Everyone who is either not kind or wise is either kind or humble. If lucy is either not curious or humble then alice is kind or not tall. If susan is both not patient and not humble then paul is either rich or not happy and vice versa. Everyone who is not strong is patient and vice versa. If susan is either tall or wis... | Fred is wise. | entailment | (![X]:((~kind(X)<~>wise(X))=>(kind(X)<~>humble(X))))&
(((~curious(lucy)<~>humble(lucy)))=>((kind(alice)|~tall(alice))))&
(((~patient(susan)&~humble(susan)))<=>((rich(paul)<~>~happy(paul))))&
(![X]:(~strong(X)<=>patient(X)))&
(((tall(susan)<~>wise(susan)))=>((humble(lucy)|~kind(lucy))))&
(![X]:((patient(X)|funny(X))=>(~... | wise(fred) | [
"p5",
"p6",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2092587972322451801989371
% SZS output start Proof for 2092587972322451801989371
6. ! [X0] : ((funny(X0) | patient(X0)) => (~tall(X0) & ~humble(X0))) [input p5]
7. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (generous(X0) & ~patient(X0))) [input p6]
9. ! [X0] : ((~brave(X0) & old(X0)) <=> (happ... | 0 |
Everyone who is both not humble and not curious is strong or not wise.
Everyone who is either happy or not humble is not funny and vice versa.
If someone is not funny or humble then alice is quiet.
If mary is not funny then mary is not humble.
Everyone who is not calm is strong or wise.
If john is both not wise and wis... | Paul is not brave. | contradiction | (![X]:((~humble(X)&~curious(X))=>(strong(X)|~wise(X))))&
(![X]:((happy(X)<~>~humble(X))<=>~funny(X)))&
((?[X]:((~funny(X)|humble(X))))=>(quiet(alice)))&
((~funny(mary))=>(~humble(mary)))&
(![X]:(~calm(X)=>(strong(X)|wise(X))))&
(((~wise(john)&wise(john)))=>(~happy(alice)))&
(![X]:((~rich(X)<~>calm(X))=>quiet(X)))&
(![X... | ~brave(paul) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7541596052618433407311948
% SZS output start Proof for 7541596052618433407311948
8. ! [X0] : (strong(X0) <=> (~curious(X0) | ~brave(X0))) [input p7]
13. ? [X0] : ~brave(X0) <=> (~strong(paul) & curious(paul)) [input p12]
22. ~brave(paul) [input hypothesis]
36. ! [X0] : ((strong(X0) | (cur... | 0 |
If paul is not tall or old then susan is both curious and brave.
Everyone who is not happy is both happy and not tall.
If someone is not tall then someone is either not curious or not creative and vice versa.
If fred is not calm or brave then someone is both patient and not strong and vice versa.
If someone is not quie... | Susan is humble. | neutral | (((~tall(paul)|old(paul)))=>((curious(susan)&brave(susan))))&
(![X]:(~happy(X)=>(happy(X)&~tall(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~curious(X)<~>~creative(X)))))&
(((~calm(fred)|brave(fred)))<=>(?[X]:((patient(X)&~strong(X)))))&
((?[X]:((~quiet(X)|old(X))))<=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((wise(X)|quiet(X))... | humble(susan) | [] | null | 0 |
Everyone who is not old or generous is patient. Everyone who is both wise and generous is either not quiet or not generous and vice versa. If paul is not old or not curious then fred is not kind or wise. Everyone who is not quiet or not kind is both creative and not old and vice versa. If someone is either not curious ... | Fred is happy. | entailment | (![X]:((~old(X)|generous(X))=>patient(X)))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)<~>~generous(X))))&
(((~old(paul)|~curious(paul)))=>((~kind(fred)|wise(fred))))&
(![X]:((~quiet(X)|~kind(X))<=>(creative(X)&~old(X))))&
((?[X]:((~curious(X)<~>~brave(X))))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((generous(X)&curious(X))... | happy(fred) | [
"p1",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 42121479550589196306404
% SZS output start Proof for 42121479550589196306404
2. ! [X0] : ((generous(X0) & wise(X0)) <=> (~quiet(X0) <~> ~generous(X0))) [input p1]
6. ! [X0] : ((curious(X0) & generous(X0)) <=> (~quiet(X0) | humble(X0))) [input p5]
9. ! [X0] : ((~funny(X0) & ~generous(X0)) ... | 0 |
If alice is either not strong or wise then someone is not patient and vice versa.
Everyone who is old is either kind or happy and vice versa.
Everyone who is strong or not quiet is either curious or wise.
Everyone who is both humble and curious is not calm.
Everyone who is not strong is both quiet and humble and vice v... | Paul is not strong. | contradiction | (((~strong(alice)<~>wise(alice)))<=>(?[X]:(~patient(X))))&
(![X]:(old(X)<=>(kind(X)<~>happy(X))))&
(![X]:((strong(X)|~quiet(X))=>(curious(X)<~>wise(X))))&
(![X]:((humble(X)&curious(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(quiet(X)&humble(X))))&
(![X]:(happy(X)=>(~creative(X)|~tall(X))))&
(![X]:(~happy(X)<=>(calm(X)|creati... | ~strong(paul) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8372317723506864361142528
% SZS output start Proof for 8372317723506864361142528
12. ! [X0] : ((old(X0) & ~humble(X0)) <=> (~old(X0) | ~humble(X0))) [input p11]
14. ! [X0] : ((old(X0) | creative(X0)) => strong(X0)) [input p13]
24. ~strong(paul) [input hypothesis]
33. ! [X0] : (strong(X0) ... | 0 |
Everyone who is both rich and not kind is not kind. If someone is curious or not strong then paul is both not kind and not rich. Everyone who is both not tall and strong is either patient or humble and vice versa. Everyone who is generous or quiet is not quiet and vice versa. Everyone who is not old is both happy and n... | Mary is not humble. | contradiction | (![X]:((rich(X)&~kind(X))=>~kind(X)))&
((?[X]:((curious(X)|~strong(X))))=>((~kind(paul)&~rich(paul))))&
(![X]:((~tall(X)&strong(X))<=>(patient(X)<~>humble(X))))&
(![X]:((generous(X)|quiet(X))<=>~quiet(X)))&
(![X]:(~old(X)=>(happy(X)&~humble(X))))&
(((~generous(susan)|~patient(susan)))<=>((~tall(lucy)|~curious(lucy))))&... | ~humble(mary) | [
"p2",
"p3",
"p6",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 666512780888387466731774
% SZS output start Proof for 666512780888387466731774
3. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (patient(X0) <~> humble(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | generous(X0)) <=> ~quiet(X0)) [input p3]
7. ! [X0] : (~patient(X0) <=> (~curious(X0) <~> tall(X0))) [... | 0 |
Everyone who is tall is both old and not wise and vice versa. Everyone who is not old or brave is both calm and not funny and vice versa. Everyone who is not calm is either not strong or not happy and vice versa. If alice is not quiet then susan is not wise. If john is not kind then someone is patient and vice versa. E... | Lucy is not brave. | entailment | (![X]:(tall(X)<=>(old(X)&~wise(X))))&
(![X]:((~old(X)|brave(X))<=>(calm(X)&~funny(X))))&
(![X]:(~calm(X)<=>(~strong(X)<~>~happy(X))))&
((~quiet(alice))=>(~wise(susan)))&
((~kind(john))<=>(?[X]:(patient(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(quiet(X)<~>~old(X))))&
(![X]:((~quiet(X)&strong(X))=>(funny(X)&~patient(X))))&
... | ~brave(lucy) | [
"p1",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 405497305715478810964971
% SZS output start Proof for 405497305715478810964971
2. ! [X0] : ((brave(X0) | ~old(X0)) <=> (~funny(X0) & calm(X0))) [input p1]
7. ! [X0] : ((strong(X0) & ~quiet(X0)) => (~patient(X0) & funny(X0))) [input p6]
9. ! [X0] : ((~strong(X0) | wise(X0)) => (wise(X0) & ... | 0 |
Everyone who is not wise or patient is happy and vice versa.
Everyone who is not old or not quiet is both old and not humble and vice versa.
Everyone who is either not quiet or wise is both curious and generous.
Everyone who is kind or happy is not rich or curious and vice versa.
Everyone who is not patient or funny is... | Mary is quiet. | entailment | (![X]:((~wise(X)|patient(X))<=>happy(X)))&
(![X]:((~old(X)|~quiet(X))<=>(old(X)&~humble(X))))&
(![X]:((~quiet(X)<~>wise(X))=>(curious(X)&generous(X))))&
(![X]:((kind(X)|happy(X))<=>(~rich(X)|curious(X))))&
(![X]:((~patient(X)|funny(X))<=>(rich(X)|strong(X))))&
(![X]:((funny(X)<~>wise(X))=>(~old(X)&quiet(X))))&
(![X]:((... | quiet(mary) | [
"p1",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1880016572728196111540702
% SZS output start Proof for 1880016572728196111540702
2. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> (~humble(X0) & old(X0))) [input p1]
7. ! [X0] : ((~strong(X0) & old(X0)) => (~funny(X0) & ~calm(X0))) [input p6]
8. ! [X0] : (rich(X0) => (creative(X0) & funny(X0))) [... | 0 |
Everyone who is old is not funny and vice versa. If mary is either wise or old then someone is wise. Everyone who is not creative or tall is not humble or not happy. If someone is both not funny and not creative then fred is not calm or happy and vice versa. If someone is both creative and not humble then paul is not q... | Lucy is happy. | entailment | (![X]:(old(X)<=>~funny(X)))&
(((wise(mary)<~>old(mary)))=>(?[X]:(wise(X))))&
(![X]:((~creative(X)|tall(X))=>(~humble(X)|~happy(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>((~calm(fred)|happy(fred))))&
((?[X]:((creative(X)&~humble(X))))<=>((~quiet(paul)|~humble(paul))))&
((quiet(alice))<=>(?[X]:(humble(X))))&
(![X]:((~p... | happy(lucy) | [
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2971427800338713566865671
% SZS output start Proof for 2971427800338713566865671
11. patient(paul) <=> ? [X0] : (~patient(X0) & funny(X0)) [input p10]
14. happy(lucy) <=> ? [X0] : (patient(X0) | ~kind(X0)) [input p13]
22. ~generous(john) & funny(john) [input p21]
25. ~happy(lucy) [input h... | 0 |
If someone is not curious or not strong then lucy is not old and vice versa.
Everyone who is both not patient and not humble is patient and vice versa.
Everyone who is generous is either not patient or humble.
Everyone who is both not happy and not old is tall and vice versa.
Everyone who is either creative or rich is ... | Paul is strong. | neutral | ((?[X]:((~curious(X)|~strong(X))))<=>(~old(lucy)))&
(![X]:((~patient(X)&~humble(X))<=>patient(X)))&
(![X]:(generous(X)=>(~patient(X)<~>humble(X))))&
(![X]:((~happy(X)&~old(X))<=>tall(X)))&
(![X]:((creative(X)<~>rich(X))<=>(generous(X)|~rich(X))))&
((?[X]:((~humble(X)|~wise(X))))=>(?[X]:(quiet(X))))&
((?[X]:((wise(X)<~>... | strong(paul) | [] | null | 0 |
Everyone who is either not funny or quiet is not strong or not tall.
If someone is happy then someone is wise and vice versa.
If fred is rich or brave then someone is either kind or not calm and vice versa.
Everyone who is not funny or creative is both not quiet and kind.
Everyone who is either curious or happy is eith... | Mary is rich. | entailment | (![X]:((~funny(X)<~>quiet(X))=>(~strong(X)|~tall(X))))&
((?[X]:(happy(X)))<=>(?[X]:(wise(X))))&
(((rich(fred)|brave(fred)))<=>(?[X]:((kind(X)<~>~calm(X)))))&
(![X]:((~funny(X)|creative(X))=>(~quiet(X)&kind(X))))&
(![X]:((curious(X)<~>happy(X))=>(~humble(X)<~>creative(X))))&
(((funny(mary)|quiet(mary)))<=>(?[X]:((~kind(... | rich(mary) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5464152340404310779554974
% SZS output start Proof for 5464152340404310779554974
4. ! [X0] : ((creative(X0) | ~funny(X0)) => (kind(X0) & ~quiet(X0))) [input p3]
6. (quiet(mary) | funny(mary)) <=> ? [X0] : (old(X0) & ~kind(X0)) [input p5]
7. ? [X0] : tall(X0) <=> (~patient(alice) & brave(a... | 0 |
Everyone who is humble or not creative is either not calm or tall.
If paul is both funny and calm then someone is funny and vice versa.
Everyone who is either curious or old is both not kind and brave and vice versa.
If mary is either funny or strong then someone is both humble and not wise.
If someone is not rich then... | Lucy is rich. | neutral | (![X]:((humble(X)|~creative(X))=>(~calm(X)<~>tall(X))))&
(((funny(paul)&calm(paul)))<=>(?[X]:(funny(X))))&
(![X]:((curious(X)<~>old(X))<=>(~kind(X)&brave(X))))&
(((funny(mary)<~>strong(mary)))=>(?[X]:((humble(X)&~wise(X)))))&
((?[X]:(~rich(X)))<=>((~creative(fred)<~>tall(fred))))&
((?[X]:((quiet(X)<~>~quiet(X))))=>(?[X... | rich(lucy) | [] | null | 0 |
If someone is either not brave or calm then someone is funny or strong and vice versa.
Everyone who is not kind is not happy and vice versa.
Everyone who is either not wise or not old is happy or kind.
Everyone who is creative is both not creative and not happy.
Everyone who is humble or not wise is not curious or stro... | Mary is humble. | neutral | ((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X))))&
(![X]:(creative(X)=>(~creative(X)&~happy(X))))&
(![X]:((humble(X)|~wise(X))<=>(~curious(X)|strong(X))))&
(![X]:((~kind(X)|~tall(X))<=>(~creative(X)<~>~happy(X))))&
(![X]:(~... | humble(mary) | [] | null | 0 |
Everyone who is either generous or calm is either tall or not happy and vice versa. If lucy is either not wise or not generous then someone is tall or patient and vice versa. Everyone who is not funny is both humble and curious and vice versa. Everyone who is happy or generous is both patient and not tall. If lucy is b... | Susan is not wise. | neutral | (![X]:((generous(X)<~>calm(X))<=>(tall(X)<~>~happy(X))))&
(((~wise(lucy)<~>~generous(lucy)))<=>(?[X]:((tall(X)|patient(X)))))&
(![X]:(~funny(X)<=>(humble(X)&curious(X))))&
(![X]:((happy(X)|generous(X))=>(patient(X)&~tall(X))))&
(((~generous(lucy)&~tall(lucy)))<=>((old(lucy)<~>~funny(lucy))))&
(![X]:((~curious(X)&genero... | ~wise(susan) | [] | null | 0 |
If someone is both not humble and creative then someone is either curious or creative.
Everyone who is creative is rich or not old and vice versa.
If someone is not brave or not patient then fred is old and vice versa.
If lucy is not creative then fred is not wise and vice versa.
Everyone who is brave or not tall is ca... | John is not rich. | contradiction | ((?[X]:((~humble(X)&creative(X))))=>(?[X]:((curious(X)<~>creative(X)))))&
(![X]:(creative(X)<=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curious(X))))&
(![X]:(~crea... | ~rich(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6001852685790160609594055
% SZS output start Proof for 6001852685790160609594055
15. ! [X0] : ((strong(X0) & rich(X0)) <=> (~tall(X0) | tall(X0))) [input p14]
23. ~rich(john) [input hypothesis]
58. ! [X0] : (((strong(X0) & rich(X0)) | (tall(X0) & ~tall(X0))) & ((~tall(X0) | tall(X0)) | (~... | 0 |
Everyone who is happy is not patient. If someone is brave or old then someone is strong or not curious and vice versa. If john is not funny then susan is not funny or quiet and vice versa. Everyone who is either funny or quiet is both not happy and not wise. If john is either quiet or not strong then someone is both ki... | John is not creative. | neutral | (![X]:(happy(X)=>~patient(X)))&
((?[X]:((brave(X)|old(X))))<=>(?[X]:((strong(X)|~curious(X)))))&
((~funny(john))<=>((~funny(susan)|quiet(susan))))&
(![X]:((funny(X)<~>quiet(X))=>(~happy(X)&~wise(X))))&
(((quiet(john)<~>~strong(john)))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((humble(X)<~>rich(X))=>(wise(X)|quiet(X))))&
((... | ~creative(john) | [] | null | 0 |
If mary is either not patient or not curious then someone is brave or not patient and vice versa. If mary is tall then someone is either not funny or brave. Everyone who is not patient or not strong is rich. If someone is either not generous or not curious then susan is either not calm or calm. If someone is both humbl... | Lucy is not generous. | entailment | (((~patient(mary)<~>~curious(mary)))<=>(?[X]:((brave(X)|~patient(X)))))&
((tall(mary))=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:((~patient(X)|~strong(X))=>rich(X)))&
((?[X]:((~generous(X)<~>~curious(X))))=>((~calm(susan)<~>calm(susan))))&
((?[X]:((humble(X)&~old(X))))<=>((~generous(mary)<~>~happy(mary))))&
(![X]:((~str... | ~generous(lucy) | [
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2092109874848937533965882
% SZS output start Proof for 2092109874848937533965882
11. ! [X0] : ((kind(X0) | strong(X0)) <=> (~generous(X0) | ~kind(X0))) [input p10]
13. ! [X0] : ((wise(X0) & ~curious(X0)) <=> (~funny(X0) | ~wise(X0))) [input p12]
14. ? [X0] : (~kind(X0) | quiet(X0)) <=> (~... | 0 |
If mary is strong or not brave then mary is both not rich and quiet.
If someone is both tall and not generous then someone is either not strong or creative.
Everyone who is either not happy or calm is not creative.
If alice is both not happy and not funny then lucy is not strong or quiet and vice versa.
Everyone who is... | Susan is funny. | entailment | (((strong(mary)|~brave(mary)))=>((~rich(mary)&quiet(mary))))&
((?[X]:((tall(X)&~generous(X))))=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((~happy(X)<~>calm(X))=>~creative(X)))&
(((~happy(alice)&~funny(alice)))<=>((~strong(lucy)|quiet(lucy))))&
(![X]:((~curious(X)|quiet(X))=>calm(X)))&
(![X]:((brave(X)&generous(X))=>... | funny(susan) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4406895567684029632294981
% SZS output start Proof for 4406895567684029632294981
13. ! [X0] : ((rich(X0) & patient(X0)) <=> ~funny(X0)) [input p12]
20. ~rich(susan) | funny(susan) [input p19]
25. ~funny(susan) [input hypothesis]
52. ! [X0] : (((rich(X0) & patient(X0)) | funny(X0)) & (~fun... | 0 |
If mary is either not curious or brave then susan is calm or not rich.
Everyone who is not funny or tall is curious and vice versa.
If someone is quiet or old then alice is both not brave and funny and vice versa.
If mary is either not rich or not kind then paul is tall or not kind and vice versa.
If alice is kind then... | Mary is wise. | neutral | (((~curious(mary)<~>brave(mary)))=>((calm(susan)|~rich(susan))))&
(![X]:((~funny(X)|tall(X))<=>curious(X)))&
((?[X]:((quiet(X)|old(X))))<=>((~brave(alice)&funny(alice))))&
(((~rich(mary)<~>~kind(mary)))<=>((tall(paul)|~kind(paul))))&
((kind(alice))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((happy(X)|~curious(X))))=... | wise(mary) | [] | null | 0 |
Everyone who is curious is either patient or quiet and vice versa.
If paul is either curious or wise then someone is not curious and vice versa.
If paul is both not creative and tall then someone is tall and vice versa.
If someone is either not patient or happy then someone is both happy and not funny and vice versa.
E... | Paul is wise. | entailment | (![X]:(curious(X)<=>(patient(X)<~>quiet(X))))&
(((curious(paul)<~>wise(paul)))<=>(?[X]:(~curious(X))))&
(((~creative(paul)&tall(paul)))<=>(?[X]:(tall(X))))&
((?[X]:((~patient(X)<~>happy(X))))<=>(?[X]:((happy(X)&~funny(X)))))&
(![X]:((~funny(X)&~happy(X))=>~brave(X)))&
((?[X]:((tall(X)<~>~funny(X))))<=>(?[X]:(~funny(X))... | wise(paul) | [
"p1",
"p2",
"p4",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1324707265781614026741976
% SZS output start Proof for 1324707265781614026741976
2. (curious(paul) <~> wise(paul)) <=> ? [X0] : ~curious(X0) [input p1]
3. (tall(paul) & ~creative(paul)) <=> ? [X0] : tall(X0) [input p2]
5. ! [X0] : ((~happy(X0) & ~funny(X0)) => ~brave(X0)) [input p4]
7. (~... | 0 |
If someone is not tall then someone is funny.
Everyone who is not calm is both rich and old.
Everyone who is not old is not happy.
Everyone who is strong or not curious is old.
If someone is both wise and not generous then lucy is not patient or not quiet and vice versa.
Everyone who is not calm or not humble is both n... | Lucy is not old. | contradiction | ((?[X]:(~tall(X)))=>(?[X]:(funny(X))))&
(![X]:(~calm(X)=>(rich(X)&old(X))))&
(![X]:(~old(X)=>~happy(X)))&
(![X]:((strong(X)|~curious(X))=>old(X)))&
((?[X]:((wise(X)&~generous(X))))<=>((~patient(lucy)|~quiet(lucy))))&
(![X]:((~calm(X)|~humble(X))=>(~kind(X)&tall(X))))&
(![X]:((humble(X)|~generous(X))=>(~rich(X)|~tall(X)... | ~old(lucy) | [
"p2",
"p3",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7624858791130894822175298
% SZS output start Proof for 7624858791130894822175298
3. ! [X0] : (~old(X0) => ~happy(X0)) [input p2]
4. ! [X0] : ((~curious(X0) | strong(X0)) => old(X0)) [input p3]
14. (~brave(lucy) & happy(lucy)) <=> ? [X0] : (~calm(X0) | ~rich(X0)) [input p13]
16. ! [X0] : (... | 0 |
If someone is quiet or old then susan is not happy. If paul is either not old or not calm then someone is both humble and wise. Everyone who is rich or creative is both happy and not strong and vice versa. If fred is both funny and not tall then someone is either brave or kind and vice versa. Everyone who is both calm ... | Paul is wise. | contradiction | ((?[X]:((quiet(X)|old(X))))=>(~happy(susan)))&
(((~old(paul)<~>~calm(paul)))=>(?[X]:((humble(X)&wise(X)))))&
(![X]:((rich(X)|creative(X))<=>(happy(X)&~strong(X))))&
(((funny(fred)&~tall(fred)))<=>(?[X]:((brave(X)<~>kind(X)))))&
(![X]:((calm(X)&~happy(X))<=>~happy(X)))&
(((~old(susan)<~>old(susan)))<=>((~funny(alice)|st... | wise(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5797361089914970858603218
% SZS output start Proof for 5797361089914970858603218
9. ! [X0] : ((wise(X0) | generous(X0)) <=> (~wise(X0) & ~quiet(X0))) [input p8]
21. wise(paul) [input hypothesis]
47. ! [X0] : (((wise(X0) | generous(X0)) | (wise(X0) | quiet(X0))) & ((~wise(X0) & ~quiet(X0))... | 0 |
If lucy is either not patient or not kind then alice is both tall and strong and vice versa.
Everyone who is either wise or not wise is curious or strong and vice versa.
Everyone who is not generous is either rich or not tall and vice versa.
Everyone who is both not happy and not tall is both creative and brave and vic... | Lucy is rich. | neutral | (((~patient(lucy)<~>~kind(lucy)))<=>((tall(alice)&strong(alice))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(X)&~tall(X))<=>(creative(X)&brave(X))))&
(![X]:((brave(X)&wise(X))<=>(quiet(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X))<=>~calm(X)))&... | rich(lucy) | [] | null | 0 |
Everyone who is not happy is either not tall or calm and vice versa. Everyone who is rich is not quiet or funny and vice versa. Everyone who is patient is wise or patient and vice versa. If someone is both quiet and not generous then fred is not funny or not quiet. If susan is either generous or not brave then someone ... | Susan is not tall. | entailment | (![X]:(~happy(X)<=>(~tall(X)<~>calm(X))))&
(![X]:(rich(X)<=>(~quiet(X)|funny(X))))&
(![X]:(patient(X)<=>(wise(X)|patient(X))))&
((?[X]:((quiet(X)&~generous(X))))=>((~funny(fred)|~quiet(fred))))&
(((generous(susan)<~>~brave(susan)))<=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((old(X)<~>~quiet(X))=>~strong(X)))&
(![X]:((... | ~tall(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8765347385951439741510066
% SZS output start Proof for 8765347385951439741510066
10. ? [X0] : (tall(X0) | ~old(X0)) <=> (funny(fred) & ~funny(fred)) [input p9]
25. tall(susan) [input hypothesis]
55. (? [X0] : (tall(X0) | ~old(X0)) | (~funny(fred) | funny(fred))) & ((funny(fred) & ~funny(f... | 0 |
Everyone who is either patient or brave is both strong and not strong.
If alice is not generous or patient then someone is old or brave and vice versa.
Everyone who is not happy or not creative is both kind and generous and vice versa.
If someone is either not tall or calm then someone is both rich and creative.
If ali... | Lucy is not happy. | neutral | (![X]:((patient(X)<~>brave(X))=>(strong(X)&~strong(X))))&
(((~generous(alice)|patient(alice)))<=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~happy(X)|~creative(X))<=>(kind(X)&generous(X))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((rich(X)&creative(X)))))&
(((~brave(alice)<~>~rich(alice)))<=>((curious(alice)<~>~rich(alice))))... | ~happy(lucy) | [] | null | 0 |
Everyone who is either kind or strong is either rich or not humble and vice versa.
If alice is not funny then mary is brave or curious and vice versa.
Everyone who is not happy or not calm is both not old and not creative.
If mary is kind or rich then alice is both quiet and not funny and vice versa.
Everyone who is ei... | Lucy is tall. | neutral | (![X]:((kind(X)<~>strong(X))<=>(rich(X)<~>~humble(X))))&
((~funny(alice))<=>((brave(mary)|curious(mary))))&
(![X]:((~happy(X)|~calm(X))=>(~old(X)&~creative(X))))&
(((kind(mary)|rich(mary)))<=>((quiet(alice)&~funny(alice))))&
(![X]:((rich(X)<~>~generous(X))=>(patient(X)&~happy(X))))&
(![X]:(strong(X)=>(~calm(X)&kind(X))... | tall(lucy) | [] | null | 0 |
If paul is both rich and wise then susan is either generous or not rich.
Everyone who is both not happy and not curious is not happy and vice versa.
Everyone who is both wise and not generous is tall or not wise and vice versa.
Everyone who is wise or humble is not wise or generous and vice versa.
If susan is not happy... | Alice is not strong. | contradiction | (((rich(paul)&wise(paul)))=>((generous(susan)<~>~rich(susan))))&
(![X]:((~happy(X)&~curious(X))<=>~happy(X)))&
(![X]:((wise(X)&~generous(X))<=>(tall(X)|~wise(X))))&
(![X]:((wise(X)|humble(X))<=>(~wise(X)|generous(X))))&
((~happy(susan))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((calm(X)<~>quiet(X))=>(funny(X)|patient(X))... | ~strong(alice) | [
"p2",
"p3",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2229724575390319421472101
% SZS output start Proof for 2229724575390319421472101
3. ! [X0] : ((~generous(X0) & wise(X0)) <=> (~wise(X0) | tall(X0))) [input p2]
4. ! [X0] : ((humble(X0) | wise(X0)) <=> (generous(X0) | ~wise(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> strong(... | 0 |
If someone is wise or brave then mary is not patient or kind. If someone is calm then someone is both not generous and not curious and vice versa. Everyone who is both not brave and tall is either generous or funny and vice versa. Everyone who is both not rich and tall is either quiet or not old and vice versa. Everyon... | Alice is brave. | contradiction | ((?[X]:((wise(X)|brave(X))))=>((~patient(mary)|kind(mary))))&
((?[X]:(calm(X)))<=>(?[X]:((~generous(X)&~curious(X)))))&
(![X]:((~brave(X)&tall(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)&tall(X))<=>(quiet(X)<~>~old(X))))&
(![X]:((~curious(X)|~kind(X))=>(~creative(X)|~kind(X))))&
(((kind(alice)&~calm(alice)))<=>(... | brave(alice) | [
"p5",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8400595329333273757463812
% SZS output start Proof for 8400595329333273757463812
6. (~calm(alice) & kind(alice)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p5]
8. ! [X0] : ((~funny(X0) | patient(X0)) => (~rich(X0) | ~generous(X0))) [input p7]
9. ! [X0] : ((funny(X0) | brave(X0)) => (~... | 0 |
Everyone who is either patient or not tall is both not brave and creative and vice versa.
Everyone who is tall or not brave is both wise and not old and vice versa.
Everyone who is both curious and calm is creative and vice versa.
If john is not happy or not patient then someone is kind.
If someone is both funny and no... | Lucy is rich. | contradiction | (![X]:((patient(X)<~>~tall(X))<=>(~brave(X)&creative(X))))&
(![X]:((tall(X)|~brave(X))<=>(wise(X)&~old(X))))&
(![X]:((curious(X)&calm(X))<=>creative(X)))&
(((~happy(john)|~patient(john)))=>(?[X]:(kind(X))))&
((?[X]:((funny(X)&~funny(X))))<=>(?[X]:(patient(X))))&
(![X]:((generous(X)|quiet(X))=>(tall(X)|~happy(X))))&
(![... | rich(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8645892940531707708272670
% SZS output start Proof for 8645892940531707708272670
8. ! [X0] : (creative(X0) <=> (rich(X0) <~> creative(X0))) [input p7]
24. rich(lucy) [input hypothesis]
51. ! [X0] : ((creative(X0) | ((rich(X0) | ~creative(X0)) & (creative(X0) | ~rich(X0)))) & (((~creative(... | 0 |
Everyone who is either not tall or funny is old or strong and vice versa.
If someone is not creative or patient then paul is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and vice versa.
Everyone who is funny is both not creative and genero... | Mary is not generous. | entailment | (![X]:((~tall(X)<~>funny(X))<=>(old(X)|strong(X))))&
((?[X]:((~creative(X)|patient(X))))<=>(old(paul)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)))<=>((calm(lucy)|~creative(lucy))))&
(... | ~generous(mary) | [
"p3",
"p4",
"p6",
"p7",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2131693085350607466285595
% SZS output start Proof for 2131693085350607466285595
4. ! [X0] : (wise(X0) <=> (happy(X0) | creative(X0))) [input p3]
5. ! [X0] : (funny(X0) <=> (generous(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p6]
8. ? [X0... | 0 |
Everyone who is either calm or curious is either not kind or not strong. If susan is either not rich or strong then paul is either old or curious. If lucy is not brave or creative then fred is either not funny or strong. Everyone who is kind or not generous is calm or rich and vice versa. Everyone who is either old or ... | Paul is happy. | entailment | (![X]:((calm(X)<~>curious(X))=>(~kind(X)<~>~strong(X))))&
(((~rich(susan)<~>strong(susan)))=>((old(paul)<~>curious(paul))))&
(((~brave(lucy)|creative(lucy)))=>((~funny(fred)<~>strong(fred))))&
(![X]:((kind(X)|~generous(X))<=>(calm(X)|rich(X))))&
(![X]:((old(X)<~>~old(X))=>(patient(X)<~>brave(X))))&
(((wise(mary)<~>~wis... | happy(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6769914212507397296364640
% SZS output start Proof for 6769914212507397296364640
21. happy(paul) [input p20]
25. ~happy(paul) [input hypothesis]
138. happy(paul) [cnf transformation 21]
144. ~happy(paul) [cnf transformation 25]
320. $false [subsumption resolution 144,138]
% SZS output end... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa. Everyone who is rich or strong is calm or not brave and vice versa. If alice is either not tall or generous then paul is both not strong and funny. Everyone who is either brave or not brave is both not strong and generous. Everyon... | Susan is not calm. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(calm(X)|~brave(X))))&
(((~tall(alice)<~>generous(alice)))=>((~strong(paul)&funny(paul))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>genero... | ~calm(susan) | [
"p1",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4390669469310722896751722
% SZS output start Proof for 4390669469310722896751722
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (~brave(X0) | calm(X0))) [input p1]
4. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p3]
11. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> (r... | 0 |
Everyone who is both brave and wise is both not kind and patient. If someone is quiet then someone is both creative and not funny. Everyone who is curious or funny is both curious and not creative and vice versa. If susan is tall then alice is both quiet and tall and vice versa. If someone is not patient or strong then... | Susan is not rich. | neutral | (![X]:((brave(X)&wise(X))=>(~kind(X)&patient(X))))&
((?[X]:(quiet(X)))=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:((curious(X)|funny(X))<=>(curious(X)&~creative(X))))&
((tall(susan))<=>((quiet(alice)&tall(alice))))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:((happy(X)|~tall(X))=>(quie... | ~rich(susan) | [] | null | 0 |
Everyone who is not rich is both quiet and not creative and vice versa.
If someone is not patient then someone is happy.
Everyone who is both not calm and not generous is either not rich or calm.
Everyone who is both not creative and curious is old or curious and vice versa.
If paul is not brave or not creative then so... | Susan is old. | contradiction | (![X]:(~rich(X)<=>(quiet(X)&~creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&~generous(X))=>(~rich(X)<~>calm(X))))&
(![X]:((~creative(X)&curious(X))<=>(old(X)|curious(X))))&
(((~brave(paul)|~creative(paul)))<=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:(~tall(X)<=>(~brave(X)|~calm(X))))&
(![X]... | old(susan) | [
"p5",
"p7",
"p11",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 274145094835757978224119
% SZS output start Proof for 274145094835757978224119
6. ! [X0] : (~tall(X0) <=> (~calm(X0) | ~brave(X0))) [input p5]
8. ! [X0] : ((~tall(X0) | wise(X0)) <=> ~humble(X0)) [input p7]
12. ? [X0] : (~humble(X0) & ~brave(X0)) => ~old(susan) [input p11]
20. calm(mary) ... | 0 |
If susan is not tall then someone is either patient or brave. If someone is either kind or not creative then fred is both not humble and tall. Everyone who is generous is both humble and not patient. If someone is both brave and not old then someone is both not old and not tall. If mary is both not rich and old then su... | Paul is patient. | neutral | ((~tall(susan))=>(?[X]:((patient(X)<~>brave(X)))))&
((?[X]:((kind(X)<~>~creative(X))))=>((~humble(fred)&tall(fred))))&
(![X]:(generous(X)=>(humble(X)&~patient(X))))&
((?[X]:((brave(X)&~old(X))))=>(?[X]:((~old(X)&~tall(X)))))&
(((~rich(mary)&old(mary)))<=>(generous(susan)))&
(![X]:((old(X)<~>~funny(X))=>(~curious(X)|qui... | patient(paul) | [] | null | 0 |
If someone is either not funny or patient then someone is not rich or not happy.
If someone is patient then fred is both not humble and brave.
Everyone who is tall or wise is not generous.
If fred is both brave and creative then alice is either strong or not kind and vice versa.
Everyone who is either not quiet or not ... | Mary is quiet. | entailment | ((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
((?[X]:(patient(X)))=>((~humble(fred)&brave(fred))))&
(![X]:((tall(X)|wise(X))=>~generous(X)))&
(((brave(fred)&creative(fred)))<=>((strong(alice)<~>~kind(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(generous(X)&~strong(X))))&
(![X]:(generous(X)<=>(kind(... | quiet(mary) | [
"p4",
"p5",
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1110375853900230800863718
% SZS output start Proof for 1110375853900230800863718
5. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~strong(X0) & generous(X0))) [input p4]
6. ! [X0] : (generous(X0) <=> (~kind(X0) & kind(X0))) [input p5]
9. ! [X0] : ((~old(X0) & kind(X0)) <=> (~calm(X0) | ~tall(... | 0 |
If someone is brave then lucy is either not rich or calm.
If someone is not creative then someone is calm or tall and vice versa.
Everyone who is both not quiet and not creative is not generous or not wise and vice versa.
Everyone who is both rich and curious is either not patient or wise and vice versa.
Everyone who i... | John is not patient. | entailment | ((?[X]:(brave(X)))=>((~rich(lucy)<~>calm(lucy))))&
((?[X]:(~creative(X)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:((~quiet(X)&~creative(X))<=>(~generous(X)|~wise(X))))&
(![X]:((rich(X)&curious(X))<=>(~patient(X)<~>wise(X))))&
(![X]:((~kind(X)<~>calm(X))=>(~creative(X)|~kind(X))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>((~hu... | ~patient(john) | [
"p2",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2537425803118275452707499
% SZS output start Proof for 2537425803118275452707499
3. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (~wise(X0) | ~generous(X0))) [input p2]
4. ! [X0] : ((curious(X0) & rich(X0)) <=> (~patient(X0) <~> wise(X0))) [input p3]
10. (~wise(paul) & happy(paul)) <=> ? [X... | 0 |
If someone is either humble or not kind then lucy is strong.
Everyone who is both humble and not calm is either not rich or calm.
If someone is quiet then paul is not tall or not old and vice versa.
Everyone who is not calm or not kind is creative or patient and vice versa.
Everyone who is calm is humble or not generou... | Paul is not creative. | contradiction | ((?[X]:((humble(X)<~>~kind(X))))=>(strong(lucy)))&
(![X]:((humble(X)&~calm(X))=>(~rich(X)<~>calm(X))))&
((?[X]:(quiet(X)))<=>((~tall(paul)|~old(paul))))&
(![X]:((~calm(X)|~kind(X))<=>(creative(X)|patient(X))))&
(![X]:(calm(X)=>(humble(X)|~generous(X))))&
(![X]:((~happy(X)|~old(X))=>(~kind(X)&~happy(X))))&
(![X]:((brave... | ~creative(paul) | [
"p3",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3165336726081602726530042
% SZS output start Proof for 3165336726081602726530042
4. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (patient(X0) | creative(X0))) [input p3]
6. ! [X0] : ((~old(X0) | ~happy(X0)) => (~happy(X0) & ~kind(X0))) [input p5]
10. ! [X0] : (creative(X0) <=> (happy(X0) | ~brav... | 0 |
If john is either not brave or not kind then someone is both tall and rich. Everyone who is not humble is either calm or kind and vice versa. Everyone who is not brave or funny is not quiet and vice versa. If someone is not rich or not calm then susan is strong. Everyone who is not old is kind or not calm. Everyone who... | Susan is not patient. | contradiction | (((~brave(john)<~>~kind(john)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:(~humble(X)<=>(calm(X)<~>kind(X))))&
(![X]:((~brave(X)|funny(X))<=>~quiet(X)))&
((?[X]:((~rich(X)|~calm(X))))=>(strong(susan)))&
(![X]:(~old(X)=>(kind(X)|~calm(X))))&
(![X]:((~curious(X)|~patient(X))<=>happy(X)))&
(((curious(susan)&~tall(susan)))<=>((h... | ~patient(susan) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5623676852977387728572436
% SZS output start Proof for 5623676852977387728572436
15. ? [X0] : ~strong(X0) => (old(susan) & patient(susan)) [input p14]
23. ? [X0] : (~strong(X0) & curious(X0)) [input p22]
24. ~patient(susan) [input hypothesis]
37. (old(susan) & patient(susan)) | ! [X0] : s... | 0 |
If susan is both strong and old then alice is not patient and vice versa.
Everyone who is not humble is both not wise and quiet.
Everyone who is either tall or wise is humble and vice versa.
Everyone who is patient or wise is generous or not brave.
If paul is both tall and not rich then someone is strong and vice versa... | Fred is generous. | neutral | (((strong(susan)&old(susan)))<=>(~patient(alice)))&
(![X]:(~humble(X)=>(~wise(X)&quiet(X))))&
(![X]:((tall(X)<~>wise(X))<=>humble(X)))&
(![X]:((patient(X)|wise(X))=>(generous(X)|~brave(X))))&
(((tall(paul)&~rich(paul)))<=>(?[X]:(strong(X))))&
(![X]:((~strong(X)|generous(X))=>(~rich(X)<~>~wise(X))))&
(![X]:((quiet(X)&~h... | generous(fred) | [] | null | 0 |
If someone is both not calm and not quiet then mary is curious or kind. If alice is either not tall or not humble then lucy is not wise or calm and vice versa. If someone is old or curious then someone is humble or generous. Everyone who is not strong or not rich is curious or strong and vice versa. Everyone who is eit... | Susan is happy. | contradiction | ((?[X]:((~calm(X)&~quiet(X))))=>((curious(mary)|kind(mary))))&
(((~tall(alice)<~>~humble(alice)))<=>((~wise(lucy)|calm(lucy))))&
((?[X]:((old(X)|curious(X))))=>(?[X]:((humble(X)|generous(X)))))&
(![X]:((~strong(X)|~rich(X))<=>(curious(X)|strong(X))))&
(![X]:((generous(X)<~>~curious(X))=>(~tall(X)<~>old(X))))&
(![X]:(ta... | happy(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 879160925259085009771748
% SZS output start Proof for 879160925259085009771748
22. ~happy(susan) & wise(susan) [input p21]
25. happy(susan) [input hypothesis]
113. ~happy(susan) [cnf transformation 22]
116. happy(susan) [cnf transformation 25]
239. $false [subsumption resolution 116,113]
... | 0 |
Everyone who is generous is either not humble or not old and vice versa.
If john is either not tall or not humble then someone is not humble.
Everyone who is rich or not old is both strong and calm and vice versa.
If paul is not brave or humble then someone is calm or not patient.
Everyone who is both not generous and ... | Paul is not old. | contradiction | (![X]:(generous(X)<=>(~humble(X)<~>~old(X))))&
(((~tall(john)<~>~humble(john)))=>(?[X]:(~humble(X))))&
(![X]:((rich(X)|~old(X))<=>(strong(X)&calm(X))))&
(((~brave(paul)|humble(paul)))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~generous(X)&kind(X))<=>(patient(X)&~kind(X))))&
(![X]:((patient(X)|~curious(X))<=>(~funny(X)&... | ~old(paul) | [
"p2",
"p4",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7380848691196581424983554
% SZS output start Proof for 7380848691196581424983554
3. ! [X0] : ((~old(X0) | rich(X0)) <=> (calm(X0) & strong(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~kind(X0) & patient(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | patient(X0)) <=> (~hap... | 0 |
If lucy is kind then someone is not kind.
If alice is funny or not kind then john is not creative or not quiet and vice versa.
Everyone who is not humble is tall or humble and vice versa.
Everyone who is creative or not brave is either not old or tall.
If paul is both calm and generous then someone is either tall or no... | Mary is not quiet. | contradiction | ((kind(lucy))=>(?[X]:(~kind(X))))&
(((funny(alice)|~kind(alice)))<=>((~creative(john)|~quiet(john))))&
(![X]:(~humble(X)<=>(tall(X)|humble(X))))&
(![X]:((creative(X)|~brave(X))=>(~old(X)<~>tall(X))))&
(((calm(paul)&generous(paul)))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((~curious(X)|rich(X))=>~calm(X)))&
(![X]:((brav... | ~quiet(mary) | [
"p2",
"p3",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5826897139104280331169193
% SZS output start Proof for 5826897139104280331169193
3. ! [X0] : (~humble(X0) <=> (humble(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~brave(X0) | creative(X0)) => (~old(X0) <~> tall(X0))) [input p3]
10. ! [X0] : ((quiet(X0) <~> ~brave(X0)) => ~old(X0)) [input p9... | 0 |
If paul is both humble and quiet then mary is not wise or creative and vice versa.
Everyone who is tall or generous is either not humble or not funny and vice versa.
Everyone who is not brave or generous is not brave.
Everyone who is both not creative and not tall is both not happy and strong and vice versa.
Everyone w... | Paul is not quiet. | contradiction | (((humble(paul)&quiet(paul)))<=>((~wise(mary)|creative(mary))))&
(![X]:((tall(X)|generous(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((~brave(X)|generous(X))=>~brave(X)))&
(![X]:((~creative(X)&~tall(X))<=>(~happy(X)&strong(X))))&
(![X]:(patient(X)<=>(~patient(X)|~funny(X))))&
(![X]:(~calm(X)=>(~kind(X)<~>~patient(X))))&
(... | ~quiet(paul) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4633332994149127183408250
% SZS output start Proof for 4633332994149127183408250
1. (quiet(paul) & humble(paul)) <=> (creative(mary) | ~wise(mary)) [input p0]
4. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (strong(X0) & ~happy(X0))) [input p3]
5. ! [X0] : (patient(X0) <=> (~funny(X0) | ~pat... | 0 |
If someone is kind then susan is either rich or generous.
If alice is both not happy and wise then susan is not patient.
If someone is both brave and not patient then someone is either not funny or strong.
Everyone who is either not humble or humble is either not quiet or curious.
If lucy is either not curious or not s... | Paul is tall. | contradiction | ((?[X]:(kind(X)))=>((rich(susan)<~>generous(susan))))&
(((~happy(alice)&wise(alice)))=>(~patient(susan)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~humble(X)<~>humble(X))=>(~quiet(X)<~>curious(X))))&
(((~curious(lucy)<~>~strong(lucy)))=>((~tall(lucy)<~>tall(lucy))))&
(![X]:((~humble... | tall(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 201647785266462056826168
% SZS output start Proof for 201647785266462056826168
21. ~tall(paul) & ~rich(paul) [input p20]
24. tall(paul) [input hypothesis]
122. ~tall(paul) [cnf transformation 21]
124. tall(paul) [cnf transformation 24]
186. 13 <=> tall(paul) [avatar definition]
237. ~13 [... | 0 |
Everyone who is either not funny or tall is both kind and tall.
Everyone who is quiet or not generous is not patient and vice versa.
If susan is both not generous and generous then someone is not patient and vice versa.
Everyone who is not old is brave or strong.
If lucy is strong or funny then paul is both not strong ... | John is humble. | neutral | (![X]:((~funny(X)<~>tall(X))=>(kind(X)&tall(X))))&
(![X]:((quiet(X)|~generous(X))<=>~patient(X)))&
(((~generous(susan)&generous(susan)))<=>(?[X]:(~patient(X))))&
(![X]:(~old(X)=>(brave(X)|strong(X))))&
(((strong(lucy)|funny(lucy)))=>((~strong(paul)&rich(paul))))&
(((kind(lucy)&happy(lucy)))=>(?[X]:((~strong(X)&curious(... | humble(john) | [] | null | 0 |
If fred is either not kind or not quiet then john is either not strong or rich and vice versa.
If someone is both not calm and calm then someone is either not old or not happy.
If someone is humble then paul is both not patient and kind.
If mary is either patient or not curious then someone is both not humble and not c... | John is patient. | entailment | (((~kind(fred)<~>~quiet(fred)))<=>((~strong(john)<~>rich(john))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(humble(X)))=>((~patient(paul)&kind(paul))))&
(((patient(mary)<~>~curious(mary)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(humble(mary)))&
(![X]:(~old... | patient(john) | [
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 738809329632303966591042
% SZS output start Proof for 738809329632303966591042
6. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p5]
7. ! [X0] : (~patient(X0) <=> ~calm(X0)) [input p6]
9. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p8]
11. ? [X0] : ~calm(X0) <=> ? [X0] : (wise(... | 0 |
Everyone who is kind or not kind is either curious or not happy. If susan is both not quiet and not wise then someone is quiet or not wise. If paul is not quiet then someone is brave and vice versa. Everyone who is not tall or not old is either not generous or humble and vice versa. Everyone who is both not quiet and t... | Mary is not quiet. | entailment | (![X]:((kind(X)|~kind(X))=>(curious(X)<~>~happy(X))))&
(((~quiet(susan)&~wise(susan)))=>(?[X]:((quiet(X)|~wise(X)))))&
((~quiet(paul))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(X)<~>humble(X))))&
(![X]:((~quiet(X)&tall(X))<=>(calm(X)|~happy(X))))&
((~curious(paul))=>((generous(mary)&~strong(mary))))&... | ~quiet(mary) | [
"p3",
"p4",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8425902723887714994163131
% SZS output start Proof for 8425902723887714994163131
4. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~generous(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (~happy(X0) | calm(X0))) [input p4]
10. ! [X0] : ((~old(X0) & rich(X0)) <=> (strong(... | 0 |
Everyone who is either not patient or not humble is either wise or rich and vice versa. If fred is not brave then alice is either quiet or not curious. Everyone who is either not creative or not happy is either happy or not calm. If lucy is not creative then susan is not happy. Everyone who is not strong or happy is no... | Lucy is kind. | neutral | (![X]:((~patient(X)<~>~humble(X))<=>(wise(X)<~>rich(X))))&
((~brave(fred))=>((quiet(alice)<~>~curious(alice))))&
(![X]:((~creative(X)<~>~happy(X))=>(happy(X)<~>~calm(X))))&
((~creative(lucy))=>(~happy(susan)))&
(![X]:((~strong(X)|happy(X))<=>~happy(X)))&
(![X]:((brave(X)|~patient(X))<=>old(X)))&
(![X]:(~happy(X)<=>(~cu... | kind(lucy) | [] | null | 0 |
Everyone who is both not curious and not quiet is both kind and rich and vice versa.
If alice is not creative or not generous then someone is not curious or not old.
If someone is not generous then lucy is both creative and patient.
Everyone who is both rich and kind is both strong and not patient and vice versa.
Every... | Fred is generous. | contradiction | (![X]:((~curious(X)&~quiet(X))<=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&~patient(X))))&
(![X]:((~kind(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((creative(X)&~wise(X))<=>(... | generous(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5806126694958056690403054
% SZS output start Proof for 5806126694958056690403054
18. ~generous(fred) & ~quiet(fred) [input p17]
25. generous(fred) [input hypothesis]
133. ~generous(fred) [cnf transformation 18]
142. generous(fred) [cnf transformation 25]
322. $false [subsumption resolutio... | 0 |
Everyone who is both not quiet and not creative is tall or not strong and vice versa.
If fred is creative then susan is not generous.
If lucy is both rich and curious then john is strong and vice versa.
Everyone who is either creative or not patient is old or not brave.
Everyone who is calm or not humble is either crea... | John is humble. | contradiction | (![X]:((~quiet(X)&~creative(X))<=>(tall(X)|~strong(X))))&
((creative(fred))=>(~generous(susan)))&
(((rich(lucy)&curious(lucy)))<=>(strong(john)))&
(![X]:((creative(X)<~>~patient(X))=>(old(X)|~brave(X))))&
(![X]:((calm(X)|~humble(X))=>(creative(X)<~>~happy(X))))&
(![X]:((~rich(X)&curious(X))=>(~patient(X)&~quiet(X))))&
... | humble(john) | [
"p7",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 116280829414203681447480
% SZS output start Proof for 116280829414203681447480
8. ! [X0] : ((brave(X0) & rich(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> generous(X0)) [input p10]
13. ? [X0] : (brave(X0) & kind(X0)) <=> (generous(mary) | ~rich(mary)) [inpu... | 0 |
Everyone who is either old or strong is patient or not generous.
Everyone who is both humble and wise is either not funny or not calm.
Everyone who is not kind or old is either not calm or patient.
If someone is either not strong or wise then someone is rich and vice versa.
Everyone who is quiet is calm or not humble a... | John is quiet. | entailment | (![X]:((old(X)<~>strong(X))=>(patient(X)|~generous(X))))&
(![X]:((humble(X)&wise(X))=>(~funny(X)<~>~calm(X))))&
(![X]:((~kind(X)|old(X))=>(~calm(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>wise(X))))<=>(?[X]:(rich(X))))&
(![X]:(quiet(X)<=>(calm(X)|~humble(X))))&
(![X]:(~funny(X)<=>(~brave(X)|~old(X))))&
(![X]:((~brave(X)... | quiet(john) | [
"p4",
"p5",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4153845810161937360561446
% SZS output start Proof for 4153845810161937360561446
5. ! [X0] : (quiet(X0) <=> (~humble(X0) | calm(X0))) [input p4]
6. ! [X0] : (~funny(X0) <=> (~old(X0) | ~brave(X0))) [input p5]
7. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> ~wise(X0)) [input p6]
13. ? [X0] : (... | 0 |
If someone is not happy then mary is not creative or brave.
If paul is not generous or not calm then someone is either not wise or funny.
If lucy is both not kind and rich then john is not kind or not rich.
Everyone who is either not creative or not patient is patient or wise.
If lucy is both generous and quiet then so... | Mary is wise. | contradiction | ((?[X]:(~happy(X)))=>((~creative(mary)|brave(mary))))&
(((~generous(paul)|~calm(paul)))=>(?[X]:((~wise(X)<~>funny(X)))))&
(((~kind(lucy)&rich(lucy)))=>((~kind(john)|~rich(john))))&
(![X]:((~creative(X)<~>~patient(X))=>(patient(X)|wise(X))))&
(((generous(lucy)&quiet(lucy)))=>(?[X]:((wise(X)|~happy(X)))))&
((?[X]:((~stro... | wise(mary) | [
"p9",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2095941632772644103482742
% SZS output start Proof for 2095941632772644103482742
10. ! [X0] : ((~strong(X0) <~> ~patient(X0)) <=> (~patient(X0) | funny(X0))) [input p9]
15. (brave(mary) & generous(mary)) <=> ? [X0] : strong(X0) [input p14]
16. ! [X0] : ((~brave(X0) <~> wise(X0)) => (brave... | 0 |
If someone is not calm then someone is both strong and creative and vice versa.
Everyone who is not funny is not kind or not creative.
If someone is calm then susan is not wise and vice versa.
If someone is calm then lucy is both curious and not wise.
If someone is both not tall and not quiet then someone is not patien... | Susan is kind. | entailment | ((?[X]:(~calm(X)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:(~funny(X)=>(~kind(X)|~creative(X))))&
((?[X]:(calm(X)))<=>(~wise(susan)))&
((?[X]:(calm(X)))=>((curious(lucy)&~wise(lucy))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((brave(X)|strong(X))=>(brave(X)|~strong(X))))&
(![X]:((~creative(X)&... | kind(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 52051155490625875859895
% SZS output start Proof for 52051155490625875859895
9. ! [X0] : ((~kind(X0) & strong(X0)) <=> (~kind(X0) & ~strong(X0))) [input p8]
22. ~kind(susan) [input hypothesis]
59. ! [X0] : (((~kind(X0) & strong(X0)) | (kind(X0) | strong(X0))) & ((~kind(X0) & ~strong(X0)) ... | 0 |
If someone is not rich or not strong then someone is not old.
If lucy is kind or generous then someone is both funny and not patient.
Everyone who is not tall is not curious.
Everyone who is creative or not quiet is not quiet or not rich.
Everyone who is either not generous or generous is either not calm or rich and vi... | John is not funny. | neutral | ((?[X]:((~rich(X)|~strong(X))))=>(?[X]:(~old(X))))&
(((kind(lucy)|generous(lucy)))=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:(~tall(X)=>~curious(X)))&
(![X]:((creative(X)|~quiet(X))=>(~quiet(X)|~rich(X))))&
(![X]:((~generous(X)<~>generous(X))<=>(~calm(X)<~>rich(X))))&
((?[X]:((humble(X)&happy(X))))=>((~curious(alice)<~>... | ~funny(john) | [] | null | 0 |
If lucy is both not rich and quiet then someone is either not creative or not strong. Everyone who is curious is not kind. If someone is strong then john is either wise or not patient and vice versa. If fred is both not curious and rich then mary is either not patient or quiet. Everyone who is not quiet is either not h... | Susan is brave. | neutral | (((~rich(lucy)&quiet(lucy)))=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:(curious(X)=>~kind(X)))&
((?[X]:(strong(X)))<=>((wise(john)<~>~patient(john))))&
(((~curious(fred)&rich(fred)))=>((~patient(mary)<~>quiet(mary))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)&rich(X))<=>(~patient(X)<~>cre... | brave(susan) | [] | null | 0 |
If someone is both kind and not generous then fred is not wise or not brave.
Everyone who is either happy or creative is both creative and not old and vice versa.
If someone is not creative or not calm then someone is both rich and funny and vice versa.
Everyone who is tall or brave is not quiet and vice versa.
Everyon... | Fred is strong. | entailment | ((?[X]:((kind(X)&~generous(X))))=>((~wise(fred)|~brave(fred))))&
(![X]:((happy(X)<~>creative(X))<=>(creative(X)&~old(X))))&
((?[X]:((~creative(X)|~calm(X))))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((tall(X)|brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>humble(X))<=>(kind(X)|~old(X))))&
(![X]:((~curious(X)&~generous(X))<=>... | strong(fred) | [
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 913469832099989647253172
% SZS output start Proof for 913469832099989647253172
2. ! [X0] : ((happy(X0) <~> creative(X0)) <=> (~old(X0) & creative(X0))) [input p1]
5. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (~old(X0) | kind(X0))) [input p4]
6. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> ... | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Alice is not kind. | entailment | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | ~kind(alice) | [
"p1",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3784393196164619351655823
% SZS output start Proof for 3784393196164619351655823
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
11. ? [X0] : (funny(X0) & old(X0)) => (~curious(alice) & strong(alice)) [input p10]
13. ! [X0... | 0 |
If someone is either happy or not creative then someone is either not humble or not strong.
If someone is calm or old then someone is not wise or wise and vice versa.
Everyone who is not funny or rich is both not calm and tall.
Everyone who is not old is kind and vice versa.
If john is not strong then someone is creati... | Paul is wise. | entailment | ((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~humble(X)<~>~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~funny(X)|rich(X))=>(~calm(X)&tall(X))))&
(![X]:(~old(X)<=>kind(X)))&
((~strong(john))<=>(?[X]:((creative(X)|~patient(X)))))&
(((~curious(paul)<~>~rich(paul)))<=>((~kind(lucy)&hum... | wise(paul) | [
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2579737804074396359880285
% SZS output start Proof for 2579737804074396359880285
5. ~strong(john) <=> ? [X0] : (~patient(X0) | creative(X0)) [input p4]
8. ! [X0] : (~humble(X0) <=> (~strong(X0) <~> ~humble(X0))) [input p7]
14. ! [X0] : (calm(X0) => (wise(X0) & calm(X0))) [input p13]
15. !... | 0 |
If someone is not creative then someone is both not strong and not wise and vice versa.
Everyone who is both strong and not creative is both not brave and not rich and vice versa.
If someone is both not wise and not kind then mary is not quiet or not wise and vice versa.
Everyone who is not tall is funny and vice versa... | Paul is not humble. | neutral | ((?[X]:(~creative(X)))<=>(?[X]:((~strong(X)&~wise(X)))))&
(![X]:((strong(X)&~creative(X))<=>(~brave(X)&~rich(X))))&
((?[X]:((~wise(X)&~kind(X))))<=>((~quiet(mary)|~wise(mary))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((curious(X)|~kind(X))=>(tall(X)&~brave(X))))&
(((~brave(lucy)|funny(lucy)))=>((~strong(paul)<~>brave(pau... | ~humble(paul) | [] | null | 0 |
Everyone who is either not creative or not patient is either not old or not creative and vice versa.
Everyone who is either wise or curious is not creative or tall and vice versa.
Everyone who is both not quiet and old is wise and vice versa.
Everyone who is either not brave or not wise is not brave or not funny and vi... | Lucy is old. | entailment | (![X]:((~creative(X)<~>~patient(X))<=>(~old(X)<~>~creative(X))))&
(![X]:((wise(X)<~>curious(X))<=>(~creative(X)|tall(X))))&
(![X]:((~quiet(X)&old(X))<=>wise(X)))&
(![X]:((~brave(X)<~>~wise(X))<=>(~brave(X)|~funny(X))))&
(((~curious(susan)|~wise(susan)))=>(?[X]:((~old(X)<~>~happy(X)))))&
(![X]:((brave(X)<~>generous(X))=... | old(lucy) | [
"p2",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3440462150083170837307282
% SZS output start Proof for 3440462150083170837307282
3. ! [X0] : ((old(X0) & ~quiet(X0)) <=> wise(X0)) [input p2]
4. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (~funny(X0) | ~brave(X0))) [input p3]
16. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> wise(X0)) [input p15... | 0 |
If someone is either not wise or creative then someone is both brave and not wise and vice versa.
Everyone who is both curious and brave is not curious or not patient and vice versa.
Everyone who is either not happy or not brave is either not generous or calm.
If someone is both generous and not curious then lucy is ei... | Lucy is not calm. | contradiction | ((?[X]:((~wise(X)<~>creative(X))))<=>(?[X]:((brave(X)&~wise(X)))))&
(![X]:((curious(X)&brave(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~generous(X)<~>calm(X))))&
((?[X]:((generous(X)&~curious(X))))=>((~humble(lucy)<~>calm(lucy))))&
(![X]:(~strong(X)<=>(~rich(X)|~wise(X))))&
((?[X]:((~creative(... | ~calm(lucy) | [
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2628887288629226357818894
% SZS output start Proof for 2628887288629226357818894
9. ! [X0] : ((~brave(X0) <~> ~calm(X0)) <=> ~tall(X0)) [input p8]
12. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> brave(X0)) [input p11]
15. ! [X0] : ((brave(X0) <~> ~brave(X0)) <=> (~tall(X0) & ~brave(X0))) [input... | 0 |
If someone is both strong and creative then someone is old or not strong and vice versa.
If lucy is either quiet or not generous then someone is not calm.
If fred is either not rich or brave then fred is not curious or kind and vice versa.
If fred is tall then lucy is rich.
Everyone who is rich or not strong is tall an... | Alice is patient. | neutral | ((?[X]:((strong(X)&creative(X))))<=>(?[X]:((old(X)|~strong(X)))))&
(((quiet(lucy)<~>~generous(lucy)))=>(?[X]:(~calm(X))))&
(((~rich(fred)<~>brave(fred)))<=>((~curious(fred)|kind(fred))))&
((tall(fred))=>(rich(lucy)))&
(![X]:((rich(X)|~strong(X))<=>tall(X)))&
(![X]:(~curious(X)<=>(~kind(X)&~brave(X))))&
(![X]:(~strong(X... | patient(alice) | [] | null | 0 |
If lucy is both not rich and creative then alice is both not patient and not calm and vice versa. Everyone who is not tall or not creative is either not old or not happy and vice versa. If someone is both wise and patient then susan is brave or not generous and vice versa. If someone is happy or not strong then someone... | Alice is generous. | neutral | (((~rich(lucy)&creative(lucy)))<=>((~patient(alice)&~calm(alice))))&
(![X]:((~tall(X)|~creative(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((wise(X)&patient(X))))<=>((brave(susan)|~generous(susan))))&
((?[X]:((happy(X)|~strong(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(((funny(john)<~>~funny(john)))<=>(?[X]:((~patient(X)|~brave(... | generous(alice) | [] | null | 0 |
If alice is rich then someone is calm or happy and vice versa. Everyone who is both tall and not wise is not calm. If fred is not curious or rich then someone is either happy or rich. Everyone who is not brave or humble is both funny and creative and vice versa. If someone is happy or calm then lucy is not patient. Eve... | Lucy is not curious. | entailment | ((rich(alice))<=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((tall(X)&~wise(X))=>~calm(X)))&
(((~curious(fred)|rich(fred)))=>(?[X]:((happy(X)<~>rich(X)))))&
(![X]:((~brave(X)|humble(X))<=>(funny(X)&creative(X))))&
((?[X]:((happy(X)|calm(X))))=>(~patient(lucy)))&
(![X]:((~creative(X)&humble(X))=>(~old(X)<~>~wise(X))))&
((?[X]:... | ~curious(lucy) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2617703892588858869193840
% SZS output start Proof for 2617703892588858869193840
11. ! [X0] : ((~humble(X0) & ~kind(X0)) <=> curious(X0)) [input p10]
22. kind(lucy) [input p21]
24. curious(lucy) [input hypothesis]
60. ! [X0] : (((~humble(X0) & ~kind(X0)) | ~curious(X0)) & (curious(X0) | (... | 0 |
If someone is kind then alice is curious and vice versa. Everyone who is quiet is brave and vice versa. If paul is tall then paul is either not humble or not old. Everyone who is not quiet or not happy is quiet or not creative and vice versa. If someone is either not tall or not creative then someone is not creative. E... | Lucy is rich. | contradiction | ((?[X]:(kind(X)))<=>(curious(alice)))&
(![X]:(quiet(X)<=>brave(X)))&
((tall(paul))=>((~humble(paul)<~>~old(paul))))&
(![X]:((~quiet(X)|~happy(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)&~brave(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~wise(X)|~rich(X))... | rich(lucy) | [
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1459622628572863703743728
% SZS output start Proof for 1459622628572863703743728
6. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> (~brave(X0) <~> ~strong(X0))) [input p5]
7. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> curious(X0)) [input p6]
8. ! [X0] : ((wise(X0) <~> ~kind(X0)) <=> (wise(X0) & strong... | 0 |
Everyone who is happy is either not quiet or not calm. If someone is not rich or not kind then paul is old. Everyone who is not wise is both rich and happy and vice versa. Everyone who is both not funny and not happy is not creative and vice versa. If someone is both not kind and not curious then someone is either not ... | Mary is not rich. | contradiction | (![X]:(happy(X)=>(~quiet(X)<~>~calm(X))))&
((?[X]:((~rich(X)|~kind(X))))=>(old(paul)))&
(![X]:(~wise(X)<=>(rich(X)&happy(X))))&
(![X]:((~funny(X)&~happy(X))<=>~creative(X)))&
((?[X]:((~kind(X)&~curious(X))))=>(?[X]:((~kind(X)<~>~humble(X)))))&
(((~happy(susan)|~curious(susan)))<=>(?[X]:((~funny(X)&~creative(X)))))&
((?... | ~rich(mary) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3459672711265907625436852
% SZS output start Proof for 3459672711265907625436852
3. ! [X0] : (~wise(X0) <=> (happy(X0) & rich(X0))) [input p2]
8. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> tall(X0)) [input p7]
22. ~rich(mary) [input hypothesis]
34. ! [X0] : ((~wise(X0) | (~happy(X0) | ~rich(X0... | 0 |
Everyone who is strong or happy is creative and vice versa.
If susan is patient then someone is both not curious and not rich and vice versa.
If someone is both not rich and old then someone is wise and vice versa.
If paul is patient or not generous then paul is not patient or not wise.
Everyone who is not generous or ... | Lucy is not creative. | neutral | (![X]:((strong(X)|happy(X))<=>creative(X)))&
((patient(susan))<=>(?[X]:((~curious(X)&~rich(X)))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(wise(X))))&
(((patient(paul)|~generous(paul)))=>((~patient(paul)|~wise(paul))))&
(![X]:((~generous(X)|~quiet(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>quiet(X))<=>~strong(X)))... | ~creative(lucy) | [] | null | 0 |
If someone is happy or not kind then susan is not funny or brave.
Everyone who is not calm is not creative or not patient.
Everyone who is not calm is strong.
Everyone who is either not brave or not quiet is old and vice versa.
If lucy is not curious then fred is either kind or not funny.
Everyone who is either not pat... | Fred is wise. | neutral | ((?[X]:((happy(X)|~kind(X))))=>((~funny(susan)|brave(susan))))&
(![X]:(~calm(X)=>(~creative(X)|~patient(X))))&
(![X]:(~calm(X)=>strong(X)))&
(![X]:((~brave(X)<~>~quiet(X))<=>old(X)))&
((~curious(lucy))=>((kind(fred)<~>~funny(fred))))&
(![X]:((~patient(X)<~>~creative(X))<=>kind(X)))&
((?[X]:((~calm(X)&~humble(X))))<=>(?... | wise(fred) | [] | null | 0 |
Everyone who is not strong is either patient or not wise and vice versa. Everyone who is patient or tall is rich. If susan is old then alice is tall or not humble and vice versa. If someone is either strong or not happy then someone is both not strong and not old. Everyone who is tall is not humble and vice versa. If j... | Alice is not calm. | entailment | (![X]:(~strong(X)<=>(patient(X)<~>~wise(X))))&
(![X]:((patient(X)|tall(X))=>rich(X)))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:(tall(X)<=>~humble(X)))&
(((patient(john)<~>~tall(john)))=>(?[X]:((kind(X)&strong(X)))))&
(![X]:((~brave(X)<~>g... | ~calm(alice) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6073586522791019497216098
% SZS output start Proof for 6073586522791019497216098
9. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p8]
13. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm(X0))) [input p12]
25. calm(alice) [input hypothesis]
33. ! [X0] : (quiet(X0) | (... | 0 |
If lucy is calm then someone is strong or not patient. If susan is not tall then john is not strong or not tall and vice versa. Everyone who is either not old or not quiet is either not rich or humble. Everyone who is not old or not humble is old. Everyone who is curious is humble or not tall. If fred is either generou... | Fred is humble. | neutral | ((calm(lucy))=>(?[X]:((strong(X)|~patient(X)))))&
((~tall(susan))<=>((~strong(john)|~tall(john))))&
(![X]:((~old(X)<~>~quiet(X))=>(~rich(X)<~>humble(X))))&
(![X]:((~old(X)|~humble(X))=>old(X)))&
(![X]:(curious(X)=>(humble(X)|~tall(X))))&
(((generous(fred)<~>wise(fred)))=>(?[X]:(wise(X))))&
(![X]:(creative(X)<=>quiet(X)... | humble(fred) | [] | null | 0 |
If fred is generous then paul is both old and patient.
Everyone who is both not happy and wise is brave.
Everyone who is either kind or not strong is either curious or funny and vice versa.
If someone is tall or not strong then john is both not humble and curious.
If someone is either not calm or not quiet then paul is... | Mary is brave. | neutral | ((generous(fred))=>((old(paul)&patient(paul))))&
(![X]:((~happy(X)&wise(X))=>brave(X)))&
(![X]:((kind(X)<~>~strong(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((tall(X)|~strong(X))))=>((~humble(john)&curious(john))))&
((?[X]:((~calm(X)<~>~quiet(X))))<=>((tall(paul)&~kind(paul))))&
(![X]:((generous(X)&~strong(X))<=>(~patien... | brave(mary) | [] | null | 0 |
Everyone who is either strong or not happy is either rich or not brave. If someone is brave or funny then paul is either not kind or kind. Everyone who is not calm or rich is either funny or strong and vice versa. If alice is either generous or not tall then alice is either not curious or kind and vice versa. Everyone ... | John is strong. | contradiction | (![X]:((strong(X)<~>~happy(X))=>(rich(X)<~>~brave(X))))&
((?[X]:((brave(X)|funny(X))))=>((~kind(paul)<~>kind(paul))))&
(![X]:((~calm(X)|rich(X))<=>(funny(X)<~>strong(X))))&
(((generous(alice)<~>~tall(alice)))<=>((~curious(alice)<~>kind(alice))))&
(![X]:((~patient(X)&happy(X))<=>brave(X)))&
((?[X]:((generous(X)&~creativ... | strong(john) | [
"p0",
"p4",
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 610777383168764871628590
% SZS output start Proof for 610777383168764871628590
1. ! [X0] : ((strong(X0) <~> ~happy(X0)) => (rich(X0) <~> ~brave(X0))) [input p0]
5. ! [X0] : ((happy(X0) & ~patient(X0)) <=> brave(X0)) [input p4]
7. ? [X0] : (rich(X0) & ~rich(X0)) <=> (~happy(john) | patient... | 0 |
If someone is creative then someone is not tall or not generous and vice versa. Everyone who is generous is both funny and rich. Everyone who is either humble or old is both generous and funny. Everyone who is humble is calm and vice versa. Everyone who is humble is generous and vice versa. If someone is either happy o... | Susan is not curious. | contradiction | ((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~generous(X)))))&
(![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creati... | ~curious(susan) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5255952405778157310769920
% SZS output start Proof for 5255952405778157310769920
1. ? [X0] : creative(X0) <=> ? [X0] : (~generous(X0) | ~tall(X0)) [input p0]
4. ! [X0] : (humble(X0) <=> calm(X0)) [input p3]
5. ! [X0] : (humble(X0) <=> generous(X0)) [input p4]
7. ! [X0] : ((~creative(X0) &... | 0 |
Everyone who is both not old and old is not funny and vice versa. Everyone who is either not calm or strong is funny. If someone is generous then someone is not happy or not quiet. If someone is not strong then john is both calm and not happy and vice versa. Everyone who is both creative and generous is not tall or not... | John is quiet. | contradiction | (![X]:((~old(X)&old(X))<=>~funny(X)))&
(![X]:((~calm(X)<~>strong(X))=>funny(X)))&
((?[X]:(generous(X)))=>(?[X]:((~happy(X)|~quiet(X)))))&
((?[X]:(~strong(X)))<=>((calm(john)&~happy(john))))&
(![X]:((creative(X)&generous(X))<=>(~tall(X)|~creative(X))))&
(![X]:(wise(X)=>(~generous(X)|~creative(X))))&
(![X]:((calm(X)&happ... | quiet(john) | [
"p0",
"p9",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1339964736864368517435405
% SZS output start Proof for 1339964736864368517435405
1. ! [X0] : ((old(X0) & ~old(X0)) <=> ~funny(X0)) [input p0]
10. ! [X0] : (quiet(X0) => (kind(X0) <~> curious(X0))) [input p9]
11. ! [X0] : ((funny(X0) | old(X0)) <=> (~kind(X0) & ~happy(X0))) [input p10]
16.... | 0 |
Everyone who is not humble is both curious and rich and vice versa.
If someone is not brave or not generous then someone is both not funny and kind.
Everyone who is either happy or humble is either not brave or strong and vice versa.
If john is either not happy or not curious then john is rich or not curious and vice v... | Paul is old. | neutral | (![X]:(~humble(X)<=>(curious(X)&rich(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((~funny(X)&kind(X)))))&
(![X]:((happy(X)<~>humble(X))<=>(~brave(X)<~>strong(X))))&
(((~happy(john)<~>~curious(john)))<=>((rich(john)|~curious(john))))&
(![X]:(happy(X)<=>(creative(X)&~curious(X))))&
(![X]:(tall(X)=>~creative(X)))&
(!... | old(paul) | [] | null | 0 |
If paul is not wise then someone is either tall or funny.
If susan is not quiet then fred is either not brave or not calm.
Everyone who is calm or rich is humble and vice versa.
Everyone who is not brave or calm is both not happy and funny.
Everyone who is both not generous and funny is happy or brave and vice versa.
I... | Fred is not calm. | contradiction | ((~wise(paul))=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(fred))))&
(![X]:((calm(X)|rich(X))<=>humble(X)))&
(![X]:((~brave(X)|calm(X))=>(~happy(X)&funny(X))))&
(![X]:((~generous(X)&funny(X))<=>(happy(X)|brave(X))))&
(((~creative(fred)|quiet(fred)))<=>(?[X]:(patient(X))))&
(![X]:(generous(... | ~calm(fred) | [
"p3",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7215368201023351225326239
% SZS output start Proof for 7215368201023351225326239
4. ! [X0] : ((calm(X0) | ~brave(X0)) => (funny(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (brave(X0) | happy(X0))) [input p4]
8. ! [X0] : (happy(X0) => (~brave(X0) | ~funny(X0)... | 0 |
If john is both not brave and happy then someone is rich or not tall.
Everyone who is both creative and kind is either funny or not patient.
If someone is not generous or quiet then someone is not rich or not happy and vice versa.
Everyone who is brave is creative or happy and vice versa.
If someone is either patient o... | Mary is not happy. | entailment | (((~brave(john)&happy(john)))=>(?[X]:((rich(X)|~tall(X)))))&
(![X]:((creative(X)&kind(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((~generous(X)|quiet(X))))<=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:(brave(X)<=>(creative(X)|happy(X))))&
((?[X]:((patient(X)<~>~patient(X))))=>(?[X]:(wise(X))))&
((?[X]:((~happy(X)&~creative(X))... | ~happy(mary) | [
"p8",
"p11",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8663987325225370251560550
% SZS output start Proof for 8663987325225370251560550
9. ? [X0] : rich(X0) => (~generous(mary) & ~happy(mary)) [input p8]
12. ! [X0] : ((~rich(X0) <~> calm(X0)) => (funny(X0) | ~brave(X0))) [input p11]
19. brave(alice) [input p18]
20. ~funny(alice) & ~calm(alice... | 0 |
If someone is both quiet and not old then alice is both quiet and tall and vice versa.
Everyone who is both not patient and not strong is generous and vice versa.
If someone is calm or not curious then someone is not patient and vice versa.
If fred is generous then mary is not curious or strong.
Everyone who is rich is... | Susan is not calm. | entailment | ((?[X]:((quiet(X)&~old(X))))<=>((quiet(alice)&tall(alice))))&
(![X]:((~patient(X)&~strong(X))<=>generous(X)))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(~patient(X))))&
((generous(fred))=>((~curious(mary)|strong(mary))))&
(![X]:(rich(X)=>(funny(X)&happy(X))))&
((?[X]:((~quiet(X)|~creative(X))))=>(?[X]:((tall(X)<~>~old(X... | ~calm(susan) | [
"p1",
"p2",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4433679282025423939848162
% SZS output start Proof for 4433679282025423939848162
2. ! [X0] : ((~strong(X0) & ~patient(X0)) <=> generous(X0)) [input p1]
3. ? [X0] : (~curious(X0) | calm(X0)) <=> ? [X0] : ~patient(X0) [input p2]
11. ! [X0] : (old(X0) <=> (humble(X0) & patient(X0))) [input p... | 0 |
Everyone who is both curious and not strong is not curious or funny and vice versa.
Everyone who is not creative is both not patient and not strong.
If someone is not old or creative then someone is either funny or patient and vice versa.
Everyone who is wise is not rich or funny and vice versa.
If someone is not rich ... | Mary is not wise. | entailment | (![X]:((curious(X)&~strong(X))<=>(~curious(X)|funny(X))))&
(![X]:(~creative(X)=>(~patient(X)&~strong(X))))&
((?[X]:((~old(X)|creative(X))))<=>(?[X]:((funny(X)<~>patient(X)))))&
(![X]:(wise(X)<=>(~rich(X)|funny(X))))&
((?[X]:((~rich(X)|curious(X))))<=>((~strong(paul)|generous(paul))))&
(![X]:((tall(X)|wise(X))<=>patient... | ~wise(mary) | [
"p0",
"p3",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3837601183343019456827147
% SZS output start Proof for 3837601183343019456827147
1. ! [X0] : ((~strong(X0) & curious(X0)) <=> (funny(X0) | ~curious(X0))) [input p0]
4. ! [X0] : (wise(X0) <=> (funny(X0) | ~rich(X0))) [input p3]
9. ? [X0] : ~rich(X0) => (wise(lucy) & ~quiet(lucy)) [input p8... | 0 |
Everyone who is patient or not creative is not patient or not funny. If paul is both not humble and not creative then someone is both patient and not wise and vice versa. If someone is not humble or not strong then fred is not wise or not kind and vice versa. If someone is either not kind or generous then lucy is eithe... | Paul is strong. | contradiction | (![X]:((patient(X)|~creative(X))=>(~patient(X)|~funny(X))))&
(((~humble(paul)&~creative(paul)))<=>(?[X]:((patient(X)&~wise(X)))))&
((?[X]:((~humble(X)|~strong(X))))<=>((~wise(fred)|~kind(fred))))&
((?[X]:((~kind(X)<~>generous(X))))<=>((~patient(lucy)<~>quiet(lucy))))&
(![X]:((~generous(X)|~kind(X))=>(~brave(X)<~>old(X)... | strong(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 632673204199186079242959
% SZS output start Proof for 632673204199186079242959
16. ! [X0] : (strong(X0) <=> (~strong(X0) & ~funny(X0))) [input p15]
23. strong(paul) [input hypothesis]
73. ! [X0] : ((strong(X0) | (strong(X0) | funny(X0))) & ((~strong(X0) & ~funny(X0)) | ~strong(X0))) [nnf ... | 0 |
Everyone who is both wise and not curious is either not humble or not creative and vice versa. Everyone who is not strong or not wise is curious or not funny and vice versa. If someone is either happy or creative then someone is rich or strong and vice versa. Everyone who is strong or patient is not humble. Everyone wh... | Susan is not tall. | entailment | (![X]:((wise(X)&~curious(X))<=>(~humble(X)<~>~creative(X))))&
(![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=... | ~tall(susan) | [
"p0",
"p7",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7637110977302860022309500
% SZS output start Proof for 7637110977302860022309500
1. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~humble(X0) <~> ~creative(X0))) [input p0]
8. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (rich(X0) & ~generous(X0))) [input p7]
9. ! [X0] : ((~curious(X0) | ~kind(X0... | 0 |
Everyone who is not tall is funny or not brave and vice versa. Everyone who is not creative or not tall is both strong and not generous. Everyone who is both generous and not quiet is calm. If susan is brave or not kind then someone is either not calm or patient and vice versa. Everyone who is both old and generous is ... | Mary is funny. | contradiction | (![X]:(~tall(X)<=>(funny(X)|~brave(X))))&
(![X]:((~creative(X)|~tall(X))=>(strong(X)&~generous(X))))&
(![X]:((generous(X)&~quiet(X))=>calm(X)))&
(((brave(susan)|~kind(susan)))<=>(?[X]:((~calm(X)<~>patient(X)))))&
(![X]:((old(X)&generous(X))=>old(X)))&
(![X]:(curious(X)<=>(~creative(X)<~>funny(X))))&
(![X]:((~happy(X)<~... | funny(mary) | [
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6399351308497742949679730
% SZS output start Proof for 6399351308497742949679730
8. ! [X0] : ((~brave(X0) | brave(X0)) => ~patient(X0)) [input p7]
10. ~calm(mary) => ? [X0] : patient(X0) [input p9]
15. ! [X0] : ((creative(X0) | funny(X0)) <=> (kind(X0) & ~calm(X0))) [input p14]
25. funny(... | 0 |
Everyone who is not kind is not happy and vice versa.
Everyone who is old is either not brave or strong and vice versa.
If someone is either not strong or quiet then someone is either calm or rich and vice versa.
If someone is both patient and not happy then someone is humble.
If alice is both rich and not generous the... | Mary is not old. | neutral | (![X]:(~kind(X)<=>~happy(X)))&
(![X]:(old(X)<=>(~brave(X)<~>strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:((calm(X)<~>rich(X)))))&
((?[X]:((patient(X)&~happy(X))))=>(?[X]:(humble(X))))&
(((rich(alice)&~generous(alice)))=>(?[X]:(kind(X))))&
(![X]:(~creative(X)<=>(~creative(X)&brave(X))))&
(![X]:((creative(X)&~... | ~old(mary) | [] | null | 0 |
Everyone who is strong or not creative is happy and vice versa.
If someone is not happy then someone is funny and vice versa.
Everyone who is both wise and curious is strong or creative.
If john is not brave then mary is happy or rich.
If paul is either not patient or brave then fred is humble or not tall and vice vers... | John is brave. | neutral | (![X]:((strong(X)|~creative(X))<=>happy(X)))&
((?[X]:(~happy(X)))<=>(?[X]:(funny(X))))&
(![X]:((wise(X)&curious(X))=>(strong(X)|creative(X))))&
((~brave(john))=>((happy(mary)|rich(mary))))&
(((~patient(paul)<~>brave(paul)))<=>((humble(fred)|~tall(fred))))&
(![X]:((tall(X)|~kind(X))<=>(happy(X)&tall(X))))&
(![X]:((calm(... | brave(john) | [] | null | 0 |
Everyone who is either strong or not brave is curious or kind and vice versa.
If someone is both humble and not funny then someone is either not funny or patient and vice versa.
If someone is either kind or rich then someone is either wise or patient and vice versa.
Everyone who is either happy or not humble is either ... | John is curious. | entailment | (![X]:((strong(X)<~>~brave(X))<=>(curious(X)|kind(X))))&
((?[X]:((humble(X)&~funny(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
((?[X]:((kind(X)<~>rich(X))))<=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((happy(X)<~>~humble(X))=>(wise(X)<~>~rich(X))))&
((?[X]:((funny(X)<~>old(X))))<=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|... | curious(john) | [
"p5",
"p7",
"p10",
"p14",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9160489794376062241293114
% SZS output start Proof for 9160489794376062241293114
6. ! [X0] : ((~kind(X0) | funny(X0)) => (~happy(X0) | wise(X0))) [input p5]
8. ! [X0] : (~rich(X0) <=> ~humble(X0)) [input p7]
11. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~wise(X0) & ~generous(X0))) [input... | 0 |
If someone is both calm and brave then someone is both calm and not strong and vice versa.
If paul is either happy or calm then fred is both patient and not quiet.
Everyone who is either rich or not rich is not creative and vice versa.
If someone is either calm or old then someone is not generous.
Everyone who is eithe... | Lucy is curious. | neutral | ((?[X]:((calm(X)&brave(X))))<=>(?[X]:((calm(X)&~strong(X)))))&
(((happy(paul)<~>calm(paul)))=>((patient(fred)&~quiet(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>~creative(X)))&
((?[X]:((calm(X)<~>old(X))))=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)<~>~calm(X))=>~old(X)))&
(![X]:((~funny(X)&calm(X))=>~creative(X)))&
(![X]... | curious(lucy) | [] | null | 0 |
Everyone who is not curious or not humble is both not humble and not creative and vice versa. Everyone who is either strong or brave is creative and vice versa. If susan is not quiet or brave then fred is either not happy or not generous. Everyone who is either generous or not calm is not strong and vice versa. Everyon... | Lucy is not curious. | neutral | (![X]:((~curious(X)|~humble(X))<=>(~humble(X)&~creative(X))))&
(![X]:((strong(X)<~>brave(X))<=>creative(X)))&
(((~quiet(susan)|brave(susan)))=>((~happy(fred)<~>~generous(fred))))&
(![X]:((generous(X)<~>~calm(X))<=>~strong(X)))&
(![X]:((curious(X)|~curious(X))<=>(calm(X)<~>~quiet(X))))&
(((happy(paul)<~>old(paul)))<=>(?... | ~curious(lucy) | [] | null | 0 |
Everyone who is not calm is both patient and not humble and vice versa. If someone is both old and not strong then someone is old or calm and vice versa. Everyone who is both generous and not old is not patient or kind. Everyone who is quiet is either not rich or creative. If john is funny or old then lucy is not humbl... | Mary is not old. | contradiction | (![X]:(~calm(X)<=>(patient(X)&~humble(X))))&
((?[X]:((old(X)&~strong(X))))<=>(?[X]:((old(X)|calm(X)))))&
(![X]:((generous(X)&~old(X))=>(~patient(X)|kind(X))))&
(![X]:(quiet(X)=>(~rich(X)<~>creative(X))))&
(((funny(john)|old(john)))=>((~humble(lucy)|curious(lucy))))&
(((quiet(lucy)|~humble(lucy)))<=>((wise(paul)&humble(... | ~old(mary) | [
"p2",
"p7",
"p9",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5271305206882166557782305
% SZS output start Proof for 5271305206882166557782305
3. ! [X0] : ((~old(X0) & generous(X0)) => (kind(X0) | ~patient(X0))) [input p2]
8. ! [X0] : ((old(X0) | kind(X0)) <=> (~calm(X0) | ~wise(X0))) [input p7]
10. ! [X0] : ((tall(X0) & ~funny(X0)) <=> kind(X0)) [i... | 0 |
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny is not funny or wise and vice versa.
Everyone who is not strong or patient is not funny or brave and vice versa.
If paul is not happy then someone is either not tall or not old and vice versa.
Everyone who is both no... | Susan is old. | neutral | ((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>... | old(susan) | [] | null | 0 |
Everyone who is both kind and not quiet is both not brave and not creative.
If someone is either not funny or kind then mary is both funny and happy and vice versa.
If someone is old or quiet then someone is either not funny or not quiet and vice versa.
If someone is curious then someone is both curious and old and vic... | Susan is not funny. | contradiction | (![X]:((kind(X)&~quiet(X))=>(~brave(X)&~creative(X))))&
((?[X]:((~funny(X)<~>kind(X))))<=>((funny(mary)&happy(mary))))&
((?[X]:((old(X)|quiet(X))))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:(happy(X)<=>(kind(X)&~happy(X))))&
((~calm(paul))=>(?[X]:((~rich(X)&old(X))... | ~funny(susan) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8487332168535868150264055
% SZS output start Proof for 8487332168535868150264055
2. ? [X0] : (~funny(X0) <~> kind(X0)) <=> (happy(mary) & funny(mary)) [input p1]
5. ! [X0] : (happy(X0) <=> (~happy(X0) & kind(X0))) [input p4]
22. ~funny(susan) [input hypothesis]
39. (? [X0] : ((~kind(X0) |... | 0 |
Everyone who is not wise or not calm is both not quiet and quiet.
Everyone who is either strong or not happy is both not brave and not creative and vice versa.
If someone is both calm and not tall then someone is not patient or quiet and vice versa.
Everyone who is either happy or not quiet is not generous or happy and... | Fred is brave. | entailment | (![X]:((~wise(X)|~calm(X))=>(~quiet(X)&quiet(X))))&
(![X]:((strong(X)<~>~happy(X))<=>(~brave(X)&~creative(X))))&
((?[X]:((calm(X)&~tall(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~generous(X)|happy(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((brave(X)|~curious(X)))))&
(((~calm(susan)|strong(susa... | brave(fred) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2663479950295744690413537
% SZS output start Proof for 2663479950295744690413537
1. ! [X0] : ((~calm(X0) | ~wise(X0)) => (quiet(X0) & ~quiet(X0))) [input p0]
16. ! [X0] : ((~brave(X0) | ~kind(X0)) <=> (~wise(X0) & ~strong(X0))) [input p15]
24. ~brave(fred) [input hypothesis]
28. ! [X0] : ... | 0 |
Everyone who is creative or brave is either not humble or not happy.
Everyone who is both not wise and curious is both not rich and generous.
If someone is not calm then susan is both not old and tall.
Everyone who is not funny is not creative and vice versa.
Everyone who is not brave or not humble is not happy or calm... | Susan is not creative. | neutral | (![X]:((creative(X)|brave(X))=>(~humble(X)<~>~happy(X))))&
(![X]:((~wise(X)&curious(X))=>(~rich(X)&generous(X))))&
((?[X]:(~calm(X)))=>((~old(susan)&tall(susan))))&
(![X]:(~funny(X)<=>~creative(X)))&
(![X]:((~brave(X)|~humble(X))<=>(~happy(X)|calm(X))))&
(((~humble(john)<~>wise(john)))<=>(?[X]:(~rich(X))))&
(((kind(luc... | ~creative(susan) | [] | null | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is generous or not old and vice versa.
Everyone who is calm is curious.
If john is not funny or not wise then mary is either not brave or not happy and vice versa.
Everyone who is either wise or strong is both creative and ... | John is not rich. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((generous(X)|~old(X)))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((~g... | ~rich(john) | [] | null | 0 |
If someone is patient or old then someone is both funny and curious.
If someone is either not happy or not curious then susan is not curious or not strong.
Everyone who is patient or not brave is generous.
Everyone who is both not generous and kind is not funny.
If someone is both not funny and funny then someone is no... | Alice is generous. | entailment | ((?[X]:((patient(X)|old(X))))=>(?[X]:((funny(X)&curious(X)))))&
((?[X]:((~happy(X)<~>~curious(X))))=>((~curious(susan)|~strong(susan))))&
(![X]:((patient(X)|~brave(X))=>generous(X)))&
(![X]:((~generous(X)&kind(X))=>~funny(X)))&
((?[X]:((~funny(X)&funny(X))))=>(?[X]:(~generous(X))))&
(((happy(john)&~rich(john)))<=>((old... | generous(alice) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8234145710333276406816238
% SZS output start Proof for 8234145710333276406816238
4. ! [X0] : ((kind(X0) & ~generous(X0)) => ~funny(X0)) [input p3]
12. ? [X0] : (funny(X0) <~> curious(X0)) => (generous(alice) & ~generous(alice)) [input p11]
16. ! [X0] : (~curious(X0) <=> (funny(X0) & ~kind... | 0 |
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