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 either generous or not generous is both strong and curious and vice versa. If someone is both brave and not quiet then fred is both not generous and not humble. Everyone who is either not kind or not wise is both not creative and calm. Everyone who is both not calm and not quiet is both not happy and no... | Fred is curious. | entailment | (![X]:((generous(X)<~>~generous(X))<=>(strong(X)&curious(X))))&
((?[X]:((brave(X)&~quiet(X))))=>((~generous(fred)&~humble(fred))))&
(![X]:((~kind(X)<~>~wise(X))=>(~creative(X)&calm(X))))&
(![X]:((~calm(X)&~quiet(X))<=>(~happy(X)&~rich(X))))&
(![X]:(~happy(X)<=>(~funny(X)<~>~humble(X))))&
(![X]:((~tall(X)<~>~generous(X)... | curious(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1869914609419640851950
% SZS output start Proof for 1869914609419640851950
1. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (curious(X0) & strong(X0))) [input p0]
22. ~curious(fred) [input hypothesis]
35. ! [X0] : ((((generous(X0) | ~generous(X0)) & (~generous(X0) | generous(X0))) | (~cu... | 0 |
Everyone who is generous is not rich.
If someone is either not creative or calm then someone is both rich and wise.
If fred is either tall or not humble then someone is both not funny and not creative.
If someone is curious then mary is not generous and vice versa.
Everyone who is not quiet is not tall or brave and vic... | Fred is kind. | entailment | (![X]:(generous(X)=>~rich(X)))&
((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((rich(X)&wise(X)))))&
(((tall(fred)<~>~humble(fred)))=>(?[X]:((~funny(X)&~creative(X)))))&
((?[X]:(curious(X)))<=>(~generous(mary)))&
(![X]:(~quiet(X)<=>(~tall(X)|brave(X))))&
(![X]:(~strong(X)=>(~kind(X)<~>old(X))))&
(![X]:((~strong(X)<~>~creat... | kind(fred) | [
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5731737081182632261964832
% SZS output start Proof for 5731737081182632261964832
8. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> (funny(X0) | humble(X0))) [input p7]
10. ! [X0] : ((~old(X0) | old(X0)) => (~humble(X0) <~> creative(X0))) [input p9]
12. ! [X0] : ((~kind(X0) | ~brave(X0)) => ~st... | 0 |
Everyone who is either generous or rich is either not patient or not generous. If fred is not old then someone is not tall. If someone is both not rich and strong then someone is both not creative and strong and vice versa. Everyone who is either quiet or calm is patient or not creative and vice versa. Everyone who is ... | Alice is wise. | neutral | (![X]:((generous(X)<~>rich(X))=>(~patient(X)<~>~generous(X))))&
((~old(fred))=>(?[X]:(~tall(X))))&
((?[X]:((~rich(X)&strong(X))))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:((quiet(X)<~>calm(X))<=>(patient(X)|~creative(X))))&
(![X]:((generous(X)&creative(X))=>(strong(X)|~humble(X))))&
(![X]:(~curious(X)=>(~old(X)<~>fu... | wise(alice) | [] | null | 0 |
Everyone who is humble or calm is both old and not curious and vice versa. Everyone who is generous or wise is both not happy and funny. Everyone who is generous or patient is not rich. Everyone who is calm or not funny is both wise and humble and vice versa. Everyone who is either creative or not brave is tall or not ... | Paul is not calm. | entailment | (![X]:((humble(X)|calm(X))<=>(old(X)&~curious(X))))&
(![X]:((generous(X)|wise(X))=>(~happy(X)&funny(X))))&
(![X]:((generous(X)|patient(X))=>~rich(X)))&
(![X]:((calm(X)|~funny(X))<=>(wise(X)&humble(X))))&
(![X]:((creative(X)<~>~brave(X))=>(tall(X)|~quiet(X))))&
((~strong(lucy))=>(?[X]:((brave(X)|funny(X)))))&
(((~funny(... | ~calm(paul) | [
"p0",
"p1",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 130523508091172608576201
% SZS output start Proof for 130523508091172608576201
1. ! [X0] : ((calm(X0) | humble(X0)) <=> (~curious(X0) & old(X0))) [input p0]
2. ! [X0] : ((wise(X0) | generous(X0)) => (funny(X0) & ~happy(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | calm(X0)) <=> (humble(X0) ... | 0 |
Everyone who is strong is either not quiet or not rich and vice versa.
Everyone who is both not kind and not tall is either not generous or not old and vice versa.
Everyone who is either quiet or not wise is both not happy and quiet and vice versa.
If alice is either kind or not calm then someone is both not tall and n... | Lucy is calm. | entailment | (![X]:(strong(X)<=>(~quiet(X)<~>~rich(X))))&
(![X]:((~kind(X)&~tall(X))<=>(~generous(X)<~>~old(X))))&
(![X]:((quiet(X)<~>~wise(X))<=>(~happy(X)&quiet(X))))&
(((kind(alice)<~>~calm(alice)))<=>(?[X]:((~tall(X)&~kind(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)<~>strong(X))=>(calm(X)<~>~rich(X))... | calm(lucy) | [
"p1",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5573287120210432313726767
% SZS output start Proof for 5573287120210432313726767
2. ! [X0] : ((~tall(X0) & ~kind(X0)) <=> (~generous(X0) <~> ~old(X0))) [input p1]
11. ! [X0] : ((~generous(X0) & ~funny(X0)) <=> ~patient(X0)) [input p10]
12. ! [X0] : ((~generous(X0) & kind(X0)) <=> (calm(X0... | 0 |
If susan is patient then paul is either not strong or strong.
Everyone who is both funny and not funny is wise.
If someone is not kind then someone is either not creative or creative and vice versa.
If mary is either not rich or wise then someone is old or not calm.
If fred is both not curious and patient then someone ... | Fred is curious. | entailment | ((patient(susan))=>((~strong(paul)<~>strong(paul))))&
(![X]:((funny(X)&~funny(X))=>wise(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(((~rich(mary)<~>wise(mary)))=>(?[X]:((old(X)|~calm(X)))))&
(((~curious(fred)&patient(fred)))=>(?[X]:((~patient(X)<~>brave(X)))))&
(![X]:((old(X)<~>~rich(X))<=>calm(... | curious(fred) | [
"p7",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3640452119615246352703242
% SZS output start Proof for 3640452119615246352703242
8. (~curious(fred) | ~brave(fred)) => ? [X0] : (~generous(X0) & curious(X0)) [input p7]
11. ? [X0] : (~generous(X0) | quiet(X0)) => (strong(fred) & ~generous(fred)) [input p10]
20. generous(fred) [input p19]
... | 0 |
If mary is not calm then paul is either not brave or not generous and vice versa. If lucy is either not funny or not old then lucy is not old. If mary is either curious or wise then someone is brave. Everyone who is both not tall and not brave is both rich and kind. If susan is either not funny or strong then paul is b... | Paul is wise. | contradiction | ((~calm(mary))<=>((~brave(paul)<~>~generous(paul))))&
(((~funny(lucy)<~>~old(lucy)))=>(~old(lucy)))&
(((curious(mary)<~>wise(mary)))=>(?[X]:(brave(X))))&
(![X]:((~tall(X)&~brave(X))=>(rich(X)&kind(X))))&
(((~funny(susan)<~>strong(susan)))=>((~happy(paul)&~strong(paul))))&
(((tall(john)|creative(john)))=>((~rich(fred)&~... | wise(paul) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5873812107637484301340706
% SZS output start Proof for 5873812107637484301340706
12. ! [X0] : ((patient(X0) <~> ~wise(X0)) => ~wise(X0)) [input p11]
16. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (humble(X0) | ~patient(X0))) [input p15]
25. wise(paul) [input hypothesis]
37. ! [X0] : (~wise(... | 0 |
Everyone who is both not happy and strong is not curious or creative.
If someone is not generous then paul is not rich and vice versa.
If alice is both not patient and not funny then someone is either curious or quiet and vice versa.
Everyone who is both not generous and not strong is not tall.
Everyone who is both str... | Lucy is not kind. | neutral | (![X]:((~happy(X)&strong(X))=>(~curious(X)|creative(X))))&
((?[X]:(~generous(X)))<=>(~rich(paul)))&
(((~patient(alice)&~funny(alice)))<=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:((~generous(X)&~strong(X))=>~tall(X)))&
(![X]:((strong(X)&~funny(X))<=>(~tall(X)<~>~rich(X))))&
((old(john))=>(?[X]:((wise(X)|~curious(X)))))&... | ~kind(lucy) | [] | null | 0 |
If someone is not funny then mary is either not patient or rich.
Everyone who is funny is either rich or not brave.
If john is either not curious or generous then someone is generous.
Everyone who is humble or strong is either strong or not wise.
Everyone who is either calm or brave is not calm.
If mary is generous or ... | Mary is strong. | neutral | ((?[X]:(~funny(X)))=>((~patient(mary)<~>rich(mary))))&
(![X]:(funny(X)=>(rich(X)<~>~brave(X))))&
(((~curious(john)<~>generous(john)))=>(?[X]:(generous(X))))&
(![X]:((humble(X)|strong(X))=>(strong(X)<~>~wise(X))))&
(![X]:((calm(X)<~>brave(X))=>~calm(X)))&
(((generous(mary)|~old(mary)))=>(?[X]:((rich(X)<~>~creative(X))))... | strong(mary) | [] | null | 0 |
Everyone who is not happy or not wise is both not creative and quiet and vice versa.
If susan is not tall then someone is either not creative or not tall and vice versa.
If lucy is curious then susan is either not creative or strong.
If paul is not curious then someone is patient.
Everyone who is old is both not wise a... | Alice is happy. | entailment | (![X]:((~happy(X)|~wise(X))<=>(~creative(X)&quiet(X))))&
((~tall(susan))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
((curious(lucy))=>((~creative(susan)<~>strong(susan))))&
((~curious(paul))=>(?[X]:(patient(X))))&
(![X]:(old(X)=>(~wise(X)&creative(X))))&
((?[X]:(kind(X)))<=>((~funny(alice)<~>brave(alice))))&
((?[X]:(old(X)... | happy(alice) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2909654375731475495608790
% SZS output start Proof for 2909654375731475495608790
1. ! [X0] : ((~wise(X0) | ~happy(X0)) <=> (quiet(X0) & ~creative(X0))) [input p0]
13. ! [X0] : ((~happy(X0) | ~generous(X0)) => (~strong(X0) & ~quiet(X0))) [input p12]
24. ~happy(alice) [input hypothesis]
34.... | 0 |
Everyone who is not tall or not humble is both old and not brave and vice versa. Everyone who is not generous is both not happy and not creative and vice versa. If alice is not strong or not funny then someone is either not strong or not humble and vice versa. Everyone who is either tall or calm is happy and vice versa... | Mary is kind. | neutral | (![X]:((~tall(X)|~humble(X))<=>(old(X)&~brave(X))))&
(![X]:(~generous(X)<=>(~happy(X)&~creative(X))))&
(((~strong(alice)|~funny(alice)))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((tall(X)<~>calm(X))<=>happy(X)))&
(![X]:((humble(X)&~funny(X))=>happy(X)))&
(![X]:((~curious(X)|curious(X))<=>~humble(X)))&
((?[X]:(wise(... | kind(mary) | [] | null | 0 |
If lucy is either patient or tall then someone is both patient and not tall.
If someone is not curious or curious then lucy is strong and vice versa.
Everyone who is not rich is generous or strong and vice versa.
If someone is not generous or wise then john is either creative or not calm and vice versa.
Everyone who is... | Alice is not calm. | neutral | (((patient(lucy)<~>tall(lucy)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:((~curious(X)|curious(X))))<=>(strong(lucy)))&
(![X]:(~rich(X)<=>(generous(X)|strong(X))))&
((?[X]:((~generous(X)|wise(X))))<=>((creative(john)<~>~calm(john))))&
(![X]:(~brave(X)<=>(patient(X)&~strong(X))))&
(![X]:((~generous(X)<~>~tall(X))<=>(~br... | ~calm(alice) | [] | null | 0 |
If fred is both not quiet and wise then alice is humble or not calm and vice versa.
If john is funny or not tall then someone is both tall and calm and vice versa.
If someone is not kind then someone is either strong or patient.
Everyone who is not happy or patient is not old.
If susan is either rich or not patient the... | John is patient. | entailment | (((~quiet(fred)&wise(fred)))<=>((humble(alice)|~calm(alice))))&
(((funny(john)|~tall(john)))<=>(?[X]:((tall(X)&calm(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((~happy(X)|patient(X))=>~old(X)))&
(((rich(susan)<~>~patient(susan)))<=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((creative(X)|~curious(X... | patient(john) | [
"p7",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6308409969854846309663780
% SZS output start Proof for 6308409969854846309663780
8. ! [X0] : ((~strong(X0) & ~brave(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p7]
10. (old(john) | ~wise(john)) <=> (~creative(john) & ~old(john)) [input p9]
12. ! [X0] : ((~strong(X0) & old(X0)) <=> (cur... | 0 |
Everyone who is either not happy or wise is both not creative and humble.
If someone is either not funny or not old then someone is kind or rich and vice versa.
Everyone who is not strong is either not wise or calm.
If someone is curious then mary is both not old and generous and vice versa.
Everyone who is not curious... | Fred is not happy. | contradiction | (![X]:((~happy(X)<~>wise(X))=>(~creative(X)&humble(X))))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:(~strong(X)=>(~wise(X)<~>calm(X))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(![X]:((brave(X... | ~happy(fred) | [
"p3",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 796856194192649777239313
% SZS output start Proof for 796856194192649777239313
4. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p4]
8. ! [X0] : (~old(X0) => (~calm(X0) & ~generous(X0))) [input p7]
16. ! [... | 0 |
If fred is not humble then someone is not old or not kind and vice versa. Everyone who is tall or not patient is either not brave or quiet. Everyone who is generous is not old and vice versa. Everyone who is not kind is not funny or not old. Everyone who is both generous and old is both not calm and kind. Everyone who ... | John is not brave. | neutral | ((~humble(fred))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((tall(X)|~patient(X))=>(~brave(X)<~>quiet(X))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:(~kind(X)=>(~funny(X)|~old(X))))&
(![X]:((generous(X)&old(X))=>(~calm(X)&kind(X))))&
(![X]:(~patient(X)<=>brave(X)))&
(![X]:(brave(X)<=>(~strong(X)&~happy(X))))&
((?[X]:((~creat... | ~brave(john) | [] | null | 0 |
Everyone who is calm is not humble and vice versa. Everyone who is curious is not calm and vice versa. Everyone who is both not calm and humble is either calm or not old and vice versa. Everyone who is either calm or tall is either not patient or not kind and vice versa. Everyone who is funny or quiet is not kind and v... | Paul is calm. | contradiction | (![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
(![X]:((funny(X)|quiet(X))<=>~kind(X)))&
((?[X]:((~humble(X)|~quiet(X))))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:((tall(X)|~curious(X))=>(~patie... | calm(paul) | [
"p0",
"p1",
"p2",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 930765092290368023898141
% SZS output start Proof for 930765092290368023898141
1. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p2]
7. ! [X0] : ((~curious(X0) | ta... | 0 |
If someone is either not wise or not old then paul is both not generous and curious and vice versa.
Everyone who is either rich or not old is not generous or strong and vice versa.
Everyone who is not tall is both not brave and not happy.
Everyone who is both calm and tall is not generous and vice versa.
Everyone who i... | Lucy is not generous. | entailment | ((?[X]:((~wise(X)<~>~old(X))))<=>((~generous(paul)&curious(paul))))&
(![X]:((rich(X)<~>~old(X))<=>(~generous(X)|strong(X))))&
(![X]:(~tall(X)=>(~brave(X)&~happy(X))))&
(![X]:((calm(X)&tall(X))<=>~generous(X)))&
(![X]:((~wise(X)&~generous(X))<=>generous(X)))&
((?[X]:((curious(X)&wise(X))))<=>(rich(alice)))&
(![X]:(~curi... | ~generous(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6446910522392399749878414
% SZS output start Proof for 6446910522392399749878414
5. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> generous(X0)) [input p4]
23. generous(lucy) [input hypothesis]
41. ! [X0] : (((~generous(X0) & ~wise(X0)) | ~generous(X0)) & (generous(X0) | (generous(X0) | wise(X... | 0 |
Everyone who is either not patient or not funny is both not humble and wise.
If lucy is not patient or old then someone is both not curious and not rich.
Everyone who is old or not old is both calm and rich and vice versa.
Everyone who is calm or not creative is tall and vice versa.
Everyone who is patient or creative ... | Fred is strong. | neutral | (![X]:((~patient(X)<~>~funny(X))=>(~humble(X)&wise(X))))&
(((~patient(lucy)|old(lucy)))=>(?[X]:((~curious(X)&~rich(X)))))&
(![X]:((old(X)|~old(X))<=>(calm(X)&rich(X))))&
(![X]:((calm(X)|~creative(X))<=>tall(X)))&
(![X]:((patient(X)|creative(X))=>~brave(X)))&
(((~kind(susan)<~>old(susan)))<=>((rich(lucy)|kind(lucy))))&
... | strong(fred) | [] | null | 0 |
If someone is not tall then someone is either generous or quiet and vice versa.
Everyone who is wise is funny or not tall.
Everyone who is tall is both rich and funny and vice versa.
Everyone who is either creative or strong is both not calm and not brave and vice versa.
Everyone who is not tall or rich is both tall an... | Lucy is not kind. | contradiction | ((?[X]:(~tall(X)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
(![X]:(wise(X)=>(funny(X)|~tall(X))))&
(![X]:(tall(X)<=>(rich(X)&funny(X))))&
(![X]:((creative(X)<~>strong(X))<=>(~calm(X)&~brave(X))))&
(![X]:((~tall(X)|rich(X))=>(tall(X)&calm(X))))&
(![X]:((generous(X)|patient(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((tall(X)&humb... | ~kind(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2028196234917379302320824
% SZS output start Proof for 2028196234917379302320824
3. ! [X0] : (tall(X0) <=> (funny(X0) & rich(X0))) [input p2]
4. ! [X0] : ((creative(X0) <~> strong(X0)) <=> (~brave(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((rich(X0) | ~tall(X0)) => (calm(X0) & tall(X0))) [... | 0 |
If alice is either humble or not wise then someone is not funny.
Everyone who is either not quiet or kind is both curious and brave and vice versa.
Everyone who is creative is kind or generous.
If someone is not rich or happy then mary is not brave or happy.
Everyone who is both not patient and not kind is not curious ... | Mary is not quiet. | contradiction | (((humble(alice)<~>~wise(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(curious(X)&brave(X))))&
(![X]:(creative(X)=>(kind(X)|generous(X))))&
((?[X]:((~rich(X)|happy(X))))=>((~brave(mary)|happy(mary))))&
(![X]:((~patient(X)&~kind(X))<=>~curious(X)))&
(((~quiet(john)|wise(john)))<=>(?[X]:((curious(X)&~cur... | ~quiet(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5299793962528174009735589
% SZS output start Proof for 5299793962528174009735589
8. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p7]
22. ~quiet(mary) [input hypothesis]
46. ! [X0] : (((calm(X0) & ~calm(X0)) | (kind(X0) & quiet(X0))) & ((~kind(X0) | ~quiet(X0)) | (... | 0 |
If john is not brave or old then alice is not funny or happy and vice versa. Everyone who is either rich or not funny is not calm. If mary is either rich or brave then lucy is either not old or not quiet. Everyone who is both not kind and happy is both not tall and curious and vice versa. If alice is both not strong an... | Paul is tall. | entailment | (((~brave(john)|old(john)))<=>((~funny(alice)|happy(alice))))&
(![X]:((rich(X)<~>~funny(X))=>~calm(X)))&
(((rich(mary)<~>brave(mary)))=>((~old(lucy)<~>~quiet(lucy))))&
(![X]:((~kind(X)&happy(X))<=>(~tall(X)&curious(X))))&
(((~strong(alice)&old(alice)))<=>(?[X]:((rich(X)|humble(X)))))&
(![X]:((kind(X)|rich(X))=>(~old(X)... | tall(paul) | [
"p3",
"p4",
"p5",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5210783225090045630296614
% SZS output start Proof for 5210783225090045630296614
4. ! [X0] : ((happy(X0) & ~kind(X0)) <=> (curious(X0) & ~tall(X0))) [input p3]
5. (old(alice) & ~strong(alice)) <=> ? [X0] : (humble(X0) | rich(X0)) [input p4]
6. ! [X0] : ((rich(X0) | kind(X0)) => (kind(X0) ... | 0 |
Everyone who is either generous or not old is either tall or patient. Everyone who is both kind and not humble is kind. If alice is curious or not quiet then mary is either not calm or creative. If lucy is both not curious and not tall then someone is both tall and kind. If someone is kind or not calm then someone is s... | Mary is wise. | entailment | (![X]:((generous(X)<~>~old(X))=>(tall(X)<~>patient(X))))&
(![X]:((kind(X)&~humble(X))=>kind(X)))&
(((curious(alice)|~quiet(alice)))=>((~calm(mary)<~>creative(mary))))&
(((~curious(lucy)&~tall(lucy)))=>(?[X]:((tall(X)&kind(X)))))&
((?[X]:((kind(X)|~calm(X))))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:(generous(X)=>(~brav... | wise(mary) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3317656219057493795178501
% SZS output start Proof for 3317656219057493795178501
7. ! [X0] : ((~calm(X0) & ~wise(X0)) => (calm(X0) & ~rich(X0))) [input p6]
14. ! [X0] : ((brave(X0) | calm(X0)) => (old(X0) & wise(X0))) [input p13]
23. ~wise(mary) [input hypothesis]
25. ! [X0] : ((~calm(X0)... | 0 |
If susan is not old or not wise then john is not humble and vice versa.
Everyone who is curious or generous is both happy and tall.
Everyone who is tall or strong is brave or not tall.
If someone is rich then mary is either strong or generous and vice versa.
If paul is both not kind and humble then someone is either no... | Mary is not happy. | neutral | (((~old(susan)|~wise(susan)))<=>(~humble(john)))&
(![X]:((curious(X)|generous(X))=>(happy(X)&tall(X))))&
(![X]:((tall(X)|strong(X))=>(brave(X)|~tall(X))))&
((?[X]:(rich(X)))<=>((strong(mary)<~>generous(mary))))&
(((~kind(paul)&humble(paul)))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~generous(X)&~humble(X))))<=>... | ~happy(mary) | [] | null | 0 |
If someone is wise then someone is not quiet and vice versa.
Everyone who is either creative or not wise is not funny and vice versa.
Everyone who is both calm and quiet is not quiet.
If alice is old then someone is not wise or not kind and vice versa.
Everyone who is not happy is not rich.
If someone is not patient th... | John is tall. | entailment | ((?[X]:(wise(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)<~>~wise(X))<=>~funny(X)))&
(![X]:((calm(X)&quiet(X))=>~quiet(X)))&
((old(alice))<=>(?[X]:((~wise(X)|~kind(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:(~generous(X)<=>(generous(X)|happy(X))))&
(![X]:((r... | tall(john) | [
"p3",
"p6",
"p9",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 626221511061730336270111
% SZS output start Proof for 626221511061730336270111
4. old(alice) <=> ? [X0] : (~kind(X0) | ~wise(X0)) [input p3]
7. ! [X0] : (~generous(X0) <=> (happy(X0) | generous(X0))) [input p6]
10. ? [X0] : (generous(X0) | ~tall(X0)) <=> (kind(alice) | ~humble(alice)) [in... | 0 |
Everyone who is both not generous and not kind is either kind or not tall and vice versa. If someone is either not kind or not curious then someone is either not old or not wise. Everyone who is funny is either not kind or not funny. Everyone who is both not strong and generous is not generous or not quiet. Everyone wh... | Fred is funny. | contradiction | (![X]:((~generous(X)&~kind(X))<=>(kind(X)<~>~tall(X))))&
((?[X]:((~kind(X)<~>~curious(X))))=>(?[X]:((~old(X)<~>~wise(X)))))&
(![X]:(funny(X)=>(~kind(X)<~>~funny(X))))&
(![X]:((~strong(X)&generous(X))=>(~generous(X)|~quiet(X))))&
(![X]:((~kind(X)|happy(X))=>(~tall(X)|~rich(X))))&
(((~wise(susan)<~>creative(susan)))<=>(?... | funny(fred) | [
"p0",
"p2",
"p13",
"p14",
"p15",
"p17",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5218374367175015276401831
% SZS output start Proof for 5218374367175015276401831
1. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p0]
3. ! [X0] : (funny(X0) => (~kind(X0) <~> ~funny(X0))) [input p2]
14. ! [X0] : ((~happy(X0) & ~old(X0)) => (curious(X0) <~> tal... | 0 |
Everyone who is either not strong or not kind is not rich.
If mary is funny then someone is either not curious or not wise.
Everyone who is both happy and not old is old.
If fred is either not rich or not calm then someone is either not quiet or rich and vice versa.
Everyone who is both not calm and brave is not tall o... | John is funny. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
((funny(mary))=>(?[X]:((~curious(X)<~>~wise(X)))))&
(![X]:((happy(X)&~old(X))=>old(X)))&
(((~rich(fred)<~>~calm(fred)))<=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((~calm(X)&brave(X))=>(~tall(X)|~quiet(X))))&
(![X]:(~quiet(X)=>(~happy(X)&curious(X))))&
((?[X]:(generous(X)))=>(?... | funny(john) | [
"p5",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5293844353651200012759717
% SZS output start Proof for 5293844353651200012759717
6. ! [X0] : (~quiet(X0) => (curious(X0) & ~happy(X0))) [input p5]
11. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> ~kind(X0)) [input p10]
14. ! [X0] : ((kind(X0) | ~creative(X0)) => (happy(X0) & ~curious(X0))) [inp... | 0 |
If alice is humble then someone is not happy and vice versa.
Everyone who is either not happy or not tall is humble.
If fred is either not curious or not generous then someone is either rich or happy and vice versa.
Everyone who is both not wise and not generous is funny or not curious and vice versa.
If someone is cre... | Paul is generous. | contradiction | ((humble(alice))<=>(?[X]:(~happy(X))))&
(![X]:((~happy(X)<~>~tall(X))=>humble(X)))&
(((~curious(fred)<~>~generous(fred)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(![X]:((~wise(X)&~generous(X))<=>(funny(X)|~curious(X))))&
((?[X]:((creative(X)|patient(X))))=>((old(fred)&~rich(fred))))&
(![X]:((curious(X)&old(X))<=>(curious(X)<... | generous(paul) | [
"p3",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8326679390796276558841741
% SZS output start Proof for 8326679390796276558841741
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (~curious(X0) | funny(X0))) [input p3]
12. ! [X0] : ((generous(X0) | ~curious(X0)) => (funny(X0) <~> ~kind(X0))) [input p11]
20. kind(paul) [input p19]
25. generou... | 0 |
Everyone who is old is both curious and brave and vice versa. If alice is either wise or not tall then someone is both creative and not humble and vice versa. Everyone who is generous or not patient is not strong. Everyone who is generous is calm or patient and vice versa. Everyone who is not old or rich is both not br... | Alice is not rich. | neutral | (![X]:(old(X)<=>(curious(X)&brave(X))))&
(((wise(alice)<~>~tall(alice)))<=>(?[X]:((creative(X)&~humble(X)))))&
(![X]:((generous(X)|~patient(X))=>~strong(X)))&
(![X]:(generous(X)<=>(calm(X)|patient(X))))&
(![X]:((~old(X)|rich(X))<=>(~brave(X)&~wise(X))))&
((?[X]:(~happy(X)))=>((brave(alice)<~>tall(alice))))&
((?[X]:((~q... | ~rich(alice) | [] | null | 0 |
If someone is not curious or creative then susan is not generous and vice versa.
Everyone who is not kind or strong is both not generous and not calm and vice versa.
Everyone who is both funny and not strong is both not funny and not kind.
If someone is either patient or not humble then alice is either creative or calm... | Fred is not funny. | entailment | ((?[X]:((~curious(X)|creative(X))))<=>(~generous(susan)))&
(![X]:((~kind(X)|strong(X))<=>(~generous(X)&~calm(X))))&
(![X]:((funny(X)&~strong(X))=>(~funny(X)&~kind(X))))&
((?[X]:((patient(X)<~>~humble(X))))<=>((creative(alice)<~>calm(alice))))&
(((~happy(fred)<~>strong(fred)))<=>(?[X]:((rich(X)&~creative(X)))))&
(![X]:(... | ~funny(fred) | [
"p1",
"p2",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7750879504908477604498077
% SZS output start Proof for 7750879504908477604498077
2. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (~calm(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((~strong(X0) & funny(X0)) => (~kind(X0) & ~funny(X0))) [input p2]
6. ! [X0] : ((~tall(X0) | tall(X0)) <=> old(X0)... | 0 |
Everyone who is quiet or not brave is both not humble and curious and vice versa.
If susan is either funny or not strong then john is not quiet or strong and vice versa.
If someone is curious or old then lucy is both rich and not creative.
If fred is not funny then lucy is either not old or curious and vice versa.
Ever... | Fred is curious. | contradiction | (![X]:((quiet(X)|~brave(X))<=>(~humble(X)&curious(X))))&
(((funny(susan)<~>~strong(susan)))<=>((~quiet(john)|strong(john))))&
((?[X]:((curious(X)|old(X))))=>((rich(lucy)&~creative(lucy))))&
((~funny(fred))<=>((~old(lucy)<~>curious(lucy))))&
(![X]:((~generous(X)<~>~curious(X))=>(~calm(X)|~wise(X))))&
((humble(fred))=>(?... | curious(fred) | [
"p2",
"p7",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7307473440037311894496939
% SZS output start Proof for 7307473440037311894496939
3. ? [X0] : (old(X0) | curious(X0)) => (~creative(lucy) & rich(lucy)) [input p2]
8. ~wise(lucy) <=> ? [X0] : (tall(X0) <~> ~creative(X0)) [input p7]
13. ! [X0] : ((~wise(X0) <~> ~strong(X0)) <=> (~creative(X0... | 0 |
Everyone who is either funny or not rich is either humble or curious and vice versa. Everyone who is both not patient and not old is both humble and quiet. If someone is calm or brave then paul is not quiet or creative and vice versa. If someone is not old or not creative then paul is both not wise and kind and vice ve... | Paul is strong. | neutral | (![X]:((funny(X)<~>~rich(X))<=>(humble(X)<~>curious(X))))&
(![X]:((~patient(X)&~old(X))=>(humble(X)&quiet(X))))&
((?[X]:((calm(X)|brave(X))))<=>((~quiet(paul)|creative(paul))))&
((?[X]:((~old(X)|~creative(X))))<=>((~wise(paul)&kind(paul))))&
(((kind(john)|~calm(john)))<=>(?[X]:((~kind(X)|~humble(X)))))&
((tall(paul))<=... | strong(paul) | [] | null | 0 |
If someone is both old and not funny then someone is either not old or humble. Everyone who is not old is either not quiet or curious. Everyone who is either wise or not generous is not brave and vice versa. Everyone who is generous is wise or brave. If someone is either not calm or calm then someone is curious. If som... | Lucy is not rich. | neutral | ((?[X]:((old(X)&~funny(X))))=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:(~old(X)=>(~quiet(X)<~>curious(X))))&
(![X]:((wise(X)<~>~generous(X))<=>~brave(X)))&
(![X]:(generous(X)=>(wise(X)|brave(X))))&
((?[X]:((~calm(X)<~>calm(X))))=>(?[X]:(curious(X))))&
((?[X]:(~generous(X)))=>(?[X]:((kind(X)&old(X)))))&
((?[X]:((strong(X)... | ~rich(lucy) | [] | null | 0 |
If someone is both not calm and not curious then someone is not humble or not quiet and vice versa.
Everyone who is funny is either strong or not brave.
Everyone who is wise or not creative is strong.
Everyone who is happy is both not funny and not curious and vice versa.
If someone is either kind or not rich then some... | Susan is not kind. | entailment | ((?[X]:((~calm(X)&~curious(X))))<=>(?[X]:((~humble(X)|~quiet(X)))))&
(![X]:(funny(X)=>(strong(X)<~>~brave(X))))&
(![X]:((wise(X)|~creative(X))=>strong(X)))&
(![X]:(happy(X)<=>(~funny(X)&~curious(X))))&
((?[X]:((kind(X)<~>~rich(X))))<=>(?[X]:((~quiet(X)&tall(X)))))&
((?[X]:((~tall(X)|~quiet(X))))=>(?[X]:(quiet(X))))&
((... | ~kind(susan) | [
"p3",
"p8",
"p9",
"p11",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1881946604042370090690746
% SZS output start Proof for 1881946604042370090690746
4. ! [X0] : (happy(X0) <=> (~curious(X0) & ~funny(X0))) [input p3]
9. ! [X0] : (happy(X0) <=> (humble(X0) <~> ~generous(X0))) [input p8]
10. ! [X0] : ((generous(X0) | ~creative(X0)) => (~calm(X0) & ~quiet(X0)... | 0 |
Everyone who is both not funny and not patient is either funny or old and vice versa. Everyone who is both brave and not brave is either not humble or not old and vice versa. Everyone who is both creative and not curious is kind. If mary is either not humble or wise then susan is either not creative or not funny and vi... | Lucy is old. | neutral | (![X]:((~funny(X)&~patient(X))<=>(funny(X)<~>old(X))))&
(![X]:((brave(X)&~brave(X))<=>(~humble(X)<~>~old(X))))&
(![X]:((creative(X)&~curious(X))=>kind(X)))&
(((~humble(mary)<~>wise(mary)))<=>((~creative(susan)<~>~funny(susan))))&
(![X]:((~creative(X)|~curious(X))=>(~patient(X)&patient(X))))&
(![X]:((~generous(X)&~patie... | old(lucy) | [] | null | 0 |
If someone is both quiet and not quiet then someone is either patient or not happy.
If mary is not funny then lucy is calm or not kind.
Everyone who is not quiet or not rich is both creative and generous and vice versa.
If someone is brave or not strong then susan is rich.
Everyone who is either calm or patient is quie... | Lucy is quiet. | neutral | ((?[X]:((quiet(X)&~quiet(X))))=>(?[X]:((patient(X)<~>~happy(X)))))&
((~funny(mary))=>((calm(lucy)|~kind(lucy))))&
(![X]:((~quiet(X)|~rich(X))<=>(creative(X)&generous(X))))&
((?[X]:((brave(X)|~strong(X))))=>(rich(susan)))&
(![X]:((calm(X)<~>patient(X))=>(quiet(X)|~old(X))))&
((?[X]:((~tall(X)<~>curious(X))))=>((generous... | quiet(lucy) | [] | null | 0 |
Everyone who is tall is both kind and strong. Everyone who is either not brave or curious is both patient and brave. Everyone who is both happy and patient is not brave. Everyone who is brave or rich is not creative and vice versa. If alice is either not generous or not brave then someone is both wise and not brave and... | John is calm. | neutral | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~brave(X)<~>curious(X))=>(patient(X)&brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~curious(lucy)|quiet(lucy))))&... | calm(john) | [] | null | 0 |
Everyone who is both curious and not curious is both not rich and brave. If john is not old then someone is both rich and not funny and vice versa. If susan is either not wise or funny then someone is either not strong or generous and vice versa. Everyone who is not kind is either not strong or not calm and vice versa.... | Susan is tall. | entailment | (![X]:((curious(X)&~curious(X))=>(~rich(X)&brave(X))))&
((~old(john))<=>(?[X]:((rich(X)&~funny(X)))))&
(((~wise(susan)<~>funny(susan)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(~kind(X)<=>(~strong(X)<~>~calm(X))))&
(![X]:(~calm(X)=>humble(X)))&
(![X]:((~patient(X)&patient(X))<=>~tall(X)))&
(![X]:((patient(X)|happ... | tall(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1411719695293294082952942
% SZS output start Proof for 1411719695293294082952942
6. ! [X0] : ((patient(X0) & ~patient(X0)) <=> ~tall(X0)) [input p5]
24. ~tall(susan) [input hypothesis]
44. ! [X0] : (((patient(X0) & ~patient(X0)) | tall(X0)) & (~tall(X0) | (~patient(X0) | patient(X0)))) [n... | 0 |
Everyone who is both not funny and not calm is not rich.
Everyone who is not creative or funny is either not brave or funny and vice versa.
If someone is both brave and funny then alice is funny or not humble and vice versa.
Everyone who is not happy or wise is either not calm or not tall and vice versa.
If john is bot... | Mary is not strong. | contradiction | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((~creative(X)|funny(X))<=>(~brave(X)<~>funny(X))))&
((?[X]:((brave(X)&funny(X))))<=>((funny(alice)|~humble(alice))))&
(![X]:((~happy(X)|wise(X))<=>(~calm(X)<~>~tall(X))))&
(((~wise(john)&funny(john)))<=>((~strong(susan)<~>~kind(susan))))&
((?[X]:((generous(X)|~kind(X))))=... | ~strong(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 495307142530940486165665
% SZS output start Proof for 495307142530940486165665
13. ! [X0] : ((~strong(X0) | creative(X0)) <=> (strong(X0) & ~calm(X0))) [input p12]
24. ~strong(mary) [input hypothesis]
56. ! [X0] : (((~strong(X0) | creative(X0)) | (~strong(X0) | calm(X0))) & ((strong(X0) &... | 0 |
If someone is either happy or not old then someone is not quiet and vice versa. If lucy is not old or brave then paul is both brave and not humble. If someone is both not curious and strong then lucy is not tall or not rich. Everyone who is strong or brave is old or strong. Everyone who is either humble or kind is eith... | Lucy is not tall. | neutral | ((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:(~quiet(X))))&
(((~old(lucy)|brave(lucy)))=>((brave(paul)&~humble(paul))))&
((?[X]:((~curious(X)&strong(X))))=>((~tall(lucy)|~rich(lucy))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>... | ~tall(lucy) | [] | null | 0 |
Everyone who is happy is both funny and not brave. Everyone who is curious or not quiet is not quiet and vice versa. If someone is both not old and not creative then someone is both quiet and happy. Everyone who is patient is both not tall and wise. If alice is either not humble or not quiet then mary is quiet or not o... | Susan is not creative. | neutral | (![X]:(happy(X)=>(funny(X)&~brave(X))))&
(![X]:((curious(X)|~quiet(X))<=>~quiet(X)))&
((?[X]:((~old(X)&~creative(X))))=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:(patient(X)=>(~tall(X)&wise(X))))&
(((~humble(alice)<~>~quiet(alice)))=>((quiet(mary)|~old(mary))))&
((?[X]:((strong(X)&~tall(X))))<=>(?[X]:((humble(X)<~>wise(X)))... | ~creative(susan) | [] | null | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is patient and vice versa. If someone is either not strong or not calm then someone is humble or not patient and vice versa. Everyone who is both not funny and not wise is either funny or not patient. ... | John is creative. | entailment | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(patient(susan)))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((humble(X)|~patient(X)))))&
(![X]:((~funny(X)&~wise(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X... | creative(john) | [
"p0",
"p1",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 752723478684510309916334
% SZS output start Proof for 752723478684510309916334
1. ? [X0] : kind(X0) <=> (generous(john) | ~kind(john)) [input p0]
2. ? [X0] : (quiet(X0) <~> creative(X0)) <=> patient(susan) [input p1]
9. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~quiet(X0)) [input p8]
10. ! [... | 0 |
If mary is both brave and not generous then susan is not kind and vice versa. Everyone who is either brave or rich is either not wise or not quiet. If someone is strong then someone is both not strong and humble and vice versa. If someone is either not happy or not calm then lucy is not humble. Everyone who is both not... | Mary is tall. | contradiction | (((brave(mary)&~generous(mary)))<=>(~kind(susan)))&
(![X]:((brave(X)<~>rich(X))=>(~wise(X)<~>~quiet(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:((~happy(X)<~>~calm(X))))=>(~humble(lucy)))&
(![X]:((~brave(X)&humble(X))<=>(tall(X)<~>kind(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(curious(X)|tall(X))... | tall(mary) | [
"p4",
"p5",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1937779188947307049925258
% SZS output start Proof for 1937779188947307049925258
5. ! [X0] : ((humble(X0) & ~brave(X0)) <=> (tall(X0) <~> kind(X0))) [input p4]
6. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> (tall(X0) | curious(X0))) [input p5]
12. ! [X0] : ((curious(X0) & ~wise(X0)) <=> (~hum... | 0 |
If someone is both creative and happy then someone is both not rich and not funny and vice versa.
Everyone who is quiet is not generous.
Everyone who is both creative and rich is either not rich or curious.
Everyone who is creative is either not old or funny and vice versa.
If someone is patient or not quiet then john ... | Alice is quiet. | contradiction | ((?[X]:((creative(X)&happy(X))))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:(quiet(X)=>~generous(X)))&
(![X]:((creative(X)&rich(X))=>(~rich(X)<~>curious(X))))&
(![X]:(creative(X)<=>(~old(X)<~>funny(X))))&
((?[X]:((patient(X)|~quiet(X))))<=>((curious(john)<~>~humble(john))))&
((?[X]:((~rich(X)|generous(X))))=>(generous(ali... | quiet(alice) | [
"p1",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6918534722909662059523436
% SZS output start Proof for 6918534722909662059523436
2. ! [X0] : (quiet(X0) => ~generous(X0)) [input p1]
6. ? [X0] : (generous(X0) | ~rich(X0)) => generous(alice) [input p5]
20. ~rich(paul) [input p19]
24. quiet(alice) [input hypothesis]
29. ! [X0] : (~generous... | 0 |
Everyone who is generous or not generous is either not rich or old. Everyone who is either humble or kind is both not curious and not funny and vice versa. Everyone who is both not curious and not strong is not old and vice versa. If someone is tall or not patient then someone is both not strong and not wise. Everyone ... | Mary is wise. | contradiction | (![X]:((generous(X)|~generous(X))=>(~rich(X)<~>old(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~curious(X)&~funny(X))))&
(![X]:((~curious(X)&~strong(X))<=>~old(X)))&
((?[X]:((tall(X)|~patient(X))))=>(?[X]:((~strong(X)&~wise(X)))))&
(![X]:((~curious(X)&~calm(X))<=>~creative(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)|kind(X)... | wise(mary) | [
"p1",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5075661905594818348915848
% SZS output start Proof for 5075661905594818348915848
2. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (~funny(X0) & ~curious(X0))) [input p1]
9. ! [X0] : (humble(X0) => (brave(X0) & kind(X0))) [input p8]
10. ! [X0] : (tall(X0) <=> (~curious(X0) & ~tall(X0))) [input p... | 0 |
Everyone who is either generous or not wise is both not humble and quiet.
Everyone who is either not generous or not quiet is both patient and calm and vice versa.
Everyone who is not patient is both brave and generous and vice versa.
Everyone who is either quiet or not generous is either not funny or not quiet.
If pau... | Paul is not calm. | neutral | (![X]:((generous(X)<~>~wise(X))=>(~humble(X)&quiet(X))))&
(![X]:((~generous(X)<~>~quiet(X))<=>(patient(X)&calm(X))))&
(![X]:(~patient(X)<=>(brave(X)&generous(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(~funny(X)<~>~quiet(X))))&
(((~funny(paul)&calm(paul)))=>((quiet(paul)|~calm(paul))))&
(![X]:((patient(X)|kind(X))=>(~cur... | ~calm(paul) | [] | null | 0 |
If lucy is either humble or not happy then someone is either rich or strong. Everyone who is both not calm and patient is both generous and not quiet and vice versa. If someone is not funny then john is happy or kind. Everyone who is both not calm and happy is either not calm or not wise. If paul is not generous or ric... | Paul is happy. | contradiction | (((humble(lucy)<~>~happy(lucy)))=>(?[X]:((rich(X)<~>strong(X)))))&
(![X]:((~calm(X)&patient(X))<=>(generous(X)&~quiet(X))))&
((?[X]:(~funny(X)))=>((happy(john)|kind(john))))&
(![X]:((~calm(X)&happy(X))=>(~calm(X)<~>~wise(X))))&
(((~generous(paul)|rich(paul)))=>((kind(fred)&wise(fred))))&
(![X]:(brave(X)<=>(rich(X)<~>~h... | happy(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8358395410319826095790489
% SZS output start Proof for 8358395410319826095790489
17. ~happy(paul) & ~funny(paul) [input p16]
25. happy(paul) [input hypothesis]
135. ~happy(paul) [cnf transformation 17]
149. happy(paul) [cnf transformation 25]
355. $false [subsumption resolution 149,135]
%... | 0 |
Everyone who is both not wise and kind is both brave and not strong.
Everyone who is both not old and quiet is not quiet or happy and vice versa.
Everyone who is tall is not tall.
Everyone who is both not brave and tall is not happy or not humble and vice versa.
Everyone who is not old is generous.
If fred is either ol... | Susan is patient. | neutral | (![X]:((~wise(X)&kind(X))=>(brave(X)&~strong(X))))&
(![X]:((~old(X)&quiet(X))<=>(~quiet(X)|happy(X))))&
(![X]:(tall(X)=>~tall(X)))&
(![X]:((~brave(X)&tall(X))<=>(~happy(X)|~humble(X))))&
(![X]:(~old(X)=>generous(X)))&
(((old(fred)<~>~calm(fred)))=>((~tall(mary)<~>happy(mary))))&
(![X]:((humble(X)&funny(X))=>(creative(X... | patient(susan) | [] | null | 0 |
If someone is not tall or happy then someone is both quiet and funny.
If someone is either brave or not old then someone is not quiet and vice versa.
Everyone who is funny is both rich and calm.
Everyone who is both humble and happy is not rich.
Everyone who is old is not strong or not happy.
Everyone who is not happy ... | John is not funny. | entailment | ((?[X]:((~tall(X)|happy(X))))=>(?[X]:((quiet(X)&funny(X)))))&
((?[X]:((brave(X)<~>~old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(rich(X)<~>happy(X))))&
(![X]:((creative(X)|humble(X))<=>(~old(X)... | ~funny(john) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 745198424025449730465918
% SZS output start Proof for 745198424025449730465918
3. ! [X0] : (funny(X0) => (calm(X0) & rich(X0))) [input p2]
4. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p3]
6. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p5]
7. ! [X0] : ((humble(X... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both not curious and not happy is either patient or generous.
If someone is either brave or not brave then fred is either not patient or rich and vice versa.
If su... | Lucy is calm. | entailment | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((~curious(X)&~happy(X))=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fred))))&
(((~brave(susan)<~>~wise(susan)))=>((~humble(john)&humble(john))))&
(![X]:((old(X)&calm(X))... | calm(lucy) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3845891101648049433781525
% SZS output start Proof for 3845891101648049433781525
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
5. (~brave(susan) <~> ~wise(susan)) => (humble(john) & ~humble(john)) [input p4]
12. ? [X0] : ~calm(X0) <=> (~patient(susan) & ~br... | 0 |
Everyone who is either generous or not strong is either not kind or kind and vice versa.
If someone is either happy or not patient then someone is tall or funny.
Everyone who is not wise or not curious is generous and vice versa.
Everyone who is both not humble and not creative is both tall and not brave and vice versa... | Lucy is not humble. | entailment | (![X]:((generous(X)<~>~strong(X))<=>(~kind(X)<~>kind(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~wise(X)|~curious(X))<=>generous(X)))&
(![X]:((~humble(X)&~creative(X))<=>(tall(X)&~brave(X))))&
((~rich(lucy))=>((~funny(mary)<~>~generous(mary))))&
((?[X]:(happy(X)))=>(?[X]:((brave(X)... | ~humble(lucy) | [
"p0",
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2100096480807985364508638
% SZS output start Proof for 2100096480807985364508638
1. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (~kind(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((~curious(X0) | ~wise(X0)) <=> generous(X0)) [input p2]
12. ! [X0] : ((~curious(X0) | wise(X0)) => (strong(X0)... | 0 |
Everyone who is not wise is both kind and not funny and vice versa. Everyone who is both creative and kind is both not kind and not wise. Everyone who is both funny and not tall is either not kind or not strong and vice versa. Everyone who is either happy or kind is not strong or not wise. Everyone who is either old or... | Paul is funny. | contradiction | (![X]:(~wise(X)<=>(kind(X)&~funny(X))))&
(![X]:((creative(X)&kind(X))=>(~kind(X)&~wise(X))))&
(![X]:((funny(X)&~tall(X))<=>(~kind(X)<~>~strong(X))))&
(![X]:((happy(X)<~>kind(X))=>(~strong(X)|~wise(X))))&
(![X]:((old(X)<~>funny(X))=>(~kind(X)&strong(X))))&
(![X]:((~old(X)|strong(X))<=>(calm(X)<~>old(X))))&
(![X]:((rich(... | funny(paul) | [
"p5",
"p12",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 751868194221897961840979
% SZS output start Proof for 751868194221897961840979
6. ! [X0] : ((strong(X0) | ~old(X0)) <=> (calm(X0) <~> old(X0))) [input p5]
13. ? [X0] : (~strong(X0) <~> ~creative(X0)) <=> ~funny(paul) [input p12]
23. wise(susan) & ~creative(susan) [input p22]
24. ~calm(sus... | 0 |
Everyone who is either patient or not curious is quiet or not wise.
Everyone who is not creative or creative is kind or humble.
If susan is both not quiet and creative then mary is both kind and not curious and vice versa.
If someone is both not creative and not old then someone is not old.
Everyone who is both not gen... | Paul is not tall. | neutral | (![X]:((patient(X)<~>~curious(X))=>(quiet(X)|~wise(X))))&
(![X]:((~creative(X)|creative(X))=>(kind(X)|humble(X))))&
(((~quiet(susan)&creative(susan)))<=>((kind(mary)&~curious(mary))))&
((?[X]:((~creative(X)&~old(X))))=>(?[X]:(~old(X))))&
(![X]:((~generous(X)&tall(X))=>wise(X)))&
(![X]:((~funny(X)<~>strong(X))<=>(~calm(... | ~tall(paul) | [] | null | 0 |
If fred is kind or brave then alice is either not wise or not patient. Everyone who is wise is not strong and vice versa. Everyone who is both creative and rich is both not tall and kind and vice versa. If john is calm then fred is strong. Everyone who is not quiet is both quiet and not wise and vice versa. Everyone wh... | Paul is not tall. | neutral | (((kind(fred)|brave(fred)))=>((~wise(alice)<~>~patient(alice))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((creative(X)&rich(X))<=>(~tall(X)&kind(X))))&
((calm(john))=>(strong(fred)))&
(![X]:(~quiet(X)<=>(quiet(X)&~wise(X))))&
(![X]:((~kind(X)<~>happy(X))=>(rich(X)<~>happy(X))))&
(![X]:(rich(X)=>(~calm(X)|strong(X))))&
(!... | ~tall(paul) | [] | null | 0 |
Everyone who is not tall is both patient and strong and vice versa.
Everyone who is not calm is either not tall or not creative and vice versa.
If someone is not calm then someone is both old and not happy.
Everyone who is both patient and not calm is both not funny and not kind.
If paul is both quiet and not tall then... | Paul is not old. | entailment | (![X]:(~tall(X)<=>(patient(X)&strong(X))))&
(![X]:(~calm(X)<=>(~tall(X)<~>~creative(X))))&
((?[X]:(~calm(X)))=>(?[X]:((old(X)&~happy(X)))))&
(![X]:((patient(X)&~calm(X))=>(~funny(X)&~kind(X))))&
(((quiet(paul)&~tall(paul)))=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((~rich(X)&~happy(X))<=>(~strong(X)<~>humble(X))))&
(![X... | ~old(paul) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 24480306272967051752361
% SZS output start Proof for 24480306272967051752361
11. ~calm(paul) <=> ~curious(paul) [input p10]
13. ! [X0] : ((old(X0) | ~calm(X0)) <=> (~calm(X0) & curious(X0))) [input p12]
24. old(paul) [input hypothesis]
60. (~calm(paul) | curious(paul)) & (~curious(paul) |... | 0 |
If someone is either not kind or not humble then paul is not generous or not rich and vice versa. Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. If fred is both funny and humble then fred is creative... | John is funny. | entailment | ((?[X]:((~kind(X)<~>~humble(X))))<=>((~generous(paul)|~rich(paul))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~c... | funny(john) | [
"p1",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5867901847119246334791429
% SZS output start Proof for 5867901847119246334791429
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
8. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> generous(X0)) [input p7]
9. ? [X0] : tall(X0) <=> ? [X0] : ~funny(X0) [input p8]
12... | 0 |
If someone is either not kind or strong then mary is both brave and not calm and vice versa.
Everyone who is both not happy and not tall is rich or tall and vice versa.
If someone is strong or patient then someone is either not rich or creative and vice versa.
Everyone who is not humble is not funny.
Everyone who is bo... | Mary is humble. | entailment | ((?[X]:((~kind(X)<~>strong(X))))<=>((brave(mary)&~calm(mary))))&
(![X]:((~happy(X)&~tall(X))<=>(rich(X)|tall(X))))&
((?[X]:((strong(X)|patient(X))))<=>(?[X]:((~rich(X)<~>creative(X)))))&
(![X]:(~humble(X)=>~funny(X)))&
(![X]:((~curious(X)&~happy(X))=>generous(X)))&
(![X]:((rich(X)|generous(X))=>strong(X)))&
(![X]:(~kin... | humble(mary) | [
"p1",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 841740308920691559992004
% SZS output start Proof for 841740308920691559992004
2. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (tall(X0) | rich(X0))) [input p1]
12. ! [X0] : ((~happy(X0) <~> ~humble(X0)) <=> (~brave(X0) & ~kind(X0))) [input p11]
14. ! [X0] : ((~humble(X0) | kind(X0)) => (tall(X... | 0 |
If john is wise then someone is not strong or not calm and vice versa.
If someone is brave or creative then someone is not strong and vice versa.
Everyone who is not curious or tall is either humble or kind and vice versa.
If someone is tall or creative then someone is both not humble and not calm and vice versa.
If lu... | John is not wise. | contradiction | ((wise(john))<=>(?[X]:((~strong(X)|~calm(X)))))&
((?[X]:((brave(X)|creative(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)|tall(X))<=>(humble(X)<~>kind(X))))&
((?[X]:((tall(X)|creative(X))))<=>(?[X]:((~humble(X)&~calm(X)))))&
(((~humble(lucy)&patient(lucy)))<=>((~strong(mary)<~>patient(mary))))&
((brave(alice))=>(?[... | ~wise(john) | [
"p0",
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1116857682457503974692237
% SZS output start Proof for 1116857682457503974692237
1. wise(john) <=> ? [X0] : (~calm(X0) | ~strong(X0)) [input p0]
2. ? [X0] : (creative(X0) | brave(X0)) <=> ? [X0] : ~strong(X0) [input p1]
17. humble(paul) & brave(paul) [input p16]
25. ~wise(john) [input hyp... | 0 |
Everyone who is both kind and old is both old and not kind and vice versa.
Everyone who is both quiet and patient is either not generous or happy.
Everyone who is either not patient or not curious is both curious and not generous.
Everyone who is not happy or happy is funny and vice versa.
If someone is both not creati... | Alice is not curious. | neutral | (![X]:((kind(X)&old(X))<=>(old(X)&~kind(X))))&
(![X]:((quiet(X)&patient(X))=>(~generous(X)<~>happy(X))))&
(![X]:((~patient(X)<~>~curious(X))=>(curious(X)&~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>funny(X)))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(((~kind(paul)&~strong(paul)))<=>... | ~curious(alice) | [] | null | 0 |
If susan is not generous or patient then someone is both calm and funny and vice versa. Everyone who is both creative and funny is creative or not curious. If someone is not patient then john is not happy. Everyone who is not generous or not tall is strong and vice versa. If mary is either happy or not wise then mary i... | Mary is happy. | neutral | (((~generous(susan)|patient(susan)))<=>(?[X]:((calm(X)&funny(X)))))&
(![X]:((creative(X)&funny(X))=>(creative(X)|~curious(X))))&
((?[X]:(~patient(X)))=>(~happy(john)))&
(![X]:((~generous(X)|~tall(X))<=>strong(X)))&
(((happy(mary)<~>~wise(mary)))<=>((patient(mary)|~quiet(mary))))&
(![X]:((happy(X)|patient(X))=>(patient(... | happy(mary) | [] | null | 0 |
Everyone who is not creative or not kind is creative. Everyone who is both quiet and tall is both not quiet and creative. Everyone who is patient or not patient is rich and vice versa. Everyone who is humble is both funny and not funny and vice versa. Everyone who is generous is kind or not brave. Everyone who is both ... | Paul is not patient. | neutral | (![X]:((~creative(X)|~kind(X))=>creative(X)))&
(![X]:((quiet(X)&tall(X))=>(~quiet(X)&creative(X))))&
(![X]:((patient(X)|~patient(X))<=>rich(X)))&
(![X]:(humble(X)<=>(funny(X)&~funny(X))))&
(![X]:(generous(X)=>(kind(X)|~brave(X))))&
(![X]:((wise(X)&~rich(X))<=>(~calm(X)|~generous(X))))&
((generous(susan))<=>(?[X]:((tall... | ~patient(paul) | [] | null | 0 |
Everyone who is both calm and not happy is either patient or not patient and vice versa.
If someone is creative or not tall then lucy is either not happy or funny.
Everyone who is creative or not funny is both not strong and kind.
If someone is either funny or humble then someone is both not curious and generous and vi... | Lucy is not humble. | entailment | (![X]:((calm(X)&~happy(X))<=>(patient(X)<~>~patient(X))))&
((?[X]:((creative(X)|~tall(X))))=>((~happy(lucy)<~>funny(lucy))))&
(![X]:((creative(X)|~funny(X))=>(~strong(X)&kind(X))))&
((?[X]:((funny(X)<~>humble(X))))<=>(?[X]:((~curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(rich(X)<~>strong(X))))&
(![X]:(kind(X)<=>(~ric... | ~humble(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7889234941000972662760978
% SZS output start Proof for 7889234941000972662760978
1. ! [X0] : ((~happy(X0) & calm(X0)) <=> (patient(X0) <~> ~patient(X0))) [input p0]
2. ? [X0] : (~tall(X0) | creative(X0)) => (~happy(lucy) <~> funny(lucy)) [input p1]
3. ! [X0] : ((~funny(X0) | creative(X0))... | 0 |
If mary is both strong and old then someone is curious.
Everyone who is kind is happy.
Everyone who is both not funny and creative is not creative and vice versa.
Everyone who is either not funny or not rich is either strong or not funny and vice versa.
If someone is either kind or not wise then susan is either not hap... | Fred is funny. | entailment | (((strong(mary)&old(mary)))=>(?[X]:(curious(X))))&
(![X]:(kind(X)=>happy(X)))&
(![X]:((~funny(X)&creative(X))<=>~creative(X)))&
(![X]:((~funny(X)<~>~rich(X))<=>(strong(X)<~>~funny(X))))&
((?[X]:((kind(X)<~>~wise(X))))=>((~happy(susan)<~>creative(susan))))&
(![X]:(~curious(X)=>(brave(X)|~calm(X))))&
(![X]:((funny(X)&qui... | funny(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4873849280742233118179024
% SZS output start Proof for 4873849280742233118179024
3. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~creative(X0)) [input p2]
25. ~funny(fred) [input hypothesis]
42. ! [X0] : (((creative(X0) & ~funny(X0)) | creative(X0)) & (~creative(X0) | (~creative(X0) | funny(... | 0 |
If someone is both not rich and happy then someone is either strong or not rich.
If someone is either not calm or not strong then someone is brave.
If mary is either not creative or not generous then paul is not creative or not quiet and vice versa.
Everyone who is wise is calm or curious and vice versa.
If someone is ... | Alice is brave. | contradiction | ((?[X]:((~rich(X)&happy(X))))=>(?[X]:((strong(X)<~>~rich(X)))))&
((?[X]:((~calm(X)<~>~strong(X))))=>(?[X]:(brave(X))))&
(((~creative(mary)<~>~generous(mary)))<=>((~creative(paul)|~quiet(paul))))&
(![X]:(wise(X)<=>(calm(X)|curious(X))))&
((?[X]:((happy(X)&~kind(X))))<=>((kind(alice)<~>~generous(alice))))&
(![X]:((~curio... | brave(alice) | [
"p10",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 222744812502595093182558
% SZS output start Proof for 222744812502595093182558
11. ! [X0] : ((kind(X0) & generous(X0)) <=> ~generous(X0)) [input p10]
13. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (~creative(X0) <~> ~brave(X0))) [input p12]
14. ! [X0] : (~quiet(X0) => (brave(X0) <~> generou... | 0 |
Everyone who is either funny or not kind is old or not wise and vice versa.
Everyone who is both not curious and not quiet is either not patient or brave.
Everyone who is either not kind or not patient is either not rich or old.
If someone is not happy then someone is either not curious or wise.
Everyone who is both no... | Paul is not funny. | contradiction | (![X]:((funny(X)<~>~kind(X))<=>(old(X)|~wise(X))))&
(![X]:((~curious(X)&~quiet(X))=>(~patient(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~patient(X))=>(~rich(X)<~>old(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((~creative(X)&kind(X))<=>~humble(X)))&
(![X]:((brave(X)<~>~happy(X))<=>(~tall(X)|humble(X... | ~funny(paul) | [
"p0",
"p2",
"p4",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7609265903812473485400377
% SZS output start Proof for 7609265903812473485400377
1. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~wise(X0) | old(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> ~patient(X0)) => (~rich(X0) <~> old(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~creative(X0)) <=> ~humbl... | 0 |
Everyone who is either not brave or not strong is both quiet and not strong and vice versa.
Everyone who is strong is either not rich or not happy.
Everyone who is strong or not humble is not patient.
Everyone who is strong is not creative or humble and vice versa.
Everyone who is not strong or happy is both funny and ... | Susan is not wise. | contradiction | (![X]:((~brave(X)<~>~strong(X))<=>(quiet(X)&~strong(X))))&
(![X]:(strong(X)=>(~rich(X)<~>~happy(X))))&
(![X]:((strong(X)|~humble(X))=>~patient(X)))&
(![X]:(strong(X)<=>(~creative(X)|humble(X))))&
(![X]:((~strong(X)|happy(X))=>(funny(X)&~patient(X))))&
((?[X]:(~quiet(X)))=>(curious(mary)))&
(((~generous(mary)<~>patient(... | ~wise(susan) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4162301849315232038135573
% SZS output start Proof for 4162301849315232038135573
1. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> (~strong(X0) & quiet(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | strong(X0)) => ~patient(X0)) [input p2]
5. ! [X0] : ((happy(X0) | ~strong(X0)) => (~patient(X0) ... | 0 |
Everyone who is not calm or not curious is tall or not tall.
Everyone who is either not old or humble is either humble or calm.
If someone is both not tall and not curious then susan is both not strong and happy.
If fred is not brave or not kind then someone is either tall or quiet.
Everyone who is not generous or not ... | Fred is not kind. | neutral | (![X]:((~calm(X)|~curious(X))=>(tall(X)|~tall(X))))&
(![X]:((~old(X)<~>humble(X))=>(humble(X)<~>calm(X))))&
((?[X]:((~tall(X)&~curious(X))))=>((~strong(susan)&happy(susan))))&
(((~brave(fred)|~kind(fred)))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:((~generous(X)|~curious(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)|~q... | ~kind(fred) | [] | null | 0 |
Everyone who is not wise is both not strong and not humble. If fred is both funny and not creative then susan is not strong and vice versa. If someone is either quiet or tall then someone is either old or not strong and vice versa. If someone is not strong then someone is not curious and vice versa. Everyone who is qui... | Alice is not patient. | entailment | (![X]:(~wise(X)=>(~strong(X)&~humble(X))))&
(((funny(fred)&~creative(fred)))<=>(~strong(susan)))&
((?[X]:((quiet(X)<~>tall(X))))<=>(?[X]:((old(X)<~>~strong(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:(~curious(X))))&
(![X]:((quiet(X)|tall(X))<=>(generous(X)&~strong(X))))&
(![X]:((calm(X)|~wise(X))<=>(~patient(X)<~>~quiet(X)))... | ~patient(alice) | [
"p6",
"p7",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2774448850233180362191415
% SZS output start Proof for 2774448850233180362191415
7. ! [X0] : (~creative(X0) => (old(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((~patient(X0) <~> ~kind(X0)) <=> (~quiet(X0) <~> old(X0))) [input p7]
12. ! [X0] : (~kind(X0) => ~old(X0)) [input p11]
13. ! [X0] :... | 0 |
Everyone who is either kind or not old is either curious or not rich. If someone is not old or not curious then lucy is either strong or tall and vice versa. If john is calm then someone is either patient or not tall and vice versa. Everyone who is both not funny and not old is both not curious and rich. If someone is ... | Paul is humble. | contradiction | (![X]:((kind(X)<~>~old(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~old(X)|~curious(X))))<=>((strong(lucy)<~>tall(lucy))))&
((calm(john))<=>(?[X]:((patient(X)<~>~tall(X)))))&
(![X]:((~funny(X)&~old(X))=>(~curious(X)&rich(X))))&
((?[X]:((~quiet(X)<~>~old(X))))<=>(?[X]:((wise(X)|kind(X)))))&
(![X]:((happy(X)&~patient(X))<=>... | humble(paul) | [
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 802564408919236137932726
% SZS output start Proof for 802564408919236137932726
14. ! [X0] : (~old(X0) <=> (~curious(X0) | ~brave(X0))) [input p13]
16. ! [X0] : (~old(X0) <=> (funny(X0) & ~humble(X0))) [input p15]
20. kind(paul) & ~brave(paul) [input p19]
25. humble(paul) [input hypothesis... | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Lucy is generous. | neutral | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | generous(lucy) | [] | null | 0 |
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or not old is not calm or not strong.
If alice is either not strong or old then someone is both not funny and not wise and vice versa.
Everyone who is not kind or not wise is not tall or not old and vice versa.
Everyone who is b... | Susan is old. | contradiction | (![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((~kind(X)|~wise(X))<=>(~tall(X)|~old(X))))&
(![X]:((humble(X)&generous(X))<=>(~generous(X)|creative(X))))&
(![X]:((old(X)<~>creative(X))=>(~gener... | old(susan) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5910546673226035402770351
% SZS output start Proof for 5910546673226035402770351
1. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p0]
3. (~strong(alice) <~> old(alice)) <=> ? [X0] : (~wise(X0) & ~funny(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> (~old(X0) | ~t... | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | John is quiet. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | quiet(john) | [
"p2",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2404452586405804701400736
% SZS output start Proof for 2404452586405804701400736
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
Everyone who is not curious or not patient is both brave and not rich.
If susan is both not humble and generous then alice is either not old or not tall.
Everyone who is not patient or not rich is generous and vice versa.
If someone is funny then someone is calm.
Everyone who is both rich and old is generous or not bra... | Alice is rich. | entailment | (![X]:((~curious(X)|~patient(X))=>(brave(X)&~rich(X))))&
(((~humble(susan)&generous(susan)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((~patient(X)|~rich(X))<=>generous(X)))&
((?[X]:(funny(X)))=>(?[X]:(calm(X))))&
(![X]:((rich(X)&old(X))<=>(generous(X)|~brave(X))))&
((?[X]:(~creative(X)))<=>((~generous(lucy)|~creative(l... | rich(alice) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7980588659242627274625691
% SZS output start Proof for 7980588659242627274625691
1. ! [X0] : ((~patient(X0) | ~curious(X0)) => (~rich(X0) & brave(X0))) [input p0]
3. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> generous(X0)) [input p2]
5. ! [X0] : ((old(X0) & rich(X0)) <=> (~brave(X0) | gener... | 0 |
If paul is both quiet and rich then john is both not humble and not wise.
Everyone who is not patient is kind or not humble.
Everyone who is curious is either not old or old and vice versa.
If alice is either not happy or generous then someone is humble or not brave and vice versa.
If fred is not patient then someone i... | John is not patient. | entailment | (((quiet(paul)&rich(paul)))=>((~humble(john)&~wise(john))))&
(![X]:(~patient(X)=>(kind(X)|~humble(X))))&
(![X]:(curious(X)<=>(~old(X)<~>old(X))))&
(((~happy(alice)<~>generous(alice)))<=>(?[X]:((humble(X)|~brave(X)))))&
((~patient(fred))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((~curious(X)&quiet(X))<=>(happy(X)<~>~... | ~patient(john) | [
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 53949102212923217293892
% SZS output start Proof for 53949102212923217293892
3. ! [X0] : (curious(X0) <=> (~old(X0) <~> old(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p5]
14. ? [X0] : (~happy(X0) & ~tall(X0)) <=> patient(john) [input p13... | 0 |
Everyone who is funny or creative is either creative or old.
Everyone who is both curious and not rich is not funny or humble.
Everyone who is not happy is both not patient and not brave.
Everyone who is humble or kind is either creative or not curious and vice versa.
If alice is not humble then someone is both not old... | Lucy is not brave. | entailment | (![X]:((funny(X)|creative(X))=>(creative(X)<~>old(X))))&
(![X]:((curious(X)&~rich(X))=>(~funny(X)|humble(X))))&
(![X]:(~happy(X)=>(~patient(X)&~brave(X))))&
(![X]:((humble(X)|kind(X))<=>(creative(X)<~>~curious(X))))&
((~humble(alice))<=>(?[X]:((~old(X)&generous(X)))))&
((?[X]:((~tall(X)&~patient(X))))<=>((~creative(luc... | ~brave(lucy) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 850813982470654128350320
% SZS output start Proof for 850813982470654128350320
3. ! [X0] : (~happy(X0) => (~brave(X0) & ~patient(X0))) [input p2]
10. ! [X0] : (happy(X0) => strong(X0)) [input p9]
12. ! [X0] : (~strong(X0) <=> (strong(X0) & happy(X0))) [input p11]
21. brave(lucy) [input hy... | 0 |
Everyone who is not strong is not funny or creative.
If john is not rich then lucy is not creative or not tall.
Everyone who is generous is quiet and vice versa.
If someone is either not quiet or not wise then john is calm or not kind.
Everyone who is either not funny or creative is not generous and vice versa.
Everyon... | Paul is not quiet. | contradiction | (![X]:(~strong(X)=>(~funny(X)|creative(X))))&
((~rich(john))=>((~creative(lucy)|~tall(lucy))))&
(![X]:(generous(X)<=>quiet(X)))&
((?[X]:((~quiet(X)<~>~wise(X))))=>((calm(john)|~kind(john))))&
(![X]:((~funny(X)<~>creative(X))<=>~generous(X)))&
(![X]:((tall(X)&~rich(X))<=>old(X)))&
(![X]:(~wise(X)<=>(rich(X)&~quiet(X))))... | ~quiet(paul) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3601919446767914638786130
% SZS output start Proof for 3601919446767914638786130
3. ! [X0] : (generous(X0) <=> quiet(X0)) [input p2]
9. ! [X0] : (generous(X0) <=> (quiet(X0) | ~generous(X0))) [input p8]
25. ~quiet(paul) [input hypothesis]
39. ! [X0] : ((generous(X0) | ~quiet(X0)) & (quiet... | 0 |
If someone is not strong or not calm then john is both brave and calm.
If paul is not humble then john is not wise or not creative.
Everyone who is both not humble and not creative is not brave or not rich.
Everyone who is either not quiet or kind is curious or not brave.
Everyone who is brave is not quiet or patient a... | Lucy is curious. | entailment | ((?[X]:((~strong(X)|~calm(X))))=>((brave(john)&calm(john))))&
((~humble(paul))=>((~wise(john)|~creative(john))))&
(![X]:((~humble(X)&~creative(X))=>(~brave(X)|~rich(X))))&
(![X]:((~quiet(X)<~>kind(X))=>(curious(X)|~brave(X))))&
(![X]:(brave(X)<=>(~quiet(X)|patient(X))))&
(![X]:((quiet(X)&~happy(X))=>(~generous(X)|old(X... | curious(lucy) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7051938767465739175503528
% SZS output start Proof for 7051938767465739175503528
4. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (~brave(X0) | curious(X0))) [input p3]
5. ! [X0] : (brave(X0) <=> (patient(X0) | ~quiet(X0))) [input p4]
7. ? [X0] : ~rich(X0) <=> ? [X0] : (~brave(X0) & ~quiet(X0)) ... | 0 |
Everyone who is patient is not strong or not curious and vice versa. If someone is creative or not humble then someone is either old or not happy and vice versa. Everyone who is either not curious or not funny is curious or not humble and vice versa. If someone is either not brave or strong then someone is both not cal... | Mary is strong. | neutral | (![X]:(patient(X)<=>(~strong(X)|~curious(X))))&
((?[X]:((creative(X)|~humble(X))))<=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((~curious(X)<~>~funny(X))<=>(curious(X)|~humble(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>~humble(X))=>(~tall(X)|kind(X))))&
((?[X]:((quiet(X)<~... | strong(mary) | [] | null | 0 |
If someone is not funny or old then someone is either generous or not curious.
Everyone who is curious or not quiet is not calm or not happy and vice versa.
If someone is either not generous or kind then someone is either old or calm.
Everyone who is not generous is old.
Everyone who is not kind or kind is not happy an... | Fred is not kind. | entailment | ((?[X]:((~funny(X)|old(X))))=>(?[X]:((generous(X)<~>~curious(X)))))&
(![X]:((curious(X)|~quiet(X))<=>(~calm(X)|~happy(X))))&
((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:((old(X)<~>calm(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~kind(X)|kind(X))<=>~happy(X)))&
(((humble(paul)|happy(paul)))<=>((old(john)|~patient(john... | ~kind(fred) | [
"p1",
"p4",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8741912296124970254961264
% SZS output start Proof for 8741912296124970254961264
2. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (~happy(X0) | ~calm(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~kind(X0)) <=> ~happy(X0)) [input p4]
7. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> (tall(X0) & ~kind(X0))... | 0 |
If alice is either not creative or tall then susan is either not creative or not generous and vice versa.
Everyone who is generous or not happy is both not curious and not funny.
If someone is rich or not humble then someone is humble or calm.
If john is either not old or wise then susan is not rich or not calm.
Everyo... | John is not kind. | entailment | (((~creative(alice)<~>tall(alice)))<=>((~creative(susan)<~>~generous(susan))))&
(![X]:((generous(X)|~happy(X))=>(~curious(X)&~funny(X))))&
((?[X]:((rich(X)|~humble(X))))=>(?[X]:((humble(X)|calm(X)))))&
(((~old(john)<~>wise(john)))=>((~rich(susan)|~calm(susan))))&
(![X]:((~strong(X)<~>~patient(X))=>(creative(X)<~>genero... | ~kind(john) | [
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3524353866085527976352899
% SZS output start Proof for 3524353866085527976352899
7. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> wise(X0)) [input p6]
8. ! [X0] : ((~old(X0) & quiet(X0)) <=> quiet(X0)) [input p7]
9. ! [X0] : ((~kind(X0) | old(X0)) <=> (tall(X0) | ~funny(X0))) [input p8]
12. ! ... | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both kind and not humble then someone is not creative and vice versa.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humbl... | Susan is calm. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((kind(X)&~humble(X))))<=>(?[X]:(~creative(X))))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))... | calm(susan) | [
"p0",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7078074851314279499538176
% SZS output start Proof for 7078074851314279499538176
1. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~brave(X0) & old(X0))) [input p0]
6. ? [X0] : (patient(X0) <~> ~patient(X0)) => (~old(susan) | ~quiet(susan)) [input p5]
13. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> ... | 0 |
Everyone who is either creative or not kind is not quiet or not creative.
Everyone who is happy or not strong is either rich or strong.
If someone is rich then someone is both tall and wise and vice versa.
Everyone who is strong is both not kind and patient and vice versa.
Everyone who is both not quiet and tall is eit... | Mary is not wise. | neutral | (![X]:((creative(X)<~>~kind(X))=>(~quiet(X)|~creative(X))))&
(![X]:((happy(X)|~strong(X))=>(rich(X)<~>strong(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)&wise(X)))))&
(![X]:(strong(X)<=>(~kind(X)&patient(X))))&
(![X]:((~quiet(X)&tall(X))<=>(happy(X)<~>curious(X))))&
(((~funny(mary)&~patient(mary)))=>(?[X]:(~kind(X))))&
(... | ~wise(mary) | [] | null | 0 |
Everyone who is either not quiet or quiet is both wise and tall and vice versa.
If someone is both wise and kind then john is not rich.
If someone is both not strong and quiet then fred is creative or not brave and vice versa.
Everyone who is either not patient or strong is either not quiet or not strong and vice versa... | Fred is not quiet. | contradiction | (![X]:((~quiet(X)<~>quiet(X))<=>(wise(X)&tall(X))))&
((?[X]:((wise(X)&kind(X))))=>(~rich(john)))&
((?[X]:((~strong(X)&quiet(X))))<=>((creative(fred)|~brave(fred))))&
(![X]:((~patient(X)<~>strong(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~humble(X)|~strong(X))=>(~strong(X)<~>~humble(X))))&
(![X]:((creative(X)&~creative(... | ~quiet(fred) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 769003934820989293600115
% SZS output start Proof for 769003934820989293600115
1. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (tall(X0) & wise(X0))) [input p0]
4. ! [X0] : ((~patient(X0) <~> strong(X0)) <=> (~quiet(X0) <~> ~strong(X0))) [input p3]
5. ! [X0] : ((~strong(X0) | ~humble(X0)) => ... | 0 |
Everyone who is generous is patient or not happy and vice versa.
Everyone who is generous is wise and vice versa.
If alice is either creative or calm then someone is both not curious and brave.
If someone is either not generous or strong then john is not rich or funny.
If alice is either curious or not curious then som... | Alice is not calm. | contradiction | (![X]:(generous(X)<=>(patient(X)|~happy(X))))&
(![X]:(generous(X)<=>wise(X)))&
(((creative(alice)<~>calm(alice)))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:((~generous(X)<~>strong(X))))=>((~rich(john)|funny(john))))&
(((curious(alice)<~>~curious(alice)))<=>(?[X]:((~generous(X)|calm(X)))))&
(((curious(alice)|patient(ali... | ~calm(alice) | [
"p0",
"p1",
"p5",
"p7",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6380468398969287457695485
% SZS output start Proof for 6380468398969287457695485
1. ! [X0] : (generous(X0) <=> (~happy(X0) | patient(X0))) [input p0]
2. ! [X0] : (generous(X0) <=> wise(X0)) [input p1]
6. (patient(alice) | curious(alice)) <=> ? [X0] : (funny(X0) & humble(X0)) [input p5]
8.... | 0 |
Everyone who is both not strong and humble is both not humble and not strong and vice versa. Everyone who is creative or patient is both patient and happy. Everyone who is not happy is not creative or not kind and vice versa. If alice is not tall or not creative then someone is both not humble and funny. Everyone who i... | John is not curious. | contradiction | (![X]:((~strong(X)&humble(X))<=>(~humble(X)&~strong(X))))&
(![X]:((creative(X)|patient(X))=>(patient(X)&happy(X))))&
(![X]:(~happy(X)<=>(~creative(X)|~kind(X))))&
(((~tall(alice)|~creative(alice)))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((creative(X)|strong(X))=>(happy(X)&~quiet(X))))&
(((~generous(paul)&tall(paul)))=... | ~curious(john) | [
"p0",
"p2",
"p4",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 259517186794644502437465
% SZS output start Proof for 259517186794644502437465
1. ! [X0] : ((humble(X0) & ~strong(X0)) <=> (~strong(X0) & ~humble(X0))) [input p0]
3. ! [X0] : (~happy(X0) <=> (~kind(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((strong(X0) | creative(X0)) => (~quiet(X0) & ... | 0 |
If mary is either kind or not calm then lucy is either not brave or not calm and vice versa.
If mary is not calm or wise then alice is strong or tall and vice versa.
Everyone who is quiet is not strong.
Everyone who is both not creative and curious is humble or curious and vice versa.
If john is not patient or not quie... | Lucy is not happy. | neutral | (((kind(mary)<~>~calm(mary)))<=>((~brave(lucy)<~>~calm(lucy))))&
(((~calm(mary)|wise(mary)))<=>((strong(alice)|tall(alice))))&
(![X]:(quiet(X)=>~strong(X)))&
(![X]:((~creative(X)&curious(X))<=>(humble(X)|curious(X))))&
(((~patient(john)|~quiet(john)))<=>(?[X]:((~patient(X)|funny(X)))))&
(((calm(susan)&kind(susan)))=>((... | ~happy(lucy) | [] | null | 0 |
Everyone who is not kind or not humble is rich.
Everyone who is happy is both quiet and not calm and vice versa.
If someone is kind then john is both creative and not patient and vice versa.
Everyone who is not old is brave or not tall.
If john is generous then paul is not tall or not kind.
If someone is both wise and ... | Paul is calm. | contradiction | (![X]:((~kind(X)|~humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(quiet(X)&~calm(X))))&
((?[X]:(kind(X)))<=>((creative(john)&~patient(john))))&
(![X]:(~old(X)=>(brave(X)|~tall(X))))&
((generous(john))=>((~tall(paul)|~kind(paul))))&
((?[X]:((wise(X)&~curious(X))))<=>((~funny(susan)|funny(susan))))&
(((~wise(mary)|~patient(mar... | calm(paul) | [
"p1",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8899237569296671704395211
% SZS output start Proof for 8899237569296671704395211
2. ! [X0] : (happy(X0) <=> (~calm(X0) & quiet(X0))) [input p1]
10. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (old(X0) & humble(X0))) [input p9]
12. ! [X0] : ((calm(X0) | ~creative(X0)) => (~humble(X0) & ~rich(X0... | 0 |
If lucy is either humble or wise then mary is either curious or not curious. If mary is either not humble or wise then john is either humble or strong and vice versa. Everyone who is funny or kind is kind and vice versa. If someone is either happy or not old then someone is either not old or not brave and vice versa. E... | Alice is strong. | entailment | (((humble(lucy)<~>wise(lucy)))=>((curious(mary)<~>~curious(mary))))&
(((~humble(mary)<~>wise(mary)))<=>((humble(john)<~>strong(john))))&
(![X]:((funny(X)|kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>... | strong(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6720015994059524722532416
% SZS output start Proof for 6720015994059524722532416
13. ! [X0] : ((~brave(X0) & strong(X0)) <=> ~strong(X0)) [input p12]
23. ~strong(alice) [input hypothesis]
61. ! [X0] : (((~brave(X0) & strong(X0)) | strong(X0)) & (~strong(X0) | (brave(X0) | ~strong(X0)))) [... | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is kind or patient then someone is both rich and happy and vice versa.
If someone is not rich or kind then john is not strong.
If someone is rich then someone is strong or not wise and vice versa.
If mary is curious or not rich then j... | Lucy is not patient. | entailment | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((kind(X)|patient(X))))<=>(?[X]:((rich(X)&happy(X)))))&
((?[X]:((~rich(X)|kind(X))))=>(~strong(john)))&
((?[X]:(rich(X)))<=>(?[X]:((strong(X)|~wise(X)))))&
(((curious(mary)|~rich(mary)))<=>((tall(john)&brave(john))))&
(![X]:((kind(X)&~old(X))=>(patient... | ~patient(lucy) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 775549411305206619264399
% SZS output start Proof for 775549411305206619264399
2. ? [X0] : (patient(X0) | kind(X0)) <=> ? [X0] : (happy(X0) & rich(X0)) [input p1]
7. ! [X0] : ((rich(X0) | kind(X0)) => ~rich(X0)) [input p6]
22. patient(lucy) [input hypothesis]
23. ? [X0] : (patient(X0) | k... | 0 |
Everyone who is funny or not calm is not happy or not wise.
Everyone who is either not calm or creative is humble or generous and vice versa.
If someone is generous then someone is happy or wise.
If someone is either humble or not humble then someone is both kind and not tall and vice versa.
If someone is not rich then... | Lucy is not kind. | contradiction | (![X]:((funny(X)|~calm(X))=>(~happy(X)|~wise(X))))&
(![X]:((~calm(X)<~>creative(X))<=>(humble(X)|generous(X))))&
((?[X]:(generous(X)))=>(?[X]:((happy(X)|wise(X)))))&
((?[X]:((humble(X)<~>~humble(X))))<=>(?[X]:((kind(X)&~tall(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((patient(X)<~>~funny(X))=>~bra... | ~kind(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2466596343789629786882691
% SZS output start Proof for 2466596343789629786882691
8. ! [X0] : (~wise(X0) <=> (wise(X0) & ~kind(X0))) [input p7]
25. ~kind(lucy) [input hypothesis]
57. ! [X0] : ((~wise(X0) | (~wise(X0) | kind(X0))) & ((wise(X0) & ~kind(X0)) | wise(X0))) [nnf transformation 8... | 0 |
If someone is either not happy or not creative then someone is brave.
If someone is funny then someone is both creative and not generous.
If fred is tall then someone is either not patient or generous and vice versa.
If mary is not calm or not wise then paul is not quiet or not funny.
If john is both brave and rich the... | John is happy. | entailment | ((?[X]:((~happy(X)<~>~creative(X))))=>(?[X]:(brave(X))))&
((?[X]:(funny(X)))=>(?[X]:((creative(X)&~generous(X)))))&
((tall(fred))<=>(?[X]:((~patient(X)<~>generous(X)))))&
(((~calm(mary)|~wise(mary)))=>((~quiet(paul)|~funny(paul))))&
(((brave(john)&rich(john)))<=>(?[X]:(~quiet(X))))&
(((~tall(susan)<~>~funny(susan)))<=>... | happy(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8519798174982625778674996
% SZS output start Proof for 8519798174982625778674996
23. happy(john) [input p22]
25. ~happy(john) [input hypothesis]
155. happy(john) [cnf transformation 23]
158. ~happy(john) [cnf transformation 25]
416. $false [subsumption resolution 158,155]
% SZS output end... | 0 |
Everyone who is calm or kind is strong. Everyone who is generous or calm is both not creative and kind and vice versa. Everyone who is both not curious and curious is not calm. If someone is humble then paul is either not tall or generous and vice versa. If someone is both not kind and strong then paul is both not old ... | Fred is not rich. | neutral | (![X]:((calm(X)|kind(X))=>strong(X)))&
(![X]:((generous(X)|calm(X))<=>(~creative(X)&kind(X))))&
(![X]:((~curious(X)&curious(X))=>~calm(X)))&
((?[X]:(humble(X)))<=>((~tall(paul)<~>generous(paul))))&
((?[X]:((~kind(X)&strong(X))))<=>((~old(paul)&rich(paul))))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|funny(X))))&
(![X]:((... | ~rich(fred) | [] | null | 0 |
Everyone who is old or not creative is either not creative or not funny and vice versa.
Everyone who is both not patient and curious is not rich or curious.
If someone is not tall then someone is calm or not patient and vice versa.
Everyone who is both not curious and old is old and vice versa.
If john is calm then pau... | Susan is not funny. | neutral | (![X]:((old(X)|~creative(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~patient(X)&curious(X))=>(~rich(X)|curious(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~curious(X)&old(X))<=>old(X)))&
((calm(john))<=>((~creative(paul)&~funny(paul))))&
((?[X]:((~tall(X)&brave(X))))<=>(?[X]:(~funny(X))))&
((?... | ~funny(susan) | [] | null | 0 |
Everyone who is not wise or calm is tall or not brave. If someone is both not tall and rich then john is either not kind or not creative. Everyone who is not strong or quiet is not brave and vice versa. Everyone who is not quiet or not humble is kind or creative. Everyone who is both not humble and strong is curious an... | Alice is not happy. | neutral | (![X]:((~wise(X)|calm(X))=>(tall(X)|~brave(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~kind(john)<~>~creative(john))))&
(![X]:((~strong(X)|quiet(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)&strong(X))<=>curious(X)))&
(![X]:(brave(X)<=>(creative(X)&~strong(X))))&
(![X]:((happ... | ~happy(alice) | [] | null | 0 |
If someone is either wise or rich then someone is quiet.
If someone is not kind then mary is either not patient or humble and vice versa.
If someone is old or not kind then lucy is patient or curious.
Everyone who is old is not calm and vice versa.
If lucy is both not strong and curious then fred is not strong.
If some... | John is not rich. | contradiction | ((?[X]:((wise(X)<~>rich(X))))=>(?[X]:(quiet(X))))&
((?[X]:(~kind(X)))<=>((~patient(mary)<~>humble(mary))))&
((?[X]:((old(X)|~kind(X))))=>((patient(lucy)|curious(lucy))))&
(![X]:(old(X)<=>~calm(X)))&
(((~strong(lucy)&curious(lucy)))=>(~strong(fred)))&
((?[X]:((~happy(X)|humble(X))))<=>(?[X]:((strong(X)|calm(X)))))&
(((~... | ~rich(john) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7447184436611532040751973
% SZS output start Proof for 7447184436611532040751973
8. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (~happy(X0) & ~strong(X0))) [input p7]
13. (strong(mary) & ~strong(mary)) <=> ? [X0] : (happy(X0) <~> ~rich(X0)) [input p12]
25. ~rich(john) [input hypothesis]
59. ... | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is both not generous and not strong is quiet and vice versa.
If someone is either wise or kind then paul is both not brave and not quiet.
If someone is not humble then someone is either kind or brave.
If alice is not wise then lucy is either not ... | Lucy is not tall. | entailment | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((~generous(X)&~strong(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>kind(X))))=>((~brave(paul)&~quiet(paul))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)<~>brave(X)))))&
((~wise(alice))=>((~creative(lucy)<~>~curious(lucy))))&
((?[X]:((~funny(X)|tall(X))))=>((curious(alice)<~>patient(al... | ~tall(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1941234008942159607665705
% SZS output start Proof for 1941234008942159607665705
11. ! [X0] : (tall(X0) <=> (calm(X0) & ~calm(X0))) [input p10]
22. tall(lucy) [input hypothesis]
51. ! [X0] : ((tall(X0) | (~calm(X0) | calm(X0))) & ((calm(X0) & ~calm(X0)) | ~tall(X0))) [nnf transformation 1... | 0 |
Everyone who is not funny is brave and vice versa. If someone is not kind or old then someone is creative. Everyone who is not creative is kind or not brave. If john is either quiet or funny then someone is both not generous and not patient. Everyone who is not kind or funny is both patient and not old and vice versa. ... | Paul is funny. | contradiction | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(kind(X)|~brave(X))))&
(((quiet(john)<~>funny(john)))=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~kind(X)|funny(X))<=>(patient(X)&~old(X))))&
(((calm(alice)<~>~strong(alice)))<=>((~funny(paul)<~>~quiet(paul))))&
... | funny(paul) | [
"p4",
"p5",
"p7",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8511054314664319345799375
% SZS output start Proof for 8511054314664319345799375
5. ! [X0] : ((funny(X0) | ~kind(X0)) <=> (~old(X0) & patient(X0))) [input p4]
6. (calm(alice) <~> ~strong(alice)) <=> (~funny(paul) <~> ~quiet(paul)) [input p5]
8. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (humb... | 0 |
Everyone who is either not humble or not funny is funny and vice versa. If someone is both generous and rich then fred is not generous and vice versa. If mary is happy or rich then john is patient or not humble. Everyone who is both kind and not happy is both not funny and not quiet. If someone is not old or not quiet ... | Fred is not calm. | entailment | (![X]:((~humble(X)<~>~funny(X))<=>funny(X)))&
((?[X]:((generous(X)&rich(X))))<=>(~generous(fred)))&
(((happy(mary)|rich(mary)))=>((patient(john)|~humble(john))))&
(![X]:((kind(X)&~happy(X))=>(~funny(X)&~quiet(X))))&
((?[X]:((~old(X)|~quiet(X))))<=>((happy(paul)<~>strong(paul))))&
((creative(mary))=>((calm(fred)|creativ... | ~calm(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 210510769649674065473487
% SZS output start Proof for 210510769649674065473487
24. ~calm(fred) & ~rich(fred) [input p23]
25. calm(fred) [input hypothesis]
147. ~calm(fred) [cnf transformation 24]
148. calm(fred) [cnf transformation 25]
203. 12 <=> calm(fred) [avatar definition]
326. ~12 [... | 0 |
Everyone who is not old or old is both funny and creative. Everyone who is curious or tall is happy and vice versa. Everyone who is both not old and patient is generous and vice versa. Everyone who is rich or patient is not patient or not strong and vice versa. Everyone who is either funny or happy is not patient. Ever... | Paul is not wise. | neutral | (![X]:((~old(X)|old(X))=>(funny(X)&creative(X))))&
(![X]:((curious(X)|tall(X))<=>happy(X)))&
(![X]:((~old(X)&patient(X))<=>generous(X)))&
(![X]:((rich(X)|patient(X))<=>(~patient(X)|~strong(X))))&
(![X]:((funny(X)<~>happy(X))=>~patient(X)))&
(![X]:((brave(X)|~patient(X))<=>(~tall(X)|funny(X))))&
(![X]:((~strong(X)<~>~wi... | ~wise(paul) | [] | null | 0 |
If someone is not wise then someone is not tall. Everyone who is quiet or patient is either not kind or not patient. Everyone who is either not wise or not generous is not rich or calm. Everyone who is both funny and kind is either wise or not rich and vice versa. If someone is both not curious and patient then fred is... | John is not tall. | entailment | ((?[X]:(~wise(X)))=>(?[X]:(~tall(X))))&
(![X]:((quiet(X)|patient(X))=>(~kind(X)<~>~patient(X))))&
(![X]:((~wise(X)<~>~generous(X))=>(~rich(X)|calm(X))))&
(![X]:((funny(X)&kind(X))<=>(wise(X)<~>~rich(X))))&
((?[X]:((~curious(X)&patient(X))))=>(creative(fred)))&
(![X]:(brave(X)=>(humble(X)<~>~patient(X))))&
(![X]:((old(X... | ~tall(john) | [
"p1",
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1064988524451333628706385
% SZS output start Proof for 1064988524451333628706385
2. ! [X0] : ((patient(X0) | quiet(X0)) => (~kind(X0) <~> ~patient(X0))) [input p1]
4. ! [X0] : ((kind(X0) & funny(X0)) <=> (wise(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> ~kind(X... | 0 |
Everyone who is either brave or not quiet is either not brave or patient.
If john is both tall and patient then someone is both curious and not quiet and vice versa.
Everyone who is patient or generous is funny or tall.
Everyone who is tall or not creative is not old or not brave and vice versa.
Everyone who is either ... | John is not generous. | entailment | (![X]:((brave(X)<~>~quiet(X))=>(~brave(X)<~>patient(X))))&
(((tall(john)&patient(john)))<=>(?[X]:((curious(X)&~quiet(X)))))&
(![X]:((patient(X)|generous(X))=>(funny(X)|tall(X))))&
(![X]:((tall(X)|~creative(X))<=>(~old(X)|~brave(X))))&
(![X]:((tall(X)<~>~calm(X))<=>(~creative(X)&~brave(X))))&
(![X]:((rich(X)|~wise(X))=>... | ~generous(john) | [
"p3",
"p4",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5556494547637980026485356
% SZS output start Proof for 5556494547637980026485356
4. ! [X0] : ((~creative(X0) | tall(X0)) <=> (~brave(X0) | ~old(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> ~calm(X0)) <=> (~brave(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((creative(X0) & funny(X0)) <=> (... | 0 |
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