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 not patient or not rich is both not curious and strong and vice versa. If someone is both generous and patient then susan is either patient or old and vice versa. If susan is kind then someone is rich or wise and vice versa. Everyone who is not kind is either not generous or wise. Everyone who is... | Susan is patient. | contradiction | (![X]:((~patient(X)<~>~rich(X))<=>(~curious(X)&strong(X))))&
((?[X]:((generous(X)&patient(X))))<=>((patient(susan)<~>old(susan))))&
((kind(susan))<=>(?[X]:((rich(X)|wise(X)))))&
(![X]:(~kind(X)=>(~generous(X)<~>wise(X))))&
(![X]:(patient(X)=>(~wise(X)<~>strong(X))))&
(![X]:((rich(X)|patient(X))<=>(wise(X)&~patient(X)))... | patient(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7306219795544237206637143
% SZS output start Proof for 7306219795544237206637143
6. ! [X0] : ((patient(X0) | rich(X0)) <=> (~patient(X0) & wise(X0))) [input p5]
24. patient(susan) [input hypothesis]
45. ! [X0] : (((patient(X0) | rich(X0)) | (patient(X0) | ~wise(X0))) & ((~patient(X0) & wi... | 0 |
If john is both humble and creative then someone is not quiet and vice versa. If someone is not wise then someone is kind. Everyone who is kind or brave is not creative or creative and vice versa. If paul is quiet or not wise then someone is not strong. Everyone who is either not kind or rich is not old or not wise and... | Mary is rich. | entailment | (((humble(john)&creative(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:(~wise(X)))=>(?[X]:(kind(X))))&
(![X]:((kind(X)|brave(X))<=>(~creative(X)|creative(X))))&
(((quiet(paul)|~wise(paul)))=>(?[X]:(~strong(X))))&
(![X]:((~kind(X)<~>rich(X))<=>(~old(X)|~wise(X))))&
(![X]:(brave(X)=>~brave(X)))&
(![X]:((quiet(X)|~old(X))<=>(~ric... | rich(mary) | [
"p2",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 111829679738602658570353
% SZS output start Proof for 111829679738602658570353
3. ! [X0] : ((brave(X0) | kind(X0)) <=> (creative(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((~kind(X0) <~> rich(X0)) <=> (~wise(X0) | ~old(X0))) [input p4]
6. ! [X0] : (brave(X0) => ~brave(X0)) [input p5]
8... | 0 |
Everyone who is either patient or not calm is both rich and not kind.
If alice is both not old and not kind then lucy is not quiet or not humble and vice versa.
If lucy is not creative then someone is both not humble and not quiet and vice versa.
If someone is not rich then someone is rich.
Everyone who is not happy is... | Alice is funny. | neutral | (![X]:((patient(X)<~>~calm(X))=>(rich(X)&~kind(X))))&
(((~old(alice)&~kind(alice)))<=>((~quiet(lucy)|~humble(lucy))))&
((~creative(lucy))<=>(?[X]:((~humble(X)&~quiet(X)))))&
((?[X]:(~rich(X)))=>(?[X]:(rich(X))))&
(![X]:(~happy(X)<=>(quiet(X)&tall(X))))&
(![X]:((~wise(X)|generous(X))<=>~rich(X)))&
(![X]:(patient(X)=>~ta... | funny(alice) | [] | null | 0 |
Everyone who is both not creative and calm is both wise and not calm and vice versa. If mary is both quiet and calm then fred is happy or not rich and vice versa. If john is both strong and humble then someone is calm and vice versa. Everyone who is not kind is not humble or not patient and vice versa. Everyone who is ... | Paul is happy. | contradiction | (![X]:((~creative(X)&calm(X))<=>(wise(X)&~calm(X))))&
(((quiet(mary)&calm(mary)))<=>((happy(fred)|~rich(fred))))&
(((strong(john)&humble(john)))<=>(?[X]:(calm(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~patient(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>quiet(X)))&
(((curious(john)<~>~patient(john)))<=>(?[X]:(patient(X))))&
(!... | happy(paul) | [
"p0",
"p3",
"p6",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2478390518356327492663007
% SZS output start Proof for 2478390518356327492663007
1. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (~calm(X0) & wise(X0))) [input p0]
4. ! [X0] : (~kind(X0) <=> (~patient(X0) | ~humble(X0))) [input p3]
7. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (humble(X0) | ~p... | 0 |
Everyone who is either quiet or patient is either quiet or not strong and vice versa. If someone is both brave and not humble then alice is both not strong and not happy and vice versa. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who ... | Lucy is not rich. | entailment | (![X]:((quiet(X)<~>patient(X))<=>(quiet(X)<~>~strong(X))))&
((?[X]:((brave(X)&~humble(X))))<=>((~strong(alice)&~happy(alice))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious... | ~rich(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7931395937178371337966416
% SZS output start Proof for 7931395937178371337966416
1. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> ~brave(X0)) [input p2]
7. (~quiet(paul) & curious(paul)) <=> ? [X0] : (rich(X0... | 0 |
If someone is either calm or not old then someone is either curious or happy.
Everyone who is both kind and not kind is brave and vice versa.
Everyone who is not funny or funny is wise or not tall and vice versa.
If fred is kind or not funny then john is brave and vice versa.
If someone is creative then john is either ... | Paul is tall. | contradiction | ((?[X]:((calm(X)<~>~old(X))))=>(?[X]:((curious(X)<~>happy(X)))))&
(![X]:((kind(X)&~kind(X))<=>brave(X)))&
(![X]:((~funny(X)|funny(X))<=>(wise(X)|~tall(X))))&
(((kind(fred)|~funny(fred)))<=>(brave(john)))&
((?[X]:(creative(X)))<=>((generous(john)<~>happy(john))))&
((?[X]:((generous(X)<~>~brave(X))))=>((calm(mary)<~>~qui... | tall(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6696167736189305797491510
% SZS output start Proof for 6696167736189305797491510
15. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (strong(X0) | ~strong(X0))) [input p14]
22. tall(paul) [input hypothesis]
56. ! [X0] : (((happy(X0) & ~tall(X0)) | (~strong(X0) & strong(X0))) & ((strong(X0) | ~stron... | 0 |
Everyone who is both not kind and kind is either old or not funny and vice versa.
Everyone who is curious or not humble is not funny or tall.
If someone is not quiet then mary is not creative.
If susan is either not tall or not old then someone is either calm or not calm and vice versa.
If fred is wise then fred is eit... | Susan is strong. | neutral | (![X]:((~kind(X)&kind(X))<=>(old(X)<~>~funny(X))))&
(![X]:((curious(X)|~humble(X))=>(~funny(X)|tall(X))))&
((?[X]:(~quiet(X)))=>(~creative(mary)))&
(((~tall(susan)<~>~old(susan)))<=>(?[X]:((calm(X)<~>~calm(X)))))&
((wise(fred))=>((~kind(fred)<~>~strong(fred))))&
(![X]:((~tall(X)<~>happy(X))=>(humble(X)|~wise(X))))&
((?... | strong(susan) | [] | null | 0 |
Everyone who is both not quiet and kind is tall or not rich and vice versa. If someone is rich or brave then someone is not old and vice versa. Everyone who is either not kind or kind is curious and vice versa. Everyone who is patient is happy and vice versa. Everyone who is not wise or not calm is calm or not generous... | Lucy is generous. | contradiction | (![X]:((~quiet(X)&kind(X))<=>(tall(X)|~rich(X))))&
((?[X]:((rich(X)|brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((~kind(X)<~>kind(X))<=>curious(X)))&
(![X]:(patient(X)<=>happy(X)))&
(![X]:((~wise(X)|~calm(X))=>(calm(X)|~generous(X))))&
((generous(lucy))<=>(?[X]:((humble(X)&brave(X)))))&
(((~strong(john)|~brave(john)))<=>(?[... | generous(lucy) | [
"p0",
"p3",
"p5",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8636909098578972904635963
% SZS output start Proof for 8636909098578972904635963
1. ! [X0] : ((kind(X0) & ~quiet(X0)) <=> (~rich(X0) | tall(X0))) [input p0]
4. ! [X0] : (patient(X0) <=> happy(X0)) [input p3]
6. generous(lucy) <=> ? [X0] : (brave(X0) & humble(X0)) [input p5]
9. ? [X0] : (~... | 0 |
If someone is either happy or quiet then someone is happy or not wise and vice versa.
Everyone who is strong or not old is both not kind and generous.
If someone is creative or wise then paul is both strong and not kind and vice versa.
Everyone who is either wise or not tall is either strong or not creative.
If someone... | Mary is not creative. | contradiction | ((?[X]:((happy(X)<~>quiet(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:((strong(X)|~old(X))=>(~kind(X)&generous(X))))&
((?[X]:((creative(X)|wise(X))))<=>((strong(paul)&~kind(paul))))&
(![X]:((wise(X)<~>~tall(X))=>(strong(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)|~wise(X)))))&
((~strong(alice))=>((kind... | ~creative(mary) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3969457777456285375674259
% SZS output start Proof for 3969457777456285375674259
2. ! [X0] : ((~old(X0) | strong(X0)) => (generous(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((wise(X0) <~> ~tall(X0)) => (strong(X0) <~> ~creative(X0))) [input p3]
7. ! [X0] : (~old(X0) <=> strong(X0)) [input ... | 0 |
Everyone who is either happy or generous is calm and vice versa.
Everyone who is kind or old is not brave and vice versa.
Everyone who is either calm or not calm is both generous and not quiet and vice versa.
If alice is humble or creative then someone is both generous and curious.
If john is generous or old then lucy ... | Paul is not happy. | entailment | (![X]:((happy(X)<~>generous(X))<=>calm(X)))&
(![X]:((kind(X)|old(X))<=>~brave(X)))&
(![X]:((calm(X)<~>~calm(X))<=>(generous(X)&~quiet(X))))&
(((humble(alice)|creative(alice)))=>(?[X]:((generous(X)&curious(X)))))&
(((generous(john)|old(john)))=>((old(lucy)|~strong(lucy))))&
(((~calm(paul)&~old(paul)))=>((brave(paul)&~ca... | ~happy(paul) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7102249978260980943868514
% SZS output start Proof for 7102249978260980943868514
1. ! [X0] : ((happy(X0) <~> generous(X0)) <=> calm(X0)) [input p0]
2. ! [X0] : ((old(X0) | kind(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (~quiet(X0) & generous(X0))) [input p2... | 0 |
Everyone who is either funny or not humble is both humble and rich.
Everyone who is both rich and not tall is either not tall or kind.
Everyone who is both not calm and strong is both rich and not calm and vice versa.
If lucy is not strong or calm then fred is happy or not patient.
If lucy is both not tall and not curi... | Mary is strong. | neutral | (![X]:((funny(X)<~>~humble(X))=>(humble(X)&rich(X))))&
(![X]:((rich(X)&~tall(X))=>(~tall(X)<~>kind(X))))&
(![X]:((~calm(X)&strong(X))<=>(rich(X)&~calm(X))))&
(((~strong(lucy)|calm(lucy)))=>((happy(fred)|~patient(fred))))&
(((~tall(lucy)&~curious(lucy)))<=>((~creative(john)&curious(john))))&
(![X]:(creative(X)=>(calm(X)... | strong(mary) | [] | null | 0 |
If someone is creative or wise then someone is either curious or not strong. If alice is either old or not creative then fred is both not rich and creative. Everyone who is not tall or kind is not happy or not old and vice versa. Everyone who is both strong and humble is not humble and vice versa. If mary is wise or st... | John is strong. | contradiction | ((?[X]:((creative(X)|wise(X))))=>(?[X]:((curious(X)<~>~strong(X)))))&
(((old(alice)<~>~creative(alice)))=>((~rich(fred)&creative(fred))))&
(![X]:((~tall(X)|kind(X))<=>(~happy(X)|~old(X))))&
(![X]:((strong(X)&humble(X))<=>~humble(X)))&
(((wise(mary)|strong(mary)))<=>((curious(lucy)&~rich(lucy))))&
((?[X]:((~tall(X)&~wis... | strong(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6818709129122387939247147
% SZS output start Proof for 6818709129122387939247147
4. ! [X0] : ((humble(X0) & strong(X0)) <=> ~humble(X0)) [input p3]
24. strong(john) [input hypothesis]
48. ! [X0] : (((humble(X0) & strong(X0)) | humble(X0)) & (~humble(X0) | (~humble(X0) | ~strong(X0)))) [nn... | 0 |
Everyone who is either not creative or not tall is both kind and not generous.
Everyone who is not calm is humble or wise.
If someone is either not tall or brave then someone is either not strong or funny and vice versa.
Everyone who is either not happy or curious is either not generous or funny.
Everyone who is either... | Alice is not tall. | entailment | (![X]:((~creative(X)<~>~tall(X))=>(kind(X)&~generous(X))))&
(![X]:(~calm(X)=>(humble(X)|wise(X))))&
((?[X]:((~tall(X)<~>brave(X))))<=>(?[X]:((~strong(X)<~>funny(X)))))&
(![X]:((~happy(X)<~>curious(X))=>(~generous(X)<~>funny(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(wise(X)|~old(X))))&
(![X]:((~tall(X)<~>rich(X))<=>pat... | ~tall(alice) | [
"p2",
"p7",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8668969295022671045769888
% SZS output start Proof for 8668969295022671045769888
3. ? [X0] : (~tall(X0) <~> brave(X0)) <=> ? [X0] : (~strong(X0) <~> funny(X0)) [input p2]
8. ! [X0] : ((~patient(X0) & wise(X0)) <=> (old(X0) | humble(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~old(X0))... | 0 |
Everyone who is not calm or patient is old.
Everyone who is old or not kind is both calm and generous and vice versa.
Everyone who is either not rich or wise is both not humble and curious and vice versa.
If someone is not creative or not calm then susan is either not old or not strong and vice versa.
Everyone who is o... | Susan is calm. | entailment | (![X]:((~calm(X)|patient(X))=>old(X)))&
(![X]:((old(X)|~kind(X))<=>(calm(X)&generous(X))))&
(![X]:((~rich(X)<~>wise(X))<=>(~humble(X)&curious(X))))&
((?[X]:((~creative(X)|~calm(X))))<=>((~old(susan)<~>~strong(susan))))&
(![X]:(old(X)=>(quiet(X)<~>~strong(X))))&
(![X]:(~strong(X)=>(kind(X)<~>~calm(X))))&
((?[X]:(~curiou... | calm(susan) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6636205930737766531158080
% SZS output start Proof for 6636205930737766531158080
1. ! [X0] : ((patient(X0) | ~calm(X0)) => old(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | old(X0)) <=> (generous(X0) & calm(X0))) [input p1]
25. ~calm(susan) [input hypothesis]
28. ! [X0] : (old(X0) | (~patient... | 0 |
If someone is tall then someone is either not generous or funny.
If someone is brave then lucy is either brave or patient and vice versa.
Everyone who is humble or creative is both kind and creative.
If john is both patient and rich then paul is not old and vice versa.
Everyone who is not quiet or wise is both not wise... | Paul is funny. | contradiction | ((?[X]:(tall(X)))=>(?[X]:((~generous(X)<~>funny(X)))))&
((?[X]:(brave(X)))<=>((brave(lucy)<~>patient(lucy))))&
(![X]:((humble(X)|creative(X))=>(kind(X)&creative(X))))&
(((patient(john)&rich(john)))<=>(~old(paul)))&
(![X]:((~quiet(X)|wise(X))=>(~wise(X)&wise(X))))&
(![X]:((~happy(X)&curious(X))=>~kind(X)))&
(((strong(su... | funny(paul) | [
"p4",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4749286549061338438308947
% SZS output start Proof for 4749286549061338438308947
5. ! [X0] : ((wise(X0) | ~quiet(X0)) => (wise(X0) & ~wise(X0))) [input p4]
10. ! [X0] : (~rich(X0) <=> (tall(X0) | funny(X0))) [input p9]
12. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (rich(X0) & ~tall(X0)... | 0 |
Everyone who is not rich or not brave is not patient and vice versa. Everyone who is either not patient or kind is either patient or not kind. If someone is either rich or happy then someone is either brave or not patient and vice versa. If someone is not happy then someone is both generous and not brave and vice versa... | Paul is wise. | contradiction | (![X]:((~rich(X)|~brave(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>kind(X))=>(patient(X)<~>~kind(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kin... | wise(paul) | [
"p0",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4666867919779302345385140
% SZS output start Proof for 4666867919779302345385140
1. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> ~patient(X0)) [input p0]
6. (wise(mary) | ~brave(mary)) => (~wise(paul) & kind(paul)) [input p5]
9. ! [X0] : (calm(X0) => (~funny(X0) & ~calm(X0))) [input p8]
11. ! [... | 0 |
If mary is both not tall and generous then paul is both generous and curious.
If susan is humble or calm then someone is both old and not curious and vice versa.
Everyone who is either rich or strong is quiet or not generous and vice versa.
Everyone who is not funny is humble or not brave.
If lucy is either not wise or... | Lucy is not strong. | contradiction | (((~tall(mary)&generous(mary)))=>((generous(paul)&curious(paul))))&
(((humble(susan)|calm(susan)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((rich(X)<~>strong(X))<=>(quiet(X)|~generous(X))))&
(![X]:(~funny(X)=>(humble(X)|~brave(X))))&
(((~wise(lucy)<~>strong(lucy)))=>((~rich(lucy)|~funny(lucy))))&
(![X]:((rich(X)|~quiet... | ~strong(lucy) | [
"p2",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 517455308801390972247743
% SZS output start Proof for 517455308801390972247743
3. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (~generous(X0) | quiet(X0))) [input p2]
12. ! [X0] : ((~brave(X0) <~> curious(X0)) <=> (~generous(X0) & generous(X0))) [input p11]
15. ! [X0] : ((curious(X0) <~> brave... | 0 |
If someone is either generous or tall then someone is both not brave and kind.
If alice is not happy or not rich then susan is happy.
Everyone who is both generous and humble is both not quiet and not rich.
If someone is rich then john is not tall or not generous and vice versa.
Everyone who is not curious is happy or ... | Alice is not generous. | neutral | ((?[X]:((generous(X)<~>tall(X))))=>(?[X]:((~brave(X)&kind(X)))))&
(((~happy(alice)|~rich(alice)))=>(happy(susan)))&
(![X]:((generous(X)&humble(X))=>(~quiet(X)&~rich(X))))&
((?[X]:(rich(X)))<=>((~tall(john)|~generous(john))))&
(![X]:(~curious(X)<=>(happy(X)|~quiet(X))))&
(((strong(alice)|generous(alice)))<=>((~rich(susa... | ~generous(alice) | [] | null | 0 |
Everyone who is creative is happy or not generous.
Everyone who is rich or wise is not creative or happy and vice versa.
Everyone who is either not patient or not brave is creative or not tall.
Everyone who is funny is not quiet or rich and vice versa.
If lucy is wise then someone is both wise and not patient.
Everyone... | Alice is not brave. | contradiction | (![X]:(creative(X)=>(happy(X)|~generous(X))))&
(![X]:((rich(X)|wise(X))<=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(creative(X)|~tall(X))))&
(![X]:(funny(X)<=>(~quiet(X)|rich(X))))&
((wise(lucy))=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:((happy(X)|~calm(X))<=>(~strong(X)&humble(X))))&
(![X]:((tall(X)... | ~brave(alice) | [
"p5",
"p6",
"p7",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 689021932178335844683877
% SZS output start Proof for 689021932178335844683877
6. ! [X0] : ((~calm(X0) | happy(X0)) <=> (humble(X0) & ~strong(X0))) [input p5]
7. ! [X0] : ((~brave(X0) | tall(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p6]
8. ! [X0] : ((tall(X0) | rich(X0)) <=> (~curious(... | 0 |
If someone is generous then mary is not tall or not quiet and vice versa.
Everyone who is either curious or not funny is both strong and not patient and vice versa.
If someone is not rich or not quiet then alice is both calm and not old.
If someone is rich or strong then mary is not strong or not tall.
Everyone who is ... | Alice is not quiet. | contradiction | ((?[X]:(generous(X)))<=>((~tall(mary)|~quiet(mary))))&
(![X]:((curious(X)<~>~funny(X))<=>(strong(X)&~patient(X))))&
((?[X]:((~rich(X)|~quiet(X))))=>((calm(alice)&~old(alice))))&
((?[X]:((rich(X)|strong(X))))=>((~strong(mary)|~tall(mary))))&
(![X]:((~funny(X)<~>humble(X))=>(~old(X)&curious(X))))&
(![X]:((funny(X)|kind(X... | ~quiet(alice) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3412224653587095512781009
% SZS output start Proof for 3412224653587095512781009
1. ? [X0] : generous(X0) <=> (~quiet(mary) | ~tall(mary)) [input p0]
2. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (~patient(X0) & strong(X0))) [input p1]
3. ? [X0] : (~quiet(X0) | ~rich(X0)) => (~old(alice) ... | 0 |
If paul is both humble and quiet then mary is not wise or creative and vice versa.
Everyone who is tall or generous is either not humble or not funny and vice versa.
Everyone who is not brave or generous is not brave.
Everyone who is both not creative and not tall is both not happy and strong and vice versa.
Everyone w... | Fred is creative. | entailment | (((humble(paul)&quiet(paul)))<=>((~wise(mary)|creative(mary))))&
(![X]:((tall(X)|generous(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((~brave(X)|generous(X))=>~brave(X)))&
(![X]:((~creative(X)&~tall(X))<=>(~happy(X)&strong(X))))&
(![X]:(patient(X)<=>(~patient(X)|~funny(X))))&
(![X]:(~calm(X)=>(~kind(X)<~>~patient(X))))&
(... | creative(fred) | [
"p4",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 344659681394335401880373
% SZS output start Proof for 344659681394335401880373
5. ! [X0] : (patient(X0) <=> (~funny(X0) | ~patient(X0))) [input p4]
10. ! [X0] : ((~happy(X0) <~> ~humble(X0)) <=> (~happy(X0) <~> ~patient(X0))) [input p9]
17. ~humble(fred) | creative(fred) [input p16]
20. ~... | 0 |
If someone is not brave then fred is either not happy or not quiet and vice versa.
If susan is either quiet or not funny then paul is patient or kind.
If someone is rich then susan is not humble and vice versa.
Everyone who is not wise or humble is not humble and vice versa.
Everyone who is not calm or not happy is bot... | Mary is not strong. | contradiction | ((?[X]:(~brave(X)))<=>((~happy(fred)<~>~quiet(fred))))&
(((quiet(susan)<~>~funny(susan)))=>((patient(paul)|kind(paul))))&
((?[X]:(rich(X)))<=>(~humble(susan)))&
(![X]:((~wise(X)|humble(X))<=>~humble(X)))&
(![X]:((~calm(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~old(X)<~>funny(X))<=>old(X)))&
(![X]:(kind(X)<=>(ge... | ~strong(mary) | [
"p3",
"p4",
"p5",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7310319105748628200154027
% SZS output start Proof for 7310319105748628200154027
4. ! [X0] : ((humble(X0) | ~wise(X0)) <=> ~humble(X0)) [input p3]
5. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (tall(X0) & generous(X0))) [input p4]
6. ! [X0] : ((~old(X0) <~> funny(X0)) <=> old(X0)) [input p5]
... | 0 |
If fred is both creative and not strong then someone is both not funny and kind.
Everyone who is both quiet and not funny is both not quiet and not creative.
Everyone who is both quiet and tall is either humble or not kind and vice versa.
Everyone who is either not humble or wise is not generous or not rich and vice ve... | Alice is calm. | contradiction | (((creative(fred)&~strong(fred)))=>(?[X]:((~funny(X)&kind(X)))))&
(![X]:((quiet(X)&~funny(X))=>(~quiet(X)&~creative(X))))&
(![X]:((quiet(X)&tall(X))<=>(humble(X)<~>~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>(~generous(X)|~rich(X))))&
(![X]:(rich(X)=>generous(X)))&
((funny(alice))=>(?[X]:((old(X)<~>brave(X)))))&
(![X]... | calm(alice) | [
"p1",
"p2",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 647060585776848053334627
% SZS output start Proof for 647060585776848053334627
2. ! [X0] : ((~funny(X0) & quiet(X0)) => (~creative(X0) & ~quiet(X0))) [input p1]
3. ! [X0] : ((tall(X0) & quiet(X0)) <=> (humble(X0) <~> ~kind(X0))) [input p2]
9. ! [X0] : (~humble(X0) <=> (happy(X0) | ~strong... | 0 |
Everyone who is generous or not funny is either creative or not rich and vice versa.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is not rich or kind is strong.
If someone is not brave... | Paul is quiet. | entailment | (![X]:((generous(X)|~funny(X))<=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humble(paul))))&
((?[X]:((funny(X)<~>tall(X))))=>((ha... | quiet(paul) | [
"p0",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 419062011043556695311906
% SZS output start Proof for 419062011043556695311906
1. ! [X0] : ((~funny(X0) | generous(X0)) <=> (creative(X0) <~> ~rich(X0))) [input p0]
8. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input p7]
9. ! [X0] : ((~rich(X0) | rich(X0)) <=> ~funny(X0)) [input ... | 0 |
If someone is both not generous and not funny then someone is either brave or not humble. If mary is strong or not strong then someone is not happy or creative. Everyone who is not strong or funny is not brave or creative and vice versa. Everyone who is either old or not tall is funny and vice versa. Everyone who is wi... | Lucy is not wise. | entailment | ((?[X]:((~generous(X)&~funny(X))))=>(?[X]:((brave(X)<~>~humble(X)))))&
(((strong(mary)|~strong(mary)))=>(?[X]:((~happy(X)|creative(X)))))&
(![X]:((~strong(X)|funny(X))<=>(~brave(X)|creative(X))))&
(![X]:((old(X)<~>~tall(X))<=>funny(X)))&
(![X]:(wise(X)=>(~strong(X)&happy(X))))&
(![X]:((~rich(X)<~>rich(X))=>(patient(X)|... | ~wise(lucy) | [
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1162027560368298489553903
% SZS output start Proof for 1162027560368298489553903
5. ! [X0] : (wise(X0) => (happy(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((funny(X0) | ~kind(X0)) => strong(X0)) [input p6]
11. ! [X0] : ((~humble(X0) | wise(X0)) <=> (~kind(X0) & funny(X0))) [input p10]
25... | 0 |
Everyone who is not kind is either humble or old.
If someone is either not kind or patient then someone is either brave or not generous and vice versa.
Everyone who is both kind and not quiet is old or happy and vice versa.
Everyone who is curious is both not old and not curious.
If someone is both not funny and not ha... | Fred is not calm. | neutral | (![X]:(~kind(X)=>(humble(X)<~>old(X))))&
((?[X]:((~kind(X)<~>patient(X))))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((kind(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))... | ~calm(fred) | [] | null | 0 |
If someone is both rich and funny then someone is not funny.
Everyone who is not kind is either rich or humble and vice versa.
Everyone who is kind is not wise or not tall and vice versa.
Everyone who is humble is not rich or old.
If john is not rich then someone is either not old or patient and vice versa.
If mary is ... | Fred is not patient. | neutral | ((?[X]:((rich(X)&funny(X))))=>(?[X]:(~funny(X))))&
(![X]:(~kind(X)<=>(rich(X)<~>humble(X))))&
(![X]:(kind(X)<=>(~wise(X)|~tall(X))))&
(![X]:(humble(X)=>(~rich(X)|old(X))))&
((~rich(john))<=>(?[X]:((~old(X)<~>patient(X)))))&
(((~rich(mary)|curious(mary)))=>((~patient(alice)<~>~funny(alice))))&
(![X]:((funny(X)<~>strong(... | ~patient(fred) | [] | null | 0 |
Everyone who is not curious or rich is old and vice versa.
Everyone who is either not brave or calm is funny or not rich.
Everyone who is both not funny and curious is either not generous or creative.
If alice is both not funny and calm then someone is not curious or not generous.
If someone is not funny then paul is n... | Paul is not curious. | neutral | (![X]:((~curious(X)|rich(X))<=>old(X)))&
(![X]:((~brave(X)<~>calm(X))=>(funny(X)|~rich(X))))&
(![X]:((~funny(X)&curious(X))=>(~generous(X)<~>creative(X))))&
(((~funny(alice)&calm(alice)))=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:(~funny(X)))<=>((~tall(paul)|wise(paul))))&
((~patient(lucy))<=>((brave(john)<~>~patie... | ~curious(paul) | [] | null | 0 |
If fred is not generous or wise then someone is not wise or creative and vice versa.
If mary is both curious and not tall then someone is not old or not patient.
Everyone who is both not kind and old is either happy or patient.
If someone is patient or quiet then paul is not creative and vice versa.
Everyone who is not... | Fred is not quiet. | neutral | (((~generous(fred)|wise(fred)))<=>(?[X]:((~wise(X)|creative(X)))))&
(((curious(mary)&~tall(mary)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~kind(X)&old(X))=>(happy(X)<~>patient(X))))&
((?[X]:((patient(X)|quiet(X))))<=>(~creative(paul)))&
(![X]:((~patient(X)|strong(X))<=>(~generous(X)&generous(X))))&
(((humble(lucy)|s... | ~quiet(fred) | [] | null | 0 |
Everyone who is either patient or not tall is not curious or brave.
Everyone who is patient or not wise is calm or funny.
Everyone who is both happy and not wise is strong.
If someone is both curious and not kind then paul is both quiet and not kind.
Everyone who is happy is not rich.
If paul is not patient then paul i... | John is creative. | neutral | (![X]:((patient(X)<~>~tall(X))=>(~curious(X)|brave(X))))&
(![X]:((patient(X)|~wise(X))=>(calm(X)|funny(X))))&
(![X]:((happy(X)&~wise(X))=>strong(X)))&
((?[X]:((curious(X)&~kind(X))))=>((quiet(paul)&~kind(paul))))&
(![X]:(happy(X)=>~rich(X)))&
((~patient(paul))<=>((~strong(paul)&tall(paul))))&
(((~rich(susan)|calm(susan... | creative(john) | [] | null | 0 |
Everyone who is both kind and tall is either brave or old.
Everyone who is both not creative and not humble is both not strong and not rich and vice versa.
Everyone who is either humble or tall is quiet and vice versa.
If fred is both patient and not curious then lucy is either old or not happy.
Everyone who is both no... | Alice is strong. | entailment | (![X]:((kind(X)&tall(X))=>(brave(X)<~>old(X))))&
(![X]:((~creative(X)&~humble(X))<=>(~strong(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))<=>quiet(X)))&
(((patient(fred)&~curious(fred)))=>((old(lucy)<~>~happy(lucy))))&
(![X]:((~funny(X)&~tall(X))=>(creative(X)|~generous(X))))&
(![X]:((~strong(X)<~>generous(X))<=>(genero... | strong(alice) | [
"p2",
"p5",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8329147559703885855280986
% SZS output start Proof for 8329147559703885855280986
3. ! [X0] : ((humble(X0) <~> tall(X0)) <=> quiet(X0)) [input p2]
6. ! [X0] : ((~strong(X0) <~> generous(X0)) <=> (~kind(X0) | generous(X0))) [input p5]
8. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (strong(X0) & ... | 0 |
Everyone who is calm or kind is both quiet and not patient.
If john is not happy then someone is tall or not tall.
Everyone who is not happy is humble or not strong and vice versa.
If susan is either creative or curious then lucy is not calm and vice versa.
If someone is creative then someone is strong or tall and vice... | Alice is funny. | neutral | (![X]:((calm(X)|kind(X))=>(quiet(X)&~patient(X))))&
((~happy(john))=>(?[X]:((tall(X)|~tall(X)))))&
(![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
(((creative(susan)<~>curious(susan)))<=>(~calm(lucy)))&
((?[X]:(creative(X)))<=>(?[X]:((strong(X)|tall(X)))))&
(((~creative(mary)<~>generous(mary)))=>((~wise(john)&~generous(jo... | funny(alice) | [] | null | 0 |
If mary is not quiet then someone is both funny and not patient and vice versa. If lucy is either not patient or happy then someone is not wise or not rich. Everyone who is either creative or not funny is not calm or not patient and vice versa. If susan is not tall then alice is not brave. If john is both brave and not... | Susan is strong. | entailment | ((~quiet(mary))<=>(?[X]:((funny(X)&~patient(X)))))&
(((~patient(lucy)<~>happy(lucy)))=>(?[X]:((~wise(X)|~rich(X)))))&
(![X]:((creative(X)<~>~funny(X))<=>(~calm(X)|~patient(X))))&
((~tall(susan))=>(~brave(alice)))&
(((brave(john)&~brave(john)))=>((~strong(paul)<~>~kind(paul))))&
(![X]:((wise(X)|~calm(X))=>(~quiet(X)<~>~... | strong(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 422557267580200099366847
% SZS output start Proof for 422557267580200099366847
12. ! [X0] : ((calm(X0) & strong(X0)) <=> (~generous(X0) | ~strong(X0))) [input p11]
25. ~strong(susan) [input hypothesis]
57. ! [X0] : (((calm(X0) & strong(X0)) | (generous(X0) & strong(X0))) & ((~generous(X0)... | 0 |
If paul is patient then someone is not curious or patient and vice versa. If susan is funny then lucy is either calm or kind and vice versa. If someone is wise or tall then someone is not strong. Everyone who is not patient is creative or not creative and vice versa. If lucy is old then fred is not old or creative and ... | Susan is tall. | contradiction | ((patient(paul))<=>(?[X]:((~curious(X)|patient(X)))))&
((funny(susan))<=>((calm(lucy)<~>kind(lucy))))&
((?[X]:((wise(X)|tall(X))))=>(?[X]:(~strong(X))))&
(![X]:(~patient(X)<=>(creative(X)|~creative(X))))&
((old(lucy))<=>((~old(fred)|creative(fred))))&
((?[X]:(funny(X)))=>(?[X]:(kind(X))))&
(((~wise(susan)<~>~brave(susa... | tall(susan) | [
"p3",
"p7",
"p8",
"p9",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7736401311844811744787164
% SZS output start Proof for 7736401311844811744787164
4. ! [X0] : (~patient(X0) <=> (~creative(X0) | creative(X0))) [input p3]
8. ! [X0] : ((~generous(X0) | happy(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) => (~generou... | 0 |
If someone is either not calm or old then mary is patient or not generous and vice versa.
Everyone who is either not rich or not patient is either wise or not strong and vice versa.
Everyone who is either calm or old is both funny and not brave and vice versa.
Everyone who is curious is not curious.
If paul is not funn... | Susan is old. | entailment | ((?[X]:((~calm(X)<~>old(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~rich(X)<~>~patient(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((calm(X)<~>old(X))<=>(funny(X)&~brave(X))))&
(![X]:(curious(X)=>~curious(X)))&
((~funny(paul))=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((~rich(X)<~>funny(X))<=>(wise(X)<~>rich(X))))&
... | old(susan) | [
"p6",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6605124769858545136213342
% SZS output start Proof for 6605124769858545136213342
7. ? [X0] : (~quiet(X0) <~> old(X0)) => (old(susan) & happy(susan)) [input p6]
10. ! [X0] : (old(X0) <=> (~humble(X0) & quiet(X0))) [input p9]
23. ? [X0] : (~quiet(X0) & ~calm(X0)) [input p22]
25. ~old(susan)... | 0 |
If someone is not old or creative then someone is either not rich or not humble.
Everyone who is wise or humble is calm.
Everyone who is not curious or rich is not strong or not brave.
If john is both calm and not strong then someone is both not humble and quiet.
Everyone who is either not kind or funny is not quiet or... | Fred is creative. | neutral | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((wise(X)|humble(X))=>calm(X)))&
(![X]:((~curious(X)|rich(X))=>(~strong(X)|~brave(X))))&
(((calm(john)&~strong(john)))=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~kind(X)<~>funny(X))=>(~quiet(X)|~old(X))))&
(![X]:((patient(X)|funny(X))=>~strong(X)... | creative(fred) | [] | null | 0 |
If susan is either curious or not curious then someone is strong or happy and vice versa.
Everyone who is not curious or brave is funny.
If john is not rich or kind then alice is kind or not humble.
Everyone who is not humble or not old is not kind or quiet.
If susan is either quiet or not humble then someone is both w... | John is rich. | entailment | (((curious(susan)<~>~curious(susan)))<=>(?[X]:((strong(X)|happy(X)))))&
(![X]:((~curious(X)|brave(X))=>funny(X)))&
(((~rich(john)|kind(john)))=>((kind(alice)|~humble(alice))))&
(![X]:((~humble(X)|~old(X))=>(~kind(X)|quiet(X))))&
(((quiet(susan)<~>~humble(susan)))<=>(?[X]:((wise(X)&generous(X)))))&
(((generous(paul)|cre... | rich(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1063344096349509836421988
% SZS output start Proof for 1063344096349509836421988
20. rich(john) [input p19]
25. ~rich(john) [input hypothesis]
132. rich(john) [cnf transformation 20]
140. ~rich(john) [cnf transformation 25]
172. 7 <=> rich(john) [avatar definition]
295. 7 [avatar split cl... | 0 |
Everyone who is humble is either funny or not kind.
If john is both quiet and generous then someone is creative and vice versa.
If someone is wise or not humble then lucy is both not happy and not kind.
Everyone who is not rich or not curious is either not patient or not tall and vice versa.
Everyone who is both happy ... | Lucy is not funny. | entailment | (![X]:(humble(X)=>(funny(X)<~>~kind(X))))&
(((quiet(john)&generous(john)))<=>(?[X]:(creative(X))))&
((?[X]:((wise(X)|~humble(X))))=>((~happy(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~curious(X))<=>(~patient(X)<~>~tall(X))))&
(![X]:((happy(X)&humble(X))=>(calm(X)&curious(X))))&
(![X]:((kind(X)<~>rich(X))<=>(~humble(X)&~ha... | ~funny(lucy) | [
"p0",
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3993403399959218700248102
% SZS output start Proof for 3993403399959218700248102
1. ! [X0] : (humble(X0) => (funny(X0) <~> ~kind(X0))) [input p0]
6. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (~happy(X0) & ~humble(X0))) [input p5]
10. ! [X0] : ((curious(X0) & ~strong(X0)) <=> ~humble(X0)) [inp... | 0 |
If alice is either calm or not quiet then someone is both old and not generous and vice versa.
Everyone who is not tall or strong is not quiet.
If lucy is both tall and not happy then someone is not generous or kind.
Everyone who is either rich or not rich is both not happy and not old.
If someone is quiet then someone... | Paul is not old. | entailment | (((calm(alice)<~>~quiet(alice)))<=>(?[X]:((old(X)&~generous(X)))))&
(![X]:((~tall(X)|strong(X))=>~quiet(X)))&
(((tall(lucy)&~happy(lucy)))=>(?[X]:((~generous(X)|kind(X)))))&
(![X]:((rich(X)<~>~rich(X))=>(~happy(X)&~old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((old(X)|~calm(X)))))&
((?[X]:((funny(X)&~patient(X))))=>(?[X]:(qui... | ~old(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8434259277453451989461923
% SZS output start Proof for 8434259277453451989461923
4. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~old(X0) & ~happy(X0))) [input p3]
22. old(paul) [input hypothesis]
29. ! [X0] : ((~old(X0) & ~happy(X0)) | (rich(X0) <=> ~rich(X0))) [ennf transformation 4]
43. ! [X... | 0 |
If mary is both not curious and rich then fred is either tall or rich.
Everyone who is not wise or not curious is tall and vice versa.
Everyone who is not humble or creative is both quiet and strong.
If someone is not generous then someone is either curious or not happy and vice versa.
Everyone who is not tall is both ... | Fred is generous. | neutral | (((~curious(mary)&rich(mary)))=>((tall(fred)<~>rich(fred))))&
(![X]:((~wise(X)|~curious(X))<=>tall(X)))&
(![X]:((~humble(X)|creative(X))=>(quiet(X)&strong(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((curious(X)<~>~happy(X)))))&
(![X]:(~tall(X)<=>(~calm(X)&~kind(X))))&
((?[X]:((~humble(X)&~patient(X))))=>(?[X]:((~rich(X)<~>~... | generous(fred) | [] | null | 0 |
Everyone who is generous or not humble is quiet or curious.
Everyone who is either curious or not brave is generous and vice versa.
Everyone who is either happy or not curious is either not generous or wise and vice versa.
Everyone who is not old or generous is either tall or wise and vice versa.
Everyone who is not ge... | Susan is patient. | neutral | (![X]:((generous(X)|~humble(X))=>(quiet(X)|curious(X))))&
(![X]:((curious(X)<~>~brave(X))<=>generous(X)))&
(![X]:((happy(X)<~>~curious(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise... | patient(susan) | [] | null | 0 |
Everyone who is not creative or not kind is both curious and old and vice versa. If lucy is strong then mary is both not rich and brave and vice versa. Everyone who is either not curious or not tall is either patient or tall. Everyone who is not brave or not curious is tall. Everyone who is both not calm and strong is ... | Fred is creative. | entailment | (![X]:((~creative(X)|~kind(X))<=>(curious(X)&old(X))))&
((strong(lucy))<=>((~rich(mary)&brave(mary))))&
(![X]:((~curious(X)<~>~tall(X))=>(patient(X)<~>tall(X))))&
(![X]:((~brave(X)|~curious(X))=>tall(X)))&
(![X]:((~calm(X)&strong(X))=>(~generous(X)<~>~patient(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>((wise(mary)<~>calm(... | creative(fred) | [
"p0",
"p2",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2326936754019716374736908
% SZS output start Proof for 2326936754019716374736908
1. ! [X0] : ((~kind(X0) | ~creative(X0)) <=> (old(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> ~tall(X0)) => (patient(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((~curious(X0) | ~brave(X0)) =>... | 0 |
If susan is not wise then alice is either not patient or not calm.
Everyone who is tall is humble or not rich and vice versa.
Everyone who is either not strong or tall is strong or not kind.
Everyone who is either not happy or quiet is either not old or not brave.
Everyone who is either not wise or creative is happy an... | Alice is calm. | entailment | ((~wise(susan))=>((~patient(alice)<~>~calm(alice))))&
(![X]:(tall(X)<=>(humble(X)|~rich(X))))&
(![X]:((~strong(X)<~>tall(X))=>(strong(X)|~kind(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~old(X)<~>~brave(X))))&
(![X]:((~wise(X)<~>creative(X))<=>happy(X)))&
(![X]:((~funny(X)&calm(X))<=>(old(X)|~tall(X))))&
(((~wise(paul)&~pa... | calm(alice) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3147971478212986791731420
% SZS output start Proof for 3147971478212986791731420
6. ! [X0] : ((calm(X0) & ~funny(X0)) <=> (~tall(X0) | old(X0))) [input p5]
12. ! [X0] : ((old(X0) & ~happy(X0)) <=> tall(X0)) [input p11]
23. ~calm(alice) [input hypothesis]
45. ! [X0] : (((calm(X0) & ~funny(... | 0 |
If someone is happy or not patient then mary is both tall and kind and vice versa. Everyone who is not funny is not generous or not brave and vice versa. Everyone who is happy is both not creative and rich. Everyone who is not wise or quiet is either not strong or humble and vice versa. If someone is not humble then al... | Mary is creative. | entailment | ((?[X]:((happy(X)|~patient(X))))<=>((tall(mary)&kind(mary))))&
(![X]:(~funny(X)<=>(~generous(X)|~brave(X))))&
(![X]:(happy(X)=>(~creative(X)&rich(X))))&
(![X]:((~wise(X)|quiet(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:(~humble(X)))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~humble(X)<~>~calm(X))<=>(~kind(X)|rich(X))))&
... | creative(mary) | [
"p0",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 874386301319565333399375
% SZS output start Proof for 874386301319565333399375
1. ? [X0] : (~patient(X0) | happy(X0)) <=> (kind(mary) & tall(mary)) [input p0]
10. ! [X0] : ((creative(X0) & ~curious(X0)) <=> tall(X0)) [input p9]
21. ? [X0] : ~patient(X0) [input p20]
23. ~creative(mary) [in... | 0 |
Everyone who is wise or not funny is both tall and not happy and vice versa. Everyone who is both generous and humble is not generous and vice versa. Everyone who is both funny and patient is not old or not happy and vice versa. Everyone who is not happy is both not funny and not creative and vice versa. If someone is ... | Alice is not patient. | contradiction | (![X]:((wise(X)|~funny(X))<=>(tall(X)&~happy(X))))&
(![X]:((generous(X)&humble(X))<=>~generous(X)))&
(![X]:((funny(X)&patient(X))<=>(~old(X)|~happy(X))))&
(![X]:(~happy(X)<=>(~funny(X)&~creative(X))))&
((?[X]:((~creative(X)|patient(X))))=>(?[X]:((brave(X)<~>~patient(X)))))&
((creative(susan))<=>(?[X]:((~tall(X)|wise(X)... | ~patient(alice) | [
"p0",
"p1",
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5824902115899371746908693
% SZS output start Proof for 5824902115899371746908693
1. ! [X0] : ((~funny(X0) | wise(X0)) <=> (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((humble(X0) & generous(X0)) <=> ~generous(X0)) [input p1]
3. ! [X0] : ((patient(X0) & funny(X0)) <=> (~happy(X0) | ~ol... | 0 |
Everyone who is not calm or not curious is both wise and not rich and vice versa. If lucy is either patient or not kind then someone is brave or curious. If susan is not tall then paul is funny and vice versa. If mary is not brave or not curious then mary is both not generous and curious and vice versa. Everyone who is... | Alice is not strong. | contradiction | (![X]:((~calm(X)|~curious(X))<=>(wise(X)&~rich(X))))&
(((patient(lucy)<~>~kind(lucy)))=>(?[X]:((brave(X)|curious(X)))))&
((~tall(susan))<=>(funny(paul)))&
(((~brave(mary)|~curious(mary)))<=>((~generous(mary)&curious(mary))))&
(![X]:(curious(X)<=>(strong(X)&quiet(X))))&
((~kind(lucy))=>((curious(alice)&~curious(alice)))... | ~strong(alice) | [
"p0",
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1458343704880010571610924
% SZS output start Proof for 1458343704880010571610924
1. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (~rich(X0) & wise(X0))) [input p0]
5. ! [X0] : (curious(X0) <=> (quiet(X0) & strong(X0))) [input p4]
24. rich(alice) [input p23]
25. ~strong(alice) [input hypothesi... | 0 |
If someone is either funny or patient then someone is not kind or strong and vice versa.
Everyone who is both not generous and brave is not humble or not brave.
Everyone who is calm or not calm is both rich and strong and vice versa.
Everyone who is both patient and not kind is both not curious and not old and vice ver... | Alice is not rich. | contradiction | ((?[X]:((funny(X)<~>patient(X))))<=>(?[X]:((~kind(X)|strong(X)))))&
(![X]:((~generous(X)&brave(X))=>(~humble(X)|~brave(X))))&
(![X]:((calm(X)|~calm(X))<=>(rich(X)&strong(X))))&
(![X]:((patient(X)&~kind(X))<=>(~curious(X)&~old(X))))&
(![X]:((~curious(X)|~calm(X))=>(~wise(X)|~humble(X))))&
(((~calm(john)|~old(john)))<=>(... | ~rich(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5814495918197887002378582
% SZS output start Proof for 5814495918197887002378582
3. ! [X0] : ((~calm(X0) | calm(X0)) <=> (strong(X0) & rich(X0))) [input p2]
25. ~rich(alice) [input hypothesis]
42. ! [X0] : (((~calm(X0) | calm(X0)) | (~strong(X0) | ~rich(X0))) & ((strong(X0) & rich(X0)) | ... | 0 |
Everyone who is both not quiet and not generous is happy or not brave.
Everyone who is strong is not generous or rich.
If paul is not patient or kind then lucy is either brave or quiet.
Everyone who is not patient or not quiet is not calm.
If alice is both not calm and not curious then mary is not kind and vice versa.
... | Susan is not strong. | neutral | (![X]:((~quiet(X)&~generous(X))=>(happy(X)|~brave(X))))&
(![X]:(strong(X)=>(~generous(X)|rich(X))))&
(((~patient(paul)|kind(paul)))=>((brave(lucy)<~>quiet(lucy))))&
(![X]:((~patient(X)|~quiet(X))=>~calm(X)))&
(((~calm(alice)&~curious(alice)))<=>(~kind(mary)))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&~brave(X))))&
((?[... | ~strong(susan) | [] | null | 0 |
Everyone who is not brave or rich is not calm or not wise and vice versa.
Everyone who is both not tall and not curious is calm or generous and vice versa.
Everyone who is both calm and funny is not curious.
Everyone who is brave or not funny is either not funny or not wise and vice versa.
Everyone who is either not ki... | Mary is wise. | neutral | (![X]:((~brave(X)|rich(X))<=>(~calm(X)|~wise(X))))&
(![X]:((~tall(X)&~curious(X))<=>(calm(X)|generous(X))))&
(![X]:((calm(X)&funny(X))=>~curious(X)))&
(![X]:((brave(X)|~funny(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((~kind(X)<~>~creative(X))=>(~strong(X)|~wise(X))))&
(((strong(alice)<~>~funny(alice)))<=>((funny(susan)&~p... | wise(mary) | [] | null | 0 |
Everyone who is either not brave or not wise is both happy and not patient and vice versa. Everyone who is not happy or not tall is both rich and not strong and vice versa. If someone is both kind and not brave then someone is not funny or old and vice versa. Everyone who is not generous or not happy is both happy and ... | Paul is not kind. | neutral | (![X]:((~brave(X)<~>~wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&~strong(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(?[X]:((~funny(X)|old(X)))))&
(![X]:((~generous(X)|~happy(X))=>(happy(X)&~rich(X))))&
(![X]:((~strong(X)&old(X))=>(brave(X)|patient(X))))&
(((rich(alice)<~>old(alice)))<=>((pat... | ~kind(paul) | [] | null | 0 |
Everyone who is both not calm and brave is not calm or not tall and vice versa. Everyone who is wise or not kind is not humble or funny. If alice is not creative or humble then someone is both tall and rich and vice versa. Everyone who is either not brave or patient is either not brave or wise and vice versa. If john i... | Paul is wise. | entailment | (![X]:((~calm(X)&brave(X))<=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~humble(X)|funny(X))))&
(((~creative(alice)|humble(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((~brave(X)<~>patient(X))<=>(~brave(X)<~>wise(X))))&
(((~old(john)&~funny(john)))<=>((tall(paul)<~>quiet(paul))))&
(![X]:(creative(X)<=>(~quiet... | wise(paul) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4355999558978582350364908
% SZS output start Proof for 4355999558978582350364908
1. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (~tall(X0) | ~calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => (funny(X0) | ~humble(X0))) [input p1]
3. (humble(alice) | ~creative(alice)) <=> ? [X0] : (ri... | 0 |
If someone is patient then someone is either not funny or old.
Everyone who is happy or tall is either not curious or creative.
Everyone who is both tall and creative is not humble.
Everyone who is old or not wise is either not funny or patient.
If someone is creative or not curious then someone is both old and wise an... | Fred is not kind. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((old(X)&wise(X)))))&
((rich(paul))=>((~wise(john)&old(john))))&
(... | ~kind(fred) | [
"p2",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 817327924991448446915463
% SZS output start Proof for 817327924991448446915463
3. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p2]
5. ? [X0] : (~curious(X0) | creative(X0)) <=> ? [X0] : (wise(X0) & old(X0)) [input p4]
9. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [inp... | 0 |
If someone is not curious then susan is both not funny and not happy and vice versa. If someone is strong or not calm then paul is not strong or not old. If someone is either curious or happy then lucy is either wise or curious and vice versa. Everyone who is wise or not creative is either not generous or calm. If john... | Alice is not happy. | entailment | ((?[X]:(~curious(X)))<=>((~funny(susan)&~happy(susan))))&
((?[X]:((strong(X)|~calm(X))))=>((~strong(paul)|~old(paul))))&
((?[X]:((curious(X)<~>happy(X))))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)|~creative(X))=>(~generous(X)<~>calm(X))))&
(((~humble(john)&generous(john)))=>((~patient(paul)&~funny(paul))))&
(!... | ~happy(alice) | [
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3436961259564142005550805
% SZS output start Proof for 3436961259564142005550805
7. ! [X0] : (~happy(X0) <=> (quiet(X0) | kind(X0))) [input p6]
10. ! [X0] : (old(X0) <=> (happy(X0) | ~tall(X0))) [input p9]
11. ! [X0] : ((old(X0) | kind(X0)) <=> (strong(X0) & quiet(X0))) [input p10]
24. ha... | 0 |
If paul is not rich then someone is happy and vice versa.
If someone is not brave or not generous then someone is either not strong or old and vice versa.
Everyone who is either brave or not quiet is calm.
If someone is curious or not creative then someone is kind.
If someone is either not humble or tall then someone i... | Fred is not curious. | entailment | ((~rich(paul))<=>(?[X]:(happy(X))))&
((?[X]:((~brave(X)|~generous(X))))<=>(?[X]:((~strong(X)<~>old(X)))))&
(![X]:((brave(X)<~>~quiet(X))=>calm(X)))&
((?[X]:((curious(X)|~creative(X))))=>(?[X]:(kind(X))))&
((?[X]:((~humble(X)<~>tall(X))))=>(?[X]:(curious(X))))&
((?[X]:(patient(X)))<=>(humble(lucy)))&
(![X]:((brave(X)&~k... | ~curious(fred) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 207952734566680242455873
% SZS output start Proof for 207952734566680242455873
4. ? [X0] : (~creative(X0) | curious(X0)) => ? [X0] : kind(X0) [input p3]
7. ! [X0] : ((~kind(X0) & brave(X0)) <=> kind(X0)) [input p6]
23. curious(fred) [input hypothesis]
25. ? [X0] : (~creative(X0) | curious... | 0 |
If john is creative or not creative then lucy is not funny and vice versa.
Everyone who is either not patient or wise is wise.
If someone is humble or not funny then someone is either not wise or happy and vice versa.
If someone is calm or not happy then someone is old and vice versa.
If someone is not tall or old then... | Paul is generous. | entailment | (((creative(john)|~creative(john)))<=>(~funny(lucy)))&
(![X]:((~patient(X)<~>wise(X))=>wise(X)))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:((~wise(X)<~>happy(X)))))&
((?[X]:((calm(X)|~happy(X))))<=>(?[X]:(old(X))))&
((?[X]:((~tall(X)|old(X))))<=>((~happy(john)<~>~generous(john))))&
((~funny(susan))=>((~old(susan)&~quiet... | generous(paul) | [
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4079296143724622519810815
% SZS output start Proof for 4079296143724622519810815
12. ! [X0] : ((~calm(X0) | happy(X0)) <=> generous(X0)) [input p11]
15. ! [X0] : ((~humble(X0) & happy(X0)) <=> ~brave(X0)) [input p14]
22. ~kind(paul) & ~brave(paul) [input p21]
25. ~generous(paul) [input hy... | 0 |
Everyone who is humble or curious is both patient and wise and vice versa.
Everyone who is either generous or not wise is either strong or funny and vice versa.
Everyone who is either not brave or not tall is not brave.
If john is either humble or quiet then susan is rich or not old.
Everyone who is not brave or not hu... | John is wise. | entailment | (![X]:((humble(X)|curious(X))<=>(patient(X)&wise(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(strong(X)<~>funny(X))))&
(![X]:((~brave(X)<~>~tall(X))=>~brave(X)))&
(((humble(john)<~>quiet(john)))=>((rich(susan)|~old(susan))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)|happy(X))))&
(![X]:(brave(X)=>(brave(X)<~>~rich(X))))&
((... | wise(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 132738487682569831691959
% SZS output start Proof for 132738487682569831691959
10. ! [X0] : (~wise(X0) <=> (wise(X0) & tall(X0))) [input p9]
23. ~wise(john) [input hypothesis]
47. ! [X0] : ((~wise(X0) | (~wise(X0) | ~tall(X0))) & ((wise(X0) & tall(X0)) | wise(X0))) [nnf transformation 10]... | 0 |
If someone is tall or not happy then john is either funny or not rich and vice versa.
Everyone who is either not patient or funny is generous.
If someone is both not generous and kind then susan is both not strong and patient.
If lucy is either not rich or tall then someone is funny or not brave.
Everyone who is both n... | Lucy is creative. | contradiction | ((?[X]:((tall(X)|~happy(X))))<=>((funny(john)<~>~rich(john))))&
(![X]:((~patient(X)<~>funny(X))=>generous(X)))&
((?[X]:((~generous(X)&kind(X))))=>((~strong(susan)&patient(susan))))&
(((~rich(lucy)<~>tall(lucy)))=>(?[X]:((funny(X)|~brave(X)))))&
(![X]:((~quiet(X)&kind(X))=>(brave(X)|kind(X))))&
(((creative(alice)<~>gene... | creative(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7146178453131116007681079
% SZS output start Proof for 7146178453131116007681079
21. ~humble(lucy) & ~creative(lucy) [input p20]
24. creative(lucy) [input hypothesis]
127. ~creative(lucy) [cnf transformation 21]
132. creative(lucy) [cnf transformation 24]
289. $false [subsumption resoluti... | 0 |
If someone is old or not rich then someone is not patient and vice versa. Everyone who is both not generous and tall is both not funny and humble and vice versa. Everyone who is either not old or patient is not generous and vice versa. Everyone who is both not brave and not patient is either not patient or not wise and... | Fred is tall. | neutral | ((?[X]:((old(X)|~rich(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)&tall(X))<=>(~funny(X)&humble(X))))&
(![X]:((~old(X)<~>patient(X))<=>~generous(X)))&
(![X]:((~brave(X)&~patient(X))<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~happy(X))))&
(![X]:((~funny(X)<~>happy(X))<=>(generous(X)|ri... | tall(fred) | [] | null | 0 |
Everyone who is not funny or kind is either humble or not old and vice versa.
Everyone who is not calm or not brave is either happy or not calm.
Everyone who is both strong and tall is either not funny or curious.
Everyone who is funny is both not generous and humble and vice versa.
Everyone who is funny or not old is ... | John is calm. | entailment | (![X]:((~funny(X)|kind(X))<=>(humble(X)<~>~old(X))))&
(![X]:((~calm(X)|~brave(X))=>(happy(X)<~>~calm(X))))&
(![X]:((strong(X)&tall(X))=>(~funny(X)<~>curious(X))))&
(![X]:(funny(X)<=>(~generous(X)&humble(X))))&
(![X]:((funny(X)|~old(X))=>(~old(X)<~>~happy(X))))&
(![X]:(~calm(X)<=>(rich(X)&old(X))))&
(![X]:(strong(X)<=>(... | calm(john) | [
"p0",
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3055564763854414624909591
% SZS output start Proof for 3055564763854414624909591
1. ! [X0] : ((kind(X0) | ~funny(X0)) <=> (humble(X0) <~> ~old(X0))) [input p0]
4. ! [X0] : (funny(X0) <=> (humble(X0) & ~generous(X0))) [input p3]
6. ! [X0] : (~calm(X0) <=> (old(X0) & rich(X0))) [input p5]
1... | 0 |
If someone is not tall or funny then mary is not creative or not strong and vice versa.
If susan is either not quiet or generous then paul is either happy or not patient and vice versa.
If alice is not kind then fred is not kind.
If someone is not curious then lucy is either not patient or humble.
Everyone who is not q... | Alice is strong. | entailment | ((?[X]:((~tall(X)|funny(X))))<=>((~creative(mary)|~strong(mary))))&
(((~quiet(susan)<~>generous(susan)))<=>((happy(paul)<~>~patient(paul))))&
((~kind(alice))=>(~kind(fred)))&
((?[X]:(~curious(X)))=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~quiet(X)|~tall(X))=>happy(X)))&
((?[X]:((~wise(X)|generous(X))))<=>((tall(pau... | strong(alice) | [
"p4",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2503617375424187715739850
% SZS output start Proof for 2503617375424187715739850
5. ! [X0] : ((~tall(X0) | ~quiet(X0)) => happy(X0)) [input p4]
10. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> (~rich(X0) & rich(X0))) [input p9]
12. ! [X0] : ((~old(X0) | happy(X0)) => (kind(X0) & ~kind(X0))) [... | 0 |
Everyone who is not old is not quiet. Everyone who is both creative and not brave is not wise and vice versa. Everyone who is kind is not strong or rich. Everyone who is not quiet or wise is patient. Everyone who is either not kind or not generous is either not old or calm and vice versa. Everyone who is both generous ... | Lucy is not humble. | contradiction | (![X]:(~old(X)=>~quiet(X)))&
(![X]:((creative(X)&~brave(X))<=>~wise(X)))&
(![X]:(kind(X)=>(~strong(X)|rich(X))))&
(![X]:((~quiet(X)|wise(X))=>patient(X)))&
(![X]:((~kind(X)<~>~generous(X))<=>(~old(X)<~>calm(X))))&
(![X]:((generous(X)&strong(X))<=>(tall(X)|~tall(X))))&
((?[X]:((~wise(X)&old(X))))=>((~creative(mary)|tall... | ~humble(lucy) | [
"p1",
"p3",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 541506661819131515555301
% SZS output start Proof for 541506661819131515555301
2. ! [X0] : ((~brave(X0) & creative(X0)) <=> ~wise(X0)) [input p1]
4. ! [X0] : ((wise(X0) | ~quiet(X0)) => patient(X0)) [input p3]
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (~tall(X0) | tall(X0))) [input p5]... | 0 |
If someone is brave or wise then lucy is either calm or quiet and vice versa.
Everyone who is not strong or happy is either not kind or kind and vice versa.
Everyone who is either not brave or not tall is patient and vice versa.
Everyone who is not rich is quiet and vice versa.
Everyone who is strong or old is not happ... | Mary is kind. | entailment | ((?[X]:((brave(X)|wise(X))))<=>((calm(lucy)<~>quiet(lucy))))&
(![X]:((~strong(X)|happy(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((~brave(X)<~>~tall(X))<=>patient(X)))&
(![X]:(~rich(X)<=>quiet(X)))&
(![X]:((strong(X)|old(X))=>~happy(X)))&
(![X]:((~quiet(X)|wise(X))<=>(generous(X)|brave(X))))&
((old(fred))<=>(?[X]:((~patient(... | kind(mary) | [
"p4",
"p10",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5489747252141676641950279
% SZS output start Proof for 5489747252141676641950279
5. ! [X0] : ((old(X0) | strong(X0)) => ~happy(X0)) [input p4]
11. ! [X0] : ((happy(X0) <~> calm(X0)) => (~patient(X0) & kind(X0))) [input p10]
13. ! [X0] : ((~old(X0) <~> ~quiet(X0)) <=> (~quiet(X0) | ~curiou... | 0 |
If someone is patient or not patient then someone is either funny or humble and vice versa.
If alice is not happy or not generous then someone is not funny and vice versa.
Everyone who is either funny or humble is funny or not humble and vice versa.
If someone is not brave or not kind then alice is either patient or qu... | Fred is wise. | neutral | ((?[X]:((patient(X)|~patient(X))))<=>(?[X]:((funny(X)<~>humble(X)))))&
(((~happy(alice)|~generous(alice)))<=>(?[X]:(~funny(X))))&
(![X]:((funny(X)<~>humble(X))<=>(funny(X)|~humble(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>((patient(alice)<~>quiet(alice))))&
((old(paul))<=>(?[X]:((patient(X)&~humble(X)))))&
(![X]:((~wise(... | wise(fred) | [] | null | 0 |
If john is either not generous or not brave then someone is both not old and not happy and vice versa.
Everyone who is both kind and not creative is happy or humble and vice versa.
If mary is either not curious or not happy then someone is curious or not humble and vice versa.
If someone is not creative then paul is no... | Paul is not creative. | entailment | (((~generous(john)<~>~brave(john)))<=>(?[X]:((~old(X)&~happy(X)))))&
(![X]:((kind(X)&~creative(X))<=>(happy(X)|humble(X))))&
(((~curious(mary)<~>~happy(mary)))<=>(?[X]:((curious(X)|~humble(X)))))&
((?[X]:(~creative(X)))=>(~humble(paul)))&
(![X]:((~strong(X)&funny(X))<=>~strong(X)))&
(![X]:((~brave(X)<~>brave(X))<=>(qui... | ~creative(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3217171486029228553112536
% SZS output start Proof for 3217171486029228553112536
6. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (~creative(X0) & quiet(X0))) [input p5]
25. creative(paul) [input hypothesis]
46. ! [X0] : ((((~brave(X0) | brave(X0)) & (brave(X0) | ~brave(X0))) | (creative(X0) |... | 0 |
Everyone who is calm is not humble or not brave and vice versa. Everyone who is both not rich and not funny is both patient and not patient. If someone is both not quiet and rich then susan is not kind. If someone is both not strong and not generous then someone is either not quiet or rich. Everyone who is both rich an... | Susan is generous. | entailment | (![X]:(calm(X)<=>(~humble(X)|~brave(X))))&
(![X]:((~rich(X)&~funny(X))=>(patient(X)&~patient(X))))&
((?[X]:((~quiet(X)&rich(X))))=>(~kind(susan)))&
((?[X]:((~strong(X)&~generous(X))))=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((rich(X)&~generous(X))=>patient(X)))&
((?[X]:(kind(X)))<=>((strong(susan)<~>humble(susan))))&
(... | generous(susan) | [
"p4",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 75341918821780783723722
% SZS output start Proof for 75341918821780783723722
5. ! [X0] : ((~generous(X0) & rich(X0)) => patient(X0)) [input p4]
12. ! [X0] : ((~calm(X0) & ~rich(X0)) <=> (wise(X0) <~> ~patient(X0))) [input p11]
14. ! [X0] : (patient(X0) => (strong(X0) & wise(X0))) [input p... | 0 |
Everyone who is wise or not funny is both tall and not happy and vice versa. Everyone who is both generous and humble is not generous and vice versa. Everyone who is both funny and patient is not old or not happy and vice versa. Everyone who is not happy is both not funny and not creative and vice versa. If someone is ... | John is wise. | contradiction | (![X]:((wise(X)|~funny(X))<=>(tall(X)&~happy(X))))&
(![X]:((generous(X)&humble(X))<=>~generous(X)))&
(![X]:((funny(X)&patient(X))<=>(~old(X)|~happy(X))))&
(![X]:(~happy(X)<=>(~funny(X)&~creative(X))))&
((?[X]:((~creative(X)|patient(X))))=>(?[X]:((brave(X)<~>~patient(X)))))&
((creative(susan))<=>(?[X]:((~tall(X)|wise(X)... | wise(john) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 393764405825311722386927
% SZS output start Proof for 393764405825311722386927
1. ! [X0] : ((~funny(X0) | wise(X0)) <=> (~happy(X0) & tall(X0))) [input p0]
3. ! [X0] : ((patient(X0) & funny(X0)) <=> (~happy(X0) | ~old(X0))) [input p2]
4. ! [X0] : (~happy(X0) <=> (~creative(X0) & ~funny(X0... | 0 |
If alice is both curious and not strong then someone is kind or not funny.
Everyone who is both not old and not wise is both not quiet and kind.
If someone is either not patient or not old then someone is humble.
If susan is not wise or patient then john is strong or not strong.
Everyone who is patient is both creative... | Lucy is patient. | contradiction | (((curious(alice)&~strong(alice)))=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~old(X)&~wise(X))=>(~quiet(X)&kind(X))))&
((?[X]:((~patient(X)<~>~old(X))))=>(?[X]:(humble(X))))&
(((~wise(susan)|patient(susan)))=>((strong(john)|~strong(john))))&
(![X]:(patient(X)<=>(creative(X)&~patient(X))))&
(((calm(lucy)<~>~funny(lucy)))<... | patient(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5004927451545581554270039
% SZS output start Proof for 5004927451545581554270039
5. ! [X0] : (patient(X0) <=> (~patient(X0) & creative(X0))) [input p4]
24. patient(lucy) [input hypothesis]
41. ! [X0] : ((patient(X0) | (patient(X0) | ~creative(X0))) & ((~patient(X0) & creative(X0)) | ~pati... | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Fred is not creative. | contradiction | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | ~creative(fred) | [
"p1",
"p2",
"p4",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5663624746936964083438787
% SZS output start Proof for 5663624746936964083438787
2. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (quiet(X0) & generous(X0))) [input p1]
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : (~creative(X0) => (~happy(X0) & strong(X0))) [input p4]
12.... | 0 |
If fred is funny then alice is either brave or not wise and vice versa.
Everyone who is both not creative and not quiet is either not rich or rich and vice versa.
Everyone who is either humble or not strong is not calm or tall and vice versa.
If someone is not quiet then someone is not wise and vice versa.
If someone i... | Susan is curious. | entailment | ((funny(fred))<=>((brave(alice)<~>~wise(alice))))&
(![X]:((~creative(X)&~quiet(X))<=>(~rich(X)<~>rich(X))))&
(![X]:((humble(X)<~>~strong(X))<=>(~calm(X)|tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(~wise(X))))&
((?[X]:(patient(X)))=>((~patient(lucy)|humble(lucy))))&
(![X]:(~curious(X)=>(old(X)<~>calm(X))))&
(![X]:((rich(X)... | curious(susan) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1398698284137267665469529
% SZS output start Proof for 1398698284137267665469529
12. ! [X0] : (humble(X0) <=> calm(X0)) [input p11]
14. ? [X0] : (~strong(X0) | ~curious(X0)) <=> ? [X0] : (~calm(X0) <~> ~humble(X0)) [input p13]
24. ~curious(susan) [input hypothesis]
27. ? [X0] : (~strong(X... | 0 |
If john is either funny or kind then mary is not kind or kind. Everyone who is both not happy and quiet is either quiet or creative. Everyone who is happy or creative is patient and vice versa. If someone is not brave then mary is happy. If someone is both not quiet and not humble then alice is not generous. If fred is... | Mary is not patient. | entailment | (((funny(john)<~>kind(john)))=>((~kind(mary)|kind(mary))))&
(![X]:((~happy(X)&quiet(X))=>(quiet(X)<~>creative(X))))&
(![X]:((happy(X)|creative(X))<=>patient(X)))&
((?[X]:(~brave(X)))=>(happy(mary)))&
((?[X]:((~quiet(X)&~humble(X))))=>(~generous(alice)))&
((~happy(fred))<=>(?[X]:((~curious(X)<~>~humble(X)))))&
(![X]:((w... | ~patient(mary) | [
"p1",
"p2",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5448293099170169401351642
% SZS output start Proof for 5448293099170169401351642
2. ! [X0] : ((quiet(X0) & ~happy(X0)) => (quiet(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((creative(X0) | happy(X0)) <=> patient(X0)) [input p2]
9. ? [X0] : (~kind(X0) | ~tall(X0)) <=> ~happy(mary) [inpu... | 0 |
Everyone who is both funny and not calm is either happy or not funny and vice versa.
Everyone who is strong or not humble is either not strong or calm and vice versa.
Everyone who is both not strong and not old is quiet.
Everyone who is either not wise or not patient is both not patient and not funny and vice versa.
Ev... | John is not old. | contradiction | (![X]:((funny(X)&~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((strong(X)|~humble(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((~strong(X)&~old(X))=>quiet(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(~patient(X)&~funny(X))))&
(![X]:(quiet(X)=>(curious(X)&old(X))))&
(![X]:(~funny(X)=>(happy(X)&~strong(X))))&
((?[X]:((brave(X)<~>~p... | ~old(john) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6863612498002361778844900
% SZS output start Proof for 6863612498002361778844900
1. ! [X0] : ((~calm(X0) & funny(X0)) <=> (happy(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~strong(X0) <~> calm(X0))) [input p1]
3. ! [X0] : ((~old(X0) & ~strong(X0)) => quie... | 0 |
Everyone who is both quiet and humble is both not humble and quiet.
If fred is both generous and old then someone is not tall.
If john is not tall then someone is generous and vice versa.
If someone is not rich then alice is not rich.
If john is both not rich and quiet then someone is both not funny and creative and vi... | Paul is creative. | neutral | (![X]:((quiet(X)&humble(X))=>(~humble(X)&quiet(X))))&
(((generous(fred)&old(fred)))=>(?[X]:(~tall(X))))&
((~tall(john))<=>(?[X]:(generous(X))))&
((?[X]:(~rich(X)))=>(~rich(alice)))&
(((~rich(john)&quiet(john)))<=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((kind(X)&happy(X))<=>(~wise(X)<~>old(X))))&
(![X]:(~funny(X)=>(ta... | creative(paul) | [] | null | 0 |
Everyone who is generous is both calm and generous and vice versa.
Everyone who is not creative is not strong or not patient and vice versa.
If alice is either calm or not humble then someone is tall.
Everyone who is patient is humble and vice versa.
If fred is rich then mary is both not curious and not generous and vi... | Fred is patient. | entailment | (![X]:(generous(X)<=>(calm(X)&generous(X))))&
(![X]:(~creative(X)<=>(~strong(X)|~patient(X))))&
(((calm(alice)<~>~humble(alice)))=>(?[X]:(tall(X))))&
(![X]:(patient(X)<=>humble(X)))&
((rich(fred))<=>((~curious(mary)&~generous(mary))))&
((?[X]:((~old(X)<~>patient(X))))<=>(generous(susan)))&
(![X]:((funny(X)&~generous(X)... | patient(fred) | [
"p1",
"p3",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6453826151135240548881747
% SZS output start Proof for 6453826151135240548881747
2. ! [X0] : (~creative(X0) <=> (~patient(X0) | ~strong(X0))) [input p1]
4. ! [X0] : (patient(X0) <=> humble(X0)) [input p3]
11. ! [X0] : (~happy(X0) <=> (~wise(X0) | ~creative(X0))) [input p10]
14. ! [X0] : (... | 0 |
If susan is either not old or not happy then someone is happy and vice versa. Everyone who is either not curious or not happy is either curious or old and vice versa. Everyone who is either happy or strong is both not calm and rich. If mary is happy then lucy is rich or tall. Everyone who is tall is not old or quiet an... | Fred is tall. | entailment | (((~old(susan)<~>~happy(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~curious(X)<~>~happy(X))<=>(curious(X)<~>old(X))))&
(![X]:((happy(X)<~>strong(X))=>(~calm(X)&rich(X))))&
((happy(mary))=>((rich(lucy)|tall(lucy))))&
(![X]:(tall(X)<=>(~old(X)|quiet(X))))&
((?[X]:((~tall(X)&tall(X))))=>(?[X]:((happy(X)<~>funny(X)))))&
(((hap... | tall(fred) | [
"p1",
"p4",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4087566335125012236551871
% SZS output start Proof for 4087566335125012236551871
2. ! [X0] : ((~curious(X0) <~> ~happy(X0)) <=> (curious(X0) <~> old(X0))) [input p1]
5. ! [X0] : (tall(X0) <=> (quiet(X0) | ~old(X0))) [input p4]
8. (~kind(alice) & creative(alice)) <=> ? [X0] : happy(X0) [in... | 0 |
If paul is not humble then lucy is both not creative and not calm and vice versa.
If paul is creative or not generous then someone is both old and strong.
If paul is not funny then paul is humble or not quiet.
If john is generous then mary is strong and vice versa.
Everyone who is both not wise and generous is not kind... | Mary is not generous. | neutral | ((~humble(paul))<=>((~creative(lucy)&~calm(lucy))))&
(((creative(paul)|~generous(paul)))=>(?[X]:((old(X)&strong(X)))))&
((~funny(paul))=>((humble(paul)|~quiet(paul))))&
((generous(john))<=>(strong(mary)))&
(![X]:((~wise(X)&generous(X))<=>(~kind(X)|~brave(X))))&
(((tall(lucy)<~>~humble(lucy)))<=>(?[X]:((curious(X)<~>tal... | ~generous(mary) | [] | null | 0 |
Everyone who is both rich and funny is not humble or brave.
If mary is happy or not tall then mary is both creative and not humble.
Everyone who is not rich or not humble is both not creative and not curious and vice versa.
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or n... | Paul is not wise. | contradiction | (![X]:((rich(X)&funny(X))=>(~humble(X)|brave(X))))&
(((happy(mary)|~tall(mary)))=>((creative(mary)&~humble(mary))))&
(![X]:((~rich(X)|~humble(X))<=>(~creative(X)&~curious(X))))&
(![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:... | ~wise(paul) | [
"p0",
"p2",
"p3",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5263147016771129480462771
% SZS output start Proof for 5263147016771129480462771
1. ! [X0] : ((funny(X0) & rich(X0)) => (brave(X0) | ~humble(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (~curious(X0) & ~creative(X0))) [input p2]
4. ! [X0] : (creative(X0) <=> (~generous(X0) ... | 0 |
If someone is not strong then john is both not rich and rich and vice versa. Everyone who is either not quiet or patient is not patient. If someone is either creative or humble then someone is either wise or not kind. Everyone who is both curious and tall is both calm and strong. If mary is rich then someone is not tal... | Paul is not rich. | entailment | ((?[X]:(~strong(X)))<=>((~rich(john)&rich(john))))&
(![X]:((~quiet(X)<~>patient(X))=>~patient(X)))&
((?[X]:((creative(X)<~>humble(X))))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((curious(X)&tall(X))=>(calm(X)&strong(X))))&
((rich(mary))=>(?[X]:((~tall(X)|~creative(X)))))&
(((calm(alice)&~curious(alice)))<=>(creative(paul... | ~rich(paul) | [
"p0",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8209636194446703357435959
% SZS output start Proof for 8209636194446703357435959
1. ? [X0] : ~strong(X0) <=> (rich(john) & ~rich(john)) [input p0]
9. ! [X0] : ((~calm(X0) | kind(X0)) => (creative(X0) & ~humble(X0))) [input p8]
15. ! [X0] : (rich(X0) => (~calm(X0) & ~curious(X0))) [input p... | 0 |
Everyone who is not happy or strong is either generous or not rich.
Everyone who is both wise and creative is not creative or rich and vice versa.
Everyone who is either kind or not wise is not funny or not happy and vice versa.
Everyone who is not old is humble and vice versa.
If john is not strong then john is not ca... | Alice is not strong. | contradiction | (![X]:((~happy(X)|strong(X))=>(generous(X)<~>~rich(X))))&
(![X]:((wise(X)&creative(X))<=>(~creative(X)|rich(X))))&
(![X]:((kind(X)<~>~wise(X))<=>(~funny(X)|~happy(X))))&
(![X]:(~old(X)<=>humble(X)))&
((~strong(john))=>(~calm(john)))&
(![X]:((brave(X)|~funny(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((~kind(X)<~>~creative(X... | ~strong(alice) | [
"p1",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4352762510852237695303415
% SZS output start Proof for 4352762510852237695303415
2. ! [X0] : ((creative(X0) & wise(X0)) <=> (rich(X0) | ~creative(X0))) [input p1]
6. ! [X0] : ((~funny(X0) | brave(X0)) <=> (~funny(X0) <~> ~wise(X0))) [input p5]
8. (strong(alice) <~> ~funny(alice)) <=> (~pa... | 0 |
Everyone who is both kind and not curious is both creative and not quiet. Everyone who is either calm or brave is both curious and not curious. Everyone who is funny is strong or rich and vice versa. Everyone who is both happy and strong is quiet or kind. Everyone who is not curious is generous or happy. Everyone who i... | Alice is curious. | entailment | (![X]:((kind(X)&~curious(X))=>(creative(X)&~quiet(X))))&
(![X]:((calm(X)<~>brave(X))=>(curious(X)&~curious(X))))&
(![X]:(funny(X)<=>(strong(X)|rich(X))))&
(![X]:((happy(X)&strong(X))=>(quiet(X)|kind(X))))&
(![X]:(~curious(X)=>(generous(X)|happy(X))))&
(![X]:((generous(X)|humble(X))<=>(~old(X)&tall(X))))&
((?[X]:((~quie... | curious(alice) | [
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1267230845660833153120562
% SZS output start Proof for 1267230845660833153120562
6. ! [X0] : ((humble(X0) | generous(X0)) <=> (tall(X0) & ~old(X0))) [input p5]
11. ! [X0] : ((~kind(X0) | ~humble(X0)) => (~old(X0) & calm(X0))) [input p10]
13. ! [X0] : ((~curious(X0) | strong(X0)) <=> old(X... | 0 |
If mary is not generous or not quiet then someone is either old or patient and vice versa.
If someone is old or not curious then someone is calm.
Everyone who is tall or patient is both not curious and not calm.
If mary is either not kind or happy then susan is not quiet.
Everyone who is either funny or not patient is ... | Fred is not funny. | entailment | (((~generous(mary)|~quiet(mary)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((old(X)|~curious(X))))=>(?[X]:(calm(X))))&
(![X]:((tall(X)|patient(X))=>(~curious(X)&~calm(X))))&
(((~kind(mary)<~>happy(mary)))=>(~quiet(susan)))&
(![X]:((funny(X)<~>~patient(X))<=>(~quiet(X)|strong(X))))&
(![X]:((happy(X)|strong(X))<=>(brave... | ~funny(fred) | [
"p1",
"p2",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 74623285686584760958045
% SZS output start Proof for 74623285686584760958045
2. ? [X0] : (~curious(X0) | old(X0)) => ? [X0] : calm(X0) [input p1]
3. ! [X0] : ((patient(X0) | tall(X0)) => (~calm(X0) & ~curious(X0))) [input p2]
9. ! [X0] : ((curious(X0) | ~creative(X0)) => (~funny(X0) | ~ha... | 0 |
Everyone who is calm is happy.
Everyone who is not generous is both happy and generous and vice versa.
If someone is not creative or creative then someone is both not strong and not funny and vice versa.
If someone is not creative then someone is either happy or not generous and vice versa.
If someone is not creative t... | Paul is not old. | entailment | (![X]:(calm(X)=>happy(X)))&
(![X]:(~generous(X)<=>(happy(X)&generous(X))))&
((?[X]:((~creative(X)|creative(X))))<=>(?[X]:((~strong(X)&~funny(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((happy(X)<~>~generous(X)))))&
((?[X]:(~creative(X)))=>((brave(john)&strong(john))))&
(![X]:((old(X)&generous(X))<=>(calm(X)&~generous(X))))... | ~old(paul) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4738807909693311982489480
% SZS output start Proof for 4738807909693311982489480
2. ! [X0] : (~generous(X0) <=> (generous(X0) & happy(X0))) [input p1]
6. ! [X0] : ((generous(X0) & old(X0)) <=> (~generous(X0) & calm(X0))) [input p5]
22. old(paul) [input hypothesis]
36. ! [X0] : ((~generous... | 0 |
Everyone who is quiet is both tall and not quiet.
Everyone who is wise or not old is funny or not brave and vice versa.
Everyone who is not calm is both not strong and wise and vice versa.
If fred is both not strong and kind then lucy is kind.
Everyone who is either patient or not old is not creative or not calm and vi... | Susan is funny. | entailment | (![X]:(quiet(X)=>(tall(X)&~quiet(X))))&
(![X]:((wise(X)|~old(X))<=>(funny(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~strong(X)&wise(X))))&
(((~strong(fred)&kind(fred)))=>(kind(lucy)))&
(![X]:((patient(X)<~>~old(X))<=>(~creative(X)|~calm(X))))&
(![X]:((funny(X)|~brave(X))=>(~wise(X)<~>~kind(X))))&
(![X]:(old(X)<=>curious(X)))... | funny(susan) | [
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2622341833799363265385437
% SZS output start Proof for 2622341833799363265385437
11. ? [X0] : (rich(X0) | ~humble(X0)) <=> funny(susan) [input p10]
24. ~old(paul) & rich(paul) [input p23]
25. ~funny(susan) [input hypothesis]
47. (? [X0] : (rich(X0) | ~humble(X0)) | ~funny(susan)) & (funny... | 0 |
If someone is either happy or not calm then susan is not happy.
If mary is either humble or not old then someone is either not old or quiet.
If susan is both brave and not funny then paul is not patient or strong.
Everyone who is not old is both kind and generous.
Everyone who is not curious is either not funny or not ... | Alice is curious. | entailment | ((?[X]:((happy(X)<~>~calm(X))))=>(~happy(susan)))&
(((humble(mary)<~>~old(mary)))=>(?[X]:((~old(X)<~>quiet(X)))))&
(((brave(susan)&~funny(susan)))=>((~patient(paul)|strong(paul))))&
(![X]:(~old(X)=>(kind(X)&generous(X))))&
(![X]:(~curious(X)=>(~funny(X)<~>~strong(X))))&
(![X]:((kind(X)|~old(X))<=>(creative(X)|~generous... | curious(alice) | [
"p4",
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4523174017019881635957301
% SZS output start Proof for 4523174017019881635957301
5. ! [X0] : (~curious(X0) => (~funny(X0) <~> ~strong(X0))) [input p4]
7. ! [X0] : (patient(X0) <=> (creative(X0) | ~wise(X0))) [input p6]
10. ! [X0] : ((~curious(X0) <~> creative(X0)) <=> (~funny(X0) | patien... | 0 |
Everyone who is both not tall and kind is either not creative or calm and vice versa.
If mary is both not brave and old then mary is either not old or rich.
Everyone who is not kind is either not creative or patient.
Everyone who is not old is either not funny or not happy and vice versa.
Everyone who is either calm or... | Fred is patient. | neutral | (![X]:((~tall(X)&kind(X))<=>(~creative(X)<~>calm(X))))&
(((~brave(mary)&old(mary)))=>((~old(mary)<~>rich(mary))))&
(![X]:(~kind(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)<=>(~funny(X)<~>~happy(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(happy(X)<~>generous(X))))&
(![X]:(humble(X)<=>(patient(X)<~>~rich(X))))&
((?[X]:(... | patient(fred) | [] | null | 0 |
Everyone who is both generous and not calm is not kind and vice versa. Everyone who is quiet is patient or curious. If someone is either not strong or not creative then someone is either humble or not curious. Everyone who is not curious is calm or patient and vice versa. Everyone who is both old and not brave is eithe... | Lucy is not brave. | neutral | (![X]:((generous(X)&~calm(X))<=>~kind(X)))&
(![X]:(quiet(X)=>(patient(X)|curious(X))))&
((?[X]:((~strong(X)<~>~creative(X))))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>(calm(X)|patient(X))))&
(![X]:((old(X)&~brave(X))<=>(creative(X)<~>~old(X))))&
(![X]:((creative(X)&~generous(X))<=>old(X)))&
(![X]:((ol... | ~brave(lucy) | [] | null | 0 |
If someone is both generous and funny then someone is quiet or not tall and vice versa. Everyone who is not strong or not calm is not happy and vice versa. Everyone who is both strong and not kind is both not quiet and strong and vice versa. Everyone who is either patient or not creative is both not curious and not gen... | John is happy. | neutral | ((?[X]:((generous(X)&funny(X))))<=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~strong(X)|~calm(X))<=>~happy(X)))&
(![X]:((strong(X)&~kind(X))<=>(~quiet(X)&strong(X))))&
(![X]:((patient(X)<~>~creative(X))<=>(~curious(X)&~generous(X))))&
(((funny(fred)|~humble(fred)))<=>((~generous(john)<~>~calm(john))))&
(![X]:((strong(X)&c... | happy(john) | [] | null | 0 |
If someone is not brave then someone is either not brave or not wise and vice versa. Everyone who is quiet or not calm is either brave or kind and vice versa. Everyone who is not rich or brave is not creative and vice versa. Everyone who is both not patient and not curious is kind or brave. If fred is both wise and not... | Susan is not strong. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((quiet(X)|~calm(X))<=>(brave(X)<~>kind(X))))&
(![X]:((~rich(X)|brave(X))<=>~creative(X)))&
(![X]:((~patient(X)&~curious(X))=>(kind(X)|brave(X))))&
(((wise(fred)&~rich(fred)))<=>(?[X]:((quiet(X)&old(X)))))&
(![X]:((patient(X)<~>~happy(X))=>(~creative(X)&~kin... | ~strong(susan) | [] | null | 0 |
If fred is either not tall or not kind then paul is creative or brave and vice versa.
Everyone who is not curious or funny is both brave and not strong and vice versa.
Everyone who is humble or not strong is funny and vice versa.
Everyone who is generous is not old or quiet and vice versa.
If someone is not humble then... | Fred is curious. | contradiction | (((~tall(fred)<~>~kind(fred)))<=>((creative(paul)|brave(paul))))&
(![X]:((~curious(X)|funny(X))<=>(brave(X)&~strong(X))))&
(![X]:((humble(X)|~strong(X))<=>funny(X)))&
(![X]:(generous(X)<=>(~old(X)|quiet(X))))&
((?[X]:(~humble(X)))=>((~funny(john)<~>funny(john))))&
(![X]:(wise(X)=>~happy(X)))&
(![X]:((wise(X)&funny(X))<... | curious(fred) | [
"p1",
"p2",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 278336979043993073917987
% SZS output start Proof for 278336979043993073917987
2. ! [X0] : ((funny(X0) | ~curious(X0)) <=> (~strong(X0) & brave(X0))) [input p1]
3. ! [X0] : ((~strong(X0) | humble(X0)) <=> funny(X0)) [input p2]
8. ? [X0] : (~calm(X0) | curious(X0)) => strong(mary) [input p... | 0 |
Everyone who is either not curious or wise is both not humble and calm.
Everyone who is patient or not humble is not old or creative.
Everyone who is kind is not curious or not creative and vice versa.
If john is not funny then lucy is either wise or not creative.
If someone is either happy or not patient then john is ... | Alice is not patient. | neutral | (![X]:((~curious(X)<~>wise(X))=>(~humble(X)&calm(X))))&
(![X]:((patient(X)|~humble(X))=>(~old(X)|creative(X))))&
(![X]:(kind(X)<=>(~curious(X)|~creative(X))))&
((~funny(john))=>((wise(lucy)<~>~creative(lucy))))&
((?[X]:((happy(X)<~>~patient(X))))=>((~funny(john)|kind(john))))&
((?[X]:((~brave(X)|funny(X))))<=>((~humble... | ~patient(alice) | [] | null | 0 |
Everyone who is both not patient and not curious is rich.
If someone is both humble and not creative then someone is both humble and happy.
Everyone who is either rich or old is not humble and vice versa.
If someone is both calm and not wise then someone is either not wise or quiet.
Everyone who is generous or not funn... | John is not old. | contradiction | (![X]:((~patient(X)&~curious(X))=>rich(X)))&
((?[X]:((humble(X)&~creative(X))))=>(?[X]:((humble(X)&happy(X)))))&
(![X]:((rich(X)<~>old(X))<=>~humble(X)))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((generous(X)|~funny(X))<=>(curious(X)|~curious(X))))&
((?[X]:((~curious(X)|~kind(X))))<=>(stron... | ~old(john) | [
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 46080488052515904933982
% SZS output start Proof for 46080488052515904933982
5. ! [X0] : ((~funny(X0) | generous(X0)) <=> (~curious(X0) | curious(X0))) [input p4]
7. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (~old(X0) | ~strong(X0))) [input p6]
12. ! [X0] : (~old(X0) <=> (funny(X0) | ~ge... | 0 |
If mary is both not tall and generous then paul is both generous and curious.
If susan is humble or calm then someone is both old and not curious and vice versa.
Everyone who is either rich or strong is quiet or not generous and vice versa.
Everyone who is not funny is humble or not brave.
If lucy is either not wise or... | Mary is calm. | neutral | (((~tall(mary)&generous(mary)))=>((generous(paul)&curious(paul))))&
(((humble(susan)|calm(susan)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((rich(X)<~>strong(X))<=>(quiet(X)|~generous(X))))&
(![X]:(~funny(X)=>(humble(X)|~brave(X))))&
(((~wise(lucy)<~>strong(lucy)))=>((~rich(lucy)|~funny(lucy))))&
(![X]:((rich(X)|~quiet... | calm(mary) | [] | null | 0 |
Everyone who is not curious is both old and not happy.
Everyone who is both old and not strong is kind or not tall and vice versa.
Everyone who is kind is either not generous or calm.
Everyone who is not tall is either curious or not creative and vice versa.
Everyone who is either humble or tall is both creative and no... | John is not curious. | entailment | (![X]:(~curious(X)=>(old(X)&~happy(X))))&
(![X]:((old(X)&~strong(X))<=>(kind(X)|~tall(X))))&
(![X]:(kind(X)=>(~generous(X)<~>calm(X))))&
(![X]:(~tall(X)<=>(curious(X)<~>~creative(X))))&
(![X]:((humble(X)<~>tall(X))<=>(creative(X)&~rich(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>~brave(X)))&
((?[X]:((old(X)&~generous(X)))... | ~curious(john) | [
"p1",
"p3",
"p5",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8508549306853289867776156
% SZS output start Proof for 8508549306853289867776156
2. ! [X0] : ((~strong(X0) & old(X0)) <=> (~tall(X0) | kind(X0))) [input p1]
4. ! [X0] : (~tall(X0) <=> (curious(X0) <~> ~creative(X0))) [input p3]
6. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> ~brave(X0)) [in... | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Paul is rich. | entailment | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | rich(paul) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4149696993938242263618644
% SZS output start Proof for 4149696993938242263618644
1. ! [X0] : ((wise(X0) <~> strong(X0)) <=> (curious(X0) | calm(X0))) [input p0]
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
7. wise(susan... | 0 |
Everyone who is not strong is not tall or not funny and vice versa. If someone is both patient and tall then alice is tall and vice versa. Everyone who is not creative or calm is not humble or not wise and vice versa. If someone is both creative and not quiet then someone is either creative or wise and vice versa. Ever... | Alice is curious. | contradiction | (![X]:(~strong(X)<=>(~tall(X)|~funny(X))))&
((?[X]:((patient(X)&tall(X))))<=>(tall(alice)))&
(![X]:((~creative(X)|calm(X))<=>(~humble(X)|~wise(X))))&
((?[X]:((creative(X)&~quiet(X))))<=>(?[X]:((creative(X)<~>wise(X)))))&
(![X]:((~calm(X)<~>~curious(X))=>(~funny(X)&calm(X))))&
((?[X]:(~funny(X)))<=>(?[X]:(kind(X))))&
(!... | curious(alice) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2660971059580166906547005
% SZS output start Proof for 2660971059580166906547005
1. ! [X0] : (~strong(X0) <=> (~funny(X0) | ~tall(X0))) [input p0]
5. ! [X0] : ((~calm(X0) <~> ~curious(X0)) => (calm(X0) & ~funny(X0))) [input p4]
7. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~strong(X0)) [inp... | 0 |
Everyone who is brave or happy is both not quiet and not humble and vice versa. Everyone who is not rich is either tall or rich and vice versa. Everyone who is either humble or not rich is not old and vice versa. Everyone who is either rich or not wise is happy. Everyone who is happy is either rich or not quiet. Everyo... | Lucy is tall. | entailment | (![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[X]:(~rich(X)))<=>((patient(paul)|brave(paul))))&
(![X]:((~quie... | tall(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 758205843397111785880710
% SZS output start Proof for 758205843397111785880710
2. ! [X0] : (~rich(X0) <=> (tall(X0) <~> rich(X0))) [input p1]
23. ~tall(lucy) [input hypothesis]
34. ! [X0] : ((~rich(X0) | ((tall(X0) | ~rich(X0)) & (rich(X0) | ~tall(X0)))) & (((~rich(X0) | ~tall(X0)) & (ric... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curio... | Fred is happy. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous... | happy(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8474340721247055917810706
% SZS output start Proof for 8474340721247055917810706
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tal... | 0 |
Everyone who is both brave and wise is either not generous or not happy. If alice is happy then fred is either brave or not calm. If alice is either not brave or patient then lucy is tall. If john is creative or calm then someone is not quiet or not patient. If someone is not generous then paul is not quiet. If alice i... | Fred is not kind. | contradiction | (![X]:((brave(X)&wise(X))=>(~generous(X)<~>~happy(X))))&
((happy(alice))=>((brave(fred)<~>~calm(fred))))&
(((~brave(alice)<~>patient(alice)))=>(tall(lucy)))&
(((creative(john)|calm(john)))=>(?[X]:((~quiet(X)|~patient(X)))))&
((?[X]:(~generous(X)))=>(~quiet(paul)))&
(((old(alice)|patient(alice)))<=>((~old(paul)&~brave(p... | ~kind(fred) | [
"p12",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4083527672115216340222616
% SZS output start Proof for 4083527672115216340222616
13. ! [X0] : ((patient(X0) & ~generous(X0)) <=> (kind(X0) <~> ~calm(X0))) [input p12]
15. ! [X0] : (calm(X0) => rich(X0)) [input p14]
17. ~brave(fred) & ~rich(fred) [input p16]
18. happy(fred) & ~patient(fred... | 0 |
If alice is both not old and patient then someone is either not generous or happy.
Everyone who is not happy or not humble is happy and vice versa.
Everyone who is creative or not quiet is both not brave and brave and vice versa.
If someone is both patient and humble then someone is both quiet and not calm.
If someone ... | Alice is strong. | entailment | (((~old(alice)&patient(alice)))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((~happy(X)|~humble(X))<=>happy(X)))&
(![X]:((creative(X)|~quiet(X))<=>(~brave(X)&brave(X))))&
((?[X]:((patient(X)&humble(X))))=>(?[X]:((quiet(X)&~calm(X)))))&
((?[X]:((old(X)&patient(X))))=>((creative(susan)&old(susan))))&
(![X]:(~old(X)<=>(cr... | strong(alice) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2064200160396375133709683
% SZS output start Proof for 2064200160396375133709683
2. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> happy(X0)) [input p1]
3. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (brave(X0) & ~brave(X0))) [input p2]
11. ! [X0] : ((strong(X0) & quiet(X0)) <=> (~happy(X0) <~> q... | 0 |
Everyone who is both kind and curious is funny or not old and vice versa. Everyone who is both not rich and humble is both old and wise and vice versa. Everyone who is either not generous or not calm is either patient or not quiet. Everyone who is not curious is not creative or creative. Everyone who is either curious ... | Paul is creative. | entailment | (![X]:((kind(X)&curious(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&humble(X))<=>(old(X)&wise(X))))&
(![X]:((~generous(X)<~>~calm(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(~curious(X)=>(~creative(X)|creative(X))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)|~strong(X))))&
(![X]:((strong(X)&wise(X))=>(brave(X)&calm(X))))&
... | creative(paul) | [
"p0",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3130684886948994480637736
% SZS output start Proof for 3130684886948994480637736
1. ! [X0] : ((curious(X0) & kind(X0)) <=> (~old(X0) | funny(X0))) [input p0]
9. ! [X0] : ((tall(X0) | old(X0)) => ~curious(X0)) [input p8]
10. ? [X0] : (~patient(X0) & happy(X0)) <=> ~creative(paul) [input p9... | 0 |
Everyone who is not humble is calm.
If someone is brave then susan is calm or humble and vice versa.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall or curio... | Susan is tall. | entailment | (![X]:(~humble(X)=>calm(X)))&
((?[X]:(brave(X)))<=>((calm(susan)|humble(susan))))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X))))&
(... | tall(susan) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5800714872317146688995479
% SZS output start Proof for 5800714872317146688995479
6. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p5]
11. ! [X0] : ((~strong(X0) | ~old(X0)) => tall(X0)) [input p10]
25. ~tall(susan) [input hypothesis]
30. ! [X0] : (tall(X0) | (stro... | 0 |
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