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 both humble and not quiet is both curious and happy.
If someone is rich or not generous then fred is both not old and creative.
Everyone who is funny or not kind is calm.
Everyone who is not happy is both calm and not creative and vice versa.
Everyone who is humble is either not quiet or humble.
Everyon... | Alice is not strong. | entailment | (![X]:((humble(X)&~quiet(X))=>(curious(X)&happy(X))))&
((?[X]:((rich(X)|~generous(X))))=>((~old(fred)&creative(fred))))&
(![X]:((funny(X)|~kind(X))=>calm(X)))&
(![X]:(~happy(X)<=>(calm(X)&~creative(X))))&
(![X]:(humble(X)=>(~quiet(X)<~>humble(X))))&
(![X]:((old(X)|kind(X))<=>(~tall(X)|funny(X))))&
(![X]:(funny(X)<=>~st... | ~strong(alice) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2399403097891723617902225
% SZS output start Proof for 2399403097891723617902225
7. ! [X0] : (funny(X0) <=> ~strong(X0)) [input p6]
24. ~generous(alice) & funny(alice) [input p23]
25. strong(alice) [input hypothesis]
46. ! [X0] : ((funny(X0) | strong(X0)) & (~strong(X0) | ~funny(X0))) [nn... | 0 |
Everyone who is both not creative and not wise is not generous. Everyone who is not patient is both not patient and not brave and vice versa. Everyone who is kind or curious is either not creative or not patient. Everyone who is either not rich or old is either not tall or brave. Everyone who is either rich or not calm... | Mary is curious. | entailment | (![X]:((~creative(X)&~wise(X))=>~generous(X)))&
(![X]:(~patient(X)<=>(~patient(X)&~brave(X))))&
(![X]:((kind(X)|curious(X))=>(~creative(X)<~>~patient(X))))&
(![X]:((~rich(X)<~>old(X))=>(~tall(X)<~>brave(X))))&
(![X]:((rich(X)<~>~calm(X))<=>(~calm(X)<~>~curious(X))))&
(![X]:((wise(X)&brave(X))<=>~patient(X)))&
(((~kind(... | curious(mary) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1915223302753406969865452
% SZS output start Proof for 1915223302753406969865452
2. ! [X0] : (~patient(X0) <=> (~brave(X0) & ~patient(X0))) [input p1]
6. ! [X0] : ((brave(X0) & wise(X0)) <=> ~patient(X0)) [input p5]
13. ! [X0] : ((~patient(X0) & ~quiet(X0)) <=> (~curious(X0) | rich(X0))) ... | 0 |
If alice is either humble or not wise then someone is not funny.
Everyone who is either not quiet or kind is both curious and brave and vice versa.
Everyone who is creative is kind or generous.
If someone is not rich or happy then mary is not brave or happy.
Everyone who is both not patient and not kind is not curious ... | John is happy. | contradiction | (((humble(alice)<~>~wise(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(curious(X)&brave(X))))&
(![X]:(creative(X)=>(kind(X)|generous(X))))&
((?[X]:((~rich(X)|happy(X))))=>((~brave(mary)|happy(mary))))&
(![X]:((~patient(X)&~kind(X))<=>~curious(X)))&
(((~quiet(john)|wise(john)))<=>(?[X]:((curious(X)&~cur... | happy(john) | [
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3932896777245251440108349
% SZS output start Proof for 3932896777245251440108349
7. ! [X0] : ((kind(X0) & old(X0)) <=> (~old(X0) <~> creative(X0))) [input p6]
8. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p7]
11. ! [X0] : (creative(X0) => (~happy(X0) & humble(X0... | 0 |
If someone is both quiet and not curious then paul is either happy or not calm.
Everyone who is both not happy and generous is either not generous or rich.
Everyone who is both not kind and not generous is either not happy or not quiet and vice versa.
Everyone who is both tall and kind is rich or curious and vice versa... | John is not funny. | contradiction | ((?[X]:((quiet(X)&~curious(X))))=>((happy(paul)<~>~calm(paul))))&
(![X]:((~happy(X)&generous(X))=>(~generous(X)<~>rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>(~happy(X)<~>~quiet(X))))&
(![X]:((tall(X)&kind(X))<=>(rich(X)|curious(X))))&
(![X]:(~happy(X)<=>(~quiet(X)<~>~wise(X))))&
(![X]:((~funny(X)<~>creative(X))<=>~wi... | ~funny(john) | [
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3146203992360883957238767
% SZS output start Proof for 3146203992360883957238767
6. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> ~wise(X0)) [input p5]
12. ! [X0] : ((strong(X0) | ~funny(X0)) => (~wise(X0) | ~creative(X0))) [input p11]
13. (~kind(susan) & kind(susan)) <=> ? [X0] : (~wise(X0... | 0 |
If lucy is not happy or not patient then someone is not rich or not wise.
If someone is both kind and not quiet then someone is not brave.
If paul is both generous and humble then someone is not curious or not happy and vice versa.
If mary is either not wise or not old then someone is either old or not funny.
If someon... | Fred is strong. | contradiction | (((~happy(lucy)|~patient(lucy)))=>(?[X]:((~rich(X)|~wise(X)))))&
((?[X]:((kind(X)&~quiet(X))))=>(?[X]:(~brave(X))))&
(((generous(paul)&humble(paul)))<=>(?[X]:((~curious(X)|~happy(X)))))&
(((~wise(mary)<~>~old(mary)))=>(?[X]:((old(X)<~>~funny(X)))))&
((?[X]:((calm(X)|~creative(X))))<=>((~old(paul)&calm(paul))))&
((?[X]:... | strong(fred) | [
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 160721361847297168691122
% SZS output start Proof for 160721361847297168691122
6. ? [X0] : (~humble(X0) | humble(X0)) <=> (~funny(fred) & generous(fred)) [input p5]
12. ! [X0] : ((~patient(X0) & ~wise(X0)) <=> (happy(X0) | ~funny(X0))) [input p11]
15. ! [X0] : ((~strong(X0) <~> ~wise(X0))... | 0 |
If susan is wise then someone is not patient or generous.
Everyone who is both not patient and curious is not curious.
Everyone who is both not patient and not kind is either not strong or rich.
Everyone who is both brave and curious is not strong.
Everyone who is both not tall and not old is creative and vice versa.
I... | Alice is not quiet. | entailment | ((wise(susan))=>(?[X]:((~patient(X)|generous(X)))))&
(![X]:((~patient(X)&curious(X))=>~curious(X)))&
(![X]:((~patient(X)&~kind(X))=>(~strong(X)<~>rich(X))))&
(![X]:((brave(X)&curious(X))=>~strong(X)))&
(![X]:((~tall(X)&~old(X))<=>creative(X)))&
((~generous(paul))=>(?[X]:((~tall(X)<~>kind(X)))))&
(![X]:((~patient(X)<~>p... | ~quiet(alice) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2522779371598952412956146
% SZS output start Proof for 2522779371598952412956146
7. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> (~kind(X0) & brave(X0))) [input p6]
10. ! [X0] : ((quiet(X0) | tall(X0)) <=> (~brave(X0) <~> ~quiet(X0))) [input p9]
25. quiet(alice) [input hypothesis]
49. ! [... | 0 |
If someone is either brave or humble then someone is both not brave and humble.
Everyone who is not tall is humble or kind and vice versa.
Everyone who is both not kind and brave is not wise.
Everyone who is either not curious or not creative is not strong.
Everyone who is either not happy or not kind is creative or no... | Fred is curious. | neutral | ((?[X]:((brave(X)<~>humble(X))))=>(?[X]:((~brave(X)&humble(X)))))&
(![X]:(~tall(X)<=>(humble(X)|kind(X))))&
(![X]:((~kind(X)&brave(X))=>~wise(X)))&
(![X]:((~curious(X)<~>~creative(X))=>~strong(X)))&
(![X]:((~happy(X)<~>~kind(X))<=>(creative(X)|~kind(X))))&
(![X]:(wise(X)=>(humble(X)<~>happy(X))))&
(![X]:((wise(X)<~>cal... | curious(fred) | [] | null | 0 |
Everyone who is not calm or not old is not happy or not tall and vice versa. Everyone who is curious is both creative and brave and vice versa. If paul is creative then susan is both not calm and not quiet and vice versa. If someone is quiet then someone is kind. If someone is not funny or old then susan is not kind. E... | Lucy is funny. | entailment | (![X]:((~calm(X)|~old(X))<=>(~happy(X)|~tall(X))))&
(![X]:(curious(X)<=>(creative(X)&brave(X))))&
((creative(paul))<=>((~calm(susan)&~quiet(susan))))&
((?[X]:(quiet(X)))=>(?[X]:(kind(X))))&
((?[X]:((~funny(X)|old(X))))=>(~kind(susan)))&
(![X]:((~calm(X)&~curious(X))=>(~patient(X)&calm(X))))&
((?[X]:((kind(X)<~>tall(X))... | funny(lucy) | [
"p1",
"p5",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3698588304972992681538002
% SZS output start Proof for 3698588304972992681538002
2. ! [X0] : (curious(X0) <=> (brave(X0) & creative(X0))) [input p1]
6. ! [X0] : ((~curious(X0) & ~calm(X0)) => (calm(X0) & ~patient(X0))) [input p5]
9. ! [X0] : ((kind(X0) | quiet(X0)) => (~rich(X0) & ~creati... | 0 |
If lucy is kind then someone is patient or not calm.
If susan is both funny and not creative then someone is not quiet and vice versa.
If someone is either humble or not strong then someone is patient or not generous.
If mary is brave then mary is strong or not happy.
If john is either rich or curious then someone is e... | Mary is creative. | neutral | ((kind(lucy))=>(?[X]:((patient(X)|~calm(X)))))&
(((funny(susan)&~creative(susan)))<=>(?[X]:(~quiet(X))))&
((?[X]:((humble(X)<~>~strong(X))))=>(?[X]:((patient(X)|~generous(X)))))&
((brave(mary))=>((strong(mary)|~happy(mary))))&
(((rich(john)<~>curious(john)))=>(?[X]:((~generous(X)<~>~patient(X)))))&
(![X]:((~brave(X)<~>... | creative(mary) | [] | null | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is quiet. | entailment | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | quiet(mary) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3275179665208088358830554
% SZS output start Proof for 3275179665208088358830554
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
3. ! [X0] : (~calm(X0) => (funny(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (~calm(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((... | 0 |
Everyone who is either generous or not rich is both quiet and not tall.
If someone is humble or not funny then alice is kind or curious and vice versa.
If mary is kind or rich then paul is both calm and not wise and vice versa.
If someone is generous then someone is both not brave and not quiet and vice versa.
If lucy ... | Paul is creative. | entailment | (![X]:((generous(X)<~>~rich(X))=>(quiet(X)&~tall(X))))&
((?[X]:((humble(X)|~funny(X))))<=>((kind(alice)|curious(alice))))&
(((kind(mary)|rich(mary)))<=>((calm(paul)&~wise(paul))))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~quiet(X)))))&
(((strong(lucy)<~>funny(lucy)))=>(~tall(lucy)))&
(![X]:((tall(X)|wise(X))<=>(~tall... | creative(paul) | [
"p5",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2415265216296241987852910
% SZS output start Proof for 2415265216296241987852910
6. ! [X0] : ((wise(X0) | tall(X0)) <=> (~calm(X0) & ~tall(X0))) [input p5]
11. ! [X0] : (~creative(X0) => (~calm(X0) <~> ~tall(X0))) [input p10]
16. ! [X0] : ((brave(X0) & ~calm(X0)) <=> kind(X0)) [input p15]... | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is not wise or tall is both not calm and wise and vice versa.
If mary is funny then john is old or patient.
If lucy is both quiet and not rich then mary is not funny or humble.
If someone is both funny and patient then paul is old.
Everyone... | Alice is brave. | neutral | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~wise(X)|tall(X))<=>(~calm(X)&wise(X))))&
((funny(mary))=>((old(john)|patient(john))))&
(((quiet(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patien... | brave(alice) | [] | null | 0 |
Everyone who is not kind or calm is both kind and not rich. Everyone who is wise or not curious is either not creative or strong. Everyone who is not strong is strong or funny and vice versa. Everyone who is both wise and not tall is both strong and not wise. Everyone who is patient is happy or funny and vice versa. If... | Mary is not calm. | entailment | (![X]:((~kind(X)|calm(X))=>(kind(X)&~rich(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)<~>strong(X))))&
(![X]:(~strong(X)<=>(strong(X)|funny(X))))&
(![X]:((wise(X)&~tall(X))=>(strong(X)&~wise(X))))&
(![X]:(patient(X)<=>(happy(X)|funny(X))))&
((?[X]:((~happy(X)|~humble(X))))<=>(?[X]:((brave(X)&funny(X)))))&
(![X]:(... | ~calm(mary) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4443033461778594679866567
% SZS output start Proof for 4443033461778594679866567
3. ! [X0] : (~strong(X0) <=> (funny(X0) | strong(X0))) [input p2]
10. ! [X0] : ((~brave(X0) | calm(X0)) <=> (~calm(X0) <~> ~funny(X0))) [input p9]
21. calm(mary) [input hypothesis]
34. ! [X0] : ((~strong(X0) ... | 0 |
If susan is not old or not wise then john is not humble and vice versa.
Everyone who is curious or generous is both happy and tall.
Everyone who is tall or strong is brave or not tall.
If someone is rich then mary is either strong or generous and vice versa.
If paul is both not kind and humble then someone is either no... | Fred is creative. | neutral | (((~old(susan)|~wise(susan)))<=>(~humble(john)))&
(![X]:((curious(X)|generous(X))=>(happy(X)&tall(X))))&
(![X]:((tall(X)|strong(X))=>(brave(X)|~tall(X))))&
((?[X]:(rich(X)))<=>((strong(mary)<~>generous(mary))))&
(((~kind(paul)&humble(paul)))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~generous(X)&~humble(X))))<=>... | creative(fred) | [] | null | 0 |
If someone is brave or not generous then john is not calm and vice versa. Everyone who is both not tall and not brave is either rich or calm and vice versa. Everyone who is curious or brave is generous and vice versa. Everyone who is old is strong or old and vice versa. Everyone who is not calm or not quiet is patient ... | Susan is generous. | contradiction | ((?[X]:((brave(X)|~generous(X))))<=>(~calm(john)))&
(![X]:((~tall(X)&~brave(X))<=>(rich(X)<~>calm(X))))&
(![X]:((curious(X)|brave(X))<=>generous(X)))&
(![X]:(old(X)<=>(strong(X)|old(X))))&
(![X]:((~calm(X)|~quiet(X))=>(patient(X)|brave(X))))&
((?[X]:((~brave(X)&creative(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![... | generous(susan) | [
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1191096327735857165680774
% SZS output start Proof for 1191096327735857165680774
7. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | humble(X0))) [input p6]
14. ! [X0] : (quiet(X0) => (humble(X0) | happy(X0))) [input p13]
16. ? [X0] : (~strong(X0) | generous(X0)) <=> (~humble(sus... | 0 |
If fred is curious or not happy then someone is wise or not happy.
If someone is curious then alice is both not patient and humble and vice versa.
If someone is either calm or patient then fred is either not old or generous and vice versa.
Everyone who is not generous or not tall is calm or not quiet and vice versa.
If... | John is curious. | neutral | (((curious(fred)|~happy(fred)))=>(?[X]:((wise(X)|~happy(X)))))&
((?[X]:(curious(X)))<=>((~patient(alice)&humble(alice))))&
((?[X]:((calm(X)<~>patient(X))))<=>((~old(fred)<~>generous(fred))))&
(![X]:((~generous(X)|~tall(X))<=>(calm(X)|~quiet(X))))&
((humble(alice))=>((generous(john)&old(john))))&
(![X]:((~happy(X)|tall(... | curious(john) | [] | null | 0 |
If susan is happy then someone is both not calm and humble.
If mary is both calm and tall then someone is either humble or not kind and vice versa.
If someone is both wise and rich then someone is not humble or not old and vice versa.
Everyone who is either curious or not humble is both not rich and funny and vice vers... | Susan is patient. | neutral | ((happy(susan))=>(?[X]:((~calm(X)&humble(X)))))&
(((calm(mary)&tall(mary)))<=>(?[X]:((humble(X)<~>~kind(X)))))&
((?[X]:((wise(X)&rich(X))))<=>(?[X]:((~humble(X)|~old(X)))))&
(![X]:((curious(X)<~>~humble(X))<=>(~rich(X)&funny(X))))&
((?[X]:((wise(X)<~>creative(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:((wise(X)<~>~... | patient(susan) | [] | null | 0 |
Everyone who is curious is both not old and not curious.
If someone is both not funny and not happy then susan is not happy or kind and vice versa.
Everyone who is not brave is either not strong or not humble and vice versa.
If susan is both not curious and calm then someone is both not patient and not rich and vice ve... | Susan is not calm. | contradiction | (![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~qu... | ~calm(susan) | [
"p0",
"p3",
"p4",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2085220562225328819341895
% SZS output start Proof for 2085220562225328819341895
1. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p0]
4. (calm(susan) & ~curious(susan)) <=> ? [X0] : (~rich(X0) & ~patient(X0)) [input p3]
5. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~... | 0 |
Everyone who is both rich and curious is both not calm and happy and vice versa. Everyone who is both not old and not rich is either strong or not generous. If someone is not kind or not creative then someone is either not creative or not funny and vice versa. Everyone who is either not patient or not generous is funny... | Paul is not rich. | contradiction | (![X]:((rich(X)&curious(X))<=>(~calm(X)&happy(X))))&
(![X]:((~old(X)&~rich(X))=>(strong(X)<~>~generous(X))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((~creative(X)<~>~funny(X)))))&
(![X]:((~patient(X)<~>~generous(X))=>(funny(X)|~tall(X))))&
(![X]:(~humble(X)<=>(brave(X)|~old(X))))&
(![X]:((~humble(X)&kind(X))<=>~hap... | ~rich(paul) | [
"p0",
"p5",
"p9",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6299341461742004265616479
% SZS output start Proof for 6299341461742004265616479
1. ! [X0] : ((curious(X0) & rich(X0)) <=> (happy(X0) & ~calm(X0))) [input p0]
6. ! [X0] : ((kind(X0) & ~humble(X0)) <=> ~happy(X0)) [input p5]
10. ! [X0] : (~calm(X0) => (~quiet(X0) & ~kind(X0))) [input p9]
1... | 0 |
Everyone who is both brave and not creative is not generous and vice versa.
If mary is both not generous and not rich then alice is not curious and vice versa.
If mary is not quiet then someone is not humble or funny.
If lucy is either calm or wise then someone is both kind and funny and vice versa.
Everyone who is eit... | Fred is humble. | neutral | (![X]:((brave(X)&~creative(X))<=>~generous(X)))&
(((~generous(mary)&~rich(mary)))<=>(~curious(alice)))&
((~quiet(mary))=>(?[X]:((~humble(X)|funny(X)))))&
(((calm(lucy)<~>wise(lucy)))<=>(?[X]:((kind(X)&funny(X)))))&
(![X]:((humble(X)<~>wise(X))=>(generous(X)&~quiet(X))))&
(![X]:(~rich(X)=>(strong(X)<~>curious(X))))&
(![... | humble(fred) | [] | null | 0 |
Everyone who is either not old or not creative is not quiet or funny and vice versa. If mary is both not generous and curious then paul is kind and vice versa. If someone is funny or not patient then alice is creative. If someone is both not calm and not happy then mary is either rich or creative and vice versa. If joh... | Alice is not creative. | contradiction | (![X]:((~old(X)<~>~creative(X))<=>(~quiet(X)|funny(X))))&
(((~generous(mary)&curious(mary)))<=>(kind(paul)))&
((?[X]:((funny(X)|~patient(X))))=>(creative(alice)))&
((?[X]:((~calm(X)&~happy(X))))<=>((rich(mary)<~>creative(mary))))&
(((patient(john)|~happy(john)))<=>(?[X]:(quiet(X))))&
(![X]:((curious(X)&~tall(X))<=>(qui... | ~creative(alice) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 911327576771483363483222
% SZS output start Proof for 911327576771483363483222
3. ? [X0] : (~patient(X0) | funny(X0)) => creative(alice) [input p2]
19. funny(fred) [input p18]
25. ~creative(alice) [input hypothesis]
27. creative(alice) | ! [X0] : (patient(X0) & ~funny(X0)) [ennf transform... | 0 |
Everyone who is not curious or not strong is old. If someone is either generous or happy then someone is not kind or not rich. If susan is both brave and funny then paul is both calm and not strong. Everyone who is generous or brave is both brave and not wise. Everyone who is either creative or humble is both not wise ... | Susan is not funny. | neutral | (![X]:((~curious(X)|~strong(X))=>old(X)))&
((?[X]:((generous(X)<~>happy(X))))=>(?[X]:((~kind(X)|~rich(X)))))&
(((brave(susan)&funny(susan)))=>((calm(paul)&~strong(paul))))&
(![X]:((generous(X)|brave(X))=>(brave(X)&~wise(X))))&
(![X]:((creative(X)<~>humble(X))=>(~wise(X)&~curious(X))))&
((?[X]:((~rich(X)|quiet(X))))=>(?... | ~funny(susan) | [] | null | 0 |
Everyone who is both kind and humble is generous and vice versa.
Everyone who is kind is both not brave and not rich.
If lucy is either not wise or brave then john is brave and vice versa.
Everyone who is generous or quiet is old or not generous and vice versa.
Everyone who is not brave or not happy is both not quiet a... | Mary is not calm. | neutral | (![X]:((kind(X)&humble(X))<=>generous(X)))&
(![X]:(kind(X)=>(~brave(X)&~rich(X))))&
(((~wise(lucy)<~>brave(lucy)))<=>(brave(john)))&
(![X]:((generous(X)|quiet(X))<=>(old(X)|~generous(X))))&
(![X]:((~brave(X)|~happy(X))=>(~quiet(X)&generous(X))))&
(![X]:((~wise(X)<~>~humble(X))=>happy(X)))&
(![X]:(calm(X)=>(quiet(X)|~ca... | ~calm(mary) | [] | null | 0 |
If someone is either not funny or not brave then someone is both rich and not strong and vice versa.
Everyone who is not happy is both not wise and humble and vice versa.
If paul is not patient or brave then someone is quiet and vice versa.
Everyone who is calm or not humble is not happy or not curious and vice versa.
... | Alice is not kind. | entailment | ((?[X]:((~funny(X)<~>~brave(X))))<=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:(~happy(X)<=>(~wise(X)&humble(X))))&
(((~patient(paul)|brave(paul)))<=>(?[X]:(quiet(X))))&
(![X]:((calm(X)|~humble(X))<=>(~happy(X)|~curious(X))))&
(![X]:((~old(X)|~quiet(X))<=>~brave(X)))&
(![X]:(old(X)<=>patient(X)))&
(![X]:(~humble(X)<=>brave(... | ~kind(alice) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7859137509806219708716661
% SZS output start Proof for 7859137509806219708716661
4. ! [X0] : ((~humble(X0) | calm(X0)) <=> (~curious(X0) | ~happy(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> ~brave(X0)) [input p4]
6. ! [X0] : (old(X0) <=> patient(X0)) [input p5]
7. ! [X0] : (... | 0 |
Everyone who is both tall and creative is patient and vice versa.
Everyone who is not patient is not wise or patient and vice versa.
If someone is either not wise or brave then mary is not curious or not strong.
Everyone who is either not kind or generous is either not strong or wise and vice versa.
Everyone who is eit... | Lucy is not strong. | contradiction | (![X]:((tall(X)&creative(X))<=>patient(X)))&
(![X]:(~patient(X)<=>(~wise(X)|patient(X))))&
((?[X]:((~wise(X)<~>brave(X))))=>((~curious(mary)|~strong(mary))))&
(![X]:((~kind(X)<~>generous(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((~kind(X)<~>~strong(X))<=>(~patient(X)&~quiet(X))))&
((?[X]:((kind(X)&~wise(X))))<=>(~quiet(pa... | ~strong(lucy) | [
"p1",
"p3",
"p6",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3813705980332797815906301
% SZS output start Proof for 3813705980332797815906301
2. ! [X0] : (~patient(X0) <=> (patient(X0) | ~wise(X0))) [input p1]
4. ! [X0] : ((~kind(X0) <~> generous(X0)) <=> (~strong(X0) <~> wise(X0))) [input p3]
7. ! [X0] : (funny(X0) <=> (creative(X0) | ~patient(X0)... | 0 |
If someone is old then mary is either not kind or not curious.
Everyone who is tall is calm and vice versa.
Everyone who is funny is either rich or quiet and vice versa.
Everyone who is not calm is patient and vice versa.
If john is curious or not wise then someone is either patient or rich and vice versa.
Everyone who... | Alice is humble. | contradiction | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:(funny(X)<=>(rich(X)<~>quiet(X))))&
(![X]:(~calm(X)<=>patient(X)))&
(((curious(john)|~wise(john)))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~old(X)&~calm(X))=>~quiet(X)))&
(((happy(susan)&humble(susan)))=>(?[X]:((calm(X)|funny(X))... | humble(alice) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 117014934192220188148904
% SZS output start Proof for 117014934192220188148904
2. ! [X0] : (tall(X0) <=> calm(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (rich(X0) <~> quiet(X0))) [input p2]
4. ! [X0] : (~calm(X0) <=> patient(X0)) [input p3]
6. ! [X0] : ((~calm(X0) & ~old(X0)) => ~quiet(X0... | 0 |
Everyone who is wise or not rich is both generous and not generous.
Everyone who is kind or tall is not quiet and vice versa.
If someone is either not funny or not happy then someone is not patient or quiet and vice versa.
If susan is not curious then someone is either generous or brave and vice versa.
If someone is bo... | John is tall. | entailment | (![X]:((wise(X)|~rich(X))=>(generous(X)&~generous(X))))&
(![X]:((kind(X)|tall(X))<=>~quiet(X)))&
((?[X]:((~funny(X)<~>~happy(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
((~curious(susan))<=>(?[X]:((generous(X)<~>brave(X)))))&
((?[X]:((generous(X)&creative(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((funny(X)&~strong(X... | tall(john) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 73017852838617527699711
% SZS output start Proof for 73017852838617527699711
1. ! [X0] : ((~rich(X0) | wise(X0)) => (~generous(X0) & generous(X0))) [input p0]
4. ~curious(susan) <=> ? [X0] : (generous(X0) <~> brave(X0)) [input p3]
5. ? [X0] : (creative(X0) & generous(X0)) <=> ? [X0] : (qu... | 0 |
Everyone who is either old or not rich is both happy and brave and vice versa. Everyone who is not funny or not calm is either patient or kind and vice versa. Everyone who is not brave is either brave or not happy. Everyone who is both not rich and not happy is wise. If someone is either not happy or brave then someone... | Paul is not funny. | contradiction | (![X]:((old(X)<~>~rich(X))<=>(happy(X)&brave(X))))&
(![X]:((~funny(X)|~calm(X))<=>(patient(X)<~>kind(X))))&
(![X]:(~brave(X)=>(brave(X)<~>~happy(X))))&
(![X]:((~rich(X)&~happy(X))=>wise(X)))&
((?[X]:((~happy(X)<~>brave(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(((calm(fred)|~kind(fred)))<=>(?[X]:(patient(X))))&
(![X]:((ca... | ~funny(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9208795391818789094231907
% SZS output start Proof for 9208795391818789094231907
1. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> (brave(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (patient(X0) <~> kind(X0))) [input p1]
3. ! [X0] : (~brave(X0) => (brave(X0) <~> ~happy(X... | 0 |
Everyone who is both funny and not funny is either not wise or not strong.
If someone is either tall or not humble then someone is both quiet and not quiet and vice versa.
If susan is not quiet then someone is either creative or not strong and vice versa.
Everyone who is old or not funny is not old.
Everyone who is eit... | Alice is patient. | neutral | (![X]:((funny(X)&~funny(X))=>(~wise(X)<~>~strong(X))))&
((?[X]:((tall(X)<~>~humble(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((~quiet(susan))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((old(X)|~funny(X))=>~old(X)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(~funny(X)|~kind(X))))&
(![X]:((funny(X)&~old(X))<=>(generous(X)&quiet... | patient(alice) | [] | null | 0 |
Everyone who is not tall or funny is both calm and wise and vice versa.
Everyone who is not patient is not strong.
If someone is not kind then someone is calm or old and vice versa.
Everyone who is not rich is generous or patient and vice versa.
Everyone who is not patient is not happy.
Everyone who is not generous is ... | Susan is not happy. | neutral | (![X]:((~tall(X)|funny(X))<=>(calm(X)&wise(X))))&
(![X]:(~patient(X)=>~strong(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((calm(X)|old(X)))))&
(![X]:(~rich(X)<=>(generous(X)|patient(X))))&
(![X]:(~patient(X)=>~happy(X)))&
(![X]:(~generous(X)=>(rich(X)&humble(X))))&
(![X]:((~kind(X)&old(X))<=>(rich(X)|brave(X))))&
(![X]:(~old(X)<... | ~happy(susan) | [] | null | 0 |
If someone is either not quiet or not rich then susan is patient or not rich. Everyone who is either quiet or strong is either not strong or not quiet. Everyone who is funny is calm or not funny. If lucy is wise then alice is either not happy or not quiet and vice versa. Everyone who is funny is both not tall and not r... | Fred is not patient. | neutral | ((?[X]:((~quiet(X)<~>~rich(X))))=>((patient(susan)|~rich(susan))))&
(![X]:((quiet(X)<~>strong(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:(funny(X)=>(calm(X)|~funny(X))))&
((wise(lucy))<=>((~happy(alice)<~>~quiet(alice))))&
(![X]:(funny(X)=>(~tall(X)&~rich(X))))&
(![X]:((~calm(X)&~creative(X))=>(~strong(X)|creative(X))))&
(... | ~patient(fred) | [] | null | 0 |
Everyone who is both old and strong is not creative or creative.
If someone is both not brave and curious then someone is either not happy or creative and vice versa.
Everyone who is both funny and kind is not strong.
Everyone who is tall or calm is both not calm and creative and vice versa.
If john is not kind or not ... | Lucy is not curious. | entailment | (![X]:((old(X)&strong(X))=>(~creative(X)|creative(X))))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:((~happy(X)<~>creative(X)))))&
(![X]:((funny(X)&kind(X))=>~strong(X)))&
(![X]:((tall(X)|calm(X))<=>(~calm(X)&creative(X))))&
(((~kind(john)|~patient(john)))<=>((humble(lucy)&creative(lucy))))&
(![X]:((happy(X)|~funny(X))<=... | ~curious(lucy) | [
"p1",
"p2",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4241190725520431156258453
% SZS output start Proof for 4241190725520431156258453
2. ? [X0] : (curious(X0) & ~brave(X0)) <=> ? [X0] : (~happy(X0) <~> creative(X0)) [input p1]
3. ! [X0] : ((kind(X0) & funny(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((~funny(X0) | happy(X0)) <=> (~happy(X0... | 0 |
Everyone who is kind or tall is strong or calm. If someone is either not generous or wise then paul is either not tall or rich. Everyone who is either brave or not rich is either not happy or not strong. Everyone who is either creative or not old is both brave and not wise. If john is either not creative or not wise th... | Fred is tall. | entailment | (![X]:((kind(X)|tall(X))=>(strong(X)|calm(X))))&
((?[X]:((~generous(X)<~>wise(X))))=>((~tall(paul)<~>rich(paul))))&
(![X]:((brave(X)<~>~rich(X))=>(~happy(X)<~>~strong(X))))&
(![X]:((creative(X)<~>~old(X))=>(brave(X)&~wise(X))))&
(((~creative(john)<~>~wise(john)))<=>(?[X]:((old(X)|creative(X)))))&
((?[X]:(~tall(X)))=>((... | tall(fred) | [
"p3",
"p11",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2714201955152091782711381
% SZS output start Proof for 2714201955152091782711381
4. ! [X0] : ((creative(X0) <~> ~old(X0)) => (~wise(X0) & brave(X0))) [input p3]
12. ! [X0] : (funny(X0) <=> (tall(X0) <~> creative(X0))) [input p11]
15. ! [X0] : ((old(X0) | ~happy(X0)) => (tall(X0) & ~quiet(... | 0 |
Everyone who is not brave is either not strong or not humble and vice versa.
If susan is both not curious and calm then someone is both not patient and not rich and vice versa.
If someone is both creative and curious then someone is patient or not funny and vice versa.
If someone is humble or not quiet then someone is ... | Lucy is humble. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(susan)))=>((~calm(fred)&~happy(fred))))&
... | humble(lucy) | [
"p2",
"p5",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 54184569883399178417424
% SZS output start Proof for 54184569883399178417424
3. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p2]
6. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p5]
8. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~gene... | 0 |
If susan is both calm and not kind then lucy is brave or kind. Everyone who is humble or generous is either happy or not quiet. If someone is either not humble or rich then someone is brave. Everyone who is not humble or not brave is not tall or not patient and vice versa. If susan is both quiet and not kind then alice... | Mary is curious. | contradiction | (((calm(susan)&~kind(susan)))=>((brave(lucy)|kind(lucy))))&
(![X]:((humble(X)|generous(X))=>(happy(X)<~>~quiet(X))))&
((?[X]:((~humble(X)<~>rich(X))))=>(?[X]:(brave(X))))&
(![X]:((~humble(X)|~brave(X))<=>(~tall(X)|~patient(X))))&
(((quiet(susan)&~kind(susan)))=>((~rich(alice)|~creative(alice))))&
(![X]:((~happy(X)&happ... | curious(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3257306161908067044973659
% SZS output start Proof for 3257306161908067044973659
6. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (curious(X0) | funny(X0))) [input p5]
21. curious(mary) [input hypothesis]
43. ! [X0] : (((happy(X0) & ~happy(X0)) | (~curious(X0) & ~funny(X0))) & ((curious(X0) | fu... | 0 |
If john is either tall or not generous then someone is either not humble or not old and vice versa.
If fred is both brave and rich then alice is quiet.
Everyone who is both happy and calm is either happy or quiet.
If someone is not wise then john is not funny or quiet.
If paul is both not patient and wise then mary is ... | Fred is not old. | neutral | (((tall(john)<~>~generous(john)))<=>(?[X]:((~humble(X)<~>~old(X)))))&
(((brave(fred)&rich(fred)))=>(quiet(alice)))&
(![X]:((happy(X)&calm(X))=>(happy(X)<~>quiet(X))))&
((?[X]:(~wise(X)))=>((~funny(john)|quiet(john))))&
(((~patient(paul)&wise(paul)))=>((strong(mary)<~>brave(mary))))&
(![X]:(~wise(X)<=>~curious(X)))&
(![... | ~old(fred) | [] | null | 0 |
Everyone who is generous is not quiet and vice versa. Everyone who is not wise or generous is not old and vice versa. If susan is either not old or happy then someone is both not strong and not brave and vice versa. If someone is old then fred is not calm. Everyone who is not kind or rich is calm or not brave and vice ... | Fred is not calm. | entailment | (![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~wise(X)|generous(X))<=>~old(X)))&
(((~old(susan)<~>happy(susan)))<=>(?[X]:((~strong(X)&~brave(X)))))&
((?[X]:(old(X)))=>(~calm(fred)))&
(![X]:((~kind(X)|rich(X))<=>(calm(X)|~brave(X))))&
(((~strong(alice)&funny(alice)))<=>((brave(susan)<~>tall(susan))))&
((?[X]:((humble(X)&~wi... | ~calm(fred) | [
"p2",
"p3",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3040037210943061762786693
% SZS output start Proof for 3040037210943061762786693
3. (~old(susan) <~> happy(susan)) <=> ? [X0] : (~brave(X0) & ~strong(X0)) [input p2]
4. ? [X0] : old(X0) => ~calm(fred) [input p3]
9. ! [X0] : ((~rich(X0) | happy(X0)) => ~wise(X0)) [input p8]
12. ! [X0] : ((... | 0 |
Everyone who is not happy or creative is either brave or not kind and vice versa. Everyone who is old or not creative is either curious or quiet. Everyone who is either not humble or not tall is both not curious and not brave and vice versa. Everyone who is either not curious or not strong is not rich or old. Everyone ... | Paul is not creative. | neutral | (![X]:((~happy(X)|creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((old(X)|~creative(X))=>(curious(X)<~>quiet(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(~curious(X)&~brave(X))))&
(![X]:((~curious(X)<~>~strong(X))=>(~rich(X)|old(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~humble(X)<~>brave(X))))&
(((generous(mary)<~>calm(mary)))=... | ~creative(paul) | [] | null | 0 |
Everyone who is both creative and not patient is not generous or not rich and vice versa.
Everyone who is either not brave or not old is either not funny or not kind and vice versa.
If someone is either not generous or not happy then someone is either not calm or not strong and vice versa.
Everyone who is humble or not... | Paul is not old. | contradiction | (![X]:((creative(X)&~patient(X))<=>(~generous(X)|~rich(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((humble(X)|~quiet(X))<=>(patient(X)&tall(X))))&
(![X]:((creative(X)|kind(X))=>(wise(X)&strong(X))))&
((?[X]:((creative(X... | ~old(paul) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 617778292831176313703167
% SZS output start Proof for 617778292831176313703167
1. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~rich(X0) | ~generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | humble(X0)) <=> (tall(X0) & patient(X0))) [input p3]
5. ! [X0] : ((kind(X0) | creative(X0)) => (... | 0 |
If someone is not curious or patient then john is funny. If john is both humble and not brave then john is not brave or not curious and vice versa. If susan is not creative or not tall then mary is either patient or funny. If someone is not brave or tall then someone is either not funny or not tall and vice versa. If f... | Mary is quiet. | neutral | ((?[X]:((~curious(X)|patient(X))))=>(funny(john)))&
(((humble(john)&~brave(john)))<=>((~brave(john)|~curious(john))))&
(((~creative(susan)|~tall(susan)))=>((patient(mary)<~>funny(mary))))&
((?[X]:((~brave(X)|tall(X))))<=>(?[X]:((~funny(X)<~>~tall(X)))))&
(((strong(fred)<~>curious(fred)))=>(?[X]:(brave(X))))&
(![X]:(kin... | quiet(mary) | [] | null | 0 |
Everyone who is both creative and happy is both strong and calm. Everyone who is either not brave or creative is not kind or not wise. Everyone who is not curious is happy or not humble and vice versa. Everyone who is either calm or not curious is both not wise and patient. Everyone who is not funny or calm is either h... | Alice is brave. | entailment | (![X]:((creative(X)&happy(X))=>(strong(X)&calm(X))))&
(![X]:((~brave(X)<~>creative(X))=>(~kind(X)|~wise(X))))&
(![X]:(~curious(X)<=>(happy(X)|~humble(X))))&
(![X]:((calm(X)<~>~curious(X))=>(~wise(X)&patient(X))))&
(![X]:((~funny(X)|calm(X))<=>(happy(X)<~>strong(X))))&
(![X]:((creative(X)|~old(X))<=>(~brave(X)<~>~calm(X... | brave(alice) | [
"p2",
"p3",
"p5",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3617830429688250739603342
% SZS output start Proof for 3617830429688250739603342
3. ! [X0] : (~curious(X0) <=> (~humble(X0) | happy(X0))) [input p2]
4. ! [X0] : ((calm(X0) <~> ~curious(X0)) => (patient(X0) & ~wise(X0))) [input p3]
6. ! [X0] : ((~old(X0) | creative(X0)) <=> (~brave(X0) <~>... | 0 |
Everyone who is either curious or not quiet is not brave or not curious and vice versa. If someone is brave or not generous then john is either not creative or not humble and vice versa. Everyone who is not calm or quiet is both not strong and not calm and vice versa. Everyone who is not tall or wise is not curious or ... | John is humble. | contradiction | (![X]:((curious(X)<~>~quiet(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((brave(X)|~generous(X))))<=>((~creative(john)<~>~humble(john))))&
(![X]:((~calm(X)|quiet(X))<=>(~strong(X)&~calm(X))))&
(![X]:((~tall(X)|wise(X))<=>(~curious(X)|happy(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(~rich(X)&~funny(X))))&
(![X]:((calm(X)|~creat... | humble(john) | [
"p0",
"p1",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 625993102804099922678143
% SZS output start Proof for 625993102804099922678143
1. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (~curious(X0) | ~brave(X0))) [input p0]
2. ? [X0] : (~generous(X0) | brave(X0)) <=> (~creative(john) <~> ~humble(john)) [input p1]
6. ! [X0] : ((~creative(X0) | cal... | 0 |
Everyone who is brave or calm is wise and vice versa. Everyone who is both rich and funny is both wise and not brave and vice versa. Everyone who is either curious or strong is both humble and old. Everyone who is either not strong or not humble is either happy or old. Everyone who is either kind or not happy is not ta... | Paul is strong. | entailment | (![X]:((brave(X)|calm(X))<=>wise(X)))&
(![X]:((rich(X)&funny(X))<=>(wise(X)&~brave(X))))&
(![X]:((curious(X)<~>strong(X))=>(humble(X)&old(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(happy(X)<~>old(X))))&
(![X]:((kind(X)<~>~happy(X))=>~tall(X)))&
(![X]:(quiet(X)<=>(~calm(X)<~>brave(X))))&
(![X]:((~patient(X)&~wise(X))=>(h... | strong(paul) | [
"p0",
"p3",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 387494359062116503686215
% SZS output start Proof for 387494359062116503686215
1. ! [X0] : ((calm(X0) | brave(X0)) <=> wise(X0)) [input p0]
4. ! [X0] : ((~strong(X0) <~> ~humble(X0)) => (happy(X0) <~> old(X0))) [input p3]
8. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (~wise(X0) & rich(X0... | 0 |
If someone is either not happy or not old then fred is both not wise and not patient.
Everyone who is curious or happy is either calm or funny and vice versa.
Everyone who is not generous or not old is not funny.
Everyone who is either old or curious is not generous or wise and vice versa.
Everyone who is not generous ... | Paul is not rich. | neutral | ((?[X]:((~happy(X)<~>~old(X))))=>((~wise(fred)&~patient(fred))))&
(![X]:((curious(X)|happy(X))<=>(calm(X)<~>funny(X))))&
(![X]:((~generous(X)|~old(X))=>~funny(X)))&
(![X]:((old(X)<~>curious(X))<=>(~generous(X)|wise(X))))&
(![X]:((~generous(X)|quiet(X))<=>(~rich(X)&~generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~humble(X)... | ~rich(paul) | [] | null | 0 |
Everyone who is not strong is tall or happy and vice versa.
Everyone who is strong or funny is quiet and vice versa.
If someone is both not generous and tall then someone is either not rich or curious.
If mary is either not brave or not humble then someone is either generous or funny.
If someone is not calm then paul i... | Mary is brave. | contradiction | (![X]:(~strong(X)<=>(tall(X)|happy(X))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:((~generous(X)&tall(X))))=>(?[X]:((~rich(X)<~>curious(X)))))&
(((~brave(mary)<~>~humble(mary)))=>(?[X]:((generous(X)<~>funny(X)))))&
((?[X]:(~calm(X)))<=>((rich(paul)&~tall(paul))))&
((?[X]:(wise(X)))<=>((happy(susan)|~old(susan)... | brave(mary) | [
"p1",
"p7",
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3582045925723757036289678
% SZS output start Proof for 3582045925723757036289678
2. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p1]
8. ! [X0] : (quiet(X0) <=> (~brave(X0) & ~happy(X0))) [input p7]
9. ! [X0] : (brave(X0) => (humble(X0) & ~generous(X0))) [input p8]
11. ! [X0] :... | 0 |
Everyone who is not brave is either not tall or strong and vice versa. If john is kind then paul is both not brave and not patient. Everyone who is wise is not quiet or rich and vice versa. Everyone who is either not funny or patient is both not kind and not tall and vice versa. If someone is old or not calm then someo... | Paul is not happy. | contradiction | (![X]:(~brave(X)<=>(~tall(X)<~>strong(X))))&
((kind(john))=>((~brave(paul)&~patient(paul))))&
(![X]:(wise(X)<=>(~quiet(X)|rich(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(~kind(X)&~tall(X))))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:(~creative(X))))&
(![X]:(~brave(X)<=>happy(X)))&
(![X]:((~kind(X)|~generous(X))<=>(old(X)|~wis... | ~happy(paul) | [
"p0",
"p3",
"p5",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2828595381082861223448438
% SZS output start Proof for 2828595381082861223448438
1. ! [X0] : (~brave(X0) <=> (~tall(X0) <~> strong(X0))) [input p0]
4. ! [X0] : ((~funny(X0) <~> patient(X0)) <=> (~tall(X0) & ~kind(X0))) [input p3]
6. ! [X0] : (~brave(X0) <=> happy(X0)) [input p5]
9. ? [X0]... | 0 |
If someone is not humble then someone is not strong.
Everyone who is not brave is funny.
If someone is both not curious and strong then john is strong.
If someone is not curious then someone is either not tall or not calm.
Everyone who is curious or not kind is both not old and not calm and vice versa.
If someone is ca... | John is strong. | entailment | ((?[X]:(~humble(X)))=>(?[X]:(~strong(X))))&
(![X]:(~brave(X)=>funny(X)))&
((?[X]:((~curious(X)&strong(X))))=>(strong(john)))&
((?[X]:(~curious(X)))=>(?[X]:((~tall(X)<~>~calm(X)))))&
(![X]:((curious(X)|~kind(X))<=>(~old(X)&~calm(X))))&
((?[X]:(calm(X)))<=>((~old(lucy)|quiet(lucy))))&
(![X]:((~humble(X)&calm(X))<=>(old(X... | strong(john) | [
"p2",
"p4",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5255442962710475137878485
% SZS output start Proof for 5255442962710475137878485
3. ? [X0] : (strong(X0) & ~curious(X0)) => strong(john) [input p2]
5. ! [X0] : ((~kind(X0) | curious(X0)) <=> (~calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((calm(X0) & ~humble(X0)) <=> (~quiet(X0) & old(X0)... | 0 |
If someone is brave or curious then paul is either not curious or not generous.
Everyone who is not rich or not quiet is either not brave or not funny.
Everyone who is both not kind and not generous is both generous and curious and vice versa.
Everyone who is not curious is not old or not patient.
If someone is calm or... | Paul is quiet. | entailment | ((?[X]:((brave(X)|curious(X))))=>((~curious(paul)<~>~generous(paul))))&
(![X]:((~rich(X)|~quiet(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)&~generous(X))<=>(generous(X)&curious(X))))&
(![X]:(~curious(X)=>(~old(X)|~patient(X))))&
((?[X]:((calm(X)|~kind(X))))=>((~humble(mary)<~>wise(mary))))&
(((patient(mary)|~happy... | quiet(paul) | [
"p0",
"p2",
"p8",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 689762471459703326014482
% SZS output start Proof for 689762471459703326014482
1. ? [X0] : (curious(X0) | brave(X0)) => (~curious(paul) <~> ~generous(paul)) [input p0]
3. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (curious(X0) & generous(X0))) [input p2]
9. ! [X0] : (humble(X0) <=> (~gener... | 0 |
Everyone who is not generous is quiet.
Everyone who is either tall or not tall is not rich or not calm.
Everyone who is not creative is not funny or creative.
Everyone who is not kind is not humble and vice versa.
If someone is not generous or not kind then paul is not quiet or not old and vice versa.
Everyone who is b... | Lucy is quiet. | entailment | (![X]:(~generous(X)=>quiet(X)))&
(![X]:((tall(X)<~>~tall(X))=>(~rich(X)|~calm(X))))&
(![X]:(~creative(X)=>(~funny(X)|creative(X))))&
(![X]:(~kind(X)<=>~humble(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>((~quiet(paul)|~old(paul))))&
(![X]:((~rich(X)&~kind(X))<=>(patient(X)<~>~funny(X))))&
(![X]:((~tall(X)|generous(X))=>(... | quiet(lucy) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1306039895267383535633124
% SZS output start Proof for 1306039895267383535633124
1. ! [X0] : (~generous(X0) => quiet(X0)) [input p0]
13. ! [X0] : ((generous(X0) | ~calm(X0)) <=> quiet(X0)) [input p12]
25. ~quiet(lucy) [input hypothesis]
28. ! [X0] : (quiet(X0) | generous(X0)) [ennf transf... | 0 |
Everyone who is tall or humble is not tall.
Everyone who is both not strong and not humble is old or rich and vice versa.
Everyone who is not wise is strong and vice versa.
Everyone who is old or calm is not brave and vice versa.
If someone is both rich and kind then someone is both tall and not happy.
Everyone who is ... | Fred is not brave. | contradiction | (![X]:((tall(X)|humble(X))=>~tall(X)))&
(![X]:((~strong(X)&~humble(X))<=>(old(X)|rich(X))))&
(![X]:(~wise(X)<=>strong(X)))&
(![X]:((old(X)|calm(X))<=>~brave(X)))&
((?[X]:((rich(X)&kind(X))))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:(~tall(X)<=>(~strong(X)&~tall(X))))&
(![X]:((creative(X)<~>strong(X))<=>(happy(X)<~>~creati... | ~brave(fred) | [
"p0",
"p5",
"p6",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 365643579015134158837805
% SZS output start Proof for 365643579015134158837805
1. ! [X0] : ((humble(X0) | tall(X0)) => ~tall(X0)) [input p0]
6. ! [X0] : (~tall(X0) <=> (~tall(X0) & ~strong(X0))) [input p5]
7. ! [X0] : ((creative(X0) <~> strong(X0)) <=> (happy(X0) <~> ~creative(X0))) [inpu... | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa.
If fred is both not rich and not patient then susan is either not brave or not patient.
If someone is both old and funny then someone is both rich and kind and vice versa.
If someone is creative then someone is not tall or not b... | Lucy is not quiet. | neutral | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
(((~rich(fred)&~patient(fred)))=>((~brave(susan)<~>~patient(susan))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~old(X)<~>patient(X))<=>kind(X)))&
((?[X]:((~patient(X)<~>~quiet(X)... | ~quiet(lucy) | [] | null | 0 |
Everyone who is not humble is calm or funny. If mary is not strong then someone is creative and vice versa. If paul is happy then someone is not strong and vice versa. If lucy is either patient or not wise then lucy is not happy and vice versa. Everyone who is both patient and old is not old. Everyone who is both gener... | Paul is not funny. | contradiction | (![X]:(~humble(X)=>(calm(X)|funny(X))))&
((~strong(mary))<=>(?[X]:(creative(X))))&
((happy(paul))<=>(?[X]:(~strong(X))))&
(((patient(lucy)<~>~wise(lucy)))<=>(~happy(lucy)))&
(![X]:((patient(X)&old(X))=>~old(X)))&
(![X]:((generous(X)&~strong(X))=>tall(X)))&
((?[X]:((~happy(X)<~>~funny(X))))<=>(~generous(lucy)))&
(((gene... | ~funny(paul) | [
"p2",
"p6",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5495648598457395007392926
% SZS output start Proof for 5495648598457395007392926
3. happy(paul) <=> ? [X0] : ~strong(X0) [input p2]
7. ? [X0] : (~happy(X0) <~> ~funny(X0)) <=> ~generous(lucy) [input p6]
11. ? [X0] : (quiet(X0) | happy(X0)) => ~strong(fred) [input p10]
13. (generous(lucy) ... | 0 |
Everyone who is not brave or not humble is both generous and not humble and vice versa.
If alice is not funny or strong then someone is both not calm and not rich.
If someone is both calm and not creative then someone is old or not humble and vice versa.
Everyone who is either not patient or not creative is both not ca... | Fred is not humble. | contradiction | (![X]:((~brave(X)|~humble(X))<=>(generous(X)&~humble(X))))&
(((~funny(alice)|strong(alice)))=>(?[X]:((~calm(X)&~rich(X)))))&
((?[X]:((calm(X)&~creative(X))))<=>(?[X]:((old(X)|~humble(X)))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~calm(X)&~rich(X))))&
(![X]:((~kind(X)<~>~humble(X))=>(~old(X)<~>~tall(X))))&
(![X]:((calm... | ~humble(fred) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2564957337757708173583769
% SZS output start Proof for 2564957337757708173583769
3. ? [X0] : (~creative(X0) & calm(X0)) <=> ? [X0] : (~humble(X0) | old(X0)) [input p2]
10. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~calm(X0))) [input p9]
22. ~humble(fred) [input hypothesis]
23. ? [X0] : (~crea... | 0 |
If fred is not generous or happy then someone is either not patient or not humble and vice versa. If john is kind or not strong then someone is both old and tall and vice versa. If mary is not rich then lucy is funny and vice versa. If someone is either not generous or not brave then mary is either not funny or not pat... | Fred is old. | entailment | (((~generous(fred)|happy(fred)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((kind(john)|~strong(john)))<=>(?[X]:((old(X)&tall(X)))))&
((~rich(mary))<=>(funny(lucy)))&
((?[X]:((~generous(X)<~>~brave(X))))=>((~funny(mary)<~>~patient(mary))))&
(![X]:((~curious(X)&~brave(X))<=>patient(X)))&
(![X]:((calm(X)<~>brave(X))<=>hum... | old(fred) | [
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1612452850622514442864965
% SZS output start Proof for 1612452850622514442864965
5. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> patient(X0)) [input p4]
10. ! [X0] : (~happy(X0) => (~tall(X0) & old(X0))) [input p9]
11. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> (curious(X0) & patient(X0))) [inp... | 0 |
Everyone who is both not calm and quiet is not kind or strong and vice versa.
Everyone who is not wise or patient is happy.
If alice is old or not curious then someone is both not brave and not patient and vice versa.
If lucy is not humble then someone is both generous and wise.
If someone is creative then fred is both... | Lucy is generous. | entailment | (![X]:((~calm(X)&quiet(X))<=>(~kind(X)|strong(X))))&
(![X]:((~wise(X)|patient(X))=>happy(X)))&
(((old(alice)|~curious(alice)))<=>(?[X]:((~brave(X)&~patient(X)))))&
((~humble(lucy))=>(?[X]:((generous(X)&wise(X)))))&
((?[X]:(creative(X)))<=>((wise(fred)&~brave(fred))))&
(((calm(alice)|~quiet(alice)))<=>((happy(lucy)&curi... | generous(lucy) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1097870933527393613163501
% SZS output start Proof for 1097870933527393613163501
9. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~strong(X0)) [input p8]
23. ~strong(lucy) & happy(lucy) [input p22]
25. ~generous(lucy) [input hypothesis]
59. ! [X0] : (((~quiet(X0) & generous(X0)) | strong(X0))... | 0 |
Everyone who is both funny and not kind is funny or not rich. If paul is not rich then paul is not strong or patient and vice versa. Everyone who is both strong and not patient is both creative and happy and vice versa. Everyone who is both not rich and tall is both not old and old. If susan is either generous or old t... | Susan is creative. | neutral | (![X]:((funny(X)&~kind(X))=>(funny(X)|~rich(X))))&
((~rich(paul))<=>((~strong(paul)|patient(paul))))&
(![X]:((strong(X)&~patient(X))<=>(creative(X)&happy(X))))&
(![X]:((~rich(X)&tall(X))=>(~old(X)&old(X))))&
(((generous(susan)<~>old(susan)))=>((strong(lucy)&~curious(lucy))))&
((~creative(lucy))=>(?[X]:(tall(X))))&
(![X... | creative(susan) | [] | null | 0 |
If someone is not funny or old then someone is not rich and vice versa. Everyone who is both not creative and not strong is both kind and creative. Everyone who is happy is not brave. If someone is either strong or rich then someone is both not strong and not curious and vice versa. Everyone who is quiet is curious and... | Susan is brave. | contradiction | ((?[X]:((~funny(X)|old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))=>(kind(X)&creative(X))))&
(![X]:(happy(X)=>~brave(X)))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:(quiet(X)<=>curious(X)))&
(((old(alice)&~old(alice)))<=>((~brave(mary)<~>kind(mary))))&
(![X]:((~brave(X... | brave(susan) | [
"p1",
"p2",
"p3",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4768508244741644746524810
% SZS output start Proof for 4768508244741644746524810
2. ! [X0] : ((~strong(X0) & ~creative(X0)) => (creative(X0) & kind(X0))) [input p1]
3. ! [X0] : (happy(X0) => ~brave(X0)) [input p2]
4. ? [X0] : (strong(X0) <~> rich(X0)) <=> ? [X0] : (~curious(X0) & ~strong(... | 0 |
If mary is both not tall and not kind then someone is happy or old. If someone is either not rich or not calm then mary is not humble or calm. Everyone who is not generous is both tall and happy. Everyone who is quiet is either not humble or curious and vice versa. Everyone who is curious or not happy is both generous ... | Alice is happy. | contradiction | (((~tall(mary)&~kind(mary)))=>(?[X]:((happy(X)|old(X)))))&
((?[X]:((~rich(X)<~>~calm(X))))=>((~humble(mary)|calm(mary))))&
(![X]:(~generous(X)=>(tall(X)&happy(X))))&
(![X]:(quiet(X)<=>(~humble(X)<~>curious(X))))&
(![X]:((curious(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(old(X)|genero... | happy(alice) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7699531030376561804256698
% SZS output start Proof for 7699531030376561804256698
4. ! [X0] : (quiet(X0) <=> (~humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~happy(X0) | curious(X0)) <=> (tall(X0) & generous(X0))) [input p4]
6. ! [X0] : ((~humble(X0) <~> generous(X0)) <=> (generous... | 0 |
Everyone who is happy or kind is both kind and not humble.
Everyone who is both old and not happy is not calm or creative.
Everyone who is strong or tall is either curious or creative.
If someone is calm or not creative then alice is old.
If someone is not strong then someone is not patient or not generous.
If paul is ... | Fred is patient. | contradiction | (![X]:((happy(X)|kind(X))=>(kind(X)&~humble(X))))&
(![X]:((old(X)&~happy(X))=>(~calm(X)|creative(X))))&
(![X]:((strong(X)|tall(X))=>(curious(X)<~>creative(X))))&
((?[X]:((calm(X)|~creative(X))))=>(old(alice)))&
((?[X]:(~strong(X)))=>(?[X]:((~patient(X)|~generous(X)))))&
(((~kind(paul)&~brave(paul)))<=>(?[X]:((~old(X)<~... | patient(fred) | [
"p3",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1951734149466041114859098
% SZS output start Proof for 1951734149466041114859098
4. ? [X0] : (~creative(X0) | calm(X0)) => old(alice) [input p3]
14. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p13]
15. (~creative(fred) & ~quiet(fred)) <=> ? [X0] : (~brave(X0) <~> ~patient(X0)) [i... | 0 |
Everyone who is both not rich and old is both not happy and not rich and vice versa.
Everyone who is brave is happy or not quiet and vice versa.
Everyone who is strong is both wise and generous and vice versa.
Everyone who is rich is not kind or not strong and vice versa.
If lucy is both humble and curious then mary is... | Paul is kind. | entailment | (![X]:((~rich(X)&old(X))<=>(~happy(X)&~rich(X))))&
(![X]:(brave(X)<=>(happy(X)|~quiet(X))))&
(![X]:(strong(X)<=>(wise(X)&generous(X))))&
(![X]:(rich(X)<=>(~kind(X)|~strong(X))))&
(((humble(lucy)&curious(lucy)))<=>((patient(mary)|tall(mary))))&
(![X]:(~tall(X)=>(quiet(X)|patient(X))))&
((~kind(paul))<=>((~tall(john)|cal... | kind(paul) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2630371166267179538127958
% SZS output start Proof for 2630371166267179538127958
2. ! [X0] : (brave(X0) <=> (~quiet(X0) | happy(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (~strong(X0) | ~kind(X0))) [input p3]
10. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> rich(X0)) [input p9]
12. ! [X0] :... | 0 |
If someone is both not patient and not funny then susan is kind or curious and vice versa. If someone is both rich and not brave then someone is not brave. Everyone who is both humble and not brave is not rich or funny. Everyone who is not wise or patient is either quiet or not tall. Everyone who is both curious and no... | Fred is kind. | neutral | ((?[X]:((~patient(X)&~funny(X))))<=>((kind(susan)|curious(susan))))&
((?[X]:((rich(X)&~brave(X))))=>(?[X]:(~brave(X))))&
(![X]:((humble(X)&~brave(X))=>(~rich(X)|funny(X))))&
(![X]:((~wise(X)|patient(X))=>(quiet(X)<~>~tall(X))))&
(![X]:((curious(X)&~funny(X))=>(wise(X)&brave(X))))&
(![X]:((~rich(X)&~strong(X))<=>(patien... | kind(fred) | [] | null | 0 |
Everyone who is not funny is both generous and not calm.
If john is either wise or funny then alice is both curious and strong.
Everyone who is not creative or funny is both not curious and not rich and vice versa.
Everyone who is not curious is not happy or not calm and vice versa.
Everyone who is old is both not old ... | Paul is not old. | entailment | (![X]:(~funny(X)=>(generous(X)&~calm(X))))&
(((wise(john)<~>funny(john)))=>((curious(alice)&strong(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~curious(X)&~rich(X))))&
(![X]:(~curious(X)<=>(~happy(X)|~calm(X))))&
(![X]:(old(X)=>(~old(X)&rich(X))))&
(((~wise(paul)&~humble(paul)))<=>(?[X]:(~tall(X))))&
(![X]:(patient(X)... | ~old(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 178966217916795031589538
% SZS output start Proof for 178966217916795031589538
5. ! [X0] : (old(X0) => (rich(X0) & ~old(X0))) [input p4]
22. old(paul) [input hypothesis]
27. ! [X0] : ((rich(X0) & ~old(X0)) | ~old(X0)) [ennf transformation 5]
85. ~old(X0) | ~old(X0) [cnf transformation 27]... | 0 |
If someone is either not generous or not patient then someone is either not calm or calm.
If someone is either calm or funny then alice is tall and vice versa.
If fred is both not curious and not quiet then someone is strong or not rich.
Everyone who is both not brave and creative is both kind and not wise.
If alice is... | Alice is humble. | neutral | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((~calm(X)<~>calm(X)))))&
((?[X]:((calm(X)<~>funny(X))))<=>(tall(alice)))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brave(X)&creative(X))=>(kind(X)&~wise(X))))&
((~happy(alice))<=>(?[X]:(~calm(X))))&
(![X]:((~happy(X)&brave(X))=>(happy(X)&k... | humble(alice) | [] | null | 0 |
Everyone who is happy is both not calm and brave and vice versa.
If someone is rich or not patient then alice is generous.
If someone is old or not brave then someone is not old.
Everyone who is either not creative or not funny is not curious.
If someone is both creative and not wise then someone is both not funny and ... | Lucy is not creative. | entailment | (![X]:(happy(X)<=>(~calm(X)&brave(X))))&
((?[X]:((rich(X)|~patient(X))))=>(generous(alice)))&
((?[X]:((old(X)|~brave(X))))=>(?[X]:(~old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>~curious(X)))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((~funny(X)&creative(X)))))&
((?[X]:(~curious(X)))<=>((~happy(john)&~creative(john))))... | ~creative(lucy) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5231617202537682814273751
% SZS output start Proof for 5231617202537682814273751
13. ! [X0] : ((~creative(X0) <~> ~tall(X0)) <=> (generous(X0) & strong(X0))) [input p12]
17. ~generous(lucy) & ~tall(lucy) [input p16]
21. creative(lucy) [input hypothesis]
62. ! [X0] : ((((tall(X0) | creativ... | 0 |
If mary is creative or not funny then someone is either patient or not brave and vice versa. Everyone who is humble or not wise is quiet. Everyone who is either strong or not funny is not generous or not old and vice versa. Everyone who is both calm and not patient is rich. Everyone who is not old is either calm or not... | Paul is not tall. | entailment | (((creative(mary)|~funny(mary)))<=>(?[X]:((patient(X)<~>~brave(X)))))&
(![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((strong(X)<~>~funny(X))<=>(~generous(X)|~old(X))))&
(![X]:((calm(X)&~patient(X))=>rich(X)))&
(![X]:(~old(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(~happy(X)=>creative(X)))&
((?[X]:(calm(X)))=>(?[X]:((~ri... | ~tall(paul) | [
"p1",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 898428120254614133033742
% SZS output start Proof for 898428120254614133033742
2. ! [X0] : ((~wise(X0) | humble(X0)) => quiet(X0)) [input p1]
9. ? [X0] : (quiet(X0) & humble(X0)) <=> ? [X0] : (tall(X0) | ~funny(X0)) [input p8]
11. ! [X0] : ((creative(X0) | quiet(X0)) => (~humble(X0) & tal... | 0 |
If lucy is not brave then someone is humble and vice versa.
If someone is either wise or not strong then someone is calm or rich.
Everyone who is not rich is not rich or happy and vice versa.
Everyone who is not generous is either curious or not curious and vice versa.
Everyone who is either rich or not calm is not old... | Fred is kind. | neutral | ((~brave(lucy))<=>(?[X]:(humble(X))))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:(~rich(X)<=>(~rich(X)|happy(X))))&
(![X]:(~generous(X)<=>(curious(X)<~>~curious(X))))&
(![X]:((rich(X)<~>~calm(X))<=>(~old(X)|happy(X))))&
(![X]:((humble(X)|~happy(X))=>~humble(X)))&
((~curious(alice))=>(?[X]:((c... | kind(fred) | [] | null | 0 |
If someone is not patient or not funny then someone is not kind or wise and vice versa.
If someone is creative then john is not generous and vice versa.
Everyone who is not rich is either not patient or rich.
If someone is wise or not tall then lucy is both not calm and generous.
Everyone who is not tall is rich or not... | Susan is generous. | contradiction | ((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:((~kind(X)|wise(X)))))&
((?[X]:(creative(X)))<=>(~generous(john)))&
(![X]:(~rich(X)=>(~patient(X)<~>rich(X))))&
((?[X]:((wise(X)|~tall(X))))=>((~calm(lucy)&generous(lucy))))&
(![X]:(~tall(X)<=>(rich(X)|~wise(X))))&
(![X]:((wise(X)&~wise(X))=>patient(X)))&
(![X]:((funny(X)&~curi... | generous(susan) | [
"p8",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 453955109171849032424281
% SZS output start Proof for 453955109171849032424281
9. ! [X0] : ((~funny(X0) & ~brave(X0)) <=> (humble(X0) | generous(X0))) [input p8]
14. ! [X0] : ((quiet(X0) | ~curious(X0)) => funny(X0)) [input p13]
24. ~curious(susan) & kind(susan) [input p23]
25. generous(s... | 0 |
Everyone who is both not happy and not old is either calm or humble and vice versa.
If john is tall then john is not calm.
Everyone who is generous is both not tall and not curious and vice versa.
Everyone who is not rich or not brave is wise or happy.
If someone is not wise then lucy is curious.
Everyone who is both o... | Mary is quiet. | neutral | (![X]:((~happy(X)&~old(X))<=>(calm(X)<~>humble(X))))&
((tall(john))=>(~calm(john)))&
(![X]:(generous(X)<=>(~tall(X)&~curious(X))))&
(![X]:((~rich(X)|~brave(X))=>(wise(X)|happy(X))))&
((?[X]:(~wise(X)))=>(curious(lucy)))&
(![X]:((old(X)&calm(X))<=>patient(X)))&
((?[X]:((old(X)&strong(X))))=>(patient(mary)))&
((quiet(mar... | quiet(mary) | [] | null | 0 |
If someone is not happy or not generous then susan is calm and vice versa. If someone is either not tall or humble then someone is both kind and not rich and vice versa. If mary is kind then paul is either not brave or funny. If someone is calm or generous then paul is funny. Everyone who is either not generous or humb... | Mary is not quiet. | neutral | ((?[X]:((~happy(X)|~generous(X))))<=>(calm(susan)))&
((?[X]:((~tall(X)<~>humble(X))))<=>(?[X]:((kind(X)&~rich(X)))))&
((kind(mary))=>((~brave(paul)<~>funny(paul))))&
((?[X]:((calm(X)|generous(X))))=>(funny(paul)))&
(![X]:((~generous(X)<~>humble(X))=>(old(X)|~generous(X))))&
((?[X]:((old(X)<~>curious(X))))<=>((~happy(jo... | ~quiet(mary) | [] | null | 0 |
If john is both funny and humble then mary is both not brave and not creative and vice versa. If someone is calm or not funny then mary is both not quiet and quiet and vice versa. Everyone who is kind or not rich is brave or not creative. If john is both not strong and not rich then paul is happy or rich. Everyone who ... | John is not calm. | entailment | (((funny(john)&humble(john)))<=>((~brave(mary)&~creative(mary))))&
((?[X]:((calm(X)|~funny(X))))<=>((~quiet(mary)&quiet(mary))))&
(![X]:((kind(X)|~rich(X))=>(brave(X)|~creative(X))))&
(((~strong(john)&~rich(john)))=>((happy(paul)|rich(paul))))&
(![X]:((brave(X)|quiet(X))=>(~happy(X)<~>~calm(X))))&
(![X]:((~calm(X)|kind... | ~calm(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5233185869004428067828783
% SZS output start Proof for 5233185869004428067828783
2. ? [X0] : (~funny(X0) | calm(X0)) <=> (quiet(mary) & ~quiet(mary)) [input p1]
21. calm(john) [input hypothesis]
42. (? [X0] : (~funny(X0) | calm(X0)) | (~quiet(mary) | quiet(mary))) & ((quiet(mary) & ~quiet... | 0 |
Everyone who is both not brave and old is either creative or strong and vice versa. Everyone who is generous or tall is not kind and vice versa. Everyone who is quiet or not creative is both not wise and not brave and vice versa. Everyone who is not funny is not old or tall and vice versa. If john is both happy and not... | Paul is not strong. | entailment | (![X]:((~brave(X)&old(X))<=>(creative(X)<~>strong(X))))&
(![X]:((generous(X)|tall(X))<=>~kind(X)))&
(![X]:((quiet(X)|~creative(X))<=>(~wise(X)&~brave(X))))&
(![X]:(~funny(X)<=>(~old(X)|tall(X))))&
(((happy(john)&~funny(john)))<=>((kind(fred)&~kind(fred))))&
(![X]:((~calm(X)|wise(X))=>kind(X)))&
((?[X]:((tall(X)|old(X))... | ~strong(paul) | [
"p0",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1526926130941744671182516
% SZS output start Proof for 1526926130941744671182516
1. ! [X0] : ((old(X0) & ~brave(X0)) <=> (creative(X0) <~> strong(X0))) [input p0]
7. ? [X0] : (old(X0) | tall(X0)) <=> (creative(fred) & calm(fred)) [input p6]
11. ! [X0] : (~happy(X0) <=> (happy(X0) <~> ~cre... | 0 |
If someone is humble then alice is either funny or not wise.
If someone is both wise and not calm then alice is happy and vice versa.
Everyone who is not wise or generous is not creative or not patient and vice versa.
If fred is both strong and not patient then john is both creative and not curious and vice versa.
Ever... | Fred is brave. | neutral | ((?[X]:(humble(X)))=>((funny(alice)<~>~wise(alice))))&
((?[X]:((wise(X)&~calm(X))))<=>(happy(alice)))&
(![X]:((~wise(X)|generous(X))<=>(~creative(X)|~patient(X))))&
(((strong(fred)&~patient(fred)))<=>((creative(john)&~curious(john))))&
(![X]:(kind(X)<=>(~strong(X)<~>generous(X))))&
(![X]:(~patient(X)<=>(~curious(X)|qui... | brave(fred) | [] | null | 0 |
If someone is either strong or wise then someone is both tall and not brave.
Everyone who is either not calm or wise is both kind and not funny and vice versa.
If paul is not curious or wise then mary is generous and vice versa.
If someone is both not curious and not calm then someone is not strong and vice versa.
Ever... | Alice is rich. | contradiction | ((?[X]:((strong(X)<~>wise(X))))=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((~calm(X)<~>wise(X))<=>(kind(X)&~funny(X))))&
(((~curious(paul)|wise(paul)))<=>(generous(mary)))&
((?[X]:((~curious(X)&~calm(X))))<=>(?[X]:(~strong(X))))&
(![X]:((quiet(X)&creative(X))<=>(tall(X)&~strong(X))))&
(![X]:((quiet(X)&patient(X))<=>(old(X)... | rich(alice) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9114008328245466460737599
% SZS output start Proof for 9114008328245466460737599
9. (calm(alice) & ~rich(alice)) <=> ? [X0] : strong(X0) [input p8]
19. ? [X0] : (strong(X0) & ~kind(X0)) [input p18]
25. rich(alice) [input hypothesis]
60. ((calm(alice) & ~rich(alice)) | ! [X0] : ~strong(X0)... | 0 |
If someone is both not creative and not happy then alice is either humble or not strong.
If someone is rich then susan is not creative or creative and vice versa.
Everyone who is strong or not generous is either curious or not happy and vice versa.
If someone is creative or kind then someone is not kind or kind and vic... | Fred is generous. | contradiction | ((?[X]:((~creative(X)&~happy(X))))=>((humble(alice)<~>~strong(alice))))&
((?[X]:(rich(X)))<=>((~creative(susan)|creative(susan))))&
(![X]:((strong(X)|~generous(X))<=>(curious(X)<~>~happy(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~kind(X)|kind(X)))))&
((?[X]:((humble(X)&~patient(X))))<=>((funny(susan)|generous(su... | generous(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4439808634841463047154238
% SZS output start Proof for 4439808634841463047154238
12. ! [X0] : ((patient(X0) | generous(X0)) <=> ~generous(X0)) [input p11]
25. generous(fred) [input hypothesis]
60. ! [X0] : (((patient(X0) | generous(X0)) | generous(X0)) & (~generous(X0) | (~patient(X0) & ~... | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is both rich and happy then lucy is not rich or kind and vice versa.
If lucy is kind then someone is either rich or not humble and vice versa.
Everyone who is either old or not curious is both not strong and patient.
Everyone who is h... | Alice is not wise. | entailment | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((rich(X)&happy(X))))<=>((~rich(lucy)|kind(lucy))))&
((kind(lucy))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(![X]:((old(X)<~>~curious(X))=>(~strong(X)&patient(X))))&
(![X]:(happy(X)<=>(kind(X)&~old(X))))&
(![X]:((~funny(X)<~>~tall(X))<=>(patient(X)&rich(X))... | ~wise(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4407693114878578903401767
% SZS output start Proof for 4407693114878578903401767
22. ~wise(alice) & ~curious(alice) [input p21]
24. wise(alice) [input hypothesis]
142. ~wise(alice) [cnf transformation 22]
144. wise(alice) [cnf transformation 24]
358. $false [subsumption resolution 144,142... | 0 |
If mary is creative or not funny then someone is either patient or not brave and vice versa. Everyone who is humble or not wise is quiet. Everyone who is either strong or not funny is not generous or not old and vice versa. Everyone who is both calm and not patient is rich. Everyone who is not old is either calm or not... | John is not generous. | neutral | (((creative(mary)|~funny(mary)))<=>(?[X]:((patient(X)<~>~brave(X)))))&
(![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((strong(X)<~>~funny(X))<=>(~generous(X)|~old(X))))&
(![X]:((calm(X)&~patient(X))=>rich(X)))&
(![X]:(~old(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(~happy(X)=>creative(X)))&
((?[X]:(calm(X)))=>(?[X]:((~ri... | ~generous(john) | [] | null | 0 |
Everyone who is either brave or quiet is both not strong and not tall and vice versa.
Everyone who is either patient or curious is not old and vice versa.
Everyone who is creative or funny is either curious or happy.
If someone is not kind then john is tall and vice versa.
If someone is not strong or humble then john i... | Susan is rich. | neutral | (![X]:((brave(X)<~>quiet(X))<=>(~strong(X)&~tall(X))))&
(![X]:((patient(X)<~>curious(X))<=>~old(X)))&
(![X]:((creative(X)|funny(X))=>(curious(X)<~>happy(X))))&
((?[X]:(~kind(X)))<=>(tall(john)))&
((?[X]:((~strong(X)|humble(X))))=>((~wise(john)|~happy(john))))&
(![X]:((~strong(X)&humble(X))=>(strong(X)<~>rich(X))))&
((?... | rich(susan) | [] | null | 0 |
Everyone who is both wise and kind is rich and vice versa. Everyone who is both not rich and not quiet is not tall or patient. If someone is both not kind and generous then mary is both not happy and not generous and vice versa. If lucy is not generous then mary is calm and vice versa. Everyone who is funny is rich or ... | Fred is curious. | neutral | (![X]:((wise(X)&kind(X))<=>rich(X)))&
(![X]:((~rich(X)&~quiet(X))=>(~tall(X)|patient(X))))&
((?[X]:((~kind(X)&generous(X))))<=>((~happy(mary)&~generous(mary))))&
((~generous(lucy))<=>(calm(mary)))&
(![X]:(funny(X)<=>(rich(X)|~calm(X))))&
(((~rich(mary)|~strong(mary)))=>((~wise(alice)&brave(alice))))&
(![X]:((~kind(X)|~... | curious(fred) | [] | null | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Fred is not strong. | contradiction | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | ~strong(fred) | [
"p1",
"p8",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 702773037855718604793608
% SZS output start Proof for 702773037855718604793608
2. ! [X0] : ((~humble(X0) <~> strong(X0)) => happy(X0)) [input p1]
9. ? [X0] : (generous(X0) | calm(X0)) => ? [X0] : ~old(X0) [input p8]
14. ! [X0] : ((~calm(X0) & humble(X0)) => (kind(X0) & happy(X0))) [input ... | 0 |
If someone is quiet or not curious then someone is not patient and vice versa.
If paul is not curious or not tall then someone is either not generous or not calm.
Everyone who is either not quiet or curious is quiet and vice versa.
Everyone who is kind or not curious is not funny or not generous and vice versa.
Everyon... | Paul is happy. | neutral | ((?[X]:((quiet(X)|~curious(X))))<=>(?[X]:(~patient(X))))&
(((~curious(paul)|~tall(paul)))=>(?[X]:((~generous(X)<~>~calm(X)))))&
(![X]:((~quiet(X)<~>curious(X))<=>quiet(X)))&
(![X]:((kind(X)|~curious(X))<=>(~funny(X)|~generous(X))))&
(![X]:((~rich(X)|~brave(X))<=>(~curious(X)&~old(X))))&
((?[X]:((generous(X)|~old(X))))<... | happy(paul) | [] | null | 0 |
Everyone who is not tall is both old and creative.
Everyone who is either not generous or not humble is not tall or not happy.
Everyone who is both generous and not humble is both strong and curious and vice versa.
If someone is both not patient and not creative then someone is not brave and vice versa.
If paul is happ... | Lucy is strong. | contradiction | (![X]:(~tall(X)=>(old(X)&creative(X))))&
(![X]:((~generous(X)<~>~humble(X))=>(~tall(X)|~happy(X))))&
(![X]:((generous(X)&~humble(X))<=>(strong(X)&curious(X))))&
((?[X]:((~patient(X)&~creative(X))))<=>(?[X]:(~brave(X))))&
(((happy(paul)|strong(paul)))<=>((patient(alice)|creative(alice))))&
(![X]:((old(X)|~calm(X))<=>(pa... | strong(lucy) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3834009021990132043890359
% SZS output start Proof for 3834009021990132043890359
8. ! [X0] : ((~calm(X0) <~> old(X0)) <=> (rich(X0) & ~rich(X0))) [input p7]
10. ! [X0] : ((~calm(X0) <~> old(X0)) <=> (patient(X0) | strong(X0))) [input p9]
24. strong(lucy) [input hypothesis]
44. ! [X0] : ((... | 0 |
If someone is either wise or brave then someone is both calm and strong.
If someone is both patient and not patient then paul is not creative or brave.
If someone is both wise and not funny then susan is happy or not quiet.
Everyone who is quiet is either wise or humble and vice versa.
If alice is either generous or ri... | Alice is not brave. | entailment | ((?[X]:((wise(X)<~>brave(X))))=>(?[X]:((calm(X)&strong(X)))))&
((?[X]:((patient(X)&~patient(X))))=>((~creative(paul)|brave(paul))))&
((?[X]:((wise(X)&~funny(X))))=>((happy(susan)|~quiet(susan))))&
(![X]:(quiet(X)<=>(wise(X)<~>humble(X))))&
(((generous(alice)<~>rich(alice)))<=>(?[X]:((brave(X)|funny(X)))))&
(((~kind(fre... | ~brave(alice) | [
"p4",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3845196291050711193279722
% SZS output start Proof for 3845196291050711193279722
5. (generous(alice) <~> rich(alice)) <=> ? [X0] : (funny(X0) | brave(X0)) [input p4]
12. ! [X0] : (brave(X0) => generous(X0)) [input p11]
14. ! [X0] : ((~patient(X0) | tall(X0)) => (wise(X0) & creative(X0))) ... | 0 |
Everyone who is either calm or tall is tall or not creative and vice versa. Everyone who is both happy and not kind is not old. If fred is quiet then alice is both funny and not wise. Everyone who is either not quiet or curious is humble and vice versa. Everyone who is funny is happy and vice versa. If lucy is either n... | Paul is wise. | entailment | (![X]:((calm(X)<~>tall(X))<=>(tall(X)|~creative(X))))&
(![X]:((happy(X)&~kind(X))=>~old(X)))&
((quiet(fred))=>((funny(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>curious(X))<=>humble(X)))&
(![X]:(funny(X)<=>happy(X)))&
(((~old(lucy)<~>~calm(lucy)))=>((brave(alice)<~>~rich(alice))))&
(((~humble(susan)<~>~funny(susan)))<... | wise(paul) | [
"p0",
"p4",
"p6",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8380746199776844615980577
% SZS output start Proof for 8380746199776844615980577
1. ! [X0] : ((calm(X0) <~> tall(X0)) <=> (~creative(X0) | tall(X0))) [input p0]
5. ! [X0] : (funny(X0) <=> happy(X0)) [input p4]
7. (~humble(susan) <~> ~funny(susan)) <=> (wise(paul) | ~humble(paul)) [input p... | 0 |
Everyone who is not rich is both generous and creative.
Everyone who is either calm or not happy is not wise.
Everyone who is old is patient.
If mary is generous then someone is both not tall and kind and vice versa.
Everyone who is both not strong and not humble is quiet.
Everyone who is not funny is both funny and no... | Mary is funny. | entailment | (![X]:(~rich(X)=>(generous(X)&creative(X))))&
(![X]:((calm(X)<~>~happy(X))=>~wise(X)))&
(![X]:(old(X)=>patient(X)))&
((generous(mary))<=>(?[X]:((~tall(X)&kind(X)))))&
(![X]:((~strong(X)&~humble(X))=>quiet(X)))&
(![X]:(~funny(X)<=>(funny(X)&~kind(X))))&
(![X]:((rich(X)&curious(X))<=>~generous(X)))&
(![X]:((old(X)<~>~bra... | funny(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7804616801820806676216618
% SZS output start Proof for 7804616801820806676216618
6. ! [X0] : (~funny(X0) <=> (~kind(X0) & funny(X0))) [input p5]
25. ~funny(mary) [input hypothesis]
45. ! [X0] : ((~funny(X0) | (kind(X0) | ~funny(X0))) & ((~kind(X0) & funny(X0)) | funny(X0))) [nnf transform... | 0 |
If paul is creative or old then lucy is either not old or not brave. If someone is brave or not creative then someone is both not funny and curious. Everyone who is both generous and not tall is wise or not tall and vice versa. If alice is either not funny or patient then someone is either happy or wise and vice versa.... | Fred is not happy. | contradiction | (((creative(paul)|old(paul)))=>((~old(lucy)<~>~brave(lucy))))&
((?[X]:((brave(X)|~creative(X))))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((generous(X)&~tall(X))<=>(wise(X)|~tall(X))))&
(((~funny(alice)<~>patient(alice)))<=>(?[X]:((happy(X)<~>wise(X)))))&
(((~happy(paul)|patient(paul)))=>(?[X]:(humble(X))))&
((?[X]:(~k... | ~happy(fred) | [
"p2",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9220556335684872921110011
% SZS output start Proof for 9220556335684872921110011
3. ! [X0] : ((~tall(X0) & generous(X0)) <=> (~tall(X0) | wise(X0))) [input p2]
10. ! [X0] : (~happy(X0) <=> (~wise(X0) & ~generous(X0))) [input p9]
20. wise(fred) [input p19]
25. ~happy(fred) [input hypothesi... | 0 |
If someone is not happy or not funny then someone is both not kind and wise.
Everyone who is not curious is tall or strong and vice versa.
Everyone who is not funny or not generous is not strong and vice versa.
Everyone who is not quiet is either not humble or curious.
Everyone who is both humble and happy is either no... | John is quiet. | contradiction | ((?[X]:((~happy(X)|~funny(X))))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:(~curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
((curious(j... | quiet(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 826573683822290372683425
% SZS output start Proof for 826573683822290372683425
11. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p10]
25. quiet(john) [input hypothesis]
27. ? [X0] : (~old(X0) | quiet(X0)) => ? [X1] : (wise(X1) & ~wise(X1)) [rectify 11]
37. ? [X... | 0 |
Everyone who is strong or creative is not old and vice versa.
Everyone who is both wise and creative is both curious and generous and vice versa.
Everyone who is funny or not creative is both not strong and not wise.
If someone is not rich then john is either brave or funny.
If lucy is both curious and rich then someon... | Mary is not generous. | contradiction | (![X]:((strong(X)|creative(X))<=>~old(X)))&
(![X]:((wise(X)&creative(X))<=>(curious(X)&generous(X))))&
(![X]:((funny(X)|~creative(X))=>(~strong(X)&~wise(X))))&
((?[X]:(~rich(X)))=>((brave(john)<~>funny(john))))&
(((curious(lucy)&rich(lucy)))=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)&strong(X))<=>~creative(X)))&
((?[X]:((~... | ~generous(mary) | [
"p1",
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8733640423604965932178479
% SZS output start Proof for 8733640423604965932178479
2. ! [X0] : ((creative(X0) & wise(X0)) <=> (generous(X0) & curious(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | funny(X0)) => (~wise(X0) & ~strong(X0))) [input p2]
6. ! [X0] : ((strong(X0) & ~quiet(X0)) <=>... | 0 |
If lucy is rich then susan is strong or not curious and vice versa.
Everyone who is tall is strong.
Everyone who is either rich or not happy is both humble and calm and vice versa.
Everyone who is both quiet and curious is not kind or wise.
Everyone who is humble or funny is happy or humble.
If someone is either humble... | Mary is strong. | entailment | ((rich(lucy))<=>((strong(susan)|~curious(susan))))&
(![X]:(tall(X)=>strong(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(humble(X)&calm(X))))&
(![X]:((quiet(X)&curious(X))=>(~kind(X)|wise(X))))&
(![X]:((humble(X)|funny(X))=>(happy(X)|humble(X))))&
((?[X]:((humble(X)<~>wise(X))))<=>((~kind(mary)<~>~creative(mary))))&
(![X]:(~ta... | strong(mary) | [
"p1",
"p6",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8542190251619366410936714
% SZS output start Proof for 8542190251619366410936714
2. ! [X0] : (tall(X0) => strong(X0)) [input p1]
7. ! [X0] : (~tall(X0) => (~happy(X0) & curious(X0))) [input p6]
13. ! [X0] : ((generous(X0) | brave(X0)) => (~quiet(X0) & ~generous(X0))) [input p12]
14. ! [X0... | 0 |
If susan is both calm and not happy then someone is either wise or quiet.
Everyone who is either not quiet or not old is not quiet.
If paul is not brave or humble then alice is either not generous or not wise.
Everyone who is not funny or not creative is not happy.
Everyone who is not happy is not calm.
Everyone who is... | Paul is calm. | contradiction | (((calm(susan)&~happy(susan)))=>(?[X]:((wise(X)<~>quiet(X)))))&
(![X]:((~quiet(X)<~>~old(X))=>~quiet(X)))&
(((~brave(paul)|humble(paul)))=>((~generous(alice)<~>~wise(alice))))&
(![X]:((~funny(X)|~creative(X))=>~happy(X)))&
(![X]:(~happy(X)=>~calm(X)))&
(![X]:((brave(X)<~>~patient(X))=>(~wise(X)&~rich(X))))&
(![X]:((~qu... | calm(paul) | [
"p3",
"p4",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5816899139615291905909081
% SZS output start Proof for 5816899139615291905909081
4. ! [X0] : ((~creative(X0) | ~funny(X0)) => ~happy(X0)) [input p3]
5. ! [X0] : (~happy(X0) => ~calm(X0)) [input p4]
13. ! [X0] : ((~funny(X0) & ~patient(X0)) <=> humble(X0)) [input p12]
20. humble(paul) [inp... | 0 |
If lucy is both not wise and not kind then someone is both creative and not strong.
Everyone who is both not happy and not strong is not funny or not brave and vice versa.
Everyone who is both calm and strong is not wise and vice versa.
Everyone who is strong or brave is either not quiet or not strong and vice versa.
E... | Paul is strong. | contradiction | (((~wise(lucy)&~kind(lucy)))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((calm(X)&strong(X))<=>~wise(X)))&
(![X]:((strong(X)|brave(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~rich(X)<~>tall(X))=>~wise(X)))&
((?[X]:((~tall(X)|funny(X))))=>(?[X]:(~tall(X))))&
(![X]:... | strong(paul) | [
"p1",
"p3",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4528091278738650160275538
% SZS output start Proof for 4528091278738650160275538
2. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p1]
4. ! [X0] : ((brave(X0) | strong(X0)) <=> (~quiet(X0) <~> ~strong(X0))) [input p3]
11. ! [X0] : ((funny(X0) & brave(X0)) <=> (... | 0 |
If someone is both not quiet and tall then someone is both generous and not old.
Everyone who is not brave is both not humble and kind.
If someone is either brave or not quiet then mary is either calm or tall.
If fred is both not strong and old then someone is not brave or brave and vice versa.
Everyone who is not humb... | John is not rich. | entailment | ((?[X]:((~quiet(X)&tall(X))))=>(?[X]:((generous(X)&~old(X)))))&
(![X]:(~brave(X)=>(~humble(X)&kind(X))))&
((?[X]:((brave(X)<~>~quiet(X))))=>((calm(mary)<~>tall(mary))))&
(((~strong(fred)&old(fred)))<=>(?[X]:((~brave(X)|brave(X)))))&
(![X]:((~humble(X)|~strong(X))<=>(brave(X)<~>generous(X))))&
((?[X]:((~generous(X)|quie... | ~rich(john) | [
"p1",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 296486961628907438531829
% SZS output start Proof for 296486961628907438531829
2. ! [X0] : (~brave(X0) => (kind(X0) & ~humble(X0))) [input p1]
8. ! [X0] : ((~generous(X0) & ~humble(X0)) <=> (~kind(X0) & generous(X0))) [input p7]
9. ! [X0] : (humble(X0) => (brave(X0) <~> ~kind(X0))) [input... | 0 |
If fred is both curious and calm then someone is either not humble or creative.
Everyone who is strong or not quiet is both kind and humble and vice versa.
Everyone who is kind is either quiet or kind.
If mary is both brave and not humble then alice is either not happy or not calm and vice versa.
If someone is either h... | Fred is not creative. | entailment | (((curious(fred)&calm(fred)))=>(?[X]:((~humble(X)<~>creative(X)))))&
(![X]:((strong(X)|~quiet(X))<=>(kind(X)&humble(X))))&
(![X]:(kind(X)=>(quiet(X)<~>kind(X))))&
(((brave(mary)&~humble(mary)))<=>((~happy(alice)<~>~calm(alice))))&
((?[X]:((humble(X)<~>patient(X))))=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((strong(X)&cr... | ~creative(fred) | [
"p1",
"p2",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6021918741774704018391706
% SZS output start Proof for 6021918741774704018391706
2. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (humble(X0) & kind(X0))) [input p1]
3. ! [X0] : (kind(X0) => (quiet(X0) <~> kind(X0))) [input p2]
8. ! [X0] : ((~strong(X0) | tall(X0)) <=> ~wise(X0)) [input p7]
13.... | 0 |
Everyone who is not curious is not funny and vice versa.
Everyone who is both funny and quiet is rich or happy and vice versa.
Everyone who is both not kind and not humble is either quiet or not strong.
Everyone who is both not curious and not strong is not humble and vice versa.
Everyone who is happy or old is both ge... | Mary is happy. | contradiction | (![X]:(~curious(X)<=>~funny(X)))&
(![X]:((funny(X)&quiet(X))<=>(rich(X)|happy(X))))&
(![X]:((~kind(X)&~humble(X))=>(quiet(X)<~>~strong(X))))&
(![X]:((~curious(X)&~strong(X))<=>~humble(X)))&
(![X]:((happy(X)|old(X))=>(generous(X)&strong(X))))&
((?[X]:((wise(X)<~>~calm(X))))<=>(?[X]:((kind(X)&~brave(X)))))&
(((~curious(s... | happy(mary) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4848431394447916637363253
% SZS output start Proof for 4848431394447916637363253
1. ! [X0] : (~curious(X0) <=> ~funny(X0)) [input p0]
2. ! [X0] : ((quiet(X0) & funny(X0)) <=> (happy(X0) | rich(X0))) [input p1]
4. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~humble(X0)) [input p3]
9. (~tall... | 0 |
Everyone who is patient or not humble is rich and vice versa.
Everyone who is either quiet or tall is old.
Everyone who is not funny or not patient is either wise or humble and vice versa.
Everyone who is either brave or not happy is either calm or funny and vice versa.
If someone is both quiet and not brave then someo... | John is not humble. | neutral | (![X]:((patient(X)|~humble(X))<=>rich(X)))&
(![X]:((quiet(X)<~>tall(X))=>old(X)))&
(![X]:((~funny(X)|~patient(X))<=>(wise(X)<~>humble(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((~wise(X)<~>tall(X)))))&
((?[X]:(~creative(X)))<=>((old(paul)<~>kind(paul))))&
(![X... | ~humble(john) | [] | null | 0 |
Everyone who is calm or patient is either kind or brave.
If mary is brave then someone is either not old or not happy.
If someone is not old then someone is both not strong and not happy.
Everyone who is either calm or not quiet is not rich.
Everyone who is both not curious and not calm is both funny and not patient.
I... | Fred is not kind. | contradiction | (![X]:((calm(X)|patient(X))=>(kind(X)<~>brave(X))))&
((brave(mary))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(~old(X)))=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((calm(X)<~>~quiet(X))=>~rich(X)))&
(![X]:((~curious(X)&~calm(X))=>(funny(X)&~patient(X))))&
(((creative(mary)<~>~wise(mary)))<=>((wise(lucy)&~wise(lucy))))&
(... | ~kind(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 584358274823400978420
% SZS output start Proof for 584358274823400978420
22. ~funny(fred) & kind(fred) [input p21]
25. ~kind(fred) [input hypothesis]
127. kind(fred) [cnf transformation 22]
132. ~kind(fred) [cnf transformation 25]
310. $false [subsumption resolution 132,127]
% SZS output ... | 0 |
Everyone who is humble or not quiet is tall and vice versa.
Everyone who is both funny and wise is not wise or happy.
If fred is either not humble or not creative then lucy is wise.
Everyone who is either not tall or not wise is either happy or brave and vice versa.
If someone is creative then mary is not happy or not ... | Susan is not wise. | entailment | (![X]:((humble(X)|~quiet(X))<=>tall(X)))&
(![X]:((funny(X)&wise(X))=>(~wise(X)|happy(X))))&
(((~humble(fred)<~>~creative(fred)))=>(wise(lucy)))&
(![X]:((~tall(X)<~>~wise(X))<=>(happy(X)<~>brave(X))))&
((?[X]:(creative(X)))<=>((~happy(mary)|~patient(mary))))&
(![X]:((~wise(X)<~>~generous(X))=>(~funny(X)&kind(X))))&
(![X... | ~wise(susan) | [
"p1",
"p6",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 166847256863463232236893
% SZS output start Proof for 166847256863463232236893
2. ! [X0] : ((wise(X0) & funny(X0)) => (happy(X0) | ~wise(X0))) [input p1]
7. ! [X0] : ((funny(X0) <~> ~strong(X0)) => (tall(X0) & strong(X0))) [input p6]
9. ! [X0] : ((quiet(X0) | ~quiet(X0)) => (~funny(X0) <~... | 0 |
If someone is generous then fred is not patient and vice versa.
Everyone who is strong is both curious and patient and vice versa.
Everyone who is not humble is both happy and rich and vice versa.
If alice is not rich or patient then mary is either tall or not humble.
Everyone who is either not humble or not funny is n... | John is humble. | neutral | ((?[X]:(generous(X)))<=>(~patient(fred)))&
(![X]:(strong(X)<=>(curious(X)&patient(X))))&
(![X]:(~humble(X)<=>(happy(X)&rich(X))))&
(((~rich(alice)|patient(alice)))=>((tall(mary)<~>~humble(mary))))&
(![X]:((~humble(X)<~>~funny(X))=>(~curious(X)|~tall(X))))&
(((quiet(mary)<~>creative(mary)))=>((~rich(john)&creative(john)... | humble(john) | [] | null | 0 |
If paul is either not old or creative then someone is not curious and vice versa.
Everyone who is not brave is both creative and brave.
Everyone who is tall is not brave.
Everyone who is either not strong or rich is both generous and quiet.
If paul is old then susan is both funny and curious.
Everyone who is brave or f... | Paul is old. | contradiction | (((~old(paul)<~>creative(paul)))<=>(?[X]:(~curious(X))))&
(![X]:(~brave(X)=>(creative(X)&brave(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((~strong(X)<~>rich(X))=>(generous(X)&quiet(X))))&
((old(paul))=>((funny(susan)&curious(susan))))&
(![X]:((brave(X)|funny(X))<=>(~old(X)<~>~brave(X))))&
((?[X]:((~curious(X)|quiet(X))... | old(paul) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2878625567601035905561508
% SZS output start Proof for 2878625567601035905561508
2. ! [X0] : (~brave(X0) => (brave(X0) & creative(X0))) [input p1]
6. ! [X0] : ((funny(X0) | brave(X0)) <=> (~old(X0) <~> ~brave(X0))) [input p5]
24. old(paul) [input hypothesis]
28. ! [X0] : ((brave(X0) & cre... | 0 |
Everyone who is strong or not rich is calm or creative and vice versa. If alice is not brave then alice is both humble and strong. If susan is both rich and not old then alice is both not old and not calm and vice versa. Everyone who is generous or not creative is creative. Everyone who is happy or strong is either not... | Susan is patient. | neutral | (![X]:((strong(X)|~rich(X))<=>(calm(X)|creative(X))))&
((~brave(alice))=>((humble(alice)&strong(alice))))&
(((rich(susan)&~old(susan)))<=>((~old(alice)&~calm(alice))))&
(![X]:((generous(X)|~creative(X))=>creative(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~tall(X))))&
(![X]:((curious(X)&strong(X))=>(tall(X)&curiou... | patient(susan) | [] | null | 0 |
Everyone who is either brave or not happy is both generous and not generous and vice versa.
If john is both quiet and calm then alice is both curious and humble.
Everyone who is either not quiet or not calm is either rich or strong and vice versa.
Everyone who is not strong or not generous is not quiet and vice versa.
... | Lucy is generous. | entailment | (![X]:((brave(X)<~>~happy(X))<=>(generous(X)&~generous(X))))&
(((quiet(john)&calm(john)))=>((curious(alice)&humble(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~strong(X)|~generous(X))<=>~quiet(X)))&
(![X]:((~patient(X)|brave(X))=>(happy(X)|funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(... | generous(lucy) | [
"p0",
"p3",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8249363665145547753228156
% SZS output start Proof for 8249363665145547753228156
1. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (~generous(X0) & generous(X0))) [input p0]
4. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> ~quiet(X0)) [input p3]
10. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (~rich(X... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.