premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not humble or kind is both happy and not curious.
If lucy is not happy then susan is humble or not rich and vice versa.
Everyone who is not humble or rich is either old or wise.
Everyone who is either curious or quiet is not happy or patient and vice versa.
If paul is either tall or not humble then some... | Lucy is not kind. | entailment | (![X]:((~humble(X)|kind(X))=>(happy(X)&~curious(X))))&
((~happy(lucy))<=>((humble(susan)|~rich(susan))))&
(![X]:((~humble(X)|rich(X))=>(old(X)<~>wise(X))))&
(![X]:((curious(X)<~>quiet(X))<=>(~happy(X)|patient(X))))&
(((tall(paul)<~>~humble(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((~generous(X)&~kind(X))<=>(... | ~kind(lucy) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1084463971452534599882883
% SZS output start Proof for 1084463971452534599882883
1. ! [X0] : ((kind(X0) | ~humble(X0)) => (~curious(X0) & happy(X0))) [input p0]
6. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (wise(X0) | happy(X0))) [input p5]
24. kind(lucy) [input hypothesis]
26. ! [X0] : (... | 0 |
Everyone who is both not happy and not brave is either creative or patient.
Everyone who is either brave or patient is either not humble or curious and vice versa.
Everyone who is both not humble and humble is not wise or not rich and vice versa.
Everyone who is either happy or not generous is old.
Everyone who is calm... | Alice is not tall. | contradiction | (![X]:((~happy(X)&~brave(X))=>(creative(X)<~>patient(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((~humble(X)&humble(X))<=>(~wise(X)|~rich(X))))&
(![X]:((happy(X)<~>~generous(X))=>old(X)))&
(![X]:(calm(X)<=>(~brave(X)&~tall(X))))&
((~funny(fred))<=>(?[X]:((~patient(X)&~quiet(X)))))&
((~cr... | ~tall(alice) | [
"p2",
"p4",
"p6",
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2130083793555499937580564
% SZS output start Proof for 2130083793555499937580564
3. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (~rich(X0) | ~wise(X0))) [input p2]
5. ! [X0] : (calm(X0) <=> (~tall(X0) & ~brave(X0))) [input p4]
7. ~creative(john) => (~brave(alice) & ~quiet(alice)) [input p6]
... | 0 |
Everyone who is calm or generous is either not happy or brave. If someone is creative then someone is not kind. Everyone who is both not strong and calm is both not creative and generous and vice versa. Everyone who is not patient is wise and vice versa. If someone is humble or not humble then someone is either rich or... | Mary is old. | contradiction | (![X]:((calm(X)|generous(X))=>(~happy(X)<~>brave(X))))&
((?[X]:(creative(X)))=>(?[X]:(~kind(X))))&
(![X]:((~strong(X)&calm(X))<=>(~creative(X)&generous(X))))&
(![X]:(~patient(X)<=>wise(X)))&
((?[X]:((humble(X)|~humble(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((funny(X)|~wise(X))=>~old(X)))&
(((strong(fred)|curiou... | old(mary) | [
"p5",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 859268165248058116542710
% SZS output start Proof for 859268165248058116542710
6. ! [X0] : ((~wise(X0) | funny(X0)) => ~old(X0)) [input p5]
12. ? [X0] : (~old(X0) | ~generous(X0)) => ~old(mary) [input p11]
15. ? [X0] : tall(X0) <=> ? [X0] : (~wise(X0) & rich(X0)) [input p14]
18. tall(paul... | 0 |
If someone is either quiet or not funny then paul is quiet and vice versa.
If mary is not creative or not rich then someone is brave or not calm.
If someone is either brave or generous then mary is both tall and not funny and vice versa.
Everyone who is not tall is curious.
Everyone who is both humble and wise is both ... | John is kind. | entailment | ((?[X]:((quiet(X)<~>~funny(X))))<=>(quiet(paul)))&
(((~creative(mary)|~rich(mary)))=>(?[X]:((brave(X)|~calm(X)))))&
((?[X]:((brave(X)<~>generous(X))))<=>((tall(mary)&~funny(mary))))&
(![X]:(~tall(X)=>curious(X)))&
(![X]:((humble(X)&wise(X))<=>(tall(X)&~rich(X))))&
(((strong(john)<~>~happy(john)))<=>((~kind(alice)&funny... | kind(john) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6484434240151057017432896
% SZS output start Proof for 6484434240151057017432896
14. ! [X0] : ((humble(X0) <~> happy(X0)) <=> (kind(X0) | humble(X0))) [input p13]
17. curious(john) & happy(john) [input p16]
25. ~kind(john) [input hypothesis]
59. ! [X0] : ((((~happy(X0) | ~humble(X0)) & (h... | 0 |
If someone is either not brave or not curious then someone is both curious and strong and vice versa.
Everyone who is either curious or not strong is wise or not strong.
Everyone who is creative or not old is not funny or not rich and vice versa.
If john is old or generous then someone is both not wise and not happy an... | Fred is wise. | contradiction | ((?[X]:((~brave(X)<~>~curious(X))))<=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((curious(X)<~>~strong(X))=>(wise(X)|~strong(X))))&
(![X]:((creative(X)|~old(X))<=>(~funny(X)|~rich(X))))&
(((old(john)|generous(john)))<=>(?[X]:((~wise(X)&~happy(X)))))&
(![X]:(tall(X)<=>(~kind(X)<~>brave(X))))&
((?[X]:((~strong(X)<~>brave(X... | wise(fred) | [
"p6",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6266976292003313103777031
% SZS output start Proof for 6266976292003313103777031
7. ! [X0] : ((calm(X0) <~> ~quiet(X0)) => (quiet(X0) & patient(X0))) [input p6]
15. ? [X0] : (quiet(X0) | creative(X0)) <=> ~wise(fred) [input p14]
17. ? [X0] : (~calm(X0) | quiet(X0)) [input p16]
25. wise(fr... | 0 |
If someone is either not strong or not old then paul is old or not tall.
If someone is funny then someone is either not tall or calm.
If alice is tall then someone is not calm or tall and vice versa.
Everyone who is either quiet or not rich is both not rich and brave and vice versa.
If mary is not kind or not funny the... | Susan is not creative. | neutral | ((?[X]:((~strong(X)<~>~old(X))))=>((old(paul)|~tall(paul))))&
((?[X]:(funny(X)))=>(?[X]:((~tall(X)<~>calm(X)))))&
((tall(alice))<=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~rich(X)&brave(X))))&
(((~kind(mary)|~funny(mary)))=>((old(susan)|strong(susan))))&
(((~patient(alice)<~>~humble(alice)))=>((~s... | ~creative(susan) | [] | null | 0 |
Everyone who is either not calm or not creative is not brave or not creative and vice versa. If alice is not kind then someone is either not kind or old. If someone is not patient then lucy is both wise and not quiet. Everyone who is not strong is not old and vice versa. If susan is funny then someone is not calm. If m... | Lucy is quiet. | contradiction | (![X]:((~calm(X)<~>~creative(X))<=>(~brave(X)|~creative(X))))&
((~kind(alice))=>(?[X]:((~kind(X)<~>old(X)))))&
((?[X]:(~patient(X)))=>((wise(lucy)&~quiet(lucy))))&
(![X]:(~strong(X)<=>~old(X)))&
((funny(susan))=>(?[X]:(~calm(X))))&
((~funny(mary))<=>((quiet(mary)<~>humble(mary))))&
(![X]:(patient(X)=>(~happy(X)&~tall(X... | quiet(lucy) | [
"p0",
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6974967904398608434743173
% SZS output start Proof for 6974967904398608434743173
1. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (~creative(X0) | ~brave(X0))) [input p0]
3. ? [X0] : ~patient(X0) => (~quiet(lucy) & wise(lucy)) [input p2]
16. ? [X0] : (~brave(X0) <~> calm(X0)) => ? [X0] : ~p... | 0 |
Everyone who is not patient or not old is either tall or not creative and vice versa. Everyone who is curious or brave is both humble and quiet and vice versa. Everyone who is both not brave and not rich is not brave. Everyone who is not brave or wise is either tall or funny. Everyone who is either funny or not curious... | Susan is not wise. | contradiction | (![X]:((~patient(X)|~old(X))<=>(tall(X)<~>~creative(X))))&
(![X]:((curious(X)|brave(X))<=>(humble(X)&quiet(X))))&
(![X]:((~brave(X)&~rich(X))=>~brave(X)))&
(![X]:((~brave(X)|wise(X))=>(tall(X)<~>funny(X))))&
(![X]:((funny(X)<~>~curious(X))=>generous(X)))&
((?[X]:((patient(X)|quiet(X))))=>((funny(susan)&~quiet(susan))))... | ~wise(susan) | [
"p1",
"p4",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6107918529561561575766059
% SZS output start Proof for 6107918529561561575766059
2. ! [X0] : ((brave(X0) | curious(X0)) <=> (quiet(X0) & humble(X0))) [input p1]
5. ! [X0] : ((funny(X0) <~> ~curious(X0)) => generous(X0)) [input p4]
6. ? [X0] : (quiet(X0) | patient(X0)) => (~quiet(susan) & ... | 0 |
Everyone who is both not calm and not humble is quiet. If someone is humble or not happy then someone is either not quiet or wise. If someone is creative then mary is strong or quiet. Everyone who is funny or not wise is happy or not kind. If someone is both not happy and wise then paul is rich or funny and vice versa.... | Fred is creative. | neutral | (![X]:((~calm(X)&~humble(X))=>quiet(X)))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:((~quiet(X)<~>wise(X)))))&
((?[X]:(creative(X)))=>((strong(mary)|quiet(mary))))&
(![X]:((funny(X)|~wise(X))=>(happy(X)|~kind(X))))&
((?[X]:((~happy(X)&wise(X))))<=>((rich(paul)|funny(paul))))&
(![X]:((tall(X)&funny(X))<=>(~generous(X)&pati... | creative(fred) | [] | null | 0 |
Everyone who is kind is either not kind or not happy and vice versa.
Everyone who is both not curious and generous is kind or tall and vice versa.
If someone is both calm and not patient then john is either strong or kind.
Everyone who is either curious or not old is kind or not calm and vice versa.
If paul is not rich... | Mary is quiet. | entailment | (![X]:(kind(X)<=>(~kind(X)<~>~happy(X))))&
(![X]:((~curious(X)&generous(X))<=>(kind(X)|tall(X))))&
((?[X]:((calm(X)&~patient(X))))=>((strong(john)<~>kind(john))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~calm(X))))&
((~rich(paul))=>(humble(alice)))&
(![X]:((~quiet(X)&~kind(X))=>(brave(X)<~>~wise(X))))&
(![X]:((~happy... | quiet(mary) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5748304892875233229561344
% SZS output start Proof for 5748304892875233229561344
8. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (~strong(X0) & humble(X0))) [input p7]
12. ! [X0] : ((~strong(X0) | brave(X0)) => ~humble(X0)) [input p11]
21. ~quiet(mary) [input hypothesis]
26. ! [X0] : ((~strong... | 0 |
If paul is either not funny or not rich then someone is not curious.
If mary is wise then john is not wise or not tall.
Everyone who is either not curious or patient is old or not kind.
Everyone who is not happy is both not strong and not patient.
Everyone who is both brave and happy is not creative and vice versa.
If ... | John is wise. | neutral | (((~funny(paul)<~>~rich(paul)))=>(?[X]:(~curious(X))))&
((wise(mary))=>((~wise(john)|~tall(john))))&
(![X]:((~curious(X)<~>patient(X))=>(old(X)|~kind(X))))&
(![X]:(~happy(X)=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~... | wise(john) | [] | null | 0 |
Everyone who is not patient or quiet is both not generous and funny.
Everyone who is not quiet is not patient or not humble and vice versa.
Everyone who is both old and not wise is either not patient or rich and vice versa.
If fred is not tall then someone is both kind and happy and vice versa.
If susan is not generous... | John is patient. | contradiction | (![X]:((~patient(X)|quiet(X))=>(~generous(X)&funny(X))))&
(![X]:(~quiet(X)<=>(~patient(X)|~humble(X))))&
(![X]:((old(X)&~wise(X))<=>(~patient(X)<~>rich(X))))&
((~tall(fred))<=>(?[X]:((kind(X)&happy(X)))))&
(((~generous(susan)|tall(susan)))<=>(?[X]:(strong(X))))&
((?[X]:(humble(X)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]... | patient(john) | [
"p1",
"p6",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 897715253033472179591095
% SZS output start Proof for 897715253033472179591095
2. ! [X0] : (~quiet(X0) <=> (~humble(X0) | ~patient(X0))) [input p1]
7. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (~creative(X0) & ~humble(X0))) [input p6]
18. brave(john) & ~quiet(john) [input p17]
20. ~creative... | 0 |
Everyone who is old or creative is not humble.
If someone is either funny or strong then paul is not strong or not funny and vice versa.
Everyone who is tall or not tall is brave.
Everyone who is not happy is not kind.
Everyone who is both not calm and curious is both wise and tall.
If someone is both generous and not ... | Alice is not kind. | entailment | (![X]:((old(X)|creative(X))=>~humble(X)))&
((?[X]:((funny(X)<~>strong(X))))<=>((~strong(paul)|~funny(paul))))&
(![X]:((tall(X)|~tall(X))=>brave(X)))&
(![X]:(~happy(X)=>~kind(X)))&
(![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(... | ~kind(alice) | [
"p0",
"p3",
"p4",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5876770956906930451632086
% SZS output start Proof for 5876770956906930451632086
1. ! [X0] : ((creative(X0) | old(X0)) => ~humble(X0)) [input p0]
4. ! [X0] : (~happy(X0) => ~kind(X0)) [input p3]
5. ! [X0] : ((curious(X0) & ~calm(X0)) => (tall(X0) & wise(X0))) [input p4]
13. ! [X0] : ((~pa... | 0 |
If someone is not patient or not quiet then lucy is curious or strong.
If someone is either not old or not strong then someone is old or wise and vice versa.
If mary is wise then someone is either not funny or not old.
Everyone who is either not curious or not calm is not creative.
Everyone who is not funny is not old ... | Susan is not happy. | neutral | ((?[X]:((~patient(X)|~quiet(X))))=>((curious(lucy)|strong(lucy))))&
((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((old(X)|wise(X)))))&
((wise(mary))=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~curious(X)<~>~calm(X))=>~creative(X)))&
(![X]:(~funny(X)=>(~old(X)|~kind(X))))&
(![X]:((~tall(X)|rich(X))<=>(~tall(X)<~>~old(X))))&
... | ~happy(susan) | [] | null | 0 |
Everyone who is not patient is both not quiet and not calm and vice versa.
If alice is both calm and strong then someone is calm or happy and vice versa.
Everyone who is either not calm or quiet is calm and vice versa.
If someone is not creative or not brave then fred is either not humble or brave.
If susan is either n... | Alice is quiet. | entailment | (![X]:(~patient(X)<=>(~quiet(X)&~calm(X))))&
(((calm(alice)&strong(alice)))<=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~calm(X)<~>quiet(X))<=>calm(X)))&
((?[X]:((~creative(X)|~brave(X))))=>((~humble(fred)<~>brave(fred))))&
(((~calm(susan)<~>~funny(susan)))<=>((~strong(alice)&funny(alice))))&
((?[X]:((kind(X)|~kind(X))))=>... | quiet(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 374314486726809975681873
% SZS output start Proof for 374314486726809975681873
3. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> calm(X0)) [input p2]
24. ~quiet(alice) [input hypothesis]
40. ! [X0] : ((((~quiet(X0) | calm(X0)) & (quiet(X0) | ~calm(X0))) | ~calm(X0)) & (calm(X0) | ((~calm(X0) | ~... | 0 |
Everyone who is not tall or brave is either creative or not quiet and vice versa.
Everyone who is generous or not humble is either not brave or brave.
If susan is both not curious and not creative then lucy is either tall or quiet and vice versa.
If someone is creative or wise then someone is not quiet and vice versa.
... | Susan is not creative. | neutral | (![X]:((~tall(X)|brave(X))<=>(creative(X)<~>~quiet(X))))&
(![X]:((generous(X)|~humble(X))=>(~brave(X)<~>brave(X))))&
(((~curious(susan)&~creative(susan)))<=>((tall(lucy)<~>quiet(lucy))))&
((?[X]:((creative(X)|wise(X))))<=>(?[X]:(~quiet(X))))&
(((~tall(alice)|curious(alice)))<=>(?[X]:(humble(X))))&
(![X]:(~rich(X)=>(str... | ~creative(susan) | [] | null | 0 |
Everyone who is either funny or happy is patient or not patient. Everyone who is not kind is both not brave and old. If alice is kind or not wise then someone is not creative or not generous. Everyone who is funny or curious is not curious or funny. Everyone who is calm or creative is not generous. Everyone who is eith... | Susan is not tall. | contradiction | (![X]:((funny(X)<~>happy(X))=>(patient(X)|~patient(X))))&
(![X]:(~kind(X)=>(~brave(X)&old(X))))&
(((kind(alice)|~wise(alice)))=>(?[X]:((~creative(X)|~generous(X)))))&
(![X]:((funny(X)|curious(X))=>(~curious(X)|funny(X))))&
(![X]:((calm(X)|creative(X))=>~generous(X)))&
(![X]:((~brave(X)<~>~generous(X))=>(quiet(X)<~>~cre... | ~tall(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1237372492129956480759774
% SZS output start Proof for 1237372492129956480759774
11. ! [X0] : ((~curious(X0) & tall(X0)) <=> ~tall(X0)) [input p10]
23. ~tall(susan) [input hypothesis]
56. ! [X0] : (((~curious(X0) & tall(X0)) | tall(X0)) & (~tall(X0) | (curious(X0) | ~tall(X0)))) [nnf tran... | 0 |
Everyone who is either generous or curious is generous or not creative and vice versa.
Everyone who is both not creative and not brave is not creative or curious and vice versa.
Everyone who is curious is not old and vice versa.
If alice is either not tall or kind then someone is not kind and vice versa.
Everyone who i... | Mary is not calm. | neutral | (![X]:((generous(X)<~>curious(X))<=>(generous(X)|~creative(X))))&
(![X]:((~creative(X)&~brave(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)<=>~old(X)))&
(((~tall(alice)<~>kind(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((generous(X)&quiet(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~funny(X)|~curio... | ~calm(mary) | [] | null | 0 |
Everyone who is quiet or not kind is both not tall and not generous and vice versa. Everyone who is wise is tall. If paul is not rich then susan is both not humble and creative and vice versa. Everyone who is not strong or not humble is both not patient and humble and vice versa. If paul is both calm and not patient th... | Fred is old. | neutral | (![X]:((quiet(X)|~kind(X))<=>(~tall(X)&~generous(X))))&
(![X]:(wise(X)=>tall(X)))&
((~rich(paul))<=>((~humble(susan)&creative(susan))))&
(![X]:((~strong(X)|~humble(X))<=>(~patient(X)&humble(X))))&
(((calm(paul)&~patient(paul)))=>(?[X]:((strong(X)&tall(X)))))&
(![X]:((quiet(X)|~strong(X))=>(tall(X)&calm(X))))&
(((~rich(... | old(fred) | [] | null | 0 |
If paul is brave or happy then someone is not happy or curious and vice versa. Everyone who is both patient and not humble is both tall and kind. If someone is not creative then john is not quiet or not happy. If lucy is either humble or kind then john is either brave or not happy. If alice is either creative or genero... | Susan is kind. | entailment | (((brave(paul)|happy(paul)))<=>(?[X]:((~happy(X)|curious(X)))))&
(![X]:((patient(X)&~humble(X))=>(tall(X)&kind(X))))&
((?[X]:(~creative(X)))=>((~quiet(john)|~happy(john))))&
(((humble(lucy)<~>kind(lucy)))=>((brave(john)<~>~happy(john))))&
(((creative(alice)<~>generous(alice)))=>((tall(john)<~>strong(john))))&
(![X]:((t... | kind(susan) | [
"p2",
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6611756378478550554963555
% SZS output start Proof for 6611756378478550554963555
3. ? [X0] : ~creative(X0) => (~happy(john) | ~quiet(john)) [input p2]
9. ! [X0] : ((old(X0) & ~kind(X0)) <=> (creative(X0) <~> ~generous(X0))) [input p8]
11. ! [X0] : ((~strong(X0) & ~creative(X0)) <=> (gener... | 0 |
Everyone who is quiet is not patient.
Everyone who is either wise or calm is kind.
Everyone who is funny is not humble or kind.
If mary is not patient or calm then paul is both not tall and tall.
Everyone who is either not old or rich is humble or not quiet and vice versa.
If someone is not quiet then someone is genero... | Mary is rich. | neutral | (![X]:(quiet(X)=>~patient(X)))&
(![X]:((wise(X)<~>calm(X))=>kind(X)))&
(![X]:(funny(X)=>(~humble(X)|kind(X))))&
(((~patient(mary)|calm(mary)))=>((~tall(paul)&tall(paul))))&
(![X]:((~old(X)<~>rich(X))<=>(humble(X)|~quiet(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)|creative(X)))))&
((?[X]:((~creative(X)&~old(X))))=>... | rich(mary) | [] | null | 0 |
Everyone who is either rich or humble is funny or patient and vice versa.
Everyone who is both patient and not generous is either funny or brave.
If fred is either not rich or not generous then someone is patient or not quiet and vice versa.
If someone is either not calm or patient then someone is not tall and vice ver... | Fred is wise. | contradiction | (![X]:((rich(X)<~>humble(X))<=>(funny(X)|patient(X))))&
(![X]:((patient(X)&~generous(X))=>(funny(X)<~>brave(X))))&
(((~rich(fred)<~>~generous(fred)))<=>(?[X]:((patient(X)|~quiet(X)))))&
((?[X]:((~calm(X)<~>patient(X))))<=>(?[X]:(~tall(X))))&
(((wise(susan)&~strong(susan)))<=>((generous(susan)|~rich(susan))))&
(![X]:((h... | wise(fred) | [
"p5",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4670656304302681855792546
% SZS output start Proof for 4670656304302681855792546
6. ! [X0] : ((~patient(X0) & humble(X0)) <=> (wise(X0) | ~brave(X0))) [input p5]
13. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (patient(X0) <~> wise(X0))) [input p12]
16. ! [X0] : (patient(X0) <=> (kind(X0) | ~... | 0 |
Everyone who is either not creative or brave is not old.
If fred is not strong then john is not brave and vice versa.
Everyone who is not patient is both tall and not happy and vice versa.
If mary is wise or not quiet then paul is either not calm or brave and vice versa.
Everyone who is generous or not strong is both n... | John is not kind. | contradiction | (![X]:((~creative(X)<~>brave(X))=>~old(X)))&
((~strong(fred))<=>(~brave(john)))&
(![X]:(~patient(X)<=>(tall(X)&~happy(X))))&
(((wise(mary)|~quiet(mary)))<=>((~calm(paul)<~>brave(paul))))&
(![X]:((generous(X)|~strong(X))<=>(~quiet(X)&kind(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~... | ~kind(john) | [
"p2",
"p5",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8030127142189275699396588
% SZS output start Proof for 8030127142189275699396588
3. ! [X0] : (~patient(X0) <=> (~happy(X0) & tall(X0))) [input p2]
6. ! [X0] : ((tall(X0) <~> ~funny(X0)) <=> (~funny(X0) & ~patient(X0))) [input p5]
11. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> ~calm(X0)) [... | 0 |
Everyone who is happy or not kind is either quiet or not kind and vice versa.
Everyone who is old or not tall is generous or not curious and vice versa.
If someone is both not tall and not creative then susan is not creative or generous.
If someone is either curious or happy then someone is not old.
If someone is eithe... | Lucy is not generous. | entailment | (![X]:((happy(X)|~kind(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:((old(X)|~tall(X))<=>(generous(X)|~curious(X))))&
((?[X]:((~tall(X)&~creative(X))))=>((~creative(susan)|generous(susan))))&
((?[X]:((curious(X)<~>happy(X))))=>(?[X]:(~old(X))))&
((?[X]:((~happy(X)<~>curious(X))))=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:((~wise(X)... | ~generous(lucy) | [
"p1",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5113078653603386283114379
% SZS output start Proof for 5113078653603386283114379
2. ! [X0] : ((~tall(X0) | old(X0)) <=> (~curious(X0) | generous(X0))) [input p1]
13. ! [X0] : (~strong(X0) <=> (~generous(X0) | ~old(X0))) [input p12]
17. tall(lucy) & ~strong(lucy) [input p16]
25. generous(l... | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Fred is not kind. | entailment | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | ~kind(fred) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 102909014927404495220466
% SZS output start Proof for 102909014927404495220466
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
7. ! [X0] : (kind(X0) <=> brave(X0)) [input p6]
16. ! [X0] : ((~humble(X0) | kind(X0)) => (~patient(X0) & ~calm(X0))) [input p15]
23. kind(fred) ... | 0 |
Everyone who is either not tall or not happy is not old or calm and vice versa.
Everyone who is humble is both happy and brave and vice versa.
If john is either not wise or not quiet then john is rich and vice versa.
If mary is not patient or not calm then someone is either quiet or humble and vice versa.
Everyone who ... | Paul is kind. | neutral | (![X]:((~tall(X)<~>~happy(X))<=>(~old(X)|calm(X))))&
(![X]:(humble(X)<=>(happy(X)&brave(X))))&
(((~wise(john)<~>~quiet(john)))<=>(rich(john)))&
(((~patient(mary)|~calm(mary)))<=>(?[X]:((quiet(X)<~>humble(X)))))&
(![X]:((funny(X)|tall(X))<=>(~old(X)|funny(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((creative(X)<~>o... | kind(paul) | [] | null | 0 |
If susan is not calm then someone is either generous or not calm.
Everyone who is either wise or not old is either not wise or strong and vice versa.
If paul is humble then mary is not wise or not old.
Everyone who is not brave is curious or wise.
Everyone who is not brave or kind is quiet and vice versa.
If fred is fu... | Mary is brave. | neutral | ((~calm(susan))=>(?[X]:((generous(X)<~>~calm(X)))))&
(![X]:((wise(X)<~>~old(X))<=>(~wise(X)<~>strong(X))))&
((humble(paul))=>((~wise(mary)|~old(mary))))&
(![X]:(~brave(X)=>(curious(X)|wise(X))))&
(![X]:((~brave(X)|kind(X))<=>quiet(X)))&
(((funny(fred)|~humble(fred)))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~calm(X)|ha... | brave(mary) | [] | null | 0 |
Everyone who is either patient or not happy is kind or not humble.
If someone is not wise then fred is either tall or generous.
If fred is either not generous or creative then someone is not quiet and vice versa.
Everyone who is quiet or not strong is both not creative and not rich and vice versa.
If someone is happy o... | Mary is not old. | entailment | (![X]:((patient(X)<~>~happy(X))=>(kind(X)|~humble(X))))&
((?[X]:(~wise(X)))=>((tall(fred)<~>generous(fred))))&
(((~generous(fred)<~>creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((quiet(X)|~strong(X))<=>(~creative(X)&~rich(X))))&
((?[X]:((happy(X)|~strong(X))))=>((strong(susan)|~generous(susan))))&
((?[X]:(humble(X)))<... | ~old(mary) | [
"p13",
"p16",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3137233303107408856479869
% SZS output start Proof for 3137233303107408856479869
14. (~old(mary) <~> ~quiet(mary)) <=> ? [X0] : (patient(X0) <~> ~quiet(X0)) [input p13]
17. patient(mary) <~> quiet(mary) [input p16]
19. ? [X0] : (~quiet(X0) <~> patient(X0)) [input p18]
23. ~patient(mary) [... | 0 |
If lucy is both old and not happy then someone is not tall. Everyone who is not creative or not brave is both tall and curious and vice versa. Everyone who is both funny and not patient is either rich or not calm and vice versa. If someone is not generous or funny then someone is funny and vice versa. Everyone who is e... | Paul is calm. | contradiction | (((old(lucy)&~happy(lucy)))=>(?[X]:(~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((~generous(X)|funny(X))))<=>(?[X]:(funny(X))))&
(![X]:((~old(X)<~>~calm(X))<=>(~strong(X)|strong(X))))&
(![X]:((curious(X)&tall(X))=>(~patient(X)&cre... | calm(paul) | [
"p2",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2811554631902548067951568
% SZS output start Proof for 2811554631902548067951568
3. ! [X0] : ((~patient(X0) & funny(X0)) <=> (rich(X0) <~> ~calm(X0))) [input p2]
8. ! [X0] : ((~patient(X0) <~> ~rich(X0)) => (calm(X0) & quiet(X0))) [input p7]
11. ! [X0] : ((strong(X0) & patient(X0)) <=> st... | 0 |
Everyone who is either not kind or not creative is not kind.
Everyone who is either not quiet or not curious is both not funny and humble.
If someone is wise or not generous then lucy is both not curious and humble.
Everyone who is not tall is not generous or not calm.
Everyone who is both kind and not strong is not st... | Fred is funny. | neutral | (![X]:((~kind(X)<~>~creative(X))=>~kind(X)))&
(![X]:((~quiet(X)<~>~curious(X))=>(~funny(X)&humble(X))))&
((?[X]:((wise(X)|~generous(X))))=>((~curious(lucy)&humble(lucy))))&
(![X]:(~tall(X)=>(~generous(X)|~calm(X))))&
(![X]:((kind(X)&~strong(X))<=>~strong(X)))&
(![X]:((~calm(X)&wise(X))<=>~happy(X)))&
(![X]:((~happy(X)<... | funny(fred) | [] | null | 0 |
If mary is creative or not curious then someone is both not brave and creative.
If lucy is either humble or old then fred is not brave.
If someone is not kind then john is both wise and old.
Everyone who is not quiet or strong is quiet or not creative and vice versa.
Everyone who is not humble is strong and vice versa.... | Paul is not quiet. | entailment | (((creative(mary)|~curious(mary)))=>(?[X]:((~brave(X)&creative(X)))))&
(((humble(lucy)<~>old(lucy)))=>(~brave(fred)))&
((?[X]:(~kind(X)))=>((wise(john)&old(john))))&
(![X]:((~quiet(X)|strong(X))<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)<=>strong(X)))&
(![X]:((~strong(X)|old(X))<=>~kind(X)))&
(![X]:((~patient(X)|~b... | ~quiet(paul) | [
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1142182141776540115318737
% SZS output start Proof for 1142182141776540115318737
12. ! [X0] : ((~funny(X0) | ~old(X0)) => (~quiet(X0) & ~humble(X0))) [input p11]
24. ~old(paul) [input p23]
25. quiet(paul) [input hypothesis]
31. ! [X0] : ((~quiet(X0) & ~humble(X0)) | (funny(X0) & old(X0)))... | 0 |
If someone is either curious or not tall then mary is either old or curious and vice versa.
Everyone who is either not patient or curious is not curious or humble and vice versa.
If someone is not old or not brave then someone is not creative or not rich.
If john is not rich or quiet then fred is both humble and not cr... | Fred is old. | contradiction | ((?[X]:((curious(X)<~>~tall(X))))<=>((old(mary)<~>curious(mary))))&
(![X]:((~patient(X)<~>curious(X))<=>(~curious(X)|humble(X))))&
((?[X]:((~old(X)|~brave(X))))=>(?[X]:((~creative(X)|~rich(X)))))&
(((~rich(john)|quiet(john)))=>((humble(fred)&~creative(fred))))&
(![X]:((~creative(X)|~funny(X))=>~generous(X)))&
(((~brave... | old(fred) | [
"p5",
"p6",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5856261991634232440841582
% SZS output start Proof for 5856261991634232440841582
6. (~brave(fred) <~> strong(fred)) <=> ? [X0] : wise(X0) [input p5]
7. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (~old(X0) <~> strong(X0))) [input p6]
20. ~brave(fred) [input p19]
21. ? [X0] : (calm(X0) & w... | 0 |
If someone is generous or not kind then mary is either not curious or not patient and vice versa. Everyone who is either not brave or not patient is both wise and not strong and vice versa. If someone is brave then someone is both wise and not brave and vice versa. Everyone who is not patient is both not old and tall a... | Mary is not wise. | neutral | ((?[X]:((generous(X)|~kind(X))))<=>((~curious(mary)<~>~patient(mary))))&
(![X]:((~brave(X)<~>~patient(X))<=>(wise(X)&~strong(X))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~patient(X)<=>(~old(X)&tall(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~old(X)|~wise(X))))&
(((generous(john)&strong(john)))<=>(?[X]:... | ~wise(mary) | [] | null | 0 |
If someone is not old or creative then someone is either not rich or not humble.
Everyone who is wise or humble is calm.
Everyone who is not curious or rich is not strong or not brave.
If john is both calm and not strong then someone is both not humble and quiet.
Everyone who is either not kind or funny is not quiet or... | Lucy is kind. | contradiction | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((wise(X)|humble(X))=>calm(X)))&
(![X]:((~curious(X)|rich(X))=>(~strong(X)|~brave(X))))&
(((calm(john)&~strong(john)))=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~kind(X)<~>funny(X))=>(~quiet(X)|~old(X))))&
(![X]:((patient(X)|funny(X))=>~strong(X)... | kind(lucy) | [
"p6",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8633095683531833201336792
% SZS output start Proof for 8633095683531833201336792
7. ! [X0] : ((old(X0) <~> patient(X0)) => (~happy(X0) & ~rich(X0))) [input p6]
12. ! [X0] : ((~rich(X0) | patient(X0)) <=> ~humble(X0)) [input p11]
17. old(lucy) [input p16]
19. kind(lucy) <~> ~humble(lucy) [... | 0 |
Everyone who is either not calm or not creative is not brave or not creative and vice versa. If alice is not kind then someone is either not kind or old. If someone is not patient then lucy is both wise and not quiet. Everyone who is not strong is not old and vice versa. If susan is funny then someone is not calm. If m... | Lucy is not quiet. | entailment | (![X]:((~calm(X)<~>~creative(X))<=>(~brave(X)|~creative(X))))&
((~kind(alice))=>(?[X]:((~kind(X)<~>old(X)))))&
((?[X]:(~patient(X)))=>((wise(lucy)&~quiet(lucy))))&
(![X]:(~strong(X)<=>~old(X)))&
((funny(susan))=>(?[X]:(~calm(X))))&
((~funny(mary))<=>((quiet(mary)<~>humble(mary))))&
(![X]:(patient(X)=>(~happy(X)&~tall(X... | ~quiet(lucy) | [
"p0",
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8957832594969352718564830
% SZS output start Proof for 8957832594969352718564830
1. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (~creative(X0) | ~brave(X0))) [input p0]
3. ? [X0] : ~patient(X0) => (~quiet(lucy) & wise(lucy)) [input p2]
16. ? [X0] : (~brave(X0) <~> calm(X0)) => ? [X0] : ~p... | 0 |
If someone is either not curious or brave then someone is both generous and not rich.
Everyone who is not humble is both not funny and not strong.
If someone is either tall or not patient then someone is not wise or strong and vice versa.
Everyone who is not quiet is either not creative or not curious and vice versa.
E... | Susan is funny. | entailment | ((?[X]:((~curious(X)<~>brave(X))))=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:(~humble(X)=>(~funny(X)&~strong(X))))&
((?[X]:((tall(X)<~>~patient(X))))<=>(?[X]:((~wise(X)|strong(X)))))&
(![X]:(~quiet(X)<=>(~creative(X)<~>~curious(X))))&
(![X]:(funny(X)=>(~tall(X)<~>patient(X))))&
(((humble(paul)<~>~tall(paul)))=>(strong(p... | funny(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7508482389899316110656212
% SZS output start Proof for 7508482389899316110656212
13. ! [X0] : ((funny(X0) & wise(X0)) <=> (~funny(X0) | ~creative(X0))) [input p12]
25. ~funny(susan) [input hypothesis]
61. ! [X0] : (((funny(X0) & wise(X0)) | (funny(X0) & creative(X0))) & ((~funny(X0) | ~cr... | 0 |
If alice is both not funny and not old then someone is either humble or not quiet.
Everyone who is either rich or not generous is not rich or happy and vice versa.
If someone is both brave and not funny then alice is creative and vice versa.
Everyone who is either kind or wise is old.
Everyone who is wise is not wise o... | Mary is not calm. | neutral | (((~funny(alice)&~old(alice)))=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:((rich(X)<~>~generous(X))<=>(~rich(X)|happy(X))))&
((?[X]:((brave(X)&~funny(X))))<=>(creative(alice)))&
(![X]:((kind(X)<~>wise(X))=>old(X)))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>old(susan))))&
((?... | ~calm(mary) | [] | null | 0 |
Everyone who is both not old and not strong is either humble or happy and vice versa.
Everyone who is both not wise and not generous is not brave and vice versa.
If paul is both tall and not humble then fred is creative.
If someone is both not happy and not humble then lucy is either not wise or strong and vice versa.
... | Susan is not creative. | neutral | (![X]:((~old(X)&~strong(X))<=>(humble(X)<~>happy(X))))&
(![X]:((~wise(X)&~generous(X))<=>~brave(X)))&
(((tall(paul)&~humble(paul)))=>(creative(fred)))&
((?[X]:((~happy(X)&~humble(X))))<=>((~wise(lucy)<~>strong(lucy))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:((~wise(X)|~strong(X)))))&
(((tall(mary)&humble(mary)))<=>(?[X]... | ~creative(susan) | [] | null | 0 |
Everyone who is curious or wise is not wise or not strong. Everyone who is happy is either strong or patient. Everyone who is not brave is not humble and vice versa. Everyone who is wise is both patient and funny and vice versa. Everyone who is either funny or old is not generous and vice versa. Everyone who is both no... | John is not humble. | contradiction | (![X]:((curious(X)|wise(X))=>(~wise(X)|~strong(X))))&
(![X]:(happy(X)=>(strong(X)<~>patient(X))))&
(![X]:(~brave(X)<=>~humble(X)))&
(![X]:(wise(X)<=>(patient(X)&funny(X))))&
(![X]:((funny(X)<~>old(X))<=>~generous(X)))&
(![X]:((~creative(X)&~wise(X))<=>old(X)))&
(![X]:(~kind(X)=>(~patient(X)&~quiet(X))))&
(![X]:((~brave... | ~humble(john) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 510524609500469866712621
% SZS output start Proof for 510524609500469866712621
3. ! [X0] : (~brave(X0) <=> ~humble(X0)) [input p2]
6. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> old(X0)) [input p5]
7. ! [X0] : (~kind(X0) => (~quiet(X0) & ~patient(X0))) [input p6]
8. ! [X0] : ((~happy(X0) | ... | 0 |
Everyone who is not quiet or humble is not humble and vice versa.
If someone is strong then someone is both not old and not wise.
Everyone who is not wise is both kind and not funny and vice versa.
Everyone who is either tall or not strong is not humble and vice versa.
If someone is both patient and not strong then som... | Mary is not tall. | contradiction | (![X]:((~quiet(X)|humble(X))<=>~humble(X)))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:(~wise(X)<=>(kind(X)&~funny(X))))&
(![X]:((tall(X)<~>~strong(X))<=>~humble(X)))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy))... | ~tall(mary) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7783493122594995968913438
% SZS output start Proof for 7783493122594995968913438
9. ? [X0] : ~tall(X0) => ~rich(alice) [input p8]
11. ! [X0] : ((~rich(X0) | ~brave(X0)) => (rich(X0) & ~curious(X0))) [input p10]
19. ~tall(mary) [input hypothesis]
29. ~rich(alice) | ! [X0] : tall(X0) [ennf ... | 0 |
Everyone who is either not calm or not patient is both brave and not calm and vice versa. Everyone who is both not patient and funny is not rich. Everyone who is both not brave and quiet is either not happy or not wise. If mary is old then mary is not strong or creative. If lucy is either not quiet or quiet then paul i... | Susan is patient. | entailment | (![X]:((~calm(X)<~>~patient(X))<=>(brave(X)&~calm(X))))&
(![X]:((~patient(X)&funny(X))=>~rich(X)))&
(![X]:((~brave(X)&quiet(X))=>(~happy(X)<~>~wise(X))))&
((old(mary))=>((~strong(mary)|creative(mary))))&
(((~quiet(lucy)<~>quiet(lucy)))=>(~strong(paul)))&
(![X]:((patient(X)&tall(X))=>(~kind(X)|tall(X))))&
((funny(paul))... | patient(susan) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6683651748243164516487831
% SZS output start Proof for 6683651748243164516487831
1. ! [X0] : ((~calm(X0) <~> ~patient(X0)) <=> (~calm(X0) & brave(X0))) [input p0]
23. calm(susan) [input p22]
25. ~patient(susan) [input hypothesis]
40. ! [X0] : ((((patient(X0) | calm(X0)) & (~patient(X0) | ... | 0 |
Everyone who is both curious and old is brave or not brave.
Everyone who is either not generous or not calm is either curious or humble and vice versa.
If someone is either not wise or humble then alice is not brave.
Everyone who is either not patient or not humble is patient and vice versa.
Everyone who is either humb... | Alice is brave. | contradiction | (![X]:((curious(X)&old(X))=>(brave(X)|~brave(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(curious(X)<~>humble(X))))&
((?[X]:((~wise(X)<~>humble(X))))=>(~brave(alice)))&
(![X]:((~patient(X)<~>~humble(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))<=>(curious(X)&brave(X))))&
((?[X]:((brave(X)&patient(X))))<=>((creative(f... | brave(alice) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5833731055850582180942265
% SZS output start Proof for 5833731055850582180942265
2. ! [X0] : ((~generous(X0) <~> ~calm(X0)) <=> (curious(X0) <~> humble(X0))) [input p1]
3. ? [X0] : (~wise(X0) <~> humble(X0)) => ~brave(alice) [input p2]
4. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> patie... | 0 |
Everyone who is happy is both not happy and not calm and vice versa. If alice is either not happy or patient then john is old. If susan is either tall or creative then someone is curious. Everyone who is rich is calm and vice versa. If someone is not wise then fred is either creative or not brave. Everyone who is eithe... | Lucy is kind. | neutral | (![X]:(happy(X)<=>(~happy(X)&~calm(X))))&
(((~happy(alice)<~>patient(alice)))=>(old(john)))&
(((tall(susan)<~>creative(susan)))=>(?[X]:(curious(X))))&
(![X]:(rich(X)<=>calm(X)))&
((?[X]:(~wise(X)))=>((creative(fred)<~>~brave(fred))))&
(![X]:((funny(X)<~>~wise(X))=>(calm(X)|funny(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~w... | kind(lucy) | [] | null | 0 |
If alice is not wise then someone is both curious and not happy and vice versa.
Everyone who is not curious or happy is quiet or not funny and vice versa.
If paul is funny then susan is either not humble or funny and vice versa.
If someone is rich then someone is not tall and vice versa.
Everyone who is tall is both ca... | Paul is old. | entailment | ((~wise(alice))<=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((~curious(X)|happy(X))<=>(quiet(X)|~funny(X))))&
((funny(paul))<=>((~humble(susan)<~>funny(susan))))&
((?[X]:(rich(X)))<=>(?[X]:(~tall(X))))&
(![X]:(tall(X)<=>(calm(X)&~humble(X))))&
((?[X]:((~brave(X)&curious(X))))=>(tall(paul)))&
(![X]:(~quiet(X)<=>(~brave(X)... | old(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 173909248415647162697197
% SZS output start Proof for 173909248415647162697197
14. ! [X0] : ((old(X0) & ~creative(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p13]
24. ~old(paul) [input hypothesis]
61. ! [X0] : (((old(X0) & ~creative(X0)) | ((curious(X0) | curious(X0)) & (~curious(X0) ... | 0 |
Everyone who is not happy is both not generous and wise.
Everyone who is not quiet is not old and vice versa.
Everyone who is calm or quiet is not patient and vice versa.
Everyone who is not calm or not strong is either strong or not humble.
If lucy is either not quiet or curious then someone is either creative or not ... | Susan is generous. | neutral | (![X]:(~happy(X)=>(~generous(X)&wise(X))))&
(![X]:(~quiet(X)<=>~old(X)))&
(![X]:((calm(X)|quiet(X))<=>~patient(X)))&
(![X]:((~calm(X)|~strong(X))=>(strong(X)<~>~humble(X))))&
(((~quiet(lucy)<~>curious(lucy)))=>(?[X]:((creative(X)<~>~rich(X)))))&
(![X]:((old(X)<~>funny(X))=>(tall(X)&funny(X))))&
((?[X]:((~calm(X)<~>old(... | generous(susan) | [] | null | 0 |
Everyone who is both wise and not funny is either not creative or not old. If someone is not rich or happy then alice is both kind and not patient and vice versa. If someone is either not funny or wise then john is happy or not rich and vice versa. If someone is old then someone is both not rich and not old. Everyone w... | John is quiet. | contradiction | (![X]:((wise(X)&~funny(X))=>(~creative(X)<~>~old(X))))&
((?[X]:((~rich(X)|happy(X))))<=>((kind(alice)&~patient(alice))))&
((?[X]:((~funny(X)<~>wise(X))))<=>((happy(john)|~rich(john))))&
((?[X]:(old(X)))=>(?[X]:((~rich(X)&~old(X)))))&
(![X]:((generous(X)|~humble(X))=>(~kind(X)<~>patient(X))))&
((?[X]:((rich(X)&~happy(X)... | quiet(john) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5889618530534228548929883
% SZS output start Proof for 5889618530534228548929883
2. ? [X0] : (happy(X0) | ~rich(X0)) <=> (~patient(alice) & kind(alice)) [input p1]
4. ? [X0] : old(X0) => ? [X0] : (~old(X0) & ~rich(X0)) [input p3]
7. ! [X0] : ((generous(X0) | ~rich(X0)) => (~generous(X0) &... | 0 |
If alice is not old then john is humble or not brave.
Everyone who is either not tall or generous is happy.
If alice is either not old or tall then alice is either not creative or not calm.
Everyone who is wise or strong is not quiet or quiet.
If someone is wise or brave then alice is either not curious or funny.
Every... | Alice is happy. | entailment | ((~old(alice))=>((humble(john)|~brave(john))))&
(![X]:((~tall(X)<~>generous(X))=>happy(X)))&
(((~old(alice)<~>tall(alice)))=>((~creative(alice)<~>~calm(alice))))&
(![X]:((wise(X)|strong(X))=>(~quiet(X)|quiet(X))))&
((?[X]:((wise(X)|brave(X))))=>((~curious(alice)<~>funny(alice))))&
(![X]:((~brave(X)&~curious(X))<=>(~cur... | happy(alice) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8011164176499943311459509
% SZS output start Proof for 8011164176499943311459509
9. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (calm(X0) | ~happy(X0))) [input p8]
17. strong(alice) [input p16]
24. ~happy(alice) [input hypothesis]
52. ! [X0] : (((~strong(X0) & ~tall(X0)) | (~calm(X0) & happy(... | 0 |
Everyone who is not wise or curious is kind.
Everyone who is not humble or curious is generous.
Everyone who is not quiet is not strong and vice versa.
Everyone who is not happy is both not kind and not calm and vice versa.
If john is not curious or not humble then someone is both calm and not quiet.
Everyone who is no... | Susan is generous. | entailment | (![X]:((~wise(X)|curious(X))=>kind(X)))&
(![X]:((~humble(X)|curious(X))=>generous(X)))&
(![X]:(~quiet(X)<=>~strong(X)))&
(![X]:(~happy(X)<=>(~kind(X)&~calm(X))))&
(((~curious(john)|~humble(john)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~calm(X)|funny(X))<=>~funny(X)))&
(((~creative(paul)|funny(paul)))=>(?[X]:((~calm(X... | generous(susan) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4291675761470321854561945
% SZS output start Proof for 4291675761470321854561945
2. ! [X0] : ((curious(X0) | ~humble(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((old(X0) | ~calm(X0)) => (~patient(X0) <~> tall(X0))) [input p... | 0 |
Everyone who is rich is creative.
If someone is either not rich or quiet then paul is patient.
If mary is either not generous or not creative then john is both rich and funny.
If alice is not funny or not rich then someone is both not happy and not tall.
If someone is either not strong or not curious then someone is bo... | Mary is strong. | contradiction | (![X]:(rich(X)=>creative(X)))&
((?[X]:((~rich(X)<~>quiet(X))))=>(patient(paul)))&
(((~generous(mary)<~>~creative(mary)))=>((rich(john)&funny(john))))&
(((~funny(alice)|~rich(alice)))=>(?[X]:((~happy(X)&~tall(X)))))&
((?[X]:((~strong(X)<~>~curious(X))))<=>(?[X]:((~quiet(X)&~old(X)))))&
(((calm(lucy)<~>humble(lucy)))=>(?... | strong(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6262376717585822044902363
% SZS output start Proof for 6262376717585822044902363
14. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> (strong(X0) | ~brave(X0))) [input p13]
25. strong(mary) [input hypothesis]
63. ! [X0] : (((~rich(X0) & ~strong(X0)) | (~strong(X0) & brave(X0))) & ((strong(X0) | ~b... | 0 |
If paul is either old or calm then someone is not patient or not kind and vice versa.
If someone is both old and not generous then someone is generous or tall.
If lucy is humble then someone is generous or not curious and vice versa.
Everyone who is rich or humble is strong and vice versa.
Everyone who is not happy is ... | Alice is not strong. | contradiction | (((old(paul)<~>calm(paul)))<=>(?[X]:((~patient(X)|~kind(X)))))&
((?[X]:((old(X)&~generous(X))))=>(?[X]:((generous(X)|tall(X)))))&
((humble(lucy))<=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((rich(X)|humble(X))<=>strong(X)))&
(![X]:(~happy(X)=>(funny(X)&~quiet(X))))&
(((~creative(mary)<~>brave(mary)))<=>(?[X]:((rich(X... | ~strong(alice) | [
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1894348297691863740459127
% SZS output start Proof for 1894348297691863740459127
4. ! [X0] : ((humble(X0) | rich(X0)) <=> strong(X0)) [input p3]
14. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~old(X0) & tall(X0))) [input p13]
15. ! [X0] : ((generous(X0) | tall(X0)) => (rich(X0) & ~generou... | 0 |
Everyone who is either tall or quiet is both not tall and not funny and vice versa.
If someone is both not wise and not strong then paul is not humble or old.
If susan is either humble or not brave then paul is kind or tall and vice versa.
Everyone who is either not brave or tall is not happy or not tall.
Everyone who ... | John is curious. | entailment | (![X]:((tall(X)<~>quiet(X))<=>(~tall(X)&~funny(X))))&
((?[X]:((~wise(X)&~strong(X))))=>((~humble(paul)|old(paul))))&
(((humble(susan)<~>~brave(susan)))<=>((kind(paul)|tall(paul))))&
(![X]:((~brave(X)<~>tall(X))=>(~happy(X)|~tall(X))))&
(![X]:((patient(X)|rich(X))=>(~brave(X)<~>~rich(X))))&
(![X]:((~rich(X)|generous(X))... | curious(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7560475720444179569442476
% SZS output start Proof for 7560475720444179569442476
20. curious(john) & kind(john) [input p19]
24. ~curious(john) [input hypothesis]
129. curious(john) [cnf transformation 20]
135. ~curious(john) [cnf transformation 24]
213. 14 <=> curious(john) [avatar defini... | 0 |
If alice is not generous or kind then fred is either not quiet or creative. If mary is both not generous and wise then someone is either not kind or not calm. Everyone who is not patient or not generous is not brave or creative and vice versa. Everyone who is brave or calm is both quiet and old and vice versa. Everyone... | John is not curious. | contradiction | (((~generous(alice)|kind(alice)))=>((~quiet(fred)<~>creative(fred))))&
(((~generous(mary)&wise(mary)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:((~patient(X)|~generous(X))<=>(~brave(X)|creative(X))))&
(![X]:((brave(X)|calm(X))<=>(quiet(X)&old(X))))&
(![X]:((kind(X)&rich(X))=>(tall(X)<~>~creative(X))))&
(![X]:((strong(X)... | ~curious(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7273709313443614752629116
% SZS output start Proof for 7273709313443614752629116
24. curious(john) [input p23]
25. ~curious(john) [input hypothesis]
109. curious(john) [cnf transformation 24]
110. ~curious(john) [cnf transformation 25]
229. $false [subsumption resolution 110,109]
% SZS ou... | 0 |
Everyone who is not rich or not generous is not happy or not old.
If paul is both brave and not kind then paul is not kind.
Everyone who is both not generous and funny is generous or not brave and vice versa.
If someone is not old or tall then someone is both not kind and not humble.
Everyone who is both calm and not c... | Paul is happy. | contradiction | (![X]:((~rich(X)|~generous(X))=>(~happy(X)|~old(X))))&
(((brave(paul)&~kind(paul)))=>(~kind(paul)))&
(![X]:((~generous(X)&funny(X))<=>(generous(X)|~brave(X))))&
((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&~humble(X)))))&
(![X]:((calm(X)&~calm(X))<=>(~funny(X)|~old(X))))&
(((~rich(john)<~>~quiet(john)))<=>(?[X]:((calm... | happy(paul) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 65854088426220735508050
% SZS output start Proof for 65854088426220735508050
1. ! [X0] : ((~generous(X0) | ~rich(X0)) => (~old(X0) | ~happy(X0))) [input p0]
3. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (~brave(X0) | generous(X0))) [input p2]
5. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~old(X... | 0 |
Everyone who is either tall or quiet is either wise or not creative and vice versa.
Everyone who is either old or strong is strong and vice versa.
Everyone who is not curious or not creative is patient or not generous and vice versa.
Everyone who is rich or patient is not funny.
Everyone who is both not wise and not ge... | Mary is not quiet. | neutral | (![X]:((tall(X)<~>quiet(X))<=>(wise(X)<~>~creative(X))))&
(![X]:((old(X)<~>strong(X))<=>strong(X)))&
(![X]:((~curious(X)|~creative(X))<=>(patient(X)|~generous(X))))&
(![X]:((rich(X)|patient(X))=>~funny(X)))&
(![X]:((~wise(X)&~generous(X))<=>funny(X)))&
(![X]:((~rich(X)<~>humble(X))=>(~tall(X)&quiet(X))))&
((?[X]:((crea... | ~quiet(mary) | [] | null | 0 |
Everyone who is wise is both funny and not quiet and vice versa.
Everyone who is old or kind is humble or generous and vice versa.
Everyone who is either not wise or not patient is both not happy and wise and vice versa.
Everyone who is both rich and creative is either not humble or brave and vice versa.
Everyone who i... | John is tall. | entailment | (![X]:(wise(X)<=>(funny(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))<=>(humble(X)|generous(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((rich(X)&creative(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)|quiet(X))=>(~humble(X)|~wise(X))))&
(![X]:((quiet(X)&old(X))=>(rich(X)|curious(X))))&
(![X... | tall(john) | [
"p1",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6743408512454199196946326
% SZS output start Proof for 6743408512454199196946326
2. ! [X0] : ((kind(X0) | old(X0)) <=> (generous(X0) | humble(X0))) [input p1]
9. ! [X0] : ((calm(X0) | wise(X0)) => (~old(X0) | brave(X0))) [input p8]
11. (~humble(john) & humble(john)) <=> ? [X0] : brave(X0)... | 0 |
Everyone who is either not funny or tall is both calm and not calm and vice versa.
Everyone who is either not humble or rich is wise or not tall.
Everyone who is not quiet is either quiet or strong.
Everyone who is either not wise or funny is generous and vice versa.
Everyone who is either not generous or brave is eith... | Lucy is not quiet. | contradiction | (![X]:((~funny(X)<~>tall(X))<=>(calm(X)&~calm(X))))&
(![X]:((~humble(X)<~>rich(X))=>(wise(X)|~tall(X))))&
(![X]:(~quiet(X)=>(quiet(X)<~>strong(X))))&
(![X]:((~wise(X)<~>funny(X))<=>generous(X)))&
(![X]:((~generous(X)<~>brave(X))=>(tall(X)<~>~kind(X))))&
((?[X]:((~old(X)|~wise(X))))=>((~patient(lucy)&~funny(lucy))))&
((... | ~quiet(lucy) | [
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 799108001346392964998512
% SZS output start Proof for 799108001346392964998512
14. ! [X0] : (wise(X0) <=> (~tall(X0) & ~humble(X0))) [input p13]
15. ? [X0] : (~quiet(X0) | creative(X0)) => (~calm(alice) & tall(alice)) [input p14]
22. ~strong(alice) & wise(alice) [input p21]
25. ~quiet(luc... | 0 |
Everyone who is not old or wise is both quiet and wise and vice versa. If alice is either not creative or quiet then someone is both tall and not humble. If fred is not generous or generous then someone is not curious or calm. If someone is both not happy and not brave then mary is funny. If someone is not rich or not ... | Paul is not tall. | contradiction | (![X]:((~old(X)|wise(X))<=>(quiet(X)&wise(X))))&
(((~creative(alice)<~>quiet(alice)))=>(?[X]:((tall(X)&~humble(X)))))&
(((~generous(fred)|generous(fred)))=>(?[X]:((~curious(X)|calm(X)))))&
((?[X]:((~happy(X)&~brave(X))))=>(funny(mary)))&
((?[X]:((~rich(X)|~tall(X))))<=>(~patient(susan)))&
(![X]:(~humble(X)=>(old(X)|kin... | ~tall(paul) | [
"p0",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8726318282922150152911426
% SZS output start Proof for 8726318282922150152911426
1. ! [X0] : ((wise(X0) | ~old(X0)) <=> (wise(X0) & quiet(X0))) [input p0]
9. ! [X0] : ((~tall(X0) | brave(X0)) <=> (curious(X0) & ~quiet(X0))) [input p8]
19. wise(paul) & ~calm(paul) [input p18]
23. ~tall(pau... | 0 |
Everyone who is both kind and happy is either generous or not rich.
Everyone who is both not patient and not curious is either not strong or generous.
If susan is not humble or calm then fred is either calm or not calm.
Everyone who is either quiet or funny is not brave or humble.
If someone is creative or brave then s... | Alice is not tall. | contradiction | (![X]:((kind(X)&happy(X))=>(generous(X)<~>~rich(X))))&
(![X]:((~patient(X)&~curious(X))=>(~strong(X)<~>generous(X))))&
(((~humble(susan)|calm(susan)))=>((calm(fred)<~>~calm(fred))))&
(![X]:((quiet(X)<~>funny(X))=>(~brave(X)|humble(X))))&
((?[X]:((creative(X)|brave(X))))=>(?[X]:((~rich(X)&kind(X)))))&
(((~brave(john)<~>... | ~tall(alice) | [
"p7",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 731091362865482513140400
% SZS output start Proof for 731091362865482513140400
8. ! [X0] : ((~tall(X0) & wise(X0)) <=> creative(X0)) [input p7]
12. ! [X0] : ((creative(X0) <~> ~calm(X0)) => (happy(X0) & ~happy(X0))) [input p11]
13. ! [X0] : ((calm(X0) & quiet(X0)) <=> (~calm(X0) | funny(X... | 0 |
Everyone who is patient is either calm or not strong.
Everyone who is not calm is either not strong or not brave.
Everyone who is both happy and funny is generous or creative and vice versa.
Everyone who is both happy and not strong is old or not calm and vice versa.
Everyone who is generous is not rich or not happy an... | Alice is happy. | entailment | (![X]:(patient(X)=>(calm(X)<~>~strong(X))))&
(![X]:(~calm(X)=>(~strong(X)<~>~brave(X))))&
(![X]:((happy(X)&funny(X))<=>(generous(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>(old(X)|~calm(X))))&
(![X]:(generous(X)<=>(~rich(X)|~happy(X))))&
(![X]:((curious(X)&old(X))=>(humble(X)&wise(X))))&
(![X]:((~quiet(X)|strong... | happy(alice) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2497738093285575348859890
% SZS output start Proof for 2497738093285575348859890
3. ! [X0] : ((funny(X0) & happy(X0)) <=> (creative(X0) | generous(X0))) [input p2]
5. ! [X0] : (generous(X0) <=> (~happy(X0) | ~rich(X0))) [input p4]
22. ~happy(alice) [input hypothesis]
38. ! [X0] : (((funny... | 0 |
Everyone who is not kind is either not patient or not wise.
Everyone who is both not curious and humble is either not humble or not generous and vice versa.
Everyone who is both humble and creative is not calm and vice versa.
Everyone who is patient is both not wise and not patient.
Everyone who is both wise and kind i... | Fred is patient. | contradiction | (![X]:(~kind(X)=>(~patient(X)<~>~wise(X))))&
(![X]:((~curious(X)&humble(X))<=>(~humble(X)<~>~generous(X))))&
(![X]:((humble(X)&creative(X))<=>~calm(X)))&
(![X]:(patient(X)=>(~wise(X)&~patient(X))))&
(![X]:((wise(X)&kind(X))<=>(generous(X)|~patient(X))))&
((?[X]:((~wise(X)&~calm(X))))=>(?[X]:((~old(X)&~happy(X)))))&
(![... | patient(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 9002900531588607905864569
% SZS output start Proof for 9002900531588607905864569
4. ! [X0] : (patient(X0) => (~patient(X0) & ~wise(X0))) [input p3]
23. patient(fred) [input hypothesis]
29. ! [X0] : ((~patient(X0) & ~wise(X0)) | ~patient(X0)) [ennf transformation 4]
74. ~patient(X0) | ~pat... | 0 |
If someone is both brave and generous then someone is either wise or brave.
Everyone who is not funny or not calm is humble or not funny and vice versa.
If someone is both tall and not rich then alice is not creative and vice versa.
If someone is both rich and creative then someone is either generous or not creative.
E... | Fred is kind. | entailment | ((?[X]:((brave(X)&generous(X))))=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~funny(X)|~calm(X))<=>(humble(X)|~funny(X))))&
((?[X]:((tall(X)&~rich(X))))<=>(~creative(alice)))&
((?[X]:((rich(X)&creative(X))))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(~old(X)<=>(wise(X)<~>~quiet(X))))&
(![X]:((~old(X)|~happy(X))=>~ric... | kind(fred) | [
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2971979832835151156971829
% SZS output start Proof for 2971979832835151156971829
6. ! [X0] : ((~happy(X0) | ~old(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : (kind(X0) <=> old(X0)) [input p6]
11. ! [X0] : ((~creative(X0) & rich(X0)) <=> ~kind(X0)) [input p10]
22. ~kind(fred) [input hypothesi... | 0 |
If john is not brave then mary is funny or not humble and vice versa.
Everyone who is both happy and curious is not old or not creative.
Everyone who is not quiet or not kind is both not quiet and not kind and vice versa.
Everyone who is not tall is calm or quiet.
Everyone who is kind is either not patient or not tall ... | Susan is not calm. | contradiction | ((~brave(john))<=>((funny(mary)|~humble(mary))))&
(![X]:((happy(X)&curious(X))=>(~old(X)|~creative(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(~quiet(X)&~kind(X))))&
(![X]:(~tall(X)=>(calm(X)|quiet(X))))&
(![X]:(kind(X)<=>(~patient(X)<~>~tall(X))))&
(![X]:(~creative(X)<=>(~funny(X)&funny(X))))&
(((~calm(paul)|~rich(paul)))<=... | ~calm(susan) | [
"p2",
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5325858936248182528223910
% SZS output start Proof for 5325858936248182528223910
3. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~kind(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (~tall(X0) => (quiet(X0) | calm(X0))) [input p3]
12. ! [X0] : ((~calm(X0) | funny(X0)) <=> (generous(X0) & ~tall(X0))... | 0 |
Everyone who is not funny or old is creative or not funny and vice versa.
Everyone who is both not humble and not wise is not curious or not brave.
Everyone who is happy or calm is not quiet.
Everyone who is not kind or not quiet is quiet and vice versa.
Everyone who is both not rich and strong is either not calm or no... | Lucy is rich. | contradiction | (![X]:((~funny(X)|old(X))<=>(creative(X)|~funny(X))))&
(![X]:((~humble(X)&~wise(X))=>(~curious(X)|~brave(X))))&
(![X]:((happy(X)|calm(X))=>~quiet(X)))&
(![X]:((~kind(X)|~quiet(X))<=>quiet(X)))&
(![X]:((~rich(X)&strong(X))<=>(~calm(X)<~>~patient(X))))&
(((patient(mary)|~old(mary)))=>((~curious(susan)|rich(susan))))&
(![... | rich(lucy) | [
"p2",
"p3",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7929827460639741885297186
% SZS output start Proof for 7929827460639741885297186
3. ! [X0] : ((calm(X0) | happy(X0)) => ~quiet(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> quiet(X0)) [input p3]
5. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (~calm(X0) <~> ~patient(X0))) [input p4]... | 0 |
Everyone who is either kind or not humble is either not patient or not generous and vice versa.
Everyone who is both strong and not patient is rich or calm.
If lucy is either not generous or old then paul is both generous and strong and vice versa.
Everyone who is either not curious or not quiet is either tall or brave... | Lucy is creative. | neutral | (![X]:((kind(X)<~>~humble(X))<=>(~patient(X)<~>~generous(X))))&
(![X]:((strong(X)&~patient(X))=>(rich(X)|calm(X))))&
(((~generous(lucy)<~>old(lucy)))<=>((generous(paul)&strong(paul))))&
(![X]:((~curious(X)<~>~quiet(X))<=>(tall(X)<~>brave(X))))&
(((~brave(mary)<~>~kind(mary)))=>((~quiet(mary)<~>strong(mary))))&
((?[X]:(... | creative(lucy) | [] | null | 0 |
Everyone who is either not brave or quiet is not creative.
Everyone who is either not creative or kind is not happy or not patient and vice versa.
If mary is not quiet then someone is both not creative and creative and vice versa.
Everyone who is creative or not funny is both strong and wise.
If susan is tall or genero... | Lucy is curious. | contradiction | (![X]:((~brave(X)<~>quiet(X))=>~creative(X)))&
(![X]:((~creative(X)<~>kind(X))<=>(~happy(X)|~patient(X))))&
((~quiet(mary))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((creative(X)|~funny(X))=>(strong(X)&wise(X))))&
(((tall(susan)|generous(susan)))=>(?[X]:(quiet(X))))&
(![X]:((funny(X)&~brave(X))=>patient(X)))&
(((h... | curious(lucy) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8506648820772428257480295
% SZS output start Proof for 8506648820772428257480295
10. ! [X0] : (patient(X0) => (~tall(X0) & tall(X0))) [input p9]
21. ~curious(lucy) | patient(lucy) [input p20]
25. curious(lucy) [input hypothesis]
34. ! [X0] : ((~tall(X0) & tall(X0)) | ~patient(X0)) [ennf t... | 0 |
Everyone who is either tall or not quiet is both not strong and kind.
Everyone who is either tall or not patient is not creative.
If paul is not creative then alice is not wise or wise and vice versa.
If someone is either not kind or curious then lucy is quiet and vice versa.
Everyone who is creative or not calm is eit... | Alice is old. | entailment | (![X]:((tall(X)<~>~quiet(X))=>(~strong(X)&kind(X))))&
(![X]:((tall(X)<~>~patient(X))=>~creative(X)))&
((~creative(paul))<=>((~wise(alice)|wise(alice))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(quiet(lucy)))&
(![X]:((creative(X)|~calm(X))<=>(tall(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>happy(X))<=>(~curious(X)<~>~tall(X)... | old(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 944564735277956914275083
% SZS output start Proof for 944564735277956914275083
13. ! [X0] : (old(X0) <=> (happy(X0) | ~happy(X0))) [input p12]
24. ~old(alice) [input hypothesis]
64. ! [X0] : ((old(X0) | (~happy(X0) & happy(X0))) & ((happy(X0) | ~happy(X0)) | ~old(X0))) [nnf transformation... | 0 |
Everyone who is either rich or patient is both not creative and quiet. If someone is either creative or funny then someone is not calm. Everyone who is either strong or rich is both not calm and creative and vice versa. If lucy is not funny then someone is both not strong and generous and vice versa. Everyone who is bo... | Lucy is generous. | contradiction | (![X]:((rich(X)<~>patient(X))=>(~creative(X)&quiet(X))))&
((?[X]:((creative(X)<~>funny(X))))=>(?[X]:(~calm(X))))&
(![X]:((strong(X)<~>rich(X))<=>(~calm(X)&creative(X))))&
((~funny(lucy))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((~rich(X)&~curious(X))<=>(calm(X)<~>quiet(X))))&
(((~brave(lucy)&tall(lucy)))=>(?[X]:((t... | generous(lucy) | [
"p3",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7352605542000644157672986
% SZS output start Proof for 7352605542000644157672986
4. ~funny(lucy) <=> ? [X0] : (generous(X0) & ~strong(X0)) [input p3]
11. ! [X0] : (strong(X0) <=> ~funny(X0)) [input p10]
13. ~old(alice) <=> funny(lucy) [input p12]
21. ~old(alice) [input p20]
25. generous(l... | 0 |
If someone is not funny then lucy is patient. If john is either not strong or not rich then someone is both calm and not calm and vice versa. Everyone who is both creative and wise is both calm and not creative and vice versa. Everyone who is not tall or not rich is not quiet or not rich and vice versa. If paul is eith... | John is not rich. | neutral | ((?[X]:(~funny(X)))=>(patient(lucy)))&
(((~strong(john)<~>~rich(john)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:((creative(X)&wise(X))<=>(calm(X)&~creative(X))))&
(![X]:((~tall(X)|~rich(X))<=>(~quiet(X)|~rich(X))))&
(((tall(paul)<~>generous(paul)))<=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:((~rich(X)&~humble(X))<=>(~humble... | ~rich(john) | [] | null | 0 |
If someone is both humble and happy then someone is either generous or not tall and vice versa.
If someone is both not happy and not curious then susan is either funny or not humble and vice versa.
If alice is either calm or not humble then paul is both not funny and not kind.
If mary is not wise then fred is happy or ... | Alice is not old. | contradiction | ((?[X]:((humble(X)&happy(X))))<=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((~happy(X)&~curious(X))))<=>((funny(susan)<~>~humble(susan))))&
(((calm(alice)<~>~humble(alice)))=>((~funny(paul)&~kind(paul))))&
((~wise(mary))<=>((happy(fred)|funny(fred))))&
((?[X]:((funny(X)<~>creative(X))))=>((creative(john)&quiet(john)))... | ~old(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2886412948139028311226232
% SZS output start Proof for 2886412948139028311226232
8. ! [X0] : (old(X0) <=> (~old(X0) | ~patient(X0))) [input p7]
24. ~old(alice) [input hypothesis]
58. ! [X0] : ((old(X0) | (old(X0) & patient(X0))) & ((~old(X0) | ~patient(X0)) | ~old(X0))) [nnf transformatio... | 0 |
If fred is brave then someone is both tall and not brave and vice versa. Everyone who is patient or calm is creative or kind and vice versa. If someone is not old or strong then someone is rich or quiet. If someone is both not strong and not brave then john is happy. If someone is not generous then lucy is either not g... | Lucy is not kind. | entailment | ((brave(fred))<=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((patient(X)|calm(X))<=>(creative(X)|kind(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>((~generous(lucy)<~>patient(lucy))))&
(![X]:((~tall(X)<~>~generous(X))=>(humble(X... | ~kind(lucy) | [
"p1",
"p4",
"p7",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6880222751943882622375677
% SZS output start Proof for 6880222751943882622375677
2. ! [X0] : ((calm(X0) | patient(X0)) <=> (kind(X0) | creative(X0))) [input p1]
5. ? [X0] : ~generous(X0) <=> (~generous(lucy) <~> patient(lucy)) [input p4]
8. ! [X0] : (~creative(X0) <=> (strong(X0) & quiet(... | 0 |
Everyone who is not patient or patient is either not strong or funny and vice versa. Everyone who is either not kind or old is either humble or kind. Everyone who is both not quiet and not curious is not calm. If someone is not happy or wise then someone is old and vice versa. If susan is wise or strong then paul is ei... | Mary is not calm. | entailment | (![X]:((~patient(X)|patient(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)<~>old(X))=>(humble(X)<~>kind(X))))&
(![X]:((~quiet(X)&~curious(X))=>~calm(X)))&
((?[X]:((~happy(X)|wise(X))))<=>(?[X]:(old(X))))&
(((wise(susan)|strong(susan)))=>((generous(paul)<~>happy(paul))))&
(![X]:((happy(X)&~creative(X))=>(~patient(X)&... | ~calm(mary) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3823225693948540161605903
% SZS output start Proof for 3823225693948540161605903
11. ! [X0] : (~calm(X0) <=> (old(X0) | ~calm(X0))) [input p10]
21. generous(mary) & old(mary) [input p20]
25. calm(mary) [input hypothesis]
52. ! [X0] : ((~calm(X0) | (~old(X0) & calm(X0))) & ((old(X0) | ~cal... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If john is not old then fred is either not humble or not happy. If lucy is either generous or not funny then someone is quiet. If lucy is rich then someone is both wise and not brave. Everyone who i... | Fred is rich. | entailment | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
((~old(john))=>((~humble(fred)<~>~happy(fred))))&
(((generous(lucy)<~>~funny(lucy)))=>(?[X]:(quiet(X))))&
((rich(lucy))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((happy(X)|~strong(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:(creative(X)... | rich(fred) | [
"p1",
"p7",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8549736688218376880942479
% SZS output start Proof for 8549736688218376880942479
2. ! [X0] : (~curious(X0) <=> ~old(X0)) [input p1]
8. (generous(fred) & curious(fred)) <=> ? [X0] : ~quiet(X0) [input p7]
11. ! [X0] : ((brave(X0) | quiet(X0)) => (curious(X0) <~> kind(X0))) [input p10]
16. !... | 0 |
If someone is not humble then fred is either rich or not tall.
Everyone who is not kind or tall is both not old and not kind.
If someone is either old or not old then lucy is not generous.
Everyone who is both calm and not rich is funny or strong.
Everyone who is not creative is both calm and generous.
Everyone who is ... | Fred is rich. | entailment | ((?[X]:(~humble(X)))=>((rich(fred)<~>~tall(fred))))&
(![X]:((~kind(X)|tall(X))=>(~old(X)&~kind(X))))&
((?[X]:((old(X)<~>~old(X))))=>(~generous(lucy)))&
(![X]:((calm(X)&~rich(X))=>(funny(X)|strong(X))))&
(![X]:(~creative(X)=>(calm(X)&generous(X))))&
(![X]:(kind(X)=>(~strong(X)|rich(X))))&
((?[X]:((~strong(X)<~>~curious(... | rich(fred) | [
"p0",
"p1",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1218005073076213311811168
% SZS output start Proof for 1218005073076213311811168
1. ? [X0] : ~humble(X0) => (rich(fred) <~> ~tall(fred)) [input p0]
2. ! [X0] : ((tall(X0) | ~kind(X0)) => (~kind(X0) & ~old(X0))) [input p1]
12. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> tall(X0))) [input p11]
... | 0 |
Everyone who is not funny or tall is funny or brave and vice versa.
Everyone who is tall is both calm and not creative and vice versa.
If someone is not old then alice is not humble.
If paul is either not curious or generous then mary is either not generous or funny.
Everyone who is patient or happy is either tall or w... | Alice is not funny. | neutral | (![X]:((~funny(X)|tall(X))<=>(funny(X)|brave(X))))&
(![X]:(tall(X)<=>(calm(X)&~creative(X))))&
((?[X]:(~old(X)))=>(~humble(alice)))&
(((~curious(paul)<~>generous(paul)))=>((~generous(mary)<~>funny(mary))))&
(![X]:((patient(X)|happy(X))<=>(tall(X)<~>wise(X))))&
((?[X]:((~funny(X)<~>~strong(X))))=>(?[X]:(~old(X))))&
(![X... | ~funny(alice) | [] | null | 0 |
Everyone who is not wise is not tall and vice versa. If alice is both not strong and not generous then someone is not tall or patient and vice versa. If someone is either happy or humble then paul is not strong. Everyone who is either not humble or quiet is brave or tall and vice versa. If someone is both creative and ... | Lucy is humble. | entailment | (![X]:(~wise(X)<=>~tall(X)))&
(((~strong(alice)&~generous(alice)))<=>(?[X]:((~tall(X)|patient(X)))))&
((?[X]:((happy(X)<~>humble(X))))=>(~strong(paul)))&
(![X]:((~humble(X)<~>quiet(X))<=>(brave(X)|tall(X))))&
((?[X]:((creative(X)&~humble(X))))<=>(?[X]:((~creative(X)<~>tall(X)))))&
(((~generous(paul)<~>~patient(paul)))<... | humble(lucy) | [
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 628653419615854868346778
% SZS output start Proof for 628653419615854868346778
4. ! [X0] : ((~humble(X0) <~> quiet(X0)) <=> (tall(X0) | brave(X0))) [input p3]
5. ? [X0] : (~humble(X0) & creative(X0)) <=> ? [X0] : (~creative(X0) <~> tall(X0)) [input p4]
15. ! [X0] : ((curious(X0) & ~curiou... | 0 |
Everyone who is both not curious and not old is not generous.
If paul is rich or old then alice is either not brave or not kind and vice versa.
If someone is generous or not tall then fred is either calm or not strong and vice versa.
Everyone who is not wise or calm is wise and vice versa.
If someone is both brave and ... | Paul is not quiet. | contradiction | (![X]:((~curious(X)&~old(X))=>~generous(X)))&
(((rich(paul)|old(paul)))<=>((~brave(alice)<~>~kind(alice))))&
((?[X]:((generous(X)|~tall(X))))<=>((calm(fred)<~>~strong(fred))))&
(![X]:((~wise(X)|calm(X))<=>wise(X)))&
((?[X]:((brave(X)&~strong(X))))<=>(?[X]:((~happy(X)<~>tall(X)))))&
(![X]:((~brave(X)<~>~patient(X))=>qui... | ~quiet(paul) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7029864980088751371980057
% SZS output start Proof for 7029864980088751371980057
4. ! [X0] : ((calm(X0) | ~wise(X0)) <=> wise(X0)) [input p3]
8. ! [X0] : (~wise(X0) <=> happy(X0)) [input p7]
9. ! [X0] : (happy(X0) <=> ~quiet(X0)) [input p8]
24. ~quiet(paul) [input hypothesis]
38. ! [X0] :... | 0 |
If someone is quiet or old then mary is not rich or not humble. Everyone who is both not kind and funny is strong or happy and vice versa. If someone is both not tall and not patient then someone is not strong and vice versa. Everyone who is either kind or not brave is not old and vice versa. Everyone who is generous o... | Susan is not old. | entailment | ((?[X]:((quiet(X)|old(X))))=>((~rich(mary)|~humble(mary))))&
(![X]:((~kind(X)&funny(X))<=>(strong(X)|happy(X))))&
((?[X]:((~tall(X)&~patient(X))))<=>(?[X]:(~strong(X))))&
(![X]:((kind(X)<~>~brave(X))<=>~old(X)))&
(![X]:((generous(X)|~generous(X))=>~rich(X)))&
(((patient(susan)&happy(susan)))<=>(~rich(susan)))&
(![X]:((... | ~old(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 608562245356995833250355
% SZS output start Proof for 608562245356995833250355
5. ! [X0] : ((~generous(X0) | generous(X0)) => ~rich(X0)) [input p4]
9. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (happy(X0) & ~old(X0))) [input p8]
22. old(susan) [input hypothesis]
26. ! [X0] : (~rich(X0) | (gen... | 0 |
Everyone who is old is either rich or creative.
If someone is generous then someone is patient.
Everyone who is either tall or not rich is both patient and not wise.
If john is not humble then someone is either wise or brave and vice versa.
Everyone who is not rich or not curious is both not generous and not happy.
Eve... | Lucy is curious. | entailment | (![X]:(old(X)=>(rich(X)<~>creative(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((tall(X)<~>~rich(X))=>(patient(X)&~wise(X))))&
((~humble(john))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~rich(X)|~curious(X))=>(~generous(X)&~happy(X))))&
(![X]:((kind(X)|~tall(X))<=>happy(X)))&
(((~brave(alice)|generous(ali... | curious(lucy) | [
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 609713338046140736879935
% SZS output start Proof for 609713338046140736879935
5. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~tall(X0) | kind(X0)) <=> happy(X0)) [input p5]
11. ! [X0] : (~kind(X0) => (wise(X0) & generous(X0))) [input p10... | 0 |
If fred is both not kind and creative then someone is either quiet or generous.
If lucy is kind then someone is quiet or not old.
Everyone who is both kind and old is strong.
Everyone who is creative is both tall and patient and vice versa.
Everyone who is both kind and quiet is brave.
Everyone who is kind or not curio... | Fred is creative. | entailment | (((~kind(fred)&creative(fred)))=>(?[X]:((quiet(X)<~>generous(X)))))&
((kind(lucy))=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((kind(X)&old(X))=>strong(X)))&
(![X]:(creative(X)<=>(tall(X)&patient(X))))&
(![X]:((kind(X)&quiet(X))=>brave(X)))&
(![X]:((kind(X)|~curious(X))=>(~quiet(X)|~happy(X))))&
(![X]:((curious(X)|~funny(X))... | creative(fred) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8579986864660293739603636
% SZS output start Proof for 8579986864660293739603636
12. ? [X0] : (humble(X0) | patient(X0)) <=> creative(fred) [input p11]
22. humble(mary) & ~creative(mary) [input p21]
25. ~creative(fred) [input hypothesis]
58. (? [X0] : (humble(X0) | patient(X0)) | ~creativ... | 0 |
Everyone who is both patient and not brave is either not creative or not old and vice versa.
Everyone who is either brave or kind is either happy or brave.
Everyone who is not kind is both not humble and generous.
If susan is both not generous and generous then lucy is not wise or not funny.
Everyone who is either old ... | Alice is kind. | entailment | (![X]:((patient(X)&~brave(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((brave(X)<~>kind(X))=>(happy(X)<~>brave(X))))&
(![X]:(~kind(X)=>(~humble(X)&generous(X))))&
(((~generous(susan)&generous(susan)))=>((~wise(lucy)|~funny(lucy))))&
(![X]:((old(X)<~>~happy(X))=>happy(X)))&
(![X]:((quiet(X)&~brave(X))=>(~curious(X)|old(X)))... | kind(alice) | [
"p0",
"p2",
"p4",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6109212400303253949483000
% SZS output start Proof for 6109212400303253949483000
1. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : (~kind(X0) => (generous(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((old(X0) <~> ~happy(X0)) => happy(X0)) [inp... | 0 |
Everyone who is strong or brave is both not kind and generous and vice versa.
If someone is funny then fred is curious and vice versa.
If paul is both strong and not wise then someone is happy and vice versa.
If mary is both funny and not brave then paul is not happy or quiet and vice versa.
Everyone who is either quie... | Paul is tall. | contradiction | (![X]:((strong(X)|brave(X))<=>(~kind(X)&generous(X))))&
((?[X]:(funny(X)))<=>(curious(fred)))&
(((strong(paul)&~wise(paul)))<=>(?[X]:(happy(X))))&
(((funny(mary)&~brave(mary)))<=>((~happy(paul)|quiet(paul))))&
(![X]:((quiet(X)<~>brave(X))=>(tall(X)<~>~calm(X))))&
(![X]:((tall(X)|~funny(X))=>(~calm(X)<~>~funny(X))))&
((... | tall(paul) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 338137539273959225445238
% SZS output start Proof for 338137539273959225445238
1. ! [X0] : ((brave(X0) | strong(X0)) <=> (generous(X0) & ~kind(X0))) [input p0]
3. (~wise(paul) & strong(paul)) <=> ? [X0] : happy(X0) [input p2]
5. ! [X0] : ((quiet(X0) <~> brave(X0)) => (tall(X0) <~> ~calm(X... | 0 |
Everyone who is tall is not happy or creative.
If someone is either old or not wise then someone is tall and vice versa.
If mary is rich then someone is rich and vice versa.
If alice is creative then someone is either not funny or not happy.
Everyone who is not rich or not calm is either not creative or wise and vice v... | Fred is brave. | neutral | (![X]:(tall(X)=>(~happy(X)|creative(X))))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((rich(mary))<=>(?[X]:(rich(X))))&
((creative(alice))=>(?[X]:((~funny(X)<~>~happy(X)))))&
(![X]:((~rich(X)|~calm(X))<=>(~creative(X)<~>wise(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~creative(X))))&
((?[X]:((~funny(X)<~>creative(X)))... | brave(fred) | [] | null | 0 |
Everyone who is both not patient and tall is not old or not humble and vice versa.
Everyone who is both funny and not generous is both not brave and not old.
If someone is both not tall and old then mary is not happy and vice versa.
Everyone who is not humble is not old or calm and vice versa.
If paul is humble or not ... | Alice is humble. | entailment | (![X]:((~patient(X)&tall(X))<=>(~old(X)|~humble(X))))&
(![X]:((funny(X)&~generous(X))=>(~brave(X)&~old(X))))&
((?[X]:((~tall(X)&old(X))))<=>(~happy(mary)))&
(![X]:(~humble(X)<=>(~old(X)|calm(X))))&
(((humble(paul)|~kind(paul)))=>(~patient(susan)))&
(![X]:((~brave(X)&strong(X))<=>~humble(X)))&
(![X]:(funny(X)<=>(quiet(X... | humble(alice) | [
"p0",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3443630929045599744457945
% SZS output start Proof for 3443630929045599744457945
1. ! [X0] : ((tall(X0) & ~patient(X0)) <=> (~humble(X0) | ~old(X0))) [input p0]
4. ! [X0] : (~humble(X0) <=> (calm(X0) | ~old(X0))) [input p3]
12. ! [X0] : ((~old(X0) | calm(X0)) => (wise(X0) <~> patient(X0))... | 0 |
If mary is both wise and curious then fred is either not generous or generous and vice versa.
If lucy is not kind then john is generous and vice versa.
If fred is brave then someone is both not calm and humble and vice versa.
If someone is either kind or not strong then lucy is funny or not generous and vice versa.
Eve... | John is not creative. | entailment | (((wise(mary)&curious(mary)))<=>((~generous(fred)<~>generous(fred))))&
((~kind(lucy))<=>(generous(john)))&
((brave(fred))<=>(?[X]:((~calm(X)&humble(X)))))&
((?[X]:((kind(X)<~>~strong(X))))<=>((funny(lucy)|~generous(lucy))))&
(![X]:(~happy(X)=>(~old(X)<~>~creative(X))))&
(![X]:((humble(X)|patient(X))=>(creative(X)&~stro... | ~creative(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8490845859751292448896820
% SZS output start Proof for 8490845859751292448896820
12. ! [X0] : ((~creative(X0) & happy(X0)) <=> (brave(X0) | ~brave(X0))) [input p11]
22. creative(john) [input hypothesis]
57. ! [X0] : (((~creative(X0) & happy(X0)) | (~brave(X0) & brave(X0))) & ((brave(X0) |... | 0 |
If alice is not funny then lucy is strong and vice versa. If john is not wise or humble then fred is both wise and creative and vice versa. If fred is generous then mary is not wise or not funny. If fred is both wise and not funny then paul is both not humble and old. Everyone who is either patient or not patient is bo... | Mary is strong. | contradiction | ((~funny(alice))<=>(strong(lucy)))&
(((~wise(john)|humble(john)))<=>((wise(fred)&creative(fred))))&
((generous(fred))=>((~wise(mary)|~funny(mary))))&
(((wise(fred)&~funny(fred)))=>((~humble(paul)&old(paul))))&
(![X]:((patient(X)<~>~patient(X))<=>(creative(X)&funny(X))))&
(((~kind(susan)&old(susan)))=>(~old(susan)))&
(!... | strong(mary) | [
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3251615534556055348853616
% SZS output start Proof for 3251615534556055348853616
5. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (funny(X0) & creative(X0))) [input p4]
10. ! [X0] : ((patient(X0) | ~generous(X0)) <=> ~creative(X0)) [input p9]
15. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> ~... | 0 |
Everyone who is either humble or not creative is not brave or generous.
If someone is not old then john is calm or strong.
Everyone who is not strong or curious is not generous or not kind and vice versa.
Everyone who is strong is calm.
Everyone who is either funny or generous is both not rich and not generous and vice... | Alice is not wise. | entailment | (![X]:((humble(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:(~old(X)))=>((calm(john)|strong(john))))&
(![X]:((~strong(X)|curious(X))<=>(~generous(X)|~kind(X))))&
(![X]:(strong(X)=>calm(X)))&
(![X]:((funny(X)<~>generous(X))<=>(~rich(X)&~generous(X))))&
(((generous(susan)&happy(susan)))<=>(?[X]:((~old(X)<~>patie... | ~wise(alice) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8814618247839157652583639
% SZS output start Proof for 8814618247839157652583639
1. ! [X0] : ((humble(X0) <~> ~creative(X0)) => (generous(X0) | ~brave(X0))) [input p0]
4. ! [X0] : (strong(X0) => calm(X0)) [input p3]
5. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (~generous(X0) & ~rich(X0))... | 0 |
Everyone who is tall is generous or old and vice versa.
Everyone who is creative or old is both not kind and old.
Everyone who is either creative or not creative is not curious or not old.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funn... | Alice is not funny. | entailment | (![X]:(tall(X)<=>(generous(X)|old(X))))&
(![X]:((creative(X)|old(X))=>(~kind(X)&old(X))))&
(![X]:((creative(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alic... | ~funny(alice) | [
"p1",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4204338385665870283961635
% SZS output start Proof for 4204338385665870283961635
2. ! [X0] : ((old(X0) | creative(X0)) => (old(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p3]
6. ? [X0] : (calm(X0) | funny(X0)) <=> (creative(alice) <... | 0 |
If paul is creative then john is either not quiet or wise.
If someone is kind or not old then paul is calm or strong.
Everyone who is not quiet or old is both kind and not patient.
Everyone who is either not happy or funny is brave.
If susan is either not wise or brave then alice is quiet or not humble and vice versa.
... | Paul is strong. | contradiction | ((creative(paul))=>((~quiet(john)<~>wise(john))))&
((?[X]:((kind(X)|~old(X))))=>((calm(paul)|strong(paul))))&
(![X]:((~quiet(X)|old(X))=>(kind(X)&~patient(X))))&
(![X]:((~happy(X)<~>funny(X))=>brave(X)))&
(((~wise(susan)<~>brave(susan)))<=>((quiet(alice)|~humble(alice))))&
(![X]:((happy(X)|generous(X))<=>(quiet(X)|pati... | strong(paul) | [
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5824824705180691081353885
% SZS output start Proof for 5824824705180691081353885
7. ! [X0] : (generous(X0) <=> (humble(X0) | strong(X0))) [input p6]
11. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~wise(X0))) [input p10]
16. ! [X0] : (~wise(X0) <=> (~rich(X0) | strong(X0))) [input p15]
25. ... | 0 |
Everyone who is both old and not brave is either humble or funny. Everyone who is not rich or not wise is both kind and not generous. Everyone who is either not funny or funny is wise and vice versa. If someone is both not tall and happy then someone is both not kind and not funny and vice versa. If someone is not humb... | Susan is happy. | contradiction | (![X]:((old(X)&~brave(X))=>(humble(X)<~>funny(X))))&
(![X]:((~rich(X)|~wise(X))=>(kind(X)&~generous(X))))&
(![X]:((~funny(X)<~>funny(X))<=>wise(X)))&
((?[X]:((~tall(X)&happy(X))))<=>(?[X]:((~kind(X)&~funny(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((generous(X)&kind(X))<=>~rich(X)))&
(((~fun... | happy(susan) | [
"p1",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2548027431819512445622665
% SZS output start Proof for 2548027431819512445622665
2. ! [X0] : ((~wise(X0) | ~rich(X0)) => (~generous(X0) & kind(X0))) [input p1]
6. ! [X0] : ((kind(X0) & generous(X0)) <=> ~rich(X0)) [input p5]
12. (happy(susan) | ~humble(susan)) <=> (~old(mary) & ~rich(mary... | 0 |
If susan is either not quiet or not calm then someone is either not generous or humble and vice versa.
Everyone who is both not curious and not happy is either patient or not tall.
If someone is kind or patient then someone is either quiet or not humble.
Everyone who is not kind or brave is either not humble or quiet a... | Alice is not happy. | entailment | (((~quiet(susan)<~>~calm(susan)))<=>(?[X]:((~generous(X)<~>humble(X)))))&
(![X]:((~curious(X)&~happy(X))=>(patient(X)<~>~tall(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((~kind(X)|brave(X))<=>(~humble(X)<~>quiet(X))))&
((?[X]:(~wise(X)))=>(?[X]:(~humble(X))))&
(![X]:((~strong(X)|~ha... | ~happy(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5520324801124988326639400
% SZS output start Proof for 5520324801124988326639400
18. ~happy(alice) & humble(alice) [input p17]
24. happy(alice) [input hypothesis]
140. ~happy(alice) [cnf transformation 18]
149. happy(alice) [cnf transformation 24]
304. $false [subsumption resolution 149,1... | 0 |
Everyone who is either wise or not patient is both kind and not generous.
If someone is humble or rich then john is either old or patient and vice versa.
If someone is either not strong or happy then paul is both funny and not brave.
Everyone who is both not humble and not calm is either rich or humble.
If someone is e... | Susan is rich. | entailment | (![X]:((wise(X)<~>~patient(X))=>(kind(X)&~generous(X))))&
((?[X]:((humble(X)|rich(X))))<=>((old(john)<~>patient(john))))&
((?[X]:((~strong(X)<~>happy(X))))=>((funny(paul)&~brave(paul))))&
(![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~cal... | rich(susan) | [
"p3",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4495172252842782288451705
% SZS output start Proof for 4495172252842782288451705
4. ! [X0] : ((~calm(X0) & ~humble(X0)) => (rich(X0) <~> humble(X0))) [input p3]
6. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p5]
10. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p9]
... | 0 |
Everyone who is both not strong and patient is not curious or creative and vice versa.
Everyone who is strong or not old is curious or not funny.
Everyone who is both tall and quiet is calm or not tall and vice versa.
If someone is humble or funny then lucy is not curious or not kind and vice versa.
If lucy is both pat... | Lucy is not patient. | contradiction | (![X]:((~strong(X)&patient(X))<=>(~curious(X)|creative(X))))&
(![X]:((strong(X)|~old(X))=>(curious(X)|~funny(X))))&
(![X]:((tall(X)&quiet(X))<=>(calm(X)|~tall(X))))&
((?[X]:((humble(X)|funny(X))))<=>((~curious(lucy)|~kind(lucy))))&
(((patient(lucy)&~wise(lucy)))<=>((patient(mary)<~>old(mary))))&
(![X]:((funny(X)&~rich(... | ~patient(lucy) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3140492261688545136786188
% SZS output start Proof for 3140492261688545136786188
3. ! [X0] : ((quiet(X0) & tall(X0)) <=> (~tall(X0) | calm(X0))) [input p2]
10. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> (quiet(X0) | calm(X0))) [input p9]
24. ~patient(lucy) [input hypothesis]
42. ! [X0] : (... | 0 |
If fred is either not strong or brave then someone is either not calm or not funny.
Everyone who is either strong or not tall is both strong and not kind and vice versa.
Everyone who is both not creative and not generous is calm and vice versa.
Everyone who is either not funny or not strong is either tall or not wise a... | Paul is kind. | neutral | (((~strong(fred)<~>brave(fred)))=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:((strong(X)<~>~tall(X))<=>(strong(X)&~kind(X))))&
(![X]:((~creative(X)&~generous(X))<=>calm(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(tall(X)<~>~wise(X))))&
(![X]:((~humble(X)|~brave(X))=>(quiet(X)|~old(X))))&
((?[X]:((~calm(X)&~wise(X))))=>(?[X]:... | kind(paul) | [] | null | 0 |
Everyone who is quiet or strong is either humble or happy.
Everyone who is both funny and generous is not patient.
Everyone who is not strong or brave is not strong or quiet.
Everyone who is either not old or not rich is both strong and patient and vice versa.
Everyone who is not creative or not calm is both rich and t... | Susan is not kind. | neutral | (![X]:((quiet(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:((funny(X)&generous(X))=>~patient(X)))&
(![X]:((~strong(X)|brave(X))=>(~strong(X)|quiet(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(strong(X)&patient(X))))&
(![X]:((~creative(X)|~calm(X))=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|stro... | ~kind(susan) | [] | null | 0 |
If someone is not calm or quiet then susan is both old and not brave.
Everyone who is patient or generous is not funny and vice versa.
If someone is not tall then alice is generous or not calm.
Everyone who is not generous is both old and not strong.
Everyone who is not rich or not humble is both kind and not tall and ... | Mary is quiet. | entailment | ((?[X]:((~calm(X)|quiet(X))))=>((old(susan)&~brave(susan))))&
(![X]:((patient(X)|generous(X))<=>~funny(X)))&
((?[X]:(~tall(X)))=>((generous(alice)|~calm(alice))))&
(![X]:(~generous(X)=>(old(X)&~strong(X))))&
(![X]:((~rich(X)|~humble(X))<=>(kind(X)&~tall(X))))&
(((~old(fred)|~tall(fred)))=>(?[X]:((tall(X)<~>~rich(X)))))... | quiet(mary) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1854803689197645203699957
% SZS output start Proof for 1854803689197645203699957
5. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (~tall(X0) & kind(X0))) [input p4]
7. ! [X0] : ((rich(X0) <~> quiet(X0)) => (quiet(X0) & kind(X0))) [input p6]
9. ! [X0] : ((~rich(X0) & kind(X0)) => (calm(X0) & ric... | 0 |
Everyone who is either not happy or not rich is either not patient or generous.
If someone is either humble or strong then someone is not creative.
Everyone who is not quiet or not wise is both wise and not brave and vice versa.
Everyone who is not happy or rich is both happy and not strong and vice versa.
Everyone who... | Fred is calm. | neutral | (![X]:((~happy(X)<~>~rich(X))=>(~patient(X)<~>generous(X))))&
((?[X]:((humble(X)<~>strong(X))))=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(wise(X)&~brave(X))))&
(![X]:((~happy(X)|rich(X))<=>(happy(X)&~strong(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~calm(X)|~creative(X))))&
(![X]:((calm(X)&patient(X))<=>~br... | calm(fred) | [] | null | 0 |
If paul is either happy or not quiet then lucy is rich or tall and vice versa.
Everyone who is either not humble or not strong is either calm or not old.
Everyone who is either not generous or rich is not old or not patient.
Everyone who is both funny and not funny is humble or not curious and vice versa.
If mary is st... | Paul is not rich. | entailment | (((happy(paul)<~>~quiet(paul)))<=>((rich(lucy)|tall(lucy))))&
(![X]:((~humble(X)<~>~strong(X))=>(calm(X)<~>~old(X))))&
(![X]:((~generous(X)<~>rich(X))=>(~old(X)|~patient(X))))&
(![X]:((funny(X)&~funny(X))<=>(humble(X)|~curious(X))))&
(((strong(mary)|~creative(mary)))<=>(?[X]:((~patient(X)<~>~generous(X)))))&
(![X]:((~o... | ~rich(paul) | [
"p1",
"p3",
"p5",
"p8",
"p11",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1923572677477357824887749
% SZS output start Proof for 1923572677477357824887749
2. ! [X0] : ((~humble(X0) <~> ~strong(X0)) => (calm(X0) <~> ~old(X0))) [input p1]
4. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~curious(X0) | humble(X0))) [input p3]
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> crea... | 0 |
Everyone who is not rich is quiet and vice versa. Everyone who is either quiet or brave is either not funny or not rich. Everyone who is not kind or not generous is either not happy or brave and vice versa. Everyone who is either not tall or quiet is both brave and not brave. Everyone who is both creative and happy is ... | John is not happy. | contradiction | (![X]:(~rich(X)<=>quiet(X)))&
(![X]:((quiet(X)<~>brave(X))=>(~funny(X)<~>~rich(X))))&
(![X]:((~kind(X)|~generous(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~tall(X)<~>quiet(X))=>(brave(X)&~brave(X))))&
(![X]:((creative(X)&happy(X))<=>(~humble(X)|generous(X))))&
((?[X]:((quiet(X)&~kind(X))))<=>(?[X]:((wise(X)<~>kind(X)))))... | ~happy(john) | [
"p2",
"p4",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6317316315948221352537624
% SZS output start Proof for 6317316315948221352537624
3. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~happy(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((happy(X0) & creative(X0)) <=> (generous(X0) | ~humble(X0))) [input p4]
9. (brave(john) & calm(john)) <=> ? [X0... | 0 |
If susan is both not rich and not patient then john is not tall.
If john is both wise and generous then someone is not rich and vice versa.
If someone is not brave or not strong then someone is either not happy or not funny and vice versa.
If susan is not patient then alice is strong or curious and vice versa.
Everyone... | Fred is generous. | contradiction | (((~rich(susan)&~patient(susan)))=>(~tall(john)))&
(((wise(john)&generous(john)))<=>(?[X]:(~rich(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((~happy(X)<~>~funny(X)))))&
((~patient(susan))<=>((strong(alice)|curious(alice))))&
(![X]:((~rich(X)|~creative(X))=>(rich(X)|~calm(X))))&
(![X]:(happy(X)<=>~brave(X)))&
(![X]... | generous(fred) | [
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2529668647087071222769509
% SZS output start Proof for 2529668647087071222769509
16. ? [X0] : (~funny(X0) | patient(X0)) => (patient(fred) & ~generous(fred)) [input p15]
18. ? [X0] : (brave(X0) & patient(X0)) [input p17]
25. generous(fred) [input hypothesis]
38. (patient(fred) & ~generous... | 0 |
Everyone who is not patient is not strong and vice versa.
If someone is not patient or not quiet then someone is humble.
Everyone who is not happy is either not patient or not quiet and vice versa.
If someone is old then fred is either not rich or happy.
Everyone who is both creative and patient is quiet or curious and... | Alice is not happy. | entailment | (![X]:(~patient(X)<=>~strong(X)))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:(humble(X))))&
(![X]:(~happy(X)<=>(~patient(X)<~>~quiet(X))))&
((?[X]:(old(X)))=>((~rich(fred)<~>happy(fred))))&
(![X]:((creative(X)&patient(X))<=>(quiet(X)|curious(X))))&
(![X]:(~brave(X)<=>(~brave(X)<~>~curious(X))))&
((?[X]:((wise(X)|quiet(X... | ~happy(alice) | [
"p2",
"p4",
"p5",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4853060151390378449357902
% SZS output start Proof for 4853060151390378449357902
3. ! [X0] : (~happy(X0) <=> (~patient(X0) <~> ~quiet(X0))) [input p2]
5. ! [X0] : ((patient(X0) & creative(X0)) <=> (curious(X0) | quiet(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> ~curious(X... | 0 |
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