premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not curious and not strong is either happy or not happy and vice versa.
If someone is not old then john is either not calm or not creative.
Everyone who is strong is either happy or creative.
If fred is not wise or not kind then john is not quiet or humble and vice versa.
Everyone who is either old... | Fred is wise. | neutral | (![X]:((~curious(X)&~strong(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:(~old(X)))=>((~calm(john)<~>~creative(john))))&
(![X]:(strong(X)=>(happy(X)<~>creative(X))))&
(((~wise(fred)|~kind(fred)))<=>((~quiet(john)|humble(john))))&
(![X]:((old(X)<~>calm(X))=>(~tall(X)<~>~funny(X))))&
((?[X]:((old(X)<~>rich(X))))<=>(?[X]:((~gen... | wise(fred) | [] | null | 0 |
Everyone who is either not old or strong is humble or wise and vice versa.
If susan is both old and not calm then alice is both not generous and not brave and vice versa.
If alice is either not quiet or creative then someone is not brave and vice versa.
If susan is not happy then someone is both not brave and not stron... | Alice is funny. | contradiction | (![X]:((~old(X)<~>strong(X))<=>(humble(X)|wise(X))))&
(((old(susan)&~calm(susan)))<=>((~generous(alice)&~brave(alice))))&
(((~quiet(alice)<~>creative(alice)))<=>(?[X]:(~brave(X))))&
((~happy(susan))=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((~funny(X)|~rich(X))=>(~curious(X)|brave(X))))&
(![X]:((calm(X)|~patient(X))=>s... | funny(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2716354267574889350542445
% SZS output start Proof for 2716354267574889350542445
7. ! [X0] : ((~happy(X0) & happy(X0)) <=> funny(X0)) [input p6]
25. funny(alice) [input hypothesis]
45. ! [X0] : (((~happy(X0) & happy(X0)) | ~funny(X0)) & (funny(X0) | (happy(X0) | ~happy(X0)))) [nnf transfo... | 0 |
Everyone who is either funny or quiet is both not strong and strong. Everyone who is not rich or not happy is happy. If someone is both funny and kind then someone is not quiet or happy and vice versa. If lucy is not curious or tall then john is humble or not wise. Everyone who is not old is both curious and not kind. ... | Paul is not funny. | contradiction | (![X]:((funny(X)<~>quiet(X))=>(~strong(X)&strong(X))))&
(![X]:((~rich(X)|~happy(X))=>happy(X)))&
((?[X]:((funny(X)&kind(X))))<=>(?[X]:((~quiet(X)|happy(X)))))&
(((~curious(lucy)|tall(lucy)))=>((humble(john)|~wise(john))))&
(![X]:(~old(X)=>(curious(X)&~kind(X))))&
((creative(susan))<=>(?[X]:(wise(X))))&
((?[X]:((humble(... | ~funny(paul) | [
"p0",
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 769644824527618415823741
% SZS output start Proof for 769644824527618415823741
1. ! [X0] : ((funny(X0) <~> quiet(X0)) => (strong(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | ~rich(X0)) => happy(X0)) [input p1]
9. ! [X0] : (~quiet(X0) <=> (~wise(X0) & ~happy(X0))) [input p8]
2... | 0 |
If lucy is not calm then paul is not strong. Everyone who is either wise or not old is either creative or not creative and vice versa. Everyone who is either tall or not old is not strong or not old and vice versa. Everyone who is either rich or creative is not kind or patient and vice versa. Everyone who is both not s... | John is calm. | entailment | ((~calm(lucy))=>(~strong(paul)))&
(![X]:((wise(X)<~>~old(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((tall(X)<~>~old(X))<=>(~strong(X)|~old(X))))&
(![X]:((rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:((~strong(X)&~happy(X))<=>(calm(X)|~humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
... | calm(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7586350584342913858140024
% SZS output start Proof for 7586350584342913858140024
5. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~humble(X0) | calm(X0))) [input p4]
6. ? [X0] : strong(X0) <=> ? [X0] : (curious(X0) <~> ~brave(X0)) [input p5]
8. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (wise... | 0 |
Everyone who is either kind or not old is either curious or not rich. If someone is both not rich and not kind then mary is not old and vice versa. Everyone who is both not old and not curious is either rich or not happy and vice versa. Everyone who is either patient or not old is patient and vice versa. If susan is no... | Susan is not generous. | neutral | (![X]:((kind(X)<~>~old(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~rich(X)&~kind(X))))<=>(~old(mary)))&
(![X]:((~old(X)&~curious(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~old(X))<=>patient(X)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~gen... | ~generous(susan) | [] | null | 0 |
If susan is not generous then someone is either happy or wise.
Everyone who is rich is tall.
Everyone who is not generous or not quiet is both kind and not tall and vice versa.
If someone is both tall and rich then susan is both creative and not kind and vice versa.
Everyone who is not happy or generous is happy and vi... | Mary is not rich. | entailment | ((~generous(susan))=>(?[X]:((happy(X)<~>wise(X)))))&
(![X]:(rich(X)=>tall(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(kind(X)&~tall(X))))&
((?[X]:((tall(X)&rich(X))))<=>((creative(susan)&~kind(susan))))&
(![X]:((~happy(X)|generous(X))<=>happy(X)))&
((?[X]:((~kind(X)<~>curious(X))))<=>(?[X]:(~generous(X))))&
((~brave(john)... | ~rich(mary) | [
"p1",
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5111734770632124847941463
% SZS output start Proof for 5111734770632124847941463
2. ! [X0] : (rich(X0) => tall(X0)) [input p1]
3. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~tall(X0) & kind(X0))) [input p2]
4. ? [X0] : (rich(X0) & tall(X0)) <=> (~kind(susan) & creative(susan)) [input p3]... | 0 |
Everyone who is tall or not generous is either not calm or old and vice versa.
If alice is either curious or generous then someone is either calm or not quiet.
If someone is both funny and old then someone is both wise and happy.
If mary is kind or not tall then someone is both funny and not old and vice versa.
Everyon... | Fred is calm. | contradiction | (![X]:((tall(X)|~generous(X))<=>(~calm(X)<~>old(X))))&
(((curious(alice)<~>generous(alice)))=>(?[X]:((calm(X)<~>~quiet(X)))))&
((?[X]:((funny(X)&old(X))))=>(?[X]:((wise(X)&happy(X)))))&
(((kind(mary)|~tall(mary)))<=>(?[X]:((funny(X)&~old(X)))))&
(![X]:(~kind(X)<=>(~patient(X)|creative(X))))&
(![X]:(creative(X)<=>wise(X... | calm(fred) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p11",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 923812028253049753886328
% SZS output start Proof for 923812028253049753886328
5. ! [X0] : (~kind(X0) <=> (creative(X0) | ~patient(X0))) [input p4]
6. ! [X0] : (creative(X0) <=> wise(X0)) [input p5]
7. ? [X0] : ~creative(X0) => (calm(fred) <~> ~generous(fred)) [input p6]
8. ? [X0] : (tall... | 0 |
Everyone who is both old and curious is not kind or not happy and vice versa.
If paul is either strong or calm then someone is both brave and generous.
If someone is both not humble and quiet then susan is kind and vice versa.
Everyone who is not calm or not kind is not brave.
Everyone who is both tall and not rich is ... | Paul is not calm. | contradiction | (![X]:((old(X)&curious(X))<=>(~kind(X)|~happy(X))))&
(((strong(paul)<~>calm(paul)))=>(?[X]:((brave(X)&generous(X)))))&
((?[X]:((~humble(X)&quiet(X))))<=>(kind(susan)))&
(![X]:((~calm(X)|~kind(X))=>~brave(X)))&
(![X]:((tall(X)&~rich(X))<=>(humble(X)<~>~old(X))))&
((~humble(alice))<=>(?[X]:(~curious(X))))&
(![X]:((humble... | ~calm(paul) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7534595112906370943505504
% SZS output start Proof for 7534595112906370943505504
4. ! [X0] : ((~kind(X0) | ~calm(X0)) => ~brave(X0)) [input p3]
23. brave(paul) [input p22]
25. ~calm(paul) [input hypothesis]
27. ! [X0] : (~brave(X0) | (kind(X0) & calm(X0))) [ennf transformation 4]
87. ~bra... | 0 |
Everyone who is not creative is humble.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall or curious is both not old and not kind and vice versa.
If paul is no... | Mary is funny. | entailment | (![X]:(~creative(X)=>humble(X)))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X))))&
(![X]:((humble(X)|~quiet(X))<=>(~old(X)&tall(X))))... | funny(mary) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3853081659266664673467175
% SZS output start Proof for 3853081659266664673467175
3. ! [X0] : ((creative(X0) & ~wise(X0)) <=> ~wise(X0)) [input p2]
5. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p4]
8. (curious(mary) | ~creative(mary)) <=> (wise(paul) | tall(paul... | 0 |
Everyone who is old is both not humble and brave and vice versa. Everyone who is kind is either creative or not patient and vice versa. If someone is both not curious and wise then lucy is happy and vice versa. If paul is either humble or not generous then alice is both not old and tall and vice versa. If someone is fu... | Fred is not generous. | entailment | (![X]:(old(X)<=>(~humble(X)&brave(X))))&
(![X]:(kind(X)<=>(creative(X)<~>~patient(X))))&
((?[X]:((~curious(X)&wise(X))))<=>(happy(lucy)))&
(((humble(paul)<~>~generous(paul)))<=>((~old(alice)&tall(alice))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:(~creative(X))))&
(![X]:((rich(X)|~rich(X))<=>~brave(X)))&
((?[X]:((kind(X)... | ~generous(fred) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8901689538107436645158577
% SZS output start Proof for 8901689538107436645158577
8. ! [X0] : ((humble(X0) | old(X0)) => (~brave(X0) & ~generous(X0))) [input p7]
13. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (generous(X0) | ~strong(X0))) [input p12]
23. generous(fred) [input hypothesis]... | 0 |
Everyone who is both rich and not humble is both tall and not quiet.
If fred is both not creative and tall then someone is not funny.
If someone is not old then someone is wise.
Everyone who is brave is curious or not humble and vice versa.
If someone is calm then mary is both not strong and not curious.
Everyone who i... | Paul is not strong. | entailment | (![X]:((rich(X)&~humble(X))=>(tall(X)&~quiet(X))))&
(((~creative(fred)&tall(fred)))=>(?[X]:(~funny(X))))&
((?[X]:(~old(X)))=>(?[X]:(wise(X))))&
(![X]:(brave(X)<=>(curious(X)|~humble(X))))&
((?[X]:(calm(X)))=>((~strong(mary)&~curious(mary))))&
(![X]:((~happy(X)<~>creative(X))<=>(strong(X)|curious(X))))&
(((brave(lucy)<~... | ~strong(paul) | [
"p5",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2370231756427330647885557
% SZS output start Proof for 2370231756427330647885557
6. ! [X0] : ((~happy(X0) <~> creative(X0)) <=> (curious(X0) | strong(X0))) [input p5]
10. ! [X0] : ((~happy(X0) | brave(X0)) <=> ~strong(X0)) [input p9]
23. ~creative(paul) & ~curious(paul) [input p22]
25. st... | 0 |
If susan is not wise or not happy then paul is not calm and vice versa.
Everyone who is both wise and not generous is both quiet and kind and vice versa.
Everyone who is generous is strong.
Everyone who is either rich or not generous is either not happy or not generous and vice versa.
Everyone who is not patient or not... | Mary is not rich. | contradiction | (((~wise(susan)|~happy(susan)))<=>(~calm(paul)))&
(![X]:((wise(X)&~generous(X))<=>(quiet(X)&kind(X))))&
(![X]:(generous(X)=>strong(X)))&
(![X]:((rich(X)<~>~generous(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((~patient(X)|~funny(X))=>(~old(X)|~creative(X))))&
((?[X]:((~kind(X)&~humble(X))))=>(?[X]:(rich(X))))&
(![X]:((~... | ~rich(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 854530218680265421493162
% SZS output start Proof for 854530218680265421493162
7. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (rich(X0) & ~tall(X0))) [input p6]
25. ~rich(mary) [input hypothesis]
35. ! [X0] : ((rich(X0) & ~tall(X0)) | (quiet(X0) & rich(X0))) [ennf transformation 7]
99. rich(X0)... | 0 |
Everyone who is either wise or not tall is humble or strong and vice versa. Everyone who is patient is either brave or humble. Everyone who is brave or funny is funny or not rich and vice versa. Everyone who is either generous or quiet is tall and vice versa. If someone is either not brave or quiet then someone is both... | John is not tall. | neutral | (![X]:((wise(X)<~>~tall(X))<=>(humble(X)|strong(X))))&
(![X]:(patient(X)=>(brave(X)<~>humble(X))))&
(![X]:((brave(X)|funny(X))<=>(funny(X)|~rich(X))))&
(![X]:((generous(X)<~>quiet(X))<=>tall(X)))&
((?[X]:((~brave(X)<~>quiet(X))))=>(?[X]:((calm(X)&~tall(X)))))&
((?[X]:(~brave(X)))<=>((rich(lucy)<~>~rich(lucy))))&
(((~ha... | ~tall(john) | [] | null | 0 |
Everyone who is brave is both not tall and quiet.
If john is either not patient or not quiet then lucy is either kind or not wise.
Everyone who is creative or not humble is either not kind or not rich and vice versa.
Everyone who is either funny or curious is calm or not humble and vice versa.
Everyone who is kind or n... | Paul is not strong. | neutral | (![X]:(brave(X)=>(~tall(X)&quiet(X))))&
(((~patient(john)<~>~quiet(john)))=>((kind(lucy)<~>~wise(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(... | ~strong(paul) | [] | null | 0 |
If alice is brave then someone is tall or happy.
If fred is both generous and tall then fred is both not tall and strong.
Everyone who is either generous or not patient is tall and vice versa.
If someone is either calm or not tall then john is not brave and vice versa.
Everyone who is either not happy or not humble is ... | John is not funny. | contradiction | ((brave(alice))=>(?[X]:((tall(X)|happy(X)))))&
(((generous(fred)&tall(fred)))=>((~tall(fred)&strong(fred))))&
(![X]:((generous(X)<~>~patient(X))<=>tall(X)))&
((?[X]:((calm(X)<~>~tall(X))))<=>(~brave(john)))&
(![X]:((~happy(X)<~>~humble(X))<=>(tall(X)<~>curious(X))))&
(![X]:((~brave(X)&~quiet(X))<=>(~quiet(X)<~>funny(X)... | ~funny(john) | [
"p3",
"p5",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5054610477213095890436479
% SZS output start Proof for 5054610477213095890436479
4. ? [X0] : (calm(X0) <~> ~tall(X0)) <=> ~brave(john) [input p3]
6. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> (~quiet(X0) <~> funny(X0))) [input p5]
12. ! [X0] : (~calm(X0) => calm(X0)) [input p11]
13. ~calm(lu... | 0 |
If someone is both not quiet and not generous then someone is either not humble or not patient and vice versa. Everyone who is old or not old is both not calm and rich and vice versa. If someone is not wise then lucy is both calm and patient and vice versa. If mary is both not brave and rich then someone is either not ... | Mary is not humble. | entailment | ((?[X]:((~quiet(X)&~generous(X))))<=>(?[X]:((~humble(X)<~>~patient(X)))))&
(![X]:((old(X)|~old(X))<=>(~calm(X)&rich(X))))&
((?[X]:(~wise(X)))<=>((calm(lucy)&patient(lucy))))&
(((~brave(mary)&rich(mary)))<=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((quiet(X)&~rich(X))<=>(~creative(X)<~>tall(X))))&
((?[X]:((quiet(X)|~kin... | ~humble(mary) | [
"p1",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2121204985622963044559365
% SZS output start Proof for 2121204985622963044559365
2. ! [X0] : ((~old(X0) | old(X0)) <=> (rich(X0) & ~calm(X0))) [input p1]
9. ! [X0] : ((rich(X0) & ~generous(X0)) => (calm(X0) & old(X0))) [input p8]
14. ? [X0] : humble(X0) => (~generous(lucy) & old(lucy)) [i... | 0 |
Everyone who is calm or quiet is both not patient and creative and vice versa.
Everyone who is not calm is not creative or not happy.
Everyone who is not happy or not curious is both calm and not rich.
Everyone who is both not curious and not old is either not calm or not funny and vice versa.
Everyone who is either ta... | Susan is old. | neutral | (![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]:((tall(X)<~>~tall(X))<=>(~brave(X)<~>~quiet(X))))&
((?[X]:((old(X)|quiet(X))))<=>((rich(fred)|curious... | old(susan) | [] | null | 0 |
If fred is rich or tall then someone is either humble or kind.
If someone is happy then alice is both not wise and not funny and vice versa.
If paul is not happy or not patient then john is not wise.
If susan is not kind or not tall then mary is brave and vice versa.
Everyone who is either not old or happy is not kind ... | John is not humble. | contradiction | (((rich(fred)|tall(fred)))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:(happy(X)))<=>((~wise(alice)&~funny(alice))))&
(((~happy(paul)|~patient(paul)))=>(~wise(john)))&
(((~kind(susan)|~tall(susan)))<=>(brave(mary)))&
(![X]:((~old(X)<~>happy(X))<=>~kind(X)))&
((?[X]:((~wise(X)<~>generous(X))))=>(?[X]:(~patient(X))))&
(![X]... | ~humble(john) | [
"p2",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 504564909218920873393833
% SZS output start Proof for 504564909218920873393833
3. (~patient(paul) | ~happy(paul)) => ~wise(john) [input p2]
8. ! [X0] : (humble(X0) <=> (~creative(X0) | ~wise(X0))) [input p7]
11. ! [X0] : ((~old(X0) <~> ~patient(X0)) <=> (patient(X0) & old(X0))) [input p10... | 0 |
Everyone who is quiet or not quiet is old and vice versa.
If paul is both brave and funny then fred is either not creative or kind and vice versa.
If someone is either generous or tall then fred is either tall or humble and vice versa.
Everyone who is both calm and not generous is not funny or not generous and vice ver... | Alice is tall. | neutral | (![X]:((quiet(X)|~quiet(X))<=>old(X)))&
(((brave(paul)&funny(paul)))<=>((~creative(fred)<~>kind(fred))))&
((?[X]:((generous(X)<~>tall(X))))<=>((tall(fred)<~>humble(fred))))&
(![X]:((calm(X)&~generous(X))<=>(~funny(X)|~generous(X))))&
((?[X]:((~curious(X)|~funny(X))))<=>((old(mary)<~>~calm(mary))))&
(![X]:(~funny(X)=>(~... | tall(alice) | [] | null | 0 |
Everyone who is either happy or not tall is either not wise or not patient and vice versa.
If someone is both strong and not creative then someone is either not wise or not kind and vice versa.
If someone is both not creative and not generous then someone is kind or not funny and vice versa.
Everyone who is calm or fun... | Lucy is brave. | neutral | (![X]:((happy(X)<~>~tall(X))<=>(~wise(X)<~>~patient(X))))&
((?[X]:((strong(X)&~creative(X))))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
((?[X]:((~creative(X)&~generous(X))))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((calm(X)|funny(X))=>(old(X)&funny(X))))&
((~happy(paul))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:(~old(X)<=>~humb... | brave(lucy) | [] | null | 0 |
If someone is either curious or strong then someone is both not old and not curious and vice versa.
Everyone who is not quiet is curious and vice versa.
If someone is either rich or brave then alice is either funny or wise and vice versa.
Everyone who is not strong is both wise and not kind.
Everyone who is either not ... | Mary is not generous. | contradiction | ((?[X]:((curious(X)<~>strong(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((rich(X)<~>brave(X))))<=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave(X)<~>creative... | ~generous(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8768753817331288311312106
% SZS output start Proof for 8768753817331288311312106
23. generous(mary) & brave(mary) [input p22]
24. ~generous(mary) [input hypothesis]
130. generous(mary) [cnf transformation 23]
131. ~generous(mary) [cnf transformation 24]
280. $false [subsumption resolution... | 0 |
Everyone who is both wise and not creative is humble or generous and vice versa.
If someone is both not humble and not curious then paul is both not quiet and not brave.
Everyone who is either not wise or not old is strong and vice versa.
Everyone who is not curious or not old is wise and vice versa.
Everyone who is qu... | Susan is not brave. | contradiction | (![X]:((wise(X)&~creative(X))<=>(humble(X)|generous(X))))&
((?[X]:((~humble(X)&~curious(X))))=>((~quiet(paul)&~brave(paul))))&
(![X]:((~wise(X)<~>~old(X))<=>strong(X)))&
(![X]:((~curious(X)|~old(X))<=>wise(X)))&
(![X]:(quiet(X)<=>(strong(X)|~humble(X))))&
(((~brave(susan)<~>~tall(susan)))=>(~creative(mary)))&
((?[X]:((... | ~brave(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8643406022734059462423227
% SZS output start Proof for 8643406022734059462423227
1. ! [X0] : ((~creative(X0) & wise(X0)) <=> (generous(X0) | humble(X0))) [input p0]
2. ? [X0] : (~curious(X0) & ~humble(X0)) => (~brave(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~old(X0)) <... | 0 |
Everyone who is both wise and funny is not tall and vice versa.
If john is both not humble and not funny then someone is both not wise and not brave and vice versa.
Everyone who is not brave or not curious is generous and vice versa.
If someone is creative then mary is both generous and not wise and vice versa.
Everyon... | John is not tall. | contradiction | (![X]:((wise(X)&funny(X))<=>~tall(X)))&
(((~humble(john)&~funny(john)))<=>(?[X]:((~wise(X)&~brave(X)))))&
(![X]:((~brave(X)|~curious(X))<=>generous(X)))&
((?[X]:(creative(X)))<=>((generous(mary)&~wise(mary))))&
(![X]:((~kind(X)&~funny(X))<=>(~rich(X)|kind(X))))&
(![X]:(~creative(X)=>(~humble(X)<~>~patient(X))))&
(((~pa... | ~tall(john) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2437027179126635709639855
% SZS output start Proof for 2437027179126635709639855
1. ! [X0] : ((funny(X0) & wise(X0)) <=> ~tall(X0)) [input p0]
13. ! [X0] : ((~calm(X0) & ~funny(X0)) <=> (funny(X0) | ~kind(X0))) [input p12]
24. ~tall(john) [input hypothesis]
35. ! [X0] : (((funny(X0) & wis... | 0 |
Everyone who is either calm or not calm is not generous and vice versa.
If someone is not funny or not curious then susan is either humble or strong.
Everyone who is either not patient or not calm is rich and vice versa.
Everyone who is both generous and funny is not quiet or not patient and vice versa.
Everyone who is... | Fred is not old. | entailment | (![X]:((calm(X)<~>~calm(X))<=>~generous(X)))&
((?[X]:((~funny(X)|~curious(X))))=>((humble(susan)<~>strong(susan))))&
(![X]:((~patient(X)<~>~calm(X))<=>rich(X)))&
(![X]:((generous(X)&funny(X))<=>(~quiet(X)|~patient(X))))&
(![X]:(~wise(X)<=>(old(X)|tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(calm(X))))&
(((~patient(susan... | ~old(fred) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6272814096068900328136132
% SZS output start Proof for 6272814096068900328136132
1. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((~patient(X0) <~> ~calm(X0)) <=> rich(X0)) [input p2]
4. ! [X0] : ((funny(X0) & generous(X0)) <=> (~patient(X0) | ~quiet(X0))) ... | 0 |
If someone is both generous and not funny then someone is not rich or strong and vice versa.
If mary is either humble or wise then someone is not rich or not tall and vice versa.
Everyone who is both creative and not wise is either not strong or generous and vice versa.
If paul is both not strong and brave then someone... | Fred is not old. | neutral | ((?[X]:((generous(X)&~funny(X))))<=>(?[X]:((~rich(X)|strong(X)))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((creative(X)&~wise(X))<=>(~strong(X)<~>generous(X))))&
(((~strong(paul)&brave(paul)))=>(?[X]:((happy(X)|~humble(X)))))&
(![X]:((~brave(X)<~>creative(X))=>(~rich(X)<~>~patient(X))))&... | ~old(fred) | [] | null | 0 |
Everyone who is not rich is creative or not brave.
Everyone who is not wise or not patient is either quiet or not curious and vice versa.
If alice is either patient or wise then paul is not patient and vice versa.
If someone is either quiet or not quiet then paul is both kind and tall.
Everyone who is not strong is not... | Alice is not kind. | neutral | (![X]:(~rich(X)=>(creative(X)|~brave(X))))&
(![X]:((~wise(X)|~patient(X))<=>(quiet(X)<~>~curious(X))))&
(((patient(alice)<~>wise(alice)))<=>(~patient(paul)))&
((?[X]:((quiet(X)<~>~quiet(X))))=>((kind(paul)&tall(paul))))&
(![X]:(~strong(X)=>~wise(X)))&
(![X]:((funny(X)&tall(X))<=>(~old(X)<~>~quiet(X))))&
((?[X]:(creativ... | ~kind(alice) | [] | null | 0 |
Everyone who is not happy is patient and vice versa. Everyone who is quiet or patient is both creative and not funny. Everyone who is both calm and not curious is either wise or not kind and vice versa. Everyone who is generous is both quiet and funny. Everyone who is not old or not funny is not creative or happy. Ever... | Paul is not funny. | neutral | (![X]:(~happy(X)<=>patient(X)))&
(![X]:((quiet(X)|patient(X))=>(creative(X)&~funny(X))))&
(![X]:((calm(X)&~curious(X))<=>(wise(X)<~>~kind(X))))&
(![X]:(generous(X)=>(quiet(X)&funny(X))))&
(![X]:((~old(X)|~funny(X))=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)&~wise(X))<=>(creative(X)&brave(X))))&
((?[X]:((~strong(X)... | ~funny(paul) | [] | null | 0 |
If alice is both strong and kind then alice is either calm or happy.
Everyone who is generous is generous or patient.
Everyone who is both not strong and not creative is quiet or happy and vice versa.
If someone is both tall and humble then susan is either not calm or not strong and vice versa.
If someone is either pat... | Mary is not humble. | entailment | (((strong(alice)&kind(alice)))=>((calm(alice)<~>happy(alice))))&
(![X]:(generous(X)=>(generous(X)|patient(X))))&
(![X]:((~strong(X)&~creative(X))<=>(quiet(X)|happy(X))))&
((?[X]:((tall(X)&humble(X))))<=>((~calm(susan)<~>~strong(susan))))&
((?[X]:((patient(X)<~>~humble(X))))<=>(?[X]:(patient(X))))&
(((~calm(alice)&~humb... | ~humble(mary) | [
"p8",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8981162100035566344501167
% SZS output start Proof for 8981162100035566344501167
9. ! [X0] : ((humble(X0) <~> ~wise(X0)) <=> (kind(X0) | ~creative(X0))) [input p8]
13. ! [X0] : ((wise(X0) | ~tall(X0)) => (calm(X0) & strong(X0))) [input p12]
14. ! [X0] : ((calm(X0) <~> ~strong(X0)) => (~ca... | 0 |
Everyone who is both not quiet and kind is not generous and vice versa. Everyone who is not funny is happy. If alice is not wise then mary is either curious or not rich and vice versa. Everyone who is either not quiet or not curious is either not patient or not quiet and vice versa. If paul is quiet then someone is bot... | Fred is generous. | entailment | (![X]:((~quiet(X)&kind(X))<=>~generous(X)))&
(![X]:(~funny(X)=>happy(X)))&
((~wise(alice))<=>((curious(mary)<~>~rich(mary))))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~patient(X)<~>~quiet(X))))&
((quiet(paul))=>(?[X]:((curious(X)&kind(X)))))&
(![X]:((patient(X)<~>creative(X))=>(patient(X)|~tall(X))))&
(((~kind(alice)|~quie... | generous(fred) | [
"p0",
"p7",
"p10",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3590636091995080712747
% SZS output start Proof for 3590636091995080712747
1. ! [X0] : ((kind(X0) & ~quiet(X0)) <=> ~generous(X0)) [input p0]
8. ! [X0] : (~happy(X0) => ~strong(X0)) [input p7]
11. ! [X0] : (humble(X0) <=> (happy(X0) <~> curious(X0))) [input p10]
13. ! [X0] : ((old(X0) | ~... | 0 |
If someone is both not old and not strong then alice is both not kind and generous. If mary is creative or patient then someone is not quiet and vice versa. If someone is both not happy and humble then fred is not kind and vice versa. Everyone who is not curious or humble is both not strong and old. Everyone who is eit... | Mary is old. | contradiction | ((?[X]:((~old(X)&~strong(X))))=>((~kind(alice)&generous(alice))))&
(((creative(mary)|patient(mary)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~happy(X)&humble(X))))<=>(~kind(fred)))&
(![X]:((~curious(X)|humble(X))=>(~strong(X)&old(X))))&
(![X]:((strong(X)<~>~old(X))<=>~curious(X)))&
(![X]:((~kind(X)|~creative(X))=>(wise(X)|~old... | old(mary) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 837880265160657210986603
% SZS output start Proof for 837880265160657210986603
4. ! [X0] : ((humble(X0) | ~curious(X0)) => (old(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((strong(X0) <~> ~old(X0)) <=> ~curious(X0)) [input p4]
8. ! [X0] : ((~kind(X0) <~> kind(X0)) => (kind(X0) & strong(X0... | 0 |
Everyone who is either creative or not happy is quiet.
Everyone who is both not old and quiet is either not calm or not generous and vice versa.
Everyone who is patient or not wise is either not calm or not patient.
Everyone who is both tall and strong is not rich.
If mary is both patient and not generous then john is ... | John is not wise. | contradiction | (![X]:((creative(X)<~>~happy(X))=>quiet(X)))&
(![X]:((~old(X)&quiet(X))<=>(~calm(X)<~>~generous(X))))&
(![X]:((patient(X)|~wise(X))=>(~calm(X)<~>~patient(X))))&
(![X]:((tall(X)&strong(X))=>~rich(X)))&
(((patient(mary)&~generous(mary)))=>((creative(john)&~old(john))))&
((~patient(john))=>(?[X]:((~rich(X)<~>~strong(X))))... | ~wise(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7094027206094701455736845
% SZS output start Proof for 7094027206094701455736845
8. (~funny(john) & funny(john)) <=> (~wise(john) | happy(john)) [input p7]
23. ~wise(john) [input hypothesis]
49. ((~funny(john) & funny(john)) | (wise(john) & ~happy(john))) & ((~wise(john) | happy(john)) | ... | 0 |
If fred is either old or rich then someone is either creative or kind and vice versa.
If someone is humble then someone is both calm and funny and vice versa.
If someone is not kind or not creative then someone is both generous and happy.
If someone is either quiet or curious then john is curious.
If susan is either no... | Fred is not quiet. | entailment | (((old(fred)<~>rich(fred)))<=>(?[X]:((creative(X)<~>kind(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((calm(X)&funny(X)))))&
((?[X]:((~kind(X)|~creative(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((quiet(X)<~>curious(X))))=>(curious(john)))&
(((~humble(susan)<~>~wise(susan)))=>((old(john)|~brave(john))))&
(![X]:((~curious... | ~quiet(fred) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3650157927078209575546249
% SZS output start Proof for 3650157927078209575546249
4. ? [X0] : (quiet(X0) <~> curious(X0)) => curious(john) [input p3]
6. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (~wise(X0) | curious(X0))) [input p5]
25. quiet(fred) [input hypothesis]
33. curious(john) | !... | 0 |
If fred is either tall or humble then someone is either not calm or not strong.
If someone is both not humble and not strong then someone is either not humble or creative and vice versa.
If lucy is not quiet then mary is either not calm or not happy and vice versa.
Everyone who is not patient or strong is both creative... | Alice is not tall. | contradiction | (((tall(fred)<~>humble(fred)))=>(?[X]:((~calm(X)<~>~strong(X)))))&
((?[X]:((~humble(X)&~strong(X))))<=>(?[X]:((~humble(X)<~>creative(X)))))&
((~quiet(lucy))<=>((~calm(mary)<~>~happy(mary))))&
(![X]:((~patient(X)|strong(X))=>(creative(X)&rich(X))))&
(![X]:(strong(X)=>(~funny(X)&~rich(X))))&
(((humble(alice)|quiet(alice)... | ~tall(alice) | [
"p9",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6907938428632484283464581
% SZS output start Proof for 6907938428632484283464581
10. ! [X0] : ((generous(X0) | ~kind(X0)) => (~curious(X0) & wise(X0))) [input p9]
15. ? [X0] : (~brave(X0) | ~rich(X0)) => ? [X0] : (~kind(X0) & curious(X0)) [input p14]
23. rich(alice) <~> ~tall(alice) [inpu... | 0 |
Everyone who is patient is old or not generous and vice versa. If alice is curious then someone is wise. Everyone who is not brave or not funny is both not generous and not strong. If someone is not wise or rich then someone is old or not brave and vice versa. Everyone who is either not happy or not tall is both curiou... | Susan is not tall. | neutral | (![X]:(patient(X)<=>(old(X)|~generous(X))))&
((curious(alice))=>(?[X]:(wise(X))))&
(![X]:((~brave(X)|~funny(X))=>(~generous(X)&~strong(X))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((~happy(X)<~>~tall(X))<=>(curious(X)&strong(X))))&
(![X]:((~patient(X)<~>strong(X))<=>(kind(X)&~funny(X))))&
(... | ~tall(susan) | [] | null | 0 |
If susan is curious then someone is both patient and calm.
If mary is either not generous or not curious then john is either not rich or rich and vice versa.
Everyone who is either curious or tall is either humble or not calm.
If susan is not quiet or not rich then someone is both patient and happy.
Everyone who is not... | Mary is rich. | contradiction | ((curious(susan))=>(?[X]:((patient(X)&calm(X)))))&
(((~generous(mary)<~>~curious(mary)))<=>((~rich(john)<~>rich(john))))&
(![X]:((curious(X)<~>tall(X))=>(humble(X)<~>~calm(X))))&
(((~quiet(susan)|~rich(susan)))=>(?[X]:((patient(X)&happy(X)))))&
(![X]:((~strong(X)|~quiet(X))<=>(~brave(X)<~>happy(X))))&
((?[X]:((humble(X... | rich(mary) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7506549696759649889578824
% SZS output start Proof for 7506549696759649889578824
3. ! [X0] : ((curious(X0) <~> tall(X0)) => (humble(X0) <~> ~calm(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | ~strong(X0)) <=> (~brave(X0) <~> happy(X0))) [input p4]
7. ! [X0] : ((~wise(X0) & calm(X0)) <=> (~c... | 0 |
If john is happy or not curious then susan is not quiet and vice versa.
Everyone who is wise is old.
Everyone who is both not old and not rich is old or not strong and vice versa.
Everyone who is either rich or not humble is either not rich or funny.
Everyone who is either quiet or not patient is either not wise or cre... | Lucy is not rich. | neutral | (((happy(john)|~curious(john)))<=>(~quiet(susan)))&
(![X]:(wise(X)=>old(X)))&
(![X]:((~old(X)&~rich(X))<=>(old(X)|~strong(X))))&
(![X]:((rich(X)<~>~humble(X))=>(~rich(X)<~>funny(X))))&
(![X]:((quiet(X)<~>~patient(X))=>(~wise(X)<~>creative(X))))&
(![X]:(happy(X)<=>~wise(X)))&
((?[X]:((~tall(X)&~happy(X))))<=>(brave(susa... | ~rich(lucy) | [] | null | 0 |
If someone is either quiet or not wise then someone is either happy or not brave and vice versa.
Everyone who is not kind is generous.
Everyone who is either old or funny is not generous or tall.
If someone is either not tall or kind then someone is not curious and vice versa.
Everyone who is both strong and not brave ... | John is not wise. | neutral | ((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~brave(X)))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((old(X)<~>funny(X))=>(~generous(X)|tall(X))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(~curious(X))))&
(![X]:((strong(X)&~brave(X))=>(~happy(X)&~patient(X))))&
(((~rich(john)<~>creative(john)))=>(?[X]:((kind(X)<~>... | ~wise(john) | [] | null | 0 |
If paul is creative then someone is either kind or not humble.
Everyone who is quiet is not curious.
If john is not creative then fred is both rich and not old.
If john is strong then alice is creative or not tall.
Everyone who is either not quiet or not wise is old and vice versa.
Everyone who is not strong is both qu... | Alice is not creative. | contradiction | ((creative(paul))=>(?[X]:((kind(X)<~>~humble(X)))))&
(![X]:(quiet(X)=>~curious(X)))&
((~creative(john))=>((rich(fred)&~old(fred))))&
((strong(john))=>((creative(alice)|~tall(alice))))&
(![X]:((~quiet(X)<~>~wise(X))<=>old(X)))&
(![X]:(~strong(X)=>(quiet(X)&rich(X))))&
(![X]:(~tall(X)=>(~happy(X)|creative(X))))&
(![X]:((... | ~creative(alice) | [
"p3",
"p5",
"p6",
"p11",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8068209555154707663356834
% SZS output start Proof for 8068209555154707663356834
4. strong(john) => (~tall(alice) | creative(alice)) [input p3]
6. ! [X0] : (~strong(X0) => (rich(X0) & quiet(X0))) [input p5]
7. ! [X0] : (~tall(X0) => (creative(X0) | ~happy(X0))) [input p6]
12. ! [X0] : ((~... | 0 |
If someone is either strong or not happy then lucy is not humble or old and vice versa. Everyone who is either not curious or generous is either not brave or rich and vice versa. Everyone who is either not happy or curious is either not creative or not tall and vice versa. Everyone who is not wise or not brave is not b... | Lucy is tall. | entailment | ((?[X]:((strong(X)<~>~happy(X))))<=>((~humble(lucy)|old(lucy))))&
(![X]:((~curious(X)<~>generous(X))<=>(~brave(X)<~>rich(X))))&
(![X]:((~happy(X)<~>curious(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((~wise(X)|~brave(X))<=>(~brave(X)|~generous(X))))&
(![X]:((~tall(X)|patient(X))<=>(~brave(X)<~>~kind(X))))&
(![X]:((~funny... | tall(lucy) | [
"p2",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 554453767988915377419722
% SZS output start Proof for 554453767988915377419722
3. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> (~creative(X0) <~> ~tall(X0))) [input p2]
13. ! [X0] : (~wise(X0) <=> (~generous(X0) & tall(X0))) [input p12]
14. ! [X0] : ((~curious(X0) <~> happy(X0)) <=> (~kind(... | 0 |
Everyone who is both not curious and not humble is either strong or curious and vice versa.
Everyone who is both not calm and generous is strong or tall.
If paul is not humble then susan is patient or not brave and vice versa.
If paul is either not rich or patient then fred is both happy and not rich.
If someone is tal... | Fred is not curious. | contradiction | (![X]:((~curious(X)&~humble(X))<=>(strong(X)<~>curious(X))))&
(![X]:((~calm(X)&generous(X))=>(strong(X)|tall(X))))&
((~humble(paul))<=>((patient(susan)|~brave(susan))))&
(((~rich(paul)<~>patient(paul)))=>((happy(fred)&~rich(fred))))&
((?[X]:(tall(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((wise(X)|~happy(X))))<=>((kind(paul... | ~curious(fred) | [
"p0",
"p4",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2476122070185572766591972
% SZS output start Proof for 2476122070185572766591972
1. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (strong(X0) <~> curious(X0))) [input p0]
5. ? [X0] : tall(X0) <=> ? [X0] : ~curious(X0) [input p4]
7. ! [X0] : (~generous(X0) <=> tall(X0)) [input p6]
13. ! [X0] ... | 0 |
If fred is either patient or not rich then someone is tall or not funny.
Everyone who is not old is not curious.
If alice is either calm or quiet then susan is not funny or not strong.
Everyone who is both not rich and quiet is both not funny and old and vice versa.
Everyone who is quiet is either happy or not quiet an... | Alice is not generous. | contradiction | (((patient(fred)<~>~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy)... | ~generous(alice) | [
"p4",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9177828239628049488400367
% SZS output start Proof for 9177828239628049488400367
5. ! [X0] : (quiet(X0) <=> (happy(X0) <~> ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | brave(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p6]
8. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~brave(X... | 0 |
If alice is not old then mary is either not tall or happy and vice versa. If someone is either not humble or kind then someone is either not patient or tall. If someone is not humble then someone is either tall or humble and vice versa. If someone is either curious or rich then someone is creative or not funny and vice... | Alice is creative. | neutral | ((~old(alice))<=>((~tall(mary)<~>happy(mary))))&
((?[X]:((~humble(X)<~>kind(X))))=>(?[X]:((~patient(X)<~>tall(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((tall(X)<~>humble(X)))))&
((?[X]:((curious(X)<~>rich(X))))<=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:(patient(X)<=>(tall... | creative(alice) | [] | null | 0 |
If fred is both humble and not brave then mary is both kind and wise and vice versa. If someone is funny or not tall then someone is either strong or patient. Everyone who is either calm or wise is generous or not calm. Everyone who is both kind and humble is creative or calm. If susan is not tall or brave then mary is... | Paul is rich. | neutral | (((humble(fred)&~brave(fred)))<=>((kind(mary)&wise(mary))))&
((?[X]:((funny(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>wise(X))=>(generous(X)|~calm(X))))&
(![X]:((kind(X)&humble(X))=>(creative(X)|calm(X))))&
(((~tall(susan)|brave(susan)))=>((~curious(mary)&calm(mary))))&
(![X]:((~kind(X)|stro... | rich(paul) | [] | null | 0 |
Everyone who is kind is not generous and vice versa. If paul is both old and quiet then someone is rich. Everyone who is both not tall and not kind is not funny. Everyone who is curious is wise or happy. Everyone who is either not strong or tall is not rich or not happy and vice versa. Everyone who is either calm or cu... | Fred is patient. | entailment | (![X]:(kind(X)<=>~generous(X)))&
(((old(paul)&quiet(paul)))=>(?[X]:(rich(X))))&
(![X]:((~tall(X)&~kind(X))=>~funny(X)))&
(![X]:(curious(X)=>(wise(X)|happy(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(~rich(X)|~happy(X))))&
(![X]:((calm(X)<~>curious(X))<=>(old(X)&~curious(X))))&
(((rich(fred)|wise(fred)))=>(~generous(mary)))... | patient(fred) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3607906389722035769265126
% SZS output start Proof for 3607906389722035769265126
11. ? [X0] : ~tall(X0) <=> (~quiet(fred) & patient(fred)) [input p10]
20. ? [X0] : (old(X0) & ~tall(X0)) [input p19]
25. ~patient(fred) [input hypothesis]
57. (? [X0] : ~tall(X0) | (quiet(fred) | ~patient(fre... | 0 |
If lucy is not patient or patient then someone is strong or kind.
Everyone who is not wise or not quiet is either humble or not curious.
Everyone who is both not tall and humble is either not calm or kind and vice versa.
If someone is calm or not old then someone is either rich or not happy.
Everyone who is both not ri... | Susan is funny. | contradiction | (((~patient(lucy)|patient(lucy)))=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((~wise(X)|~quiet(X))=>(humble(X)<~>~curious(X))))&
(![X]:((~tall(X)&humble(X))<=>(~calm(X)<~>kind(X))))&
((?[X]:((calm(X)|~old(X))))=>(?[X]:((rich(X)<~>~happy(X)))))&
(![X]:((~rich(X)&brave(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((~tall(X)<~>humble... | funny(susan) | [
"p1",
"p6",
"p8",
"p11",
"p17",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 144035361142767802515358
% SZS output start Proof for 144035361142767802515358
2. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (humble(X0) <~> ~curious(X0))) [input p1]
7. ! [X0] : ((strong(X0) | funny(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : ((quiet(X0) & rich(X0)) <=> (quiet(X0) | rich(X0))... | 0 |
If someone is either old or not quiet then paul is calm and vice versa.
Everyone who is not creative is tall.
Everyone who is generous is quiet.
If someone is not generous or not humble then john is not rich.
If lucy is either not curious or not humble then fred is not curious or not happy and vice versa.
If someone is... | Alice is quiet. | entailment | ((?[X]:((old(X)<~>~quiet(X))))<=>(calm(paul)))&
(![X]:(~creative(X)=>tall(X)))&
(![X]:(generous(X)=>quiet(X)))&
((?[X]:((~generous(X)|~humble(X))))=>(~rich(john)))&
(((~curious(lucy)<~>~humble(lucy)))<=>((~curious(fred)|~happy(fred))))&
((?[X]:((rich(X)|strong(X))))<=>((generous(alice)&~patient(alice))))&
(![X]:(patien... | quiet(alice) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4786405951647764703833666
% SZS output start Proof for 4786405951647764703833666
3. ! [X0] : (generous(X0) => quiet(X0)) [input p2]
6. ? [X0] : (strong(X0) | rich(X0)) <=> (~patient(alice) & generous(alice)) [input p5]
7. ! [X0] : (patient(X0) <=> (~funny(X0) | ~wise(X0))) [input p6]
9. ?... | 0 |
If alice is curious or generous then someone is humble or not wise and vice versa.
Everyone who is strong or not humble is both humble and calm.
If someone is both generous and funny then someone is either funny or quiet and vice versa.
Everyone who is both not funny and not quiet is calm and vice versa.
If lucy is not... | Lucy is not calm. | contradiction | (((curious(alice)|generous(alice)))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((strong(X)|~humble(X))=>(humble(X)&calm(X))))&
((?[X]:((generous(X)&funny(X))))<=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>calm(X)))&
(((~rich(lucy)|strong(lucy)))<=>((~creative(paul)<~>kind(paul))))&
((?[X]:((~tall(X)<~... | ~calm(lucy) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 815689215514766885917763
% SZS output start Proof for 815689215514766885917763
2. ! [X0] : ((~humble(X0) | strong(X0)) => (calm(X0) & humble(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> calm(X0)) [input p3]
7. ! [X0] : ((~funny(X0) | creative(X0)) <=> (~old(X0) & patient(X0... | 0 |
If someone is curious then mary is not brave.
Everyone who is not generous or brave is not calm or curious and vice versa.
If lucy is either old or brave then alice is humble and vice versa.
Everyone who is either not happy or not creative is not curious or not old.
Everyone who is both not calm and not wise is not hum... | Alice is old. | entailment | ((?[X]:(curious(X)))=>(~brave(mary)))&
(![X]:((~generous(X)|brave(X))<=>(~calm(X)|curious(X))))&
(((old(lucy)<~>brave(lucy)))<=>(humble(alice)))&
(![X]:((~happy(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~calm(X)&~wise(X))=>(~humble(X)|humble(X))))&
(((~patient(susan)&~funny(susan)))=>((~creative(mary)|genero... | old(alice) | [
"p1",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 670944591580759715730952
% SZS output start Proof for 670944591580759715730952
2. ! [X0] : ((brave(X0) | ~generous(X0)) <=> (curious(X0) | ~calm(X0))) [input p1]
11. ! [X0] : ((~happy(X0) | calm(X0)) <=> old(X0)) [input p10]
12. (calm(mary) & ~old(mary)) <=> ? [X0] : brave(X0) [input p11]... | 0 |
If someone is humble or not happy then someone is not old.
Everyone who is both creative and not humble is both not brave and wise and vice versa.
Everyone who is both patient and not rich is both not old and old.
Everyone who is both not rich and not funny is both not calm and not wise and vice versa.
If mary is not c... | Fred is not funny. | contradiction | ((?[X]:((humble(X)|~happy(X))))=>(?[X]:(~old(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&wise(X))))&
(![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>g... | ~funny(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6415594823566483688110403
% SZS output start Proof for 6415594823566483688110403
13. ! [X0] : ((calm(X0) & funny(X0)) <=> (tall(X0) <~> ~tall(X0))) [input p12]
18. ~funny(fred) [input hypothesis]
55. ! [X0] : (((calm(X0) & funny(X0)) | ((tall(X0) | tall(X0)) & (~tall(X0) | ~tall(X0)))) & ... | 0 |
Everyone who is either wise or creative is either not old or creative. Everyone who is happy or not happy is both wise and not rich. Everyone who is not quiet is both wise and patient. Everyone who is either not generous or not funny is curious and vice versa. If someone is curious then fred is strong. Everyone who is ... | Susan is not generous. | neutral | (![X]:((wise(X)<~>creative(X))=>(~old(X)<~>creative(X))))&
(![X]:((happy(X)|~happy(X))=>(wise(X)&~rich(X))))&
(![X]:(~quiet(X)=>(wise(X)&patient(X))))&
(![X]:((~generous(X)<~>~funny(X))<=>curious(X)))&
((?[X]:(curious(X)))=>(strong(fred)))&
(![X]:((curious(X)|creative(X))=>(~creative(X)|funny(X))))&
(![X]:((strong(X)&~... | ~generous(susan) | [] | null | 0 |
If someone is not old or calm then someone is not rich or rich and vice versa.
If john is old then someone is both wise and not rich and vice versa.
Everyone who is both not tall and quiet is kind and vice versa.
Everyone who is old is either patient or not tall.
Everyone who is calm or not generous is both not curious... | John is not strong. | neutral | ((?[X]:((~old(X)|calm(X))))<=>(?[X]:((~rich(X)|rich(X)))))&
((old(john))<=>(?[X]:((wise(X)&~rich(X)))))&
(![X]:((~tall(X)&quiet(X))<=>kind(X)))&
(![X]:(old(X)=>(patient(X)<~>~tall(X))))&
(![X]:((calm(X)|~generous(X))<=>(~curious(X)&~brave(X))))&
((?[X]:((old(X)&strong(X))))<=>((patient(paul)&generous(paul))))&
((?[X]:(... | ~strong(john) | [] | null | 0 |
If susan is not tall or quiet then susan is either wise or kind.
Everyone who is either not rich or humble is quiet or tall and vice versa.
Everyone who is either happy or not old is not calm.
If fred is either not strong or not humble then fred is tall or not calm and vice versa.
Everyone who is either not brave or ri... | Fred is tall. | entailment | (((~tall(susan)|quiet(susan)))=>((wise(susan)<~>kind(susan))))&
(![X]:((~rich(X)<~>humble(X))<=>(quiet(X)|tall(X))))&
(![X]:((happy(X)<~>~old(X))=>~calm(X)))&
(((~strong(fred)<~>~humble(fred)))<=>((tall(fred)|~calm(fred))))&
(![X]:((~brave(X)<~>rich(X))<=>(~rich(X)|~old(X))))&
(![X]:(humble(X)=>(rich(X)&~creative(X))))... | tall(fred) | [
"p1",
"p5",
"p8",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4017227198684292268217283
% SZS output start Proof for 4017227198684292268217283
2. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (tall(X0) | quiet(X0))) [input p1]
6. ! [X0] : (humble(X0) => (~creative(X0) & rich(X0))) [input p5]
9. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (kind(X0) & happy(X0... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is not funny is either strong or not strong.
If someone is both happy and patient then someone is not kind or curious and vice versa.
Everyone who is not strong is not humble or not brave.
If someone is either n... | Alice is not brave. | entailment | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~strong(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~pati... | ~brave(alice) | [
"p0",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5854725809474112682927864
% SZS output start Proof for 5854725809474112682927864
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
8. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p7]
9. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0))... | 0 |
Everyone who is either generous or not brave is generous. Everyone who is either funny or wise is not patient and vice versa. If mary is not generous or brave then john is not old or not creative. If john is either not patient or quiet then someone is both not happy and not rich and vice versa. Everyone who is wise is ... | John is not old. | contradiction | (![X]:((generous(X)<~>~brave(X))=>generous(X)))&
(![X]:((funny(X)<~>wise(X))<=>~patient(X)))&
(((~generous(mary)|brave(mary)))=>((~old(john)|~creative(john))))&
(((~patient(john)<~>quiet(john)))<=>(?[X]:((~happy(X)&~rich(X)))))&
(![X]:(wise(X)=>(~funny(X)<~>~wise(X))))&
(![X]:((calm(X)<~>brave(X))=>wise(X)))&
(((brave(... | ~old(john) | [
"p4",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6664713645480617877438146
% SZS output start Proof for 6664713645480617877438146
5. ! [X0] : (wise(X0) => (~funny(X0) <~> ~wise(X0))) [input p4]
12. ! [X0] : (~rich(X0) => (creative(X0) & old(X0))) [input p11]
14. ~kind(alice) <=> ? [X0] : (~wise(X0) <~> old(X0)) [input p13]
15. ! [X0] : ... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is not calm.
If alice is both kind and not wise then alice is kind or not brave and vice versa.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and stron... | Fred is kind. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:(~calm(X))))&
(((kind(alice)&~wise(alice)))<=>((kind(alice)|~brave(alice))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|pa... | kind(fred) | [
"p0",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2300672049799273035784425
% SZS output start Proof for 2300672049799273035784425
1. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (calm(X0) & creative(X0))) [input p0]
5. ! [X0] : ((strong(X0) & creative(X0)) <=> (patient(X0) | quiet(X0))) [input p4]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=... | 0 |
Everyone who is old or curious is calm or not wise.
If someone is either strong or not kind then mary is either not happy or rich and vice versa.
If someone is creative or rich then paul is both not patient and not happy and vice versa.
If paul is quiet then lucy is not calm and vice versa.
If someone is not curious th... | Alice is rich. | contradiction | (![X]:((old(X)|curious(X))=>(calm(X)|~wise(X))))&
((?[X]:((strong(X)<~>~kind(X))))<=>((~happy(mary)<~>rich(mary))))&
((?[X]:((creative(X)|rich(X))))<=>((~patient(paul)&~happy(paul))))&
((quiet(paul))<=>(~calm(lucy)))&
((?[X]:(~curious(X)))<=>((happy(lucy)<~>wise(lucy))))&
(![X]:((kind(X)|~brave(X))=>(~old(X)|~wise(X)))... | rich(alice) | [
"p2",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2759240943855599628132873
% SZS output start Proof for 2759240943855599628132873
3. ? [X0] : (rich(X0) | creative(X0)) <=> (~happy(paul) & ~patient(paul)) [input p2]
11. ! [X0] : ((strong(X0) | ~kind(X0)) => (~funny(X0) | patient(X0))) [input p10]
16. ! [X0] : (kind(X0) => rich(X0)) [inpu... | 0 |
If fred is not wise or quiet then mary is both not patient and not happy and vice versa.
If susan is both wise and not curious then mary is not strong or patient.
Everyone who is not calm or old is brave.
Everyone who is either old or not rich is rich and vice versa.
Everyone who is both not quiet and not patient is bo... | Lucy is generous. | entailment | (((~wise(fred)|quiet(fred)))<=>((~patient(mary)&~happy(mary))))&
(((wise(susan)&~curious(susan)))=>((~strong(mary)|patient(mary))))&
(![X]:((~calm(X)|old(X))=>brave(X)))&
(![X]:((old(X)<~>~rich(X))<=>rich(X)))&
(![X]:((~quiet(X)&~patient(X))=>(quiet(X)&~kind(X))))&
(![X]:((~kind(X)&~generous(X))=>~brave(X)))&
((happy(l... | generous(lucy) | [
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 373779421544383576665029
% SZS output start Proof for 373779421544383576665029
3. ! [X0] : ((old(X0) | ~calm(X0)) => brave(X0)) [input p2]
4. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> rich(X0)) [input p3]
9. ! [X0] : ((brave(X0) | creative(X0)) => (generous(X0) & ~happy(X0))) [input p8]
24. ~... | 0 |
Everyone who is old is not tall. Everyone who is not quiet is either curious or funny. If someone is both not rich and rich then john is either humble or not generous. If someone is either strong or not calm then someone is not tall or rich and vice versa. Everyone who is not wise or not creative is not humble or not s... | Lucy is wise. | entailment | (![X]:(old(X)=>~tall(X)))&
(![X]:(~quiet(X)=>(curious(X)<~>funny(X))))&
((?[X]:((~rich(X)&rich(X))))=>((humble(john)<~>~generous(john))))&
((?[X]:((strong(X)<~>~calm(X))))<=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~wise(X)|~creative(X))=>(~humble(X)|~strong(X))))&
(![X]:((~generous(X)|~humble(X))=>(old(X)&calm(X))))&
(((... | wise(lucy) | [
"p4",
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6610946335427417049411316
% SZS output start Proof for 6610946335427417049411316
5. ! [X0] : ((~creative(X0) | ~wise(X0)) => (~strong(X0) | ~humble(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~generous(X0)) => (calm(X0) & old(X0))) [input p5]
11. ! [X0] : (~humble(X0) <=> (~strong(X0) | ... | 0 |
If mary is rich or tall then someone is either calm or rich and vice versa.
Everyone who is old is not strong or humble.
Everyone who is both not curious and quiet is not generous.
If susan is either not strong or not calm then paul is either not strong or not wise.
Everyone who is both not curious and happy is not cur... | Paul is strong. | neutral | (((rich(mary)|tall(mary)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:(old(X)=>(~strong(X)|humble(X))))&
(![X]:((~curious(X)&quiet(X))=>~generous(X)))&
(((~strong(susan)<~>~calm(susan)))=>((~strong(paul)<~>~wise(paul))))&
(![X]:((~curious(X)&happy(X))<=>(~curious(X)|~kind(X))))&
((?[X]:(~quiet(X)))<=>((~kind(fred)<~>~curio... | strong(paul) | [] | null | 0 |
If susan is either tall or not curious then susan is not happy or kind.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone who is not rich... | Fred is rich. | entailment | (((tall(susan)<~>~curious(susan)))=>((~happy(susan)|kind(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
... | rich(fred) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 804122789165208836344973
% SZS output start Proof for 804122789165208836344973
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
6. (~wise(alice) & ~creative(alice)) <=> (humble(alice) | ~rich(alice)) [input p5]
7. ? [X... | 0 |
Everyone who is either not funny or kind is both not old and generous.
If paul is generous or not calm then someone is not quiet and vice versa.
Everyone who is funny is not brave or kind.
Everyone who is either old or not strong is either patient or brave and vice versa.
Everyone who is both not old and tall is rich.
... | John is kind. | neutral | (![X]:((~funny(X)<~>kind(X))=>(~old(X)&generous(X))))&
(((generous(paul)|~calm(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(~brave(X)|kind(X))))&
(![X]:((old(X)<~>~strong(X))<=>(patient(X)<~>brave(X))))&
(![X]:((~old(X)&tall(X))=>rich(X)))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=... | kind(john) | [] | null | 0 |
If someone is old or not strong then lucy is either creative or strong and vice versa.
If fred is calm or not calm then mary is not curious or generous and vice versa.
If paul is not patient then someone is brave or rich and vice versa.
Everyone who is either not brave or rich is either happy or not happy and vice vers... | Paul is rich. | contradiction | ((?[X]:((old(X)|~strong(X))))<=>((creative(lucy)<~>strong(lucy))))&
(((calm(fred)|~calm(fred)))<=>((~curious(mary)|generous(mary))))&
((~patient(paul))<=>(?[X]:((brave(X)|rich(X)))))&
(![X]:((~brave(X)<~>rich(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((~strong(X)<~>~rich(X))))<=>(?[X]:(~kind(X))))&
(![X]:(rich(X)=>(brave(... | rich(paul) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2635458715907865439524219
% SZS output start Proof for 2635458715907865439524219
3. ~patient(paul) <=> ? [X0] : (rich(X0) | brave(X0)) [input p2]
17. patient(paul) [input p16]
22. rich(paul) [input hypothesis]
37. (~patient(paul) | ! [X0] : (~rich(X0) & ~brave(X0))) & (? [X0] : (rich(X0) ... | 0 |
Everyone who is happy is quiet. If someone is calm then paul is both strong and tall. Everyone who is either curious or patient is not funny and vice versa. If john is either not brave or not calm then someone is both quiet and not happy and vice versa. Everyone who is both tall and generous is either humble or not cre... | Paul is funny. | entailment | (![X]:(happy(X)=>quiet(X)))&
((?[X]:(calm(X)))=>((strong(paul)&tall(paul))))&
(![X]:((curious(X)<~>patient(X))<=>~funny(X)))&
(((~brave(john)<~>~calm(john)))<=>(?[X]:((quiet(X)&~happy(X)))))&
(![X]:((tall(X)&generous(X))<=>(humble(X)<~>~creative(X))))&
((?[X]:((calm(X)|~old(X))))=>(?[X]:((brave(X)<~>patient(X)))))&
(![... | funny(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 664979437278649986781575
% SZS output start Proof for 664979437278649986781575
8. ! [X0] : ((funny(X0) & strong(X0)) <=> ~funny(X0)) [input p7]
23. ~funny(paul) [input hypothesis]
48. ! [X0] : (((funny(X0) & strong(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) | ~strong(X0)))) [nnf transf... | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not happy or not kind then someone is either tall or kind.
Everyone who is strong is both not kind and old and vice versa.
Everyone who is creative or not strong is not calm or not happy.
If someone is either not ... | Fred is generous. | entailment | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~happy(X)|~kind(X))))=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:(strong(X)<=>(~kind(X)&old(X))))&
(![X]:((creative(X)|~strong(X))=>(~calm(X)|~happy(X))))&
((?[X]:((~kind(X)<~>patient(X))))=>((~happy(susan)&wise(susan))))&
(![X]:(old(X)=>(~strong(X)&strong... | generous(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 226500388130301297678349
% SZS output start Proof for 226500388130301297678349
14. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (~brave(X0) | brave(X0))) [input p13]
23. ~generous(fred) [input hypothesis]
54. ! [X0] : (((generous(X0) & ~tall(X0)) | (brave(X0) & ~brave(X0))) & ((~brave(X0) | b... | 0 |
If someone is both calm and curious then someone is curious or humble and vice versa.
If someone is tall or creative then john is wise or rich.
Everyone who is either not kind or old is not creative.
Everyone who is both not wise and not strong is either kind or not brave and vice versa.
If lucy is not strong then fred... | John is rich. | neutral | ((?[X]:((calm(X)&curious(X))))<=>(?[X]:((curious(X)|humble(X)))))&
((?[X]:((tall(X)|creative(X))))=>((wise(john)|rich(john))))&
(![X]:((~kind(X)<~>old(X))=>~creative(X)))&
(![X]:((~wise(X)&~strong(X))<=>(kind(X)<~>~brave(X))))&
((~strong(lucy))<=>((wise(fred)|tall(fred))))&
((?[X]:(funny(X)))<=>(?[X]:((strong(X)&brave(... | rich(john) | [] | null | 0 |
Everyone who is either wise or not patient is both not rich and generous and vice versa.
If someone is either happy or strong then mary is both not humble and not strong.
Everyone who is humble is either patient or not brave and vice versa.
Everyone who is not curious or not patient is not tall or brave.
If someone is ... | Mary is not humble. | contradiction | (![X]:((wise(X)<~>~patient(X))<=>(~rich(X)&generous(X))))&
((?[X]:((happy(X)<~>strong(X))))=>((~humble(mary)&~strong(mary))))&
(![X]:(humble(X)<=>(patient(X)<~>~brave(X))))&
(![X]:((~curious(X)|~patient(X))=>(~tall(X)|brave(X))))&
((?[X]:((~brave(X)<~>~creative(X))))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((curious(X)... | ~humble(mary) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1398917150174394510845025
% SZS output start Proof for 1398917150174394510845025
1. ! [X0] : ((wise(X0) <~> ~patient(X0)) <=> (generous(X0) & ~rich(X0))) [input p0]
3. ! [X0] : (humble(X0) <=> (patient(X0) <~> ~brave(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | ~curious(X0)) => (brave(X0... | 0 |
Everyone who is both calm and tall is both generous and patient.
If someone is not humble or calm then someone is either not funny or rich.
Everyone who is both brave and patient is both not wise and not humble.
Everyone who is wise is both old and happy.
Everyone who is either not wise or wise is either not generous o... | Paul is not wise. | entailment | (![X]:((calm(X)&tall(X))=>(generous(X)&patient(X))))&
((?[X]:((~humble(X)|calm(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((brave(X)&patient(X))=>(~wise(X)&~humble(X))))&
(![X]:(wise(X)=>(old(X)&happy(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~generous(X)<~>~patient(X))))&
((?[X]:((happy(X)<~>~calm(X))))<=>((~curious(pau... | ~wise(paul) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1941861765473275508248774
% SZS output start Proof for 1941861765473275508248774
1. ! [X0] : ((tall(X0) & calm(X0)) => (patient(X0) & generous(X0))) [input p0]
4. ! [X0] : (wise(X0) => (happy(X0) & old(X0))) [input p3]
5. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~generous(X0) <~> ~patient(X... | 0 |
Everyone who is both not patient and happy is not tall and vice versa. If someone is tall or rich then susan is not old or not curious. Everyone who is not calm or not brave is both happy and not wise and vice versa. Everyone who is either happy or not creative is either not calm or not curious and vice versa. If fred ... | Susan is not strong. | neutral | (![X]:((~patient(X)&happy(X))<=>~tall(X)))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&happ... | ~strong(susan) | [] | null | 0 |
Everyone who is happy is not strong and vice versa.
Everyone who is either not tall or strong is either quiet or not brave and vice versa.
If someone is quiet or brave then someone is both strong and funny.
If susan is both not patient and old then someone is both calm and humble and vice versa.
Everyone who is both ri... | Lucy is rich. | entailment | (![X]:(happy(X)<=>~strong(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(quiet(X)<~>~brave(X))))&
((?[X]:((quiet(X)|brave(X))))=>(?[X]:((strong(X)&funny(X)))))&
(((~patient(susan)&old(susan)))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((rich(X)&~funny(X))<=>happy(X)))&
(![X]:((~old(X)<~>strong(X))=>brave(X)))&
(![X]:((~kind(X)<~>... | rich(lucy) | [
"p0",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1741262077470194475880819
% SZS output start Proof for 1741262077470194475880819
1. ! [X0] : (happy(X0) <=> ~strong(X0)) [input p0]
5. ! [X0] : ((~funny(X0) & rich(X0)) <=> happy(X0)) [input p4]
14. ! [X0] : ((~strong(X0) | happy(X0)) <=> (~rich(X0) | humble(X0))) [input p13]
24. ~rich(lu... | 0 |
If someone is either not patient or wise then someone is both not calm and old and vice versa.
If someone is either calm or kind then susan is both happy and brave and vice versa.
Everyone who is patient is either tall or funny.
If lucy is both not rich and generous then paul is not happy and vice versa.
If someone is ... | Mary is not curious. | contradiction | ((?[X]:((~patient(X)<~>wise(X))))<=>(?[X]:((~calm(X)&old(X)))))&
((?[X]:((calm(X)<~>kind(X))))<=>((happy(susan)&brave(susan))))&
(![X]:(patient(X)=>(tall(X)<~>funny(X))))&
(((~rich(lucy)&generous(lucy)))<=>(~happy(paul)))&
((?[X]:((~tall(X)&~humble(X))))=>((brave(fred)&~happy(fred))))&
(((curious(mary)&patient(mary)))<... | ~curious(mary) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3700973781540201600223070
% SZS output start Proof for 3700973781540201600223070
6. (patient(mary) & curious(mary)) <=> ? [X0] : (quiet(X0) | happy(X0)) [input p5]
23. happy(alice) & ~quiet(alice) [input p22]
25. ~curious(mary) [input hypothesis]
51. ((patient(mary) & curious(mary)) | ! [... | 0 |
Everyone who is either not strong or curious is not patient and vice versa.
If john is generous or not creative then paul is both not kind and not calm.
If mary is both strong and not brave then alice is either not humble or rich and vice versa.
Everyone who is not generous is either patient or not generous and vice ve... | Susan is not wise. | neutral | (![X]:((~strong(X)<~>curious(X))<=>~patient(X)))&
(((generous(john)|~creative(john)))=>((~kind(paul)&~calm(paul))))&
(((strong(mary)&~brave(mary)))<=>((~humble(alice)<~>rich(alice))))&
(![X]:(~generous(X)<=>(patient(X)<~>~generous(X))))&
(![X]:(~quiet(X)=>~patient(X)))&
((?[X]:(brave(X)))<=>((~strong(susan)&~funny(susa... | ~wise(susan) | [] | null | 0 |
Everyone who is both not patient and funny is both funny and not humble. If mary is not tall or not quiet then susan is not old and vice versa. If someone is either not quiet or not generous then mary is either wise or kind. If paul is not humble then someone is both not brave and not patient. If someone is both brave ... | Alice is not quiet. | contradiction | (![X]:((~patient(X)&funny(X))=>(funny(X)&~humble(X))))&
(((~tall(mary)|~quiet(mary)))<=>(~old(susan)))&
((?[X]:((~quiet(X)<~>~generous(X))))=>((wise(mary)<~>kind(mary))))&
((~humble(paul))=>(?[X]:((~brave(X)&~patient(X)))))&
((?[X]:((brave(X)&~kind(X))))<=>(?[X]:((calm(X)&wise(X)))))&
(![X]:((~quiet(X)&~creative(X))=>(... | ~quiet(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 367412039558392316145104
% SZS output start Proof for 367412039558392316145104
16. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X0] : (humble(X0) | ~quiet(X0)) [input p15]
25. ~quiet(alice) [input hypothesis]
27. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X1] : (humble(X1) | ~quiet(X1))... | 0 |
If fred is either patient or not old then paul is both not generous and old and vice versa.
Everyone who is both patient and not rich is not brave.
Everyone who is both not tall and not strong is not old and vice versa.
If someone is both calm and tall then fred is both not strong and not curious and vice versa.
Everyo... | Alice is not patient. | neutral | (((patient(fred)<~>~old(fred)))<=>((~generous(paul)&old(paul))))&
(![X]:((patient(X)&~rich(X))=>~brave(X)))&
(![X]:((~tall(X)&~strong(X))<=>~old(X)))&
((?[X]:((calm(X)&tall(X))))<=>((~strong(fred)&~curious(fred))))&
(![X]:((strong(X)<~>~happy(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((calm(X)... | ~patient(alice) | [] | null | 0 |
If john is both not brave and tall then paul is either kind or not quiet and vice versa.
Everyone who is not happy is both not strong and quiet and vice versa.
Everyone who is both generous and not quiet is not old and vice versa.
If lucy is not creative then paul is creative or strong.
If paul is quiet or strong then ... | Alice is generous. | neutral | (((~brave(john)&tall(john)))<=>((kind(paul)<~>~quiet(paul))))&
(![X]:(~happy(X)<=>(~strong(X)&quiet(X))))&
(![X]:((generous(X)&~quiet(X))<=>~old(X)))&
((~creative(lucy))=>((creative(paul)|strong(paul))))&
(((quiet(paul)|strong(paul)))=>(?[X]:((~old(X)|~wise(X)))))&
(![X]:((generous(X)|~wise(X))=>(~curious(X)|~strong(X)... | generous(alice) | [] | null | 0 |
Everyone who is strong is strong or not patient.
If someone is happy then someone is not happy and vice versa.
Everyone who is not patient is both humble and funny and vice versa.
Everyone who is wise is either not tall or happy and vice versa.
If someone is not strong or not calm then fred is either not quiet or funny... | Fred is curious. | entailment | (![X]:(strong(X)=>(strong(X)|~patient(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~happy(X))))&
(![X]:(~patient(X)<=>(humble(X)&funny(X))))&
(![X]:(wise(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((~strong(X)|~calm(X))))<=>((~quiet(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((kind(X)&funny... | curious(fred) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p16",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8185873538161921569409111
% SZS output start Proof for 8185873538161921569409111
3. ! [X0] : (~patient(X0) <=> (funny(X0) & humble(X0))) [input p2]
4. ! [X0] : (wise(X0) <=> (~tall(X0) <~> happy(X0))) [input p3]
5. ? [X0] : (~calm(X0) | ~strong(X0)) <=> (~quiet(fred) <~> funny(fred)) [inp... | 0 |
Everyone who is not strong or not wise is both funny and patient. Everyone who is both funny and not creative is not wise or not old and vice versa. If mary is creative then someone is not brave and vice versa. Everyone who is tall is both not happy and happy and vice versa. Everyone who is quiet is either not creative... | Susan is not generous. | contradiction | (![X]:((~strong(X)|~wise(X))=>(funny(X)&patient(X))))&
(![X]:((funny(X)&~creative(X))<=>(~wise(X)|~old(X))))&
((creative(mary))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)<=>(~happy(X)&happy(X))))&
(![X]:(quiet(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)=>(~strong(X)<~>~happy(X))))&
(![X]:(~old(X)=>(happy(X)<~>humble(X... | ~generous(susan) | [
"p0",
"p4",
"p7",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7717449803728375457760729
% SZS output start Proof for 7717449803728375457760729
1. ! [X0] : ((~wise(X0) | ~strong(X0)) => (patient(X0) & funny(X0))) [input p0]
5. ! [X0] : (quiet(X0) => (~creative(X0) <~> patient(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> quiet(X0)) [i... | 0 |
Everyone who is not creative is both creative and happy and vice versa.
If someone is quiet or wise then susan is both not brave and not wise.
If someone is both not old and strong then someone is both not calm and brave and vice versa.
Everyone who is strong or not quiet is not happy or not rich.
If someone is generou... | Fred is not happy. | entailment | (![X]:(~creative(X)<=>(creative(X)&happy(X))))&
((?[X]:((quiet(X)|wise(X))))=>((~brave(susan)&~wise(susan))))&
((?[X]:((~old(X)&strong(X))))<=>(?[X]:((~calm(X)&brave(X)))))&
(![X]:((strong(X)|~quiet(X))=>(~happy(X)|~rich(X))))&
((?[X]:(generous(X)))<=>((~happy(mary)<~>rich(mary))))&
(((~brave(john)|~happy(john)))<=>(?[... | ~happy(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 867237408227529625180635
% SZS output start Proof for 867237408227529625180635
1. ! [X0] : (~creative(X0) <=> (happy(X0) & creative(X0))) [input p0]
22. happy(fred) [input hypothesis]
36. ! [X0] : ((~creative(X0) | (~happy(X0) | ~creative(X0))) & ((happy(X0) & creative(X0)) | creative(X0)... | 0 |
If someone is rich then john is both happy and strong.
If someone is not kind then someone is tall and vice versa.
If someone is strong or humble then someone is quiet and vice versa.
Everyone who is both not quiet and not generous is old or generous.
Everyone who is tall or calm is both not patient and not kind and vi... | Lucy is old. | entailment | ((?[X]:(rich(X)))=>((happy(john)&strong(john))))&
((?[X]:(~kind(X)))<=>(?[X]:(tall(X))))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~quiet(X)&~generous(X))=>(old(X)|generous(X))))&
(![X]:((tall(X)|calm(X))<=>(~patient(X)&~kind(X))))&
(((~quiet(john)&~rich(john)))=>((~curious(susan)|~strong(susan))))... | old(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 437569526060153145277077
% SZS output start Proof for 437569526060153145277077
16. ? [X0] : (tall(X0) | ~old(X0)) <=> (funny(fred) & ~funny(fred)) [input p15]
25. ~old(lucy) [input hypothesis]
68. (? [X0] : (tall(X0) | ~old(X0)) | (~funny(fred) | funny(fred))) & ((funny(fred) & ~funny(fre... | 0 |
Everyone who is both not wise and kind is not funny. If someone is either wise or humble then someone is not kind or not happy and vice versa. If mary is both not wise and funny then alice is either not happy or old and vice versa. Everyone who is not quiet is either not creative or not kind. Everyone who is both not h... | Fred is humble. | neutral | (![X]:((~wise(X)&kind(X))=>~funny(X)))&
((?[X]:((wise(X)<~>humble(X))))<=>(?[X]:((~kind(X)|~happy(X)))))&
(((~wise(mary)&funny(mary)))<=>((~happy(alice)<~>old(alice))))&
(![X]:(~quiet(X)=>(~creative(X)<~>~kind(X))))&
(![X]:((~happy(X)&brave(X))=>(wise(X)|brave(X))))&
(![X]:(brave(X)<=>(~calm(X)|patient(X))))&
(![X]:(~h... | humble(fred) | [] | null | 0 |
If fred is either happy or humble then someone is brave.
Everyone who is strong is creative and vice versa.
Everyone who is rich is both generous and creative and vice versa.
If someone is not curious then alice is both not tall and not calm and vice versa.
If fred is both strong and rich then someone is funny.
Everyon... | John is not rich. | neutral | (((happy(fred)<~>humble(fred)))=>(?[X]:(brave(X))))&
(![X]:(strong(X)<=>creative(X)))&
(![X]:(rich(X)<=>(generous(X)&creative(X))))&
((?[X]:(~curious(X)))<=>((~tall(alice)&~calm(alice))))&
(((strong(fred)&rich(fred)))=>(?[X]:(funny(X))))&
(![X]:((~brave(X)&generous(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~t... | ~rich(john) | [] | null | 0 |
Everyone who is not generous or not creative is either not quiet or not humble.
If alice is either not strong or creative then someone is either calm or brave and vice versa.
If alice is both not strong and not old then fred is either not generous or happy and vice versa.
Everyone who is not kind is not tall or curious... | Alice is creative. | neutral | (![X]:((~generous(X)|~creative(X))=>(~quiet(X)<~>~humble(X))))&
(((~strong(alice)<~>creative(alice)))<=>(?[X]:((calm(X)<~>brave(X)))))&
(((~strong(alice)&~old(alice)))<=>((~generous(fred)<~>happy(fred))))&
(![X]:(~kind(X)=>(~tall(X)|curious(X))))&
(![X]:((creative(X)&generous(X))=>~happy(X)))&
(![X]:((humble(X)<~>wise(... | creative(alice) | [] | null | 0 |
If someone is not happy or not funny then paul is calm and vice versa. If someone is not patient or calm then mary is not old. Everyone who is calm is not tall. Everyone who is patient or not quiet is both not funny and not patient. Everyone who is not generous or not kind is both curious and not humble and vice versa.... | Fred is kind. | neutral | ((?[X]:((~happy(X)|~funny(X))))<=>(calm(paul)))&
((?[X]:((~patient(X)|calm(X))))=>(~old(mary)))&
(![X]:(calm(X)=>~tall(X)))&
(![X]:((patient(X)|~quiet(X))=>(~funny(X)&~patient(X))))&
(![X]:((~generous(X)|~kind(X))<=>(curious(X)&~humble(X))))&
(![X]:(~quiet(X)=>(~creative(X)&~calm(X))))&
(![X]:(funny(X)=>(~strong(X)|~ol... | kind(fred) | [] | null | 0 |
If paul is both not brave and not quiet then john is either curious or not old and vice versa. If someone is humble then susan is both calm and strong and vice versa. If paul is quiet or not old then mary is old and vice versa. If someone is either not brave or calm then mary is either not happy or brave and vice versa... | Fred is wise. | neutral | (((~brave(paul)&~quiet(paul)))<=>((curious(john)<~>~old(john))))&
((?[X]:(humble(X)))<=>((calm(susan)&strong(susan))))&
(((quiet(paul)|~old(paul)))<=>(old(mary)))&
((?[X]:((~brave(X)<~>calm(X))))<=>((~happy(mary)<~>brave(mary))))&
(![X]:(~brave(X)<=>kind(X)))&
(((humble(john)|~patient(john)))<=>(?[X]:((~generous(X)<~>~... | wise(fred) | [] | null | 0 |
Everyone who is brave is not patient or happy. Everyone who is not strong is humble or wise and vice versa. Everyone who is tall is either kind or not rich and vice versa. If mary is not strong or wise then someone is both not quiet and not patient. Everyone who is happy is both not kind and tall and vice versa. If som... | Alice is happy. | contradiction | (![X]:(brave(X)=>(~patient(X)|happy(X))))&
(![X]:(~strong(X)<=>(humble(X)|wise(X))))&
(![X]:(tall(X)<=>(kind(X)<~>~rich(X))))&
(((~strong(mary)|wise(mary)))=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:(happy(X)<=>(~kind(X)&tall(X))))&
((?[X]:((~humble(X)|funny(X))))<=>((~funny(alice)|patient(alice))))&
(((~rich(john)<~>~... | happy(alice) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 388794208479012245894433
% SZS output start Proof for 388794208479012245894433
5. ! [X0] : (happy(X0) <=> (tall(X0) & ~kind(X0))) [input p4]
23. kind(alice) & ~strong(alice) [input p22]
25. happy(alice) [input hypothesis]
29. ! [X0] : (happy(X0) => (tall(X0) & ~kind(X0))) [unused predicat... | 0 |
Everyone who is kind is generous. If fred is either not humble or not kind then susan is either kind or wise. If someone is either calm or rich then someone is both not brave and quiet. Everyone who is both not quiet and wise is not happy. Everyone who is both humble and not funny is both strong and funny. If lucy is b... | Susan is humble. | contradiction | (![X]:(kind(X)=>generous(X)))&
(((~humble(fred)<~>~kind(fred)))=>((kind(susan)<~>wise(susan))))&
((?[X]:((calm(X)<~>rich(X))))=>(?[X]:((~brave(X)&quiet(X)))))&
(![X]:((~quiet(X)&wise(X))=>~happy(X)))&
(![X]:((humble(X)&~funny(X))=>(strong(X)&funny(X))))&
(((rich(lucy)&~brave(lucy)))<=>(?[X]:(kind(X))))&
(![X]:((~rich(X... | humble(susan) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2068947139836743541166607
% SZS output start Proof for 2068947139836743541166607
4. ! [X0] : ((wise(X0) & ~quiet(X0)) => ~happy(X0)) [input p3]
5. ! [X0] : ((~funny(X0) & humble(X0)) => (funny(X0) & strong(X0))) [input p4]
7. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> (happy(X0) <~> rich(X0)))... | 0 |
Everyone who is both not funny and happy is old or not generous.
If john is either not calm or not happy then someone is not kind and vice versa.
If someone is either tall or generous then someone is not brave and vice versa.
If someone is not wise then alice is both not creative and quiet and vice versa.
Everyone who ... | Paul is rich. | contradiction | (![X]:((~funny(X)&happy(X))=>(old(X)|~generous(X))))&
(((~calm(john)<~>~happy(john)))<=>(?[X]:(~kind(X))))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:(~brave(X))))&
((?[X]:(~wise(X)))<=>((~creative(alice)&quiet(alice))))&
(![X]:(wise(X)=>(tall(X)&funny(X))))&
((patient(mary))=>((calm(paul)|humble(paul))))&
(![X]:(wise(... | rich(paul) | [
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 649524101078985619754615
% SZS output start Proof for 649524101078985619754615
11. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p10]
15. ! [X0] : (kind(X0) <=> (rich(X0) | curious(X0))) [input p14]
17. brave(paul) <~> ~kind(paul) [input p16]
24. rich(paul) [input... | 0 |
Everyone who is both not rich and tall is creative and vice versa. If mary is either funny or not strong then someone is calm and vice versa. Everyone who is not humble is either rich or happy and vice versa. Everyone who is either strong or happy is funny and vice versa. If mary is either creative or generous then som... | Mary is creative. | neutral | (![X]:((~rich(X)&tall(X))<=>creative(X)))&
(((funny(mary)<~>~strong(mary)))<=>(?[X]:(calm(X))))&
(![X]:(~humble(X)<=>(rich(X)<~>happy(X))))&
(![X]:((strong(X)<~>happy(X))<=>funny(X)))&
(((creative(mary)<~>generous(mary)))=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|~kind(X))<=>(~tall(X)<~>old(X))))&
(((~patient(lucy)|~wise(l... | creative(mary) | [] | null | 0 |
If someone is not kind then someone is both generous and not creative.
Everyone who is either not rich or not generous is either brave or old and vice versa.
Everyone who is either not kind or curious is either not funny or creative.
If fred is creative or not generous then someone is patient or not quiet and vice vers... | Susan is kind. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((~rich(X)<~>~generous(X))<=>(brave(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~funny(X)<~>creative(X))))&
(((creative(fred)|~generous(fred)))<=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((creative(X)<~>strong(X))=>(~humble(X)<~>brave(X))))&
(![X]:(~st... | kind(susan) | [] | null | 0 |
If someone is either curious or not happy then alice is either not happy or not calm and vice versa. If mary is creative then paul is tall. Everyone who is both not calm and brave is brave or not brave. If susan is either not rich or not quiet then someone is not generous or curious and vice versa. Everyone who is eith... | John is generous. | neutral | ((?[X]:((curious(X)<~>~happy(X))))<=>((~happy(alice)<~>~calm(alice))))&
((creative(mary))=>(tall(paul)))&
(![X]:((~calm(X)&brave(X))=>(brave(X)|~brave(X))))&
(((~rich(susan)<~>~quiet(susan)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((~humble(X)<~>~creative(X))=>(~brave(X)<~>~wise(X))))&
((~happy(fred))=>((happy(al... | generous(john) | [] | null | 0 |
Everyone who is both not brave and not humble is quiet or not tall and vice versa. Everyone who is either not brave or patient is both old and kind and vice versa. Everyone who is not curious is not quiet. Everyone who is not brave or not humble is either patient or not humble and vice versa. Everyone who is happy or n... | Alice is not curious. | contradiction | (![X]:((~brave(X)&~humble(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)&kind(X))))&
(![X]:(~curious(X)=>~quiet(X)))&
(![X]:((~brave(X)|~humble(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((happy(X)|~calm(X))<=>(~wise(X)<~>~old(X))))&
(![X]:((~wise(X)|humble(X))=>happy(X)))&
(![X]:((strong(X)|~gene... | ~curious(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6329033282012275961931168
% SZS output start Proof for 6329033282012275961931168
1. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (~tall(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (pati... | 0 |
If someone is not strong then someone is not rich or not old. Everyone who is happy or not calm is not funny and vice versa. Everyone who is either old or not humble is strong or curious and vice versa. If someone is not calm then alice is both not humble and not tall and vice versa. Everyone who is not old or not stro... | Alice is tall. | neutral | ((?[X]:(~strong(X)))=>(?[X]:((~rich(X)|~old(X)))))&
(![X]:((happy(X)|~calm(X))<=>~funny(X)))&
(![X]:((old(X)<~>~humble(X))<=>(strong(X)|curious(X))))&
((?[X]:(~calm(X)))<=>((~humble(alice)&~tall(alice))))&
(![X]:((~old(X)|~strong(X))=>kind(X)))&
(![X]:(humble(X)<=>(~kind(X)&tall(X))))&
((?[X]:((quiet(X)|wise(X))))<=>(?... | tall(alice) | [] | null | 0 |
Everyone who is calm or curious is both not kind and calm and vice versa.
If fred is both not wise and wise then someone is either not humble or not calm and vice versa.
Everyone who is happy is either funny or not patient and vice versa.
Everyone who is not calm is both kind and patient.
Everyone who is both wise and ... | Mary is not happy. | neutral | (![X]:((calm(X)|curious(X))<=>(~kind(X)&calm(X))))&
(((~wise(fred)&wise(fred)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>~patient(X))))&
(![X]:(~calm(X)=>(kind(X)&patient(X))))&
(![X]:((wise(X)&~generous(X))<=>tall(X)))&
(![X]:((~funny(X)<~>~patient(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~creat... | ~happy(mary) | [] | null | 0 |
Everyone who is both not strong and not curious is either creative or rich.
Everyone who is both not generous and not strong is happy.
Everyone who is not generous is not curious.
If someone is not creative or happy then john is not funny and vice versa.
Everyone who is patient or wise is either patient or tall and vic... | Paul is wise. | entailment | (![X]:((~strong(X)&~curious(X))=>(creative(X)<~>rich(X))))&
(![X]:((~generous(X)&~strong(X))=>happy(X)))&
(![X]:(~generous(X)=>~curious(X)))&
((?[X]:((~creative(X)|happy(X))))<=>(~funny(john)))&
(![X]:((patient(X)|wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((happy(X)<~>tall(X))<=>old(X)))&
(![X]:((~kind(X)|wise(X))<=>c... | wise(paul) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7893126792874391469957395
% SZS output start Proof for 7893126792874391469957395
5. ! [X0] : ((wise(X0) | patient(X0)) <=> (patient(X0) <~> tall(X0))) [input p4]
16. tall(paul) [input p15]
23. ~wise(paul) [input hypothesis]
38. ! [X0] : (((wise(X0) | patient(X0)) | ((patient(X0) | ~tall(X... | 0 |
Everyone who is brave is both not rich and not generous.
Everyone who is both tall and not tall is humble or quiet and vice versa.
Everyone who is strong is not generous or humble and vice versa.
Everyone who is happy is both not tall and patient.
If someone is not rich then mary is not tall or not brave.
Everyone who ... | Susan is not generous. | contradiction | (![X]:(brave(X)=>(~rich(X)&~generous(X))))&
(![X]:((tall(X)&~tall(X))<=>(humble(X)|quiet(X))))&
(![X]:(strong(X)<=>(~generous(X)|humble(X))))&
(![X]:(happy(X)=>(~tall(X)&patient(X))))&
((?[X]:(~rich(X)))=>((~tall(mary)|~brave(mary))))&
(![X]:(~curious(X)<=>(tall(X)|~calm(X))))&
((?[X]:((curious(X)|kind(X))))<=>(?[X]:((... | ~generous(susan) | [
"p0",
"p1",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4308939220001191546264690
% SZS output start Proof for 4308939220001191546264690
1. ! [X0] : (brave(X0) => (~generous(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~tall(X0) & tall(X0)) <=> (quiet(X0) | humble(X0))) [input p1]
7. ? [X0] : (kind(X0) | curious(X0)) <=> ? [X0] : (~tall(X0) & br... | 0 |
If john is happy then fred is both calm and not wise and vice versa. Everyone who is either brave or not old is wise or not tall. Everyone who is happy is either rich or not funny and vice versa. If alice is both old and kind then someone is either calm or not brave. Everyone who is not happy is either humble or not hu... | Lucy is not old. | entailment | ((happy(john))<=>((calm(fred)&~wise(fred))))&
(![X]:((brave(X)<~>~old(X))=>(wise(X)|~tall(X))))&
(![X]:(happy(X)<=>(rich(X)<~>~funny(X))))&
(((old(alice)&kind(alice)))=>(?[X]:((calm(X)<~>~brave(X)))))&
(![X]:(~happy(X)=>(humble(X)<~>~humble(X))))&
(![X]:((~strong(X)|humble(X))<=>(patient(X)&happy(X))))&
(((funny(lucy)<... | ~old(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2609306437072505516311230
% SZS output start Proof for 2609306437072505516311230
22. ~old(lucy) & ~strong(lucy) [input p21]
24. old(lucy) [input hypothesis]
120. ~old(lucy) [cnf transformation 22]
123. old(lucy) [cnf transformation 24]
140. 4 <=> old(lucy) [avatar definition]
242. ~4 [ava... | 0 |
If someone is not funny or not calm then paul is either not kind or funny. If fred is not brave then paul is not generous or tall. Everyone who is kind is both rich and not creative. Everyone who is generous or not rich is either patient or not happy and vice versa. If someone is both not brave and humble then someone ... | Susan is not patient. | contradiction | ((?[X]:((~funny(X)|~calm(X))))=>((~kind(paul)<~>funny(paul))))&
((~brave(fred))=>((~generous(paul)|tall(paul))))&
(![X]:(kind(X)=>(rich(X)&~creative(X))))&
(![X]:((generous(X)|~rich(X))<=>(patient(X)<~>~happy(X))))&
((?[X]:((~brave(X)&humble(X))))<=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:((~calm(X)|~kind(X))<=>(stron... | ~patient(susan) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6740596766383853019899792
% SZS output start Proof for 6740596766383853019899792
3. ! [X0] : (kind(X0) => (~creative(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~rich(X0) | generous(X0)) <=> (patient(X0) <~> ~happy(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (~curious(X0) & st... | 0 |
Everyone who is either not wise or not quiet is either humble or not wise and vice versa.
If someone is funny or creative then john is old or wise.
Everyone who is patient or not humble is not generous or curious and vice versa.
If mary is both not rich and funny then alice is not kind or kind and vice versa.
Everyone ... | Fred is generous. | entailment | (![X]:((~wise(X)<~>~quiet(X))<=>(humble(X)<~>~wise(X))))&
((?[X]:((funny(X)|creative(X))))=>((old(john)|wise(john))))&
(![X]:((patient(X)|~humble(X))<=>(~generous(X)|curious(X))))&
(((~rich(mary)&funny(mary)))<=>((~kind(alice)|kind(alice))))&
(![X]:(~old(X)=>(brave(X)&wise(X))))&
(![X]:((quiet(X)<~>~old(X))=>(old(X)|~t... | generous(fred) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3433343022301592629407415
% SZS output start Proof for 3433343022301592629407415
1. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) <=> (humble(X0) <~> ~wise(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | patient(X0)) <=> (curious(X0) | ~generous(X0))) [input p2]
5. ! [X0] : (~old(X0) => (wise(X0) & b... | 0 |
Everyone who is not kind is not strong or patient and vice versa.
If paul is kind or not curious then someone is either curious or not rich.
Everyone who is both calm and not funny is either creative or not wise.
If someone is either not brave or not patient then someone is calm or happy.
Everyone who is either not wis... | Alice is not curious. | entailment | (![X]:(~kind(X)<=>(~strong(X)|patient(X))))&
(((kind(paul)|~curious(paul)))=>(?[X]:((curious(X)<~>~rich(X)))))&
(![X]:((calm(X)&~funny(X))=>(creative(X)<~>~wise(X))))&
((?[X]:((~brave(X)<~>~patient(X))))=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~wise(X)<~>~patient(X))=>(humble(X)|patient(X))))&
(![X]:((patient(X)|~strong... | ~curious(alice) | [
"p0",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 577311490806591820383437
% SZS output start Proof for 577311490806591820383437
1. ! [X0] : (~kind(X0) <=> (patient(X0) | ~strong(X0))) [input p0]
6. ! [X0] : ((~strong(X0) | patient(X0)) <=> ~curious(X0)) [input p5]
21. happy(alice) & ~kind(alice) [input p20]
23. curious(alice) [input hyp... | 0 |
If mary is not happy or rich then alice is either creative or not curious and vice versa. Everyone who is calm or not kind is both not rich and not strong and vice versa. Everyone who is quiet or not tall is either not calm or patient and vice versa. Everyone who is not humble is either not old or curious. If someone i... | Susan is not rich. | neutral | (((~happy(mary)|rich(mary)))<=>((creative(alice)<~>~curious(alice))))&
(![X]:((calm(X)|~kind(X))<=>(~rich(X)&~strong(X))))&
(![X]:((quiet(X)|~tall(X))<=>(~calm(X)<~>patient(X))))&
(![X]:(~humble(X)=>(~old(X)<~>curious(X))))&
((?[X]:((wise(X)&patient(X))))=>((~curious(lucy)|humble(lucy))))&
(![X]:((~funny(X)|~generous(X... | ~rich(susan) | [] | null | 0 |
If someone is tall then mary is either not curious or humble.
Everyone who is both not tall and kind is wise.
If someone is both quiet and funny then mary is either not wise or not strong.
If someone is kind or not old then mary is either creative or brave and vice versa.
Everyone who is not kind is both creative and n... | Fred is patient. | contradiction | ((?[X]:(tall(X)))=>((~curious(mary)<~>humble(mary))))&
(![X]:((~tall(X)&kind(X))=>wise(X)))&
((?[X]:((quiet(X)&funny(X))))=>((~wise(mary)<~>~strong(mary))))&
((?[X]:((kind(X)|~old(X))))<=>((creative(mary)<~>brave(mary))))&
(![X]:(~kind(X)=>(creative(X)&~creative(X))))&
(![X]:((creative(X)|tall(X))=>(happy(X)&~generous(... | patient(fred) | [
"p1",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6355826508863027910472194
% SZS output start Proof for 6355826508863027910472194
2. ! [X0] : ((kind(X0) & ~tall(X0)) => wise(X0)) [input p1]
5. ! [X0] : (~kind(X0) => (~creative(X0) & creative(X0))) [input p4]
6. ! [X0] : ((tall(X0) | creative(X0)) => (~generous(X0) & happy(X0))) [input p... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.