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 |
|---|---|---|---|---|---|---|---|
If mary is not funny or not generous then susan is both curious and not humble. Everyone who is old or not wise is not brave and vice versa. If lucy is not brave or not old then fred is not calm and vice versa. Everyone who is patient or not happy is tall. Everyone who is patient or not happy is generous or not wise an... | Mary is not wise. | contradiction | (((~funny(mary)|~generous(mary)))=>((curious(susan)&~humble(susan))))&
(![X]:((old(X)|~wise(X))<=>~brave(X)))&
(((~brave(lucy)|~old(lucy)))<=>(~calm(fred)))&
(![X]:((patient(X)|~happy(X))=>tall(X)))&
(![X]:((patient(X)|~happy(X))<=>(generous(X)|~wise(X))))&
(((curious(paul)|~curious(paul)))<=>(?[X]:((~patient(X)<~>stro... | ~wise(mary) | [
"p4",
"p9",
"p12",
"p14",
"p16",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4852389668287411865943061
% SZS output start Proof for 4852389668287411865943061
5. ! [X0] : ((~happy(X0) | patient(X0)) <=> (~wise(X0) | generous(X0))) [input p4]
10. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (generous(X0) & funny(X0))) [input p9]
13. ! [X0] : ((~funny(X0) | curious(X0)) ... | 0 |
Everyone who is either not happy or not calm is generous.
If someone is either not patient or not tall then mary is tall or not funny.
Everyone who is not humble or not kind is curious or kind and vice versa.
If someone is happy or not generous then john is either patient or not curious.
If alice is either calm or gene... | Mary is rich. | entailment | (![X]:((~happy(X)<~>~calm(X))=>generous(X)))&
((?[X]:((~patient(X)<~>~tall(X))))=>((tall(mary)|~funny(mary))))&
(![X]:((~humble(X)|~kind(X))<=>(curious(X)|kind(X))))&
((?[X]:((happy(X)|~generous(X))))=>((patient(john)<~>~curious(john))))&
(((calm(alice)<~>generous(alice)))<=>(?[X]:((~creative(X)&quiet(X)))))&
(![X]:((r... | rich(mary) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6875759675645660911873890
% SZS output start Proof for 6875759675645660911873890
6. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (~creative(X0) | wise(X0))) [input p5]
23. ~creative(mary) [input p22]
25. ~rich(mary) [input hypothesis]
50. ! [X0] : (((~quiet(X0) & rich(X0)) | (creative(X0) & ~wis... | 0 |
If lucy is strong then susan is not kind and vice versa.
If fred is both strong and not curious then lucy is quiet.
Everyone who is either quiet or generous is either happy or rich.
If someone is not old then lucy is both creative and strong and vice versa.
If someone is not rich then john is either quiet or kind.
If l... | Mary is not brave. | entailment | ((strong(lucy))<=>(~kind(susan)))&
(((strong(fred)&~curious(fred)))=>(quiet(lucy)))&
(![X]:((quiet(X)<~>generous(X))=>(happy(X)<~>rich(X))))&
((?[X]:(~old(X)))<=>((creative(lucy)&strong(lucy))))&
((?[X]:(~rich(X)))=>((quiet(john)<~>kind(john))))&
(((funny(lucy)|~rich(lucy)))<=>(?[X]:((~funny(X)|tall(X)))))&
((old(lucy)... | ~brave(mary) | [
"p0",
"p3",
"p8",
"p12",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8996849796966390704702334
% SZS output start Proof for 8996849796966390704702334
1. strong(lucy) <=> ~kind(susan) [input p0]
4. ? [X0] : ~old(X0) <=> (strong(lucy) & creative(lucy)) [input p3]
9. ? [X0] : ~old(X0) <=> ? [X0] : ~wise(X0) [input p8]
13. ! [X0] : (patient(X0) => (generous(X0... | 0 |
Everyone who is humble is either not generous or kind. Everyone who is generous or not wise is not humble or not generous. Everyone who is either old or not funny is humble or not brave and vice versa. If someone is either funny or calm then someone is both not brave and funny. If someone is not kind or generous then f... | Fred is not happy. | entailment | (![X]:(humble(X)=>(~generous(X)<~>kind(X))))&
(![X]:((generous(X)|~wise(X))=>(~humble(X)|~generous(X))))&
(![X]:((old(X)<~>~funny(X))<=>(humble(X)|~brave(X))))&
((?[X]:((funny(X)<~>calm(X))))=>(?[X]:((~brave(X)&funny(X)))))&
((?[X]:((~kind(X)|generous(X))))=>(~patient(fred)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(ma... | ~happy(fred) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 233972481004462144294725
% SZS output start Proof for 233972481004462144294725
8. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p7]
10. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~quiet(X0) & generous(X0))) [input p9]
16. ! [X0] : ((~wise(X0) | strong(X0)) <=> (t... | 0 |
If mary is either not brave or not calm then someone is not old and vice versa.
Everyone who is both calm and not old is both not quiet and not old and vice versa.
If someone is humble or tall then paul is not old.
If someone is either funny or not brave then someone is both creative and not wise.
Everyone who is eithe... | Paul is not calm. | entailment | (((~brave(mary)<~>~calm(mary)))<=>(?[X]:(~old(X))))&
(![X]:((calm(X)&~old(X))<=>(~quiet(X)&~old(X))))&
((?[X]:((humble(X)|tall(X))))=>(~old(paul)))&
((?[X]:((funny(X)<~>~brave(X))))=>(?[X]:((creative(X)&~wise(X)))))&
(![X]:((humble(X)<~>~rich(X))<=>(curious(X)|kind(X))))&
(((old(john)|~generous(john)))<=>((rich(paul)&q... | ~calm(paul) | [
"p1",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9119507223580760300686512
% SZS output start Proof for 9119507223580760300686512
2. ! [X0] : ((~old(X0) & calm(X0)) <=> (~old(X0) & ~quiet(X0))) [input p1]
7. ! [X0] : (~old(X0) => (quiet(X0) & generous(X0))) [input p6]
19. curious(paul) & ~old(paul) [input p18]
25. calm(paul) [input hypo... | 0 |
Everyone who is both not patient and tall is not old or not humble and vice versa.
Everyone who is both funny and not generous is both not brave and not old.
If someone is both not tall and old then mary is not happy and vice versa.
Everyone who is not humble is not old or calm and vice versa.
If paul is humble or not ... | Lucy is strong. | contradiction | (![X]:((~patient(X)&tall(X))<=>(~old(X)|~humble(X))))&
(![X]:((funny(X)&~generous(X))=>(~brave(X)&~old(X))))&
((?[X]:((~tall(X)&old(X))))<=>(~happy(mary)))&
(![X]:(~humble(X)<=>(~old(X)|calm(X))))&
(((humble(paul)|~kind(paul)))=>(~patient(susan)))&
(![X]:((~brave(X)&strong(X))<=>~humble(X)))&
(![X]:(funny(X)<=>(quiet(X... | strong(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3943473646585197076716596
% SZS output start Proof for 3943473646585197076716596
1. ! [X0] : ((tall(X0) & ~patient(X0)) <=> (~humble(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((~generous(X0) & funny(X0)) => (~old(X0) & ~brave(X0))) [input p1]
4. ! [X0] : (~humble(X0) <=> (calm(X0) | ~old(X0... | 0 |
Everyone who is generous is not curious. Everyone who is generous is strong and vice versa. Everyone who is creative is either funny or not kind. Everyone who is not curious is wise and vice versa. Everyone who is not strong is generous. Everyone who is not generous is either funny or rich and vice versa. Everyone who ... | Lucy is not calm. | entailment | (![X]:(generous(X)=>~curious(X)))&
(![X]:(generous(X)<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)<~>~kind(X))))&
(![X]:(~curious(X)<=>wise(X)))&
(![X]:(~strong(X)=>generous(X)))&
(![X]:(~generous(X)<=>(funny(X)<~>rich(X))))&
(![X]:(~generous(X)<=>calm(X)))&
((?[X]:((calm(X)|quiet(X))))=>(?[X]:((~patient(X)|~humble(X))... | ~calm(lucy) | [
"p1",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 676120069733825965168025
% SZS output start Proof for 676120069733825965168025
2. ! [X0] : (generous(X0) <=> strong(X0)) [input p1]
5. ! [X0] : (~strong(X0) => generous(X0)) [input p4]
7. ! [X0] : (~generous(X0) <=> calm(X0)) [input p6]
22. calm(lucy) [input hypothesis]
29. ! [X0] : (gene... | 0 |
Everyone who is either strong or generous is not strong and vice versa.
Everyone who is either not funny or not old is either not quiet or not wise and vice versa.
Everyone who is not wise is either old or not tall and vice versa.
If someone is either not happy or not generous then fred is not rich or calm and vice ver... | Alice is not wise. | neutral | (![X]:((strong(X)<~>generous(X))<=>~strong(X)))&
(![X]:((~funny(X)<~>~old(X))<=>(~quiet(X)<~>~wise(X))))&
(![X]:(~wise(X)<=>(old(X)<~>~tall(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((~rich(fred)|calm(fred))))&
((?[X]:((~rich(X)<~>wise(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((tall(john)&old(john)))<=>(?[X]:(pati... | ~wise(alice) | [] | null | 0 |
Everyone who is either not generous or happy is either brave or rich and vice versa.
Everyone who is both curious and not patient is not strong or not humble and vice versa.
Everyone who is not happy is not funny.
If john is strong or calm then someone is humble.
If someone is either creative or rich then john is both ... | Fred is not brave. | entailment | (![X]:((~generous(X)<~>happy(X))<=>(brave(X)<~>rich(X))))&
(![X]:((curious(X)&~patient(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~happy(X)=>~funny(X)))&
(((strong(john)|calm(john)))=>(?[X]:(humble(X))))&
((?[X]:((creative(X)<~>rich(X))))=>((~generous(john)&~happy(john))))&
(((kind(john)|~rich(john)))<=>(?[X]:((~funny(X)&... | ~brave(fred) | [
"p1",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1585511916198381350890110
% SZS output start Proof for 1585511916198381350890110
2. ! [X0] : ((~patient(X0) & curious(X0)) <=> (~humble(X0) | ~strong(X0))) [input p1]
7. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (~strong(X0) & ~old(X0))) [input p6]
10. ! [X0] : ((humble(X0) | ~quiet(X0)) <=... | 0 |
Everyone who is not happy is either rich or not curious and vice versa. If someone is tall or not funny then fred is both not brave and calm and vice versa. If john is not happy or not curious then someone is not brave or funny and vice versa. If lucy is either calm or happy then mary is either not creative or not tall... | Susan is not wise. | entailment | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
((?[X]:((tall(X)|~funny(X))))<=>((~brave(fred)&calm(fred))))&
(((~happy(john)|~curious(john)))<=>(?[X]:((~brave(X)|funny(X)))))&
(((calm(lucy)<~>happy(lucy)))<=>((~creative(mary)<~>~tall(mary))))&
(((~calm(alice)<~>~humble(alice)))=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~... | ~wise(susan) | [
"p1",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5070934723087309535485008
% SZS output start Proof for 5070934723087309535485008
2. ? [X0] : (~funny(X0) | tall(X0)) <=> (calm(fred) & ~brave(fred)) [input p1]
8. ! [X0] : ((~patient(X0) | calm(X0)) <=> (~happy(X0) & rich(X0))) [input p7]
13. ! [X0] : (~wise(X0) <=> (calm(X0) <~> ~tall(X0... | 0 |
If someone is both not funny and wise then john is not happy or creative.
If alice is either not happy or old then someone is wise or strong and vice versa.
If lucy is either patient or not quiet then mary is both not patient and not funny.
If alice is patient or not patient then someone is not wise or patient.
If john... | Mary is not calm. | entailment | ((?[X]:((~funny(X)&wise(X))))=>((~happy(john)|creative(john))))&
(((~happy(alice)<~>old(alice)))<=>(?[X]:((wise(X)|strong(X)))))&
(((patient(lucy)<~>~quiet(lucy)))=>((~patient(mary)&~funny(mary))))&
(((patient(alice)|~patient(alice)))=>(?[X]:((~wise(X)|patient(X)))))&
(((~creative(john)|calm(john)))<=>((tall(susan)<~>w... | ~calm(mary) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5546654908350694724449707
% SZS output start Proof for 5546654908350694724449707
11. ! [X0] : (happy(X0) <=> (calm(X0) | wise(X0))) [input p10]
22. ~happy(mary) [input p21]
25. calm(mary) [input hypothesis]
55. ! [X0] : ((happy(X0) | (~calm(X0) & ~wise(X0))) & ((calm(X0) | wise(X0)) | ~ha... | 0 |
Everyone who is both not quiet and not happy is not kind and vice versa.
If someone is both not strong and old then someone is either not kind or not curious.
If someone is wise or not generous then alice is kind or not quiet and vice versa.
Everyone who is not funny is humble and vice versa.
If someone is old or not f... | John is not kind. | contradiction | (![X]:((~quiet(X)&~happy(X))<=>~kind(X)))&
((?[X]:((~strong(X)&old(X))))=>(?[X]:((~kind(X)<~>~curious(X)))))&
((?[X]:((wise(X)|~generous(X))))<=>((kind(alice)|~quiet(alice))))&
(![X]:(~funny(X)<=>humble(X)))&
((?[X]:((old(X)|~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((brave(X)<~>~rich(X)))))... | ~kind(john) | [
"p0",
"p3",
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4711446280654718790842372
% SZS output start Proof for 4711446280654718790842372
1. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : (~funny(X0) <=> humble(X0)) [input p3]
7. ! [X0] : (~quiet(X0) => (curious(X0) & ~brave(X0))) [input p6]
9. ? [X0] : (curious(X0) &... | 0 |
Everyone who is rich or not creative is either rich or not happy.
If fred is either rich or calm then alice is both wise and not humble and vice versa.
Everyone who is either curious or quiet is not tall or creative.
If someone is either not patient or wise then paul is patient and vice versa.
Everyone who is not gener... | Mary is curious. | contradiction | (![X]:((rich(X)|~creative(X))=>(rich(X)<~>~happy(X))))&
(((rich(fred)<~>calm(fred)))<=>((wise(alice)&~humble(alice))))&
(![X]:((curious(X)<~>quiet(X))=>(~tall(X)|creative(X))))&
((?[X]:((~patient(X)<~>wise(X))))<=>(patient(paul)))&
(![X]:((~generous(X)|wise(X))=>(humble(X)|~humble(X))))&
(![X]:((happy(X)&tall(X))=>humb... | curious(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5698838623645118141341459
% SZS output start Proof for 5698838623645118141341459
18. ~curious(mary) & ~rich(mary) [input p17]
25. curious(mary) [input hypothesis]
123. ~curious(mary) [cnf transformation 18]
132. curious(mary) [cnf transformation 25]
274. $false [subsumption resolution 132... | 0 |
Everyone who is both generous and not calm is not kind and vice versa. Everyone who is quiet is patient or curious. If someone is either not strong or not creative then someone is either humble or not curious. Everyone who is not curious is calm or patient and vice versa. Everyone who is both old and not brave is eithe... | Fred is wise. | contradiction | (![X]:((generous(X)&~calm(X))<=>~kind(X)))&
(![X]:(quiet(X)=>(patient(X)|curious(X))))&
((?[X]:((~strong(X)<~>~creative(X))))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>(calm(X)|patient(X))))&
(![X]:((old(X)&~brave(X))<=>(creative(X)<~>~old(X))))&
(![X]:((creative(X)&~generous(X))<=>old(X)))&
(![X]:((ol... | wise(fred) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2812242214658131142709571
% SZS output start Proof for 2812242214658131142709571
1. ! [X0] : ((~calm(X0) & generous(X0)) <=> ~kind(X0)) [input p0]
5. ! [X0] : ((~brave(X0) & old(X0)) <=> (creative(X0) <~> ~old(X0))) [input p4]
6. ! [X0] : ((~generous(X0) & creative(X0)) <=> old(X0)) [inpu... | 0 |
Everyone who is not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is ei... | Lucy is not quiet. | entailment | (![X]:(~wise(X)<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~... | ~quiet(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6643363478936644771325085
% SZS output start Proof for 6643363478936644771325085
12. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p11]
24. quiet(lucy) [input hypothesis]
25. ? [X0] : (~old(X0) | quiet(X0)) => ? [X1] : (wise(X1) & ~wise(X1)) [rectify 12]
33. ? ... | 0 |
If someone is both brave and old then paul is both not brave and not quiet.
If susan is not rich or tall then someone is calm and vice versa.
If susan is either not quiet or not happy then someone is either brave or quiet and vice versa.
Everyone who is not generous or not rich is both funny and not old and vice versa.... | Lucy is not old. | contradiction | ((?[X]:((brave(X)&old(X))))=>((~brave(paul)&~quiet(paul))))&
(((~rich(susan)|tall(susan)))<=>(?[X]:(calm(X))))&
(((~quiet(susan)<~>~happy(susan)))<=>(?[X]:((brave(X)<~>quiet(X)))))&
(![X]:((~generous(X)|~rich(X))<=>(funny(X)&~old(X))))&
(![X]:((wise(X)<~>rich(X))=>(kind(X)&~rich(X))))&
(![X]:((kind(X)<~>tall(X))<=>(fun... | ~old(lucy) | [
"p3",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 881978299841837127187345
% SZS output start Proof for 881978299841837127187345
4. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> (~old(X0) & funny(X0))) [input p3]
8. ! [X0] : ((~old(X0) | ~generous(X0)) => (happy(X0) & ~generous(X0))) [input p7]
12. ! [X0] : ((~tall(X0) & generous(X0)) <=> (~... | 0 |
Everyone who is not old or not brave is both not old and creative and vice versa.
Everyone who is either not quiet or wise is not rich and vice versa.
If someone is either curious or not generous then someone is both funny and not humble and vice versa.
Everyone who is both not curious and not wise is not happy and vic... | Paul is kind. | neutral | (![X]:((~old(X)|~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>~rich(X)))&
((?[X]:((curious(X)<~>~generous(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:((~curious(X)&~wise(X))<=>~happy(X)))&
(((~rich(lucy)<~>patient(lucy)))<=>((curious(lucy)|humble(lucy))))&
(![X]:((kind(X)&old(X))<=>funny(X)))&... | kind(paul) | [] | null | 0 |
If someone is not happy or not wise then paul is either not kind or wise and vice versa. Everyone who is not funny or not humble is not creative or wise and vice versa. Everyone who is not happy is not creative or funny. Everyone who is not funny is patient or not kind. If someone is not generous then fred is rich. If ... | Fred is creative. | neutral | ((?[X]:((~happy(X)|~wise(X))))<=>((~kind(paul)<~>wise(paul))))&
(![X]:((~funny(X)|~humble(X))<=>(~creative(X)|wise(X))))&
(![X]:(~happy(X)=>(~creative(X)|funny(X))))&
(![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(!... | creative(fred) | [] | null | 0 |
Everyone who is either not humble or tall is either creative or calm and vice versa.
Everyone who is kind or brave is either wise or not brave.
If someone is not patient or not quiet then mary is either generous or not rich and vice versa.
If susan is not tall then someone is kind.
If someone is not old or not funny th... | Susan is not tall. | contradiction | (![X]:((~humble(X)<~>tall(X))<=>(creative(X)<~>calm(X))))&
(![X]:((kind(X)|brave(X))=>(wise(X)<~>~brave(X))))&
((?[X]:((~patient(X)|~quiet(X))))<=>((generous(mary)<~>~rich(mary))))&
((~tall(susan))=>(?[X]:(kind(X))))&
((?[X]:((~old(X)|~funny(X))))=>(?[X]:((~happy(X)<~>~wise(X)))))&
(![X]:((~creative(X)&~tall(X))=>(happ... | ~tall(susan) | [
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1657504086736623275238250
% SZS output start Proof for 1657504086736623275238250
6. ! [X0] : ((~tall(X0) & ~creative(X0)) => (quiet(X0) & happy(X0))) [input p5]
10. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> ~happy(X0)) [input p9]
13. ! [X0] : ((patient(X0) | creative(X0)) <=> (tall(X0) & ~hum... | 0 |
Everyone who is not curious or strong is either not brave or not humble and vice versa.
Everyone who is not generous or not humble is funny or not old and vice versa.
If paul is both not brave and brave then someone is either not curious or kind and vice versa.
Everyone who is funny is both not generous and not tall an... | Mary is not rich. | neutral | (![X]:((~curious(X)|strong(X))<=>(~brave(X)<~>~humble(X))))&
(![X]:((~generous(X)|~humble(X))<=>(funny(X)|~old(X))))&
(((~brave(paul)&brave(paul)))<=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:(funny(X)<=>(~generous(X)&~tall(X))))&
((?[X]:(~happy(X)))<=>((rich(paul)|~strong(paul))))&
((?[X]:(creative(X)))<=>((~humble(fre... | ~rich(mary) | [] | null | 0 |
If john is tall or not creative then someone is not old.
Everyone who is either quiet or not brave is not brave and vice versa.
Everyone who is not old is not generous and vice versa.
Everyone who is either old or patient is rich or not funny and vice versa.
Everyone who is either generous or not wise is not calm and v... | Mary is kind. | entailment | (((tall(john)|~creative(john)))=>(?[X]:(~old(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>~brave(X)))&
(![X]:(~old(X)<=>~generous(X)))&
(![X]:((old(X)<~>patient(X))<=>(rich(X)|~funny(X))))&
(![X]:((generous(X)<~>~wise(X))<=>~calm(X)))&
(![X]:(~tall(X)<=>(~generous(X)&humble(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(curious... | kind(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 426985883538502017178718
% SZS output start Proof for 426985883538502017178718
10. ! [X0] : ((brave(X0) | ~brave(X0)) <=> kind(X0)) [input p9]
21. ~kind(mary) [input hypothesis]
43. ! [X0] : (((brave(X0) | ~brave(X0)) | ~kind(X0)) & (kind(X0) | (~brave(X0) & brave(X0)))) [nnf transformati... | 0 |
If mary is either not strong or not old then john is either not humble or brave and vice versa.
Everyone who is not kind is both happy and not kind.
If someone is both not kind and not rich then someone is not rich or not humble and vice versa.
Everyone who is either calm or tall is humble or creative and vice versa.
I... | Mary is brave. | contradiction | (((~strong(mary)<~>~old(mary)))<=>((~humble(john)<~>brave(john))))&
(![X]:(~kind(X)=>(happy(X)&~kind(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((calm(X)<~>tall(X))<=>(humble(X)|creative(X))))&
(((~wise(fred)&kind(fred)))<=>(?[X]:(~brave(X))))&
((rich(alice))=>((old(alice)<~>~curious(... | brave(mary) | [
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7225836411463868656383978
% SZS output start Proof for 7225836411463868656383978
10. ! [X0] : (funny(X0) <=> (~wise(X0) & kind(X0))) [input p9]
13. ! [X0] : ((~strong(X0) | brave(X0)) => (~brave(X0) <~> funny(X0))) [input p12]
16. ! [X0] : ((brave(X0) | curious(X0)) <=> (~kind(X0) & brave... | 0 |
If someone is kind or not old then someone is both not generous and happy.
Everyone who is not brave or creative is both not rich and not wise and vice versa.
If someone is either not patient or calm then someone is both happy and not calm.
Everyone who is kind or not happy is both wise and not old and vice versa.
If s... | Paul is brave. | entailment | ((?[X]:((kind(X)|~old(X))))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:((~brave(X)|creative(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((kind(X)|~happy(X))<=>(wise(X)&~old(X))))&
((?[X]:(~kind(X)))<=>((patient(alice)|~brave(alice))))&
(![X]:((~creative(X)|old(X))... | brave(paul) | [
"p1",
"p3",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5265289568461610070782412
% SZS output start Proof for 5265289568461610070782412
2. ! [X0] : ((creative(X0) | ~brave(X0)) <=> (~wise(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | kind(X0)) <=> (~old(X0) & wise(X0))) [input p3]
6. ! [X0] : ((old(X0) | ~creative(X0)) <=> (~strong(... | 0 |
If mary is either curious or calm then someone is both not curious and not brave and vice versa.
If alice is humble or not humble then someone is not happy or not old.
Everyone who is not funny or curious is not strong and vice versa.
Everyone who is not funny is both not tall and not patient.
Everyone who is both not ... | Mary is not funny. | contradiction | (((curious(mary)<~>calm(mary)))<=>(?[X]:((~curious(X)&~brave(X)))))&
(((humble(alice)|~humble(alice)))=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((~funny(X)|curious(X))<=>~strong(X)))&
(![X]:(~funny(X)=>(~tall(X)&~patient(X))))&
(![X]:((~tall(X)&generous(X))<=>(~humble(X)|brave(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((o... | ~funny(mary) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7147386215523403657677714
% SZS output start Proof for 7147386215523403657677714
4. ! [X0] : (~funny(X0) => (~patient(X0) & ~tall(X0))) [input p3]
14. ! [X0] : (~quiet(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p13]
23. ~funny(mary) [input hypothesis]
30. ! [X0] : ((~patient(X0) & ~tall(X... | 0 |
Everyone who is either patient or calm is not creative or not rich. Everyone who is either not kind or not old is strong or kind and vice versa. Everyone who is either not tall or not happy is humble and vice versa. If lucy is patient or not strong then john is not old and vice versa. If someone is both kind and not qu... | Lucy is old. | contradiction | (![X]:((patient(X)<~>calm(X))=>(~creative(X)|~rich(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(strong(X)|kind(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>humble(X)))&
(((patient(lucy)|~strong(lucy)))<=>(~old(john)))&
((?[X]:((kind(X)&~quiet(X))))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)&curious(... | old(lucy) | [
"p1",
"p7",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8151560753235934205529958
% SZS output start Proof for 8151560753235934205529958
2. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> (kind(X0) | strong(X0))) [input p1]
8. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (~creative(X0) & ~patient(X0))) [input p7]
13. ! [X0] : ((calm(X0) | wise(X0)) => (~w... | 0 |
If someone is not creative or not calm then someone is either wise or not rich. If someone is humble then john is not quiet or patient and vice versa. Everyone who is both kind and quiet is not funny and vice versa. If someone is both brave and calm then alice is both rich and patient. If fred is either wise or not old... | Mary is not funny. | contradiction | ((?[X]:((~creative(X)|~calm(X))))=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:(humble(X)))<=>((~quiet(john)|patient(john))))&
(![X]:((kind(X)&quiet(X))<=>~funny(X)))&
((?[X]:((brave(X)&calm(X))))=>((rich(alice)&patient(alice))))&
(((wise(fred)<~>~old(fred)))<=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((generous(X)<~>~gene... | ~funny(mary) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9112803787790853508523017
% SZS output start Proof for 9112803787790853508523017
3. ! [X0] : ((quiet(X0) & kind(X0)) <=> ~funny(X0)) [input p2]
19. ~kind(mary) & ~brave(mary) [input p18]
25. ~funny(mary) [input hypothesis]
47. ! [X0] : (((quiet(X0) & kind(X0)) | funny(X0)) & (~funny(X0) |... | 0 |
Everyone who is creative is not humble or not kind and vice versa.
If alice is wise then mary is either kind or strong.
If someone is both humble and not humble then susan is tall.
Everyone who is not brave or happy is both kind and not strong.
If someone is creative then mary is either brave or creative.
Everyone who ... | John is not creative. | contradiction | (![X]:(creative(X)<=>(~humble(X)|~kind(X))))&
((wise(alice))=>((kind(mary)<~>strong(mary))))&
((?[X]:((humble(X)&~humble(X))))=>(tall(susan)))&
(![X]:((~brave(X)|happy(X))=>(kind(X)&~strong(X))))&
((?[X]:(creative(X)))=>((brave(mary)<~>creative(mary))))&
(![X]:((brave(X)&~old(X))<=>(~calm(X)<~>tall(X))))&
((?[X]:((~hum... | ~creative(john) | [
"p0",
"p5",
"p9",
"p10",
"p12",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4254879034168376404652779
% SZS output start Proof for 4254879034168376404652779
1. ! [X0] : (creative(X0) <=> (~kind(X0) | ~humble(X0))) [input p0]
6. ! [X0] : ((~old(X0) & brave(X0)) <=> (~calm(X0) <~> tall(X0))) [input p5]
10. ! [X0] : ((humble(X0) & calm(X0)) <=> (humble(X0) & old(X0)... | 0 |
Everyone who is generous is either not strong or calm.
If someone is both not curious and generous then john is both strong and wise.
Everyone who is both not quiet and generous is both not tall and wise.
If john is old then susan is not funny or not brave.
Everyone who is not wise or not tall is not rich or not patien... | Alice is wise. | contradiction | (![X]:(generous(X)=>(~strong(X)<~>calm(X))))&
((?[X]:((~curious(X)&generous(X))))=>((strong(john)&wise(john))))&
(![X]:((~quiet(X)&generous(X))=>(~tall(X)&wise(X))))&
((old(john))=>((~funny(susan)|~brave(susan))))&
(![X]:((~wise(X)|~tall(X))<=>(~rich(X)|~patient(X))))&
(![X]:(wise(X)=>(creative(X)&humble(X))))&
((?[X]:... | wise(alice) | [
"p0",
"p5",
"p8",
"p9",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 518128616047958593845381
% SZS output start Proof for 518128616047958593845381
1. ! [X0] : (generous(X0) => (~strong(X0) <~> calm(X0))) [input p0]
6. ! [X0] : (wise(X0) => (humble(X0) & creative(X0))) [input p5]
9. ! [X0] : ((~happy(X0) <~> ~strong(X0)) => (humble(X0) <~> generous(X0))) [... | 0 |
If someone is either rich or funny then someone is either not tall or not old and vice versa.
If mary is both not kind and curious then fred is brave.
If susan is either not wise or brave then alice is quiet or not humble and vice versa.
Everyone who is happy or generous is quiet or patient and vice versa.
Everyone who... | Fred is wise. | entailment | ((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(((~kind(mary)&curious(mary)))=>(brave(fred)))&
(((~wise(susan)<~>brave(susan)))<=>((quiet(alice)|~humble(alice))))&
(![X]:((happy(X)|generous(X))<=>(quiet(X)|patient(X))))&
(![X]:(generous(X)<=>(strong(X)|humble(X))))&
(((~wise(mary)|~funny(mary)))=>(?[X... | wise(fred) | [
"p4",
"p8",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1776362437464903416223335
% SZS output start Proof for 1776362437464903416223335
5. ! [X0] : (generous(X0) <=> (humble(X0) | strong(X0))) [input p4]
9. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~wise(X0))) [input p8]
13. ? [X0] : ~humble(X0) => ~brave(susan) [input p12]
14. ! [X0] : (~wis... | 0 |
Everyone who is curious or not curious is strong.
If lucy is both quiet and not funny then someone is not tall.
Everyone who is not humble is both happy and rich and vice versa.
Everyone who is rich or not quiet is either creative or not happy and vice versa.
If susan is not kind or not generous then someone is both no... | Susan is not quiet. | entailment | (![X]:((curious(X)|~curious(X))=>strong(X)))&
(((quiet(lucy)&~funny(lucy)))=>(?[X]:(~tall(X))))&
(![X]:(~humble(X)<=>(happy(X)&rich(X))))&
(![X]:((rich(X)|~quiet(X))<=>(creative(X)<~>~happy(X))))&
(((~kind(susan)|~generous(susan)))<=>(?[X]:((~strong(X)&funny(X)))))&
((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((humble(X)&... | ~quiet(susan) | [
"p8",
"p10",
"p13",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1132869681771726121407031
% SZS output start Proof for 1132869681771726121407031
9. ! [X0] : (quiet(X0) => funny(X0)) [input p8]
11. ! [X0] : ((~wise(X0) | calm(X0)) <=> (~happy(X0) & wise(X0))) [input p10]
14. ? [X0] : (~quiet(X0) | ~rich(X0)) => (~funny(susan) <~> rich(susan)) [input p1... | 0 |
Everyone who is either calm or funny is both not kind and not quiet and vice versa. Everyone who is both not funny and not curious is either happy or old. If someone is not strong or tall then someone is either brave or not old and vice versa. Everyone who is not calm or not patient is happy or brave and vice versa. Ev... | Lucy is not kind. | neutral | (![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~quiet(X))))&
(![X]:((~funny(X)&~curious(X))=>(happy(X)<~>old(X))))&
((?[X]:((~strong(X)|tall(X))))<=>(?[X]:((brave(X)<~>~old(X)))))&
(![X]:((~calm(X)|~patient(X))<=>(happy(X)|brave(X))))&
(![X]:(wise(X)=>strong(X)))&
(((~creative(mary)<~>funny(mary)))=>((tall(alice)<~>~happy(ali... | ~kind(lucy) | [] | null | 0 |
Everyone who is patient or not quiet is both not curious and patient and vice versa.
Everyone who is both brave and tall is either not calm or quiet.
If someone is either generous or humble then someone is not humble and vice versa.
Everyone who is either not strong or not kind is not creative and vice versa.
If mary i... | Fred is curious. | contradiction | (![X]:((patient(X)|~quiet(X))<=>(~curious(X)&patient(X))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)<~>quiet(X))))&
((?[X]:((generous(X)<~>humble(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~strong(X)<~>~kind(X))<=>~creative(X)))&
(((old(mary)<~>strong(mary)))=>(humble(fred)))&
((?[X]:((creative(X)&curious(X))))=>(tall(lucy)))&
... | curious(fred) | [
"p0",
"p3",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6358217844205177157866059
% SZS output start Proof for 6358217844205177157866059
1. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (patient(X0) & ~curious(X0))) [input p0]
4. ! [X0] : ((~strong(X0) <~> ~kind(X0)) <=> ~creative(X0)) [input p3]
10. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (~wise(X... | 0 |
If someone is either not creative or tall then alice is either not strong or wise and vice versa.
If someone is either tall or not funny then someone is either not humble or rich and vice versa.
If someone is rich or not wise then lucy is either not calm or patient and vice versa.
Everyone who is either rich or not qui... | Lucy is not calm. | entailment | ((?[X]:((~creative(X)<~>tall(X))))<=>((~strong(alice)<~>wise(alice))))&
((?[X]:((tall(X)<~>~funny(X))))<=>(?[X]:((~humble(X)<~>rich(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~calm(lucy)<~>patient(lucy))))&
(![X]:((rich(X)<~>~quiet(X))=>(~wise(X)<~>quiet(X))))&
((?[X]:((~brave(X)<~>~old(X))))=>(?[X]:(rich(X))))&
(((~quie... | ~calm(lucy) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1657388171150169085103975
% SZS output start Proof for 1657388171150169085103975
3. ? [X0] : (~wise(X0) | rich(X0)) <=> (~calm(lucy) <~> patient(lucy)) [input p2]
5. ? [X0] : (~brave(X0) <~> ~old(X0)) => ? [X0] : rich(X0) [input p4]
7. (~kind(fred) & humble(fred)) <=> ? [X0] : (brave(X0) ... | 0 |
Everyone who is either old or brave is both not calm and not tall and vice versa.
If someone is either not old or humble then alice is patient or not humble and vice versa.
Everyone who is either calm or funny is not creative and vice versa.
Everyone who is generous or not tall is not generous and vice versa.
If someon... | Paul is generous. | contradiction | (![X]:((old(X)<~>brave(X))<=>(~calm(X)&~tall(X))))&
((?[X]:((~old(X)<~>humble(X))))<=>((patient(alice)|~humble(alice))))&
(![X]:((calm(X)<~>funny(X))<=>~creative(X)))&
(![X]:((generous(X)|~tall(X))<=>~generous(X)))&
((?[X]:((generous(X)&~creative(X))))<=>(?[X]:(~quiet(X))))&
(((generous(john)|wise(john)))<=>(?[X]:(rich... | generous(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 156424172454652278402129
% SZS output start Proof for 156424172454652278402129
4. ! [X0] : ((~tall(X0) | generous(X0)) <=> ~generous(X0)) [input p3]
24. generous(paul) [input hypothesis]
40. ! [X0] : (((~tall(X0) | generous(X0)) | generous(X0)) & (~generous(X0) | (tall(X0) & ~generous(X0)... | 0 |
If someone is calm then someone is strong or humble and vice versa.
If someone is both calm and humble then someone is either rich or not quiet.
If someone is both kind and not patient then someone is both tall and not old.
If someone is not generous or generous then fred is either rich or not patient and vice versa.
E... | Fred is not humble. | entailment | ((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]:((~old(X)&~strong(X))<=>(~rich(X)|strong(X))))&
((?[X]:(wise(X... | ~humble(fred) | [
"p0",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4574088035722940349828138
% SZS output start Proof for 4574088035722940349828138
1. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p0]
12. ! [X0] : (~brave(X0) => (~brave(X0) & ~calm(X0))) [input p11]
13. ! [X0] : ((~humble(X0) | calm(X0)) => (~brave(X0) <~> ~calm(X0))) [... | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Susan is calm. | contradiction | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | calm(susan) | [
"p1",
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7207565082838463595841496
% SZS output start Proof for 7207565082838463595841496
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
8. ! [X0] : ((calm(X0) | curious(X0)) <=> (old(X0) & wise(X0))) [input p7]
11. ? [X0] : (funn... | 0 |
If fred is both happy and brave then lucy is either patient or not patient and vice versa.
If lucy is not old then someone is patient or curious and vice versa.
Everyone who is funny or not humble is both not brave and not creative.
If someone is both not strong and not kind then paul is either old or not tall and vice... | Fred is happy. | entailment | (((happy(fred)&brave(fred)))<=>((patient(lucy)<~>~patient(lucy))))&
((~old(lucy))<=>(?[X]:((patient(X)|curious(X)))))&
(![X]:((funny(X)|~humble(X))=>(~brave(X)&~creative(X))))&
((?[X]:((~strong(X)&~kind(X))))<=>((old(paul)<~>~tall(paul))))&
(![X]:((wise(X)<~>strong(X))=>creative(X)))&
(![X]:((~old(X)&patient(X))<=>(~fu... | happy(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6871919990073487446843897
% SZS output start Proof for 6871919990073487446843897
1. (brave(fred) & happy(fred)) <=> (patient(lucy) <~> ~patient(lucy)) [input p0]
25. ~happy(fred) [input hypothesis]
34. ((brave(fred) & happy(fred)) | ((patient(lucy) | patient(lucy)) & (~patient(lucy) | ~pa... | 0 |
If someone is either funny or not tall then someone is patient. If paul is not humble then paul is not strong. If fred is happy then someone is both funny and not curious and vice versa. Everyone who is both kind and not strong is curious or happy and vice versa. Everyone who is both strong and calm is not strong or no... | Fred is quiet. | neutral | ((?[X]:((funny(X)<~>~tall(X))))=>(?[X]:(patient(X))))&
((~humble(paul))=>(~strong(paul)))&
((happy(fred))<=>(?[X]:((funny(X)&~curious(X)))))&
(![X]:((kind(X)&~strong(X))<=>(curious(X)|happy(X))))&
(![X]:((strong(X)&calm(X))<=>(~strong(X)|~generous(X))))&
(![X]:((~rich(X)<~>~calm(X))=>(~humble(X)&strong(X))))&
(![X]:((~... | quiet(fred) | [] | null | 0 |
If fred is both curious and not patient then john is not old or tall and vice versa.
If fred is strong or not tall then someone is wise or not generous.
Everyone who is either kind or funny is old.
Everyone who is both not wise and not calm is both not calm and not patient and vice versa.
If someone is quiet then john ... | Susan is wise. | entailment | (((curious(fred)&~patient(fred)))<=>((~old(john)|tall(john))))&
(((strong(fred)|~tall(fred)))=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:((kind(X)<~>funny(X))=>old(X)))&
(![X]:((~wise(X)&~calm(X))<=>(~calm(X)&~patient(X))))&
((?[X]:(quiet(X)))=>((kind(john)<~>~brave(john))))&
((?[X]:((wise(X)|patient(X))))<=>((wise(susan... | wise(susan) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4932859287698989703535371
% SZS output start Proof for 4932859287698989703535371
6. ? [X0] : (patient(X0) | wise(X0)) <=> (~rich(susan) & wise(susan)) [input p5]
21. ? [X0] : (old(X0) & wise(X0)) [input p20]
25. ~wise(susan) [input hypothesis]
45. (? [X0] : (patient(X0) | wise(X0)) | (ric... | 0 |
If someone is either not creative or not kind then mary is not curious or not calm.
Everyone who is not brave or funny is brave or not generous.
If mary is not patient then someone is not rich.
Everyone who is kind or not generous is humble and vice versa.
Everyone who is both old and not kind is either not quiet or no... | John is funny. | neutral | ((?[X]:((~creative(X)<~>~kind(X))))=>((~curious(mary)|~calm(mary))))&
(![X]:((~brave(X)|funny(X))=>(brave(X)|~generous(X))))&
((~patient(mary))=>(?[X]:(~rich(X))))&
(![X]:((kind(X)|~generous(X))<=>humble(X)))&
(![X]:((old(X)&~kind(X))<=>(~quiet(X)<~>~patient(X))))&
(((wise(paul)&humble(paul)))<=>((~rich(lucy)<~>brave(l... | funny(john) | [] | null | 0 |
Everyone who is both not kind and old is quiet and vice versa.
If fred is either old or generous then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy... | Lucy is not brave. | contradiction | (![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>generous(fred)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))... | ~brave(lucy) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8626376955755721636385410
% SZS output start Proof for 8626376955755721636385410
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (tall(X0) <~> ~tall(X0))) [input p7]
20. ~brave(lucy) <~> funny(lucy) [input p19]
22. ~brave(lucy) [input hypothesis]
45. ! [X0] : (((calm(X0) & funny(X0)) | ((tall(X0)... | 0 |
Everyone who is brave is either not tall or generous.
Everyone who is not humble or wise is both not wise and not happy and vice versa.
If lucy is creative then alice is both not patient and not calm.
If john is both not humble and strong then paul is either humble or kind.
If john is either not tall or not humble then... | Lucy is not strong. | contradiction | (![X]:(brave(X)=>(~tall(X)<~>generous(X))))&
(![X]:((~humble(X)|wise(X))<=>(~wise(X)&~happy(X))))&
((creative(lucy))=>((~patient(alice)&~calm(alice))))&
(((~humble(john)&strong(john)))=>((humble(paul)<~>kind(paul))))&
(((~tall(john)<~>~humble(john)))=>((kind(susan)<~>tall(susan))))&
((?[X]:((patient(X)&old(X))))<=>(?[X... | ~strong(lucy) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5741900827284690071823111
% SZS output start Proof for 5741900827284690071823111
2. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (~happy(X0) & ~wise(X0))) [input p1]
7. ! [X0] : (~generous(X0) => (quiet(X0) & ~brave(X0))) [input p6]
8. ! [X0] : (~humble(X0) => creative(X0)) [input p7]
9. ! [X0]... | 0 |
Everyone who is not kind is not patient or not strong and vice versa.
Everyone who is not old is either not curious or old.
If someone is both not rich and not generous then alice is not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone ... | Alice is brave. | contradiction | (![X]:(~kind(X)<=>(~patient(X)|~strong(X))))&
(![X]:(~old(X)=>(~curious(X)<~>old(X))))&
((?[X]:((~rich(X)&~generous(X))))=>(~strong(alice)))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))... | brave(alice) | [
"p3",
"p5",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 340623041717874385467119
% SZS output start Proof for 340623041717874385467119
4. ! [X0] : ((~curious(X0) | happy(X0)) <=> (brave(X0) <~> ~humble(X0))) [input p3]
6. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (quiet(X0) & ~creative(X0))) [input p5]
8. ! [X0] : (curious(X0) <=> (curious(X0)... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either humble or not curious and vice versa.
If alice is either funny or not patient then lucy is rich and vice versa.
Everyone who is either creative or not curious is kind.
If someone is either creativ... | Fred is happy. | entailment | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((humble(paul)<~>~curious(paul))))&
(((funny(alice)<~>~patient(alice)))<=>(rich(lucy)))&
(![X]:((creative(X)<~>~curious(X))=>kind(X)))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(... | happy(fred) | [
"p0",
"p6",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8039303257636785439811056
% SZS output start Proof for 8039303257636785439811056
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
7. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p6]
8. ! [X0] : (~quiet(X0) <=> (patient(X0) | ~c... | 0 |
Everyone who is patient or creative is not patient and vice versa. If someone is generous then someone is brave and vice versa. Everyone who is both old and happy is both not patient and not strong. Everyone who is not patient is both not rich and curious. Everyone who is happy is either not strong or not generous. If ... | Alice is not old. | entailment | (![X]:((patient(X)|creative(X))<=>~patient(X)))&
((?[X]:(generous(X)))<=>(?[X]:(brave(X))))&
(![X]:((old(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:(~patient(X)=>(~rich(X)&curious(X))))&
(![X]:(happy(X)=>(~strong(X)<~>~generous(X))))&
(((brave(john)&~humble(john)))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((stron... | ~old(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 111114092059495737237122
% SZS output start Proof for 111114092059495737237122
13. ! [X0] : ((old(X0) | tall(X0)) => (~old(X0) & humble(X0))) [input p12]
22. old(alice) [input hypothesis]
34. ! [X0] : ((~old(X0) & humble(X0)) | (~old(X0) & ~tall(X0))) [ennf transformation 13]
101. ~old(X0... | 0 |
If mary is wise then susan is not humble.
If someone is either tall or patient then someone is not rich or not quiet.
Everyone who is both not funny and patient is not generous or generous and vice versa.
If someone is both not happy and not quiet then alice is not funny.
If someone is not humble then someone is both n... | Alice is not generous. | neutral | ((wise(mary))=>(~humble(susan)))&
((?[X]:((tall(X)<~>patient(X))))=>(?[X]:((~rich(X)|~quiet(X)))))&
(![X]:((~funny(X)&patient(X))<=>(~generous(X)|generous(X))))&
((?[X]:((~happy(X)&~quiet(X))))=>(~funny(alice)))&
((?[X]:(~humble(X)))=>(?[X]:((~curious(X)&tall(X)))))&
((?[X]:((~brave(X)<~>~tall(X))))<=>(?[X]:((~happy(X)... | ~generous(alice) | [] | null | 0 |
If paul is not tall then lucy is not strong and vice versa. If someone is not generous or humble then someone is both happy and not rich and vice versa. Everyone who is not old is either not funny or generous. Everyone who is happy is both not old and not patient and vice versa. Everyone who is both not creative and ol... | Fred is strong. | entailment | ((~tall(paul))<=>(~strong(lucy)))&
((?[X]:((~generous(X)|humble(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:(~old(X)=>(~funny(X)<~>generous(X))))&
(![X]:(happy(X)<=>(~old(X)&~patient(X))))&
(![X]:((~creative(X)&old(X))<=>(~patient(X)<~>~old(X))))&
(![X]:((tall(X)<~>~funny(X))=>(calm(X)<~>old(X))))&
(![X]:((~curious(X)... | strong(fred) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4103291142459397992893252
% SZS output start Proof for 4103291142459397992893252
7. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & generous(X0))) [input p6]
9. (~generous(mary) & ~old(mary)) <=> ~strong(fred) [input p8]
13. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> (brave(X0)... | 0 |
If someone is either not quiet or strong then alice is both not quiet and kind and vice versa.
If mary is either kind or not wise then mary is either not patient or kind and vice versa.
Everyone who is both rich and patient is not old or tall and vice versa.
If someone is both funny and not funny then fred is not calm.... | Susan is quiet. | entailment | ((?[X]:((~quiet(X)<~>strong(X))))<=>((~quiet(alice)&kind(alice))))&
(((kind(mary)<~>~wise(mary)))<=>((~patient(mary)<~>kind(mary))))&
(![X]:((rich(X)&patient(X))<=>(~old(X)|tall(X))))&
((?[X]:((funny(X)&~funny(X))))=>(~calm(fred)))&
(![X]:((~curious(X)|~wise(X))<=>(~curious(X)|generous(X))))&
(![X]:((old(X)|~kind(X))=>... | quiet(susan) | [
"p2",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6729877146424165460194234
% SZS output start Proof for 6729877146424165460194234
3. ! [X0] : ((patient(X0) & rich(X0)) <=> (tall(X0) | ~old(X0))) [input p2]
10. ! [X0] : (~old(X0) <=> (~quiet(X0) | wise(X0))) [input p9]
14. ! [X0] : (~patient(X0) <=> (creative(X0) <~> old(X0))) [input p13... | 0 |
Everyone who is both rich and not generous is wise or not creative. If someone is strong or generous then someone is not funny or not rich and vice versa. Everyone who is either humble or not humble is either kind or not brave and vice versa. Everyone who is wise or not strong is not old or happy and vice versa. Everyo... | John is humble. | neutral | (![X]:((rich(X)&~generous(X))=>(wise(X)|~creative(X))))&
((?[X]:((strong(X)|generous(X))))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((humble(X)<~>~humble(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((wise(X)|~strong(X))<=>(~old(X)|happy(X))))&
(![X]:((~brave(X)&wise(X))=>(curious(X)&~strong(X))))&
(![X]:((~patient(X)&quiet(X))... | humble(john) | [] | null | 0 |
Everyone who is either wise or not rich is either curious or not wise.
Everyone who is generous or kind is either old or curious.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kin... | Mary is tall. | neutral | (![X]:((wise(X)<~>~rich(X))=>(curious(X)<~>~wise(X))))&
(![X]:((generous(X)|kind(X))=>(old(X)<~>curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(!... | tall(mary) | [] | null | 0 |
If someone is not brave or curious then someone is either not funny or rich.
If someone is funny or not patient then john is not calm or old.
If someone is tall then paul is not happy.
If mary is either old or kind then someone is quiet or not calm and vice versa.
Everyone who is wise or not tall is not strong and vice... | Fred is not brave. | neutral | ((?[X]:((~brave(X)|curious(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
((?[X]:((funny(X)|~patient(X))))=>((~calm(john)|old(john))))&
((?[X]:(tall(X)))=>(~happy(paul)))&
(((old(mary)<~>kind(mary)))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((wise(X)|~tall(X))<=>~strong(X)))&
(![X]:((kind(X)&generous(X))<=>(~calm(X)&~tall(X))))... | ~brave(fred) | [] | null | 0 |
Everyone who is either not old or old is not brave or not rich. If john is not humble then mary is either not humble or humble. If someone is both rich and quiet then someone is either wise or not happy and vice versa. Everyone who is not creative or not patient is both humble and not brave and vice versa. If mary is n... | Mary is not humble. | neutral | (![X]:((~old(X)<~>old(X))=>(~brave(X)|~rich(X))))&
((~humble(john))=>((~humble(mary)<~>humble(mary))))&
((?[X]:((rich(X)&quiet(X))))<=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((~creative(X)|~patient(X))<=>(humble(X)&~brave(X))))&
((~kind(mary))<=>((~wise(mary)<~>~generous(mary))))&
(![X]:((~creative(X)<~>strong(X))<=>(~... | ~humble(mary) | [] | null | 0 |
Everyone who is either kind or not kind is not wise. Everyone who is old or not quiet is wise. Everyone who is both not generous and not funny is either not brave or not funny and vice versa. If someone is not old then someone is either curious or not funny. Everyone who is patient is not happy or tall. Everyone who is... | Fred is wise. | contradiction | (![X]:((kind(X)<~>~kind(X))=>~wise(X)))&
(![X]:((old(X)|~quiet(X))=>wise(X)))&
(![X]:((~generous(X)&~funny(X))<=>(~brave(X)<~>~funny(X))))&
((?[X]:(~old(X)))=>(?[X]:((curious(X)<~>~funny(X)))))&
(![X]:(patient(X)=>(~happy(X)|tall(X))))&
(![X]:((kind(X)&~wise(X))=>(kind(X)<~>tall(X))))&
((?[X]:((~quiet(X)<~>kind(X))))<=... | wise(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3171377768263319988332268
% SZS output start Proof for 3171377768263319988332268
1. ! [X0] : ((kind(X0) <~> ~kind(X0)) => ~wise(X0)) [input p0]
24. wise(fred) [input hypothesis]
26. ! [X0] : (~wise(X0) | (kind(X0) <=> ~kind(X0))) [ennf transformation 1]
35. ! [X0] : (~wise(X0) | ((kind(X0... | 0 |
Everyone who is kind or quiet is not calm.
If someone is not kind or brave then lucy is creative.
If susan is both not strong and quiet then john is not wise or not calm and vice versa.
Everyone who is either not rich or generous is quiet and vice versa.
Everyone who is either not funny or not patient is not rich or no... | John is humble. | neutral | (![X]:((kind(X)|quiet(X))=>~calm(X)))&
((?[X]:((~kind(X)|brave(X))))=>(creative(lucy)))&
(((~strong(susan)&quiet(susan)))<=>((~wise(john)|~calm(john))))&
(![X]:((~rich(X)<~>generous(X))<=>quiet(X)))&
(![X]:((~funny(X)<~>~patient(X))<=>(~rich(X)|~humble(X))))&
(![X]:((~brave(X)&kind(X))<=>curious(X)))&
(![X]:(~strong(X)... | humble(john) | [] | null | 0 |
Everyone who is not humble or kind is both happy and not curious.
If lucy is not happy then susan is humble or not rich and vice versa.
Everyone who is not humble or rich is either old or wise.
Everyone who is either curious or quiet is not happy or patient and vice versa.
If paul is either tall or not humble then some... | Alice is not brave. | neutral | (![X]:((~humble(X)|kind(X))=>(happy(X)&~curious(X))))&
((~happy(lucy))<=>((humble(susan)|~rich(susan))))&
(![X]:((~humble(X)|rich(X))=>(old(X)<~>wise(X))))&
(![X]:((curious(X)<~>quiet(X))<=>(~happy(X)|patient(X))))&
(((tall(paul)<~>~humble(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((~generous(X)&~kind(X))<=>(... | ~brave(alice) | [] | null | 0 |
Everyone who is either not old or humble is both not old and quiet and vice versa.
Everyone who is tall or not wise is patient or not kind and vice versa.
Everyone who is not rich is both wise and not patient and vice versa.
If someone is either not happy or not creative then fred is quiet or calm and vice versa.
If so... | John is not rich. | contradiction | (![X]:((~old(X)<~>humble(X))<=>(~old(X)&quiet(X))))&
(![X]:((tall(X)|~wise(X))<=>(patient(X)|~kind(X))))&
(![X]:(~rich(X)<=>(wise(X)&~patient(X))))&
((?[X]:((~happy(X)<~>~creative(X))))<=>((quiet(fred)|calm(fred))))&
((?[X]:((~patient(X)<~>wise(X))))<=>((wise(john)&patient(john))))&
(![X]:(strong(X)<=>(rich(X)|old(X)))... | ~rich(john) | [
"p2",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 317060382940084490283400
% SZS output start Proof for 317060382940084490283400
3. ! [X0] : (~rich(X0) <=> (~patient(X0) & wise(X0))) [input p2]
5. ? [X0] : (~patient(X0) <~> wise(X0)) <=> (patient(john) & wise(john)) [input p4]
19. ? [X0] : (~wise(X0) <~> patient(X0)) [input p18]
25. ~ric... | 0 |
Everyone who is calm is either brave or not quiet and vice versa.
Everyone who is both not humble and not funny is either funny or not brave and vice versa.
Everyone who is both not patient and calm is not strong or rich.
If someone is not brave or not generous then someone is not tall.
Everyone who is not brave or not... | Alice is not kind. | neutral | (![X]:(calm(X)<=>(brave(X)<~>~quiet(X))))&
(![X]:((~humble(X)&~funny(X))<=>(funny(X)<~>~brave(X))))&
(![X]:((~patient(X)&calm(X))=>(~strong(X)|rich(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)|~rich(X))=>(~brave(X)<~>old(X))))&
((?[X]:(~quiet(X)))<=>(~quiet(paul)))&
(((~brave(alice)<... | ~kind(alice) | [] | null | 0 |
If paul is either humble or not happy then someone is both creative and not tall and vice versa.
Everyone who is either tall or kind is either wise or not generous and vice versa.
Everyone who is both patient and brave is not old and vice versa.
Everyone who is not strong or not brave is not rich and vice versa.
If sus... | John is not calm. | neutral | (((humble(paul)<~>~happy(paul)))<=>(?[X]:((creative(X)&~tall(X)))))&
(![X]:((tall(X)<~>kind(X))<=>(wise(X)<~>~generous(X))))&
(![X]:((patient(X)&brave(X))<=>~old(X)))&
(![X]:((~strong(X)|~brave(X))<=>~rich(X)))&
(((rich(susan)<~>~rich(susan)))=>((tall(paul)&rich(paul))))&
(![X]:((~curious(X)|strong(X))=>humble(X)))&
((... | ~calm(john) | [] | null | 0 |
If someone is both brave and not calm then someone is both not funny and old.
If lucy is wise then paul is rich and vice versa.
If fred is either not humble or wise then someone is kind and vice versa.
If susan is either not patient or not strong then fred is tall.
Everyone who is not rich is both humble and not genero... | Fred is not patient. | contradiction | ((?[X]:((brave(X)&~calm(X))))=>(?[X]:((~funny(X)&old(X)))))&
((wise(lucy))<=>(rich(paul)))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]:(kind(X))))&
(((~patient(susan)<~>~strong(susan)))=>(tall(fred)))&
(![X]:(~rich(X)<=>(humble(X)&~generous(X))))&
(![X]:((generous(X)<~>strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:((curi... | ~patient(fred) | [
"p2",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 821902914696415197528938
% SZS output start Proof for 821902914696415197528938
3. (~humble(fred) <~> wise(fred)) <=> ? [X0] : kind(X0) [input p2]
7. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (curious(X0) & ~wise(X0))) [input p6]
9. ! [X0] : (~humble(X0) <=> (~calm(X0) | quiet(X0))) [input ... | 0 |
If someone is old or not quiet then fred is either not wise or not creative and vice versa.
Everyone who is not patient or not rich is humble or brave.
If paul is either generous or old then someone is funny or not calm and vice versa.
If john is kind then susan is both not kind and generous and vice versa.
If someone ... | John is creative. | contradiction | ((?[X]:((old(X)|~quiet(X))))<=>((~wise(fred)<~>~creative(fred))))&
(![X]:((~patient(X)|~rich(X))=>(humble(X)|brave(X))))&
(((generous(paul)<~>old(paul)))<=>(?[X]:((funny(X)|~calm(X)))))&
((kind(john))<=>((~kind(susan)&generous(susan))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(?[X]:((~curious(X)<~>humble(X)))))&
(![X]:((~g... | creative(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4743946278322783779237900
% SZS output start Proof for 4743946278322783779237900
14. ! [X0] : ((creative(X0) | ~wise(X0)) => ~creative(X0)) [input p13]
25. creative(john) [input hypothesis]
34. ! [X0] : (~creative(X0) | (~creative(X0) & wise(X0))) [ennf transformation 14]
134. ~creative(X... | 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 6610946335427417049531423
% SZS output start Proof for 6610946335427417049531423
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 |
Everyone who is not curious or not rich is humble or not calm and vice versa.
Everyone who is both happy and not rich is funny or not creative and vice versa.
Everyone who is either not tall or not curious is both humble and not funny and vice versa.
Everyone who is either not funny or tall is not wise.
If someone is b... | Lucy is old. | entailment | (![X]:((~curious(X)|~rich(X))<=>(humble(X)|~calm(X))))&
(![X]:((happy(X)&~rich(X))<=>(funny(X)|~creative(X))))&
(![X]:((~tall(X)<~>~curious(X))<=>(humble(X)&~funny(X))))&
(![X]:((~funny(X)<~>tall(X))=>~wise(X)))&
((?[X]:((rich(X)&old(X))))=>(?[X]:((brave(X)|humble(X)))))&
(((tall(lucy)|brave(lucy)))=>(?[X]:((patient(X)... | old(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7136198516338689139741134
% SZS output start Proof for 7136198516338689139741134
1. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> (~calm(X0) | humble(X0))) [input p0]
3. ! [X0] : ((~tall(X0) <~> ~curious(X0)) <=> (~funny(X0) & humble(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> tall(X0)) => ~... | 0 |
Everyone who is either not happy or kind is creative and vice versa. If someone is curious then someone is both not kind and strong and vice versa. If someone is calm then john is not rich. Everyone who is either not patient or not curious is not brave and vice versa. If susan is not kind then mary is either not creati... | Mary is curious. | entailment | (![X]:((~happy(X)<~>kind(X))<=>creative(X)))&
((?[X]:(curious(X)))<=>(?[X]:((~kind(X)&strong(X)))))&
((?[X]:(calm(X)))=>(~rich(john)))&
(![X]:((~patient(X)<~>~curious(X))<=>~brave(X)))&
((~kind(susan))=>((~creative(mary)<~>humble(mary))))&
(((wise(mary)&old(mary)))=>(~humble(lucy)))&
(![X]:((creative(X)<~>strong(X))<=>... | curious(mary) | [
"p3",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5938468284426328735719881
% SZS output start Proof for 5938468284426328735719881
4. ! [X0] : ((~patient(X0) <~> ~curious(X0)) <=> ~brave(X0)) [input p3]
7. ! [X0] : ((creative(X0) <~> strong(X0)) <=> strong(X0)) [input p6]
9. ! [X0] : (~creative(X0) => ~calm(X0)) [input p8]
13. ! [X0] : (... | 0 |
If john is both generous and happy then someone is either quiet or not calm and vice versa. Everyone who is either not generous or not funny is funny and vice versa. Everyone who is curious or not old is rich and vice versa. Everyone who is both not tall and not quiet is not humble and vice versa. Everyone who is not t... | John is calm. | neutral | (((generous(john)&happy(john)))<=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:((~generous(X)<~>~funny(X))<=>funny(X)))&
(![X]:((curious(X)|~old(X))<=>rich(X)))&
(![X]:((~tall(X)&~quiet(X))<=>~humble(X)))&
(![X]:((~tall(X)|brave(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((creative(X)<~>~humble(X))=>(~humble(X)&~wise(X))))&
(![X]:... | calm(john) | [] | null | 0 |
Everyone who is not creative or not brave is not curious.
Everyone who is not brave or not creative is both not funny and strong.
Everyone who is not tall is not calm or not creative.
Everyone who is either funny or strong is wise or not patient and vice versa.
Everyone who is not happy or not funny is either creative ... | John is quiet. | entailment | (![X]:((~creative(X)|~brave(X))=>~curious(X)))&
(![X]:((~brave(X)|~creative(X))=>(~funny(X)&strong(X))))&
(![X]:(~tall(X)=>(~calm(X)|~creative(X))))&
(![X]:((funny(X)<~>strong(X))<=>(wise(X)|~patient(X))))&
(![X]:((~happy(X)|~funny(X))<=>(creative(X)<~>patient(X))))&
(![X]:((old(X)<~>strong(X))=>(~quiet(X)&humble(X))))... | quiet(john) | [
"p1",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8217435174695967718993313
% SZS output start Proof for 8217435174695967718993313
2. ! [X0] : ((~creative(X0) | ~brave(X0)) => (strong(X0) & ~funny(X0))) [input p1]
15. ! [X0] : (~curious(X0) <=> (~strong(X0) & calm(X0))) [input p14]
16. ! [X0] : ((creative(X0) | calm(X0)) => (strong(X0) |... | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa. If john is both happy and not funny then someone is both quiet and patient and vice versa. Everyone who is patient is both not quiet and not kind and vice versa. Everyone who is happy or funny is not quiet or kind. Everyone who is n... | Susan is brave. | neutral | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
(((happy(john)&~funny(john)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(patient(X)<=>(~quiet(X)&~kind(X))))&
(![X]:((happy(X)|funny(X))=>(~quiet(X)|kind(X))))&
(![X]:(~tall(X)=>~humble(X)))&
(![X]:(old(X)=>(~curious(X)&~calm(X))))&
(![X]:((happy(X)... | brave(susan) | [] | null | 0 |
If paul is not quiet then fred is strong or not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not brave is not calm and vice versa. Everyone who is both not funny and not quiet is not calm. Everyone who is either wise or patient is both funny and not cu... | Lucy is not quiet. | neutral | ((~quiet(paul))=>((strong(fred)|~kind(fred))))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient(X))=>(funny(X)&~curious(X))))&
(![X]:((~wise(X)|~calm(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>old(X))<=... | ~quiet(lucy) | [] | null | 0 |
Everyone who is not humble or not funny is happy and vice versa. If someone is not humble then someone is both not generous and not calm and vice versa. Everyone who is not generous or not tall is tall and vice versa. Everyone who is either happy or not humble is both not tall and not curious. If susan is not patient t... | Alice is strong. | entailment | (![X]:((~humble(X)|~funny(X))<=>happy(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~generous(X)|~tall(X))<=>tall(X)))&
(![X]:((happy(X)<~>~humble(X))=>(~tall(X)&~curious(X))))&
((~patient(susan))=>((rich(alice)<~>~tall(alice))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((strong(X)<~>funny(X)))))... | strong(alice) | [
"p0",
"p2",
"p3",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6470931428566197529598035
% SZS output start Proof for 6470931428566197529598035
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> tall(X0)) [input p2]
4. ! [X0] : ((happy(X0) <~> ~humble(X0)) => (~curious(X0) & ~tall(X0))) [inp... | 0 |
Everyone who is both not humble and not happy is kind.
If someone is either not creative or not strong then someone is either not funny or not brave and vice versa.
Everyone who is not happy or not creative is both tall and not quiet and vice versa.
Everyone who is both not tall and curious is generous and vice versa.
... | Susan is not rich. | neutral | (![X]:((~humble(X)&~happy(X))=>kind(X)))&
((?[X]:((~creative(X)<~>~strong(X))))<=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((~happy(X)|~creative(X))<=>(tall(X)&~quiet(X))))&
(![X]:((~tall(X)&curious(X))<=>generous(X)))&
((curious(mary))=>(~strong(fred)))&
(![X]:((~strong(X)&~quiet(X))=>(tall(X)&kind(X))))&
((?[X]:((ric... | ~rich(susan) | [] | null | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Fred is not kind. | entailment | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | ~kind(fred) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 102909014927404495555392
% SZS output start Proof for 102909014927404495555392
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
7. ! [X0] : (kind(X0) <=> brave(X0)) [input p6]
16. ! [X0] : ((~humble(X0) | kind(X0)) => (~patient(X0) & ~calm(X0))) [input p15]
23. kind(fred) ... | 0 |
Everyone who is kind is funny or not rich.
If paul is not funny or calm then paul is not generous or humble and vice versa.
Everyone who is both happy and not curious is not happy or curious.
Everyone who is not curious is both not generous and not humble.
If someone is either patient or funny then someone is either br... | Alice is not rich. | entailment | (![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((patient(X)<~>funny(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:(~creative(X)=>~patient(X)))&
((?[X... | ~rich(alice) | [
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6925912715926799325965716
% SZS output start Proof for 6925912715926799325965716
6. ! [X0] : (~creative(X0) => ~patient(X0)) [input p5]
7. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p6]
9. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) <~> rich(X0))) [input p8... | 0 |
Everyone who is either not patient or not generous is either brave or funny and vice versa. If someone is either not happy or kind then lucy is calm. Everyone who is not tall is not creative or not wise and vice versa. Everyone who is not old or not generous is not funny or kind. Everyone who is both humble and not tal... | Alice is not quiet. | neutral | (![X]:((~patient(X)<~>~generous(X))<=>(brave(X)<~>funny(X))))&
((?[X]:((~happy(X)<~>kind(X))))=>(calm(lucy)))&
(![X]:(~tall(X)<=>(~creative(X)|~wise(X))))&
(![X]:((~old(X)|~generous(X))=>(~funny(X)|kind(X))))&
(![X]:((humble(X)&~tall(X))=>(brave(X)<~>creative(X))))&
(![X]:(creative(X)<=>kind(X)))&
(((creative(lucy)&cal... | ~quiet(alice) | [] | null | 0 |
If fred is not tall then john is not happy and vice versa.
If susan is both not strong and funny then someone is not quiet or wise and vice versa.
If someone is either old or creative then someone is either happy or not generous and vice versa.
If fred is tall or strong then john is curious.
Everyone who is both not qu... | Mary is patient. | contradiction | ((~tall(fred))<=>(~happy(john)))&
(((~strong(susan)&funny(susan)))<=>(?[X]:((~quiet(X)|wise(X)))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((happy(X)<~>~generous(X)))))&
(((tall(fred)|strong(fred)))=>(curious(john)))&
(![X]:((~quiet(X)&~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~brave(X)<~>~old(X))=>(funny(X)&rich(X))... | patient(mary) | [
"p1",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4580799459703564305985777
% SZS output start Proof for 4580799459703564305985777
2. (funny(susan) & ~strong(susan)) <=> ? [X0] : (wise(X0) | ~quiet(X0)) [input p1]
11. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (wise(X0) | ~rich(X0))) [input p10]
13. ! [X0] : ((~generous(X0) & rich(X0)) <=> ~s... | 0 |
Everyone who is either strong or not patient is not tall or quiet.
If someone is either not humble or not wise then someone is rich and vice versa.
If susan is either patient or not creative then mary is either not creative or not happy and vice versa.
Everyone who is both strong and humble is brave.
Everyone who is bo... | Alice is not calm. | entailment | (![X]:((strong(X)<~>~patient(X))=>(~tall(X)|quiet(X))))&
((?[X]:((~humble(X)<~>~wise(X))))<=>(?[X]:(rich(X))))&
(((patient(susan)<~>~creative(susan)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:((strong(X)&humble(X))=>brave(X)))&
(![X]:((~wise(X)&~kind(X))<=>(~quiet(X)|brave(X))))&
(![X]:(wise(X)<=>(patient(X)&~tall(... | ~calm(alice) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5390659693670327271676210
% SZS output start Proof for 5390659693670327271676210
5. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> (brave(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : (wise(X0) <=> (~tall(X0) & patient(X0))) [input p5]
7. ! [X0] : ((~wise(X0) & funny(X0)) => (~tall(X0) & generous(X0))... | 0 |
Everyone who is both curious and not tall is both not calm and not quiet and vice versa.
Everyone who is generous is not old and vice versa.
Everyone who is both rich and kind is either wise or funny and vice versa.
If mary is old or not wise then someone is either not tall or old and vice versa.
If someone is wise the... | Fred is not tall. | neutral | (![X]:((curious(X)&~tall(X))<=>(~calm(X)&~quiet(X))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:((rich(X)&kind(X))<=>(wise(X)<~>funny(X))))&
(((old(mary)|~wise(mary)))<=>(?[X]:((~tall(X)<~>old(X)))))&
((?[X]:(wise(X)))<=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|calm(X))<=>(kind(X)<~>~funny(X))))&
(![X]:((~tall(X)<~>calm(X... | ~tall(fred) | [] | null | 0 |
Everyone who is not strong is brave and vice versa.
If paul is either not wise or not kind then john is not creative or not calm.
Everyone who is not generous is either generous or creative and vice versa.
Everyone who is strong is either not rich or not kind and vice versa.
If someone is either funny or kind then some... | John is not patient. | neutral | (![X]:(~strong(X)<=>brave(X)))&
(((~wise(paul)<~>~kind(paul)))=>((~creative(john)|~calm(john))))&
(![X]:(~generous(X)<=>(generous(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~rich(X)<~>~kind(X))))&
((?[X]:((funny(X)<~>kind(X))))<=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)<~>strong(X)))... | ~patient(john) | [] | null | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is either patient or happy is either not curious or not humble.
If susan is both humble and quiet then mary is creative or kind and vice versa.
... | Alice is not old. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((patient(X)<~>happy(X))=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious... | ~old(alice) | [
"p2",
"p4",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3442398967470182374302474
% SZS output start Proof for 3442398967470182374302474
3. ! [X0] : ((patient(X0) <~> happy(X0)) => (~curious(X0) <~> ~humble(X0))) [input p2]
5. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p4]
6. ! [X0] : ((~curious(X0) & ~old(X0)... | 0 |
Everyone who is either not funny or rich is not humble and vice versa. Everyone who is happy or funny is not wise and vice versa. Everyone who is funny is both quiet and generous. Everyone who is not happy is both quiet and not tall. If someone is either not rich or patient then paul is both not wise and creative. Ever... | Mary is not curious. | entailment | (![X]:((~funny(X)<~>rich(X))<=>~humble(X)))&
(![X]:((happy(X)|funny(X))<=>~wise(X)))&
(![X]:(funny(X)=>(quiet(X)&generous(X))))&
(![X]:(~happy(X)=>(quiet(X)&~tall(X))))&
((?[X]:((~rich(X)<~>patient(X))))=>((~wise(paul)&creative(paul))))&
(![X]:((generous(X)|~brave(X))<=>(~curious(X)&calm(X))))&
((?[X]:((~kind(X)&~humbl... | ~curious(mary) | [
"p1",
"p3",
"p5",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7028846927704776952538058
% SZS output start Proof for 7028846927704776952538058
2. ! [X0] : ((funny(X0) | happy(X0)) <=> ~wise(X0)) [input p1]
4. ! [X0] : (~happy(X0) => (~tall(X0) & quiet(X0))) [input p3]
6. ! [X0] : ((~brave(X0) | generous(X0)) <=> (calm(X0) & ~curious(X0))) [input p5]... | 0 |
Everyone who is funny is both strong and generous and vice versa. If someone is either not patient or kind then someone is not generous or patient. If alice is either not tall or not strong then paul is both funny and not happy. If mary is both not creative and not curious then someone is both not brave and brave and v... | Mary is rich. | entailment | (![X]:(funny(X)<=>(strong(X)&generous(X))))&
((?[X]:((~patient(X)<~>kind(X))))=>(?[X]:((~generous(X)|patient(X)))))&
(((~tall(alice)<~>~strong(alice)))=>((funny(paul)&~happy(paul))))&
(((~creative(mary)&~curious(mary)))<=>(?[X]:((~brave(X)&brave(X)))))&
(![X]:((wise(X)|~curious(X))=>(curious(X)<~>happy(X))))&
(![X]:((b... | rich(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7839287529799104760157534
% SZS output start Proof for 7839287529799104760157534
19. rich(mary) [input p18]
25. ~rich(mary) [input hypothesis]
137. rich(mary) [cnf transformation 19]
146. ~rich(mary) [cnf transformation 25]
307. $false [subsumption resolution 146,137]
% SZS output end Pro... | 0 |
Everyone who is either not old or happy is not old. Everyone who is both happy and not quiet is not curious or funny. Everyone who is both not strong and not kind is not wise and vice versa. Everyone who is patient is both happy and rich. If someone is both not rich and happy then someone is not tall or generous and vi... | Fred is not patient. | entailment | (![X]:((~old(X)<~>happy(X))=>~old(X)))&
(![X]:((happy(X)&~quiet(X))=>(~curious(X)|funny(X))))&
(![X]:((~strong(X)&~kind(X))<=>~wise(X)))&
(![X]:(patient(X)=>(happy(X)&rich(X))))&
((?[X]:((~rich(X)&happy(X))))<=>(?[X]:((~tall(X)|generous(X)))))&
((?[X]:((happy(X)&~kind(X))))=>(?[X]:((~calm(X)&~brave(X)))))&
((?[X]:((~ol... | ~patient(fred) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3796246716583426138160783
% SZS output start Proof for 3796246716583426138160783
4. ! [X0] : (patient(X0) => (rich(X0) & happy(X0))) [input p3]
10. ! [X0] : ((old(X0) | rich(X0)) => (old(X0) & ~old(X0))) [input p9]
24. patient(fred) [input hypothesis]
32. ! [X0] : ((rich(X0) & happy(X0)) ... | 0 |
If alice is curious then alice is quiet and vice versa. Everyone who is not generous is not kind and vice versa. Everyone who is wise is both not creative and brave and vice versa. Everyone who is either brave or strong is kind or creative. Everyone who is not creative or not happy is either calm or tall and vice versa... | Paul is not calm. | entailment | ((curious(alice))<=>(quiet(alice)))&
(![X]:(~generous(X)<=>~kind(X)))&
(![X]:(wise(X)<=>(~creative(X)&brave(X))))&
(![X]:((brave(X)<~>strong(X))=>(kind(X)|creative(X))))&
(![X]:((~creative(X)|~happy(X))<=>(calm(X)<~>tall(X))))&
((?[X]:((calm(X)&generous(X))))<=>(happy(susan)))&
((?[X]:((~humble(X)<~>wise(X))))=>(?[X]:(... | ~calm(paul) | [
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4188906349072057902116484
% SZS output start Proof for 4188906349072057902116484
9. ? [X0] : (~strong(X0) & ~calm(X0)) <=> ? [X0] : calm(X0) [input p8]
12. ! [X0] : ((~calm(X0) <~> ~humble(X0)) <=> (humble(X0) <~> ~tall(X0))) [input p11]
14. ! [X0] : ((~rich(X0) | ~strong(X0)) <=> ~tall(X... | 0 |
Everyone who is either not tall or not patient is patient or not old. Everyone who is not quiet or wise is calm. If someone is not calm or quiet then alice is both generous and humble. Everyone who is either curious or tall is either not wise or not quiet. If someone is either kind or not kind then alice is kind or not... | John is kind. | neutral | (![X]:((~tall(X)<~>~patient(X))=>(patient(X)|~old(X))))&
(![X]:((~quiet(X)|wise(X))=>calm(X)))&
((?[X]:((~calm(X)|quiet(X))))=>((generous(alice)&humble(alice))))&
(![X]:((curious(X)<~>tall(X))=>(~wise(X)<~>~quiet(X))))&
((?[X]:((kind(X)<~>~kind(X))))=>((kind(alice)|~happy(alice))))&
(((~brave(mary)<~>tall(mary)))<=>((w... | kind(john) | [] | null | 0 |
Everyone who is not creative is creative or not tall and vice versa.
Everyone who is both happy and not patient is either not strong or generous and vice versa.
Everyone who is generous is not tall and vice versa.
If susan is not humble then someone is humble or funny.
Everyone who is either not calm or patient is not ... | Susan is creative. | contradiction | (![X]:(~creative(X)<=>(creative(X)|~tall(X))))&
(![X]:((happy(X)&~patient(X))<=>(~strong(X)<~>generous(X))))&
(![X]:(generous(X)<=>~tall(X)))&
((~humble(susan))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((~calm(X)<~>patient(X))<=>~old(X)))&
(![X]:(tall(X)=>(~strong(X)|~generous(X))))&
(![X]:((humble(X)<~>~quiet(X))=>(~ric... | creative(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4438577517668481251656117
% SZS output start Proof for 4438577517668481251656117
1. ! [X0] : (~creative(X0) <=> (~tall(X0) | creative(X0))) [input p0]
21. creative(susan) [input hypothesis]
31. ! [X0] : ((~creative(X0) | (tall(X0) & ~creative(X0))) & ((~tall(X0) | creative(X0)) | creative... | 0 |
If fred is both not creative and funny then john is either not brave or not funny and vice versa. If someone is both kind and funny then someone is both patient and not tall. Everyone who is not kind or not creative is both calm and not patient and vice versa. Everyone who is generous or not kind is either not generous... | Fred is humble. | neutral | (((~creative(fred)&funny(fred)))<=>((~brave(john)<~>~funny(john))))&
((?[X]:((kind(X)&funny(X))))=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:((~kind(X)|~creative(X))<=>(calm(X)&~patient(X))))&
(![X]:((generous(X)|~kind(X))=>(~generous(X)<~>~brave(X))))&
(((kind(alice)&funny(alice)))<=>(~calm(alice)))&
(![X]:((~patient(X)&... | humble(fred) | [] | null | 0 |
Everyone who is both not patient and rich is calm or patient and vice versa.
If lucy is not old or strong then fred is not tall or creative and vice versa.
Everyone who is either calm or not creative is not old or generous.
Everyone who is brave or tall is patient and vice versa.
If mary is both not kind and kind then ... | John is not happy. | contradiction | (![X]:((~patient(X)&rich(X))<=>(calm(X)|patient(X))))&
(((~old(lucy)|strong(lucy)))<=>((~tall(fred)|creative(fred))))&
(![X]:((calm(X)<~>~creative(X))=>(~old(X)|generous(X))))&
(![X]:((brave(X)|tall(X))<=>patient(X)))&
(((~kind(mary)&kind(mary)))=>(?[X]:((quiet(X)&calm(X)))))&
(((kind(susan)|calm(susan)))=>((~generous(... | ~happy(john) | [
"p0",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1403686947882160827937713
% SZS output start Proof for 1403686947882160827937713
1. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (patient(X0) | calm(X0))) [input p0]
4. ! [X0] : ((tall(X0) | brave(X0)) <=> patient(X0)) [input p3]
10. ? [X0] : (~happy(X0) | ~curious(X0)) <=> ? [X0] : (tall(X0) ... | 0 |
If john is not strong or not calm then alice is either strong or not funny. Everyone who is both not generous and not patient is both not quiet and not tall and vice versa. Everyone who is both not wise and old is both tall and kind and vice versa. If someone is both humble and happy then someone is tall and vice versa... | John is not funny. | contradiction | (((~strong(john)|~calm(john)))=>((strong(alice)<~>~funny(alice))))&
(![X]:((~generous(X)&~patient(X))<=>(~quiet(X)&~tall(X))))&
(![X]:((~wise(X)&old(X))<=>(tall(X)&kind(X))))&
((?[X]:((humble(X)&happy(X))))<=>(?[X]:(tall(X))))&
(![X]:((~creative(X)&strong(X))=>creative(X)))&
((?[X]:((kind(X)<~>~happy(X))))=>((~tall(ali... | ~funny(john) | [
"p1",
"p8",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7110714586030645334654506
% SZS output start Proof for 7110714586030645334654506
2. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (~tall(X0) & ~quiet(X0))) [input p1]
9. ! [X0] : ((~quiet(X0) | wise(X0)) => (quiet(X0) & ~tall(X0))) [input p8]
11. ! [X0] : ((brave(X0) & ~patient(X0)) <=> (r... | 0 |
If mary is both brave and kind then fred is either not rich or patient. If lucy is both funny and not tall then someone is either not rich or not old. Everyone who is not wise is either patient or not happy. Everyone who is either brave or not generous is tall. If mary is happy then mary is both happy and not old. If m... | Fred is not creative. | neutral | (((brave(mary)&kind(mary)))=>((~rich(fred)<~>patient(fred))))&
(((funny(lucy)&~tall(lucy)))=>(?[X]:((~rich(X)<~>~old(X)))))&
(![X]:(~wise(X)=>(patient(X)<~>~happy(X))))&
(![X]:((brave(X)<~>~generous(X))=>tall(X)))&
((happy(mary))=>((happy(mary)&~old(mary))))&
(((rich(mary)<~>calm(mary)))<=>((calm(john)<~>~generous(john... | ~creative(fred) | [] | null | 0 |
Everyone who is rich is not curious or not brave.
Everyone who is not kind is rich or generous and vice versa.
Everyone who is either patient or not calm is happy and vice versa.
Everyone who is not creative or not strong is not patient and vice versa.
Everyone who is wise or not old is either creative or wise and vice... | John is not brave. | neutral | (![X]:(rich(X)=>(~curious(X)|~brave(X))))&
(![X]:(~kind(X)<=>(rich(X)|generous(X))))&
(![X]:((patient(X)<~>~calm(X))<=>happy(X)))&
(![X]:((~creative(X)|~strong(X))<=>~patient(X)))&
(![X]:((wise(X)|~old(X))<=>(creative(X)<~>wise(X))))&
((kind(mary))<=>(?[X]:((strong(X)<~>~generous(X)))))&
((?[X]:(~funny(X)))=>(?[X]:((ki... | ~brave(john) | [] | null | 0 |
If alice is either humble or funny then alice is both not patient and not humble and vice versa.
If susan is both not rich and not strong then mary is either not happy or quiet and vice versa.
Everyone who is not calm is not creative or not old and vice versa.
If someone is both creative and not quiet then paul is curi... | Mary is not calm. | entailment | (((humble(alice)<~>funny(alice)))<=>((~patient(alice)&~humble(alice))))&
(((~rich(susan)&~strong(susan)))<=>((~happy(mary)<~>quiet(mary))))&
(![X]:(~calm(X)<=>(~creative(X)|~old(X))))&
((?[X]:((creative(X)&~quiet(X))))=>((curious(paul)|~curious(paul))))&
(![X]:((~rich(X)&generous(X))<=>(happy(X)&generous(X))))&
(![X]:(... | ~calm(mary) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5280906078525545423571104
% SZS output start Proof for 5280906078525545423571104
2. (~strong(susan) & ~rich(susan)) <=> (~happy(mary) <~> quiet(mary)) [input p1]
3. ! [X0] : (~calm(X0) <=> (~old(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((generous(X0) & ~rich(X0)) <=> (generous(X0) & h... | 0 |
If john is both not kind and not calm then someone is not quiet or happy and vice versa.
If mary is both not generous and not happy then someone is not kind.
If mary is not generous or brave then fred is not humble or rich.
Everyone who is both kind and not kind is not happy or not humble and vice versa.
If fred is bra... | Lucy is patient. | contradiction | (((~kind(john)&~calm(john)))<=>(?[X]:((~quiet(X)|happy(X)))))&
(((~generous(mary)&~happy(mary)))=>(?[X]:(~kind(X))))&
(((~generous(mary)|brave(mary)))=>((~humble(fred)|rich(fred))))&
(![X]:((kind(X)&~kind(X))<=>(~happy(X)|~humble(X))))&
(((brave(fred)|tall(fred)))=>(?[X]:((~curious(X)|humble(X)))))&
(![X]:((rich(X)&~br... | patient(lucy) | [
"p0",
"p3",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5962824150606564399829280
% SZS output start Proof for 5962824150606564399829280
1. (~calm(john) & ~kind(john)) <=> ? [X0] : (happy(X0) | ~quiet(X0)) [input p0]
4. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~humble(X0) | ~happy(X0))) [input p3]
10. ~happy(susan) <=> ? [X0] : (patient(X0) <~> ~... | 0 |
If lucy is not curious then someone is both not curious and kind.
Everyone who is patient or brave is calm.
Everyone who is both not rich and not funny is curious or strong.
If someone is not calm then lucy is calm and vice versa.
Everyone who is strong or kind is either creative or not creative and vice versa.
Everyon... | Alice is not calm. | neutral | ((~curious(lucy))=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((patient(X)|brave(X))=>calm(X)))&
(![X]:((~rich(X)&~funny(X))=>(curious(X)|strong(X))))&
((?[X]:(~calm(X)))<=>(calm(lucy)))&
(![X]:((strong(X)|kind(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((patient(X)<~>creative(X))<=>(rich(X)&~old(X))))&
(((~calm(alice)<~>... | ~calm(alice) | [] | null | 0 |
Everyone who is creative or brave is either not tall or old and vice versa.
If someone is not strong or old then alice is either generous or happy.
If someone is calm or not funny then mary is not calm.
If lucy is either not happy or not wise then someone is not strong or not quiet.
Everyone who is both curious and gen... | Paul is not curious. | contradiction | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((~strong(X)|old(X))))=>((generous(alice)<~>happy(alice))))&
((?[X]:((calm(X)|~funny(X))))=>(~calm(mary)))&
(((~happy(lucy)<~>~wise(lucy)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>stron... | ~curious(paul) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 295762863354222867630427
% SZS output start Proof for 295762863354222867630427
5. ! [X0] : ((generous(X0) & curious(X0)) <=> (~strong(X0) | funny(X0))) [input p4]
17. funny(paul) [input p16]
24. ~curious(paul) [input hypothesis]
44. ! [X0] : (((generous(X0) & curious(X0)) | (strong(X0) & ... | 0 |
If john is happy then someone is not creative.
If fred is either strong or not rich then mary is either not brave or humble and vice versa.
If someone is both wise and curious then john is funny or curious and vice versa.
If someone is both calm and not curious then mary is both not creative and creative and vice versa... | Fred is not wise. | contradiction | ((happy(john))=>(?[X]:(~creative(X))))&
(((strong(fred)<~>~rich(fred)))<=>((~brave(mary)<~>humble(mary))))&
((?[X]:((wise(X)&curious(X))))<=>((funny(john)|curious(john))))&
((?[X]:((calm(X)&~curious(X))))<=>((~creative(mary)&creative(mary))))&
(![X]:((~rich(X)|~happy(X))=>calm(X)))&
(![X]:((~funny(X)|~generous(X))=>~ha... | ~wise(fred) | [
"p4",
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4079083415728107009131707
% SZS output start Proof for 4079083415728107009131707
5. ! [X0] : ((~happy(X0) | ~rich(X0)) => calm(X0)) [input p4]
10. ! [X0] : (happy(X0) <=> (rich(X0) <~> ~tall(X0))) [input p9]
12. ! [X0] : ((rich(X0) <~> wise(X0)) <=> (~tall(X0) | wise(X0))) [input p11]
15.... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa.
Everyone who is both not rich and strong is not old or creative and vice versa.
Everyone who is either not wise or strong is both not quiet and not happy.
Everyone who is calm is either not wise or not humble.
Everyone who is either ... | Susan is strong. | contradiction | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~rich(X)&strong(X))<=>(~old(X)|creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~quiet(X)&~happy(X))))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:((kind(X)|~funny(X))=>(~strong(X)&happy(X))))&
... | strong(susan) | [
"p2",
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 254222275562726240549383
% SZS output start Proof for 254222275562726240549383
3. ! [X0] : ((~wise(X0) <~> strong(X0)) => (~happy(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (calm(X0) => (~wise(X0) <~> ~humble(X0))) [input p3]
6. ! [X0] : ((~funny(X0) | kind(X0)) => (happy(X0) & ~strong(X0)... | 0 |
If fred is either not humble or tall then someone is patient and vice versa.
If someone is curious or not old then susan is both tall and not rich and vice versa.
If mary is not patient or not rich then paul is not creative.
If fred is tall then someone is kind or not tall.
Everyone who is both creative and not calm is... | Fred is not wise. | contradiction | (((~humble(fred)<~>tall(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)|~old(X))))<=>((tall(susan)&~rich(susan))))&
(((~patient(mary)|~rich(mary)))=>(~creative(paul)))&
((tall(fred))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((creative(X)&~calm(X))=>(tall(X)|~kind(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((~patient(fred)&... | ~wise(fred) | [
"p5",
"p8",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8335806535837572302196203
% SZS output start Proof for 8335806535837572302196203
6. ? [X0] : (~old(X0) | ~quiet(X0)) <=> (~happy(fred) & ~patient(fred)) [input p5]
9. ~quiet(alice) <=> (rich(alice) | ~old(alice)) [input p8]
10. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p9... | 0 |
If someone is both not rich and calm then paul is not humble or happy.
If john is both not curious and kind then mary is not brave and vice versa.
Everyone who is either not kind or generous is calm or kind.
If susan is both tall and quiet then someone is both not patient and wise.
If someone is not old then someone is... | Mary is not old. | contradiction | ((?[X]:((~rich(X)&calm(X))))=>((~humble(paul)|happy(paul))))&
(((~curious(john)&kind(john)))<=>(~brave(mary)))&
(![X]:((~kind(X)<~>generous(X))=>(calm(X)|kind(X))))&
(((tall(susan)&quiet(susan)))=>(?[X]:((~patient(X)&wise(X)))))&
((?[X]:(~old(X)))<=>(?[X]:((creative(X)&~quiet(X)))))&
(((~funny(lucy)&brave(lucy)))=>(?[X... | ~old(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6347361990653360585227845
% SZS output start Proof for 6347361990653360585227845
7. ! [X0] : (~rich(X0) <=> (~old(X0) & rich(X0))) [input p6]
23. ~old(mary) [input hypothesis]
54. ! [X0] : ((~rich(X0) | (old(X0) | ~rich(X0))) & ((~old(X0) & rich(X0)) | rich(X0))) [nnf transformation 7]
55... | 0 |
If john is not creative then john is both not brave and not tall and vice versa.
Everyone who is either not strong or not quiet is both old and brave and vice versa.
Everyone who is not patient or wise is both not wise and not funny.
Everyone who is funny is both calm and funny and vice versa.
Everyone who is both not ... | Lucy is not quiet. | neutral | ((~creative(john))<=>((~brave(john)&~tall(john))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(old(X)&brave(X))))&
(![X]:((~patient(X)|wise(X))=>(~wise(X)&~funny(X))))&
(![X]:(funny(X)<=>(calm(X)&funny(X))))&
(![X]:((~happy(X)&~humble(X))<=>(~creative(X)|calm(X))))&
(![X]:(happy(X)=>(generous(X)|happy(X))))&
((~strong(lucy))=>... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both funny and not strong is happy and vice versa. If john is not quiet then someone is both funny and not rich and vice versa. Everyone who is both not old and happy is either strong or quiet. Everyone who is not generous or not old is kind and vice versa. Everyone who is not humble is both patient and... | John is generous. | neutral | (![X]:((funny(X)&~strong(X))<=>happy(X)))&
((~quiet(john))<=>(?[X]:((funny(X)&~rich(X)))))&
(![X]:((~old(X)&happy(X))=>(strong(X)<~>quiet(X))))&
(![X]:((~generous(X)|~old(X))<=>kind(X)))&
(![X]:(~humble(X)=>(patient(X)&~calm(X))))&
((?[X]:((~brave(X)|~wise(X))))<=>(?[X]:(creative(X))))&
(((calm(alice)&kind(alice)))=>((... | generous(john) | [] | null | 0 |
Everyone who is not old or brave is both not brave and not old and vice versa. If someone is humble or happy then mary is either tall or not creative. Everyone who is not brave or kind is not funny and vice versa. Everyone who is rich is wise or not tall. Everyone who is either not curious or not calm is curious and vi... | John is not creative. | contradiction | (![X]:((~old(X)|brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((humble(X)|happy(X))))=>((tall(mary)<~>~creative(mary))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>... | ~creative(john) | [
"p0",
"p2",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7336455439928787161951709
% SZS output start Proof for 7336455439928787161951709
1. ! [X0] : ((brave(X0) | ~old(X0)) <=> (~old(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((kind(X0) | ~brave(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4... | 0 |
If susan is either funny or not wise then someone is both funny and tall and vice versa.
If lucy is quiet then someone is both kind and not tall.
If john is either generous or patient then john is both calm and not quiet.
Everyone who is wise is not calm and vice versa.
Everyone who is both not generous and not tall is... | Fred is not happy. | entailment | (((funny(susan)<~>~wise(susan)))<=>(?[X]:((funny(X)&tall(X)))))&
((quiet(lucy))=>(?[X]:((kind(X)&~tall(X)))))&
(((generous(john)<~>patient(john)))=>((calm(john)&~quiet(john))))&
(![X]:(wise(X)<=>~calm(X)))&
(![X]:((~generous(X)&~tall(X))=>(~tall(X)&~brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((generous(fred)&happy(f... | ~happy(fred) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 70921262023583622557546
% SZS output start Proof for 70921262023583622557546
5. ! [X0] : ((~tall(X0) & ~generous(X0)) => (~brave(X0) & ~tall(X0))) [input p4]
8. brave(fred) <=> ? [X0] : (~calm(X0) | creative(X0)) [input p7]
9. ! [X0] : ((patient(X0) & ~strong(X0)) <=> ~patient(X0)) [input... | 0 |
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