premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is rich or humble is both not happy and wise.
Everyone who is happy or not rich is either not patient or not curious and vice versa.
Everyone who is both patient and quiet is both brave and old.
If someone is not humble then john is either not brave or not patient and vice versa.
Everyone who is not humble... | Lucy is happy. | contradiction | (![X]:((rich(X)|humble(X))=>(~happy(X)&wise(X))))&
(![X]:((happy(X)|~rich(X))<=>(~patient(X)<~>~curious(X))))&
(![X]:((patient(X)&quiet(X))=>(brave(X)&old(X))))&
((?[X]:(~humble(X)))<=>((~brave(john)<~>~patient(john))))&
(![X]:((~humble(X)|brave(X))<=>(~wise(X)&~strong(X))))&
(((strong(fred)&~patient(fred)))=>(?[X]:((~... | happy(lucy) | [
"p1",
"p4",
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7061212239804958318745960
% SZS output start Proof for 7061212239804958318745960
2. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~patient(X0) <~> ~curious(X0))) [input p1]
5. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (~strong(X0) & ~wise(X0))) [input p4]
7. ! [X0] : (wise(X0) <=> (generous(X0) | ... | 0 |
Everyone who is creative is both kind and not creative. If someone is both not brave and not happy then alice is either not happy or strong and vice versa. Everyone who is not generous or brave is both patient and brave and vice versa. If someone is either not patient or not generous then john is either old or not humb... | Fred is not generous. | contradiction | (![X]:(creative(X)=>(kind(X)&~creative(X))))&
((?[X]:((~brave(X)&~happy(X))))<=>((~happy(alice)<~>strong(alice))))&
(![X]:((~generous(X)|brave(X))<=>(patient(X)&brave(X))))&
((?[X]:((~patient(X)<~>~generous(X))))<=>((old(john)<~>~humble(john))))&
(![X]:((~tall(X)<~>rich(X))<=>(happy(X)&patient(X))))&
((?[X]:((~strong(X... | ~generous(fred) | [
"p0",
"p2",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7770138955954779189813088
% SZS output start Proof for 7770138955954779189813088
1. ! [X0] : (creative(X0) => (~creative(X0) & kind(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~generous(X0)) <=> (brave(X0) & patient(X0))) [input p2]
14. ? [X0] : (creative(X0) <~> calm(X0)) => ~patient(fred... | 0 |
Everyone who is not creative is either not old or happy and vice versa.
Everyone who is quiet or not rich is not generous and vice versa.
Everyone who is both quiet and calm is strong.
Everyone who is either brave or not tall is generous or not creative.
Everyone who is both not kind and not strong is calm.
If paul is ... | Lucy is quiet. | contradiction | (![X]:(~creative(X)<=>(~old(X)<~>happy(X))))&
(![X]:((quiet(X)|~rich(X))<=>~generous(X)))&
(![X]:((quiet(X)&calm(X))=>strong(X)))&
(![X]:((brave(X)<~>~tall(X))=>(generous(X)|~creative(X))))&
(![X]:((~kind(X)&~strong(X))=>calm(X)))&
(((~quiet(paul)&quiet(paul)))<=>(?[X]:(old(X))))&
(((curious(john)|~old(john)))<=>(?[X]:... | quiet(lucy) | [
"p0",
"p1",
"p5",
"p10",
"p11",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7859745228546747652338153
% SZS output start Proof for 7859745228546747652338153
1. ! [X0] : (~creative(X0) <=> (~old(X0) <~> happy(X0))) [input p0]
2. ! [X0] : ((~rich(X0) | quiet(X0)) <=> ~generous(X0)) [input p1]
6. (quiet(paul) & ~quiet(paul)) <=> ? [X0] : old(X0) [input p5]
11. ! [X0... | 0 |
If susan is either funny or patient then lucy is generous. Everyone who is both rich and not humble is rich and vice versa. Everyone who is both kind and wise is either not calm or not tall. Everyone who is not wise is either not patient or strong and vice versa. If paul is both kind and not tall then lucy is both not ... | Lucy is old. | neutral | (((funny(susan)<~>patient(susan)))=>(generous(lucy)))&
(![X]:((rich(X)&~humble(X))<=>rich(X)))&
(![X]:((kind(X)&wise(X))=>(~calm(X)<~>~tall(X))))&
(![X]:(~wise(X)<=>(~patient(X)<~>strong(X))))&
(((kind(paul)&~tall(paul)))<=>((~strong(lucy)&rich(lucy))))&
(![X]:((old(X)<~>~wise(X))<=>(patient(X)<~>rich(X))))&
((?[X]:((~... | old(lucy) | [] | null | 0 |
Everyone who is strong is not tall or not curious.
Everyone who is not brave or kind is either generous or not patient.
If lucy is either creative or not wise then someone is humble or wise and vice versa.
If lucy is either patient or not funny then lucy is humble and vice versa.
Everyone who is not kind is either not ... | Fred is not generous. | contradiction | (![X]:(strong(X)=>(~tall(X)|~curious(X))))&
(![X]:((~brave(X)|kind(X))=>(generous(X)<~>~patient(X))))&
(((creative(lucy)<~>~wise(lucy)))<=>(?[X]:((humble(X)|wise(X)))))&
(((patient(lucy)<~>~funny(lucy)))<=>(humble(lucy)))&
(![X]:(~kind(X)<=>(~funny(X)<~>happy(X))))&
(![X]:(~old(X)=>(~wise(X)&~calm(X))))&
((brave(fred))... | ~generous(fred) | [
"p9",
"p11",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5858607784790830570531894
% SZS output start Proof for 5858607784790830570531894
10. ! [X0] : ((generous(X0) & ~funny(X0)) <=> (creative(X0) <~> ~wise(X0))) [input p9]
12. ! [X0] : ((generous(X0) <~> patient(X0)) <=> (quiet(X0) <~> ~wise(X0))) [input p11]
16. ! [X0] : ((~tall(X0) & calm(X... | 0 |
If someone is not curious then paul is not patient or happy and vice versa.
If someone is either not strong or not wise then john is both not patient and funny.
Everyone who is both calm and creative is strong and vice versa.
Everyone who is not calm or patient is not kind and vice versa.
Everyone who is both not rich ... | Susan is not kind. | contradiction | ((?[X]:(~curious(X)))<=>((~patient(paul)|happy(paul))))&
((?[X]:((~strong(X)<~>~wise(X))))=>((~patient(john)&funny(john))))&
(![X]:((calm(X)&creative(X))<=>strong(X)))&
(![X]:((~calm(X)|patient(X))<=>~kind(X)))&
(![X]:((~rich(X)&~funny(X))=>~tall(X)))&
(((~funny(john)<~>calm(john)))<=>((calm(paul)|creative(paul))))&
(!... | ~kind(susan) | [
"p2",
"p6",
"p8",
"p15",
"p17",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 853953399408676571088418
% SZS output start Proof for 853953399408676571088418
3. ! [X0] : ((creative(X0) & calm(X0)) <=> strong(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | humble(X0)) => (curious(X0) & ~calm(X0))) [input p6]
9. ~brave(susan) <=> ? [X0] : (rich(X0) <~> ~strong(X0)) [input ... | 0 |
If fred is either quiet or not patient then someone is both rich and not tall and vice versa.
Everyone who is both not patient and kind is both not quiet and curious and vice versa.
If someone is both tall and not rich then someone is both not quiet and generous.
Everyone who is either calm or not creative is not brave... | Lucy is not calm. | contradiction | (((quiet(fred)<~>~patient(fred)))<=>(?[X]:((rich(X)&~tall(X)))))&
(![X]:((~patient(X)&kind(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((tall(X)&~rich(X))))=>(?[X]:((~quiet(X)&generous(X)))))&
(![X]:((calm(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:((humble(X)&~quiet(X))))<=>((old(lucy)<~>~funny(lucy))))&
(![X]:(... | ~calm(lucy) | [
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3197137651534599741816785
% SZS output start Proof for 3197137651534599741816785
6. ! [X0] : (~calm(X0) => ~strong(X0)) [input p5]
8. ! [X0] : (~humble(X0) => (generous(X0) & humble(X0))) [input p7]
15. ! [X0] : ((funny(X0) | humble(X0)) <=> strong(X0)) [input p14]
25. ~calm(lucy) [input ... | 0 |
Everyone who is both strong and tall is strong and vice versa.
Everyone who is both tall and not strong is not calm and vice versa.
Everyone who is curious is either not humble or not tall.
Everyone who is not tall is either not kind or not curious.
Everyone who is either not wise or funny is both strong and curious an... | Alice is tall. | entailment | (![X]:((strong(X)&tall(X))<=>strong(X)))&
(![X]:((tall(X)&~strong(X))<=>~calm(X)))&
(![X]:(curious(X)=>(~humble(X)<~>~tall(X))))&
(![X]:(~tall(X)=>(~kind(X)<~>~curious(X))))&
(![X]:((~wise(X)<~>funny(X))<=>(strong(X)&curious(X))))&
(![X]:((humble(X)<~>~happy(X))=>funny(X)))&
((?[X]:((wise(X)|~humble(X))))=>((old(john)&... | tall(alice) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2184135723589055821893729
% SZS output start Proof for 2184135723589055821893729
2. ! [X0] : ((~strong(X0) & tall(X0)) <=> ~calm(X0)) [input p1]
16. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (~calm(X0) & old(X0))) [input p15]
24. ~tall(alice) [input hypothesis]
27. ! [X0] : (~calm(X0) => (~... | 0 |
Everyone who is not brave or not happy is not curious or not happy.
If paul is both not strong and not old then someone is both not creative and kind and vice versa.
Everyone who is happy or wise is not happy or rich and vice versa.
Everyone who is old or tall is not happy.
If someone is both not tall and not rich then... | Susan is happy. | contradiction | (![X]:((~brave(X)|~happy(X))=>(~curious(X)|~happy(X))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((happy(X)|wise(X))<=>(~happy(X)|rich(X))))&
(![X]:((old(X)|tall(X))=>~happy(X)))&
((?[X]:((~tall(X)&~rich(X))))=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(wise(X)))<=>((~kind(susan)<~>old(... | happy(susan) | [
"p2",
"p3",
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8668751919161902083750020
% SZS output start Proof for 8668751919161902083750020
3. ! [X0] : ((wise(X0) | happy(X0)) <=> (rich(X0) | ~happy(X0))) [input p2]
4. ! [X0] : ((tall(X0) | old(X0)) => ~happy(X0)) [input p3]
6. ? [X0] : wise(X0) <=> (~kind(susan) <~> old(susan)) [input p5]
16. ! ... | 0 |
Everyone who is calm is both quiet and not generous.
If fred is not humble or old then someone is happy.
Everyone who is calm is calm or not wise.
Everyone who is not creative or not calm is either happy or not patient.
If alice is both not wise and strong then someone is both not rich and not patient.
If mary is not h... | John is patient. | entailment | (![X]:(calm(X)=>(quiet(X)&~generous(X))))&
(((~humble(fred)|old(fred)))=>(?[X]:(happy(X))))&
(![X]:(calm(X)=>(calm(X)|~wise(X))))&
(![X]:((~creative(X)|~calm(X))=>(happy(X)<~>~patient(X))))&
(((~wise(alice)&strong(alice)))=>(?[X]:((~rich(X)&~patient(X)))))&
((~happy(mary))=>(~curious(susan)))&
(![X]:((brave(X)<~>~brave... | patient(john) | [
"p0",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1239802486015567622725998
% SZS output start Proof for 1239802486015567622725998
1. ! [X0] : (calm(X0) => (~generous(X0) & quiet(X0))) [input p0]
4. ! [X0] : ((~calm(X0) | ~creative(X0)) => (happy(X0) <~> ~patient(X0))) [input p3]
8. ! [X0] : (~calm(X0) <=> (~wise(X0) & ~generous(X0))) [i... | 0 |
If someone is either creative or kind then someone is not patient or generous.
If susan is both curious and funny then someone is either quiet or calm.
Everyone who is rich is either not rich or not kind.
Everyone who is kind is either not calm or quiet.
If someone is both old and rich then lucy is both not wise and ca... | Fred is not wise. | neutral | ((?[X]:((creative(X)<~>kind(X))))=>(?[X]:((~patient(X)|generous(X)))))&
(((curious(susan)&funny(susan)))=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:(rich(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(kind(X)=>(~calm(X)<~>quiet(X))))&
((?[X]:((old(X)&rich(X))))<=>((~wise(lucy)&calm(lucy))))&
(![X]:((~generous(X)&rich(X))=>(~brave(X)<... | ~wise(fred) | [] | null | 0 |
Everyone who is brave is both not rich and not generous.
Everyone who is both tall and not tall is humble or quiet and vice versa.
Everyone who is strong is not generous or humble and vice versa.
Everyone who is happy is both not tall and patient.
If someone is not rich then mary is not tall or not brave.
Everyone who ... | Susan is not generous. | contradiction | (![X]:(brave(X)=>(~rich(X)&~generous(X))))&
(![X]:((tall(X)&~tall(X))<=>(humble(X)|quiet(X))))&
(![X]:(strong(X)<=>(~generous(X)|humble(X))))&
(![X]:(happy(X)=>(~tall(X)&patient(X))))&
((?[X]:(~rich(X)))=>((~tall(mary)|~brave(mary))))&
(![X]:(~curious(X)<=>(tall(X)|~calm(X))))&
((?[X]:((curious(X)|kind(X))))<=>(?[X]:((... | ~generous(susan) | [
"p0",
"p1",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4308939220001191546439689
% SZS output start Proof for 4308939220001191546439689
1. ! [X0] : (brave(X0) => (~generous(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~tall(X0) & tall(X0)) <=> (quiet(X0) | humble(X0))) [input p1]
7. ? [X0] : (kind(X0) | curious(X0)) <=> ? [X0] : (~tall(X0) & br... | 0 |
If someone is either not generous or not old then someone is brave.
Everyone who is not funny is not creative and vice versa.
Everyone who is either rich or not tall is either not strong or quiet.
Everyone who is both creative and calm is either old or creative.
Everyone who is both rich and not funny is rich or not st... | John is not strong. | entailment | ((?[X]:((~generous(X)<~>~old(X))))=>(?[X]:(brave(X))))&
(![X]:(~funny(X)<=>~creative(X)))&
(![X]:((rich(X)<~>~tall(X))=>(~strong(X)<~>quiet(X))))&
(![X]:((creative(X)&calm(X))=>(old(X)<~>creative(X))))&
(![X]:((rich(X)&~funny(X))=>(rich(X)|~strong(X))))&
(![X]:((brave(X)&~brave(X))=>~tall(X)))&
(![X]:(rich(X)<=>(~rich(... | ~strong(john) | [
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8662276010940405230901318
% SZS output start Proof for 8662276010940405230901318
7. ! [X0] : (rich(X0) <=> (~generous(X0) | ~rich(X0))) [input p6]
11. ? [X0] : (strong(X0) | ~brave(X0)) => (wise(susan) <~> ~rich(susan)) [input p10]
14. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (patient(X0) ... | 0 |
If someone is either generous or patient then john is wise or not quiet and vice versa.
Everyone who is both funny and strong is generous.
If someone is both wise and not creative then someone is either funny or not patient and vice versa.
Everyone who is not creative or funny is creative or tall and vice versa.
Everyo... | Susan is wise. | entailment | ((?[X]:((generous(X)<~>patient(X))))<=>((wise(john)|~quiet(john))))&
(![X]:((funny(X)&strong(X))=>generous(X)))&
((?[X]:((wise(X)&~creative(X))))<=>(?[X]:((funny(X)<~>~patient(X)))))&
(![X]:((~creative(X)|funny(X))<=>(creative(X)|tall(X))))&
(![X]:((old(X)<~>calm(X))=>(~wise(X)&~calm(X))))&
(![X]:((curious(X)<~>patient... | wise(susan) | [
"p3",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5985473949972816943997329
% SZS output start Proof for 5985473949972816943997329
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (tall(X0) | creative(X0))) [input p3]
7. ! [X0] : ((~wise(X0) | funny(X0)) => ~creative(X0)) [input p6]
9. ! [X0] : (~creative(X0) <=> (funny(X0) <~> ~creative(X0)... | 0 |
Everyone who is either not strong or not curious is either humble or brave.
Everyone who is both patient and rich is not calm and vice versa.
Everyone who is either not calm or tall is both not rich and not curious.
If john is both curious and not quiet then paul is not funny.
Everyone who is either not calm or happy i... | Fred is not kind. | contradiction | (![X]:((~strong(X)<~>~curious(X))=>(humble(X)<~>brave(X))))&
(![X]:((patient(X)&rich(X))<=>~calm(X)))&
(![X]:((~calm(X)<~>tall(X))=>(~rich(X)&~curious(X))))&
(((curious(john)&~quiet(john)))=>(~funny(paul)))&
(![X]:((~calm(X)<~>happy(X))=>(~patient(X)|patient(X))))&
(![X]:((~curious(X)&~patient(X))=>(calm(X)&rich(X))))&... | ~kind(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1068544159103357295788918
% SZS output start Proof for 1068544159103357295788918
10. ! [X0] : ((~kind(X0) | funny(X0)) => (~strong(X0) & kind(X0))) [input p9]
23. ~kind(fred) [input hypothesis]
39. ! [X0] : ((~strong(X0) & kind(X0)) | (kind(X0) & ~funny(X0))) [ennf transformation 10]
107.... | 0 |
If lucy is not rich or strong then lucy is patient and vice versa.
Everyone who is not creative is not curious or not old and vice versa.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funny or not happy and vice versa.
If someone is funny ... | Paul is not creative. | entailment | (((~rich(lucy)|strong(lucy)))<=>(patient(lucy)))&
(![X]:(~creative(X)<=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alice)<~>~brave(alice))))&
(![X]:(~old(X)=>kind(X)))&
(![X]:... | ~creative(paul) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1992890634461500736123088
% SZS output start Proof for 1992890634461500736123088
2. ! [X0] : (~creative(X0) <=> (~old(X0) | ~curious(X0))) [input p1]
3. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p2]
24. creative(paul) [input hypothesis]
27. ! [X0] : ((happy(X0) ... | 0 |
Everyone who is either strong or brave is brave or calm. Everyone who is strong is calm. If someone is either not old or wise then mary is both not funny and not humble. If susan is both humble and rich then someone is not curious or generous. Everyone who is both not generous and not humble is brave or not patient. If... | Fred is strong. | neutral | (![X]:((strong(X)<~>brave(X))=>(brave(X)|calm(X))))&
(![X]:(strong(X)=>calm(X)))&
((?[X]:((~old(X)<~>wise(X))))=>((~funny(mary)&~humble(mary))))&
(((humble(susan)&rich(susan)))=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:((~generous(X)&~humble(X))=>(brave(X)|~patient(X))))&
(((~humble(john)&~wise(john)))=>((tall(fred)<... | strong(fred) | [] | null | 0 |
Everyone who is not wise or not old is not funny or not patient and vice versa.
Everyone who is either not tall or not patient is either calm or wise and vice versa.
Everyone who is both curious and tall is tall or happy and vice versa.
Everyone who is both tall and not brave is either not rich or not wise.
If someone ... | Alice is old. | neutral | (![X]:((~wise(X)|~old(X))<=>(~funny(X)|~patient(X))))&
(![X]:((~tall(X)<~>~patient(X))<=>(calm(X)<~>wise(X))))&
(![X]:((curious(X)&tall(X))<=>(tall(X)|happy(X))))&
(![X]:((tall(X)&~brave(X))=>(~rich(X)<~>~wise(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((wise(X)&~brave(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(~generous(sus... | old(alice) | [] | null | 0 |
Everyone who is patient is both not rich and not patient.
If fred is either not humble or rich then someone is not quiet or not humble.
Everyone who is generous is curious or not brave and vice versa.
Everyone who is not humble is either quiet or not funny and vice versa.
Everyone who is both not happy and wise is eith... | John is not funny. | contradiction | (![X]:(patient(X)=>(~rich(X)&~patient(X))))&
(((~humble(fred)<~>rich(fred)))=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:(generous(X)<=>(curious(X)|~brave(X))))&
(![X]:(~humble(X)<=>(quiet(X)<~>~funny(X))))&
(![X]:((~happy(X)&wise(X))=>(brave(X)<~>~old(X))))&
(![X]:(patient(X)<=>(~strong(X)|~calm(X))))&
(![X]:((tall(X)|cr... | ~funny(john) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 687342568822713571221806
% SZS output start Proof for 687342568822713571221806
1. ! [X0] : (patient(X0) => (~patient(X0) & ~rich(X0))) [input p0]
3. ! [X0] : (generous(X0) <=> (~brave(X0) | curious(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> (quiet(X0) <~> ~funny(X0))) [input p3]
6. ! [... | 0 |
Everyone who is rich or humble is either not brave or not generous and vice versa.
Everyone who is not funny or not patient is calm or not generous.
Everyone who is not quiet is not happy or not quiet and vice versa.
Everyone who is both not curious and not old is both not patient and tall and vice versa.
Everyone who ... | Susan is not calm. | neutral | (![X]:((rich(X)|humble(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:((~funny(X)|~patient(X))=>(calm(X)|~generous(X))))&
(![X]:(~quiet(X)<=>(~happy(X)|~quiet(X))))&
(![X]:((~curious(X)&~old(X))<=>(~patient(X)&tall(X))))&
(![X]:((~curious(X)&~old(X))=>(~quiet(X)|creative(X))))&
((?[X]:((tall(X)<~>strong(X))))<=>(funny(paul)... | ~calm(susan) | [] | null | 0 |
If alice is curious then susan is both not creative and creative.
Everyone who is either curious or not creative is both not tall and calm.
Everyone who is calm is funny or humble and vice versa.
Everyone who is kind is either humble or tall.
If someone is not kind then lucy is brave.
Everyone who is not patient is not... | Alice is wise. | entailment | ((curious(alice))=>((~creative(susan)&creative(susan))))&
(![X]:((curious(X)<~>~creative(X))=>(~tall(X)&calm(X))))&
(![X]:(calm(X)<=>(funny(X)|humble(X))))&
(![X]:(kind(X)=>(humble(X)<~>tall(X))))&
((?[X]:(~kind(X)))=>(brave(lucy)))&
(![X]:(~patient(X)=>(~strong(X)|calm(X))))&
((old(alice))=>(?[X]:(~humble(X))))&
(((wi... | wise(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1909038041467579212666756
% SZS output start Proof for 1909038041467579212666756
20. wise(alice) & ~funny(alice) [input p19]
24. ~wise(alice) [input hypothesis]
123. wise(alice) [cnf transformation 20]
128. ~wise(alice) [cnf transformation 24]
294. 36 <=> wise(alice) [avatar definition]
3... | 0 |
If paul is both wise and generous then fred is both not funny and not curious.
If mary is quiet then someone is either not patient or not tall and vice versa.
Everyone who is both not happy and not brave is either not calm or old and vice versa.
If someone is both old and strong then someone is either not strong or ric... | Alice is not creative. | contradiction | (((wise(paul)&generous(paul)))=>((~funny(fred)&~curious(fred))))&
((quiet(mary))<=>(?[X]:((~patient(X)<~>~tall(X)))))&
(![X]:((~happy(X)&~brave(X))<=>(~calm(X)<~>old(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((~strong(X)<~>rich(X)))))&
((kind(alice))<=>((~humble(susan)<~>humble(susan))))&
((?[X]:((calm(X)|~curious(X)... | ~creative(alice) | [
"p4",
"p11",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4582892524015140843494275
% SZS output start Proof for 4582892524015140843494275
5. kind(alice) <=> (~humble(susan) <~> humble(susan)) [input p4]
12. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (~kind(X0) <~> creative(X0))) [input p11]
15. ? [X0] : (old(X0) | ~humble(X0)) => (kind(alice) <~> s... | 0 |
If someone is generous or humble then someone is either not happy or creative. If someone is both not brave and not happy then mary is old and vice versa. If susan is not creative or funny then susan is not kind or not old. Everyone who is both not kind and not old is not curious or not patient. Everyone who is either ... | Mary is quiet. | neutral | ((?[X]:((generous(X)|humble(X))))=>(?[X]:((~happy(X)<~>creative(X)))))&
((?[X]:((~brave(X)&~happy(X))))<=>(old(mary)))&
(((~creative(susan)|funny(susan)))=>((~kind(susan)|~old(susan))))&
(![X]:((~kind(X)&~old(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>happy(X)))&
((?[X]:((~old(X)<~>patient(X))))<... | quiet(mary) | [] | null | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | Mary is not quiet. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~quiet(mary) | [
"p3",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5307572487300493480927283
% SZS output start Proof for 5307572487300493480927283
4. ? [X0] : (~wise(X0) | ~humble(X0)) <=> (~curious(mary) & funny(mary)) [input p3]
6. ! [X0] : (~kind(X0) <=> (~quiet(X0) | ~humble(X0))) [input p5]
8. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~humble(X0) | h... | 0 |
If susan is not old or not curious then john is not wise or not quiet. Everyone who is strong or calm is both calm and tall and vice versa. If lucy is not wise or not patient then someone is both quiet and brave and vice versa. Everyone who is not quiet or generous is both calm and not happy and vice versa. Everyone wh... | Lucy is calm. | entailment | (((~old(susan)|~curious(susan)))=>((~wise(john)|~quiet(john))))&
(![X]:((strong(X)|calm(X))<=>(calm(X)&tall(X))))&
(((~wise(lucy)|~patient(lucy)))<=>(?[X]:((quiet(X)&brave(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(calm(X)&~happy(X))))&
(![X]:(rich(X)<=>(strong(X)|~humble(X))))&
(![X]:((~brave(X)|funny(X))<=>(~calm(X)<~... | calm(lucy) | [
"p2",
"p3",
"p5",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1716688728566377918466499
% SZS output start Proof for 1716688728566377918466499
3. (~patient(lucy) | ~wise(lucy)) <=> ? [X0] : (brave(X0) & quiet(X0)) [input p2]
4. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (~happy(X0) & calm(X0))) [input p3]
6. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (~c... | 0 |
If lucy is either not humble or not curious then alice is either quiet or strong and vice versa.
If fred is calm then lucy is either not curious or calm and vice versa.
Everyone who is old or tall is both tall and quiet and vice versa.
If lucy is happy then susan is both not strong and curious.
Everyone who is brave is... | Mary is not humble. | neutral | (((~humble(lucy)<~>~curious(lucy)))<=>((quiet(alice)<~>strong(alice))))&
((calm(fred))<=>((~curious(lucy)<~>calm(lucy))))&
(![X]:((old(X)|tall(X))<=>(tall(X)&quiet(X))))&
((happy(lucy))=>((~strong(susan)&curious(susan))))&
(![X]:(brave(X)<=>happy(X)))&
((?[X]:((quiet(X)<~>~creative(X))))=>((rich(alice)|~old(alice))))&
... | ~humble(mary) | [] | null | 0 |
If susan is either not generous or happy then someone is either happy or patient.
If someone is either not tall or not strong then someone is both strong and not quiet and vice versa.
Everyone who is either not wise or not generous is kind or not generous.
If someone is either not happy or brave then someone is not gen... | Mary is not calm. | contradiction | (((~generous(susan)<~>happy(susan)))=>(?[X]:((happy(X)<~>patient(X)))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~wise(X)<~>~generous(X))=>(kind(X)|~generous(X))))&
((?[X]:((~happy(X)<~>brave(X))))=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)<~>~old(X))<=>happy(X)))&
(![X]:((curious... | ~calm(mary) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6985591156130250185822253
% SZS output start Proof for 6985591156130250185822253
13. ! [X0] : ((happy(X0) | kind(X0)) => (calm(X0) & creative(X0))) [input p12]
18. kind(mary) [input p17]
25. ~calm(mary) [input hypothesis]
37. ! [X0] : ((calm(X0) & creative(X0)) | (~happy(X0) & ~kind(X0)))... | 0 |
If mary is both generous and not brave then someone is either generous or not happy.
Everyone who is not strong is both not happy and curious and vice versa.
If mary is happy then mary is not quiet or not creative.
If someone is not tall then someone is either patient or not generous and vice versa.
Everyone who is bot... | Susan is creative. | neutral | (((generous(mary)&~brave(mary)))=>(?[X]:((generous(X)<~>~happy(X)))))&
(![X]:(~strong(X)<=>(~happy(X)&curious(X))))&
((happy(mary))=>((~quiet(mary)|~creative(mary))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)<~>~generous(X)))))&
(![X]:((~strong(X)&calm(X))<=>~wise(X)))&
(![X]:((creative(X)<~>~wise(X))<=>humble(X)))&
(![... | creative(susan) | [] | null | 0 |
Everyone who is wise or not humble is both not brave and quiet and vice versa.
If paul is curious or not brave then alice is not kind or not humble.
If someone is both not calm and rich then someone is either patient or wise.
If susan is not wise then fred is not humble or funny and vice versa.
If lucy is both curious ... | Lucy is old. | entailment | (![X]:((wise(X)|~humble(X))<=>(~brave(X)&quiet(X))))&
(((curious(paul)|~brave(paul)))=>((~kind(alice)|~humble(alice))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:((patient(X)<~>wise(X)))))&
((~wise(susan))<=>((~humble(fred)|funny(fred))))&
(((curious(lucy)&old(lucy)))<=>(?[X]:((~brave(X)|~funny(X)))))&
((~calm(susan))<=>((~... | old(lucy) | [
"p0",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 816097376701809934930559
% SZS output start Proof for 816097376701809934930559
1. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X0) & ~brave(X0))) [input p0]
5. (old(lucy) & curious(lucy)) <=> ? [X0] : (~funny(X0) | ~brave(X0)) [input p4]
8. ! [X0] : (~tall(X0) => ~calm(X0)) [input p7]
11... | 0 |
Everyone who is either not generous or happy is brave or quiet.
If someone is not patient then john is both not rich and rich and vice versa.
If fred is not quiet or wise then john is not rich or funny and vice versa.
Everyone who is either rich or happy is strong or humble.
Everyone who is both curious and not quiet i... | Susan is calm. | entailment | (![X]:((~generous(X)<~>happy(X))=>(brave(X)|quiet(X))))&
((?[X]:(~patient(X)))<=>((~rich(john)&rich(john))))&
(((~quiet(fred)|wise(fred)))<=>((~rich(john)|funny(john))))&
(![X]:((rich(X)<~>happy(X))=>(strong(X)|humble(X))))&
(![X]:((curious(X)&~quiet(X))=>(~old(X)|wise(X))))&
(![X]:((creative(X)|~calm(X))=>(brave(X)|ha... | calm(susan) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 389908394798733923417775
% SZS output start Proof for 389908394798733923417775
11. ? [X0] : generous(X0) => (calm(susan) & kind(susan)) [input p10]
22. rich(alice) & generous(alice) [input p21]
23. ~calm(susan) [input hypothesis]
36. (calm(susan) & kind(susan)) | ! [X0] : ~generous(X0) [e... | 0 |
If someone is both patient and not quiet then mary is both calm and funny and vice versa. Everyone who is either not quiet or not rich is either not patient or happy and vice versa. If john is both not funny and rich then someone is patient and vice versa. If john is both humble and funny then someone is either calm or... | John is not wise. | contradiction | ((?[X]:((patient(X)&~quiet(X))))<=>((calm(mary)&funny(mary))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(~patient(X)<~>happy(X))))&
(((~funny(john)&rich(john)))<=>(?[X]:(patient(X))))&
(((humble(john)&funny(john)))<=>(?[X]:((calm(X)<~>tall(X)))))&
(((~humble(fred)&~patient(fred)))<=>((generous(john)|~happy(john))))&
(![X]:((~p... | ~wise(john) | [
"p2",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9210595555211764555768280
% SZS output start Proof for 9210595555211764555768280
3. (rich(john) & ~funny(john)) <=> ? [X0] : patient(X0) [input p2]
6. ! [X0] : ((strong(X0) & ~patient(X0)) <=> (~funny(X0) & ~strong(X0))) [input p5]
7. ! [X0] : ((funny(X0) & ~creative(X0)) <=> (patient(X0)... | 0 |
Everyone who is both not calm and not brave is either kind or not generous and vice versa.
Everyone who is both tall and not strong is either not calm or generous.
Everyone who is either strong or curious is either not curious or not old.
Everyone who is either rich or not wise is not tall and vice versa.
If fred is bo... | Paul is rich. | entailment | (![X]:((~calm(X)&~brave(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((tall(X)&~strong(X))=>(~calm(X)<~>generous(X))))&
(![X]:((strong(X)<~>curious(X))=>(~curious(X)<~>~old(X))))&
(![X]:((rich(X)<~>~wise(X))<=>~tall(X)))&
(((~strong(fred)&funny(fred)))=>(?[X]:((patient(X)<~>quiet(X)))))&
(((~happy(susan)|wise(susan)))<=>(ca... | rich(paul) | [
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3914005157343580173232930
% SZS output start Proof for 3914005157343580173232930
12. ! [X0] : (~rich(X0) <=> (~calm(X0) & generous(X0))) [input p11]
24. ~generous(paul) & wise(paul) [input p23]
25. ~rich(paul) [input hypothesis]
58. ! [X0] : ((~rich(X0) | (calm(X0) | ~generous(X0))) & ((~... | 0 |
If fred is brave then someone is both tall and not brave and vice versa. Everyone who is patient or calm is creative or kind and vice versa. If someone is not old or strong then someone is rich or quiet. If someone is both not strong and not brave then john is happy. If someone is not generous then lucy is either not g... | Mary is not curious. | contradiction | ((brave(fred))<=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((patient(X)|calm(X))<=>(creative(X)|kind(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>((~generous(lucy)<~>patient(lucy))))&
(![X]:((~tall(X)<~>~generous(X))=>(humble(X... | ~curious(mary) | [
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5636554350876458140357554
% SZS output start Proof for 5636554350876458140357554
10. ! [X0] : ((rich(X0) | ~strong(X0)) => (curious(X0) & ~rich(X0))) [input p9]
12. ! [X0] : ((generous(X0) & quiet(X0)) <=> (calm(X0) | ~wise(X0))) [input p11]
13. ! [X0] : (~calm(X0) <=> (happy(X0) & curiou... | 0 |
If paul is tall then someone is both not calm and calm.
Everyone who is either not wise or patient is both brave and humble.
If john is both wise and happy then fred is not curious or creative and vice versa.
If mary is not humble then someone is patient or tall.
If alice is either wise or creative then paul is not pat... | Fred is rich. | contradiction | ((tall(paul))=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((~wise(X)<~>patient(X))=>(brave(X)&humble(X))))&
(((wise(john)&happy(john)))<=>((~curious(fred)|creative(fred))))&
((~humble(mary))=>(?[X]:((patient(X)|tall(X)))))&
(((wise(alice)<~>creative(alice)))<=>((~patient(paul)|creative(paul))))&
((?[X]:((creative(X)&calm(X)))... | rich(fred) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1877529587360573158278268
% SZS output start Proof for 1877529587360573158278268
7. (~wise(fred) & calm(fred)) <=> ~calm(alice) [input p6]
9. ? [X0] : calm(X0) <=> (~humble(fred) & ~rich(fred)) [input p8]
25. rich(fred) [input hypothesis]
48. ((~wise(fred) & calm(fred)) | calm(alice)) & (... | 0 |
If someone is not patient then fred is not happy.
Everyone who is old is happy or not kind and vice versa.
If someone is not calm or tall then someone is either not humble or not strong and vice versa.
Everyone who is not kind is both wise and not strong.
Everyone who is either old or not curious is either not strong o... | Fred is not old. | entailment | ((?[X]:(~patient(X)))=>(~happy(fred)))&
(![X]:(old(X)<=>(happy(X)|~kind(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(wise(X)&~strong(X))))&
(![X]:((old(X)<~>~curious(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>(?[X]:((~brave(X)<~>brave(X))))... | ~old(fred) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8557229986025677664908092
% SZS output start Proof for 8557229986025677664908092
1. ? [X0] : ~patient(X0) => ~happy(fred) [input p0]
2. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p1]
4. ! [X0] : (~kind(X0) => (~strong(X0) & wise(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~curio... | 0 |
Everyone who is either not funny or not generous is not humble.
Everyone who is both not creative and not kind is either not rich or funny and vice versa.
Everyone who is both tall and not old is both not creative and tall.
Everyone who is either not creative or brave is both not humble and old and vice versa.
Everyone... | Paul is not strong. | contradiction | (![X]:((~funny(X)<~>~generous(X))=>~humble(X)))&
(![X]:((~creative(X)&~kind(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((tall(X)&~old(X))=>(~creative(X)&tall(X))))&
(![X]:((~creative(X)<~>brave(X))<=>(~humble(X)&old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>(kind(X)<~>patient(X))))&
(![X]:(~rich(X)=>(tall(X)<~>~strong(X))))&... | ~strong(paul) | [
"p5",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5721874667915239846514451
% SZS output start Proof for 5721874667915239846514451
6. ! [X0] : (~rich(X0) => (tall(X0) <~> ~strong(X0))) [input p5]
14. ! [X0] : ((tall(X0) & calm(X0)) <=> (wise(X0) | ~generous(X0))) [input p13]
19. ~rich(paul) & generous(paul) [input p18]
22. wise(paul) [in... | 0 |
Everyone who is generous is not patient or calm. If someone is tall or not strong then fred is either creative or not strong and vice versa. If someone is either rich or calm then mary is either patient or not funny and vice versa. Everyone who is either rich or not tall is both kind and not funny. If someone is both o... | Susan is old. | contradiction | (![X]:(generous(X)=>(~patient(X)|calm(X))))&
((?[X]:((tall(X)|~strong(X))))<=>((creative(fred)<~>~strong(fred))))&
((?[X]:((rich(X)<~>calm(X))))<=>((patient(mary)<~>~funny(mary))))&
(![X]:((rich(X)<~>~tall(X))=>(kind(X)&~funny(X))))&
((?[X]:((old(X)&~curious(X))))=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:((~generous(... | old(susan) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1138721214360944864935511
% SZS output start Proof for 1138721214360944864935511
10. ! [X0] : ((~kind(X0) & old(X0)) => (happy(X0) & kind(X0))) [input p9]
18. ~kind(susan) [input p17]
25. old(susan) [input hypothesis]
34. ! [X0] : ((happy(X0) & kind(X0)) | (kind(X0) | ~old(X0))) [ennf tra... | 0 |
If someone is either kind or strong then someone is generous and vice versa.
If paul is either patient or not creative then someone is both not rich and funny and vice versa.
If someone is patient then someone is either not funny or funny.
If someone is generous then mary is brave or not rich and vice versa.
If someone... | Lucy is generous. | contradiction | ((?[X]:((kind(X)<~>strong(X))))<=>(?[X]:(generous(X))))&
(((patient(paul)<~>~creative(paul)))<=>(?[X]:((~rich(X)&funny(X)))))&
((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>funny(X)))))&
((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient... | generous(lucy) | [
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2177589437003112973860161
% SZS output start Proof for 2177589437003112973860161
9. ! [X0] : ((old(X0) | kind(X0)) <=> quiet(X0)) [input p8]
11. ! [X0] : ((generous(X0) | funny(X0)) => ~quiet(X0)) [input p10]
21. old(lucy) & rich(lucy) [input p20]
25. generous(lucy) [input hypothesis]
32.... | 0 |
Everyone who is brave or funny is both not happy and not tall.
If lucy is either not generous or old then mary is not curious and vice versa.
If someone is both happy and not humble then fred is not tall or generous.
Everyone who is kind or humble is both tall and generous.
Everyone who is either funny or kind is not r... | Alice is not calm. | entailment | (![X]:((brave(X)|funny(X))=>(~happy(X)&~tall(X))))&
(((~generous(lucy)<~>old(lucy)))<=>(~curious(mary)))&
((?[X]:((happy(X)&~humble(X))))=>((~tall(fred)|generous(fred))))&
(![X]:((kind(X)|humble(X))=>(tall(X)&generous(X))))&
(![X]:((funny(X)<~>kind(X))<=>(~rich(X)|~quiet(X))))&
(((~curious(alice)|~rich(alice)))<=>(?[X]... | ~calm(alice) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1573272257710660056964449
% SZS output start Proof for 1573272257710660056964449
1. ! [X0] : ((funny(X0) | brave(X0)) => (~tall(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((humble(X0) | kind(X0)) => (generous(X0) & tall(X0))) [input p3]
5. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~quiet(X0)... | 0 |
If mary is not funny then susan is both not wise and not happy.
Everyone who is either generous or happy is old.
If paul is either tall or not strong then susan is both rich and not humble.
Everyone who is either creative or not quiet is both old and curious and vice versa.
Everyone who is either brave or wise is both ... | Lucy is not happy. | neutral | ((~funny(mary))=>((~wise(susan)&~happy(susan))))&
(![X]:((generous(X)<~>happy(X))=>old(X)))&
(((tall(paul)<~>~strong(paul)))=>((rich(susan)&~humble(susan))))&
(![X]:((creative(X)<~>~quiet(X))<=>(old(X)&curious(X))))&
(![X]:((brave(X)<~>wise(X))<=>(strong(X)&~rich(X))))&
(![X]:((~creative(X)&kind(X))<=>(funny(X)&calm(X)... | ~happy(lucy) | [] | null | 0 |
Everyone who is either old or not happy is both curious and not funny and vice versa. If fred is quiet then someone is not strong or kind. Everyone who is both not curious and not humble is humble and vice versa. Everyone who is wise is not tall. If someone is either quiet or not strong then someone is either tall or q... | John is not strong. | contradiction | (![X]:((old(X)<~>~happy(X))<=>(curious(X)&~funny(X))))&
((quiet(fred))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~curious(X)&~humble(X))<=>humble(X)))&
(![X]:(wise(X)=>~tall(X)))&
((?[X]:((quiet(X)<~>~strong(X))))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:(~happy(X)=>(creative(X)&~rich(X))))&
((?[X]:(calm(X)))<=>(?[X]:((st... | ~strong(john) | [
"p2",
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1003743686169057220121811
% SZS output start Proof for 1003743686169057220121811
3. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> humble(X0)) [input p2]
5. ? [X0] : (quiet(X0) <~> ~strong(X0)) => ? [X0] : (tall(X0) <~> quiet(X0)) [input p4]
14. ! [X0] : ((tall(X0) | kind(X0)) <=> (funny(X0) ... | 0 |
If lucy is either not humble or not curious then alice is either quiet or strong and vice versa.
If fred is calm then lucy is either not curious or calm and vice versa.
Everyone who is old or tall is both tall and quiet and vice versa.
If lucy is happy then susan is both not strong and curious.
Everyone who is brave is... | Fred is rich. | neutral | (((~humble(lucy)<~>~curious(lucy)))<=>((quiet(alice)<~>strong(alice))))&
((calm(fred))<=>((~curious(lucy)<~>calm(lucy))))&
(![X]:((old(X)|tall(X))<=>(tall(X)&quiet(X))))&
((happy(lucy))=>((~strong(susan)&curious(susan))))&
(![X]:(brave(X)<=>happy(X)))&
((?[X]:((quiet(X)<~>~creative(X))))=>((rich(alice)|~old(alice))))&
... | rich(fred) | [] | null | 0 |
Everyone who is generous or not curious is both not quiet and creative and vice versa.
Everyone who is either not happy or wise is generous and vice versa.
If lucy is either not rich or not tall then someone is either generous or not funny and vice versa.
Everyone who is either not generous or not creative is both kind... | Paul is not rich. | contradiction | (![X]:((generous(X)|~curious(X))<=>(~quiet(X)&creative(X))))&
(![X]:((~happy(X)<~>wise(X))<=>generous(X)))&
(((~rich(lucy)<~>~tall(lucy)))<=>(?[X]:((generous(X)<~>~funny(X)))))&
(![X]:((~generous(X)<~>~creative(X))<=>(kind(X)&~brave(X))))&
(![X]:((~rich(X)&calm(X))<=>(~wise(X)&happy(X))))&
((?[X]:((curious(X)&creative(... | ~rich(paul) | [
"p4",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5764617926692753543347313
% SZS output start Proof for 5764617926692753543347313
5. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (happy(X0) & ~wise(X0))) [input p4]
10. ! [X0] : ((rich(X0) & ~calm(X0)) <=> (~rich(X0) <~> ~wise(X0))) [input p9]
15. calm(alice) => (rich(paul) & creative(paul)) [inp... | 0 |
Everyone who is both not curious and kind is creative and vice versa. Everyone who is not old is not brave and vice versa. Everyone who is both not old and wise is rich or not old. If someone is not brave or not patient then fred is old and vice versa. If lucy is not creative then fred is not wise and vice versa. Every... | Fred is not brave. | contradiction | (![X]:((~curious(X)&kind(X))<=>creative(X)))&
(![X]:(~old(X)<=>~brave(X)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curious(X))))&
(![X]... | ~brave(fred) | [
"p1",
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6515515567012032238866050
% SZS output start Proof for 6515515567012032238866050
2. ! [X0] : (~old(X0) <=> ~brave(X0)) [input p1]
4. ? [X0] : (~patient(X0) | ~brave(X0)) <=> old(fred) [input p3]
20. ? [X0] : ~patient(X0) [input p19]
23. ~brave(fred) [input hypothesis]
35. ! [X0] : ((~old(... | 0 |
Everyone who is not happy is not generous and vice versa.
Everyone who is not tall or not calm is both old and not strong and vice versa.
Everyone who is not creative is both humble and old.
If mary is not strong or not humble then john is either not strong or calm.
If alice is either calm or tall then paul is curious ... | Susan is brave. | neutral | (![X]:(~happy(X)<=>~generous(X)))&
(![X]:((~tall(X)|~calm(X))<=>(old(X)&~strong(X))))&
(![X]:(~creative(X)=>(humble(X)&old(X))))&
(((~strong(mary)|~humble(mary)))=>((~strong(john)<~>calm(john))))&
(((calm(alice)<~>tall(alice)))<=>(curious(paul)))&
(![X]:((~quiet(X)<~>~rich(X))=>(curious(X)&~brave(X))))&
((?[X]:((~old(X... | brave(susan) | [] | null | 0 |
Everyone who is both not brave and not calm is patient. Everyone who is generous or calm is old and vice versa. If someone is either not rich or not generous then someone is both not happy and old and vice versa. Everyone who is curious or not rich is either not humble or not quiet and vice versa. If alice is curious t... | Fred is not calm. | contradiction | (![X]:((~brave(X)&~calm(X))=>patient(X)))&
(![X]:((generous(X)|calm(X))<=>old(X)))&
((?[X]:((~rich(X)<~>~generous(X))))<=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((curious(X)|~rich(X))<=>(~humble(X)<~>~quiet(X))))&
((curious(alice))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((~generous(X)&~quiet(X))<=>~calm(X)))&
(![X]... | ~calm(fred) | [
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2840128968327701475463298
% SZS output start Proof for 2840128968327701475463298
6. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> ~calm(X0)) [input p5]
12. ! [X0] : ((old(X0) | ~funny(X0)) => quiet(X0)) [input p11]
19. ~wise(fred) & ~funny(fred) [input p18]
25. ~calm(fred) [input hypothesis]... | 0 |
If someone is either not quiet or not funny then mary is funny.
Everyone who is not rich or humble is both brave and tall.
Everyone who is not strong is generous or not rich and vice versa.
If someone is both not tall and not calm then someone is calm.
Everyone who is calm or not brave is quiet.
If someone is both quie... | Paul is not humble. | neutral | ((?[X]:((~quiet(X)<~>~funny(X))))=>(funny(mary)))&
(![X]:((~rich(X)|humble(X))=>(brave(X)&tall(X))))&
(![X]:(~strong(X)<=>(generous(X)|~rich(X))))&
((?[X]:((~tall(X)&~calm(X))))=>(?[X]:(calm(X))))&
(![X]:((calm(X)|~brave(X))=>quiet(X)))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~rich... | ~humble(paul) | [] | null | 0 |
Everyone who is either not happy or strong is both happy and calm.
Everyone who is either not brave or not strong is quiet.
Everyone who is both calm and not humble is not happy and vice versa.
If paul is wise then someone is either generous or patient.
Everyone who is not creative or not funny is not brave or rich.
Ev... | Paul is not wise. | neutral | (![X]:((~happy(X)<~>strong(X))=>(happy(X)&calm(X))))&
(![X]:((~brave(X)<~>~strong(X))=>quiet(X)))&
(![X]:((calm(X)&~humble(X))<=>~happy(X)))&
((wise(paul))=>(?[X]:((generous(X)<~>patient(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~brave(X)|rich(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:(~tall(X)<=>(creative(X)|funny(X))... | ~wise(paul) | [] | null | 0 |
Everyone who is old is either happy or humble and vice versa.
If lucy is strong or generous then mary is both generous and not wise.
Everyone who is not brave or strong is either strong or not calm and vice versa.
Everyone who is either not rich or not happy is either not brave or not old.
Everyone who is not creative ... | Mary is not old. | contradiction | (![X]:(old(X)<=>(happy(X)<~>humble(X))))&
(((strong(lucy)|generous(lucy)))=>((generous(mary)&~wise(mary))))&
(![X]:((~brave(X)|strong(X))<=>(strong(X)<~>~calm(X))))&
(![X]:((~rich(X)<~>~happy(X))=>(~brave(X)<~>~old(X))))&
(![X]:((~creative(X)|rich(X))=>~curious(X)))&
((?[X]:((~funny(X)&rich(X))))<=>(?[X]:((kind(X)|~cre... | ~old(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8814978763487486572529445
% SZS output start Proof for 8814978763487486572529445
7. ! [X0] : ((~old(X0) | ~brave(X0)) <=> (kind(X0) & ~kind(X0))) [input p6]
25. ~old(mary) [input hypothesis]
48. ! [X0] : (((~old(X0) | ~brave(X0)) | (~kind(X0) | kind(X0))) & ((kind(X0) & ~kind(X0)) | (old(... | 0 |
Everyone who is both not generous and not patient is not brave.
If someone is generous or calm then someone is both curious and not calm and vice versa.
If someone is not calm or not generous then someone is either not quiet or happy and vice versa.
Everyone who is both patient and quiet is patient and vice versa.
Ever... | Alice is tall. | contradiction | (![X]:((~generous(X)&~patient(X))=>~brave(X)))&
((?[X]:((generous(X)|calm(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
(![X]:((patient(X)&quiet(X))<=>patient(X)))&
(![X]:((tall(X)&~kind(X))<=>(~tall(X)<~>~generous(X))))&
((?[X]:((humble(X)|~wise(X))))<=>... | tall(alice) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5920794957477226065979425
% SZS output start Proof for 5920794957477226065979425
8. ! [X0] : ((~strong(X0) | ~kind(X0)) => (~happy(X0) & happy(X0))) [input p7]
15. ! [X0] : ((~strong(X0) | tall(X0)) <=> (kind(X0) & ~kind(X0))) [input p14]
23. tall(alice) [input hypothesis]
34. ! [X0] : ((... | 0 |
Everyone who is both not creative and quiet is not calm or not brave and vice versa.
If lucy is both quiet and kind then someone is both not curious and not wise and vice versa.
Everyone who is both brave and rich is not patient.
If someone is both kind and curious then alice is both not kind and creative.
If someone i... | Fred is patient. | neutral | (![X]:((~creative(X)&quiet(X))<=>(~calm(X)|~brave(X))))&
(((quiet(lucy)&kind(lucy)))<=>(?[X]:((~curious(X)&~wise(X)))))&
(![X]:((brave(X)&rich(X))=>~patient(X)))&
((?[X]:((kind(X)&curious(X))))=>((~kind(alice)&creative(alice))))&
((?[X]:((brave(X)&rich(X))))<=>(~rich(fred)))&
(![X]:((rich(X)&funny(X))<=>(~creative(X)|~... | patient(fred) | [] | null | 0 |
Everyone who is funny is quiet.
If lucy is not patient then someone is tall or happy and vice versa.
Everyone who is both not wise and wise is either kind or not calm.
Everyone who is either calm or not wise is both not patient and humble and vice versa.
If lucy is funny or not patient then someone is not funny or rich... | Lucy is brave. | entailment | (![X]:(funny(X)=>quiet(X)))&
((~patient(lucy))<=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((~wise(X)&wise(X))=>(kind(X)<~>~calm(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(~patient(X)&humble(X))))&
(((funny(lucy)|~patient(lucy)))<=>(?[X]:((~funny(X)|rich(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((funny(X)|old(X)))))&
(![X]:(~rich(X)<=>~... | brave(lucy) | [
"p6",
"p10",
"p11",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 971748505588457021558227
% SZS output start Proof for 971748505588457021558227
7. ! [X0] : (~rich(X0) <=> ~humble(X0)) [input p6]
11. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (tall(X0) | ~curious(X0))) [input p10]
12. ! [X0] : ((humble(X0) <~> brave(X0)) => (curious(X0) & ~humble(X0))) [... | 0 |
If fred is both not happy and happy then alice is kind or not generous.
If someone is either creative or funny then susan is not happy.
Everyone who is either not brave or not humble is either strong or not tall and vice versa.
Everyone who is strong or rich is not creative and vice versa.
If john is both funny and bra... | Lucy is not creative. | entailment | (((~happy(fred)&happy(fred)))=>((kind(alice)|~generous(alice))))&
((?[X]:((creative(X)<~>funny(X))))=>(~happy(susan)))&
(![X]:((~brave(X)<~>~humble(X))<=>(strong(X)<~>~tall(X))))&
(![X]:((strong(X)|rich(X))<=>~creative(X)))&
(((funny(john)&brave(john)))=>((~brave(fred)|~rich(fred))))&
((?[X]:((~kind(X)&~tall(X))))<=>(?... | ~creative(lucy) | [
"p3",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2975831551973674084261696
% SZS output start Proof for 2975831551973674084261696
4. ! [X0] : ((rich(X0) | strong(X0)) <=> ~creative(X0)) [input p3]
10. ? [X0] : (~funny(X0) <~> ~rich(X0)) => ? [X0] : (~kind(X0) & kind(X0)) [input p9]
12. ~funny(lucy) => (kind(susan) & calm(susan)) [input ... | 0 |
Everyone who is not humble or not kind is not humble. Everyone who is creative or not old is both not patient and strong. If someone is not happy or humble then lucy is not happy or not old. Everyone who is not generous is either humble or happy. If susan is tall then lucy is funny or brave and vice versa. Everyone who... | Paul is kind. | entailment | (![X]:((~humble(X)|~kind(X))=>~humble(X)))&
(![X]:((creative(X)|~old(X))=>(~patient(X)&strong(X))))&
((?[X]:((~happy(X)|humble(X))))=>((~happy(lucy)|~old(lucy))))&
(![X]:(~generous(X)=>(humble(X)<~>happy(X))))&
((tall(susan))<=>((funny(lucy)|brave(lucy))))&
(![X]:((tall(X)&generous(X))<=>(brave(X)<~>~curious(X))))&
(![... | kind(paul) | [
"p0",
"p1",
"p6",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8028630194728177154187850
% SZS output start Proof for 8028630194728177154187850
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : ((~old(X0) | creative(X0)) => (strong(X0) & ~patient(X0))) [input p1]
7. ! [X0] : ((humble(X0) <~> ~kind(X0)) => creative(X0)) [in... | 0 |
Everyone who is either old or generous is both not tall and kind.
If someone is both not happy and not strong then mary is curious or not rich and vice versa.
If someone is not kind then fred is either not curious or not creative and vice versa.
If someone is generous or tall then someone is both funny and not creative... | Mary is not patient. | contradiction | (![X]:((old(X)<~>generous(X))=>(~tall(X)&kind(X))))&
((?[X]:((~happy(X)&~strong(X))))<=>((curious(mary)|~rich(mary))))&
((?[X]:(~kind(X)))<=>((~curious(fred)<~>~creative(fred))))&
((?[X]:((generous(X)|tall(X))))=>(?[X]:((funny(X)&~creative(X)))))&
(![X]:(curious(X)<=>(brave(X)&creative(X))))&
(![X]:((~wise(X)|funny(X))... | ~patient(mary) | [
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4749800451660789418243988
% SZS output start Proof for 4749800451660789418243988
6. ! [X0] : ((funny(X0) | ~wise(X0)) => (patient(X0) & ~calm(X0))) [input p5]
13. ! [X0] : ((~humble(X0) | wise(X0)) <=> (~kind(X0) & funny(X0))) [input p12]
19. wise(mary) [input p18]
24. ~patient(mary) [inp... | 0 |
If someone is kind then lucy is either not strong or creative. If someone is either not strong or not brave then john is not wise or not creative and vice versa. If someone is generous or happy then someone is both not strong and curious. Everyone who is curious is not wise and vice versa. Everyone who is not wise is b... | John is not tall. | contradiction | ((?[X]:(kind(X)))=>((~strong(lucy)<~>creative(lucy))))&
((?[X]:((~strong(X)<~>~brave(X))))<=>((~wise(john)|~creative(john))))&
((?[X]:((generous(X)|happy(X))))=>(?[X]:((~strong(X)&curious(X)))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:(~wise(X)=>(~quiet(X)&~curious(X))))&
(![X]:((kind(X)|~creative(X))<=>(humble(X)|~calm... | ~tall(john) | [
"p3",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1856693756050847657910657
% SZS output start Proof for 1856693756050847657910657
4. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p3]
5. ! [X0] : (~wise(X0) => (~curious(X0) & ~quiet(X0))) [input p4]
14. ! [X0] : (~curious(X0) <=> tall(X0)) [input p13]
22. ~tall(john) [input hypothesis]
29.... | 0 |
If alice is not generous or not creative then someone is both not old and tall and vice versa.
If susan is either old or not curious then mary is both not humble and funny and vice versa.
Everyone who is either not wise or curious is both curious and not creative.
If lucy is not funny then someone is quiet.
Everyone wh... | Lucy is not creative. | neutral | (((~generous(alice)|~creative(alice)))<=>(?[X]:((~old(X)&tall(X)))))&
(((old(susan)<~>~curious(susan)))<=>((~humble(mary)&funny(mary))))&
(![X]:((~wise(X)<~>curious(X))=>(curious(X)&~creative(X))))&
((~funny(lucy))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)|~wise(X))<=>(~calm(X)<~>~humble(X))))&
((?[X]:((generous(X)|~curi... | ~creative(lucy) | [] | null | 0 |
Everyone who is not creative or not wise is both curious and quiet and vice versa.
Everyone who is both not brave and not generous is not rich or wise.
Everyone who is both patient and brave is not creative or not quiet.
If someone is either not wise or humble then alice is not creative and vice versa.
If someone is cu... | Susan is not curious. | contradiction | (![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((patient(X)&brave(X))=>(~creative(X)|~quiet(X))))&
((?[X]:((~wise(X)<~>humble(X))))<=>(~creative(alice)))&
((?[X]:(curious(X)))=>((creative(mary)&~tall(mary))))&
(![X]:(quiet(X)=>(happy(X)&curious(X))... | ~curious(susan) | [
"p0",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4481313527887217335219117
% SZS output start Proof for 4481313527887217335219117
1. ! [X0] : ((~wise(X0) | ~creative(X0)) <=> (quiet(X0) & curious(X0))) [input p0]
13. ! [X0] : ((~creative(X0) | kind(X0)) <=> (~rich(X0) | ~curious(X0))) [input p12]
23. ~kind(susan) [input p22]
24. ~curiou... | 0 |
If someone is strong or not curious then fred is both quiet and old and vice versa. Everyone who is not generous or calm is either happy or brave and vice versa. Everyone who is both funny and not funny is kind and vice versa. Everyone who is not calm or calm is either kind or not calm and vice versa. If susan is both ... | Mary is quiet. | entailment | ((?[X]:((strong(X)|~curious(X))))<=>((quiet(fred)&old(fred))))&
(![X]:((~generous(X)|calm(X))<=>(happy(X)<~>brave(X))))&
(![X]:((funny(X)&~funny(X))<=>kind(X)))&
(![X]:((~calm(X)|calm(X))<=>(kind(X)<~>~calm(X))))&
(((~quiet(susan)&curious(susan)))<=>(?[X]:((strong(X)<~>tall(X)))))&
((~quiet(susan))=>(?[X]:((~strong(X)&... | quiet(mary) | [
"p1",
"p2",
"p3",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7894159452680446546253654
% SZS output start Proof for 7894159452680446546253654
2. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (happy(X0) <~> brave(X0))) [input p1]
3. ! [X0] : ((~funny(X0) & funny(X0)) <=> kind(X0)) [input p2]
4. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (kind(X0) <~> ~calm(X0)... | 0 |
Everyone who is kind is either curious or not funny. If someone is either not generous or tall then someone is both happy and calm. If alice is either not rich or tall then fred is both happy and rich and vice versa. Everyone who is both not brave and quiet is not generous or curious. Everyone who is not kind or not hu... | Fred is not strong. | entailment | (![X]:(kind(X)=>(curious(X)<~>~funny(X))))&
((?[X]:((~generous(X)<~>tall(X))))=>(?[X]:((happy(X)&calm(X)))))&
(((~rich(alice)<~>tall(alice)))<=>((happy(fred)&rich(fred))))&
(![X]:((~brave(X)&quiet(X))=>(~generous(X)|curious(X))))&
(![X]:((~kind(X)|~humble(X))<=>(~happy(X)&rich(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>... | ~strong(fred) | [
"p0",
"p4",
"p10",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3602841387972749250107460
% SZS output start Proof for 3602841387972749250107460
1. ! [X0] : (kind(X0) => (curious(X0) <~> ~funny(X0))) [input p0]
5. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> (rich(X0) & ~happy(X0))) [input p4]
11. ! [X0] : (~funny(X0) => (~generous(X0) <~> curious(X0))) [i... | 0 |
Everyone who is not wise or calm is tall or not brave. If someone is both not tall and rich then john is either not kind or not creative. Everyone who is not strong or quiet is not brave and vice versa. Everyone who is not quiet or not humble is kind or creative. Everyone who is both not humble and strong is curious an... | Alice is not happy. | neutral | (![X]:((~wise(X)|calm(X))=>(tall(X)|~brave(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~kind(john)<~>~creative(john))))&
(![X]:((~strong(X)|quiet(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)&strong(X))<=>curious(X)))&
(![X]:(brave(X)<=>(creative(X)&~strong(X))))&
(![X]:((happ... | ~happy(alice) | [] | null | 0 |
Everyone who is both not rich and not old is tall or not tall. If mary is humble then someone is curious. Everyone who is calm or curious is either kind or not rich and vice versa. If alice is not creative then susan is curious or not calm. If someone is both not kind and creative then john is calm and vice versa. If m... | Fred is not curious. | entailment | (![X]:((~rich(X)&~old(X))=>(tall(X)|~tall(X))))&
((humble(mary))=>(?[X]:(curious(X))))&
(![X]:((calm(X)|curious(X))<=>(kind(X)<~>~rich(X))))&
((~creative(alice))=>((curious(susan)|~calm(susan))))&
((?[X]:((~kind(X)&creative(X))))<=>(calm(john)))&
(((~rich(mary)|creative(mary)))=>(~funny(alice)))&
(((patient(paul)|stron... | ~curious(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2664546218159019080430566
% SZS output start Proof for 2664546218159019080430566
16. ! [X0] : ((~happy(X0) & happy(X0)) <=> (curious(X0) | ~rich(X0))) [input p15]
23. curious(fred) [input hypothesis]
68. ! [X0] : (((~happy(X0) & happy(X0)) | (~curious(X0) & rich(X0))) & ((curious(X0) | ~r... | 0 |
If someone is either not tall or old then someone is either calm or funny and vice versa.
Everyone who is not brave or quiet is both not brave and not funny.
If someone is rich or strong then lucy is not funny and vice versa.
Everyone who is not quiet is both not strong and creative and vice versa.
If lucy is both not ... | Lucy is not calm. | entailment | ((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~brave(X)|quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((rich(X)|strong(X))))<=>(~funny(lucy)))&
(![X]:(~quiet(X)<=>(~strong(X)&creative(X))))&
(((~curious(lucy)&~creative(lucy)))=>(?[X]:((~creative(X)&rich(X)))))&
(![X]:((~kind(X)|generous(X))<=>(qu... | ~calm(lucy) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"p11",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1874980764326651088445818
% SZS output start Proof for 1874980764326651088445818
1. ? [X0] : (~tall(X0) <~> old(X0)) <=> ? [X0] : (calm(X0) <~> funny(X0)) [input p0]
3. ? [X0] : (strong(X0) | rich(X0)) <=> ~funny(lucy) [input p2]
4. ! [X0] : (~quiet(X0) <=> (creative(X0) & ~strong(X0))) [... | 0 |
Everyone who is both not patient and brave is either creative or curious. If someone is not creative then susan is humble. Everyone who is quiet or not strong is either not tall or calm. Everyone who is tall or kind is generous and vice versa. Everyone who is both not tall and not quiet is brave. If john is not humble ... | Mary is calm. | contradiction | (![X]:((~patient(X)&brave(X))=>(creative(X)<~>curious(X))))&
((?[X]:(~creative(X)))=>(humble(susan)))&
(![X]:((quiet(X)|~strong(X))=>(~tall(X)<~>calm(X))))&
(![X]:((tall(X)|kind(X))<=>generous(X)))&
(![X]:((~tall(X)&~quiet(X))=>brave(X)))&
(((~humble(john)|patient(john)))=>(?[X]:((rich(X)|~generous(X)))))&
((?[X]:(~hum... | calm(mary) | [
"p1",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8050524912982801902868131
% SZS output start Proof for 8050524912982801902868131
2. ? [X0] : ~creative(X0) => humble(susan) [input p1]
11. ! [X0] : ((humble(X0) | kind(X0)) => (kind(X0) & ~creative(X0))) [input p10]
16. ! [X0] : (calm(X0) => (patient(X0) & kind(X0))) [input p15]
24. ~humb... | 0 |
Everyone who is rich is both humble and not calm.
If someone is not old or not curious then lucy is rich and vice versa.
If someone is either not patient or brave then someone is both generous and not creative.
Everyone who is both funny and quiet is both patient and quiet and vice versa.
If fred is both not tall and n... | Fred is quiet. | neutral | (![X]:(rich(X)=>(humble(X)&~calm(X))))&
((?[X]:((~old(X)|~curious(X))))<=>(rich(lucy)))&
((?[X]:((~patient(X)<~>brave(X))))=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((funny(X)&quiet(X))<=>(patient(X)&quiet(X))))&
(((~tall(fred)&~strong(fred)))<=>((funny(fred)<~>~funny(fred))))&
(![X]:((~generous(X)<~>~brave(X))<=>(... | quiet(fred) | [] | null | 0 |
Everyone who is either not creative or not generous is not happy. Everyone who is not tall or not generous is both not old and not patient. Everyone who is rich or creative is old or not patient and vice versa. Everyone who is either not old or kind is not creative or not humble and vice versa. If someone is not strong... | John is not old. | entailment | (![X]:((~creative(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)|~generous(X))=>(~old(X)&~patient(X))))&
(![X]:((rich(X)|creative(X))<=>(old(X)|~patient(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~creative(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>funny(X))))<=>(?[X]:((... | ~old(john) | [
"p3",
"p8",
"p9",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1900440083253168431920032
% SZS output start Proof for 1900440083253168431920032
4. ! [X0] : ((~old(X0) <~> kind(X0)) <=> (~humble(X0) | ~creative(X0))) [input p3]
9. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (brave(X0) | humble(X0))) [input p8]
10. ! [X0] : (calm(X0) <=> brave(X0)) [input... | 0 |
Everyone who is either not rich or not strong is not generous or not strong. Everyone who is both not strong and not calm is either not humble or humble. Everyone who is curious or humble is not curious and vice versa. If lucy is both brave and tall then someone is not patient and vice versa. Everyone who is not tall o... | Mary is not quiet. | entailment | (![X]:((~rich(X)<~>~strong(X))=>(~generous(X)|~strong(X))))&
(![X]:((~strong(X)&~calm(X))=>(~humble(X)<~>humble(X))))&
(![X]:((curious(X)|humble(X))<=>~curious(X)))&
(((brave(lucy)&tall(lucy)))<=>(?[X]:(~patient(X))))&
(![X]:((~tall(X)|~rich(X))=>wise(X)))&
((?[X]:((~funny(X)<~>~curious(X))))<=>(?[X]:((~curious(X)|curi... | ~quiet(mary) | [
"p2",
"p8",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 395552678612028863710319
% SZS output start Proof for 395552678612028863710319
3. ! [X0] : ((humble(X0) | curious(X0)) <=> ~curious(X0)) [input p2]
9. ! [X0] : ((~strong(X0) | humble(X0)) => (~calm(X0) & ~wise(X0))) [input p8]
12. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p11]
16. wise(ali... | 0 |
If mary is not funny or not generous then someone is quiet and vice versa.
If mary is curious then someone is wise or funny.
Everyone who is not humble is brave or not quiet and vice versa.
Everyone who is both wise and not generous is not strong or wise and vice versa.
Everyone who is wise is funny or wise and vice ve... | Lucy is calm. | entailment | (((~funny(mary)|~generous(mary)))<=>(?[X]:(quiet(X))))&
((curious(mary))=>(?[X]:((wise(X)|funny(X)))))&
(![X]:(~humble(X)<=>(brave(X)|~quiet(X))))&
(![X]:((wise(X)&~generous(X))<=>(~strong(X)|wise(X))))&
(![X]:(wise(X)<=>(funny(X)|wise(X))))&
(((kind(alice)&happy(alice)))=>(?[X]:((~kind(X)&quiet(X)))))&
(((~old(susan)&... | calm(lucy) | [
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4606894052878318270974380
% SZS output start Proof for 4606894052878318270974380
10. ! [X0] : (humble(X0) <=> (~calm(X0) & calm(X0))) [input p9]
11. ! [X0] : ((creative(X0) | ~curious(X0)) <=> (~old(X0) & ~patient(X0))) [input p10]
15. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> (creative(X0) &... | 0 |
Everyone who is both not happy and not patient is not kind and vice versa. If someone is both creative and not creative then alice is not creative. If lucy is either not curious or old then alice is rich or quiet and vice versa. Everyone who is either humble or old is either strong or kind and vice versa. If someone is... | Susan is quiet. | contradiction | (![X]:((~happy(X)&~patient(X))<=>~kind(X)))&
((?[X]:((creative(X)&~creative(X))))=>(~creative(alice)))&
(((~curious(lucy)<~>old(lucy)))<=>((rich(alice)|quiet(alice))))&
(![X]:((humble(X)<~>old(X))<=>(strong(X)<~>kind(X))))&
((?[X]:((curious(X)<~>humble(X))))=>(~curious(lucy)))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:((... | quiet(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9118687529133038849719686
% SZS output start Proof for 9118687529133038849719686
7. ! [X0] : (quiet(X0) <=> (~funny(X0) & ~quiet(X0))) [input p6]
24. quiet(susan) [input hypothesis]
50. ! [X0] : ((quiet(X0) | (funny(X0) | quiet(X0))) & ((~funny(X0) & ~quiet(X0)) | ~quiet(X0))) [nnf transf... | 0 |
Everyone who is not patient or quiet is patient and vice versa. Everyone who is strong or not old is not funny and vice versa. Everyone who is not calm or happy is curious or generous and vice versa. If alice is generous or not quiet then someone is not happy and vice versa. Everyone who is both humble and not strong i... | Alice is not calm. | entailment | (![X]:((~patient(X)|quiet(X))<=>patient(X)))&
(![X]:((strong(X)|~old(X))<=>~funny(X)))&
(![X]:((~calm(X)|happy(X))<=>(curious(X)|generous(X))))&
(((generous(alice)|~quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((humble(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((~strong(X)<~>c... | ~calm(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3139706467440620311751763
% SZS output start Proof for 3139706467440620311751763
1. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p0]
2. ! [X0] : ((~old(X0) | strong(X0)) <=> ~funny(X0)) [input p1]
3. ! [X0] : ((happy(X0) | ~calm(X0)) <=> (generous(X0) | curious(X0))) [inpu... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either not funny or not creative is happy or brave. Everyone who is not rich is either not creative or not wise and vice versa. Everyone who is both tall and kind is both brave and not curious. Everyone who is either not brave or not old ... | Paul is curious. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(happy(X)|brave(X))))&
(![X]:(~rich(X)<=>(~creative(X)<~>~wise(X))))&
(![X]:((tall(X)&kind(X))=>(brave(X)&~curious(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~rich(X)&kind(X))))&
((?[X]:((patient(X)<~>quiet(X))))<=>(?[X]:((~generous(X)|~hu... | curious(paul) | [] | null | 0 |
Everyone who is both not old and tall is not old or not creative and vice versa.
If alice is both humble and not wise then someone is rich.
If someone is either not strong or kind then susan is either old or tall.
Everyone who is either not generous or brave is not patient or brave and vice versa.
If alice is generous ... | John is not rich. | contradiction | (![X]:((~old(X)&tall(X))<=>(~old(X)|~creative(X))))&
(((humble(alice)&~wise(alice)))=>(?[X]:(rich(X))))&
((?[X]:((~strong(X)<~>kind(X))))=>((old(susan)<~>tall(susan))))&
(![X]:((~generous(X)<~>brave(X))<=>(~patient(X)|brave(X))))&
((generous(alice))=>((rich(alice)|strong(alice))))&
(![X]:((funny(X)|~calm(X))<=>(creativ... | ~rich(john) | [
"p3",
"p7",
"p11",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1282598920838865968227571
% SZS output start Proof for 1282598920838865968227571
4. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> (brave(X0) | ~patient(X0))) [input p3]
8. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (brave(X0) <~> rich(X0))) [input p7]
12. ! [X0] : ((kind(X0) & old(X0)) <=> (~r... | 0 |
If someone is either not wise or funny then alice is not kind or not generous and vice versa.
Everyone who is wise or tall is not happy and vice versa.
Everyone who is not patient is not quiet.
Everyone who is not kind is both generous and wise and vice versa.
If john is both not old and curious then someone is not pat... | Susan is not calm. | neutral | ((?[X]:((~wise(X)<~>funny(X))))<=>((~kind(alice)|~generous(alice))))&
(![X]:((wise(X)|tall(X))<=>~happy(X)))&
(![X]:(~patient(X)=>~quiet(X)))&
(![X]:(~kind(X)<=>(generous(X)&wise(X))))&
(((~old(john)&curious(john)))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:((calm(X)&~calm(X))<=>(~happy(X)|funny(X))))&
((?[X]:((~rich(X)... | ~calm(susan) | [] | null | 0 |
If someone is not rich then someone is not wise or not funny and vice versa.
Everyone who is not quiet is not humble and vice versa.
If mary is both not funny and strong then someone is either calm or not strong and vice versa.
Everyone who is happy or curious is not funny or happy.
If someone is old then susan is both... | Mary is not kind. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:(~quiet(X)<=>~humble(X)))&
(((~funny(mary)&strong(mary)))<=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((happy(X)|curious(X))=>(~funny(X)|happy(X))))&
((?[X]:(old(X)))=>((generous(susan)&~generous(susan))))&
(![X]:(~quiet(X)<=>(~rich(X)&humble(X))))&
((?[X]:(old(X... | ~kind(mary) | [] | null | 0 |
If paul is not brave then someone is either rich or not calm.
Everyone who is both strong and not creative is both not quiet and not patient.
Everyone who is either humble or not quiet is not patient.
If someone is not quiet or not curious then john is both strong and not creative.
Everyone who is both curious and rich... | Paul is brave. | neutral | ((~brave(paul))=>(?[X]:((rich(X)<~>~calm(X)))))&
(![X]:((strong(X)&~creative(X))=>(~quiet(X)&~patient(X))))&
(![X]:((humble(X)<~>~quiet(X))=>~patient(X)))&
((?[X]:((~quiet(X)|~curious(X))))=>((strong(john)&~creative(john))))&
(![X]:((curious(X)&rich(X))<=>(~strong(X)|brave(X))))&
(![X]:((~brave(X)&~humble(X))=>brave(X)... | brave(paul) | [] | null | 0 |
Everyone who is not creative is tall.
If someone is either wise or not happy then paul is either tall or not funny and vice versa.
Everyone who is either not tall or creative is both funny and not rich and vice versa.
Everyone who is both creative and not old is curious or tall and vice versa.
If someone is either not ... | John is not quiet. | contradiction | (![X]:(~creative(X)=>tall(X)))&
((?[X]:((wise(X)<~>~happy(X))))<=>((tall(paul)<~>~funny(paul))))&
(![X]:((~tall(X)<~>creative(X))<=>(funny(X)&~rich(X))))&
(![X]:((creative(X)&~old(X))<=>(curious(X)|tall(X))))&
((?[X]:((~brave(X)<~>humble(X))))<=>((~quiet(lucy)|rich(lucy))))&
((?[X]:((~patient(X)|wise(X))))=>(?[X]:(~pat... | ~quiet(john) | [
"p3",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6858475844602049710832198
% SZS output start Proof for 6858475844602049710832198
4. ! [X0] : ((~old(X0) & creative(X0)) <=> (tall(X0) | curious(X0))) [input p3]
8. ! [X0] : ((~old(X0) | patient(X0)) <=> (~happy(X0) | quiet(X0))) [input p7]
9. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) ... | 0 |
Everyone who is wise is either not old or generous. If lucy is curious then someone is both not funny and not calm. If someone is rich or tall then someone is generous or not old. Everyone who is either patient or calm is either not old or not kind and vice versa. Everyone who is either wise or not happy is both not ol... | Susan is not rich. | contradiction | (![X]:(wise(X)=>(~old(X)<~>generous(X))))&
((curious(lucy))=>(?[X]:((~funny(X)&~calm(X)))))&
((?[X]:((rich(X)|tall(X))))=>(?[X]:((generous(X)|~old(X)))))&
(![X]:((patient(X)<~>calm(X))<=>(~old(X)<~>~kind(X))))&
(![X]:((wise(X)<~>~happy(X))<=>(~old(X)&~patient(X))))&
(![X]:((kind(X)|old(X))=>(funny(X)&rich(X))))&
((gene... | ~rich(susan) | [
"p0",
"p3",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4815762834057336384423564
% SZS output start Proof for 4815762834057336384423564
1. ! [X0] : (wise(X0) => (~old(X0) <~> generous(X0))) [input p0]
4. ! [X0] : ((patient(X0) <~> calm(X0)) <=> (~old(X0) <~> ~kind(X0))) [input p3]
6. ! [X0] : ((old(X0) | kind(X0)) => (rich(X0) & funny(X0))) [... | 0 |
Everyone who is either kind or patient is creative or tall and vice versa.
Everyone who is either strong or not patient is not patient.
Everyone who is rich is either rich or kind and vice versa.
If fred is either creative or not patient then someone is either not kind or rich.
Everyone who is both not strong and not h... | Paul is not kind. | entailment | (![X]:((kind(X)<~>patient(X))<=>(creative(X)|tall(X))))&
(![X]:((strong(X)<~>~patient(X))=>~patient(X)))&
(![X]:(rich(X)<=>(rich(X)<~>kind(X))))&
(((creative(fred)<~>~patient(fred)))=>(?[X]:((~kind(X)<~>rich(X)))))&
(![X]:((~strong(X)&~happy(X))=>~funny(X)))&
(((quiet(lucy)|~kind(lucy)))<=>(?[X]:(wise(X))))&
((~quiet(a... | ~kind(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6987030165689149776210989
% SZS output start Proof for 6987030165689149776210989
3. ! [X0] : (rich(X0) <=> (rich(X0) <~> kind(X0))) [input p2]
23. kind(paul) [input hypothesis]
39. ! [X0] : ((rich(X0) | ((rich(X0) | ~kind(X0)) & (kind(X0) | ~rich(X0)))) & (((~kind(X0) | ~rich(X0)) & (kind... | 0 |
Everyone who is both patient and rich is not generous or not funny and vice versa. If someone is not curious then someone is not quiet. Everyone who is not quiet is not calm and vice versa. If john is either brave or not tall then someone is either not kind or not generous and vice versa. If someone is both not brave a... | Susan is not quiet. | entailment | (![X]:((patient(X)&rich(X))<=>(~generous(X)|~funny(X))))&
((?[X]:(~curious(X)))=>(?[X]:(~quiet(X))))&
(![X]:(~quiet(X)<=>~calm(X)))&
(((brave(john)<~>~tall(john)))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
((?[X]:((~brave(X)&quiet(X))))=>(?[X]:(~funny(X))))&
(![X]:((calm(X)<~>~creative(X))<=>(~patient(X)<~>~rich(X))))&
(!... | ~quiet(susan) | [
"p0",
"p2",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8318348768985720386459635
% SZS output start Proof for 8318348768985720386459635
1. ! [X0] : ((rich(X0) & patient(X0)) <=> (~funny(X0) | ~generous(X0))) [input p0]
3. ! [X0] : (~quiet(X0) <=> ~calm(X0)) [input p2]
6. ! [X0] : ((calm(X0) <~> ~creative(X0)) <=> (~patient(X0) <~> ~rich(X0)))... | 0 |
If mary is not tall then someone is both patient and generous. Everyone who is both not old and not strong is both tall and funny and vice versa. Everyone who is either not creative or not wise is either not old or tall. If alice is either generous or wise then john is both wise and old. Everyone who is both not humble... | John is old. | contradiction | ((~tall(mary))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~old(X)&~strong(X))<=>(tall(X)&funny(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(~old(X)<~>tall(X))))&
(((generous(alice)<~>wise(alice)))=>((wise(john)&old(john))))&
(![X]:((~humble(X)&humble(X))<=>(tall(X)|~curious(X))))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~... | old(john) | [
"p5",
"p8",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5438486940280595657200429
% SZS output start Proof for 5438486940280595657200429
6. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p5]
9. ! [X0] : (humble(X0) <=> (old(X0) <~> ~brave(X0))) [input p8]
10. ? [X0] : (~humble(X0) <~> ~rich(X0)) => ? [X0] : (humble(X0) &... | 0 |
If alice is either rich or generous then paul is not old or calm.
If john is not wise then fred is both creative and calm and vice versa.
Everyone who is both not curious and not quiet is either not tall or not rich.
If mary is either generous or not creative then susan is either brave or not strong and vice versa.
Eve... | Fred is calm. | neutral | (((rich(alice)<~>generous(alice)))=>((~old(paul)|calm(paul))))&
((~wise(john))<=>((creative(fred)&calm(fred))))&
(![X]:((~curious(X)&~quiet(X))=>(~tall(X)<~>~rich(X))))&
(((generous(mary)<~>~creative(mary)))<=>((brave(susan)<~>~strong(susan))))&
(![X]:((~funny(X)&patient(X))=>(rich(X)&tall(X))))&
(![X]:(brave(X)=>(~cre... | calm(fred) | [] | null | 0 |
Everyone who is not brave is humble.
Everyone who is either not humble or old is quiet.
If someone is either old or not kind then someone is humble or old and vice versa.
Everyone who is strong or not humble is not brave or wise and vice versa.
If someone is both kind and not generous then someone is both not funny and... | John is kind. | contradiction | (![X]:(~brave(X)=>humble(X)))&
(![X]:((~humble(X)<~>old(X))=>quiet(X)))&
((?[X]:((old(X)<~>~kind(X))))<=>(?[X]:((humble(X)|old(X)))))&
(![X]:((strong(X)|~humble(X))<=>(~brave(X)|wise(X))))&
((?[X]:((kind(X)&~generous(X))))<=>(?[X]:((~funny(X)&calm(X)))))&
(![X]:((creative(X)&tall(X))<=>(~calm(X)|wise(X))))&
((?[X]:((~q... | kind(john) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8023539052688002110984824
% SZS output start Proof for 8023539052688002110984824
1. ! [X0] : (~brave(X0) => humble(X0)) [input p0]
4. ! [X0] : ((~humble(X0) | strong(X0)) <=> (wise(X0) | ~brave(X0))) [input p3]
5. ? [X0] : (~generous(X0) & kind(X0)) <=> ? [X0] : (calm(X0) & ~funny(X0)) [i... | 0 |
Everyone who is both not curious and rich is either strong or not generous and vice versa. If someone is both rich and not calm then lucy is either strong or curious. If mary is not wise then someone is not tall or kind. Everyone who is not humble is tall or not happy. If someone is both strong and quiet then susan is ... | Paul is strong. | entailment | (![X]:((~curious(X)&rich(X))<=>(strong(X)<~>~generous(X))))&
((?[X]:((rich(X)&~calm(X))))=>((strong(lucy)<~>curious(lucy))))&
((~wise(mary))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(~humble(X)=>(tall(X)|~happy(X))))&
((?[X]:((strong(X)&quiet(X))))<=>(happy(susan)))&
(![X]:(quiet(X)=>(~wise(X)|~rich(X))))&
(![X]:((~rich(X)... | strong(paul) | [
"p7",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6668168732304552793414224
% SZS output start Proof for 6668168732304552793414224
8. ! [X0] : (brave(X0) <=> patient(X0)) [input p7]
9. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p8]
10. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p9]
14. ! [X0... | 0 |
If someone is both humble and generous then mary is both brave and not quiet and vice versa. Everyone who is not strong is not wise and vice versa. Everyone who is not quiet or not happy is both creative and not funny. If someone is both quiet and not patient then fred is not humble. Everyone who is both creative and t... | Lucy is not rich. | neutral | ((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((generous(X)|~quiet(X))=>(~patient(X)&wise(X))))&
... | ~rich(lucy) | [] | null | 0 |
Everyone who is not creative or kind is not brave. Everyone who is not rich or kind is either not kind or brave. If someone is curious or not humble then lucy is not funny and vice versa. If someone is either not calm or not curious then someone is either happy or not patient and vice versa. Everyone who is either not ... | Alice is not kind. | entailment | (![X]:((~creative(X)|kind(X))=>~brave(X)))&
(![X]:((~rich(X)|kind(X))=>(~kind(X)<~>brave(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(~funny(lucy)))&
((?[X]:((~calm(X)<~>~curious(X))))<=>(?[X]:((happy(X)<~>~patient(X)))))&
(![X]:((~humble(X)<~>calm(X))=>(wise(X)&quiet(X))))&
(![X]:((~happy(X)|~curious(X))<=>(happy(X)&ki... | ~kind(alice) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9074151190458015290597623
% SZS output start Proof for 9074151190458015290597623
1. ! [X0] : ((kind(X0) | ~creative(X0)) => ~brave(X0)) [input p0]
2. ! [X0] : ((kind(X0) | ~rich(X0)) => (~kind(X0) <~> brave(X0))) [input p1]
23. kind(alice) [input hypothesis]
26. ! [X0] : (~brave(X0) | (~k... | 0 |
If someone is both tall and not rich then someone is both not creative and happy. Everyone who is either wise or humble is both not patient and calm and vice versa. Everyone who is either calm or tall is either old or quiet and vice versa. If mary is either not curious or not patient then lucy is wise or rich and vice ... | Susan is not humble. | neutral | ((?[X]:((tall(X)&~rich(X))))=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((wise(X)<~>humble(X))<=>(~patient(X)&calm(X))))&
(![X]:((calm(X)<~>tall(X))<=>(old(X)<~>quiet(X))))&
(((~curious(mary)<~>~patient(mary)))<=>((wise(lucy)|rich(lucy))))&
(![X]:((brave(X)|~happy(X))=>(~curious(X)&curious(X))))&
((strong(susan))<=>((~c... | ~humble(susan) | [] | null | 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 8996849796966390704776243
% SZS output start Proof for 8996849796966390704776243
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 |
If mary is both funny and generous then lucy is not humble or humble. Everyone who is both wise and not happy is not rich or not happy and vice versa. Everyone who is generous is both not calm and not brave and vice versa. Everyone who is either strong or not patient is either tall or wise and vice versa. Everyone who ... | Paul is not happy. | contradiction | (((funny(mary)&generous(mary)))=>((~humble(lucy)|humble(lucy))))&
(![X]:((wise(X)&~happy(X))<=>(~rich(X)|~happy(X))))&
(![X]:(generous(X)<=>(~calm(X)&~brave(X))))&
(![X]:((strong(X)<~>~patient(X))<=>(tall(X)<~>wise(X))))&
(![X]:(~brave(X)<=>(~wise(X)|funny(X))))&
(((~calm(paul)&curious(paul)))=>((quiet(fred)|~strong(fr... | ~happy(paul) | [
"p1",
"p4",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3163752539277460470696418
% SZS output start Proof for 3163752539277460470696418
2. ! [X0] : ((~happy(X0) & wise(X0)) <=> (~happy(X0) | ~rich(X0))) [input p1]
5. ! [X0] : (~brave(X0) <=> (funny(X0) | ~wise(X0))) [input p4]
8. ! [X0] : ((~humble(X0) | ~funny(X0)) => (~old(X0) | curious(X0)... | 0 |
Everyone who is either not patient or funny is either not generous or not happy and vice versa.
If someone is funny then paul is humble or not brave.
Everyone who is both not tall and happy is not humble and vice versa.
Everyone who is not patient is rich.
Everyone who is calm or not calm is both not humble and curious... | Susan is not patient. | neutral | (![X]:((~patient(X)<~>funny(X))<=>(~generous(X)<~>~happy(X))))&
((?[X]:(funny(X)))=>((humble(paul)|~brave(paul))))&
(![X]:((~tall(X)&happy(X))<=>~humble(X)))&
(![X]:(~patient(X)=>rich(X)))&
(![X]:((calm(X)|~calm(X))<=>(~humble(X)&curious(X))))&
(![X]:(generous(X)<=>~quiet(X)))&
((?[X]:((calm(X)|~rich(X))))<=>(?[X]:((wi... | ~patient(susan) | [] | null | 0 |
Everyone who is either not quiet or brave is both not rich and brave. Everyone who is either old or quiet is either not patient or not happy. Everyone who is not patient or generous is either not quiet or happy. Everyone who is wise or not calm is both not strong and strong. If paul is not funny or rich then someone is... | Alice is happy. | entailment | (![X]:((~quiet(X)<~>brave(X))=>(~rich(X)&brave(X))))&
(![X]:((old(X)<~>quiet(X))=>(~patient(X)<~>~happy(X))))&
(![X]:((~patient(X)|generous(X))=>(~quiet(X)<~>happy(X))))&
(![X]:((wise(X)|~calm(X))=>(~strong(X)&strong(X))))&
(((~funny(paul)|rich(paul)))<=>(?[X]:((~calm(X)<~>happy(X)))))&
(![X]:((~humble(X)|~quiet(X))=>(... | happy(alice) | [
"p0",
"p2",
"p6",
"p9",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 919677567382591559945239
% SZS output start Proof for 919677567382591559945239
1. ! [X0] : ((~quiet(X0) <~> brave(X0)) => (brave(X0) & ~rich(X0))) [input p0]
3. ! [X0] : ((generous(X0) | ~patient(X0)) => (~quiet(X0) <~> happy(X0))) [input p2]
7. ! [X0] : (humble(X0) <=> (patient(X0) | qui... | 0 |
Everyone who is either not wise or not funny is creative and vice versa. Everyone who is brave or not happy is not strong or not wise. If someone is curious or not funny then someone is both not patient and quiet. If susan is not humble then lucy is both rich and calm and vice versa. Everyone who is either not quiet or... | John is quiet. | entailment | (![X]:((~wise(X)<~>~funny(X))<=>creative(X)))&
(![X]:((brave(X)|~happy(X))=>(~strong(X)|~wise(X))))&
((?[X]:((curious(X)|~funny(X))))=>(?[X]:((~patient(X)&quiet(X)))))&
((~humble(susan))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~quiet(X)<~>rich(X))=>(~funny(X)<~>~wise(X))))&
(![X]:((~rich(X)&kind(X))=>~generous(X)))&
(![X... | quiet(john) | [
"p0",
"p4",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1658620022553228787424685
% SZS output start Proof for 1658620022553228787424685
1. ! [X0] : ((~wise(X0) <~> ~funny(X0)) <=> creative(X0)) [input p0]
5. ! [X0] : ((~quiet(X0) <~> rich(X0)) => (~funny(X0) <~> ~wise(X0))) [input p4]
12. ! [X0] : ((~curious(X0) <~> curious(X0)) => (wise(X0) ... | 0 |
Everyone who is either funny or not generous is strong or not calm.
Everyone who is rich or brave is humble or creative and vice versa.
If someone is not generous then someone is not funny.
If someone is either tall or funny then someone is either not strong or kind and vice versa.
If fred is both not tall and not gene... | Alice is brave. | neutral | (![X]:((funny(X)<~>~generous(X))=>(strong(X)|~calm(X))))&
(![X]:((rich(X)|brave(X))<=>(humble(X)|creative(X))))&
((?[X]:(~generous(X)))=>(?[X]:(~funny(X))))&
((?[X]:((tall(X)<~>funny(X))))<=>(?[X]:((~strong(X)<~>kind(X)))))&
(((~tall(fred)&~generous(fred)))=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:(kind(X)=>happy(X)))&
(... | brave(alice) | [] | null | 0 |
Everyone who is both strong and curious is either not humble or tall. Everyone who is either not old or not strong is either wise or tall. Everyone who is either not humble or strong is both kind and wise. Everyone who is both curious and not strong is both rich and generous. Everyone who is both not kind and not tall ... | Mary is old. | entailment | (![X]:((strong(X)&curious(X))=>(~humble(X)<~>tall(X))))&
(![X]:((~old(X)<~>~strong(X))=>(wise(X)<~>tall(X))))&
(![X]:((~humble(X)<~>strong(X))=>(kind(X)&wise(X))))&
(![X]:((curious(X)&~strong(X))=>(rich(X)&generous(X))))&
(![X]:((~kind(X)&~tall(X))=>(~kind(X)&wise(X))))&
((?[X]:((~creative(X)|~quiet(X))))=>((~generous(... | old(mary) | [
"p2",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7561319478101460696512236
% SZS output start Proof for 7561319478101460696512236
3. ! [X0] : ((~humble(X0) <~> strong(X0)) => (wise(X0) & kind(X0))) [input p2]
7. ? [X0] : (~old(X0) | ~patient(X0)) <=> ? [X0] : (~kind(X0) & ~wise(X0)) [input p6]
8. ! [X0] : (humble(X0) => (~strong(X0) & h... | 0 |
If someone is generous or humble then someone is either not happy or creative. If someone is both not brave and not happy then mary is old and vice versa. If susan is not creative or funny then susan is not kind or not old. Everyone who is both not kind and not old is not curious or not patient. Everyone who is either ... | Susan is curious. | neutral | ((?[X]:((generous(X)|humble(X))))=>(?[X]:((~happy(X)<~>creative(X)))))&
((?[X]:((~brave(X)&~happy(X))))<=>(old(mary)))&
(((~creative(susan)|funny(susan)))=>((~kind(susan)|~old(susan))))&
(![X]:((~kind(X)&~old(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>happy(X)))&
((?[X]:((~old(X)<~>patient(X))))<... | curious(susan) | [] | null | 0 |
Everyone who is both curious and not generous is curious or old and vice versa.
Everyone who is both funny and not curious is both not brave and not calm and vice versa.
Everyone who is brave or patient is both not quiet and quiet and vice versa.
If susan is not strong then someone is both not strong and not patient an... | John is generous. | neutral | (![X]:((curious(X)&~generous(X))<=>(curious(X)|old(X))))&
(![X]:((funny(X)&~curious(X))<=>(~brave(X)&~calm(X))))&
(![X]:((brave(X)|patient(X))<=>(~quiet(X)&quiet(X))))&
((~strong(susan))<=>(?[X]:((~strong(X)&~patient(X)))))&
(((patient(paul)<~>~happy(paul)))<=>((strong(john)|quiet(john))))&
((?[X]:((~creative(X)|humble... | generous(john) | [] | null | 0 |
If someone is not creative then someone is not tall.
If paul is either curious or patient then paul is both not happy and rich and vice versa.
If john is either patient or not brave then mary is either not generous or not calm and vice versa.
If lucy is both not kind and curious then someone is creative or not quiet.
E... | John is wise. | neutral | ((?[X]:(~creative(X)))=>(?[X]:(~tall(X))))&
(((curious(paul)<~>patient(paul)))<=>((~happy(paul)&rich(paul))))&
(((patient(john)<~>~brave(john)))<=>((~generous(mary)<~>~calm(mary))))&
(((~kind(lucy)&curious(lucy)))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(... | wise(john) | [] | null | 0 |
If someone is not happy then fred is not rich.
Everyone who is not quiet or not rich is not humble or not wise.
Everyone who is either calm or tall is creative and vice versa.
Everyone who is either tall or not quiet is wise or kind.
Everyone who is either creative or patient is not old and vice versa.
If someone is ei... | Mary is not happy. | contradiction | ((?[X]:(~happy(X)))=>(~rich(fred)))&
(![X]:((~quiet(X)|~rich(X))=>(~humble(X)|~wise(X))))&
(![X]:((calm(X)<~>tall(X))<=>creative(X)))&
(![X]:((tall(X)<~>~quiet(X))=>(wise(X)|kind(X))))&
(![X]:((creative(X)<~>patient(X))<=>~old(X)))&
((?[X]:((tall(X)<~>happy(X))))=>((~kind(mary)<~>happy(mary))))&
((curious(john))<=>(?[X... | ~happy(mary) | [
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8721663706863221260598961
% SZS output start Proof for 8721663706863221260598961
10. ! [X0] : ((~happy(X0) <~> ~wise(X0)) <=> ~brave(X0)) [input p9]
12. ! [X0] : (quiet(X0) <=> (~funny(X0) & funny(X0))) [input p11]
15. ! [X0] : (~quiet(X0) <=> wise(X0)) [input p14]
16. (tall(mary) & brave... | 0 |
If lucy is both calm and not kind then someone is not humble or not old and vice versa. If mary is either not brave or not tall then mary is either generous or not calm and vice versa. Everyone who is either not patient or not quiet is either not quiet or quiet and vice versa. If someone is both not brave and creative ... | Susan is not humble. | entailment | (((calm(lucy)&~kind(lucy)))<=>(?[X]:((~humble(X)|~old(X)))))&
(((~brave(mary)<~>~tall(mary)))<=>((generous(mary)<~>~calm(mary))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~quiet(X)<~>quiet(X))))&
((?[X]:((~brave(X)&creative(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~quiet(X)|humble(X))))=>(?[X]:((~rich(X)<~>~creative(X)))))&
((... | ~humble(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 441827025404637555955233
% SZS output start Proof for 441827025404637555955233
21. ~humble(susan) & ~patient(susan) [input p20]
23. humble(susan) [input hypothesis]
166. ~humble(susan) [cnf transformation 21]
169. humble(susan) [cnf transformation 23]
269. 20 <=> humble(susan) [avatar def... | 0 |
Everyone who is not tall or not kind is not old and vice versa. Everyone who is both brave and patient is wise and vice versa. Everyone who is both not creative and not brave is kind or not humble and vice versa. If susan is either not humble or not quiet then john is both brave and kind and vice versa. Everyone who is... | Alice is not patient. | neutral | (![X]:((~tall(X)|~kind(X))<=>~old(X)))&
(![X]:((brave(X)&patient(X))<=>wise(X)))&
(![X]:((~creative(X)&~brave(X))<=>(kind(X)|~humble(X))))&
(((~humble(susan)<~>~quiet(susan)))<=>((brave(john)&kind(john))))&
(![X]:((happy(X)<~>~strong(X))<=>(~happy(X)|patient(X))))&
((~funny(alice))<=>((~happy(paul)&~wise(paul))))&
(![X... | ~patient(alice) | [] | null | 0 |
Everyone who is not quiet is both not quiet and not curious and vice versa.
If alice is old then john is tall.
Everyone who is patient or not funny is not rich or funny and vice versa.
If someone is not calm or generous then someone is either not kind or not wise.
Everyone who is either not old or not brave is both not... | Paul is rich. | neutral | (![X]:(~quiet(X)<=>(~quiet(X)&~curious(X))))&
((old(alice))=>(tall(john)))&
(![X]:((patient(X)|~funny(X))<=>(~rich(X)|funny(X))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((~old(X)<~>~brave(X))<=>(~strong(X)&~rich(X))))&
(((~creative(alice)<~>~quiet(alice)))=>(?[X]:((~rich(X)&~calm(X)))... | rich(paul) | [] | null | 0 |
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