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 strong or old is calm or brave and vice versa.
Everyone who is both generous and kind is rich.
Everyone who is either not creative or not wise is brave and vice versa.
Everyone who is not generous is not old or patient and vice versa.
If mary is both old and not kind then someone is not creative or not ... | Alice is generous. | contradiction | (![X]:((strong(X)|old(X))<=>(calm(X)|brave(X))))&
(![X]:((generous(X)&kind(X))=>rich(X)))&
(![X]:((~creative(X)<~>~wise(X))<=>brave(X)))&
(![X]:(~generous(X)<=>(~old(X)|patient(X))))&
(((old(mary)&~kind(mary)))=>(?[X]:((~creative(X)|~happy(X)))))&
((?[X]:(~strong(X)))<=>(quiet(paul)))&
(![X]:((calm(X)&old(X))<=>(~calm(... | generous(alice) | [
"p2",
"p3",
"p6",
"p12",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1003682042632441410604373
% SZS output start Proof for 1003682042632441410604373
3. ! [X0] : ((~creative(X0) <~> ~wise(X0)) <=> brave(X0)) [input p2]
4. ! [X0] : (~generous(X0) <=> (patient(X0) | ~old(X0))) [input p3]
7. ! [X0] : ((old(X0) & calm(X0)) <=> (~tall(X0) & ~calm(X0))) [input p... | 0 |
Everyone who is both old and strong is not creative or creative.
If someone is both not brave and curious then someone is either not happy or creative and vice versa.
Everyone who is both funny and kind is not strong.
Everyone who is tall or calm is both not calm and creative and vice versa.
If john is not kind or not ... | Lucy is curious. | contradiction | (![X]:((old(X)&strong(X))=>(~creative(X)|creative(X))))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:((~happy(X)<~>creative(X)))))&
(![X]:((funny(X)&kind(X))=>~strong(X)))&
(![X]:((tall(X)|calm(X))<=>(~calm(X)&creative(X))))&
(((~kind(john)|~patient(john)))<=>((humble(lucy)&creative(lucy))))&
(![X]:((happy(X)|~funny(X))<=... | curious(lucy) | [
"p1",
"p2",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1612966990753846077310672
% SZS output start Proof for 1612966990753846077310672
2. ? [X0] : (curious(X0) & ~brave(X0)) <=> ? [X0] : (~happy(X0) <~> creative(X0)) [input p1]
3. ! [X0] : ((kind(X0) & funny(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((~funny(X0) | happy(X0)) <=> (~happy(X0... | 0 |
Everyone who is both funny and not kind is not tall or calm.
Everyone who is both not kind and creative is funny or quiet.
Everyone who is not funny is not happy.
Everyone who is wise is either not strong or not rich.
Everyone who is not generous is generous or not humble and vice versa.
If someone is either not calm o... | Alice is old. | entailment | (![X]:((funny(X)&~kind(X))=>(~tall(X)|calm(X))))&
(![X]:((~kind(X)&creative(X))=>(funny(X)|quiet(X))))&
(![X]:(~funny(X)=>~happy(X)))&
(![X]:(wise(X)=>(~strong(X)<~>~rich(X))))&
(![X]:(~generous(X)<=>(generous(X)|~humble(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>((~calm(lucy)&~rich(lucy))))&
(((~tall(john)<~>~brave(joh... | old(alice) | [
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 18049499412634183610109
% SZS output start Proof for 18049499412634183610109
5. ! [X0] : (~generous(X0) <=> (~humble(X0) | generous(X0))) [input p4]
10. ! [X0] : ((creative(X0) & ~quiet(X0)) <=> ~old(X0)) [input p9]
13. ! [X0] : ((humble(X0) & calm(X0)) <=> (patient(X0) | ~quiet(X0))) [in... | 0 |
If paul is both not funny and kind then susan is both curious and not generous. Everyone who is either not kind or calm is either happy or quiet and vice versa. If paul is not generous then john is not quiet or wise and vice versa. If fred is tall or happy then someone is brave and vice versa. If someone is kind then m... | Alice is not creative. | contradiction | (((~funny(paul)&kind(paul)))=>((curious(susan)&~generous(susan))))&
(![X]:((~kind(X)<~>calm(X))<=>(happy(X)<~>quiet(X))))&
((~generous(paul))<=>((~quiet(john)|wise(john))))&
(((tall(fred)|happy(fred)))<=>(?[X]:(brave(X))))&
((?[X]:(kind(X)))=>((~tall(mary)|quiet(mary))))&
(![X]:(~creative(X)=>(quiet(X)&~kind(X))))&
(![... | ~creative(alice) | [
"p1",
"p5",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4652657018155539106802575
% SZS output start Proof for 4652657018155539106802575
2. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (happy(X0) <~> quiet(X0))) [input p1]
6. ! [X0] : (~creative(X0) => (~kind(X0) & quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(... | 0 |
If someone is rich then someone is either not curious or rich and vice versa.
Everyone who is both not patient and not kind is both patient and funny and vice versa.
If lucy is not strong or kind then someone is brave and vice versa.
Everyone who is either not tall or wise is both happy and not generous and vice versa.... | John is patient. | neutral | ((?[X]:(rich(X)))<=>(?[X]:((~curious(X)<~>rich(X)))))&
(![X]:((~patient(X)&~kind(X))<=>(patient(X)&funny(X))))&
(((~strong(lucy)|kind(lucy)))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)<~>wise(X))<=>(happy(X)&~generous(X))))&
(![X]:((~curious(X)&tall(X))=>~curious(X)))&
((?[X]:((~humble(X)<~>~happy(X))))=>(?[X]:(funny(X))))... | patient(john) | [] | null | 0 |
If someone is tall or not kind then someone is both brave and patient and vice versa.
If fred is not calm or not humble then alice is both not funny and not happy and vice versa.
Everyone who is both not quiet and curious is not creative and vice versa.
Everyone who is quiet is both not funny and not brave.
If someone ... | Mary is funny. | contradiction | ((?[X]:((tall(X)|~kind(X))))<=>(?[X]:((brave(X)&patient(X)))))&
(((~calm(fred)|~humble(fred)))<=>((~funny(alice)&~happy(alice))))&
(![X]:((~quiet(X)&curious(X))<=>~creative(X)))&
(![X]:(quiet(X)=>(~funny(X)&~brave(X))))&
((?[X]:((calm(X)<~>brave(X))))<=>(~generous(susan)))&
(![X]:((~calm(X)|~funny(X))<=>(funny(X)|~kind... | funny(mary) | [
"p2",
"p3",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4752566896404731666855397
% SZS output start Proof for 4752566896404731666855397
3. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p2]
4. ! [X0] : (quiet(X0) => (~brave(X0) & ~funny(X0))) [input p3]
14. ? [X0] : creative(X0) => ~wise(mary) [input p13]
17. ? [X0] : (~patien... | 0 |
Everyone who is not kind is not humble.
Everyone who is either not strong or not curious is not patient and vice versa.
If someone is either wise or not strong then someone is calm.
Everyone who is both kind and not wise is either not kind or not calm and vice versa.
Everyone who is either old or not tall is funny or b... | Lucy is not generous. | contradiction | (![X]:(~kind(X)=>~humble(X)))&
(![X]:((~strong(X)<~>~curious(X))<=>~patient(X)))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:(calm(X))))&
(![X]:((kind(X)&~wise(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|brave(X))))&
(![X]:((~funny(X)&~curious(X))=>strong(X)))&
(![X]:((patient(X)&~curious(X))<=>(... | ~generous(lucy) | [
"p1",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 59032303484508299055107
% SZS output start Proof for 59032303484508299055107
2. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> ~patient(X0)) [input p1]
7. ! [X0] : ((~curious(X0) & patient(X0)) <=> (~strong(X0) | ~curious(X0))) [input p6]
8. ! [X0] : ((brave(X0) | ~strong(X0)) <=> strong(X0... | 0 |
Everyone who is creative or not humble is not patient or happy and vice versa.
Everyone who is both generous and happy is not creative or creative and vice versa.
If susan is kind or wise then susan is either funny or not tall.
Everyone who is not brave or not generous is not creative.
Everyone who is both not patient ... | Fred is not patient. | entailment | (![X]:((creative(X)|~humble(X))<=>(~patient(X)|happy(X))))&
(![X]:((generous(X)&happy(X))<=>(~creative(X)|creative(X))))&
(((kind(susan)|wise(susan)))=>((funny(susan)<~>~tall(susan))))&
(![X]:((~brave(X)|~generous(X))=>~creative(X)))&
(![X]:((~patient(X)&~generous(X))<=>wise(X)))&
((?[X]:((~calm(X)<~>curious(X))))=>((~... | ~patient(fred) | [
"p1",
"p4",
"p11",
"p12",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4442760955324220850738864
% SZS output start Proof for 4442760955324220850738864
2. ! [X0] : ((happy(X0) & generous(X0)) <=> (creative(X0) | ~creative(X0))) [input p1]
5. ! [X0] : ((~generous(X0) & ~patient(X0)) <=> wise(X0)) [input p4]
12. ? [X0] : (humble(X0) | ~tall(X0)) => (~generous(... | 0 |
Everyone who is both not brave and not calm is not strong. If lucy is both funny and not generous then someone is not quiet or calm and vice versa. Everyone who is happy is both not humble and not patient and vice versa. Everyone who is not rich or strong is either tall or not tall and vice versa. If fred is calm or ri... | Paul is not funny. | neutral | (![X]:((~brave(X)&~calm(X))=>~strong(X)))&
(((funny(lucy)&~generous(lucy)))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:(happy(X)<=>(~humble(X)&~patient(X))))&
(![X]:((~rich(X)|strong(X))<=>(tall(X)<~>~tall(X))))&
(((calm(fred)|rich(fred)))=>(~kind(alice)))&
(![X]:(~humble(X)<=>(quiet(X)|~kind(X))))&
(![X]:(patient(X)=>(~pa... | ~funny(paul) | [] | null | 0 |
If fred is either kind or old then susan is not rich or not tall.
Everyone who is generous or funny is old or happy.
Everyone who is either not quiet or creative is either wise or not calm.
Everyone who is creative or not wise is either not tall or humble and vice versa.
Everyone who is both not tall and old is either ... | Alice is calm. | neutral | (((kind(fred)<~>old(fred)))=>((~rich(susan)|~tall(susan))))&
(![X]:((generous(X)|funny(X))=>(old(X)|happy(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(wise(X)<~>~calm(X))))&
(![X]:((creative(X)|~wise(X))<=>(~tall(X)<~>humble(X))))&
(![X]:((~tall(X)&old(X))<=>(creative(X)<~>brave(X))))&
(![X]:((~wise(X)|generous(X))=>~gene... | calm(alice) | [] | null | 0 |
Everyone who is either rich or brave is either not creative or old and vice versa. Everyone who is either not kind or curious is not rich or not old. Everyone who is either humble or not curious is either not quiet or not humble and vice versa. Everyone who is tall is either quiet or not strong and vice versa. If someo... | Mary is happy. | contradiction | (![X]:((rich(X)<~>brave(X))<=>(~creative(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~rich(X)|~old(X))))&
(![X]:((humble(X)<~>~curious(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(quiet(X)<~>~strong(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:(funny(X))))&
(![X]:(~creative(X)=>(~kind(X)|tall(X))))&
((?[... | happy(mary) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6166546720080456448969890
% SZS output start Proof for 6166546720080456448969890
7. ? [X0] : happy(X0) => ? [X0] : (~curious(X0) & rich(X0)) [input p6]
8. ! [X0] : (funny(X0) <=> ~rich(X0)) [input p7]
10. ! [X0] : ((~funny(X0) | ~quiet(X0)) => (~generous(X0) & ~rich(X0))) [input p9]
21. h... | 0 |
Everyone who is either not brave or not wise is not wise or not brave and vice versa.
Everyone who is funny or not quiet is both not wise and not calm.
Everyone who is quiet or rich is both rich and funny and vice versa.
Everyone who is either humble or not old is either generous or patient and vice versa.
Everyone who... | Mary is wise. | contradiction | (![X]:((~brave(X)<~>~wise(X))<=>(~wise(X)|~brave(X))))&
(![X]:((funny(X)|~quiet(X))=>(~wise(X)&~calm(X))))&
(![X]:((quiet(X)|rich(X))<=>(rich(X)&funny(X))))&
(![X]:((humble(X)<~>~old(X))<=>(generous(X)<~>patient(X))))&
(![X]:((patient(X)|happy(X))=>generous(X)))&
(((rich(lucy)|~funny(lucy)))=>(?[X]:((funny(X)|generous(... | wise(mary) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 386408795254940314869158
% SZS output start Proof for 386408795254940314869158
2. ! [X0] : ((~quiet(X0) | funny(X0)) => (~calm(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((rich(X0) | quiet(X0)) <=> (funny(X0) & rich(X0))) [input p2]
24. wise(mary) [input hypothesis]
26. ! [X0] : ((~calm(X0)... | 0 |
Everyone who is not generous or not creative is both funny and not strong.
Everyone who is both not brave and funny is both strong and not kind.
Everyone who is not strong or not patient is both not creative and kind and vice versa.
If someone is not curious then someone is humble and vice versa.
If paul is either kind... | Lucy is patient. | entailment | (![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X)&funny(X))=>(strong(X)&~kind(X))))&
(![X]:((~strong(X)|~patient(X))<=>(~creative(X)&kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(humble(X))))&
(((kind(paul)<~>rich(paul)))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>~creative(X))<=>(funny(X)|ca... | patient(lucy) | [
"p0",
"p2",
"p5",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9190276205750457620511950
% SZS output start Proof for 9190276205750457620511950
1. ! [X0] : ((~creative(X0) | ~generous(X0)) => (~strong(X0) & funny(X0))) [input p0]
3. ! [X0] : ((~patient(X0) | ~strong(X0)) <=> (kind(X0) & ~creative(X0))) [input p2]
6. ! [X0] : ((generous(X0) <~> ~creat... | 0 |
If fred is both kind and quiet then someone is either not brave or wise.
If alice is not funny or tall then paul is not patient or kind.
Everyone who is either not rich or rich is both rich and funny and vice versa.
Everyone who is not tall or not patient is either old or not brave and vice versa.
If john is wise or qu... | Susan is old. | neutral | (((kind(fred)&quiet(fred)))=>(?[X]:((~brave(X)<~>wise(X)))))&
(((~funny(alice)|tall(alice)))=>((~patient(paul)|kind(paul))))&
(![X]:((~rich(X)<~>rich(X))<=>(rich(X)&funny(X))))&
(![X]:((~tall(X)|~patient(X))<=>(old(X)<~>~brave(X))))&
(((wise(john)|quiet(john)))<=>(?[X]:(tall(X))))&
((funny(mary))<=>(?[X]:((~brave(X)|~k... | old(susan) | [] | null | 0 |
Everyone who is strong is both kind and creative. If someone is not kind or not patient then lucy is both funny and not creative. Everyone who is either not happy or old is calm or humble and vice versa. Everyone who is not humble is not strong or not brave. Everyone who is either not kind or not quiet is either not ri... | Lucy is not strong. | entailment | (![X]:(strong(X)=>(kind(X)&creative(X))))&
((?[X]:((~kind(X)|~patient(X))))=>((funny(lucy)&~creative(lucy))))&
(![X]:((~happy(X)<~>old(X))<=>(calm(X)|humble(X))))&
(![X]:(~humble(X)=>(~strong(X)|~brave(X))))&
(![X]:((~kind(X)<~>~quiet(X))=>(~rich(X)<~>humble(X))))&
(![X]:((~humble(X)<~>curious(X))=>(~rich(X)&patient(X)... | ~strong(lucy) | [
"p0",
"p1",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1877305180699006753673533
% SZS output start Proof for 1877305180699006753673533
1. ! [X0] : (strong(X0) => (creative(X0) & kind(X0))) [input p0]
2. ? [X0] : (~patient(X0) | ~kind(X0)) => (~creative(lucy) & funny(lucy)) [input p1]
9. ? [X0] : (calm(X0) | creative(X0)) => (~humble(alice) &... | 0 |
If someone is both humble and old then susan is either patient or brave and vice versa. Everyone who is both not tall and wise is quiet or not kind and vice versa. Everyone who is calm or not rich is patient or not rich and vice versa. If someone is either not creative or brave then alice is either not quiet or calm an... | Lucy is not creative. | neutral | ((?[X]:((humble(X)&old(X))))<=>((patient(susan)<~>brave(susan))))&
(![X]:((~tall(X)&wise(X))<=>(quiet(X)|~kind(X))))&
(![X]:((calm(X)|~rich(X))<=>(patient(X)|~rich(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((~quiet(alice)<~>calm(alice))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:(... | ~creative(lucy) | [] | null | 0 |
Everyone who is both not brave and not happy is both wise and not old.
If someone is either brave or not funny then someone is either not kind or happy.
If fred is generous or not calm then someone is not old.
Everyone who is both not quiet and not curious is either not wise or quiet and vice versa.
If paul is not pati... | Fred is calm. | neutral | (![X]:((~brave(X)&~happy(X))=>(wise(X)&~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(?[X]:((~kind(X)<~>happy(X)))))&
(((generous(fred)|~calm(fred)))=>(?[X]:(~old(X))))&
(![X]:((~quiet(X)&~curious(X))<=>(~wise(X)<~>quiet(X))))&
((~patient(paul))=>((~funny(fred)&~rich(fred))))&
(((calm(paul)<~>~strong(paul)))=>(?[X]:((f... | calm(fred) | [] | null | 0 |
Everyone who is both quiet and not rich is both not generous and not quiet.
Everyone who is both not rich and not quiet is not rich and vice versa.
If someone is not humble or not rich then someone is not calm or strong.
Everyone who is funny is both not tall and not kind.
Everyone who is funny is either humble or not ... | John is not funny. | entailment | (![X]:((quiet(X)&~rich(X))=>(~generous(X)&~quiet(X))))&
(![X]:((~rich(X)&~quiet(X))<=>~rich(X)))&
((?[X]:((~humble(X)|~rich(X))))=>(?[X]:((~calm(X)|strong(X)))))&
(![X]:(funny(X)=>(~tall(X)&~kind(X))))&
(![X]:(funny(X)=>(humble(X)<~>~tall(X))))&
(![X]:((~brave(X)&~quiet(X))=>(~brave(X)<~>brave(X))))&
(![X]:((~strong(X)... | ~funny(john) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6037295309477329141263277
% SZS output start Proof for 6037295309477329141263277
4. ! [X0] : (funny(X0) => (~kind(X0) & ~tall(X0))) [input p3]
11. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> (~kind(X0) | ~happy(X0))) [input p10]
23. funny(john) [input hypothesis]
30. ! [X0] : ((~kind(X0) & ~t... | 0 |
Everyone who is generous is curious or not brave and vice versa.
Everyone who is both calm and not creative is both rich and happy.
If paul is not old then mary is quiet and vice versa.
If someone is not patient then someone is either not funny or calm.
Everyone who is either not kind or calm is generous.
Everyone who ... | Alice is rich. | neutral | (![X]:(generous(X)<=>(curious(X)|~brave(X))))&
(![X]:((calm(X)&~creative(X))=>(rich(X)&happy(X))))&
((~old(paul))<=>(quiet(mary)))&
((?[X]:(~patient(X)))=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((~kind(X)<~>calm(X))=>generous(X)))&
(![X]:(~happy(X)<=>(old(X)&kind(X))))&
((?[X]:((~calm(X)|wise(X))))=>(?[X]:((~tall(X)|~p... | rich(alice) | [] | null | 0 |
Everyone who is both kind and not tall is either not funny or not creative. Everyone who is not strong is kind or not tall and vice versa. If someone is creative or not curious then lucy is either not old or brave and vice versa. Everyone who is both calm and not happy is not generous and vice versa. If someone is not ... | Paul is generous. | neutral | (![X]:((kind(X)&~tall(X))=>(~funny(X)<~>~creative(X))))&
(![X]:(~strong(X)<=>(kind(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>((~old(lucy)<~>brave(lucy))))&
(![X]:((calm(X)&~happy(X))<=>~generous(X)))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:(~curious(X)=>(brave(X)<~>cre... | generous(paul) | [] | null | 0 |
Everyone who is kind is either not calm or creative. If mary is either not brave or not quiet then susan is funny. If someone is funny or not kind then someone is both wise and not kind. Everyone who is either creative or tall is brave and vice versa. Everyone who is strong is not humble or old. Everyone who is either ... | Mary is brave. | neutral | (![X]:(kind(X)=>(~calm(X)<~>creative(X))))&
(((~brave(mary)<~>~quiet(mary)))=>(funny(susan)))&
((?[X]:((funny(X)|~kind(X))))=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((creative(X)<~>tall(X))<=>brave(X)))&
(![X]:(strong(X)=>(~humble(X)|old(X))))&
(![X]:((~humble(X)<~>kind(X))<=>curious(X)))&
(![X]:((~happy(X)&funny(X))<=>(~... | brave(mary) | [] | null | 0 |
Everyone who is both not curious and not strong is either not strong or rich and vice versa.
Everyone who is curious or strong is not quiet and vice versa.
Everyone who is calm is both kind and strong and vice versa.
If paul is humble or creative then someone is not rich or patient.
If someone is both not wise and not ... | Paul is rich. | neutral | (![X]:((~curious(X)&~strong(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((curious(X)|strong(X))<=>~quiet(X)))&
(![X]:(calm(X)<=>(kind(X)&strong(X))))&
(((humble(paul)|creative(paul)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((~wise(X)&~creative(X))))<=>((~humble(susan)&~rich(susan))))&
((?[X]:((~wise(X)|strong(X))))=>(?[X]:... | rich(paul) | [] | null | 0 |
If john is both calm and not curious then someone is not calm or not creative and vice versa.
Everyone who is both wise and patient is either not wise or not tall and vice versa.
Everyone who is not humble or generous is both not funny and funny.
Everyone who is not humble is both kind and not old.
If lucy is not stron... | Alice is tall. | contradiction | (((calm(john)&~curious(john)))<=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((wise(X)&patient(X))<=>(~wise(X)<~>~tall(X))))&
(![X]:((~humble(X)|generous(X))=>(~funny(X)&funny(X))))&
(![X]:(~humble(X)=>(kind(X)&~old(X))))&
(((~strong(lucy)|brave(lucy)))<=>((quiet(mary)|~kind(mary))))&
(![X]:(generous(X)<=>(patient(X)|wise... | tall(alice) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 17892771104232764966269
% SZS output start Proof for 17892771104232764966269
2. ! [X0] : ((patient(X0) & wise(X0)) <=> (~wise(X0) <~> ~tall(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~humble(X0)) => (funny(X0) & ~funny(X0))) [input p2]
6. ! [X0] : (generous(X0) <=> (wise(X0) | patient(... | 0 |
Everyone who is both not generous and old is either not curious or creative.
Everyone who is both generous and not rich is not generous or humble and vice versa.
Everyone who is both quiet and tall is not patient or funny and vice versa.
Everyone who is not kind is both not generous and not kind.
Everyone who is both s... | Mary is funny. | contradiction | (![X]:((~generous(X)&old(X))=>(~curious(X)<~>creative(X))))&
(![X]:((generous(X)&~rich(X))<=>(~generous(X)|humble(X))))&
(![X]:((quiet(X)&tall(X))<=>(~patient(X)|funny(X))))&
(![X]:(~kind(X)=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)&brave(X))<=>(~old(X)|~wise(X))))&
((?[X]:((~funny(X)&generous(X))))=>(brave(john)))... | funny(mary) | [
"p2",
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5031873838379843745631334
% SZS output start Proof for 5031873838379843745631334
3. ! [X0] : ((tall(X0) & quiet(X0)) <=> (funny(X0) | ~patient(X0))) [input p2]
5. ! [X0] : ((brave(X0) & strong(X0)) <=> (~wise(X0) | ~old(X0))) [input p4]
8. ! [X0] : (curious(X0) => (quiet(X0) <~> brave(X0)... | 0 |
If alice is either not funny or not rich then lucy is quiet and vice versa.
Everyone who is not funny or patient is either wise or not quiet.
Everyone who is not creative is either wise or tall.
If alice is both not rich and not humble then someone is not creative or not tall.
If someone is both calm and patient then f... | John is quiet. | contradiction | (((~funny(alice)<~>~rich(alice)))<=>(quiet(lucy)))&
(![X]:((~funny(X)|patient(X))=>(wise(X)<~>~quiet(X))))&
(![X]:(~creative(X)=>(wise(X)<~>tall(X))))&
(((~rich(alice)&~humble(alice)))=>(?[X]:((~creative(X)|~tall(X)))))&
((?[X]:((calm(X)&patient(X))))=>((~tall(fred)|wise(fred))))&
(((old(mary)<~>wise(mary)))<=>(?[X]:((... | quiet(john) | [
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2160705692411637931641039
% SZS output start Proof for 2160705692411637931641039
19. ~patient(john) [input p18]
20. patient(john) <~> ~quiet(john) [input p19]
23. quiet(john) [input hypothesis]
66. (quiet(john) | ~patient(john)) & (~quiet(john) | patient(john)) [nnf transformation 20]
118... | 0 |
If mary is both not wise and rich then susan is not tall or kind and vice versa.
Everyone who is creative or not happy is both not rich and not old.
Everyone who is either creative or not tall is both strong and not old.
If susan is both not funny and wise then john is either not happy or brave.
Everyone who is both hu... | Fred is not creative. | entailment | (((~wise(mary)&rich(mary)))<=>((~tall(susan)|kind(susan))))&
(![X]:((creative(X)|~happy(X))=>(~rich(X)&~old(X))))&
(![X]:((creative(X)<~>~tall(X))=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X))<=>(~old(X)<~>~creative(X))))&
(![X]:((brave(X)<~>~tall... | ~creative(fred) | [
"p1",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7413193232769500944340619
% SZS output start Proof for 7413193232769500944340619
2. ! [X0] : ((~happy(X0) | creative(X0)) => (~old(X0) & ~rich(X0))) [input p1]
5. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~old(X0) <~> ~creative(X0))) [input p4]
15. ! [X0] : (~humble(X0) <=> ~old(X0)) [inp... | 0 |
If someone is either not kind or not humble then someone is calm or not rich and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative.
Eve... | John is not humble. | neutral | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creat... | ~humble(john) | [] | null | 0 |
If someone is both tall and kind then someone is both generous and funny. Everyone who is creative or not calm is not kind or not curious and vice versa. Everyone who is rich or not strong is not brave or not kind and vice versa. Everyone who is not kind or patient is both not brave and not tall. Everyone who is creati... | Mary is not wise. | entailment | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((generous(X)&funny(X)))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~k... | ~wise(mary) | [
"p3",
"p9",
"p10",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1991396571306672396718068
% SZS output start Proof for 1991396571306672396718068
4. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) [input p3]
10. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~wise(X0) & generous(X0))) [input p9]
11. ! [X0] : ((~generous(X0) | ~curious(X0)) => ... | 0 |
If someone is either not kind or not humble then paul is not generous or not rich and vice versa. Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. If fred is both funny and humble then fred is creative... | Paul is not rich. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((~generous(paul)|~rich(paul))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~c... | ~rich(paul) | [
"p1",
"p2",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6281855381516914077746721
% SZS output start Proof for 6281855381516914077746721
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
6. ? [X0] : (generous(X0) <~> ~rich(X0)) =... | 0 |
If john is not old then someone is both brave and curious and vice versa.
If john is either curious or not humble then susan is both wise and not generous.
Everyone who is rich or not patient is not kind.
Everyone who is not creative or not happy is both not kind and quiet and vice versa.
Everyone who is funny or not o... | Susan is not patient. | neutral | ((~old(john))<=>(?[X]:((brave(X)&curious(X)))))&
(((curious(john)<~>~humble(john)))=>((wise(susan)&~generous(susan))))&
(![X]:((rich(X)|~patient(X))=>~kind(X)))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)&quiet(X))))&
(![X]:((funny(X)|~old(X))<=>quiet(X)))&
(![X]:(patient(X)=>(patient(X)&~funny(X))))&
(![X]:((humble(X... | ~patient(susan) | [] | null | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or generous is either creative or not calm.
If someone is either creative or strong then mary is not brave.
Everyone who is both humble and happy is either not kind or funny and vice versa.
Everyone who is not quiet is no... | Fred is patient. | entailment | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>generous(X))=>(creative(X)<~>~calm(X))))&
((?[X]:((creative(X)<~>strong(X))))=>(~brave(mary)))&
(![X]:((humble(X)&happy(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
(![X]:(old(X)<=>(generous(X)|~old(X))))&
(![X]:(~rich(X)=>(st... | patient(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3044095631911961732591158
% SZS output start Proof for 3044095631911961732591158
18. ~tall(fred) & patient(fred) [input p17]
25. ~patient(fred) [input hypothesis]
139. patient(fred) [cnf transformation 18]
148. ~patient(fred) [cnf transformation 25]
283. $false [subsumption resolution 148... | 0 |
Everyone who is strong is either happy or not old.
Everyone who is not patient is both rich and curious.
Everyone who is either happy or tall is not creative or creative and vice versa.
Everyone who is both not humble and tall is either patient or old and vice versa.
If someone is wise then susan is both old and tall.
... | Susan is not calm. | contradiction | (![X]:(strong(X)=>(happy(X)<~>~old(X))))&
(![X]:(~patient(X)=>(rich(X)&curious(X))))&
(![X]:((happy(X)<~>tall(X))<=>(~creative(X)|creative(X))))&
(![X]:((~humble(X)&tall(X))<=>(patient(X)<~>old(X))))&
((?[X]:(wise(X)))=>((old(susan)&tall(susan))))&
(![X]:(~quiet(X)<=>(~tall(X)|~generous(X))))&
(![X]:((~brave(X)<~>curio... | ~calm(susan) | [
"p1",
"p2",
"p3",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9056765647875139964260487
% SZS output start Proof for 9056765647875139964260487
2. ! [X0] : (~patient(X0) => (curious(X0) & rich(X0))) [input p1]
3. ! [X0] : ((happy(X0) <~> tall(X0)) <=> (creative(X0) | ~creative(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (patient(X0) <~... | 0 |
Everyone who is both not creative and not humble is both brave and happy.
If alice is brave or happy then john is humble and vice versa.
Everyone who is either not tall or funny is not patient or generous.
If someone is happy then susan is patient and vice versa.
Everyone who is either not wise or not brave is both cal... | Alice is not happy. | entailment | (![X]:((~creative(X)&~humble(X))=>(brave(X)&happy(X))))&
(((brave(alice)|happy(alice)))<=>(humble(john)))&
(![X]:((~tall(X)<~>funny(X))=>(~patient(X)|generous(X))))&
((?[X]:(happy(X)))<=>(patient(susan)))&
(![X]:((~wise(X)<~>~brave(X))<=>(calm(X)&happy(X))))&
(![X]:((~rich(X)|patient(X))<=>(~generous(X)<~>~kind(X))))&
... | ~happy(alice) | [
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1379996125666746213233726
% SZS output start Proof for 1379996125666746213233726
2. (happy(alice) | brave(alice)) <=> humble(john) [input p1]
17. ~humble(john) & quiet(john) [input p16]
25. happy(alice) [input hypothesis]
35. ((happy(alice) | brave(alice)) | ~humble(john)) & (humble(john)... | 0 |
If someone is creative or not old then lucy is both humble and not rich. Everyone who is not quiet is funny or happy and vice versa. If someone is both not patient and not funny then susan is both wise and curious. If someone is both kind and not happy then someone is tall or not humble and vice versa. If alice is both... | Paul is kind. | entailment | ((?[X]:((creative(X)|~old(X))))=>((humble(lucy)&~rich(lucy))))&
(![X]:(~quiet(X)<=>(funny(X)|happy(X))))&
((?[X]:((~patient(X)&~funny(X))))=>((wise(susan)&curious(susan))))&
((?[X]:((kind(X)&~happy(X))))<=>(?[X]:((tall(X)|~humble(X)))))&
(((~tall(alice)&wise(alice)))=>(strong(lucy)))&
((creative(susan))<=>(?[X]:((stron... | kind(paul) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3012997787423066100458059
% SZS output start Proof for 3012997787423066100458059
13. ! [X0] : ((~quiet(X0) & humble(X0)) <=> ~kind(X0)) [input p12]
14. ! [X0] : ((generous(X0) | ~quiet(X0)) => kind(X0)) [input p13]
21. ~kind(paul) [input hypothesis]
37. ! [X0] : (kind(X0) | (~generous(X0)... | 0 |
If john is happy then fred is both calm and not wise and vice versa. Everyone who is either brave or not old is wise or not tall. Everyone who is happy is either rich or not funny and vice versa. If alice is both old and kind then someone is either calm or not brave. Everyone who is not happy is either humble or not hu... | Lucy is old. | contradiction | ((happy(john))<=>((calm(fred)&~wise(fred))))&
(![X]:((brave(X)<~>~old(X))=>(wise(X)|~tall(X))))&
(![X]:(happy(X)<=>(rich(X)<~>~funny(X))))&
(((old(alice)&kind(alice)))=>(?[X]:((calm(X)<~>~brave(X)))))&
(![X]:(~happy(X)=>(humble(X)<~>~humble(X))))&
(![X]:((~strong(X)|humble(X))<=>(patient(X)&happy(X))))&
(((funny(lucy)<... | old(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8182894406492663765767517
% SZS output start Proof for 8182894406492663765767517
22. ~old(lucy) & ~strong(lucy) [input p21]
24. old(lucy) [input hypothesis]
120. ~old(lucy) [cnf transformation 22]
123. old(lucy) [cnf transformation 24]
140. 4 <=> old(lucy) [avatar definition]
242. ~4 [ava... | 0 |
Everyone who is not strong or not humble is both not generous and patient.
Everyone who is not happy is not old and vice versa.
If alice is wise then fred is not curious or not funny and vice versa.
If someone is creative then someone is both quiet and not wise.
If lucy is strong then fred is funny.
If mary is both cur... | Fred is not strong. | contradiction | (![X]:((~strong(X)|~humble(X))=>(~generous(X)&patient(X))))&
(![X]:(~happy(X)<=>~old(X)))&
((wise(alice))<=>((~curious(fred)|~funny(fred))))&
((?[X]:(creative(X)))=>(?[X]:((quiet(X)&~wise(X)))))&
((strong(lucy))=>(funny(fred)))&
(((curious(mary)&calm(mary)))=>((patient(lucy)&~patient(lucy))))&
(![X]:((~wise(X)|~humble(... | ~strong(fred) | [
"p0",
"p7",
"p8",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 836853750606701714567115
% SZS output start Proof for 836853750606701714567115
1. ! [X0] : ((~humble(X0) | ~strong(X0)) => (patient(X0) & ~generous(X0))) [input p0]
8. ? [X0] : ~funny(X0) => (~creative(fred) & humble(fred)) [input p7]
9. ! [X0] : ((generous(X0) | old(X0)) => (~patient(X0)... | 0 |
Everyone who is both patient and kind is either happy or not kind. If someone is patient then someone is curious or creative and vice versa. Everyone who is brave is both rich and not creative. Everyone who is both rich and not generous is both not old and not generous. Everyone who is both humble and curious is not ha... | John is brave. | neutral | (![X]:((patient(X)&kind(X))=>(happy(X)<~>~kind(X))))&
((?[X]:(patient(X)))<=>(?[X]:((curious(X)|creative(X)))))&
(![X]:(brave(X)=>(rich(X)&~creative(X))))&
(![X]:((rich(X)&~generous(X))=>(~old(X)&~generous(X))))&
(![X]:((humble(X)&curious(X))=>(~happy(X)|funny(X))))&
(![X]:(~curious(X)<=>humble(X)))&
(((brave(john)|cur... | brave(john) | [] | null | 0 |
If someone is either kind or not strong then someone is not funny or not kind. If susan is either kind or creative then fred is either not happy or not curious. Everyone who is both not creative and old is both not tall and tall. If someone is either brave or not creative then alice is not tall or strong and vice versa... | Susan is not brave. | neutral | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((~funny(X)|~kind(X)))))&
(((kind(susan)<~>creative(susan)))=>((~happy(fred)<~>~curious(fred))))&
(![X]:((~creative(X)&old(X))=>(~tall(X)&tall(X))))&
((?[X]:((brave(X)<~>~creative(X))))<=>((~tall(alice)|strong(alice))))&
(![X]:(~tall(X)<=>(~generous(X)&patient(X))))&
(![X]:((~pat... | ~brave(susan) | [] | null | 0 |
Everyone who is curious is strong. Everyone who is not old is either not funny or not tall and vice versa. Everyone who is not generous is not strong and vice versa. Everyone who is not funny is both not wise and not happy. If alice is either not creative or not strong then mary is strong or tall. If someone is either ... | Alice is not patient. | neutral | (![X]:(curious(X)=>strong(X)))&
(![X]:(~old(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:(~funny(X)=>(~wise(X)&~happy(X))))&
(((~creative(alice)<~>~strong(alice)))=>((strong(mary)|tall(mary))))&
((?[X]:((calm(X)<~>~old(X))))=>(~generous(john)))&
(![X]:((kind(X)|~old(X))=>(tall(X)<~>calm(X)))... | ~patient(alice) | [] | null | 0 |
If susan is not rich or not quiet then someone is either tall or quiet and vice versa.
Everyone who is not rich or funny is rich.
If lucy is not calm then mary is quiet.
Everyone who is not happy or not tall is either curious or not curious and vice versa.
Everyone who is either not kind or not quiet is both not calm a... | Susan is not brave. | contradiction | (((~rich(susan)|~quiet(susan)))<=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:((~rich(X)|funny(X))=>rich(X)))&
((~calm(lucy))=>(quiet(mary)))&
(![X]:((~happy(X)|~tall(X))<=>(curious(X)<~>~curious(X))))&
(![X]:((~kind(X)<~>~quiet(X))<=>(~calm(X)&~tall(X))))&
((?[X]:((funny(X)|~brave(X))))=>(?[X]:((~quiet(X)&~happy(X)))))&
(![... | ~brave(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 577159263019717915060349
% SZS output start Proof for 577159263019717915060349
8. ! [X0] : ((~funny(X0) | funny(X0)) => (brave(X0) & patient(X0))) [input p7]
22. ~brave(susan) [input hypothesis]
29. ! [X0] : ((brave(X0) & patient(X0)) | (funny(X0) & ~funny(X0))) [ennf transformation 8]
94... | 0 |
Everyone who is either calm or not funny is either old or not tall.
Everyone who is both not patient and not kind is humble or patient.
If paul is both humble and curious then alice is either not calm or not happy.
Everyone who is not creative or happy is not tall or not patient and vice versa.
Everyone who is strong i... | Mary is strong. | neutral | (![X]:((calm(X)<~>~funny(X))=>(old(X)<~>~tall(X))))&
(![X]:((~patient(X)&~kind(X))=>(humble(X)|patient(X))))&
(((humble(paul)&curious(paul)))=>((~calm(alice)<~>~happy(alice))))&
(![X]:((~creative(X)|happy(X))<=>(~tall(X)|~patient(X))))&
(![X]:(strong(X)=>~patient(X)))&
(![X]:(generous(X)=>tall(X)))&
(![X]:((~rich(X)<~>... | strong(mary) | [] | null | 0 |
Everyone who is either not funny or not old is not wise and vice versa.
Everyone who is either not strong or not kind is wise and vice versa.
Everyone who is not curious is either not curious or wise and vice versa.
If john is brave or not happy then someone is not rich and vice versa.
Everyone who is either happy or w... | Paul is not happy. | neutral | (![X]:((~funny(X)<~>~old(X))<=>~wise(X)))&
(![X]:((~strong(X)<~>~kind(X))<=>wise(X)))&
(![X]:(~curious(X)<=>(~curious(X)<~>wise(X))))&
(((brave(john)|~happy(john)))<=>(?[X]:(~rich(X))))&
(![X]:((happy(X)<~>wise(X))<=>(creative(X)&quiet(X))))&
((?[X]:((happy(X)&~happy(X))))=>((curious(john)|~wise(john))))&
(![X]:((~calm... | ~happy(paul) | [] | null | 0 |
If alice is wise or quiet then mary is rich and vice versa.
Everyone who is either curious or funny is both not happy and not humble and vice versa.
If lucy is rich then someone is either patient or old and vice versa.
If susan is both not funny and not humble then john is both happy and not kind and vice versa.
Everyo... | Lucy is not creative. | entailment | (((wise(alice)|quiet(alice)))<=>(rich(mary)))&
(![X]:((curious(X)<~>funny(X))<=>(~happy(X)&~humble(X))))&
((rich(lucy))<=>(?[X]:((patient(X)<~>old(X)))))&
(((~funny(susan)&~humble(susan)))<=>((happy(john)&~kind(john))))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)<~>q... | ~creative(lucy) | [
"p4",
"p7",
"p8",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4047343916771027971981721
% SZS output start Proof for 4047343916771027971981721
5. ! [X0] : ((creative(X0) | wise(X0)) <=> (brave(X0) & ~quiet(X0))) [input p4]
8. ? [X0] : (generous(X0) | ~old(X0)) <=> (kind(paul) & brave(paul)) [input p7]
9. (~brave(lucy) & happy(lucy)) <=> ? [X0] : (~c... | 0 |
Everyone who is either not curious or not tall is either not curious or not patient and vice versa.
If someone is not curious then mary is either strong or generous.
If lucy is both not rich and quiet then susan is either creative or rich and vice versa.
If paul is not rich then someone is both not happy and happy.
If ... | Lucy is patient. | entailment | (![X]:((~curious(X)<~>~tall(X))<=>(~curious(X)<~>~patient(X))))&
((?[X]:(~curious(X)))=>((strong(mary)<~>generous(mary))))&
(((~rich(lucy)&quiet(lucy)))<=>((creative(susan)<~>rich(susan))))&
((~rich(paul))=>(?[X]:((~happy(X)&happy(X)))))&
((?[X]:((~wise(X)<~>tall(X))))=>((~calm(lucy)&~happy(lucy))))&
(![X]:((~kind(X)&b... | patient(lucy) | [
"p6",
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6713691661763731150852326
% SZS output start Proof for 6713691661763731150852326
7. ! [X0] : ((~rich(X0) <~> strong(X0)) <=> ~patient(X0)) [input p6]
14. ! [X0] : ((~happy(X0) & old(X0)) <=> (~patient(X0) | ~wise(X0))) [input p13]
20. rich(lucy) [input p19]
23. happy(lucy) <~> ~strong(luc... | 0 |
Everyone who is both wise and not old is not generous.
Everyone who is not patient is happy.
If paul is not humble or not rich then mary is funny and vice versa.
Everyone who is either humble or not tall is not happy or happy and vice versa.
Everyone who is funny or strong is either generous or not happy and vice versa... | Susan is not curious. | neutral | (![X]:((wise(X)&~old(X))=>~generous(X)))&
(![X]:(~patient(X)=>happy(X)))&
(((~humble(paul)|~rich(paul)))<=>(funny(mary)))&
(![X]:((humble(X)<~>~tall(X))<=>(~happy(X)|happy(X))))&
(![X]:((funny(X)|strong(X))<=>(generous(X)<~>~happy(X))))&
(![X]:((tall(X)<~>wise(X))<=>(wise(X)&~calm(X))))&
((?[X]:(quiet(X)))=>(?[X]:(brav... | ~curious(susan) | [] | null | 0 |
If john is not tall or creative then fred is either not funny or not kind.
If fred is old or not strong then someone is old or kind and vice versa.
Everyone who is both not creative and happy is both patient and not generous.
If alice is both brave and not funny then someone is rich and vice versa.
Everyone who is not ... | Lucy is not strong. | contradiction | (((~tall(john)|creative(john)))=>((~funny(fred)<~>~kind(fred))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(X))))&
(((brave(alice)&~funny(alice)))<=>(?[X]:(rich(X))))&
(![X]:(~happy(X)<=>(~creative(X)<~>quiet(X))))&
(![X]:((funny(X)<~>creative(X))=>... | ~strong(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2462726255846594840485341
% SZS output start Proof for 2462726255846594840485341
10. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0))) [input p9]
25. ~strong(lucy) [input hypothesis]
59. ! [X0] : ((quiet(X0) | (quiet(X0) & ~strong(X0))) & ((~quiet(X0) | strong(X0)) | ~quiet(X0))) [nnf tr... | 0 |
If john is either not kind or creative then someone is not humble or not rich and vice versa.
If paul is rich or brave then someone is both not brave and patient and vice versa.
Everyone who is not old is old or not tall and vice versa.
If paul is both wise and funny then mary is curious and vice versa.
Everyone who is... | Mary is not humble. | entailment | (((~kind(john)<~>creative(john)))<=>(?[X]:((~humble(X)|~rich(X)))))&
(((rich(paul)|brave(paul)))<=>(?[X]:((~brave(X)&patient(X)))))&
(![X]:(~old(X)<=>(old(X)|~tall(X))))&
(((wise(paul)&funny(paul)))<=>(curious(mary)))&
(![X]:(tall(X)<=>(funny(X)<~>~strong(X))))&
(![X]:((~rich(X)&patient(X))=>(~funny(X)|~wise(X))))&
((?... | ~humble(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1143690853749847841636784
% SZS output start Proof for 1143690853749847841636784
15. ! [X0] : (humble(X0) <=> (~humble(X0) & calm(X0))) [input p14]
25. humble(mary) [input hypothesis]
75. ! [X0] : ((humble(X0) | (humble(X0) | ~calm(X0))) & ((~humble(X0) & calm(X0)) | ~humble(X0))) [nnf tr... | 0 |
If susan is either funny or happy then susan is both not old and not calm and vice versa. Everyone who is either quiet or funny is both funny and not old. Everyone who is not strong is funny or not strong. If alice is tall or not calm then susan is both creative and tall. Everyone who is either not funny or calm is not... | Susan is not strong. | contradiction | (((funny(susan)<~>happy(susan)))<=>((~old(susan)&~calm(susan))))&
(![X]:((quiet(X)<~>funny(X))=>(funny(X)&~old(X))))&
(![X]:(~strong(X)=>(funny(X)|~strong(X))))&
(((tall(alice)|~calm(alice)))=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~stro... | ~strong(susan) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8444537410051882726133603
% SZS output start Proof for 8444537410051882726133603
2. ! [X0] : ((quiet(X0) <~> funny(X0)) => (~old(X0) & funny(X0))) [input p1]
6. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p5]
11. ! [X0] : ((wise(X0) <~> creative(X0)) <=> ... | 0 |
Everyone who is either old or not quiet is both curious and not kind.
Everyone who is creative or patient is not quiet.
Everyone who is not happy or humble is both not brave and not funny.
Everyone who is not quiet is strong.
If someone is either brave or not curious then someone is funny and vice versa.
Everyone who i... | Paul is not humble. | neutral | (![X]:((old(X)<~>~quiet(X))=>(curious(X)&~kind(X))))&
(![X]:((creative(X)|patient(X))=>~quiet(X)))&
(![X]:((~happy(X)|humble(X))=>(~brave(X)&~funny(X))))&
(![X]:(~quiet(X)=>strong(X)))&
((?[X]:((brave(X)<~>~curious(X))))<=>(?[X]:(funny(X))))&
(![X]:((happy(X)&~kind(X))<=>(~wise(X)|~patient(X))))&
(![X]:((~brave(X)<~>fu... | ~humble(paul) | [] | null | 0 |
Everyone who is not calm or tall is not creative and vice versa.
If someone is either not funny or not happy then alice is either not happy or kind.
Everyone who is calm is wise.
If paul is either generous or not calm then someone is kind or generous and vice versa.
If alice is not calm or calm then someone is not calm... | Paul is calm. | contradiction | (![X]:((~calm(X)|tall(X))<=>~creative(X)))&
((?[X]:((~funny(X)<~>~happy(X))))=>((~happy(alice)<~>kind(alice))))&
(![X]:(calm(X)=>wise(X)))&
(((generous(paul)<~>~calm(paul)))<=>(?[X]:((kind(X)|generous(X)))))&
(((~calm(alice)|calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&happy(X))=>(wise(X)&~happy(X))))&
(![X]:... | calm(paul) | [
"p2",
"p5",
"p7",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 68073040737670150622327
% SZS output start Proof for 68073040737670150622327
3. ! [X0] : (calm(X0) => wise(X0)) [input p2]
6. ! [X0] : ((happy(X0) & creative(X0)) => (~happy(X0) & wise(X0))) [input p5]
8. ! [X0] : (wise(X0) <=> creative(X0)) [input p7]
10. ! [X0] : ((~happy(X0) | ~wise(X0... | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Mary is funny. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | funny(mary) | [] | null | 0 |
Everyone who is not funny or creative is both curious and happy and vice versa. Everyone who is kind or not old is either not wise or not generous. If someone is creative then paul is either not wise or patient. Everyone who is either humble or not quiet is both happy and not rich. If john is both not patient and not c... | Alice is quiet. | entailment | (![X]:((~funny(X)|creative(X))<=>(curious(X)&happy(X))))&
(![X]:((kind(X)|~old(X))=>(~wise(X)<~>~generous(X))))&
((?[X]:(creative(X)))=>((~wise(paul)<~>patient(paul))))&
(![X]:((humble(X)<~>~quiet(X))=>(happy(X)&~rich(X))))&
(((~patient(john)&~calm(john)))=>(?[X]:((old(X)&kind(X)))))&
((~calm(alice))=>(?[X]:((happy(X)&... | quiet(alice) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p9",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4618758040730322508732303
% SZS output start Proof for 4618758040730322508732303
1. ! [X0] : ((creative(X0) | ~funny(X0)) <=> (happy(X0) & curious(X0))) [input p0]
4. ! [X0] : ((humble(X0) <~> ~quiet(X0)) => (~rich(X0) & happy(X0))) [input p3]
7. ? [X0] : (calm(X0) | strong(X0)) => (rich(... | 0 |
If someone is both brave and happy then susan is kind or not humble.
Everyone who is both creative and not generous is generous.
Everyone who is both tall and wise is both not creative and generous.
Everyone who is funny or not generous is both calm and creative.
If someone is generous then lucy is either patient or cr... | John is not creative. | entailment | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:(generous(X)))=>((patient(lucy)<~>creative(lucy))))&
(![X]:(humble(X)=>(brave(X)&~curi... | ~creative(john) | [
"p5",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7570170244862776044406063
% SZS output start Proof for 7570170244862776044406063
6. ! [X0] : (humble(X0) => (~curious(X0) & brave(X0))) [input p5]
14. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X0] : brave(X0) [input p13]
22. ~creative(john) | humble(john) [input p21]
25. creative(john) [input ... | 0 |
Everyone who is not tall is happy. Everyone who is brave or not kind is not kind or rich and vice versa. Everyone who is either not old or wise is calm or brave and vice versa. Everyone who is not quiet or not strong is either funny or wise and vice versa. Everyone who is either curious or not strong is tall or not pat... | Lucy is not happy. | entailment | (![X]:(~tall(X)=>happy(X)))&
(![X]:((brave(X)|~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~old(X)<~>wise(X))<=>(calm(X)|brave(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(funny(X)<~>wise(X))))&
(![X]:((curious(X)<~>~strong(X))=>(tall(X)|~patient(X))))&
(![X]:((calm(X)|~old(X))<=>(~curious(X)|~brave(X))))&
(![X]:(~brave(X)=>(~... | ~happy(lucy) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5745252833443689063209645
% SZS output start Proof for 5745252833443689063209645
3. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (brave(X0) | calm(X0))) [input p2]
6. ! [X0] : ((~old(X0) | calm(X0)) <=> (~brave(X0) | ~curious(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (~tall(X0) & ~brave(X0))) ... | 0 |
Everyone who is either not quiet or wise is either rich or not strong and vice versa.
Everyone who is either not wise or not generous is not patient or generous.
If john is brave or creative then lucy is not old or not humble and vice versa.
Everyone who is both not rich and not old is old and vice versa.
If fred is bo... | Paul is calm. | contradiction | (![X]:((~quiet(X)<~>wise(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((~wise(X)<~>~generous(X))=>(~patient(X)|generous(X))))&
(((brave(john)|creative(john)))<=>((~old(lucy)|~humble(lucy))))&
(![X]:((~rich(X)&~old(X))<=>old(X)))&
(((~quiet(fred)&~creative(fred)))<=>(?[X]:((~brave(X)<~>~patient(X)))))&
((?[X]:(wise(X)))=>((hap... | calm(paul) | [
"p3",
"p4",
"p7",
"p8",
"p9",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7294197534450008024751434
% SZS output start Proof for 7294197534450008024751434
4. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p3]
5. (~creative(fred) & ~quiet(fred)) <=> ? [X0] : (~brave(X0) <~> ~patient(X0)) [input p4]
8. ! [X0] : ((~brave(X0) & calm(X0)) <=> ~strong(X0)) [inp... | 0 |
If someone is not wise then someone is both happy and tall and vice versa.
Everyone who is both not wise and wise is both not old and not rich.
If someone is either not curious or generous then someone is not brave and vice versa.
Everyone who is both not rich and not happy is both brave and kind and vice versa.
If som... | Susan is not generous. | neutral | ((?[X]:(~wise(X)))<=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((~wise(X)&wise(X))=>(~old(X)&~rich(X))))&
((?[X]:((~curious(X)<~>generous(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~rich(X)&~happy(X))<=>(brave(X)&kind(X))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(calm(X)|gener... | ~generous(susan) | [] | null | 0 |
If someone is either curious or strong then someone is both not old and not curious and vice versa.
Everyone who is not quiet is curious and vice versa.
If someone is either rich or brave then alice is either funny or wise and vice versa.
Everyone who is not strong is both wise and not kind.
Everyone who is either not ... | Paul is curious. | entailment | ((?[X]:((curious(X)<~>strong(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((rich(X)<~>brave(X))))<=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave(X)<~>creative... | curious(paul) | [
"p3",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6630611226603238711589770
% SZS output start Proof for 6630611226603238711589770
4. ! [X0] : (~strong(X0) => (~kind(X0) & wise(X0))) [input p3]
9. ? [X0] : ~generous(X0) <=> ? [X0] : (~generous(X0) <~> ~strong(X0)) [input p8]
10. ! [X0] : (~wise(X0) <=> ~generous(X0)) [input p9]
14. ! [X0... | 0 |
Everyone who is both curious and happy is strong or brave and vice versa.
Everyone who is both not strong and rich is calm or old and vice versa.
If someone is either not kind or rich then fred is wise and vice versa.
Everyone who is either generous or not calm is both patient and funny.
Everyone who is not brave is no... | Susan is calm. | contradiction | (![X]:((curious(X)&happy(X))<=>(strong(X)|brave(X))))&
(![X]:((~strong(X)&rich(X))<=>(calm(X)|old(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(wise(fred)))&
(![X]:((generous(X)<~>~calm(X))=>(patient(X)&funny(X))))&
(![X]:(~brave(X)<=>(~wise(X)|rich(X))))&
(((funny(susan)|humble(susan)))=>((curious(paul)<~>strong(paul))))&
... | calm(susan) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6178818791049428964881144
% SZS output start Proof for 6178818791049428964881144
2. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (old(X0) | calm(X0))) [input p1]
5. ! [X0] : (~brave(X0) <=> (rich(X0) | ~wise(X0))) [input p4]
8. ! [X0] : (rich(X0) => (brave(X0) & humble(X0))) [input p7]
25. calm... | 0 |
If someone is not creative then someone is not wise or not strong and vice versa. If someone is either not kind or not calm then someone is wise or not happy. If mary is curious then lucy is both not strong and strong. Everyone who is either not generous or not funny is old or not kind. If lucy is quiet or not quiet th... | Mary is old. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((~wise(X)|~strong(X)))))&
((?[X]:((~kind(X)<~>~calm(X))))=>(?[X]:((wise(X)|~happy(X)))))&
((curious(mary))=>((~strong(lucy)&strong(lucy))))&
(![X]:((~generous(X)<~>~funny(X))=>(old(X)|~kind(X))))&
(((quiet(lucy)|~quiet(lucy)))=>(?[X]:((humble(X)<~>patient(X)))))&
(![X]:(humble(X)<=>(crea... | old(mary) | [
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7050389851295883037959692
% SZS output start Proof for 7050389851295883037959692
14. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~quiet(X0)) [input p13]
16. ! [X0] : (~patient(X0) <=> (quiet(X0) <~> ~tall(X0))) [input p15]
18. ~curious(mary) & tall(mary) [input p17]
25. old(mary) [input hypoth... | 0 |
Everyone who is both generous and calm is creative and vice versa.
If someone is either happy or not wise then paul is not generous.
If someone is not creative or not generous then fred is either not kind or not wise and vice versa.
If mary is not tall or generous then fred is not patient and vice versa.
Everyone who i... | Fred is not patient. | neutral | (![X]:((generous(X)&calm(X))<=>creative(X)))&
((?[X]:((happy(X)<~>~wise(X))))=>(~generous(paul)))&
((?[X]:((~creative(X)|~generous(X))))<=>((~kind(fred)<~>~wise(fred))))&
(((~tall(mary)|generous(mary)))<=>(~patient(fred)))&
(![X]:(~creative(X)<=>(~rich(X)&~funny(X))))&
((?[X]:((~happy(X)|~patient(X))))=>(~old(mary)))&
... | ~patient(fred) | [] | null | 0 |
If someone is either calm or patient then mary is calm.
Everyone who is both tall and strong is kind.
Everyone who is not calm is not wise or not curious and vice versa.
Everyone who is either creative or quiet is curious.
If paul is strong or not happy then someone is not quiet.
If susan is both not curious and not br... | Alice is rich. | neutral | ((?[X]:((calm(X)<~>patient(X))))=>(calm(mary)))&
(![X]:((tall(X)&strong(X))=>kind(X)))&
(![X]:(~calm(X)<=>(~wise(X)|~curious(X))))&
(![X]:((creative(X)<~>quiet(X))=>curious(X)))&
(((strong(paul)|~happy(paul)))=>(?[X]:(~quiet(X))))&
(((~curious(susan)&~brave(susan)))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~wise(X)<~>~c... | rich(alice) | [] | null | 0 |
If paul is either calm or generous then someone is both quiet and not wise.
If someone is both not patient and not wise then paul is quiet or wise and vice versa.
If alice is both not curious and old then susan is generous and vice versa.
If someone is either not strong or not creative then someone is both brave and ge... | Alice is generous. | contradiction | (((calm(paul)<~>generous(paul)))=>(?[X]:((quiet(X)&~wise(X)))))&
((?[X]:((~patient(X)&~wise(X))))<=>((quiet(paul)|wise(paul))))&
(((~curious(alice)&old(alice)))<=>(generous(susan)))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((brave(X)&~curious(X))<=>(happy(X)|~wise(X))))&
((?[X]:(... | generous(alice) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7740037087609942521773995
% SZS output start Proof for 7740037087609942521773995
4. ? [X0] : (~strong(X0) <~> ~creative(X0)) <=> ? [X0] : (generous(X0) & brave(X0)) [input p3]
5. ! [X0] : ((~curious(X0) & brave(X0)) <=> (~wise(X0) | happy(X0))) [input p4]
9. ! [X0] : (~rich(X0) <=> curiou... | 0 |
Everyone who is both not curious and kind is happy and vice versa. If lucy is both brave and humble then someone is creative or not calm. If someone is either curious or creative then susan is either calm or creative. If mary is generous then someone is not brave or not patient and vice versa. Everyone who is either no... | Susan is not humble. | neutral | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((creative(X)|~calm(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)|patient(X))))&
(![X]:((~tall(X)<~>~calm(X)... | ~humble(susan) | [] | null | 0 |
If mary is both not strong and old then someone is not rich or patient.
If someone is either kind or generous then susan is either not generous or creative and vice versa.
Everyone who is both not calm and patient is either not kind or generous and vice versa.
If paul is not kind or not quiet then susan is not calm and... | Susan is not rich. | contradiction | (((~strong(mary)&old(mary)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((kind(X)<~>generous(X))))<=>((~generous(susan)<~>creative(susan))))&
(![X]:((~calm(X)&patient(X))<=>(~kind(X)<~>generous(X))))&
(((~kind(paul)|~quiet(paul)))<=>(~calm(susan)))&
(![X]:(~happy(X)=>(old(X)&~patient(X))))&
(![X]:(rich(X)=>~creative(X)))... | ~rich(susan) | [
"p1",
"p2",
"p9",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1855432985460005743358007
% SZS output start Proof for 1855432985460005743358007
2. ? [X0] : (kind(X0) <~> generous(X0)) <=> (~generous(susan) <~> creative(susan)) [input p1]
3. ! [X0] : ((patient(X0) & ~calm(X0)) <=> (~kind(X0) <~> generous(X0))) [input p2]
10. ? [X0] : creative(X0) <=> ... | 0 |
Everyone who is either wise or rich is not curious and vice versa. Everyone who is both not strong and rich is not patient or not humble and vice versa. Everyone who is kind or not patient is not creative or wise and vice versa. Everyone who is not old is either not calm or not wise and vice versa. Everyone who is wise... | Susan is old. | entailment | (![X]:((wise(X)<~>rich(X))<=>~curious(X)))&
(![X]:((~strong(X)&rich(X))<=>(~patient(X)|~humble(X))))&
(![X]:((kind(X)|~patient(X))<=>(~creative(X)|wise(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~tall(X)|~old(X))))&
((?[X]:(~wise(X)))<=>((c... | old(susan) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5815767230254949471315205
% SZS output start Proof for 5815767230254949471315205
15. ! [X0] : ((humble(X0) <~> ~humble(X0)) => ~humble(X0)) [input p14]
20. humble(susan) <~> old(susan) [input p19]
24. ~old(susan) [input hypothesis]
34. ! [X0] : (~humble(X0) | (humble(X0) <=> ~humble(X0)))... | 0 |
If someone is either happy or not tall then someone is either not calm or funny. Everyone who is quiet or curious is either not quiet or humble. If someone is not brave or old then someone is not brave or not rich. Everyone who is not kind or kind is funny or not old and vice versa. Everyone who is funny or strong is b... | Susan is not strong. | entailment | ((?[X]:((happy(X)<~>~tall(X))))=>(?[X]:((~calm(X)<~>funny(X)))))&
(![X]:((quiet(X)|curious(X))=>(~quiet(X)<~>humble(X))))&
((?[X]:((~brave(X)|old(X))))=>(?[X]:((~brave(X)|~rich(X)))))&
(![X]:((~kind(X)|kind(X))<=>(funny(X)|~old(X))))&
(![X]:((funny(X)|strong(X))=>(~strong(X)&~old(X))))&
(((~wise(paul)|~kind(paul)))=>(c... | ~strong(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1989332360356067144397670
% SZS output start Proof for 1989332360356067144397670
5. ! [X0] : ((strong(X0) | funny(X0)) => (~old(X0) & ~strong(X0))) [input p4]
24. strong(susan) [input hypothesis]
33. ! [X0] : ((~old(X0) & ~strong(X0)) | (~strong(X0) & ~funny(X0))) [ennf transformation 5]
... | 0 |
If fred is brave or not kind then john is both old and tall.
Everyone who is either not tall or patient is either not quiet or not strong.
If someone is brave then someone is both not quiet and not old and vice versa.
Everyone who is calm or not curious is not quiet or old.
If someone is not brave or wise then susan is... | Alice is strong. | entailment | (((brave(fred)|~kind(fred)))=>((old(john)&tall(john))))&
(![X]:((~tall(X)<~>patient(X))=>(~quiet(X)<~>~strong(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~quiet(X)&~old(X)))))&
(![X]:((calm(X)|~curious(X))=>(~quiet(X)|old(X))))&
((?[X]:((~brave(X)|wise(X))))<=>((~funny(susan)<~>patient(susan))))&
(![X]:((patient(X)<~>~rich(X))... | strong(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 922644803314221184316168
% SZS output start Proof for 922644803314221184316168
20. kind(alice) & strong(alice) [input p19]
25. ~strong(alice) [input hypothesis]
151. strong(alice) [cnf transformation 20]
160. ~strong(alice) [cnf transformation 25]
331. $false [subsumption resolution 160,1... | 0 |
Everyone who is both not patient and wise is quiet or happy and vice versa.
If someone is kind then someone is not brave.
If john is not happy or tall then someone is not calm or not kind and vice versa.
If someone is either generous or not rich then lucy is both not creative and not patient and vice versa.
Everyone wh... | Lucy is brave. | entailment | (![X]:((~patient(X)&wise(X))<=>(quiet(X)|happy(X))))&
((?[X]:(kind(X)))=>(?[X]:(~brave(X))))&
(((~happy(john)|tall(john)))<=>(?[X]:((~calm(X)|~kind(X)))))&
((?[X]:((generous(X)<~>~rich(X))))<=>((~creative(lucy)&~patient(lucy))))&
(![X]:((strong(X)&funny(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(~humble(X)=>~happy(X)))&
... | brave(lucy) | [
"p0",
"p6",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2644440986842019205494991
% SZS output start Proof for 2644440986842019205494991
1. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (happy(X0) | quiet(X0))) [input p0]
7. (rich(susan) & brave(susan)) <=> ? [X0] : happy(X0) [input p6]
10. ! [X0] : ((~brave(X0) | old(X0)) => happy(X0)) [input p9]
1... | 0 |
Everyone who is tall or wise is not quiet.
Everyone who is either not quiet or curious is either not wise or not funny.
If someone is both wise and old then susan is either not curious or not happy and vice versa.
If someone is both not calm and humble then someone is either not kind or not creative.
Everyone who is bo... | Susan is generous. | entailment | (![X]:((tall(X)|wise(X))=>~quiet(X)))&
(![X]:((~quiet(X)<~>curious(X))=>(~wise(X)<~>~funny(X))))&
((?[X]:((wise(X)&old(X))))<=>((~curious(susan)<~>~happy(susan))))&
((?[X]:((~calm(X)&humble(X))))=>(?[X]:((~kind(X)<~>~creative(X)))))&
(![X]:((~old(X)&~strong(X))=>(~funny(X)&~calm(X))))&
(![X]:((patient(X)<~>kind(X))<=>(... | generous(susan) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4471397131214815843781910
% SZS output start Proof for 4471397131214815843781910
9. ! [X0] : ((brave(X0) | strong(X0)) => (~funny(X0) & generous(X0))) [input p8]
14. ! [X0] : (~tall(X0) <=> (tall(X0) | strong(X0))) [input p13]
21. ~generous(susan) [input hypothesis]
28. ! [X0] : ((~funny(... | 0 |
If alice is both tall and not quiet then someone is tall.
Everyone who is both not patient and not quiet is not calm or not funny and vice versa.
Everyone who is either not wise or patient is both tall and brave.
If someone is quiet or not patient then alice is either not kind or creative and vice versa.
If someone is ... | John is not curious. | neutral | (((tall(alice)&~quiet(alice)))=>(?[X]:(tall(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~calm(X)|~funny(X))))&
(![X]:((~wise(X)<~>patient(X))=>(tall(X)&brave(X))))&
((?[X]:((quiet(X)|~patient(X))))<=>((~kind(alice)<~>creative(alice))))&
((?[X]:(~tall(X)))<=>(?[X]:(~old(X))))&
(![X]:((rich(X)|~funny(X))=>funny(X)))&
(![X]:... | ~curious(john) | [] | null | 0 |
Everyone who is not brave or rich is either rich or kind.
If someone is either not calm or curious then susan is happy or not generous.
Everyone who is either wise or not patient is wise or not quiet.
If mary is both not strong and not brave then someone is quiet or not calm.
If someone is either wise or old then john ... | Susan is rich. | neutral | (![X]:((~brave(X)|rich(X))=>(rich(X)<~>kind(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>((happy(susan)|~generous(susan))))&
(![X]:((wise(X)<~>~patient(X))=>(wise(X)|~quiet(X))))&
(((~strong(mary)&~brave(mary)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:((wise(X)<~>old(X))))<=>((tall(john)&~kind(john))))&
(((old(susan)&calm(... | rich(susan) | [] | null | 0 |
Everyone who is not kind or not curious is either not curious or not rich.
If susan is old or funny then someone is not strong or not quiet and vice versa.
If someone is not calm or not brave then someone is either not creative or curious.
Everyone who is either generous or not kind is either curious or generous.
Every... | Fred is not generous. | neutral | (![X]:((~kind(X)|~curious(X))=>(~curious(X)<~>~rich(X))))&
(((old(susan)|funny(susan)))<=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:((generous(X)<~>~kind(X))=>(curious(X)<~>generous(X))))&
(![X]:(~old(X)=>strong(X)))&
((?[X]:((kind(X)<~>calm(X))))<=>(... | ~generous(fred) | [] | null | 0 |
Everyone who is both not brave and strong is not happy or not humble and vice versa.
If someone is both not strong and curious then someone is not wise and vice versa.
Everyone who is funny is both wise and generous and vice versa.
Everyone who is not strong or not kind is not humble.
Everyone who is either funny or ri... | Paul is creative. | entailment | (![X]:((~brave(X)&strong(X))<=>(~happy(X)|~humble(X))))&
((?[X]:((~strong(X)&curious(X))))<=>(?[X]:(~wise(X))))&
(![X]:(funny(X)<=>(wise(X)&generous(X))))&
(![X]:((~strong(X)|~kind(X))=>~humble(X)))&
(![X]:((funny(X)<~>rich(X))=>(brave(X)&~creative(X))))&
((?[X]:((~humble(X)&funny(X))))<=>((~funny(mary)|~kind(mary))))&... | creative(paul) | [
"p0",
"p3",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8930068621953301211902759
% SZS output start Proof for 8930068621953301211902759
1. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (~humble(X0) | ~happy(X0))) [input p0]
4. ! [X0] : ((~kind(X0) | ~strong(X0)) => ~humble(X0)) [input p3]
15. ! [X0] : ((brave(X0) <~> ~happy(X0)) => creative(X0)) [i... | 0 |
Everyone who is curious or happy is either not wise or not calm. If someone is not old or not humble then someone is tall and vice versa. Everyone who is both curious and strong is old. If someone is both not brave and not curious then someone is either not brave or not creative. If john is both not calm and funny then... | John is calm. | neutral | (![X]:((curious(X)|happy(X))=>(~wise(X)<~>~calm(X))))&
((?[X]:((~old(X)|~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:((curious(X)&strong(X))=>old(X)))&
((?[X]:((~brave(X)&~curious(X))))=>(?[X]:((~brave(X)<~>~creative(X)))))&
(((~calm(john)&funny(john)))=>(?[X]:(~calm(X))))&
(![X]:((kind(X)&~creative(X))=>strong(X)))&
(((~t... | calm(john) | [] | null | 0 |
Everyone who is not patient or quiet is either not quiet or generous. Everyone who is either not happy or not calm is either not wise or patient and vice versa. If someone is either not calm or quiet then lucy is not rich. If someone is patient then someone is both not tall and not old. If fred is either not funny or n... | Susan is wise. | contradiction | (![X]:((~patient(X)|quiet(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>(~wise(X)<~>patient(X))))&
((?[X]:((~calm(X)<~>quiet(X))))=>(~rich(lucy)))&
((?[X]:(patient(X)))=>(?[X]:((~tall(X)&~old(X)))))&
(((~funny(fred)<~>~strong(fred)))=>(?[X]:((patient(X)&~funny(X)))))&
((?[X]:((~old(X)&creative(X))))... | wise(susan) | [
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 448561311785285872420713
% SZS output start Proof for 448561311785285872420713
9. ? [X0] : (~curious(X0) & curious(X0)) <=> ? [X0] : (~old(X0) | ~happy(X0)) [input p8]
21. old(susan) <~> wise(susan) [input p20]
23. wise(susan) [input hypothesis]
25. ? [X0] : (~curious(X0) & curious(X0)) <... | 0 |
Everyone who is brave is both calm and old and vice versa.
Everyone who is not tall or humble is not generous or wise.
Everyone who is both humble and quiet is not brave.
Everyone who is either not quiet or not happy is both not humble and wise and vice versa.
If lucy is not quiet then susan is either funny or not crea... | Paul is quiet. | entailment | (![X]:(brave(X)<=>(calm(X)&old(X))))&
(![X]:((~tall(X)|humble(X))=>(~generous(X)|wise(X))))&
(![X]:((humble(X)&quiet(X))=>~brave(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~humble(X)&wise(X))))&
((~quiet(lucy))<=>((funny(susan)<~>~creative(susan))))&
((?[X]:((~quiet(X)&patient(X))))=>((~calm(susan)|tall(susan))))&
(((~cre... | quiet(paul) | [
"p0",
"p3",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3331078099242478550416557
% SZS output start Proof for 3331078099242478550416557
1. ! [X0] : (brave(X0) <=> (old(X0) & calm(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) <~> ~happy(X0)) <=> (wise(X0) & ~humble(X0))) [input p3]
9. ! [X0] : (~brave(X0) => (happy(X0) | ~humble(X0))) [input p8]
1... | 0 |
If someone is not wise then someone is both quiet and old and vice versa.
If someone is kind or not patient then lucy is quiet and vice versa.
Everyone who is both generous and not generous is either not wise or not old.
Everyone who is strong or brave is either not old or brave and vice versa.
If mary is curious or no... | Paul is kind. | contradiction | ((?[X]:(~wise(X)))<=>(?[X]:((quiet(X)&old(X)))))&
((?[X]:((kind(X)|~patient(X))))<=>(quiet(lucy)))&
(![X]:((generous(X)&~generous(X))=>(~wise(X)<~>~old(X))))&
(![X]:((strong(X)|brave(X))<=>(~old(X)<~>brave(X))))&
(((curious(mary)|~wise(mary)))=>(?[X]:((strong(X)&~generous(X)))))&
(((~rich(susan)<~>~creative(susan)))=>(... | kind(paul) | [
"p1",
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6528992314024622953367118
% SZS output start Proof for 6528992314024622953367118
2. ? [X0] : (~patient(X0) | kind(X0)) <=> quiet(lucy) [input p1]
4. ! [X0] : ((brave(X0) | strong(X0)) <=> (~old(X0) <~> brave(X0))) [input p3]
8. ! [X0] : ((~brave(X0) | wise(X0)) <=> (~quiet(X0) & ~tall(X0)... | 0 |
Everyone who is creative is strong or not creative and vice versa.
Everyone who is either not creative or tall is not quiet.
Everyone who is either not happy or quiet is not generous or not funny and vice versa.
If someone is both quiet and not curious then mary is not old and vice versa.
If alice is not kind or kind t... | Lucy is wise. | entailment | (![X]:(creative(X)<=>(strong(X)|~creative(X))))&
(![X]:((~creative(X)<~>tall(X))=>~quiet(X)))&
(![X]:((~happy(X)<~>quiet(X))<=>(~generous(X)|~funny(X))))&
((?[X]:((quiet(X)&~curious(X))))<=>(~old(mary)))&
(((~kind(alice)|kind(alice)))=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:(~tall(X)<=>(happy(X)|~brave(X))))&
(![X]... | wise(lucy) | [
"p5",
"p6",
"p8",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 646092521039580225016262
% SZS output start Proof for 646092521039580225016262
6. ! [X0] : (~tall(X0) <=> (~brave(X0) | happy(X0))) [input p5]
7. ! [X0] : ((~curious(X0) & happy(X0)) <=> (rich(X0) | kind(X0))) [input p6]
9. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (curious(X0) & wise(X0)))... | 0 |
If john is not strong or not happy then mary is humble or not patient.
If someone is either brave or not quiet then someone is either not happy or not curious.
Everyone who is quiet is either not funny or old.
Everyone who is not quiet or wise is both not old and funny.
Everyone who is either not tall or rich is curiou... | John is not wise. | contradiction | (((~strong(john)|~happy(john)))=>((humble(mary)|~patient(mary))))&
((?[X]:((brave(X)<~>~quiet(X))))=>(?[X]:((~happy(X)<~>~curious(X)))))&
(![X]:(quiet(X)=>(~funny(X)<~>old(X))))&
(![X]:((~quiet(X)|wise(X))=>(~old(X)&funny(X))))&
(![X]:((~tall(X)<~>rich(X))<=>(curious(X)|generous(X))))&
(![X]:((~humble(X)|~brave(X))<=>b... | ~wise(john) | [
"p5",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2860749692436275539368735
% SZS output start Proof for 2860749692436275539368735
6. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> brave(X0)) [input p5]
11. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (wise(X0) <~> humble(X0))) [input p10]
17. strong(john) [input p16]
23. ~wise(john) [input hypo... | 0 |
Everyone who is not happy or not tall is both strong and happy and vice versa.
If susan is either happy or not wise then paul is either old or not wise.
If john is not funny or not old then someone is calm or not curious and vice versa.
If fred is calm then alice is rich and vice versa.
Everyone who is tall or old is e... | Fred is strong. | entailment | (![X]:((~happy(X)|~tall(X))<=>(strong(X)&happy(X))))&
(((happy(susan)<~>~wise(susan)))=>((old(paul)<~>~wise(paul))))&
(((~funny(john)|~old(john)))<=>(?[X]:((calm(X)|~curious(X)))))&
((calm(fred))<=>(rich(alice)))&
(![X]:((tall(X)|old(X))<=>(~tall(X)<~>~brave(X))))&
(![X]:(~tall(X)<=>(~kind(X)|creative(X))))&
(![X]:((~t... | strong(fred) | [
"p0",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 381144080079967200394663
% SZS output start Proof for 381144080079967200394663
1. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (happy(X0) & strong(X0))) [input p0]
6. ! [X0] : (~tall(X0) <=> (creative(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | ~tall(X0)) => ~humble(X0)) [input p6]
... | 0 |
If mary is not humble then susan is both not humble and not rich. If someone is both not strong and strong then lucy is both old and not funny and vice versa. If someone is not strong or not kind then someone is curious or strong. Everyone who is kind or not happy is both quiet and not humble. If someone is both humble... | Mary is curious. | neutral | ((~humble(mary))=>((~humble(susan)&~rich(susan))))&
((?[X]:((~strong(X)&strong(X))))<=>((old(lucy)&~funny(lucy))))&
((?[X]:((~strong(X)|~kind(X))))=>(?[X]:((curious(X)|strong(X)))))&
(![X]:((kind(X)|~happy(X))=>(quiet(X)&~humble(X))))&
((?[X]:((humble(X)&~happy(X))))<=>(?[X]:(happy(X))))&
(![X]:((kind(X)|rich(X))=>(~ha... | curious(mary) | [] | null | 0 |
Everyone who is either rich or not happy is generous or patient.
Everyone who is both old and brave is rich and vice versa.
If someone is creative then fred is generous and vice versa.
If john is either rich or creative then alice is rich and vice versa.
Everyone who is either not creative or not quiet is not humble or... | Fred is not generous. | contradiction | (![X]:((rich(X)<~>~happy(X))=>(generous(X)|patient(X))))&
(![X]:((old(X)&brave(X))<=>rich(X)))&
((?[X]:(creative(X)))<=>(generous(fred)))&
(((rich(john)<~>creative(john)))<=>(rich(alice)))&
(![X]:((~creative(X)<~>~quiet(X))=>(~humble(X)|patient(X))))&
(((happy(alice)|creative(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((gen... | ~generous(fred) | [
"p2",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3555641275973071521899604
% SZS output start Proof for 3555641275973071521899604
3. ? [X0] : creative(X0) <=> generous(fred) [input p2]
7. ! [X0] : ((strong(X0) | generous(X0)) <=> (~creative(X0) <~> ~generous(X0))) [input p6]
9. ! [X0] : ((funny(X0) | rich(X0)) => (tall(X0) & strong(X0))... | 0 |
Everyone who is both curious and not kind is not funny and vice versa. If someone is not patient then someone is rich or happy. Everyone who is not happy or not rich is kind or calm and vice versa. Everyone who is not generous or not humble is not calm or not rich and vice versa. If someone is not kind then someone is ... | John is not funny. | contradiction | (![X]:((curious(X)&~kind(X))<=>~funny(X)))&
((?[X]:(~patient(X)))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((~happy(X)|~rich(X))<=>(kind(X)|calm(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~calm(X)|~rich(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~generous(X))))&
((?[X]:((~kind(X)<~>~rich(X))))=>((~brave(mary)&~humble(mary))))&
(![... | ~funny(john) | [
"p0",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 69904936611519137197055
% SZS output start Proof for 69904936611519137197055
1. ! [X0] : ((~kind(X0) & curious(X0)) <=> ~funny(X0)) [input p0]
5. ? [X0] : ~kind(X0) <=> ? [X0] : ~generous(X0) [input p4]
7. ! [X0] : ((~curious(X0) & humble(X0)) <=> (~calm(X0) | ~generous(X0))) [input p6]
1... | 0 |
Everyone who is both patient and not funny is not rich or rich and vice versa.
Everyone who is not creative or not quiet is either not calm or funny and vice versa.
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is eith... | Paul is not kind. | entailment | (![X]:((patient(X)&~funny(X))<=>(~rich(X)|rich(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patien... | ~kind(paul) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1307674512113386355161733
% SZS output start Proof for 1307674512113386355161733
1. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : ((curious(X0) | ~curious(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & ... | 0 |
If john is both wise and not wise then mary is rich or happy and vice versa. Everyone who is either not funny or not strong is generous and vice versa. Everyone who is either brave or generous is both creative and tall. Everyone who is curious or old is both calm and funny. Everyone who is both not rich and funny is no... | John is funny. | entailment | (((wise(john)&~wise(john)))<=>((rich(mary)|happy(mary))))&
(![X]:((~funny(X)<~>~strong(X))<=>generous(X)))&
(![X]:((brave(X)<~>generous(X))=>(creative(X)&tall(X))))&
(![X]:((curious(X)|old(X))=>(calm(X)&funny(X))))&
(![X]:((~rich(X)&funny(X))<=>(~kind(X)|~curious(X))))&
(![X]:(~happy(X)<=>(~calm(X)<~>brave(X))))&
(((pa... | funny(john) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6529613931103936419945340
% SZS output start Proof for 6529613931103936419945340
4. ! [X0] : ((old(X0) | curious(X0)) => (funny(X0) & calm(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~rich(X0)) <=> (~curious(X0) | ~kind(X0))) [input p4]
24. ~funny(john) [input hypothesis]
29. ! [X0] : ((fu... | 0 |
If john is not wise or happy then lucy is either not humble or not wise and vice versa.
Everyone who is not rich is funny or tall and vice versa.
If susan is creative then alice is kind and vice versa.
If alice is curious then john is either humble or not funny and vice versa.
If someone is either brave or not humble t... | Mary is not kind. | contradiction | (((~wise(john)|happy(john)))<=>((~humble(lucy)<~>~wise(lucy))))&
(![X]:(~rich(X)<=>(funny(X)|tall(X))))&
((creative(susan))<=>(kind(alice)))&
((curious(alice))<=>((humble(john)<~>~funny(john))))&
((?[X]:((brave(X)<~>~humble(X))))=>((quiet(paul)<~>creative(paul))))&
((?[X]:((generous(X)<~>~patient(X))))<=>((~old(alice)<... | ~kind(mary) | [
"p1",
"p7",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8510110146190882139240220
% SZS output start Proof for 8510110146190882139240220
2. ! [X0] : (~rich(X0) <=> (tall(X0) | funny(X0))) [input p1]
8. ! [X0] : (~creative(X0) => (humble(X0) <~> ~creative(X0))) [input p7]
12. ! [X0] : (~funny(X0) => (humble(X0) & ~wise(X0))) [input p11]
13. ! [... | 0 |
If someone is kind or not old then someone is both not generous and happy.
Everyone who is not brave or creative is both not rich and not wise and vice versa.
If someone is either not patient or calm then someone is both happy and not calm.
Everyone who is kind or not happy is both wise and not old and vice versa.
If s... | Lucy is not brave. | contradiction | ((?[X]:((kind(X)|~old(X))))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:((~brave(X)|creative(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((kind(X)|~happy(X))<=>(wise(X)&~old(X))))&
((?[X]:(~kind(X)))<=>((patient(alice)|~brave(alice))))&
(![X]:((~creative(X)|old(X))... | ~brave(lucy) | [
"p1",
"p3",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8317405564382347002686137
% SZS output start Proof for 8317405564382347002686137
2. ! [X0] : ((creative(X0) | ~brave(X0)) <=> (~wise(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | kind(X0)) <=> (~old(X0) & wise(X0))) [input p3]
6. ! [X0] : ((old(X0) | ~creative(X0)) <=> (~strong(... | 0 |
If someone is either not patient or not creative then lucy is kind.
Everyone who is creative or not calm is humble and vice versa.
Everyone who is not happy or strong is either brave or not generous and vice versa.
If susan is either happy or not funny then lucy is either creative or not curious and vice versa.
Everyon... | Lucy is not rich. | neutral | ((?[X]:((~patient(X)<~>~creative(X))))=>(kind(lucy)))&
(![X]:((creative(X)|~calm(X))<=>humble(X)))&
(![X]:((~happy(X)|strong(X))<=>(brave(X)<~>~generous(X))))&
(((happy(susan)<~>~funny(susan)))<=>((creative(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)|~wise(X))<=>(~kind(X)&~curious(X))))&
(((~humble(paul)|~patient(paul)... | ~rich(lucy) | [] | null | 0 |
If someone is both happy and funny then susan is kind and vice versa. If susan is not tall then john is both curious and calm and vice versa. Everyone who is both kind and not creative is either generous or humble and vice versa. Everyone who is not creative is both not curious and wise and vice versa. Everyone who is ... | Mary is strong. | contradiction | ((?[X]:((happy(X)&funny(X))))<=>(kind(susan)))&
((~tall(susan))<=>((curious(john)&calm(john))))&
(![X]:((kind(X)&~creative(X))<=>(generous(X)<~>humble(X))))&
(![X]:(~creative(X)<=>(~curious(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))<=>(happy(X)|~happy(X))))&
(![X]:((wise(X)<~>old(X))=>(~old(X)<~>generous(X))))&
((cu... | strong(mary) | [
"p2",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8105834121688448270671743
% SZS output start Proof for 8105834121688448270671743
3. ! [X0] : ((~creative(X0) & kind(X0)) <=> (generous(X0) <~> humble(X0))) [input p2]
8. (creative(mary) & ~strong(mary)) <=> ? [X0] : (~generous(X0) <~> humble(X0)) [input p7]
23. ? [X0] : creative(X0) [inpu... | 0 |
Everyone who is either not brave or patient is not creative and vice versa. If someone is both not generous and not curious then someone is not tall or not kind. Everyone who is both calm and happy is not curious and vice versa. Everyone who is either quiet or happy is either not patient or not quiet and vice versa. Ev... | Lucy is not quiet. | contradiction | (![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((calm(X)&happy(X))<=>~curious(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~happy(X)=>~tall(X)))&
(((~quiet(lucy)|~tall(lucy)))<=>((~tall(fred)&~strong(fred))))&
(![X... | ~quiet(lucy) | [
"p0",
"p3",
"p5",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3452241999249820824196495
% SZS output start Proof for 3452241999249820824196495
1. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> ~creative(X0)) [input p0]
4. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p3]
6. (~tall(lucy) | ~quiet(lucy)) <=> (~strong(fred) ... | 0 |
Everyone who is not happy or brave is not patient and vice versa.
If mary is curious or not rich then fred is either not calm or humble and vice versa.
Everyone who is either not patient or generous is either tall or wise and vice versa.
If someone is both calm and not generous then fred is both patient and funny.
Ever... | Lucy is happy. | contradiction | (![X]:((~happy(X)|brave(X))<=>~patient(X)))&
(((curious(mary)|~rich(mary)))<=>((~calm(fred)<~>humble(fred))))&
(![X]:((~patient(X)<~>generous(X))<=>(tall(X)<~>wise(X))))&
((?[X]:((calm(X)&~generous(X))))=>((patient(fred)&funny(fred))))&
(![X]:((~generous(X)<~>happy(X))<=>~tall(X)))&
((tall(lucy))<=>(?[X]:((~tall(X)<~>k... | happy(lucy) | [
"p4",
"p5",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2244017181307133592407144
% SZS output start Proof for 2244017181307133592407144
5. ! [X0] : ((~generous(X0) <~> happy(X0)) <=> ~tall(X0)) [input p4]
6. tall(lucy) <=> ? [X0] : (~tall(X0) <~> kind(X0)) [input p5]
8. ! [X0] : ((~kind(X0) & humble(X0)) <=> (calm(X0) | ~calm(X0))) [input p7]... | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | John is humble. | contradiction | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | humble(john) | [
"p3",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3258340293329472920430213
% SZS output start Proof for 3258340293329472920430213
4. ! [X0] : ((tall(X0) | happy(X0)) <=> humble(X0)) [input p3]
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [input p5]
11. ? [X0] : (happy(X0) & ~old(X0)) <=> tall(john) [input p10]
14... | 0 |
If someone is not old or tall then someone is happy and vice versa.
If someone is either happy or tall then someone is not rich or not generous.
If someone is either happy or strong then susan is either not old or humble and vice versa.
If someone is not strong or not rich then someone is either tall or generous.
Every... | Mary is not humble. | contradiction | ((?[X]:((~old(X)|tall(X))))<=>(?[X]:(happy(X))))&
((?[X]:((happy(X)<~>tall(X))))=>(?[X]:((~rich(X)|~generous(X)))))&
((?[X]:((happy(X)<~>strong(X))))<=>((~old(susan)<~>humble(susan))))&
((?[X]:((~strong(X)|~rich(X))))=>(?[X]:((tall(X)<~>generous(X)))))&
(![X]:((creative(X)<~>~calm(X))=>(calm(X)<~>~happy(X))))&
(((~funn... | ~humble(mary) | [
"p6",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2657437209058981659878006
% SZS output start Proof for 2657437209058981659878006
7. ! [X0] : ((~strong(X0) | ~wise(X0)) <=> humble(X0)) [input p6]
12. ! [X0] : (~strong(X0) <=> (wise(X0) | ~curious(X0))) [input p11]
20. wise(mary) [input p19]
25. ~humble(mary) [input hypothesis]
57. ! [X0... | 0 |
Everyone who is both kind and not strong is either not humble or not wise.
If someone is not strong or strong then john is wise and vice versa.
If paul is both generous and kind then someone is not wise and vice versa.
If fred is either creative or generous then someone is curious or not generous and vice versa.
Everyo... | Paul is not quiet. | contradiction | (![X]:((kind(X)&~strong(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((~strong(X)|strong(X))))<=>(wise(john)))&
(((generous(paul)&kind(paul)))<=>(?[X]:(~wise(X))))&
(((creative(fred)<~>generous(fred)))<=>(?[X]:((curious(X)|~generous(X)))))&
(![X]:((funny(X)<~>~humble(X))=>(~calm(X)<~>~patient(X))))&
(((~patient(fred)&~quiet(... | ~quiet(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8590121331480233842860587
% SZS output start Proof for 8590121331480233842860587
7. ! [X0] : ((strong(X0) | ~strong(X0)) => (generous(X0) & quiet(X0))) [input p6]
24. ~quiet(paul) [input hypothesis]
33. ! [X0] : ((generous(X0) & quiet(X0)) | (~strong(X0) & strong(X0))) [ennf transformatio... | 0 |
If lucy is quiet then someone is both not tall and not generous.
Everyone who is humble or not funny is both not humble and quiet and vice versa.
Everyone who is either old or not curious is both quiet and not rich.
If mary is either quiet or patient then someone is strong or wise.
Everyone who is humble or curious is ... | Lucy is not old. | entailment | ((quiet(lucy))=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~humble(X)&quiet(X))))&
(![X]:((old(X)<~>~curious(X))=>(quiet(X)&~rich(X))))&
(((quiet(mary)<~>patient(mary)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((humble(X)|curious(X))<=>(strong(X)|~funny(X))))&
(![X]:((old(X)|~brave(X))<=>(funny(X)... | ~old(lucy) | [
"p1",
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3568940611872448627783130
% SZS output start Proof for 3568940611872448627783130
2. ! [X0] : ((~funny(X0) | humble(X0)) <=> (quiet(X0) & ~humble(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~curious(X0)) => (~rich(X0) & quiet(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | old(X0)) <=> (~kind(X... | 0 |
If fred is not strong or not creative then lucy is humble.
Everyone who is kind is not old.
Everyone who is both not happy and not creative is either strong or brave and vice versa.
If fred is either not humble or curious then susan is not curious or not creative and vice versa.
Everyone who is either not generous or h... | Susan is creative. | contradiction | (((~strong(fred)|~creative(fred)))=>(humble(lucy)))&
(![X]:(kind(X)=>~old(X)))&
(![X]:((~happy(X)&~creative(X))<=>(strong(X)<~>brave(X))))&
(((~humble(fred)<~>curious(fred)))<=>((~curious(susan)|~creative(susan))))&
(![X]:((~generous(X)<~>humble(X))=>(~tall(X)|~humble(X))))&
(((~creative(mary)&~old(mary)))<=>(patient(j... | creative(susan) | [
"p2",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3273896631338598796468416
% SZS output start Proof for 3273896631338598796468416
3. ! [X0] : ((~creative(X0) & ~happy(X0)) <=> (strong(X0) <~> brave(X0))) [input p2]
7. ! [X0] : (brave(X0) => ~curious(X0)) [input p6]
10. ! [X0] : ((rich(X0) | ~rich(X0)) => strong(X0)) [input p9]
15. ! [X0... | 0 |
If alice is either rich or happy then someone is not brave and vice versa. Everyone who is not tall or strong is not calm or old. If someone is both not curious and funny then john is both not rich and not funny. Everyone who is either old or not creative is either not kind or calm. If someone is old or not creative th... | John is generous. | contradiction | (((rich(alice)<~>happy(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((~tall(X)|strong(X))=>(~calm(X)|old(X))))&
((?[X]:((~curious(X)&funny(X))))=>((~rich(john)&~funny(john))))&
(![X]:((old(X)<~>~creative(X))=>(~kind(X)<~>calm(X))))&
((?[X]:((old(X)|~creative(X))))<=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~... | generous(john) | [
"p0",
"p9",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1791229279347321977886380
% SZS output start Proof for 1791229279347321977886380
1. (rich(alice) <~> happy(alice)) <=> ? [X0] : ~brave(X0) [input p0]
10. ! [X0] : ((~patient(X0) <~> ~brave(X0)) <=> ~strong(X0)) [input p9]
12. ! [X0] : ((~happy(X0) | ~rich(X0)) => funny(X0)) [input p11]
13... | 0 |
Everyone who is not rich or happy is kind and vice versa.
If someone is kind then lucy is either strong or tall.
If someone is not strong or funny then someone is not humble or not happy and vice versa.
Everyone who is strong or old is either not old or funny.
If someone is brave or not calm then someone is not quiet o... | Alice is not funny. | entailment | (![X]:((~rich(X)|happy(X))<=>kind(X)))&
((?[X]:(kind(X)))=>((strong(lucy)<~>tall(lucy))))&
((?[X]:((~strong(X)|funny(X))))<=>(?[X]:((~humble(X)|~happy(X)))))&
(![X]:((strong(X)|old(X))=>(~old(X)<~>funny(X))))&
((?[X]:((brave(X)|~calm(X))))=>(?[X]:((~quiet(X)|happy(X)))))&
(![X]:((humble(X)|calm(X))<=>~creative(X)))&
(!... | ~funny(alice) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5247511804328289876788590
% SZS output start Proof for 5247511804328289876788590
2. ? [X0] : kind(X0) => (strong(lucy) <~> tall(lucy)) [input p1]
4. ! [X0] : ((old(X0) | strong(X0)) => (~old(X0) <~> funny(X0))) [input p3]
6. ! [X0] : ((calm(X0) | humble(X0)) <=> ~creative(X0)) [input p5]
... | 0 |
Everyone who is quiet is tall or patient.
If someone is kind then lucy is strong or not tall.
Everyone who is either strong or tall is both wise and not rich.
If someone is not kind or strong then alice is either not strong or strong and vice versa.
Everyone who is not funny or not calm is both creative and calm and vi... | John is not calm. | contradiction | (![X]:(quiet(X)=>(tall(X)|patient(X))))&
((?[X]:(kind(X)))=>((strong(lucy)|~tall(lucy))))&
(![X]:((strong(X)<~>tall(X))=>(wise(X)&~rich(X))))&
((?[X]:((~kind(X)|strong(X))))<=>((~strong(alice)<~>strong(alice))))&
(![X]:((~funny(X)|~calm(X))<=>(creative(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~generous(X)<~>fun... | ~calm(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 9160167153939083442100390
% SZS output start Proof for 9160167153939083442100390
5. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (calm(X0) & creative(X0))) [input p4]
21. ~calm(john) [input hypothesis]
38. ! [X0] : (((~calm(X0) | ~funny(X0)) | (~calm(X0) | ~creative(X0))) & ((calm(X0) & creativ... | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is rich. | contradiction | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | rich(mary) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1250627886282908080799905
% SZS output start Proof for 1250627886282908080799905
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
3. ! [X0] : (~calm(X0) => (funny(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (~calm(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((... | 0 |
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