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 either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Alice is generous. | entailment | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | generous(alice) | [
"p1",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5103497510090208429459814
% SZS output start Proof for 5103497510090208429459814
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9. ! [X0] : ((humble(X0) <~> ~brave(X0)) <=> (humble(X0) <~> calm... | 0 |
If alice is not tall then someone is funny and vice versa. If someone is strong or not wise then someone is either not tall or not calm and vice versa. If alice is both kind and calm then paul is either curious or kind and vice versa. If someone is either patient or not old then mary is not kind. If someone is not funn... | John is not generous. | contradiction | ((~tall(alice))<=>(?[X]:(funny(X))))&
((?[X]:((strong(X)|~wise(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((kind(alice)&calm(alice)))<=>((curious(paul)<~>kind(paul))))&
((?[X]:((patient(X)<~>~old(X))))=>(~kind(mary)))&
((?[X]:((~funny(X)|~wise(X))))=>(?[X]:((old(X)&~old(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(patient(X))))&... | ~generous(john) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7712458097101803512483419
% SZS output start Proof for 7712458097101803512483419
5. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p4]
12. ! [X0] : (patient(X0) => (~funny(X0) & old(X0))) [input p11]
14. ! [X0] : ((~generous(X0) | happy(X0)) => (patient(X0) & hu... | 0 |
If lucy is not patient then paul is both generous and not wise.
Everyone who is both wise and not rich is not tall or not curious and vice versa.
Everyone who is funny is both patient and not creative.
Everyone who is not quiet or not rich is both generous and curious and vice versa.
If paul is both not rich and old th... | Lucy is strong. | neutral | ((~patient(lucy))=>((generous(paul)&~wise(paul))))&
(![X]:((wise(X)&~rich(X))<=>(~tall(X)|~curious(X))))&
(![X]:(funny(X)=>(patient(X)&~creative(X))))&
(![X]:((~quiet(X)|~rich(X))<=>(generous(X)&curious(X))))&
(((~rich(paul)&old(paul)))=>(~brave(mary)))&
(![X]:(~brave(X)=>(patient(X)|~old(X))))&
(((~generous(susan)&ric... | strong(lucy) | [] | null | 0 |
Everyone who is not calm or not curious is not generous and vice versa.
If mary is both not humble and not wise then someone is both not curious and not kind.
Everyone who is not quiet is strong or not calm.
If paul is tall or not brave then someone is both strong and not curious and vice versa.
Everyone who is not pat... | Paul is not quiet. | entailment | (![X]:((~calm(X)|~curious(X))<=>~generous(X)))&
(((~humble(mary)&~wise(mary)))=>(?[X]:((~curious(X)&~kind(X)))))&
(![X]:(~quiet(X)=>(strong(X)|~calm(X))))&
(((tall(paul)|~brave(paul)))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:(~patient(X)=>(~patient(X)|old(X))))&
(((~generous(susan)<~>~quiet(susan)))=>(?[X]:((generou... | ~quiet(paul) | [
"p0",
"p3",
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7310821435719875252241074
% SZS output start Proof for 7310821435719875252241074
1. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> ~generous(X0)) [input p0]
4. (~brave(paul) | tall(paul)) <=> ? [X0] : (~curious(X0) & strong(X0)) [input p3]
7. ! [X0] : ((~old(X0) | wise(X0)) <=> (calm(X0) | ~str... | 0 |
Everyone who is either brave or not calm is either creative or humble. If someone is not brave then someone is creative and vice versa. Everyone who is either happy or not patient is patient or not wise and vice versa. Everyone who is not old is both not old and not rich. Everyone who is not happy or curious is both no... | Paul is generous. | contradiction | (![X]:((brave(X)<~>~calm(X))=>(creative(X)<~>humble(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(creative(X))))&
(![X]:((happy(X)<~>~patient(X))<=>(patient(X)|~wise(X))))&
(![X]:(~old(X)=>(~old(X)&~rich(X))))&
(![X]:((~happy(X)|curious(X))<=>(~curious(X)&generous(X))))&
(![X]:((generous(X)|~old(X))<=>(~curious(X)&~funny(X))))&
... | generous(paul) | [
"p2",
"p4",
"p5",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2960288153295994866672148
% SZS output start Proof for 2960288153295994866672148
3. ! [X0] : ((happy(X0) <~> ~patient(X0)) <=> (~wise(X0) | patient(X0))) [input p2]
5. ! [X0] : ((curious(X0) | ~happy(X0)) <=> (generous(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~old(X0) | generous(X0))... | 0 |
Everyone who is either patient or happy is both quiet and not tall.
If alice is both not calm and old then someone is quiet and vice versa.
Everyone who is generous or not humble is either humble or strong and vice versa.
Everyone who is not happy or not patient is not quiet and vice versa.
Everyone who is both not bra... | Alice is creative. | contradiction | (![X]:((patient(X)<~>happy(X))=>(quiet(X)&~tall(X))))&
(((~calm(alice)&old(alice)))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)|~humble(X))<=>(humble(X)<~>strong(X))))&
(![X]:((~happy(X)|~patient(X))<=>~quiet(X)))&
(![X]:((~brave(X)&~curious(X))<=>humble(X)))&
(![X]:((~calm(X)|~strong(X))<=>(happy(X)&~tall(X))))&
((?[X]:... | creative(alice) | [
"p0",
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5905337987717520507971025
% SZS output start Proof for 5905337987717520507971025
1. ! [X0] : ((patient(X0) <~> happy(X0)) => (~tall(X0) & quiet(X0))) [input p0]
4. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> ~quiet(X0)) [input p3]
13. ! [X0] : ((kind(X0) | ~quiet(X0)) <=> (happy(X0) <~> ~cr... | 0 |
Everyone who is either not humble or not calm is either not funny or happy and vice versa.
Everyone who is funny is either generous or tall and vice versa.
If someone is not generous or old then someone is not old.
If someone is happy or not kind then someone is either creative or old and vice versa.
If alice is curiou... | John is not humble. | neutral | (![X]:((~humble(X)<~>~calm(X))<=>(~funny(X)<~>happy(X))))&
(![X]:(funny(X)<=>(generous(X)<~>tall(X))))&
((?[X]:((~generous(X)|old(X))))=>(?[X]:(~old(X))))&
((?[X]:((happy(X)|~kind(X))))<=>(?[X]:((creative(X)<~>old(X)))))&
((curious(alice))=>(?[X]:(~kind(X))))&
(((wise(lucy)&~humble(lucy)))<=>(?[X]:((~old(X)<~>calm(X)))... | ~humble(john) | [] | null | 0 |
If someone is either rich or not curious then someone is creative and vice versa.
Everyone who is not creative or creative is both calm and strong.
Everyone who is both not strong and humble is not humble.
Everyone who is creative or strong is both not wise and creative and vice versa.
If mary is both kind and not humb... | Mary is calm. | entailment | ((?[X]:((rich(X)<~>~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~creative(X)|creative(X))=>(calm(X)&strong(X))))&
(![X]:((~strong(X)&humble(X))=>~humble(X)))&
(![X]:((creative(X)|strong(X))<=>(~wise(X)&creative(X))))&
(((kind(mary)&~humble(mary)))=>(~patient(paul)))&
(![X]:((curious(X)&~creative(X))=>(~patient(X)|br... | calm(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5473652203400934327718665
% SZS output start Proof for 5473652203400934327718665
2. ! [X0] : ((creative(X0) | ~creative(X0)) => (strong(X0) & calm(X0))) [input p1]
25. ~calm(mary) [input hypothesis]
30. ! [X0] : ((strong(X0) & calm(X0)) | (~creative(X0) & creative(X0))) [ennf transformati... | 0 |
If someone is happy or not old then fred is not generous or quiet and vice versa. If someone is both rich and patient then someone is tall and vice versa. Everyone who is both brave and not strong is rich or patient and vice versa. Everyone who is either generous or quiet is both humble and curious and vice versa. If s... | Fred is not funny. | contradiction | ((?[X]:((happy(X)|~old(X))))<=>((~generous(fred)|quiet(fred))))&
((?[X]:((rich(X)&patient(X))))<=>(?[X]:(tall(X))))&
(![X]:((brave(X)&~strong(X))<=>(rich(X)|patient(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(humble(X)&curious(X))))&
((?[X]:((~rich(X)|rich(X))))<=>(?[X]:((generous(X)|brave(X)))))&
(((~curious(alice)&~fun... | ~funny(fred) | [
"p2",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 574724145343673207403632
% SZS output start Proof for 574724145343673207403632
3. ! [X0] : ((~strong(X0) & brave(X0)) <=> (patient(X0) | rich(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~patient(X0)) => (~brave(X0) & ~calm(X0))) [input p7]
17. rich(fred) [input p16]
24. ~funny(fred) [inpu... | 0 |
Everyone who is not strong is both not humble and not generous and vice versa. Everyone who is not quiet or not strong is not brave and vice versa. Everyone who is either curious or strong is either not quiet or not brave. If mary is both not calm and not quiet then someone is either happy or not happy and vice versa. ... | Lucy is humble. | contradiction | (![X]:(~strong(X)<=>(~humble(X)&~generous(X))))&
(![X]:((~quiet(X)|~strong(X))<=>~brave(X)))&
(![X]:((curious(X)<~>strong(X))=>(~quiet(X)<~>~brave(X))))&
(((~calm(mary)&~quiet(mary)))<=>(?[X]:((happy(X)<~>~happy(X)))))&
(((~creative(alice)|~strong(alice)))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(((~kind(susan)|~tall(susa... | humble(lucy) | [
"p0",
"p1",
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5481904667701540166396080
% SZS output start Proof for 5481904667701540166396080
1. ! [X0] : (~strong(X0) <=> (~generous(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> strong(X0)) => (~quiet(X0) <~> ~brave(X0... | 0 |
Everyone who is both generous and calm is both not kind and not tall.
If someone is either not brave or humble then john is both not tall and patient.
If mary is not wise or quiet then someone is not wise and vice versa.
Everyone who is not happy is both not quiet and old.
Everyone who is both curious and strong is eit... | Mary is not generous. | entailment | (![X]:((generous(X)&calm(X))=>(~kind(X)&~tall(X))))&
((?[X]:((~brave(X)<~>humble(X))))=>((~tall(john)&patient(john))))&
(((~wise(mary)|quiet(mary)))<=>(?[X]:(~wise(X))))&
(![X]:(~happy(X)=>(~quiet(X)&old(X))))&
(![X]:((curious(X)&strong(X))<=>(patient(X)<~>quiet(X))))&
(![X]:(wise(X)<=>(wise(X)&~calm(X))))&
(![X]:((hap... | ~generous(mary) | [
"p1",
"p3",
"p6",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8115730091308525762224416
% SZS output start Proof for 8115730091308525762224416
2. ? [X0] : (~brave(X0) <~> humble(X0)) => (patient(john) & ~tall(john)) [input p1]
4. ! [X0] : (~happy(X0) => (old(X0) & ~quiet(X0))) [input p3]
7. ! [X0] : ((happy(X0) <~> humble(X0)) <=> (brave(X0) <~> gen... | 0 |
Everyone who is not strong is either quiet or not quiet and vice versa.
Everyone who is both curious and not brave is either not creative or not kind.
If fred is not strong or quiet then someone is both happy and not tall and vice versa.
If john is either curious or not tall then someone is either not calm or tall and ... | John is rich. | entailment | (![X]:(~strong(X)<=>(quiet(X)<~>~quiet(X))))&
(![X]:((curious(X)&~brave(X))=>(~creative(X)<~>~kind(X))))&
(((~strong(fred)|quiet(fred)))<=>(?[X]:((happy(X)&~tall(X)))))&
(((curious(john)<~>~tall(john)))<=>(?[X]:((~calm(X)<~>tall(X)))))&
(((tall(susan)|~tall(susan)))<=>((generous(lucy)|happy(lucy))))&
(![X]:((~strong(X)... | rich(john) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5451486397077854931249083
% SZS output start Proof for 5451486397077854931249083
1. ! [X0] : (~strong(X0) <=> (quiet(X0) <~> ~quiet(X0))) [input p0]
6. ! [X0] : ((~curious(X0) | ~strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p5]
22. ~rich(john) [input hypothesis]
34. ! [X0] : ((~strong(X... | 0 |
Everyone who is either old or calm is either curious or wise and vice versa. Everyone who is curious is both not creative and brave and vice versa. If paul is both not patient and not calm then fred is either not wise or rich. If alice is either not rich or rich then fred is both not curious and not strong and vice ver... | Paul is curious. | contradiction | (![X]:((old(X)<~>calm(X))<=>(curious(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~creative(X)&brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~p... | curious(paul) | [
"p1",
"p4",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 656134373844725626250752
% SZS output start Proof for 656134373844725626250752
2. ! [X0] : (curious(X0) <=> (brave(X0) & ~creative(X0))) [input p1]
5. ! [X0] : ((~happy(X0) <~> funny(X0)) <=> strong(X0)) [input p4]
8. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~tall(X0) <~> curious(X0))) [i... | 0 |
Everyone who is generous is tall or happy and vice versa.
If someone is curious or not rich then fred is both kind and not funny.
Everyone who is not tall is not calm.
Everyone who is not quiet or rich is brave or not strong.
Everyone who is rich or not happy is either strong or generous and vice versa.
If mary is stro... | Fred is not funny. | entailment | (![X]:(generous(X)<=>(tall(X)|happy(X))))&
((?[X]:((curious(X)|~rich(X))))=>((kind(fred)&~funny(fred))))&
(![X]:(~tall(X)=>~calm(X)))&
(![X]:((~quiet(X)|rich(X))=>(brave(X)|~strong(X))))&
(![X]:((rich(X)|~happy(X))<=>(strong(X)<~>generous(X))))&
(((strong(mary)|curious(mary)))<=>((creative(john)|~tall(john))))&
(![X]:(... | ~funny(fred) | [
"p1",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 282197456036700877577086
% SZS output start Proof for 282197456036700877577086
2. ? [X0] : (~rich(X0) | curious(X0)) => (~funny(fred) & kind(fred)) [input p1]
16. ! [X0] : ((~funny(X0) | funny(X0)) <=> (kind(X0) & strong(X0))) [input p15]
18. kind(paul) <~> ~curious(paul) [input p17]
23. ... | 0 |
If lucy is generous or old then paul is wise. Everyone who is either not old or strong is either strong or not brave and vice versa. Everyone who is not funny is both generous and not tall and vice versa. If someone is either rich or not kind then susan is kind or quiet and vice versa. If someone is both not rich and o... | John is not funny. | contradiction | (((generous(lucy)|old(lucy)))=>(wise(paul)))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~brave(X))))&
(![X]:(~funny(X)<=>(generous(X)&~tall(X))))&
((?[X]:((rich(X)<~>~kind(X))))<=>((kind(susan)|quiet(susan))))&
((?[X]:((~rich(X)&old(X))))<=>((~curious(mary)|~creative(mary))))&
(![X]:((~rich(X)<~>happy(X))<=>(brave(X)... | ~funny(john) | [
"p2",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4831612265447220972645019
% SZS output start Proof for 4831612265447220972645019
3. ! [X0] : (~funny(X0) <=> (~tall(X0) & generous(X0))) [input p2]
6. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (humble(X0) & brave(X0))) [input p5]
8. ! [X0] : ((~strong(X0) | strong(X0)) <=> (~curious(X0) & ~... | 0 |
Everyone who is either not creative or not humble is curious and vice versa.
If mary is curious or funny then someone is both kind and not strong.
Everyone who is not generous or quiet is either humble or not happy and vice versa.
Everyone who is both humble and not wise is not strong and vice versa.
Everyone who is no... | Susan is kind. | entailment | (![X]:((~creative(X)<~>~humble(X))<=>curious(X)))&
(((curious(mary)|funny(mary)))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((~generous(X)|quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((humble(X)&~wise(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(tall(X)<~>strong(X))))&
(![X]:(humble(X)<=>(old(X)&~creative(X))))&
(![X]:((~patie... | kind(susan) | [
"p0",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7899397579695955974567605
% SZS output start Proof for 7899397579695955974567605
1. ! [X0] : ((~creative(X0) <~> ~humble(X0)) <=> curious(X0)) [input p0]
6. ! [X0] : (humble(X0) <=> (~creative(X0) & old(X0))) [input p5]
13. ! [X0] : (~old(X0) <=> kind(X0)) [input p12]
16. ! [X0] : (~brave... | 0 |
Everyone who is both kind and not patient is either not curious or strong. If fred is both happy and not quiet then someone is both not old and old. If someone is both not wise and not calm then john is either not wise or curious. If someone is not quiet or humble then lucy is both tall and not patient and vice versa. ... | Lucy is not strong. | contradiction | (![X]:((kind(X)&~patient(X))=>(~curious(X)<~>strong(X))))&
(((happy(fred)&~quiet(fred)))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:((~wise(X)&~calm(X))))=>((~wise(john)<~>curious(john))))&
((?[X]:((~quiet(X)|humble(X))))<=>((tall(lucy)&~patient(lucy))))&
(![X]:((calm(X)|brave(X))=>strong(X)))&
(![X]:((~rich(X)&rich(X))<=>(~c... | ~strong(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5212026241662625437396413
% SZS output start Proof for 5212026241662625437396413
5. ! [X0] : ((brave(X0) | calm(X0)) => strong(X0)) [input p4]
12. ! [X0] : (brave(X0) <=> (~calm(X0) | rich(X0))) [input p11]
24. ~strong(lucy) [input hypothesis]
30. ! [X0] : (strong(X0) | (~brave(X0) & ~cal... | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa. Everyone who is both not happy and not creative is both brave and tall and vice versa. Everyone who is not creative or not brave is creative. Everyone who is either not happy or calm is not creative. If alice is both not happy and n... | Lucy is calm. | entailment | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
(![X]:((~happy(X)&~creative(X))<=>(brave(X)&tall(X))))&
(![X]:((~creative(X)|~brave(X))=>creative(X)))&
(![X]:((~happy(X)<~>calm(X))=>~creative(X)))&
(((~happy(alice)&~funny(alice)))<=>((~strong(lucy)|quiet(lucy))))&
(![X]:((~curious(X)|quiet(X))=>calm(X... | calm(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8749771832671048510221948
% SZS output start Proof for 8749771832671048510221948
6. ! [X0] : ((quiet(X0) | ~curious(X0)) => calm(X0)) [input p5]
16. ? [X0] : (brave(X0) | ~brave(X0)) => (~quiet(lucy) <~> curious(lucy)) [input p15]
25. ~calm(lucy) [input hypothesis]
33. ! [X0] : (calm(X0) ... | 0 |
Everyone who is either not happy or strong is either not happy or happy and vice versa.
Everyone who is either not kind or not creative is both not tall and funny and vice versa.
Everyone who is not humble or not calm is both old and calm.
Everyone who is either strong or not patient is not patient or not kind.
Everyon... | Mary is not kind. | contradiction | (![X]:((~happy(X)<~>strong(X))<=>(~happy(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(~tall(X)&funny(X))))&
(![X]:((~humble(X)|~calm(X))=>(old(X)&calm(X))))&
(![X]:((strong(X)<~>~patient(X))=>(~patient(X)|~kind(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(~patient(X)&~wise(X))))&
((old(mary))=>(?[X]:((~rich(X)<~>~b... | ~kind(mary) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7310674765398140013726416
% SZS output start Proof for 7310674765398140013726416
3. ! [X0] : ((~calm(X0) | ~humble(X0)) => (calm(X0) & old(X0))) [input p2]
12. ? [X0] : ~quiet(X0) => (curious(john) & ~calm(john)) [input p11]
15. ! [X0] : (~kind(X0) <=> ~quiet(X0)) [input p14]
23. ~kind(ma... | 0 |
If mary is not funny or not generous then susan is both curious and not humble. Everyone who is old or not wise is not brave and vice versa. If lucy is not brave or not old then fred is not calm and vice versa. Everyone who is patient or not happy is tall. Everyone who is patient or not happy is generous or not wise an... | Susan is not rich. | entailment | (((~funny(mary)|~generous(mary)))=>((curious(susan)&~humble(susan))))&
(![X]:((old(X)|~wise(X))<=>~brave(X)))&
(((~brave(lucy)|~old(lucy)))<=>(~calm(fred)))&
(![X]:((patient(X)|~happy(X))=>tall(X)))&
(![X]:((patient(X)|~happy(X))<=>(generous(X)|~wise(X))))&
(((curious(paul)|~curious(paul)))<=>(?[X]:((~patient(X)<~>stro... | ~rich(susan) | [
"p0",
"p9",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1671765470465242856637375
% SZS output start Proof for 1671765470465242856637375
1. (~generous(mary) | ~funny(mary)) => (~humble(susan) & curious(susan)) [input p0]
10. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (generous(X0) & funny(X0))) [input p9]
13. ! [X0] : ((~funny(X0) | curious(X0))... | 0 |
If lucy is not rich then someone is strong and vice versa. Everyone who is both not brave and tall is curious or not tall. If someone is not brave then someone is either tall or not strong. Everyone who is either happy or not funny is kind or not old and vice versa. Everyone who is both not tall and rich is not calm or... | Alice is not quiet. | entailment | ((~rich(lucy))<=>(?[X]:(strong(X))))&
(![X]:((~brave(X)&tall(X))=>(curious(X)|~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((tall(X)<~>~strong(X)))))&
(![X]:((happy(X)<~>~funny(X))<=>(kind(X)|~old(X))))&
(![X]:((~tall(X)&rich(X))<=>(~calm(X)|happy(X))))&
(![X]:(~generous(X)<=>(creative(X)|~strong(X))))&
(![X]:(happy(X)<=>(~... | ~quiet(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 700616545132344783503093
% SZS output start Proof for 700616545132344783503093
23. ~quiet(alice) & wise(alice) [input p22]
24. quiet(alice) [input hypothesis]
137. ~quiet(alice) [cnf transformation 23]
138. quiet(alice) [cnf transformation 24]
277. $false [subsumption resolution 138,137]
... | 0 |
Everyone who is either patient or creative is not patient or not calm. Everyone who is either tall or not funny is calm or creative and vice versa. If john is not curious or old then mary is both not brave and not rich and vice versa. Everyone who is generous is happy. If fred is not strong or not humble then mary is e... | John is old. | contradiction | (![X]:((patient(X)<~>creative(X))=>(~patient(X)|~calm(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(calm(X)|creative(X))))&
(((~curious(john)|old(john)))<=>((~brave(mary)&~rich(mary))))&
(![X]:(generous(X)=>happy(X)))&
(((~strong(fred)|~humble(fred)))<=>((~old(mary)<~>~wise(mary))))&
((?[X]:((rich(X)&curious(X))))=>((old(susa... | old(john) | [
"p3",
"p6",
"p8",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3706123266017214585252087
% SZS output start Proof for 3706123266017214585252087
4. ! [X0] : (generous(X0) => happy(X0)) [input p3]
7. ! [X0] : ((~rich(X0) <~> ~old(X0)) <=> ~happy(X0)) [input p6]
9. (~humble(susan) | old(susan)) <=> (~rich(john) & generous(john)) [input p8]
15. ! [X0] : ... | 0 |
Everyone who is not quiet or not calm is not quiet.
If someone is both not kind and not funny then lucy is not strong.
If someone is brave then john is both not old and strong and vice versa.
If john is not wise then lucy is calm or not kind and vice versa.
Everyone who is either generous or not brave is not wise or no... | John is not strong. | contradiction | (![X]:((~quiet(X)|~calm(X))=>~quiet(X)))&
((?[X]:((~kind(X)&~funny(X))))=>(~strong(lucy)))&
((?[X]:(brave(X)))<=>((~old(john)&strong(john))))&
((~wise(john))<=>((calm(lucy)|~kind(lucy))))&
(![X]:((generous(X)<~>~brave(X))<=>(~wise(X)|~brave(X))))&
((?[X]:((~rich(X)<~>~patient(X))))=>((wise(lucy)|quiet(lucy))))&
(((~gen... | ~strong(john) | [
"p2",
"p4",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4620772699949054813117395
% SZS output start Proof for 4620772699949054813117395
3. ? [X0] : brave(X0) <=> (strong(john) & ~old(john)) [input p2]
5. ! [X0] : ((generous(X0) <~> ~brave(X0)) <=> (~brave(X0) | ~wise(X0))) [input p4]
12. ! [X0] : ((~generous(X0) | calm(X0)) <=> (patient(X0) &... | 0 |
If mary is either generous or patient then susan is both not tall and quiet and vice versa.
Everyone who is both not generous and calm is patient or not strong.
Everyone who is both brave and humble is both rich and tall.
If someone is not kind or generous then susan is both curious and not funny and vice versa.
Everyo... | Susan is brave. | entailment | (((generous(mary)<~>patient(mary)))<=>((~tall(susan)&quiet(susan))))&
(![X]:((~generous(X)&calm(X))=>(patient(X)|~strong(X))))&
(![X]:((brave(X)&humble(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)|generous(X))))<=>((curious(susan)&~funny(susan))))&
(![X]:(generous(X)<=>(strong(X)|kind(X))))&
(![X]:((~kind(X)<~>~happy(X)... | brave(susan) | [
"p3",
"p4",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5129552790362903824237456
% SZS output start Proof for 5129552790362903824237456
4. ? [X0] : (generous(X0) | ~kind(X0)) <=> (~funny(susan) & curious(susan)) [input p3]
5. ! [X0] : (generous(X0) <=> (kind(X0) | strong(X0))) [input p4]
7. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> (patient(X0... | 0 |
Everyone who is old or wise is both not happy and calm and vice versa.
If lucy is both quiet and not tall then lucy is not rich.
Everyone who is both not old and patient is strong or curious and vice versa.
If someone is tall then mary is not creative and vice versa.
If someone is not quiet then someone is either not q... | Lucy is old. | contradiction | (![X]:((old(X)|wise(X))<=>(~happy(X)&calm(X))))&
(((quiet(lucy)&~tall(lucy)))=>(~rich(lucy)))&
(![X]:((~old(X)&patient(X))<=>(strong(X)|curious(X))))&
((?[X]:(tall(X)))<=>(~creative(mary)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>(patient(X)<~>~rich(X))))&
(![X]:((quiet(... | old(lucy) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 574712219426052755543580
% SZS output start Proof for 574712219426052755543580
1. ! [X0] : ((wise(X0) | old(X0)) <=> (calm(X0) & ~happy(X0))) [input p0]
3. ! [X0] : ((patient(X0) & ~old(X0)) <=> (curious(X0) | strong(X0))) [input p2]
10. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> curious(X0))... | 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... | Lucy is not old. | 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... | ~old(lucy) | [] | null | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is either generous or not curious is either happy or not kind and vice versa.
If someone is not tall or not wise then paul is either calm or happy.
Everyone who is not quiet or humble is both not generous and not patient and vice versa.
If someon... | Fred is calm. | contradiction | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(happy(X)<~>~kind(X))))&
((?[X]:((~tall(X)|~wise(X))))=>((calm(paul)<~>happy(paul))))&
(![X]:((~quiet(X)|humble(X))<=>(~generous(X)&~patient(X))))&
((?[X]:((funny(X)|~creative(X))))<=>((funny(lucy)<~>~strong(lucy))))&
(![X]:((~old(X)|~humble(X... | calm(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6131241688569416948105510
% SZS output start Proof for 6131241688569416948105510
12. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (quiet(X0) <~> calm(X0))) [input p11]
25. calm(fred) [input hypothesis]
56. ! [X0] : (((~calm(X0) | quiet(X0)) | ((quiet(X0) | ~calm(X0)) & (calm(X0) | ~quiet(X0)))) ... | 0 |
If someone is not old then someone is either brave or patient.
If susan is not strong then paul is not happy or happy.
If paul is not funny or not calm then paul is not quiet.
If someone is both strong and tall then john is not creative.
If susan is not generous or not old then someone is either not funny or generous.
... | Susan is strong. | contradiction | ((?[X]:(~old(X)))=>(?[X]:((brave(X)<~>patient(X)))))&
((~strong(susan))=>((~happy(paul)|happy(paul))))&
(((~funny(paul)|~calm(paul)))=>(~quiet(paul)))&
((?[X]:((strong(X)&tall(X))))=>(~creative(john)))&
(((~generous(susan)|~old(susan)))=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((tall(X)&patient(X))<=>(~curious(X)&wi... | strong(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2828868577227485765749566
% SZS output start Proof for 2828868577227485765749566
9. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (~quiet(X0) | strong(X0))) [input p8]
25. strong(susan) [input hypothesis]
55. ! [X0] : (((brave(X0) & ~brave(X0)) | (quiet(X0) & ~strong(X0))) & ((~quiet(X0) | stron... | 0 |
Everyone who is kind or curious is not kind and vice versa.
Everyone who is not brave or quiet is kind or not calm and vice versa.
Everyone who is either generous or creative is wise.
If john is either rich or not curious then someone is both brave and happy.
If mary is both not generous and wise then someone is not ki... | Susan is patient. | contradiction | (![X]:((kind(X)|curious(X))<=>~kind(X)))&
(![X]:((~brave(X)|quiet(X))<=>(kind(X)|~calm(X))))&
(![X]:((generous(X)<~>creative(X))=>wise(X)))&
(((rich(john)<~>~curious(john)))=>(?[X]:((brave(X)&happy(X)))))&
(((~generous(mary)&wise(mary)))<=>(?[X]:((~kind(X)|~old(X)))))&
(![X]:((~wise(X)|strong(X))<=>(funny(X)&wise(X))))... | patient(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6978901675997682201661521
% SZS output start Proof for 6978901675997682201661521
18. ~patient(susan) [input p17]
23. patient(susan) [input hypothesis]
124. ~patient(susan) [cnf transformation 18]
132. patient(susan) [cnf transformation 23]
229. $false [subsumption resolution 132,124]
% SZ... | 0 |
Everyone who is either patient or humble is quiet or humble and vice versa. Everyone who is calm or not quiet is calm. If john is not calm then fred is not kind. Everyone who is either happy or calm is either not generous or generous and vice versa. Everyone who is not humble or not creative is not humble and vice vers... | Paul is not kind. | neutral | (![X]:((patient(X)<~>humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((calm(X)|~quiet(X))=>calm(X)))&
((~calm(john))=>(~kind(fred)))&
(![X]:((happy(X)<~>calm(X))<=>(~generous(X)<~>generous(X))))&
(![X]:((~humble(X)|~creative(X))<=>~humble(X)))&
(![X]:((~patient(X)&creative(X))=>(~creative(X)|calm(X))))&
((?[X]:((~funny(X)<~... | ~kind(paul) | [] | null | 0 |
If someone is both old and tall then paul is both not strong and not humble.
If someone is either not happy or patient then fred is calm or strong.
Everyone who is both not kind and not tall is not funny.
If someone is tall or not rich then mary is both not creative and curious and vice versa.
Everyone who is funny or ... | Lucy is not strong. | contradiction | ((?[X]:((old(X)&tall(X))))=>((~strong(paul)&~humble(paul))))&
((?[X]:((~happy(X)<~>patient(X))))=>((calm(fred)|strong(fred))))&
(![X]:((~kind(X)&~tall(X))=>~funny(X)))&
((?[X]:((tall(X)|~rich(X))))<=>((~creative(mary)&curious(mary))))&
(![X]:((funny(X)|~kind(X))=>~kind(X)))&
((tall(paul))=>(?[X]:(~generous(X))))&
(![X]... | ~strong(lucy) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4040087589368060791177839
% SZS output start Proof for 4040087589368060791177839
8. ! [X0] : ((~tall(X0) | ~strong(X0)) => (patient(X0) & ~old(X0))) [input p7]
20. ~rich(lucy) & old(lucy) [input p19]
25. ~strong(lucy) [input hypothesis]
35. ! [X0] : ((patient(X0) & ~old(X0)) | (tall(X0) &... | 0 |
Everyone who is both not happy and not kind is both not quiet and calm. If someone is not creative then paul is both not wise and curious and vice versa. Everyone who is tall or not humble is not strong. If someone is not patient or not humble then someone is either not quiet or not patient. Everyone who is either not ... | Susan is not kind. | neutral | (![X]:((~happy(X)&~kind(X))=>(~quiet(X)&calm(X))))&
((?[X]:(~creative(X)))<=>((~wise(paul)&curious(paul))))&
(![X]:((tall(X)|~humble(X))=>~strong(X)))&
((?[X]:((~patient(X)|~humble(X))))=>(?[X]:((~quiet(X)<~>~patient(X)))))&
(![X]:((~strong(X)<~>happy(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~tall(X)&old(X))=>(~quiet(X)|... | ~kind(susan) | [] | null | 0 |
If someone is not quiet or not old then john is kind and vice versa.
If mary is happy then someone is not creative or humble and vice versa.
Everyone who is either not generous or patient is both not wise and not humble and vice versa.
If paul is both generous and not curious then fred is not patient or funny.
Everyone... | Susan is humble. | contradiction | ((?[X]:((~quiet(X)|~old(X))))<=>(kind(john)))&
((happy(mary))<=>(?[X]:((~creative(X)|humble(X)))))&
(![X]:((~generous(X)<~>patient(X))<=>(~wise(X)&~humble(X))))&
(((generous(paul)&~curious(paul)))=>((~patient(fred)|funny(fred))))&
(![X]:((~calm(X)<~>rich(X))=>(funny(X)<~>humble(X))))&
(![X]:(happy(X)=>(~humble(X)&~quie... | humble(susan) | [
"p1",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2997732029620685652298097
% SZS output start Proof for 2997732029620685652298097
2. happy(mary) <=> ? [X0] : (humble(X0) | ~creative(X0)) [input p1]
6. ! [X0] : (happy(X0) => (~quiet(X0) & ~humble(X0))) [input p5]
23. brave(mary) & quiet(mary) [input p22]
25. humble(susan) [input hypothes... | 0 |
Everyone who is either not rich or not curious is either not funny or wise. If susan is either strong or not wise then someone is either happy or not quiet and vice versa. If mary is not brave then someone is both strong and humble. Everyone who is not tall is both tall and not rich and vice versa. If mary is brave or ... | John is patient. | contradiction | (![X]:((~rich(X)<~>~curious(X))=>(~funny(X)<~>wise(X))))&
(((strong(susan)<~>~wise(susan)))<=>(?[X]:((happy(X)<~>~quiet(X)))))&
((~brave(mary))=>(?[X]:((strong(X)&humble(X)))))&
(![X]:(~tall(X)<=>(tall(X)&~rich(X))))&
(((brave(mary)|kind(mary)))<=>((~rich(fred)|generous(fred))))&
(![X]:((~tall(X)|wise(X))<=>~patient(X)... | patient(john) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1623959766111925861273419
% SZS output start Proof for 1623959766111925861273419
1. ! [X0] : ((~rich(X0) <~> ~curious(X0)) => (~funny(X0) <~> wise(X0))) [input p0]
4. ! [X0] : (~tall(X0) <=> (~rich(X0) & tall(X0))) [input p3]
6. ! [X0] : ((wise(X0) | ~tall(X0)) <=> ~patient(X0)) [input p5... | 0 |
Everyone who is both wise and not creative is humble or generous and vice versa.
If someone is both not humble and not curious then paul is both not quiet and not brave.
Everyone who is either not wise or not old is strong and vice versa.
Everyone who is not curious or not old is wise and vice versa.
Everyone who is qu... | Alice is humble. | contradiction | (![X]:((wise(X)&~creative(X))<=>(humble(X)|generous(X))))&
((?[X]:((~humble(X)&~curious(X))))=>((~quiet(paul)&~brave(paul))))&
(![X]:((~wise(X)<~>~old(X))<=>strong(X)))&
(![X]:((~curious(X)|~old(X))<=>wise(X)))&
(![X]:(quiet(X)<=>(strong(X)|~humble(X))))&
(((~brave(susan)<~>~tall(susan)))=>(~creative(mary)))&
((?[X]:((... | humble(alice) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7928522905067310057183719
% SZS output start Proof for 7928522905067310057183719
7. ? [X0] : (~funny(X0) | ~happy(X0)) <=> ~humble(alice) [input p6]
17. ? [X0] : (~creative(X0) & ~funny(X0)) [input p16]
23. humble(alice) [input hypothesis]
39. (? [X0] : (~funny(X0) | ~happy(X0)) | humble(... | 0 |
Everyone who is patient is either generous or quiet and vice versa.
If someone is either not creative or not quiet then john is not generous or strong and vice versa.
Everyone who is not wise or creative is not generous or old.
Everyone who is not brave or generous is curious or not generous.
Everyone who is either fun... | Susan is not brave. | neutral | (![X]:(patient(X)<=>(generous(X)<~>quiet(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>((~generous(john)|strong(john))))&
(![X]:((~wise(X)|creative(X))=>(~generous(X)|old(X))))&
(![X]:((~brave(X)|generous(X))=>(curious(X)|~generous(X))))&
(![X]:((funny(X)<~>quiet(X))=>(~kind(X)|rich(X))))&
(![X]:((tall(X)|~kind(X))=>~h... | ~brave(susan) | [] | null | 0 |
If someone is not kind or humble then someone is both not wise and not quiet and vice versa.
Everyone who is quiet is not wise and vice versa.
Everyone who is quiet or creative is not strong and vice versa.
If someone is not funny then someone is either not patient or calm.
If someone is either not curious or patient t... | Fred is not generous. | entailment | ((?[X]:((~kind(X)|humble(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:(quiet(X)<=>~wise(X)))&
(![X]:((quiet(X)|creative(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~patient(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>patient(X))))=>(?[X]:(~quiet(X))))&
((~funny(lucy))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|rich(X))... | ~generous(fred) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7283484610740443471305535
% SZS output start Proof for 7283484610740443471305535
1. ? [X0] : (humble(X0) | ~kind(X0)) <=> ? [X0] : (~quiet(X0) & ~wise(X0)) [input p0]
2. ! [X0] : (quiet(X0) <=> ~wise(X0)) [input p1]
3. ! [X0] : ((creative(X0) | quiet(X0)) <=> ~strong(X0)) [input p2]
9. ? ... | 0 |
Everyone who is generous or funny is rich or happy.
Everyone who is patient is curious or happy and vice versa.
If alice is tall or not humble then someone is wise or old.
If alice is not calm then paul is either not happy or tall.
Everyone who is both not old and not tall is not patient and vice versa.
If someone is n... | John is not quiet. | contradiction | (![X]:((generous(X)|funny(X))=>(rich(X)|happy(X))))&
(![X]:(patient(X)<=>(curious(X)|happy(X))))&
(((tall(alice)|~humble(alice)))=>(?[X]:((wise(X)|old(X)))))&
((~calm(alice))=>((~happy(paul)<~>tall(paul))))&
(![X]:((~old(X)&~tall(X))<=>~patient(X)))&
((?[X]:(~wise(X)))<=>(?[X]:((humble(X)|creative(X)))))&
(((~strong(lu... | ~quiet(john) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5183887033161719362522790
% SZS output start Proof for 5183887033161719362522790
5. ! [X0] : ((~tall(X0) & ~old(X0)) <=> ~patient(X0)) [input p4]
8. ! [X0] : ((quiet(X0) & curious(X0)) <=> patient(X0)) [input p7]
10. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> tall(X0)) [input p9]
24. ~quiet(jo... | 0 |
If someone is either not old or strong then someone is humble.
Everyone who is funny or not calm is both old and patient and vice versa.
Everyone who is kind is both strong and patient and vice versa.
Everyone who is either strong or not rich is not old and vice versa.
If someone is kind then someone is both not happy ... | Alice is not funny. | entailment | ((?[X]:((~old(X)<~>strong(X))))=>(?[X]:(humble(X))))&
(![X]:((funny(X)|~calm(X))<=>(old(X)&patient(X))))&
(![X]:(kind(X)<=>(strong(X)&patient(X))))&
(![X]:((strong(X)<~>~rich(X))<=>~old(X)))&
((?[X]:(kind(X)))=>(?[X]:((~happy(X)&tall(X)))))&
((?[X]:((~strong(X)|~rich(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
((?[X]:(~b... | ~funny(alice) | [
"p1",
"p2",
"p3",
"p8",
"p13",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5334034633537864421778287
% SZS output start Proof for 5334034633537864421778287
2. ! [X0] : ((~calm(X0) | funny(X0)) <=> (patient(X0) & old(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> (patient(X0) & strong(X0))) [input p2]
4. ! [X0] : ((strong(X0) <~> ~rich(X0)) <=> ~old(X0)) [input p3]
9... | 0 |
If paul is either not old or creative then someone is not curious and vice versa.
Everyone who is not brave is both creative and brave.
Everyone who is tall is not brave.
Everyone who is either not strong or rich is both generous and quiet.
If paul is old then susan is both funny and curious.
Everyone who is brave or f... | Susan is strong. | entailment | (((~old(paul)<~>creative(paul)))<=>(?[X]:(~curious(X))))&
(![X]:(~brave(X)=>(creative(X)&brave(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((~strong(X)<~>rich(X))=>(generous(X)&quiet(X))))&
((old(paul))=>((funny(susan)&curious(susan))))&
(![X]:((brave(X)|funny(X))<=>(~old(X)<~>~brave(X))))&
((?[X]:((~curious(X)|quiet(X))... | strong(susan) | [
"p1",
"p3",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6834163383729919487330373
% SZS output start Proof for 6834163383729919487330373
2. ! [X0] : (~brave(X0) => (brave(X0) & creative(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> rich(X0)) => (quiet(X0) & generous(X0))) [input p3]
13. ! [X0] : ((~creative(X0) | quiet(X0)) => strong(X0)) [in... | 0 |
If someone is quiet or curious then alice is quiet and vice versa.
If paul is tall or not funny then someone is old and vice versa.
Everyone who is both creative and calm is both tall and not brave and vice versa.
Everyone who is not creative is either not patient or calm and vice versa.
If someone is both rich and not... | Fred is funny. | neutral | ((?[X]:((quiet(X)|curious(X))))<=>(quiet(alice)))&
(((tall(paul)|~funny(paul)))<=>(?[X]:(old(X))))&
(![X]:((creative(X)&calm(X))<=>(tall(X)&~brave(X))))&
(![X]:(~creative(X)<=>(~patient(X)<~>calm(X))))&
((?[X]:((rich(X)&~calm(X))))<=>(rich(mary)))&
(((~brave(mary)&~wise(mary)))<=>((patient(fred)|~strong(fred))))&
(![X]... | funny(fred) | [] | null | 0 |
If john is strong then alice is both calm and curious. If fred is humble then someone is both rich and funny and vice versa. Everyone who is patient or not tall is wise and vice versa. If someone is not rich then someone is not wise. Everyone who is not brave is not creative or not rich and vice versa. Everyone who is ... | Fred is generous. | contradiction | ((strong(john))=>((calm(alice)&curious(alice))))&
((humble(fred))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((patient(X)|~tall(X))<=>wise(X)))&
((?[X]:(~rich(X)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~rich(X))))&
(![X]:(~funny(X)=>(funny(X)&patient(X))))&
((?[X]:((~humble(X)&creative(X))))=>((~tall(mary)<~... | generous(fred) | [
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 801398778321876293018635
% SZS output start Proof for 801398778321876293018635
5. ! [X0] : (~brave(X0) <=> (~rich(X0) | ~creative(X0))) [input p4]
8. ! [X0] : ((~creative(X0) & patient(X0)) <=> (~quiet(X0) <~> quiet(X0))) [input p7]
9. ! [X0] : ((~funny(X0) | generous(X0)) => (~brave(X0) ... | 0 |
If someone is not kind or not calm then lucy is both funny and generous. Everyone who is either creative or not curious is either not brave or tall. If fred is either not wise or not curious then someone is both not creative and patient. Everyone who is patient or not tall is either wise or patient and vice versa. Ever... | John is not wise. | entailment | ((?[X]:((~kind(X)|~calm(X))))=>((funny(lucy)&generous(lucy))))&
(![X]:((creative(X)<~>~curious(X))=>(~brave(X)<~>tall(X))))&
(((~wise(fred)<~>~curious(fred)))=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:((patient(X)|~tall(X))<=>(wise(X)<~>patient(X))))&
(![X]:((~tall(X)|quiet(X))=>rich(X)))&
(![X]:((creative(X)|strong(... | ~wise(john) | [
"p3",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9154106748097180503666739
% SZS output start Proof for 9154106748097180503666739
4. ! [X0] : ((~tall(X0) | patient(X0)) <=> (wise(X0) <~> patient(X0))) [input p3]
9. ! [X0] : (~generous(X0) <=> ~patient(X0)) [input p8]
19. generous(john) [input p18]
25. wise(john) [input hypothesis]
41. !... | 0 |
Everyone who is kind or happy is tall and vice versa. If john is both curious and not generous then someone is not curious and vice versa. If someone is not tall then someone is both brave and not humble and vice versa. If fred is not kind or kind then alice is not happy or funny and vice versa. Everyone who is not wis... | Paul is curious. | neutral | (![X]:((kind(X)|happy(X))<=>tall(X)))&
(((curious(john)&~generous(john)))<=>(?[X]:(~curious(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((brave(X)&~humble(X)))))&
(((~kind(fred)|kind(fred)))<=>((~happy(alice)|funny(alice))))&
(![X]:(~wise(X)<=>(~generous(X)&humble(X))))&
(![X]:(~funny(X)<=>(~kind(X)&~old(X))))&
(![X]:((~creative... | curious(paul) | [] | null | 0 |
If mary is brave then someone is generous or not generous and vice versa.
If lucy is both not kind and not humble then someone is either wise or old and vice versa.
Everyone who is both old and funny is both calm and not humble and vice versa.
If susan is both not happy and not tall then susan is both calm and not quie... | Mary is not wise. | entailment | ((brave(mary))<=>(?[X]:((generous(X)|~generous(X)))))&
(((~kind(lucy)&~humble(lucy)))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((old(X)&funny(X))<=>(calm(X)&~humble(X))))&
(((~happy(susan)&~tall(susan)))=>((calm(susan)&~quiet(susan))))&
(![X]:(curious(X)<=>(funny(X)|~creative(X))))&
(![X]:((funny(X)<~>kind(X))<=>patient(X... | ~wise(mary) | [
"p1",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4600917040646215960152484
% SZS output start Proof for 4600917040646215960152484
2. (~humble(lucy) & ~kind(lucy)) <=> ? [X0] : (wise(X0) <~> old(X0)) [input p1]
8. ! [X0] : (old(X0) => (~old(X0) & ~generous(X0))) [input p7]
15. ! [X0] : ((calm(X0) | quiet(X0)) <=> old(X0)) [input p14]
16.... | 0 |
If someone is not rich or not curious then someone is both curious and kind. Everyone who is quiet or not happy is rich and vice versa. If john is both not funny and not creative then someone is not curious or generous. If someone is quiet or not rich then someone is both not curious and not patient and vice versa. Eve... | Alice is not happy. | neutral | ((?[X]:((~rich(X)|~curious(X))))=>(?[X]:((curious(X)&kind(X)))))&
(![X]:((quiet(X)|~happy(X))<=>rich(X)))&
(((~funny(john)&~creative(john)))=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(![X]:((~patient(X)<~>~old(X))<=>(wise(X)|~happy(X))))&
(![X]:((calm(X)|... | ~happy(alice) | [] | null | 0 |
Everyone who is either not kind or strong is not strong or not old and vice versa. If someone is tall or not kind then someone is strong or rich. If john is both not humble and brave then alice is either not tall or kind. If someone is both not happy and not strong then john is both not curious and kind. Everyone who i... | John is kind. | neutral | (![X]:((~kind(X)<~>strong(X))<=>(~strong(X)|~old(X))))&
((?[X]:((tall(X)|~kind(X))))=>(?[X]:((strong(X)|rich(X)))))&
(((~humble(john)&brave(john)))=>((~tall(alice)<~>kind(alice))))&
((?[X]:((~happy(X)&~strong(X))))=>((~curious(john)&kind(john))))&
(![X]:((~kind(X)<~>curious(X))=>~wise(X)))&
(![X]:(~funny(X)=>(happy(X)<... | kind(john) | [] | null | 0 |
Everyone who is creative or humble is not humble.
Everyone who is either not tall or not old is either not old or happy.
Everyone who is not kind is not quiet or wise.
If john is either not quiet or not creative then lucy is quiet and vice versa.
If fred is either not patient or not curious then someone is not strong o... | Fred is not strong. | contradiction | (![X]:((creative(X)|humble(X))=>~humble(X)))&
(![X]:((~tall(X)<~>~old(X))=>(~old(X)<~>happy(X))))&
(![X]:(~kind(X)=>(~quiet(X)|wise(X))))&
(((~quiet(john)<~>~creative(john)))<=>(quiet(lucy)))&
(((~patient(fred)<~>~curious(fred)))<=>(?[X]:((~strong(X)|~calm(X)))))&
(![X]:(creative(X)<=>(~curious(X)&~funny(X))))&
(![X]:(... | ~strong(fred) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 863639182633258625415705
% SZS output start Proof for 863639182633258625415705
1. ! [X0] : ((humble(X0) | creative(X0)) => ~humble(X0)) [input p0]
7. ! [X0] : (~strong(X0) <=> humble(X0)) [input p6]
25. ~strong(fred) [input hypothesis]
26. ! [X0] : (~humble(X0) | (~humble(X0) & ~creative(... | 0 |
Everyone who is generous or not kind is not kind.
Everyone who is either strong or old is funny and vice versa.
Everyone who is both not brave and curious is not old or creative and vice versa.
If someone is not old then someone is not curious.
If someone is funny then paul is not happy or curious and vice versa.
If so... | Susan is tall. | entailment | (![X]:((generous(X)|~kind(X))=>~kind(X)))&
(![X]:((strong(X)<~>old(X))<=>funny(X)))&
(![X]:((~brave(X)&curious(X))<=>(~old(X)|creative(X))))&
((?[X]:(~old(X)))=>(?[X]:(~curious(X))))&
((?[X]:(funny(X)))<=>((~happy(paul)|curious(paul))))&
((?[X]:((~strong(X)&~kind(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((ric... | tall(susan) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5316043582461254317130770
% SZS output start Proof for 5316043582461254317130770
12. ! [X0] : ((~brave(X0) | humble(X0)) => brave(X0)) [input p11]
16. ! [X0] : (brave(X0) => tall(X0)) [input p15]
25. ~tall(susan) [input hypothesis]
37. ! [X0] : (brave(X0) | (brave(X0) & ~humble(X0))) [enn... | 0 |
If someone is not old or creative then someone is either not rich or not humble. Everyone who is wise or humble is calm. Everyone who is not kind or not rich is either calm or not old. Everyone who is rich or happy is either not brave or not rich and vice versa. Everyone who is wise or not rich is both not old and not ... | Mary is not humble. | entailment | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((wise(X)|humble(X))=>calm(X)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>~old(X))))&
(![X]:((rich(X)|happy(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:((wise(X)|~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:(~old(X)))=>((calm(paul)|tall(paul))))&
(![X]:((pat... | ~humble(mary) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 265956367131276017166790
% SZS output start Proof for 265956367131276017166790
2. ! [X0] : ((humble(X0) | wise(X0)) => calm(X0)) [input p1]
5. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~rich(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((old(X0) <~> patient(X0)) => (~happy(X0) & ~rich(X0))) [input... | 0 |
If someone is humble or kind then someone is both quiet and not old and vice versa. If someone is either not brave or not quiet then someone is not generous. Everyone who is both not funny and not brave is calm and vice versa. Everyone who is brave or old is both not rich and curious and vice versa. If mary is wise or ... | Susan is wise. | entailment | ((?[X]:((humble(X)|kind(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(?[X]:... | wise(susan) | [
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5325463563022163235330668
% SZS output start Proof for 5325463563022163235330668
9. ! [X0] : ((~tall(X0) & old(X0)) <=> (~quiet(X0) | ~humble(X0))) [input p8]
11. (wise(susan) & ~rich(susan)) <=> ? [X0] : (quiet(X0) & tall(X0)) [input p10]
16. ! [X0] : ((calm(X0) | kind(X0)) => (tall(X0) ... | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Alice is kind. | neutral | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | kind(alice) | [] | null | 0 |
Everyone who is either calm or not kind is either not rich or old. If fred is either strong or funny then someone is kind or strong and vice versa. If someone is either not brave or strong then lucy is both happy and calm and vice versa. Everyone who is either not funny or not humble is either not kind or not happy and... | Susan is not strong. | contradiction | (![X]:((calm(X)<~>~kind(X))=>(~rich(X)<~>old(X))))&
(((strong(fred)<~>funny(fred)))<=>(?[X]:((kind(X)|strong(X)))))&
((?[X]:((~brave(X)<~>strong(X))))<=>((happy(lucy)&calm(lucy))))&
(![X]:((~funny(X)<~>~humble(X))<=>(~kind(X)<~>~happy(X))))&
((?[X]:((strong(X)&~kind(X))))<=>(strong(paul)))&
((~creative(mary))<=>(?[X]:(... | ~strong(susan) | [
"p2",
"p8",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 764739239859889166439299
% SZS output start Proof for 764739239859889166439299
3. ? [X0] : (~brave(X0) <~> strong(X0)) <=> (calm(lucy) & happy(lucy)) [input p2]
9. ! [X0] : ((old(X0) <~> ~old(X0)) => ~calm(X0)) [input p8]
10. (calm(susan) | ~strong(susan)) => (~strong(fred) & humble(fred)... | 0 |
Everyone who is creative is not old. Everyone who is happy is rich. Everyone who is happy is either not calm or not strong. Everyone who is creative is not rich or tall. Everyone who is strong is not wise or not calm and vice versa. If someone is either calm or funny then john is not tall. If someone is either rich or ... | Alice is not happy. | entailment | (![X]:(creative(X)=>~old(X)))&
(![X]:(happy(X)=>rich(X)))&
(![X]:(happy(X)=>(~calm(X)<~>~strong(X))))&
(![X]:(creative(X)=>(~rich(X)|tall(X))))&
(![X]:(strong(X)<=>(~wise(X)|~calm(X))))&
((?[X]:((calm(X)<~>funny(X))))=>(~tall(john)))&
((?[X]:((rich(X)<~>~old(X))))<=>((~happy(john)|~creative(john))))&
(![X]:((old(X)|ric... | ~happy(alice) | [
"p1",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 15015612732852195382595
% SZS output start Proof for 15015612732852195382595
2. ! [X0] : (happy(X0) => rich(X0)) [input p1]
8. ! [X0] : ((rich(X0) | old(X0)) <=> (kind(X0) & calm(X0))) [input p7]
14. ! [X0] : ((~wise(X0) | kind(X0)) <=> (generous(X0) & ~happy(X0))) [input p13]
25. happy(a... | 0 |
Everyone who is both strong and kind is not rich. Everyone who is not quiet or quiet is strong or humble. Everyone who is both tall and creative is either not funny or not quiet. Everyone who is not happy or not quiet is calm. If someone is tall then someone is both curious and calm. Everyone who is both wise and patie... | Mary is funny. | neutral | (![X]:((strong(X)&kind(X))=>~rich(X)))&
(![X]:((~quiet(X)|quiet(X))=>(strong(X)|humble(X))))&
(![X]:((tall(X)&creative(X))=>(~funny(X)<~>~quiet(X))))&
(![X]:((~happy(X)|~quiet(X))=>calm(X)))&
((?[X]:(tall(X)))=>(?[X]:((curious(X)&calm(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X... | funny(mary) | [] | null | 0 |
Everyone who is either not creative or not humble is both not curious and not humble and vice versa.
Everyone who is both not calm and not tall is old.
Everyone who is both not creative and not rich is not curious.
If someone is either not patient or humble then susan is both generous and kind and vice versa.
If lucy i... | John is creative. | entailment | (![X]:((~creative(X)<~>~humble(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~calm(X)&~tall(X))=>old(X)))&
(![X]:((~creative(X)&~rich(X))=>~curious(X)))&
((?[X]:((~patient(X)<~>humble(X))))<=>((generous(susan)&kind(susan))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)&brave(X))<=>(~tall(X)&~... | creative(john) | [
"p0",
"p3",
"p6",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 411694298112899757148870
% SZS output start Proof for 411694298112899757148870
1. ! [X0] : ((~creative(X0) <~> ~humble(X0)) <=> (~humble(X0) & ~curious(X0))) [input p0]
4. ? [X0] : (~patient(X0) <~> humble(X0)) <=> (kind(susan) & generous(susan)) [input p3]
7. ! [X0] : ((wise(X0) | ~tall(... | 0 |
Everyone who is not old is strong.
If lucy is not funny or not humble then alice is not calm or humble.
If lucy is strong or wise then susan is either not creative or not happy and vice versa.
If susan is both strong and quiet then paul is both wise and not wise.
Everyone who is either happy or humble is either not gen... | Susan is old. | entailment | (![X]:(~old(X)=>strong(X)))&
(((~funny(lucy)|~humble(lucy)))=>((~calm(alice)|humble(alice))))&
(((strong(lucy)|wise(lucy)))<=>((~creative(susan)<~>~happy(susan))))&
(((strong(susan)&quiet(susan)))=>((wise(paul)&~wise(paul))))&
(![X]:((happy(X)<~>humble(X))<=>(~generous(X)<~>brave(X))))&
((?[X]:((old(X)&~humble(X))))=>(... | old(susan) | [
"p0",
"p3",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8036514688650403054269127
% SZS output start Proof for 8036514688650403054269127
1. ! [X0] : (~old(X0) => strong(X0)) [input p0]
4. (quiet(susan) & strong(susan)) => (~wise(paul) & wise(paul)) [input p3]
14. ! [X0] : ((tall(X0) | creative(X0)) <=> (quiet(X0) & ~kind(X0))) [input p13]
24. ... | 0 |
If alice is humble then john is either not quiet or not kind.
If paul is either not calm or not wise then alice is either calm or not wise.
If someone is either not happy or not generous then alice is either generous or not creative.
If someone is either not funny or not patient then someone is either not patient or ki... | Mary is patient. | entailment | ((humble(alice))=>((~quiet(john)<~>~kind(john))))&
(((~calm(paul)<~>~wise(paul)))=>((calm(alice)<~>~wise(alice))))&
((?[X]:((~happy(X)<~>~generous(X))))=>((generous(alice)<~>~creative(alice))))&
((?[X]:((~funny(X)<~>~patient(X))))<=>(?[X]:((~patient(X)<~>kind(X)))))&
((?[X]:((~happy(X)<~>patient(X))))<=>((brave(mary)<~... | patient(mary) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 746741711877696825803649
% SZS output start Proof for 746741711877696825803649
9. (patient(mary) & ~creative(mary)) <=> ? [X0] : (~wise(X0) | ~creative(X0)) [input p8]
23. brave(john) & ~creative(john) [input p22]
25. ~patient(mary) [input hypothesis]
59. ((patient(mary) & ~creative(mary)... | 0 |
Everyone who is either happy or not old is kind or not quiet and vice versa.
Everyone who is both not wise and not curious is kind or tall.
If fred is either not quiet or not generous then john is either creative or tall and vice versa.
Everyone who is both tall and not brave is either kind or not tall.
If mary is both... | Fred is happy. | neutral | (![X]:((happy(X)<~>~old(X))<=>(kind(X)|~quiet(X))))&
(![X]:((~wise(X)&~curious(X))=>(kind(X)|tall(X))))&
(((~quiet(fred)<~>~generous(fred)))<=>((creative(john)<~>tall(john))))&
(![X]:((tall(X)&~brave(X))=>(kind(X)<~>~tall(X))))&
(((quiet(mary)&~patient(mary)))=>(?[X]:((~generous(X)|~rich(X)))))&
((?[X]:((~old(X)|humble... | happy(fred) | [] | null | 0 |
If susan is patient then someone is old or creative.
If someone is rich then susan is both not kind and humble.
Everyone who is either not tall or not strong is not patient and vice versa.
Everyone who is not old or patient is either happy or not rich.
If someone is creative or not generous then someone is wise or curi... | Paul is tall. | entailment | ((patient(susan))=>(?[X]:((old(X)|creative(X)))))&
((?[X]:(rich(X)))=>((~kind(susan)&humble(susan))))&
(![X]:((~tall(X)<~>~strong(X))<=>~patient(X)))&
(![X]:((~old(X)|patient(X))=>(happy(X)<~>~rich(X))))&
((?[X]:((creative(X)|~generous(X))))<=>(?[X]:((wise(X)|curious(X)))))&
(![X]:((~funny(X)|strong(X))=>quiet(X)))&
((... | tall(paul) | [
"p2",
"p3",
"p5",
"p7",
"p11",
"p12",
"p14",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5430712940576179453102775
% SZS output start Proof for 5430712940576179453102775
3. ! [X0] : ((~tall(X0) <~> ~strong(X0)) <=> ~patient(X0)) [input p2]
4. ! [X0] : ((patient(X0) | ~old(X0)) => (happy(X0) <~> ~rich(X0))) [input p3]
6. ! [X0] : ((strong(X0) | ~funny(X0)) => quiet(X0)) [input... | 0 |
Everyone who is either not happy or not humble is strong. Everyone who is not kind is not patient and vice versa. Everyone who is not calm is wise or not patient and vice versa. If someone is humble then alice is both not brave and strong and vice versa. Everyone who is both funny and calm is both not wise and funny an... | Susan is not tall. | neutral | (![X]:((~happy(X)<~>~humble(X))=>strong(X)))&
(![X]:(~kind(X)<=>~patient(X)))&
(![X]:(~calm(X)<=>(wise(X)|~patient(X))))&
((?[X]:(humble(X)))<=>((~brave(alice)&strong(alice))))&
(![X]:((funny(X)&calm(X))<=>(~wise(X)&funny(X))))&
(![X]:((humble(X)&generous(X))=>(~kind(X)&~rich(X))))&
(((~creative(lucy)|strong(lucy)))<=>... | ~tall(susan) | [] | null | 0 |
If fred is both kind and not calm then paul is both funny and strong.
Everyone who is both not happy and not curious is both rich and not patient.
Everyone who is humble or not tall is brave or not patient and vice versa.
Everyone who is old or not old is either strong or not humble and vice versa.
If someone is both c... | Paul is not creative. | neutral | (((kind(fred)&~calm(fred)))=>((funny(paul)&strong(paul))))&
(![X]:((~happy(X)&~curious(X))=>(rich(X)&~patient(X))))&
(![X]:((humble(X)|~tall(X))<=>(brave(X)|~patient(X))))&
(![X]:((old(X)|~old(X))<=>(strong(X)<~>~humble(X))))&
((?[X]:((calm(X)&generous(X))))<=>((~wise(john)<~>generous(john))))&
((?[X]:((~kind(X)|kind(X... | ~creative(paul) | [] | null | 0 |
Everyone who is funny or kind is kind and vice versa.
If someone is either happy or not old then someone is either not old or not brave and vice versa.
Everyone who is both not rich and tall is both kind and not quiet.
Everyone who is both wise and not happy is either curious or creative.
Everyone who is either rich or... | Susan is not tall. | neutral | (![X]:((funny(X)|kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X]:((rich(X)<~>~happy(X))=>(~old(X)<~>brave(X))))&
((?[X]:(~wise(X)))<=>((kind(lucy)<~>curious(lucy))))&... | ~tall(susan) | [] | null | 0 |
Everyone who is either not happy or not wise is creative. If john is creative then someone is not wise or not curious and vice versa. Everyone who is not humble or not calm is generous or patient. Everyone who is not creative or not patient is both humble and not old and vice versa. If someone is either not quiet or st... | Lucy is rich. | entailment | (![X]:((~happy(X)<~>~wise(X))=>creative(X)))&
((creative(john))<=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:((~humble(X)|~calm(X))=>(generous(X)|patient(X))))&
(![X]:((~creative(X)|~patient(X))<=>(humble(X)&~old(X))))&
((?[X]:((~quiet(X)<~>strong(X))))=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((patient(X)|~patient(... | rich(lucy) | [
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6154283812820399493418579
% SZS output start Proof for 6154283812820399493418579
6. ? [X0] : (~patient(X0) | patient(X0)) <=> (kind(lucy) | rich(lucy)) [input p5]
18. ~kind(lucy) & ~curious(lucy) [input p17]
25. ~rich(lucy) [input hypothesis]
51. (? [X0] : (~patient(X0) | patient(X0)) | (... | 0 |
If alice is both not brave and kind then someone is generous.
If someone is wise or not calm then someone is both not curious and not strong.
Everyone who is both not calm and curious is either brave or not strong.
Everyone who is both not happy and not quiet is either not funny or rich.
Everyone who is both not tall a... | Lucy is not funny. | neutral | (((~brave(alice)&kind(alice)))=>(?[X]:(generous(X))))&
((?[X]:((wise(X)|~calm(X))))=>(?[X]:((~curious(X)&~strong(X)))))&
(![X]:((~calm(X)&curious(X))=>(brave(X)<~>~strong(X))))&
(![X]:((~happy(X)&~quiet(X))=>(~funny(X)<~>rich(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~old(X)|humble(X))))&
(((~curious(paul)&~strong(paul)))=... | ~funny(lucy) | [] | null | 0 |
Everyone who is patient is either brave or not humble and vice versa.
If john is both brave and humble then someone is not strong or not creative.
If fred is not kind then mary is funny or not funny and vice versa.
Everyone who is both not old and not kind is not patient or tall and vice versa.
If someone is humble or ... | Susan is not tall. | neutral | (![X]:(patient(X)<=>(brave(X)<~>~humble(X))))&
(((brave(john)&humble(john)))=>(?[X]:((~strong(X)|~creative(X)))))&
((~kind(fred))<=>((funny(mary)|~funny(mary))))&
(![X]:((~old(X)&~kind(X))<=>(~patient(X)|tall(X))))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:(rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~funny(X))))&
((?[X]... | ~tall(susan) | [] | null | 0 |
If fred is either old or quiet then susan is both not quiet and humble. If fred is not funny or quiet then someone is either funny or kind. If susan is both not strong and not happy then john is quiet. Everyone who is creative or not quiet is either calm or funny. Everyone who is not patient or not happy is both creati... | Lucy is calm. | entailment | (((old(fred)<~>quiet(fred)))=>((~quiet(susan)&humble(susan))))&
(((~funny(fred)|quiet(fred)))=>(?[X]:((funny(X)<~>kind(X)))))&
(((~strong(susan)&~happy(susan)))=>(quiet(john)))&
(![X]:((creative(X)|~quiet(X))=>(calm(X)<~>funny(X))))&
(![X]:((~patient(X)|~happy(X))=>(creative(X)&generous(X))))&
((?[X]:((~calm(X)<~>~quie... | calm(lucy) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6156746108581439823260300
% SZS output start Proof for 6156746108581439823260300
7. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> ~calm(X0)) [input p6]
14. ! [X0] : ((humble(X0) <~> ~calm(X0)) <=> (humble(X0) & ~brave(X0))) [input p13]
24. ~calm(lucy) [input hypothesis]
46. ! [X0] : (((~humble(... | 0 |
If someone is not quiet then alice is either not wise or wise and vice versa.
Everyone who is curious or patient is both humble and not rich.
Everyone who is both not calm and humble is not curious or tall and vice versa.
Everyone who is not old or not curious is strong and vice versa.
If someone is either not curious ... | Lucy is not curious. | entailment | ((?[X]:(~quiet(X)))<=>((~wise(alice)<~>wise(alice))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~rich(X))))&
(![X]:((~calm(X)&humble(X))<=>(~curious(X)|tall(X))))&
(![X]:((~old(X)|~curious(X))<=>strong(X)))&
((?[X]:((~curious(X)<~>~creative(X))))<=>(?[X]:((tall(X)&creative(X)))))&
(![X]:((~strong(X)&funny(X))<=>(~old... | ~curious(lucy) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2084732864384481658394175
% SZS output start Proof for 2084732864384481658394175
2. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(X0))) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (tall(X0) | ~curious(X0))) [input p2]
4. ! [X0] : ((~curious(X0) | ~old(X0)) <=> stro... | 0 |
Everyone who is creative or not quiet is either quiet or not old and vice versa. Everyone who is quiet is curious. If mary is both strong and not curious then someone is not humble or not brave and vice versa. Everyone who is not happy or not brave is both not patient and not creative and vice versa. Everyone who is br... | Alice is not generous. | contradiction | (![X]:((creative(X)|~quiet(X))<=>(quiet(X)<~>~old(X))))&
(![X]:(quiet(X)=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&
(![X]:(brave(X)<=>(~humble(X)|calm(X))))&
(![X]:((~old(X)<~>~brave(X))<=>kind(X)))&
((?[X]:((~strong(X... | ~generous(alice) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p11",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8979800387568673666845790
% SZS output start Proof for 8979800387568673666845790
1. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p0]
4. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> (~creative(X0) & ~patient(X0))) [input p3]
5. ! [X0] : (brave(X0) <=> (calm(X0) | ~... | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Lucy is not tall. | entailment | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | ~tall(lucy) | [
"p2",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5394041591983390146284855
% SZS output start Proof for 5394041591983390146284855
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
12. ? [X0] : kind(X0) <=> (funny(alice) & generous(alice)) [input p11]
13. ! [X0] : ((~wise(X0) | tall(X0)) <=> (patient(X0) & ~kind(X0))) [input p12]
14. ! [X... | 0 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is either patient or rich is not happy or kind.
Everyone who is not old or tall is happy and vice versa.
Everyone who is both not kind and rich is humble.
Everyone who is generous is wise.
Everyone who is both quiet and humble i... | Mary is calm. | entailment | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~old(X)|tall(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|strong(X))))&
(![X]:((kind(X)|tall(X))=>(strong(X)&generous(X)... | calm(mary) | [
"p0",
"p4",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7971355222191726522217134
% SZS output start Proof for 7971355222191726522217134
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~funny(X0) & kind(X0))) [input p0]
5. ! [X0] : (generous(X0) => wise(X0)) [input p4]
6. ! [X0] : ((humble(X0) & quiet(X0)) <=> (strong(X0) | quiet(X0))) [input p5]
... | 0 |
Everyone who is not patient or not calm is either generous or tall and vice versa. Everyone who is either not wise or generous is either not old or funny. Everyone who is not wise is not brave or happy and vice versa. Everyone who is both wise and not kind is strong or not brave. Everyone who is either not creative or ... | Alice is not generous. | entailment | (![X]:((~patient(X)|~calm(X))<=>(generous(X)<~>tall(X))))&
(![X]:((~wise(X)<~>generous(X))=>(~old(X)<~>funny(X))))&
(![X]:(~wise(X)<=>(~brave(X)|happy(X))))&
(![X]:((wise(X)&~kind(X))=>(strong(X)|~brave(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(humble(X)|~patient(X))))&
(![X]:(~old(X)<=>(~brave(X)&old(X))))&
(![X]:((pa... | ~generous(alice) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4015064522011489775880496
% SZS output start Proof for 4015064522011489775880496
1. ! [X0] : ((~calm(X0) | ~patient(X0)) <=> (generous(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((~wise(X0) <~> generous(X0)) => (~old(X0) <~> funny(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (happy(X0) | ~b... | 0 |
Everyone who is both not humble and not curious is either humble or funny.
If mary is strong then someone is old or not strong and vice versa.
Everyone who is old or generous is not happy and vice versa.
If someone is not wise or not happy then lucy is old or not creative.
Everyone who is either not happy or not calm i... | Mary is not generous. | entailment | (![X]:((~humble(X)&~curious(X))=>(humble(X)<~>funny(X))))&
((strong(mary))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((old(X)|generous(X))<=>~happy(X)))&
((?[X]:((~wise(X)|~happy(X))))=>((old(lucy)|~creative(lucy))))&
(![X]:((~happy(X)<~>~calm(X))<=>~creative(X)))&
(![X]:(~old(X)=>(~wise(X)<~>wise(X))))&
(![X]:((curious(X... | ~generous(mary) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2074704525639429809242644
% SZS output start Proof for 2074704525639429809242644
10. ! [X0] : (wise(X0) <=> (~curious(X0) | curious(X0))) [input p9]
13. ! [X0] : ((humble(X0) | wise(X0)) => ~generous(X0)) [input p12]
25. generous(mary) [input hypothesis]
33. ! [X0] : (~generous(X0) | (~hu... | 0 |
If john is either wise or not calm then lucy is not patient. If fred is not strong then someone is not curious. Everyone who is not patient or not brave is either not happy or quiet. Everyone who is strong or quiet is both not humble and not brave and vice versa. If susan is funny then mary is either humble or funny an... | Susan is not brave. | entailment | (((wise(john)<~>~calm(john)))=>(~patient(lucy)))&
((~strong(fred))=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)|~brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((strong(X)|quiet(X))<=>(~humble(X)&~brave(X))))&
((funny(susan))<=>((humble(mary)<~>funny(mary))))&
(![X]:(happy(X)=>patient(X)))&
((?[X]:((~wise(X)&~strong(X))))=>... | ~brave(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2015026441529767023741272
% SZS output start Proof for 2015026441529767023741272
19. tall(susan) & ~brave(susan) [input p18]
25. brave(susan) [input hypothesis]
29. ~brave(susan) [pure predicate removal 19]
109. ~brave(susan) [cnf transformation 29]
116. brave(susan) [cnf transformation 2... | 0 |
Everyone who is either not creative or not patient is both brave and funny. Everyone who is not patient is not strong and vice versa. If susan is not funny or brave then someone is not strong or humble and vice versa. Everyone who is kind is not kind or happy. If fred is not curious or wise then someone is both not gen... | John is wise. | contradiction | (![X]:((~creative(X)<~>~patient(X))=>(brave(X)&funny(X))))&
(![X]:(~patient(X)<=>~strong(X)))&
(((~funny(susan)|brave(susan)))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(kind(X)=>(~kind(X)|happy(X))))&
(((~curious(fred)|wise(fred)))=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((rich(X)<~>~rich(X))<=>(calm(X)<~>~brave(X))... | wise(john) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8473180561533541020482567
% SZS output start Proof for 8473180561533541020482567
7. ? [X0] : (old(X0) | creative(X0)) <=> ? [X0] : (~kind(X0) & kind(X0)) [input p6]
14. ! [X0] : ((~wise(X0) <~> ~creative(X0)) => (creative(X0) & strong(X0))) [input p13]
22. wise(john) [input hypothesis]
23... | 0 |
If susan is either not generous or not patient then someone is either wise or not tall and vice versa.
Everyone who is brave or not patient is not generous.
Everyone who is not patient or not rich is both happy and not old and vice versa.
Everyone who is both not rich and not brave is not wise or rich.
If paul is kind ... | Paul is not creative. | entailment | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((~patient(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((~rich(X)&~brave(X))=>(~wise(X)|rich(X))))&
((kind(paul))=>((kind(paul)<~>~old(paul))))&
(![X]:((~patient(X)|rich(X))<=>(~patient(X)<~>~ca... | ~creative(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7341175668098602721319003
% SZS output start Proof for 7341175668098602721319003
1. (~generous(susan) <~> ~patient(susan)) <=> ? [X0] : (wise(X0) <~> ~tall(X0)) [input p0]
2. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (~ol... | 0 |
Everyone who is not quiet is both brave and not funny. Everyone who is either not quiet or not humble is both not old and not funny and vice versa. Everyone who is kind is not curious and vice versa. Everyone who is either calm or quiet is not generous. Everyone who is creative is not wise. Everyone who is not kind or ... | Alice is old. | neutral | (![X]:(~quiet(X)=>(brave(X)&~funny(X))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~old(X)&~funny(X))))&
(![X]:(kind(X)<=>~curious(X)))&
(![X]:((calm(X)<~>quiet(X))=>~generous(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((~kind(X)|rich(X))<=>~patient(X)))&
((?[X]:((~old(X)&~tall(X))))=>((happy(mary)|kind(mary))))&
((?[X]:(~r... | old(alice) | [] | null | 0 |
If fred is both brave and not strong then fred is either curious or not tall. Everyone who is happy or not patient is both tall and not wise. Everyone who is not brave or generous is either not strong or patient and vice versa. Everyone who is not humble is not brave or generous and vice versa. Everyone who is both qui... | Lucy is funny. | contradiction | (((brave(fred)&~strong(fred)))=>((curious(fred)<~>~tall(fred))))&
(![X]:((happy(X)|~patient(X))=>(tall(X)&~wise(X))))&
(![X]:((~brave(X)|generous(X))<=>(~strong(X)<~>patient(X))))&
(![X]:(~humble(X)<=>(~brave(X)|generous(X))))&
(![X]:((quiet(X)&~wise(X))<=>~generous(X)))&
((?[X]:((~old(X)|rich(X))))=>(~humble(paul)))&
... | funny(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5234951008219783829356346
% SZS output start Proof for 5234951008219783829356346
2. ! [X0] : ((~patient(X0) | happy(X0)) => (~wise(X0) & tall(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~brave(X0)) <=> (~strong(X0) <~> patient(X0))) [input p2]
5. ! [X0] : ((~wise(X0) & quiet(X0)) <=> ~g... | 0 |
Everyone who is both not strong and happy is both calm and not kind and vice versa.
Everyone who is humble or not curious is creative or not tall and vice versa.
Everyone who is calm is happy or not curious.
If fred is either not quiet or strong then someone is both not patient and happy.
Everyone who is humble or happ... | Mary is brave. | neutral | (![X]:((~strong(X)&happy(X))<=>(calm(X)&~kind(X))))&
(![X]:((humble(X)|~curious(X))<=>(creative(X)|~tall(X))))&
(![X]:(calm(X)=>(happy(X)|~curious(X))))&
(((~quiet(fred)<~>strong(fred)))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:((humble(X)|happy(X))<=>generous(X)))&
(![X]:((curious(X)<~>~brave(X))=>(happy(X)|~rich(X)))... | brave(mary) | [] | null | 0 |
Everyone who is either not strong or not wise is both not happy and old.
Everyone who is not creative or not wise is funny.
If lucy is not calm or not tall then mary is not strong or not curious.
Everyone who is either not generous or not wise is both wise and patient and vice versa.
Everyone who is tall or generous is... | Lucy is happy. | neutral | (![X]:((~strong(X)<~>~wise(X))=>(~happy(X)&old(X))))&
(![X]:((~creative(X)|~wise(X))=>funny(X)))&
(((~calm(lucy)|~tall(lucy)))=>((~strong(mary)|~curious(mary))))&
(![X]:((~generous(X)<~>~wise(X))<=>(wise(X)&patient(X))))&
(![X]:((tall(X)|generous(X))=>~brave(X)))&
(![X]:((calm(X)<~>~patient(X))<=>(~rich(X)|patient(X)))... | happy(lucy) | [] | null | 0 |
If fred is not happy or rich then someone is not curious. Everyone who is old or not generous is either wise or funny and vice versa. If paul is quiet then someone is either creative or humble. Everyone who is not creative is not calm and vice versa. Everyone who is calm or not tall is both funny and wise. If someone i... | Lucy is not brave. | entailment | (((~happy(fred)|rich(fred)))=>(?[X]:(~curious(X))))&
(![X]:((old(X)|~generous(X))<=>(wise(X)<~>funny(X))))&
((quiet(paul))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((calm(X)|~tall(X))=>(funny(X)&wise(X))))&
((?[X]:(quiet(X)))<=>((~creative(susan)&patient(susan))))&
(![X]:((wise(X)|~... | ~brave(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6686265856152187321633415
% SZS output start Proof for 6686265856152187321633415
2. ! [X0] : ((~generous(X0) | old(X0)) <=> (wise(X0) <~> funny(X0))) [input p1]
4. ! [X0] : (~creative(X0) <=> ~calm(X0)) [input p3]
5. ! [X0] : ((~tall(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p4]
6... | 0 |
Everyone who is curious or not quiet is both strong and not creative.
If someone is both old and not rich then someone is tall and vice versa.
Everyone who is not old or tall is either humble or brave.
If lucy is both not brave and not strong then fred is not old and vice versa.
If someone is either not strong or not f... | Mary is quiet. | entailment | (![X]:((curious(X)|~quiet(X))=>(strong(X)&~creative(X))))&
((?[X]:((old(X)&~rich(X))))<=>(?[X]:(tall(X))))&
(![X]:((~old(X)|tall(X))=>(humble(X)<~>brave(X))))&
(((~brave(lucy)&~strong(lucy)))<=>(~old(fred)))&
((?[X]:((~strong(X)<~>~funny(X))))=>((~calm(john)|old(john))))&
(![X]:((happy(X)|rich(X))<=>(~patient(X)<~>pati... | quiet(mary) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1625511651055350689779758
% SZS output start Proof for 1625511651055350689779758
1. ! [X0] : ((~quiet(X0) | curious(X0)) => (~creative(X0) & strong(X0))) [input p0]
15. ! [X0] : (~quiet(X0) <=> (old(X0) & creative(X0))) [input p14]
24. ~quiet(mary) [input hypothesis]
28. ! [X0] : ((~creat... | 0 |
If fred is either not strong or brave then mary is both kind and happy.
Everyone who is either not calm or strong is kind or creative.
Everyone who is either strong or not tall is both strong and not kind and vice versa.
Everyone who is both not creative and not generous is calm and vice versa.
Everyone who is either n... | Fred is not quiet. | neutral | (((~strong(fred)<~>brave(fred)))=>((kind(mary)&happy(mary))))&
(![X]:((~calm(X)<~>strong(X))=>(kind(X)|creative(X))))&
(![X]:((strong(X)<~>~tall(X))<=>(strong(X)&~kind(X))))&
(![X]:((~creative(X)&~generous(X))<=>calm(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(tall(X)<~>~wise(X))))&
(![X]:((~humble(X)|~brave(X))=>(quiet(X... | ~quiet(fred) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is strong and vice versa.
If someone is not patient then someone is either not curious or not brave.
If fred is not creative or not wise then john is both quiet and rich and vice versa.
Everyone who is either patie... | Paul is strong. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~curious(X)<~>~brave(X)))))&
(((~creative(fred)|~wise(fred)))<=>((quiet(john)&rich(john))))&
(![X]:((patient(X)<~>~creative(X))<=>~curious(X)))&
(![X]:((quiet(X)&~tall(X))<=>old(X)))&
(![X]:((rich(X)... | strong(paul) | [
"p1",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4300370060435556341559382
% SZS output start Proof for 4300370060435556341559382
2. ! [X0] : (calm(X0) <=> strong(X0)) [input p1]
23. ~calm(paul) & happy(paul) [input p22]
25. strong(paul) [input hypothesis]
38. ! [X0] : ((calm(X0) | ~strong(X0)) & (strong(X0) | ~calm(X0))) [nnf transform... | 0 |
Everyone who is either tall or kind is both curious and calm.
If someone is not old or not generous then lucy is both not happy and generous.
Everyone who is either not wise or not rich is both not happy and not creative.
If alice is not brave then someone is not strong or calm and vice versa.
If someone is both not ol... | Lucy is not generous. | contradiction | (![X]:((tall(X)<~>kind(X))=>(curious(X)&calm(X))))&
((?[X]:((~old(X)|~generous(X))))=>((~happy(lucy)&generous(lucy))))&
(![X]:((~wise(X)<~>~rich(X))=>(~happy(X)&~creative(X))))&
((~brave(alice))<=>(?[X]:((~strong(X)|calm(X)))))&
((?[X]:((~old(X)&~calm(X))))<=>((~quiet(john)&tall(john))))&
((?[X]:((~calm(X)|~wise(X))))<... | ~generous(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 291460915623657819932369
% SZS output start Proof for 291460915623657819932369
2. ? [X0] : (~generous(X0) | ~old(X0)) => (generous(lucy) & ~happy(lucy)) [input p1]
25. ~generous(lucy) [input hypothesis]
28. (generous(lucy) & ~happy(lucy)) | ! [X0] : (generous(X0) & old(X0)) [ennf transfor... | 0 |
Everyone who is not wise or not kind is not creative.
Everyone who is either not wise or not patient is either wise or not quiet and vice versa.
If someone is both not tall and brave then mary is kind or brave and vice versa.
If lucy is not funny then john is both creative and not quiet and vice versa.
If paul is both ... | Fred is old. | entailment | (![X]:((~wise(X)|~kind(X))=>~creative(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:((~tall(X)&brave(X))))<=>((kind(mary)|brave(mary))))&
((~funny(lucy))<=>((creative(john)&~quiet(john))))&
(((~humble(paul)&happy(paul)))<=>((creative(paul)&~patient(paul))))&
(((wise(fred)&~rich(fred)))<=>((~ge... | old(fred) | [
"p1",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8238180194262099161613414
% SZS output start Proof for 8238180194262099161613414
2. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (wise(X0) <~> ~quiet(X0))) [input p1]
8. ! [X0] : ((~patient(X0) & ~generous(X0)) => ~quiet(X0)) [input p7]
10. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (old(X0) & ... | 0 |
If someone is not kind or kind then someone is either creative or not wise and vice versa.
Everyone who is not brave or not old is both not generous and humble.
If fred is not kind then someone is either creative or humble.
Everyone who is old or not creative is generous and vice versa.
If someone is either not strong ... | John is brave. | entailment | ((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~brave(X)|~old(X))=>(~generous(X)&humble(X))))&
((~kind(fred))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:((old(X)|~creative(X))<=>generous(X)))&
((?[X]:((~strong(X)<~>~generous(X))))<=>(?[X]:(curious(X))))&
(((~strong(paul)|~funny(paul)))<=>((... | brave(john) | [
"p1",
"p3",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7364325729676223673759866
% SZS output start Proof for 7364325729676223673759866
2. ! [X0] : ((~old(X0) | ~brave(X0)) => (humble(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((~creative(X0) | old(X0)) <=> generous(X0)) [input p3]
5. ? [X0] : (~strong(X0) <~> ~generous(X0)) <=> ? [X0] : cu... | 0 |
If someone is either not rich or not happy then someone is not generous and vice versa.
If someone is not humble or happy then someone is not old or not calm and vice versa.
Everyone who is not rich is not kind.
Everyone who is not generous or not calm is both not strong and not rich and vice versa.
Everyone who is eit... | Mary is quiet. | neutral | ((?[X]:((~rich(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:(~rich(X)=>~kind(X)))&
(![X]:((~generous(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(happy(X)&~humble(X))))&
((quiet(paul))<=>(?[X]:((brave(X)|happy(X)))))&
(![... | quiet(mary) | [] | null | 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 1003682042632441410987584
% SZS output start Proof for 1003682042632441410987584
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 either not wise or tall is both not brave and old.
If mary is generous then alice is curious.
Everyone who is both not wise and curious is wise or patient and vice versa.
Everyone who is not funny is not curious and vice versa.
If lucy is quiet then someone is curious.
Everyone who is both generous and ... | Susan is curious. | neutral | (![X]:((~wise(X)<~>tall(X))=>(~brave(X)&old(X))))&
((generous(mary))=>(curious(alice)))&
(![X]:((~wise(X)&curious(X))<=>(wise(X)|patient(X))))&
(![X]:(~funny(X)<=>~curious(X)))&
((quiet(lucy))=>(?[X]:(curious(X))))&
(![X]:((generous(X)&~kind(X))<=>wise(X)))&
(![X]:((~humble(X)|~tall(X))=>kind(X)))&
((~quiet(paul))<=>(c... | curious(susan) | [] | null | 0 |
If someone is both not brave and not calm then susan is not old.
If someone is either not quiet or not curious then someone is both funny and not funny and vice versa.
If someone is either not calm or not brave then lucy is both not wise and kind.
Everyone who is brave is both generous and not wise and vice versa.
If s... | Susan is not old. | entailment | ((?[X]:((~brave(X)&~calm(X))))=>(~old(susan)))&
((?[X]:((~quiet(X)<~>~curious(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
((?[X]:((~calm(X)<~>~brave(X))))=>((~wise(lucy)&kind(lucy))))&
(![X]:(brave(X)<=>(generous(X)&~wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~patient(X)|~quiet(X)))))&
((tall(alice))=>((~creative(paul)|~qu... | ~old(susan) | [
"p0",
"p1",
"p3",
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5389841568306021188279335
% SZS output start Proof for 5389841568306021188279335
1. ? [X0] : (~calm(X0) & ~brave(X0)) => ~old(susan) [input p0]
2. ? [X0] : (~quiet(X0) <~> ~curious(X0)) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p1]
4. ! [X0] : (brave(X0) <=> (~wise(X0) & generous(X0)))... | 0 |
Everyone who is brave is both not tall and quiet.
If john is either not patient or not quiet then lucy is either kind or not wise.
Everyone who is creative or not humble is either not kind or not rich and vice versa.
Everyone who is either funny or curious is calm or not humble and vice versa.
Everyone who is kind or n... | Mary is patient. | neutral | (![X]:(brave(X)=>(~tall(X)&quiet(X))))&
(((~patient(john)<~>~quiet(john)))=>((kind(lucy)<~>~wise(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(... | patient(mary) | [] | null | 0 |
Everyone who is tall is funny and vice versa.
Everyone who is not tall or kind is both happy and funny.
If someone is either not rich or not old then someone is not tall and vice versa.
Everyone who is not rich is wise or humble and vice versa.
If susan is both rich and not funny then someone is either not kind or not ... | John is not generous. | neutral | (![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)|kind(X))=>(happy(X)&funny(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~rich(X)<=>(wise(X)|humble(X))))&
(((rich(susan)&~funny(susan)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
(![X]:((funny(X)&old(X))<=>(~brave(X)&~old(X))))&
(![X]:(calm(X)=>generous(X)))&
(... | ~generous(john) | [] | null | 0 |
If mary is both not humble and not calm then someone is both strong and patient.
If someone is both not old and not tall then someone is not humble or patient and vice versa.
If susan is either kind or curious then someone is either not humble or not curious.
Everyone who is kind or not rich is both strong and humble.
... | Mary is patient. | neutral | (((~humble(mary)&~calm(mary)))=>(?[X]:((strong(X)&patient(X)))))&
((?[X]:((~old(X)&~tall(X))))<=>(?[X]:((~humble(X)|patient(X)))))&
(((kind(susan)<~>curious(susan)))=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((kind(X)|~rich(X))=>(strong(X)&humble(X))))&
((patient(susan))=>(?[X]:((~kind(X)|generous(X)))))&
((?[X]:((f... | patient(mary) | [] | null | 0 |
Everyone who is both brave and not generous is either strong or humble.
Everyone who is wise or not quiet is not happy or not tall and vice versa.
Everyone who is both not creative and rich is either creative or not calm.
Everyone who is strong is not patient or humble.
Everyone who is not tall is not old or humble.
If... | Susan is rich. | neutral | (![X]:((brave(X)&~generous(X))=>(strong(X)<~>humble(X))))&
(![X]:((wise(X)|~quiet(X))<=>(~happy(X)|~tall(X))))&
(![X]:((~creative(X)&rich(X))=>(creative(X)<~>~calm(X))))&
(![X]:(strong(X)=>(~patient(X)|humble(X))))&
(![X]:(~tall(X)=>(~old(X)|humble(X))))&
((?[X]:((~strong(X)|~quiet(X))))<=>(?[X]:((old(X)&humble(X)))))&... | rich(susan) | [] | null | 0 |
If someone is either humble or wise then mary is either old or calm and vice versa.
If someone is tall or not brave then someone is not tall or not rich and vice versa.
Everyone who is either not wise or not calm is either not brave or wise and vice versa.
If someone is tall or not creative then john is both curious an... | Lucy is not happy. | neutral | ((?[X]:((humble(X)<~>wise(X))))<=>((old(mary)<~>calm(mary))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[X]:((~tall(X)|~rich(X)))))&
(![X]:((~wise(X)<~>~calm(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((tall(X)|~creative(X))))<=>((curious(john)&~creative(john))))&
(![X]:((~old(X)|funny(X))=>~wise(X)))&
(![X]:((~humble(X)<~>rich(X)... | ~happy(lucy) | [] | null | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | Fred is funny. | contradiction | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | funny(fred) | [
"p1",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 705940536950238030639859
% SZS output start Proof for 705940536950238030639859
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
9. ! [X0] : ((~curious(X0) & calm(X0)) <=> funny(X0)) [input p8]
14. ? [X0] : (funny(X0) <~> ~brave(X0)) => ? [X0] : (~strong(X0) &... | 0 |
If someone is not funny or happy then mary is either not brave or old. If someone is not rich or not tall then mary is not old. If someone is both generous and not old then lucy is either not curious or not generous. Everyone who is either tall or kind is either kind or not kind and vice versa. Everyone who is either p... | Lucy is rich. | neutral | ((?[X]:((~funny(X)|happy(X))))=>((~brave(mary)<~>old(mary))))&
((?[X]:((~rich(X)|~tall(X))))=>(~old(mary)))&
((?[X]:((generous(X)&~old(X))))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>~strong(X... | rich(lucy) | [] | null | 0 |
Everyone who is not funny or tall is strong and vice versa.
Everyone who is either funny or not old is generous.
If lucy is both rich and funny then john is not tall and vice versa.
If someone is both not strong and kind then someone is happy and vice versa.
If john is both happy and not old then someone is either brav... | Alice is kind. | contradiction | (![X]:((~funny(X)|tall(X))<=>strong(X)))&
(![X]:((funny(X)<~>~old(X))=>generous(X)))&
(((rich(lucy)&funny(lucy)))<=>(~tall(john)))&
((?[X]:((~strong(X)&kind(X))))<=>(?[X]:(happy(X))))&
(((happy(john)&~old(john)))=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~humble(X)=>(generous(X)|kind(X))))&
((creative(mary))<=>(?[X]:((h... | kind(alice) | [
"p0",
"p1",
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2811505018750194628667055
% SZS output start Proof for 2811505018750194628667055
1. ! [X0] : ((tall(X0) | ~funny(X0)) <=> strong(X0)) [input p0]
2. ! [X0] : ((funny(X0) <~> ~old(X0)) => generous(X0)) [input p1]
4. ? [X0] : (kind(X0) & ~strong(X0)) <=> ? [X0] : happy(X0) [input p3]
8. ! [X... | 0 |
If someone is both curious and kind then someone is tall or calm. Everyone who is old or tall is humble. Everyone who is either generous or not happy is curious or rich. Everyone who is both patient and not generous is not quiet and vice versa. Everyone who is not strong is not generous and vice versa. Everyone who is ... | Alice is calm. | neutral | ((?[X]:((curious(X)&kind(X))))=>(?[X]:((tall(X)|calm(X)))))&
(![X]:((old(X)|tall(X))=>humble(X)))&
(![X]:((generous(X)<~>~happy(X))=>(curious(X)|rich(X))))&
(![X]:((patient(X)&~generous(X))<=>~quiet(X)))&
(![X]:(~strong(X)<=>~generous(X)))&
(![X]:(~humble(X)<=>(happy(X)<~>creative(X))))&
(((~kind(susan)|~rich(susan)))<... | calm(alice) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.