premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both patient and not kind then someone is both rich and tall.
Everyone who is both happy and not tall is either not patient or generous and vice versa.
Everyone who is both rich and brave is both curious and humble and vice versa.
Everyone who is either wise or not kind is not funny or not strong.
If some... | Fred is not creative. | neutral | ((?[X]:((patient(X)&~kind(X))))=>(?[X]:((rich(X)&tall(X)))))&
(![X]:((happy(X)&~tall(X))<=>(~patient(X)<~>generous(X))))&
(![X]:((rich(X)&brave(X))<=>(curious(X)&humble(X))))&
(![X]:((wise(X)<~>~kind(X))=>(~funny(X)|~strong(X))))&
((?[X]:((humble(X)<~>~kind(X))))=>((quiet(mary)&generous(mary))))&
((?[X]:((kind(X)|~kind... | ~creative(fred) | [] | null | 0 |
If alice is not rich or not quiet then fred is generous or strong and vice versa.
If mary is not brave or not patient then lucy is both not calm and not funny and vice versa.
If susan is both patient and calm then someone is both old and curious and vice versa.
Everyone who is both not strong and creative is not humble... | Lucy is tall. | contradiction | (((~rich(alice)|~quiet(alice)))<=>((generous(fred)|strong(fred))))&
(((~brave(mary)|~patient(mary)))<=>((~calm(lucy)&~funny(lucy))))&
(((patient(susan)&calm(susan)))<=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~strong(X)&creative(X))<=>(~humble(X)|patient(X))))&
(((creative(john)&~calm(john)))<=>((calm(lucy)<~>~rich(lucy)... | tall(lucy) | [
"p1",
"p3",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 242592060122345385468152
% SZS output start Proof for 242592060122345385468152
2. (~patient(mary) | ~brave(mary)) <=> (~funny(lucy) & ~calm(lucy)) [input p1]
4. ! [X0] : ((creative(X0) & ~strong(X0)) <=> (patient(X0) | ~humble(X0))) [input p3]
12. ! [X0] : ((tall(X0) | creative(X0)) <=> (... | 0 |
Everyone who is both not generous and kind is generous. Everyone who is not rich is either curious or not patient and vice versa. If john is not brave or generous then alice is not wise or not kind. If susan is either quiet or curious then someone is both not humble and not calm. Everyone who is patient or calm is curi... | Fred is calm. | contradiction | (![X]:((~generous(X)&kind(X))=>generous(X)))&
(![X]:(~rich(X)<=>(curious(X)<~>~patient(X))))&
(((~brave(john)|generous(john)))=>((~wise(alice)|~kind(alice))))&
(((quiet(susan)<~>curious(susan)))=>(?[X]:((~humble(X)&~calm(X)))))&
(![X]:((patient(X)|calm(X))=>(curious(X)|rich(X))))&
(((~tall(john)<~>~old(john)))=>(?[X]:(... | calm(fred) | [
"p0",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1707240845600399719277337
% SZS output start Proof for 1707240845600399719277337
1. ! [X0] : ((kind(X0) & ~generous(X0)) => generous(X0)) [input p0]
5. ! [X0] : ((calm(X0) | patient(X0)) => (rich(X0) | curious(X0))) [input p4]
11. (happy(john) & calm(john)) <=> (curious(fred) | ~kind(fred... | 0 |
If someone is wise or not rich then mary is either not calm or not brave and vice versa.
Everyone who is patient or tall is both kind and brave.
Everyone who is funny or not wise is not kind or not quiet.
If someone is generous then john is not quiet or funny.
Everyone who is both not patient and not tall is wise and v... | Lucy is not quiet. | entailment | ((?[X]:((wise(X)|~rich(X))))<=>((~calm(mary)<~>~brave(mary))))&
(![X]:((patient(X)|tall(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)|~wise(X))=>(~kind(X)|~quiet(X))))&
((?[X]:(generous(X)))=>((~quiet(john)|funny(john))))&
(![X]:((~patient(X)&~tall(X))<=>wise(X)))&
(((generous(lucy)|brave(lucy)))<=>(?[X]:((~funny(X)|~tal... | ~quiet(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5906117947609339694479644
% SZS output start Proof for 5906117947609339694479644
2. ! [X0] : ((tall(X0) | patient(X0)) => (brave(X0) & kind(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | funny(X0)) => (~quiet(X0) | ~kind(X0))) [input p2]
5. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> wise(X0)) [... | 0 |
Everyone who is humble is not creative or calm and vice versa. Everyone who is either not happy or not rich is not happy or not generous and vice versa. Everyone who is either not funny or patient is not quiet or not rich. Everyone who is both generous and strong is curious and vice versa. Everyone who is not calm or n... | Fred is not curious. | neutral | (![X]:(humble(X)<=>(~creative(X)|calm(X))))&
(![X]:((~happy(X)<~>~rich(X))<=>(~happy(X)|~generous(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~quiet(X)|~rich(X))))&
(![X]:((generous(X)&strong(X))<=>curious(X)))&
(![X]:((~calm(X)|~funny(X))=>(~quiet(X)&~wise(X))))&
((~humble(paul))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(... | ~curious(fred) | [] | null | 0 |
Everyone who is not patient is strong and vice versa.
Everyone who is not strong or strong is both not patient and not wise.
Everyone who is old or not tall is not rich or patient and vice versa.
Everyone who is either rich or not rich is not humble or patient.
If mary is not funny or brave then john is both not kind a... | Mary is not curious. | contradiction | (![X]:(~patient(X)<=>strong(X)))&
(![X]:((~strong(X)|strong(X))=>(~patient(X)&~wise(X))))&
(![X]:((old(X)|~tall(X))<=>(~rich(X)|patient(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~humble(X)|patient(X))))&
(((~funny(mary)|brave(mary)))=>((~kind(john)&happy(john))))&
((kind(lucy))=>(?[X]:((~calm(X)|~old(X)))))&
(((~wise(susan)... | ~curious(mary) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 486951492098495095625111
% SZS output start Proof for 486951492098495095625111
1. ! [X0] : (~patient(X0) <=> strong(X0)) [input p0]
2. ! [X0] : ((strong(X0) | ~strong(X0)) => (~wise(X0) & ~patient(X0))) [input p1]
13. ! [X0] : ((~curious(X0) | ~generous(X0)) => ~strong(X0)) [input p12]
23... | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is either patient or generous then paul is quiet and vice versa.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is funny is both r... | Paul is curious. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((patient(X)<~>generous(X))))<=>(quiet(paul)))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~stro... | curious(paul) | [
"p0",
"p1",
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7768174329440514032950935
% SZS output start Proof for 7768174329440514032950935
1. ! [X0] : ((kind(X0) | curious(X0)) => (~brave(X0) & curious(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
3. ? [X0] : (patient(X0) <~> generous(X0)) <=> quiet(paul) [inpu... | 0 |
Everyone who is creative is both rich and not patient and vice versa.
Everyone who is either not calm or not kind is either kind or not happy.
If alice is both curious and humble then alice is not quiet.
If someone is humble then someone is brave or not humble.
Everyone who is not humble or wise is not calm and vice ve... | Mary is curious. | neutral | (![X]:(creative(X)<=>(rich(X)&~patient(X))))&
(![X]:((~calm(X)<~>~kind(X))=>(kind(X)<~>~happy(X))))&
(((curious(alice)&humble(alice)))=>(~quiet(alice)))&
((?[X]:(humble(X)))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((~humble(X)|wise(X))<=>~calm(X)))&
(![X]:((~humble(X)<~>~tall(X))=>~old(X)))&
(((tall(alice)|~happy(alice... | curious(mary) | [] | null | 0 |
If mary is not generous then paul is both not rich and wise and vice versa. If susan is both not curious and patient then someone is not strong or funny. Everyone who is either not old or not creative is both wise and tall. Everyone who is either not rich or not happy is both curious and generous and vice versa. If som... | John is strong. | neutral | ((~generous(mary))<=>((~rich(paul)&wise(paul))))&
(((~curious(susan)&patient(susan)))=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~old(X)<~>~creative(X))=>(wise(X)&tall(X))))&
(![X]:((~rich(X)<~>~happy(X))<=>(curious(X)&generous(X))))&
((?[X]:((~happy(X)|~kind(X))))<=>((happy(john)|generous(john))))&
((?[X]:((~curious(X)... | strong(john) | [] | null | 0 |
Everyone who is either not old or strong is not creative and vice versa.
Everyone who is either calm or not humble is patient or not humble and vice versa.
If someone is not quiet or strong then someone is either happy or humble and vice versa.
Everyone who is either not calm or old is either creative or kind and vice ... | Mary is not quiet. | contradiction | (![X]:((~old(X)<~>strong(X))<=>~creative(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(patient(X)|~humble(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((happy(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>old(X))<=>(creative(X)<~>kind(X))))&
(((rich(susan)|~wise(susan)))<=>((strong(alice)&~wise(alice))))&
(![X]:((~humble(X)|~brave... | ~quiet(mary) | [
"p5",
"p7",
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 762626750496935243942242
% SZS output start Proof for 762626750496935243942242
6. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~generous(X0) & brave(X0))) [input p7]
10. ~generous(john) <=> ? [X0] : (~quiet(X0) & strong(X0)) ... | 0 |
Everyone who is not funny is either wise or not brave and vice versa.
If john is strong then someone is patient or not happy and vice versa.
Everyone who is either not old or not rich is not old or not wise.
Everyone who is not strong or not patient is not patient and vice versa.
If someone is wise or creative then som... | Mary is not creative. | contradiction | (![X]:(~funny(X)<=>(wise(X)<~>~brave(X))))&
((strong(john))<=>(?[X]:((patient(X)|~happy(X)))))&
(![X]:((~old(X)<~>~rich(X))=>(~old(X)|~wise(X))))&
(![X]:((~strong(X)|~patient(X))<=>~patient(X)))&
((?[X]:((wise(X)|creative(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(tall(X)<=>(~humble(X)<~>~rich(X))))&
(((~quiet(paul)<~>~genero... | ~creative(mary) | [
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2681765998519083056165447
% SZS output start Proof for 2681765998519083056165447
10. ? [X0] : (~kind(X0) | rich(X0)) => ? [X0] : ~calm(X0) [input p9]
11. ? [X0] : (~calm(X0) | brave(X0)) <=> (calm(mary) & creative(mary)) [input p10]
20. ? [X0] : (rich(X0) & generous(X0)) [input p19]
25. ~... | 0 |
If someone is not quiet then alice is quiet or not strong and vice versa.
Everyone who is not curious is both quiet and creative and vice versa.
Everyone who is both happy and not generous is not strong.
If someone is not tall then fred is either not humble or generous and vice versa.
Everyone who is creative is either... | Susan is not brave. | entailment | ((?[X]:(~quiet(X)))<=>((quiet(alice)|~strong(alice))))&
(![X]:(~curious(X)<=>(quiet(X)&creative(X))))&
(![X]:((happy(X)&~generous(X))=>~strong(X)))&
((?[X]:(~tall(X)))<=>((~humble(fred)<~>generous(fred))))&
(![X]:(creative(X)<=>(rich(X)<~>wise(X))))&
(((patient(john)&rich(john)))=>(?[X]:((~strong(X)|generous(X)))))&
(!... | ~brave(susan) | [
"p1",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4495563188620042204752762
% SZS output start Proof for 4495563188620042204752762
2. ! [X0] : (~curious(X0) <=> (creative(X0) & quiet(X0))) [input p1]
15. ! [X0] : ((tall(X0) & quiet(X0)) <=> (~tall(X0) <~> ~creative(X0))) [input p14]
16. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (~creativ... | 0 |
Everyone who is not creative or strong is not generous and vice versa.
Everyone who is quiet or creative is quiet.
Everyone who is brave or not tall is not generous or not curious.
If someone is brave or patient then someone is both rich and curious and vice versa.
Everyone who is strong is not happy or not calm and vi... | Fred is not curious. | neutral | (![X]:((~creative(X)|strong(X))<=>~generous(X)))&
(![X]:((quiet(X)|creative(X))=>quiet(X)))&
(![X]:((brave(X)|~tall(X))=>(~generous(X)|~curious(X))))&
((?[X]:((brave(X)|patient(X))))<=>(?[X]:((rich(X)&curious(X)))))&
(![X]:(strong(X)<=>(~happy(X)|~calm(X))))&
(![X]:((humble(X)&~tall(X))=>(~calm(X)&calm(X))))&
((?[X]:((... | ~curious(fred) | [] | null | 0 |
Everyone who is generous is both not calm and not rich. If john is either not creative or calm then someone is not strong. Everyone who is both not old and not creative is both brave and not strong. If someone is either happy or generous then lucy is either funny or not creative. If someone is both not tall and calm th... | Mary is curious. | contradiction | (![X]:(generous(X)=>(~calm(X)&~rich(X))))&
(((~creative(john)<~>calm(john)))=>(?[X]:(~strong(X))))&
(![X]:((~old(X)&~creative(X))=>(brave(X)&~strong(X))))&
((?[X]:((happy(X)<~>generous(X))))=>((funny(lucy)<~>~creative(lucy))))&
((?[X]:((~tall(X)&calm(X))))=>(curious(mary)))&
((~creative(lucy))<=>(quiet(john)))&
(![X]:(... | curious(mary) | [
"p6",
"p8",
"p11",
"p12",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5287255189727831915179411
% SZS output start Proof for 5287255189727831915179411
7. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (rich(X0) | ~curious(X0))) [input p6]
9. ! [X0] : ((~funny(X0) | ~old(X0)) => (wise(X0) & funny(X0))) [input p8]
12. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (curio... | 0 |
If susan is not tall then someone is both kind and brave and vice versa. Everyone who is strong or kind is kind and vice versa. If john is both not wise and not strong then someone is either not funny or calm. Everyone who is not funny or not rich is either kind or not creative and vice versa. If lucy is both calm and ... | Lucy is not curious. | entailment | ((~tall(susan))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:((strong(X)|kind(X))<=>kind(X)))&
(((~wise(john)&~strong(john)))=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((~funny(X)|~rich(X))<=>(kind(X)<~>~creative(X))))&
(((calm(lucy)&~kind(lucy)))<=>((tall(john)<~>curious(john))))&
(![X]:(~quiet(X)=>(curious(X)|kind(X))))&
(![X... | ~curious(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5344607741569317657734983
% SZS output start Proof for 5344607741569317657734983
14. ! [X0] : (~curious(X0) <=> (~generous(X0) | curious(X0))) [input p13]
24. curious(lucy) [input hypothesis]
59. ! [X0] : ((~curious(X0) | (generous(X0) & ~curious(X0))) & ((~generous(X0) | curious(X0)) | c... | 0 |
Everyone who is either brave or not rich is either not generous or wise and vice versa.
If john is not wise or not quiet then john is either not kind or not strong.
Everyone who is kind or not curious is either calm or not calm and vice versa.
If someone is not funny or humble then someone is not generous.
Everyone who... | Fred is not brave. | entailment | (![X]:((brave(X)<~>~rich(X))<=>(~generous(X)<~>wise(X))))&
(((~wise(john)|~quiet(john)))=>((~kind(john)<~>~strong(john))))&
(![X]:((kind(X)|~curious(X))<=>(calm(X)<~>~calm(X))))&
((?[X]:((~funny(X)|humble(X))))=>(?[X]:(~generous(X))))&
(![X]:((strong(X)|~humble(X))<=>(~quiet(X)|~generous(X))))&
(![X]:(~tall(X)=>(patien... | ~brave(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1593696875044450531241776
% SZS output start Proof for 1593696875044450531241776
23. ~brave(fred) [input p22]
25. brave(fred) [input hypothesis]
143. ~brave(fred) [cnf transformation 23]
145. brave(fred) [cnf transformation 25]
325. $false [subsumption resolution 145,143]
% SZS output end... | 0 |
Everyone who is both not calm and not humble is quiet. If someone is humble or not happy then someone is either not quiet or wise. If someone is creative then mary is strong or quiet. Everyone who is funny or not wise is happy or not kind. If someone is both not happy and wise then paul is rich or funny and vice versa.... | Paul is wise. | entailment | (![X]:((~calm(X)&~humble(X))=>quiet(X)))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:((~quiet(X)<~>wise(X)))))&
((?[X]:(creative(X)))=>((strong(mary)|quiet(mary))))&
(![X]:((funny(X)|~wise(X))=>(happy(X)|~kind(X))))&
((?[X]:((~happy(X)&wise(X))))<=>((rich(paul)|funny(paul))))&
(![X]:((tall(X)&funny(X))<=>(~generous(X)&pati... | wise(paul) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 109330837820241585838566
% SZS output start Proof for 109330837820241585838566
8. ! [X0] : ((~brave(X0) | humble(X0)) => (wise(X0) & quiet(X0))) [input p7]
16. ! [X0] : ((humble(X0) & rich(X0)) <=> (~wise(X0) | brave(X0))) [input p15]
21. ~wise(paul) [input hypothesis]
33. ! [X0] : ((wise... | 0 |
Everyone who is kind or tall is both not rich and kind.
Everyone who is rich is both old and not generous and vice versa.
Everyone who is not old or kind is either patient or not rich.
Everyone who is not strong or not kind is both not strong and quiet and vice versa.
Everyone who is kind is patient.
If lucy is calm or... | Lucy is generous. | entailment | (![X]:((kind(X)|tall(X))=>(~rich(X)&kind(X))))&
(![X]:(rich(X)<=>(old(X)&~generous(X))))&
(![X]:((~old(X)|kind(X))=>(patient(X)<~>~rich(X))))&
(![X]:((~strong(X)|~kind(X))<=>(~strong(X)&quiet(X))))&
(![X]:(kind(X)=>patient(X)))&
(((calm(lucy)|~happy(lucy)))=>((~strong(alice)|rich(alice))))&
(![X]:((~wise(X)|patient(X))... | generous(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 289062439198750606766268
% SZS output start Proof for 289062439198750606766268
1. ! [X0] : ((tall(X0) | kind(X0)) => (kind(X0) & ~rich(X0))) [input p0]
3. ! [X0] : ((kind(X0) | ~old(X0)) => (patient(X0) <~> ~rich(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (quiet(X0) & ~st... | 0 |
If someone is not brave then someone is not funny or brave and vice versa. Everyone who is either not rich or creative is not generous. If someone is not tall then someone is both not wise and humble and vice versa. Everyone who is not creative is not brave or funny and vice versa. Everyone who is either kind or quiet ... | Paul is not humble. | contradiction | ((?[X]:(~brave(X)))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~rich(X)<~>creative(X))=>~generous(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:(~creative(X)<=>(~brave(X)|funny(X))))&
(![X]:((kind(X)<~>quiet(X))<=>(~brave(X)|quiet(X))))&
(![X]:((~happy(X)&~old(X))=>~happy(X)))&
(![X]:((~brave(X)&~stro... | ~humble(paul) | [
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9029817574066323801363953
% SZS output start Proof for 9029817574066323801363953
4. ! [X0] : (~creative(X0) <=> (funny(X0) | ~brave(X0))) [input p3]
11. ! [X0] : (funny(X0) => creative(X0)) [input p10]
15. ! [X0] : ((~brave(X0) | creative(X0)) => (funny(X0) | humble(X0))) [input p14]
25. ... | 0 |
If someone is either calm or not calm then susan is not generous or strong.
Everyone who is creative or kind is either old or not rich and vice versa.
Everyone who is both strong and not old is both not quiet and creative.
Everyone who is both creative and not tall is either not quiet or funny.
Everyone who is both fun... | Susan is kind. | neutral | ((?[X]:((calm(X)<~>~calm(X))))=>((~generous(susan)|strong(susan))))&
(![X]:((creative(X)|kind(X))<=>(old(X)<~>~rich(X))))&
(![X]:((strong(X)&~old(X))=>(~quiet(X)&creative(X))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((funny(X)&strong(X))<=>old(X)))&
(![X]:((strong(X)&~creative(X))<=>(~kind(X)<~... | kind(susan) | [] | null | 0 |
If susan is either generous or patient then john is either not patient or strong. Everyone who is not humble is not old. If someone is curious or not strong then john is either creative or old and vice versa. Everyone who is either old or not generous is either not tall or not quiet and vice versa. Everyone who is both... | John is not old. | entailment | (((generous(susan)<~>patient(susan)))=>((~patient(john)<~>strong(john))))&
(![X]:(~humble(X)=>~old(X)))&
((?[X]:((curious(X)|~strong(X))))<=>((creative(john)<~>old(john))))&
(![X]:((old(X)<~>~generous(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:((brave(X)&rich(X))=>(~creative(X)<~>~old(X))))&
(![X]:((~patient(X)|~rich(X))=>(... | ~old(john) | [
"p1",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 835821644327052039944110
% SZS output start Proof for 835821644327052039944110
2. ! [X0] : (~humble(X0) => ~old(X0)) [input p1]
8. ! [X0] : ((~wise(X0) | humble(X0)) => wise(X0)) [input p7]
15. ! [X0] : ((wise(X0) | ~tall(X0)) <=> (~humble(X0) <~> ~old(X0))) [input p14]
24. old(john) [inp... | 0 |
If lucy is kind then someone is not funny or not curious.
If someone is either old or rich then fred is old or brave and vice versa.
If someone is not funny then someone is either not calm or tall.
Everyone who is either generous or not strong is not wise or not funny and vice versa.
If someone is both strong and creat... | Lucy is tall. | neutral | ((kind(lucy))=>(?[X]:((~funny(X)|~curious(X)))))&
((?[X]:((old(X)<~>rich(X))))<=>((old(fred)|brave(fred))))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((generous(X)<~>~strong(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((strong(X)&creative(X))))<=>(~calm(fred)))&
((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~ki... | tall(lucy) | [] | null | 0 |
If susan is either not calm or calm then fred is rich and vice versa.
If someone is not tall then someone is not wise or quiet and vice versa.
Everyone who is not brave or creative is not old or generous.
Everyone who is both humble and patient is either happy or generous.
Everyone who is either quiet or not quiet is n... | Alice is generous. | contradiction | (((~calm(susan)<~>calm(susan)))<=>(rich(fred)))&
((?[X]:(~tall(X)))<=>(?[X]:((~wise(X)|quiet(X)))))&
(![X]:((~brave(X)|creative(X))=>(~old(X)|generous(X))))&
(![X]:((humble(X)&patient(X))=>(happy(X)<~>generous(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>~generous(X)))&
((?[X]:((~happy(X)<~>~brave(X))))<=>(?[X]:((~happy(X)|pa... | generous(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5567431240923736281601250
% SZS output start Proof for 5567431240923736281601250
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => ~generous(X0)) [input p4]
25. generous(alice) [input hypothesis]
33. ! [X0] : (~generous(X0) | (quiet(X0) <=> ~quiet(X0))) [ennf transformation 5]
48. ! [X0] : (~gen... | 0 |
Everyone who is not curious or generous is both funny and not generous.
If mary is either creative or not funny then fred is not strong or not calm and vice versa.
Everyone who is not happy is both creative and not tall and vice versa.
Everyone who is not quiet is either not patient or kind.
If someone is both not crea... | Paul is not creative. | contradiction | (![X]:((~curious(X)|generous(X))=>(funny(X)&~generous(X))))&
(((creative(mary)<~>~funny(mary)))<=>((~strong(fred)|~calm(fred))))&
(![X]:(~happy(X)<=>(creative(X)&~tall(X))))&
(![X]:(~quiet(X)=>(~patient(X)<~>kind(X))))&
((?[X]:((~creative(X)&wise(X))))<=>(?[X]:((generous(X)<~>~happy(X)))))&
(![X]:((~patient(X)<~>calm(X... | ~creative(paul) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"p11",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1624743345005439865161995
% SZS output start Proof for 1624743345005439865161995
1. ! [X0] : ((generous(X0) | ~curious(X0)) => (~generous(X0) & funny(X0))) [input p0]
3. ! [X0] : (~happy(X0) <=> (~tall(X0) & creative(X0))) [input p2]
6. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> creative(X... | 0 |
If someone is both not calm and funny then someone is either strong or tall. If alice is not funny or not quiet then mary is either tall or strong. If someone is brave then paul is either rich or strong and vice versa. If someone is either funny or not quiet then john is either not humble or not generous. Everyone who ... | John is funny. | entailment | ((?[X]:((~calm(X)&funny(X))))=>(?[X]:((strong(X)<~>tall(X)))))&
(((~funny(alice)|~quiet(alice)))=>((tall(mary)<~>strong(mary))))&
((?[X]:(brave(X)))<=>((rich(paul)<~>strong(paul))))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~humble(john)<~>~generous(john))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)&generous(X))))&
(![X]:((~ca... | funny(john) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6260775892029625506106130
% SZS output start Proof for 6260775892029625506106130
5. ! [X0] : ((strong(X0) | ~wise(X0)) => (generous(X0) & calm(X0))) [input p4]
7. ! [X0] : ((~kind(X0) <~> tall(X0)) => (old(X0) <~> ~wise(X0))) [input p6]
8. ! [X0] : ((patient(X0) | ~strong(X0)) => (~old(X0... | 0 |
If alice is not rich or tall then someone is not brave and vice versa. Everyone who is either not old or not rich is both brave and not rich and vice versa. Everyone who is both curious and not kind is both not calm and not happy and vice versa. Everyone who is rich or curious is not tall or wise and vice versa. If som... | Mary is not funny. | neutral | (((~rich(alice)|tall(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(brave(X)&~rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(~calm(X)&~happy(X))))&
(![X]:((rich(X)|curious(X))<=>(~tall(X)|wise(X))))&
((?[X]:((happy(X)|tall(X))))<=>(rich(alice)))&
((?[X]:((calm(X)&old(X))))=>(?[X]:(patient(X))))&
(((wise(ma... | ~funny(mary) | [] | null | 0 |
Everyone who is not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is ei... | John is curious. | neutral | (![X]:(~wise(X)<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~... | curious(john) | [] | null | 0 |
Everyone who is not creative is not creative or not quiet. If alice is not humble then someone is both rich and tall. Everyone who is patient or creative is either not quiet or rich and vice versa. Everyone who is quiet is calm or not tall. Everyone who is humble or not patient is not strong or not kind and vice versa.... | Alice is not brave. | neutral | (![X]:(~creative(X)=>(~creative(X)|~quiet(X))))&
((~humble(alice))=>(?[X]:((rich(X)&tall(X)))))&
(![X]:((patient(X)|creative(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:(quiet(X)=>(calm(X)|~tall(X))))&
(![X]:((humble(X)|~patient(X))<=>(~strong(X)|~kind(X))))&
(((~quiet(alice)|patient(alice)))=>(creative(lucy)))&
((?[X]:((~cal... | ~brave(alice) | [] | null | 0 |
If susan is either not calm or not brave then someone is not creative. If john is not quiet or quiet then mary is rich or not humble and vice versa. Everyone who is both generous and humble is either quiet or wise and vice versa. If someone is humble then john is either not old or not strong. Everyone who is both brave... | Paul is not kind. | entailment | (((~calm(susan)<~>~brave(susan)))=>(?[X]:(~creative(X))))&
(((~quiet(john)|quiet(john)))<=>((rich(mary)|~humble(mary))))&
(![X]:((generous(X)&humble(X))<=>(quiet(X)<~>wise(X))))&
((?[X]:(humble(X)))=>((~old(john)<~>~strong(john))))&
(![X]:((brave(X)&~patient(X))<=>(humble(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>quiet... | ~kind(paul) | [
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6834171813252829027182968
% SZS output start Proof for 6834171813252829027182968
6. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (~humble(X0) & ~quiet(X0))) [input p5]
11. ? [X0] : (~rich(X0) | funny(X0)) => (quiet(john) <~> old(john)) [input p10]
14. (~old(john) & kind(john)) <=> ? [X0] : ki... | 0 |
Everyone who is either not creative or not quiet is either not creative or not happy.
If mary is both creative and tall then someone is not old and vice versa.
If susan is wise then someone is both not humble and brave.
If someone is generous or not happy then alice is both generous and kind.
If someone is humble then ... | Alice is not kind. | contradiction | (![X]:((~creative(X)<~>~quiet(X))=>(~creative(X)<~>~happy(X))))&
(((creative(mary)&tall(mary)))<=>(?[X]:(~old(X))))&
((wise(susan))=>(?[X]:((~humble(X)&brave(X)))))&
((?[X]:((generous(X)|~happy(X))))=>((generous(alice)&kind(alice))))&
((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~old(X)))))&
(![X]:((~generous(X)<~>gener... | ~kind(alice) | [
"p5",
"p6",
"p8",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7998854124789076615629023
% SZS output start Proof for 7998854124789076615629023
6. ! [X0] : ((~generous(X0) <~> generous(X0)) => (tall(X0) & ~patient(X0))) [input p5]
7. ? [X0] : ~rich(X0) <=> (~quiet(alice) <~> generous(alice)) [input p6]
9. (~curious(fred) & curious(fred)) <=> ? [X0] :... | 0 |
Everyone who is either kind or happy is either not humble or wise.
If someone is not funny then mary is not patient and vice versa.
Everyone who is both generous and wise is both tall and patient.
Everyone who is funny or not quiet is both not patient and not curious and vice versa.
If someone is both strong and humble... | Lucy is not kind. | entailment | (![X]:((kind(X)<~>happy(X))=>(~humble(X)<~>wise(X))))&
((?[X]:(~funny(X)))<=>(~patient(mary)))&
(![X]:((generous(X)&wise(X))=>(tall(X)&patient(X))))&
(![X]:((funny(X)|~quiet(X))<=>(~patient(X)&~curious(X))))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~wise(X)&~calm(X)))))&
((generous(mary))=>((~calm(fred)&tall(fred))))&... | ~kind(lucy) | [
"p3",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2914153764274655067697235
% SZS output start Proof for 2914153764274655067697235
4. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (~curious(X0) & ~patient(X0))) [input p3]
7. ! [X0] : ((curious(X0) <~> creative(X0)) <=> (generous(X0) & funny(X0))) [input p6]
8. ! [X0] : ((kind(X0) | ~tall(X0)) <... | 0 |
Everyone who is brave or not strong is both not patient and funny. If mary is not kind then susan is not curious. If susan is wise or not generous then someone is not patient. If someone is either happy or humble then someone is happy or not quiet and vice versa. If someone is either not strong or not quiet then someon... | Lucy is not curious. | neutral | (![X]:((brave(X)|~strong(X))=>(~patient(X)&funny(X))))&
((~kind(mary))=>(~curious(susan)))&
(((wise(susan)|~generous(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((happy(X)<~>humble(X))))<=>(?[X]:((happy(X)|~quiet(X)))))&
((?[X]:((~strong(X)<~>~quiet(X))))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~bra... | ~curious(lucy) | [] | null | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Paul is generous. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | generous(paul) | [] | null | 0 |
Everyone who is happy or brave is humble or kind.
If john is generous or not rich then john is not old and vice versa.
Everyone who is both not funny and tall is not curious and vice versa.
Everyone who is both not generous and not tall is either funny or not wise and vice versa.
Everyone who is both brave and not calm... | Susan is not rich. | entailment | (![X]:((happy(X)|brave(X))=>(humble(X)|kind(X))))&
(((generous(john)|~rich(john)))<=>(~old(john)))&
(![X]:((~funny(X)&tall(X))<=>~curious(X)))&
(![X]:((~generous(X)&~tall(X))<=>(funny(X)<~>~wise(X))))&
(![X]:((brave(X)&~calm(X))<=>(~calm(X)|wise(X))))&
(![X]:((~creative(X)|~curious(X))<=>~rich(X)))&
(![X]:((~brave(X)<~... | ~rich(susan) | [
"p4",
"p5",
"p8",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 843887862144930921128200
% SZS output start Proof for 843887862144930921128200
5. ! [X0] : ((~calm(X0) & brave(X0)) <=> (wise(X0) | ~calm(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~creative(X0)) <=> ~rich(X0)) [input p5]
9. ! [X0] : ((old(X0) & strong(X0)) <=> (wise(X0) <~> ~quiet(X0)... | 0 |
If someone is not strong or not patient then someone is either creative or humble and vice versa. If someone is either not kind or not creative then someone is both not old and strong. If fred is not brave or not strong then someone is either not funny or not rich. Everyone who is not calm or brave is either not patien... | Lucy is creative. | entailment | ((?[X]:((~strong(X)|~patient(X))))<=>(?[X]:((creative(X)<~>humble(X)))))&
((?[X]:((~kind(X)<~>~creative(X))))=>(?[X]:((~old(X)&strong(X)))))&
(((~brave(fred)|~strong(fred)))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(![X]:((~calm(X)|brave(X))<=>(~patient(X)<~>tall(X))))&
((?[X]:((curious(X)|~calm(X))))=>(kind(john)))&
(![X]:(... | creative(lucy) | [
"p1",
"p7",
"p10",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4242721461786346286679890
% SZS output start Proof for 4242721461786346286679890
2. ? [X0] : (~kind(X0) <~> ~creative(X0)) => ? [X0] : (strong(X0) & ~old(X0)) [input p1]
8. ! [X0] : ((happy(X0) | ~patient(X0)) <=> rich(X0)) [input p7]
11. ? [X0] : (~happy(X0) & ~tall(X0)) => ~creative(fre... | 0 |
If john is not happy then alice is both kind and brave and vice versa.
If someone is either rich or strong then fred is either rich or wise.
Everyone who is kind is both funny and not kind and vice versa.
If someone is not old then someone is either not quiet or tall.
Everyone who is tall is not generous and vice versa... | Alice is brave. | contradiction | ((~happy(john))<=>((kind(alice)&brave(alice))))&
((?[X]:((rich(X)<~>strong(X))))=>((rich(fred)<~>wise(fred))))&
(![X]:(kind(X)<=>(funny(X)&~kind(X))))&
((?[X]:(~old(X)))=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(~quiet(X)=>(wise(X)|calm(X))))&
((?[X]:((rich(X)|~generous(X))))<=>(?[X]:((~... | brave(alice) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3399216790226396284262785
% SZS output start Proof for 3399216790226396284262785
3. ! [X0] : (kind(X0) <=> (~kind(X0) & funny(X0))) [input p2]
10. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> (~brave(X0) & ~curious(X0))) [input p9]
24. brave(alice) [input hypothesis]
37. ! [X0] : ((kind(X0) | ... | 0 |
Everyone who is strong is quiet and vice versa.
Everyone who is both not happy and strong is generous and vice versa.
Everyone who is not funny is not wise or not calm.
Everyone who is not humble is both not curious and not patient and vice versa.
Everyone who is not creative is both not tall and not calm and vice vers... | Mary is not calm. | entailment | (![X]:(strong(X)<=>quiet(X)))&
(![X]:((~happy(X)&strong(X))<=>generous(X)))&
(![X]:(~funny(X)=>(~wise(X)|~calm(X))))&
(![X]:(~humble(X)<=>(~curious(X)&~patient(X))))&
(![X]:(~creative(X)<=>(~tall(X)&~calm(X))))&
(((~happy(john)|~patient(john)))<=>((generous(mary)|creative(mary))))&
(((~tall(alice)<~>funny(alice)))=>(?[... | ~calm(mary) | [
"p2",
"p4",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8969887756760520046931192
% SZS output start Proof for 8969887756760520046931192
3. ! [X0] : (~funny(X0) => (~calm(X0) | ~wise(X0))) [input p2]
5. ! [X0] : (~creative(X0) <=> (~calm(X0) & ~tall(X0))) [input p4]
9. ! [X0] : ((brave(X0) | ~wise(X0)) => (humble(X0) | ~tall(X0))) [input p8]
1... | 0 |
Everyone who is either not quiet or not old is not tall or funny and vice versa. If paul is not kind or not brave then paul is not wise and vice versa. If someone is not strong or wise then lucy is both not calm and creative. Everyone who is either creative or funny is either not rich or brave. Everyone who is not gene... | John is not wise. | entailment | (![X]:((~quiet(X)<~>~old(X))<=>(~tall(X)|funny(X))))&
(((~kind(paul)|~brave(paul)))<=>(~wise(paul)))&
((?[X]:((~strong(X)|wise(X))))=>((~calm(lucy)&creative(lucy))))&
(![X]:((creative(X)<~>funny(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~generous(X)|old(X))<=>(strong(X)&kind(X))))&
((?[X]:((~curious(X)|~calm(X))))=>(?[X]:(... | ~wise(john) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3263721867498299851506608
% SZS output start Proof for 3263721867498299851506608
1. ! [X0] : ((~quiet(X0) <~> ~old(X0)) <=> (funny(X0) | ~tall(X0))) [input p0]
3. ? [X0] : (wise(X0) | ~strong(X0)) => (creative(lucy) & ~calm(lucy)) [input p2]
5. ! [X0] : ((old(X0) | ~generous(X0)) <=> (kin... | 0 |
Everyone who is not creative or not tall is old. If someone is either curious or not old then lucy is both creative and brave and vice versa. Everyone who is wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Everyone who is funny or old is wise or not rich. Everyone who is both... | Fred is kind. | contradiction | (![X]:((~creative(X)|~tall(X))=>old(X)))&
((?[X]:((curious(X)<~>~old(X))))<=>((creative(lucy)&brave(lucy))))&
(![X]:(wise(X)=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(X))<=>(~creative(X)&quiet(X))))&
(![X]:(calm(... | kind(fred) | [
"p0",
"p3",
"p4",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4396442541195685561770304
% SZS output start Proof for 4396442541195685561770304
1. ! [X0] : ((~tall(X0) | ~creative(X0)) => old(X0)) [input p0]
4. ! [X0] : ((~happy(X0) | old(X0)) => (~patient(X0) & tall(X0))) [input p3]
5. ! [X0] : ((old(X0) | funny(X0)) => (~rich(X0) | wise(X0))) [inpu... | 0 |
If lucy is either kind or rich then paul is not patient. If john is either not strong or kind then someone is not calm and vice versa. If someone is either wise or tall then fred is creative or not creative. Everyone who is brave is funny or happy and vice versa. Everyone who is not funny is both creative and not happy... | Susan is not kind. | contradiction | (((kind(lucy)<~>rich(lucy)))=>(~patient(paul)))&
(((~strong(john)<~>kind(john)))<=>(?[X]:(~calm(X))))&
((?[X]:((wise(X)<~>tall(X))))=>((creative(fred)|~creative(fred))))&
(![X]:(brave(X)<=>(funny(X)|happy(X))))&
(![X]:(~funny(X)<=>(creative(X)&~happy(X))))&
(![X]:((~old(X)|humble(X))<=>(curious(X)<~>~tall(X))))&
((?[X]... | ~kind(susan) | [
"p3",
"p4",
"p6",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1591645242385451122971112
% SZS output start Proof for 1591645242385451122971112
4. ! [X0] : (brave(X0) <=> (happy(X0) | funny(X0))) [input p3]
5. ! [X0] : (~funny(X0) <=> (~happy(X0) & creative(X0))) [input p4]
7. ? [X0] : (~kind(X0) & funny(X0)) <=> (calm(fred) & ~creative(fred)) [input... | 0 |
If someone is generous then someone is patient.
Everyone who is not happy or kind is happy or not tall and vice versa.
Everyone who is strong is both curious and not strong and vice versa.
If john is both not quiet and happy then someone is not tall.
Everyone who is either not happy or quiet is not brave.
Everyone who ... | Alice is tall. | contradiction | ((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((~happy(X)|kind(X))<=>(happy(X)|~tall(X))))&
(![X]:(strong(X)<=>(curious(X)&~strong(X))))&
(((~quiet(john)&happy(john)))=>(?[X]:(~tall(X))))&
(![X]:((~happy(X)<~>quiet(X))=>~brave(X)))&
(![X]:((brave(X)<~>~creative(X))=>happy(X)))&
((?[X]:((~old(X)&~quiet(X))))=>(?[X]... | tall(alice) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2690044392486881501201814
% SZS output start Proof for 2690044392486881501201814
2. ! [X0] : ((kind(X0) | ~happy(X0)) <=> (~tall(X0) | happy(X0))) [input p1]
8. ? [X0] : (~calm(X0) | calm(X0)) <=> ~happy(alice) [input p7]
12. ! [X0] : (~calm(X0) <=> (funny(X0) & calm(X0))) [input p11]
22.... | 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... | Alice 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(alice) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8529099833154056968585413
% SZS output start Proof for 8529099833154056968585413
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 old is both not calm and old and vice versa. If someone is both funny and quiet then john is creative or not curious. If someone is both happy and not calm then someone is not quiet or patient. Everyone who is not quiet is tall or old and vice versa. Everyone who is calm or not tall is either not curiou... | Mary is calm. | neutral | (![X]:(old(X)<=>(~calm(X)&old(X))))&
((?[X]:((funny(X)&quiet(X))))=>((creative(john)|~curious(john))))&
((?[X]:((happy(X)&~calm(X))))=>(?[X]:((~quiet(X)|patient(X)))))&
(![X]:(~quiet(X)<=>(tall(X)|old(X))))&
(![X]:((calm(X)|~tall(X))<=>(~curious(X)<~>kind(X))))&
((?[X]:((~rich(X)&humble(X))))=>(?[X]:(~calm(X))))&
(![X]... | calm(mary) | [] | null | 0 |
Everyone who is both funny and not wise is not curious or not old. Everyone who is rich is both not wise and not strong and vice versa. If someone is either generous or not wise then someone is tall and vice versa. If susan is not patient then lucy is either not strong or not happy. Everyone who is both rich and not fu... | Lucy is not humble. | entailment | (![X]:((funny(X)&~wise(X))=>(~curious(X)|~old(X))))&
(![X]:(rich(X)<=>(~wise(X)&~strong(X))))&
((?[X]:((generous(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((~patient(susan))=>((~strong(lucy)<~>~happy(lucy))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)|~rich(X))))&
((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((~wise(X)<~>curious(... | ~humble(lucy) | [
"p1",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4957897780056021923881179
% SZS output start Proof for 4957897780056021923881179
2. ! [X0] : (rich(X0) <=> (~strong(X0) & ~wise(X0))) [input p1]
5. ! [X0] : ((~funny(X0) & rich(X0)) <=> (~rich(X0) | rich(X0))) [input p4]
10. ? [X0] : (~wise(X0) <~> ~creative(X0)) <=> ? [X0] : humble(X0) [... | 0 |
Everyone who is either quiet or old is rich and vice versa. Everyone who is both calm and not brave is not generous or not old. If someone is not humble or happy then someone is either happy or not patient. If john is both not old and tall then paul is old and vice versa. Everyone who is both not old and not generous i... | Susan is not humble. | contradiction | (![X]:((quiet(X)<~>old(X))<=>rich(X)))&
(![X]:((calm(X)&~brave(X))=>(~generous(X)|~old(X))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((happy(X)<~>~patient(X)))))&
(((~old(john)&tall(john)))<=>(old(paul)))&
(![X]:((~old(X)&~generous(X))<=>(~calm(X)|calm(X))))&
(![X]:((creative(X)<~>~old(X))<=>(~humble(X)|strong(X))))&
(... | ~humble(susan) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2899320918950377046338747
% SZS output start Proof for 2899320918950377046338747
3. ? [X0] : (happy(X0) | ~humble(X0)) => ? [X0] : (happy(X0) <~> ~patient(X0)) [input p2]
8. ! [X0] : (rich(X0) <=> (rich(X0) <~> happy(X0))) [input p7]
13. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~patient(X0... | 0 |
If paul is both tall and generous then someone is not calm and vice versa. Everyone who is happy is not funny or not rich and vice versa. If someone is either not old or not funny then someone is calm or quiet. Everyone who is both not old and patient is both not kind and not wise and vice versa. Everyone who is not ri... | Paul is not curious. | neutral | (((tall(paul)&generous(paul)))<=>(?[X]:(~calm(X))))&
(![X]:(happy(X)<=>(~funny(X)|~rich(X))))&
((?[X]:((~old(X)<~>~funny(X))))=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:((~old(X)&patient(X))<=>(~kind(X)&~wise(X))))&
(![X]:(~rich(X)<=>(~wise(X)<~>~humble(X))))&
(((~rich(john)<~>~strong(john)))<=>(?[X]:((creative(X)<~>~wise(X... | ~curious(paul) | [] | null | 0 |
If someone is brave or not curious then someone is either creative or calm. Everyone who is patient is either curious or generous. Everyone who is not calm is not humble or strong. If fred is happy or not happy then paul is brave or generous and vice versa. If alice is not funny then someone is not old and vice versa. ... | Mary is wise. | contradiction | ((?[X]:((brave(X)|~curious(X))))=>(?[X]:((creative(X)<~>calm(X)))))&
(![X]:(patient(X)=>(curious(X)<~>generous(X))))&
(![X]:(~calm(X)=>(~humble(X)|strong(X))))&
(((happy(fred)|~happy(fred)))<=>((brave(paul)|generous(paul))))&
((~funny(alice))<=>(?[X]:(~old(X))))&
((?[X]:((~patient(X)&old(X))))=>((humble(mary)|calm(mary... | wise(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7514225817027896615258899
% SZS output start Proof for 7514225817027896615258899
10. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> ~wise(X0)) [input p9]
25. wise(mary) [input hypothesis]
66. ! [X0] : ((((~patient(X0) | patient(X0)) & (patient(X0) | ~patient(X0))) | wise(X0)) & (~wise(X0) |... | 0 |
If someone is not curious or happy then mary is not funny or not quiet and vice versa. Everyone who is not quiet is creative or happy and vice versa. Everyone who is brave or not creative is not humble and vice versa. Everyone who is both patient and not happy is calm or not funny. Everyone who is brave is either quiet... | Susan is not old. | neutral | ((?[X]:((~curious(X)|happy(X))))<=>((~funny(mary)|~quiet(mary))))&
(![X]:(~quiet(X)<=>(creative(X)|happy(X))))&
(![X]:((brave(X)|~creative(X))<=>~humble(X)))&
(![X]:((patient(X)&~happy(X))=>(calm(X)|~funny(X))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((... | ~old(susan) | [] | null | 0 |
Everyone who is either kind or happy is kind or generous.
If someone is happy then someone is either not funny or generous and vice versa.
If someone is wise or not tall then someone is wise.
If john is both old and not brave then someone is calm or funny.
If lucy is both old and not generous then susan is both not cre... | Alice is happy. | contradiction | (![X]:((kind(X)<~>happy(X))=>(kind(X)|generous(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~funny(X)<~>generous(X)))))&
((?[X]:((wise(X)|~tall(X))))=>(?[X]:(wise(X))))&
(((old(john)&~brave(john)))=>(?[X]:((calm(X)|funny(X)))))&
(((old(lucy)&~generous(lucy)))<=>((~creative(susan)&humble(susan))))&
(![X]:((~wise(X)&~calm(X))=>(~... | happy(alice) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4585730287115291489749320
% SZS output start Proof for 4585730287115291489749320
10. ! [X0] : ((rich(X0) | ~tall(X0)) => ~happy(X0)) [input p9]
21. ~tall(alice) & strong(alice) [input p20]
25. happy(alice) [input hypothesis]
39. ! [X0] : (~happy(X0) | (~rich(X0) & tall(X0))) [ennf transfo... | 0 |
If someone is not quiet then someone is either brave or not creative.
Everyone who is patient is not wise and vice versa.
Everyone who is either not brave or patient is not creative and vice versa.
If someone is both not generous and not curious then someone is not tall or not kind.
Everyone who is both calm and happy ... | Alice is creative. | contradiction | ((?[X]:(~quiet(X)))=>(?[X]:((brave(X)<~>~creative(X)))))&
(![X]:(patient(X)<=>~wise(X)))&
(![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((calm(X)&happy(X))<=>~curious(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~... | creative(alice) | [
"p2",
"p4",
"p5",
"p9",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7964934535731468377282808
% SZS output start Proof for 7964934535731468377282808
3. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((happy(X0) & calm(X0)) <=> ~curious(X0)) [input p4]
6. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> (~patient(X0) <~> ~quiet(X0)... | 0 |
Everyone who is not kind or creative is not humble or kind and vice versa.
Everyone who is either not happy or tall is not happy.
If someone is calm or not kind then someone is either creative or not strong.
Everyone who is calm or not funny is not brave or funny.
Everyone who is either quiet or not creative is patient... | Susan is rich. | entailment | (![X]:((~kind(X)|creative(X))<=>(~humble(X)|kind(X))))&
(![X]:((~happy(X)<~>tall(X))=>~happy(X)))&
((?[X]:((calm(X)|~kind(X))))=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((calm(X)|~funny(X))=>(~brave(X)|funny(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>(patient(X)|strong(X))))&
(![X]:(curious(X)=>(humble(X)|kind(X))))... | rich(susan) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3438496053955916869154740
% SZS output start Proof for 3438496053955916869154740
10. ! [X0] : ((~curious(X0) & old(X0)) <=> (~rich(X0) | happy(X0))) [input p9]
12. ! [X0] : ((~old(X0) <~> rich(X0)) <=> (~rich(X0) | ~kind(X0))) [input p11]
25. ~rich(susan) [input hypothesis]
54. ! [X0] : (... | 0 |
Everyone who is both tall and not kind is happy and vice versa.
If paul is funny or not brave then someone is not old and vice versa.
If someone is brave or not brave then someone is either strong or not calm.
If lucy is not brave or not wise then alice is either not old or not curious and vice versa.
Everyone who is p... | Alice is not creative. | neutral | (![X]:((tall(X)&~kind(X))<=>happy(X)))&
(((funny(paul)|~brave(paul)))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)|~brave(X))))=>(?[X]:((strong(X)<~>~calm(X)))))&
(((~brave(lucy)|~wise(lucy)))<=>((~old(alice)<~>~curious(alice))))&
(![X]:(patient(X)=>(~creative(X)|wise(X))))&
(((funny(alice)|~tall(alice)))=>(?[X]:((generous(X... | ~creative(alice) | [] | null | 0 |
Everyone who is not strong is patient. Everyone who is not wise or brave is not quiet. If someone is not generous then john is creative. Everyone who is either tall or rich is either not kind or not rich and vice versa. If someone is both funny and not old then paul is patient or not curious and vice versa. If lucy is ... | Fred is not strong. | neutral | (![X]:(~strong(X)=>patient(X)))&
(![X]:((~wise(X)|brave(X))=>~quiet(X)))&
((?[X]:(~generous(X)))=>(creative(john)))&
(![X]:((tall(X)<~>rich(X))<=>(~kind(X)<~>~rich(X))))&
((?[X]:((funny(X)&~old(X))))<=>((patient(paul)|~curious(paul))))&
(((rich(lucy)|~brave(lucy)))<=>(?[X]:((brave(X)|~kind(X)))))&
(![X]:((~humble(X)|qu... | ~strong(fred) | [] | null | 0 |
If someone is either not brave or old then fred is both not brave and not creative.
Everyone who is not rich is curious or not rich and vice versa.
If john is not tall then someone is both not tall and brave and vice versa.
Everyone who is either kind or not funny is humble.
If mary is either funny or creative then sus... | Mary is funny. | contradiction | ((?[X]:((~brave(X)<~>old(X))))=>((~brave(fred)&~creative(fred))))&
(![X]:(~rich(X)<=>(curious(X)|~rich(X))))&
((~tall(john))<=>(?[X]:((~tall(X)&brave(X)))))&
(![X]:((kind(X)<~>~funny(X))=>humble(X)))&
(((funny(mary)<~>creative(mary)))<=>(humble(susan)))&
(![X]:(~curious(X)<=>(curious(X)|creative(X))))&
(![X]:(old(X)=>~... | funny(mary) | [
"p0",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 957753570106757820522478
% SZS output start Proof for 957753570106757820522478
1. ? [X0] : (~brave(X0) <~> old(X0)) => (~creative(fred) & ~brave(fred)) [input p0]
6. ! [X0] : (~curious(X0) <=> (creative(X0) | curious(X0))) [input p5]
7. ! [X0] : (old(X0) => ~creative(X0)) [input p6]
14. !... | 0 |
If fred is rich or creative then fred is not kind and vice versa.
If someone is patient or not creative then lucy is both not generous and calm and vice versa.
Everyone who is either quiet or calm is not humble or creative and vice versa.
Everyone who is humble or patient is happy and vice versa.
If someone is either g... | John is patient. | contradiction | (((rich(fred)|creative(fred)))<=>(~kind(fred)))&
((?[X]:((patient(X)|~creative(X))))<=>((~generous(lucy)&calm(lucy))))&
(![X]:((quiet(X)<~>calm(X))<=>(~humble(X)|creative(X))))&
(![X]:((humble(X)|patient(X))<=>happy(X)))&
((?[X]:((generous(X)<~>calm(X))))=>(?[X]:(~kind(X))))&
((~tall(lucy))<=>((creative(john)|~happy(jo... | patient(john) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1923149526533394727661085
% SZS output start Proof for 1923149526533394727661085
2. ? [X0] : (~creative(X0) | patient(X0)) <=> (calm(lucy) & ~generous(lucy)) [input p1]
14. ! [X0] : (generous(X0) <=> (~patient(X0) | calm(X0))) [input p13]
24. patient(john) [input hypothesis]
38. (? [X0] :... | 0 |
Everyone who is either not generous or not tall is not wise or not generous and vice versa. If mary is both not patient and brave then fred is either not tall or tall. If someone is either not old or not happy then someone is both calm and old. Everyone who is old is strong. Everyone who is tall is both funny and not t... | Alice is not wise. | entailment | (![X]:((~generous(X)<~>~tall(X))<=>(~wise(X)|~generous(X))))&
(((~patient(mary)&brave(mary)))=>((~tall(fred)<~>tall(fred))))&
((?[X]:((~old(X)<~>~happy(X))))=>(?[X]:((calm(X)&old(X)))))&
(![X]:(old(X)=>strong(X)))&
(![X]:(tall(X)=>(funny(X)&~tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:((~patient(... | ~wise(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 189689329115017865959185
% SZS output start Proof for 189689329115017865959185
1. ! [X0] : ((~generous(X0) <~> ~tall(X0)) <=> (~generous(X0) | ~wise(X0))) [input p0]
5. ! [X0] : (tall(X0) => (~tall(X0) & funny(X0))) [input p4]
23. wise(alice) [input hypothesis]
32. ! [X0] : ((~tall(X0) & ... | 0 |
Everyone who is both tall and not rich is either not quiet or not funny and vice versa.
If someone is curious or not wise then john is both creative and not creative.
Everyone who is patient is creative or not quiet.
Everyone who is both not curious and tall is either creative or not quiet and vice versa.
If fred is fu... | Fred is old. | entailment | (![X]:((tall(X)&~rich(X))<=>(~quiet(X)<~>~funny(X))))&
((?[X]:((curious(X)|~wise(X))))=>((creative(john)&~creative(john))))&
(![X]:(patient(X)=>(creative(X)|~quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(creative(X)<~>~quiet(X))))&
((funny(fred))<=>((~curious(john)|rich(john))))&
(![X]:((~rich(X)&~happy(X))<=>~brave(X))... | old(fred) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 658451640197788013293435
% SZS output start Proof for 658451640197788013293435
2. ? [X0] : (~wise(X0) | curious(X0)) => (~creative(john) & creative(john)) [input p1]
16. ! [X0] : (wise(X0) <=> old(X0)) [input p15]
24. ~old(fred) [input hypothesis]
25. ! [X0] : (wise(X0) => old(X0)) [unuse... | 0 |
Everyone who is either not brave or old is both brave and not tall. If someone is either rich or not strong then someone is not creative or curious. Everyone who is not calm or funny is calm or creative and vice versa. Everyone who is either not brave or quiet is both old and not rich and vice versa. Everyone who is ei... | Lucy is not happy. | entailment | (![X]:((~brave(X)<~>old(X))=>(brave(X)&~tall(X))))&
((?[X]:((rich(X)<~>~strong(X))))=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((~calm(X)|funny(X))<=>(calm(X)|creative(X))))&
(![X]:((~brave(X)<~>quiet(X))<=>(old(X)&~rich(X))))&
(![X]:((calm(X)<~>~strong(X))<=>(~happy(X)&strong(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((o... | ~happy(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6352612520857900929662780
% SZS output start Proof for 6352612520857900929662780
9. (~happy(lucy) & ~rich(lucy)) <=> (~tall(mary) <~> tall(mary)) [input p8]
25. happy(lucy) [input hypothesis]
59. ((~happy(lucy) & ~rich(lucy)) | ((~tall(mary) | ~tall(mary)) & (tall(mary) | tall(mary)))) & ... | 0 |
Everyone who is not calm is not wise or not quiet.
If someone is not happy then someone is either tall or strong and vice versa.
Everyone who is either calm or creative is brave or strong.
Everyone who is curious or quiet is not brave.
If someone is creative or rich then someone is tall and vice versa.
If someone is no... | Mary is not curious. | neutral | (![X]:(~calm(X)=>(~wise(X)|~quiet(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((tall(X)<~>strong(X)))))&
(![X]:((calm(X)<~>creative(X))=>(brave(X)|strong(X))))&
(![X]:((curious(X)|quiet(X))=>~brave(X)))&
((?[X]:((creative(X)|rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:(~wise(X)))=>(?[X]:((tall(X)|~brave(X)))))&
((quiet(susan))<=>((r... | ~curious(mary) | [] | null | 0 |
If someone is either tall or not humble then john is both not rich and strong.
Everyone who is not creative or wise is both kind and curious and vice versa.
If fred is both creative and not funny then someone is not tall or not curious.
Everyone who is strong or curious is both not old and not patient and vice versa.
E... | Alice is not strong. | neutral | ((?[X]:((tall(X)<~>~humble(X))))=>((~rich(john)&strong(john))))&
(![X]:((~creative(X)|wise(X))<=>(kind(X)&curious(X))))&
(((creative(fred)&~funny(fred)))=>(?[X]:((~tall(X)|~curious(X)))))&
(![X]:((strong(X)|curious(X))<=>(~old(X)&~patient(X))))&
(![X]:(~curious(X)<=>(~curious(X)&funny(X))))&
((?[X]:((~funny(X)<~>humble... | ~strong(alice) | [] | null | 0 |
Everyone who is either not patient or not generous is either brave or funny and vice versa. If someone is either not happy or kind then lucy is calm. Everyone who is not tall is not creative or not wise and vice versa. Everyone who is not old or not generous is not funny or kind. Everyone who is both humble and not tal... | John is not creative. | contradiction | (![X]:((~patient(X)<~>~generous(X))<=>(brave(X)<~>funny(X))))&
((?[X]:((~happy(X)<~>kind(X))))=>(calm(lucy)))&
(![X]:(~tall(X)<=>(~creative(X)|~wise(X))))&
(![X]:((~old(X)|~generous(X))=>(~funny(X)|kind(X))))&
(![X]:((humble(X)&~tall(X))=>(brave(X)<~>creative(X))))&
(![X]:(creative(X)<=>kind(X)))&
(((creative(lucy)&cal... | ~creative(john) | [
"p5",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6999669487993737988723910
% SZS output start Proof for 6999669487993737988723910
6. ! [X0] : (creative(X0) <=> kind(X0)) [input p5]
13. ? [X0] : (strong(X0) | ~brave(X0)) <=> ? [X0] : ~wise(X0) [input p12]
14. ! [X0] : (~wise(X0) <=> (wise(X0) & ~generous(X0))) [input p13]
20. ~kind(john)... | 0 |
If john is both strong and tall then fred is old or not humble.
Everyone who is not calm is both generous and brave.
Everyone who is not patient or generous is both not calm and generous and vice versa.
If lucy is both not curious and rich then alice is both happy and not kind.
If someone is curious then lucy is both n... | Alice is not curious. | entailment | (((strong(john)&tall(john)))=>((old(fred)|~humble(fred))))&
(![X]:(~calm(X)=>(generous(X)&brave(X))))&
(![X]:((~patient(X)|generous(X))<=>(~calm(X)&generous(X))))&
(((~curious(lucy)&rich(lucy)))=>((happy(alice)&~kind(alice))))&
((?[X]:(curious(X)))<=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((happy(X)|patient(X))))=>((~g... | ~curious(alice) | [
"p1",
"p2",
"p4",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2785745366165698635208433
% SZS output start Proof for 2785745366165698635208433
2. ! [X0] : (~calm(X0) => (brave(X0) & generous(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~patient(X0)) <=> (generous(X0) & ~calm(X0))) [input p2]
5. ? [X0] : curious(X0) <=> (~brave(lucy) & ~quiet(lucy))... | 0 |
Everyone who is either tall or not old is humble or not old.
Everyone who is calm or generous is both not tall and not patient.
Everyone who is both not funny and funny is strong or tall.
If someone is not curious or curious then someone is either rich or brave.
If someone is either not quiet or not strong then mary is... | Fred is curious. | neutral | (![X]:((tall(X)<~>~old(X))=>(humble(X)|~old(X))))&
(![X]:((calm(X)|generous(X))=>(~tall(X)&~patient(X))))&
(![X]:((~funny(X)&funny(X))=>(strong(X)|tall(X))))&
((?[X]:((~curious(X)|curious(X))))=>(?[X]:((rich(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>((~old(mary)|quiet(mary))))&
(![X]:((~patient(X)<~>stron... | curious(fred) | [] | null | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Paul is not happy. | contradiction | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | ~happy(paul) | [
"p0",
"p5",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5514623700451642724912018
% SZS output start Proof for 5514623700451642724912018
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
6. (~funny(paul) <~> ~kind(paul)) => (~creative(paul) | rich(paul)) [input p5]
9. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~s... | 0 |
If alice is either tall or not rich then john is curious or not brave.
If someone is both not creative and strong then someone is either not old or not curious.
Everyone who is both funny and not old is both funny and not strong.
Everyone who is either not generous or not creative is not happy.
Everyone who is either b... | Paul is curious. | entailment | (((tall(alice)<~>~rich(alice)))=>((curious(john)|~brave(john))))&
((?[X]:((~creative(X)&strong(X))))=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((funny(X)&~old(X))=>(funny(X)&~strong(X))))&
(![X]:((~generous(X)<~>~creative(X))=>~happy(X)))&
(![X]:((brave(X)<~>happy(X))<=>(~curious(X)&brave(X))))&
(![X]:((generous(X)&~wi... | curious(paul) | [
"p4",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7457801743455291935769212
% SZS output start Proof for 7457801743455291935769212
5. ! [X0] : ((brave(X0) <~> happy(X0)) <=> (brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~wise(X0) & generous(X0)) <=> ~calm(X0)) [input p5]
7. ? [X0] : ~happy(X0) <=> (~calm(john) & curious(john)) [in... | 0 |
If john is either brave or funny then john is tall and vice versa.
Everyone who is happy or patient is either not patient or not kind.
If susan is curious or old then someone is not quiet and vice versa.
Everyone who is not creative or not old is creative or humble and vice versa.
Everyone who is not old or not funny i... | John is tall. | neutral | (((brave(john)<~>funny(john)))<=>(tall(john)))&
(![X]:((happy(X)|patient(X))=>(~patient(X)<~>~kind(X))))&
(((curious(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
(![X]:((~creative(X)|~old(X))<=>(creative(X)|humble(X))))&
(![X]:((~old(X)|~funny(X))<=>(~patient(X)&rich(X))))&
((quiet(john))<=>(?[X]:((strong(X)&humble(X))))... | tall(john) | [] | null | 0 |
If someone is not brave then fred is either not happy or not quiet and vice versa.
If susan is either quiet or not funny then paul is patient or kind.
If someone is rich then susan is not humble and vice versa.
Everyone who is not wise or humble is not humble and vice versa.
Everyone who is not calm or not happy is bot... | John is not happy. | entailment | ((?[X]:(~brave(X)))<=>((~happy(fred)<~>~quiet(fred))))&
(((quiet(susan)<~>~funny(susan)))=>((patient(paul)|kind(paul))))&
((?[X]:(rich(X)))<=>(~humble(susan)))&
(![X]:((~wise(X)|humble(X))<=>~humble(X)))&
(![X]:((~calm(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~old(X)<~>funny(X))<=>old(X)))&
(![X]:(kind(X)<=>(ge... | ~happy(john) | [
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2048357047880868451931658
% SZS output start Proof for 2048357047880868451931658
4. ! [X0] : ((humble(X0) | ~wise(X0)) <=> ~humble(X0)) [input p3]
6. ! [X0] : ((~old(X0) <~> funny(X0)) <=> old(X0)) [input p5]
13. ! [X0] : (~humble(X0) <=> (~funny(X0) | ~happy(X0))) [input p12]
23. happy(j... | 0 |
Everyone who is both happy and strong is calm or not humble. Everyone who is happy or generous is either not strong or kind and vice versa. If lucy is happy or quiet then someone is not patient or wise and vice versa. Everyone who is not patient is either not strong or not calm and vice versa. Everyone who is not brave... | Alice is not creative. | neutral | (![X]:((happy(X)&strong(X))=>(calm(X)|~humble(X))))&
(![X]:((happy(X)|generous(X))<=>(~strong(X)<~>kind(X))))&
(((happy(lucy)|quiet(lucy)))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:(~patient(X)<=>(~strong(X)<~>~calm(X))))&
(![X]:((~brave(X)|~tall(X))=>(humble(X)|wise(X))))&
(((~creative(alice)<~>strong(alice)))=>(?[X]:... | ~creative(alice) | [] | null | 0 |
If someone is not funny or humble then someone is both kind and not wise. Everyone who is humble is funny or humble and vice versa. Everyone who is old or not wise is quiet or not quiet and vice versa. If susan is either not tall or not brave then alice is either tall or not funny and vice versa. Everyone who is happy ... | John is funny. | entailment | ((?[X]:((~funny(X)|humble(X))))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(humble(X)<=>(funny(X)|humble(X))))&
(![X]:((old(X)|~wise(X))<=>(quiet(X)|~quiet(X))))&
(((~tall(susan)<~>~brave(susan)))<=>((tall(alice)<~>~funny(alice))))&
(![X]:((happy(X)|strong(X))<=>(strong(X)&humble(X))))&
(![X]:((~patient(X)|tall(X))=>funny(X)... | funny(john) | [
"p2",
"p5",
"p8",
"p9",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1592243171466839066719466
% SZS output start Proof for 1592243171466839066719466
3. ! [X0] : ((~wise(X0) | old(X0)) <=> (~quiet(X0) | quiet(X0))) [input p2]
6. ! [X0] : ((tall(X0) | ~patient(X0)) => funny(X0)) [input p5]
9. ? [X0] : (creative(X0) | quiet(X0)) => ? [X0] : (~brave(X0) & ~fu... | 0 |
If someone is either not kind or creative then someone is either not patient or old.
Everyone who is brave is not tall or generous and vice versa.
Everyone who is generous or calm is either happy or tall.
If someone is either not curious or rich then paul is creative or not curious and vice versa.
Everyone who is eithe... | Susan is not creative. | entailment | ((?[X]:((~kind(X)<~>creative(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:((creative(X)<~>old(X))=>(~patient(X)|quiet(X))))&
(((curious(susan)|~gene... | ~creative(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p10",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6284829217037943587605101
% SZS output start Proof for 6284829217037943587605101
2. ! [X0] : (brave(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
3. ! [X0] : ((calm(X0) | generous(X0)) => (happy(X0) <~> tall(X0))) [input p2]
6. (~generous(susan) | curious(susan)) <=> (tall(fred) & ~patie... | 0 |
Everyone who is kind or not curious is both brave and generous and vice versa. Everyone who is not creative or wise is either tall or brave and vice versa. Everyone who is not rich or happy is either happy or calm. If fred is both not patient and happy then fred is generous and vice versa. Everyone who is not happy or ... | Susan is not patient. | neutral | (![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy))=>(kind(john)))&
(![X]:((~brave(X)... | ~patient(susan) | [] | null | 0 |
Everyone who is either not patient or generous is either rich or tall and vice versa. If someone is either wise or not creative then someone is either not brave or not kind. If someone is creative then fred is both strong and not wise and vice versa. If someone is both brave and not kind then lucy is either happy or no... | Susan is happy. | entailment | (![X]:((~patient(X)<~>generous(X))<=>(rich(X)<~>tall(X))))&
((?[X]:((wise(X)<~>~creative(X))))=>(?[X]:((~brave(X)<~>~kind(X)))))&
((?[X]:(creative(X)))<=>((strong(fred)&~wise(fred))))&
((?[X]:((brave(X)&~kind(X))))<=>((happy(lucy)<~>~quiet(lucy))))&
(![X]:((~creative(X)|~tall(X))<=>(happy(X)&~patient(X))))&
((?[X]:((br... | happy(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9144934455538056038443908
% SZS output start Proof for 9144934455538056038443908
5. ! [X0] : ((~tall(X0) | ~creative(X0)) <=> (~patient(X0) & happy(X0))) [input p4]
17. ~creative(susan) & wise(susan) [input p16]
25. ~happy(susan) [input hypothesis]
45. ! [X0] : (((~tall(X0) | ~creative(X0... | 0 |
Everyone who is kind is both not brave and curious and vice versa.
Everyone who is both not rich and not strong is both not rich and humble.
If paul is both not brave and not calm then someone is both creative and not wise.
If mary is either creative or not strong then someone is not quiet or not wise and vice versa.
E... | Fred is humble. | contradiction | (![X]:(kind(X)<=>(~brave(X)&curious(X))))&
(![X]:((~rich(X)&~strong(X))=>(~rich(X)&humble(X))))&
(((~brave(paul)&~calm(paul)))=>(?[X]:((creative(X)&~wise(X)))))&
(((creative(mary)<~>~strong(mary)))<=>(?[X]:((~quiet(X)|~wise(X)))))&
(![X]:(~quiet(X)<=>(~generous(X)|~creative(X))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>((ki... | humble(fred) | [
"p0",
"p4",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 376695734971360651316533
% SZS output start Proof for 376695734971360651316533
1. ! [X0] : (kind(X0) <=> (curious(X0) & ~brave(X0))) [input p0]
5. ! [X0] : (~quiet(X0) <=> (~creative(X0) | ~generous(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> ~humble(X0)) [input p7]
11. ... | 0 |
Everyone who is both not creative and happy is not tall.
If someone is not happy or creative then fred is generous.
Everyone who is calm is strong or not brave and vice versa.
Everyone who is not brave or happy is not kind or not curious and vice versa.
Everyone who is not generous or rich is both not strong and not ca... | Fred is not tall. | contradiction | (![X]:((~creative(X)&happy(X))=>~tall(X)))&
((?[X]:((~happy(X)|creative(X))))=>(generous(fred)))&
(![X]:(calm(X)<=>(strong(X)|~brave(X))))&
(![X]:((~brave(X)|happy(X))<=>(~kind(X)|~curious(X))))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)&~calm(X))))&
((?[X]:((wise(X)&~old(X))))<=>((curious(fred)|~brave(fred))))&
(![X]... | ~tall(fred) | [
"p4",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2901537081366268202267388
% SZS output start Proof for 2901537081366268202267388
5. ! [X0] : ((rich(X0) | ~generous(X0)) => (~calm(X0) & ~strong(X0))) [input p4]
12. ! [X0] : ((tall(X0) <~> ~humble(X0)) <=> (creative(X0) <~> strong(X0))) [input p11]
13. ! [X0] : ((rich(X0) & patient(X0)) ... | 0 |
If lucy is either brave or not calm then someone is both strong and funny and vice versa.
If someone is not creative then paul is both curious and wise and vice versa.
Everyone who is both patient and creative is both wise and not patient.
Everyone who is not kind or rich is not strong and vice versa.
Everyone who is b... | Fred is not old. | contradiction | (((brave(lucy)<~>~calm(lucy)))<=>(?[X]:((strong(X)&funny(X)))))&
((?[X]:(~creative(X)))<=>((curious(paul)&wise(paul))))&
(![X]:((patient(X)&creative(X))=>(wise(X)&~patient(X))))&
(![X]:((~kind(X)|rich(X))<=>~strong(X)))&
(![X]:((wise(X)&brave(X))=>(~happy(X)&~rich(X))))&
(![X]:((brave(X)<~>strong(X))<=>(strong(X)&funny... | ~old(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6958249790345550423826431
% SZS output start Proof for 6958249790345550423826431
10. ! [X0] : ((~tall(X0) <~> old(X0)) <=> tall(X0)) [input p9]
25. ~old(fred) [input hypothesis]
61. ! [X0] : ((((~old(X0) | tall(X0)) & (old(X0) | ~tall(X0))) | ~tall(X0)) & (tall(X0) | ((~tall(X0) | ~old(X0... | 0 |
If someone is not curious or not patient then someone is wise. Everyone who is tall is both not old and not happy and vice versa. Everyone who is not strong is either not wise or creative and vice versa. If someone is both humble and generous then susan is not calm or not wise. If alice is happy then john is curious or... | John is wise. | neutral | ((?[X]:((~curious(X)|~patient(X))))=>(?[X]:(wise(X))))&
(![X]:(tall(X)<=>(~old(X)&~happy(X))))&
(![X]:(~strong(X)<=>(~wise(X)<~>creative(X))))&
((?[X]:((humble(X)&generous(X))))=>((~calm(susan)|~wise(susan))))&
((happy(alice))=>((curious(john)|brave(john))))&
(![X]:(brave(X)=>calm(X)))&
(![X]:((~old(X)<~>~quiet(X))<=>(... | wise(john) | [] | null | 0 |
Everyone who is either not wise or kind is not old or rich and vice versa. If someone is both patient and happy then john is rich. If mary is funny then someone is not wise or not strong. Everyone who is curious or not old is brave or not wise. Everyone who is tall is not generous and vice versa. Everyone who is brave ... | Mary is curious. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(~old(X)|rich(X))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | curious(mary) | [
"p5",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4129703938327026353231048
% SZS output start Proof for 4129703938327026353231048
6. ! [X0] : (brave(X0) <=> patient(X0)) [input p5]
7. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p6]
8. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p7]
13. ! [X0]... | 0 |
Everyone who is not humble or not kind is both not strong and not creative. Everyone who is calm or old is strong or not quiet. Everyone who is old or not tall is either kind or wise. Everyone who is either not calm or not happy is either not kind or happy and vice versa. Everyone who is old or not generous is not stro... | Mary is not calm. | entailment | (![X]:((~humble(X)|~kind(X))=>(~strong(X)&~creative(X))))&
(![X]:((calm(X)|old(X))=>(strong(X)|~quiet(X))))&
(![X]:((old(X)|~tall(X))=>(kind(X)<~>wise(X))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((old(X)|~generous(X))<=>(~strong(X)|~brave(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(old(X)|tall(X)... | ~calm(mary) | [
"p0",
"p3",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5888186912605227401840974
% SZS output start Proof for 5888186912605227401840974
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => (~creative(X0) & ~strong(X0))) [input p0]
4. ! [X0] : ((~calm(X0) <~> ~happy(X0)) <=> (~kind(X0) <~> happy(X0))) [input p3]
15. ! [X0] : (patient(X0) <=> ~creative(X0... | 0 |
Everyone who is funny or happy is brave or generous. Everyone who is brave is kind and vice versa. If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someon... | Lucy is humble. | entailment | (![X]:((funny(X)|happy(X))=>(brave(X)|generous(X))))&
(![X]:(brave(X)<=>kind(X)))&
((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))... | humble(lucy) | [
"p5",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9217022434200072220602265
% SZS output start Proof for 9217022434200072220602265
6. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p5]
7. ! [X0] : (~humble(X0) => (~funny(X0) <~> ~quiet(X0))) [input p6]
13. ! [X0] : ((~wise(X0) <~> quiet(X0)) <=> ~funny... | 0 |
If someone is both humble and creative then susan is rich. If someone is tall then fred is not calm or not funny. If someone is either funny or not happy then someone is not generous or curious and vice versa. Everyone who is not strong is not patient. If someone is happy or humble then paul is not rich and vice versa.... | John is not strong. | entailment | ((?[X]:((humble(X)&creative(X))))=>(rich(susan)))&
((?[X]:(tall(X)))=>((~calm(fred)|~funny(fred))))&
((?[X]:((funny(X)<~>~happy(X))))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:(~strong(X)=>~patient(X)))&
((?[X]:((happy(X)|humble(X))))<=>(~rich(paul)))&
((~tall(mary))=>(?[X]:((~humble(X)|kind(X)))))&
((?[X]:((humble(... | ~strong(john) | [
"p7",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 708773904782397842888169
% SZS output start Proof for 708773904782397842888169
8. ! [X0] : (~wise(X0) => (generous(X0) & ~humble(X0))) [input p7]
10. ! [X0] : ((~humble(X0) | happy(X0)) => (~generous(X0) <~> wise(X0))) [input p9]
13. ! [X0] : (~happy(X0) => (wise(X0) <~> ~happy(X0))) [inp... | 0 |
If paul is both wise and not humble then lucy is both calm and not old.
Everyone who is both funny and not happy is not old or not kind and vice versa.
If someone is not wise or not calm then someone is wise or not brave.
Everyone who is wise is calm or creative and vice versa.
If someone is not tall or not calm then a... | Paul is patient. | contradiction | (((wise(paul)&~humble(paul)))=>((calm(lucy)&~old(lucy))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|~kind(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:(wise(X)<=>(calm(X)|creative(X))))&
((?[X]:((~tall(X)|~calm(X))))=>((~humble(alice)&~patient(alice))))&
((?[X]:((patient(X)<~>creative(X))))<... | patient(paul) | [
"p1",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 967069334173273954830980
% SZS output start Proof for 967069334173273954830980
2. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> (~wise(X0) & tall(X0))) [input p7]
10. ! [X0] : ((~happy(X0) & ~kind(X0)) => ~funny(X0)) [input p9]
13. ! [... | 0 |
Everyone who is brave or generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If someone is either not kind or tall then someone is not humble. Everyone who is both humble a... | Paul is brave. | contradiction | (![X]:((brave(X)|generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~kind(X)&creative(X))=>calm(X... | brave(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3157670215418342457579953
% SZS output start Proof for 3157670215418342457579953
11. ! [X0] : ((~generous(X0) | generous(X0)) <=> (~wise(X0) & ~brave(X0))) [input p10]
21. brave(paul) [input hypothesis]
55. ! [X0] : (((~generous(X0) | generous(X0)) | (wise(X0) | brave(X0))) & ((~wise(X0) ... | 0 |
Everyone who is either not brave or not strong is either funny or happy and vice versa.
Everyone who is not rich or not funny is either not kind or quiet and vice versa.
If mary is happy then alice is not kind or kind.
If john is both not humble and not patient then susan is not curious or curious and vice versa.
If al... | John is creative. | contradiction | (![X]:((~brave(X)<~>~strong(X))<=>(funny(X)<~>happy(X))))&
(![X]:((~rich(X)|~funny(X))<=>(~kind(X)<~>quiet(X))))&
((happy(mary))=>((~kind(alice)|kind(alice))))&
(((~humble(john)&~patient(john)))<=>((~curious(susan)|curious(susan))))&
((~generous(alice))=>(?[X]:((~curious(X)&patient(X)))))&
(![X]:(kind(X)<=>(~curious(X)... | creative(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 166083806579406135308063
% SZS output start Proof for 166083806579406135308063
14. ! [X0] : (creative(X0) <=> (~rich(X0) & rich(X0))) [input p13]
24. creative(john) [input hypothesis]
60. ! [X0] : ((creative(X0) | (rich(X0) | ~rich(X0))) & ((~rich(X0) & rich(X0)) | ~creative(X0))) [nnf tr... | 0 |
If someone is not strong then someone is old or not old and vice versa.
If someone is either not generous or humble then susan is both not quiet and not old.
Everyone who is not curious or not humble is quiet and vice versa.
If someone is either wise or not tall then someone is generous or not quiet and vice versa.
Eve... | Fred is not old. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~old(X)))))&
((?[X]:((~generous(X)<~>humble(X))))=>((~quiet(susan)&~old(susan))))&
(![X]:((~curious(X)|~humble(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:((~curious(X)&~wise(X))<=>(curious(X)|~quiet(X))))&
((?[X]:((~strong(X)<~>tall(... | ~old(fred) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5258387491089877248419854
% SZS output start Proof for 5258387491089877248419854
3. ! [X0] : ((~humble(X0) | ~curious(X0)) <=> quiet(X0)) [input p2]
5. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~quiet(X0) | curious(X0))) [input p4]
8. ! [X0] : ((~old(X0) | curious(X0)) <=> (calm(X0) | wis... | 0 |
Everyone who is both not calm and brave is not calm or not tall and vice versa. Everyone who is wise or not kind is not humble or funny. If alice is not creative or humble then someone is both tall and rich and vice versa. Everyone who is either not brave or patient is either not brave or wise and vice versa. If john i... | Susan is not funny. | entailment | (![X]:((~calm(X)&brave(X))<=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~humble(X)|funny(X))))&
(((~creative(alice)|humble(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((~brave(X)<~>patient(X))<=>(~brave(X)<~>wise(X))))&
(((~old(john)&~funny(john)))<=>((tall(paul)<~>quiet(paul))))&
(![X]:(creative(X)<=>(~quiet... | ~funny(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4258566804109824808323253
% SZS output start Proof for 4258566804109824808323253
13. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p12]
23. funny(susan) [input hypothesis]
29. ! [X0] : ((strong(X0) & ~funny(X0)) | (happy(X0) <=> ~happy(X0))) [ennf transformatio... | 0 |
If lucy is not strong or funny then someone is quiet.
Everyone who is both not old and wise is not creative or brave.
If someone is either not creative or not wise then paul is either not rich or not funny.
If someone is either not patient or quiet then paul is either not strong or not curious.
Everyone who is both not... | Susan is not humble. | contradiction | (((~strong(lucy)|funny(lucy)))=>(?[X]:(quiet(X))))&
(![X]:((~old(X)&wise(X))=>(~creative(X)|brave(X))))&
((?[X]:((~creative(X)<~>~wise(X))))=>((~rich(paul)<~>~funny(paul))))&
((?[X]:((~patient(X)<~>quiet(X))))=>((~strong(paul)<~>~curious(paul))))&
(![X]:((~humble(X)&quiet(X))=>(~wise(X)<~>~tall(X))))&
(![X]:(~funny(X)=... | ~humble(susan) | [
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 500037697748447740369488
% SZS output start Proof for 500037697748447740369488
7. ! [X0] : ((calm(X0) | ~creative(X0)) <=> (~patient(X0) & ~calm(X0))) [input p6]
9. ! [X0] : (~patient(X0) <=> (humble(X0) | creative(X0))) [input p8]
11. ! [X0] : ((~brave(X0) | ~funny(X0)) <=> creative(X0))... | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | John is rich. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | rich(john) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 901178465584332429577646
% SZS output start Proof for 901178465584332429577646
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~brave(X0)) <=> (~... | 0 |
If someone is both not quiet and not humble then fred is patient or calm and vice versa. If someone is both wise and funny then mary is both not tall and not humble and vice versa. Everyone who is patient or quiet is either not creative or quiet and vice versa. Everyone who is not strong is not kind. If susan is curiou... | Fred is curious. | contradiction | ((?[X]:((~quiet(X)&~humble(X))))<=>((patient(fred)|calm(fred))))&
((?[X]:((wise(X)&funny(X))))<=>((~tall(mary)&~humble(mary))))&
(![X]:((patient(X)|quiet(X))<=>(~creative(X)<~>quiet(X))))&
(![X]:(~strong(X)=>~kind(X)))&
((curious(susan))=>(?[X]:((tall(X)<~>~quiet(X)))))&
(((brave(susan)|calm(susan)))=>(?[X]:(~wise(X)))... | curious(fred) | [
"p3",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7258613898153750395136682
% SZS output start Proof for 7258613898153750395136682
4. ! [X0] : (~strong(X0) => ~kind(X0)) [input p3]
7. ~rich(john) <=> ? [X0] : curious(X0) [input p6]
12. ! [X0] : ((~kind(X0) <~> strong(X0)) <=> ~kind(X0)) [input p11]
13. ? [X0] : strong(X0) <=> ? [X0] : (r... | 0 |
If someone is both old and brave then paul is not patient or not calm and vice versa.
If john is not happy or not patient then someone is old and vice versa.
Everyone who is not patient is either not happy or not strong.
Everyone who is creative is not patient.
Everyone who is either humble or not humble is either not ... | Paul is not happy. | neutral | ((?[X]:((old(X)&brave(X))))<=>((~patient(paul)|~calm(paul))))&
(((~happy(john)|~patient(john)))<=>(?[X]:(old(X))))&
(![X]:(~patient(X)=>(~happy(X)<~>~strong(X))))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:((humble(X)<~>~humble(X))=>(~tall(X)<~>old(X))))&
((?[X]:((old(X)<~>~generous(X))))<=>(~quiet(paul)))&
(![X]:((~cur... | ~happy(paul) | [] | null | 0 |
If someone is both not patient and kind then fred is either not wise or not funny and vice versa.
Everyone who is brave or wise is both not curious and not happy.
Everyone who is quiet or happy is both not humble and generous and vice versa.
Everyone who is both not patient and tall is both quiet and old and vice versa... | Mary is not quiet. | neutral | ((?[X]:((~patient(X)&kind(X))))<=>((~wise(fred)<~>~funny(fred))))&
(![X]:((brave(X)|wise(X))=>(~curious(X)&~happy(X))))&
(![X]:((quiet(X)|happy(X))<=>(~humble(X)&generous(X))))&
(![X]:((~patient(X)&tall(X))<=>(quiet(X)&old(X))))&
(![X]:((~calm(X)<~>~brave(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~strong(X)|~generous(X))=>... | ~quiet(mary) | [] | null | 0 |
Everyone who is brave is either not generous or not brave. If someone is kind then someone is not rich or rich and vice versa. If fred is either funny or generous then paul is creative. Everyone who is funny or not patient is patient and vice versa. If someone is creative then lucy is either rich or patient. Everyone w... | Lucy is brave. | contradiction | (![X]:(brave(X)=>(~generous(X)<~>~brave(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|rich(X)))))&
(((funny(fred)<~>generous(fred)))=>(creative(paul)))&
(![X]:((funny(X)|~patient(X))<=>patient(X)))&
((?[X]:(creative(X)))=>((rich(lucy)<~>patient(lucy))))&
(![X]:((happy(X)&old(X))<=>(~funny(X)&funny(X))))&
(![X]:(curious(X... | brave(lucy) | [
"p0",
"p3",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 360199099271611791264532
% SZS output start Proof for 360199099271611791264532
1. ! [X0] : (brave(X0) => (~generous(X0) <~> ~brave(X0))) [input p0]
4. ! [X0] : ((~patient(X0) | funny(X0)) <=> patient(X0)) [input p3]
5. ? [X0] : creative(X0) => (rich(lucy) <~> patient(lucy)) [input p4]
8. ... | 0 |
If john is not tall then someone is both old and not patient. Everyone who is tall is not curious or not creative and vice versa. Everyone who is both not humble and wise is kind or not humble. If someone is both not humble and patient then susan is not humble and vice versa. Everyone who is happy is either not rich or... | Alice is tall. | entailment | ((~tall(john))=>(?[X]:((old(X)&~patient(X)))))&
(![X]:(tall(X)<=>(~curious(X)|~creative(X))))&
(![X]:((~humble(X)&wise(X))=>(kind(X)|~humble(X))))&
((?[X]:((~humble(X)&patient(X))))<=>(~humble(susan)))&
(![X]:(happy(X)=>(~rich(X)<~>rich(X))))&
((?[X]:(generous(X)))=>(generous(fred)))&
(![X]:((~humble(X)&~calm(X))<=>pat... | tall(alice) | [
"p1",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6132369275741502731903233
% SZS output start Proof for 6132369275741502731903233
2. ! [X0] : (tall(X0) <=> (~creative(X0) | ~curious(X0))) [input p1]
8. ! [X0] : ((~curious(X0) | ~patient(X0)) => ~creative(X0)) [input p7]
10. ! [X0] : ((~brave(X0) <~> ~rich(X0)) <=> (~brave(X0) & ~rich(X0... | 0 |
If john is both generous and old then mary is strong and vice versa.
If paul is both kind and brave then mary is calm.
If john is not happy then mary is both happy and not quiet.
If alice is both wise and not kind then alice is both happy and quiet and vice versa.
If someone is calm then someone is either quiet or wise... | Alice is happy. | contradiction | (((generous(john)&old(john)))<=>(strong(mary)))&
(((kind(paul)&brave(paul)))=>(calm(mary)))&
((~happy(john))=>((happy(mary)&~quiet(mary))))&
(((wise(alice)&~kind(alice)))<=>((happy(alice)&quiet(alice))))&
((?[X]:(calm(X)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~creative(X))))&
((... | happy(alice) | [
"p3",
"p5",
"p8",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6198814361701198250393183
% SZS output start Proof for 6198814361701198250393183
4. (~kind(alice) & wise(alice)) <=> (quiet(alice) & happy(alice)) [input p3]
6. ! [X0] : ((~strong(X0) | brave(X0)) <=> (~creative(X0) & generous(X0))) [input p5]
9. ! [X0] : ((humble(X0) & ~creative(X0)) <=>... | 0 |
Everyone who is not happy is either not humble or not kind and vice versa.
Everyone who is either not rich or curious is both not humble and not curious and vice versa.
If susan is wise or creative then lucy is either not tall or not patient and vice versa.
Everyone who is creative is either not kind or not patient and... | Susan is not brave. | entailment | (![X]:(~happy(X)<=>(~humble(X)<~>~kind(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~humble(X)&~curious(X))))&
(((wise(susan)|creative(susan)))<=>((~tall(lucy)<~>~patient(lucy))))&
(![X]:(creative(X)<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)<~>~kind(X))=>(rich(X)<~>brave(X))))&
(![X]:((~quiet(X)<~>brave(X))<=>(~quiet(X... | ~brave(susan) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3400538188655420367690264
% SZS output start Proof for 3400538188655420367690264
2. ! [X0] : ((~rich(X0) <~> curious(X0)) <=> (~curious(X0) & ~humble(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) <~> brave(X0)) <=> (creative(X0) | ~quiet(X0))) [input p5]
8. ! [X0] : ((~patient(X0) | calm(X0))... | 0 |
If susan is both not old and patient then susan is patient or brave.
Everyone who is kind or not creative is humble and vice versa.
Everyone who is old or funny is both funny and not calm and vice versa.
Everyone who is not old or not generous is either not old or humble and vice versa.
Everyone who is brave is both no... | Mary is curious. | neutral | (((~old(susan)&patient(susan)))=>((patient(susan)|brave(susan))))&
(![X]:((kind(X)|~creative(X))<=>humble(X)))&
(![X]:((old(X)|funny(X))<=>(funny(X)&~calm(X))))&
(![X]:((~old(X)|~generous(X))<=>(~old(X)<~>humble(X))))&
(![X]:(brave(X)<=>(~rich(X)&~old(X))))&
(![X]:((calm(X)&creative(X))<=>(generous(X)|wise(X))))&
((?[X... | curious(mary) | [] | null | 0 |
If fred is either funny or brave then lucy is both not strong and strong. Everyone who is both creative and rich is either quiet or calm and vice versa. Everyone who is either brave or not humble is not rich. Everyone who is both not rich and happy is either old or not quiet and vice versa. Everyone who is either not g... | Mary is not calm. | neutral | (((funny(fred)<~>brave(fred)))=>((~strong(lucy)&strong(lucy))))&
(![X]:((creative(X)&rich(X))<=>(quiet(X)<~>calm(X))))&
(![X]:((brave(X)<~>~humble(X))=>~rich(X)))&
(![X]:((~rich(X)&happy(X))<=>(old(X)<~>~quiet(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>~quiet(X)))&
(![X]:((~old(X)<~>wise(X))=>(humble(X)&tall(X))))&
(![X... | ~calm(mary) | [] | null | 0 |
Everyone who is kind is either patient or old and vice versa. Everyone who is tall is either strong or old and vice versa. Everyone who is both rich and old is either strong or humble and vice versa. Everyone who is strong or not creative is either not calm or generous and vice versa. Everyone who is both not generous ... | Lucy is not generous. | neutral | (![X]:(kind(X)<=>(patient(X)<~>old(X))))&
(![X]:(tall(X)<=>(strong(X)<~>old(X))))&
(![X]:((rich(X)&old(X))<=>(strong(X)<~>humble(X))))&
(![X]:((strong(X)|~creative(X))<=>(~calm(X)<~>generous(X))))&
(![X]:((~generous(X)&old(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((funny(X)<~>generous(X))<=>(wise(X)<~>~strong(X))))&
((?[X]... | ~generous(lucy) | [] | null | 0 |
Everyone who is patient or not patient is calm or tall. Everyone who is both not rich and not humble is not quiet or not old and vice versa. If someone is either tall or not strong then someone is either strong or not kind and vice versa. Everyone who is either not tall or not humble is both old and generous and vice v... | John is old. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(~quiet(X)|~old(X))))&
((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:((strong(X)<~>~kind(X)))))&
(![X]:((~tall(X)<~>~humble(X))<=>(old(X)&generous(X))))&
((?[X]:(~brave(X)))<=>((generous(mary)&funny(mary))))&
(![X]:(patient(X)<=>(~old(X)<~>... | old(john) | [
"p1",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5330989293661148451833995
% SZS output start Proof for 5330989293661148451833995
2. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (~old(X0) | ~quiet(X0))) [input p1]
8. ! [X0] : ((~kind(X0) & ~rich(X0)) => (kind(X0) & strong(X0))) [input p7]
14. ! [X0] : (~generous(X0) => old(X0)) [input p13]
2... | 0 |
If lucy is not funny then someone is wise and vice versa.
Everyone who is both quiet and funny is either not old or curious and vice versa.
Everyone who is either funny or wise is not kind and vice versa.
If someone is humble or quiet then mary is not humble and vice versa.
Everyone who is both tall and not generous is... | Lucy is kind. | contradiction | ((~funny(lucy))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)&funny(X))<=>(~old(X)<~>curious(X))))&
(![X]:((funny(X)<~>wise(X))<=>~kind(X)))&
((?[X]:((humble(X)|quiet(X))))<=>(~humble(mary)))&
(![X]:((tall(X)&~generous(X))<=>(~creative(X)&old(X))))&
(![X]:((tall(X)|~humble(X))=>(~strong(X)<~>~kind(X))))&
((?[X]:((~old(X)<~>~ki... | kind(lucy) | [
"p0",
"p2",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2245082946236308926379791
% SZS output start Proof for 2245082946236308926379791
1. ~funny(lucy) <=> ? [X0] : wise(X0) [input p0]
3. ! [X0] : ((funny(X0) <~> wise(X0)) <=> ~kind(X0)) [input p2]
4. ? [X0] : (quiet(X0) | humble(X0)) <=> ~humble(mary) [input p3]
10. ! [X0] : (~humble(X0) => ... | 0 |
Everyone who is both not wise and humble is not creative or happy and vice versa. Everyone who is either not generous or not old is not kind or not generous and vice versa. Everyone who is humble is either kind or funny and vice versa. Everyone who is either rich or generous is not brave. If someone is either not curio... | Fred is kind. | entailment | (![X]:((~wise(X)&humble(X))<=>(~creative(X)|happy(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~kind(X)|~generous(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((rich(X)<~>generous(X))=>~brave(X)))&
((?[X]:((~curious(X)<~>kind(X))))<=>(~old(john)))&
(![X]:(calm(X)<=>rich(X)))&
(![X]:(calm(X)<=>(strong(X)<~>~tall... | kind(fred) | [
"p1",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9151174612763566571415041
% SZS output start Proof for 9151174612763566571415041
2. ! [X0] : ((~generous(X0) <~> ~old(X0)) <=> (~generous(X0) | ~kind(X0))) [input p1]
5. ? [X0] : (~curious(X0) <~> kind(X0)) <=> ~old(john) [input p4]
8. ! [X0] : (old(X0) <=> generous(X0)) [input p7]
23. ~c... | 0 |
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