premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not kind or quiet is either tall or not old.
If someone is quiet or calm then alice is both wise and not quiet.
If someone is not tall then someone is quiet or not calm.
If someone is not quiet then someone is kind or not calm.
Everyone who is not patient is generous and vice versa.
Everyone who ... | John is curious. | contradiction | (![X]:((~kind(X)<~>quiet(X))=>(tall(X)<~>~old(X))))&
((?[X]:((quiet(X)|calm(X))))=>((wise(alice)&~quiet(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|~calm(X)))))&
(![X]:(~patient(X)<=>generous(X)))&
(![X]:((strong(X)&~strong(X))<=>(wise(X)|brave(X))))&
((?[X]:((humb... | curious(john) | [
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1486170612761367813635266
% SZS output start Proof for 1486170612761367813635266
6. ! [X0] : ((~strong(X0) & strong(X0)) <=> (brave(X0) | wise(X0))) [input p5]
8. ! [X0] : (~brave(X0) <=> (~curious(X0) <~> patient(X0))) [input p7]
13. ! [X0] : ((creative(X0) | patient(X0)) => (generous(X0... | 0 |
Everyone who is not patient is old or tall and vice versa. If mary is either strong or not humble then paul is happy. Everyone who is either wise or old is not generous or wise and vice versa. If alice is both kind and not humble then lucy is both not creative and brave. If alice is not patient or not calm then someone... | Paul is not old. | entailment | (![X]:(~patient(X)<=>(old(X)|tall(X))))&
(((strong(mary)<~>~humble(mary)))=>(happy(paul)))&
(![X]:((wise(X)<~>old(X))<=>(~generous(X)|wise(X))))&
(((kind(alice)&~humble(alice)))=>((~creative(lucy)&brave(lucy))))&
(((~patient(alice)|~calm(alice)))=>(?[X]:(~funny(X))))&
((?[X]:((~quiet(X)|strong(X))))=>((~rich(fred)|happ... | ~old(paul) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7227260159145709717278884
% SZS output start Proof for 7227260159145709717278884
3. ! [X0] : ((wise(X0) <~> old(X0)) <=> (wise(X0) | ~generous(X0))) [input p2]
15. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (generous(X0) & happy(X0))) [input p14]
22. old(paul) [input hypothesis]
42. ! [X0] : ... | 0 |
If lucy is humble then someone is not creative. If lucy is not calm or funny then someone is both not happy and not kind. Everyone who is not creative is either brave or not funny. If someone is either not tall or not strong then someone is both not wise and not old. Everyone who is not funny or curious is calm. Everyo... | Lucy is creative. | entailment | ((humble(lucy))=>(?[X]:(~creative(X))))&
(((~calm(lucy)|funny(lucy)))=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:(~creative(X)=>(brave(X)<~>~funny(X))))&
((?[X]:((~tall(X)<~>~strong(X))))=>(?[X]:((~wise(X)&~old(X)))))&
(![X]:((~funny(X)|curious(X))=>calm(X)))&
(![X]:(~brave(X)=>~strong(X)))&
(![X]:((tall(X)<~>kind(X))<=>(g... | creative(lucy) | [
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7626569006134684057558395
% SZS output start Proof for 7626569006134684057558395
9. ! [X0] : ((humble(X0) | ~old(X0)) <=> (creative(X0) & ~humble(X0))) [input p8]
10. ! [X0] : ((calm(X0) | old(X0)) => ~kind(X0)) [input p9]
16. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (kind(X0) & rich(X0)... | 0 |
If mary is either not old or not kind then someone is either old or quiet and vice versa. Everyone who is both not humble and not patient is both not happy and old. Everyone who is not humble or old is strong or generous and vice versa. If susan is both not strong and not kind then someone is happy and vice versa. Ever... | Susan is not curious. | entailment | (((~old(mary)<~>~kind(mary)))<=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~humble(X)&~patient(X))=>(~happy(X)&old(X))))&
(![X]:((~humble(X)|old(X))<=>(strong(X)|generous(X))))&
(((~strong(susan)&~kind(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~humble(X)<~>wise(X))=>(kind(X)<~>patient(X))))&
(![X]:((~creative(X)|curious(X))=>... | ~curious(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4252217482879951576214555
% SZS output start Proof for 4252217482879951576214555
16. ! [X0] : ((~calm(X0) & curious(X0)) <=> calm(X0)) [input p15]
20. curious(susan) [input hypothesis]
68. ! [X0] : (((~calm(X0) & curious(X0)) | ~calm(X0)) & (calm(X0) | (calm(X0) | ~curious(X0)))) [nnf tra... | 0 |
If alice is tall then alice is not old or not generous.
If someone is patient or not wise then someone is not patient or not humble and vice versa.
Everyone who is not curious or not brave is happy and vice versa.
If alice is either not quiet or not kind then lucy is both calm and quiet and vice versa.
Everyone who is ... | John is quiet. | neutral | ((tall(alice))=>((~old(alice)|~generous(alice))))&
((?[X]:((patient(X)|~wise(X))))<=>(?[X]:((~patient(X)|~humble(X)))))&
(![X]:((~curious(X)|~brave(X))<=>happy(X)))&
(((~quiet(alice)<~>~kind(alice)))<=>((calm(lucy)&quiet(lucy))))&
(![X]:((brave(X)&~funny(X))<=>quiet(X)))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(~rich(john)... | quiet(john) | [] | null | 0 |
If someone is brave then alice is generous or kind and vice versa. Everyone who is both not curious and rich is either happy or creative. Everyone who is strong or kind is both not strong and calm and vice versa. Everyone who is strong is either not wise or generous. If alice is old then someone is both rich and patien... | Lucy is not humble. | contradiction | ((?[X]:(brave(X)))<=>((generous(alice)|kind(alice))))&
(![X]:((~curious(X)&rich(X))=>(happy(X)<~>creative(X))))&
(![X]:((strong(X)|kind(X))<=>(~strong(X)&calm(X))))&
(![X]:(strong(X)=>(~wise(X)<~>generous(X))))&
((old(alice))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>(tall(X)&~quiet(X))))&
(((hum... | ~humble(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4798039218355917468573299
% SZS output start Proof for 4798039218355917468573299
1. ? [X0] : brave(X0) <=> (kind(alice) | generous(alice)) [input p0]
3. ! [X0] : ((kind(X0) | strong(X0)) <=> (calm(X0) & ~strong(X0))) [input p2]
7. (humble(lucy) <~> ~curious(lucy)) <=> ? [X0] : (~brave(X0)... | 0 |
Everyone who is both rich and generous is kind or humble and vice versa. Everyone who is funny or not calm is not generous. If someone is creative then john is generous or not happy. Everyone who is not quiet or old is either not strong or generous and vice versa. If alice is strong or creative then someone is not quie... | Paul is not humble. | contradiction | (![X]:((rich(X)&generous(X))<=>(kind(X)|humble(X))))&
(![X]:((funny(X)|~calm(X))=>~generous(X)))&
((?[X]:(creative(X)))=>((generous(john)|~happy(john))))&
(![X]:((~quiet(X)|old(X))<=>(~strong(X)<~>generous(X))))&
(((strong(alice)|creative(alice)))<=>(?[X]:((~quiet(X)|rich(X)))))&
((~tall(fred))=>(?[X]:((~quiet(X)|wise(... | ~humble(paul) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8795839431503161575725095
% SZS output start Proof for 8795839431503161575725095
9. humble(paul) <=> ? [X0] : ~creative(X0) [input p8]
18. ? [X0] : ~creative(X0) [input p17]
25. ~humble(paul) [input hypothesis]
47. (humble(paul) | ! [X0] : creative(X0)) & (? [X0] : ~creative(X0) | ~humble... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If fred is creative or funny then fred is patient. If paul is both not humble and not creative then mary is not creative or funny. If someone is curious or not kind then mary is not happy. Everyone ... | Mary is not strong. | contradiction | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
(((creative(fred)|funny(fred)))=>(patient(fred)))&
(((~humble(paul)&~creative(paul)))=>((~creative(mary)|funny(mary))))&
((?[X]:((curious(X)|~kind(X))))=>(~happy(mary)))&
(![X]:((kind(X)&~brave(X))=>(~old(X)<~>old(X))))&
((?[X]:(... | ~strong(mary) | [
"p0",
"p8",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3467790093372823816867635
% SZS output start Proof for 3467790093372823816867635
1. ! [X0] : ((~strong(X0) | creative(X0)) => (generous(X0) & funny(X0))) [input p0]
9. ! [X0] : ((~brave(X0) | funny(X0)) <=> (quiet(X0) | strong(X0))) [input p8]
17. funny(mary) [input p16]
22. funny(mary) <... | 0 |
If john is not curious then alice is not strong.
Everyone who is either not strong or not wise is humble or not happy.
Everyone who is not funny or not strong is rich.
Everyone who is either not kind or not wise is both calm and not funny.
If lucy is funny then someone is not tall or old.
If someone is either happy or ... | Susan is not wise. | entailment | ((~curious(john))=>(~strong(alice)))&
(![X]:((~strong(X)<~>~wise(X))=>(humble(X)|~happy(X))))&
(![X]:((~funny(X)|~strong(X))=>rich(X)))&
(![X]:((~kind(X)<~>~wise(X))=>(calm(X)&~funny(X))))&
((funny(lucy))=>(?[X]:((~tall(X)|old(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((curious(fred)|~strong(fred))))&
((?[X]:((~funny... | ~wise(susan) | [
"p2",
"p3",
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8713782912753229427139565
% SZS output start Proof for 8713782912753229427139565
3. ! [X0] : ((~strong(X0) | ~funny(X0)) => rich(X0)) [input p2]
4. ! [X0] : ((~kind(X0) <~> ~wise(X0)) => (~funny(X0) & calm(X0))) [input p3]
9. ! [X0] : ((calm(X0) | ~brave(X0)) <=> ~rich(X0)) [input p8]
15.... | 0 |
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vice versa.
Everyone who is not strong or old is both funny and not tall.
Everyone wh... | Susan is curious. | contradiction | (![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(... | curious(susan) | [
"p0",
"p2",
"p4",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1345594394238253346643108
% SZS output start Proof for 1345594394238253346643108
1. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p0]
3. ! [X0] : (~curious(X0) <=> patient(X0)) [input p2]
5. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p4]
... | 0 |
Everyone who is either quiet or calm is either happy or not creative and vice versa. If alice is either strong or not happy then someone is not generous. If someone is patient then someone is old. Everyone who is either humble or brave is kind or not generous. Everyone who is wise or not brave is either not tall or wis... | Paul is not curious. | neutral | (![X]:((quiet(X)<~>calm(X))<=>(happy(X)<~>~creative(X))))&
(((strong(alice)<~>~happy(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(patient(X)))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>brave(X))=>(kind(X)|~generous(X))))&
(![X]:((wise(X)|~brave(X))<=>(~tall(X)<~>wise(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(?[X]:((~patient(X... | ~curious(paul) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then lucy is either brave or generous and vice versa. Everyone who is both not old and not strong is both calm and tall. Everyone who is either not wise or happy is either quiet... | Fred is not happy. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((brave(lucy)<~>generous(lucy))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((tall(X)&calm(X))<=>~calm(X)))&
((?[X]:((funny... | ~happy(fred) | [] | null | 0 |
If someone is funny then fred is both wise and curious.
If someone is old or not kind then someone is both not rich and funny.
If someone is either wise or old then someone is wise or strong and vice versa.
If someone is not funny then alice is both patient and old.
If lucy is either curious or funny then someone is ol... | Alice is not patient. | contradiction | ((?[X]:(funny(X)))=>((wise(fred)&curious(fred))))&
((?[X]:((old(X)|~kind(X))))=>(?[X]:((~rich(X)&funny(X)))))&
((?[X]:((wise(X)<~>old(X))))<=>(?[X]:((wise(X)|strong(X)))))&
((?[X]:(~funny(X)))=>((patient(alice)&old(alice))))&
(((curious(lucy)<~>funny(lucy)))<=>(?[X]:(old(X))))&
(![X]:((~tall(X)<~>~patient(X))<=>(~wise(... | ~patient(alice) | [
"p3",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6963038602746027464582148
% SZS output start Proof for 6963038602746027464582148
4. ? [X0] : ~funny(X0) => (old(alice) & patient(alice)) [input p3]
8. ! [X0] : ((funny(X0) | ~old(X0)) <=> (calm(X0) & humble(X0))) [input p7]
11. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (curious(X0) <~> calm... | 0 |
If someone is generous or not happy then someone is tall or kind and vice versa.
If fred is quiet then someone is either not strong or not patient.
Everyone who is both not creative and brave is kind.
Everyone who is rich or not brave is both not happy and curious and vice versa.
Everyone who is either not curious or n... | Susan is tall. | neutral | ((?[X]:((generous(X)|~happy(X))))<=>(?[X]:((tall(X)|kind(X)))))&
((quiet(fred))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((~creative(X)&brave(X))=>kind(X)))&
(![X]:((rich(X)|~brave(X))<=>(~happy(X)&curious(X))))&
(![X]:((~curious(X)<~>~patient(X))<=>(old(X)<~>quiet(X))))&
(![X]:((funny(X)&happy(X))=>(humble(X)|rich... | tall(susan) | [] | null | 0 |
If mary is generous or not brave then susan is not rich or not curious.
Everyone who is either rich or not kind is patient.
If someone is both humble and not generous then mary is strong and vice versa.
If lucy is not strong then someone is not happy or not wise.
Everyone who is both rich and not generous is either tal... | John is not creative. | neutral | (((generous(mary)|~brave(mary)))=>((~rich(susan)|~curious(susan))))&
(![X]:((rich(X)<~>~kind(X))=>patient(X)))&
((?[X]:((humble(X)&~generous(X))))<=>(strong(mary)))&
((~strong(lucy))=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:((rich(X)&~generous(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~old(X)&~rich(X))=>(~happy(X)|~strong(... | ~creative(john) | [] | null | 0 |
Everyone who is not kind or not patient is not patient or not creative and vice versa. Everyone who is both not quiet and not calm is curious. Everyone who is either not humble or not quiet is old and vice versa. If someone is either not happy or curious then fred is either happy or generous and vice versa. Everyone wh... | Fred is not calm. | entailment | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)|~creative(X))))&
(![X]:((~quiet(X)&~calm(X))=>curious(X)))&
(![X]:((~humble(X)<~>~quiet(X))<=>old(X)))&
((?[X]:((~happy(X)<~>curious(X))))<=>((happy(fred)<~>generous(fred))))&
(![X]:((creative(X)<~>~rich(X))=>(wise(X)&~kind(X))))&
((?[X]:((patient(X)&~funny(X))))<=>((~funny(... | ~calm(fred) | [
"p6",
"p7",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3245843231020238002639168
% SZS output start Proof for 3245843231020238002639168
7. ! [X0] : ((~tall(X0) & ~brave(X0)) <=> calm(X0)) [input p6]
8. ! [X0] : ((~curious(X0) <~> ~funny(X0)) <=> brave(X0)) [input p7]
10. ! [X0] : ((funny(X0) & curious(X0)) <=> (old(X0) <~> ~funny(X0))) [input... | 0 |
If mary is wise or quiet then someone is either generous or kind.
If fred is either not brave or strong then john is not happy or curious.
Everyone who is both funny and not strong is not strong or happy and vice versa.
If paul is either tall or not patient then susan is both not funny and creative.
Everyone who is not... | Lucy is brave. | entailment | (((wise(mary)|quiet(mary)))=>(?[X]:((generous(X)<~>kind(X)))))&
(((~brave(fred)<~>strong(fred)))=>((~happy(john)|curious(john))))&
(![X]:((funny(X)&~strong(X))<=>(~strong(X)|happy(X))))&
(((tall(paul)<~>~patient(paul)))=>((~funny(susan)&creative(susan))))&
(![X]:((~rich(X)|calm(X))=>(happy(X)&humble(X))))&
(((funny(pau... | brave(lucy) | [
"p2",
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1794902635826204426864072
% SZS output start Proof for 1794902635826204426864072
3. ! [X0] : ((~strong(X0) & funny(X0)) <=> (happy(X0) | ~strong(X0))) [input p2]
5. ! [X0] : ((calm(X0) | ~rich(X0)) => (humble(X0) & happy(X0))) [input p4]
14. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (~rich(X... | 0 |
If someone is both not creative and generous then mary is both not creative and rich. Everyone who is tall or not funny is both not strong and not happy. Everyone who is curious is either not funny or quiet. If susan is both not old and not brave then lucy is either not kind or funny and vice versa. Everyone who is old... | Fred is not generous. | contradiction | ((?[X]:((~creative(X)&generous(X))))=>((~creative(mary)&rich(mary))))&
(![X]:((tall(X)|~funny(X))=>(~strong(X)&~happy(X))))&
(![X]:(curious(X)=>(~funny(X)<~>quiet(X))))&
(((~old(susan)&~brave(susan)))<=>((~kind(lucy)<~>funny(lucy))))&
(![X]:((old(X)|rich(X))=>(~creative(X)&~kind(X))))&
(![X]:((~rich(X)<~>~patient(X))<=... | ~generous(fred) | [
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3468918743742327864672821
% SZS output start Proof for 3468918743742327864672821
5. ! [X0] : ((rich(X0) | old(X0)) => (~kind(X0) & ~creative(X0))) [input p4]
8. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~calm(X0) | rich(X0))) [input p7]
11. ? [X0] : rich(X0) <=> ? [X0] : (~generous(X0) | ~cre... | 0 |
Everyone who is quiet or not happy is either patient or happy and vice versa.
If someone is either tall or strong then someone is not curious and vice versa.
Everyone who is either generous or not curious is either not rich or kind.
Everyone who is both not patient and happy is tall or not wise.
Everyone who is humble ... | Lucy is curious. | entailment | (![X]:((quiet(X)|~happy(X))<=>(patient(X)<~>happy(X))))&
((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:(~curious(X))))&
(![X]:((generous(X)<~>~curious(X))=>(~rich(X)<~>kind(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)|~wise(X))))&
(![X]:(humble(X)<=>(~funny(X)&~curious(X))))&
(![X]:(~brave(X)<=>(~funny(X)&tall(X))))&
((?[X... | curious(lucy) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6309999883124741954512994
% SZS output start Proof for 6309999883124741954512994
1. ! [X0] : ((~happy(X0) | quiet(X0)) <=> (patient(X0) <~> happy(X0))) [input p0]
4. ! [X0] : ((happy(X0) & ~patient(X0)) => (~wise(X0) | tall(X0))) [input p3]
6. ! [X0] : (~brave(X0) <=> (tall(X0) & ~funny(X... | 0 |
Everyone who is both curious and brave is not brave and vice versa.
If paul is both not curious and wise then someone is quiet or not tall.
Everyone who is either calm or not kind is generous and vice versa.
Everyone who is not quiet or strong is both tall and not brave and vice versa.
Everyone who is happy or not stro... | Fred is not curious. | entailment | (![X]:((curious(X)&brave(X))<=>~brave(X)))&
(((~curious(paul)&wise(paul)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>generous(X)))&
(![X]:((~quiet(X)|strong(X))<=>(tall(X)&~brave(X))))&
(![X]:((happy(X)|~strong(X))=>(old(X)|~patient(X))))&
(((~humble(fred)&~happy(fred)))=>(?[X]:((rich(X)|~rich(X))))... | ~curious(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4733937340814472695243483
% SZS output start Proof for 4733937340814472695243483
1. ! [X0] : ((brave(X0) & curious(X0)) <=> ~brave(X0)) [input p0]
23. curious(fred) [input hypothesis]
34. ! [X0] : (((brave(X0) & curious(X0)) | brave(X0)) & (~brave(X0) | (~brave(X0) | ~curious(X0)))) [nnf ... | 0 |
If john is not generous or calm then someone is not tall or humble.
Everyone who is generous is both not tall and not quiet.
Everyone who is both not creative and not humble is either funny or happy and vice versa.
If someone is both brave and patient then alice is strong or quiet and vice versa.
Everyone who is not qu... | Fred is brave. | entailment | (((~generous(john)|calm(john)))=>(?[X]:((~tall(X)|humble(X)))))&
(![X]:(generous(X)=>(~tall(X)&~quiet(X))))&
(![X]:((~creative(X)&~humble(X))<=>(funny(X)<~>happy(X))))&
((?[X]:((brave(X)&patient(X))))<=>((strong(alice)|quiet(alice))))&
(![X]:((~quiet(X)|curious(X))=>(generous(X)&kind(X))))&
(![X]:((~patient(X)&wise(X))... | brave(fred) | [
"p1",
"p4",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1269767745289671814586265
% SZS output start Proof for 1269767745289671814586265
2. ! [X0] : (generous(X0) => (~quiet(X0) & ~tall(X0))) [input p1]
5. ! [X0] : ((curious(X0) | ~quiet(X0)) => (kind(X0) & generous(X0))) [input p4]
8. ! [X0] : ((quiet(X0) | happy(X0)) => (~generous(X0) <~> hu... | 0 |
Everyone who is both not calm and not wise is either not calm or not old. If someone is both not rich and not tall then someone is both not quiet and creative and vice versa. Everyone who is not generous or kind is either quiet or brave and vice versa. If someone is not humble then john is tall. If someone is either br... | Fred is not quiet. | contradiction | (![X]:((~calm(X)&~wise(X))=>(~calm(X)<~>~old(X))))&
((?[X]:((~rich(X)&~tall(X))))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((~generous(X)|kind(X))<=>(quiet(X)<~>brave(X))))&
((?[X]:(~humble(X)))=>(tall(john)))&
((?[X]:((brave(X)<~>~strong(X))))=>(?[X]:((~strong(X)<~>patient(X)))))&
(![X]:(~strong(X)=>(kind(X)&quiet(X... | ~quiet(fred) | [
"p0",
"p2",
"p11",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8167191343231854716553824
% SZS output start Proof for 8167191343231854716553824
1. ! [X0] : ((~wise(X0) & ~calm(X0)) => (~calm(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : ((kind(X0) | ~generous(X0)) <=> (quiet(X0) <~> brave(X0))) [input p2]
12. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> ~old(... | 0 |
If susan is both not patient and curious then alice is curious.
If fred is either not generous or not patient then susan is old or not rich and vice versa.
Everyone who is both strong and quiet is not tall and vice versa.
If mary is humble then someone is either not strong or not quiet.
Everyone who is not strong or no... | Fred is not brave. | neutral | (((~patient(susan)&curious(susan)))=>(curious(alice)))&
(((~generous(fred)<~>~patient(fred)))<=>((old(susan)|~rich(susan))))&
(![X]:((strong(X)&quiet(X))<=>~tall(X)))&
((humble(mary))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((~strong(X)|~generous(X))<=>(~old(X)|wise(X))))&
(![X]:(~brave(X)<=>(~tall(X)<~>~creative(X)... | ~brave(fred) | [] | null | 0 |
If fred is not curious then someone is either funny or old and vice versa.
If fred is either creative or not wise then someone is not kind and vice versa.
Everyone who is both brave and wise is both rich and tall.
If someone is both not kind and tall then fred is old or curious.
If lucy is not tall then someone is eith... | Susan is curious. | contradiction | ((~curious(fred))<=>(?[X]:((funny(X)<~>old(X)))))&
(((creative(fred)<~>~wise(fred)))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)&wise(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)&tall(X))))=>((old(fred)|curious(fred))))&
((~tall(lucy))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>~quiet(X)))&
(((stron... | curious(susan) | [
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6159337937146297797888336
% SZS output start Proof for 6159337937146297797888336
12. ! [X0] : ((strong(X0) | ~old(X0)) => (old(X0) & quiet(X0))) [input p11]
14. ! [X0] : (old(X0) <=> (~funny(X0) & creative(X0))) [input p13]
15. ! [X0] : ((~curious(X0) & calm(X0)) <=> ~funny(X0)) [input p1... | 0 |
Everyone who is quiet is generous or humble and vice versa. If someone is both not humble and creative then someone is both not happy and wise and vice versa. Everyone who is both not strong and humble is both old and not humble and vice versa. Everyone who is not kind or not creative is not creative or wise. Everyone ... | Alice is quiet. | entailment | (![X]:(quiet(X)<=>(generous(X)|humble(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>strong(X)))&
(((~... | quiet(alice) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2657549703034610388802772
% SZS output start Proof for 2657549703034610388802772
1. ! [X0] : (quiet(X0) <=> (humble(X0) | generous(X0))) [input p0]
22. generous(alice) & strong(alice) [input p21]
23. ~quiet(alice) [input hypothesis]
25. ! [X0] : ((humble(X0) | generous(X0)) => quiet(X0)) ... | 0 |
Everyone who is not happy or strong is both generous and patient and vice versa. If someone is not calm then fred is not curious. Everyone who is generous or not old is humble or not funny and vice versa. Everyone who is both not curious and not rich is wise and vice versa. Everyone who is humble or wise is rich or fun... | Susan is not brave. | neutral | (![X]:((~happy(X)|strong(X))<=>(generous(X)&patient(X))))&
((?[X]:(~calm(X)))=>(~curious(fred)))&
(![X]:((generous(X)|~old(X))<=>(humble(X)|~funny(X))))&
(![X]:((~curious(X)&~rich(X))<=>wise(X)))&
(![X]:((humble(X)|wise(X))=>(rich(X)|funny(X))))&
((~brave(alice))<=>(?[X]:((~wise(X)&~patient(X)))))&
(![X]:((calm(X)&old(... | ~brave(susan) | [] | null | 0 |
Everyone who is either strong or quiet is not rich or wise and vice versa. Everyone who is not rich is either not funny or patient and vice versa. Everyone who is both funny and creative is not curious and vice versa. Everyone who is not calm is humble or rich and vice versa. If alice is either not patient or not humbl... | Paul is not rich. | entailment | (![X]:((strong(X)<~>quiet(X))<=>(~rich(X)|wise(X))))&
(![X]:(~rich(X)<=>(~funny(X)<~>patient(X))))&
(![X]:((funny(X)&creative(X))<=>~curious(X)))&
(![X]:(~calm(X)<=>(humble(X)|rich(X))))&
(((~patient(alice)<~>~humble(alice)))=>(?[X]:((~strong(X)|strong(X)))))&
(((kind(susan)<~>~brave(susan)))=>(?[X]:(patient(X))))&
((?... | ~rich(paul) | [
"p0",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8812070193438640604129013
% SZS output start Proof for 8812070193438640604129013
1. ! [X0] : ((strong(X0) <~> quiet(X0)) <=> (wise(X0) | ~rich(X0))) [input p0]
8. ! [X0] : ((curious(X0) & ~rich(X0)) <=> (quiet(X0) | humble(X0))) [input p7]
12. ! [X0] : (~strong(X0) <=> (~patient(X0) | wis... | 0 |
Everyone who is both not generous and not tall is both calm and not humble.
Everyone who is either curious or patient is brave and vice versa.
Everyone who is calm is not old.
If someone is either not calm or not brave then fred is either rich or not happy and vice versa.
Everyone who is brave is either not generous or... | Mary is not funny. | entailment | (![X]:((~generous(X)&~tall(X))=>(calm(X)&~humble(X))))&
(![X]:((curious(X)<~>patient(X))<=>brave(X)))&
(![X]:(calm(X)=>~old(X)))&
((?[X]:((~calm(X)<~>~brave(X))))<=>((rich(fred)<~>~happy(fred))))&
(![X]:(brave(X)=>(~generous(X)<~>~old(X))))&
(![X]:((~creative(X)|happy(X))<=>(strong(X)|old(X))))&
((?[X]:((rich(X)<~>happ... | ~funny(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5073196635968996652269367
% SZS output start Proof for 5073196635968996652269367
24. ~funny(mary) & quiet(mary) [input p23]
25. funny(mary) [input hypothesis]
28. ~funny(mary) [pure predicate removal 24]
138. ~funny(mary) [cnf transformation 28]
139. funny(mary) [cnf transformation 25]
26... | 0 |
If someone is both not happy and not kind then someone is either not quiet or brave.
Everyone who is either not tall or quiet is either curious or kind and vice versa.
If someone is not patient then lucy is both not strong and old and vice versa.
Everyone who is not tall is both old and patient and vice versa.
If susan... | Fred is happy. | contradiction | ((?[X]:((~happy(X)&~kind(X))))=>(?[X]:((~quiet(X)<~>brave(X)))))&
(![X]:((~tall(X)<~>quiet(X))<=>(curious(X)<~>kind(X))))&
((?[X]:(~patient(X)))<=>((~strong(lucy)&old(lucy))))&
(![X]:(~tall(X)<=>(old(X)&patient(X))))&
(((~tall(susan)<~>quiet(susan)))<=>((~old(susan)&curious(susan))))&
((?[X]:(strong(X)))<=>(~strong(pau... | happy(fred) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6034596695302088818275096
% SZS output start Proof for 6034596695302088818275096
2. ! [X0] : ((~tall(X0) <~> quiet(X0)) <=> (curious(X0) <~> kind(X0))) [input p1]
4. ! [X0] : (~tall(X0) <=> (patient(X0) & old(X0))) [input p3]
7. ! [X0] : ((~tall(X0) <~> curious(X0)) => (funny(X0) & patien... | 0 |
Everyone who is either tall or brave is old and vice versa.
If lucy is both humble and not humble then someone is not happy and vice versa.
If someone is both generous and not kind then someone is funny.
If someone is both not kind and humble then john is either not happy or humble and vice versa.
Everyone who is happy... | Paul is not old. | contradiction | (![X]:((tall(X)<~>brave(X))<=>old(X)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:(~happy(X))))&
((?[X]:((generous(X)&~kind(X))))=>(?[X]:(funny(X))))&
((?[X]:((~kind(X)&humble(X))))<=>((~happy(john)<~>humble(john))))&
(![X]:(happy(X)=>(rich(X)&~calm(X))))&
((?[X]:((kind(X)&curious(X))))=>((~happy(alice)|humble(alice))))&... | ~old(paul) | [
"p4",
"p8",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5436893456775669394754406
% SZS output start Proof for 5436893456775669394754406
5. ! [X0] : (happy(X0) => (~calm(X0) & rich(X0))) [input p4]
9. ? [X0] : (~calm(X0) | patient(X0)) => (~patient(paul) & kind(paul)) [input p8]
15. ! [X0] : ((~funny(X0) | brave(X0)) => (old(X0) | ~kind(X0))) ... | 0 |
If paul is curious then someone is either creative or old.
Everyone who is not wise or rich is wise and vice versa.
Everyone who is either strong or not quiet is not calm or old and vice versa.
Everyone who is humble is rich or humble.
Everyone who is not curious or not creative is both not old and not curious and vice... | Susan is rich. | entailment | ((curious(paul))=>(?[X]:((creative(X)<~>old(X)))))&
(![X]:((~wise(X)|rich(X))<=>wise(X)))&
(![X]:((strong(X)<~>~quiet(X))<=>(~calm(X)|old(X))))&
(![X]:(humble(X)=>(rich(X)|humble(X))))&
(![X]:((~curious(X)|~creative(X))<=>(~old(X)&~curious(X))))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:((tall(X)<~>wise(X))=>wise(X)))&
... | rich(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2776629095377720452103763
% SZS output start Proof for 2776629095377720452103763
2. ! [X0] : ((rich(X0) | ~wise(X0)) <=> wise(X0)) [input p1]
21. ~rich(susan) [input hypothesis]
37. ! [X0] : (((rich(X0) | ~wise(X0)) | ~wise(X0)) & (wise(X0) | (~rich(X0) & wise(X0)))) [nnf transformation 2... | 0 |
If someone is either not wise or not humble then someone is wise.
If someone is not wise then someone is not rich or humble and vice versa.
Everyone who is patient is either brave or not patient and vice versa.
If paul is funny then fred is strong and vice versa.
Everyone who is either not humble or not rich is not str... | Lucy is old. | entailment | ((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:(wise(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:(patient(X)<=>(brave(X)<~>~patient(X))))&
((funny(paul))<=>(strong(fred)))&
(![X]:((~humble(X)<~>~rich(X))<=>(~strong(X)|~humble(X))))&
(![X]:((rich(X)|~old(X))=>(tall(X)&old(X))))&
(![X]:((patient(X)&calm(X... | old(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2654355284063246666702879
% SZS output start Proof for 2654355284063246666702879
6. ! [X0] : ((~old(X0) | rich(X0)) => (old(X0) & tall(X0))) [input p5]
24. ~old(lucy) [input hypothesis]
30. ! [X0] : ((old(X0) & tall(X0)) | (old(X0) & ~rich(X0))) [ennf transformation 6]
105. old(X0) | old(... | 0 |
If someone is either calm or happy then someone is either not wise or happy and vice versa. Everyone who is happy is both not brave and tall and vice versa. If alice is not humble or not happy then paul is either tall or not brave. If someone is either brave or humble then someone is not patient or old and vice versa. ... | John is generous. | neutral | ((?[X]:((calm(X)<~>happy(X))))<=>(?[X]:((~wise(X)<~>happy(X)))))&
(![X]:(happy(X)<=>(~brave(X)&tall(X))))&
(((~humble(alice)|~happy(alice)))=>((tall(paul)<~>~brave(paul))))&
((?[X]:((brave(X)<~>humble(X))))<=>(?[X]:((~patient(X)|old(X)))))&
(((patient(john)|humble(john)))<=>(brave(susan)))&
((?[X]:((brave(X)|~brave(X))... | generous(john) | [] | null | 0 |
If paul is curious then susan is either quiet or not wise. Everyone who is either not old or wise is either not patient or creative and vice versa. If alice is both wise and not happy then someone is not wise or not strong. If someone is either not humble or happy then someone is either calm or wise. Everyone who is ei... | Mary is funny. | entailment | ((curious(paul))=>((quiet(susan)<~>~wise(susan))))&
(![X]:((~old(X)<~>wise(X))<=>(~patient(X)<~>creative(X))))&
(((wise(alice)&~happy(alice)))=>(?[X]:((~wise(X)|~strong(X)))))&
((?[X]:((~humble(X)<~>happy(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:((quiet(X)<~>~wise(X))<=>(kind(X)|~patient(X))))&
(((~patient(john)|fun... | funny(mary) | [
"p1",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4490826296703819952997339
% SZS output start Proof for 4490826296703819952997339
2. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (~patient(X0) <~> creative(X0))) [input p1]
11. ! [X0] : ((creative(X0) <~> patient(X0)) <=> ~old(X0)) [input p10]
17. funny(mary) <~> ~wise(mary) [input p16]
24. ~fun... | 0 |
Everyone who is old or not brave is kind or rich.
Everyone who is either not creative or kind is either quiet or not funny and vice versa.
Everyone who is not strong or not wise is either not quiet or not humble and vice versa.
Everyone who is either not curious or tall is either old or brave and vice versa.
If susan i... | Paul is wise. | entailment | (![X]:((old(X)|~brave(X))=>(kind(X)|rich(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(quiet(X)<~>~funny(X))))&
(![X]:((~strong(X)|~wise(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(old(X)<~>brave(X))))&
(((patient(susan)<~>~kind(susan)))=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:((~tall(X)|humble(X))<=... | wise(paul) | [
"p3",
"p5",
"p9",
"p10",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2548727107725189274248457
% SZS output start Proof for 2548727107725189274248457
4. ! [X0] : ((~curious(X0) <~> tall(X0)) <=> (old(X0) <~> brave(X0))) [input p3]
6. ! [X0] : ((humble(X0) | ~tall(X0)) <=> ~curious(X0)) [input p5]
10. (old(paul) | ~brave(paul)) <=> ? [X0] : wise(X0) [input ... | 0 |
If someone is both not generous and funny then susan is tall or not creative. Everyone who is both not wise and quiet is not wise. Everyone who is both creative and not patient is not kind or not wise and vice versa. Everyone who is either strong or not tall is not tall or not calm. Everyone who is either not creative ... | Mary is tall. | entailment | ((?[X]:((~generous(X)&funny(X))))=>((tall(susan)|~creative(susan))))&
(![X]:((~wise(X)&quiet(X))=>~wise(X)))&
(![X]:((creative(X)&~patient(X))<=>(~kind(X)|~wise(X))))&
(![X]:((strong(X)<~>~tall(X))=>(~tall(X)|~calm(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~strong(X)|strong(X))))&
(![X]:((generous(X)|~rich(X))=>(~humbl... | tall(mary) | [
"p2",
"p4",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1460883294362274435896222
% SZS output start Proof for 1460883294362274435896222
3. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~wise(X0) | ~kind(X0))) [input p2]
5. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (strong(X0) | ~strong(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | generous(X0)) ... | 0 |
If someone is both rich and happy then fred is not creative or rich.
If lucy is both creative and not generous then paul is not creative or strong and vice versa.
If someone is both curious and not strong then someone is creative and vice versa.
If susan is either funny or kind then alice is funny.
If someone is not wi... | Lucy is strong. | contradiction | ((?[X]:((rich(X)&happy(X))))=>((~creative(fred)|rich(fred))))&
(((creative(lucy)&~generous(lucy)))<=>((~creative(paul)|strong(paul))))&
((?[X]:((curious(X)&~strong(X))))<=>(?[X]:(creative(X))))&
(((funny(susan)<~>kind(susan)))=>(funny(alice)))&
((?[X]:((~wise(X)|~brave(X))))<=>((happy(susan)|~old(susan))))&
(((happy(su... | strong(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9100068226896515744768293
% SZS output start Proof for 9100068226896515744768293
18. ~strong(lucy) [input p17]
24. strong(lucy) [input hypothesis]
133. ~strong(lucy) [cnf transformation 18]
142. strong(lucy) [cnf transformation 24]
346. $false [subsumption resolution 142,133]
% SZS output... | 0 |
If someone is not generous then someone is either not kind or old.
Everyone who is old is both tall and patient and vice versa.
If fred is not brave or not rich then someone is both not wise and not curious.
Everyone who is both not funny and strong is both brave and not funny.
If fred is not rich then someone is eithe... | Mary is not rich. | contradiction | ((?[X]:(~generous(X)))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:(old(X)<=>(tall(X)&patient(X))))&
(((~brave(fred)|~rich(fred)))=>(?[X]:((~wise(X)&~curious(X)))))&
(![X]:((~funny(X)&strong(X))=>(brave(X)&~funny(X))))&
((~rich(fred))=>(?[X]:((~humble(X)<~>~creative(X)))))&
(((strong(alice)&~curious(alice)))<=>(?[X]:(~tall(X... | ~rich(mary) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5846839600483541297521656
% SZS output start Proof for 5846839600483541297521656
11. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (funny(X0) & rich(X0))) [input p10]
13. ! [X0] : ((strong(X0) | happy(X0)) => ~strong(X0)) [input p12]
25. ~rich(mary) [input hypothesis]
36. ! [X0] : (~strong(X0) ... | 0 |
Everyone who is either not wise or curious is not kind. Everyone who is both wise and brave is both not rich and brave and vice versa. If someone is either strong or generous then someone is brave and vice versa. Everyone who is not humble is not curious and vice versa. If alice is quiet then someone is both not funny ... | Alice is not creative. | entailment | (![X]:((~wise(X)<~>curious(X))=>~kind(X)))&
(![X]:((wise(X)&brave(X))<=>(~rich(X)&brave(X))))&
((?[X]:((strong(X)<~>generous(X))))<=>(?[X]:(brave(X))))&
(![X]:(~humble(X)<=>~curious(X)))&
((quiet(alice))<=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((rich(X)<~>~curious(X))<=>kind(X)))&
((?[X]:((~old(X)<~>rich(X))))<=>((~wi... | ~creative(alice) | [
"p4",
"p7",
"p8",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4401836790680851990385968
% SZS output start Proof for 4401836790680851990385968
5. quiet(alice) <=> ? [X0] : (~happy(X0) & ~funny(X0)) [input p4]
8. ? [X0] : ~brave(X0) <=> (funny(alice) <~> patient(alice)) [input p7]
9. ! [X0] : ((~creative(X0) <~> rich(X0)) => curious(X0)) [input p8]
1... | 0 |
If john is both not strong and brave then fred is both not generous and creative and vice versa.
Everyone who is not old or not generous is humble.
If fred is not old then someone is either not rich or not kind.
Everyone who is either strong or not generous is either not curious or happy.
If someone is both creative an... | John is brave. | neutral | (((~strong(john)&brave(john)))<=>((~generous(fred)&creative(fred))))&
(![X]:((~old(X)|~generous(X))=>humble(X)))&
((~old(fred))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((strong(X)<~>~generous(X))=>(~curious(X)<~>happy(X))))&
((?[X]:((creative(X)&rich(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~strong(X)|~creative(X))=>~str... | brave(john) | [] | null | 0 |
Everyone who is old or wise is both not happy and calm and vice versa.
If lucy is both quiet and not tall then lucy is not rich.
Everyone who is both not old and patient is strong or curious and vice versa.
If someone is tall then mary is not creative and vice versa.
If someone is not quiet then someone is either not q... | Lucy is old. | contradiction | (![X]:((old(X)|wise(X))<=>(~happy(X)&calm(X))))&
(((quiet(lucy)&~tall(lucy)))=>(~rich(lucy)))&
(![X]:((~old(X)&patient(X))<=>(strong(X)|curious(X))))&
((?[X]:(tall(X)))<=>(~creative(mary)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>(patient(X)<~>~rich(X))))&
(![X]:((quiet(... | old(lucy) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 574712219426052755568462
% SZS output start Proof for 574712219426052755568462
1. ! [X0] : ((wise(X0) | old(X0)) <=> (calm(X0) & ~happy(X0))) [input p0]
3. ! [X0] : ((patient(X0) & ~old(X0)) <=> (curious(X0) | strong(X0))) [input p2]
10. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> curious(X0))... | 0 |
Everyone who is not wise is not creative or wise and vice versa.
If someone is both generous and creative then fred is either not brave or wise.
Everyone who is either happy or not wise is either happy or rich and vice versa.
If someone is both not old and funny then someone is old and vice versa.
If john is both not p... | Lucy is rich. | entailment | (![X]:(~wise(X)<=>(~creative(X)|wise(X))))&
((?[X]:((generous(X)&creative(X))))=>((~brave(fred)<~>wise(fred))))&
(![X]:((happy(X)<~>~wise(X))<=>(happy(X)<~>rich(X))))&
((?[X]:((~old(X)&funny(X))))<=>(?[X]:(old(X))))&
(((~patient(john)&~strong(john)))=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((brave(X)|rich(X))=>(generous... | rich(lucy) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9127217900491591579948258
% SZS output start Proof for 9127217900491591579948258
1. ! [X0] : (~wise(X0) <=> (wise(X0) | ~creative(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~wise(X0)) <=> (happy(X0) <~> rich(X0))) [input p2]
20. ~rich(lucy) [input hypothesis]
30. ! [X0] : ((~wise(X0) | ... | 0 |
Everyone who is not tall or not kind is either not tall or not calm and vice versa.
Everyone who is both patient and rich is not calm or calm.
Everyone who is either not old or not kind is both wise and not tall.
Everyone who is both not wise and not humble is both tall and not happy and vice versa.
Everyone who is not... | Susan is not brave. | neutral | (![X]:((~tall(X)|~kind(X))<=>(~tall(X)<~>~calm(X))))&
(![X]:((patient(X)&rich(X))=>(~calm(X)|calm(X))))&
(![X]:((~old(X)<~>~kind(X))=>(wise(X)&~tall(X))))&
(![X]:((~wise(X)&~humble(X))<=>(tall(X)&~happy(X))))&
(![X]:(~brave(X)=>(curious(X)|brave(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((~funny(X)|rich(X)))))&
(... | ~brave(susan) | [] | null | 0 |
Everyone who is not tall or quiet is either not humble or brave.
If someone is both funny and wise then someone is not humble or not strong and vice versa.
If someone is quiet or humble then someone is either wise or not kind and vice versa.
Everyone who is not rich or calm is rich.
If someone is either humble or not f... | Fred is wise. | neutral | (![X]:((~tall(X)|quiet(X))=>(~humble(X)<~>brave(X))))&
((?[X]:((funny(X)&wise(X))))<=>(?[X]:((~humble(X)|~strong(X)))))&
((?[X]:((quiet(X)|humble(X))))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((~rich(X)|calm(X))=>rich(X)))&
((?[X]:((humble(X)<~>~funny(X))))<=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:((~generous(X)|old(... | wise(fred) | [] | null | 0 |
Everyone who is not tall or not rich is both wise and not happy and vice versa. If someone is strong or happy then someone is either not patient or not wise. Everyone who is either strong or old is both not humble and not strong. If someone is not generous then susan is either not quiet or not kind. Everyone who is bot... | Lucy is not happy. | entailment | (![X]:((~tall(X)|~rich(X))<=>(wise(X)&~happy(X))))&
((?[X]:((strong(X)|happy(X))))=>(?[X]:((~patient(X)<~>~wise(X)))))&
(![X]:((strong(X)<~>old(X))=>(~humble(X)&~strong(X))))&
((?[X]:(~generous(X)))=>((~quiet(susan)<~>~kind(susan))))&
(![X]:((creative(X)&rich(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((curious(X)<~>~tall(X))... | ~happy(lucy) | [
"p0",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 394992976999096094031863
% SZS output start Proof for 394992976999096094031863
1. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> (~happy(X0) & wise(X0))) [input p0]
6. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> humble(X0)) [input p5]
15. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa. If fred is not wise or not humble then someone is either brave or not happy and vice versa. If paul is not wise or tall then fred is not strong. Everyone who is rich or not strong is not brave or not kind and vice versa. Everyone wh... | Fred is old. | neutral | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(fred)|~humble(fred)))<=>(?[X]:((brave(X)<~>~happy(X)))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(al... | old(fred) | [] | null | 0 |
Everyone who is not quiet or not funny is generous or not patient and vice versa. Everyone who is tall or not humble is not brave or tall and vice versa. Everyone who is not curious or quiet is either not strong or not creative. Everyone who is not old or not calm is not brave. If someone is both not tall and kind then... | John is generous. | neutral | (![X]:((~quiet(X)|~funny(X))<=>(generous(X)|~patient(X))))&
(![X]:((tall(X)|~humble(X))<=>(~brave(X)|tall(X))))&
(![X]:((~curious(X)|quiet(X))=>(~strong(X)<~>~creative(X))))&
(![X]:((~old(X)|~calm(X))=>~brave(X)))&
((?[X]:((~tall(X)&kind(X))))=>(?[X]:(wise(X))))&
(((~tall(susan)|wise(susan)))<=>(?[X]:((~funny(X)|~wise(... | generous(john) | [] | null | 0 |
If someone is patient then john is both rich and not tall and vice versa.
Everyone who is both rich and humble is kind and vice versa.
Everyone who is both not wise and not tall is curious or tall and vice versa.
Everyone who is either not happy or happy is both brave and strong and vice versa.
If susan is not patient ... | John is not creative. | neutral | ((?[X]:(patient(X)))<=>((rich(john)&~tall(john))))&
(![X]:((rich(X)&humble(X))<=>kind(X)))&
(![X]:((~wise(X)&~tall(X))<=>(curious(X)|tall(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(brave(X)&strong(X))))&
(((~patient(susan)|tall(susan)))<=>(?[X]:(tall(X))))&
(![X]:(~creative(X)=>(~old(X)|wise(X))))&
(((~strong(fred)&~brave... | ~creative(john) | [] | null | 0 |
Everyone who is curious is not generous and vice versa. Everyone who is either strong or humble is old. Everyone who is not creative is happy or wise and vice versa. Everyone who is not curious or not creative is not kind and vice versa. Everyone who is both not kind and humble is not wise or not rich. Everyone who is ... | John is not creative. | entailment | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((strong(X)<~>humble(X))=>old(X)))&
(![X]:(~creative(X)<=>(happy(X)|wise(X))))&
(![X]:((~curious(X)|~creative(X))<=>~kind(X)))&
(![X]:((~kind(X)&humble(X))=>(~wise(X)|~rich(X))))&
(![X]:((~rich(X)|curious(X))=>(~wise(X)&generous(X))))&
(![X]:((~rich(X)&~calm(X))=>~kind(X)))&
(!... | ~creative(john) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3164798377097759260782783
% SZS output start Proof for 3164798377097759260782783
1. ! [X0] : (curious(X0) <=> ~generous(X0)) [input p0]
4. ! [X0] : ((~creative(X0) | ~curious(X0)) <=> ~kind(X0)) [input p3]
6. ! [X0] : ((curious(X0) | ~rich(X0)) => (generous(X0) & ~wise(X0))) [input p5]
8.... | 0 |
If mary is not humble then someone is brave or not curious and vice versa.
If someone is either kind or rich then someone is both brave and not humble and vice versa.
If someone is quiet then someone is either not rich or funny.
If someone is happy then john is not humble or curious and vice versa.
If fred is patient o... | Alice is not humble. | neutral | ((~humble(mary))<=>(?[X]:((brave(X)|~curious(X)))))&
((?[X]:((kind(X)<~>rich(X))))<=>(?[X]:((brave(X)&~humble(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((~rich(X)<~>funny(X)))))&
((?[X]:(happy(X)))<=>((~humble(john)|curious(john))))&
(((patient(fred)|wise(fred)))<=>((~generous(lucy)<~>rich(lucy))))&
(((~wise(fred)|humble(fred)... | ~humble(alice) | [] | null | 0 |
Everyone who is either not calm or old is both calm and not strong and vice versa.
If alice is not brave then john is both not creative and not kind.
If someone is both happy and patient then fred is old or strong and vice versa.
Everyone who is not tall is not quiet.
If someone is both not wise and calm then someone i... | Mary is happy. | entailment | (![X]:((~calm(X)<~>old(X))<=>(calm(X)&~strong(X))))&
((~brave(alice))=>((~creative(john)&~kind(john))))&
((?[X]:((happy(X)&patient(X))))<=>((old(fred)|strong(fred))))&
(![X]:(~tall(X)=>~quiet(X)))&
((?[X]:((~wise(X)&calm(X))))=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((~patient(X)&~curious(X))<=>(strong(X)|creative(X))... | happy(mary) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1721627658593662669592087
% SZS output start Proof for 1721627658593662669592087
1. ! [X0] : ((~calm(X0) <~> old(X0)) <=> (~strong(X0) & calm(X0))) [input p0]
3. ? [X0] : (patient(X0) & happy(X0)) <=> (strong(fred) | old(fred)) [input p2]
6. ! [X0] : ((~curious(X0) & ~patient(X0)) <=> (cr... | 0 |
Everyone who is not funny is both wise and funny and vice versa.
If paul is not tall then someone is not quiet.
Everyone who is happy or not wise is not happy or not generous and vice versa.
If someone is not wise then mary is either not rich or not happy and vice versa.
Everyone who is both funny and not wise is eithe... | Mary is not wise. | entailment | (![X]:(~funny(X)<=>(wise(X)&funny(X))))&
((~tall(paul))=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)|~wise(X))<=>(~happy(X)|~generous(X))))&
((?[X]:(~wise(X)))<=>((~rich(mary)<~>~happy(mary))))&
(![X]:((funny(X)&~wise(X))<=>(strong(X)<~>brave(X))))&
(((~brave(mary)&~wise(mary)))<=>((funny(susan)|~happy(susan))))&
((~patient(... | ~wise(mary) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1330962331721314683840848
% SZS output start Proof for 1330962331721314683840848
1. ! [X0] : (~funny(X0) <=> (funny(X0) & wise(X0))) [input p0]
6. (~wise(mary) & ~brave(mary)) <=> (~happy(susan) | funny(susan)) [input p5]
23. wise(mary) [input hypothesis]
31. ! [X0] : ((~funny(X0) | (~fun... | 0 |
If someone is both generous and not patient then mary is strong or calm. Everyone who is both not curious and not tall is both old and not strong. If mary is both humble and quiet then susan is either tall or strong and vice versa. If john is not creative then john is not rich or not calm and vice versa. Everyone who i... | John is tall. | entailment | ((?[X]:((generous(X)&~patient(X))))=>((strong(mary)|calm(mary))))&
(![X]:((~curious(X)&~tall(X))=>(old(X)&~strong(X))))&
(((humble(mary)&quiet(mary)))<=>((tall(susan)<~>strong(susan))))&
((~creative(john))<=>((~rich(john)|~calm(john))))&
(![X]:(~funny(X)=>~quiet(X)))&
(![X]:((calm(X)|~funny(X))=>(patient(X)&rich(X))))&... | tall(john) | [
"p1",
"p7",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4307763464893298521439748
% SZS output start Proof for 4307763464893298521439748
2. ! [X0] : ((~tall(X0) & ~curious(X0)) => (~strong(X0) & old(X0))) [input p1]
8. ! [X0] : (brave(X0) => (~old(X0) <~> tall(X0))) [input p7]
19. ~curious(john) [input p18]
24. brave(john) [input p23]
25. ~tal... | 0 |
Everyone who is either not calm or quiet is humble or brave.
If someone is either creative or not tall then someone is either humble or rich and vice versa.
Everyone who is both not patient and not quiet is not strong or not kind.
If mary is either wise or not generous then mary is either quiet or not happy.
Everyone w... | Lucy is generous. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(humble(X)|brave(X))))&
((?[X]:((creative(X)<~>~tall(X))))<=>(?[X]:((humble(X)<~>rich(X)))))&
(![X]:((~patient(X)&~quiet(X))=>(~strong(X)|~kind(X))))&
(((wise(mary)<~>~generous(mary)))=>((quiet(mary)<~>~happy(mary))))&
(![X]:(creative(X)<=>(strong(X)&wise(X))))&
(![X]:(~generous(X)=>kind(X... | generous(lucy) | [] | null | 0 |
Everyone who is not calm is not kind or not funny and vice versa. If someone is either not funny or strong then someone is either rich or quiet and vice versa. If alice is both quiet and not funny then someone is either not tall or brave. Everyone who is either not generous or strong is both patient and generous and vi... | Fred is not happy. | contradiction | (![X]:(~calm(X)<=>(~kind(X)|~funny(X))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(((quiet(alice)&~funny(alice)))=>(?[X]:((~tall(X)<~>brave(X)))))&
(![X]:((~generous(X)<~>strong(X))<=>(patient(X)&generous(X))))&
(![X]:((wise(X)&happy(X))<=>~calm(X)))&
((?[X]:((~generous(X)<~>creative(X))))=>... | ~happy(fred) | [
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5983100472965584435471067
% SZS output start Proof for 5983100472965584435471067
5. ! [X0] : ((happy(X0) & wise(X0)) <=> ~calm(X0)) [input p4]
12. ! [X0] : ((~happy(X0) | wise(X0)) <=> (~calm(X0) | ~kind(X0))) [input p11]
15. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~curious(X0) & curious(... | 0 |
Everyone who is humble is either not patient or funny.
If someone is both quiet and not humble then someone is both not calm and not curious and vice versa.
If someone is either not happy or not creative then someone is either kind or curious.
Everyone who is not rich is curious or rich.
Everyone who is both not happy ... | Alice is not brave. | neutral | (![X]:(humble(X)=>(~patient(X)<~>funny(X))))&
((?[X]:((quiet(X)&~humble(X))))<=>(?[X]:((~calm(X)&~curious(X)))))&
((?[X]:((~happy(X)<~>~creative(X))))=>(?[X]:((kind(X)<~>curious(X)))))&
(![X]:(~rich(X)=>(curious(X)|rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(wise(X)<~>humble(X))))&
((?[X]:((~funny(X)&happy(X))))<=>(c... | ~brave(alice) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either happy or not calm is either not happy or not calm. Everyone who is not curious is not strong. If alice is quiet or not kind t... | Mary is not strong. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~happy(X)<~>~calm(X))))&
(![X]:(~curious(X)=>~strong(X)))&
(((quiet(alice)|~kind(alice)))<=>((~generous(susan)<~>~rich(susan))))&
((?[X]:(~brave(X)))<=>(happy(john)))&
((~curious(j... | ~strong(mary) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5546247909389695596357312
% SZS output start Proof for 5546247909389695596357312
1. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (~tall(X0) <~> ~happy(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
4. ! [X0] : (~curious(X0) => ~strong(X0)) [input... | 0 |
If paul is generous then someone is either not brave or strong and vice versa.
If someone is happy or not strong then fred is not humble.
Everyone who is either rich or not funny is either not creative or not brave.
If someone is generous then someone is both calm and not kind.
If john is not old then lucy is not creat... | Lucy is tall. | entailment | ((generous(paul))<=>(?[X]:((~brave(X)<~>strong(X)))))&
((?[X]:((happy(X)|~strong(X))))=>(~humble(fred)))&
(![X]:((rich(X)<~>~funny(X))=>(~creative(X)<~>~brave(X))))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)&~kind(X)))))&
((~old(john))<=>((~creative(lucy)|creative(lucy))))&
(![X]:(funny(X)=>(~humble(X)&~generous(X))))&
(!... | tall(lucy) | [
"p2",
"p5",
"p9",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5348384218443926436841454
% SZS output start Proof for 5348384218443926436841454
3. ! [X0] : ((rich(X0) <~> ~funny(X0)) => (~creative(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : (funny(X0) => (~generous(X0) & ~humble(X0))) [input p5]
10. ! [X0] : (tall(X0) <=> creative(X0)) [input p9]
13.... | 0 |
If someone is both not rich and not wise then someone is either calm or curious.
Everyone who is calm or not creative is humble or not humble.
Everyone who is not rich or quiet is not patient and vice versa.
Everyone who is both not generous and not old is not funny and vice versa.
Everyone who is either happy or not k... | Lucy is not wise. | neutral | ((?[X]:((~rich(X)&~wise(X))))=>(?[X]:((calm(X)<~>curious(X)))))&
(![X]:((calm(X)|~creative(X))=>(humble(X)|~humble(X))))&
(![X]:((~rich(X)|quiet(X))<=>~patient(X)))&
(![X]:((~generous(X)&~old(X))<=>~funny(X)))&
(![X]:((happy(X)<~>~kind(X))=>(~wise(X)|strong(X))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>(?[X]:((kind(X)|~kind... | ~wise(lucy) | [] | null | 0 |
Everyone who is not calm or happy is either quiet or not calm. Everyone who is not creative is both kind and not calm. Everyone who is not rich or old is either not wise or not humble. Everyone who is not brave or humble is strong and vice versa. If susan is not kind then john is not calm or not generous. If mary is ei... | Lucy is not strong. | contradiction | (![X]:((~calm(X)|happy(X))=>(quiet(X)<~>~calm(X))))&
(![X]:(~creative(X)=>(kind(X)&~calm(X))))&
(![X]:((~rich(X)|old(X))=>(~wise(X)<~>~humble(X))))&
(![X]:((~brave(X)|humble(X))<=>strong(X)))&
((~kind(susan))=>((~calm(john)|~generous(john))))&
(((strong(mary)<~>generous(mary)))=>((tall(mary)|~kind(mary))))&
(![X]:((~ri... | ~strong(lucy) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 179039420191323051413323
% SZS output start Proof for 179039420191323051413323
4. ! [X0] : ((humble(X0) | ~brave(X0)) <=> strong(X0)) [input p3]
18. ~brave(lucy) [input p17]
24. ~strong(lucy) [input hypothesis]
40. ! [X0] : (((humble(X0) | ~brave(X0)) | ~strong(X0)) & (strong(X0) | (~humb... | 0 |
Everyone who is either not strong or strong is both not old and calm and vice versa.
Everyone who is patient is both funny and tall.
If mary is not quiet then mary is either strong or happy.
If mary is either kind or rich then alice is not funny or wise.
If someone is funny then someone is not humble and vice versa.
Ev... | John is humble. | entailment | (![X]:((~strong(X)<~>strong(X))<=>(~old(X)&calm(X))))&
(![X]:(patient(X)=>(funny(X)&tall(X))))&
((~quiet(mary))=>((strong(mary)<~>happy(mary))))&
(((kind(mary)<~>rich(mary)))=>((~funny(alice)|wise(alice))))&
((?[X]:(funny(X)))<=>(?[X]:(~humble(X))))&
(![X]:((funny(X)<~>calm(X))=>humble(X)))&
(((~wise(john)&calm(john)))... | humble(john) | [
"p0",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6223252770718986295519948
% SZS output start Proof for 6223252770718986295519948
1. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (calm(X0) & ~old(X0))) [input p0]
10. ! [X0] : (old(X0) <=> (~brave(X0) & ~tall(X0))) [input p9]
12. (strong(john) <~> humble(john)) <=> (~curious(mary) | ~creati... | 0 |
If mary is not tall or tall then someone is either patient or creative. Everyone who is either not quiet or rich is not kind. Everyone who is not curious is not calm and vice versa. Everyone who is not happy is both not happy and not brave and vice versa. If someone is tall then mary is funny and vice versa. If john is... | Fred is not strong. | neutral | (((~tall(mary)|tall(mary)))=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((~quiet(X)<~>rich(X))=>~kind(X)))&
(![X]:(~curious(X)<=>~calm(X)))&
(![X]:(~happy(X)<=>(~happy(X)&~brave(X))))&
((?[X]:(tall(X)))<=>(funny(mary)))&
((~curious(john))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((~rich(X)&funny(X))))=>(?[X]:((~ge... | ~strong(fred) | [] | null | 0 |
Everyone who is either not calm or quiet is not brave or not wise. Everyone who is both tall and not funny is not happy or not quiet. Everyone who is not brave or not strong is either not brave or kind and vice versa. If someone is strong then someone is humble and vice versa. If someone is not old then someone is both... | John is not funny. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(~brave(X)|~wise(X))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)|~quiet(X))))&
(![X]:((~brave(X)|~strong(X))<=>(~brave(X)<~>kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:(humble(X))))&
((?[X]:(~old(X)))=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~curious(X)|~calm(X))=>(~funny(X)&~calm(X))))&
(((~fu... | ~funny(john) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5542015275630497566873617
% SZS output start Proof for 5542015275630497566873617
6. ! [X0] : ((~calm(X0) | ~curious(X0)) => (~calm(X0) & ~funny(X0))) [input p5]
11. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p10]
24. funny(john) [input hypothesis]
34. ! [X0] : ((~calm(X0) & ~funny(X0)) |... | 0 |
If paul is both happy and curious then paul is not humble and vice versa.
If someone is both not patient and not humble then someone is not funny and vice versa.
If someone is both kind and humble then fred is not strong and vice versa.
Everyone who is both not strong and not wise is both not patient and not happy.
If ... | Alice is not curious. | neutral | (((happy(paul)&curious(paul)))<=>(~humble(paul)))&
((?[X]:((~patient(X)&~humble(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((kind(X)&humble(X))))<=>(~strong(fred)))&
(![X]:((~strong(X)&~wise(X))=>(~patient(X)&~happy(X))))&
(((happy(susan)<~>generous(susan)))=>(?[X]:((~rich(X)&generous(X)))))&
((?[X]:((~wise(X)<~>~happy(X))))<... | ~curious(alice) | [] | null | 0 |
Everyone who is either tall or quiet is either wise or not creative and vice versa.
Everyone who is either old or strong is strong and vice versa.
Everyone who is not curious or not creative is patient or not generous and vice versa.
Everyone who is rich or patient is not funny.
Everyone who is both not wise and not ge... | Susan is quiet. | neutral | (![X]:((tall(X)<~>quiet(X))<=>(wise(X)<~>~creative(X))))&
(![X]:((old(X)<~>strong(X))<=>strong(X)))&
(![X]:((~curious(X)|~creative(X))<=>(patient(X)|~generous(X))))&
(![X]:((rich(X)|patient(X))=>~funny(X)))&
(![X]:((~wise(X)&~generous(X))<=>funny(X)))&
(![X]:((~rich(X)<~>humble(X))=>(~tall(X)&quiet(X))))&
((?[X]:((crea... | quiet(susan) | [] | null | 0 |
Everyone who is not old is strong or not quiet and vice versa.
If lucy is both not strong and tall then someone is patient and vice versa.
If fred is tall then someone is happy or rich and vice versa.
Everyone who is not humble or not strong is both old and happy and vice versa.
If someone is both funny and rich then a... | Susan is not creative. | neutral | (![X]:(~old(X)<=>(strong(X)|~quiet(X))))&
(((~strong(lucy)&tall(lucy)))<=>(?[X]:(patient(X))))&
((tall(fred))<=>(?[X]:((happy(X)|rich(X)))))&
(![X]:((~humble(X)|~strong(X))<=>(old(X)&happy(X))))&
((?[X]:((funny(X)&rich(X))))=>((~creative(alice)|~funny(alice))))&
((?[X]:((old(X)&brave(X))))=>((old(susan)<~>~tall(susan))... | ~creative(susan) | [] | null | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | Mary is rich. | contradiction | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | rich(mary) | [
"p2",
"p3",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5992500866808996383730393
% SZS output start Proof for 5992500866808996383730393
3. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p2]
4. ? [X0] : (old(X0) <~> ~wise(X0)) <=> ? [X0] : (~strong(X0) & ~calm(X0)) [input p3]
7. ? [X0] : (~old(X0) | kind(X0)) => ~rich(mary) [input... | 0 |
Everyone who is either old or not curious is not happy.
Everyone who is not brave is not old or rich and vice versa.
Everyone who is old or not curious is both not creative and funny and vice versa.
Everyone who is kind is not funny and vice versa.
If someone is not calm or brave then someone is both not brave and not ... | Paul is wise. | entailment | (![X]:((old(X)<~>~curious(X))=>~happy(X)))&
(![X]:(~brave(X)<=>(~old(X)|rich(X))))&
(![X]:((old(X)|~curious(X))<=>(~creative(X)&funny(X))))&
(![X]:(kind(X)<=>~funny(X)))&
((?[X]:((~calm(X)|brave(X))))<=>(?[X]:((~brave(X)&~old(X)))))&
((?[X]:(wise(X)))<=>(?[X]:(calm(X))))&
(((~kind(lucy)<~>creative(lucy)))=>((~generous(... | wise(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6110585547533296663252116
% SZS output start Proof for 6110585547533296663252116
20. wise(paul) [input p19]
25. ~wise(paul) [input hypothesis]
135. wise(paul) [cnf transformation 20]
143. ~wise(paul) [cnf transformation 25]
330. $false [subsumption resolution 143,135]
% SZS output end Pro... | 0 |
Everyone who is not funny is either not wise or calm and vice versa.
If someone is either not tall or not rich then fred is either not humble or generous and vice versa.
Everyone who is not humble is happy.
Everyone who is wise or rich is happy or rich and vice versa.
If someone is both strong and not tall then someone... | Fred is not patient. | entailment | (![X]:(~funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((~tall(X)<~>~rich(X))))<=>((~humble(fred)<~>generous(fred))))&
(![X]:(~humble(X)=>happy(X)))&
(![X]:((wise(X)|rich(X))<=>(happy(X)|rich(X))))&
((?[X]:((strong(X)&~tall(X))))=>(?[X]:(curious(X))))&
((?[X]:((happy(X)&~curious(X))))=>(?[X]:(creative(X))))&
((?[X]:((kind(X... | ~patient(fred) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3128061090622958521848449
% SZS output start Proof for 3128061090622958521848449
1. ! [X0] : (~funny(X0) <=> (~wise(X0) <~> calm(X0))) [input p0]
3. ! [X0] : (~humble(X0) => happy(X0)) [input p2]
4. ! [X0] : ((rich(X0) | wise(X0)) <=> (rich(X0) | happy(X0))) [input p3]
8. ! [X0] : ((brave... | 0 |
Everyone who is either quiet or not creative is either not quiet or not curious and vice versa. Everyone who is either wise or patient is not calm or creative. If someone is both tall and not brave then someone is creative. If someone is not calm or not happy then mary is generous. Everyone who is both generous and cal... | Mary is creative. | entailment | (![X]:((quiet(X)<~>~creative(X))<=>(~quiet(X)<~>~curious(X))))&
(![X]:((wise(X)<~>patient(X))=>(~calm(X)|creative(X))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:(creative(X))))&
((?[X]:((~calm(X)|~happy(X))))=>(generous(mary)))&
(![X]:((generous(X)&calm(X))<=>tall(X)))&
((funny(paul))=>(~creative(paul)))&
(![X]:((wise(X)<... | creative(mary) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2382548386947383827759236
% SZS output start Proof for 2382548386947383827759236
2. ! [X0] : ((wise(X0) <~> patient(X0)) => (creative(X0) | ~calm(X0))) [input p1]
4. ? [X0] : (~happy(X0) | ~calm(X0)) => generous(mary) [input p3]
5. ! [X0] : ((calm(X0) & generous(X0)) <=> tall(X0)) [input ... | 0 |
Everyone who is strong is not tall or not curious.
Everyone who is not brave or kind is either generous or not patient.
If lucy is either creative or not wise then someone is humble or wise and vice versa.
If lucy is either patient or not funny then lucy is humble and vice versa.
Everyone who is not kind is either not ... | Lucy is brave. | entailment | (![X]:(strong(X)=>(~tall(X)|~curious(X))))&
(![X]:((~brave(X)|kind(X))=>(generous(X)<~>~patient(X))))&
(((creative(lucy)<~>~wise(lucy)))<=>(?[X]:((humble(X)|wise(X)))))&
(((patient(lucy)<~>~funny(lucy)))<=>(humble(lucy)))&
(![X]:(~kind(X)<=>(~funny(X)<~>happy(X))))&
(![X]:(~old(X)=>(~wise(X)&~calm(X))))&
((brave(fred))... | brave(lucy) | [
"p1",
"p2",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7292038159493382549373714
% SZS output start Proof for 7292038159493382549373714
2. ! [X0] : ((kind(X0) | ~brave(X0)) => (generous(X0) <~> ~patient(X0))) [input p1]
3. (creative(lucy) <~> ~wise(lucy)) <=> ? [X0] : (wise(X0) | humble(X0)) [input p2]
8. ! [X0] : ((old(X0) | ~strong(X0)) => ... | 0 |
Everyone who is either creative or humble is either strong or happy. Everyone who is both kind and not strong is not kind and vice versa. If paul is either old or curious then mary is not wise or old and vice versa. If mary is either brave or not kind then someone is not quiet or not wise and vice versa. Everyone who i... | Fred is not curious. | contradiction | (![X]:((creative(X)<~>humble(X))=>(strong(X)<~>happy(X))))&
(![X]:((kind(X)&~strong(X))<=>~kind(X)))&
(((old(paul)<~>curious(paul)))<=>((~wise(mary)|old(mary))))&
(((brave(mary)<~>~kind(mary)))<=>(?[X]:((~quiet(X)|~wise(X)))))&
(![X]:(~strong(X)=>~creative(X)))&
(![X]:((~tall(X)|~wise(X))=>(~generous(X)|~quiet(X))))&
(... | ~curious(fred) | [
"p1",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 42203767845555402451331
% SZS output start Proof for 42203767845555402451331
2. ! [X0] : ((~strong(X0) & kind(X0)) <=> ~kind(X0)) [input p1]
7. ? [X0] : quiet(X0) => ~strong(fred) [input p6]
9. ? [X0] : (~tall(X0) | patient(X0)) => quiet(susan) [input p8]
15. ! [X0] : (tall(X0) => curious... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is either not brave or kind ... | Alice is generous. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fre... | generous(alice) | [
"p0",
"p1",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2445321386826730055626649
% SZS output start Proof for 2445321386826730055626649
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
2. ~creative(alice) <=> ? [X0] : generous(X0) [input p1]
4. ? [X0] : (~patient(X0) <~> old(X0)) <=> ? [X0] : ~rich(X0) [input p3]
... | 0 |
Everyone who is quiet or patient is either not kind or wise and vice versa.
Everyone who is both not happy and not generous is tall and vice versa.
Everyone who is not strong is both calm and kind.
If alice is either not happy or not kind then someone is not brave or patient and vice versa.
Everyone who is either gener... | John is not quiet. | contradiction | (![X]:((quiet(X)|patient(X))<=>(~kind(X)<~>wise(X))))&
(![X]:((~happy(X)&~generous(X))<=>tall(X)))&
(![X]:(~strong(X)=>(calm(X)&kind(X))))&
(((~happy(alice)<~>~kind(alice)))<=>(?[X]:((~brave(X)|patient(X)))))&
(![X]:((generous(X)<~>~strong(X))=>(patient(X)&~creative(X))))&
(![X]:((~calm(X)&strong(X))=>(tall(X)<~>rich(X... | ~quiet(john) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p8",
"p9",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 468144519494992388876339
% SZS output start Proof for 468144519494992388876339
1. ! [X0] : ((patient(X0) | quiet(X0)) <=> (~kind(X0) <~> wise(X0))) [input p0]
2. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> tall(X0)) [input p1]
3. ! [X0] : (~strong(X0) => (kind(X0) & calm(X0))) [input p2]
5... | 0 |
Everyone who is either brave or not creative is not rich.
Everyone who is brave or not rich is not brave.
Everyone who is not old is both not kind and kind.
If someone is not wise or calm then paul is not patient.
If mary is both not strong and not calm then someone is tall or brave.
Everyone who is generous or kind is... | Paul is strong. | contradiction | (![X]:((brave(X)<~>~creative(X))=>~rich(X)))&
(![X]:((brave(X)|~rich(X))=>~brave(X)))&
(![X]:(~old(X)=>(~kind(X)&kind(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~patient(paul)))&
(((~strong(mary)&~calm(mary)))=>(?[X]:((tall(X)|brave(X)))))&
(![X]:((generous(X)|kind(X))=>~funny(X)))&
((?[X]:((~strong(X)&~happy(X))))<=>((~wis... | strong(paul) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 15731089462896370252259
% SZS output start Proof for 15731089462896370252259
6. ! [X0] : ((kind(X0) | generous(X0)) => ~funny(X0)) [input p5]
9. ? [X0] : (wise(X0) | strong(X0)) <=> (generous(mary) & funny(mary)) [input p8]
24. strong(paul) [input hypothesis]
31. ! [X0] : (~funny(X0) | (~... | 0 |
If someone is either not wise or calm then someone is patient or curious. Everyone who is not calm or not tall is either rich or not patient and vice versa. If someone is not kind then someone is both creative and not creative and vice versa. Everyone who is wise or rich is not strong or not creative. If mary is either... | Fred is funny. | neutral | ((?[X]:((~wise(X)<~>calm(X))))=>(?[X]:((patient(X)|curious(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(rich(X)<~>~patient(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((wise(X)|rich(X))=>(~strong(X)|~creative(X))))&
(((kind(mary)<~>~calm(mary)))=>(creative(lucy)))&
((?[X]:((~funny(X)|~wise(X))))=>(... | funny(fred) | [] | null | 0 |
If lucy is wise then mary is either not old or quiet and vice versa.
If someone is either calm or happy then john is both not curious and creative.
If someone is either not happy or curious then someone is not funny.
If someone is not wise or old then someone is old.
Everyone who is both patient and wise is not generou... | Mary is creative. | neutral | ((wise(lucy))<=>((~old(mary)<~>quiet(mary))))&
((?[X]:((calm(X)<~>happy(X))))=>((~curious(john)&creative(john))))&
((?[X]:((~happy(X)<~>curious(X))))=>(?[X]:(~funny(X))))&
((?[X]:((~wise(X)|old(X))))=>(?[X]:(old(X))))&
(![X]:((patient(X)&wise(X))<=>~generous(X)))&
((?[X]:((~rich(X)<~>~happy(X))))<=>(wise(susan)))&
((qu... | creative(mary) | [] | null | 0 |
Everyone who is either happy or not kind is either not tall or patient and vice versa.
If mary is either not patient or tall then lucy is either not generous or not creative.
If someone is either not generous or wise then someone is strong.
Everyone who is curious is not kind.
Everyone who is curious or not curious is ... | Susan is wise. | neutral | (![X]:((happy(X)<~>~kind(X))<=>(~tall(X)<~>patient(X))))&
(((~patient(mary)<~>tall(mary)))=>((~generous(lucy)<~>~creative(lucy))))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:(strong(X))))&
(![X]:(curious(X)=>~kind(X)))&
(![X]:((curious(X)|~curious(X))=>(~quiet(X)&kind(X))))&
(![X]:((strong(X)|~happy(X))=>(wise(X)&funny... | wise(susan) | [] | null | 0 |
Everyone who is either not rich or not creative is both not patient and calm and vice versa. Everyone who is not strong or not happy is brave and vice versa. Everyone who is curious or tall is creative and vice versa. Everyone who is either creative or funny is both not calm and patient and vice versa. Everyone who is ... | Paul is tall. | contradiction | (![X]:((~rich(X)<~>~creative(X))<=>(~patient(X)&calm(X))))&
(![X]:((~strong(X)|~happy(X))<=>brave(X)))&
(![X]:((curious(X)|tall(X))<=>creative(X)))&
(![X]:((creative(X)<~>funny(X))<=>(~calm(X)&patient(X))))&
(![X]:((~brave(X)|kind(X))=>~generous(X)))&
(![X]:(~creative(X)<=>(~brave(X)|~kind(X))))&
(![X]:((~quiet(X)<~>ca... | tall(paul) | [
"p2",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 123676264736263369400989
% SZS output start Proof for 123676264736263369400989
3. ! [X0] : ((tall(X0) | curious(X0)) <=> creative(X0)) [input p2]
6. ! [X0] : (~creative(X0) <=> (~kind(X0) | ~brave(X0))) [input p5]
8. ! [X0] : ((brave(X0) & tall(X0)) <=> (~old(X0) & ~creative(X0))) [input ... | 0 |
Everyone who is either not generous or strong is not wise or patient and vice versa.
Everyone who is tall or not calm is either not rich or generous and vice versa.
If alice is either creative or rich then someone is funny.
Everyone who is both kind and not strong is tall.
If lucy is brave then susan is humble or not c... | Lucy is not old. | entailment | (![X]:((~generous(X)<~>strong(X))<=>(~wise(X)|patient(X))))&
(![X]:((tall(X)|~calm(X))<=>(~rich(X)<~>generous(X))))&
(((creative(alice)<~>rich(alice)))=>(?[X]:(funny(X))))&
(![X]:((kind(X)&~strong(X))=>tall(X)))&
((brave(lucy))=>((humble(susan)|~curious(susan))))&
((?[X]:((old(X)&strong(X))))<=>((~funny(fred)|kind(fred... | ~old(lucy) | [
"p0",
"p7",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2657590779566721942463911
% SZS output start Proof for 2657590779566721942463911
1. ! [X0] : ((~generous(X0) <~> strong(X0)) <=> (patient(X0) | ~wise(X0))) [input p0]
8. ! [X0] : ((humble(X0) & ~generous(X0)) <=> (~generous(X0) <~> ~old(X0))) [input p7]
9. ! [X0] : ((~happy(X0) | ~humble(... | 0 |
If someone is not calm then someone is either not calm or tall. If someone is old or not patient then someone is both not old and humble. Everyone who is not patient or not generous is either not calm or not wise. If susan is generous or not strong then someone is not funny. If someone is either not patient or not curi... | Susan is not generous. | neutral | ((?[X]:(~calm(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~patient(X)|~generous(X))=>(~calm(X)<~>~wise(X))))&
(((generous(susan)|~strong(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(?[X]:((wise(X)&~calm(X)))))&
(((~kind(mary)&~o... | ~generous(susan) | [] | null | 0 |
Everyone who is both not wise and not kind is both not brave and curious and vice versa.
If lucy is not kind or quiet then someone is both not funny and not happy.
If someone is either not humble or not brave then someone is not brave.
If someone is not old or calm then paul is not creative or not tall.
If susan is not... | Lucy is not humble. | neutral | (![X]:((~wise(X)&~kind(X))<=>(~brave(X)&curious(X))))&
(((~kind(lucy)|quiet(lucy)))=>(?[X]:((~funny(X)&~happy(X)))))&
((?[X]:((~humble(X)<~>~brave(X))))=>(?[X]:(~brave(X))))&
((?[X]:((~old(X)|calm(X))))=>((~creative(paul)|~tall(paul))))&
((~wise(susan))<=>((~happy(alice)|wise(alice))))&
(![X]:((~patient(X)&~funny(X))<=... | ~humble(lucy) | [] | null | 0 |
Everyone who is either not strong or not happy is humble and vice versa.
If someone is not rich or not kind then someone is both brave and rich.
If someone is both not creative and strong then fred is either generous or not old.
Everyone who is both not wise and not quiet is either not quiet or creative.
If someone is ... | John is rich. | contradiction | (![X]:((~strong(X)<~>~happy(X))<=>humble(X)))&
((?[X]:((~rich(X)|~kind(X))))=>(?[X]:((brave(X)&rich(X)))))&
((?[X]:((~creative(X)&strong(X))))=>((generous(fred)<~>~old(fred))))&
(![X]:((~wise(X)&~quiet(X))=>(~quiet(X)<~>creative(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~tall(X)<~>~strong(X)))))&
((?[X]:((~happy(X)&~rich(X)))... | rich(john) | [
"p0",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3482399847118919178995373
% SZS output start Proof for 3482399847118919178995373
1. ! [X0] : ((~strong(X0) <~> ~happy(X0)) <=> humble(X0)) [input p0]
13. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (strong(X0) <~> generous(X0))) [input p12]
17. ~humble(john) & ~generous(john) [input p16]
25. r... | 0 |
Everyone who is brave or happy is happy and vice versa. Everyone who is either not wise or brave is both not funny and quiet. If alice is either not tall or tall then someone is rich or brave and vice versa. If someone is both not kind and wise then lucy is old or calm and vice versa. If someone is rich then paul is fu... | Susan is generous. | contradiction | (![X]:((brave(X)|happy(X))<=>happy(X)))&
(![X]:((~wise(X)<~>brave(X))=>(~funny(X)&quiet(X))))&
(((~tall(alice)<~>tall(alice)))<=>(?[X]:((rich(X)|brave(X)))))&
((?[X]:((~kind(X)&wise(X))))<=>((old(lucy)|calm(lucy))))&
((?[X]:(rich(X)))=>((funny(paul)|strong(paul))))&
(![X]:((calm(X)&strong(X))=>strong(X)))&
(((~tall(luc... | generous(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 172590161543200992866801
% SZS output start Proof for 172590161543200992866801
16. ! [X0] : ((curious(X0) <~> ~curious(X0)) => (~generous(X0) & ~curious(X0))) [input p15]
23. generous(susan) [input hypothesis]
36. ! [X0] : ((~generous(X0) & ~curious(X0)) | (curious(X0) <=> ~curious(X0))) ... | 0 |
If someone is quiet or kind then someone is either not strong or not quiet. Everyone who is strong or not strong is not old and vice versa. Everyone who is not strong or strong is curious or tall. Everyone who is either not wise or curious is either generous or not funny and vice versa. Everyone who is happy is both no... | Fred is not old. | entailment | ((?[X]:((quiet(X)|kind(X))))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((strong(X)|~strong(X))<=>~old(X)))&
(![X]:((~strong(X)|strong(X))=>(curious(X)|tall(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(generous(X)<~>~funny(X))))&
(![X]:(happy(X)<=>(~creative(X)&~happy(X))))&
(![X]:(patient(X)=>(kind(X)|~creative(X))))&
(((... | ~old(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5398471462411779653795649
% SZS output start Proof for 5398471462411779653795649
2. ! [X0] : ((~strong(X0) | strong(X0)) <=> ~old(X0)) [input p1]
22. old(fred) [input hypothesis]
39. ! [X0] : (((~strong(X0) | strong(X0)) | old(X0)) & (~old(X0) | (strong(X0) & ~strong(X0)))) [nnf transform... | 0 |
If someone is both not calm and old then someone is either rich or not tall. Everyone who is not old is not wise and vice versa. Everyone who is both not patient and not wise is funny and vice versa. Everyone who is not curious or funny is both not calm and wise. Everyone who is old or not strong is tall. Everyone who ... | Alice is generous. | neutral | ((?[X]:((~calm(X)&old(X))))=>(?[X]:((rich(X)<~>~tall(X)))))&
(![X]:(~old(X)<=>~wise(X)))&
(![X]:((~patient(X)&~wise(X))<=>funny(X)))&
(![X]:((~curious(X)|funny(X))=>(~calm(X)&wise(X))))&
(![X]:((old(X)|~strong(X))=>tall(X)))&
(![X]:((~old(X)<~>~quiet(X))=>~curious(X)))&
(((wise(alice)|quiet(alice)))=>(?[X]:((tall(X)<~>... | generous(alice) | [] | null | 0 |
If paul is both not quiet and not tall then someone is both humble and curious and vice versa.
If mary is happy or not happy then lucy is either not tall or not curious and vice versa.
Everyone who is either not calm or not old is not calm and vice versa.
If alice is not curious then john is both not kind and not rich ... | Alice is not happy. | contradiction | (((~quiet(paul)&~tall(paul)))<=>(?[X]:((humble(X)&curious(X)))))&
(((happy(mary)|~happy(mary)))<=>((~tall(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>~calm(X)))&
((~curious(alice))<=>((~kind(john)&~rich(john))))&
(![X]:((~humble(X)<~>~old(X))<=>(happy(X)|~patient(X))))&
(![X]:((happy(X)|~generous(X))=>(~ca... | ~happy(alice) | [
"p2",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7600715965502750215845697
% SZS output start Proof for 7600715965502750215845697
3. ! [X0] : ((~calm(X0) <~> ~old(X0)) <=> ~calm(X0)) [input p2]
8. ! [X0] : ((old(X0) | ~funny(X0)) <=> (~kind(X0) & ~curious(X0))) [input p7]
13. ! [X0] : ((kind(X0) | funny(X0)) <=> (patient(X0) <~> happy(X... | 0 |
If someone is not wise then mary is rich or generous.
Everyone who is quiet or not strong is not calm and vice versa.
Everyone who is wise is not kind or not rich.
If mary is both not quiet and patient then someone is both kind and wise and vice versa.
Everyone who is both strong and patient is brave or tall.
If mary i... | Mary is not happy. | contradiction | ((?[X]:(~wise(X)))=>((rich(mary)|generous(mary))))&
(![X]:((quiet(X)|~strong(X))<=>~calm(X)))&
(![X]:(wise(X)=>(~kind(X)|~rich(X))))&
(((~quiet(mary)&patient(mary)))<=>(?[X]:((kind(X)&wise(X)))))&
(![X]:((strong(X)&patient(X))=>(brave(X)|tall(X))))&
(((~creative(mary)|quiet(mary)))=>(?[X]:(kind(X))))&
(((~rich(mary)&ta... | ~happy(mary) | [
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8893212613145109029993594
% SZS output start Proof for 8893212613145109029993594
7. (tall(mary) & ~rich(mary)) <=> (old(alice) | kind(alice)) [input p6]
16. ! [X0] : ((curious(X0) | ~happy(X0)) <=> (rich(X0) & brave(X0))) [input p15]
17. kind(alice) & rich(alice) [input p16]
24. ~happy(ma... | 0 |
If someone is both calm and generous then someone is not generous or creative and vice versa.
Everyone who is not brave or creative is calm or not generous.
If someone is wise or not tall then paul is generous.
Everyone who is patient is not funny and vice versa.
Everyone who is either not rich or rich is not quiet or ... | Fred is patient. | neutral | ((?[X]:((calm(X)&generous(X))))<=>(?[X]:((~generous(X)|creative(X)))))&
(![X]:((~brave(X)|creative(X))=>(calm(X)|~generous(X))))&
((?[X]:((wise(X)|~tall(X))))=>(generous(paul)))&
(![X]:(patient(X)<=>~funny(X)))&
(![X]:((~rich(X)<~>rich(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(su... | patient(fred) | [] | null | 0 |
If fred is creative then fred is either not kind or funny. Everyone who is brave or happy is either not brave or old and vice versa. Everyone who is not brave or curious is either not old or patient. If john is not generous or not calm then paul is both not curious and strong and vice versa. Everyone who is not curious... | Fred is not kind. | neutral | ((creative(fred))=>((~kind(fred)<~>funny(fred))))&
(![X]:((brave(X)|happy(X))<=>(~brave(X)<~>old(X))))&
(![X]:((~brave(X)|curious(X))=>(~old(X)<~>patient(X))))&
(((~generous(john)|~calm(john)))<=>((~curious(paul)&strong(paul))))&
(![X]:(~curious(X)=>(happy(X)<~>~quiet(X))))&
(![X]:((brave(X)&strong(X))=>(brave(X)&calm(... | ~kind(fred) | [] | null | 0 |
Everyone who is brave or funny is both not happy and not tall.
If lucy is either not generous or old then mary is not curious and vice versa.
If someone is both happy and not humble then fred is not tall or generous.
Everyone who is kind or humble is both tall and generous.
Everyone who is either funny or kind is not r... | John is rich. | entailment | (![X]:((brave(X)|funny(X))=>(~happy(X)&~tall(X))))&
(((~generous(lucy)<~>old(lucy)))<=>(~curious(mary)))&
((?[X]:((happy(X)&~humble(X))))=>((~tall(fred)|generous(fred))))&
(![X]:((kind(X)|humble(X))=>(tall(X)&generous(X))))&
(![X]:((funny(X)<~>kind(X))<=>(~rich(X)|~quiet(X))))&
(((~curious(alice)|~rich(alice)))<=>(?[X]... | rich(john) | [
"p0",
"p4",
"p7",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2460935521044631091129170
% SZS output start Proof for 2460935521044631091129170
1. ! [X0] : ((funny(X0) | brave(X0)) => (~tall(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p4]
8. ! [X0] : ((kind(X0) | happy(X0)) <=> (funny(X0) &... | 0 |
Everyone who is both curious and rich is either not creative or old and vice versa.
If fred is funny or strong then someone is either not wise or not tall and vice versa.
If lucy is both not patient and tall then mary is brave or generous and vice versa.
Everyone who is both not humble and not rich is both curious and ... | Alice is not old. | neutral | (![X]:((curious(X)&rich(X))<=>(~creative(X)<~>old(X))))&
(((funny(fred)|strong(fred)))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
(((~patient(lucy)&tall(lucy)))<=>((brave(mary)|generous(mary))))&
(![X]:((~humble(X)&~rich(X))<=>(curious(X)&~happy(X))))&
(((old(john)<~>~strong(john)))=>((~wise(susan)&tall(susan))))&
((?[X]:((str... | ~old(alice) | [] | null | 0 |
If someone is both generous and creative then john is both old and not curious. Everyone who is both quiet and happy is either not quiet or not funny. If mary is either not tall or kind then lucy is not quiet and vice versa. Everyone who is not creative is both not brave and not strong and vice versa. If susan is not h... | Fred is happy. | neutral | ((?[X]:((generous(X)&creative(X))))=>((old(john)&~curious(john))))&
(![X]:((quiet(X)&happy(X))=>(~quiet(X)<~>~funny(X))))&
(((~tall(mary)<~>kind(mary)))<=>(~quiet(lucy)))&
(![X]:(~creative(X)<=>(~brave(X)&~strong(X))))&
((~humble(susan))<=>(~creative(alice)))&
(![X]:((funny(X)&~humble(X))=>(old(X)|~humble(X))))&
(![X]:... | happy(fred) | [] | null | 0 |
If someone is both funny and not humble then someone is either not wise or kind.
Everyone who is humble or curious is either happy or not happy.
If someone is either not kind or not curious then paul is both not patient and not tall and vice versa.
If john is not quiet then alice is either old or not kind.
If susan is ... | Alice is brave. | neutral | ((?[X]:((funny(X)&~humble(X))))=>(?[X]:((~wise(X)<~>kind(X)))))&
(![X]:((humble(X)|curious(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((~patient(paul)&~tall(paul))))&
((~quiet(john))=>((old(alice)<~>~kind(alice))))&
(((wise(susan)&~patient(susan)))=>(old(alice)))&
((?[X]:((strong(X)&~strong(X))... | brave(alice) | [] | null | 0 |
If alice is both not old and patient then someone is either not generous or happy.
Everyone who is not happy or not humble is happy and vice versa.
Everyone who is creative or not quiet is both not brave and brave and vice versa.
If someone is both patient and humble then someone is both quiet and not calm.
If someone ... | Alice is not old. | contradiction | (((~old(alice)&patient(alice)))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((~happy(X)|~humble(X))<=>happy(X)))&
(![X]:((creative(X)|~quiet(X))<=>(~brave(X)&brave(X))))&
((?[X]:((patient(X)&humble(X))))=>(?[X]:((quiet(X)&~calm(X)))))&
((?[X]:((old(X)&patient(X))))=>((creative(susan)&old(susan))))&
(![X]:(~old(X)<=>(cr... | ~old(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3306388175217699181792553
% SZS output start Proof for 3306388175217699181792553
3. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (brave(X0) & ~brave(X0))) [input p2]
6. ! [X0] : (~old(X0) <=> (~curious(X0) & creative(X0))) [input p5]
22. ~old(alice) [input hypothesis]
41. ! [X0] : (((~quiet(... | 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 fred is creative then susan is calm or rich.
Everyone who is either not brave or not funny is brave and vice versa.
Everyone who is brave is not wise and vice versa.
If mary is not wise or not generous then someone is tall or not kind and vice versa.
Everyone who is both not curious and not rich is both old and not ... | Lucy is rich. | contradiction | ((creative(fred))=>((calm(susan)|rich(susan))))&
(![X]:((~brave(X)<~>~funny(X))<=>brave(X)))&
(![X]:(brave(X)<=>~wise(X)))&
(((~wise(mary)|~generous(mary)))<=>(?[X]:((tall(X)|~kind(X)))))&
(![X]:((~curious(X)&~rich(X))<=>(old(X)&~strong(X))))&
((?[X]:((~tall(X)&~happy(X))))<=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:(curio... | rich(lucy) | [
"p1",
"p2",
"p6",
"p10",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1362264250236035961132491
% SZS output start Proof for 1362264250236035961132491
2. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> brave(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> ~wise(X0)) [input p2]
7. ! [X0] : (curious(X0) <=> (strong(X0) | ~funny(X0))) [input p6]
11. ! [X0] : ((~generous(... | 0 |
Everyone who is quiet or not funny is both wise and not brave. If someone is not kind or curious then someone is either quiet or not funny and vice versa. Everyone who is both rich and calm is both old and humble and vice versa. Everyone who is either wise or not rich is both not wise and kind. Everyone who is either n... | Lucy is calm. | neutral | (![X]:((quiet(X)|~funny(X))=>(wise(X)&~brave(X))))&
((?[X]:((~kind(X)|curious(X))))<=>(?[X]:((quiet(X)<~>~funny(X)))))&
(![X]:((rich(X)&calm(X))<=>(old(X)&humble(X))))&
(![X]:((wise(X)<~>~rich(X))=>(~wise(X)&kind(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(brave(X)&~old(X))))&
(![X]:(happy(X)<=>~tall(X)))&
((~kind(lucy)... | calm(lucy) | [] | null | 0 |
If john is happy or not kind then someone is not brave.
If someone is not wise or not kind then alice is either not tall or not generous and vice versa.
Everyone who is quiet or brave is strong or wise and vice versa.
If someone is either generous or not funny then someone is either not generous or not happy.
Everyone ... | Alice is strong. | entailment | (((happy(john)|~kind(john)))=>(?[X]:(~brave(X))))&
((?[X]:((~wise(X)|~kind(X))))<=>((~tall(alice)<~>~generous(alice))))&
(![X]:((quiet(X)|brave(X))<=>(strong(X)|wise(X))))&
((?[X]:((generous(X)<~>~funny(X))))=>(?[X]:((~generous(X)<~>~happy(X)))))&
(![X]:(~calm(X)<=>(~generous(X)|rich(X))))&
(![X]:(~rich(X)=>(strong(X)&... | strong(alice) | [
"p5",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 183580731007211202624034
% SZS output start Proof for 183580731007211202624034
6. ! [X0] : (~rich(X0) => (~brave(X0) & strong(X0))) [input p5]
8. ! [X0] : ((~generous(X0) | rich(X0)) <=> (~curious(X0) & patient(X0))) [input p7]
17. curious(alice) [input p16]
23. ~strong(alice) [input hypo... | 0 |
Everyone who is both not curious and patient is happy.
If susan is old or generous then alice is either humble or old and vice versa.
If someone is both happy and humble then someone is happy or not funny and vice versa.
Everyone who is not humble is both not rich and humble.
If someone is either not funny or not calm ... | Alice is generous. | entailment | (![X]:((~curious(X)&patient(X))=>happy(X)))&
(((old(susan)|generous(susan)))<=>((humble(alice)<~>old(alice))))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:(~humble(X)=>(~rich(X)&humble(X))))&
((?[X]:((~funny(X)<~>~calm(X))))<=>(?[X]:((~wise(X)<~>happy(X)))))&
(((tall(fred)|~strong(fred)))<=>... | generous(alice) | [
"p6",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 414597830463873866574660
% SZS output start Proof for 414597830463873866574660
7. ! [X0] : ((kind(X0) <~> ~calm(X0)) <=> (calm(X0) & wise(X0))) [input p6]
9. ! [X0] : (kind(X0) => (~wise(X0) <~> generous(X0))) [input p8]
22. wise(alice) [input p21]
25. ~generous(alice) [input hypothesis]
... | 0 |
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