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 kind is either strong or not creative. Everyone who is not tall or not brave is brave. If someone is not funny or not strong then paul is either not calm or old. Everyone who is not happy or funny is strong and vice versa. Everyone who is both not rich and brave is not tall and vice versa. Everyone who ... | Lucy is not calm. | entailment | (![X]:(kind(X)=>(strong(X)<~>~creative(X))))&
(![X]:((~tall(X)|~brave(X))=>brave(X)))&
((?[X]:((~funny(X)|~strong(X))))=>((~calm(paul)<~>old(paul))))&
(![X]:((~happy(X)|funny(X))<=>strong(X)))&
(![X]:((~rich(X)&brave(X))<=>~tall(X)))&
(![X]:((~curious(X)<~>~calm(X))<=>(kind(X)|calm(X))))&
(((~strong(fred)&creative(fred... | ~calm(lucy) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 683102822013890582130165
% SZS output start Proof for 683102822013890582130165
2. ! [X0] : ((~brave(X0) | ~tall(X0)) => brave(X0)) [input p1]
9. ! [X0] : ((~rich(X0) | calm(X0)) => (~brave(X0) & ~quiet(X0))) [input p8]
22. calm(lucy) [input hypothesis]
24. ! [X0] : (brave(X0) | (brave(X0)... | 0 |
Everyone who is either wise or not happy is both not patient and kind.
Everyone who is not quiet is both not creative and calm and vice versa.
If someone is either not patient or not old then someone is either patient or calm and vice versa.
Everyone who is happy or not wise is both brave and not brave and vice versa.
... | Mary is not strong. | neutral | (![X]:((wise(X)<~>~happy(X))=>(~patient(X)&kind(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&calm(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((patient(X)<~>calm(X)))))&
(![X]:((happy(X)|~wise(X))<=>(brave(X)&~brave(X))))&
(![X]:((funny(X)<~>~kind(X))<=>kind(X)))&
(![X]:((~generous(X)|quiet(X))=>(strong(X)&~tall(X))))&... | ~strong(mary) | [] | null | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is both not old and humble.
If someone is patient or wise then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and ... | Alice is old. | entailment | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>(~old(X)&humble(X))))&
((?[X]:((patient(X)|wise(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~... | old(alice) | [
"p0",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6132209844576612238855662
% SZS output start Proof for 6132209844576612238855662
1. ! [X0] : ((~happy(X0) | strong(X0)) <=> patient(X0)) [input p0]
6. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p5]
7. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> (~quiet(X0) | ~old(X0))) [input p6]
1... | 0 |
If john is not brave or rich then someone is not curious or not old and vice versa. Everyone who is not creative is both not brave and tall. If someone is both not curious and strong then someone is calm or not rich and vice versa. Everyone who is wise is either not quiet or brave and vice versa. Everyone who is both q... | John is not patient. | entailment | (((~brave(john)|rich(john)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(~creative(X)=>(~brave(X)&tall(X))))&
((?[X]:((~curious(X)&strong(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(wise(X)<=>(~quiet(X)<~>brave(X))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X... | ~patient(john) | [
"p3",
"p19",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2625677633953588106888151
% SZS output start Proof for 2625677633953588106888151
4. ! [X0] : (wise(X0) <=> (~quiet(X0) <~> brave(X0))) [input p3]
20. wise(john) <~> ~brave(john) [input p19]
21. ~patient(john) <~> ~quiet(john) [input p20]
23. ~brave(john) [input p22]
25. patient(john) [inp... | 0 |
Everyone who is both not happy and wise is both not generous and creative and vice versa.
If someone is not calm then mary is not calm or not wise.
If someone is either happy or not tall then someone is not rich and vice versa.
Everyone who is not creative or brave is both funny and not rich.
If lucy is both not humble... | Paul is creative. | entailment | (![X]:((~happy(X)&wise(X))<=>(~generous(X)&creative(X))))&
((?[X]:(~calm(X)))=>((~calm(mary)|~wise(mary))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)|brave(X))=>(funny(X)&~rich(X))))&
(((~humble(lucy)&wise(lucy)))=>(wise(fred)))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:(~tall(X)<=>funn... | creative(paul) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4285874895997615226179431
% SZS output start Proof for 4285874895997615226179431
4. ! [X0] : ((brave(X0) | ~creative(X0)) => (~rich(X0) & funny(X0))) [input p3]
11. (~rich(paul) | ~generous(paul)) => (~wise(mary) & ~humble(mary)) [input p10]
16. ! [X0] : ((wise(X0) | happy(X0)) <=> (happy... | 0 |
If paul is not curious or quiet then mary is either calm or quiet.
Everyone who is not generous is both curious and creative and vice versa.
If fred is not creative or funny then mary is strong or not brave and vice versa.
Everyone who is not wise is happy.
Everyone who is either strong or not calm is either brave or n... | Mary is strong. | neutral | (((~curious(paul)|quiet(paul)))=>((calm(mary)<~>quiet(mary))))&
(![X]:(~generous(X)<=>(curious(X)&creative(X))))&
(((~creative(fred)|funny(fred)))<=>((strong(mary)|~brave(mary))))&
(![X]:(~wise(X)=>happy(X)))&
(![X]:((strong(X)<~>~calm(X))<=>(brave(X)<~>~wise(X))))&
((?[X]:((funny(X)<~>patient(X))))<=>((~strong(alice)|... | strong(mary) | [] | null | 0 |
If someone is both not creative and generous then lucy is not brave or curious and vice versa. Everyone who is both curious and generous is either quiet or not happy. Everyone who is not happy or kind is both not quiet and old. Everyone who is generous is either curious or strong. Everyone who is both not humble and no... | Lucy is not funny. | entailment | ((?[X]:((~creative(X)&generous(X))))<=>((~brave(lucy)|curious(lucy))))&
(![X]:((curious(X)&generous(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((~happy(X)|kind(X))=>(~quiet(X)&old(X))))&
(![X]:(generous(X)=>(curious(X)<~>strong(X))))&
(![X]:((~humble(X)&~curious(X))=>brave(X)))&
(![X]:(funny(X)<=>(~brave(X)&patient(X))))&
(!... | ~funny(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4572087425956880895695634
% SZS output start Proof for 4572087425956880895695634
1. ? [X0] : (generous(X0) & ~creative(X0)) <=> (curious(lucy) | ~brave(lucy)) [input p0]
3. ! [X0] : ((kind(X0) | ~happy(X0)) => (old(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (generous(X0) => (curious(X0) <~... | 0 |
Everyone who is generous is curious.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then someone is not quiet and vice versa.
Everyone who is happy is both creative and not strong and vice versa.
Everyone who is quiet is creative or not generous.
If paul is not kind the... | Lucy is curious. | entailment | (![X]:(generous(X)=>curious(X)))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(quiet(X)=>(creative(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~ol... | curious(lucy) | [
"p0",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1543966534788677262954902
% SZS output start Proof for 1543966534788677262954902
1. ! [X0] : (generous(X0) => curious(X0)) [input p0]
7. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p6]
13. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(X0) | ~tall(X... | 0 |
Everyone who is strong is patient and vice versa.
Everyone who is both not kind and not creative is creative or not humble and vice versa.
Everyone who is both not humble and funny is not rich or old and vice versa.
If someone is not happy then susan is either strong or old.
Everyone who is either not brave or tall is ... | Fred is funny. | entailment | (![X]:(strong(X)<=>patient(X)))&
(![X]:((~kind(X)&~creative(X))<=>(creative(X)|~humble(X))))&
(![X]:((~humble(X)&funny(X))<=>(~rich(X)|old(X))))&
((?[X]:(~happy(X)))=>((strong(susan)<~>old(susan))))&
(![X]:((~brave(X)<~>tall(X))<=>~old(X)))&
(((~calm(john)|~generous(john)))=>(?[X]:((strong(X)<~>brave(X)))))&
(((~brave(... | funny(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7258962171081249571690709
% SZS output start Proof for 7258962171081249571690709
19. funny(fred) [input p18]
24. ~funny(fred) [input hypothesis]
129. funny(fred) [cnf transformation 19]
134. ~funny(fred) [cnf transformation 24]
259. $false [subsumption resolution 134,129]
% SZS output end... | 0 |
Everyone who is both calm and not creative is creative or quiet and vice versa.
If alice is either brave or not creative then mary is either not generous or not brave and vice versa.
If paul is not curious or not old then someone is either not patient or brave and vice versa.
Everyone who is both not humble and not gen... | Paul is not humble. | contradiction | (![X]:((calm(X)&~creative(X))<=>(creative(X)|quiet(X))))&
(((brave(alice)<~>~creative(alice)))<=>((~generous(mary)<~>~brave(mary))))&
(((~curious(paul)|~old(paul)))<=>(?[X]:((~patient(X)<~>brave(X)))))&
(![X]:((~humble(X)&~generous(X))=>(~curious(X)|~patient(X))))&
(![X]:((quiet(X)|~happy(X))=>(happy(X)|quiet(X))))&
(!... | ~humble(paul) | [
"p0",
"p6",
"p13",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2504171431089813002826974
% SZS output start Proof for 2504171431089813002826974
1. ! [X0] : ((~creative(X0) & calm(X0)) <=> (quiet(X0) | creative(X0))) [input p0]
7. (~old(paul) & humble(paul)) <=> ? [X0] : (generous(X0) <~> humble(X0)) [input p6]
14. ! [X0] : ((~humble(X0) <~> kind(X0))... | 0 |
If susan is both generous and old then someone is kind and vice versa.
Everyone who is not old is funny.
If someone is not kind then someone is wise.
Everyone who is both wise and not curious is either not strong or old and vice versa.
If someone is either not happy or not generous then fred is either not patient or ca... | Fred is not wise. | entailment | (((generous(susan)&old(susan)))<=>(?[X]:(kind(X))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:(~kind(X)))=>(?[X]:(wise(X))))&
(![X]:((wise(X)&~curious(X))<=>(~strong(X)<~>old(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((~patient(fred)<~>calm(fred))))&
((?[X]:((~rich(X)|quiet(X))))<=>(?[X]:((tall(X)<~>~strong(X)))))&
((?[X... | ~wise(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1323918658204045723502809
% SZS output start Proof for 1323918658204045723502809
12. ! [X0] : ((brave(X0) | wise(X0)) <=> (~humble(X0) & ~wise(X0))) [input p11]
22. wise(fred) [input hypothesis]
59. ! [X0] : (((brave(X0) | wise(X0)) | (humble(X0) | wise(X0))) & ((~humble(X0) & ~wise(X0)) ... | 0 |
Everyone who is strong is both calm and not old and vice versa. Everyone who is rich is not strong or brave. Everyone who is generous or not happy is both not kind and tall and vice versa. If someone is not curious then someone is both not happy and not strong and vice versa. Everyone who is not strong is either not qu... | Mary is generous. | contradiction | (![X]:(strong(X)<=>(calm(X)&~old(X))))&
(![X]:(rich(X)=>(~strong(X)|brave(X))))&
(![X]:((generous(X)|~happy(X))<=>(~kind(X)&tall(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~happy(X)&~strong(X)))))&
(![X]:(~strong(X)<=>(~quiet(X)<~>~happy(X))))&
(![X]:((patient(X)|~strong(X))<=>patient(X)))&
(((~wise(paul)|curious(paul)))=>... | generous(mary) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8863053188758545988898470
% SZS output start Proof for 8863053188758545988898470
3. ! [X0] : ((~happy(X0) | generous(X0)) <=> (tall(X0) & ~kind(X0))) [input p2]
20. kind(mary) & happy(mary) [input p19]
25. generous(mary) [input hypothesis]
41. ! [X0] : (((~happy(X0) | generous(X0)) | (~ta... | 0 |
If someone is brave then someone is not strong or not patient.
If alice is humble or not humble then someone is not creative and vice versa.
Everyone who is not calm is not patient or not happy.
If someone is both not kind and not brave then someone is not rich or not wise.
If mary is strong or rich then john is not qu... | Paul is creative. | entailment | ((?[X]:(brave(X)))=>(?[X]:((~strong(X)|~patient(X)))))&
(((humble(alice)|~humble(alice)))<=>(?[X]:(~creative(X))))&
(![X]:(~calm(X)=>(~patient(X)|~happy(X))))&
((?[X]:((~kind(X)&~brave(X))))=>(?[X]:((~rich(X)|~wise(X)))))&
(((strong(mary)|rich(mary)))<=>(~quiet(john)))&
(((patient(mary)|wise(mary)))<=>((~tall(mary)&~hu... | creative(paul) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9202422340477487055108192
% SZS output start Proof for 9202422340477487055108192
13. ! [X0] : ((patient(X0) | ~kind(X0)) <=> (~old(X0) & creative(X0))) [input p12]
22. ~kind(paul) & happy(paul) [input p21]
25. ~creative(paul) [input hypothesis]
68. ! [X0] : (((patient(X0) | ~kind(X0)) | (... | 0 |
If someone is quiet then someone is both strong and not wise and vice versa. If fred is either quiet or not funny then someone is either humble or not humble. Everyone who is both creative and strong is both quiet and calm. If fred is not generous then someone is both strong and calm. If mary is not old then lucy is ei... | Alice is not creative. | entailment | ((?[X]:(quiet(X)))<=>(?[X]:((strong(X)&~wise(X)))))&
(((quiet(fred)<~>~funny(fred)))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((creative(X)&strong(X))=>(quiet(X)&calm(X))))&
((~generous(fred))=>(?[X]:((strong(X)&calm(X)))))&
((~old(mary))=>((~humble(lucy)<~>calm(lucy))))&
(![X]:((~tall(X)<~>humble(X))=>wise(X)))&
(![... | ~creative(alice) | [
"p2",
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5010570957312935322957128
% SZS output start Proof for 5010570957312935322957128
3. ! [X0] : ((strong(X0) & creative(X0)) => (calm(X0) & quiet(X0))) [input p2]
7. ! [X0] : ((strong(X0) | funny(X0)) <=> ~quiet(X0)) [input p6]
24. strong(alice) & patient(alice) [input p23]
25. creative(alic... | 0 |
If someone is both brave and not rich then mary is both kind and not quiet.
If lucy is either humble or not funny then mary is both wise and not old and vice versa.
Everyone who is either curious or not kind is both not old and patient and vice versa.
Everyone who is wise or not curious is calm or not tall and vice ver... | Alice is not calm. | neutral | ((?[X]:((brave(X)&~rich(X))))=>((kind(mary)&~quiet(mary))))&
(((humble(lucy)<~>~funny(lucy)))<=>((wise(mary)&~old(mary))))&
(![X]:((curious(X)<~>~kind(X))<=>(~old(X)&patient(X))))&
(![X]:((wise(X)|~curious(X))<=>(calm(X)|~tall(X))))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((humble(X)|funny(X)))))&
(![X]:(~brave(X)=>old... | ~calm(alice) | [] | null | 0 |
If alice is both not kind and not tall then someone is kind or not calm and vice versa.
If someone is not calm then someone is strong or kind and vice versa.
If someone is either patient or not old then mary is not kind.
If someone is not funny or not wise then someone is both old and not old.
If someone is not quiet t... | Susan is not creative. | contradiction | (((~kind(alice)&~tall(alice)))<=>(?[X]:((kind(X)|~calm(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:((strong(X)|kind(X)))))&
((?[X]:((patient(X)<~>~old(X))))=>(~kind(mary)))&
((?[X]:((~funny(X)|~wise(X))))=>(?[X]:((old(X)&~old(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(patient(X))))&
(![X]:(brave(X)=>(~patient(X)&~tall(X))))&
(((patien... | ~creative(susan) | [
"p3",
"p4",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8612631013043882499849657
% SZS output start Proof for 8612631013043882499849657
4. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p3]
5. ? [X0] : ~quiet(X0) => ? [X0] : patient(X0) [input p4]
11. ! [X0] : (patient(X0) => (~funny(X0) & old(X0))) [input p10]
19. ... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is ... | Paul is generous. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humb... | generous(paul) | [
"p1",
"p4",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5723896018791995091730312
% SZS output start Proof for 5723896018791995091730312
2. ! [X0] : ((~funny(X0) | generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
9. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input ... | 0 |
Everyone who is happy or old is either not quiet or happy and vice versa. If alice is either not humble or strong then fred is not creative or strong and vice versa. Everyone who is not old is either not quiet or rich and vice versa. Everyone who is not curious or not kind is not brave. Everyone who is either not gener... | Susan is not brave. | entailment | (![X]:((happy(X)|old(X))<=>(~quiet(X)<~>happy(X))))&
(((~humble(alice)<~>strong(alice)))<=>((~creative(fred)|strong(fred))))&
(![X]:(~old(X)<=>(~quiet(X)<~>rich(X))))&
(![X]:((~curious(X)|~kind(X))=>~brave(X)))&
(![X]:((~generous(X)<~>~funny(X))=>(wise(X)<~>~humble(X))))&
(![X]:((~tall(X)|old(X))<=>(calm(X)<~>humble(X)... | ~brave(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1146752420377929472363190
% SZS output start Proof for 1146752420377929472363190
4. ! [X0] : ((~kind(X0) | ~curious(X0)) => ~brave(X0)) [input p3]
7. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> brave(X0)) [input p6]
25. brave(susan) [input hypothesis]
26. ! [X0] : (~brave(X0) | (kind(X0) & curi... | 0 |
If someone is quiet then lucy is both not rich and funny and vice versa.
If john is kind then someone is both funny and kind.
Everyone who is humble is not brave.
Everyone who is either curious or not quiet is either quiet or happy and vice versa.
If john is creative then paul is not funny or not brave and vice versa.
... | Alice is not happy. | entailment | ((?[X]:(quiet(X)))<=>((~rich(lucy)&funny(lucy))))&
((kind(john))=>(?[X]:((funny(X)&kind(X)))))&
(![X]:(humble(X)=>~brave(X)))&
(![X]:((curious(X)<~>~quiet(X))<=>(quiet(X)<~>happy(X))))&
((creative(john))<=>((~funny(paul)|~brave(paul))))&
(![X]:((~old(X)<~>tall(X))=>(rich(X)|wise(X))))&
(![X]:((~generous(X)&patient(X))=... | ~happy(alice) | [
"p2",
"p3",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 534293193475923812629902
% SZS output start Proof for 534293193475923812629902
3. ! [X0] : (humble(X0) => ~brave(X0)) [input p2]
4. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (quiet(X0) <~> happy(X0))) [input p3]
13. ! [X0] : ((old(X0) | ~humble(X0)) => curious(X0)) [input p12]
16. ? [X0]... | 0 |
If someone is happy or not calm then lucy is happy or humble and vice versa.
If john is both quiet and rich then someone is either not patient or not humble and vice versa.
Everyone who is either brave or quiet is not humble and vice versa.
If someone is both not tall and creative then someone is either not calm or not... | Lucy is creative. | neutral | ((?[X]:((happy(X)|~calm(X))))<=>((happy(lucy)|humble(lucy))))&
(((quiet(john)&rich(john)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((brave(X)<~>quiet(X))<=>~humble(X)))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:(~calm(X)<=>(strong(X)<~>~tall(X))))&
((~curious(paul))=>((old(alice)... | creative(lucy) | [] | null | 0 |
If someone is both not generous and not strong then john is both old and quiet.
If someone is both not strong and not curious then mary is either not tall or generous.
If susan is both patient and not creative then someone is either not patient or old.
Everyone who is both calm and tall is either calm or not humble.
Ev... | Mary is not quiet. | entailment | ((?[X]:((~generous(X)&~strong(X))))=>((old(john)&quiet(john))))&
((?[X]:((~strong(X)&~curious(X))))=>((~tall(mary)<~>generous(mary))))&
(((patient(susan)&~creative(susan)))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:((calm(X)&tall(X))=>(calm(X)<~>~humble(X))))&
(![X]:((~wise(X)&~calm(X))=>~generous(X)))&
(![X]:((strong(X... | ~quiet(mary) | [
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 795603098594162261785657
% SZS output start Proof for 795603098594162261785657
11. ! [X0] : (~brave(X0) <=> (strong(X0) & ~wise(X0))) [input p10]
13. ? [X0] : quiet(X0) => ? [X0] : ~brave(X0) [input p12]
15. ! [X0] : ((strong(X0) | ~old(X0)) => ~strong(X0)) [input p14]
23. quiet(mary) [in... | 0 |
If john is either old or generous then alice is curious.
Everyone who is either not kind or humble is both not quiet and quiet and vice versa.
Everyone who is not calm is kind or happy.
If lucy is not old then someone is either kind or happy and vice versa.
Everyone who is not creative is not quiet or strong.
Everyone ... | Lucy is not quiet. | neutral | (((old(john)<~>generous(john)))=>(curious(alice)))&
(![X]:((~kind(X)<~>humble(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(~calm(X)=>(kind(X)|happy(X))))&
((~old(lucy))<=>(?[X]:((kind(X)<~>happy(X)))))&
(![X]:(~creative(X)=>(~quiet(X)|strong(X))))&
(![X]:(quiet(X)=>(~funny(X)<~>~old(X))))&
((~curious(mary))<=>(?[X]:(~strong(X)... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either curious or calm is either generous or humble.
If mary is both wise and tall then alice is either not kind or generous.
If paul is either not creative or kind then alice is generous or creative.
If fred is not generous or not humble then fred is strong.
Everyone who is quiet or not strong is both ... | Mary is not generous. | contradiction | (![X]:((curious(X)<~>calm(X))=>(generous(X)<~>humble(X))))&
(((wise(mary)&tall(mary)))=>((~kind(alice)<~>generous(alice))))&
(((~creative(paul)<~>kind(paul)))=>((generous(alice)|creative(alice))))&
(((~generous(fred)|~humble(fred)))=>(strong(fred)))&
(![X]:((quiet(X)|~strong(X))<=>(patient(X)&~rich(X))))&
(![X]:(calm(X... | ~generous(mary) | [
"p0",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1235942605744334255877451
% SZS output start Proof for 1235942605744334255877451
1. ! [X0] : ((curious(X0) <~> calm(X0)) => (generous(X0) <~> humble(X0))) [input p0]
7. ? [X0] : (curious(X0) & ~humble(X0)) => ? [X0] : humble(X0) [input p6]
16. ! [X0] : (~funny(X0) <=> (humble(X0) <~> ~fun... | 0 |
If someone is not generous then someone is either wise or not tall.
Everyone who is creative or not strong is not funny or kind and vice versa.
If paul is creative or rich then lucy is either calm or not funny.
Everyone who is humble or patient is not wise or not quiet.
If someone is both wise and not humble then someo... | Susan is rich. | neutral | ((?[X]:(~generous(X)))=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((creative(X)|~strong(X))<=>(~funny(X)|kind(X))))&
(((creative(paul)|rich(paul)))=>((calm(lucy)<~>~funny(lucy))))&
(![X]:((humble(X)|patient(X))=>(~wise(X)|~quiet(X))))&
((?[X]:((wise(X)&~humble(X))))<=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:((~curious(X)&... | rich(susan) | [] | null | 0 |
Everyone who is not tall or not generous is both funny and old and vice versa. If paul is either not calm or tall then alice is both patient and strong and vice versa. Everyone who is either not strong or not happy is not generous. If paul is old or not quiet then fred is not creative. Everyone who is not quiet is not ... | Paul is not patient. | neutral | (![X]:((~tall(X)|~generous(X))<=>(funny(X)&old(X))))&
(((~calm(paul)<~>tall(paul)))<=>((patient(alice)&strong(alice))))&
(![X]:((~strong(X)<~>~happy(X))=>~generous(X)))&
(((old(paul)|~quiet(paul)))=>(~creative(fred)))&
(![X]:(~quiet(X)<=>~curious(X)))&
(![X]:((~kind(X)<~>~funny(X))<=>(~curious(X)<~>~quiet(X))))&
(![X]:... | ~patient(paul) | [] | null | 0 |
Everyone who is both rich and happy is either generous or quiet and vice versa. Everyone who is both funny and not generous is both tall and humble and vice versa. If paul is not humble or wise then alice is not patient and vice versa. If mary is either humble or patient then someone is either creative or generous and ... | Mary is not humble. | contradiction | (![X]:((rich(X)&happy(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((funny(X)&~generous(X))<=>(tall(X)&humble(X))))&
(((~humble(paul)|wise(paul)))<=>(~patient(alice)))&
(((humble(mary)<~>patient(mary)))<=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)<~>tall(X))=>(humble(X)&creative(X))))&
(![X]:(~kind(X)=>(brave(X... | ~humble(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8611273715391571251952954
% SZS output start Proof for 8611273715391571251952954
5. ! [X0] : ((~tall(X0) <~> tall(X0)) => (creative(X0) & humble(X0))) [input p4]
24. ~humble(mary) [input hypothesis]
25. ! [X0] : ((creative(X0) & humble(X0)) | (~tall(X0) <=> tall(X0))) [ennf transformation... | 0 |
Everyone who is not curious or not quiet is both not generous and kind.
Everyone who is either not funny or not wise is rich.
Everyone who is patient is either happy or not funny and vice versa.
If susan is not happy or not creative then someone is either calm or kind.
If susan is patient or curious then alice is not f... | Fred is not humble. | neutral | (![X]:((~curious(X)|~quiet(X))=>(~generous(X)&kind(X))))&
(![X]:((~funny(X)<~>~wise(X))=>rich(X)))&
(![X]:(patient(X)<=>(happy(X)<~>~funny(X))))&
(((~happy(susan)|~creative(susan)))=>(?[X]:((calm(X)<~>kind(X)))))&
(((patient(susan)|curious(susan)))=>((~funny(alice)|~humble(alice))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(... | ~humble(fred) | [] | null | 0 |
If someone is humble then someone is either strong or not brave. Everyone who is both not humble and creative is either not tall or calm. If someone is funny then john is not patient and vice versa. Everyone who is old or not humble is both curious and generous and vice versa. Everyone who is patient is either not crea... | Paul is rich. | contradiction | ((?[X]:(humble(X)))=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~humble(X)&creative(X))=>(~tall(X)<~>calm(X))))&
((?[X]:(funny(X)))<=>(~patient(john)))&
(![X]:((old(X)|~humble(X))<=>(curious(X)&generous(X))))&
(![X]:(patient(X)<=>(~creative(X)<~>creative(X))))&
((?[X]:(funny(X)))<=>((wise(paul)&humble(paul))))&
(![X]:(... | rich(paul) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1585683838867824643789405
% SZS output start Proof for 1585683838867824643789405
11. ~calm(paul) <=> ? [X0] : ~strong(X0) [input p10]
16. ! [X0] : ((calm(X0) & ~strong(X0)) <=> (~strong(X0) | rich(X0))) [input p15]
25. rich(paul) [input hypothesis]
56. (~calm(paul) | ! [X0] : strong(X0)) ... | 0 |
If mary is not patient or not old then someone is not happy and vice versa.
Everyone who is both not kind and curious is either rich or not creative.
Everyone who is not old is either generous or not strong and vice versa.
Everyone who is not strong or old is both humble and brave.
Everyone who is not tall is both funn... | Paul is happy. | neutral | (((~patient(mary)|~old(mary)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)&curious(X))=>(rich(X)<~>~creative(X))))&
(![X]:(~old(X)<=>(generous(X)<~>~strong(X))))&
(![X]:((~strong(X)|old(X))=>(humble(X)&brave(X))))&
(![X]:(~tall(X)=>(funny(X)&~happy(X))))&
(![X]:((~wise(X)&~brave(X))=>(kind(X)&strong(X))))&
(((happy(john)<~... | happy(paul) | [] | null | 0 |
If alice is either not calm or funny then someone is creative or funny.
If john is not quiet then someone is not funny.
If fred is either not humble or not creative then alice is not funny or not brave.
Everyone who is not curious or not calm is wise and vice versa.
If john is wise or not brave then someone is both kin... | Susan is not funny. | neutral | (((~calm(alice)<~>funny(alice)))=>(?[X]:((creative(X)|funny(X)))))&
((~quiet(john))=>(?[X]:(~funny(X))))&
(((~humble(fred)<~>~creative(fred)))=>((~funny(alice)|~brave(alice))))&
(![X]:((~curious(X)|~calm(X))<=>wise(X)))&
(((wise(john)|~brave(john)))<=>(?[X]:((kind(X)&~generous(X)))))&
(((patient(paul)|~brave(paul)))<=>... | ~funny(susan) | [] | null | 0 |
If someone is both not quiet and not creative then alice is funny or old. Everyone who is either not strong or humble is not quiet and vice versa. Everyone who is either rich or not kind is both generous and funny and vice versa. Everyone who is quiet is not generous and vice versa. If someone is kind or tall then some... | Fred is not kind. | neutral | ((?[X]:((~quiet(X)&~creative(X))))=>((funny(alice)|old(alice))))&
(![X]:((~strong(X)<~>humble(X))<=>~quiet(X)))&
(![X]:((rich(X)<~>~kind(X))<=>(generous(X)&funny(X))))&
(![X]:(quiet(X)<=>~generous(X)))&
((?[X]:((kind(X)|tall(X))))<=>(?[X]:((rich(X)<~>humble(X)))))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((rich(X)&calm... | ~kind(fred) | [] | null | 0 |
If someone is not tall then someone is both not creative and not calm and vice versa.
Everyone who is either patient or not wise is tall or not happy and vice versa.
If someone is not patient then fred is either old or not funny and vice versa.
Everyone who is either not rich or tall is tall or not kind.
Everyone who i... | Alice is not strong. | neutral | ((?[X]:(~tall(X)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:((patient(X)<~>~wise(X))<=>(tall(X)|~happy(X))))&
((?[X]:(~patient(X)))<=>((old(fred)<~>~funny(fred))))&
(![X]:((~rich(X)<~>tall(X))=>(tall(X)|~kind(X))))&
(![X]:((quiet(X)&~funny(X))<=>~generous(X)))&
(![X]:((~creative(X)&funny(X))=>(~curious(X)|calm(X))))&... | ~strong(alice) | [] | null | 0 |
If someone is funny or generous then lucy is not calm. Everyone who is not tall is not calm or not kind and vice versa. Everyone who is either not strong or not happy is not quiet or kind and vice versa. Everyone who is not wise is old. If someone is both wise and brave then someone is not happy or quiet and vice versa... | Alice is not creative. | neutral | ((?[X]:((funny(X)|generous(X))))=>(~calm(lucy)))&
(![X]:(~tall(X)<=>(~calm(X)|~kind(X))))&
(![X]:((~strong(X)<~>~happy(X))<=>(~quiet(X)|kind(X))))&
(![X]:(~wise(X)=>old(X)))&
((?[X]:((wise(X)&brave(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
((?[X]:((strong(X)<~>old(X))))<=>((strong(fred)|~curious(fred))))&
(![X]:((humble(... | ~creative(alice) | [] | null | 0 |
Everyone who is funny or old is both rich and old and vice versa.
Everyone who is curious is both not patient and not funny and vice versa.
If someone is not wise or not patient then someone is either happy or not creative and vice versa.
Everyone who is calm or strong is both kind and not calm.
Everyone who is either ... | Lucy is old. | neutral | (![X]:((funny(X)|old(X))<=>(rich(X)&old(X))))&
(![X]:(curious(X)<=>(~patient(X)&~funny(X))))&
((?[X]:((~wise(X)|~patient(X))))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:((calm(X)|strong(X))=>(kind(X)&~calm(X))))&
(![X]:((~rich(X)<~>~wise(X))=>(~kind(X)<~>~strong(X))))&
(![X]:((creative(X)<~>kind(X))<=>(~happy(X)<~>~... | old(lucy) | [] | null | 0 |
If someone is both humble and brave then john is not generous or generous.
Everyone who is both generous and creative is kind or tall and vice versa.
Everyone who is not funny or wise is either rich or creative.
If someone is humble then mary is both not strong and old and vice versa.
If someone is calm then paul is ei... | Paul is humble. | contradiction | ((?[X]:((humble(X)&brave(X))))=>((~generous(john)|generous(john))))&
(![X]:((generous(X)&creative(X))<=>(kind(X)|tall(X))))&
(![X]:((~funny(X)|wise(X))=>(rich(X)<~>creative(X))))&
((?[X]:(humble(X)))<=>((~strong(mary)&old(mary))))&
((?[X]:(calm(X)))=>((strong(paul)<~>old(paul))))&
(![X]:(~kind(X)<=>(~patient(X)&~old(X)... | humble(paul) | [
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5251721884194283785937925
% SZS output start Proof for 5251721884194283785937925
4. ? [X0] : humble(X0) <=> (old(mary) & ~strong(mary)) [input p3]
6. ! [X0] : (~kind(X0) <=> (~old(X0) & ~patient(X0))) [input p5]
20. ~humble(mary) & ~kind(mary) [input p19]
22. humble(paul) [input hypothesi... | 0 |
If alice is either tall or not rich then john is curious or not brave.
If someone is both not creative and strong then someone is either not old or not curious.
Everyone who is both funny and not old is both funny and not strong.
Everyone who is either not generous or not creative is not happy.
Everyone who is either b... | Lucy is not generous. | entailment | (((tall(alice)<~>~rich(alice)))=>((curious(john)|~brave(john))))&
((?[X]:((~creative(X)&strong(X))))=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((funny(X)&~old(X))=>(funny(X)&~strong(X))))&
(![X]:((~generous(X)<~>~creative(X))=>~happy(X)))&
(![X]:((brave(X)<~>happy(X))<=>(~curious(X)&brave(X))))&
(![X]:((generous(X)&~wi... | ~generous(lucy) | [
"p4",
"p5",
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7782280213370574319589533
% SZS output start Proof for 7782280213370574319589533
5. ! [X0] : ((brave(X0) <~> happy(X0)) <=> (brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~wise(X0) & generous(X0)) <=> ~calm(X0)) [input p5]
7. ? [X0] : ~happy(X0) <=> (~calm(john) & curious(john)) [in... | 0 |
If someone is not generous then alice is both not curious and calm.
If someone is either not generous or happy then someone is both not strong and not funny and vice versa.
If john is either not old or generous then fred is not curious.
Everyone who is either not tall or not kind is not brave and vice versa.
If someone... | Susan is old. | contradiction | ((?[X]:(~generous(X)))=>((~curious(alice)&calm(alice))))&
((?[X]:((~generous(X)<~>happy(X))))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~old(john)<~>generous(john)))=>(~curious(fred)))&
(![X]:((~tall(X)<~>~kind(X))<=>~brave(X)))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((brave(X)&curious(X))<=>(brave(X)&~o... | old(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7628982414717067018723591
% SZS output start Proof for 7628982414717067018723591
7. ! [X0] : ((brave(X0) | ~brave(X0)) => (strong(X0) & ~old(X0))) [input p6]
21. old(susan) [input hypothesis]
27. ! [X0] : ((strong(X0) & ~old(X0)) | (~brave(X0) & brave(X0))) [ennf transformation 7]
81. ~ol... | 0 |
If john is either not brave or not kind then someone is both tall and rich. Everyone who is not humble is either calm or kind and vice versa. Everyone who is not brave or funny is not quiet and vice versa. If someone is not rich or not calm then susan is strong. Everyone who is not old is kind or not calm. Everyone who... | Susan is patient. | entailment | (((~brave(john)<~>~kind(john)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:(~humble(X)<=>(calm(X)<~>kind(X))))&
(![X]:((~brave(X)|funny(X))<=>~quiet(X)))&
((?[X]:((~rich(X)|~calm(X))))=>(strong(susan)))&
(![X]:(~old(X)=>(kind(X)|~calm(X))))&
(![X]:((~curious(X)|~patient(X))<=>happy(X)))&
(((curious(susan)&~tall(susan)))<=>((h... | patient(susan) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3187497041717888392256428
% SZS output start Proof for 3187497041717888392256428
15. ? [X0] : ~strong(X0) => (old(susan) & patient(susan)) [input p14]
23. ? [X0] : (~strong(X0) & curious(X0)) [input p22]
24. ~patient(susan) [input hypothesis]
37. (old(susan) & patient(susan)) | ! [X0] : s... | 0 |
Everyone who is both generous and wise is curious. Everyone who is both kind and generous is either not old or not tall. If mary is not calm then susan is rich. Everyone who is not old or not humble is not generous or tall. If lucy is both calm and not tall then someone is both not quiet and not rich. Everyone who is n... | Paul is not quiet. | contradiction | (![X]:((generous(X)&wise(X))=>curious(X)))&
(![X]:((kind(X)&generous(X))=>(~old(X)<~>~tall(X))))&
((~calm(mary))=>(rich(susan)))&
(![X]:((~old(X)|~humble(X))=>(~generous(X)|tall(X))))&
(((calm(lucy)&~tall(lucy)))=>(?[X]:((~quiet(X)&~rich(X)))))&
(![X]:((~strong(X)|strong(X))=>(~creative(X)<~>wise(X))))&
(![X]:((~brave(... | ~quiet(paul) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5768139107939049306287611
% SZS output start Proof for 5768139107939049306287611
8. ! [X0] : ((wise(X0) & quiet(X0)) <=> (old(X0) | curious(X0))) [input p7]
18. ~kind(paul) & old(paul) [input p17]
25. ~quiet(paul) [input hypothesis]
50. ! [X0] : (((wise(X0) & quiet(X0)) | (~old(X0) & ~cur... | 0 |
Everyone who is both calm and funny is not humble or not wise.
Everyone who is quiet is both patient and calm and vice versa.
If mary is both not funny and wise then lucy is either not happy or not generous.
If paul is both funny and not curious then paul is not creative or tall and vice versa.
If someone is curious or... | Lucy is not strong. | entailment | (![X]:((calm(X)&funny(X))=>(~humble(X)|~wise(X))))&
(![X]:(quiet(X)<=>(patient(X)&calm(X))))&
(((~funny(mary)&wise(mary)))=>((~happy(lucy)<~>~generous(lucy))))&
(((funny(paul)&~curious(paul)))<=>((~creative(paul)|tall(paul))))&
((?[X]:((curious(X)|tall(X))))<=>(?[X]:((strong(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>~curi... | ~strong(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 241412487454757085827408
% SZS output start Proof for 241412487454757085827408
8. ! [X0] : ((old(X0) | ~strong(X0)) <=> ~old(X0)) [input p7]
24. strong(lucy) [input hypothesis]
52. ! [X0] : (((old(X0) | ~strong(X0)) | old(X0)) & (~old(X0) | (~old(X0) & strong(X0)))) [nnf transformation 8]... | 0 |
Everyone who is not quiet is not creative.
Everyone who is either not brave or rich is both not curious and calm.
If someone is either not curious or not tall then someone is both kind and not calm and vice versa.
If susan is not kind or not happy then someone is both humble and not humble.
Everyone who is old is not c... | John is not strong. | contradiction | (![X]:(~quiet(X)=>~creative(X)))&
(![X]:((~brave(X)<~>rich(X))=>(~curious(X)&calm(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(((~kind(susan)|~happy(susan)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creativ... | ~strong(john) | [
"p4",
"p6",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 395373593644875710523694
% SZS output start Proof for 395373593644875710523694
5. ! [X0] : (old(X0) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p6]
10. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (~strong(X0) <~> old(X0))) [input p9]... | 0 |
Everyone who is wise or calm is both not rich and not strong. If fred is not quiet then paul is calm or not quiet. Everyone who is both patient and not tall is brave or rich. Everyone who is either not happy or humble is generous or old and vice versa. Everyone who is not creative or patient is both happy and not tall.... | Alice is patient. | neutral | (![X]:((wise(X)|calm(X))=>(~rich(X)&~strong(X))))&
((~quiet(fred))=>((calm(paul)|~quiet(paul))))&
(![X]:((patient(X)&~tall(X))=>(brave(X)|rich(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(generous(X)|old(X))))&
(![X]:((~creative(X)|patient(X))=>(happy(X)&~tall(X))))&
((~quiet(fred))=>((~humble(fred)<~>~rich(fred))))&
((?[X... | patient(alice) | [] | null | 0 |
Everyone who is either not generous or happy is quiet or not brave. Everyone who is not rich is both strong and not rich and vice versa. If someone is both happy and patient then someone is humble. If susan is not humble then someone is rich and vice versa. Everyone who is both not generous and not creative is either n... | Susan is not old. | entailment | (![X]:((~generous(X)<~>happy(X))=>(quiet(X)|~brave(X))))&
(![X]:(~rich(X)<=>(strong(X)&~rich(X))))&
((?[X]:((happy(X)&patient(X))))=>(?[X]:(humble(X))))&
((~humble(susan))<=>(?[X]:(rich(X))))&
(![X]:((~generous(X)&~creative(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:(~brave(X)<=>(~rich(X)&~humble(X))))&
(![X]:((patient(X)|... | ~old(susan) | [
"p1",
"p7",
"p10",
"p11",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2736659083442857482604279
% SZS output start Proof for 2736659083442857482604279
2. ! [X0] : (~rich(X0) <=> (~rich(X0) & strong(X0))) [input p1]
8. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~creative(X0) | brave(X0))) [input p7]
11. ! [X0] : ((~wise(X0) <~> rich(X0)) <=> ~old(X0)) [input p1... | 0 |
Everyone who is both calm and not happy is curious. If someone is both not happy and curious then someone is quiet or brave. Everyone who is not calm or generous is either wise or strong. Everyone who is either not kind or kind is either funny or curious. Everyone who is both patient and not old is not curious and vice... | Mary is not strong. | neutral | (![X]:((calm(X)&~happy(X))=>curious(X)))&
((?[X]:((~happy(X)&curious(X))))=>(?[X]:((quiet(X)|brave(X)))))&
(![X]:((~calm(X)|generous(X))=>(wise(X)<~>strong(X))))&
(![X]:((~kind(X)<~>kind(X))=>(funny(X)<~>curious(X))))&
(![X]:((patient(X)&~old(X))<=>~curious(X)))&
(((~humble(susan)|~brave(susan)))<=>(brave(paul)))&
(![X... | ~strong(mary) | [] | null | 0 |
If paul is not tall then mary is either not humble or not creative and vice versa.
Everyone who is either not strong or funny is wise.
Everyone who is not generous is not creative and vice versa.
If someone is either not tall or not happy then someone is old and vice versa.
If someone is either not happy or not brave t... | Mary is not brave. | neutral | ((~tall(paul))<=>((~humble(mary)<~>~creative(mary))))&
(![X]:((~strong(X)<~>funny(X))=>wise(X)))&
(![X]:(~generous(X)<=>~creative(X)))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:(old(X))))&
((?[X]:((~happy(X)<~>~brave(X))))=>(?[X]:((~quiet(X)&tall(X)))))&
(((~quiet(susan)<~>~brave(susan)))=>(?[X]:((strong(X)&~rich(X))))... | ~brave(mary) | [] | null | 0 |
Everyone who is old is generous or not creative.
Everyone who is calm or not old is both calm and quiet.
If alice is tall then alice is both kind and not happy and vice versa.
Everyone who is not happy or not humble is either old or kind and vice versa.
Everyone who is either generous or tall is either not tall or calm... | Alice is not tall. | entailment | (![X]:(old(X)=>(generous(X)|~creative(X))))&
(![X]:((calm(X)|~old(X))=>(calm(X)&quiet(X))))&
((tall(alice))<=>((kind(alice)&~happy(alice))))&
(![X]:((~happy(X)|~humble(X))<=>(old(X)<~>kind(X))))&
(![X]:((generous(X)<~>tall(X))<=>(~tall(X)<~>calm(X))))&
(((quiet(susan)&~happy(susan)))=>((brave(mary)&kind(mary))))&
((~st... | ~tall(alice) | [
"p2",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6835846906448791461215797
% SZS output start Proof for 6835846906448791461215797
3. tall(alice) <=> (~happy(alice) & kind(alice)) [input p2]
4. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> (old(X0) <~> kind(X0))) [input p3]
19. old(alice) [input p18]
25. tall(alice) [input hypothesis]
37. (ta... | 0 |
If someone is tall then mary is either not curious or humble.
Everyone who is both not tall and kind is wise.
If someone is both quiet and funny then mary is either not wise or not strong.
If someone is kind or not old then mary is either creative or brave and vice versa.
Everyone who is not kind is both creative and n... | Alice is not generous. | neutral | ((?[X]:(tall(X)))=>((~curious(mary)<~>humble(mary))))&
(![X]:((~tall(X)&kind(X))=>wise(X)))&
((?[X]:((quiet(X)&funny(X))))=>((~wise(mary)<~>~strong(mary))))&
((?[X]:((kind(X)|~old(X))))<=>((creative(mary)<~>brave(mary))))&
(![X]:(~kind(X)=>(creative(X)&~creative(X))))&
(![X]:((creative(X)|tall(X))=>(happy(X)&~generous(... | ~generous(alice) | [] | null | 0 |
Everyone who is either not funny or not creative is not generous or not rich and vice versa. If someone is either not calm or not happy then someone is not funny or not patient and vice versa. Everyone who is either not calm or not creative is both rich and kind and vice versa. Everyone who is both generous and not bra... | Lucy is funny. | contradiction | (![X]:((~funny(X)<~>~creative(X))<=>(~generous(X)|~rich(X))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>(?[X]:((~funny(X)|~patient(X)))))&
(![X]:((~calm(X)<~>~creative(X))<=>(rich(X)&kind(X))))&
(![X]:((generous(X)&~brave(X))<=>~wise(X)))&
(((rich(lucy)&brave(lucy)))<=>(?[X]:((calm(X)<~>~brave(X)))))&
(![X]:(funny(X)=>(old(X... | funny(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3034742205749708297646597
% SZS output start Proof for 3034742205749708297646597
1. ! [X0] : ((~funny(X0) <~> ~creative(X0)) <=> (~rich(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (kind(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & generous(X0)... | 0 |
If lucy is not wise or generous then someone is either not happy or not creative.
If someone is both not humble and not creative then someone is both not humble and creative and vice versa.
If fred is either not wise or not rich then mary is both curious and kind and vice versa.
If someone is both kind and not calm the... | Paul is not tall. | entailment | (((~wise(lucy)|generous(lucy)))=>(?[X]:((~happy(X)<~>~creative(X)))))&
((?[X]:((~humble(X)&~creative(X))))<=>(?[X]:((~humble(X)&creative(X)))))&
(((~wise(fred)<~>~rich(fred)))<=>((curious(mary)&kind(mary))))&
((?[X]:((kind(X)&~calm(X))))<=>((patient(mary)|~kind(mary))))&
(((creative(susan)<~>~curious(susan)))=>(?[X]:((... | ~tall(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 765572025512347223640761
% SZS output start Proof for 765572025512347223640761
9. ! [X0] : (~generous(X0) <=> (generous(X0) | humble(X0))) [input p8]
14. ? [X0] : humble(X0) <=> ~tall(paul) [input p13]
25. tall(paul) [input hypothesis]
66. ! [X0] : ((~generous(X0) | (~generous(X0) & ~humb... | 0 |
Everyone who is not quiet or not calm is funny or rich.
Everyone who is generous is rich or not generous and vice versa.
If paul is old or wise then fred is not calm or not generous.
Everyone who is either generous or not kind is humble or not rich.
If someone is old then mary is not tall or strong.
If someone is not b... | Paul is not funny. | neutral | (![X]:((~quiet(X)|~calm(X))=>(funny(X)|rich(X))))&
(![X]:(generous(X)<=>(rich(X)|~generous(X))))&
(((old(paul)|wise(paul)))=>((~calm(fred)|~generous(fred))))&
(![X]:((generous(X)<~>~kind(X))=>(humble(X)|~rich(X))))&
((?[X]:(old(X)))=>((~tall(mary)|strong(mary))))&
((?[X]:((~brave(X)|humble(X))))=>((~tall(susan)|funny(s... | ~funny(paul) | [] | null | 0 |
If fred is not wise or quiet then mary is both not patient and not happy and vice versa.
If susan is both wise and not curious then mary is not strong or patient.
Everyone who is not calm or old is brave.
Everyone who is either old or not rich is rich and vice versa.
Everyone who is both not quiet and not patient is bo... | Lucy is not strong. | entailment | (((~wise(fred)|quiet(fred)))<=>((~patient(mary)&~happy(mary))))&
(((wise(susan)&~curious(susan)))=>((~strong(mary)|patient(mary))))&
(![X]:((~calm(X)|old(X))=>brave(X)))&
(![X]:((old(X)<~>~rich(X))<=>rich(X)))&
(![X]:((~quiet(X)&~patient(X))=>(quiet(X)&~kind(X))))&
(![X]:((~kind(X)&~generous(X))=>~brave(X)))&
((happy(l... | ~strong(lucy) | [
"p3",
"p4",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6410715421611054466445976
% SZS output start Proof for 6410715421611054466445976
4. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> rich(X0)) [input p3]
5. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (~kind(X0) & quiet(X0))) [input p4]
13. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (humble(X0) <~> strong(... | 0 |
If mary is either not strong or strong then someone is not tall.
Everyone who is either happy or rich is kind or calm.
Everyone who is either not rich or strong is both brave and not funny.
If someone is not curious or not humble then paul is either happy or humble.
If someone is either curious or not wise then susan i... | Susan is not strong. | contradiction | (((~strong(mary)<~>strong(mary)))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)<~>rich(X))=>(kind(X)|calm(X))))&
(![X]:((~rich(X)<~>strong(X))=>(brave(X)&~funny(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((happy(paul)<~>humble(paul))))&
((?[X]:((curious(X)<~>~wise(X))))=>(funny(susan)))&
(![X]:(humble(X)=>(~curious(X)|humble(X... | ~strong(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 20974785145207286503068
% SZS output start Proof for 20974785145207286503068
20. strong(susan) [input p19]
23. ~strong(susan) [input hypothesis]
120. strong(susan) [cnf transformation 20]
124. ~strong(susan) [cnf transformation 23]
250. $false [subsumption resolution 124,120]
% SZS output... | 0 |
If someone is either not funny or funny then someone is both quiet and not strong and vice versa.
Everyone who is not rich or not wise is either not tall or generous and vice versa.
Everyone who is either humble or not humble is old and vice versa.
If someone is both generous and strong then someone is either not gener... | Alice is rich. | entailment | ((?[X]:((~funny(X)<~>funny(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~rich(X)|~wise(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((humble(X)<~>~humble(X))<=>old(X)))&
((?[X]:((generous(X)&strong(X))))<=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((humble(X)|~creative(X))))<=>(~tall(alice)))&
((?[X]:(funny(X)))<=>(?[... | rich(alice) | [
"p2",
"p4",
"p9",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6431259849745595377244070
% SZS output start Proof for 6431259849745595377244070
3. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> old(X0)) [input p2]
5. ? [X0] : (~creative(X0) | humble(X0)) <=> ~tall(alice) [input p4]
10. ! [X0] : ((~rich(X0) | patient(X0)) => creative(X0)) [input p9]
14. !... | 0 |
Everyone who is either not happy or not quiet is both calm and not kind.
Everyone who is either not brave or strong is both not wise and wise.
Everyone who is both happy and not humble is not humble.
If susan is not tall then alice is patient.
Everyone who is funny or not generous is both not kind and wise.
If mary is ... | Mary is not funny. | neutral | (![X]:((~happy(X)<~>~quiet(X))=>(calm(X)&~kind(X))))&
(![X]:((~brave(X)<~>strong(X))=>(~wise(X)&wise(X))))&
(![X]:((happy(X)&~humble(X))=>~humble(X)))&
((~tall(susan))=>(patient(alice)))&
(![X]:((funny(X)|~generous(X))=>(~kind(X)&wise(X))))&
((rich(mary))<=>((~calm(lucy)<~>~wise(lucy))))&
((?[X]:((strong(X)&old(X))))<=... | ~funny(mary) | [] | null | 0 |
If someone is both strong and not old then someone is wise.
If lucy is either quiet or wise then mary is either creative or curious and vice versa.
Everyone who is wise is not strong or not brave.
Everyone who is either humble or brave is not brave and vice versa.
Everyone who is either not patient or not quiet is eith... | Fred is humble. | entailment | ((?[X]:((strong(X)&~old(X))))=>(?[X]:(wise(X))))&
(((quiet(lucy)<~>wise(lucy)))<=>((creative(mary)<~>curious(mary))))&
(![X]:(wise(X)=>(~strong(X)|~brave(X))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X)... | humble(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 281672011895193296749448
% SZS output start Proof for 281672011895193296749448
4. ! [X0] : ((humble(X0) <~> brave(X0)) <=> ~brave(X0)) [input p3]
24. ~humble(fred) [input hypothesis]
44. ! [X0] : ((((~brave(X0) | ~humble(X0)) & (brave(X0) | humble(X0))) | brave(X0)) & (~brave(X0) | ((humb... | 0 |
Everyone who is either calm or humble is not calm or not generous.
Everyone who is kind or tall is not creative or not calm.
If mary is not wise or not creative then someone is not rich.
Everyone who is both not wise and not rich is funny and vice versa.
Everyone who is either generous or not old is both not humble and... | Mary is strong. | neutral | (![X]:((calm(X)<~>humble(X))=>(~calm(X)|~generous(X))))&
(![X]:((kind(X)|tall(X))=>(~creative(X)|~calm(X))))&
(((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wis... | strong(mary) | [] | null | 0 |
Everyone who is not strong is not humble and vice versa.
Everyone who is both not patient and not happy is both funny and not calm.
Everyone who is either not calm or wise is rich or not curious.
Everyone who is both not patient and humble is either creative or curious and vice versa.
Everyone who is not rich or not cu... | Fred is humble. | contradiction | (![X]:(~strong(X)<=>~humble(X)))&
(![X]:((~patient(X)&~happy(X))=>(funny(X)&~calm(X))))&
(![X]:((~calm(X)<~>wise(X))=>(rich(X)|~curious(X))))&
(![X]:((~patient(X)&humble(X))<=>(creative(X)<~>curious(X))))&
(![X]:((~rich(X)|~curious(X))=>~wise(X)))&
((?[X]:(~tall(X)))=>(?[X]:(~kind(X))))&
((old(alice))<=>(?[X]:((~wise(X... | humble(fred) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7655622091395814713346179
% SZS output start Proof for 7655622091395814713346179
1. ! [X0] : (~strong(X0) <=> ~humble(X0)) [input p0]
14. ! [X0] : (~old(X0) <=> (strong(X0) <~> ~old(X0))) [input p13]
24. humble(fred) [input hypothesis]
38. ! [X0] : ((~strong(X0) | humble(X0)) & (~humble(X... | 0 |
If lucy is either curious or not creative then someone is strong and vice versa.
If john is either not tall or curious then someone is either not happy or not wise and vice versa.
Everyone who is either not patient or tall is not wise or happy.
Everyone who is either not patient or not creative is not old or not brave ... | John is not brave. | entailment | (((curious(lucy)<~>~creative(lucy)))<=>(?[X]:(strong(X))))&
(((~tall(john)<~>curious(john)))<=>(?[X]:((~happy(X)<~>~wise(X)))))&
(![X]:((~patient(X)<~>tall(X))=>(~wise(X)|happy(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~old(X)|~brave(X))))&
(![X]:((~humble(X)&quiet(X))<=>(~strong(X)|generous(X))))&
(![X]:((old(X)<~... | ~brave(john) | [
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4076549364385817967522069
% SZS output start Proof for 4076549364385817967522069
4. ! [X0] : ((~patient(X0) <~> ~creative(X0)) <=> (~brave(X0) | ~old(X0))) [input p3]
10. ! [X0] : (old(X0) <=> patient(X0)) [input p9]
11. ! [X0] : ((quiet(X0) | creative(X0)) => ~brave(X0)) [input p10]
23. ... | 0 |
If fred is both kind and not calm then paul is both funny and strong.
Everyone who is both not happy and not curious is both rich and not patient.
Everyone who is humble or not tall is brave or not patient and vice versa.
Everyone who is old or not old is either strong or not humble and vice versa.
If someone is both c... | Paul is not creative. | neutral | (((kind(fred)&~calm(fred)))=>((funny(paul)&strong(paul))))&
(![X]:((~happy(X)&~curious(X))=>(rich(X)&~patient(X))))&
(![X]:((humble(X)|~tall(X))<=>(brave(X)|~patient(X))))&
(![X]:((old(X)|~old(X))<=>(strong(X)<~>~humble(X))))&
((?[X]:((calm(X)&generous(X))))<=>((~wise(john)<~>generous(john))))&
((?[X]:((~kind(X)|kind(X... | ~creative(paul) | [] | null | 0 |
If lucy is not creative or humble then someone is brave or not humble. If susan is either funny or wise then someone is both not patient and kind. Everyone who is calm is either humble or creative. Everyone who is both not brave and funny is happy and vice versa. Everyone who is generous is not generous or not quiet. I... | Fred is not humble. | entailment | (((~creative(lucy)|humble(lucy)))=>(?[X]:((brave(X)|~humble(X)))))&
(((funny(susan)<~>wise(susan)))=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:(calm(X)=>(humble(X)<~>creative(X))))&
(![X]:((~brave(X)&funny(X))<=>happy(X)))&
(![X]:(generous(X)=>(~generous(X)|~quiet(X))))&
(((wise(fred)<~>~happy(fred)))<=>(?[X]:((~quiet(X)<... | ~humble(fred) | [
"p2",
"p6",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7017935061208384392746716
% SZS output start Proof for 7017935061208384392746716
3. ! [X0] : (calm(X0) => (humble(X0) <~> creative(X0))) [input p2]
7. ! [X0] : ((~humble(X0) <~> patient(X0)) <=> (tall(X0) | calm(X0))) [input p6]
9. ! [X0] : (~patient(X0) <=> (~quiet(X0) & ~creative(X0))) ... | 0 |
Everyone who is not tall is not brave or happy. If someone is either humble or brave then someone is either not funny or tall. Everyone who is humble is curious or brave and vice versa. Everyone who is either not kind or not calm is both not calm and brave and vice versa. Everyone who is happy or not brave is not kind ... | Susan is not brave. | entailment | (![X]:(~tall(X)=>(~brave(X)|happy(X))))&
((?[X]:((humble(X)<~>brave(X))))=>(?[X]:((~funny(X)<~>tall(X)))))&
(![X]:(humble(X)<=>(curious(X)|brave(X))))&
(![X]:((~kind(X)<~>~calm(X))<=>(~calm(X)&brave(X))))&
(![X]:((happy(X)|~brave(X))<=>~kind(X)))&
(((~curious(susan)<~>kind(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((~tal... | ~brave(susan) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6827793707879547252119821
% SZS output start Proof for 6827793707879547252119821
1. ! [X0] : (~tall(X0) => (happy(X0) | ~brave(X0))) [input p0]
3. ! [X0] : (humble(X0) <=> (brave(X0) | curious(X0))) [input p2]
5. ! [X0] : ((~brave(X0) | happy(X0)) <=> ~kind(X0)) [input p4]
7. ! [X0] : ((~... | 0 |
If someone is curious or not funny then someone is not rich and vice versa. Everyone who is either not funny or not quiet is not quiet or creative and vice versa. Everyone who is brave or generous is either happy or brave. If someone is both strong and calm then someone is either not brave or quiet and vice versa. Ever... | Alice is funny. | entailment | ((?[X]:((curious(X)|~funny(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(~quiet(X)|creative(X))))&
(![X]:((brave(X)|generous(X))=>(happy(X)<~>brave(X))))&
((?[X]:((strong(X)&calm(X))))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:((~creative(X)&~patient(X))=>(rich(X)&~calm(X))))&
(((quiet(susan)&~generous(... | funny(alice) | [
"p1",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7955329669289859280277028
% SZS output start Proof for 7955329669289859280277028
2. ! [X0] : ((~funny(X0) <~> ~quiet(X0)) <=> (creative(X0) | ~quiet(X0))) [input p1]
4. ? [X0] : (calm(X0) & strong(X0)) <=> ? [X0] : (~brave(X0) <~> quiet(X0)) [input p3]
7. ! [X0] : (~brave(X0) => (funny(X0... | 0 |
Everyone who is happy or not kind is old. Everyone who is both not brave and kind is not tall. Everyone who is both not strong and not creative is both wise and not curious. Everyone who is either not rich or calm is either not wise or wise and vice versa. Everyone who is strong is not quiet or not patient and vice ver... | Paul is not rich. | contradiction | (![X]:((happy(X)|~kind(X))=>old(X)))&
(![X]:((~brave(X)&kind(X))=>~tall(X)))&
(![X]:((~strong(X)&~creative(X))=>(wise(X)&~curious(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~wise(X)<~>wise(X))))&
(![X]:(strong(X)<=>(~quiet(X)|~patient(X))))&
((?[X]:((old(X)&~brave(X))))<=>(?[X]:((~happy(X)<~>~brave(X)))))&
((?[X]:(~rich(X))... | ~rich(paul) | [
"p3",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5891053107535417636646887
% SZS output start Proof for 5891053107535417636646887
4. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> (~wise(X0) <~> wise(X0))) [input p3]
5. ! [X0] : (strong(X0) <=> (~patient(X0) | ~quiet(X0))) [input p4]
8. ! [X0] : ((patient(X0) | ~brave(X0)) <=> rich(X0)) [input ... | 0 |
If someone is wise or humble then alice is patient and vice versa.
If susan is either rich or humble then mary is old.
Everyone who is either happy or quiet is either not generous or happy and vice versa.
Everyone who is both funny and patient is both wise and not calm and vice versa.
If someone is both funny and tall ... | Fred is funny. | neutral | ((?[X]:((wise(X)|humble(X))))<=>(patient(alice)))&
(((rich(susan)<~>humble(susan)))=>(old(mary)))&
(![X]:((happy(X)<~>quiet(X))<=>(~generous(X)<~>happy(X))))&
(![X]:((funny(X)&patient(X))<=>(wise(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))<=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((patient(fred)&~patient(fred)))=>(?[X]:... | funny(fred) | [] | null | 0 |
If paul is quiet or not strong then someone is not old or calm.
Everyone who is either strong or not old is funny or not wise and vice versa.
Everyone who is not strong is either brave or not curious.
If someone is both not wise and kind then someone is not creative and vice versa.
Everyone who is both happy and quiet ... | Alice is quiet. | neutral | (((quiet(paul)|~strong(paul)))=>(?[X]:((~old(X)|calm(X)))))&
(![X]:((strong(X)<~>~old(X))<=>(funny(X)|~wise(X))))&
(![X]:(~strong(X)=>(brave(X)<~>~curious(X))))&
((?[X]:((~wise(X)&kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((happy(X)&quiet(X))=>(curious(X)<~>~patient(X))))&
(![X]:((old(X)&tall(X))=>(~rich(X)|~wise(X)))... | quiet(alice) | [] | null | 0 |
Everyone who is kind is not generous and vice versa. If someone is both wise and generous then mary is both humble and not calm and vice versa. If someone is either patient or tall then mary is creative or happy and vice versa. Everyone who is either not creative or not humble is both humble and not curious and vice ve... | Susan is kind. | contradiction | (![X]:(kind(X)<=>~generous(X)))&
((?[X]:((wise(X)&generous(X))))<=>((humble(mary)&~calm(mary))))&
((?[X]:((patient(X)<~>tall(X))))<=>((creative(mary)|happy(mary))))&
(![X]:((~creative(X)<~>~humble(X))<=>(humble(X)&~curious(X))))&
((?[X]:(~curious(X)))=>((~curious(paul)&brave(paul))))&
(![X]:(curious(X)=>(~rich(X)&gener... | kind(susan) | [
"p0",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5596361660772868043304882
% SZS output start Proof for 5596361660772868043304882
1. ! [X0] : (kind(X0) <=> ~generous(X0)) [input p0]
5. ? [X0] : ~curious(X0) => (brave(paul) & ~curious(paul)) [input p4]
6. ! [X0] : (curious(X0) => (generous(X0) & ~rich(X0))) [input p5]
8. ! [X0] : ((~quie... | 0 |
Everyone who is either not quiet or funny is quiet and vice versa. Everyone who is strong is either wise or quiet and vice versa. Everyone who is either rich or not humble is both not old and generous and vice versa. Everyone who is curious or creative is either not generous or funny. If mary is not generous or funny t... | John is curious. | contradiction | (![X]:((~quiet(X)<~>funny(X))<=>quiet(X)))&
(![X]:(strong(X)<=>(wise(X)<~>quiet(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(~old(X)&generous(X))))&
(![X]:((curious(X)|creative(X))=>(~generous(X)<~>funny(X))))&
(((~generous(mary)|funny(mary)))=>(?[X]:((rich(X)<~>old(X)))))&
(((curious(paul)|~brave(paul)))=>(?[X]:((strong(X)... | curious(john) | [
"p0",
"p3",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 649966198830096986540481
% SZS output start Proof for 649966198830096986540481
1. ! [X0] : ((~quiet(X0) <~> funny(X0)) <=> quiet(X0)) [input p0]
4. ! [X0] : ((creative(X0) | curious(X0)) => (~generous(X0) <~> funny(X0))) [input p3]
10. ! [X0] : ((brave(X0) | ~calm(X0)) => (curious(X0) <~>... | 0 |
If someone is either not kind or not strong then someone is curious or happy.
If fred is either not curious or tall then someone is both funny and not humble and vice versa.
Everyone who is humble is generous.
Everyone who is either quiet or not patient is calm or not creative and vice versa.
If paul is not happy then ... | Mary is not old. | neutral | ((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:((curious(X)|happy(X)))))&
(((~curious(fred)<~>tall(fred)))<=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:(humble(X)=>generous(X)))&
(![X]:((quiet(X)<~>~patient(X))<=>(calm(X)|~creative(X))))&
((~happy(paul))<=>((kind(fred)<~>~creative(fred))))&
(![X]:((funny(X)|~wise(X))=>(~curious(... | ~old(mary) | [] | null | 0 |
If mary is kind then someone is both quiet and not patient.
Everyone who is either kind or creative is either not quiet or not rich and vice versa.
If someone is either not strong or rich then john is quiet or tall and vice versa.
If susan is not kind or tall then lucy is both not brave and not tall and vice versa.
If ... | Susan is not wise. | entailment | ((kind(mary))=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((kind(X)<~>creative(X))<=>(~quiet(X)<~>~rich(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((quiet(john)|tall(john))))&
(((~kind(susan)|tall(susan)))<=>((~brave(lucy)&~tall(lucy))))&
((?[X]:((~kind(X)&old(X))))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((strong(X)&~... | ~wise(susan) | [
"p3",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5313369884139635530534732
% SZS output start Proof for 5313369884139635530534732
4. (tall(susan) | ~kind(susan)) <=> (~tall(lucy) & ~brave(lucy)) [input p3]
10. ! [X0] : (wise(X0) => (tall(X0) & ~creative(X0))) [input p9]
14. ? [X0] : wise(X0) <=> (~generous(lucy) & wise(lucy)) [input p13... | 0 |
Everyone who is funny or not rich is not quiet or not old.
Everyone who is not creative or patient is either wise or not wise.
Everyone who is not tall or rich is not calm.
If someone is not tall or humble then paul is both not happy and not generous.
If fred is either patient or old then someone is quiet or not patien... | John is funny. | contradiction | (![X]:((funny(X)|~rich(X))=>(~quiet(X)|~old(X))))&
(![X]:((~creative(X)|patient(X))=>(wise(X)<~>~wise(X))))&
(![X]:((~tall(X)|rich(X))=>~calm(X)))&
((?[X]:((~tall(X)|humble(X))))=>((~happy(paul)&~generous(paul))))&
(((patient(fred)<~>old(fred)))<=>(?[X]:((quiet(X)|~patient(X)))))&
(![X]:(~quiet(X)<=>(wise(X)<~>~humble(... | funny(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3981177639754575784349881
% SZS output start Proof for 3981177639754575784349881
21. ~rich(john) & ~funny(john) [input p20]
25. funny(john) [input hypothesis]
147. ~funny(john) [cnf transformation 21]
154. funny(john) [cnf transformation 25]
370. $false [subsumption resolution 154,147]
% ... | 0 |
If someone is kind or not old then someone is both not generous and happy.
Everyone who is not brave or creative is both not rich and not wise and vice versa.
If someone is either not patient or calm then someone is both happy and not calm.
Everyone who is kind or not happy is both wise and not old and vice versa.
If s... | Mary is not humble. | entailment | ((?[X]:((kind(X)|~old(X))))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:((~brave(X)|creative(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((kind(X)|~happy(X))<=>(wise(X)&~old(X))))&
((?[X]:(~kind(X)))<=>((patient(alice)|~brave(alice))))&
(![X]:((~creative(X)|old(X))... | ~humble(mary) | [
"p1",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 318642010229289138829932
% SZS output start Proof for 318642010229289138829932
2. ! [X0] : ((creative(X0) | ~brave(X0)) <=> (~wise(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | kind(X0)) <=> (~old(X0) & wise(X0))) [input p3]
15. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> (happy(X0) ... | 0 |
If someone is either generous or not brave then susan is rich or not old and vice versa.
Everyone who is both happy and not rich is generous.
If lucy is either patient or strong then lucy is not funny.
Everyone who is rich or calm is both not humble and generous.
If alice is not humble then someone is not patient and v... | Alice is not generous. | contradiction | ((?[X]:((generous(X)<~>~brave(X))))<=>((rich(susan)|~old(susan))))&
(![X]:((happy(X)&~rich(X))=>generous(X)))&
(((patient(lucy)<~>strong(lucy)))=>(~funny(lucy)))&
(![X]:((rich(X)|calm(X))=>(~humble(X)&generous(X))))&
((~humble(alice))<=>(?[X]:(~patient(X))))&
(![X]:((~tall(X)&calm(X))<=>(~patient(X)<~>patient(X))))&
(!... | ~generous(alice) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8612077955947731466655342
% SZS output start Proof for 8612077955947731466655342
4. ! [X0] : ((calm(X0) | rich(X0)) => (generous(X0) & ~humble(X0))) [input p3]
6. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~patient(X0) <~> patient(X0))) [input p5]
24. ~generous(alice) [input hypothesis]
29. ! ... | 0 |
Everyone who is not rich or wise is not wise or not quiet and vice versa.
Everyone who is quiet or calm is not rich or not wise and vice versa.
If someone is both not patient and not kind then paul is both creative and humble and vice versa.
If someone is creative or old then someone is kind and vice versa.
Everyone wh... | Lucy is kind. | neutral | (![X]:((~rich(X)|wise(X))<=>(~wise(X)|~quiet(X))))&
(![X]:((quiet(X)|calm(X))<=>(~rich(X)|~wise(X))))&
((?[X]:((~patient(X)&~kind(X))))<=>((creative(paul)&humble(paul))))&
((?[X]:((creative(X)|old(X))))<=>(?[X]:(kind(X))))&
(![X]:((generous(X)<~>~generous(X))=>(~kind(X)|~rich(X))))&
((?[X]:((rich(X)<~>strong(X))))<=>((... | kind(lucy) | [] | null | 0 |
Everyone who is either happy or not creative is not calm or not old.
Everyone who is both not happy and generous is not happy and vice versa.
Everyone who is both not brave and not patient is not wise and vice versa.
If susan is generous or not curious then someone is not wise or not calm.
Everyone who is both not crea... | Lucy is patient. | contradiction | (![X]:((happy(X)<~>~creative(X))=>(~calm(X)|~old(X))))&
(![X]:((~happy(X)&generous(X))<=>~happy(X)))&
(![X]:((~brave(X)&~patient(X))<=>~wise(X)))&
(((generous(susan)|~curious(susan)))=>(?[X]:((~wise(X)|~calm(X)))))&
(![X]:((~creative(X)&~wise(X))<=>(happy(X)&wise(X))))&
(![X]:((~calm(X)&generous(X))=>humble(X)))&
((?[X... | patient(lucy) | [
"p2",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1088703653482957133298136
% SZS output start Proof for 1088703653482957133298136
3. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> ~wise(X0)) [input p2]
14. ? [X0] : (~tall(X0) | ~generous(X0)) <=> (~wise(lucy) & ~funny(lucy)) [input p13]
17. ? [X0] : ~tall(X0) [input p16]
25. patient(lucy) [i... | 0 |
Everyone who is old is not wise.
Everyone who is not patient is either not strong or not generous.
If lucy is both not kind and not curious then lucy is both humble and not strong and vice versa.
Everyone who is wise or strong is both not funny and wise and vice versa.
If someone is tall or not happy then someone is ol... | Alice is calm. | entailment | (![X]:(old(X)=>~wise(X)))&
(![X]:(~patient(X)=>(~strong(X)<~>~generous(X))))&
(((~kind(lucy)&~curious(lucy)))<=>((humble(lucy)&~strong(lucy))))&
(![X]:((wise(X)|strong(X))<=>(~funny(X)&wise(X))))&
((?[X]:((tall(X)|~happy(X))))=>(?[X]:(old(X))))&
((tall(susan))<=>((calm(john)&old(john))))&
((brave(john))=>((~creative(su... | calm(alice) | [
"p0",
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1813987442170716051209992
% SZS output start Proof for 1813987442170716051209992
1. ! [X0] : (old(X0) => ~wise(X0)) [input p0]
5. ? [X0] : (~happy(X0) | tall(X0)) => ? [X0] : old(X0) [input p4]
15. ! [X0] : ((~kind(X0) | old(X0)) <=> (wise(X0) & ~funny(X0))) [input p14]
20. calm(alice) <~... | 0 |
If lucy is either creative or tall then someone is kind and vice versa. Everyone who is either creative or wise is rich or happy. Everyone who is either curious or tall is both humble and not curious. If someone is old or not brave then someone is either curious or funny and vice versa. If susan is quiet or not happy t... | Lucy is funny. | contradiction | (((creative(lucy)<~>tall(lucy)))<=>(?[X]:(kind(X))))&
(![X]:((creative(X)<~>wise(X))=>(rich(X)|happy(X))))&
(![X]:((curious(X)<~>tall(X))=>(humble(X)&~curious(X))))&
((?[X]:((old(X)|~brave(X))))<=>(?[X]:((curious(X)<~>funny(X)))))&
(((quiet(susan)|~happy(susan)))<=>(?[X]:(~kind(X))))&
(((calm(lucy)|~old(lucy)))=>(?[X]:... | funny(lucy) | [
"p0",
"p2",
"p8",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 432356876329734156522448
% SZS output start Proof for 432356876329734156522448
1. (creative(lucy) <~> tall(lucy)) <=> ? [X0] : kind(X0) [input p0]
3. ! [X0] : ((curious(X0) <~> tall(X0)) => (~curious(X0) & humble(X0))) [input p2]
9. ! [X0] : (~creative(X0) <=> (wise(X0) & patient(X0))) [i... | 0 |
If someone is either calm or not curious then lucy is either creative or not tall.
Everyone who is either strong or brave is creative.
If someone is tall then fred is not quiet or not generous.
Everyone who is not kind is either not brave or not humble.
If paul is both not humble and not funny then lucy is not creative... | Paul is not tall. | neutral | ((?[X]:((calm(X)<~>~curious(X))))=>((creative(lucy)<~>~tall(lucy))))&
(![X]:((strong(X)<~>brave(X))=>creative(X)))&
((?[X]:(tall(X)))=>((~quiet(fred)|~generous(fred))))&
(![X]:(~kind(X)=>(~brave(X)<~>~humble(X))))&
(((~humble(paul)&~funny(paul)))<=>(~creative(lucy)))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)<~>creative... | ~tall(paul) | [] | null | 0 |
Everyone who is kind or not kind is either curious or not happy. If susan is both not quiet and not wise then someone is quiet or not wise. If paul is not quiet then someone is brave and vice versa. Everyone who is not tall or not old is either not generous or humble and vice versa. Everyone who is both not quiet and t... | Mary is curious. | entailment | (![X]:((kind(X)|~kind(X))=>(curious(X)<~>~happy(X))))&
(((~quiet(susan)&~wise(susan)))=>(?[X]:((quiet(X)|~wise(X)))))&
((~quiet(paul))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(X)<~>humble(X))))&
(![X]:((~quiet(X)&tall(X))<=>(calm(X)|~happy(X))))&
((~curious(paul))=>((generous(mary)&~strong(mary))))&... | curious(mary) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1335442259334376081502689
% SZS output start Proof for 1335442259334376081502689
1. ! [X0] : ((~kind(X0) | kind(X0)) => (curious(X0) <~> ~happy(X0))) [input p0]
4. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~generous(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (~ha... | 0 |
Everyone who is not strong is either patient or not wise and vice versa. Everyone who is patient or tall is rich. If susan is old then alice is tall or not humble and vice versa. If someone is either strong or not happy then someone is both not strong and not old. Everyone who is tall is not humble and vice versa. If j... | John is rich. | entailment | (![X]:(~strong(X)<=>(patient(X)<~>~wise(X))))&
(![X]:((patient(X)|tall(X))=>rich(X)))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:(tall(X)<=>~humble(X)))&
(((patient(john)<~>~tall(john)))=>(?[X]:((kind(X)&strong(X)))))&
(![X]:((~brave(X)<~>g... | rich(john) | [
"p1",
"p4",
"p8",
"p9",
"p12",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8149518731362756930540035
% SZS output start Proof for 8149518731362756930540035
2. ! [X0] : ((tall(X0) | patient(X0)) => rich(X0)) [input p1]
5. ! [X0] : (tall(X0) <=> ~humble(X0)) [input p4]
9. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p8]
10. (calm(john) & happy(john)) <... | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is patient and vice versa. If someone is either not strong or not calm then someone is humble or not patient and vice versa. Everyone who is both not funny and not wise is either funny or not patient. ... | Susan is generous. | neutral | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(patient(susan)))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((humble(X)|~patient(X)))))&
(![X]:((~funny(X)&~wise(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X... | generous(susan) | [] | null | 0 |
If someone is both not curious and creative then someone is either not calm or creative. If someone is not humble then someone is either not funny or not humble. If john is either curious or not creative then someone is either not generous or brave and vice versa. If someone is either brave or not quiet then fred is ei... | Fred is not rich. | contradiction | ((?[X]:((~curious(X)&creative(X))))=>(?[X]:((~calm(X)<~>creative(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((~funny(X)<~>~humble(X)))))&
(((curious(john)<~>~creative(john)))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((brave(X)<~>~quiet(X))))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~wise(X)&generous(X))=>(rich(X)<~>~... | ~rich(fred) | [
"p4",
"p5",
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2778550964599838467555479
% SZS output start Proof for 2778550964599838467555479
5. ! [X0] : ((generous(X0) & ~wise(X0)) => (rich(X0) <~> ~curious(X0))) [input p4]
6. ? [X0] : (~calm(X0) | calm(X0)) <=> (~generous(lucy) & creative(lucy)) [input p5]
7. ? [X0] : (~curious(X0) | ~generous(X0... | 0 |
If someone is both not strong and curious then someone is either old or creative and vice versa.
Everyone who is happy is not humble or curious.
If someone is both not creative and not strong then paul is wise and vice versa.
If someone is either not tall or old then someone is either not happy or old and vice versa.
E... | Paul is not tall. | contradiction | ((?[X]:((~strong(X)&curious(X))))<=>(?[X]:((old(X)<~>creative(X)))))&
(![X]:(happy(X)=>(~humble(X)|curious(X))))&
((?[X]:((~creative(X)&~strong(X))))<=>(wise(paul)))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((brave(X)<~>calm(X))<=>(rich(X)|generous(X))))&
(((generous(alice)<~>~generous(ali... | ~tall(paul) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2639000002904107364783574
% SZS output start Proof for 2639000002904107364783574
7. ! [X0] : ((wise(X0) | ~tall(X0)) <=> (quiet(X0) & ~rich(X0))) [input p6]
15. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> ~rich(X0)) [input p14]
24. ~tall(paul) [input hypothesis]
57. ! [X0] : (((wise(X0) | ~tal... | 0 |
Everyone who is not calm is both not curious and creative.
Everyone who is not calm is not tall or humble and vice versa.
Everyone who is not creative or funny is either wise or generous and vice versa.
If someone is both not rich and humble then someone is curious and vice versa.
If john is not curious or not funny th... | Lucy is funny. | entailment | (![X]:(~calm(X)=>(~curious(X)&creative(X))))&
(![X]:(~calm(X)<=>(~tall(X)|humble(X))))&
(![X]:((~creative(X)|funny(X))<=>(wise(X)<~>generous(X))))&
((?[X]:((~rich(X)&humble(X))))<=>(?[X]:(curious(X))))&
(((~curious(john)|~funny(john)))<=>((~patient(alice)&brave(alice))))&
(![X]:((~patient(X)<~>~generous(X))<=>(funny(X)... | funny(lucy) | [
"p2",
"p9",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6768085272097821514104967
% SZS output start Proof for 6768085272097821514104967
3. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (wise(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((creative(X0) <~> funny(X0)) => ~happy(X0)) [input p9]
12. ! [X0] : ((~generous(X0) <~> wise(X0)) <=> (humble... | 0 |
If someone is either calm or curious then someone is either generous or not tall and vice versa.
Everyone who is not quiet is generous or creative and vice versa.
If someone is not curious then someone is both rich and not rich.
Everyone who is either creative or not patient is either not calm or old.
Everyone who is e... | John is curious. | entailment | ((?[X]:((calm(X)<~>curious(X))))<=>(?[X]:((generous(X)<~>~tall(X)))))&
(![X]:(~quiet(X)<=>(generous(X)|creative(X))))&
((?[X]:(~curious(X)))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:((creative(X)<~>~patient(X))=>(~calm(X)<~>old(X))))&
(![X]:((strong(X)<~>~funny(X))=>(quiet(X)&happy(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(p... | curious(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6925687697860577112972748
% SZS output start Proof for 6925687697860577112972748
3. ? [X0] : ~curious(X0) => ? [X0] : (~rich(X0) & rich(X0)) [input p2]
24. ~curious(john) [input hypothesis]
26. ? [X0] : ~curious(X0) => ? [X1] : (~rich(X1) & rich(X1)) [rectify 3]
29. ? [X1] : (~rich(X1) & ... | 0 |
Everyone who is both strong and not happy is not calm or strong and vice versa.
If paul is curious then paul is both calm and generous and vice versa.
If someone is not humble or old then john is both not kind and not patient and vice versa.
Everyone who is either not creative or calm is not calm and vice versa.
Everyo... | John is strong. | neutral | (![X]:((strong(X)&~happy(X))<=>(~calm(X)|strong(X))))&
((curious(paul))<=>((calm(paul)&generous(paul))))&
((?[X]:((~humble(X)|old(X))))<=>((~kind(john)&~patient(john))))&
(![X]:((~creative(X)<~>calm(X))<=>~calm(X)))&
(![X]:((old(X)<~>~kind(X))<=>(calm(X)|creative(X))))&
((generous(john))=>(?[X]:(calm(X))))&
(((calm(ali... | strong(john) | [] | null | 0 |
If fred is not humble then someone is either not strong or not creative.
Everyone who is not strong is wise.
Everyone who is either not wise or not kind is both quiet and not wise.
Everyone who is either brave or not wise is not humble or old and vice versa.
If someone is wise or not strong then alice is both humble an... | Paul is wise. | entailment | ((~humble(fred))=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:(~strong(X)=>wise(X)))&
(![X]:((~wise(X)<~>~kind(X))=>(quiet(X)&~wise(X))))&
(![X]:((brave(X)<~>~wise(X))<=>(~humble(X)|old(X))))&
((?[X]:((wise(X)|~strong(X))))<=>((humble(alice)&calm(alice))))&
(![X]:((happy(X)<~>~happy(X))<=>(curious(X)&patient(X))))&
((... | wise(paul) | [
"p5",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2602143314420787809925557
% SZS output start Proof for 2602143314420787809925557
6. ! [X0] : ((happy(X0) <~> ~happy(X0)) <=> (patient(X0) & curious(X0))) [input p5]
8. ! [X0] : ((wise(X0) <~> humble(X0)) => (strong(X0) & wise(X0))) [input p7]
16. (~patient(lucy) & ~strong(lucy)) <=> ~humb... | 0 |
Everyone who is both not funny and rich is either not humble or kind and vice versa.
Everyone who is not creative is not strong and vice versa.
Everyone who is old or not generous is both strong and not happy.
Everyone who is both not quiet and wise is happy and vice versa.
Everyone who is both patient and not creative... | Lucy is funny. | contradiction | (![X]:((~funny(X)&rich(X))<=>(~humble(X)<~>kind(X))))&
(![X]:(~creative(X)<=>~strong(X)))&
(![X]:((old(X)|~generous(X))=>(strong(X)&~happy(X))))&
(![X]:((~quiet(X)&wise(X))<=>happy(X)))&
(![X]:((patient(X)&~creative(X))<=>(~generous(X)|kind(X))))&
(![X]:((~funny(X)|brave(X))<=>(~humble(X)|~patient(X))))&
(![X]:((patien... | funny(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8576427510890217346393714
% SZS output start Proof for 8576427510890217346393714
1. ! [X0] : ((rich(X0) & ~funny(X0)) <=> (~humble(X0) <~> kind(X0))) [input p0]
2. ! [X0] : (~creative(X0) <=> ~strong(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | old(X0)) => (~happy(X0) & strong(X0))) [inp... | 0 |
Everyone who is not generous or wise is generous and vice versa.
If someone is both rich and tall then paul is both happy and generous and vice versa.
Everyone who is not humble or not tall is both generous and patient.
Everyone who is humble or not calm is not curious or kind and vice versa.
If someone is not kind the... | John is brave. | entailment | (![X]:((~generous(X)|wise(X))<=>generous(X)))&
((?[X]:((rich(X)&tall(X))))<=>((happy(paul)&generous(paul))))&
(![X]:((~humble(X)|~tall(X))=>(generous(X)&patient(X))))&
(![X]:((humble(X)|~calm(X))<=>(~curious(X)|kind(X))))&
((?[X]:(~kind(X)))=>((~kind(paul)&generous(paul))))&
(((~happy(fred)|kind(fred)))=>(?[X]:((~stron... | brave(john) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p13",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 513498288339837400159566
% SZS output start Proof for 513498288339837400159566
3. ! [X0] : ((~tall(X0) | ~humble(X0)) => (patient(X0) & generous(X0))) [input p2]
4. ! [X0] : ((~calm(X0) | humble(X0)) <=> (kind(X0) | ~curious(X0))) [input p3]
7. ! [X0] : (kind(X0) <=> (~humble(X0) & ~happy... | 0 |
If someone is both not patient and not curious then alice is both wise and not curious.
Everyone who is both tall and funny is either not humble or not curious.
If fred is not calm or brave then someone is both old and humble.
If lucy is either wise or tall then someone is either kind or not creative.
Everyone who is n... | Mary is brave. | contradiction | ((?[X]:((~patient(X)&~curious(X))))=>((wise(alice)&~curious(alice))))&
(![X]:((tall(X)&funny(X))=>(~humble(X)<~>~curious(X))))&
(((~calm(fred)|brave(fred)))=>(?[X]:((old(X)&humble(X)))))&
(((wise(lucy)<~>tall(lucy)))=>(?[X]:((kind(X)<~>~creative(X)))))&
(![X]:(~funny(X)<=>(quiet(X)|~rich(X))))&
(((humble(mary)|brave(ma... | brave(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 46686851215325820752104
% SZS output start Proof for 46686851215325820752104
6. (brave(mary) | humble(mary)) => ~brave(mary) [input p5]
25. brave(mary) [input hypothesis]
33. ~brave(mary) | (~brave(mary) & ~humble(mary)) [ennf transformation 6]
91. ~brave(mary) | ~brave(mary) [cnf transfo... | 0 |
If john is both generous and rich then john is either not curious or not old.
If alice is not humble or not strong then alice is either not brave or not strong and vice versa.
Everyone who is both not happy and happy is either humble or strong and vice versa.
Everyone who is happy is not quiet or wise and vice versa.
I... | John is quiet. | entailment | (((generous(john)&rich(john)))=>((~curious(john)<~>~old(john))))&
(((~humble(alice)|~strong(alice)))<=>((~brave(alice)<~>~strong(alice))))&
(![X]:((~happy(X)&happy(X))<=>(humble(X)<~>strong(X))))&
(![X]:(happy(X)<=>(~quiet(X)|wise(X))))&
((?[X]:((~generous(X)|quiet(X))))<=>((~patient(susan)<~>~happy(susan))))&
(((~humb... | quiet(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1729055048178294873580468
% SZS output start Proof for 1729055048178294873580468
14. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~quiet(X0)) [input p13]
23. ~quiet(john) [input hypothesis]
66. ! [X0] : (((curious(X0) & quiet(X0)) | quiet(X0)) & (~quiet(X0) | (~curious(X0) | ~quiet(X0)))) [nnf... | 0 |
If someone is generous then susan is not creative or curious.
If someone is not quiet then fred is either not wise or not generous and vice versa.
If someone is both not brave and brave then someone is calm.
If alice is humble or curious then john is either not kind or not calm and vice versa.
Everyone who is happy is ... | Lucy is kind. | neutral | ((?[X]:(generous(X)))=>((~creative(susan)|curious(susan))))&
((?[X]:(~quiet(X)))<=>((~wise(fred)<~>~generous(fred))))&
((?[X]:((~brave(X)&brave(X))))=>(?[X]:(calm(X))))&
(((humble(alice)|curious(alice)))<=>((~kind(john)<~>~calm(john))))&
(![X]:(happy(X)=>humble(X)))&
((?[X]:(~creative(X)))=>(tall(susan)))&
((~kind(susa... | kind(lucy) | [] | null | 0 |
Everyone who is not wise is rich or not happy and vice versa.
Everyone who is either not patient or wise is brave or rich.
Everyone who is humble is not wise or old and vice versa.
If someone is either creative or not happy then susan is either not rich or not patient and vice versa.
If someone is both not tall and not... | Lucy is calm. | neutral | (![X]:(~wise(X)<=>(rich(X)|~happy(X))))&
(![X]:((~patient(X)<~>wise(X))=>(brave(X)|rich(X))))&
(![X]:(humble(X)<=>(~wise(X)|old(X))))&
((?[X]:((creative(X)<~>~happy(X))))<=>((~rich(susan)<~>~patient(susan))))&
((?[X]:((~tall(X)&~humble(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
(![X]:((kind(X)&~funny(X))<=>rich(X)))&
((?... | calm(lucy) | [] | null | 0 |
Everyone who is not creative or not rich is either not brave or kind. Everyone who is both wise and not old is not wise. Everyone who is not generous or rich is either not strong or not old. If someone is either not creative or not quiet then someone is either kind or not wise. Everyone who is either wise or not funny ... | Mary is not funny. | contradiction | (![X]:((~creative(X)|~rich(X))=>(~brave(X)<~>kind(X))))&
(![X]:((wise(X)&~old(X))=>~wise(X)))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)<~>~old(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((kind(X)<~>~wise(X)))))&
(![X]:((wise(X)<~>~funny(X))=>(creative(X)<~>funny(X))))&
(![X]:(quiet(X)=>(~patient(X)|~rich(X)))... | ~funny(mary) | [
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5036774976985848443180939
% SZS output start Proof for 5036774976985848443180939
8. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~old(X0)) [input p7]
12. ! [X0] : ((generous(X0) | rich(X0)) <=> (~old(X0) & ~happy(X0))) [input p11]
13. ! [X0] : ((creative(X0) | ~rich(X0)) => (funny(X0) & ~happy(... | 0 |
Everyone who is not strong or not quiet is brave.
If someone is either not kind or rich then alice is brave or not humble and vice versa.
If someone is both not brave and not humble then someone is both not creative and not rich.
If paul is either not happy or patient then john is both not rich and funny and vice versa... | Alice is humble. | neutral | (![X]:((~strong(X)|~quiet(X))=>brave(X)))&
((?[X]:((~kind(X)<~>rich(X))))<=>((brave(alice)|~humble(alice))))&
((?[X]:((~brave(X)&~humble(X))))=>(?[X]:((~creative(X)&~rich(X)))))&
(((~happy(paul)<~>patient(paul)))<=>((~rich(john)&funny(john))))&
(((~funny(fred)|old(fred)))<=>((brave(susan)&kind(susan))))&
((?[X]:((~wise... | humble(alice) | [] | null | 0 |
Everyone who is not tall is both not funny and calm.
If someone is calm then alice is both generous and strong and vice versa.
Everyone who is tall is not curious and vice versa.
Everyone who is either calm or not rich is either happy or not old and vice versa.
Everyone who is both not calm and not rich is both humble ... | Alice is humble. | contradiction | (![X]:(~tall(X)=>(~funny(X)&calm(X))))&
((?[X]:(calm(X)))<=>((generous(alice)&strong(alice))))&
(![X]:(tall(X)<=>~curious(X)))&
(![X]:((calm(X)<~>~rich(X))<=>(happy(X)<~>~old(X))))&
(![X]:((~calm(X)&~rich(X))<=>(humble(X)&~happy(X))))&
(![X]:((~strong(X)|~humble(X))<=>(humble(X)|brave(X))))&
(![X]:((funny(X)<~>~funny(X... | humble(alice) | [
"p0",
"p1",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7393630442934975566532768
% SZS output start Proof for 7393630442934975566532768
1. ! [X0] : (~tall(X0) => (calm(X0) & ~funny(X0))) [input p0]
2. ? [X0] : calm(X0) <=> (strong(alice) & generous(alice)) [input p1]
6. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (brave(X0) | humble(X0))) [inpu... | 0 |
If paul is calm then lucy is both brave and generous and vice versa.
Everyone who is not wise is not funny.
Everyone who is both kind and not happy is either not curious or not quiet and vice versa.
If someone is either funny or brave then someone is not wise or happy.
Everyone who is patient is both not calm and creat... | Lucy is generous. | entailment | ((calm(paul))<=>((brave(lucy)&generous(lucy))))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((kind(X)&~happy(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((funny(X)<~>brave(X))))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:(patient(X)<=>(~calm(X)&creative(X))))&
(![X]:((~calm(X)|creative(X))<=>(funny(X)&~quiet(X))))&
(![X]:((quiet(X)|... | generous(lucy) | [
"p0",
"p1",
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3225329843407387657775475
% SZS output start Proof for 3225329843407387657775475
1. calm(paul) <=> (generous(lucy) & brave(lucy)) [input p0]
2. ! [X0] : (~wise(X0) => ~funny(X0)) [input p1]
6. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (~quiet(X0) & funny(X0))) [input p5]
8. ! [X0] : ((brav... | 0 |
Everyone who is either not calm or creative is both not generous and funny.
Everyone who is rich is both not tall and not calm.
If someone is not strong or strong then someone is both happy and not tall and vice versa.
If someone is generous or not humble then john is both not creative and not quiet and vice versa.
If ... | Mary is funny. | entailment | (![X]:((~calm(X)<~>creative(X))=>(~generous(X)&funny(X))))&
(![X]:(rich(X)=>(~tall(X)&~calm(X))))&
((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))&
(((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy))))&
(![X]:((~patient... | funny(mary) | [
"p0",
"p1",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6569127695641597604405004
% SZS output start Proof for 6569127695641597604405004
1. ! [X0] : ((~calm(X0) <~> creative(X0)) => (funny(X0) & ~generous(X0))) [input p0]
2. ! [X0] : (rich(X0) => (~calm(X0) & ~tall(X0))) [input p1]
6. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (quiet(X0) | curiou... | 0 |
Everyone who is either strong or not rich is either brave or tall and vice versa. Everyone who is both not calm and not humble is kind and vice versa. If someone is not old or not curious then mary is not old or patient. If someone is not brave then susan is either not curious or not tall. Everyone who is both not curi... | Susan is not kind. | entailment | (![X]:((strong(X)<~>~rich(X))<=>(brave(X)<~>tall(X))))&
(![X]:((~calm(X)&~humble(X))<=>kind(X)))&
((?[X]:((~old(X)|~curious(X))))=>((~old(mary)|patient(mary))))&
((?[X]:(~brave(X)))=>((~curious(susan)<~>~tall(susan))))&
(![X]:((~curious(X)&funny(X))<=>~quiet(X)))&
(![X]:(~creative(X)<=>(kind(X)|~patient(X))))&
(![X]:((... | ~kind(susan) | [
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4151298738280217826321420
% SZS output start Proof for 4151298738280217826321420
2. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> kind(X0)) [input p1]
6. ! [X0] : (~creative(X0) <=> (~patient(X0) | kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & ~calm(X0)) => (~calm(X0) <~> ~creative(X0))) [inpu... | 0 |
If someone is either curious or kind then fred is tall.
Everyone who is strong is both not old and not wise and vice versa.
If someone is not rich then someone is quiet or not rich.
If someone is not generous or curious then lucy is not brave and vice versa.
Everyone who is brave is both not creative and not quiet and ... | Fred is funny. | entailment | ((?[X]:((curious(X)<~>kind(X))))=>(tall(fred)))&
(![X]:(strong(X)<=>(~old(X)&~wise(X))))&
((?[X]:(~rich(X)))=>(?[X]:((quiet(X)|~rich(X)))))&
((?[X]:((~generous(X)|curious(X))))<=>(~brave(lucy)))&
(![X]:(brave(X)<=>(~creative(X)&~quiet(X))))&
((wise(paul))<=>(happy(lucy)))&
(![X]:((~humble(X)&humble(X))<=>(~calm(X)|~qui... | funny(fred) | [
"p1",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6411623741870137867653124
% SZS output start Proof for 6411623741870137867653124
2. ! [X0] : (strong(X0) <=> (~wise(X0) & ~old(X0))) [input p1]
7. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (~quiet(X0) | ~calm(X0))) [input p6]
8. ! [X0] : ((funny(X0) <~> ~wise(X0)) <=> (~quiet(X0) & tall(X0... | 0 |
Everyone who is either wise or kind is not quiet and vice versa.
Everyone who is not old is either humble or not curious.
Everyone who is quiet or not happy is tall or happy.
If someone is either patient or kind then susan is brave or not curious and vice versa.
If susan is either curious or funny then someone is not p... | Mary is not quiet. | entailment | (![X]:((wise(X)<~>kind(X))<=>~quiet(X)))&
(![X]:(~old(X)=>(humble(X)<~>~curious(X))))&
(![X]:((quiet(X)|~happy(X))=>(tall(X)|happy(X))))&
((?[X]:((patient(X)<~>kind(X))))<=>((brave(susan)|~curious(susan))))&
(((curious(susan)<~>funny(susan)))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:(calm(X)=>(~humble(X)|humble(X))))&
(... | ~quiet(mary) | [
"p0",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 255300388619680188656939
% SZS output start Proof for 255300388619680188656939
1. ! [X0] : ((wise(X0) <~> kind(X0)) <=> ~quiet(X0)) [input p0]
10. ! [X0] : ((calm(X0) | ~wise(X0)) <=> (kind(X0) & wise(X0))) [input p9]
16. ! [X0] : (kind(X0) => (brave(X0) & ~quiet(X0))) [input p15]
25. qui... | 0 |
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