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 not calm or creative is both not tall and tall.
Everyone who is tall or funny is strong or funny.
Everyone who is either not generous or kind is not old and vice versa.
If mary is not calm then someone is generous or not old and vice versa.
If someone is either calm or not generous then someone is both ... | Mary is patient. | entailment | (![X]:((~calm(X)|creative(X))=>(~tall(X)&tall(X))))&
(![X]:((tall(X)|funny(X))=>(strong(X)|funny(X))))&
(![X]:((~generous(X)<~>kind(X))<=>~old(X)))&
((~calm(mary))<=>(?[X]:((generous(X)|~old(X)))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(?[X]:((~generous(X)&humble(X)))))&
(![X]:((calm(X)<~>~rich(X))<=>(~calm(X)|creative... | patient(mary) | [
"p0",
"p2",
"p3",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1568983065397484087805121
% SZS output start Proof for 1568983065397484087805121
1. ! [X0] : ((creative(X0) | ~calm(X0)) => (tall(X0) & ~tall(X0))) [input p0]
3. ! [X0] : ((~generous(X0) <~> kind(X0)) <=> ~old(X0)) [input p2]
4. ~calm(mary) <=> ? [X0] : (~old(X0) | generous(X0)) [input p3... | 0 |
Everyone who is not rich is both quiet and kind.
Everyone who is kind is either not creative or not patient.
If john is not tall then lucy is either not happy or strong and vice versa.
If mary is either kind or quiet then paul is both generous and quiet.
If paul is not happy then someone is not strong and vice versa.
E... | Lucy is not curious. | contradiction | (![X]:(~rich(X)=>(quiet(X)&kind(X))))&
(![X]:(kind(X)=>(~creative(X)<~>~patient(X))))&
((~tall(john))<=>((~happy(lucy)<~>strong(lucy))))&
(((kind(mary)<~>quiet(mary)))=>((generous(paul)&quiet(paul))))&
((~happy(paul))<=>(?[X]:(~strong(X))))&
(![X]:((~tall(X)<~>~kind(X))=>brave(X)))&
(![X]:((~strong(X)&humble(X))<=>humb... | ~curious(lucy) | [
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4293545924275451333497183
% SZS output start Proof for 4293545924275451333497183
7. ! [X0] : ((humble(X0) & ~strong(X0)) <=> humble(X0)) [input p6]
13. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (~strong(X0) & ~quiet(X0))) [input p12]
14. ? [X0] : (~wise(X0) | ~curious(X0)) <=> strong(fred)... | 0 |
If susan is both not wise and quiet then someone is both not humble and creative.
Everyone who is either not humble or not wise is quiet or kind and vice versa.
If fred is not funny or curious then john is both not curious and quiet.
Everyone who is calm is brave or happy and vice versa.
Everyone who is not happy or cr... | Fred is strong. | contradiction | (((~wise(susan)&quiet(susan)))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~humble(X)<~>~wise(X))<=>(quiet(X)|kind(X))))&
(((~funny(fred)|curious(fred)))=>((~curious(john)&quiet(john))))&
(![X]:(calm(X)<=>(brave(X)|happy(X))))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)|~wise(X))<=>... | strong(fred) | [
"p3",
"p5",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3300228841003837842849283
% SZS output start Proof for 3300228841003837842849283
4. ! [X0] : (calm(X0) <=> (happy(X0) | brave(X0))) [input p3]
6. ! [X0] : ((~wise(X0) | ~happy(X0)) <=> (~quiet(X0) <~> ~happy(X0))) [input p5]
12. ? [X0] : (~creative(X0) & humble(X0)) <=> ? [X0] : (happy(X0... | 0 |
Everyone who is both not old and creative is either not happy or not strong. Everyone who is happy is kind or not kind and vice versa. If lucy is either funny or generous then mary is both rich and not happy and vice versa. Everyone who is calm or quiet is not old. Everyone who is brave or not tall is not quiet and vic... | John is patient. | entailment | (![X]:((~old(X)&creative(X))=>(~happy(X)<~>~strong(X))))&
(![X]:(happy(X)<=>(kind(X)|~kind(X))))&
(((funny(lucy)<~>generous(lucy)))<=>((rich(mary)&~happy(mary))))&
(![X]:((calm(X)|quiet(X))=>~old(X)))&
(![X]:((brave(X)|~tall(X))<=>~quiet(X)))&
(![X]:((~brave(X)|~calm(X))=>(~calm(X)<~>~humble(X))))&
(![X]:(~generous(X)=... | patient(john) | [
"p1",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6509793684493708357694148
% SZS output start Proof for 6509793684493708357694148
2. ! [X0] : (happy(X0) <=> (~kind(X0) | kind(X0))) [input p1]
8. ! [X0] : ((patient(X0) & strong(X0)) <=> (brave(X0) | ~tall(X0))) [input p7]
10. ! [X0] : (~happy(X0) <=> ~brave(X0)) [input p9]
24. ~patient(j... | 0 |
If mary is strong or not curious then fred is both rich and happy.
Everyone who is not brave or not wise is calm and vice versa.
Everyone who is either not funny or generous is not tall or curious.
If someone is either not curious or wise then lucy is not quiet and vice versa.
Everyone who is both happy and not strong ... | Mary is not old. | neutral | (((strong(mary)|~curious(mary)))=>((rich(fred)&happy(fred))))&
(![X]:((~brave(X)|~wise(X))<=>calm(X)))&
(![X]:((~funny(X)<~>generous(X))=>(~tall(X)|curious(X))))&
((?[X]:((~curious(X)<~>wise(X))))<=>(~quiet(lucy)))&
(![X]:((happy(X)&~strong(X))=>(brave(X)&~kind(X))))&
(((generous(susan)<~>quiet(susan)))=>(?[X]:((old(X)... | ~old(mary) | [] | null | 0 |
If someone is both old and not kind then someone is old or curious. If someone is both humble and curious then someone is either not happy or tall. If someone is both not generous and not strong then someone is not creative or generous and vice versa. If mary is both creative and kind then paul is not curious. Everyone... | Alice is old. | entailment | ((?[X]:((old(X)&~kind(X))))=>(?[X]:((old(X)|curious(X)))))&
((?[X]:((humble(X)&curious(X))))=>(?[X]:((~happy(X)<~>tall(X)))))&
((?[X]:((~generous(X)&~strong(X))))<=>(?[X]:((~creative(X)|generous(X)))))&
(((creative(mary)&kind(mary)))=>(~curious(paul)))&
(![X]:((~quiet(X)&creative(X))=>(wise(X)&humble(X))))&
(![X]:((~hu... | old(alice) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5196417288251896916183542
% SZS output start Proof for 5196417288251896916183542
6. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (~old(X0) & ~happy(X0))) [input p5]
22. ~happy(alice) [input p21]
24. ~old(alice) [input hypothesis]
52. ! [X0] : (((humble(X0) & ~humble(X0)) | (old(X0) | happy(X0... | 0 |
Everyone who is wise is not tall or funny and vice versa.
If someone is not wise or brave then someone is not strong or rich.
If someone is either kind or wise then fred is not brave and vice versa.
If mary is both happy and not kind then someone is not patient or brave and vice versa.
If someone is either curious or c... | Fred is generous. | contradiction | (![X]:(wise(X)<=>(~tall(X)|funny(X))))&
((?[X]:((~wise(X)|brave(X))))=>(?[X]:((~strong(X)|rich(X)))))&
((?[X]:((kind(X)<~>wise(X))))<=>(~brave(fred)))&
(((happy(mary)&~kind(mary)))<=>(?[X]:((~patient(X)|brave(X)))))&
((?[X]:((curious(X)<~>calm(X))))=>((~curious(john)|rich(john))))&
(((strong(susan)<~>old(susan)))<=>(pa... | generous(fred) | [
"p0",
"p2",
"p9",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6356298921476889576280234
% SZS output start Proof for 6356298921476889576280234
1. ! [X0] : (wise(X0) <=> (funny(X0) | ~tall(X0))) [input p0]
3. ? [X0] : (kind(X0) <~> wise(X0)) <=> ~brave(fred) [input p2]
10. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> (~wise(X0) <~> ~generous(X0))) [input... | 0 |
Everyone who is both not happy and not patient is either brave or not funny.
If paul is not strong or rich then mary is not happy.
Everyone who is either not tall or strong is either not happy or not funny.
Everyone who is either old or happy is both generous and not wise.
Everyone who is not brave is not patient.
Ever... | Paul is tall. | neutral | (![X]:((~happy(X)&~patient(X))=>(brave(X)<~>~funny(X))))&
(((~strong(paul)|rich(paul)))=>(~happy(mary)))&
(![X]:((~tall(X)<~>strong(X))=>(~happy(X)<~>~funny(X))))&
(![X]:((old(X)<~>happy(X))=>(generous(X)&~wise(X))))&
(![X]:(~brave(X)=>~patient(X)))&
(![X]:(wise(X)<=>(~quiet(X)&tall(X))))&
((?[X]:((happy(X)|creative(X)... | tall(paul) | [] | null | 0 |
If susan is not quiet or not happy then someone is generous. Everyone who is generous is both not creative and patient and vice versa. If lucy is curious then susan is not funny and vice versa. If john is either happy or tall then susan is not curious. Everyone who is not brave or not generous is tall and vice versa. E... | Susan is funny. | neutral | (((~quiet(susan)|~happy(susan)))=>(?[X]:(generous(X))))&
(![X]:(generous(X)<=>(~creative(X)&patient(X))))&
((curious(lucy))<=>(~funny(susan)))&
(((happy(john)<~>tall(john)))=>(~curious(susan)))&
(![X]:((~brave(X)|~generous(X))<=>tall(X)))&
(![X]:(~happy(X)=>(tall(X)&rich(X))))&
((?[X]:((funny(X)&kind(X))))<=>(?[X]:(pat... | funny(susan) | [] | null | 0 |
If someone is either not patient or not curious then lucy is funny and vice versa.
If john is patient or not rich then someone is curious or kind.
Everyone who is either generous or old is either not happy or humble and vice versa.
Everyone who is happy or curious is either not creative or not curious and vice versa.
E... | Susan is not generous. | contradiction | ((?[X]:((~patient(X)<~>~curious(X))))<=>(funny(lucy)))&
(((patient(john)|~rich(john)))=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((generous(X)<~>old(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((happy(X)|curious(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:((brave(X)&~kind(X))<=>kind(X)))&
(![X]:(wise(X)=>quiet(X)))&
((?[X]:((b... | ~generous(susan) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 362349655368263272769675
% SZS output start Proof for 362349655368263272769675
5. ! [X0] : ((~kind(X0) & brave(X0)) <=> kind(X0)) [input p4]
14. ! [X0] : ((~kind(X0) & ~generous(X0)) => generous(X0)) [input p13]
24. ~generous(susan) [input hypothesis]
31. ! [X0] : (generous(X0) | (kind(X0... | 0 |
If paul is either not happy or not kind then someone is either not creative or not calm.
If alice is funny then someone is not curious or rich and vice versa.
Everyone who is both happy and not patient is both not rich and quiet and vice versa.
If someone is not curious then someone is either not wise or not curious.
E... | Lucy is rich. | contradiction | (((~happy(paul)<~>~kind(paul)))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((funny(alice))<=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:((happy(X)&~patient(X))<=>(~rich(X)&quiet(X))))&
((?[X]:(~curious(X)))=>(?[X]:((~wise(X)<~>~curious(X)))))&
(![X]:((brave(X)<~>strong(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~wise(X)&quiet(X))=... | rich(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3326478006598493365279832
% SZS output start Proof for 3326478006598493365279832
20. brave(lucy) & ~rich(lucy) [input p19]
24. rich(lucy) [input hypothesis]
128. ~rich(lucy) [cnf transformation 20]
134. rich(lucy) [cnf transformation 24]
296. $false [subsumption resolution 134,128]
% SZS ... | 0 |
If someone is both creative and not creative then someone is either brave or tall and vice versa.
Everyone who is either not humble or humble is both brave and not old.
Everyone who is wise is not creative.
If someone is not funny then someone is not tall and vice versa.
Everyone who is curious is both kind and patient... | Lucy is not funny. | contradiction | ((?[X]:((creative(X)&~creative(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((~humble(X)<~>humble(X))=>(brave(X)&~old(X))))&
(![X]:(wise(X)=>~creative(X)))&
((?[X]:(~funny(X)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(kind(X)&patient(X))))&
(![X]:(~kind(X)<=>rich(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((~cu... | ~funny(lucy) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4427080771187016057933197
% SZS output start Proof for 4427080771187016057933197
1. ? [X0] : (~creative(X0) & creative(X0)) <=> ? [X0] : (brave(X0) <~> tall(X0)) [input p0]
2. ! [X0] : ((~humble(X0) <~> humble(X0)) => (~old(X0) & brave(X0))) [input p1]
4. ? [X0] : ~funny(X0) <=> ? [X0] : ... | 0 |
Everyone who is not rich or not humble is tall and vice versa. If alice is both quiet and calm then someone is kind. If someone is both not funny and kind then john is both tall and not humble. Everyone who is both not generous and curious is either not tall or not funny and vice versa. Everyone who is brave is not cre... | Fred is brave. | entailment | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(((quiet(alice)&calm(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~funny(X)&kind(X))))=>((tall(john)&~humble(john))))&
(![X]:((~generous(X)&curious(X))<=>(~tall(X)<~>~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)|~tall(X))))&
((humble(fred))<=>((~patient(susan)&happy(susan))))&
(![X]:(... | brave(fred) | [
"p3",
"p4",
"p6",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6973198327879080568471457
% SZS output start Proof for 6973198327879080568471457
4. ! [X0] : ((curious(X0) & ~generous(X0)) <=> (~tall(X0) <~> ~funny(X0))) [input p3]
5. ! [X0] : (brave(X0) <=> (~tall(X0) | ~creative(X0))) [input p4]
7. ! [X0] : ((~wise(X0) | ~brave(X0)) => ~strong(X0)) [... | 0 |
If someone is both strong and wise then john is both not generous and patient.
If someone is either patient or not rich then paul is curious or not tall.
Everyone who is either brave or not creative is patient or old.
Everyone who is both generous and rich is either quiet or not calm and vice versa.
Everyone who is bot... | John is generous. | neutral | ((?[X]:((strong(X)&wise(X))))=>((~generous(john)&patient(john))))&
((?[X]:((patient(X)<~>~rich(X))))=>((curious(paul)|~tall(paul))))&
(![X]:((brave(X)<~>~creative(X))=>(patient(X)|old(X))))&
(![X]:((generous(X)&rich(X))<=>(quiet(X)<~>~calm(X))))&
(![X]:((~curious(X)&rich(X))=>(calm(X)<~>~brave(X))))&
(![X]:((funny(X)<~... | generous(john) | [] | null | 0 |
If mary is either not calm or not creative then someone is not happy and vice versa. Everyone who is old is both patient and not tall and vice versa. Everyone who is generous or not funny is not brave and vice versa. If susan is both creative and not creative then susan is both not old and not calm and vice versa. Ever... | Lucy is brave. | contradiction | (((~calm(mary)<~>~creative(mary)))<=>(?[X]:(~happy(X))))&
(![X]:(old(X)<=>(patient(X)&~tall(X))))&
(![X]:((generous(X)|~funny(X))<=>~brave(X)))&
(((creative(susan)&~creative(susan)))<=>((~old(susan)&~calm(susan))))&
(![X]:((curious(X)|~old(X))=>(curious(X)&old(X))))&
(![X]:((tall(X)&calm(X))=>(tall(X)<~>~quiet(X))))&
(... | brave(lucy) | [
"p1",
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5255262342922641368153703
% SZS output start Proof for 5255262342922641368153703
2. ! [X0] : (old(X0) <=> (~tall(X0) & patient(X0))) [input p1]
3. ! [X0] : ((~funny(X0) | generous(X0)) <=> ~brave(X0)) [input p2]
5. ! [X0] : ((~old(X0) | curious(X0)) => (old(X0) & curious(X0))) [input p4]
... | 0 |
Everyone who is either not curious or not generous is strong and vice versa. Everyone who is creative is funny or not curious. Everyone who is either strong or not strong is funny and vice versa. Everyone who is not generous or tall is strong. If someone is both rich and calm then someone is either funny or generous an... | John is calm. | neutral | (![X]:((~curious(X)<~>~generous(X))<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)|~curious(X))))&
(![X]:((strong(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~generous(X)|tall(X))=>strong(X)))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((old(X)<~>curious(X))))=>((wise(mary)<~>rich(mary))))&
(![X... | calm(john) | [] | null | 0 |
Everyone who is either humble or not tall is either not brave or humble.
If lucy is both not strong and old then lucy is either calm or tall and vice versa.
Everyone who is both not curious and not old is brave and vice versa.
If someone is patient or creative then someone is both not strong and old.
If paul is creativ... | Paul is kind. | contradiction | (![X]:((humble(X)<~>~tall(X))=>(~brave(X)<~>humble(X))))&
(((~strong(lucy)&old(lucy)))<=>((calm(lucy)<~>tall(lucy))))&
(![X]:((~curious(X)&~old(X))<=>brave(X)))&
((?[X]:((patient(X)|creative(X))))=>(?[X]:((~strong(X)&old(X)))))&
((creative(paul))=>((~calm(paul)<~>~humble(paul))))&
((?[X]:((~kind(X)<~>~calm(X))))=>((~fu... | kind(paul) | [
"p6",
"p7",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 177572743792021217166189
% SZS output start Proof for 177572743792021217166189
7. ! [X0] : ((patient(X0) <~> wise(X0)) => (~wise(X0) <~> strong(X0))) [input p6]
8. ! [X0] : (rich(X0) <=> (strong(X0) | ~patient(X0))) [input p7]
10. ? [X0] : (happy(X0) <~> ~kind(X0)) <=> (strong(lucy) & ~wi... | 0 |
If paul is either not funny or humble then alice is both not creative and strong.
Everyone who is not tall is both not quiet and creative.
If susan is not tall or brave then fred is brave or not creative.
If lucy is both not brave and creative then someone is either not brave or calm and vice versa.
If someone is rich ... | Lucy is not quiet. | contradiction | (((~funny(paul)<~>humble(paul)))=>((~creative(alice)&strong(alice))))&
(![X]:(~tall(X)=>(~quiet(X)&creative(X))))&
(((~tall(susan)|brave(susan)))=>((brave(fred)|~creative(fred))))&
(((~brave(lucy)&creative(lucy)))<=>(?[X]:((~brave(X)<~>calm(X)))))&
((?[X]:(rich(X)))<=>((~brave(lucy)<~>~kind(lucy))))&
((?[X]:((generous(... | ~quiet(lucy) | [
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8268128599306273477673142
% SZS output start Proof for 8268128599306273477673142
4. (creative(lucy) & ~brave(lucy)) <=> ? [X0] : (~brave(X0) <~> calm(X0)) [input p3]
8. ! [X0] : ((~old(X0) | quiet(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p7]
11. ! [X0] : ((strong(X0) | ~brave(X0)) <=... | 0 |
Everyone who is both not quiet and not humble is generous or not strong. Everyone who is either happy or not kind is both not funny and not wise and vice versa. Everyone who is curious or generous is both tall and not creative and vice versa. Everyone who is not tall or quiet is either not rich or generous. Everyone wh... | Alice is humble. | entailment | (![X]:((~quiet(X)&~humble(X))=>(generous(X)|~strong(X))))&
(![X]:((happy(X)<~>~kind(X))<=>(~funny(X)&~wise(X))))&
(![X]:((curious(X)|generous(X))<=>(tall(X)&~creative(X))))&
(![X]:((~tall(X)|quiet(X))=>(~rich(X)<~>generous(X))))&
(![X]:((creative(X)&brave(X))=>(~brave(X)<~>happy(X))))&
((~kind(mary))=>((~wise(john)<~>h... | humble(alice) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5729262050318665363404350
% SZS output start Proof for 5729262050318665363404350
9. ! [X0] : ((~brave(X0) | brave(X0)) => (humble(X0) | ~funny(X0))) [input p8]
20. funny(alice) [input p19]
25. ~humble(alice) [input hypothesis]
32. ! [X0] : ((humble(X0) | ~funny(X0)) | (brave(X0) & ~brave(... | 0 |
If alice is not quiet then someone is not strong or not funny and vice versa.
Everyone who is not brave or old is either patient or rich.
If someone is quiet then fred is either rich or tall.
If john is funny then someone is both old and not calm and vice versa.
If lucy is brave or calm then susan is creative and vice ... | Paul is not generous. | contradiction | ((~quiet(alice))<=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:((~brave(X)|old(X))=>(patient(X)<~>rich(X))))&
((?[X]:(quiet(X)))=>((rich(fred)<~>tall(fred))))&
((funny(john))<=>(?[X]:((old(X)&~calm(X)))))&
(((brave(lucy)|calm(lucy)))<=>(creative(susan)))&
(![X]:((strong(X)&calm(X))<=>(~generous(X)|~rich(X))))&
(![X]:((quie... | ~generous(paul) | [
"p1",
"p5",
"p6",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2999409285088705337808367
% SZS output start Proof for 2999409285088705337808367
2. ! [X0] : ((old(X0) | ~brave(X0)) => (patient(X0) <~> rich(X0))) [input p1]
6. ! [X0] : ((calm(X0) & strong(X0)) <=> (~rich(X0) | ~generous(X0))) [input p5]
7. ! [X0] : ((~old(X0) & quiet(X0)) <=> ~patient(... | 0 |
Everyone who is not happy or creative is either brave or not kind and vice versa. Everyone who is old or not creative is either curious or quiet. Everyone who is either not humble or not tall is both not curious and not brave and vice versa. Everyone who is either not curious or not strong is not rich or old. Everyone ... | Fred is not brave. | neutral | (![X]:((~happy(X)|creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((old(X)|~creative(X))=>(curious(X)<~>quiet(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(~curious(X)&~brave(X))))&
(![X]:((~curious(X)<~>~strong(X))=>(~rich(X)|old(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~humble(X)<~>brave(X))))&
(((generous(mary)<~>calm(mary)))=... | ~brave(fred) | [] | null | 0 |
Everyone who is not humble is not old or happy and vice versa.
Everyone who is curious or not patient is either tall or not strong.
Everyone who is generous or curious is both calm and curious and vice versa.
Everyone who is old is either not brave or funny.
Everyone who is wise is wise or patient.
Everyone who is not ... | Paul is not happy. | entailment | (![X]:(~humble(X)<=>(~old(X)|happy(X))))&
(![X]:((curious(X)|~patient(X))=>(tall(X)<~>~strong(X))))&
(![X]:((generous(X)|curious(X))<=>(calm(X)&curious(X))))&
(![X]:(old(X)=>(~brave(X)<~>funny(X))))&
(![X]:(wise(X)=>(wise(X)|patient(X))))&
(![X]:((~funny(X)|creative(X))=>(~creative(X)|~old(X))))&
(![X]:((funny(X)|stron... | ~happy(paul) | [
"p0",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2937576272465699672247023
% SZS output start Proof for 2937576272465699672247023
1. ! [X0] : (~humble(X0) <=> (happy(X0) | ~old(X0))) [input p0]
9. ! [X0] : ((~creative(X0) & ~humble(X0)) => humble(X0)) [input p8]
17. rich(paul) & ~creative(paul) [input p16]
25. happy(paul) [input hypothe... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa. If fred is not wise or not humble then someone is either brave or not happy and vice versa. If paul is not wise or tall then fred is not strong. Everyone who is rich or not strong is not brave or not kind and vice versa. Everyone wh... | Fred is old. | neutral | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(fred)|~humble(fred)))<=>(?[X]:((brave(X)<~>~happy(X)))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(al... | old(fred) | [] | null | 0 |
If someone is either wise or brave then paul is brave and vice versa. If mary is calm or not patient then alice is calm. If lucy is calm then john is creative or happy and vice versa. Everyone who is not kind or patient is old and vice versa. Everyone who is not quiet or patient is brave or rich and vice versa. If paul... | Paul is not quiet. | entailment | ((?[X]:((wise(X)<~>brave(X))))<=>(brave(paul)))&
(((calm(mary)|~patient(mary)))=>(calm(alice)))&
((calm(lucy))<=>((creative(john)|happy(john))))&
(![X]:((~kind(X)|patient(X))<=>old(X)))&
(![X]:((~quiet(X)|patient(X))<=>(brave(X)|rich(X))))&
((~wise(paul))=>(?[X]:(kind(X))))&
(![X]:((~happy(X)<~>kind(X))=>(~generous(X)<... | ~quiet(paul) | [
"p0",
"p3",
"p4",
"p5",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2596206445511442412692748
% SZS output start Proof for 2596206445511442412692748
1. ? [X0] : (wise(X0) <~> brave(X0)) <=> brave(paul) [input p0]
4. ! [X0] : ((patient(X0) | ~kind(X0)) <=> old(X0)) [input p3]
5. ! [X0] : ((patient(X0) | ~quiet(X0)) <=> (rich(X0) | brave(X0))) [input p4]
6.... | 0 |
Everyone who is either not generous or brave is not quiet and vice versa.
Everyone who is either funny or not tall is funny or not tall and vice versa.
Everyone who is both tall and not curious is calm.
Everyone who is not generous or not brave is humble and vice versa.
Everyone who is both not generous and brave is ri... | Alice is not brave. | entailment | (![X]:((~generous(X)<~>brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>~tall(X))<=>(funny(X)|~tall(X))))&
(![X]:((tall(X)&~curious(X))=>calm(X)))&
(![X]:((~generous(X)|~brave(X))<=>humble(X)))&
(![X]:((~generous(X)&brave(X))<=>rich(X)))&
(![X]:(old(X)=>generous(X)))&
(![X]:((creative(X)&happy(X))<=>(happy(X)|curious(X))))&... | ~brave(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p8",
"p10",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 410631887908993886742094
% SZS output start Proof for 410631887908993886742094
1. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((~curious(X0) & tall(X0)) => calm(X0)) [input p2]
4. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> humble(X0)) [input p3]
5. ! [X0... | 0 |
Everyone who is either calm or strong is not rich.
If someone is both curious and not generous then someone is either not strong or calm.
If someone is both strong and wise then someone is both curious and not funny.
Everyone who is either not kind or happy is creative or not wise and vice versa.
If susan is quiet then... | Susan is kind. | neutral | (![X]:((calm(X)<~>strong(X))=>~rich(X)))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((curious(X)&~funny(X)))))&
(![X]:((~kind(X)<~>happy(X))<=>(creative(X)|~wise(X))))&
((quiet(susan))=>(?[X]:((~funny(X)&~patient(X)))))&
((?[X]:(~strong(X)))<=>((~calm(al... | kind(susan) | [] | null | 0 |
Everyone who is not funny is either not happy or humble.
If fred is either not rich or not calm then fred is either not wise or generous and vice versa.
Everyone who is not quiet or not calm is not creative or strong.
Everyone who is either quiet or humble is not brave or humble and vice versa.
If someone is wise then ... | Lucy is humble. | contradiction | (![X]:(~funny(X)=>(~happy(X)<~>humble(X))))&
(((~rich(fred)<~>~calm(fred)))<=>((~wise(fred)<~>generous(fred))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)|strong(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~brave(X)|humble(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~kind(X)&~tall(X)))))&
(![X]:((creative(X)|~generous(X))=>(~happy... | humble(lucy) | [
"p0",
"p6",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3240529663829948135155972
% SZS output start Proof for 3240529663829948135155972
1. ! [X0] : (~funny(X0) => (~happy(X0) <~> humble(X0))) [input p0]
7. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (funny(X0) <~> humble(X0))) [input p6]
11. ! [X0] : ((~curious(X0) | curious(X0)) <=> (brave(X0) & ca... | 0 |
Everyone who is either not old or rich is both not calm and not old.
If paul is either not strong or not brave then someone is either not wise or brave.
Everyone who is not quiet is happy.
If john is either rich or not wise then paul is humble.
If someone is tall then someone is either old or wise.
If someone is old or... | Fred is not happy. | neutral | (![X]:((~old(X)<~>rich(X))=>(~calm(X)&~old(X))))&
(((~strong(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)<~>brave(X)))))&
(![X]:(~quiet(X)=>happy(X)))&
(((rich(john)<~>~wise(john)))=>(humble(paul)))&
((?[X]:(tall(X)))=>(?[X]:((old(X)<~>wise(X)))))&
((?[X]:((old(X)|~happy(X))))=>((curious(fred)&~brave(fred))))&
(![X]:((~hap... | ~happy(fred) | [] | null | 0 |
Everyone who is both strong and not tall is either brave or not happy. Everyone who is either creative or strong is not rich or not humble. Everyone who is generous is either not curious or humble and vice versa. If john is not creative or not funny then someone is both not funny and strong and vice versa. Everyone who... | Mary is not generous. | neutral | (![X]:((strong(X)&~tall(X))=>(brave(X)<~>~happy(X))))&
(![X]:((creative(X)<~>strong(X))=>(~rich(X)|~humble(X))))&
(![X]:(generous(X)<=>(~curious(X)<~>humble(X))))&
(((~creative(john)|~funny(john)))<=>(?[X]:((~funny(X)&strong(X)))))&
(![X]:((~generous(X)&~brave(X))<=>(~humble(X)&calm(X))))&
(![X]:(creative(X)<=>~brave(X... | ~generous(mary) | [] | null | 0 |
If susan is either not kind or not quiet then someone is both not rich and not tall. Everyone who is either not strong or generous is rich. If mary is not strong then john is either patient or not rich and vice versa. Everyone who is either not funny or curious is rich or not tall. If someone is calm or strong then som... | Fred is patient. | contradiction | (((~kind(susan)<~>~quiet(susan)))=>(?[X]:((~rich(X)&~tall(X)))))&
(![X]:((~strong(X)<~>generous(X))=>rich(X)))&
((~strong(mary))<=>((patient(john)<~>~rich(john))))&
(![X]:((~funny(X)<~>curious(X))=>(rich(X)|~tall(X))))&
((?[X]:((calm(X)|strong(X))))<=>(?[X]:((wise(X)&~patient(X)))))&
((?[X]:((calm(X)|~patient(X))))=>((... | patient(fred) | [
"p1",
"p7",
"p9",
"p11",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5211377684949296539498405
% SZS output start Proof for 5211377684949296539498405
2. ! [X0] : ((~strong(X0) <~> generous(X0)) => rich(X0)) [input p1]
8. ! [X0] : ((~quiet(X0) | rich(X0)) => (~quiet(X0) & humble(X0))) [input p7]
10. ? [X0] : (~creative(X0) | funny(X0)) <=> (kind(fred) | str... | 0 |
If mary is either wise or quiet then someone is both not strong and not brave and vice versa.
Everyone who is either not patient or not old is strong or not creative and vice versa.
If paul is either not wise or not funny then someone is both generous and calm and vice versa.
Everyone who is not calm is both brave and ... | Susan is not brave. | neutral | (((wise(mary)<~>quiet(mary)))<=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~patient(X)<~>~old(X))<=>(strong(X)|~creative(X))))&
(((~wise(paul)<~>~funny(paul)))<=>(?[X]:((generous(X)&calm(X)))))&
(![X]:(~calm(X)=>(brave(X)&funny(X))))&
((curious(john))<=>(?[X]:((~generous(X)|~funny(X)))))&
((?[X]:((~rich(X)<~>~patient(X)... | ~brave(susan) | [] | null | 0 |
If someone is not happy then someone is humble. If someone is either tall or brave then someone is both not humble and not tall. If john is not rich then lucy is both not brave and creative and vice versa. Everyone who is not creative or funny is old or not funny and vice versa. If someone is not wise or not rich then ... | Lucy is rich. | entailment | ((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((tall(X)<~>brave(X))))=>(?[X]:((~humble(X)&~tall(X)))))&
((~rich(john))<=>((~brave(lucy)&creative(lucy))))&
(![X]:((~creative(X)|funny(X))<=>(old(X)|~funny(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~brave(susan)&~humble(susan))))&
(![X]:(~old(X)<=>patient(X)))&
(![X]:((~... | rich(lucy) | [
"p4",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1224615891168300401563111
% SZS output start Proof for 1224615891168300401563111
5. ? [X0] : (~rich(X0) | ~wise(X0)) <=> (~humble(susan) & ~brave(susan)) [input p4]
7. ! [X0] : ((~humble(X0) <~> humble(X0)) => (funny(X0) <~> kind(X0))) [input p6]
9. ! [X0] : ((kind(X0) | happy(X0)) <=> br... | 0 |
Everyone who is either patient or old is both old and not patient.
Everyone who is both happy and kind is either rich or old and vice versa.
Everyone who is not curious or wise is both not old and tall and vice versa.
Everyone who is both not tall and patient is old and vice versa.
Everyone who is either not strong or ... | Lucy is not calm. | neutral | (![X]:((patient(X)<~>old(X))=>(old(X)&~patient(X))))&
(![X]:((happy(X)&kind(X))<=>(rich(X)<~>old(X))))&
(![X]:((~curious(X)|wise(X))<=>(~old(X)&tall(X))))&
(![X]:((~tall(X)&patient(X))<=>old(X)))&
(![X]:((~strong(X)<~>~quiet(X))=>~strong(X)))&
(((~patient(paul)|~calm(paul)))=>((brave(paul)&~wise(paul))))&
(![X]:((tall(... | ~calm(lucy) | [] | null | 0 |
Everyone who is either not wise or not generous is wise and vice versa.
If someone is not strong then paul is not wise and vice versa.
If someone is tall then someone is both not old and patient and vice versa.
If someone is quiet then someone is both not rich and rich and vice versa.
Everyone who is tall or funny is b... | Paul is wise. | entailment | (![X]:((~wise(X)<~>~generous(X))<=>wise(X)))&
((?[X]:(~strong(X)))<=>(~wise(paul)))&
((?[X]:(tall(X)))<=>(?[X]:((~old(X)&patient(X)))))&
((?[X]:(quiet(X)))<=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((tall(X)|funny(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((~strong(X)<~>generous(X))))<=>((generous(paul)&~tall(paul))))&
(((~crea... | wise(paul) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6901014328298987661315018
% SZS output start Proof for 6901014328298987661315018
1. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> wise(X0)) [input p0]
2. ? [X0] : ~strong(X0) <=> ~wise(paul) [input p1]
6. ? [X0] : (~strong(X0) <~> generous(X0)) <=> (~tall(paul) & generous(paul)) [input p5]
... | 0 |
Everyone who is not funny is both calm and wise. If someone is either not calm or not curious then someone is generous and vice versa. If mary is wise or funny then someone is not wise and vice versa. Everyone who is not quiet is not humble or not brave. If someone is not funny or funny then lucy is not funny. Everyone... | Susan is old. | contradiction | (![X]:(~funny(X)=>(calm(X)&wise(X))))&
((?[X]:((~calm(X)<~>~curious(X))))<=>(?[X]:(generous(X))))&
(((wise(mary)|funny(mary)))<=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~funny(X)|funny(X))))=>(~funny(lucy)))&
(![X]:((~calm(X)|humble(X))<=>(~funny(X)<~>~old(X))))&
(((wise(alice)&~creativ... | old(susan) | [
"p0",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 444320747924020204638154
% SZS output start Proof for 444320747924020204638154
1. ! [X0] : (~funny(X0) => (wise(X0) & calm(X0))) [input p0]
6. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (~funny(X0) <~> ~old(X0))) [input p5]
7. (~creative(alice) & wise(alice)) <=> ? [X0] : (~quiet(X0) | ~rich(... | 0 |
Everyone who is either creative or happy is either rich or patient.
Everyone who is both not generous and curious is humble.
Everyone who is quiet is humble.
Everyone who is not funny or not patient is not patient or not curious and vice versa.
Everyone who is strong is either old or rich and vice versa.
If susan is no... | Mary is generous. | neutral | (![X]:((creative(X)<~>happy(X))=>(rich(X)<~>patient(X))))&
(![X]:((~generous(X)&curious(X))=>humble(X)))&
(![X]:(quiet(X)=>humble(X)))&
(![X]:((~funny(X)|~patient(X))<=>(~patient(X)|~curious(X))))&
(![X]:(strong(X)<=>(old(X)<~>rich(X))))&
((~calm(susan))=>(brave(john)))&
(![X]:((~quiet(X)|creative(X))<=>(~tall(X)<~>~cr... | generous(mary) | [] | null | 0 |
Everyone who is either not brave or brave is not strong. Everyone who is both not funny and quiet is either generous or not humble. If someone is both generous and not strong then someone is generous or humble and vice versa. If alice is happy then someone is either patient or not old. Everyone who is not tall is both ... | Fred is tall. | entailment | (![X]:((~brave(X)<~>brave(X))=>~strong(X)))&
(![X]:((~funny(X)&quiet(X))=>(generous(X)<~>~humble(X))))&
((?[X]:((generous(X)&~strong(X))))<=>(?[X]:((generous(X)|humble(X)))))&
((happy(alice))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:(~tall(X)=>(~humble(X)&tall(X))))&
(![X]:((~happy(X)|brave(X))<=>~humble(X)))&
(![X]:((... | tall(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 934442330969847233174804
% SZS output start Proof for 934442330969847233174804
5. ! [X0] : (~tall(X0) => (tall(X0) & ~humble(X0))) [input p4]
23. ~tall(fred) [input hypothesis]
31. ! [X0] : ((tall(X0) & ~humble(X0)) | tall(X0)) [ennf transformation 5]
80. tall(X0) | tall(X0) [cnf transfor... | 0 |
Everyone who is either kind or not funny is funny and vice versa.
Everyone who is happy or quiet is happy or not rich.
If lucy is not funny or kind then john is either not humble or not old.
Everyone who is either not rich or not strong is both humble and funny and vice versa.
Everyone who is quiet or not brave is not ... | John is not rich. | contradiction | (![X]:((kind(X)<~>~funny(X))<=>funny(X)))&
(![X]:((happy(X)|quiet(X))=>(happy(X)|~rich(X))))&
(((~funny(lucy)|kind(lucy)))=>((~humble(john)<~>~old(john))))&
(![X]:((~rich(X)<~>~strong(X))<=>(humble(X)&funny(X))))&
(![X]:((quiet(X)|~brave(X))<=>(~old(X)|~patient(X))))&
((brave(paul))<=>(?[X]:((quiet(X)<~>creative(X)))))... | ~rich(john) | [
"p0",
"p3",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2134496075039517463745616
% SZS output start Proof for 2134496075039517463745616
1. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> funny(X0)) [input p0]
4. ! [X0] : ((~rich(X0) <~> ~strong(X0)) <=> (funny(X0) & humble(X0))) [input p3]
11. ! [X0] : ((~kind(X0) | strong(X0)) <=> ~humble(X0)) [inpu... | 0 |
Everyone who is not old or brave is both not wise and wise.
If mary is curious or not wise then someone is quiet and vice versa.
If mary is not quiet then lucy is both not kind and humble.
If lucy is both kind and not brave then someone is both rich and patient and vice versa.
Everyone who is either humble or curious i... | Paul is funny. | neutral | (![X]:((~old(X)|brave(X))=>(~wise(X)&wise(X))))&
(((curious(mary)|~wise(mary)))<=>(?[X]:(quiet(X))))&
((~quiet(mary))=>((~kind(lucy)&humble(lucy))))&
(((kind(lucy)&~brave(lucy)))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((humble(X)<~>curious(X))=>~tall(X)))&
((?[X]:(brave(X)))=>((strong(mary)<~>curious(mary))))&
(![X]:(... | funny(paul) | [] | null | 0 |
Everyone who is not patient or not quiet is either old or calm and vice versa.
If someone is not calm or curious then john is not tall or quiet and vice versa.
If alice is both not happy and quiet then someone is either old or funny.
Everyone who is not creative or not quiet is tall and vice versa.
Everyone who is not ... | Fred is not curious. | neutral | (![X]:((~patient(X)|~quiet(X))<=>(old(X)<~>calm(X))))&
((?[X]:((~calm(X)|curious(X))))<=>((~tall(john)|quiet(john))))&
(((~happy(alice)&quiet(alice)))=>(?[X]:((old(X)<~>funny(X)))))&
(![X]:((~creative(X)|~quiet(X))<=>tall(X)))&
(![X]:((~calm(X)|~strong(X))=>generous(X)))&
((?[X]:(~kind(X)))=>((~funny(fred)&old(fred))))... | ~curious(fred) | [] | null | 0 |
If fred is either creative or kind then alice is both not rich and generous and vice versa.
Everyone who is both creative and calm is both not curious and not humble and vice versa.
Everyone who is not old or not happy is both calm and not quiet and vice versa.
Everyone who is either not funny or not humble is curious ... | Paul is funny. | contradiction | (((creative(fred)<~>kind(fred)))<=>((~rich(alice)&generous(alice))))&
(![X]:((creative(X)&calm(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~old(X)|~happy(X))<=>(calm(X)&~quiet(X))))&
(![X]:((~funny(X)<~>~humble(X))<=>(curious(X)|~tall(X))))&
(((~creative(alice)|~calm(alice)))<=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:((b... | funny(paul) | [
"p2",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7869229152356227956356105
% SZS output start Proof for 7869229152356227956356105
3. ! [X0] : ((~happy(X0) | ~old(X0)) <=> (~quiet(X0) & calm(X0))) [input p2]
8. ! [X0] : (~happy(X0) => (~old(X0) <~> ~creative(X0))) [input p7]
10. ! [X0] : (funny(X0) => (~strong(X0) & ~happy(X0))) [input p... | 0 |
If john is not patient or happy then someone is not patient and vice versa.
Everyone who is either humble or tall is wise and vice versa.
If someone is happy or not patient then paul is either not patient or not wise and vice versa.
Everyone who is both not strong and not patient is both not brave and rich and vice ver... | Paul is patient. | neutral | (((~patient(john)|happy(john)))<=>(?[X]:(~patient(X))))&
(![X]:((humble(X)<~>tall(X))<=>wise(X)))&
((?[X]:((happy(X)|~patient(X))))<=>((~patient(paul)<~>~wise(paul))))&
(![X]:((~strong(X)&~patient(X))<=>(~brave(X)&rich(X))))&
(![X]:((~calm(X)|~rich(X))=>(~calm(X)|calm(X))))&
((?[X]:((tall(X)<~>quiet(X))))=>((~calm(lucy... | patient(paul) | [] | null | 0 |
If susan is either happy or kind then paul is both not generous and not patient and vice versa.
If someone is either funny or not kind then someone is generous or not brave.
If someone is not happy or not brave then paul is not wise and vice versa.
If someone is not generous or rich then someone is either happy or curi... | John is not rich. | entailment | (((happy(susan)<~>kind(susan)))<=>((~generous(paul)&~patient(paul))))&
((?[X]:((funny(X)<~>~kind(X))))=>(?[X]:((generous(X)|~brave(X)))))&
((?[X]:((~happy(X)|~brave(X))))<=>(~wise(paul)))&
((?[X]:((~generous(X)|rich(X))))=>(?[X]:((happy(X)<~>curious(X)))))&
((?[X]:((funny(X)<~>humble(X))))=>((curious(fred)<~>funny(fred... | ~rich(john) | [
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7743018004617343544817047
% SZS output start Proof for 7743018004617343544817047
8. ! [X0] : (~strong(X0) <=> (kind(X0) <~> strong(X0))) [input p7]
14. (~kind(fred) & ~tall(fred)) <=> ? [X0] : (~wise(X0) | ~humble(X0)) [input p13]
15. ! [X0] : ((old(X0) | rich(X0)) => ~wise(X0)) [input p1... | 0 |
Everyone who is either humble or not humble is kind.
Everyone who is quiet is both creative and tall.
Everyone who is brave or not patient is either rich or curious and vice versa.
If alice is not curious then fred is not wise or wise.
Everyone who is happy is either not quiet or calm.
If alice is not tall or not gener... | John is tall. | contradiction | (![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![X]:(quiet(X)=>(creative(X)&tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)<~>curious(X))))&
((~curious(alice))=>((~wise(fred)|wise(fred))))&
(![X]:(happy(X)=>(~quiet(X)<~>calm(X))))&
(((~tall(alice)|~generous(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)|patient(X... | tall(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4259125112813640837172462
% SZS output start Proof for 4259125112813640837172462
7. ! [X0] : ((patient(X0) | ~patient(X0)) => (~quiet(X0) & ~tall(X0))) [input p6]
25. tall(john) [input hypothesis]
35. ! [X0] : ((~quiet(X0) & ~tall(X0)) | (~patient(X0) & patient(X0))) [ennf transformation ... | 0 |
If mary is either not brave or wise then someone is not calm or tall. Everyone who is not curious or happy is not happy and vice versa. Everyone who is both old and wise is either quiet or funny. If someone is either curious or strong then lucy is not tall or patient. Everyone who is either wise or old is both not quie... | Susan is happy. | contradiction | (((~brave(mary)<~>wise(mary)))=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:((~curious(X)|happy(X))<=>~happy(X)))&
(![X]:((old(X)&wise(X))=>(quiet(X)<~>funny(X))))&
((?[X]:((curious(X)<~>strong(X))))=>((~tall(lucy)|patient(lucy))))&
(![X]:((wise(X)<~>old(X))=>(~quiet(X)&rich(X))))&
(![X]:(~generous(X)<=>(quiet(X)<~>funny(X))))... | happy(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7109730823652427518106205
% SZS output start Proof for 7109730823652427518106205
2. ! [X0] : ((happy(X0) | ~curious(X0)) <=> ~happy(X0)) [input p1]
24. happy(susan) [input hypothesis]
40. ! [X0] : (((happy(X0) | ~curious(X0)) | happy(X0)) & (~happy(X0) | (~happy(X0) & curious(X0)))) [nnf ... | 0 |
If susan is not curious or not creative then someone is both not patient and not generous and vice versa.
Everyone who is either not brave or funny is happy or generous.
Everyone who is not generous is either not funny or kind and vice versa.
Everyone who is not curious or not tall is either not curious or tall and vic... | Fred is humble. | neutral | (((~curious(susan)|~creative(susan)))<=>(?[X]:((~patient(X)&~generous(X)))))&
(![X]:((~brave(X)<~>funny(X))=>(happy(X)|generous(X))))&
(![X]:(~generous(X)<=>(~funny(X)<~>kind(X))))&
(![X]:((~curious(X)|~tall(X))<=>(~curious(X)<~>tall(X))))&
((?[X]:((~calm(X)&~rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((old(X)&~bra... | humble(fred) | [] | null | 0 |
Everyone who is either calm or brave is not funny or not strong.
Everyone who is not happy or not kind is not calm.
Everyone who is either not funny or wise is both wise and not rich and vice versa.
Everyone who is not creative or not humble is rich and vice versa.
If susan is both generous and not rich then fred is ei... | Fred is not brave. | contradiction | (![X]:((calm(X)<~>brave(X))=>(~funny(X)|~strong(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((~funny(X)<~>wise(X))<=>(wise(X)&~rich(X))))&
(![X]:((~creative(X)|~humble(X))<=>rich(X)))&
(((generous(susan)&~rich(susan)))=>((humble(fred)<~>happy(fred))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:(~patient(X))))&
... | ~brave(fred) | [
"p3",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5232217705415013896416315
% SZS output start Proof for 5232217705415013896416315
4. ! [X0] : ((~humble(X0) | ~creative(X0)) <=> rich(X0)) [input p3]
10. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p9]
13. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (curious(X0) | quiet(X0))) [input p12]
16. ! ... | 0 |
Everyone who is both generous and calm is creative and vice versa.
If someone is either happy or not wise then paul is not generous.
If someone is not creative or not generous then fred is either not kind or not wise and vice versa.
If mary is not tall or generous then fred is not patient and vice versa.
Everyone who i... | Fred is not patient. | neutral | (![X]:((generous(X)&calm(X))<=>creative(X)))&
((?[X]:((happy(X)<~>~wise(X))))=>(~generous(paul)))&
((?[X]:((~creative(X)|~generous(X))))<=>((~kind(fred)<~>~wise(fred))))&
(((~tall(mary)|generous(mary)))<=>(~patient(fred)))&
(![X]:(~creative(X)<=>(~rich(X)&~funny(X))))&
((?[X]:((~happy(X)|~patient(X))))=>(~old(mary)))&
... | ~patient(fred) | [] | null | 0 |
If someone is either not curious or not old then lucy is kind and vice versa.
Everyone who is both tall and patient is either curious or not happy.
If someone is strong or happy then alice is both curious and tall and vice versa.
Everyone who is not funny or creative is either wise or happy.
If someone is either not br... | Lucy is tall. | neutral | ((?[X]:((~curious(X)<~>~old(X))))<=>(kind(lucy)))&
(![X]:((tall(X)&patient(X))=>(curious(X)<~>~happy(X))))&
((?[X]:((strong(X)|happy(X))))<=>((curious(alice)&tall(alice))))&
(![X]:((~funny(X)|creative(X))=>(wise(X)<~>happy(X))))&
((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((~calm(X)|~... | tall(lucy) | [] | null | 0 |
Everyone who is not curious or creative is happy or wise.
If someone is not wise or not old then fred is both not curious and not strong.
If someone is both patient and old then someone is either brave or not kind.
Everyone who is old or not strong is creative or not wise.
If someone is not generous or humble then paul... | Lucy is patient. | contradiction | (![X]:((~curious(X)|creative(X))=>(happy(X)|wise(X))))&
((?[X]:((~wise(X)|~old(X))))=>((~curious(fred)&~strong(fred))))&
((?[X]:((patient(X)&old(X))))=>(?[X]:((brave(X)<~>~kind(X)))))&
(![X]:((old(X)|~strong(X))=>(creative(X)|~wise(X))))&
((?[X]:((~generous(X)|humble(X))))=>((~generous(paul)|~rich(paul))))&
((~strong(f... | patient(lucy) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5253320659791870936327999
% SZS output start Proof for 5253320659791870936327999
11. ! [X0] : ((funny(X0) | generous(X0)) => (generous(X0) <~> patient(X0))) [input p10]
17. generous(lucy) [input p16]
25. patient(lucy) [input hypothesis]
41. ! [X0] : ((generous(X0) <~> patient(X0)) | (~fun... | 0 |
Everyone who is both not happy and not quiet is both kind and strong and vice versa.
Everyone who is not quiet is both not curious and not creative and vice versa.
If mary is either not rich or not generous then alice is both happy and not happy and vice versa.
If lucy is quiet or not old then someone is either quiet o... | Susan is not old. | neutral | (![X]:((~happy(X)&~quiet(X))<=>(kind(X)&strong(X))))&
(![X]:(~quiet(X)<=>(~curious(X)&~creative(X))))&
(((~rich(mary)<~>~generous(mary)))<=>((happy(alice)&~happy(alice))))&
(((quiet(lucy)|~old(lucy)))<=>(?[X]:((quiet(X)<~>~kind(X)))))&
(![X]:((~kind(X)&~patient(X))=>patient(X)))&
(![X]:((~tall(X)&calm(X))<=>(brave(X)|~... | ~old(susan) | [] | null | 0 |
If someone is not funny then lucy is either rich or strong and vice versa. Everyone who is happy or not rich is not wise or kind. Everyone who is curious is humble or not rich and vice versa. If fred is old then someone is either not strong or not quiet. Everyone who is both not quiet and funny is both quiet and not ca... | Fred is wise. | entailment | ((?[X]:(~funny(X)))<=>((rich(lucy)<~>strong(lucy))))&
(![X]:((happy(X)|~rich(X))=>(~wise(X)|kind(X))))&
(![X]:(curious(X)<=>(humble(X)|~rich(X))))&
((old(fred))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((~quiet(X)&funny(X))=>(quiet(X)&~calm(X))))&
(![X]:(creative(X)=>(old(X)|~patient(X))))&
(![X]:((strong(X)&kind(X))... | wise(fred) | [
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5707654029987112794921752
% SZS output start Proof for 5707654029987112794921752
3. ! [X0] : (curious(X0) <=> (~rich(X0) | humble(X0))) [input p2]
8. rich(mary) <=> wise(fred) [input p7]
12. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (~generous(X0) | curious(X0))) [input p11]
25. ~wise(fred... | 0 |
Everyone who is both calm and not creative is both not wise and funny and vice versa.
Everyone who is both not generous and not curious is not calm and vice versa.
If someone is either tall or curious then mary is tall.
Everyone who is both not kind and not happy is both not creative and wise.
If susan is either not br... | John is quiet. | neutral | (![X]:((calm(X)&~creative(X))<=>(~wise(X)&funny(X))))&
(![X]:((~generous(X)&~curious(X))<=>~calm(X)))&
((?[X]:((tall(X)<~>curious(X))))=>(tall(mary)))&
(![X]:((~kind(X)&~happy(X))=>(~creative(X)&wise(X))))&
(((~brave(susan)<~>creative(susan)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:((happy(X)&brave(X))<=>quiet(X)))&... | quiet(john) | [] | null | 0 |
If someone is not strong then someone is both wise and rich and vice versa.
Everyone who is not curious is either wise or not brave and vice versa.
If alice is both not wise and not calm then john is not tall or not wise.
Everyone who is either not happy or not brave is creative or not rich.
Everyone who is both not ki... | Alice is rich. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:(~curious(X)<=>(wise(X)<~>~brave(X))))&
(((~wise(alice)&~calm(alice)))=>((~tall(john)|~wise(john))))&
(![X]:((~happy(X)<~>~brave(X))=>(creative(X)|~rich(X))))&
(![X]:((~kind(X)&happy(X))<=>(tall(X)|wise(X))))&
(![X]:((old(X)<~>brave(X))<=>~old(X)))&
(![X]:((tall... | rich(alice) | [] | null | 0 |
If someone is both patient and not quiet then someone is either tall or creative.
Everyone who is not happy or not creative is rich and vice versa.
Everyone who is not rich is calm or not generous.
If someone is not calm then someone is both not brave and happy.
Everyone who is not humble or not strong is both not kind... | Alice is calm. | neutral | ((?[X]:((patient(X)&~quiet(X))))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((~happy(X)|~creative(X))<=>rich(X)))&
(![X]:(~rich(X)=>(calm(X)|~generous(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~brave(X)&happy(X)))))&
(![X]:((~humble(X)|~strong(X))=>(~kind(X)&patient(X))))&
(![X]:((brave(X)|kind(X))<=>(~kind(X)|strong(X))))&
(!... | calm(alice) | [] | null | 0 |
Everyone who is both tall and not kind is happy and vice versa.
If alice is not strong or old then john is both not brave and not wise and vice versa.
If someone is not old then susan is not curious or funny.
Everyone who is both curious and not happy is either not calm or not strong and vice versa.
If paul is kind the... | Paul is curious. | entailment | (![X]:((tall(X)&~kind(X))<=>happy(X)))&
(((~strong(alice)|old(alice)))<=>((~brave(john)&~wise(john))))&
((?[X]:(~old(X)))=>((~curious(susan)|funny(susan))))&
(![X]:((curious(X)&~happy(X))<=>(~calm(X)<~>~strong(X))))&
((kind(paul))<=>(humble(mary)))&
(![X]:((funny(X)&~kind(X))<=>(~rich(X)<~>creative(X))))&
(![X]:(~curio... | curious(paul) | [
"p4",
"p7",
"p8",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 851515142365135150445448
% SZS output start Proof for 851515142365135150445448
5. kind(paul) <=> humble(mary) [input p4]
8. ! [X0] : ((strong(X0) | ~curious(X0)) <=> wise(X0)) [input p7]
9. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p8]
15. ! [X0] : (strong... | 0 |
Everyone who is either humble or patient is either humble or not strong and vice versa.
Everyone who is both quiet and not wise is wise.
Everyone who is either creative or calm is not generous or calm.
Everyone who is calm or not happy is either not rich or not generous.
If someone is either not humble or rich then som... | John is tall. | neutral | (![X]:((humble(X)<~>patient(X))<=>(humble(X)<~>~strong(X))))&
(![X]:((quiet(X)&~wise(X))=>wise(X)))&
(![X]:((creative(X)<~>calm(X))=>(~generous(X)|calm(X))))&
(![X]:((calm(X)|~happy(X))=>(~rich(X)<~>~generous(X))))&
((?[X]:((~humble(X)<~>rich(X))))<=>(?[X]:(brave(X))))&
((~happy(alice))=>(~calm(mary)))&
((?[X]:((kind(X... | tall(john) | [] | null | 0 |
Everyone who is both not funny and not curious is not tall and vice versa.
Everyone who is not curious is both generous and not kind and vice versa.
Everyone who is not brave is both quiet and humble.
Everyone who is both not quiet and quiet is not humble or kind and vice versa.
If someone is not quiet or funny then so... | Lucy is patient. | neutral | (![X]:((~funny(X)&~curious(X))<=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[X]:((~quiet(X)|funny(X))))<=>(?[X]:((~creative(X)|old(X)))))&
(((humble(susan)&calm(susan)))=>(?[X]:((~curious(X)|~strong(X)))))... | patient(lucy) | [] | null | 0 |
Everyone who is not humble or old is both not quiet and not happy.
If john is not patient or curious then paul is either not curious or not tall and vice versa.
Everyone who is not quiet or not patient is not patient or generous.
Everyone who is happy or not patient is curious and vice versa.
Everyone who is creative i... | Paul is not creative. | contradiction | (![X]:((~humble(X)|old(X))=>(~quiet(X)&~happy(X))))&
(((~patient(john)|curious(john)))<=>((~curious(paul)<~>~tall(paul))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)|generous(X))))&
(![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:((~creative(X)|funny(X))=>(kind(X)|~... | ~creative(paul) | [
"p0",
"p5",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8797633147201229799640344
% SZS output start Proof for 8797633147201229799640344
1. ! [X0] : ((old(X0) | ~humble(X0)) => (~happy(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creativ... | 0 |
If someone is wise or not old then someone is not funny. Everyone who is both tall and not curious is not happy or happy. If paul is kind then fred is not humble or brave. Everyone who is not kind or kind is not tall and vice versa. Everyone who is kind is not tall and vice versa. If alice is both happy and old then al... | John is curious. | entailment | ((?[X]:((wise(X)|~old(X))))=>(?[X]:(~funny(X))))&
(![X]:((tall(X)&~curious(X))=>(~happy(X)|happy(X))))&
((kind(paul))=>((~humble(fred)|brave(fred))))&
(![X]:((~kind(X)|kind(X))<=>~tall(X)))&
(![X]:(kind(X)<=>~tall(X)))&
(((happy(alice)&old(alice)))=>((~rich(alice)&~generous(alice))))&
(![X]:((happy(X)|~old(X))<=>curiou... | curious(john) | [
"p3",
"p4",
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 811164213593727910731307
% SZS output start Proof for 811164213593727910731307
4. ! [X0] : ((kind(X0) | ~kind(X0)) <=> ~tall(X0)) [input p3]
5. ! [X0] : (kind(X0) <=> ~tall(X0)) [input p4]
7. ! [X0] : ((~old(X0) | happy(X0)) <=> curious(X0)) [input p6]
12. ! [X0] : ((generous(X0) | creati... | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both kind and not kind is either not brave or curious.
Everyone who is both patient and not happy is either quiet or happy and vice versa.
If fred is either quiet or old then paul is both happy and... | Susan is patient. | neutral | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)<~>curious(X))))&
(![X]:((patient(X)&~happy(X))<=>(quiet(X)<~>happy(X))))&
(((quiet(fred)<~>old(fred)))<=>((happy(paul)&wise(paul))))&
(![X]:(generous(X)<=>(curious(X)<~>wise(X))))&
((?[X]:((~patient(... | patient(susan) | [] | null | 0 |
Everyone who is not generous is both not tall and not funny and vice versa.
Everyone who is not tall is not patient or not tall.
Everyone who is brave is kind or not kind and vice versa.
If mary is not patient then someone is happy or not old and vice versa.
Everyone who is both not tall and happy is not tall and vice ... | Mary is quiet. | neutral | (![X]:(~generous(X)<=>(~tall(X)&~funny(X))))&
(![X]:(~tall(X)=>(~patient(X)|~tall(X))))&
(![X]:(brave(X)<=>(kind(X)|~kind(X))))&
((~patient(mary))<=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((~tall(X)&happy(X))<=>~tall(X)))&
(![X]:(~curious(X)=>(tall(X)<~>curious(X))))&
(![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(... | quiet(mary) | [] | null | 0 |
Everyone who is strong or not wise is both quiet and not old and vice versa. If john is either brave or not kind then someone is not creative. Everyone who is both old and not happy is happy or not wise. Everyone who is not brave or wise is either humble or not brave and vice versa. Everyone who is either not tall or n... | Paul is patient. | entailment | (![X]:((strong(X)|~wise(X))<=>(quiet(X)&~old(X))))&
(((brave(john)<~>~kind(john)))=>(?[X]:(~creative(X))))&
(![X]:((old(X)&~happy(X))=>(happy(X)|~wise(X))))&
(![X]:((~brave(X)|wise(X))<=>(humble(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~humble(X))<=>(~patient(X)&~strong(X))))&
(((wise(john)<~>happy(john)))<=>((~patient(pa... | patient(paul) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2550385497569657333250892
% SZS output start Proof for 2550385497569657333250892
7. ! [X0] : ((~humble(X0) & humble(X0)) <=> ~kind(X0)) [input p6]
21. kind(paul) <~> ~patient(paul) [input p20]
25. ~patient(paul) [input hypothesis]
49. ! [X0] : (((~humble(X0) & humble(X0)) | kind(X0)) & (~... | 0 |
Everyone who is both tall and generous is both humble and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vice versa. Everyone who is both not kind and not strong is either kind or not funny. Everyone who is not happy is brave. Everyone who is happy is not humble and vice versa... | Lucy is not calm. | neutral | (![X]:((tall(X)&generous(X))<=>(humble(X)&tall(X))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((~wise(X)&generous(X))=>~calm(X)))&
(![X]:((brave(X)|rich(X))<=>(~patient(X)|happy(X))))&... | ~calm(lucy) | [] | null | 0 |
Everyone who is both not creative and calm is both not funny and not happy. Everyone who is not happy is both not curious and not strong and vice versa. Everyone who is funny is patient and vice versa. If someone is not old or not rich then someone is either not strong or not rich. Everyone who is tall or creative is e... | Alice is not humble. | neutral | (![X]:((~creative(X)&calm(X))=>(~funny(X)&~happy(X))))&
(![X]:(~happy(X)<=>(~curious(X)&~strong(X))))&
(![X]:(funny(X)<=>patient(X)))&
((?[X]:((~old(X)|~rich(X))))=>(?[X]:((~strong(X)<~>~rich(X)))))&
(![X]:((tall(X)|creative(X))=>(happy(X)<~>~rich(X))))&
(((calm(john)|~quiet(john)))=>(?[X]:(rich(X))))&
((?[X]:((~patien... | ~humble(alice) | [] | null | 0 |
Everyone who is not old is both rich and strong and vice versa.
If someone is either not old or not wise then fred is either not kind or tall.
If someone is not rich then susan is not happy.
Everyone who is both not creative and not strong is both not humble and old and vice versa.
If paul is either calm or funny then ... | Paul is creative. | neutral | (![X]:(~old(X)<=>(rich(X)&strong(X))))&
((?[X]:((~old(X)<~>~wise(X))))=>((~kind(fred)<~>tall(fred))))&
((?[X]:(~rich(X)))=>(~happy(susan)))&
(![X]:((~creative(X)&~strong(X))<=>(~humble(X)&old(X))))&
(((calm(paul)<~>funny(paul)))=>((~rich(alice)&humble(alice))))&
(![X]:((happy(X)|~quiet(X))=>(~patient(X)|wise(X))))&
(![... | creative(paul) | [] | null | 0 |
Everyone who is curious is both not old and not curious.
If someone is both not funny and not happy then susan is not happy or kind and vice versa.
Everyone who is not brave is either not strong or not humble and vice versa.
If susan is both not curious and calm then someone is both not patient and not rich and vice ve... | Susan is calm. | entailment | (![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~qu... | calm(susan) | [
"p0",
"p3",
"p4",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3798482776468936851301393
% SZS output start Proof for 3798482776468936851301393
1. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p0]
4. (calm(susan) & ~curious(susan)) <=> ? [X0] : (~rich(X0) & ~patient(X0)) [input p3]
5. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~... | 0 |
Everyone who is not happy is both not generous and wise.
Everyone who is not quiet is not old and vice versa.
Everyone who is calm or quiet is not patient and vice versa.
Everyone who is not calm or not strong is either strong or not humble.
If lucy is either not quiet or curious then someone is either creative or not ... | Susan is generous. | neutral | (![X]:(~happy(X)=>(~generous(X)&wise(X))))&
(![X]:(~quiet(X)<=>~old(X)))&
(![X]:((calm(X)|quiet(X))<=>~patient(X)))&
(![X]:((~calm(X)|~strong(X))=>(strong(X)<~>~humble(X))))&
(((~quiet(lucy)<~>curious(lucy)))=>(?[X]:((creative(X)<~>~rich(X)))))&
(![X]:((old(X)<~>funny(X))=>(tall(X)&funny(X))))&
((?[X]:((~calm(X)<~>old(... | generous(susan) | [] | null | 0 |
Everyone who is tall or humble is not tall.
Everyone who is both not strong and not humble is old or rich and vice versa.
Everyone who is not wise is strong and vice versa.
Everyone who is old or calm is not brave and vice versa.
If someone is both rich and kind then someone is both tall and not happy.
Everyone who is ... | Alice is old. | contradiction | (![X]:((tall(X)|humble(X))=>~tall(X)))&
(![X]:((~strong(X)&~humble(X))<=>(old(X)|rich(X))))&
(![X]:(~wise(X)<=>strong(X)))&
(![X]:((old(X)|calm(X))<=>~brave(X)))&
((?[X]:((rich(X)&kind(X))))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:(~tall(X)<=>(~strong(X)&~tall(X))))&
(![X]:((creative(X)<~>strong(X))<=>(happy(X)<~>~creati... | old(alice) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3291314161683108709856184
% SZS output start Proof for 3291314161683108709856184
1. ! [X0] : ((humble(X0) | tall(X0)) => ~tall(X0)) [input p0]
3. ! [X0] : (~wise(X0) <=> strong(X0)) [input p2]
4. ! [X0] : ((calm(X0) | old(X0)) <=> ~brave(X0)) [input p3]
6. ! [X0] : (~tall(X0) <=> (~tall(X... | 0 |
If mary is not funny or patient then someone is both patient and not quiet and vice versa.
Everyone who is not kind is old or not strong.
If fred is both not tall and curious then susan is wise and vice versa.
If someone is not rich or not humble then someone is either not rich or curious.
If someone is humble or not t... | John is happy. | contradiction | (((~funny(mary)|patient(mary)))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:(~kind(X)=>(old(X)|~strong(X))))&
(((~tall(fred)&curious(fred)))<=>(wise(susan)))&
((?[X]:((~rich(X)|~humble(X))))=>(?[X]:((~rich(X)<~>curious(X)))))&
((?[X]:((humble(X)|~tall(X))))<=>((strong(susan)&funny(susan))))&
(((~patient(paul)|tall(paul))... | happy(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 586803773051074754923735
% SZS output start Proof for 586803773051074754923735
21. ~happy(john) & ~patient(john) [input p20]
25. happy(john) [input hypothesis]
149. ~happy(john) [cnf transformation 21]
156. happy(john) [cnf transformation 25]
352. $false [subsumption resolution 156,149]
%... | 0 |
If someone is both not rich and kind then someone is either calm or not funny.
Everyone who is either happy or not quiet is not curious and vice versa.
Everyone who is both curious and not tall is both quiet and not old.
If alice is calm or tall then someone is not humble or not generous and vice versa.
Everyone who is... | John is happy. | neutral | ((?[X]:((~rich(X)&kind(X))))=>(?[X]:((calm(X)<~>~funny(X)))))&
(![X]:((happy(X)<~>~quiet(X))<=>~curious(X)))&
(![X]:((curious(X)&~tall(X))=>(quiet(X)&~old(X))))&
(((calm(alice)|tall(alice)))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~curious(X)<~>~brave(X))<=>~tall(X)))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:((hu... | happy(john) | [] | null | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not happy and not patient and vice versa. Everyone who is not tall or not calm is either not strong or curious and vice versa. If alice is not humble or humble then someone is either... | Susan is not brave. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~strong(X)<~>curious(X))))&
(((~humble(alice)|humble(alice)))<=>(?[X]:((~brave(X)<~>strong(X)))))&
(((~rich(fred)<~>~kind(fred)))<=>(?[X]:(tall(X))))&
(((~happy(alice)&~calm... | ~brave(susan) | [
"p6",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3813157902761845285945985
% SZS output start Proof for 3813157902761845285945985
7. ! [X0] : ((calm(X0) | ~funny(X0)) <=> (rich(X0) & happy(X0))) [input p6]
12. ! [X0] : ((~brave(X0) <~> happy(X0)) => (~brave(X0) <~> curious(X0))) [input p11]
14. ! [X0] : ((funny(X0) | creative(X0)) <=> (... | 0 |
Everyone who is brave or not quiet is both tall and calm and vice versa.
Everyone who is either not generous or not humble is both generous and humble and vice versa.
If someone is either not patient or not tall then susan is either not creative or quiet.
Everyone who is not creative is either not quiet or not happy.
E... | Susan is creative. | entailment | (![X]:((brave(X)|~quiet(X))<=>(tall(X)&calm(X))))&
(![X]:((~generous(X)<~>~humble(X))<=>(generous(X)&humble(X))))&
((?[X]:((~patient(X)<~>~tall(X))))=>((~creative(susan)<~>quiet(susan))))&
(![X]:(~creative(X)=>(~quiet(X)<~>~happy(X))))&
(![X]:((~calm(X)|strong(X))<=>(~humble(X)<~>rich(X))))&
(((funny(paul)&~creative(pa... | creative(susan) | [
"p0",
"p1",
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1738878306167040528701655
% SZS output start Proof for 1738878306167040528701655
1. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (calm(X0) & tall(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> ~humble(X0)) <=> (humble(X0) & generous(X0))) [input p1]
5. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (... | 0 |
Everyone who is either not happy or not generous is both tall and not tall and vice versa.
If paul is both humble and kind then alice is not strong.
If john is not brave or strong then john is not humble.
If lucy is either generous or patient then susan is not quiet or not old and vice versa.
If someone is either not b... | Fred is strong. | contradiction | (![X]:((~happy(X)<~>~generous(X))<=>(tall(X)&~tall(X))))&
(((humble(paul)&kind(paul)))=>(~strong(alice)))&
(((~brave(john)|strong(john)))=>(~humble(john)))&
(((generous(lucy)<~>patient(lucy)))<=>((~quiet(susan)|~old(susan))))&
((?[X]:((~brave(X)<~>~creative(X))))=>((~creative(susan)&wise(susan))))&
(![X]:(brave(X)=>(~f... | strong(fred) | [
"p5",
"p7",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1665999947054202693928018
% SZS output start Proof for 1665999947054202693928018
6. ! [X0] : (brave(X0) => (~strong(X0) & ~funny(X0))) [input p5]
8. ! [X0] : (~tall(X0) <=> (calm(X0) | funny(X0))) [input p7]
16. ? [X0] : (generous(X0) | tall(X0)) => (brave(fred) | calm(fred)) [input p15]
... | 0 |
If someone is not wise then someone is happy or not brave.
If mary is not brave or not wise then someone is quiet.
If fred is not creative then someone is either not curious or humble.
If alice is not patient or happy then someone is not rich and vice versa.
Everyone who is wise or not curious is either wise or brave a... | John is not wise. | entailment | ((?[X]:(~wise(X)))=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(mary)|~wise(mary)))=>(?[X]:(quiet(X))))&
((~creative(fred))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~patient(alice)|happy(alice)))<=>(?[X]:(~rich(X))))&
(![X]:((wise(X)|~curious(X))<=>(wise(X)<~>brave(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)<~>quiet(X)... | ~wise(john) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5959074926031438174155761
% SZS output start Proof for 5959074926031438174155761
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (wise(X0) <~> brave(X0))) [input p4]
10. ! [X0] : ((old(X0) | ~brave(X0)) <=> (~strong(X0) & brave(X0))) [input p9]
23. wise(john) [input hypothesis]
48. ! [X0] : ((... | 0 |
Everyone who is not rich or not generous is both brave and not old and vice versa.
Everyone who is not quiet is not tall or patient and vice versa.
Everyone who is both kind and not brave is both not quiet and calm.
If someone is either not happy or happy then fred is old and vice versa.
If john is calm then fred is st... | John is strong. | neutral | (![X]:((~rich(X)|~generous(X))<=>(brave(X)&~old(X))))&
(![X]:(~quiet(X)<=>(~tall(X)|patient(X))))&
(![X]:((kind(X)&~brave(X))=>(~quiet(X)&calm(X))))&
((?[X]:((~happy(X)<~>happy(X))))<=>(old(fred)))&
((calm(john))<=>((strong(fred)|~happy(fred))))&
((?[X]:((~quiet(X)&quiet(X))))=>(?[X]:((~funny(X)<~>~curious(X)))))&
(![X... | strong(john) | [] | null | 0 |
Everyone who is both not old and generous is both generous and happy and vice versa. Everyone who is not old or not patient is wise. If someone is both brave and wise then someone is both not calm and not brave and vice versa. If lucy is both humble and quiet then someone is both kind and calm and vice versa. Everyone ... | John is humble. | neutral | (![X]:((~old(X)&generous(X))<=>(generous(X)&happy(X))))&
(![X]:((~old(X)|~patient(X))=>wise(X)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(((humble(lucy)&quiet(lucy)))<=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)&~calm(X))))&
(![X]:((tall(X)|~humble(X))=>~patient(X)... | humble(john) | [] | null | 0 |
Everyone who is patient or kind is either not patient or generous and vice versa.
Everyone who is not humble is curious or creative and vice versa.
If mary is both not wise and generous then susan is not kind.
Everyone who is not wise or kind is not humble and vice versa.
Everyone who is either curious or not generous ... | Mary is happy. | neutral | (![X]:((patient(X)|kind(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(~humble(X)<=>(curious(X)|creative(X))))&
(((~wise(mary)&generous(mary)))=>(~kind(susan)))&
(![X]:((~wise(X)|kind(X))<=>~humble(X)))&
(![X]:((curious(X)<~>~generous(X))=>~tall(X)))&
(![X]:((wise(X)&~happy(X))=>~funny(X)))&
(![X]:((patient(X)&~funny(X))=... | happy(mary) | [] | null | 0 |
If someone is either not calm or humble then alice is both not strong and generous. Everyone who is either not quiet or not curious is rich. Everyone who is either not calm or patient is either not rich or humble and vice versa. Everyone who is either patient or kind is either not funny or not kind and vice versa. Ever... | John is not calm. | entailment | ((?[X]:((~calm(X)<~>humble(X))))=>((~strong(alice)&generous(alice))))&
(![X]:((~quiet(X)<~>~curious(X))=>rich(X)))&
(![X]:((~calm(X)<~>patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~funny(X)<~>~kind(X))))&
(![X]:(~patient(X)=>(~rich(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)<~>calm(X))))&... | ~calm(john) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6465331688542675437579267
% SZS output start Proof for 6465331688542675437579267
1. ? [X0] : (~calm(X0) <~> humble(X0)) => (generous(alice) & ~strong(alice)) [input p0]
3. ! [X0] : ((~calm(X0) <~> patient(X0)) <=> (~rich(X0) <~> humble(X0))) [input p2]
6. ! [X0] : (brave(X0) <=> (~wise(X0... | 0 |
Everyone who is not generous or brave is both humble and generous.
Everyone who is both rich and old is not rich or strong.
If someone is creative then someone is either brave or not calm and vice versa.
If someone is not humble or not funny then paul is both not patient and not rich.
If someone is both funny and not c... | Paul is creative. | neutral | (![X]:((~generous(X)|brave(X))=>(humble(X)&generous(X))))&
(![X]:((rich(X)&old(X))=>(~rich(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((brave(X)<~>~calm(X)))))&
((?[X]:((~humble(X)|~funny(X))))=>((~patient(paul)&~rich(paul))))&
((?[X]:((funny(X)&~curious(X))))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((humble(X)<~>t... | creative(paul) | [] | null | 0 |
Everyone who is either strong or kind is strong or patient.
If someone is funny or not generous then someone is both curious and not quiet and vice versa.
If susan is not strong or not kind then alice is both wise and not quiet and vice versa.
Everyone who is not calm or kind is humble or calm.
Everyone who is quiet or... | Mary is curious. | neutral | (![X]:((strong(X)<~>kind(X))=>(strong(X)|patient(X))))&
((?[X]:((funny(X)|~generous(X))))<=>(?[X]:((curious(X)&~quiet(X)))))&
(((~strong(susan)|~kind(susan)))<=>((wise(alice)&~quiet(alice))))&
(![X]:((~calm(X)|kind(X))=>(humble(X)|calm(X))))&
(![X]:((quiet(X)|~humble(X))=>(funny(X)<~>~patient(X))))&
(![X]:((~happy(X)<~... | curious(mary) | [] | null | 0 |
Everyone who is not brave or happy is both quiet and patient.
If mary is not kind or calm then someone is not brave or not wise.
Everyone who is not curious or calm is either strong or brave.
If someone is happy then someone is either happy or not old.
Everyone who is either funny or creative is not quiet.
If someone i... | Fred is not rich. | neutral | (![X]:((~brave(X)|happy(X))=>(quiet(X)&patient(X))))&
(((~kind(mary)|calm(mary)))=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:((~curious(X)|calm(X))=>(strong(X)<~>brave(X))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)<~>~old(X)))))&
(![X]:((funny(X)<~>creative(X))=>~quiet(X)))&
((?[X]:(tall(X)))<=>(?[X]:((~calm(X)|~quiet(X)))))&... | ~rich(fred) | [] | null | 0 |
If john is both not strong and not creative then mary is calm or not creative.
If lucy is both not kind and not brave then fred is not rich or quiet.
If someone is wise then someone is not strong or not humble.
Everyone who is both brave and strong is either curious or tall and vice versa.
Everyone who is not rich or h... | Lucy is not strong. | entailment | (((~strong(john)&~creative(john)))=>((calm(mary)|~creative(mary))))&
(((~kind(lucy)&~brave(lucy)))=>((~rich(fred)|quiet(fred))))&
((?[X]:(wise(X)))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((brave(X)&strong(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~rich(X)|happy(X))=>~quiet(X)))&
((?[X]:((~generous(X)&happy(X))))=>(?[X... | ~strong(lucy) | [
"p4",
"p7",
"p8",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4814724012569938726474555
% SZS output start Proof for 4814724012569938726474555
5. ! [X0] : ((happy(X0) | ~rich(X0)) => ~quiet(X0)) [input p4]
8. ! [X0] : (~happy(X0) <=> ~strong(X0)) [input p7]
9. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (~strong(X0) & ~kind(X0))) [input p8]
12. ? [X0] : ... | 0 |
Everyone who is kind or not funny is both not rich and humble and vice versa.
Everyone who is not calm or not creative is either not calm or wise.
Everyone who is tall or calm is either not tall or not creative.
If john is wise then someone is both not strong and wise.
Everyone who is both creative and wise is strong o... | Alice is not brave. | entailment | (![X]:((kind(X)|~funny(X))<=>(~rich(X)&humble(X))))&
(![X]:((~calm(X)|~creative(X))=>(~calm(X)<~>wise(X))))&
(![X]:((tall(X)|calm(X))=>(~tall(X)<~>~creative(X))))&
((wise(john))=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((creative(X)&wise(X))=>(strong(X)|~wise(X))))&
(![X]:((~rich(X)&~old(X))<=>(~strong(X)|strong(X))))&
(... | ~brave(alice) | [
"p1",
"p5",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8888882277526414441976018
% SZS output start Proof for 8888882277526414441976018
2. ! [X0] : ((~creative(X0) | ~calm(X0)) => (~calm(X0) <~> wise(X0))) [input p1]
6. ! [X0] : ((~old(X0) & ~rich(X0)) <=> (strong(X0) | ~strong(X0))) [input p5]
11. (strong(john) & funny(john)) <=> ? [X0] : ~s... | 0 |
Everyone who is either not creative or not wise is both not quiet and calm.
If someone is generous or funny then fred is both not rich and happy and vice versa.
Everyone who is patient is quiet.
Everyone who is not humble or old is either calm or not strong.
If alice is both happy and tall then john is either calm or n... | Lucy is patient. | neutral | (![X]:((~creative(X)<~>~wise(X))=>(~quiet(X)&calm(X))))&
((?[X]:((generous(X)|funny(X))))<=>((~rich(fred)&happy(fred))))&
(![X]:(patient(X)=>quiet(X)))&
(![X]:((~humble(X)|old(X))=>(calm(X)<~>~strong(X))))&
(((happy(alice)&tall(alice)))=>((calm(john)<~>~generous(john))))&
(![X]:((calm(X)|~humble(X))=>~curious(X)))&
(((... | patient(lucy) | [] | null | 0 |
Everyone who is either not generous or happy is brave or quiet.
If someone is not patient then john is both not rich and rich and vice versa.
If fred is not quiet or wise then john is not rich or funny and vice versa.
Everyone who is either rich or happy is strong or humble.
Everyone who is both curious and not quiet i... | Fred is not tall. | neutral | (![X]:((~generous(X)<~>happy(X))=>(brave(X)|quiet(X))))&
((?[X]:(~patient(X)))<=>((~rich(john)&rich(john))))&
(((~quiet(fred)|wise(fred)))<=>((~rich(john)|funny(john))))&
(![X]:((rich(X)<~>happy(X))=>(strong(X)|humble(X))))&
(![X]:((curious(X)&~quiet(X))=>(~old(X)|wise(X))))&
(![X]:((creative(X)|~calm(X))=>(brave(X)|ha... | ~tall(fred) | [] | null | 0 |
Everyone who is either not creative or not brave is funny or not strong. If someone is kind then susan is not calm or kind and vice versa. Everyone who is not creative is either brave or not happy. If susan is either not wise or not tall then fred is both not rich and generous. Everyone who is not humble is not old or ... | John is rich. | neutral | (![X]:((~creative(X)<~>~brave(X))=>(funny(X)|~strong(X))))&
((?[X]:(kind(X)))<=>((~calm(susan)|kind(susan))))&
(![X]:(~creative(X)=>(brave(X)<~>~happy(X))))&
(((~wise(susan)<~>~tall(susan)))=>((~rich(fred)&generous(fred))))&
(![X]:(~humble(X)=>(~old(X)|~wise(X))))&
(((~rich(fred)|~strong(fred)))<=>(?[X]:((creative(X)&p... | rich(john) | [] | null | 0 |
If lucy is both wise and patient then someone is either old or strong.
Everyone who is either not wise or quiet is both not old and patient and vice versa.
If someone is happy then paul is not wise or strong.
If susan is brave or humble then someone is humble or rich and vice versa.
If someone is old then lucy is both ... | Fred is not brave. | entailment | (((wise(lucy)&patient(lucy)))=>(?[X]:((old(X)<~>strong(X)))))&
(![X]:((~wise(X)<~>quiet(X))<=>(~old(X)&patient(X))))&
((?[X]:(happy(X)))=>((~wise(paul)|strong(paul))))&
(((brave(susan)|humble(susan)))<=>(?[X]:((humble(X)|rich(X)))))&
((?[X]:(old(X)))<=>((patient(lucy)&wise(lucy))))&
(![X]:(curious(X)=>(rich(X)<~>~gener... | ~brave(fred) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4845747939119939119811339
% SZS output start Proof for 4845747939119939119811339
10. (~brave(fred) & ~curious(fred)) <=> ? [X0] : (~rich(X0) | creative(X0)) [input p9]
15. ? [X0] : (creative(X0) | brave(X0)) => (creative(paul) & ~quiet(paul)) [input p14]
21. brave(fred) [input hypothesis]... | 0 |
If john is either calm or generous then lucy is not brave and vice versa.
If susan is both old and quiet then alice is either curious or creative and vice versa.
Everyone who is both not generous and happy is both not tall and brave.
If someone is not generous then someone is both tall and not strong and vice versa.
Ev... | Susan is not tall. | contradiction | (((calm(john)<~>generous(john)))<=>(~brave(lucy)))&
(((old(susan)&quiet(susan)))<=>((curious(alice)<~>creative(alice))))&
(![X]:((~generous(X)&happy(X))=>(~tall(X)&brave(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((tall(X)&~strong(X)))))&
(![X]:(happy(X)<=>~tall(X)))&
((?[X]:((rich(X)&tall(X))))=>((~happy(john)<~>quiet(john... | ~tall(susan) | [
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 764148100587562121457314
% SZS output start Proof for 764148100587562121457314
5. ! [X0] : (happy(X0) <=> ~tall(X0)) [input p4]
10. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> ~calm(X0)) [input p9]
16. ! [X0] : ((~brave(X0) & ~calm(X0)) <=> (tall(X0) | calm(X0))) [input p15]
24. ~tall(susan) ... | 0 |
If someone is both kind and not happy then mary is both not humble and not strong and vice versa. Everyone who is rich or humble is patient and vice versa. If lucy is both funny and not creative then someone is either not quiet or wise and vice versa. If john is not wise then mary is both not funny and patient and vice... | Susan is generous. | neutral | ((?[X]:((kind(X)&~happy(X))))<=>((~humble(mary)&~strong(mary))))&
(![X]:((rich(X)|humble(X))<=>patient(X)))&
(((funny(lucy)&~creative(lucy)))<=>(?[X]:((~quiet(X)<~>wise(X)))))&
((~wise(john))<=>((~funny(mary)&patient(mary))))&
(![X]:((~old(X)&~generous(X))=>(calm(X)&~patient(X))))&
(![X]:((generous(X)&~funny(X))<=>(~qu... | generous(susan) | [] | null | 0 |
Everyone who is funny or brave is either tall or patient.
Everyone who is not wise or not strong is both funny and not strong and vice versa.
If someone is generous then paul is both patient and not strong.
Everyone who is both not happy and not humble is both not happy and rich and vice versa.
Everyone who is both hap... | Alice is calm. | neutral | (![X]:((funny(X)|brave(X))=>(tall(X)<~>patient(X))))&
(![X]:((~wise(X)|~strong(X))<=>(funny(X)&~strong(X))))&
((?[X]:(generous(X)))=>((patient(paul)&~strong(paul))))&
(![X]:((~happy(X)&~humble(X))<=>(~happy(X)&rich(X))))&
(![X]:((happy(X)&brave(X))=>(kind(X)<~>~humble(X))))&
((~patient(lucy))=>(quiet(paul)))&
((?[X]:((... | calm(alice) | [] | null | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa. If john is both happy and not funny then someone is both quiet and patient and vice versa. Everyone who is patient is both not funny and tall and vice versa. If lucy is not kind or patient then someone is both kind and wise. Everyon... | Mary is patient. | contradiction | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
(((happy(john)&~funny(john)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(patient(X)<=>(~funny(X)&tall(X))))&
(((~kind(lucy)|patient(lucy)))=>(?[X]:((kind(X)&wise(X)))))&
(![X]:((humble(X)&~curious(X))<=>~happy(X)))&
((?[X]:(~patient(X)))=>(?[X]:((hu... | patient(mary) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8331532772316786477357914
% SZS output start Proof for 8331532772316786477357914
3. ! [X0] : (patient(X0) <=> (tall(X0) & ~funny(X0))) [input p2]
23. ~patient(mary) <~> ~tall(mary) [input p22]
24. patient(mary) [input hypothesis]
49. ! [X0] : ((patient(X0) | (~tall(X0) | funny(X0))) & ((t... | 0 |
If john is not funny then paul is calm or not old. Everyone who is curious or patient is old or curious and vice versa. Everyone who is either not creative or funny is generous and vice versa. Everyone who is humble is both calm and not humble. If someone is not generous or patient then susan is not tall and vice versa... | Lucy is curious. | neutral | ((~funny(john))=>((calm(paul)|~old(paul))))&
(![X]:((curious(X)|patient(X))<=>(old(X)|curious(X))))&
(![X]:((~creative(X)<~>funny(X))<=>generous(X)))&
(![X]:(humble(X)=>(calm(X)&~humble(X))))&
((?[X]:((~generous(X)|patient(X))))<=>(~tall(susan)))&
((?[X]:((tall(X)&kind(X))))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((?[... | curious(lucy) | [] | null | 0 |
If someone is both not old and not creative then fred is old or humble and vice versa.
Everyone who is not curious or creative is both not funny and not creative and vice versa.
Everyone who is not creative is both patient and humble.
Everyone who is both not rich and not tall is either kind or not quiet and vice versa... | Susan is not humble. | contradiction | ((?[X]:((~old(X)&~creative(X))))<=>((old(fred)|humble(fred))))&
(![X]:((~curious(X)|creative(X))<=>(~funny(X)&~creative(X))))&
(![X]:(~creative(X)=>(patient(X)&humble(X))))&
(![X]:((~rich(X)&~tall(X))<=>(kind(X)<~>~quiet(X))))&
(![X]:((rich(X)<~>tall(X))<=>(kind(X)&~curious(X))))&
((?[X]:((~kind(X)|happy(X))))<=>((~wis... | ~humble(susan) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1494625551154888004601250
% SZS output start Proof for 1494625551154888004601250
2. ! [X0] : ((creative(X0) | ~curious(X0)) <=> (~creative(X0) & ~funny(X0))) [input p1]
3. ! [X0] : (~creative(X0) => (humble(X0) & patient(X0))) [input p2]
23. ~humble(susan) [input hypothesis]
25. ! [X0] : ... | 0 |
Everyone who is not kind or not wise is not creative and vice versa. If mary is either strong or humble then john is either not quiet or not patient. If someone is humble then susan is not kind or not calm and vice versa. Everyone who is kind or not rich is both not patient and not happy. Everyone who is strong or not ... | John is not humble. | neutral | (![X]:((~kind(X)|~wise(X))<=>~creative(X)))&
(((strong(mary)<~>humble(mary)))=>((~quiet(john)<~>~patient(john))))&
((?[X]:(humble(X)))<=>((~kind(susan)|~calm(susan))))&
(![X]:((kind(X)|~rich(X))=>(~patient(X)&~happy(X))))&
(![X]:((strong(X)|~wise(X))=>(~humble(X)&~calm(X))))&
(![X]:((~rich(X)|~funny(X))<=>rich(X)))&
((... | ~humble(john) | [] | null | 0 |
Everyone who is funny is both patient and kind and vice versa.
Everyone who is either curious or not generous is not happy or not funny and vice versa.
If fred is not funny or not tall then lucy is not curious or calm and vice versa.
If paul is either curious or rich then someone is both curious and not humble and vice... | Mary is not rich. | neutral | (![X]:(funny(X)<=>(patient(X)&kind(X))))&
(![X]:((curious(X)<~>~generous(X))<=>(~happy(X)|~funny(X))))&
(((~funny(fred)|~tall(fred)))<=>((~curious(lucy)|calm(lucy))))&
(((curious(paul)<~>rich(paul)))<=>(?[X]:((curious(X)&~humble(X)))))&
(![X]:(~rich(X)=>(~funny(X)<~>~rich(X))))&
(![X]:((wise(X)|old(X))<=>(~strong(X)|~c... | ~rich(mary) | [] | null | 0 |
If someone is not curious or not humble then someone is both kind and not strong.
Everyone who is both not funny and not happy is not wise or not tall.
If mary is both curious and not creative then someone is either not kind or not calm and vice versa.
If someone is both wise and not calm then susan is not curious.
If ... | Mary is not creative. | neutral | ((?[X]:((~curious(X)|~humble(X))))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((~funny(X)&~happy(X))=>(~wise(X)|~tall(X))))&
(((curious(mary)&~creative(mary)))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
((?[X]:((wise(X)&~calm(X))))=>(~curious(susan)))&
((?[X]:((quiet(X)<~>rich(X))))=>((~calm(alice)|kind(alice))))&
((?[X]:((creativ... | ~creative(mary) | [] | null | 0 |
Everyone who is either not wise or not generous is wise and vice versa.
If someone is not strong then paul is not wise and vice versa.
If someone is tall then someone is both not old and patient and vice versa.
If someone is quiet then someone is both not rich and rich and vice versa.
Everyone who is tall or funny is b... | Paul is wise. | entailment | (![X]:((~wise(X)<~>~generous(X))<=>wise(X)))&
((?[X]:(~strong(X)))<=>(~wise(paul)))&
((?[X]:(tall(X)))<=>(?[X]:((~old(X)&patient(X)))))&
((?[X]:(quiet(X)))<=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((tall(X)|funny(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((~strong(X)<~>generous(X))))<=>((generous(paul)&~tall(paul))))&
(((~crea... | wise(paul) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6901014328298987661686546
% SZS output start Proof for 6901014328298987661686546
1. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> wise(X0)) [input p0]
2. ? [X0] : ~strong(X0) <=> ~wise(paul) [input p1]
6. ? [X0] : (~strong(X0) <~> generous(X0)) <=> (~tall(paul) & generous(paul)) [input p5]
... | 0 |
Everyone who is not wise or not quiet is wise.
If lucy is happy then someone is both not calm and not quiet and vice versa.
Everyone who is not kind is either quiet or not brave.
Everyone who is not kind is not old and vice versa.
If paul is either wise or not patient then someone is either not wise or funny.
If paul i... | Alice is not wise. | contradiction | (![X]:((~wise(X)|~quiet(X))=>wise(X)))&
((happy(lucy))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(~kind(X)=>(quiet(X)<~>~brave(X))))&
(![X]:(~kind(X)<=>~old(X)))&
(((wise(paul)<~>~patient(paul)))=>(?[X]:((~wise(X)<~>funny(X)))))&
((~wise(paul))=>(?[X]:((~old(X)|~tall(X)))))&
(((rich(fred)|creative(fred)))=>(?[X]:((~old(X... | ~wise(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 835484220226046697495779
% SZS output start Proof for 835484220226046697495779
1. ! [X0] : ((~quiet(X0) | ~wise(X0)) => wise(X0)) [input p0]
25. ~wise(alice) [input hypothesis]
27. ! [X0] : (wise(X0) | (quiet(X0) & wise(X0))) [ennf transformation 1]
81. wise(X0) | wise(X0) [cnf transforma... | 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... | Susan is not kind. | contradiction | ((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)|... | ~kind(susan) | [
"p1",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7769654484112873989338942
% SZS output start Proof for 7769654484112873989338942
2. ! [X0] : (~wise(X0) => ~funny(X0)) [input p1]
7. ! [X0] : ((creative(X0) | quiet(X0)) <=> (~old(X0) & ~rich(X0))) [input p6]
8. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (wise(X0) | quiet(X0))) [input p7]
11. ... | 0 |
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