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 generous or not quiet is both kind and generous and vice versa.
If mary is not creative then fred is both humble and strong and vice versa.
If someone is both not strong and curious then someone is either not generous or not strong.
If someone is not tall or not strong then fred is not generous.
Everyon... | John is not funny. | neutral | (![X]:((generous(X)|~quiet(X))<=>(kind(X)&generous(X))))&
((~creative(mary))<=>((humble(fred)&strong(fred))))&
((?[X]:((~strong(X)&curious(X))))=>(?[X]:((~generous(X)<~>~strong(X)))))&
((?[X]:((~tall(X)|~strong(X))))=>(~generous(fred)))&
(![X]:((generous(X)|old(X))<=>(brave(X)&curious(X))))&
(![X]:(~old(X)<=>(~strong(X... | ~funny(john) | [] | null | 0 |
Everyone who is both not patient and happy is funny and vice versa.
If someone is not strong or tall then paul is not humble or not happy.
If someone is either wise or creative then someone is both happy and wise and vice versa.
Everyone who is both tall and not funny is both wise and not strong.
Everyone who is both n... | Fred is calm. | entailment | (![X]:((~patient(X)&happy(X))<=>funny(X)))&
((?[X]:((~strong(X)|tall(X))))=>((~humble(paul)|~happy(paul))))&
((?[X]:((wise(X)<~>creative(X))))<=>(?[X]:((happy(X)&wise(X)))))&
(![X]:((tall(X)&~funny(X))=>(wise(X)&~strong(X))))&
(![X]:((~curious(X)&~tall(X))=>(~patient(X)|~creative(X))))&
(![X]:(~tall(X)<=>(kind(X)|tall(... | calm(fred) | [
"p0",
"p5",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1826134670672907689749790
% SZS output start Proof for 1826134670672907689749790
1. ! [X0] : ((happy(X0) & ~patient(X0)) <=> funny(X0)) [input p0]
6. ! [X0] : (~tall(X0) <=> (tall(X0) | kind(X0))) [input p5]
12. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (calm(X0) | ~funny(X0))) [input p11... | 0 |
Everyone who is patient or not creative is kind or creative and vice versa.
If alice is not calm or curious then someone is not curious or not old and vice versa.
Everyone who is humble is either not tall or not old.
If someone is not old then someone is either not brave or quiet and vice versa.
Everyone who is old is ... | Susan is brave. | contradiction | (![X]:((patient(X)|~creative(X))<=>(kind(X)|creative(X))))&
(((~calm(alice)|curious(alice)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:(... | brave(susan) | [
"p0",
"p5",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 337460711946004327320012
% SZS output start Proof for 337460711946004327320012
1. ! [X0] : ((~creative(X0) | patient(X0)) <=> (creative(X0) | kind(X0))) [input p0]
6. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & quiet(X0))) [input p5]
11. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (kin... | 0 |
Everyone who is either generous or not old is not brave or tall and vice versa.
If someone is old or not happy then someone is not generous.
If paul is both quiet and funny then susan is not funny or not brave and vice versa.
If alice is not curious or not tall then fred is both rich and brave.
If someone is either tal... | Paul is rich. | neutral | (![X]:((generous(X)<~>~old(X))<=>(~brave(X)|tall(X))))&
((?[X]:((old(X)|~happy(X))))=>(?[X]:(~generous(X))))&
(((quiet(paul)&funny(paul)))<=>((~funny(susan)|~brave(susan))))&
(((~curious(alice)|~tall(alice)))=>((rich(fred)&brave(fred))))&
((?[X]:((tall(X)<~>~creative(X))))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
((?[X]:(... | rich(paul) | [] | null | 0 |
If someone is quiet then paul is either happy or tall and vice versa.
Everyone who is either old or not curious is patient and vice versa.
If lucy is not tall then fred is both not calm and rich and vice versa.
Everyone who is either brave or not calm is humble or wise and vice versa.
Everyone who is either not rich or... | Fred is not creative. | neutral | ((?[X]:(quiet(X)))<=>((happy(paul)<~>tall(paul))))&
(![X]:((old(X)<~>~curious(X))<=>patient(X)))&
((~tall(lucy))<=>((~calm(fred)&rich(fred))))&
(![X]:((brave(X)<~>~calm(X))<=>(humble(X)|wise(X))))&
(![X]:((~rich(X)<~>happy(X))=>(~patient(X)<~>~humble(X))))&
(((~wise(paul)&creative(paul)))=>((rich(mary)&curious(mary))))... | ~creative(fred) | [] | null | 0 |
Everyone who is either not patient or curious is generous.
If someone is not calm or brave then someone is either not humble or quiet.
Everyone who is not patient is curious and vice versa.
Everyone who is either generous or strong is brave.
If paul is both not calm and not humble then someone is not old or not humble.... | Mary is not rich. | entailment | (![X]:((~patient(X)<~>curious(X))=>generous(X)))&
((?[X]:((~calm(X)|brave(X))))=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~patient(X)<=>curious(X)))&
(![X]:((generous(X)<~>strong(X))=>brave(X)))&
(((~calm(paul)&~humble(paul)))=>(?[X]:((~old(X)|~humble(X)))))&
(![X]:((kind(X)<~>~curious(X))<=>(~calm(X)&~patient(X))))&
... | ~rich(mary) | [
"p9",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7094706485606584453963256
% SZS output start Proof for 7094706485606584453963256
10. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> rich(X0)) [input p9]
12. ! [X0] : ((calm(X0) & humble(X0)) <=> ~calm(X0)) [input p11]
21. humble(mary) | kind(mary) [input p20]
23. rich(mary) [input hypothesis]
48. ... | 0 |
If paul is either not funny or not rich then someone is not curious.
If mary is wise then john is not wise or not tall.
Everyone who is either not curious or patient is old or not kind.
Everyone who is not happy is both not strong and not patient.
Everyone who is both brave and happy is not creative and vice versa.
If ... | John is not wise. | neutral | (((~funny(paul)<~>~rich(paul)))=>(?[X]:(~curious(X))))&
((wise(mary))=>((~wise(john)|~tall(john))))&
(![X]:((~curious(X)<~>patient(X))=>(old(X)|~kind(X))))&
(![X]:(~happy(X)=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~... | ~wise(john) | [] | null | 0 |
Everyone who is tall is both generous and not happy and vice versa.
If alice is either kind or happy then someone is patient or not generous and vice versa.
If alice is brave or humble then someone is strong.
If someone is happy or curious then mary is both patient and humble.
Everyone who is either wise or not humble ... | Paul is patient. | contradiction | (![X]:(tall(X)<=>(generous(X)&~happy(X))))&
(((kind(alice)<~>happy(alice)))<=>(?[X]:((patient(X)|~generous(X)))))&
(((brave(alice)|humble(alice)))=>(?[X]:(strong(X))))&
((?[X]:((happy(X)|curious(X))))=>((patient(mary)&humble(mary))))&
(![X]:((wise(X)<~>~humble(X))<=>(~generous(X)<~>~wise(X))))&
(![X]:(~calm(X)<=>old(X)... | patient(paul) | [
"p7",
"p9",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4437279178605299924943240
% SZS output start Proof for 4437279178605299924943240
8. ! [X0] : ((rich(X0) | quiet(X0)) => (~wise(X0) & ~kind(X0))) [input p7]
10. ! [X0] : ((brave(X0) <~> kind(X0)) <=> (~wise(X0) | ~generous(X0))) [input p9]
14. ! [X0] : ((~quiet(X0) & strong(X0)) <=> (patie... | 0 |
If someone is either strong or not wise then mary is creative.
Everyone who is both funny and strong is curious or not rich and vice versa.
If alice is wise then someone is rich or not quiet.
Everyone who is either kind or not old is either curious or not wise and vice versa.
Everyone who is not calm or wise is either ... | Alice is quiet. | contradiction | ((?[X]:((strong(X)<~>~wise(X))))=>(creative(mary)))&
(![X]:((funny(X)&strong(X))<=>(curious(X)|~rich(X))))&
((wise(alice))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((kind(X)<~>~old(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|wise(X))<=>(quiet(X)<~>calm(X))))&
(![X]:((~humble(X)&~kind(X))<=>(~wise(X)<~>strong(X))))&
... | quiet(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7091624171966356827407775
% SZS output start Proof for 7091624171966356827407775
11. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~brave(X0) & ~tall(X0))) [input p10]
12. ! [X0] : (tall(X0) <=> (quiet(X0) | rich(X0))) [input p11]
18. quiet(alice) [input hypothesis]
45. ! [X0] : ((((~ge... | 0 |
Everyone who is either generous or tall is quiet or funny. Everyone who is not old is quiet. If susan is not happy then john is rich. If someone is strong then someone is both not happy and creative and vice versa. Everyone who is not patient is both quiet and not tall and vice versa. Everyone who is either not patient... | John is not rich. | neutral | (![X]:((generous(X)<~>tall(X))=>(quiet(X)|funny(X))))&
(![X]:(~old(X)=>quiet(X)))&
((~happy(susan))=>(rich(john)))&
((?[X]:(strong(X)))<=>(?[X]:((~happy(X)&creative(X)))))&
(![X]:(~patient(X)<=>(quiet(X)&~tall(X))))&
(![X]:((~patient(X)<~>~generous(X))<=>(happy(X)|~happy(X))))&
(((curious(susan)&patient(susan)))=>(?[X]... | ~rich(john) | [] | null | 0 |
If fred is either not wise or not brave then someone is either not strong or not curious and vice versa.
Everyone who is tall or not old is not curious and vice versa.
If lucy is both rich and not kind then paul is not kind or rich and vice versa.
Everyone who is both tall and not humble is not old or wise.
Everyone wh... | Fred is old. | entailment | (((~wise(fred)<~>~brave(fred)))<=>(?[X]:((~strong(X)<~>~curious(X)))))&
(![X]:((tall(X)|~old(X))<=>~curious(X)))&
(((rich(lucy)&~kind(lucy)))<=>((~kind(paul)|rich(paul))))&
(![X]:((tall(X)&~humble(X))=>(~old(X)|wise(X))))&
(![X]:((generous(X)<~>~wise(X))=>(~brave(X)<~>generous(X))))&
(![X]:(old(X)<=>(~wise(X)<~>wise(X)... | old(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 304861900714545981794466
% SZS output start Proof for 304861900714545981794466
6. ! [X0] : (old(X0) <=> (~wise(X0) <~> wise(X0))) [input p5]
23. ~old(fred) [input hypothesis]
44. ! [X0] : ((old(X0) | ((~wise(X0) | ~wise(X0)) & (wise(X0) | wise(X0)))) & (((~wise(X0) | wise(X0)) & (wise(X0)... | 0 |
If someone is both not humble and not rich then lucy is not wise or not funny.
If susan is both not creative and generous then someone is patient.
Everyone who is creative or rich is either creative or not funny and vice versa.
If john is calm then someone is patient and vice versa.
Everyone who is curious or not quiet... | Lucy is not rich. | neutral | ((?[X]:((~humble(X)&~rich(X))))=>((~wise(lucy)|~funny(lucy))))&
(((~creative(susan)&generous(susan)))=>(?[X]:(patient(X))))&
(![X]:((creative(X)|rich(X))<=>(creative(X)<~>~funny(X))))&
((calm(john))<=>(?[X]:(patient(X))))&
(![X]:((curious(X)|~quiet(X))<=>(tall(X)|~generous(X))))&
(![X]:((tall(X)&~kind(X))<=>(~patient(X... | ~rich(lucy) | [] | null | 0 |
Everyone who is not wise or brave is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone i... | Alice is not brave. | neutral | (![X]:((~wise(X)|brave(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~brave(alice) | [] | null | 0 |
Everyone who is either not calm or quiet is both old and kind.
Everyone who is either creative or not creative is both patient and not curious.
If paul is both rich and not brave then mary is both not old and generous and vice versa.
Everyone who is brave is humble or calm.
If fred is both quiet and patient then someon... | John is generous. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&kind(X))))&
(![X]:((creative(X)<~>~creative(X))=>(patient(X)&~curious(X))))&
(((rich(paul)&~brave(paul)))<=>((~old(mary)&generous(mary))))&
(![X]:(brave(X)=>(humble(X)|calm(X))))&
(((quiet(fred)&patient(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((wise(X)|~kind(X))<=>(rich(X)... | generous(john) | [] | null | 0 |
If someone is either not funny or not generous then john is not tall or happy and vice versa.
If fred is either not tall or rich then someone is both not wise and not happy.
Everyone who is not wise or not brave is both not patient and not creative.
If alice is tall or generous then someone is both not tall and creativ... | Alice is not kind. | contradiction | ((?[X]:((~funny(X)<~>~generous(X))))<=>((~tall(john)|happy(john))))&
(((~tall(fred)<~>rich(fred)))=>(?[X]:((~wise(X)&~happy(X)))))&
(![X]:((~wise(X)|~brave(X))=>(~patient(X)&~creative(X))))&
(((tall(alice)|generous(alice)))=>(?[X]:((~tall(X)&creative(X)))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:(quiet(X))))&
(((tall(j... | ~kind(alice) | [
"p2",
"p11",
"p12",
"p13",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8700786445726591995115104
% SZS output start Proof for 8700786445726591995115104
3. ! [X0] : ((~brave(X0) | ~wise(X0)) => (~creative(X0) & ~patient(X0))) [input p2]
12. kind(alice) <=> ? [X0] : (~creative(X0) & ~wise(X0)) [input p11]
13. ! [X0] : (calm(X0) <=> (patient(X0) | ~kind(X0))) [... | 0 |
Everyone who is quiet is not old and vice versa.
If john is both calm and not calm then lucy is not wise.
If someone is both not patient and kind then mary is either not calm or not wise.
Everyone who is not funny or not generous is both happy and brave.
Everyone who is kind or not wise is either not tall or not genero... | Alice is funny. | contradiction | (![X]:(quiet(X)<=>~old(X)))&
(((calm(john)&~calm(john)))=>(~wise(lucy)))&
((?[X]:((~patient(X)&kind(X))))=>((~calm(mary)<~>~wise(mary))))&
(![X]:((~funny(X)|~generous(X))=>(happy(X)&brave(X))))&
(![X]:((kind(X)|~wise(X))=>(~tall(X)<~>~generous(X))))&
(![X]:(~humble(X)=>(strong(X)<~>creative(X))))&
(![X]:((kind(X)|~wise... | funny(alice) | [
"p0",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1789398925321023674948155
% SZS output start Proof for 1789398925321023674948155
1. ! [X0] : (quiet(X0) <=> ~old(X0)) [input p0]
12. ! [X0] : (old(X0) <=> (happy(X0) | quiet(X0))) [input p11]
17. ~old(alice) | ~funny(alice) [input p16]
19. funny(alice) [input hypothesis]
33. ! [X0] : ((qu... | 0 |
Everyone who is either not old or tall is both brave and not kind and vice versa.
Everyone who is either funny or not old is old.
If fred is wise then someone is either generous or not strong and vice versa.
Everyone who is both not quiet and strong is both not humble and curious and vice versa.
If someone is not calm ... | Paul is brave. | neutral | (![X]:((~old(X)<~>tall(X))<=>(brave(X)&~kind(X))))&
(![X]:((funny(X)<~>~old(X))=>old(X)))&
((wise(fred))<=>(?[X]:((generous(X)<~>~strong(X)))))&
(![X]:((~quiet(X)&strong(X))<=>(~humble(X)&curious(X))))&
((?[X]:((~calm(X)|~strong(X))))<=>(?[X]:((tall(X)&~generous(X)))))&
(![X]:(~strong(X)<=>(~wise(X)|quiet(X))))&
((?[X]... | brave(paul) | [] | null | 0 |
If someone is either kind or not calm then someone is both humble and not happy and vice versa.
If someone is both not tall and not happy then paul is both funny and not humble and vice versa.
Everyone who is not humble is either creative or not calm.
Everyone who is both patient and happy is both tall and happy.
Every... | Paul is kind. | entailment | ((?[X]:((kind(X)<~>~calm(X))))<=>(?[X]:((humble(X)&~happy(X)))))&
((?[X]:((~tall(X)&~happy(X))))<=>((funny(paul)&~humble(paul))))&
(![X]:(~humble(X)=>(creative(X)<~>~calm(X))))&
(![X]:((patient(X)&happy(X))=>(tall(X)&happy(X))))&
(![X]:(generous(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((strong(X)<~>~generous(X))))<=>((~... | kind(paul) | [
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5870151978340153116551389
% SZS output start Proof for 5870151978340153116551389
5. ! [X0] : (generous(X0) <=> (quiet(X0) | ~generous(X0))) [input p4]
11. ? [X0] : (~kind(X0) | humble(X0)) <=> ? [X0] : (~quiet(X0) | ~curious(X0)) [input p10]
14. ! [X0] : (curious(X0) <=> generous(X0)) [in... | 0 |
Everyone who is not brave is tall. If someone is both tall and not humble then mary is calm. If someone is not rich or not humble then john is tall or patient and vice versa. Everyone who is both not wise and not quiet is not funny. Everyone who is old or not strong is both kind and generous. Everyone who is either not... | Susan is not wise. | neutral | (![X]:(~brave(X)=>tall(X)))&
((?[X]:((tall(X)&~humble(X))))=>(calm(mary)))&
((?[X]:((~rich(X)|~humble(X))))<=>((tall(john)|patient(john))))&
(![X]:((~wise(X)&~quiet(X))=>~funny(X)))&
(![X]:((old(X)|~strong(X))=>(kind(X)&generous(X))))&
(![X]:((~patient(X)<~>wise(X))<=>(strong(X)&~wise(X))))&
((?[X]:((old(X)&~calm(X))))... | ~wise(susan) | [] | null | 0 |
If someone is either not happy or not quiet then susan is both not old and kind and vice versa. If lucy is quiet or not tall then someone is not tall or not strong. Everyone who is not kind or not creative is not calm. If someone is calm or not funny then alice is not quiet or not kind and vice versa. Everyone who is b... | Alice is wise. | entailment | ((?[X]:((~happy(X)<~>~quiet(X))))<=>((~old(susan)&kind(susan))))&
(((quiet(lucy)|~tall(lucy)))=>(?[X]:((~tall(X)|~strong(X)))))&
(![X]:((~kind(X)|~creative(X))=>~calm(X)))&
((?[X]:((calm(X)|~funny(X))))<=>((~quiet(alice)|~kind(alice))))&
(![X]:((strong(X)&rich(X))<=>(brave(X)<~>curious(X))))&
(![X]:(generous(X)=>(calm(... | wise(alice) | [
"p3",
"p8",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2690838303129315681577241
% SZS output start Proof for 2690838303129315681577241
4. ? [X0] : (~funny(X0) | calm(X0)) <=> (~kind(alice) | ~quiet(alice)) [input p3]
9. ! [X0] : ((~humble(X0) <~> humble(X0)) => (kind(X0) & happy(X0))) [input p8]
14. ? [X0] : (~quiet(X0) <~> wise(X0)) => (hap... | 0 |
Everyone who is both curious and not old is happy. Everyone who is not tall is not patient. If lucy is not strong then mary is funny and vice versa. Everyone who is kind or not quiet is not brave or happy and vice versa. Everyone who is either not curious or happy is either humble or not happy. If someone is tall or cu... | Mary is not wise. | contradiction | (![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(X)=>~patient(X)))&
((~strong(lucy))<=>(funny(mary)))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(... | ~wise(mary) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6969671257358975945904909
% SZS output start Proof for 6969671257358975945904909
1. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p0]
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> hu... | 0 |
If someone is either not quiet or not creative then someone is either wise or rich. Everyone who is either not quiet or brave is either rich or happy and vice versa. If alice is not wise or calm then john is quiet or generous. Everyone who is not brave or creative is not funny and vice versa. If lucy is not creative or... | Paul is wise. | entailment | ((?[X]:((~quiet(X)<~>~creative(X))))=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>(rich(X)<~>happy(X))))&
(((~wise(alice)|calm(alice)))=>((quiet(john)|generous(john))))&
(![X]:((~brave(X)|creative(X))<=>~funny(X)))&
(((~creative(lucy)|humble(lucy)))<=>((creative(susan)&~tall(susan))))&
(((generous(jo... | wise(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1758280434271786750408640
% SZS output start Proof for 1758280434271786750408640
11. ! [X0] : (~wise(X0) <=> (~quiet(X0) & wise(X0))) [input p10]
22. ~wise(paul) [input hypothesis]
48. ! [X0] : ((~wise(X0) | (quiet(X0) | ~wise(X0))) & ((~quiet(X0) & wise(X0)) | wise(X0))) [nnf transformat... | 0 |
If someone is either curious or strong then john is either rich or strong and vice versa. Everyone who is generous is both kind and rich and vice versa. If someone is not creative then alice is not humble or not old. If someone is either happy or not quiet then someone is not happy and vice versa. Everyone who is eithe... | Susan is not calm. | neutral | ((?[X]:((curious(X)<~>strong(X))))<=>((rich(john)<~>strong(john))))&
(![X]:(generous(X)<=>(kind(X)&rich(X))))&
((?[X]:(~creative(X)))=>((~humble(alice)|~old(alice))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~tall(X)<~>kind(X))=>wise(X)))&
((wise(john))=>((~tall(alice)|~humble(alice))))&
(![X]:(... | ~calm(susan) | [] | null | 0 |
Everyone who is not old is either old or wise and vice versa. Everyone who is either old or not creative is either not rich or kind. Everyone who is either not calm or happy is either not quiet or curious. If someone is not tall then alice is either strong or not old. Everyone who is either calm or not strong is both h... | Lucy is wise. | entailment | (![X]:(~old(X)<=>(old(X)<~>wise(X))))&
(![X]:((old(X)<~>~creative(X))=>(~rich(X)<~>kind(X))))&
(![X]:((~calm(X)<~>happy(X))=>(~quiet(X)<~>curious(X))))&
((?[X]:(~tall(X)))=>((strong(alice)<~>~old(alice))))&
(![X]:((calm(X)<~>~strong(X))=>(happy(X)&patient(X))))&
((?[X]:((kind(X)&creative(X))))<=>((~patient(lucy)&~rich(... | wise(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 270786508076933406866119
% SZS output start Proof for 270786508076933406866119
1. ! [X0] : (~old(X0) <=> (old(X0) <~> wise(X0))) [input p0]
25. ~wise(lucy) [input hypothesis]
40. ! [X0] : ((~old(X0) | ((old(X0) | ~wise(X0)) & (wise(X0) | ~old(X0)))) & (((~wise(X0) | ~old(X0)) & (wise(X0) ... | 0 |
If alice is tall or not old then lucy is both happy and not humble and vice versa. Everyone who is patient or curious is either kind or calm. Everyone who is both not wise and not brave is either not brave or not tall. If john is both humble and not patient then john is both patient and tall. If alice is not rich then ... | Fred is patient. | neutral | (((tall(alice)|~old(alice)))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((patient(X)|curious(X))=>(kind(X)<~>calm(X))))&
(![X]:((~wise(X)&~brave(X))=>(~brave(X)<~>~tall(X))))&
(((humble(john)&~patient(john)))=>((patient(john)&tall(john))))&
((~rich(alice))=>(?[X]:((~happy(X)&~creative(X)))))&
(((humble(john)<~>~rich(john)... | patient(fred) | [] | null | 0 |
Everyone who is not generous is either not wise or not patient.
Everyone who is either humble or not generous is not curious or funny and vice versa.
Everyone who is not curious is either not curious or not creative and vice versa.
If someone is not kind or not humble then susan is not creative.
Everyone who is calm or... | Fred is curious. | contradiction | (![X]:(~generous(X)=>(~wise(X)<~>~patient(X))))&
(![X]:((humble(X)<~>~generous(X))<=>(~curious(X)|funny(X))))&
(![X]:(~curious(X)<=>(~curious(X)<~>~creative(X))))&
((?[X]:((~kind(X)|~humble(X))))=>(~creative(susan)))&
(![X]:((calm(X)|creative(X))<=>~quiet(X)))&
(((~generous(fred)|~calm(fred)))=>(kind(john)))&
(((~quiet... | curious(fred) | [
"p2",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1315960573668036824952660
% SZS output start Proof for 1315960573668036824952660
3. ! [X0] : (~curious(X0) <=> (~curious(X0) <~> ~creative(X0))) [input p2]
4. ? [X0] : (~humble(X0) | ~kind(X0)) => ~creative(susan) [input p3]
12. ! [X0] : (curious(X0) => (~humble(X0) & generous(X0))) [inpu... | 0 |
If someone is either brave or not curious then someone is not calm or patient. Everyone who is not old or curious is both not calm and not strong. Everyone who is not happy is either not humble or not wise and vice versa. Everyone who is both not creative and not generous is both generous and not rich. If someone is bo... | Lucy is wise. | contradiction | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((~calm(X)|patient(X)))))&
(![X]:((~old(X)|curious(X))=>(~calm(X)&~strong(X))))&
(![X]:(~happy(X)<=>(~humble(X)<~>~wise(X))))&
(![X]:((~creative(X)&~generous(X))=>(generous(X)&~rich(X))))&
((?[X]:((~brave(X)&patient(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(![X]:((~calm(X)&~qui... | wise(lucy) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2013075761543333435421077
% SZS output start Proof for 2013075761543333435421077
3. ! [X0] : (~happy(X0) <=> (~humble(X0) <~> ~wise(X0))) [input p2]
16. ! [X0] : ((~humble(X0) | ~wise(X0)) <=> happy(X0)) [input p15]
24. wise(lucy) [input hypothesis]
47. ! [X0] : ((~happy(X0) | ((~humble(X... | 0 |
Everyone who is not kind is either not generous or quiet.
If someone is both not strong and not funny then someone is happy or not kind.
Everyone who is either curious or tall is either not creative or tall.
If mary is not funny or not brave then mary is wise or happy and vice versa.
Everyone who is either rich or not ... | Mary is funny. | contradiction | (![X]:(~kind(X)=>(~generous(X)<~>quiet(X))))&
((?[X]:((~strong(X)&~funny(X))))=>(?[X]:((happy(X)|~kind(X)))))&
(![X]:((curious(X)<~>tall(X))=>(~creative(X)<~>tall(X))))&
(((~funny(mary)|~brave(mary)))<=>((wise(mary)|happy(mary))))&
(![X]:((rich(X)<~>~funny(X))=>(wise(X)|~patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~ha... | funny(mary) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p10",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7664687022533318061598203
% SZS output start Proof for 7664687022533318061598203
3. ! [X0] : ((curious(X0) <~> tall(X0)) => (~creative(X0) <~> tall(X0))) [input p2]
4. (~brave(mary) | ~funny(mary)) <=> (happy(mary) | wise(mary)) [input p3]
6. ! [X0] : ((funny(X0) & ~tall(X0)) <=> (~happy(... | 0 |
Everyone who is either rich or wise is both not strong and not happy and vice versa.
If someone is not quiet then someone is both humble and old and vice versa.
If someone is not old or strong then someone is either not rich or patient.
If someone is not generous or not kind then susan is either not strong or curious a... | Alice is not happy. | neutral | (![X]:((rich(X)<~>wise(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((humble(X)&old(X)))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((~rich(X)<~>patient(X)))))&
((?[X]:((~generous(X)|~kind(X))))<=>((~strong(susan)<~>curious(susan))))&
(((funny(alice)|~generous(alice)))<=>(?[X]:(~rich(X))))&
(((~calm(john)|~... | ~happy(alice) | [] | null | 0 |
Everyone who is both patient and not funny is not kind or creative.
If fred is both generous and rich then paul is either funny or wise and vice versa.
If alice is either old or not calm then john is curious.
Everyone who is both not wise and not funny is either funny or generous and vice versa.
If mary is funny then s... | Fred is not happy. | contradiction | (![X]:((patient(X)&~funny(X))=>(~kind(X)|creative(X))))&
(((generous(fred)&rich(fred)))<=>((funny(paul)<~>wise(paul))))&
(((old(alice)<~>~calm(alice)))=>(curious(john)))&
(![X]:((~wise(X)&~funny(X))<=>(funny(X)<~>generous(X))))&
((funny(mary))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)|~wise(X))))=>((brave(... | ~happy(fred) | [
"p1",
"p3",
"p8",
"p13",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1519872462678137493527623
% SZS output start Proof for 1519872462678137493527623
2. (rich(fred) & generous(fred)) <=> (funny(paul) <~> wise(paul)) [input p1]
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (funny(X0) <~> generous(X0))) [input p3]
9. ! [X0] : ((~generous(X0) | calm(X0)) => rich(... | 0 |
Everyone who is not rich is either not strong or not old and vice versa. If someone is patient then someone is both not humble and not patient. If someone is either strong or curious then someone is either happy or not wise and vice versa. Everyone who is either not patient or not funny is either not curious or not tal... | Alice is rich. | entailment | (![X]:(~rich(X)<=>(~strong(X)<~>~old(X))))&
((?[X]:(patient(X)))=>(?[X]:((~humble(X)&~patient(X)))))&
((?[X]:((strong(X)<~>curious(X))))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((curious(X)<~>wise(X))<=>calm(X)))&
(![X]:((~curious(X)&~rich(X))<=>(generous(... | rich(alice) | [
"p4",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3932697432707222326290669
% SZS output start Proof for 3932697432707222326290669
5. ! [X0] : ((curious(X0) <~> wise(X0)) <=> calm(X0)) [input p4]
13. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (~strong(X0) | ~wise(X0))) [input p12]
14. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) | ~crea... | 0 |
Everyone who is both funny and not funny is not happy. Everyone who is either brave or rich is brave or not patient and vice versa. If someone is not happy then someone is not quiet or humble. Everyone who is not generous or humble is both not generous and old. Everyone who is humble or not funny is not wise or not fun... | Alice is wise. | contradiction | (![X]:((funny(X)&~funny(X))=>~happy(X)))&
(![X]:((brave(X)<~>rich(X))<=>(brave(X)|~patient(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~quiet(X)|humble(X)))))&
(![X]:((~generous(X)|humble(X))=>(~generous(X)&old(X))))&
(![X]:((humble(X)|~funny(X))=>(~wise(X)|~funny(X))))&
(![X]:((happy(X)<~>~funny(X))<=>(~kind(X)<~>~rich(X))))&... | wise(alice) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5320405072331567362598924
% SZS output start Proof for 5320405072331567362598924
2. ! [X0] : ((brave(X0) <~> rich(X0)) <=> (~patient(X0) | brave(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | humble(X0)) => (~funny(X0) | ~wise(X0))) [input p4]
6. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> (~ki... | 0 |
Everyone who is both not kind and not curious is not rich or not patient and vice versa.
Everyone who is either funny or tall is not calm or humble.
If someone is not rich then someone is wise or not rich.
If someone is happy or strong then mary is not tall or not generous.
Everyone who is either wise or not calm is no... | Alice is not calm. | neutral | (![X]:((~kind(X)&~curious(X))<=>(~rich(X)|~patient(X))))&
(![X]:((funny(X)<~>tall(X))=>(~calm(X)|humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((wise(X)|~rich(X)))))&
((?[X]:((happy(X)|strong(X))))=>((~tall(mary)|~generous(mary))))&
(![X]:((wise(X)<~>~calm(X))=>~rich(X)))&
(![X]:((patient(X)&~patient(X))<=>(brave(X)|funny(X)... | ~calm(alice) | [] | null | 0 |
Everyone who is not calm or brave is calm and vice versa.
If someone is both not curious and humble then lucy is not wise or rich.
Everyone who is quiet or not calm is not rich.
If fred is rich then someone is old or not kind and vice versa.
Everyone who is both creative and not kind is funny and vice versa.
If fred is... | Fred is generous. | contradiction | (![X]:((~calm(X)|brave(X))<=>calm(X)))&
((?[X]:((~curious(X)&humble(X))))=>((~wise(lucy)|rich(lucy))))&
(![X]:((quiet(X)|~calm(X))=>~rich(X)))&
((rich(fred))<=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>funny(X)))&
(((kind(fred)&~humble(fred)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((~kind(X)|gen... | generous(fred) | [
"p2",
"p3",
"p4",
"p6",
"p16",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9143020024299798904527877
% SZS output start Proof for 9143020024299798904527877
3. ! [X0] : ((~calm(X0) | quiet(X0)) => ~rich(X0)) [input p2]
4. rich(fred) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
5. ! [X0] : ((~kind(X0) & creative(X0)) <=> funny(X0)) [input p4]
7. ! [X0] : ((genero... | 0 |
Everyone who is happy is both not strong and not happy. Everyone who is both brave and not rich is either wise or patient. Everyone who is both not quiet and strong is patient or not happy and vice versa. Everyone who is both brave and funny is strong. Everyone who is not patient or quiet is happy or patient. If someon... | Mary is not kind. | neutral | (![X]:(happy(X)=>(~strong(X)&~happy(X))))&
(![X]:((brave(X)&~rich(X))=>(wise(X)<~>patient(X))))&
(![X]:((~quiet(X)&strong(X))<=>(patient(X)|~happy(X))))&
(![X]:((brave(X)&funny(X))=>strong(X)))&
(![X]:((~patient(X)|quiet(X))=>(happy(X)|patient(X))))&
((?[X]:((~strong(X)<~>brave(X))))=>((patient(fred)|kind(fred))))&
((?... | ~kind(mary) | [] | null | 0 |
Everyone who is old is both not curious and not old.
Everyone who is not happy is kind or not wise and vice versa.
If fred is either not tall or not funny then paul is either rich or humble and vice versa.
Everyone who is either generous or not creative is either not patient or creative and vice versa.
If someone is cr... | Fred is rich. | neutral | (![X]:(old(X)=>(~curious(X)&~old(X))))&
(![X]:(~happy(X)<=>(kind(X)|~wise(X))))&
(((~tall(fred)<~>~funny(fred)))<=>((rich(paul)<~>humble(paul))))&
(![X]:((generous(X)<~>~creative(X))<=>(~patient(X)<~>creative(X))))&
((?[X]:((creative(X)|~funny(X))))=>(?[X]:((~generous(X)&humble(X)))))&
(((calm(mary)<~>old(mary)))<=>(?[... | rich(fred) | [] | null | 0 |
If someone is brave or not generous then fred is strong or not old. Everyone who is strong is both not creative and quiet and vice versa. Everyone who is either generous or rich is both quiet and not creative and vice versa. Everyone who is generous or not happy is not generous and vice versa. Everyone who is generous ... | John is patient. | entailment | ((?[X]:((brave(X)|~generous(X))))=>((strong(fred)|~old(fred))))&
(![X]:(strong(X)<=>(~creative(X)&quiet(X))))&
(![X]:((generous(X)<~>rich(X))<=>(quiet(X)&~creative(X))))&
(![X]:((generous(X)|~happy(X))<=>~generous(X)))&
(![X]:((generous(X)|strong(X))=>(~patient(X)&quiet(X))))&
(![X]:((calm(X)&~generous(X))<=>(funny(X)|... | patient(john) | [
"p1",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3901677598444472386734
% SZS output start Proof for 3901677598444472386734
2. ! [X0] : (strong(X0) <=> (quiet(X0) & ~creative(X0))) [input p1]
5. ! [X0] : ((strong(X0) | generous(X0)) => (quiet(X0) & ~patient(X0))) [input p4]
14. ! [X0] : ((funny(X0) & patient(X0)) <=> (~strong(X0) | ~cre... | 0 |
If fred is either generous or rich then someone is calm or kind.
If someone is either not tall or not brave then someone is not old or calm.
If someone is both not happy and humble then someone is funny and vice versa.
Everyone who is kind or not quiet is calm and vice versa.
If someone is both calm and patient then pa... | Lucy is old. | contradiction | (((generous(fred)<~>rich(fred)))=>(?[X]:((calm(X)|kind(X)))))&
((?[X]:((~tall(X)<~>~brave(X))))=>(?[X]:((~old(X)|calm(X)))))&
((?[X]:((~happy(X)&humble(X))))<=>(?[X]:(funny(X))))&
(![X]:((kind(X)|~quiet(X))<=>calm(X)))&
((?[X]:((calm(X)&patient(X))))=>(~rich(paul)))&
(![X]:((~tall(X)&~quiet(X))=>(tall(X)|~curious(X))))... | old(lucy) | [
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6042787635299374240650518
% SZS output start Proof for 6042787635299374240650518
4. ! [X0] : ((~quiet(X0) | kind(X0)) <=> calm(X0)) [input p3]
14. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (quiet(X0) <~> brave(X0))) [input p13]
15. ! [X0] : ((generous(X0) | old(X0)) => (~calm(X0) & ~brave(X0)... | 0 |
Everyone who is not wise is either not patient or strong and vice versa.
If paul is both kind and not tall then lucy is both not strong and rich and vice versa.
Everyone who is either old or not wise is either patient or rich and vice versa.
If someone is not funny or kind then john is both not quiet and calm and vice ... | John is humble. | neutral | (![X]:(~wise(X)<=>(~patient(X)<~>strong(X))))&
(((kind(paul)&~tall(paul)))<=>((~strong(lucy)&rich(lucy))))&
(![X]:((old(X)<~>~wise(X))<=>(patient(X)<~>rich(X))))&
((?[X]:((~funny(X)|kind(X))))<=>((~quiet(john)&calm(john))))&
(((~quiet(paul)&old(paul)))=>(?[X]:(~creative(X))))&
(![X]:((~wise(X)|patient(X))<=>(~brave(X)&... | humble(john) | [] | null | 0 |
If susan is not tall then susan is both generous and funny.
Everyone who is either patient or not generous is not tall or not happy and vice versa.
If susan is either quiet or not strong then mary is either curious or not wise and vice versa.
Everyone who is either not tall or not creative is either creative or quiet a... | Lucy is old. | entailment | ((~tall(susan))=>((generous(susan)&funny(susan))))&
(![X]:((patient(X)<~>~generous(X))<=>(~tall(X)|~happy(X))))&
(((quiet(susan)<~>~strong(susan)))<=>((curious(mary)<~>~wise(mary))))&
(![X]:((~tall(X)<~>~creative(X))<=>(creative(X)<~>quiet(X))))&
((?[X]:((~old(X)<~>~calm(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~old(X)|cal... | old(lucy) | [
"p3",
"p5",
"p6",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3629500970291725475139456
% SZS output start Proof for 3629500970291725475139456
4. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> (creative(X0) <~> quiet(X0))) [input p3]
6. ! [X0] : ((calm(X0) | ~old(X0)) => humble(X0)) [input p5]
7. ! [X0] : ((tall(X0) | ~humble(X0)) <=> (rich(X0) <~> ~cr... | 0 |
If someone is not happy or not wise then paul is either patient or generous and vice versa. If mary is old then lucy is not happy or brave. Everyone who is tall or not old is not generous. Everyone who is both not curious and not wise is quiet or generous and vice versa. If fred is both patient and curious then someone... | Mary is calm. | contradiction | ((?[X]:((~happy(X)|~wise(X))))<=>((patient(paul)<~>generous(paul))))&
((old(mary))=>((~happy(lucy)|brave(lucy))))&
(![X]:((tall(X)|~old(X))=>~generous(X)))&
(![X]:((~curious(X)&~wise(X))<=>(quiet(X)|generous(X))))&
(((patient(fred)&curious(fred)))=>(?[X]:(~funny(X))))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)&generous(X... | calm(mary) | [
"p2",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8953944484340594466784328
% SZS output start Proof for 8953944484340594466784328
3. ! [X0] : ((~old(X0) | tall(X0)) => ~generous(X0)) [input p2]
8. ! [X0] : (~funny(X0) => wise(X0)) [input p7]
11. ? [X0] : ~funny(X0) => (~old(fred) & ~wise(fred)) [input p10]
16. ! [X0] : (funny(X0) <=> (g... | 0 |
If alice is either not old or old then someone is not kind or not calm. Everyone who is either brave or not strong is curious and vice versa. If paul is wise then someone is strong or old and vice versa. Everyone who is brave or happy is not kind and vice versa. Everyone who is rich or not calm is not generous. If lucy... | Lucy is happy. | contradiction | (((~old(alice)<~>old(alice)))=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>curious(X)))&
((wise(paul))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>~kind(X)))&
(![X]:((rich(X)|~calm(X))=>~generous(X)))&
(((~humble(lucy)|~wise(lucy)))<=>((happy(fred)|~wise(fred))))&
(![X]:(patient(X)<... | happy(lucy) | [
"p2",
"p3",
"p11",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1011893880110766304203359
% SZS output start Proof for 1011893880110766304203359
3. wise(paul) <=> ? [X0] : (old(X0) | strong(X0)) [input p2]
4. ! [X0] : ((happy(X0) | brave(X0)) <=> ~kind(X0)) [input p3]
12. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~creative(X0) <~> wise(X0))) [input p1... | 0 |
Everyone who is both calm and rich is not rich or old.
If lucy is wise then alice is both not strong and not happy.
Everyone who is not strong is generous and vice versa.
If lucy is old or creative then someone is both not creative and quiet and vice versa.
If alice is both old and brave then john is either tall or hum... | Alice is generous. | entailment | (![X]:((calm(X)&rich(X))=>(~rich(X)|old(X))))&
((wise(lucy))=>((~strong(alice)&~happy(alice))))&
(![X]:(~strong(X)<=>generous(X)))&
(((old(lucy)|creative(lucy)))<=>(?[X]:((~creative(X)&quiet(X)))))&
(((old(alice)&brave(alice)))=>((tall(john)<~>humble(john))))&
(((~patient(fred)|~strong(fred)))<=>(~patient(lucy)))&
(![X... | generous(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6365404392902652406950140
% SZS output start Proof for 6365404392902652406950140
13. ! [X0] : (~curious(X0) <=> (~curious(X0) <~> ~generous(X0))) [input p12]
25. ~generous(alice) [input hypothesis]
61. ! [X0] : ((~curious(X0) | ((~curious(X0) | generous(X0)) & (~generous(X0) | curious(X0)... | 0 |
If paul is both creative and generous then susan is funny or creative and vice versa.
If paul is not funny then someone is both brave and not old and vice versa.
Everyone who is not strong or patient is either not generous or old.
If someone is humble or generous then someone is either not happy or calm and vice versa.... | Fred is not tall. | neutral | (((creative(paul)&generous(paul)))<=>((funny(susan)|creative(susan))))&
((~funny(paul))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((~strong(X)|patient(X))=>(~generous(X)<~>old(X))))&
((?[X]:((humble(X)|generous(X))))<=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((~kind(X)<~>rich(X))=>(~strong(X)|~rich(X))))&
(![X]:((curious(X)... | ~tall(fred) | [] | null | 0 |
Everyone who is either brave or generous is either curious or quiet.
Everyone who is not funny or not curious is both not patient and creative and vice versa.
If alice is either brave or not quiet then fred is not tall.
If john is either not wise or calm then someone is humble.
If mary is both brave and not happy then ... | Alice is funny. | contradiction | (![X]:((brave(X)<~>generous(X))=>(curious(X)<~>quiet(X))))&
(![X]:((~funny(X)|~curious(X))<=>(~patient(X)&creative(X))))&
(((brave(alice)<~>~quiet(alice)))=>(~tall(fred)))&
(((~wise(john)<~>calm(john)))=>(?[X]:(humble(X))))&
(((brave(mary)&~happy(mary)))=>(?[X]:((strong(X)|calm(X)))))&
(((tall(mary)|~funny(mary)))=>(?[... | funny(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6660205544275664998551033
% SZS output start Proof for 6660205544275664998551033
7. ! [X0] : ((rich(X0) | ~rich(X0)) <=> ~funny(X0)) [input p6]
25. funny(alice) [input hypothesis]
50. ! [X0] : (((rich(X0) | ~rich(X0)) | funny(X0)) & (~funny(X0) | (~rich(X0) & rich(X0)))) [nnf transformati... | 0 |
If paul is not funny then mary is both not patient and not calm. Everyone who is either kind or not quiet is either not brave or not kind and vice versa. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not brave is not calm and vice versa. Everyone who is both ... | Paul is not calm. | contradiction | ((~funny(paul))=>((~patient(mary)&~calm(mary))))&
(![X]:((kind(X)<~>~quiet(X))<=>(~brave(X)<~>~kind(X))))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient(X))=>(funny(X)&~curious(X))))&
(![X]:((~wis... | ~calm(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1340302631767228670735437
% SZS output start Proof for 1340302631767228670735437
11. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~old(X0) | ~calm(X0))) [input p10]
20. ~calm(paul) [input hypothesis]
47. ! [X0] : (((calm(X0) & ~patient(X0)) | (old(X0) & calm(X0))) & ((~old(X0) | ~calm(X0)) | ... | 0 |
Everyone who is both not creative and patient is happy or not brave. Everyone who is old or not strong is either not wise or curious and vice versa. Everyone who is old is both not kind and curious and vice versa. Everyone who is either curious or not rich is both curious and not tall and vice versa. Everyone who is br... | Alice is humble. | neutral | (![X]:((~creative(X)&patient(X))=>(happy(X)|~brave(X))))&
(![X]:((old(X)|~strong(X))<=>(~wise(X)<~>curious(X))))&
(![X]:(old(X)<=>(~kind(X)&curious(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(curious(X)&~tall(X))))&
(![X]:(brave(X)=>(humble(X)&~creative(X))))&
((?[X]:((wise(X)&~generous(X))))<=>(?[X]:((creative(X)&rich(X)... | humble(alice) | [] | null | 0 |
Everyone who is not humble is quiet or curious and vice versa.
If lucy is either tall or not kind then lucy is either not old or not kind and vice versa.
Everyone who is not rich or not brave is either brave or not tall.
Everyone who is both tall and not funny is either creative or not wise.
Everyone who is either not ... | Paul is not old. | neutral | (![X]:(~humble(X)<=>(quiet(X)|curious(X))))&
(((tall(lucy)<~>~kind(lucy)))<=>((~old(lucy)<~>~kind(lucy))))&
(![X]:((~rich(X)|~brave(X))=>(brave(X)<~>~tall(X))))&
(![X]:((tall(X)&~funny(X))=>(creative(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>generous(X))=>rich(X)))&
(((~kind(paul)&funny(paul)))=>(?[X]:((creative(X)|~patient... | ~old(paul) | [] | null | 0 |
Everyone who is both happy and not humble is either not creative or not humble and vice versa.
Everyone who is happy is either funny or wise and vice versa.
Everyone who is not old is generous.
If paul is both not happy and not calm then someone is both tall and not happy.
Everyone who is old or not funny is either ric... | Alice is happy. | entailment | (![X]:((happy(X)&~humble(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(happy(X)<=>(funny(X)<~>wise(X))))&
(![X]:(~old(X)=>generous(X)))&
(((~happy(paul)&~calm(paul)))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~w... | happy(alice) | [
"p1",
"p4",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6616590659469084880789448
% SZS output start Proof for 6616590659469084880789448
2. ! [X0] : (happy(X0) <=> (funny(X0) <~> wise(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | old(X0)) <=> (rich(X0) <~> happy(X0))) [input p4]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient(X0) & ~tal... | 0 |
Everyone who is both not funny and not brave is not rich or not tall and vice versa.
If mary is not generous or strong then someone is either not creative or not brave and vice versa.
Everyone who is either generous or not curious is either not generous or strong.
Everyone who is either not wise or strong is not tall a... | Susan is not patient. | neutral | (![X]:((~funny(X)&~brave(X))<=>(~rich(X)|~tall(X))))&
(((~generous(mary)|strong(mary)))<=>(?[X]:((~creative(X)<~>~brave(X)))))&
(![X]:((generous(X)<~>~curious(X))=>(~generous(X)<~>strong(X))))&
(![X]:((~wise(X)<~>strong(X))<=>~tall(X)))&
(((~humble(fred)<~>~rich(fred)))<=>((~old(fred)|tall(fred))))&
(((~creative(john)&... | ~patient(susan) | [] | null | 0 |
Everyone who is either rich or curious is old and vice versa.
If susan is brave or creative then john is not funny.
If someone is not old then alice is both not happy and not patient and vice versa.
Everyone who is not tall is either not generous or not patient and vice versa.
If fred is both tall and old then someone ... | Lucy is not creative. | neutral | (![X]:((rich(X)<~>curious(X))<=>old(X)))&
(((brave(susan)|creative(susan)))=>(~funny(john)))&
((?[X]:(~old(X)))<=>((~happy(alice)&~patient(alice))))&
(![X]:(~tall(X)<=>(~generous(X)<~>~patient(X))))&
(((tall(fred)&old(fred)))<=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:((~old(X)&old(X))))<=>((~rich(lucy)&~creative(lucy)))... | ~creative(lucy) | [] | null | 0 |
If someone is happy then someone is both not happy and not patient and vice versa.
Everyone who is not old or not patient is not strong.
If susan is either not kind or quiet then alice is both not wise and patient.
If someone is wise then susan is either wise or happy and vice versa.
Everyone who is not old or not crea... | John is not funny. | entailment | ((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:((~old(X)|~patient(X))=>~strong(X)))&
(((~kind(susan)<~>quiet(susan)))=>((~wise(alice)&patient(alice))))&
((?[X]:(wise(X)))<=>((wise(susan)<~>happy(susan))))&
(![X]:((~old(X)|~creative(X))=>(~happy(X)|~brave(X))))&
((?[X]:(creative(X)))<=>((~generous(lucy)|~... | ~funny(john) | [
"p0",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 806896672236124424976471
% SZS output start Proof for 806896672236124424976471
1. ? [X0] : happy(X0) <=> ? [X0] : (~patient(X0) & ~happy(X0)) [input p0]
6. ? [X0] : creative(X0) <=> (~creative(lucy) | ~generous(lucy)) [input p5]
11. ? [X0] : (~happy(X0) <~> patient(X0)) <=> (generous(john... | 0 |
Everyone who is either old or calm is creative or happy.
Everyone who is either old or not generous is not tall or not rich.
If paul is both brave and not generous then john is not curious and vice versa.
If someone is not funny then mary is not generous or not curious.
If someone is brave or not quiet then fred is bot... | John is generous. | entailment | (![X]:((old(X)<~>calm(X))=>(creative(X)|happy(X))))&
(![X]:((old(X)<~>~generous(X))=>(~tall(X)|~rich(X))))&
(((brave(paul)&~generous(paul)))<=>(~curious(john)))&
((?[X]:(~funny(X)))=>((~generous(mary)|~curious(mary))))&
((?[X]:((brave(X)|~quiet(X))))<=>((~patient(fred)&~happy(fred))))&
(![X]:((rich(X)|~old(X))=>(~wise(... | generous(john) | [
"p6",
"p7",
"p10",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 365277182428038905534739
% SZS output start Proof for 365277182428038905534739
7. ! [X0] : ((~patient(X0) <~> kind(X0)) <=> (~generous(X0) | ~creative(X0))) [input p6]
8. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~wise(X0) & ~rich(X0))) [input p7]
11. ! [X0] : ((patient(X0) <~> ~kind(X0)) =>... | 0 |
If someone is patient then someone is not creative.
Everyone who is either not old or tall is both not quiet and not humble and vice versa.
If susan is either not strong or not calm then susan is either strong or brave and vice versa.
If someone is both patient and not quiet then someone is either not quiet or brave an... | John is not humble. | contradiction | ((?[X]:(patient(X)))=>(?[X]:(~creative(X))))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&~humble(X))))&
(((~strong(susan)<~>~calm(susan)))<=>((strong(susan)<~>brave(susan))))&
((?[X]:((patient(X)&~quiet(X))))<=>(?[X]:((~quiet(X)<~>brave(X)))))&
(![X]:(~old(X)=>(~rich(X)<~>~creative(X))))&
(((~wise(john)<~>patient(john)))<... | ~humble(john) | [
"p1",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7794122492662900403575772
% SZS output start Proof for 7794122492662900403575772
2. ! [X0] : ((~old(X0) <~> tall(X0)) <=> (~humble(X0) & ~quiet(X0))) [input p1]
10. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (old(X0) & ~ta... | 0 |
Everyone who is both humble and not calm is not quiet or not humble. If someone is either not rich or strong then susan is not generous and vice versa. Everyone who is both not curious and strong is both not creative and not quiet. Everyone who is both happy and not happy is not rich or curious and vice versa. If john ... | Susan is not rich. | contradiction | (![X]:((humble(X)&~calm(X))=>(~quiet(X)|~humble(X))))&
((?[X]:((~rich(X)<~>strong(X))))<=>(~generous(susan)))&
(![X]:((~curious(X)&strong(X))=>(~creative(X)&~quiet(X))))&
(![X]:((happy(X)&~happy(X))<=>(~rich(X)|curious(X))))&
(((happy(john)|~old(john)))=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)<~>rich(X))))=>((~humble(fred... | ~rich(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8665385206198221610777657
% SZS output start Proof for 8665385206198221610777657
4. ! [X0] : ((~happy(X0) & happy(X0)) <=> (curious(X0) | ~rich(X0))) [input p3]
25. ~rich(susan) [input hypothesis]
43. ! [X0] : (((~happy(X0) & happy(X0)) | (~curious(X0) & rich(X0))) & ((curious(X0) | ~rich... | 0 |
Everyone who is either old or curious is humble. Everyone who is either humble or creative is creative and vice versa. Everyone who is not old is rich. If someone is either curious or tall then john is either rich or kind. Everyone who is not quiet or not tall is both old and wise and vice versa. Everyone who is both n... | Susan is not tall. | contradiction | (![X]:((old(X)<~>curious(X))=>humble(X)))&
(![X]:((humble(X)<~>creative(X))<=>creative(X)))&
(![X]:(~old(X)=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))=>((rich(john)<~>kind(john))))&
(![X]:((~quiet(X)|~tall(X))<=>(old(X)&wise(X))))&
(![X]:((~brave(X)&old(X))<=>~humble(X)))&
(![X]:((old(X)&brave(X))=>(funny(X)|~strong(... | ~tall(susan) | [
"p1",
"p4",
"p5",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3060714274092357584517984
% SZS output start Proof for 3060714274092357584517984
2. ! [X0] : ((humble(X0) <~> creative(X0)) <=> creative(X0)) [input p1]
5. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> (wise(X0) & old(X0))) [input p4]
6. ! [X0] : ((old(X0) & ~brave(X0)) <=> ~humble(X0)) [input p... | 0 |
If lucy is either not tall or not old then alice is both not curious and tall.
Everyone who is not wise is quiet or humble and vice versa.
Everyone who is both not wise and not creative is both not happy and not old.
Everyone who is not quiet is both rich and quiet and vice versa.
Everyone who is brave or rich is humbl... | Lucy is not happy. | neutral | (((~tall(lucy)<~>~old(lucy)))=>((~curious(alice)&tall(alice))))&
(![X]:(~wise(X)<=>(quiet(X)|humble(X))))&
(![X]:((~wise(X)&~creative(X))=>(~happy(X)&~old(X))))&
(![X]:(~quiet(X)<=>(rich(X)&quiet(X))))&
(![X]:((brave(X)|rich(X))=>humble(X)))&
(![X]:((quiet(X)|rich(X))<=>~funny(X)))&
(![X]:(~brave(X)=>(creative(X)&kind(... | ~happy(lucy) | [] | null | 0 |
If alice is either not happy or kind then alice is both not happy and strong. Everyone who is both not generous and not quiet is both tall and not generous and vice versa. If paul is both not calm and funny then someone is not creative and vice versa. Everyone who is not wise or not funny is either tall or not happy. I... | Mary is patient. | neutral | (((~happy(alice)<~>kind(alice)))=>((~happy(alice)&strong(alice))))&
(![X]:((~generous(X)&~quiet(X))<=>(tall(X)&~generous(X))))&
(((~calm(paul)&funny(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((~wise(X)|~funny(X))=>(tall(X)<~>~happy(X))))&
(((~kind(susan)|calm(susan)))=>(?[X]:((strong(X)|tall(X)))))&
(![X]:((~funny(X)&cur... | patient(mary) | [] | null | 0 |
Everyone who is rich or not humble is both old and not old.
If john is either kind or not humble then someone is rich or not rich and vice versa.
If someone is both rich and brave then mary is not curious or not rich.
Everyone who is not curious or curious is either curious or not kind.
Everyone who is both rich and no... | John is not patient. | contradiction | (![X]:((rich(X)|~humble(X))=>(old(X)&~old(X))))&
(((kind(john)<~>~humble(john)))<=>(?[X]:((rich(X)|~rich(X)))))&
((?[X]:((rich(X)&brave(X))))=>((~curious(mary)|~rich(mary))))&
(![X]:((~curious(X)|curious(X))=>(curious(X)<~>~kind(X))))&
(![X]:((rich(X)&~quiet(X))=>(~funny(X)&~creative(X))))&
(![X]:((curious(X)&funny(X))... | ~patient(john) | [
"p0",
"p1",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8923212367419627374861617
% SZS output start Proof for 8923212367419627374861617
1. ! [X0] : ((~humble(X0) | rich(X0)) => (~old(X0) & old(X0))) [input p0]
2. (kind(john) <~> ~humble(john)) <=> ? [X0] : (~rich(X0) | rich(X0)) [input p1]
4. ! [X0] : ((curious(X0) | ~curious(X0)) => (curious... | 0 |
Everyone who is not creative or old is not curious or tall.
If mary is not happy then lucy is both rich and not funny.
If paul is patient then alice is not patient.
If john is both strong and not patient then someone is curious or brave and vice versa.
Everyone who is not strong or creative is both not curious and rich... | Lucy is not wise. | entailment | (![X]:((~creative(X)|old(X))=>(~curious(X)|tall(X))))&
((~happy(mary))=>((rich(lucy)&~funny(lucy))))&
((patient(paul))=>(~patient(alice)))&
(((strong(john)&~patient(john)))<=>(?[X]:((curious(X)|brave(X)))))&
(![X]:((~strong(X)|creative(X))<=>(~curious(X)&rich(X))))&
(((funny(mary)<~>~curious(mary)))<=>(?[X]:((happy(X)|... | ~wise(lucy) | [
"p4",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9119659959053558489328877
% SZS output start Proof for 9119659959053558489328877
5. ! [X0] : ((creative(X0) | ~strong(X0)) <=> (rich(X0) & ~curious(X0))) [input p4]
12. ? [X0] : (~wise(X0) <~> calm(X0)) <=> (~curious(lucy) <~> ~happy(lucy)) [input p11]
15. ! [X0] : (creative(X0) <=> (~hap... | 0 |
If mary is not strong then someone is wise or quiet.
Everyone who is both not happy and not tall is either tall or happy.
If someone is not patient then fred is either not creative or generous.
Everyone who is either not strong or quiet is both not humble and not happy and vice versa.
If mary is either humble or wise t... | John is calm. | contradiction | ((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>((~creative(fred)<~>generous(fred))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&~happy(X))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(((~quiet(paul)<~>strong(paul)))<... | calm(john) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8870311603938804495634685
% SZS output start Proof for 8870311603938804495634685
4. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p3]
5. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p4]
6. (~quiet(paul) <~> strong(paul)) <=> ? [... | 0 |
If alice is tall or creative then someone is either not generous or not curious and vice versa. If john is both not patient and strong then paul is not funny or humble. Everyone who is funny or quiet is either not humble or not rich. If lucy is either funny or not humble then alice is either humble or not kind. If mary... | Alice is quiet. | contradiction | (((tall(alice)|creative(alice)))<=>(?[X]:((~generous(X)<~>~curious(X)))))&
(((~patient(john)&strong(john)))=>((~funny(paul)|humble(paul))))&
(![X]:((funny(X)|quiet(X))=>(~humble(X)<~>~rich(X))))&
(((funny(lucy)<~>~humble(lucy)))=>((humble(alice)<~>~kind(alice))))&
(((wise(mary)&~humble(mary)))<=>(?[X]:(~rich(X))))&
((?... | quiet(alice) | [
"p2",
"p4",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 893907541228677825276010
% SZS output start Proof for 893907541228677825276010
3. ! [X0] : ((quiet(X0) | funny(X0)) => (~humble(X0) <~> ~rich(X0))) [input p2]
5. (~humble(mary) & wise(mary)) <=> ? [X0] : ~rich(X0) [input p4]
12. ! [X0] : (~curious(X0) => (wise(X0) & tall(X0))) [input p11]... | 0 |
If alice is both calm and not tall then fred is quiet.
If someone is either not kind or not curious then john is both old and not tall and vice versa.
Everyone who is both not funny and not creative is not kind.
Everyone who is either not old or not brave is either happy or not kind.
If someone is either not creative o... | Alice is calm. | contradiction | (((calm(alice)&~tall(alice)))=>(quiet(fred)))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((old(john)&~tall(john))))&
(![X]:((~funny(X)&~creative(X))=>~kind(X)))&
(![X]:((~old(X)<~>~brave(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:((calm(X)|~brave(X))<=>~calm(X))... | calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2934867670832890638687828
% SZS output start Proof for 2934867670832890638687828
6. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~calm(X0)) [input p5]
23. calm(alice) [input hypothesis]
45. ! [X0] : (((~brave(X0) | calm(X0)) | calm(X0)) & (~calm(X0) | (brave(X0) & ~calm(X0)))) [nnf transformatio... | 0 |
Everyone who is calm is either not tall or not funny and vice versa.
Everyone who is either calm or generous is not funny or not calm and vice versa.
Everyone who is either not generous or tall is either funny or not creative and vice versa.
If susan is either creative or curious then someone is both not patient and qu... | Paul is curious. | neutral | (![X]:(calm(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))<=>(funny(X)<~>~creative(X))))&
(((creative(susan)<~>curious(susan)))=>(?[X]:((~patient(X)&quiet(X)))))&
(((creative(fred)|~curious(fred)))<=>(?[X]:((happy(X)|~old(X)))))&
((?[X]:((rich(X)<... | curious(paul) | [] | null | 0 |
If someone is both not calm and not wise then lucy is not quiet. Everyone who is both quiet and not happy is not calm and vice versa. Everyone who is not humble is not curious or calm and vice versa. Everyone who is not funny is both funny and not old. Everyone who is both not curious and not generous is either old or ... | Lucy is not calm. | contradiction | ((?[X]:((~calm(X)&~wise(X))))=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~calm(X)))&
(![X]:(~humble(X)<=>(~curious(X)|calm(X))))&
(![X]:(~funny(X)=>(funny(X)&~old(X))))&
(![X]:((~curious(X)&~generous(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~humble(X)<~>brave(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~brave... | ~calm(lucy) | [
"p0",
"p1",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 68318822148384023166271
% SZS output start Proof for 68318822148384023166271
1. ? [X0] : (~wise(X0) & ~calm(X0)) => ~quiet(lucy) [input p0]
2. ! [X0] : ((~happy(X0) & quiet(X0)) <=> ~calm(X0)) [input p1]
10. ! [X0] : ((humble(X0) <~> ~wise(X0)) <=> (~humble(X0) | ~rich(X0))) [input p9]
21... | 0 |
Everyone who is not rich or creative is old. Everyone who is either wise or generous is both not wise and wise and vice versa. If fred is either not wise or generous then alice is either not quiet or calm and vice versa. Everyone who is either not kind or calm is both calm and happy and vice versa. Everyone who is eith... | Fred is not funny. | entailment | (![X]:((~rich(X)|creative(X))=>old(X)))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)&wise(X))))&
(((~wise(fred)<~>generous(fred)))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:((~kind(X)<~>calm(X))<=>(calm(X)&happy(X))))&
(![X]:((~kind(X)<~>patient(X))=>(~happy(X)&generous(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(... | ~funny(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3224065940623781884378328
% SZS output start Proof for 3224065940623781884378328
12. ! [X0] : ((humble(X0) & ~funny(X0)) <=> (rich(X0) | funny(X0))) [input p11]
24. funny(fred) [input hypothesis]
56. ! [X0] : (((humble(X0) & ~funny(X0)) | (~rich(X0) & ~funny(X0))) & ((rich(X0) | funny(X0)... | 0 |
If mary is both not kind and quiet then someone is not tall or rich. Everyone who is both not humble and not curious is not rich and vice versa. If someone is both not funny and not rich then someone is either not generous or not old. If someone is not generous or happy then someone is not creative and vice versa. Ever... | Mary is tall. | entailment | (((~kind(mary)&quiet(mary)))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))&
(![X]:((~kind(X)&kind(X))<=>(old(X)<~>tall(X))))&... | tall(mary) | [
"p4",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4972230108777182237135931
% SZS output start Proof for 4972230108777182237135931
5. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p4]
6. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (old(X0) <~> tall(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & ~old(X0)) => (generous(X0) <~> old(X0))) [in... | 0 |
Everyone who is both not rich and not generous is either quiet or not tall and vice versa.
If someone is both not funny and curious then someone is both quiet and not humble and vice versa.
If fred is either strong or not creative then someone is patient or creative.
If susan is both not brave and wise then someone is ... | Fred is not strong. | neutral | (![X]:((~rich(X)&~generous(X))<=>(quiet(X)<~>~tall(X))))&
((?[X]:((~funny(X)&curious(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((strong(fred)<~>~creative(fred)))=>(?[X]:((patient(X)|creative(X)))))&
(((~brave(susan)&wise(susan)))=>(?[X]:(calm(X))))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)&curious(X))))&
(((~quiet(fre... | ~strong(fred) | [] | null | 0 |
Everyone who is patient is both not quiet and not tall.
Everyone who is funny is rich and vice versa.
Everyone who is both not tall and not wise is strong or brave and vice versa.
Everyone who is either strong or calm is both humble and not generous and vice versa.
If someone is both creative and not funny then susan i... | John is wise. | contradiction | (![X]:(patient(X)=>(~quiet(X)&~tall(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:((~tall(X)&~wise(X))<=>(strong(X)|brave(X))))&
(![X]:((strong(X)<~>calm(X))<=>(humble(X)&~generous(X))))&
((?[X]:((creative(X)&~funny(X))))<=>((creative(susan)<~>~creative(susan))))&
(((calm(alice)<~>~generous(alice)))<=>(?[X]:((funny(X)|~tal... | wise(john) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6964914896347398585582364
% SZS output start Proof for 6964914896347398585582364
3. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (brave(X0) | strong(X0))) [input p2]
17. strong(john) <~> ~wise(john) [input p16]
24. wise(john) [input hypothesis]
36. ! [X0] : (((~wise(X0) & ~tall(X0)) | (~brave(X0... | 0 |
If mary is either not happy or curious then mary is brave and vice versa. If mary is both happy and not tall then someone is not funny. If lucy is creative or humble then alice is not calm or not creative and vice versa. Everyone who is not creative or funny is not rich or not generous and vice versa. Everyone who is b... | Mary is not rich. | contradiction | (((~happy(mary)<~>curious(mary)))<=>(brave(mary)))&
(((happy(mary)&~tall(mary)))=>(?[X]:(~funny(X))))&
(((creative(lucy)|humble(lucy)))<=>((~calm(alice)|~creative(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~rich(X)|~generous(X))))&
(![X]:((~curious(X)&~funny(X))<=>(curious(X)&kind(X))))&
(![X]:((wise(X)&~funny(X))<=>... | ~rich(mary) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5679715523357881841948960
% SZS output start Proof for 5679715523357881841948960
1. (~happy(mary) <~> curious(mary)) <=> brave(mary) [input p0]
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (~generous(X0) | ~rich(X0))) [input p3]
5. ! [X0] : ((~funny(X0) & ~curious(X0)) <=> (kind(X0) & cur... | 0 |
Everyone who is quiet is tall or patient.
If someone is kind then lucy is strong or not tall.
Everyone who is either strong or tall is both wise and not rich.
If someone is not kind or strong then alice is either not strong or strong and vice versa.
Everyone who is not funny or not calm is both creative and calm and vi... | Alice is not brave. | contradiction | (![X]:(quiet(X)=>(tall(X)|patient(X))))&
((?[X]:(kind(X)))=>((strong(lucy)|~tall(lucy))))&
(![X]:((strong(X)<~>tall(X))=>(wise(X)&~rich(X))))&
((?[X]:((~kind(X)|strong(X))))<=>((~strong(alice)<~>strong(alice))))&
(![X]:((~funny(X)|~calm(X))<=>(creative(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~generous(X)<~>fun... | ~brave(alice) | [
"p4",
"p8",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7184512923582501095915855
% SZS output start Proof for 7184512923582501095915855
5. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (calm(X0) & creative(X0))) [input p4]
9. ! [X0] : (~old(X0) <=> ~quiet(X0)) [input p8]
10. ? [X0] : old(X0) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p9]
12. ? [X... | 0 |
Everyone who is funny is wise or old and vice versa. Everyone who is wise or strong is either not happy or not tall. Everyone who is not old or not strong is wise or not rich. Everyone who is both rich and kind is not calm. Everyone who is both happy and funny is not rich or not funny and vice versa. If lucy is both no... | Mary is not generous. | entailment | (![X]:(funny(X)<=>(wise(X)|old(X))))&
(![X]:((wise(X)|strong(X))=>(~happy(X)<~>~tall(X))))&
(![X]:((~old(X)|~strong(X))=>(wise(X)|~rich(X))))&
(![X]:((rich(X)&kind(X))=>~calm(X)))&
(![X]:((happy(X)&funny(X))<=>(~rich(X)|~funny(X))))&
(((~humble(lucy)&curious(lucy)))=>(creative(paul)))&
(![X]:((funny(X)<~>brave(X))<=>(~... | ~generous(mary) | [
"p1",
"p4",
"p6",
"p9",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3148492043628091659211113
% SZS output start Proof for 3148492043628091659211113
2. ! [X0] : ((strong(X0) | wise(X0)) => (~happy(X0) <~> ~tall(X0))) [input p1]
5. ! [X0] : ((funny(X0) & happy(X0)) <=> (~funny(X0) | ~rich(X0))) [input p4]
7. ! [X0] : ((funny(X0) <~> brave(X0)) <=> (happy(X... | 0 |
Everyone who is either old or not brave is quiet and vice versa. If john is both curious and not tall then someone is both not rich and not wise. Everyone who is wise is not old. Everyone who is either kind or not quiet is either calm or funny and vice versa. Everyone who is not strong is both quiet and calm and vice v... | Fred is happy. | contradiction | (![X]:((old(X)<~>~brave(X))<=>quiet(X)))&
(((curious(john)&~tall(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(calm(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(quiet(X)&calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~strong(X)<~>~happy(X))))&
(((~funny(lucy)<~>patient(lucy)... | happy(fred) | [
"p0",
"p4",
"p5",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4315962791720421831785231
% SZS output start Proof for 4315962791720421831785231
1. ! [X0] : ((old(X0) <~> ~brave(X0)) <=> quiet(X0)) [input p0]
5. ! [X0] : (~strong(X0) <=> (calm(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~strong(X0) <~> ~happy(X0))) [input... | 0 |
If paul is either tall or patient then alice is kind or not strong.
Everyone who is not old is either tall or not rich and vice versa.
Everyone who is not funny or happy is both happy and not quiet and vice versa.
Everyone who is either not curious or not wise is both calm and kind and vice versa.
If fred is both gener... | Susan is wise. | contradiction | (((tall(paul)<~>patient(paul)))=>((kind(alice)|~strong(alice))))&
(![X]:(~old(X)<=>(tall(X)<~>~rich(X))))&
(![X]:((~funny(X)|happy(X))<=>(happy(X)&~quiet(X))))&
(![X]:((~curious(X)<~>~wise(X))<=>(calm(X)&kind(X))))&
(((generous(fred)&humble(fred)))=>(?[X]:((~old(X)|tall(X)))))&
(![X]:(wise(X)=>(curious(X)&wise(X))))&
(... | wise(susan) | [
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 89667696468459720793512
% SZS output start Proof for 89667696468459720793512
6. ! [X0] : (wise(X0) => (wise(X0) & curious(X0))) [input p5]
15. ! [X0] : (curious(X0) => (~quiet(X0) & ~happy(X0))) [input p14]
16. ! [X0] : (~happy(X0) => happy(X0)) [input p15]
24. wise(susan) [input hypothes... | 0 |
If lucy is old or not tall then paul is wise or curious. Everyone who is not humble is either not tall or humble and vice versa. Everyone who is both not strong and not generous is calm or strong. If someone is happy then mary is either tall or kind. Everyone who is either tall or not happy is not happy or not curious ... | Mary is not creative. | entailment | (((old(lucy)|~tall(lucy)))=>((wise(paul)|curious(paul))))&
(![X]:(~humble(X)<=>(~tall(X)<~>humble(X))))&
(![X]:((~strong(X)&~generous(X))=>(calm(X)|strong(X))))&
((?[X]:(happy(X)))=>((tall(mary)<~>kind(mary))))&
(![X]:((tall(X)<~>~happy(X))<=>(~happy(X)|~curious(X))))&
((?[X]:(quiet(X)))<=>((happy(fred)|quiet(fred))))&... | ~creative(mary) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4337648547573920482434674
% SZS output start Proof for 4337648547573920482434674
2. ! [X0] : (~humble(X0) <=> (~tall(X0) <~> humble(X0))) [input p1]
11. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p10]
24. creative(mary) [input hypothesis]
28. ! [X0] : (~tall(X0) => ~creative(X0)) [unus... | 0 |
Everyone who is both creative and funny is creative or wise.
If susan is both not funny and not kind then someone is either wise or not calm.
If someone is either not calm or humble then someone is both not strong and funny.
If susan is not calm or not funny then someone is old.
Everyone who is not patient is generous ... | Alice is not curious. | neutral | (![X]:((creative(X)&funny(X))=>(creative(X)|wise(X))))&
(((~funny(susan)&~kind(susan)))=>(?[X]:((wise(X)<~>~calm(X)))))&
((?[X]:((~calm(X)<~>humble(X))))=>(?[X]:((~strong(X)&funny(X)))))&
(((~calm(susan)|~funny(susan)))=>(?[X]:(old(X))))&
(![X]:(~patient(X)<=>(generous(X)|strong(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~cur... | ~curious(alice) | [] | null | 0 |
Everyone who is both not creative and curious is not humble. Everyone who is either not creative or generous is either not patient or old. Everyone who is either not generous or quiet is not patient and vice versa. Everyone who is both not tall and not happy is either quiet or humble and vice versa. Everyone who is cur... | Mary is not curious. | contradiction | (![X]:((~creative(X)&curious(X))=>~humble(X)))&
(![X]:((~creative(X)<~>generous(X))=>(~patient(X)<~>old(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>~patient(X)))&
(![X]:((~tall(X)&~happy(X))<=>(quiet(X)<~>humble(X))))&
(![X]:(curious(X)<=>(old(X)<~>~patient(X))))&
(![X]:(funny(X)<=>(~funny(X)|~creative(X))))&
(((~curious... | ~curious(mary) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4265154254386179965356505
% SZS output start Proof for 4265154254386179965356505
2. ! [X0] : ((~creative(X0) <~> generous(X0)) => (~patient(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> quiet(X0)) <=> ~patient(X0)) [input p2]
5. ! [X0] : (curious(X0) <=> (old(X0) <~> ~patie... | 0 |
If paul is not creative or not quiet then someone is either not brave or not tall. Everyone who is both not strong and patient is tall. If alice is both funny and tall then someone is either not creative or rich. If fred is not funny then someone is either curious or happy. If lucy is both not generous and generous the... | Alice is funny. | neutral | (((~creative(paul)|~quiet(paul)))=>(?[X]:((~brave(X)<~>~tall(X)))))&
(![X]:((~strong(X)&patient(X))=>tall(X)))&
(((funny(alice)&tall(alice)))=>(?[X]:((~creative(X)<~>rich(X)))))&
((~funny(fred))=>(?[X]:((curious(X)<~>happy(X)))))&
(((~generous(lucy)&generous(lucy)))=>((brave(lucy)&~creative(lucy))))&
((?[X]:((brave(X)&... | funny(alice) | [] | null | 0 |
If someone is both patient and happy then john is both brave and generous and vice versa. Everyone who is both not patient and humble is both not strong and not kind and vice versa. Everyone who is both not old and not rich is not rich. If someone is not curious or not generous then someone is either calm or strong. Ev... | Susan is strong. | entailment | ((?[X]:((patient(X)&happy(X))))<=>((brave(john)&generous(john))))&
(![X]:((~patient(X)&humble(X))<=>(~strong(X)&~kind(X))))&
(![X]:((~old(X)&~rich(X))=>~rich(X)))&
((?[X]:((~curious(X)|~generous(X))))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((brave(X)|~tall(X))=>(~creative(X)&~strong(X))))&
(![X]:(brave(X)<=>(humble(X)... | strong(susan) | [
"p4",
"p6",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6998652760877690072875509
% SZS output start Proof for 6998652760877690072875509
5. ! [X0] : ((~tall(X0) | brave(X0)) => (~strong(X0) & ~creative(X0))) [input p4]
7. ! [X0] : (rich(X0) <=> creative(X0)) [input p6]
10. ~strong(susan) <=> (~humble(alice) & kind(alice)) [input p9]
11. ! [X0]... | 0 |
Everyone who is not wise or not rich is both not brave and not kind and vice versa. Everyone who is not strong is calm or funny and vice versa. Everyone who is quiet or strong is both not humble and not old and vice versa. Everyone who is both not patient and not kind is both strong and not tall and vice versa. Everyon... | John is brave. | neutral | (![X]:((~wise(X)|~rich(X))<=>(~brave(X)&~kind(X))))&
(![X]:(~strong(X)<=>(calm(X)|funny(X))))&
(![X]:((quiet(X)|strong(X))<=>(~humble(X)&~old(X))))&
(![X]:((~patient(X)&~kind(X))<=>(strong(X)&~tall(X))))&
(![X]:((generous(X)<~>~old(X))=>(~strong(X)|rich(X))))&
((?[X]:((humble(X)<~>patient(X))))=>((~curious(john)|~tall(... | brave(john) | [] | null | 0 |
Everyone who is both not generous and quiet is strong or not rich. Everyone who is not rich is either creative or strong and vice versa. Everyone who is either curious or not old is either not curious or rich and vice versa. Everyone who is kind or generous is both quiet and old. If lucy is not quiet then paul is not h... | Fred is not generous. | entailment | (![X]:((~generous(X)&quiet(X))=>(strong(X)|~rich(X))))&
(![X]:(~rich(X)<=>(creative(X)<~>strong(X))))&
(![X]:((curious(X)<~>~old(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((kind(X)|generous(X))=>(quiet(X)&old(X))))&
((~quiet(lucy))=>(~humble(paul)))&
((?[X]:(quiet(X)))<=>((~wise(mary)|old(mary))))&
(![X]:((funny(X)|~curio... | ~generous(fred) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6129198964478390192122724
% SZS output start Proof for 6129198964478390192122724
4. ! [X0] : ((generous(X0) | kind(X0)) => (old(X0) & quiet(X0))) [input p3]
23. ~old(fred) [input p22]
24. generous(fred) [input hypothesis]
31. ! [X0] : ((old(X0) & quiet(X0)) | (~generous(X0) & ~kind(X0))) ... | 0 |
If lucy is old then john is not quiet or quiet. If lucy is not funny or funny then someone is both funny and happy and vice versa. Everyone who is either not brave or tall is old or not brave. Everyone who is both quiet and not generous is not brave or curious and vice versa. If someone is either not funny or curious t... | Alice is wise. | entailment | ((old(lucy))=>((~quiet(john)|quiet(john))))&
(((~funny(lucy)|funny(lucy)))<=>(?[X]:((funny(X)&happy(X)))))&
(![X]:((~brave(X)<~>tall(X))=>(old(X)|~brave(X))))&
(![X]:((quiet(X)&~generous(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~funny(X)<~>curious(X))))=>((~patient(john)<~>~quiet(john))))&
(![X]:((~patient(X)<~>wise(X)... | wise(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 793628474011222056423428
% SZS output start Proof for 793628474011222056423428
6. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> patient(X0)) [input p5]
24. ~wise(alice) [input hypothesis]
47. ! [X0] : ((((~wise(X0) | patient(X0)) & (wise(X0) | ~patient(X0))) | ~patient(X0)) & (patient(X0) | (... | 0 |
If someone is generous then mary is brave or not rich and vice versa. If someone is both not brave and humble then someone is not strong or not humble. Everyone who is either patient or creative is both old and quiet. Everyone who is both not happy and generous is not calm and vice versa. Everyone who is not strong is ... | Mary is not brave. | entailment | ((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient(X)<~>creative(X))=>(old(X)&quiet(X))))&
(![X]:((~happy(X)&generous(X))<=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&... | ~brave(mary) | [
"p0",
"p3",
"p5",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2668308486738160458712942
% SZS output start Proof for 2668308486738160458712942
1. ? [X0] : generous(X0) <=> (~rich(mary) | brave(mary)) [input p0]
4. ! [X0] : ((generous(X0) & ~happy(X0)) <=> ~calm(X0)) [input p3]
6. ! [X0] : ((old(X0) | kind(X0)) <=> quiet(X0)) [input p5]
8. ! [X0] : (... | 0 |
If paul is both curious and patient then someone is both quiet and generous. Everyone who is brave is not creative or kind and vice versa. If susan is either old or happy then lucy is not curious or curious and vice versa. Everyone who is old or not funny is both not creative and not humble and vice versa. Everyone who... | Fred is old. | contradiction | (((curious(paul)&patient(paul)))=>(?[X]:((quiet(X)&generous(X)))))&
(![X]:(brave(X)<=>(~creative(X)|kind(X))))&
(((old(susan)<~>happy(susan)))<=>((~curious(lucy)|curious(lucy))))&
(![X]:((old(X)|~funny(X))<=>(~creative(X)&~humble(X))))&
(![X]:((~creative(X)<~>~old(X))=>happy(X)))&
(![X]:((~strong(X)&~patient(X))<=>~fun... | old(fred) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6955005780368365903507515
% SZS output start Proof for 6955005780368365903507515
8. ! [X0] : (strong(X0) <=> (~quiet(X0) | ~strong(X0))) [input p7]
14. ! [X0] : (~happy(X0) <=> (quiet(X0) & ~humble(X0))) [input p13]
16. ! [X0] : (old(X0) <=> ~happy(X0)) [input p15]
23. old(fred) [input hy... | 0 |
Everyone who is either brave or happy is not patient or not funny. Everyone who is old or not creative is patient or creative. If someone is wise then someone is both not humble and brave. If susan is old or creative then someone is not generous or happy and vice versa. Everyone who is both not patient and kind is eith... | Fred is not funny. | neutral | (![X]:((brave(X)<~>happy(X))=>(~patient(X)|~funny(X))))&
(![X]:((old(X)|~creative(X))=>(patient(X)|creative(X))))&
((?[X]:(wise(X)))=>(?[X]:((~humble(X)&brave(X)))))&
(((old(susan)|creative(susan)))<=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~patient(X)&kind(X))=>(curious(X)<~>brave(X))))&
(![X]:((~kind(X)|~generous(... | ~funny(fred) | [] | null | 0 |
If someone is not curious then someone is humble and vice versa.
Everyone who is both old and not tall is either not curious or not funny and vice versa.
If someone is both not curious and not generous then someone is not wise.
Everyone who is not generous is both not calm and not quiet and vice versa.
If someone is no... | John is old. | neutral | ((?[X]:(~curious(X)))<=>(?[X]:(humble(X))))&
(![X]:((old(X)&~tall(X))<=>(~curious(X)<~>~funny(X))))&
((?[X]:((~curious(X)&~generous(X))))=>(?[X]:(~wise(X))))&
(![X]:(~generous(X)<=>(~calm(X)&~quiet(X))))&
((?[X]:((~happy(X)|patient(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(((brave(paul)&generous(paul)))=>(?[X]:((patient... | old(john) | [] | null | 0 |
Everyone who is either kind or not old is rich and vice versa.
If paul is both not generous and wise then susan is either not curious or not kind.
If paul is patient then someone is both tall and not kind.
Everyone who is both happy and not wise is wise.
Everyone who is both not calm and generous is not calm.
If someon... | Susan is not calm. | contradiction | (![X]:((kind(X)<~>~old(X))<=>rich(X)))&
(((~generous(paul)&wise(paul)))=>((~curious(susan)<~>~kind(susan))))&
((patient(paul))=>(?[X]:((tall(X)&~kind(X)))))&
(![X]:((happy(X)&~wise(X))=>wise(X)))&
(![X]:((~calm(X)&generous(X))=>~calm(X)))&
((?[X]:((~strong(X)|~wise(X))))=>(~old(john)))&
(![X]:((~funny(X)&patient(X))<=>... | ~calm(susan) | [
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 281368023794450749787765
% SZS output start Proof for 281368023794450749787765
7. ! [X0] : ((patient(X0) & ~funny(X0)) <=> ~rich(X0)) [input p6]
10. ? [X0] : (~calm(X0) | ~quiet(X0)) <=> (~funny(mary) & ~patient(mary)) [input p9]
12. ! [X0] : ((rich(X0) | old(X0)) => ~rich(X0)) [input p11... | 0 |
If someone is not rich or not strong then someone is both not brave and old and vice versa.
Everyone who is both kind and not quiet is either not tall or quiet and vice versa.
If paul is either not wise or not tall then lucy is either not calm or kind and vice versa.
If someone is not patient then someone is wise.
If f... | John is not quiet. | contradiction | ((?[X]:((~rich(X)|~strong(X))))<=>(?[X]:((~brave(X)&old(X)))))&
(![X]:((kind(X)&~quiet(X))<=>(~tall(X)<~>quiet(X))))&
(((~wise(paul)<~>~tall(paul)))<=>((~calm(lucy)<~>kind(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:(wise(X))))&
(((quiet(fred)|~curious(fred)))=>(?[X]:(old(X))))&
(![X]:((creative(X)<~>~tall(X))=>generous(X))... | ~quiet(john) | [
"p1",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6541594194117128216730409
% SZS output start Proof for 6541594194117128216730409
2. ! [X0] : ((~quiet(X0) & kind(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p1]
7. ! [X0] : (kind(X0) => (tall(X0) | ~kind(X0))) [input p6]
13. ! [X0] : ((~rich(X0) | tall(X0)) => (~funny(X0) <~> ~rich(X0))) [... | 0 |
Everyone who is either not funny or tall is both kind and tall.
Everyone who is quiet or not generous is not patient and vice versa.
If susan is both not generous and generous then someone is not patient and vice versa.
Everyone who is not old is brave or strong.
If lucy is strong or funny then paul is both not strong ... | John is not kind. | contradiction | (![X]:((~funny(X)<~>tall(X))=>(kind(X)&tall(X))))&
(![X]:((quiet(X)|~generous(X))<=>~patient(X)))&
(((~generous(susan)&generous(susan)))<=>(?[X]:(~patient(X))))&
(![X]:(~old(X)=>(brave(X)|strong(X))))&
(((strong(lucy)|funny(lucy)))=>((~strong(paul)&rich(paul))))&
(((kind(lucy)&happy(lucy)))=>(?[X]:((~strong(X)&curious(... | ~kind(john) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5046318589088196243130680
% SZS output start Proof for 5046318589088196243130680
1. ! [X0] : ((~funny(X0) <~> tall(X0)) => (tall(X0) & kind(X0))) [input p0]
2. ! [X0] : ((~generous(X0) | quiet(X0)) <=> ~patient(X0)) [input p1]
3. (generous(susan) & ~generous(susan)) <=> ? [X0] : ~patient(... | 0 |
Everyone who is both funny and not wise is not curious or not old. Everyone who is rich is both not wise and not strong and vice versa. If someone is either generous or not wise then someone is tall and vice versa. If susan is not patient then lucy is either not strong or not happy. Everyone who is both rich and not fu... | Lucy is not calm. | neutral | (![X]:((funny(X)&~wise(X))=>(~curious(X)|~old(X))))&
(![X]:(rich(X)<=>(~wise(X)&~strong(X))))&
((?[X]:((generous(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((~patient(susan))=>((~strong(lucy)<~>~happy(lucy))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)|~rich(X))))&
((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((~wise(X)<~>curious(... | ~calm(lucy) | [] | null | 0 |
Everyone who is both not calm and not strong is either brave or tall and vice versa.
Everyone who is old is both humble and not kind and vice versa.
Everyone who is old is calm or not wise and vice versa.
If lucy is tall or rich then someone is not creative.
If susan is either generous or not humble then someone is eit... | John is humble. | contradiction | (![X]:((~calm(X)&~strong(X))<=>(brave(X)<~>tall(X))))&
(![X]:(old(X)<=>(humble(X)&~kind(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(((tall(lucy)|rich(lucy)))=>(?[X]:(~creative(X))))&
(((generous(susan)<~>~humble(susan)))<=>(?[X]:((~generous(X)<~>funny(X)))))&
(![X]:((~curious(X)|tall(X))=>(quiet(X)<~>~humble(X))))&
(... | humble(john) | [
"p2",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1813446136172563851156532
% SZS output start Proof for 1813446136172563851156532
3. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p2]
15. ! [X0] : ((wise(X0) | ~patient(X0)) <=> ~humble(X0)) [input p14]
17. ~old(john) [input p16]
25. humble(john) [input hypothesis]
40. ! [X0] : ((o... | 0 |
If someone is both not generous and not old then alice is both rich and not kind.
If someone is both patient and quiet then john is either tall or not patient and vice versa.
Everyone who is not quiet is not calm or strong and vice versa.
Everyone who is either rich or calm is not generous or curious.
Everyone who is o... | John is not humble. | entailment | ((?[X]:((~generous(X)&~old(X))))=>((rich(alice)&~kind(alice))))&
((?[X]:((patient(X)&quiet(X))))<=>((tall(john)<~>~patient(john))))&
(![X]:(~quiet(X)<=>(~calm(X)|strong(X))))&
(![X]:((rich(X)<~>calm(X))=>(~generous(X)|curious(X))))&
(![X]:((old(X)|wise(X))<=>(quiet(X)&~wise(X))))&
((?[X]:((old(X)&~funny(X))))<=>((~gene... | ~humble(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4919097442809575587668545
% SZS output start Proof for 4919097442809575587668545
5. ! [X0] : ((wise(X0) | old(X0)) <=> (~wise(X0) & quiet(X0))) [input p4]
9. ! [X0] : ((~wise(X0) | wise(X0)) <=> (~humble(X0) & ~generous(X0))) [input p8]
25. humble(john) [input hypothesis]
44. ! [X0] : (((... | 0 |
Everyone who is both generous and wise is not funny or not generous and vice versa. If someone is either rich or humble then john is either not wise or not strong and vice versa. Everyone who is either not creative or strong is generous. If paul is both not patient and not curious then lucy is not happy. If fred is bot... | Alice is not strong. | contradiction | (![X]:((generous(X)&wise(X))<=>(~funny(X)|~generous(X))))&
((?[X]:((rich(X)<~>humble(X))))<=>((~wise(john)<~>~strong(john))))&
(![X]:((~creative(X)<~>strong(X))=>generous(X)))&
(((~patient(paul)&~curious(paul)))=>(~happy(lucy)))&
(((kind(fred)&~funny(fred)))<=>(?[X]:(~humble(X))))&
((?[X]:((generous(X)<~>happy(X))))<=>... | ~strong(alice) | [
"p0",
"p5",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 142100349864996433747617
% SZS output start Proof for 142100349864996433747617
1. ! [X0] : ((wise(X0) & generous(X0)) <=> (~generous(X0) | ~funny(X0))) [input p0]
6. ? [X0] : (generous(X0) <~> happy(X0)) <=> (humble(alice) & quiet(alice)) [input p5]
7. ? [X0] : (~strong(X0) <~> ~humble(X0... | 0 |
Everyone who is not generous is not rich and vice versa. Everyone who is both old and happy is either wise or not creative. Everyone who is not tall or strong is either tall or wise and vice versa. If john is both not patient and not brave then alice is either not tall or not brave. Everyone who is both not generous an... | Lucy is quiet. | contradiction | (![X]:(~generous(X)<=>~rich(X)))&
(![X]:((old(X)&happy(X))=>(wise(X)<~>~creative(X))))&
(![X]:((~tall(X)|strong(X))<=>(tall(X)<~>wise(X))))&
(((~patient(john)&~brave(john)))=>((~tall(alice)<~>~brave(alice))))&
(![X]:((~generous(X)&kind(X))<=>(~happy(X)<~>rich(X))))&
((strong(susan))=>((~quiet(alice)&~old(alice))))&
(![... | quiet(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4109525165400853909331688
% SZS output start Proof for 4109525165400853909331688
1. ! [X0] : (~generous(X0) <=> ~rich(X0)) [input p0]
3. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (tall(X0) <~> wise(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~happy(X0) <~> rich(X0))) [input... | 0 |
If alice is either not strong or wise then someone is both calm and not wise.
If mary is either not brave or not humble then john is not generous.
Everyone who is not kind is not brave or old.
Everyone who is not happy is both not wise and not humble.
If susan is either not quiet or not humble then paul is either quiet... | Alice is not strong. | entailment | (((~strong(alice)<~>wise(alice)))=>(?[X]:((calm(X)&~wise(X)))))&
(((~brave(mary)<~>~humble(mary)))=>(~generous(john)))&
(![X]:(~kind(X)=>(~brave(X)|old(X))))&
(![X]:(~happy(X)=>(~wise(X)&~humble(X))))&
(((~quiet(susan)<~>~humble(susan)))<=>((quiet(paul)<~>~brave(paul))))&
(![X]:(calm(X)=>wise(X)))&
((wise(paul))=>(?[X]... | ~strong(alice) | [
"p0",
"p5",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6984575027987315475640444
% SZS output start Proof for 6984575027987315475640444
1. (~strong(alice) <~> wise(alice)) => ? [X0] : (~wise(X0) & calm(X0)) [input p0]
6. ! [X0] : (calm(X0) => wise(X0)) [input p5]
12. ! [X0] : ((brave(X0) <~> ~wise(X0)) <=> (old(X0) | ~humble(X0))) [input p11]... | 0 |
If someone is both not humble and patient then paul is both not calm and humble and vice versa.
Everyone who is patient is old.
Everyone who is both tall and not strong is brave.
Everyone who is both not rich and not calm is old or quiet.
If lucy is either creative or tall then someone is not creative or not brave.
Eve... | Lucy is strong. | neutral | ((?[X]:((~humble(X)&patient(X))))<=>((~calm(paul)&humble(paul))))&
(![X]:(patient(X)=>old(X)))&
(![X]:((tall(X)&~strong(X))=>brave(X)))&
(![X]:((~rich(X)&~calm(X))=>(old(X)|quiet(X))))&
(((creative(lucy)<~>tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~tall(X)|rich(X))<=>(humble(X)|old(X))))&
(![X]:(~patien... | strong(lucy) | [] | null | 0 |
Everyone who is kind is not generous and vice versa. If paul is both old and quiet then someone is rich. Everyone who is both not tall and not kind is not funny. Everyone who is curious is wise or happy. Everyone who is either not strong or tall is not rich or not happy and vice versa. Everyone who is either calm or cu... | Fred is patient. | entailment | (![X]:(kind(X)<=>~generous(X)))&
(((old(paul)&quiet(paul)))=>(?[X]:(rich(X))))&
(![X]:((~tall(X)&~kind(X))=>~funny(X)))&
(![X]:(curious(X)=>(wise(X)|happy(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(~rich(X)|~happy(X))))&
(![X]:((calm(X)<~>curious(X))<=>(old(X)&~curious(X))))&
(((rich(fred)|wise(fred)))=>(~generous(mary)))... | patient(fred) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 360790638972203576943376
% SZS output start Proof for 360790638972203576943376
11. ? [X0] : ~tall(X0) <=> (~quiet(fred) & patient(fred)) [input p10]
20. ? [X0] : (old(X0) & ~tall(X0)) [input p19]
25. ~patient(fred) [input hypothesis]
57. (? [X0] : ~tall(X0) | (quiet(fred) | ~patient(fred)... | 0 |
If lucy is both not strong and not brave then mary is strong or humble.
Everyone who is either humble or funny is either not calm or happy.
If john is funny then john is either generous or not calm and vice versa.
If someone is not rich or quiet then someone is not happy or not wise and vice versa.
If lucy is both not ... | John is tall. | neutral | (((~strong(lucy)&~brave(lucy)))=>((strong(mary)|humble(mary))))&
(![X]:((humble(X)<~>funny(X))=>(~calm(X)<~>happy(X))))&
((funny(john))<=>((generous(john)<~>~calm(john))))&
((?[X]:((~rich(X)|quiet(X))))<=>(?[X]:((~happy(X)|~wise(X)))))&
(((~humble(lucy)&~calm(lucy)))=>((~strong(paul)&~patient(paul))))&
(![X]:((brave(X)... | tall(john) | [] | null | 0 |
Everyone who is humble or happy is either not old or kind and vice versa. If someone is either curious or quiet then someone is quiet or generous and vice versa. Everyone who is either not kind or not calm is patient and vice versa. If alice is not happy or brave then someone is creative. If someone is both generous an... | Susan is not old. | entailment | (![X]:((humble(X)|happy(X))<=>(~old(X)<~>kind(X))))&
((?[X]:((curious(X)<~>quiet(X))))<=>(?[X]:((quiet(X)|generous(X)))))&
(![X]:((~kind(X)<~>~calm(X))<=>patient(X)))&
(((~happy(alice)|brave(alice)))=>(?[X]:(creative(X))))&
((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:((~brave(X)|old(X))=>(~... | ~old(susan) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 536074540652964878673527
% SZS output start Proof for 536074540652964878673527
3. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> patient(X0)) [input p2]
5. ? [X0] : (quiet(X0) & generous(X0)) <=> ? [X0] : (~kind(X0) <~> calm(X0)) [input p4]
6. ! [X0] : ((old(X0) | ~brave(X0)) => (quiet(X0) & ~fu... | 0 |
Everyone who is either happy or not strong is not strong and vice versa.
Everyone who is wise or brave is not funny or brave and vice versa.
If john is not happy or not kind then someone is either not tall or humble.
If alice is not brave or tall then someone is calm.
Everyone who is creative is not brave.
Everyone who... | Mary is not old. | neutral | (![X]:((happy(X)<~>~strong(X))<=>~strong(X)))&
(![X]:((wise(X)|brave(X))<=>(~funny(X)|brave(X))))&
(((~happy(john)|~kind(john)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~brave(alice)|tall(alice)))=>(?[X]:(calm(X))))&
(![X]:(creative(X)=>~brave(X)))&
(![X]:((strong(X)<~>tall(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&ri... | ~old(mary) | [] | null | 0 |
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