premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not creative or wise is not wise.
Everyone who is either not quiet or not wise is strong or not funny.
If someone is generous or not wise then someone is either not strong or not happy.
Everyone who is either happy or old is calm and vice versa.
Everyone who is tall is quiet or patient.
Everyone ... | Susan is curious. | neutral | (![X]:((~creative(X)<~>wise(X))=>~wise(X)))&
(![X]:((~quiet(X)<~>~wise(X))=>(strong(X)|~funny(X))))&
((?[X]:((generous(X)|~wise(X))))=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:((happy(X)<~>old(X))<=>calm(X)))&
(![X]:(tall(X)=>(quiet(X)|patient(X))))&
(![X]:((generous(X)&brave(X))=>(brave(X)<~>~brave(X))))&
(![X]:(pati... | curious(susan) | [] | null | 0 |
If susan is not patient or humble then susan is both creative and tall and vice versa. Everyone who is either not funny or calm is not funny. Everyone who is both curious and not brave is either not funny or not strong and vice versa. Everyone who is not calm or not generous is either not strong or not patient. If some... | Alice is not funny. | contradiction | (((~patient(susan)|humble(susan)))<=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(... | ~funny(alice) | [
"p2",
"p8",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 88005459987302535209010
% SZS output start Proof for 88005459987302535209010
3. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p2]
9. ! [X0] : (generous(X0) <=> (old(X0) & brave(X0))) [input p8]
12. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (creative(X0) & ~wis... | 0 |
Everyone who is either curious or not curious is humble.
If susan is creative then someone is not generous and vice versa.
If alice is either generous or old then someone is wise.
Everyone who is either calm or not wise is rich or patient and vice versa.
If lucy is patient then lucy is tall or calm and vice versa.
Ever... | Lucy is not funny. | contradiction | (![X]:((curious(X)<~>~curious(X))=>humble(X)))&
((creative(susan))<=>(?[X]:(~generous(X))))&
(((generous(alice)<~>old(alice)))=>(?[X]:(wise(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(rich(X)|patient(X))))&
((patient(lucy))<=>((tall(lucy)|calm(lucy))))&
(![X]:((rich(X)&~old(X))=>~tall(X)))&
(((~wise(paul)&quiet(paul)))=>(?[X... | ~funny(lucy) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1969664344821226500260456
% SZS output start Proof for 1969664344821226500260456
11. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p10]
15. ! [X0] : ((wise(X0) & creative(X0)) <=> (strong(X0) | ~funny(X0))) [input p14]
24. ~funny(lucy) [input hypothesis]
53. ! [X0] : ((~funny... | 0 |
If fred is not funny or generous then someone is both not rich and not brave and vice versa.
Everyone who is both quiet and not old is not happy.
Everyone who is either patient or not calm is both brave and not old and vice versa.
If lucy is both not humble and not quiet then someone is not generous or not happy and vi... | Lucy is not humble. | entailment | (((~funny(fred)|generous(fred)))<=>(?[X]:((~rich(X)&~brave(X)))))&
(![X]:((quiet(X)&~old(X))=>~happy(X)))&
(![X]:((patient(X)<~>~calm(X))<=>(brave(X)&~old(X))))&
(((~humble(lucy)&~quiet(lucy)))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:((~old(X)|~tall(X))<=>funny(X)))&
((~happy(alice))=>((~quiet(alice)&~funny(alice))... | ~humble(lucy) | [
"p3",
"p7",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9067305017485655202596821
% SZS output start Proof for 9067305017485655202596821
4. (~quiet(lucy) & ~humble(lucy)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
8. (~happy(susan) | rich(susan)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p7]
13. ! [X0] : (generous(X0) => (~rich(... | 0 |
Everyone who is not quiet or not happy is either wise or quiet and vice versa. If someone is both not curious and not calm then someone is either not quiet or not rich and vice versa. Everyone who is tall or brave is both not funny and funny and vice versa. If fred is both wise and not rich then someone is both calm an... | John is not patient. | entailment | (![X]:((~quiet(X)|~happy(X))<=>(wise(X)<~>quiet(X))))&
((?[X]:((~curious(X)&~calm(X))))<=>(?[X]:((~quiet(X)<~>~rich(X)))))&
(![X]:((tall(X)|brave(X))<=>(~funny(X)&funny(X))))&
(((wise(fred)&~rich(fred)))=>(?[X]:((calm(X)&~rich(X)))))&
(((kind(lucy)|wise(lucy)))=>((patient(mary)|humble(mary))))&
((?[X]:((~creative(X)<~>... | ~patient(john) | [
"p2",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 54859728234722158881347
% SZS output start Proof for 54859728234722158881347
3. ! [X0] : ((brave(X0) | tall(X0)) <=> (funny(X0) & ~funny(X0))) [input p2]
8. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (~funny(X0) & patient(X0))) [input p7]
10. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (patient(X... | 0 |
If alice is curious or not wise then lucy is not kind.
If someone is not strong or quiet then someone is either not creative or patient.
If someone is funny then mary is happy.
Everyone who is either brave or tall is not rich and vice versa.
If paul is strong or calm then someone is both generous and not kind and vice ... | Paul is rich. | entailment | (((curious(alice)|~wise(alice)))=>(~kind(lucy)))&
((?[X]:((~strong(X)|quiet(X))))=>(?[X]:((~creative(X)<~>patient(X)))))&
((?[X]:(funny(X)))=>(happy(mary)))&
(![X]:((brave(X)<~>tall(X))<=>~rich(X)))&
(((strong(paul)|calm(paul)))<=>(?[X]:((generous(X)&~kind(X)))))&
(((~happy(fred)&~quiet(fred)))<=>((old(mary)&~generous(... | rich(paul) | [
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 437934766911322605656809
% SZS output start Proof for 437934766911322605656809
10. ! [X0] : ((~rich(X0) | generous(X0)) <=> (rich(X0) | ~quiet(X0))) [input p9]
15. ! [X0] : (quiet(X0) <=> (funny(X0) | ~curious(X0))) [input p14]
17. ~curious(paul) & ~funny(paul) [input p16]
25. ~rich(paul)... | 0 |
Everyone who is funny or not creative is not curious and vice versa. If susan is strong or not quiet then fred is tall and vice versa. Everyone who is not humble is both not brave and rich and vice versa. If alice is tall or creative then someone is both not happy and not curious and vice versa. If mary is both creativ... | Fred is not funny. | entailment | (![X]:((funny(X)|~creative(X))<=>~curious(X)))&
(((strong(susan)|~quiet(susan)))<=>(tall(fred)))&
(![X]:(~humble(X)<=>(~brave(X)&rich(X))))&
(((tall(alice)|creative(alice)))<=>(?[X]:((~happy(X)&~curious(X)))))&
(((creative(mary)&wise(mary)))<=>(?[X]:((creative(X)|patient(X)))))&
(![X]:((~quiet(X)|brave(X))=>(calm(X)&~s... | ~funny(fred) | [
"p0",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5419203058297491832558690
% SZS output start Proof for 5419203058297491832558690
1. ! [X0] : ((~creative(X0) | funny(X0)) <=> ~curious(X0)) [input p0]
9. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~curious(X0))) [input p8]
14. ! [X0] : (funny(X0) => ~tall(X0)) [input p13]
24. fun... | 0 |
Everyone who is quiet is not patient or not strong.
Everyone who is not brave or patient is kind or quiet and vice versa.
If someone is rich then john is wise.
If mary is not wise then paul is not old and vice versa.
If someone is generous then susan is brave and vice versa.
Everyone who is either wise or not humble is... | Mary is humble. | entailment | (![X]:(quiet(X)=>(~patient(X)|~strong(X))))&
(![X]:((~brave(X)|patient(X))<=>(kind(X)|quiet(X))))&
((?[X]:(rich(X)))=>(wise(john)))&
((~wise(mary))<=>(~old(paul)))&
((?[X]:(generous(X)))<=>(brave(susan)))&
(![X]:((wise(X)<~>~humble(X))<=>(old(X)|~tall(X))))&
((?[X]:((~quiet(X)&creative(X))))<=>((rich(paul)&old(paul))))... | humble(mary) | [
"p1",
"p5",
"p7",
"p9",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6085308252093620281375757
% SZS output start Proof for 6085308252093620281375757
2. ! [X0] : ((patient(X0) | ~brave(X0)) <=> (quiet(X0) | kind(X0))) [input p1]
6. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (~tall(X0) | old(X0))) [input p5]
8. ! [X0] : ((creative(X0) | funny(X0)) <=> (quiet(... | 0 |
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quiet.
Everyone who is both not humble and not generous is either not ri... | Paul is happy. | entailment | ((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~rich(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>(?[X]:((... | happy(paul) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 734235682753560577731012
% SZS output start Proof for 734235682753560577731012
9. ! [X0] : ((~funny(X0) | ~happy(X0)) => (quiet(X0) & creative(X0))) [input p8]
10. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~wise(X0) & wise(X0)) [input p9]
20. ~happy(paul) [input hypothesis]
23. ? ... | 0 |
Everyone who is either brave or funny is both not creative and not brave. If someone is brave then susan is not kind or old and vice versa. If someone is not wise or curious then someone is quiet. Everyone who is both not wise and not funny is either kind or not patient and vice versa. Everyone who is either patient or... | Alice is old. | contradiction | (![X]:((brave(X)<~>funny(X))=>(~creative(X)&~brave(X))))&
((?[X]:(brave(X)))<=>((~kind(susan)|old(susan))))&
((?[X]:((~wise(X)|curious(X))))=>(?[X]:(quiet(X))))&
(![X]:((~wise(X)&~funny(X))<=>(kind(X)<~>~patient(X))))&
(![X]:((patient(X)<~>quiet(X))<=>(happy(X)|wise(X))))&
(![X]:(~quiet(X)=>(wise(X)&~funny(X))))&
(![X]... | old(alice) | [
"p8",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 868702639258955111920489
% SZS output start Proof for 868702639258955111920489
9. ? [X0] : ~wise(X0) <=> ~old(alice) [input p8]
10. (~generous(mary) | ~old(mary)) <=> ? [X0] : (~humble(X0) & creative(X0)) [input p9]
13. ? [X0] : (creative(X0) | ~tall(X0)) => ? [X0] : (~calm(X0) & ~wise(X0... | 0 |
Everyone who is generous is curious.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then someone is not quiet and vice versa.
Everyone who is happy is both creative and not strong and vice versa.
Everyone who is quiet is creative or not generous.
If paul is not kind the... | Paul is rich. | neutral | (![X]:(generous(X)=>curious(X)))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(quiet(X)=>(creative(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~ol... | rich(paul) | [] | null | 0 |
Everyone who is both brave and not generous is brave or humble and vice versa.
If john is both not tall and curious then fred is not creative or not kind.
Everyone who is patient or generous is funny or not old and vice versa.
Everyone who is both generous and curious is both old and not wise.
Everyone who is both quie... | Fred is not creative. | neutral | (![X]:((brave(X)&~generous(X))<=>(brave(X)|humble(X))))&
(((~tall(john)&curious(john)))=>((~creative(fred)|~kind(fred))))&
(![X]:((patient(X)|generous(X))<=>(funny(X)|~old(X))))&
(![X]:((generous(X)&curious(X))=>(old(X)&~wise(X))))&
(![X]:((quiet(X)&~wise(X))=>(wise(X)&~quiet(X))))&
(![X]:(kind(X)<=>(humble(X)&old(X)))... | ~creative(fred) | [] | null | 0 |
Everyone who is not generous is not happy and vice versa.
If someone is both not brave and not strong then lucy is either not tall or rich and vice versa.
Everyone who is old or not calm is tall or quiet.
Everyone who is both not wise and old is either not rich or funny and vice versa.
Everyone who is either calm or no... | Susan is not calm. | contradiction | (![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~old(X)|calm(X))))&
(![X]:(brave(X)=>(kind(X)&wise(X))))&
(![X]:((tall(X)|patient(X)... | ~calm(susan) | [
"p0",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8610006376833402598119940
% SZS output start Proof for 8610006376833402598119940
1. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p0]
5. ! [X0] : ((calm(X0) <~> ~generous(X0)) <=> (calm(X0) | ~old(X0))) [input p4]
14. ! [X0] : ((~happy(X0) | ~old(X0)) <=> generous(X0)) [input p13]
23. ~c... | 0 |
Everyone who is either tall or calm is both curious and not kind and vice versa. If someone is creative then someone is not humble and vice versa. If someone is either not quiet or wise then someone is both rich and not quiet and vice versa. Everyone who is not old or tall is both happy and not calm and vice versa. Eve... | Lucy is not funny. | contradiction | (![X]:((tall(X)<~>calm(X))<=>(curious(X)&~kind(X))))&
((?[X]:(creative(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~old(X)|tall(X))<=>(happy(X)&~calm(X))))&
(![X]:((old(X)<~>~kind(X))=>(kind(X)&patient(X))))&
(![X]:(strong(X)=>(~funny(X)<~>~curious(X))))&
(![X]:... | ~funny(lucy) | [
"p1",
"p3",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2870386850610992577202283
% SZS output start Proof for 2870386850610992577202283
2. ? [X0] : creative(X0) <=> ? [X0] : ~humble(X0) [input p1]
4. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~calm(X0) & happy(X0))) [input p3]
7. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> ~tall(X0)) [input p6]
8. ? [X0]... | 0 |
Everyone who is brave is not tall and vice versa. Everyone who is generous is both not calm and kind. If alice is not wise or not kind then someone is both strong and not kind. Everyone who is either tall or funny is both funny and not generous and vice versa. If lucy is both wise and not curious then lucy is not funny... | Paul is tall. | contradiction | (![X]:(brave(X)<=>~tall(X)))&
(![X]:(generous(X)=>(~calm(X)&kind(X))))&
(((~wise(alice)|~kind(alice)))=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)&~generous(X))))&
(((wise(lucy)&~curious(lucy)))=>(~funny(lucy)))&
(![X]:((~kind(X)|~patient(X))=>(~calm(X)<~>happy(X))))&
(![X]:(~tall(X)=>(calm... | tall(paul) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2752689793116169594974109
% SZS output start Proof for 2752689793116169594974109
4. ! [X0] : ((tall(X0) <~> funny(X0)) <=> (~generous(X0) & funny(X0))) [input p3]
14. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (curious(X0) | funny(X0))) [input p13]
24. tall(paul) [input hypothesis]
44. ! [X... | 0 |
Everyone who is calm is both not generous and not curious. Everyone who is either not old or creative is both not curious and not wise. Everyone who is quiet or rich is both not strong and not creative and vice versa. Everyone who is either not tall or old is either kind or patient. If susan is both calm and tall then ... | Fred is humble. | contradiction | (![X]:(calm(X)=>(~generous(X)&~curious(X))))&
(![X]:((~old(X)<~>creative(X))=>(~curious(X)&~wise(X))))&
(![X]:((quiet(X)|rich(X))<=>(~strong(X)&~creative(X))))&
(![X]:((~tall(X)<~>old(X))=>(kind(X)<~>patient(X))))&
(((calm(susan)&tall(susan)))=>((~patient(paul)&~generous(paul))))&
(![X]:((happy(X)&~old(X))=>(creative(X... | humble(fred) | [
"p2",
"p8",
"p9",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7652433862190716327454959
% SZS output start Proof for 7652433862190716327454959
3. ! [X0] : ((rich(X0) | quiet(X0)) <=> (~creative(X0) & ~strong(X0))) [input p2]
9. ? [X0] : (~quiet(X0) <~> creative(X0)) <=> ? [X0] : ~patient(X0) [input p8]
10. ! [X0] : (~brave(X0) <=> (brave(X0) & funny... | 0 |
If someone is not old then someone is either brave or patient.
If susan is not strong then paul is not happy or happy.
If paul is not funny or not calm then paul is not quiet.
If someone is both strong and tall then john is not creative.
If susan is not generous or not old then someone is either not funny or generous.
... | Mary is not curious. | entailment | ((?[X]:(~old(X)))=>(?[X]:((brave(X)<~>patient(X)))))&
((~strong(susan))=>((~happy(paul)|happy(paul))))&
(((~funny(paul)|~calm(paul)))=>(~quiet(paul)))&
((?[X]:((strong(X)&tall(X))))=>(~creative(john)))&
(((~generous(susan)|~old(susan)))=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((tall(X)&patient(X))<=>(~curious(X)&wi... | ~curious(mary) | [
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 942822860473874218988415
% SZS output start Proof for 942822860473874218988415
8. ! [X0] : (old(X0) <=> ~strong(X0)) [input p7]
9. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (~quiet(X0) | strong(X0))) [input p8]
16. ? [X0] : (curious(X0) | happy(X0)) => ? [X0] : (brave(X0) & ~old(X0)) [input ... | 0 |
If alice is brave or not creative then alice is not brave and vice versa. Everyone who is creative or curious is tall or not happy. If alice is not wise then someone is not old and vice versa. If someone is both brave and patient then someone is either calm or creative and vice versa. If someone is either not funny or ... | John is calm. | neutral | (((brave(alice)|~creative(alice)))<=>(~brave(alice)))&
(![X]:((creative(X)|curious(X))=>(tall(X)|~happy(X))))&
((~wise(alice))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((calm(X)<~>creative(X)))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((patient(paul)|~kind(paul))))&
((?[X]:(~generous(X)))=>((rich(lucy)<... | calm(john) | [] | null | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa. If fred is both not funny and not wise then someone is patient and vice versa. If someone is both not happy and not wise then someone is not wise or curious and vice versa. If paul is curious then someone is both not old and humble.... | Susan is curious. | contradiction | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((~happy(X)&~wise(X))))<=>(?[X]:((~wise(X)|curious(X)))))&
((curious(paul))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~generous(X)&~calm(X))=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=... | curious(susan) | [
"p0",
"p1",
"p7",
"p8",
"p10",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1314993005141450173499500
% SZS output start Proof for 1314993005141450173499500
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
2. (~wise(fred) & ~funny(fred)) <=> ? [X0] : patient(X0) [input p1]
8. ? [X0] : patient(X0) <=> ? [X0] : (calm(X0) <~> crea... | 0 |
Everyone who is either not rich or not calm is not brave or not rich and vice versa.
Everyone who is not old or wise is either wise or not patient and vice versa.
If someone is not happy then alice is both not tall and not happy.
Everyone who is calm is both patient and not patient and vice versa.
If someone is both cu... | Susan is strong. | entailment | (![X]:((~rich(X)<~>~calm(X))<=>(~brave(X)|~rich(X))))&
(![X]:((~old(X)|wise(X))<=>(wise(X)<~>~patient(X))))&
((?[X]:(~happy(X)))=>((~tall(alice)&~happy(alice))))&
(![X]:(calm(X)<=>(patient(X)&~patient(X))))&
((?[X]:((curious(X)&calm(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
((curious(paul))<=>((~kind(alice)<~>~humble(a... | strong(susan) | [
"p0",
"p1",
"p3",
"p6",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2204460828672506593329306
% SZS output start Proof for 2204460828672506593329306
1. ! [X0] : ((~rich(X0) <~> ~calm(X0)) <=> (~rich(X0) | ~brave(X0))) [input p0]
2. ! [X0] : ((wise(X0) | ~old(X0)) <=> (wise(X0) <~> ~patient(X0))) [input p1]
4. ! [X0] : (calm(X0) <=> (~patient(X0) & patient... | 0 |
If paul is both quiet and not old then someone is curious or not tall and vice versa.
If someone is strong or not curious then paul is both creative and old.
If susan is either not humble or not generous then fred is not wise or wise.
If someone is not brave then alice is not happy and vice versa.
Everyone who is not s... | Alice is not curious. | neutral | (((quiet(paul)&~old(paul)))<=>(?[X]:((curious(X)|~tall(X)))))&
((?[X]:((strong(X)|~curious(X))))=>((creative(paul)&old(paul))))&
(((~humble(susan)<~>~generous(susan)))=>((~wise(fred)|wise(fred))))&
((?[X]:(~brave(X)))<=>(~happy(alice)))&
(![X]:((~strong(X)|~old(X))=>~creative(X)))&
(![X]:((curious(X)<~>creative(X))<=>(... | ~curious(alice) | [] | null | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | John is quiet. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | quiet(john) | [
"p2",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2404452586405804701236807
% SZS output start Proof for 2404452586405804701236807
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
If someone is either patient or kind then fred is either not rich or brave.
If mary is patient or happy then mary is either quiet or strong.
Everyone who is either happy or old is either happy or not brave.
Everyone who is not brave is tall or brave and vice versa.
Everyone who is calm is not curious and vice versa.
If... | Paul is not rich. | entailment | ((?[X]:((patient(X)<~>kind(X))))=>((~rich(fred)<~>brave(fred))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>old(X))=>(happy(X)<~>~brave(X))))&
(![X]:(~brave(X)<=>(tall(X)|brave(X))))&
(![X]:(calm(X)<=>~curious(X)))&
(((old(susan)<~>~patient(susan)))<=>((~calm(john)|curious(john... | ~rich(paul) | [
"p4",
"p6",
"p8",
"p13",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 884883000056215873491619
% SZS output start Proof for 884883000056215873491619
5. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p4]
7. ! [X0] : (old(X0) <=> (~rich(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : (~calm(X0) => ~rich(X0)) [input p8]
14. ? [X0] : (~curious(X0) <~> creative(X0)) => ... | 0 |
If lucy is not calm or not happy then john is both funny and wise.
If susan is both funny and curious then john is not brave or funny and vice versa.
Everyone who is not generous is both funny and happy and vice versa.
Everyone who is rich is not curious or not wise and vice versa.
Everyone who is wise is both wise and... | Mary is creative. | neutral | (((~calm(lucy)|~happy(lucy)))=>((funny(john)&wise(john))))&
(((funny(susan)&curious(susan)))<=>((~brave(john)|funny(john))))&
(![X]:(~generous(X)<=>(funny(X)&happy(X))))&
(![X]:(rich(X)<=>(~curious(X)|~wise(X))))&
(![X]:(wise(X)<=>(wise(X)&~strong(X))))&
(![X]:(~calm(X)=>(~calm(X)|creative(X))))&
((?[X]:((~kind(X)|rich... | creative(mary) | [] | null | 0 |
If john is both calm and not curious then someone is not calm or not creative and vice versa.
Everyone who is both wise and patient is either not wise or not tall and vice versa.
Everyone who is not humble or generous is both not funny and funny.
Everyone who is not humble is both kind and not old.
If lucy is not stron... | Paul is patient. | contradiction | (((calm(john)&~curious(john)))<=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((wise(X)&patient(X))<=>(~wise(X)<~>~tall(X))))&
(![X]:((~humble(X)|generous(X))=>(~funny(X)&funny(X))))&
(![X]:(~humble(X)=>(kind(X)&~old(X))))&
(((~strong(lucy)|brave(lucy)))<=>((quiet(mary)|~kind(mary))))&
(![X]:(generous(X)<=>(patient(X)|wise... | patient(paul) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 684045727501379842730094
% SZS output start Proof for 684045727501379842730094
3. ! [X0] : ((generous(X0) | ~humble(X0)) => (funny(X0) & ~funny(X0))) [input p2]
6. ! [X0] : (generous(X0) <=> (wise(X0) | patient(X0))) [input p5]
23. patient(paul) [input hypothesis]
25. ! [X0] : ((funny(X0)... | 0 |
If someone is both brave and not rich then lucy is not patient.
If lucy is either tall or funny then someone is not rich or not tall and vice versa.
If alice is strong then someone is creative and vice versa.
If mary is either not rich or funny then someone is either not generous or not old.
If john is both not quiet a... | Fred is not quiet. | entailment | ((?[X]:((brave(X)&~rich(X))))=>(~patient(lucy)))&
(((tall(lucy)<~>funny(lucy)))<=>(?[X]:((~rich(X)|~tall(X)))))&
((strong(alice))<=>(?[X]:(creative(X))))&
(((~rich(mary)<~>funny(mary)))=>(?[X]:((~generous(X)<~>~old(X)))))&
(((~quiet(john)&~old(john)))<=>((~creative(mary)<~>~calm(mary))))&
(((wise(fred)&~old(fred)))<=>(... | ~quiet(fred) | [
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5505339747402680617665787
% SZS output start Proof for 5505339747402680617665787
7. ! [X0] : ((~strong(X0) | humble(X0)) <=> (~curious(X0) & ~quiet(X0))) [input p6]
14. ! [X0] : ((curious(X0) | generous(X0)) => patient(X0)) [input p13]
15. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~quiet(X0)... | 0 |
Everyone who is patient is not creative and vice versa.
If susan is tall or not generous then paul is either wise or funny.
If alice is either not old or not happy then someone is not patient.
Everyone who is humble or not happy is patient and vice versa.
If paul is not curious or not happy then john is both kind and w... | Mary is not creative. | contradiction | (![X]:(patient(X)<=>~creative(X)))&
(((tall(susan)|~generous(susan)))=>((wise(paul)<~>funny(paul))))&
(((~old(alice)<~>~happy(alice)))=>(?[X]:(~patient(X))))&
(![X]:((humble(X)|~happy(X))<=>patient(X)))&
(((~curious(paul)|~happy(paul)))<=>((kind(john)&wise(john))))&
(((~curious(susan)&~creative(susan)))=>(?[X]:((~humbl... | ~creative(mary) | [
"p0",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2009440877353350832509924
% SZS output start Proof for 2009440877353350832509924
1. ! [X0] : (patient(X0) <=> ~creative(X0)) [input p0]
16. ~patient(mary) <=> ? [X0] : patient(X0) [input p15]
21. ? [X0] : patient(X0) [input p20]
25. ~creative(mary) [input hypothesis]
37. ! [X0] : ((patien... | 0 |
Everyone who is both patient and rich is both tall and strong and vice versa.
Everyone who is funny or not strong is either calm or brave and vice versa.
Everyone who is quiet is both not calm and not old.
Everyone who is either tall or not creative is either rich or not patient and vice versa.
If fred is either not hu... | Fred is humble. | contradiction | (![X]:((patient(X)&rich(X))<=>(tall(X)&strong(X))))&
(![X]:((funny(X)|~strong(X))<=>(calm(X)<~>brave(X))))&
(![X]:(quiet(X)=>(~calm(X)&~old(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(rich(X)<~>~patient(X))))&
(((~humble(fred)<~>tall(fred)))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![... | humble(fred) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7221615344490778397214784
% SZS output start Proof for 7221615344490778397214784
8. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (funny(X0) | strong(X0))) [input p7]
15. ! [X0] : (humble(X0) => (patient(X0) & funny(X0))) [input p14]
21. humble(fred) [input hypothesis]
32. ! [X0] : ((patient(X0... | 0 |
Everyone who is not strong is creative and vice versa.
If someone is not brave or old then lucy is either creative or not rich and vice versa.
If fred is either not calm or wise then alice is either not strong or not wise and vice versa.
If someone is quiet then mary is both tall and not generous and vice versa.
If mar... | Mary is quiet. | contradiction | (![X]:(~strong(X)<=>creative(X)))&
((?[X]:((~brave(X)|old(X))))<=>((creative(lucy)<~>~rich(lucy))))&
(((~calm(fred)<~>wise(fred)))<=>((~strong(alice)<~>~wise(alice))))&
((?[X]:(quiet(X)))<=>((tall(mary)&~generous(mary))))&
(((~calm(mary)<~>~kind(mary)))=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((old(X)|~humble(X))<=>(~k... | quiet(mary) | [
"p3",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1588408920788445048620533
% SZS output start Proof for 1588408920788445048620533
4. ? [X0] : quiet(X0) <=> (~generous(mary) & tall(mary)) [input p3]
9. ! [X0] : ((~generous(X0) & kind(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p8]
14. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (~kind(X0)... | 0 |
Everyone who is quiet is both quiet and creative and vice versa.
Everyone who is curious or not kind is not tall or not happy and vice versa.
Everyone who is either kind or not creative is funny or patient.
If someone is rich or not strong then someone is happy.
Everyone who is not wise is not quiet or not humble.
Ever... | John is quiet. | contradiction | (![X]:(quiet(X)<=>(quiet(X)&creative(X))))&
(![X]:((curious(X)|~kind(X))<=>(~tall(X)|~happy(X))))&
(![X]:((kind(X)<~>~creative(X))=>(funny(X)|patient(X))))&
((?[X]:((rich(X)|~strong(X))))=>(?[X]:(happy(X))))&
(![X]:(~wise(X)=>(~quiet(X)|~humble(X))))&
(![X]:(rich(X)<=>humble(X)))&
(![X]:((~kind(X)<~>~calm(X))=>(curious... | quiet(john) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7180695851686899960233037
% SZS output start Proof for 7180695851686899960233037
1. ! [X0] : (quiet(X0) <=> (creative(X0) & quiet(X0))) [input p0]
9. ! [X0] : ((~strong(X0) | creative(X0)) <=> ~creative(X0)) [input p8]
22. quiet(john) [input hypothesis]
39. ! [X0] : ((quiet(X0) | (~creati... | 0 |
If paul is rich then fred is not tall or patient.
Everyone who is strong or not patient is both strong and quiet.
Everyone who is not creative or not curious is patient and vice versa.
If someone is calm or tall then susan is both old and creative and vice versa.
Everyone who is not generous is either creative or not r... | Paul is calm. | neutral | ((rich(paul))=>((~tall(fred)|patient(fred))))&
(![X]:((strong(X)|~patient(X))=>(strong(X)&quiet(X))))&
(![X]:((~creative(X)|~curious(X))<=>patient(X)))&
((?[X]:((calm(X)|tall(X))))<=>((old(susan)&creative(susan))))&
(![X]:(~generous(X)<=>(creative(X)<~>~rich(X))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~curious(X)&~... | calm(paul) | [] | null | 0 |
Everyone who is both not tall and not strong is either curious or not creative and vice versa.
Everyone who is not tall or quiet is either humble or brave.
Everyone who is both wise and not patient is brave or not patient.
If someone is either not kind or happy then paul is both not kind and happy and vice versa.
Every... | Alice is quiet. | neutral | (![X]:((~tall(X)&~strong(X))<=>(curious(X)<~>~creative(X))))&
(![X]:((~tall(X)|quiet(X))=>(humble(X)<~>brave(X))))&
(![X]:((wise(X)&~patient(X))=>(brave(X)|~patient(X))))&
((?[X]:((~kind(X)<~>happy(X))))<=>((~kind(paul)&happy(paul))))&
(![X]:((happy(X)|brave(X))<=>(quiet(X)&creative(X))))&
(![X]:((kind(X)|~kind(X))<=>(... | quiet(alice) | [] | null | 0 |
If someone is rich or tall then lucy is both not brave and not kind.
If mary is either curious or wise then fred is both patient and not curious and vice versa.
Everyone who is kind is not brave.
Everyone who is not strong is not curious and vice versa.
Everyone who is both rich and not kind is both patient and calm an... | Fred is creative. | contradiction | ((?[X]:((rich(X)|tall(X))))=>((~brave(lucy)&~kind(lucy))))&
(((curious(mary)<~>wise(mary)))<=>((patient(fred)&~curious(fred))))&
(![X]:(kind(X)=>~brave(X)))&
(![X]:(~strong(X)<=>~curious(X)))&
(![X]:((rich(X)&~kind(X))<=>(patient(X)&calm(X))))&
(((creative(fred)|~rich(fred)))=>((wise(paul)&generous(paul))))&
((~wise(al... | creative(fred) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 217509290444555136869083
% SZS output start Proof for 217509290444555136869083
6. (~rich(fred) | creative(fred)) => (generous(paul) & wise(paul)) [input p5]
22. ~wise(paul) [input p21]
25. creative(fred) [input hypothesis]
35. (generous(paul) & wise(paul)) | (rich(fred) & ~creative(fred))... | 0 |
Everyone who is kind or not wise is either calm or happy and vice versa. Everyone who is wise is either not brave or tall. If someone is not calm then someone is not humble. Everyone who is not generous is both curious and brave and vice versa. Everyone who is either not patient or generous is not brave and vice versa.... | Paul is tall. | entailment | (![X]:((kind(X)|~wise(X))<=>(calm(X)<~>happy(X))))&
(![X]:(wise(X)=>(~brave(X)<~>tall(X))))&
((?[X]:(~calm(X)))=>(?[X]:(~humble(X))))&
(![X]:(~generous(X)<=>(curious(X)&brave(X))))&
(![X]:((~patient(X)<~>generous(X))<=>~brave(X)))&
(![X]:(creative(X)<=>(~funny(X)|humble(X))))&
((?[X]:((humble(X)&rich(X))))<=>(?[X]:(old... | tall(paul) | [
"p1",
"p3",
"p4",
"p9",
"p10",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2189767897941465947964181
% SZS output start Proof for 2189767897941465947964181
2. ! [X0] : (wise(X0) => (~brave(X0) <~> tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) <=> (brave(X0) & curious(X0))) [input p3]
5. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> ~brave(X0)) [input p4]
10. ... | 0 |
Everyone who is not old is not rich or rich and vice versa.
Everyone who is both wise and brave is strong or not curious.
Everyone who is wise or not calm is not patient and vice versa.
Everyone who is tall is either rich or not funny and vice versa.
If someone is both old and not curious then someone is tall or funny ... | Mary is curious. | contradiction | (![X]:(~old(X)<=>(~rich(X)|rich(X))))&
(![X]:((wise(X)&brave(X))=>(strong(X)|~curious(X))))&
(![X]:((wise(X)|~calm(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(rich(X)<~>~funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((tall(X)|funny(X)))))&
((?[X]:((brave(X)|wise(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
((?[X]:(~rich(X... | curious(mary) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7299344995511095729102141
% SZS output start Proof for 7299344995511095729102141
1. ! [X0] : (~old(X0) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : (tall(X0) <=> (rich(X0) <~> ~funny(X0))) [input p3]
5. ? [X0] : (~curious(X0) & old(X0)) <=> ? [X0] : (funny(X0) | tall(X0)) [input p4]... | 0 |
If paul is not creative then lucy is either tall or not rich.
Everyone who is either funny or tall is not calm or not creative and vice versa.
Everyone who is not humble or not curious is not kind or not brave and vice versa.
Everyone who is either not calm or wise is not calm or happy and vice versa.
Everyone who is n... | Fred is not tall. | entailment | ((~creative(paul))=>((tall(lucy)<~>~rich(lucy))))&
(![X]:((funny(X)<~>tall(X))<=>(~calm(X)|~creative(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~calm(X)|happy(X))))&
(![X]:((~kind(X)|~calm(X))=>(creative(X)<~>kind(X))))&
(((generous(susan)|~curious(susan)))=>(kind(al... | ~tall(fred) | [
"p3",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3690407872308937484303374
% SZS output start Proof for 3690407872308937484303374
4. ! [X0] : ((~calm(X0) <~> wise(X0)) <=> (happy(X0) | ~calm(X0))) [input p3]
11. ! [X0] : ((tall(X0) <~> generous(X0)) <=> wise(X0)) [input p10]
20. ~calm(fred) & ~generous(fred) [input p19]
25. tall(fred) [... | 0 |
Everyone who is either humble or strong is either not kind or old.
Everyone who is not happy is not old and vice versa.
Everyone who is rich is both old and patient and vice versa.
Everyone who is not patient or patient is not calm or not rich and vice versa.
If lucy is either not wise or quiet then someone is both gen... | Lucy is not quiet. | entailment | (![X]:((humble(X)<~>strong(X))=>(~kind(X)<~>old(X))))&
(![X]:(~happy(X)<=>~old(X)))&
(![X]:(rich(X)<=>(old(X)&patient(X))))&
(![X]:((~patient(X)|patient(X))<=>(~calm(X)|~rich(X))))&
(((~wise(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&curious(X)))))&
(((funny(mary)&~funny(mary)))<=>(funny(lucy)))&
(![X]:(funny(X)=>(~bra... | ~quiet(lucy) | [
"p1",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 523399330779548598525272
% SZS output start Proof for 523399330779548598525272
2. ! [X0] : (~happy(X0) <=> ~old(X0)) [input p1]
10. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (wise(X0) & calm(X0))) [input p9]
12. ! [X0] : (calm(X0) <=> (wise(X0) | ~calm(X0))) [input p11]
15. ! [X0] : ((~quie... | 0 |
Everyone who is either brave or calm is humble and vice versa.
If mary is either kind or not calm then alice is curious or not kind and vice versa.
If someone is either funny or old then mary is either wise or not humble and vice versa.
If alice is not brave then someone is not strong or quiet.
Everyone who is tall or ... | Alice is not brave. | neutral | (![X]:((brave(X)<~>calm(X))<=>humble(X)))&
(((kind(mary)<~>~calm(mary)))<=>((curious(alice)|~kind(alice))))&
((?[X]:((funny(X)<~>old(X))))<=>((wise(mary)<~>~humble(mary))))&
((~brave(alice))=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((tall(X)|old(X))=>~kind(X)))&
(![X]:((~curious(X)&~quiet(X))<=>(~humble(X)<~>quiet(X))))... | ~brave(alice) | [] | null | 0 |
Everyone who is generous is either not patient or not creative and vice versa. Everyone who is not curious or funny is both not curious and not quiet and vice versa. Everyone who is either not quiet or curious is not generous or not funny and vice versa. Everyone who is creative or not humble is either tall or generous... | Lucy is quiet. | neutral | (![X]:(generous(X)<=>(~patient(X)<~>~creative(X))))&
(![X]:((~curious(X)|funny(X))<=>(~curious(X)&~quiet(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(~generous(X)|~funny(X))))&
(![X]:((creative(X)|~humble(X))<=>(tall(X)<~>generous(X))))&
(((~kind(john)&patient(john)))=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:((~tall(X)<~>~w... | quiet(lucy) | [] | null | 0 |
If mary is rich or quiet then lucy is either not wise or kind.
Everyone who is funny or not curious is not wise.
If someone is both patient and brave then lucy is not brave or not curious and vice versa.
If someone is not old then fred is either wise or rich and vice versa.
If someone is either not tall or not happy th... | Mary is humble. | entailment | (((rich(mary)|quiet(mary)))=>((~wise(lucy)<~>kind(lucy))))&
(![X]:((funny(X)|~curious(X))=>~wise(X)))&
((?[X]:((patient(X)&brave(X))))<=>((~brave(lucy)|~curious(lucy))))&
((?[X]:(~old(X)))<=>((wise(fred)<~>rich(fred))))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((~old(X)|~strong(X))<=>(... | humble(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7446952971901488238815603
% SZS output start Proof for 7446952971901488238815603
21. humble(mary) [input p20]
25. ~humble(mary) [input hypothesis]
151. humble(mary) [cnf transformation 21]
158. ~humble(mary) [cnf transformation 25]
283. 27 <=> humble(mary) [avatar definition]
361. 27 [ava... | 0 |
Everyone who is not rich is either not old or not rich and vice versa.
Everyone who is either not rich or not kind is either not brave or not funny and vice versa.
Everyone who is not kind or not funny is old or funny and vice versa.
If someone is funny then someone is either curious or not kind.
Everyone who is not st... | Susan is patient. | entailment | (![X]:(~rich(X)<=>(~old(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>~kind(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)|~funny(X))<=>(old(X)|funny(X))))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~kind(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((~tall(X)|patient(X))<=>(tall(X)&~calm(X))))&
(... | patient(susan) | [
"p0",
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6706640180595315511976896
% SZS output start Proof for 6706640180595315511976896
1. ! [X0] : (~rich(X0) <=> (~old(X0) <~> ~rich(X0))) [input p0]
6. ! [X0] : ((patient(X0) | ~tall(X0)) <=> (~calm(X0) & tall(X0))) [input p5]
7. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (~tall(X0) <~> kind(X0)... | 0 |
Everyone who is not old or not generous is happy or not brave and vice versa. If fred is both wise and not kind then lucy is both kind and strong. Everyone who is not curious is either tall or patient and vice versa. If paul is either quiet or not rich then lucy is generous and vice versa. If john is either funny or cr... | John is not happy. | entailment | (![X]:((~old(X)|~generous(X))<=>(happy(X)|~brave(X))))&
(((wise(fred)&~kind(fred)))=>((kind(lucy)&strong(lucy))))&
(![X]:(~curious(X)<=>(tall(X)<~>patient(X))))&
(((quiet(paul)<~>~rich(paul)))<=>(generous(lucy)))&
(((funny(john)<~>creative(john)))=>(?[X]:((tall(X)|~tall(X)))))&
((?[X]:((~patient(X)|~calm(X))))=>(?[X]:(... | ~happy(john) | [
"p2",
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3813818150341053133130470
% SZS output start Proof for 3813818150341053133130470
3. ! [X0] : (~curious(X0) <=> (tall(X0) <~> patient(X0))) [input p2]
6. ? [X0] : (~calm(X0) | ~patient(X0)) => ? [X0] : (~curious(X0) & curious(X0)) [input p5]
13. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (kind... | 0 |
If lucy is either kind or not funny then someone is both humble and generous and vice versa.
Everyone who is either not calm or not generous is not curious or brave and vice versa.
If someone is not old or humble then mary is not funny and vice versa.
If lucy is both not curious and not tall then someone is not generou... | Paul is tall. | entailment | (((kind(lucy)<~>~funny(lucy)))<=>(?[X]:((humble(X)&generous(X)))))&
(![X]:((~calm(X)<~>~generous(X))<=>(~curious(X)|brave(X))))&
((?[X]:((~old(X)|humble(X))))<=>(~funny(mary)))&
(((~curious(lucy)&~tall(lucy)))=>(?[X]:((~generous(X)|kind(X)))))&
(((kind(mary)<~>happy(mary)))<=>(?[X]:((curious(X)<~>wise(X)))))&
(((curiou... | tall(paul) | [
"p2",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6644654376784123266439771
% SZS output start Proof for 6644654376784123266439771
3. ? [X0] : (humble(X0) | ~old(X0)) <=> ~funny(mary) [input p2]
14. (~tall(paul) | ~wise(paul)) => (funny(mary) & ~wise(mary)) [input p13]
20. happy(paul) & ~old(paul) [input p19]
25. ~tall(paul) [input hypot... | 0 |
If fred is both not creative and not calm then susan is both wise and not brave and vice versa. Everyone who is not wise is both not funny and old. If someone is either not calm or funny then john is not kind or rich. Everyone who is both not wise and not generous is not strong or curious and vice versa. Everyone who i... | Lucy is funny. | contradiction | (((~creative(fred)&~calm(fred)))<=>((wise(susan)&~brave(susan))))&
(![X]:(~wise(X)=>(~funny(X)&old(X))))&
((?[X]:((~calm(X)<~>funny(X))))=>((~kind(john)|rich(john))))&
(![X]:((~wise(X)&~generous(X))<=>(~strong(X)|curious(X))))&
(![X]:((tall(X)|funny(X))=>(humble(X)<~>curious(X))))&
(![X]:(~wise(X)=>~humble(X)))&
(![X]:... | funny(lucy) | [
"p1",
"p3",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5740311794316244755115159
% SZS output start Proof for 5740311794316244755115159
2. ! [X0] : (~wise(X0) => (old(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (curious(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((funny(X0) | tall(X0)) => (humble(X0) <~> curious... | 0 |
If someone is either not humble or creative then someone is not wise.
Everyone who is not funny is both not strong and not kind and vice versa.
If lucy is both not curious and not humble then john is both not creative and not calm and vice versa.
If someone is not rich then someone is not humble or curious and vice ver... | John is tall. | contradiction | ((?[X]:((~humble(X)<~>creative(X))))=>(?[X]:(~wise(X))))&
(![X]:(~funny(X)<=>(~strong(X)&~kind(X))))&
(((~curious(lucy)&~humble(lucy)))<=>((~creative(john)&~calm(john))))&
((?[X]:(~rich(X)))<=>(?[X]:((~humble(X)|curious(X)))))&
(![X]:((~humble(X)&~brave(X))<=>(~strong(X)&generous(X))))&
((?[X]:((~quiet(X)<~>brave(X))))... | tall(john) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 867073542034205163476405
% SZS output start Proof for 867073542034205163476405
10. ! [X0] : (~tall(X0) <=> (brave(X0) | curious(X0))) [input p9]
11. ! [X0] : ((~generous(X0) | ~curious(X0)) => curious(X0)) [input p10]
25. tall(john) [input hypothesis]
36. ! [X0] : (curious(X0) | (generous... | 0 |
If someone is humble or rich then john is either old or patient and vice versa. If someone is either not strong or happy then paul is both funny and not brave. Everyone who is both not humble and not calm is either rich or humble. If someone is either not calm or not wise then someone is strong or wise and vice versa. ... | John is rich. | entailment | ((?[X]:((humble(X)|rich(X))))<=>((old(john)<~>patient(john))))&
((?[X]:((~strong(X)<~>happy(X))))=>((funny(paul)&~brave(paul))))&
(![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~calm(X)|happy(X))<=>~humble(X)))&
(![X]:((~funny(X)<~>calm(X)... | rich(john) | [
"p2",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5061274135127236461342109
% SZS output start Proof for 5061274135127236461342109
3. ! [X0] : ((~calm(X0) & ~humble(X0)) => (rich(X0) <~> humble(X0))) [input p2]
5. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p4]
9. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p8]
1... | 0 |
Everyone who is either not kind or tall is both not tall and not kind.
If alice is not brave or old then john is both not creative and not funny.
If someone is not tall then someone is both old and rich.
If someone is both not old and not wise then lucy is both not tall and not calm and vice versa.
If john is either ki... | John is not generous. | contradiction | (![X]:((~kind(X)<~>tall(X))=>(~tall(X)&~kind(X))))&
(((~brave(alice)|old(alice)))=>((~creative(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((old(X)&rich(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>((~tall(lucy)&~calm(lucy))))&
(((kind(john)<~>~calm(john)))=>((~quiet(susan)&~creative(susan))))&
(![X]:(~generous(X)=>~cal... | ~generous(john) | [
"p4",
"p5",
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 234939013396249345770609
% SZS output start Proof for 234939013396249345770609
5. (kind(john) <~> ~calm(john)) => (~creative(susan) & ~quiet(susan)) [input p4]
6. ! [X0] : (~generous(X0) => ~calm(X0)) [input p5]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> ~kind(X0)) [input p6]
11. ! [X0... | 0 |
Everyone who is not strong or not creative is old and vice versa.
Everyone who is both strong and not calm is humble or strong and vice versa.
Everyone who is not happy is both kind and not humble.
If fred is both wise and not funny then someone is not calm and vice versa.
If someone is either not tall or not strong th... | Mary is not generous. | entailment | (![X]:((~strong(X)|~creative(X))<=>old(X)))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)|strong(X))))&
(![X]:(~happy(X)=>(kind(X)&~humble(X))))&
(((wise(fred)&~funny(fred)))<=>(?[X]:(~calm(X))))&
((?[X]:((~tall(X)<~>~strong(X))))=>((~tall(alice)&~patient(alice))))&
(![X]:(old(X)<=>(humble(X)&wise(X))))&
((humble(susan))=>... | ~generous(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3672204811463788861555922
% SZS output start Proof for 3672204811463788861555922
17. ~generous(mary) [input p16]
25. generous(mary) [input hypothesis]
144. ~generous(mary) [cnf transformation 17]
155. generous(mary) [cnf transformation 25]
351. $false [subsumption resolution 155,144]
% SZ... | 0 |
Everyone who is both rich and not generous is either strong or not rich and vice versa. Everyone who is kind or not quiet is both creative and kind and vice versa. If someone is happy or generous then john is both patient and not wise and vice versa. If someone is both rich and not brave then someone is both not humble... | Lucy is funny. | contradiction | (![X]:((rich(X)&~generous(X))<=>(strong(X)<~>~rich(X))))&
(![X]:((kind(X)|~quiet(X))<=>(creative(X)&kind(X))))&
((?[X]:((happy(X)|generous(X))))<=>((patient(john)&~wise(john))))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(((brave(susan)<~>calm(susan)))<=>((~wise(lucy)&~creative(lucy))))&
((?[X]:((h... | funny(lucy) | [
"p0",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2820407777760597791940078
% SZS output start Proof for 2820407777760597791940078
1. ! [X0] : ((~generous(X0) & rich(X0)) <=> (strong(X0) <~> ~rich(X0))) [input p0]
12. ! [X0] : ((~strong(X0) | funny(X0)) <=> (brave(X0) & ~strong(X0))) [input p11]
23. ~rich(lucy) [input p22]
24. funny(lucy... | 0 |
If susan is either not funny or generous then someone is not patient or not calm. If fred is both curious and old then mary is both not old and not humble and vice versa. If someone is both not kind and funny then lucy is wise. If susan is not strong then someone is funny. Everyone who is either not creative or not hap... | Lucy is not rich. | entailment | (((~funny(susan)<~>generous(susan)))=>(?[X]:((~patient(X)|~calm(X)))))&
(((curious(fred)&old(fred)))<=>((~old(mary)&~humble(mary))))&
((?[X]:((~kind(X)&funny(X))))=>(wise(lucy)))&
((~strong(susan))=>(?[X]:(funny(X))))&
(![X]:((~creative(X)<~>~happy(X))=>(funny(X)&tall(X))))&
(![X]:(~funny(X)<=>(humble(X)<~>~funny(X))))... | ~rich(lucy) | [
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1707473626534199553748200
% SZS output start Proof for 1707473626534199553748200
2. (old(fred) & curious(fred)) <=> (~humble(mary) & ~old(mary)) [input p1]
6. ! [X0] : (~funny(X0) <=> (humble(X0) <~> ~funny(X0))) [input p5]
7. (~rich(lucy) & ~patient(lucy)) <=> ? [X0] : (old(X0) | ~strong... | 0 |
If mary is not humble or not calm then john is rich. If someone is both happy and not patient then someone is not calm or not funny and vice versa. Everyone who is either wise or happy is both not curious and creative. Everyone who is either humble or creative is both not patient and wise and vice versa. If someone is ... | Fred is not funny. | contradiction | (((~humble(mary)|~calm(mary)))=>(rich(john)))&
((?[X]:((happy(X)&~patient(X))))<=>(?[X]:((~calm(X)|~funny(X)))))&
(![X]:((wise(X)<~>happy(X))=>(~curious(X)&creative(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~patient(X)&wise(X))))&
((?[X]:((~patient(X)&~old(X))))=>(~wise(fred)))&
((?[X]:(~strong(X)))<=>(?[X]:((~calm(X)... | ~funny(fred) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 473684310860822336562239
% SZS output start Proof for 473684310860822336562239
12. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (~funny(X0) & humble(X0))) [input p11]
13. ! [X0] : ((~old(X0) | happy(X0)) <=> (strong(X0) & funny(X0))) [input p12]
25. ~funny(fred) [input hypothesis]
60. ! [X0] ... | 0 |
Everyone who is not quiet is not happy.
If fred is both not wise and humble then lucy is curious and vice versa.
Everyone who is generous or happy is generous or tall.
Everyone who is not brave is not happy or creative and vice versa.
Everyone who is both tall and not humble is both kind and calm.
Everyone who is both ... | Susan is brave. | contradiction | (![X]:(~quiet(X)=>~happy(X)))&
(((~wise(fred)&humble(fred)))<=>(curious(lucy)))&
(![X]:((generous(X)|happy(X))=>(generous(X)|tall(X))))&
(![X]:(~brave(X)<=>(~happy(X)|creative(X))))&
(![X]:((tall(X)&~humble(X))=>(kind(X)&calm(X))))&
(![X]:((~brave(X)&calm(X))=>strong(X)))&
((?[X]:((~kind(X)<~>generous(X))))=>(~quiet(su... | brave(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1247178625666821265995816
% SZS output start Proof for 1247178625666821265995816
10. (~strong(john) & strong(john)) <=> ? [X0] : (~quiet(X0) | brave(X0)) [input p9]
24. brave(susan) [input hypothesis]
51. ((~strong(john) & strong(john)) | ! [X0] : (quiet(X0) & ~brave(X0))) & (? [X0] : (~q... | 0 |
Everyone who is both generous and not funny is not tall or not calm and vice versa. If someone is either brave or not creative then paul is wise and vice versa. If someone is curious then alice is both brave and not happy. If someone is not generous or not old then alice is calm or not calm. Everyone who is both not ri... | John is wise. | entailment | (![X]:((generous(X)&~funny(X))<=>(~tall(X)|~calm(X))))&
((?[X]:((brave(X)<~>~creative(X))))<=>(wise(paul)))&
((?[X]:(curious(X)))=>((brave(alice)&~happy(alice))))&
((?[X]:((~generous(X)|~old(X))))=>((calm(alice)|~calm(alice))))&
(![X]:((~rich(X)&rich(X))<=>old(X)))&
(![X]:((old(X)&kind(X))<=>(tall(X)<~>~wise(X))))&
(((... | wise(john) | [
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 326340046939308475181148
% SZS output start Proof for 326340046939308475181148
5. ! [X0] : ((rich(X0) & ~rich(X0)) <=> old(X0)) [input p4]
6. ! [X0] : ((kind(X0) & old(X0)) <=> (tall(X0) <~> ~wise(X0))) [input p5]
8. ! [X0] : ((~wise(X0) | funny(X0)) => ~tall(X0)) [input p7]
24. ~wise(joh... | 0 |
Everyone who is humble is both not calm and curious and vice versa.
Everyone who is both happy and calm is not strong or strong and vice versa.
If someone is either not humble or not brave then someone is both funny and not wise and vice versa.
If alice is happy then lucy is either not brave or not rich and vice versa.... | Alice is not strong. | entailment | (![X]:(humble(X)<=>(~calm(X)&curious(X))))&
(![X]:((happy(X)&calm(X))<=>(~strong(X)|strong(X))))&
((?[X]:((~humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~wise(X)))))&
((happy(alice))<=>((~brave(lucy)<~>~rich(lucy))))&
((?[X]:((curious(X)|~old(X))))=>(?[X]:((happy(X)&calm(X)))))&
((?[X]:((~wise(X)<~>~calm(X))))=>(?[X]:((... | ~strong(alice) | [
"p1",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 335185623206732787534887
% SZS output start Proof for 335185623206732787534887
2. ! [X0] : ((calm(X0) & happy(X0)) <=> (strong(X0) | ~strong(X0))) [input p1]
9. ! [X0] : ((happy(X0) <~> old(X0)) <=> (calm(X0) & ~tall(X0))) [input p8]
15. ! [X0] : (~strong(X0) <=> (old(X0) <~> ~tall(X0))) ... | 0 |
Everyone who is humble or kind is both patient and strong.
If someone is strong or brave then alice is both quiet and brave and vice versa.
Everyone who is wise or not generous is patient.
If lucy is either not tall or not patient then someone is not humble and vice versa.
Everyone who is both not patient and not happy... | Susan is patient. | entailment | (![X]:((humble(X)|kind(X))=>(patient(X)&strong(X))))&
((?[X]:((strong(X)|brave(X))))<=>((quiet(alice)&brave(alice))))&
(![X]:((wise(X)|~generous(X))=>patient(X)))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X)))&
(![X]:((~creative(X)&tall(X))=>(wise(X)&happy(X))... | patient(susan) | [
"p0",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3751568778115142400558661
% SZS output start Proof for 3751568778115142400558661
1. ! [X0] : ((kind(X0) | humble(X0)) => (strong(X0) & patient(X0))) [input p0]
9. happy(susan) <=> ~brave(susan) [input p8]
13. ! [X0] : ((~wise(X0) & humble(X0)) <=> happy(X0)) [input p12]
14. ! [X0] : (~hap... | 0 |
Everyone who is creative or wise is rich or wise and vice versa. If paul is creative then alice is not humble or not curious. If someone is not kind or happy then john is rich and vice versa. Everyone who is both brave and quiet is either curious or not patient and vice versa. If someone is both old and curious then so... | Alice is not tall. | contradiction | (![X]:((creative(X)|wise(X))<=>(rich(X)|wise(X))))&
((creative(paul))=>((~humble(alice)|~curious(alice))))&
((?[X]:((~kind(X)|happy(X))))<=>(rich(john)))&
(![X]:((brave(X)&quiet(X))<=>(curious(X)<~>~patient(X))))&
((?[X]:((old(X)&curious(X))))<=>(?[X]:((generous(X)&strong(X)))))&
(![X]:(kind(X)=>tall(X)))&
(![X]:(calm(... | ~tall(alice) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 74080961366237487519856
% SZS output start Proof for 74080961366237487519856
3. ? [X0] : (happy(X0) | ~kind(X0)) <=> rich(john) [input p2]
6. ! [X0] : (kind(X0) => tall(X0)) [input p5]
7. ! [X0] : (calm(X0) => (~brave(X0) | ~old(X0))) [input p6]
9. ! [X0] : ((brave(X0) <~> rich(X0)) <=> (... | 0 |
Everyone who is not calm is either not tall or brave and vice versa.
Everyone who is both not rich and patient is not kind and vice versa.
If someone is either not generous or not brave then someone is humble or not rich.
Everyone who is both not old and curious is either curious or creative.
Everyone who is not genero... | Susan is happy. | neutral | (![X]:(~calm(X)<=>(~tall(X)<~>brave(X))))&
(![X]:((~rich(X)&patient(X))<=>~kind(X)))&
((?[X]:((~generous(X)<~>~brave(X))))=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((~old(X)&curious(X))=>(curious(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(funny(X)<~>~rich(X))))&
((?[X]:((strong(X)|~funny(X))))<=>((funny(alice)<~>~creati... | happy(susan) | [] | null | 0 |
Everyone who is happy or brave is either not wise or creative and vice versa.
If someone is patient then alice is patient and vice versa.
Everyone who is not calm or not patient is either calm or not rich.
Everyone who is either not happy or not funny is both not funny and not calm.
If someone is either quiet or humble... | Paul is old. | entailment | (![X]:((happy(X)|brave(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:(patient(X)))<=>(patient(alice)))&
(![X]:((~calm(X)|~patient(X))=>(calm(X)<~>~rich(X))))&
(![X]:((~happy(X)<~>~funny(X))=>(~funny(X)&~calm(X))))&
((?[X]:((quiet(X)<~>humble(X))))<=>(~happy(john)))&
(![X]:((~wise(X)&~generous(X))=>rich(X)))&
((?[X]:((creati... | old(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1771583054427685058222458
% SZS output start Proof for 1771583054427685058222458
20. ~calm(paul) & old(paul) [input p19]
25. ~old(paul) [input hypothesis]
147. old(paul) [cnf transformation 20]
154. ~old(paul) [cnf transformation 25]
321. $false [subsumption resolution 154,147]
% SZS outp... | 0 |
If john is not quiet then someone is both not quiet and not kind and vice versa.
If someone is both not tall and tall then someone is not humble or not rich.
Everyone who is not kind is both curious and not old.
Everyone who is either curious or not curious is both not patient and not strong and vice versa.
Everyone wh... | Paul is not kind. | contradiction | ((~quiet(john))<=>(?[X]:((~quiet(X)&~kind(X)))))&
((?[X]:((~tall(X)&tall(X))))=>(?[X]:((~humble(X)|~rich(X)))))&
(![X]:(~kind(X)=>(curious(X)&~old(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~creative(X)|humble(X))=>(~tall(X)|~quiet(X))))&
(![X]:((old(X)|~old(X))<=>(~humble(X)&~strong... | ~kind(paul) | [
"p2",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3112240098233308362787325
% SZS output start Proof for 3112240098233308362787325
3. ! [X0] : (~kind(X0) => (~old(X0) & curious(X0))) [input p2]
4. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~strong(X0) & ~patient(X0))) [input p3]
17. curious(paul) <~> ~strong(paul) [input p16]
24. ~kin... | 0 |
If someone is not generous then lucy is either brave or not wise.
Everyone who is quiet or rich is either not old or not funny and vice versa.
Everyone who is both tall and not patient is strong or curious.
Everyone who is both brave and not rich is both quiet and not tall.
Everyone who is both wise and not patient is ... | Mary is not kind. | entailment | ((?[X]:(~generous(X)))=>((brave(lucy)<~>~wise(lucy))))&
(![X]:((quiet(X)|rich(X))<=>(~old(X)<~>~funny(X))))&
(![X]:((tall(X)&~patient(X))=>(strong(X)|curious(X))))&
(![X]:((brave(X)&~rich(X))=>(quiet(X)&~tall(X))))&
(![X]:((wise(X)&~patient(X))<=>(~patient(X)&old(X))))&
((?[X]:(~kind(X)))=>(?[X]:(~curious(X))))&
(![X]:... | ~kind(mary) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1396532109274313987765359
% SZS output start Proof for 1396532109274313987765359
8. (old(alice) & ~generous(alice)) <=> ? [X0] : kind(X0) [input p7]
22. quiet(alice) & generous(alice) [input p21]
24. kind(mary) [input hypothesis]
46. ((old(alice) & ~generous(alice)) | ! [X0] : ~kind(X0)) ... | 0 |
Everyone who is tall is not happy or not creative and vice versa.
Everyone who is not creative or humble is humble and vice versa.
Everyone who is both curious and not calm is either not happy or happy and vice versa.
If someone is brave or patient then lucy is not calm and vice versa.
If paul is either funny or tall t... | Paul is funny. | contradiction | (![X]:(tall(X)<=>(~happy(X)|~creative(X))))&
(![X]:((~creative(X)|humble(X))<=>humble(X)))&
(![X]:((curious(X)&~calm(X))<=>(~happy(X)<~>happy(X))))&
((?[X]:((brave(X)|patient(X))))<=>(~calm(lucy)))&
(((funny(paul)<~>tall(paul)))<=>(?[X]:((calm(X)<~>~happy(X)))))&
(![X]:((strong(X)&generous(X))=>(curious(X)&~wise(X))))&... | funny(paul) | [
"p0",
"p2",
"p4",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7003184936480183545532302
% SZS output start Proof for 7003184936480183545532302
1. ! [X0] : (tall(X0) <=> (~creative(X0) | ~happy(X0))) [input p0]
3. ! [X0] : ((~calm(X0) & curious(X0)) <=> (~happy(X0) <~> happy(X0))) [input p2]
5. (funny(paul) <~> tall(paul)) <=> ? [X0] : (calm(X0) <~> ... | 0 |
If someone is brave then someone is either calm or rich and vice versa.
If john is not old then alice is both not strong and quiet and vice versa.
Everyone who is not old or old is kind or not curious.
If someone is either not wise or tall then fred is either not happy or brave and vice versa.
Everyone who is either fu... | Fred is not patient. | entailment | ((?[X]:(brave(X)))<=>(?[X]:((calm(X)<~>rich(X)))))&
((~old(john))<=>((~strong(alice)&quiet(alice))))&
(![X]:((~old(X)|old(X))=>(kind(X)|~curious(X))))&
((?[X]:((~wise(X)<~>tall(X))))<=>((~happy(fred)<~>brave(fred))))&
(![X]:((funny(X)<~>patient(X))<=>(~tall(X)|curious(X))))&
((?[X]:((wise(X)|strong(X))))=>(?[X]:((funny... | ~patient(fred) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1359880523575827393957278
% SZS output start Proof for 1359880523575827393957278
14. ! [X0] : ((tall(X0) | patient(X0)) => (tall(X0) & ~generous(X0))) [input p13]
16. ! [X0] : ((~funny(X0) | funny(X0)) => generous(X0)) [input p15]
23. patient(fred) [input hypothesis]
32. ! [X0] : ((tall(X... | 0 |
If paul is not strong or not humble then someone is happy.
If susan is both creative and not happy then someone is both funny and not humble and vice versa.
If someone is either rich or strong then someone is both creative and not calm.
Everyone who is humble is either not old or strong.
If susan is both not tall and n... | Susan is humble. | contradiction | (((~strong(paul)|~humble(paul)))=>(?[X]:(happy(X))))&
(((creative(susan)&~happy(susan)))<=>(?[X]:((funny(X)&~humble(X)))))&
((?[X]:((rich(X)<~>strong(X))))=>(?[X]:((creative(X)&~calm(X)))))&
(![X]:(humble(X)=>(~old(X)<~>strong(X))))&
(((~tall(susan)&~humble(susan)))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)<~>~happy... | humble(susan) | [
"p2",
"p4",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7282011296535051180459096
% SZS output start Proof for 7282011296535051180459096
3. ? [X0] : (rich(X0) <~> strong(X0)) => ? [X0] : (~calm(X0) & creative(X0)) [input p2]
5. (~humble(susan) & ~tall(susan)) <=> ? [X0] : ~strong(X0) [input p4]
9. ! [X0] : (~rich(X0) <=> (strong(X0) | calm(X0)... | 0 |
If someone is both happy and not creative then someone is not old and vice versa. If alice is either not wise or calm then paul is both not patient and creative. If someone is both kind and curious then john is not generous or curious and vice versa. If someone is not generous then john is either wise or strong. Everyo... | Fred is calm. | neutral | ((?[X]:((happy(X)&~creative(X))))<=>(?[X]:(~old(X))))&
(((~wise(alice)<~>calm(alice)))=>((~patient(paul)&creative(paul))))&
((?[X]:((kind(X)&curious(X))))<=>((~generous(john)|curious(john))))&
((?[X]:(~generous(X)))=>((wise(john)<~>strong(john))))&
(![X]:((~creative(X)|~wise(X))<=>(curious(X)&creative(X))))&
((?[X]:((~... | calm(fred) | [] | null | 0 |
Everyone who is either calm or curious is not curious. Everyone who is either not funny or not strong is both curious and funny and vice versa. If someone is creative or kind then someone is not patient or not strong and vice versa. If someone is either brave or not creative then mary is either patient or not rich and ... | Mary is not humble. | entailment | (![X]:((calm(X)<~>curious(X))=>~curious(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(curious(X)&funny(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~patient(X)|~strong(X)))))&
((?[X]:((brave(X)<~>~creative(X))))<=>((patient(mary)<~>~rich(mary))))&
(![X]:((generous(X)&~quiet(X))=>(~patient(X)&rich(X))))&
((?[X]:((generou... | ~humble(mary) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 397649535966212327453517
% SZS output start Proof for 397649535966212327453517
1. ! [X0] : ((calm(X0) <~> curious(X0)) => ~curious(X0)) [input p0]
6. ? [X0] : (generous(X0) <~> humble(X0)) <=> (brave(alice) & curious(alice)) [input p5]
9. ? [X0] : generous(X0) <=> (~humble(mary) & old(mar... | 0 |
If someone is not strong then someone is both wise and not calm and vice versa. Everyone who is calm or creative is both happy and patient. Everyone who is either not generous or not old is not brave or wise and vice versa. If someone is strong or patient then lucy is either brave or not calm and vice versa. If susan i... | Lucy is brave. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((calm(X)|creative(X))=>(happy(X)&patient(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~brave(X)|wise(X))))&
((?[X]:((strong(X)|patient(X))))<=>((brave(lucy)<~>~calm(lucy))))&
(((~wise(susan)|~brave(susan)))<=>(?[X]:(~curious(X))))&
(((~humble(susan)<~>~kind(susan... | brave(lucy) | [
"p1",
"p2",
"p3",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5411573556592082527654123
% SZS output start Proof for 5411573556592082527654123
2. ! [X0] : ((creative(X0) | calm(X0)) => (patient(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> ~old(X0)) <=> (wise(X0) | ~brave(X0))) [input p2]
4. ? [X0] : (patient(X0) | strong(X0)) <=> (br... | 0 |
Everyone who is brave is both brave and not rich. Everyone who is both not tall and quiet is tall and vice versa. Everyone who is happy is not quiet and vice versa. Everyone who is not patient or happy is both not rich and creative and vice versa. If susan is not curious or not brave then john is both not brave and old... | John is not tall. | entailment | (![X]:(brave(X)=>(brave(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))<=>tall(X)))&
(![X]:(happy(X)<=>~quiet(X)))&
(![X]:((~patient(X)|happy(X))<=>(~rich(X)&creative(X))))&
(((~curious(susan)|~brave(susan)))=>((~brave(john)&old(john))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:(~old(X))))&
((?[X]:((generous(X)&~humble(... | ~tall(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3561432969910977551931773
% SZS output start Proof for 3561432969910977551931773
2. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> tall(X0)) [input p1]
22. tall(john) [input hypothesis]
29. ! [X0] : (((quiet(X0) & ~tall(X0)) | ~tall(X0)) & (tall(X0) | (~quiet(X0) | tall(X0)))) [nnf transformation ... | 0 |
Everyone who is both rich and humble is either rich or not curious and vice versa.
Everyone who is either happy or calm is not creative and vice versa.
Everyone who is tall or not kind is either not patient or creative.
Everyone who is rich is both funny and not kind and vice versa.
Everyone who is not kind is either q... | Fred is not tall. | entailment | (![X]:((rich(X)&humble(X))<=>(rich(X)<~>~curious(X))))&
(![X]:((happy(X)<~>calm(X))<=>~creative(X)))&
(![X]:((tall(X)|~kind(X))=>(~patient(X)<~>creative(X))))&
(![X]:(rich(X)<=>(funny(X)&~kind(X))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~rich(X))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
((... | ~tall(fred) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 272134798130658506496511
% SZS output start Proof for 272134798130658506496511
1. ! [X0] : ((humble(X0) & rich(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : (rich(X0) <=> (~kind(X0) & funny(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (quiet(X0) <~> ~rich(X0))) [input p4]
9.... | 0 |
Everyone who is both rich and not old is creative and vice versa.
Everyone who is both not curious and brave is either curious or tall and vice versa.
Everyone who is not kind or not brave is either not rich or curious and vice versa.
Everyone who is happy is tall or rich and vice versa.
If someone is either not kind o... | Fred is not tall. | neutral | (![X]:((rich(X)&~old(X))<=>creative(X)))&
(![X]:((~curious(X)&brave(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~kind(X)|~brave(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(happy(X)<=>(tall(X)|rich(X))))&
((?[X]:((~kind(X)<~>~patient(X))))=>((~funny(paul)<~>brave(paul))))&
(![X]:((~humble(X)&~brave(X))<=>~rich(X)))&
(![X]:((hum... | ~tall(fred) | [] | null | 0 |
Everyone who is wise is both patient and not funny and vice versa. If mary is not strong or curious then paul is either not kind or rich and vice versa. If someone is either rich or not patient then someone is not old or patient and vice versa. Everyone who is not rich is not kind or strong. Everyone who is not quiet o... | Alice is not happy. | entailment | (![X]:(wise(X)<=>(patient(X)&~funny(X))))&
(((~strong(mary)|curious(mary)))<=>((~kind(paul)<~>rich(paul))))&
((?[X]:((rich(X)<~>~patient(X))))<=>(?[X]:((~old(X)|patient(X)))))&
(![X]:(~rich(X)=>(~kind(X)|strong(X))))&
(![X]:((~quiet(X)|happy(X))=>~happy(X)))&
(![X]:((happy(X)&calm(X))<=>(brave(X)|wise(X))))&
((?[X]:((~... | ~happy(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3392050181751301108117420
% SZS output start Proof for 3392050181751301108117420
5. ! [X0] : ((happy(X0) | ~quiet(X0)) => ~happy(X0)) [input p4]
23. happy(alice) [input hypothesis]
29. ! [X0] : (~happy(X0) | (~happy(X0) & quiet(X0))) [ennf transformation 5]
106. ~happy(X0) | ~happy(X0) [c... | 0 |
If alice is both not tall and not quiet then mary is either not creative or rich. Everyone who is tall or not generous is not strong or not curious and vice versa. If someone is either strong or humble then someone is either wise or not kind. Everyone who is not kind or patient is both not humble and generous. Everyone... | Susan is curious. | contradiction | (((~tall(alice)&~quiet(alice)))=>((~creative(mary)<~>rich(mary))))&
(![X]:((tall(X)|~generous(X))<=>(~strong(X)|~curious(X))))&
((?[X]:((strong(X)<~>humble(X))))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((~kind(X)|patient(X))=>(~humble(X)&generous(X))))&
(![X]:((~brave(X)|tall(X))=>(~brave(X)<~>calm(X))))&
((?[X]:((~tall... | curious(susan) | [
"p1",
"p2",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1165539481528129476019
% SZS output start Proof for 1165539481528129476019
2. ! [X0] : ((~generous(X0) | tall(X0)) <=> (~curious(X0) | ~strong(X0))) [input p1]
3. ? [X0] : (strong(X0) <~> humble(X0)) => ? [X0] : (wise(X0) <~> ~kind(X0)) [input p2]
4. ! [X0] : ((patient(X0) | ~kind(X0)) =>... | 0 |
Everyone who is not calm or calm is both calm and not old and vice versa. If someone is both brave and not quiet then alice is not generous or patient and vice versa. Everyone who is both strong and rich is both happy and not kind. If someone is both kind and quiet then john is happy or not funny. Everyone who is eithe... | Mary is kind. | contradiction | (![X]:((~calm(X)|calm(X))<=>(calm(X)&~old(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>((~generous(alice)|patient(alice))))&
(![X]:((strong(X)&rich(X))=>(happy(X)&~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>((happy(john)|~funny(john))))&
(![X]:((humble(X)<~>~strong(X))=>(~happy(X)<~>happy(X))))&
(![X]:((brave(X)|curious(X))=... | kind(mary) | [
"p0",
"p5",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7274196223423006814632692
% SZS output start Proof for 7274196223423006814632692
1. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (~old(X0) & calm(X0))) [input p0]
6. ! [X0] : ((curious(X0) | brave(X0)) => wise(X0)) [input p5]
9. ! [X0] : ((wise(X0) | rich(X0)) <=> quiet(X0)) [input p8]
11. ! [X0]... | 0 |
Everyone who is either calm or not curious is not tall.
Everyone who is either humble or not happy is either quiet or not tall and vice versa.
If fred is not humble or humble then lucy is not curious or curious and vice versa.
If susan is tall or not creative then mary is either not wise or rich.
Everyone who is not cr... | Susan is not tall. | contradiction | (![X]:((calm(X)<~>~curious(X))=>~tall(X)))&
(![X]:((humble(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(((~humble(fred)|humble(fred)))<=>((~curious(lucy)|curious(lucy))))&
(((tall(susan)|~creative(susan)))=>((~wise(mary)<~>rich(mary))))&
(![X]:((~creative(X)|quiet(X))=>(~happy(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~humb... | ~tall(susan) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6679331383771870761335501
% SZS output start Proof for 6679331383771870761335501
6. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~humble(X0) | creative(X0))) [input p5]
16. ! [X0] : (rich(X0) <=> (humble(X0) & ~rich(X0))) [input p15]
25. ~tall(susan) [input hypothesis]
39. ! [X0] : ((((humb... | 0 |
Everyone who is both not curious and old is both calm and creative and vice versa. Everyone who is both not calm and calm is either not quiet or not happy. If fred is not humble then fred is humble. Everyone who is either brave or not creative is both not creative and wise and vice versa. If susan is both not strong an... | Alice is not generous. | contradiction | (![X]:((~curious(X)&old(X))<=>(calm(X)&creative(X))))&
(![X]:((~calm(X)&calm(X))=>(~quiet(X)<~>~happy(X))))&
((~humble(fred))=>(humble(fred)))&
(![X]:((brave(X)<~>~creative(X))<=>(~creative(X)&wise(X))))&
(((~strong(susan)&~happy(susan)))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(generous(X)<=>(old(X)<~>creative(X))))&... | ~generous(alice) | [
"p3",
"p5",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7393373486835619842500
% SZS output start Proof for 7393373486835619842500
4. ! [X0] : ((brave(X0) <~> ~creative(X0)) <=> (wise(X0) & ~creative(X0))) [input p3]
6. ! [X0] : (generous(X0) <=> (old(X0) <~> creative(X0))) [input p5]
7. ! [X0] : ((creative(X0) <~> ~old(X0)) <=> (~brave(X0) <~... | 0 |
Everyone who is generous or calm is both not kind and happy and vice versa. Everyone who is not generous or not humble is both not curious and old. Everyone who is old is not brave and vice versa. Everyone who is not strong or creative is not humble. If paul is both curious and not kind then someone is not brave. If so... | Fred is creative. | contradiction | (![X]:((generous(X)|calm(X))<=>(~kind(X)&happy(X))))&
(![X]:((~generous(X)|~humble(X))=>(~curious(X)&old(X))))&
(![X]:(old(X)<=>~brave(X)))&
(![X]:((~strong(X)|creative(X))=>~humble(X)))&
(((curious(paul)&~kind(paul)))=>(?[X]:(~brave(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~brave(X)&~old(X)))))&
((?[X]:((funny(X)&~brave... | creative(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8804043865472749878388042
% SZS output start Proof for 8804043865472749878388042
8. ! [X0] : (~strong(X0) <=> (creative(X0) <~> ~strong(X0))) [input p7]
20. creative(fred) [input hypothesis]
39. ! [X0] : ((~strong(X0) | ((creative(X0) | strong(X0)) & (~strong(X0) | ~creative(X0)))) & (((s... | 0 |
If someone is both strong and generous then paul is not happy and vice versa. Everyone who is either not wise or not generous is not funny or quiet. Everyone who is not wise is not rich or not tall. If mary is both not old and not humble then lucy is curious. Everyone who is either not old or wise is not strong or humb... | Mary is strong. | contradiction | ((?[X]:((strong(X)&generous(X))))<=>(~happy(paul)))&
(![X]:((~wise(X)<~>~generous(X))=>(~funny(X)|quiet(X))))&
(![X]:(~wise(X)=>(~rich(X)|~tall(X))))&
(((~old(mary)&~humble(mary)))=>(curious(lucy)))&
(![X]:((~old(X)<~>wise(X))<=>(~strong(X)|humble(X))))&
(![X]:(~patient(X)=>(strong(X)&~curious(X))))&
((?[X]:(~creative(... | strong(mary) | [
"p6",
"p7",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4657904034304034201998233
% SZS output start Proof for 4657904034304034201998233
7. ? [X0] : ~creative(X0) <=> (~rich(lucy) & strong(lucy)) [input p6]
8. ! [X0] : ((strong(X0) <~> ~creative(X0)) => calm(X0)) [input p7]
14. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (~strong(X0) & quiet(X0)... | 0 |
If fred is happy then someone is not strong. Everyone who is either strong or wise is either not kind or calm and vice versa. Everyone who is either kind or tall is either creative or not kind. Everyone who is not wise is not calm or patient and vice versa. If lucy is either not patient or not funny then mary is not ha... | Fred is patient. | contradiction | ((happy(fred))=>(?[X]:(~strong(X))))&
(![X]:((strong(X)<~>wise(X))<=>(~kind(X)<~>calm(X))))&
(![X]:((kind(X)<~>tall(X))=>(creative(X)<~>~kind(X))))&
(![X]:(~wise(X)<=>(~calm(X)|patient(X))))&
(((~patient(lucy)<~>~funny(lucy)))<=>(~happy(mary)))&
((?[X]:((~old(X)&~kind(X))))<=>((rich(alice)|~brave(alice))))&
(((~humble(... | patient(fred) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8047512514213918001240351
% SZS output start Proof for 8047512514213918001240351
4. ! [X0] : (~wise(X0) <=> (patient(X0) | ~calm(X0))) [input p3]
16. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p15]
24. patient(fred) [input hypothesis]
39. ! [X0] : ((~wise(X0) | (~patient(X0) ... | 0 |
If someone is not curious then susan is curious or not humble and vice versa.
If alice is either old or not patient then someone is tall or curious.
Everyone who is both wise and not quiet is curious or strong and vice versa.
If lucy is either not wise or tall then someone is brave and vice versa.
Everyone who is both ... | Lucy is funny. | contradiction | ((?[X]:(~curious(X)))<=>((curious(susan)|~humble(susan))))&
(((old(alice)<~>~patient(alice)))=>(?[X]:((tall(X)|curious(X)))))&
(![X]:((wise(X)&~quiet(X))<=>(curious(X)|strong(X))))&
(((~wise(lucy)<~>tall(lucy)))<=>(?[X]:(brave(X))))&
(![X]:((funny(X)&curious(X))=>~wise(X)))&
(![X]:((tall(X)&funny(X))<=>(old(X)&~patient... | funny(lucy) | [
"p0",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8290328976717391263670435
% SZS output start Proof for 8290328976717391263670435
1. ? [X0] : ~curious(X0) <=> (~humble(susan) | curious(susan)) [input p0]
13. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (happy(X0) & ~curious(X0))) [input p12]
16. ? [X0] : (kind(X0) | ~humble(X0)) <=> (~cal... | 0 |
If mary is brave then someone is generous or not generous and vice versa.
If lucy is both not kind and not humble then someone is either wise or old and vice versa.
Everyone who is both old and funny is both calm and not humble and vice versa.
If susan is both not happy and not tall then susan is both calm and not quie... | Lucy is not strong. | entailment | ((brave(mary))<=>(?[X]:((generous(X)|~generous(X)))))&
(((~kind(lucy)&~humble(lucy)))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((old(X)&funny(X))<=>(calm(X)&~humble(X))))&
(((~happy(susan)&~tall(susan)))=>((calm(susan)&~quiet(susan))))&
(![X]:(curious(X)<=>(funny(X)|~creative(X))))&
(![X]:((funny(X)<~>kind(X))<=>patient(X... | ~strong(lucy) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3439689784573388531163136
% SZS output start Proof for 3439689784573388531163136
8. ! [X0] : (old(X0) => (~old(X0) & ~generous(X0))) [input p7]
11. ! [X0] : (~old(X0) <=> (~strong(X0) & ~kind(X0))) [input p10]
21. strong(lucy) [input hypothesis]
25. ! [X0] : ((~old(X0) & ~generous(X0)) | ... | 0 |
If alice is either generous or quiet then john is not generous or not wise and vice versa.
Everyone who is either calm or strong is either not patient or curious.
Everyone who is both happy and not funny is both calm and not strong.
Everyone who is either not happy or curious is both funny and humble and vice versa.
Ev... | John is not old. | neutral | (((generous(alice)<~>quiet(alice)))<=>((~generous(john)|~wise(john))))&
(![X]:((calm(X)<~>strong(X))=>(~patient(X)<~>curious(X))))&
(![X]:((happy(X)&~funny(X))=>(calm(X)&~strong(X))))&
(![X]:((~happy(X)<~>curious(X))<=>(funny(X)&humble(X))))&
(![X]:((~quiet(X)&generous(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>((... | ~old(john) | [] | null | 0 |
Everyone who is both not humble and not strong is humble or not tall and vice versa.
If someone is both wise and quiet then someone is both humble and quiet and vice versa.
Everyone who is either quiet or not generous is both not wise and not happy and vice versa.
Everyone who is either not humble or not strong is tall... | Alice is not wise. | entailment | (![X]:((~humble(X)&~strong(X))<=>(humble(X)|~tall(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((quiet(X)<~>~generous(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(tall(X)|~old(X))))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:(calm(X))))&
((happy(paul))=>((kind(lucy)|calm(lu... | ~wise(alice) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 227752027453496981245245
% SZS output start Proof for 227752027453496981245245
1. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & wise(X0)) <=> ? [X0] : (quiet(X0) & humble(X0)) [input p1]
7. ! [X0] : (brave(X0) <=> (wise(X0) <~> cre... | 0 |
Everyone who is patient or generous is either not old or brave and vice versa. If susan is either not happy or creative then someone is not strong. If mary is either curious or creative then someone is wise and vice versa. If someone is either calm or kind then fred is either happy or not brave and vice versa. Everyone... | Lucy is not humble. | entailment | (![X]:((patient(X)|generous(X))<=>(~old(X)<~>brave(X))))&
(((~happy(susan)<~>creative(susan)))=>(?[X]:(~strong(X))))&
(((curious(mary)<~>creative(mary)))<=>(?[X]:(wise(X))))&
((?[X]:((calm(X)<~>kind(X))))<=>((happy(fred)<~>~brave(fred))))&
(![X]:((generous(X)&~happy(X))<=>(creative(X)|patient(X))))&
((patient(susan))=>... | ~humble(lucy) | [
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1171746629854428586521001
% SZS output start Proof for 1171746629854428586521001
8. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~happy(X0) & curious(X0))) [input p7]
12. ! [X0] : ((happy(X0) & generous(X0)) <=> (~creative(X0) | ~tall(X0))) [input p11]
16. ! [X0] : ((kind(X0) <~> ~kind(X0)) => ... | 0 |
If lucy is not old or humble then someone is either patient or kind and vice versa.
Everyone who is both calm and not wise is either generous or not calm and vice versa.
If alice is both not humble and not creative then someone is either not patient or wise and vice versa.
Everyone who is both old and generous is not f... | Mary is brave. | contradiction | (((~old(lucy)|humble(lucy)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((calm(X)&~wise(X))<=>(generous(X)<~>~calm(X))))&
(((~humble(alice)&~creative(alice)))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((old(X)&generous(X))=>~funny(X)))&
(![X]:((~brave(X)|~happy(X))=>~brave(X)))&
((?[X]:((~wise(X)|brave(X))))=>(humble(l... | brave(mary) | [
"p1",
"p4",
"p6",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2971985530333044920523953
% SZS output start Proof for 2971985530333044920523953
2. ! [X0] : ((~wise(X0) & calm(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p1]
5. ! [X0] : ((~happy(X0) | ~brave(X0)) => ~brave(X0)) [input p4]
7. ! [X0] : ((generous(X0) | strong(X0)) => (calm(X0) & ~tall(... | 0 |
Everyone who is both not quiet and not funny is both humble and not kind and vice versa.
Everyone who is old or not tall is humble and vice versa.
If someone is not tall or not kind then john is both not kind and not funny.
Everyone who is not rich or patient is creative or calm.
If alice is wise or not generous then s... | Alice is not strong. | neutral | (![X]:((~quiet(X)&~funny(X))<=>(humble(X)&~kind(X))))&
(![X]:((old(X)|~tall(X))<=>humble(X)))&
((?[X]:((~tall(X)|~kind(X))))=>((~kind(john)&~funny(john))))&
(![X]:((~rich(X)|patient(X))=>(creative(X)|calm(X))))&
(((wise(alice)|~generous(alice)))=>((tall(susan)|old(susan))))&
(((~generous(fred)|happy(fred)))<=>(kind(pau... | ~strong(alice) | [] | null | 0 |
If someone is calm or not brave then someone is not brave or not curious.
If lucy is not calm or tall then someone is both not old and kind.
If mary is kind or tall then fred is both tall and wise and vice versa.
If john is generous then someone is either kind or tall and vice versa.
If someone is generous then fred is... | John is humble. | contradiction | ((?[X]:((calm(X)|~brave(X))))=>(?[X]:((~brave(X)|~curious(X)))))&
(((~calm(lucy)|tall(lucy)))=>(?[X]:((~old(X)&kind(X)))))&
(((kind(mary)|tall(mary)))<=>((tall(fred)&wise(fred))))&
((generous(john))<=>(?[X]:((kind(X)<~>tall(X)))))&
((?[X]:(generous(X)))=>(calm(fred)))&
(![X]:((wise(X)&happy(X))=>(~old(X)<~>~rich(X))))&... | humble(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 462970723714176736556103
% SZS output start Proof for 462970723714176736556103
10. ! [X0] : (~funny(X0) <=> (funny(X0) & humble(X0))) [input p9]
24. humble(john) [input hypothesis]
63. ! [X0] : ((~funny(X0) | (~funny(X0) | ~humble(X0))) & ((funny(X0) & humble(X0)) | funny(X0))) [nnf trans... | 0 |
If fred is brave then mary is either tall or curious and vice versa. If susan is both old and not calm then fred is both not wise and happy. If someone is both not wise and brave then someone is either strong or not curious and vice versa. If someone is either not brave or calm then someone is funny or strong and vice ... | Alice is tall. | contradiction | ((brave(fred))<=>((tall(mary)<~>curious(mary))))&
(((old(susan)&~calm(susan)))=>((~wise(fred)&happy(fred))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:((strong(X)<~>~curious(X)))))&
((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(... | tall(alice) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8799225240127227772883115
% SZS output start Proof for 8799225240127227772883115
5. ! [X0] : (~kind(X0) <=> ~happy(X0)) [input p4]
7. ! [X0] : (creative(X0) => (~happy(X0) & ~creative(X0))) [input p6]
9. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (~creative(X0) <~> ~happy(X0))) [input p8]
24. ... | 0 |
Everyone who is both not generous and not creative is either not tall or quiet.
Everyone who is humble is funny or curious and vice versa.
Everyone who is wise or not funny is quiet and vice versa.
If fred is both tall and brave then someone is rich or humble and vice versa.
If fred is either wise or brave then someone... | Fred is quiet. | entailment | (![X]:((~generous(X)&~creative(X))=>(~tall(X)<~>quiet(X))))&
(![X]:(humble(X)<=>(funny(X)|curious(X))))&
(![X]:((wise(X)|~funny(X))<=>quiet(X)))&
(((tall(fred)&brave(fred)))<=>(?[X]:((rich(X)|humble(X)))))&
(((wise(fred)<~>brave(fred)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
((generous(mary))<=>(?[X]:((old(X)&~quiet(X))))... | quiet(fred) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7091201156795705839659697
% SZS output start Proof for 7091201156795705839659697
2. ! [X0] : (humble(X0) <=> (curious(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~funny(X0) | wise(X0)) <=> quiet(X0)) [input p2]
4. (brave(fred) & tall(fred)) <=> ? [X0] : (humble(X0) | rich(X0)) [input p3]
5... | 0 |
Everyone who is both strong and not tall is either brave or not happy. Everyone who is either creative or strong is not rich or not humble. Everyone who is generous is either not curious or humble and vice versa. If john is not creative or not funny then someone is both not funny and strong and vice versa. Everyone who... | Mary is generous. | neutral | (![X]:((strong(X)&~tall(X))=>(brave(X)<~>~happy(X))))&
(![X]:((creative(X)<~>strong(X))=>(~rich(X)|~humble(X))))&
(![X]:(generous(X)<=>(~curious(X)<~>humble(X))))&
(((~creative(john)|~funny(john)))<=>(?[X]:((~funny(X)&strong(X)))))&
(![X]:((~generous(X)&~brave(X))<=>(~humble(X)&calm(X))))&
(![X]:(creative(X)<=>~brave(X... | generous(mary) | [] | null | 0 |
Everyone who is not creative or not brave is both creative and old.
Everyone who is calm or not creative is not generous and vice versa.
Everyone who is either calm or happy is both not curious and old and vice versa.
Everyone who is either not strong or creative is either creative or tall and vice versa.
If someone is... | Mary is not brave. | neutral | (![X]:((~creative(X)|~brave(X))=>(creative(X)&old(X))))&
(![X]:((calm(X)|~creative(X))<=>~generous(X)))&
(![X]:((calm(X)<~>happy(X))<=>(~curious(X)&old(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(wise(john)))&
(![X]:((~wise(X)|calm(X))<=>(brave(X)<~>funny(X)))... | ~brave(mary) | [] | null | 0 |
If someone is not strong or tall then someone is not wise or curious.
Everyone who is either not wise or patient is strong and vice versa.
If someone is not tall then alice is either creative or not old and vice versa.
If someone is not creative then susan is both not kind and rich.
If someone is not tall or not curiou... | Lucy is not quiet. | contradiction | ((?[X]:((~strong(X)|tall(X))))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((~wise(X)<~>patient(X))<=>strong(X)))&
((?[X]:(~tall(X)))<=>((creative(alice)<~>~old(alice))))&
((?[X]:(~creative(X)))=>((~kind(susan)&rich(susan))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((?[X]:((~generous(X)|happy(X)))... | ~quiet(lucy) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6233275770209894627921412
% SZS output start Proof for 6233275770209894627921412
2. ! [X0] : ((~wise(X0) <~> patient(X0)) <=> strong(X0)) [input p1]
7. ! [X0] : ((calm(X0) | strong(X0)) => (old(X0) & happy(X0))) [input p6]
8. ! [X0] : (old(X0) <=> strong(X0)) [input p7]
9. ! [X0] : ((~cur... | 0 |
Everyone who is both not rich and not humble is either old or rich and vice versa. If someone is either not humble or kind then alice is not happy or not humble. Everyone who is calm or not brave is not old. Everyone who is both not calm and patient is not strong or not tall and vice versa. If john is both not brave an... | Mary is not quiet. | entailment | (![X]:((~rich(X)&~humble(X))<=>(old(X)<~>rich(X))))&
((?[X]:((~humble(X)<~>kind(X))))=>((~happy(alice)|~humble(alice))))&
(![X]:((calm(X)|~brave(X))=>~old(X)))&
(![X]:((~calm(X)&patient(X))<=>(~strong(X)|~tall(X))))&
(((~brave(john)&rich(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(((~quiet(alice)<~>generous(alice)))<... | ~quiet(mary) | [
"p0",
"p2",
"p3",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4603629070034218984429543
% SZS output start Proof for 4603629070034218984429543
1. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (old(X0) <~> rich(X0))) [input p0]
3. ! [X0] : ((~brave(X0) | calm(X0)) => ~old(X0)) [input p2]
4. ! [X0] : ((patient(X0) & ~calm(X0)) <=> (~tall(X0) | ~strong(X0)))... | 0 |
Everyone who is both not humble and not calm is both not kind and not wise and vice versa.
If john is both not quiet and tall then fred is kind and vice versa.
Everyone who is either not strong or calm is both generous and not curious and vice versa.
Everyone who is quiet is both not old and not wise and vice versa.
Ev... | Alice is tall. | entailment | (![X]:((~humble(X)&~calm(X))<=>(~kind(X)&~wise(X))))&
(((~quiet(john)&tall(john)))<=>(kind(fred)))&
(![X]:((~strong(X)<~>calm(X))<=>(generous(X)&~curious(X))))&
(![X]:(quiet(X)<=>(~old(X)&~wise(X))))&
(![X]:((~tall(X)|~old(X))=>(~wise(X)<~>happy(X))))&
(![X]:((humble(X)&~calm(X))=>(~generous(X)|curious(X))))&
(![X]:((h... | tall(alice) | [
"p0",
"p4",
"p9",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1657346458551351298940325
% SZS output start Proof for 1657346458551351298940325
1. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (~wise(X0) & ~kind(X0))) [input p0]
5. ! [X0] : ((~old(X0) | ~tall(X0)) => (~wise(X0) <~> happy(X0))) [input p4]
10. (~humble(john) & ~patient(john)) <=> (~calm(alic... | 0 |
Everyone who is either wise or happy is either quiet or creative and vice versa.
If susan is not creative then someone is tall.
Everyone who is not kind is wise or not kind.
Everyone who is either humble or not creative is not brave or not rich.
If paul is either not creative or brave then susan is not curious.
Everyon... | Fred is not happy. | neutral | (![X]:((wise(X)<~>happy(X))<=>(quiet(X)<~>creative(X))))&
((~creative(susan))=>(?[X]:(tall(X))))&
(![X]:(~kind(X)=>(wise(X)|~kind(X))))&
(![X]:((humble(X)<~>~creative(X))=>(~brave(X)|~rich(X))))&
(((~creative(paul)<~>brave(paul)))=>(~curious(susan)))&
(![X]:((~generous(X)<~>calm(X))=>(~kind(X)&calm(X))))&
(![X]:((quiet... | ~happy(fred) | [] | null | 0 |
Everyone who is both not kind and not tall is patient or creative.
If someone is either not strong or old then mary is both creative and brave.
Everyone who is generous is not old and vice versa.
Everyone who is either not calm or happy is either not creative or strong and vice versa.
Everyone who is kind is both tall ... | Paul is happy. | neutral | (![X]:((~kind(X)&~tall(X))=>(patient(X)|creative(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((creative(mary)&brave(mary))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:((~calm(X)<~>happy(X))<=>(~creative(X)<~>strong(X))))&
(![X]:(kind(X)=>(tall(X)&old(X))))&
(![X]:((generous(X)<~>humble(X))=>(creative(X)|~tall(X))))&
(![X]:(ta... | happy(paul) | [] | null | 0 |
Everyone who is both tall and patient is either not quiet or rich.
If someone is strong then someone is tall.
Everyone who is not patient is not creative or not tall.
Everyone who is both not patient and not wise is either brave or not funny.
Everyone who is both generous and not curious is calm.
If someone is not wise... | Lucy is not tall. | neutral | (![X]:((tall(X)&patient(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:(strong(X)))=>(?[X]:(tall(X))))&
(![X]:(~patient(X)=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)<~>~funny(X))))&
(![X]:((generous(X)&~curious(X))=>calm(X)))&
((?[X]:(~wise(X)))<=>((kind(susan)|~old(susan))))&
((?[X]:((funny(X)<~>genero... | ~tall(lucy) | [] | null | 0 |
If fred is not humble then mary is both humble and not funny.
Everyone who is not calm or not generous is both not humble and not patient.
If susan is not tall then someone is tall or not old and vice versa.
If john is not curious or not creative then someone is either generous or tall and vice versa.
Everyone who is p... | Paul is not kind. | neutral | ((~humble(fred))=>((humble(mary)&~funny(mary))))&
(![X]:((~calm(X)|~generous(X))=>(~humble(X)&~patient(X))))&
((~tall(susan))<=>(?[X]:((tall(X)|~old(X)))))&
(((~curious(john)|~creative(john)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((patient(X)|~rich(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((calm(X)|wise(X))))=>(?[... | ~kind(paul) | [] | null | 0 |
Everyone who is both not rich and brave is either not patient or brave.
Everyone who is not kind is both generous and kind.
Everyone who is either humble or not patient is either not generous or curious and vice versa.
Everyone who is not humble or brave is both not tall and not funny.
If someone is both brave and tall... | John is rich. | contradiction | (![X]:((~rich(X)&brave(X))=>(~patient(X)<~>brave(X))))&
(![X]:(~kind(X)=>(generous(X)&kind(X))))&
(![X]:((humble(X)<~>~patient(X))<=>(~generous(X)<~>curious(X))))&
(![X]:((~humble(X)|brave(X))=>(~tall(X)&~funny(X))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:((~creative(X)<~>~old(X)))))&
(![X]:(quiet(X)<=>patient(X)))&
((?... | rich(john) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 369962197105745987918571
% SZS output start Proof for 369962197105745987918571
15. ! [X0] : ((quiet(X0) | ~tall(X0)) <=> (~rich(X0) & ~quiet(X0))) [input p14]
17. ~tall(john) & ~creative(john) [input p16]
21. rich(john) [input hypothesis]
64. ! [X0] : (((quiet(X0) | ~tall(X0)) | (rich(X0)... | 0 |
If lucy is both kind and not happy then someone is calm or not brave.
If someone is both kind and not curious then mary is not generous and vice versa.
Everyone who is both not generous and not quiet is not funny and vice versa.
If someone is either wise or quiet then mary is not humble and vice versa.
Everyone who is ... | Fred is wise. | entailment | (((kind(lucy)&~happy(lucy)))=>(?[X]:((calm(X)|~brave(X)))))&
((?[X]:((kind(X)&~curious(X))))<=>(~generous(mary)))&
(![X]:((~generous(X)&~quiet(X))<=>~funny(X)))&
((?[X]:((wise(X)<~>quiet(X))))<=>(~humble(mary)))&
(![X]:((~funny(X)&~strong(X))<=>~kind(X)))&
(![X]:((~old(X)&~kind(X))<=>(generous(X)|~wise(X))))&
((?[X]:((... | wise(fred) | [
"p2",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1155374072709045723666942
% SZS output start Proof for 1155374072709045723666942
3. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> ~kind(X0)) [input p4]
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~wise(X0) | generous(X0))) [inpu... | 0 |
Everyone who is both not happy and calm is both brave and not strong and vice versa. Everyone who is not rich or not funny is either brave or old and vice versa. Everyone who is either rich or not creative is either generous or not brave and vice versa. Everyone who is curious is either not funny or rich. Everyone who ... | John is not curious. | entailment | (![X]:((~happy(X)&calm(X))<=>(brave(X)&~strong(X))))&
(![X]:((~rich(X)|~funny(X))<=>(brave(X)<~>old(X))))&
(![X]:((rich(X)<~>~creative(X))<=>(generous(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~funny(X)<~>rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~happy(X)&quiet(X))))&
(![X]:((generous(X)&~patient(X))<=>(humble(X)|st... | ~curious(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5631771651434606460443738
% SZS output start Proof for 5631771651434606460443738
5. ! [X0] : ((~strong(X0) | ~curious(X0)) <=> (quiet(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((~patient(X0) & generous(X0)) <=> (strong(X0) | humble(X0))) [input p5]
8. ! [X0] : ((rich(X0) & strong(X0)) => ... | 0 |
Everyone who is humble or not curious is both not creative and not generous. Everyone who is rich or not funny is not calm or creative. Everyone who is patient is both curious and happy. Everyone who is not old or not wise is either not happy or tall. Everyone who is patient is both calm and strong. If someone is eithe... | Susan is not humble. | neutral | (![X]:((humble(X)|~curious(X))=>(~creative(X)&~generous(X))))&
(![X]:((rich(X)|~funny(X))=>(~calm(X)|creative(X))))&
(![X]:(patient(X)=>(curious(X)&happy(X))))&
(![X]:((~old(X)|~wise(X))=>(~happy(X)<~>tall(X))))&
(![X]:(patient(X)=>(calm(X)&strong(X))))&
((?[X]:((~happy(X)<~>creative(X))))=>(?[X]:((humble(X)|~brave(X))... | ~humble(susan) | [] | null | 0 |
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