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 generous or not tall is either not generous or tall. If someone is not quiet then lucy is either creative or not strong and vice versa. Everyone who is either not rich or calm is both not tall and creative. If someone is funny or generous then john is quiet. Everyone who is either strong or n... | John is not patient. | contradiction | (![X]:((~generous(X)<~>~tall(X))=>(~generous(X)<~>tall(X))))&
((?[X]:(~quiet(X)))<=>((creative(lucy)<~>~strong(lucy))))&
(![X]:((~rich(X)<~>calm(X))=>(~tall(X)&creative(X))))&
((?[X]:((funny(X)|generous(X))))=>(quiet(john)))&
(![X]:((strong(X)<~>~creative(X))<=>~brave(X)))&
(((~brave(susan)|patient(susan)))<=>(?[X]:((~... | ~patient(john) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6951598350178307131184409
% SZS output start Proof for 6951598350178307131184409
13. ! [X0] : (~patient(X0) <=> (generous(X0) & ~humble(X0))) [input p12]
18. rich(john) & ~generous(john) [input p17]
24. ~patient(john) [input hypothesis]
59. ! [X0] : ((~patient(X0) | (~generous(X0) | humbl... | 0 |
Everyone who is not old or not patient is both not old and not brave and vice versa. If someone is strong or not generous then fred is both not kind and calm and vice versa. Everyone who is brave or not happy is both kind and not calm. Everyone who is rich is wise or not tall. Everyone who is either not curious or not ... | Lucy is quiet. | contradiction | (![X]:((~old(X)|~patient(X))<=>(~old(X)&~brave(X))))&
((?[X]:((strong(X)|~generous(X))))<=>((~kind(fred)&calm(fred))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(... | quiet(lucy) | [
"p3",
"p4",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 330800546639903989586665
% SZS output start Proof for 330800546639903989586665
4. ! [X0] : (rich(X0) => (~tall(X0) | wise(X0))) [input p3]
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p6]
15. ! [X0] : ((qui... | 0 |
Everyone who is not funny or generous is brave or not happy and vice versa.
If someone is either creative or not wise then someone is not calm and vice versa.
Everyone who is happy or not humble is either not tall or not humble.
Everyone who is either strong or not patient is humble and vice versa.
Everyone who is eith... | Lucy is wise. | entailment | (![X]:((~funny(X)|generous(X))<=>(brave(X)|~happy(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:(~calm(X))))&
(![X]:((happy(X)|~humble(X))=>(~tall(X)<~>~humble(X))))&
(![X]:((strong(X)<~>~patient(X))<=>humble(X)))&
(![X]:((~creative(X)<~>~curious(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~curious(X)<~>~strong(X))<... | wise(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 660345512377080011167346
% SZS output start Proof for 660345512377080011167346
11. ! [X0] : ((curious(X0) & ~wise(X0)) <=> ~curious(X0)) [input p10]
24. ~wise(lucy) [input hypothesis]
55. ! [X0] : (((curious(X0) & ~wise(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) | wise(X0)))) [nn... | 0 |
Everyone who is both happy and quiet is both calm and happy and vice versa.
Everyone who is brave or quiet is both patient and strong and vice versa.
If someone is not brave or funny then someone is humble or not generous and vice versa.
Everyone who is both humble and not calm is either old or not strong.
If john is b... | Alice is not happy. | neutral | (![X]:((happy(X)&quiet(X))<=>(calm(X)&happy(X))))&
(![X]:((brave(X)|quiet(X))<=>(patient(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((humble(X)&~calm(X))=>(old(X)<~>~strong(X))))&
(((~humble(john)&~quiet(john)))<=>((~curious(lucy)<~>~wise(lucy))))&
(![X]:((~humble(X)&~st... | ~happy(alice) | [] | null | 0 |
If paul is not calm then mary is both happy and quiet. Everyone who is both strong and not patient is generous or not funny and vice versa. Everyone who is not wise or not rich is not kind or not curious. If someone is both not strong and creative then someone is not wise or wise. Everyone who is quiet is not kind and ... | Alice is generous. | contradiction | ((~calm(paul))=>((happy(mary)&quiet(mary))))&
(![X]:((strong(X)&~patient(X))<=>(generous(X)|~funny(X))))&
(![X]:((~wise(X)|~rich(X))=>(~kind(X)|~curious(X))))&
((?[X]:((~strong(X)&creative(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:(quiet(X)<=>~kind(X)))&
(((~funny(alice)|strong(alice)))=>((~funny(mary)<~>quiet(mary)))... | generous(alice) | [
"p1",
"p11",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8015393001383947264350687
% SZS output start Proof for 8015393001383947264350687
2. ! [X0] : ((~patient(X0) & strong(X0)) <=> (~funny(X0) | generous(X0))) [input p1]
12. ! [X0] : (~funny(X0) <=> (~brave(X0) | rich(X0))) [input p11]
13. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~curiou... | 0 |
Everyone who is either brave or strong is wise and vice versa.
If someone is curious then someone is not patient or old.
If john is rich or not tall then someone is both not strong and creative and vice versa.
If someone is either not brave or funny then alice is not rich and vice versa.
Everyone who is curious is not ... | Alice is not strong. | neutral | (![X]:((brave(X)<~>strong(X))<=>wise(X)))&
((?[X]:(curious(X)))=>(?[X]:((~patient(X)|old(X)))))&
(((rich(john)|~tall(john)))<=>(?[X]:((~strong(X)&creative(X)))))&
((?[X]:((~brave(X)<~>funny(X))))<=>(~rich(alice)))&
(![X]:(curious(X)<=>(~humble(X)|creative(X))))&
(((~funny(alice)|~strong(alice)))<=>(creative(mary)))&
((... | ~strong(alice) | [] | null | 0 |
Everyone who is generous is both calm and generous and vice versa.
Everyone who is not creative is not strong or not patient and vice versa.
If alice is either calm or not humble then someone is tall.
Everyone who is patient is humble and vice versa.
If fred is rich then mary is both not curious and not generous and vi... | Mary is not curious. | neutral | (![X]:(generous(X)<=>(calm(X)&generous(X))))&
(![X]:(~creative(X)<=>(~strong(X)|~patient(X))))&
(((calm(alice)<~>~humble(alice)))=>(?[X]:(tall(X))))&
(![X]:(patient(X)<=>humble(X)))&
((rich(fred))<=>((~curious(mary)&~generous(mary))))&
((?[X]:((~old(X)<~>patient(X))))<=>(generous(susan)))&
(![X]:((funny(X)&~generous(X)... | ~curious(mary) | [] | null | 0 |
Everyone who is quiet or tall is not humble or patient and vice versa.
Everyone who is generous or kind is not kind and vice versa.
If john is not old then john is either not tall or not curious and vice versa.
If someone is not tall then someone is both not generous and patient and vice versa.
If lucy is strong or not... | John is calm. | contradiction | (![X]:((quiet(X)|tall(X))<=>(~humble(X)|patient(X))))&
(![X]:((generous(X)|kind(X))<=>~kind(X)))&
((~old(john))<=>((~tall(john)<~>~curious(john))))&
((?[X]:(~tall(X)))<=>(?[X]:((~generous(X)&patient(X)))))&
(((strong(lucy)|~wise(lucy)))=>((brave(fred)|~strong(fred))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((rich(susan)<... | calm(john) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3532167670433268330845976
% SZS output start Proof for 3532167670433268330845976
2. ! [X0] : ((kind(X0) | generous(X0)) <=> ~kind(X0)) [input p1]
8. ? [X0] : (calm(X0) & ~kind(X0)) => (tall(susan) & ~generous(susan)) [input p7]
24. calm(john) [input hypothesis]
31. (tall(susan) & ~generou... | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa.
Everyone who is curious or funny is both not happy and not kind and vice versa.
Everyone who is either not strong or brave is generous.
Everyone who is patient is either not rich or not happy.
Everyone who is happy is not c... | Paul is not calm. | contradiction | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((curious(X)|funny(X))<=>(~happy(X)&~kind(X))))&
(![X]:((~strong(X)<~>brave(X))=>generous(X)))&
(![X]:(patient(X)=>(~rich(X)<~>~happy(X))))&
(![X]:(happy(X)<=>(~curious(X)|funny(X))))&
((?[X]:((kind(X)|tall(X))))<=>(?[X]:((creative(X)|~rich(X)))))&... | ~calm(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 586799841484115624493059
% SZS output start Proof for 586799841484115624493059
9. ! [X0] : (calm(X0) <=> (~generous(X0) | ~calm(X0))) [input p8]
24. ~calm(paul) [input hypothesis]
53. ! [X0] : ((calm(X0) | (generous(X0) & calm(X0))) & ((~generous(X0) | ~calm(X0)) | ~calm(X0))) [nnf transf... | 0 |
If fred is both humble and kind then someone is either not funny or not tall and vice versa. If john is either patient or not happy then someone is not brave. If someone is not brave or patient then mary is either kind or not strong and vice versa. If lucy is calm then someone is not happy. If paul is either kind or no... | Fred is not tall. | neutral | (((humble(fred)&kind(fred)))<=>(?[X]:((~funny(X)<~>~tall(X)))))&
(((patient(john)<~>~happy(john)))=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)|patient(X))))<=>((kind(mary)<~>~strong(mary))))&
((calm(lucy))=>(?[X]:(~happy(X))))&
(((kind(paul)<~>~curious(paul)))<=>(kind(susan)))&
((~old(john))=>(?[X]:(~funny(X))))&
((?[X]:(... | ~tall(fred) | [] | null | 0 |
Everyone who is either rich or humble is both not tall and happy.
If mary is either not patient or old then susan is either old or not wise and vice versa.
If someone is kind or tall then someone is funny or strong and vice versa.
If someone is either not strong or not creative then someone is both not creative and not... | Susan is strong. | neutral | (![X]:((rich(X)<~>humble(X))=>(~tall(X)&happy(X))))&
(((~patient(mary)<~>old(mary)))<=>((old(susan)<~>~wise(susan))))&
((?[X]:((kind(X)|tall(X))))<=>(?[X]:((funny(X)|strong(X)))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((~creative(X)&~curious(X)))))&
(![X]:((happy(X)<~>~strong(X))<=>brave(X)))&
(![X]:((~rich(X)... | strong(susan) | [] | null | 0 |
If someone is kind or not rich then lucy is funny or not wise.
If someone is funny or not funny then someone is not tall or not brave.
Everyone who is not tall or generous is both not humble and kind and vice versa.
Everyone who is either happy or tall is not generous.
Everyone who is either not creative or creative is... | John is not funny. | contradiction | ((?[X]:((kind(X)|~rich(X))))=>((funny(lucy)|~wise(lucy))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~tall(X)|generous(X))<=>(~humble(X)&kind(X))))&
(![X]:((happy(X)<~>tall(X))=>~generous(X)))&
(![X]:((~creative(X)<~>creative(X))=>(kind(X)<~>wise(X))))&
(((~kind(fred)<~>~patient(fred)))=>... | ~funny(john) | [
"p7",
"p8",
"p10",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 750688863267429910655411
% SZS output start Proof for 750688863267429910655411
8. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (brave(X0) | kind(X0))) [input p7]
9. ! [X0] : ((rich(X0) | calm(X0)) <=> (~strong(X0) & ~creative(X0))) [input p8]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (... | 0 |
Everyone who is not old or not curious is wise or funny and vice versa. If john is either not happy or not funny then someone is not brave or not funny. Everyone who is either not rich or not calm is not tall or wise. Everyone who is not rich or not calm is either not humble or not old. Everyone who is not kind or pati... | Fred is strong. | neutral | (![X]:((~old(X)|~curious(X))<=>(wise(X)|funny(X))))&
(((~happy(john)<~>~funny(john)))=>(?[X]:((~brave(X)|~funny(X)))))&
(![X]:((~rich(X)<~>~calm(X))=>(~tall(X)|wise(X))))&
(![X]:((~rich(X)|~calm(X))=>(~humble(X)<~>~old(X))))&
(![X]:((~kind(X)|patient(X))=>(patient(X)|~humble(X))))&
(![X]:((funny(X)|curious(X))<=>quiet(... | strong(fred) | [] | null | 0 |
If lucy is both not calm and curious then someone is either rich or not kind. If john is strong then someone is strong or not tall. Everyone who is either not creative or not quiet is generous and vice versa. Everyone who is both not tall and funny is both not brave and not tall and vice versa. Everyone who is not gene... | Alice is funny. | contradiction | (((~calm(lucy)&curious(lucy)))=>(?[X]:((rich(X)<~>~kind(X)))))&
((strong(john))=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((~creative(X)<~>~quiet(X))<=>generous(X)))&
(![X]:((~tall(X)&funny(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~generous(X)|old(X))=>(~tall(X)&kind(X))))&
(![X]:(quiet(X)=>(~funny(X)|wise(X))))&
((?[X]:((wi... | funny(alice) | [
"p3",
"p4",
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7670814635158253950996375
% SZS output start Proof for 7670814635158253950996375
4. ! [X0] : ((funny(X0) & ~tall(X0)) <=> (~tall(X0) & ~brave(X0))) [input p3]
5. ! [X0] : ((old(X0) | ~generous(X0)) => (kind(X0) & ~tall(X0))) [input p4]
9. ? [X0] : (~tall(X0) & strong(X0)) <=> ~funny(john)... | 0 |
If john is humble or not tall then lucy is either not strong or not tall and vice versa.
Everyone who is not tall or not happy is either curious or happy and vice versa.
If someone is either quiet or strong then someone is calm or humble and vice versa.
If lucy is both patient and not curious then someone is both not h... | Susan is not humble. | entailment | (((humble(john)|~tall(john)))<=>((~strong(lucy)<~>~tall(lucy))))&
(![X]:((~tall(X)|~happy(X))<=>(curious(X)<~>happy(X))))&
((?[X]:((quiet(X)<~>strong(X))))<=>(?[X]:((calm(X)|humble(X)))))&
(((patient(lucy)&~curious(lucy)))=>(?[X]:((~happy(X)&curious(X)))))&
((?[X]:((patient(X)|quiet(X))))<=>((generous(susan)&calm(susan... | ~humble(susan) | [
"p4",
"p8",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4529550038241020535772243
% SZS output start Proof for 4529550038241020535772243
5. ? [X0] : (quiet(X0) | patient(X0)) <=> (calm(susan) & generous(susan)) [input p4]
9. ! [X0] : (curious(X0) => (~calm(X0) & rich(X0))) [input p8]
15. ! [X0] : (humble(X0) <=> (rich(X0) & patient(X0))) [inpu... | 0 |
If someone is either kind or not creative then susan is both generous and not rich. Everyone who is rich or strong is not calm. Everyone who is both generous and curious is kind or funny and vice versa. Everyone who is not patient or not strong is wise or not tall and vice versa. If someone is either generous or not ta... | Susan is tall. | entailment | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|strong(X))=>~calm(X)))&
(![X]:((generous(X)&curious(X))<=>(kind(X)|funny(X))))&
(![X]:((~patient(X)|~strong(X))<=>(wise(X)|~tall(X))))&
((?[X]:((generous(X)<~>~tall(X))))=>(?[X]:((curious(X)|~patient(X)))))&
(![X]:((funny(X)|~calm(X)... | tall(susan) | [
"p0",
"p2",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 817666164371626706325420
% SZS output start Proof for 817666164371626706325420
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (~rich(susan) & generous(susan)) [input p0]
3. ! [X0] : ((curious(X0) & generous(X0)) <=> (funny(X0) | kind(X0))) [input p2]
9. ? [X0] : ~curious(X0) <=> ? [X0] : (ri... | 0 |
Everyone who is either not generous or wise is either happy or not happy.
Everyone who is either tall or old is both not patient and quiet and vice versa.
Everyone who is both funny and not creative is both not happy and not quiet.
If someone is either not tall or curious then someone is calm or old and vice versa.
Eve... | Paul is not kind. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(happy(X)<~>~happy(X))))&
(![X]:((tall(X)<~>old(X))<=>(~patient(X)&quiet(X))))&
(![X]:((funny(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((~tall(X)<~>curious(X))))<=>(?[X]:((calm(X)|old(X)))))&
(![X]:(~happy(X)=>(kind(X)<~>~brave(X))))&
(![X]:((creative(X)&funny(X))<=>(~curious(X... | ~kind(paul) | [
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1288146158801625878165872
% SZS output start Proof for 1288146158801625878165872
5. ! [X0] : (~happy(X0) => (kind(X0) <~> ~brave(X0))) [input p4]
16. ! [X0] : ((generous(X0) & ~creative(X0)) <=> (~humble(X0) | ~brave(X0))) [input p15]
19. ~happy(paul) & ~generous(paul) [input p18]
25. ~ki... | 0 |
Everyone who is either old or not curious is not funny.
If paul is rich then alice is not quiet or not happy.
Everyone who is either not generous or patient is both not strong and brave and vice versa.
Everyone who is either calm or not quiet is both not old and creative.
Everyone who is not happy is patient.
If someon... | Alice is generous. | neutral | (![X]:((old(X)<~>~curious(X))=>~funny(X)))&
((rich(paul))=>((~quiet(alice)|~happy(alice))))&
(![X]:((~generous(X)<~>patient(X))<=>(~strong(X)&brave(X))))&
(![X]:((calm(X)<~>~quiet(X))=>(~old(X)&creative(X))))&
(![X]:(~happy(X)=>patient(X)))&
((?[X]:((~curious(X)<~>~creative(X))))<=>(?[X]:((~old(X)<~>wise(X)))))&
(((~cr... | generous(alice) | [] | null | 0 |
Everyone who is generous is either happy or tall. Everyone who is brave or old is either not curious or creative and vice versa. Everyone who is not funny or not wise is both not rich and not wise and vice versa. If someone is either not rich or not old then mary is both funny and not creative and vice versa. If john i... | Alice is strong. | neutral | (![X]:(generous(X)=>(happy(X)<~>tall(X))))&
(![X]:((brave(X)|old(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~funny(X)|~wise(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>((funny(mary)&~creative(mary))))&
(((~kind(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~generous(X)<=>(generous(X)... | strong(alice) | [] | null | 0 |
If someone is tall or brave then someone is strong and vice versa. Everyone who is funny or wise is quiet and vice versa. If alice is not curious or kind then susan is both not wise and quiet and vice versa. If mary is not strong then someone is not old and vice versa. Everyone who is not old is quiet and vice versa. I... | Susan is not quiet. | entailment | ((?[X]:((tall(X)|brave(X))))<=>(?[X]:(strong(X))))&
(![X]:((funny(X)|wise(X))<=>quiet(X)))&
(((~curious(alice)|kind(alice)))<=>((~wise(susan)&quiet(susan))))&
((~strong(mary))<=>(?[X]:(~old(X))))&
(![X]:(~old(X)<=>quiet(X)))&
(((generous(alice)<~>~strong(alice)))<=>((~calm(lucy)&patient(lucy))))&
(![X]:(~patient(X)=>ge... | ~quiet(susan) | [
"p3",
"p4",
"p10",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5031958011331749761652563
% SZS output start Proof for 5031958011331749761652563
4. ~strong(mary) <=> ? [X0] : ~old(X0) [input p3]
5. ! [X0] : (~old(X0) <=> quiet(X0)) [input p4]
11. ! [X0] : ((tall(X0) & strong(X0)) <=> (~humble(X0) | ~kind(X0))) [input p10]
15. kind(john) => (~kind(mary... | 0 |
If someone is both not brave and strong then paul is old and vice versa. If lucy is either brave or funny then someone is either not strong or not happy. Everyone who is both not patient and not generous is not tall or curious. If john is either humble or not generous then someone is both strong and rich. If someone is... | John is not generous. | entailment | ((?[X]:((~brave(X)&strong(X))))<=>(old(paul)))&
(((brave(lucy)<~>funny(lucy)))=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:((~patient(X)&~generous(X))=>(~tall(X)|curious(X))))&
(((humble(john)<~>~generous(john)))=>(?[X]:((strong(X)&rich(X)))))&
((?[X]:((funny(X)|patient(X))))=>(?[X]:((~curious(X)|~quiet(X)))))&
(((~tall... | ~generous(john) | [
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7801569509375953022459382
% SZS output start Proof for 7801569509375953022459382
10. ! [X0] : ((~wise(X0) & tall(X0)) <=> (~brave(X0) | generous(X0))) [input p9]
17. ~tall(john) [input p16]
25. generous(john) [input hypothesis]
58. ! [X0] : (((~wise(X0) & tall(X0)) | (brave(X0) & ~generou... | 0 |
Everyone who is both not rich and curious is quiet.
Everyone who is both brave and not strong is either quiet or rich and vice versa.
Everyone who is either creative or not happy is both not happy and brave.
If fred is both happy and brave then someone is tall or not curious.
Everyone who is not tall is either not wise... | Alice is tall. | contradiction | (![X]:((~rich(X)&curious(X))=>quiet(X)))&
(![X]:((brave(X)&~strong(X))<=>(quiet(X)<~>rich(X))))&
(![X]:((creative(X)<~>~happy(X))=>(~happy(X)&brave(X))))&
(((happy(fred)&brave(fred)))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:(~tall(X)<=>(~wise(X)<~>~strong(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((creative(fred)|~h... | tall(alice) | [
"p0",
"p1",
"p4",
"p10",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5148524439182007436138569
% SZS output start Proof for 5148524439182007436138569
1. ! [X0] : ((curious(X0) & ~rich(X0)) => quiet(X0)) [input p0]
2. ! [X0] : ((~strong(X0) & brave(X0)) <=> (quiet(X0) <~> rich(X0))) [input p1]
5. ! [X0] : (~tall(X0) <=> (~wise(X0) <~> ~strong(X0))) [input p... | 0 |
Everyone who is not humble or happy is not humble and vice versa.
Everyone who is wise or not kind is tall and vice versa.
Everyone who is kind or not old is both calm and old and vice versa.
Everyone who is both funny and strong is not kind or happy.
Everyone who is not rich is not calm or not curious.
Everyone who is... | John is old. | entailment | (![X]:((~humble(X)|happy(X))<=>~humble(X)))&
(![X]:((wise(X)|~kind(X))<=>tall(X)))&
(![X]:((kind(X)|~old(X))<=>(calm(X)&old(X))))&
(![X]:((funny(X)&strong(X))=>(~kind(X)|happy(X))))&
(![X]:(~rich(X)=>(~calm(X)|~curious(X))))&
(![X]:((calm(X)<~>~old(X))<=>(~quiet(X)&~patient(X))))&
(((quiet(john)<~>humble(john)))<=>(?[X... | old(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3763983121806529622391712
% SZS output start Proof for 3763983121806529622391712
3. ! [X0] : ((~old(X0) | kind(X0)) <=> (old(X0) & calm(X0))) [input p2]
20. ~old(john) [input hypothesis]
35. ! [X0] : (((~old(X0) | kind(X0)) | (~old(X0) | ~calm(X0))) & ((old(X0) & calm(X0)) | (old(X0) & ~k... | 0 |
If john is either happy or old then someone is both not curious and not humble and vice versa.
If susan is not humble then someone is both not tall and not brave and vice versa.
Everyone who is both not calm and not humble is happy and vice versa.
If someone is funny then paul is both not happy and not humble and vice ... | Alice is happy. | neutral | (((happy(john)<~>old(john)))<=>(?[X]:((~curious(X)&~humble(X)))))&
((~humble(susan))<=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((~calm(X)&~humble(X))<=>happy(X)))&
((?[X]:(funny(X)))<=>((~happy(paul)&~humble(paul))))&
((?[X]:(generous(X)))=>(?[X]:((~strong(X)<~>~calm(X)))))&
(((~kind(john)<~>tall(john)))=>(?[X]:(~curious... | happy(alice) | [] | null | 0 |
If someone is both not kind and not calm then someone is not rich and vice versa.
Everyone who is either not wise or not creative is not calm and vice versa.
If someone is not rich or not happy then paul is both strong and rich and vice versa.
Everyone who is happy or not creative is both not wise and creative.
If some... | Fred is not strong. | contradiction | ((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>~calm(X)))&
((?[X]:((~rich(X)|~happy(X))))<=>((strong(paul)&rich(paul))))&
(![X]:((happy(X)|~creative(X))=>(~wise(X)&creative(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~humble(X)|kind(X)))))&
(((kind(john)|calm(john)))=>((~patient(paul)<~>... | ~strong(fred) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9159881814959814606856439
% SZS output start Proof for 9159881814959814606856439
7. ! [X0] : (~calm(X0) <=> (~strong(X0) <~> strong(X0))) [input p6]
15. ! [X0] : ((~calm(X0) <~> strong(X0)) => (calm(X0) & creative(X0))) [input p14]
23. ~strong(fred) [input hypothesis]
31. ! [X0] : ((calm(... | 0 |
If someone is not brave then someone is not calm or patient and vice versa.
Everyone who is either not calm or not generous is both patient and tall and vice versa.
If someone is calm then someone is both old and happy.
If susan is both rich and generous then someone is both quiet and happy and vice versa.
Everyone who... | Mary is not humble. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((~calm(X)|patient(X)))))&
(![X]:((~calm(X)<~>~generous(X))<=>(patient(X)&tall(X))))&
((?[X]:(calm(X)))=>(?[X]:((old(X)&happy(X)))))&
(((rich(susan)&generous(susan)))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((~quiet(X)|~tall(X))=>(kind(X)&~funny(X))))&
((?[X]:((curious(X)|tall(X))))<=>(?[X]:(... | ~humble(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3723774865188601518921885
% SZS output start Proof for 3723774865188601518921885
15. ~humble(mary) [input p14]
19. humble(mary) [input hypothesis]
127. ~humble(mary) [cnf transformation 15]
134. humble(mary) [cnf transformation 19]
318. $false [subsumption resolution 134,127]
% SZS output... | 0 |
Everyone who is not brave or quiet is both generous and not generous. If someone is both funny and not wise then someone is either humble or not old. Everyone who is both brave and not kind is not calm. Everyone who is tall is both brave and calm. If someone is not funny then susan is both not curious and not creative.... | John is not strong. | contradiction | (![X]:((~brave(X)|quiet(X))=>(generous(X)&~generous(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:((humble(X)<~>~old(X)))))&
(![X]:((brave(X)&~kind(X))=>~calm(X)))&
(![X]:(tall(X)=>(brave(X)&calm(X))))&
((?[X]:(~funny(X)))=>((~curious(susan)&~creative(susan))))&
((?[X]:((~curious(X)<~>generous(X))))=>(?[X]:((~calm(X)|hum... | ~strong(john) | [
"p0",
"p7",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 627555718959776138453004
% SZS output start Proof for 627555718959776138453004
1. ! [X0] : ((quiet(X0) | ~brave(X0)) => (~generous(X0) & generous(X0))) [input p0]
8. ! [X0] : ((~creative(X0) | brave(X0)) => (humble(X0) | rich(X0))) [input p7]
9. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (r... | 0 |
If alice is both curious and strong then alice is not tall or not patient.
Everyone who is old is both creative and quiet and vice versa.
Everyone who is humble is both not quiet and rich and vice versa.
If mary is either funny or not happy then susan is strong and vice versa.
Everyone who is both not old and kind is e... | Paul is not generous. | contradiction | (((curious(alice)&strong(alice)))=>((~tall(alice)|~patient(alice))))&
(![X]:(old(X)<=>(creative(X)&quiet(X))))&
(![X]:(humble(X)<=>(~quiet(X)&rich(X))))&
(((funny(mary)<~>~happy(mary)))<=>(strong(susan)))&
(![X]:((~old(X)&kind(X))<=>(curious(X)<~>~brave(X))))&
(![X]:(~strong(X)<=>(~quiet(X)|~patient(X))))&
(((rich(susa... | ~generous(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2637009802579048523190743
% SZS output start Proof for 2637009802579048523190743
12. ! [X0] : ((kind(X0) <~> ~generous(X0)) <=> kind(X0)) [input p11]
24. ~generous(paul) [input hypothesis]
49. ! [X0] : ((((generous(X0) | ~kind(X0)) & (~generous(X0) | kind(X0))) | ~kind(X0)) & (kind(X0) | ... | 0 |
Everyone who is both old and not strong is patient and vice versa. Everyone who is not curious is creative. If someone is not old then alice is either tall or not calm. If someone is generous or happy then someone is both not patient and wise and vice versa. If someone is not funny or not wise then someone is not gener... | Paul is not quiet. | contradiction | (![X]:((old(X)&~strong(X))<=>patient(X)))&
(![X]:(~curious(X)=>creative(X)))&
((?[X]:(~old(X)))=>((tall(alice)<~>~calm(alice))))&
((?[X]:((generous(X)|happy(X))))<=>(?[X]:((~patient(X)&wise(X)))))&
((?[X]:((~funny(X)|~wise(X))))<=>(?[X]:((~generous(X)|calm(X)))))&
((generous(lucy))<=>((calm(paul)<~>wise(paul))))&
((?[X... | ~quiet(paul) | [
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4974428791202224377537443
% SZS output start Proof for 4974428791202224377537443
8. ! [X0] : ((~quiet(X0) <~> ~funny(X0)) <=> (~happy(X0) | ~funny(X0))) [input p7]
9. ? [X0] : (patient(X0) | ~quiet(X0)) <=> ~kind(paul) [input p8]
16. ! [X0] : ((~curious(X0) | curious(X0)) <=> (happy(X0) |... | 0 |
If someone is either funny or quiet then paul is either humble or not brave and vice versa.
Everyone who is both not calm and humble is not rich and vice versa.
If someone is either generous or funny then paul is happy or tall and vice versa.
Everyone who is quiet is either not calm or kind and vice versa.
If mary is e... | Paul is not wise. | entailment | ((?[X]:((funny(X)<~>quiet(X))))<=>((humble(paul)<~>~brave(paul))))&
(![X]:((~calm(X)&humble(X))<=>~rich(X)))&
((?[X]:((generous(X)<~>funny(X))))<=>((happy(paul)|tall(paul))))&
(![X]:(quiet(X)<=>(~calm(X)<~>kind(X))))&
(((~tall(mary)<~>creative(mary)))=>(curious(mary)))&
((?[X]:(~funny(X)))=>((funny(lucy)<~>~humble(lucy... | ~wise(paul) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1995168275159147791328639
% SZS output start Proof for 1995168275159147791328639
15. ! [X0] : ((wise(X0) | ~funny(X0)) <=> (~kind(X0) & quiet(X0))) [input p14]
19. ~strong(paul) & kind(paul) [input p18]
23. wise(paul) [input hypothesis]
65. ! [X0] : (((wise(X0) | ~funny(X0)) | (kind(X0) |... | 0 |
Everyone who is both not quiet and creative is both not generous and not patient and vice versa. If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If some... | John is not calm. | neutral | (![X]:((~quiet(X)&creative(X))<=>(~generous(X)&~patient(X))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X)... | ~calm(john) | [] | null | 0 |
If someone is old then paul is both not calm and quiet and vice versa. Everyone who is not tall or old is quiet. If someone is both not quiet and quiet then someone is strong or not humble and vice versa. If john is either not patient or wise then alice is kind. Everyone who is curious is kind or old. Everyone who is n... | Fred is not humble. | contradiction | ((?[X]:(old(X)))<=>((~calm(paul)&quiet(paul))))&
(![X]:((~tall(X)|old(X))=>quiet(X)))&
((?[X]:((~quiet(X)&quiet(X))))<=>(?[X]:((strong(X)|~humble(X)))))&
(((~patient(john)<~>wise(john)))=>(kind(alice)))&
(![X]:(curious(X)=>(kind(X)|old(X))))&
(![X]:((~humble(X)|happy(X))<=>~patient(X)))&
(![X]:((curious(X)<~>~rich(X))<... | ~humble(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6022727428617821060964318
% SZS output start Proof for 6022727428617821060964318
3. ? [X0] : (quiet(X0) & ~quiet(X0)) <=> ? [X0] : (~humble(X0) | strong(X0)) [input p2]
24. ~humble(fred) [input hypothesis]
25. ? [X0] : (quiet(X0) & ~quiet(X0)) <=> ? [X1] : (~humble(X1) | strong(X1)) [rect... | 0 |
If someone is either creative or not brave then someone is not strong or not brave. Everyone who is old or strong is humble and vice versa. Everyone who is not rich or brave is either generous or quiet. Everyone who is calm or not patient is both happy and old. If someone is not humble or generous then someone is not g... | Paul is not creative. | neutral | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((old(X)|strong(X))<=>humble(X)))&
(![X]:((~rich(X)|brave(X))=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)|~patient(X))=>(happy(X)&old(X))))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:(~generous(X))))&
(((creative(paul)|~patient(paul)))<=>(?[... | ~creative(paul) | [] | null | 0 |
If john is not funny then someone is not wise and vice versa.
Everyone who is either not wise or happy is funny or old and vice versa.
If mary is creative or not wise then mary is tall or old.
Everyone who is both not strong and rich is both not generous and not old.
Everyone who is both kind and not rich is either not... | Susan is not creative. | neutral | ((~funny(john))<=>(?[X]:(~wise(X))))&
(![X]:((~wise(X)<~>happy(X))<=>(funny(X)|old(X))))&
(((creative(mary)|~wise(mary)))=>((tall(mary)|old(mary))))&
(![X]:((~strong(X)&rich(X))=>(~generous(X)&~old(X))))&
(![X]:((kind(X)&~rich(X))=>(~calm(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(wise(X)<~>humble(X))))&
(![X]:((~tall(X)<~>~... | ~creative(susan) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is either patient or generous is either quiet or not quiet and vice versa.
Everyone who is both brave and funny is either not funny or kind.
If someone is rich or calm then someone is both humble and happy and vice versa.
If someone is either n... | Alice is not strong. | neutral | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((patient(X)<~>generous(X))<=>(quiet(X)<~>~quiet(X))))&
(![X]:((brave(X)&funny(X))=>(~funny(X)<~>kind(X))))&
((?[X]:((rich(X)|calm(X))))<=>(?[X]:((humble(X)&happy(X)))))&
((?[X]:((~strong(X)<~>brave(X))))<=>((~happy(alice)&~curious(alice))))&
(((~brave(susan)... | ~strong(alice) | [] | null | 0 |
Everyone who is either not tall or not calm is both not creative and not old. If susan is funny then someone is rich and vice versa. Everyone who is not calm or patient is both creative and old and vice versa. If lucy is not kind then someone is either generous or not strong and vice versa. Everyone who is both not qui... | Mary is not curious. | neutral | (![X]:((~tall(X)<~>~calm(X))=>(~creative(X)&~old(X))))&
((funny(susan))<=>(?[X]:(rich(X))))&
(![X]:((~calm(X)|patient(X))<=>(creative(X)&old(X))))&
((~kind(lucy))<=>(?[X]:((generous(X)<~>~strong(X)))))&
(![X]:((~quiet(X)&strong(X))<=>(~humble(X)&curious(X))))&
((?[X]:((~calm(X)|~strong(X))))<=>(?[X]:((tall(X)&~generous... | ~curious(mary) | [] | null | 0 |
Everyone who is either not curious or brave is both not quiet and patient.
Everyone who is both patient and not humble is not creative.
Everyone who is either creative or calm is both old and not strong and vice versa.
If someone is brave then someone is both not old and curious.
Everyone who is both patient and funny ... | Lucy is not happy. | contradiction | (![X]:((~curious(X)<~>brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((patient(X)&~humble(X))=>~creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(old(X)&~strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((patient(X)&funny(X))<=>(quiet(X)&humble(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>wise(X)))&
((~gene... | ~happy(lucy) | [
"p3",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3318369984170838780765713
% SZS output start Proof for 3318369984170838780765713
4. ? [X0] : brave(X0) => ? [X0] : (curious(X0) & ~old(X0)) [input p3]
8. ! [X0] : (~brave(X0) => (happy(X0) & ~curious(X0))) [input p7]
10. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) | strong(X0))) ... | 0 |
Everyone who is either generous or old is either old or not creative.
If someone is both not happy and not curious then alice is old or not kind and vice versa.
Everyone who is tall is either not patient or patient.
If someone is wise then lucy is both not happy and strong.
If fred is either old or creative then susan ... | Alice is patient. | contradiction | (![X]:((generous(X)<~>old(X))=>(old(X)<~>~creative(X))))&
((?[X]:((~happy(X)&~curious(X))))<=>((old(alice)|~kind(alice))))&
(![X]:(tall(X)=>(~patient(X)<~>patient(X))))&
((?[X]:(wise(X)))=>((~happy(lucy)&strong(lucy))))&
(((old(fred)<~>creative(fred)))=>((~curious(susan)&calm(susan))))&
((quiet(fred))=>(~strong(paul)))... | patient(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 472413234071062233173516
% SZS output start Proof for 472413234071062233173516
13. ! [X0] : (patient(X0) <=> (curious(X0) & ~curious(X0))) [input p12]
23. patient(alice) [input hypothesis]
51. ! [X0] : ((patient(X0) | (~curious(X0) | curious(X0))) & ((curious(X0) & ~curious(X0)) | ~patien... | 0 |
If someone is either creative or kind then someone is not patient or generous.
If susan is both curious and funny then someone is either quiet or calm.
Everyone who is rich is either not rich or not kind.
Everyone who is kind is either not calm or quiet.
If someone is both old and rich then lucy is both not wise and ca... | Fred is wise. | neutral | ((?[X]:((creative(X)<~>kind(X))))=>(?[X]:((~patient(X)|generous(X)))))&
(((curious(susan)&funny(susan)))=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:(rich(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(kind(X)=>(~calm(X)<~>quiet(X))))&
((?[X]:((old(X)&rich(X))))<=>((~wise(lucy)&calm(lucy))))&
(![X]:((~generous(X)&rich(X))=>(~brave(X)<... | wise(fred) | [] | null | 0 |
Everyone who is either not wise or kind is both creative and kind and vice versa.
Everyone who is both not curious and old is either not creative or creative and vice versa.
Everyone who is wise is either kind or not rich.
If someone is either not strong or old then paul is either not old or not wise.
If alice is both ... | Fred is not calm. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&kind(X))))&
(![X]:((~curious(X)&old(X))<=>(~creative(X)<~>creative(X))))&
(![X]:(wise(X)=>(kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~old(paul)<~>~wise(paul))))&
(((~rich(alice)&tall(alice)))=>(?[X]:(~humble(X))))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((patien... | ~calm(fred) | [
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9168277894345114057307887
% SZS output start Proof for 9168277894345114057307887
6. ! [X0] : (brave(X0) <=> patient(X0)) [input p5]
7. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p6]
8. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p7]
21. ~calm(... | 0 |
Everyone who is not tall or happy is both curious and not funny. If john is both creative and tall then john is not rich or old and vice versa. If lucy is not creative then someone is not generous or not curious and vice versa. If someone is either patient or old then fred is not calm or wise. Everyone who is not old o... | John is not happy. | neutral | (![X]:((~tall(X)|happy(X))=>(curious(X)&~funny(X))))&
(((creative(john)&tall(john)))<=>((~rich(john)|old(john))))&
((~creative(lucy))<=>(?[X]:((~generous(X)|~curious(X)))))&
((?[X]:((patient(X)<~>old(X))))=>((~calm(fred)|wise(fred))))&
(![X]:((~old(X)|~humble(X))<=>~strong(X)))&
((?[X]:((~tall(X)|curious(X))))<=>((~wis... | ~happy(john) | [] | null | 0 |
If alice is old or strong then lucy is both rich and calm and vice versa.
Everyone who is not tall or rich is either not quiet or not kind and vice versa.
Everyone who is not wise or not quiet is both kind and rich.
If alice is not creative or not generous then someone is not curious or not old.
If someone is not gener... | Lucy is tall. | entailment | (((old(alice)|strong(alice)))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~tall(X)|rich(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~wise(X)|~quiet(X))=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))... | tall(lucy) | [
"p1",
"p2",
"p6",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5313299696177422409783795
% SZS output start Proof for 5313299696177422409783795
2. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~quiet(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (rich(X0) & kind(X0))) [input p2]
7. ! [X0] : ((~kind(X0) <~> ~tall(X0)) <=> ~creative(X... | 0 |
If someone is brave or old then john is either kind or generous and vice versa.
Everyone who is both not brave and kind is both old and not kind.
Everyone who is either not creative or not happy is old.
Everyone who is both not humble and not rich is either generous or creative and vice versa.
Everyone who is either no... | Fred is not humble. | contradiction | ((?[X]:((brave(X)|old(X))))<=>((kind(john)<~>generous(john))))&
(![X]:((~brave(X)&kind(X))=>(old(X)&~kind(X))))&
(![X]:((~creative(X)<~>~happy(X))=>old(X)))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))=>(~kind(X)<~>~wise(X))))&
(![X]:((funny(X)&~generous(X))<=>(~happy(X)... | ~humble(fred) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9007158856472323347572596
% SZS output start Proof for 9007158856472323347572596
2. ! [X0] : ((kind(X0) & ~brave(X0)) => (~kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (generous(X0) <~> creative(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & funny(X0)) <=> (~... | 0 |
If someone is not rich or not funny then mary is kind.
Everyone who is quiet or not generous is not creative or happy and vice versa.
Everyone who is not generous or not brave is happy and vice versa.
If fred is both tall and not happy then mary is either not tall or not patient.
If someone is not patient or not happy ... | Alice is not happy. | contradiction | ((?[X]:((~rich(X)|~funny(X))))=>(kind(mary)))&
(![X]:((quiet(X)|~generous(X))<=>(~creative(X)|happy(X))))&
(![X]:((~generous(X)|~brave(X))<=>happy(X)))&
(((tall(fred)&~happy(fred)))=>((~tall(mary)<~>~patient(mary))))&
((?[X]:((~patient(X)|~happy(X))))=>((~happy(mary)&~funny(mary))))&
(![X]:((quiet(X)<~>~tall(X))=>(~cal... | ~happy(alice) | [
"p0",
"p1",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 506851282972054833861182
% SZS output start Proof for 506851282972054833861182
1. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p0]
2. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (happy(X0) | ~creative(X0))) [input p1]
5. ? [X0] : (~happy(X0) | ~patient(X0)) => (~funny(mary) & ~hap... | 0 |
Everyone who is not strong or rich is not creative.
Everyone who is not tall is either quiet or curious.
If alice is not tall then alice is not kind and vice versa.
Everyone who is both humble and not strong is generous or calm and vice versa.
Everyone who is both not old and not generous is happy or not strong and vic... | Lucy is wise. | neutral | (![X]:((~strong(X)|rich(X))=>~creative(X)))&
(![X]:(~tall(X)=>(quiet(X)<~>curious(X))))&
((~tall(alice))<=>(~kind(alice)))&
(![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))&
(![X]:((~old(X)&~generous(X))<=>(happy(X)|~strong(X))))&
((?[X]:((old(X)|~brave(X))))=>((happy(paul)|~kind(paul))))&
(![X]:((~patient(X)<~>... | wise(lucy) | [] | null | 0 |
Everyone who is either wise or not quiet is both quiet and not curious and vice versa.
Everyone who is happy is not quiet or old.
Everyone who is not brave or tall is either not patient or not quiet and vice versa.
Everyone who is both not quiet and kind is either creative or not brave.
If someone is not tall or quiet ... | Mary is not happy. | entailment | (![X]:((wise(X)<~>~quiet(X))<=>(quiet(X)&~curious(X))))&
(![X]:(happy(X)=>(~quiet(X)|old(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&kind(X))=>(creative(X)<~>~brave(X))))&
((?[X]:((~tall(X)|quiet(X))))<=>((~creative(john)<~>~curious(john))))&
(![X]:((~patient(X)|generous(X))=>(wis... | ~happy(mary) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5431312896419361757709324
% SZS output start Proof for 5431312896419361757709324
1. ! [X0] : ((wise(X0) <~> ~quiet(X0)) <=> (~curious(X0) & quiet(X0))) [input p0]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p2]
6. ! [X0] : ((generous(X0) | ~patient(X0)) ... | 0 |
Everyone who is either generous or not kind is kind.
If someone is calm or happy then fred is both funny and old and vice versa.
Everyone who is strong or rich is old or quiet.
If mary is both not tall and rich then john is either not calm or patient.
Everyone who is not brave or not happy is both patient and wise and ... | Mary is creative. | contradiction | (![X]:((generous(X)<~>~kind(X))=>kind(X)))&
((?[X]:((calm(X)|happy(X))))<=>((funny(fred)&old(fred))))&
(![X]:((strong(X)|rich(X))=>(old(X)|quiet(X))))&
(((~tall(mary)&rich(mary)))=>((~calm(john)<~>patient(john))))&
(![X]:((~brave(X)|~happy(X))<=>(patient(X)&wise(X))))&
(![X]:(~brave(X)=>funny(X)))&
(![X]:((~wise(X)|ric... | creative(mary) | [
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8463848055045906781634584
% SZS output start Proof for 8463848055045906781634584
5. ! [X0] : ((~happy(X0) | ~brave(X0)) <=> (wise(X0) & patient(X0))) [input p4]
15. ! [X0] : (~creative(X0) <=> (rich(X0) | happy(X0))) [input p14]
20. ~rich(mary) & ~wise(mary) [input p19]
25. creative(mary)... | 0 |
Everyone who is either humble or not happy is brave and vice versa. Everyone who is quiet or patient is not strong. Everyone who is either calm or not funny is both not curious and not generous. Everyone who is not generous or creative is either brave or kind and vice versa. Everyone who is humble or not rich is not ri... | Lucy is creative. | contradiction | (![X]:((humble(X)<~>~happy(X))<=>brave(X)))&
(![X]:((quiet(X)|patient(X))=>~strong(X)))&
(![X]:((calm(X)<~>~funny(X))=>(~curious(X)&~generous(X))))&
(![X]:((~generous(X)|creative(X))<=>(brave(X)<~>kind(X))))&
(![X]:((humble(X)|~rich(X))=>(~rich(X)|~brave(X))))&
(![X]:((patient(X)&calm(X))<=>(~funny(X)<~>~kind(X))))&
(!... | creative(lucy) | [
"p2",
"p5",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5165625971954011388769135
% SZS output start Proof for 5165625971954011388769135
3. ! [X0] : ((calm(X0) <~> ~funny(X0)) => (~generous(X0) & ~curious(X0))) [input p2]
6. ! [X0] : ((calm(X0) & patient(X0)) <=> (~funny(X0) <~> ~kind(X0))) [input p5]
9. ! [X0] : ((funny(X0) | ~tall(X0)) <=> (... | 0 |
Everyone who is quiet is either not old or not funny and vice versa.
If paul is either not quiet or not funny then someone is either not creative or not happy.
Everyone who is not tall or old is not happy or not generous.
Everyone who is patient or happy is curious.
Everyone who is happy is tall or curious.
If someone ... | Fred is old. | entailment | (![X]:(quiet(X)<=>(~old(X)<~>~funny(X))))&
(((~quiet(paul)<~>~funny(paul)))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:((~tall(X)|old(X))=>(~happy(X)|~generous(X))))&
(![X]:((patient(X)|happy(X))=>curious(X)))&
(![X]:(happy(X)=>(tall(X)|curious(X))))&
((?[X]:((~curious(X)&rich(X))))<=>(?[X]:((rich(X)|generous(X)))))&... | old(fred) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6356316387174286547467602
% SZS output start Proof for 6356316387174286547467602
11. ! [X0] : (~old(X0) <=> (quiet(X0) & kind(X0))) [input p10]
21. ~kind(fred) & ~tall(fred) [input p20]
24. ~old(fred) [input hypothesis]
65. ! [X0] : ((~old(X0) | (~quiet(X0) | ~kind(X0))) & ((quiet(X0) & k... | 0 |
If someone is both not old and not calm then someone is not curious and vice versa.
If mary is either tall or calm then someone is old or not tall and vice versa.
Everyone who is both not calm and calm is both quiet and not rich.
If someone is either tall or not strong then someone is happy or generous and vice versa.
... | Alice is calm. | contradiction | ((?[X]:((~old(X)&~calm(X))))<=>(?[X]:(~curious(X))))&
(((tall(mary)<~>calm(mary)))<=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((~calm(X)&calm(X))=>(quiet(X)&~rich(X))))&
((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)|generous(X)))))&
(![X]:((wise(X)<~>~old(X))<=>tall(X)))&
((?[X]:((~rich(X)&~strong(X))))<=>(?[X]:((wise(... | calm(alice) | [
"p7",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3275547524643464662204897
% SZS output start Proof for 3275547524643464662204897
8. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (rich(X0) | tall(X0))) [input p7]
13. ! [X0] : ((tall(X0) <~> ~generous(X0)) => (tall(X0) & wise(X0))) [input p12]
16. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> ~g... | 0 |
If someone is either brave or not rich then someone is both quiet and not strong and vice versa.
If someone is kind or not creative then mary is not quiet or old and vice versa.
If someone is both not humble and not strong then paul is not quiet and vice versa.
Everyone who is both not quiet and happy is both generous ... | Paul is curious. | neutral | ((?[X]:((brave(X)<~>~rich(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
((?[X]:((kind(X)|~creative(X))))<=>((~quiet(mary)|old(mary))))&
((?[X]:((~humble(X)&~strong(X))))<=>(~quiet(paul)))&
(![X]:((~quiet(X)&happy(X))<=>(generous(X)&~quiet(X))))&
((?[X]:(~rich(X)))=>((~calm(paul)&~old(paul))))&
(![X]:((old(X)|patient(X))<=>(... | curious(paul) | [] | null | 0 |
If alice is both not happy and not old then lucy is either not tall or old. If mary is either quiet or not old then someone is not kind or not funny. Everyone who is both calm and not patient is both tall and not happy and vice versa. If paul is not humble or not creative then fred is not calm. Everyone who is not old ... | John is not happy. | contradiction | (((~happy(alice)&~old(alice)))=>((~tall(lucy)<~>old(lucy))))&
(((quiet(mary)<~>~old(mary)))=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:((calm(X)&~patient(X))<=>(tall(X)&~happy(X))))&
(((~humble(paul)|~creative(paul)))=>(~calm(fred)))&
(![X]:((~old(X)|~generous(X))=>(rich(X)|quiet(X))))&
(![X]:((~quiet(X)&~old(X))=>(~happy(... | ~happy(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 51625995067569030833828
% SZS output start Proof for 51625995067569030833828
9. ! [X0] : ((curious(X0) & happy(X0)) <=> (curious(X0) | ~happy(X0))) [input p8]
25. ~happy(john) [input hypothesis]
51. ! [X0] : (((curious(X0) & happy(X0)) | (~curious(X0) & happy(X0))) & ((curious(X0) | ~happ... | 0 |
Everyone who is not kind or not calm is quiet and vice versa.
Everyone who is not humble or not funny is creative or kind and vice versa.
If john is tall then fred is not wise or not humble.
If someone is either not patient or not brave then someone is strong.
Everyone who is either wise or not wise is curious or stron... | Alice is rich. | neutral | (![X]:((~kind(X)|~calm(X))<=>quiet(X)))&
(![X]:((~humble(X)|~funny(X))<=>(creative(X)|kind(X))))&
((tall(john))=>((~wise(fred)|~humble(fred))))&
((?[X]:((~patient(X)<~>~brave(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(... | rich(alice) | [] | null | 0 |
Everyone who is not happy is old or patient and vice versa.
Everyone who is old or not quiet is generous and vice versa.
Everyone who is either not strong or creative is not quiet or calm.
If someone is either not strong or not happy then alice is both not tall and strong.
If someone is quiet or not kind then someone i... | Susan is generous. | entailment | (![X]:(~happy(X)<=>(old(X)|patient(X))))&
(![X]:((old(X)|~quiet(X))<=>generous(X)))&
(![X]:((~strong(X)<~>creative(X))=>(~quiet(X)|calm(X))))&
((?[X]:((~strong(X)<~>~happy(X))))=>((~tall(alice)&strong(alice))))&
((?[X]:((quiet(X)|~kind(X))))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:((~generous(X)|patient(X))=>(kind(X)|... | generous(susan) | [
"p0",
"p1",
"p5",
"p7",
"p9",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7754564221929333977134460
% SZS output start Proof for 7754564221929333977134460
1. ! [X0] : (~happy(X0) <=> (patient(X0) | old(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | old(X0)) <=> generous(X0)) [input p1]
6. ! [X0] : ((patient(X0) | ~generous(X0)) => (funny(X0) | kind(X0))) [input p5... | 0 |
Everyone who is both not happy and not rich is not funny. If susan is not generous then someone is both not rich and not humble and vice versa. If someone is curious then mary is not funny or happy. If someone is either tall or brave then someone is wise or generous and vice versa. If someone is both curious and not ol... | Mary is not wise. | contradiction | (![X]:((~happy(X)&~rich(X))=>~funny(X)))&
((~generous(susan))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:(curious(X)))=>((~funny(mary)|happy(mary))))&
((?[X]:((tall(X)<~>brave(X))))<=>(?[X]:((wise(X)|generous(X)))))&
((?[X]:((curious(X)&~old(X))))<=>(?[X]:((~quiet(X)&humble(X)))))&
(((strong(mary)|generous(mary)))=>(~ca... | ~wise(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 82286344293952750202176
% SZS output start Proof for 82286344293952750202176
9. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~rich(X0) & wise(X0))) [input p8]
25. ~wise(mary) [input hypothesis]
37. ! [X0] : ((~rich(X0) & wise(X0)) | (patient(X0) <=> ~patient(X0))) [ennf transformation 9]
... | 0 |
If someone is both not rich and tall then someone is funny or creative and vice versa.
If someone is creative then someone is either happy or kind and vice versa.
If susan is either strong or not humble then mary is not funny or not generous.
Everyone who is both generous and not funny is both creative and not happy.
E... | Lucy is generous. | contradiction | ((?[X]:((~rich(X)&tall(X))))<=>(?[X]:((funny(X)|creative(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((happy(X)<~>kind(X)))))&
(((strong(susan)<~>~humble(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((generous(X)&~funny(X))=>(creative(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))=>(~old(X)<~>generous(X))))&
(![X]:((happy(... | generous(lucy) | [
"p3",
"p4",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6125163499161964899931970
% SZS output start Proof for 6125163499161964899931970
4. ! [X0] : ((~funny(X0) & generous(X0)) => (~happy(X0) & creative(X0))) [input p3]
5. ! [X0] : ((rich(X0) | funny(X0)) => (~old(X0) <~> generous(X0))) [input p4]
9. ! [X0] : ((generous(X0) | quiet(X0)) => (g... | 0 |
If fred is both calm and tall then mary is old and vice versa.
If john is not brave then lucy is either rich or happy.
If someone is both not generous and curious then fred is both not wise and not funny and vice versa.
If john is generous then susan is calm or quiet and vice versa.
Everyone who is happy is either not ... | Lucy is rich. | neutral | (((calm(fred)&tall(fred)))<=>(old(mary)))&
((~brave(john))=>((rich(lucy)<~>happy(lucy))))&
((?[X]:((~generous(X)&curious(X))))<=>((~wise(fred)&~funny(fred))))&
((generous(john))<=>((calm(susan)|quiet(susan))))&
(![X]:(happy(X)=>(~brave(X)<~>quiet(X))))&
(![X]:((~calm(X)<~>~funny(X))<=>(brave(X)&humble(X))))&
(![X]:((qu... | rich(lucy) | [] | null | 0 |
If alice is both kind and not rich then someone is not wise or quiet.
Everyone who is either funny or not kind is not rich or not old and vice versa.
Everyone who is not calm or calm is not rich or not quiet.
If someone is generous then someone is not kind and vice versa.
If alice is both curious and calm then someone ... | Mary is calm. | contradiction | (((kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~rich(X)|~old(X))))&
(![X]:((~calm(X)|calm(X))=>(~rich(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:(~tall(X))))&
(![X]:(~curious(X)=>(strong(X)<~>creative(X))))&
(((~hap... | calm(mary) | [
"p1",
"p4",
"p8",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1572968746937532232867096
% SZS output start Proof for 1572968746937532232867096
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~old(X0) | ~rich(X0))) [input p1]
5. (calm(alice) & curious(alice)) <=> ? [X0] : ~tall(X0) [input p4]
9. ? [X0] : calm(X0) <=> ? [X0] : (~humble(X0) & ~tall(X0)) [i... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind and not curious and vice versa. If john is either not quiet or not happy then fred is ... | John is not curious. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humble(X))=>(brave(X)<~>happy(X))))&
(![X]:(kind(X)<=>(kind(X... | ~curious(john) | [] | null | 0 |
If john is either not quiet or not creative then alice is calm or not kind.
If mary is either calm or creative then john is both not creative and not wise.
Everyone who is funny is either curious or not patient and vice versa.
If susan is both not humble and not brave then lucy is either not creative or tall.
Everyone ... | Alice is calm. | entailment | (((~quiet(john)<~>~creative(john)))=>((calm(alice)|~kind(alice))))&
(((calm(mary)<~>creative(mary)))=>((~creative(john)&~wise(john))))&
(![X]:(funny(X)<=>(curious(X)<~>~patient(X))))&
(((~humble(susan)&~brave(susan)))=>((~creative(lucy)<~>tall(lucy))))&
(![X]:((patient(X)|~strong(X))=>(calm(X)&strong(X))))&
((?[X]:(~hu... | calm(alice) | [
"p4",
"p6",
"p7",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2025037327387107653597185
% SZS output start Proof for 2025037327387107653597185
5. ! [X0] : ((~strong(X0) | patient(X0)) => (strong(X0) & calm(X0))) [input p4]
7. ! [X0] : (old(X0) <=> (kind(X0) & ~kind(X0))) [input p6]
8. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> ~quiet(X0)) [input p7]
... | 0 |
If someone is not generous or not quiet then someone is either happy or not calm and vice versa.
Everyone who is both quiet and not old is not strong or not funny and vice versa.
If someone is either not rich or old then someone is either not wise or quiet and vice versa.
Everyone who is both not strong and patient is ... | Paul is not rich. | neutral | ((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((quiet(X)&~old(X))<=>(~strong(X)|~funny(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~strong(X)&patient(X))<=>~quiet(X)))&
(((happy(john)<~>~old(john)))<=>(?[X]:((~curious(X)&~tall(X)))))&
((~strong(paul))<=>... | ~rich(paul) | [] | null | 0 |
Everyone who is both not tall and not kind is both not brave and kind and vice versa.
Everyone who is not tall is happy or generous and vice versa.
Everyone who is strong or not strong is funny.
If lucy is calm then john is not strong or not wise.
If someone is not brave then mary is happy or curious.
Everyone who is r... | John is brave. | entailment | (![X]:((~tall(X)&~kind(X))<=>(~brave(X)&kind(X))))&
(![X]:(~tall(X)<=>(happy(X)|generous(X))))&
(![X]:((strong(X)|~strong(X))=>funny(X)))&
((calm(lucy))=>((~strong(john)|~wise(john))))&
((?[X]:(~brave(X)))=>((happy(mary)|curious(mary))))&
(![X]:((rich(X)|kind(X))=>(humble(X)|curious(X))))&
(![X]:((~kind(X)<~>quiet(X))=... | brave(john) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 396990059785528901674298
% SZS output start Proof for 396990059785528901674298
14. ! [X0] : (brave(X0) <=> (~kind(X0) | ~curious(X0))) [input p13]
21. curious(john) <~> ~brave(john) [input p20]
25. ~brave(john) [input hypothesis]
62. ! [X0] : ((brave(X0) | (kind(X0) & curious(X0))) & ((~k... | 0 |
Everyone who is either not strong or not humble is both not humble and brave. Everyone who is either quiet or strong is wise or funny and vice versa. Everyone who is both strong and not happy is either curious or not old. Everyone who is not humble or not generous is either not humble or not patient and vice versa. If ... | Mary is not humble. | contradiction | (![X]:((~strong(X)<~>~humble(X))=>(~humble(X)&brave(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(wise(X)|funny(X))))&
(![X]:((strong(X)&~happy(X))=>(curious(X)<~>~old(X))))&
(![X]:((~humble(X)|~generous(X))<=>(~humble(X)<~>~patient(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~quiet(X)|~funny(X))<=>... | ~humble(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6507293167361801284994627
% SZS output start Proof for 6507293167361801284994627
20. humble(mary) [input p19]
24. ~humble(mary) [input hypothesis]
142. humble(mary) [cnf transformation 20]
149. ~humble(mary) [cnf transformation 24]
283. $false [subsumption resolution 149,142]
% SZS output... | 0 |
Everyone who is not calm is both funny and brave and vice versa.
Everyone who is either strong or happy is not strong or calm.
If someone is not brave then mary is either wise or not happy.
Everyone who is either rich or not strong is quiet.
If someone is not wise then someone is either funny or not funny.
Everyone who... | Lucy is not generous. | entailment | (![X]:(~calm(X)<=>(funny(X)&brave(X))))&
(![X]:((strong(X)<~>happy(X))=>(~strong(X)|calm(X))))&
((?[X]:(~brave(X)))=>((wise(mary)<~>~happy(mary))))&
(![X]:((rich(X)<~>~strong(X))=>quiet(X)))&
((?[X]:(~wise(X)))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:(~old(X)<=>quiet(X)))&
(((wise(lucy)|creative(lucy)))=>(~rich(lucy))... | ~generous(lucy) | [
"p5",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8951447599558796917393279
% SZS output start Proof for 8951447599558796917393279
6. ! [X0] : (~old(X0) <=> quiet(X0)) [input p5]
11. ! [X0] : (~quiet(X0) <=> (old(X0) <~> strong(X0))) [input p10]
14. ? [X0] : (generous(X0) | happy(X0)) => ? [X0] : (old(X0) & brave(X0)) [input p13]
16. ! [... | 0 |
Everyone who is not calm is either strong or humble.
If mary is either rich or creative then susan is both patient and creative.
Everyone who is generous is both not brave and patient and vice versa.
If someone is either creative or not wise then someone is both kind and tall and vice versa.
If someone is both creative... | Fred is funny. | entailment | (![X]:(~calm(X)=>(strong(X)<~>humble(X))))&
(((rich(mary)<~>creative(mary)))=>((patient(susan)&creative(susan))))&
(![X]:(generous(X)<=>(~brave(X)&patient(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:((kind(X)&tall(X)))))&
((?[X]:((creative(X)&~old(X))))=>(?[X]:((~happy(X)&~creative(X)))))&
(![X]:((creative(X)|hum... | funny(fred) | [
"p2",
"p6",
"p7",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 97858880525750735214657
% SZS output start Proof for 97858880525750735214657
3. ! [X0] : (generous(X0) <=> (patient(X0) & ~brave(X0))) [input p2]
7. ! [X0] : ((~patient(X0) | quiet(X0)) => (~rich(X0) <~> quiet(X0))) [input p6]
8. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> (~humble(X0) | ... | 0 |
Everyone who is both not wise and quiet is not funny.
Everyone who is old is both rich and humble and vice versa.
Everyone who is quiet is both curious and not happy.
If john is wise then paul is either old or not curious.
Everyone who is both quiet and not humble is brave.
Everyone who is not funny or not strong is bo... | Mary is not curious. | neutral | (![X]:((~wise(X)&quiet(X))=>~funny(X)))&
(![X]:(old(X)<=>(rich(X)&humble(X))))&
(![X]:(quiet(X)=>(curious(X)&~happy(X))))&
((wise(john))=>((old(paul)<~>~curious(paul))))&
(![X]:((quiet(X)&~humble(X))=>brave(X)))&
(![X]:((~funny(X)|~strong(X))<=>(happy(X)&~strong(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>((old(paul)&~gen... | ~curious(mary) | [] | null | 0 |
If alice is both kind and rich then fred is either old or strong and vice versa.
If someone is both calm and happy then alice is both not strong and not rich and vice versa.
Everyone who is not tall is generous or not generous.
If mary is both not generous and patient then someone is either wise or not kind.
Everyone w... | Mary is funny. | contradiction | (((kind(alice)&rich(alice)))<=>((old(fred)<~>strong(fred))))&
((?[X]:((calm(X)&happy(X))))<=>((~strong(alice)&~rich(alice))))&
(![X]:(~tall(X)=>(generous(X)|~generous(X))))&
(((~generous(mary)&patient(mary)))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((creative(X)|~tall(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((~calm(X)|... | funny(mary) | [
"p6",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2216094780387812670535875
% SZS output start Proof for 2216094780387812670535875
7. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~funny(X0) <~> ~old(X0))) [input p6]
11. ! [X0] : ((old(X0) <~> ~kind(X0)) <=> (~wise(X0) | calm(X0))) [input p10]
14. ! [X0] : ((kind(X0) & tall(X0)) <=> (~cur... | 0 |
If susan is not wise then someone is not creative or patient. Everyone who is both generous and not happy is both not calm and not creative. Everyone who is both generous and humble is either not tall or kind and vice versa. Everyone who is kind is not funny or not wise and vice versa. Everyone who is not funny or curi... | Alice is wise. | contradiction | ((~wise(susan))=>(?[X]:((~creative(X)|patient(X)))))&
(![X]:((generous(X)&~happy(X))=>(~calm(X)&~creative(X))))&
(![X]:((generous(X)&humble(X))<=>(~tall(X)<~>kind(X))))&
(![X]:(kind(X)<=>(~funny(X)|~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>(old(X)|~curious(X))))&
(((wise(susan)|~patient(susan)))=>((~strong(alice)<~>... | wise(alice) | [
"p2",
"p3",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5276481935278415636582624
% SZS output start Proof for 5276481935278415636582624
3. ! [X0] : ((humble(X0) & generous(X0)) <=> (~tall(X0) <~> kind(X0))) [input p2]
4. ! [X0] : (kind(X0) <=> (~wise(X0) | ~funny(X0))) [input p3]
8. ~generous(susan) <=> ? [X0] : (creative(X0) <~> tall(X0)) [i... | 0 |
If someone is both old and not patient then someone is not creative or not brave and vice versa.
Everyone who is not brave is both not happy and not patient.
If fred is brave or funny then mary is not wise.
If someone is not patient or not strong then alice is both generous and not kind and vice versa.
Everyone who is ... | Mary is rich. | entailment | ((?[X]:((old(X)&~patient(X))))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(~brave(X)=>(~happy(X)&~patient(X))))&
(((brave(fred)|funny(fred)))=>(~wise(mary)))&
((?[X]:((~patient(X)|~strong(X))))<=>((generous(alice)&~kind(alice))))&
(![X]:((brave(X)|kind(X))<=>~patient(X)))&
(![X]:((~tall(X)<~>strong(X))=>(creative(X)|h... | rich(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6836216614492197708140210
% SZS output start Proof for 6836216614492197708140210
12. ! [X0] : ((~wise(X0) | ~rich(X0)) => (rich(X0) & ~rich(X0))) [input p11]
23. ~rich(mary) [input hypothesis]
32. ! [X0] : ((rich(X0) & ~rich(X0)) | (wise(X0) & rich(X0))) [ennf transformation 12]
107. rich... | 0 |
Everyone who is not generous or funny is kind.
Everyone who is not brave is kind and vice versa.
Everyone who is strong is either not old or not brave and vice versa.
Everyone who is both funny and generous is either wise or not creative.
If susan is both not strong and not curious then john is old or happy and vice ve... | Susan is quiet. | neutral | (![X]:((~generous(X)|funny(X))=>kind(X)))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:(strong(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((funny(X)&generous(X))=>(wise(X)<~>~creative(X))))&
(((~strong(susan)&~curious(susan)))<=>((old(john)|happy(john))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((~generous(X)&~tall(X)))))&
((~wis... | quiet(susan) | [] | null | 0 |
Everyone who is not curious or not quiet is both funny and strong.
If someone is both not brave and not calm then someone is old.
If someone is both strong and funny then someone is either generous or not strong.
If someone is either humble or funny then someone is not old or not tall and vice versa.
If someone is eith... | Lucy is strong. | entailment | (![X]:((~curious(X)|~quiet(X))=>(funny(X)&strong(X))))&
((?[X]:((~brave(X)&~calm(X))))=>(?[X]:(old(X))))&
((?[X]:((strong(X)&funny(X))))=>(?[X]:((generous(X)<~>~strong(X)))))&
((?[X]:((humble(X)<~>funny(X))))<=>(?[X]:((~old(X)|~tall(X)))))&
((?[X]:((~patient(X)<~>~kind(X))))=>((humble(paul)<~>kind(paul))))&
(((~creativ... | strong(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6608849383135068619345047
% SZS output start Proof for 6608849383135068619345047
1. ! [X0] : ((~quiet(X0) | ~curious(X0)) => (strong(X0) & funny(X0))) [input p0]
9. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p8]
23. ~strong(lucy) [input hypothesis]
30. ! [X0] : ((strong(X0) & funny(X0))... | 0 |
Everyone who is both not brave and not curious is funny and vice versa.
If alice is patient then alice is not wise or not tall and vice versa.
Everyone who is either not wise or tall is not creative or not generous and vice versa.
If paul is generous or not patient then someone is both not patient and happy.
If someone... | Susan is not wise. | contradiction | (![X]:((~brave(X)&~curious(X))<=>funny(X)))&
((patient(alice))<=>((~wise(alice)|~tall(alice))))&
(![X]:((~wise(X)<~>tall(X))<=>(~creative(X)|~generous(X))))&
(((generous(paul)|~patient(paul)))=>(?[X]:((~patient(X)&happy(X)))))&
((?[X]:((~patient(X)&old(X))))=>(?[X]:((curious(X)&wise(X)))))&
(((~happy(alice)<~>humble(al... | ~wise(susan) | [
"p9",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1930163342990795927597785
% SZS output start Proof for 1930163342990795927597785
10. (~humble(fred) | patient(fred)) => (~funny(susan) & wise(susan)) [input p9]
15. kind(lucy) <=> ? [X0] : humble(X0) [input p14]
23. ~kind(lucy) [input p22]
25. ~wise(susan) [input hypothesis]
36. (~funny(s... | 0 |
Everyone who is both not humble and happy is strong or not brave.
If someone is both not patient and not happy then someone is both not funny and not tall and vice versa.
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or ... | Alice is tall. | entailment | (![X]:((~humble(X)&happy(X))=>(strong(X)|~brave(X))))&
((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patien... | tall(alice) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 723384053539754897489291
% SZS output start Proof for 723384053539754897489291
8. ! [X0] : ((humble(X0) | generous(X0)) => tall(X0)) [input p7]
14. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p13]
22. ~tall(alice) [input hypothesis]
31. ! [X0] : (tall(X0) | (~humble(X0) & ~generous(X0)))... | 0 |
Everyone who is strong is not strong or quiet.
Everyone who is either not happy or creative is old or generous.
Everyone who is quiet or rich is either patient or not kind.
Everyone who is either generous or not rich is not calm or not brave.
If someone is either creative or calm then someone is either wise or calm and... | Paul is not humble. | entailment | (![X]:(strong(X)=>(~strong(X)|quiet(X))))&
(![X]:((~happy(X)<~>creative(X))=>(old(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(patient(X)<~>~kind(X))))&
(![X]:((generous(X)<~>~rich(X))=>(~calm(X)|~brave(X))))&
((?[X]:((creative(X)<~>calm(X))))<=>(?[X]:((wise(X)<~>calm(X)))))&
(![X]:((tall(X)&funny(X))<=>(~happy(X)<~>... | ~humble(paul) | [
"p2",
"p3",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 560827413625821135658882
% SZS output start Proof for 560827413625821135658882
3. ! [X0] : ((rich(X0) | quiet(X0)) => (patient(X0) <~> ~kind(X0))) [input p2]
4. ! [X0] : ((generous(X0) <~> ~rich(X0)) => (~brave(X0) | ~calm(X0))) [input p3]
9. ? [X0] : (generous(X0) <~> rich(X0)) => (~curi... | 0 |
Everyone who is funny is not rich or old.
Everyone who is not old or happy is either generous or not brave and vice versa.
If someone is not strong or not patient then susan is generous.
Everyone who is not strong is wise or brave and vice versa.
If fred is humble then alice is brave or curious and vice versa.
If someo... | John is curious. | contradiction | (![X]:(funny(X)=>(~rich(X)|old(X))))&
(![X]:((~old(X)|happy(X))<=>(generous(X)<~>~brave(X))))&
((?[X]:((~strong(X)|~patient(X))))=>(generous(susan)))&
(![X]:(~strong(X)<=>(wise(X)|brave(X))))&
((humble(fred))<=>((brave(alice)|curious(alice))))&
((?[X]:(happy(X)))<=>((~curious(lucy)|old(lucy))))&
(![X]:((~curious(X)&~ge... | curious(john) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1219126773330861174537550
% SZS output start Proof for 1219126773330861174537550
3. ? [X0] : (~patient(X0) | ~strong(X0)) => generous(susan) [input p2]
4. ! [X0] : (~strong(X0) <=> (brave(X0) | wise(X0))) [input p3]
7. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> ~wise(X0)) [input p6]
8. ... | 0 |
If someone is not patient or creative then someone is both not old and tall.
Everyone who is creative or happy is either strong or calm.
Everyone who is either calm or not brave is curious and vice versa.
Everyone who is either not humble or generous is not strong and vice versa.
Everyone who is both not creative and n... | Susan is not tall. | neutral | ((?[X]:((~patient(X)|creative(X))))=>(?[X]:((~old(X)&tall(X)))))&
(![X]:((creative(X)|happy(X))=>(strong(X)<~>calm(X))))&
(![X]:((calm(X)<~>~brave(X))<=>curious(X)))&
(![X]:((~humble(X)<~>generous(X))<=>~strong(X)))&
(![X]:((~creative(X)&~tall(X))=>~humble(X)))&
(((quiet(lucy)<~>creative(lucy)))=>(?[X]:(curious(X))))&
... | ~tall(susan) | [] | null | 0 |
If someone is both not happy and not strong then someone is not patient or not brave and vice versa. If someone is either kind or not creative then john is not rich or not calm. If lucy is wise then lucy is either not happy or not tall. If john is both brave and not happy then mary is either not creative or not rich an... | Fred is not creative. | entailment | ((?[X]:((~happy(X)&~strong(X))))<=>(?[X]:((~patient(X)|~brave(X)))))&
((?[X]:((kind(X)<~>~creative(X))))=>((~rich(john)|~calm(john))))&
((wise(lucy))=>((~happy(lucy)<~>~tall(lucy))))&
(((brave(john)&~happy(john)))<=>((~creative(mary)<~>~rich(mary))))&
(![X]:((~tall(X)<~>~calm(X))<=>patient(X)))&
(![X]:(calm(X)<=>(~happ... | ~creative(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 132401084404678176812246
% SZS output start Proof for 132401084404678176812246
15. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> ~happy(X0)) [input p14]
25. creative(fred) [input hypothesis]
63. ! [X0] : ((((creative(X0) | ~happy(X0)) & (~creative(X0) | happy(X0))) | happy(X0)) & (~happy(X0... | 0 |
Everyone who is not old is both tall and not generous and vice versa.
Everyone who is both tall and not brave is both not quiet and wise.
If mary is generous then john is not curious.
Everyone who is strong is both not strong and not wise and vice versa.
If someone is creative then someone is either not happy or wise.
... | Lucy is curious. | contradiction | (![X]:(~old(X)<=>(tall(X)&~generous(X))))&
(![X]:((tall(X)&~brave(X))=>(~quiet(X)&wise(X))))&
((generous(mary))=>(~curious(john)))&
(![X]:(strong(X)<=>(~strong(X)&~wise(X))))&
((?[X]:(creative(X)))=>(?[X]:((~happy(X)<~>wise(X)))))&
(((~quiet(paul)&creative(paul)))=>((~brave(susan)|~patient(susan))))&
((~funny(lucy))<=>... | curious(lucy) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5068425226115738441377600
% SZS output start Proof for 5068425226115738441377600
4. ! [X0] : (strong(X0) <=> (~wise(X0) & ~strong(X0))) [input p3]
16. ! [X0] : (curious(X0) <=> (~generous(X0) & strong(X0))) [input p15]
25. curious(lucy) [input hypothesis]
42. ! [X0] : ((strong(X0) | (wise... | 0 |
If paul is not tall then someone is not patient. If someone is not creative then someone is either not curious or quiet. If someone is either happy or not brave then someone is both happy and creative and vice versa. Everyone who is not rich is either not rich or curious and vice versa. Everyone who is not curious is n... | Paul is kind. | entailment | ((~tall(paul))=>(?[X]:(~patient(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)<~>~brave(X))))<=>(?[X]:((happy(X)&creative(X)))))&
(![X]:(~rich(X)<=>(~rich(X)<~>curious(X))))&
(![X]:(~curious(X)<=>~happy(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((happy(X)&pati... | kind(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1572808118344641787539772
% SZS output start Proof for 1572808118344641787539772
3. ? [X0] : (happy(X0) <~> ~brave(X0)) <=> ? [X0] : (creative(X0) & happy(X0)) [input p2]
4. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> curious(X0))) [input p3]
5. ! [X0] : (~curious(X0) <=> ~happy(X0)) [input p4... | 0 |
If someone is both not creative and creative then alice is either not calm or funny.
Everyone who is both old and funny is not wise and vice versa.
Everyone who is either tall or brave is either humble or curious and vice versa.
Everyone who is not old is both not funny and not kind and vice versa.
Everyone who is not ... | Alice is not curious. | entailment | ((?[X]:((~creative(X)&creative(X))))=>((~calm(alice)<~>funny(alice))))&
(![X]:((old(X)&funny(X))<=>~wise(X)))&
(![X]:((tall(X)<~>brave(X))<=>(humble(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)&~kind(X))))&
(![X]:((~patient(X)|old(X))<=>(calm(X)&~old(X))))&
(![X]:((~brave(X)|~humble(X))=>(~happy(X)&~patient(X))))&
(... | ~curious(alice) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6760925231263348167148944
% SZS output start Proof for 6760925231263348167148944
3. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (humble(X0) <~> curious(X0))) [input p2]
5. ! [X0] : ((old(X0) | ~patient(X0)) <=> (~old(X0) & calm(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~brave(X0)) => (~pati... | 0 |
Everyone who is both not curious and patient is both calm and not generous.
If someone is patient or not creative then alice is humble.
If lucy is both not quiet and not calm then someone is not generous or not curious and vice versa.
Everyone who is either not wise or not humble is both not quiet and old.
Everyone who... | Paul is not wise. | contradiction | (![X]:((~curious(X)&patient(X))=>(calm(X)&~generous(X))))&
((?[X]:((patient(X)|~creative(X))))=>(humble(alice)))&
(((~quiet(lucy)&~calm(lucy)))<=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:((~wise(X)<~>~humble(X))=>(~quiet(X)&old(X))))&
(![X]:(~patient(X)<=>(quiet(X)&tall(X))))&
(![X]:((~kind(X)<~>old(X))=>~patient(X)... | ~wise(paul) | [
"p3",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 441076958339835277977095
% SZS output start Proof for 441076958339835277977095
4. ! [X0] : ((~wise(X0) <~> ~humble(X0)) => (old(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : (~patient(X0) <=> (tall(X0) & quiet(X0))) [input p4]
13. ! [X0] : (curious(X0) <=> (old(X0) <~> curious(X0))) [input p1... | 0 |
If paul is not tall then mary is either not humble or not creative and vice versa.
Everyone who is either not strong or funny is wise.
Everyone who is not generous is not creative and vice versa.
If someone is either not tall or not happy then someone is old and vice versa.
If someone is either not happy or not brave t... | Susan is not quiet. | neutral | ((~tall(paul))<=>((~humble(mary)<~>~creative(mary))))&
(![X]:((~strong(X)<~>funny(X))=>wise(X)))&
(![X]:(~generous(X)<=>~creative(X)))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:(old(X))))&
((?[X]:((~happy(X)<~>~brave(X))))=>(?[X]:((~quiet(X)&tall(X)))))&
(((~quiet(susan)<~>~brave(susan)))=>(?[X]:((strong(X)&~rich(X))))... | ~quiet(susan) | [] | null | 0 |
Everyone who is not wise or happy is either humble or happy and vice versa. If someone is not humble or not old then john is strong and vice versa. Everyone who is wise is both wise and patient and vice versa. Everyone who is not calm is generous or not happy and vice versa. If someone is both calm and humble then fred... | John is not wise. | entailment | (![X]:((~wise(X)|happy(X))<=>(humble(X)<~>happy(X))))&
((?[X]:((~humble(X)|~old(X))))<=>(strong(john)))&
(![X]:(wise(X)<=>(wise(X)&patient(X))))&
(![X]:(~calm(X)<=>(generous(X)|~happy(X))))&
((?[X]:((calm(X)&humble(X))))<=>((creative(fred)|~brave(fred))))&
(![X]:((~funny(X)&calm(X))<=>(~wise(X)<~>wise(X))))&
((?[X]:((o... | ~wise(john) | [
"p3",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2250687595394194642265643
% SZS output start Proof for 2250687595394194642265643
4. ! [X0] : (~calm(X0) <=> (~happy(X0) | generous(X0))) [input p3]
6. ! [X0] : ((calm(X0) & ~funny(X0)) <=> (~wise(X0) <~> wise(X0))) [input p5]
12. ! [X0] : (~funny(X0) => (wise(X0) <~> ~generous(X0))) [inpu... | 0 |
If someone is either not funny or patient then someone is not rich or not happy.
If someone is patient then fred is both not humble and brave.
Everyone who is tall or wise is not generous.
If fred is both brave and creative then alice is either strong or not kind and vice versa.
Everyone who is either not quiet or not ... | Susan is humble. | neutral | ((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
((?[X]:(patient(X)))=>((~humble(fred)&brave(fred))))&
(![X]:((tall(X)|wise(X))=>~generous(X)))&
(((brave(fred)&creative(fred)))<=>((strong(alice)<~>~kind(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(generous(X)&~strong(X))))&
(![X]:(generous(X)<=>(kind(... | humble(susan) | [] | null | 0 |
If mary is not old or brave then someone is not humble and vice versa.
Everyone who is both strong and not old is happy or generous.
If john is not funny or not calm then someone is either humble or funny and vice versa.
If fred is not generous or not rich then someone is either not rich or not quiet and vice versa.
Ev... | Alice is happy. | entailment | (((~old(mary)|brave(mary)))<=>(?[X]:(~humble(X))))&
(![X]:((strong(X)&~old(X))=>(happy(X)|generous(X))))&
(((~funny(john)|~calm(john)))<=>(?[X]:((humble(X)<~>funny(X)))))&
(((~generous(fred)|~rich(fred)))<=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(![X]:(~funny(X)=>(funny(X)<~>~funny(X))))&
(![X]:(happy(X)=>(~brave(X)<~>creat... | happy(alice) | [
"p7",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5711317848130246054773708
% SZS output start Proof for 5711317848130246054773708
8. ? [X0] : (~generous(X0) & funny(X0)) => happy(alice) [input p7]
12. ! [X0] : (~quiet(X0) <=> (~happy(X0) & funny(X0))) [input p11]
15. ! [X0] : (~patient(X0) <=> (~generous(X0) <~> patient(X0))) [input p14... | 0 |
Everyone who is both not creative and wise is not tall and vice versa.
If mary is both not quiet and not tall then mary is both not calm and not patient and vice versa.
Everyone who is creative is not wise or not humble and vice versa.
If someone is not humble or not brave then susan is curious or not old and vice vers... | Susan is not tall. | contradiction | (![X]:((~creative(X)&wise(X))<=>~tall(X)))&
(((~quiet(mary)&~tall(mary)))<=>((~calm(mary)&~patient(mary))))&
(![X]:(creative(X)<=>(~wise(X)|~humble(X))))&
((?[X]:((~humble(X)|~brave(X))))<=>((curious(susan)|~old(susan))))&
((?[X]:((happy(X)|~brave(X))))=>(~strong(susan)))&
(![X]:((curious(X)&funny(X))<=>humble(X)))&
(!... | ~tall(susan) | [
"p0",
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7177907199997119096341832
% SZS output start Proof for 7177907199997119096341832
1. ! [X0] : ((wise(X0) & ~creative(X0)) <=> ~tall(X0)) [input p0]
3. ! [X0] : (creative(X0) <=> (~humble(X0) | ~wise(X0))) [input p2]
18. ~humble(susan) & generous(susan) [input p17]
22. ~tall(susan) [input h... | 0 |
Everyone who is either not old or not kind is either humble or not old and vice versa.
If fred is calm or wise then fred is both brave and not humble and vice versa.
Everyone who is either not old or not patient is either funny or patient.
If fred is funny or not old then someone is old and vice versa.
Everyone who is ... | Fred is patient. | neutral | (![X]:((~old(X)<~>~kind(X))<=>(humble(X)<~>~old(X))))&
(((calm(fred)|wise(fred)))<=>((brave(fred)&~humble(fred))))&
(![X]:((~old(X)<~>~patient(X))=>(funny(X)<~>patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~ric... | patient(fred) | [] | null | 0 |
Everyone who is either not happy or brave is not happy or quiet and vice versa. Everyone who is not strong or brave is both not quiet and not happy and vice versa. Everyone who is either not wise or calm is both generous and tall and vice versa. Everyone who is not curious is not wise or not humble. If someone is eithe... | Alice is not happy. | entailment | (![X]:((~happy(X)<~>brave(X))<=>(~happy(X)|quiet(X))))&
(![X]:((~strong(X)|brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(generous(X)&tall(X))))&
(![X]:(~curious(X)=>(~wise(X)|~humble(X))))&
((?[X]:((~generous(X)<~>funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:(strong(X)))<=>((brave(alice)&strong(alice)... | ~happy(alice) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4740610048527681635875243
% SZS output start Proof for 4740610048527681635875243
1. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> (quiet(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~strong(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
6. ? [X0] : strong(X0) <=> (strong(alice) & br... | 0 |
If someone is generous then paul is kind and vice versa.
Everyone who is not funny or not patient is not rich and vice versa.
Everyone who is not patient or not curious is not happy and vice versa.
If john is happy or not creative then someone is wise.
Everyone who is not tall or rich is not rich and vice versa.
Everyo... | Mary is not humble. | entailment | ((?[X]:(generous(X)))<=>(kind(paul)))&
(![X]:((~funny(X)|~patient(X))<=>~rich(X)))&
(![X]:((~patient(X)|~curious(X))<=>~happy(X)))&
(((happy(john)|~creative(john)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|rich(X))<=>~rich(X)))&
(![X]:((~happy(X)<~>~old(X))<=>calm(X)))&
(((brave(mary)&old(mary)))<=>(?[X]:((~strong(X)<~>bra... | ~humble(mary) | [
"p1",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7951294973879768664356693
% SZS output start Proof for 7951294973879768664356693
2. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~tall(X0)) <=> ~rich(X0)) [input p4]
8. ! [X0] : (funny(X0) <=> (kind(X0) | ~creative(X0))) [input p7]
16. ! [X0] : ... | 0 |
Everyone who is old or wise is both funny and not creative and vice versa.
If someone is both strong and wise then someone is either not quiet or quiet.
Everyone who is strong is happy or not rich.
If someone is humble or not old then fred is old and vice versa.
Everyone who is calm or not creative is either not humble... | Lucy is humble. | entailment | (![X]:((old(X)|wise(X))<=>(funny(X)&~creative(X))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:(strong(X)=>(happy(X)|~rich(X))))&
((?[X]:((humble(X)|~old(X))))<=>(old(fred)))&
(![X]:((calm(X)|~creative(X))=>(~humble(X)<~>calm(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>~pa... | humble(lucy) | [
"p0",
"p4",
"p7",
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5879891919635549922514057
% SZS output start Proof for 5879891919635549922514057
1. ! [X0] : ((wise(X0) | old(X0)) <=> (~creative(X0) & funny(X0))) [input p0]
5. ! [X0] : ((~creative(X0) | calm(X0)) => (~humble(X0) <~> calm(X0))) [input p4]
8. ! [X0] : ((old(X0) & happy(X0)) <=> (calm(X0)... | 0 |
If alice is either wise or not patient then fred is both old and not funny and vice versa.
Everyone who is not generous or not quiet is both rich and kind and vice versa.
If paul is not quiet or kind then someone is both not creative and not calm and vice versa.
If paul is both not quiet and quiet then paul is both not... | John is not wise. | neutral | (((wise(alice)<~>~patient(alice)))<=>((old(fred)&~funny(fred))))&
(![X]:((~generous(X)|~quiet(X))<=>(rich(X)&kind(X))))&
(((~quiet(paul)|kind(paul)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(((~quiet(paul)&quiet(paul)))<=>((~creative(paul)&brave(paul))))&
(![X]:((generous(X)|~patient(X))<=>~happy(X)))&
((~wise(alice))=>((... | ~wise(john) | [] | null | 0 |
Everyone who is either not tall or wise is both calm and not funny.
Everyone who is either not tall or not wise is either not curious or humble.
Everyone who is both quiet and old is either patient or creative.
If alice is not humble or not quiet then someone is creative or brave.
If someone is both brave and patient t... | Fred is wise. | contradiction | (![X]:((~tall(X)<~>wise(X))=>(calm(X)&~funny(X))))&
(![X]:((~tall(X)<~>~wise(X))=>(~curious(X)<~>humble(X))))&
(![X]:((quiet(X)&old(X))=>(patient(X)<~>creative(X))))&
(((~humble(alice)|~quiet(alice)))=>(?[X]:((creative(X)|brave(X)))))&
((?[X]:((brave(X)&patient(X))))<=>((creative(fred)&tall(fred))))&
(![X]:(happy(X)=>(... | wise(fred) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6417784051396171374451276
% SZS output start Proof for 6417784051396171374451276
1. ! [X0] : ((~tall(X0) <~> wise(X0)) => (~funny(X0) & calm(X0))) [input p0]
5. ? [X0] : (patient(X0) & brave(X0)) <=> (tall(fred) & creative(fred)) [input p4]
7. ! [X0] : ((~creative(X0) & ~brave(X0)) => (~q... | 0 |
Everyone who is both old and happy is both not calm and patient and vice versa.
If fred is either creative or patient then fred is both not patient and kind.
If someone is both strong and not strong then paul is kind or not generous.
Everyone who is not humble is not curious or tall.
Everyone who is not old is brave or... | Mary is not happy. | contradiction | (![X]:((old(X)&happy(X))<=>(~calm(X)&patient(X))))&
(((creative(fred)<~>patient(fred)))=>((~patient(fred)&kind(fred))))&
((?[X]:((strong(X)&~strong(X))))=>((kind(paul)|~generous(paul))))&
(![X]:(~humble(X)=>(~curious(X)|tall(X))))&
(![X]:(~old(X)=>(brave(X)|~kind(X))))&
(![X]:((quiet(X)<~>~creative(X))=>(strong(X)&tall... | ~happy(mary) | [
"p11",
"p14",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1966619260307923773488470
% SZS output start Proof for 1966619260307923773488470
12. ! [X0] : ((patient(X0) | ~quiet(X0)) => (creative(X0) | happy(X0))) [input p11]
15. ! [X0] : ((~patient(X0) <~> tall(X0)) => (~happy(X0) & brave(X0))) [input p14]
20. ~tall(mary) & ~brave(mary) [input p19... | 0 |
Everyone who is both brave and not creative is strong and vice versa.
If someone is either not creative or not wise then mary is both not generous and strong and vice versa.
If lucy is either not calm or not tall then alice is not brave or not wise and vice versa.
Everyone who is kind or strong is either not wise or no... | Paul is curious. | entailment | (![X]:((brave(X)&~creative(X))<=>strong(X)))&
((?[X]:((~creative(X)<~>~wise(X))))<=>((~generous(mary)&strong(mary))))&
(((~calm(lucy)<~>~tall(lucy)))<=>((~brave(alice)|~wise(alice))))&
(![X]:((kind(X)|strong(X))<=>(~wise(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~funny(X)))&
(![X]:(~wise(X)<=>(~calm(X)|~patie... | curious(paul) | [
"p7",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2385537720940081830707579
% SZS output start Proof for 2385537720940081830707579
8. ! [X0] : ((quiet(X0) & funny(X0)) <=> (~curious(X0) | funny(X0))) [input p7]
12. ! [X0] : ((curious(X0) & ~happy(X0)) <=> rich(X0)) [input p11]
14. ! [X0] : ((rich(X0) & calm(X0)) <=> funny(X0)) [input p13... | 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... | Alice is not strong. | neutral | (![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... | ~strong(alice) | [] | null | 0 |
Everyone who is either curious or funny is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who is either creative or not brave is either not happy or not rich and vice versa.
If john is not tall or not quiet then alice is creative or tall.
Ever... | Fred is tall. | entailment | (![X]:((curious(X)<~>funny(X))=>(~funny(X)&~happy(X))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(john)))=>((creative(alice)|tall(alice))))&
(![X]:((curious(X)<~>~rich(X))=>(~creative(X)<~>~humble(X))))&
(![X]:((patient(X)|~... | tall(fred) | [
"p0",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5211255462026128736757479
% SZS output start Proof for 5211255462026128736757479
1. ! [X0] : ((curious(X0) <~> funny(X0)) => (~happy(X0) & ~funny(X0))) [input p0]
8. ? [X0] : (~creative(X0) | kind(X0)) <=> (happy(mary) & funny(mary)) [input p7]
12. ! [X0] : ((kind(X0) | ~creative(X0)) => ... | 0 |
If someone is not strong then someone is old or not generous and vice versa.
Everyone who is either not quiet or not old is not wise or not humble and vice versa.
If someone is either not quiet or humble then someone is not creative or patient and vice versa.
If someone is both not quiet and not humble then someone is ... | Fred is not wise. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~generous(X)))))&
(![X]:((~quiet(X)<~>~old(X))<=>(~wise(X)|~humble(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((~quiet(X)&~humble(X))))=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((~quiet(X)|generous(X))=>(tall(X)<~>old(X))))&
(![X]:((cur... | ~wise(fred) | [
"p1",
"p4",
"p7",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5519625897768924558999419
% SZS output start Proof for 5519625897768924558999419
2. ! [X0] : ((~quiet(X0) <~> ~old(X0)) <=> (~humble(X0) | ~wise(X0))) [input p1]
5. ! [X0] : ((generous(X0) | ~quiet(X0)) => (tall(X0) <~> old(X0))) [input p4]
8. ! [X0] : ((~humble(X0) | old(X0)) <=> (creati... | 0 |
If mary is calm or funny then mary is not creative.
Everyone who is both old and not quiet is both calm and old and vice versa.
If someone is either strong or wise then someone is not quiet and vice versa.
Everyone who is either not funny or quiet is both not quiet and old and vice versa.
Everyone who is either old or ... | Paul is not generous. | contradiction | (((calm(mary)|funny(mary)))=>(~creative(mary)))&
(![X]:((old(X)&~quiet(X))<=>(calm(X)&old(X))))&
((?[X]:((strong(X)<~>wise(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~funny(X)<~>quiet(X))<=>(~quiet(X)&old(X))))&
(![X]:((old(X)<~>~old(X))<=>(tall(X)<~>~curious(X))))&
((?[X]:((old(X)&~old(X))))<=>((~strong(alice)&~tall(alice))... | ~generous(paul) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9021905310542197687513496
% SZS output start Proof for 9021905310542197687513496
11. ! [X0] : ((rich(X0) | patient(X0)) => (generous(X0) | ~patient(X0))) [input p10]
12. ! [X0] : ((humble(X0) | ~patient(X0)) => (patient(X0) | generous(X0))) [input p11]
24. ~generous(paul) [input hypothesi... | 0 |
If someone is not brave then someone is not brave or wise.
Everyone who is wise or not humble is not rich.
Everyone who is either not rich or rich is either creative or brave.
Everyone who is not creative is either not creative or wise.
Everyone who is both not creative and creative is creative and vice versa.
If paul ... | Alice is not patient. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((wise(X)|~humble(X))=>~rich(X)))&
(![X]:((~rich(X)<~>rich(X))=>(creative(X)<~>brave(X))))&
(![X]:(~creative(X)=>(~creative(X)<~>wise(X))))&
(![X]:((~creative(X)&creative(X))<=>creative(X)))&
((patient(paul))=>(?[X]:((happy(X)<~>~curious(X)))))&
((?[X]:((~creati... | ~patient(alice) | [] | null | 0 |
Everyone who is both not quiet and funny is not wise or funny and vice versa.
If someone is both rich and not patient then someone is generous or not strong and vice versa.
If fred is brave or not kind then someone is both not strong and strong and vice versa.
Everyone who is not happy is both not wise and not creative... | John is not happy. | neutral | (![X]:((~quiet(X)&funny(X))<=>(~wise(X)|funny(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((generous(X)|~strong(X)))))&
(((brave(fred)|~kind(fred)))<=>(?[X]:((~strong(X)&strong(X)))))&
(![X]:(~happy(X)=>(~wise(X)&~creative(X))))&
(![X]:((~humble(X)&quiet(X))=>(tall(X)|quiet(X))))&
(![X]:(~wise(X)=>(~calm(X)|~patient... | ~happy(john) | [] | null | 0 |
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