premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not funny or not brave is not quiet or humble.
Everyone who is curious is either tall or not generous.
If john is both not wise and wise then someone is either happy or not humble.
Everyone who is not patient is either not kind or not creative and vice versa.
If someone is both not wise and not rich the... | Susan is not wise. | neutral | (![X]:((~funny(X)|~brave(X))=>(~quiet(X)|humble(X))))&
(![X]:(curious(X)=>(tall(X)<~>~generous(X))))&
(((~wise(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~patient(X)<=>(~kind(X)<~>~creative(X))))&
((?[X]:((~wise(X)&~rich(X))))=>(~tall(john)))&
(![X]:((~strong(X)<~>~quiet(X))<=>(generous(X)&~curious(X... | ~wise(susan) | [] | null | 0 |
Everyone who is wise is quiet or not old and vice versa.
Everyone who is old is both wise and rich and vice versa.
If someone is either patient or humble then john is calm.
If someone is rich then alice is not calm and vice versa.
If someone is not wise then susan is either not calm or not generous.
If someone is not c... | Susan is tall. | neutral | (![X]:(wise(X)<=>(quiet(X)|~old(X))))&
(![X]:(old(X)<=>(wise(X)&rich(X))))&
((?[X]:((patient(X)<~>humble(X))))=>(calm(john)))&
((?[X]:(rich(X)))<=>(~calm(alice)))&
((?[X]:(~wise(X)))=>((~calm(susan)<~>~generous(susan))))&
((?[X]:((~curious(X)|old(X))))=>(?[X]:(strong(X))))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((~... | tall(susan) | [] | null | 0 |
Everyone who is not quiet is both not quiet and not curious and vice versa.
If alice is old then john is tall.
Everyone who is patient or not funny is not rich or funny and vice versa.
If someone is not calm or generous then someone is either not kind or not wise.
Everyone who is either not old or not brave is both not... | John is funny. | neutral | (![X]:(~quiet(X)<=>(~quiet(X)&~curious(X))))&
((old(alice))=>(tall(john)))&
(![X]:((patient(X)|~funny(X))<=>(~rich(X)|funny(X))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((~old(X)<~>~brave(X))<=>(~strong(X)&~rich(X))))&
(((~creative(alice)<~>~quiet(alice)))=>(?[X]:((~rich(X)&~calm(X)))... | funny(john) | [] | null | 0 |
Everyone who is either not old or not tall is both quiet and tall.
If alice is funny or strong then mary is both not patient and humble and vice versa.
If someone is quiet or not funny then someone is both not humble and patient and vice versa.
If someone is strong then someone is both not creative and strong.
If someo... | Paul is brave. | entailment | (![X]:((~old(X)<~>~tall(X))=>(quiet(X)&tall(X))))&
(((funny(alice)|strong(alice)))<=>((~patient(mary)&humble(mary))))&
((?[X]:((quiet(X)|~funny(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~creative(X)&strong(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)<~>brave(X)))))&
((?[X]:((quiet(X)&tal... | brave(paul) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6379102191052941316611927
% SZS output start Proof for 6379102191052941316611927
12. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p11]
17. brave(paul) | ~strong(paul) [input p16]
24. ~brave(paul) [input hypothesis]
39. ! [X0] : (strong(X0) | (~quiet(X0) <=> quiet(X0))) [ennf... | 0 |
Everyone who is either not funny or old is both not strong and generous. If someone is both not creative and rich then someone is either quiet or not calm. Everyone who is old is not rich or old and vice versa. Everyone who is both not rich and quiet is brave or tall. Everyone who is both not strong and not patient is ... | Susan is brave. | contradiction | (![X]:((~funny(X)<~>old(X))=>(~strong(X)&generous(X))))&
((?[X]:((~creative(X)&rich(X))))=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:(old(X)<=>(~rich(X)|old(X))))&
(![X]:((~rich(X)&quiet(X))=>(brave(X)|tall(X))))&
(![X]:((~strong(X)&~patient(X))<=>(~kind(X)<~>~humble(X))))&
((quiet(john))<=>((brave(mary)<~>~quiet(mary))))... | brave(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6526055224710484251284064
% SZS output start Proof for 6526055224710484251284064
13. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> strong(X0)) [input p12]
25. brave(susan) [input hypothesis]
55. ! [X0] : (((~brave(X0) | ~strong(X0)) | ~strong(X0)) & (strong(X0) | (brave(X0) & strong(X0)))) [nn... | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not humble and not kind and vice versa.
Everyone who is either not rich or curious is both not humble and not curious and vice versa.
If susan is wise ... | Mary is kind. | contradiction | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~humble(X)&~kind(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~humble(X)&~curious(X))))&
(((wise(susan)|creative(susan)))<=>((~tall(lucy)<~>~patient(lucy))))&
(![X]:(creative(X)<=>(~kind(X)<~>~patient(X... | kind(mary) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5144715900863861982846600
% SZS output start Proof for 5144715900863861982846600
1. ! [X0] : (~happy(X0) <=> (rich(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> funny(X0)) => ~kind(X0)) [input p1]
3. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~kind(X0) & ~humble(X0))) [inp... | 0 |
If someone is either wise or humble then someone is either kind or not quiet and vice versa.
Everyone who is both rich and not funny is funny or generous and vice versa.
If susan is not generous then john is both not creative and not funny.
Everyone who is creative or not wise is both kind and calm.
Everyone who is bot... | Lucy is not kind. | contradiction | ((?[X]:((wise(X)<~>humble(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((rich(X)&~funny(X))<=>(funny(X)|generous(X))))&
((~generous(susan))=>((~creative(john)&~funny(john))))&
(![X]:((creative(X)|~wise(X))=>(kind(X)&calm(X))))&
(![X]:((~kind(X)&calm(X))<=>(old(X)&~happy(X))))&
(((~curious(fred)<~>~brave(fred)))<=>((g... | ~kind(lucy) | [
"p3",
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3540957736073518999683731
% SZS output start Proof for 3540957736073518999683731
4. ! [X0] : ((~wise(X0) | creative(X0)) => (calm(X0) & kind(X0))) [input p3]
7. ! [X0] : ((brave(X0) & ~rich(X0)) <=> strong(X0)) [input p6]
14. ! [X0] : ((rich(X0) & brave(X0)) <=> (wise(X0) <~> ~patient(X0)... | 0 |
Everyone who is old is not funny or rich and vice versa. Everyone who is either not funny or creative is either creative or happy. Everyone who is either not tall or strong is either not old or not calm. Everyone who is rich is brave or not kind and vice versa. If paul is either not creative or calm then someone is hap... | Lucy is not strong. | entailment | (![X]:(old(X)<=>(~funny(X)|rich(X))))&
(![X]:((~funny(X)<~>creative(X))=>(creative(X)<~>happy(X))))&
(![X]:((~tall(X)<~>strong(X))=>(~old(X)<~>~calm(X))))&
(![X]:(rich(X)<=>(brave(X)|~kind(X))))&
(((~creative(paul)<~>calm(paul)))<=>(?[X]:((happy(X)|~creative(X)))))&
(![X]:((~quiet(X)|humble(X))<=>~humble(X)))&
((?[X]:(... | ~strong(lucy) | [
"p0",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1816863759630833175636248
% SZS output start Proof for 1816863759630833175636248
1. ! [X0] : (old(X0) <=> (rich(X0) | ~funny(X0))) [input p0]
7. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & ~old(X0)) [input p6]
8. ! [X0] : (~wise(X0) <=> (~funny(X0) & kind(X0))) [input p7]
22. strong(lucy... | 0 |
If someone is either not happy or not funny then someone is both patient and not quiet and vice versa.
Everyone who is either rich or calm is either not happy or patient and vice versa.
If someone is both not patient and not strong then someone is both funny and not wise.
Everyone who is either wise or quiet is curious... | Fred is happy. | entailment | ((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:((rich(X)<~>calm(X))<=>(~happy(X)<~>patient(X))))&
((?[X]:((~patient(X)&~strong(X))))=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((wise(X)<~>quiet(X))=>curious(X)))&
(![X]:((~old(X)&strong(X))=>(wise(X)|~brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>hum... | happy(fred) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2041363858640929022890228
% SZS output start Proof for 2041363858640929022890228
1. ? [X0] : (~happy(X0) <~> ~funny(X0)) <=> ? [X0] : (~quiet(X0) & patient(X0)) [input p0]
2. ! [X0] : ((rich(X0) <~> calm(X0)) <=> (~happy(X0) <~> patient(X0))) [input p1]
6. ! [X0] : ((~calm(X0) & ~kind(X0)... | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Fred is not strong. | entailment | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | ~strong(fred) | [
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1802015302388099345250404
% SZS output start Proof for 1802015302388099345250404
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~creative(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | st... | 0 |
Everyone who is both old and not patient is either humble or tall and vice versa. Everyone who is not generous is happy or not kind. Everyone who is either strong or tall is not calm or calm. If lucy is rich then alice is both not humble and curious and vice versa. Everyone who is either not creative or not curious is ... | Lucy is curious. | entailment | (![X]:((old(X)&~patient(X))<=>(humble(X)<~>tall(X))))&
(![X]:(~generous(X)=>(happy(X)|~kind(X))))&
(![X]:((strong(X)<~>tall(X))=>(~calm(X)|calm(X))))&
((rich(lucy))<=>((~humble(alice)&curious(alice))))&
(![X]:((~creative(X)<~>~curious(X))=>kind(X)))&
(![X]:((patient(X)|funny(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~hu... | curious(lucy) | [
"p8",
"p10",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3560524843106592678510640
% SZS output start Proof for 3560524843106592678510640
9. ! [X0] : ((~humble(X0) | brave(X0)) => kind(X0)) [input p8]
11. ? [X0] : humble(X0) <=> (~calm(lucy) & ~funny(lucy)) [input p10]
16. ! [X0] : ((generous(X0) | ~calm(X0)) => curious(X0)) [input p15]
23. ? [... | 0 |
If mary is not calm or not brave then susan is both patient and funny.
If lucy is both curious and wise then someone is not creative and vice versa.
Everyone who is both kind and not funny is either not curious or not wise and vice versa.
Everyone who is either rich or funny is not calm and vice versa.
Everyone who is ... | John is calm. | neutral | (((~calm(mary)|~brave(mary)))=>((patient(susan)&funny(susan))))&
(((curious(lucy)&wise(lucy)))<=>(?[X]:(~creative(X))))&
(![X]:((kind(X)&~funny(X))<=>(~curious(X)<~>~wise(X))))&
(![X]:((rich(X)<~>funny(X))<=>~calm(X)))&
(![X]:((kind(X)&creative(X))=>(~kind(X)&wise(X))))&
((?[X]:((funny(X)|~old(X))))=>(?[X]:((calm(X)<~>... | calm(john) | [] | null | 0 |
Everyone who is both happy and brave is not kind or happy and vice versa. If mary is both not brave and not rich then someone is strong and vice versa. Everyone who is rich or not old is either happy or not creative. If someone is both not calm and curious then someone is either not quiet or rich and vice versa. Everyo... | Paul is strong. | contradiction | (![X]:((happy(X)&brave(X))<=>(~kind(X)|happy(X))))&
(((~brave(mary)&~rich(mary)))<=>(?[X]:(strong(X))))&
(![X]:((rich(X)|~old(X))=>(happy(X)<~>~creative(X))))&
((?[X]:((~calm(X)&curious(X))))<=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((~kind(X)|~strong(X))<=>quiet(X)))&
(![X]:((~generous(X)<~>humble(X))<=>~rich(X)))&
((... | strong(paul) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2882654052219984137460566
% SZS output start Proof for 2882654052219984137460566
9. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~rich(X0))) [input p8]
16. ? [X0] : (~happy(X0) <~> happy(X0)) => (funny(paul) & ~rich(paul)) [input p15]
25. strong(paul) [input hypothesis]
32. (funny(paul) & ~r... | 0 |
If someone is both not rich and not patient then someone is calm and vice versa.
Everyone who is both not old and strong is both calm and not patient and vice versa.
Everyone who is either not kind or not wise is patient and vice versa.
Everyone who is both humble and patient is not kind or not calm.
Everyone who is wi... | Lucy is not creative. | neutral | ((?[X]:((~rich(X)&~patient(X))))<=>(?[X]:(calm(X))))&
(![X]:((~old(X)&strong(X))<=>(calm(X)&~patient(X))))&
(![X]:((~kind(X)<~>~wise(X))<=>patient(X)))&
(![X]:((humble(X)&patient(X))=>(~kind(X)|~calm(X))))&
(![X]:((wise(X)|~strong(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:(funny(X)<=>(happy(X)&kind(X))))&
((~calm(mary))<... | ~creative(lucy) | [] | null | 0 |
Everyone who is generous is both quiet and not humble and vice versa.
Everyone who is both humble and patient is not patient.
Everyone who is kind is curious or not generous and vice versa.
Everyone who is not patient or not strong is either not curious or not humble.
Everyone who is old is curious and vice versa.
If s... | John is not kind. | contradiction | (![X]:(generous(X)<=>(quiet(X)&~humble(X))))&
(![X]:((humble(X)&patient(X))=>~patient(X)))&
(![X]:(kind(X)<=>(curious(X)|~generous(X))))&
(![X]:((~patient(X)|~strong(X))=>(~curious(X)<~>~humble(X))))&
(![X]:(old(X)<=>curious(X)))&
(((curious(susan)|tall(susan)))<=>(?[X]:((~humble(X)<~>~generous(X)))))&
((?[X]:((wise(X)... | ~kind(john) | [
"p2",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6742390973090624446902445
% SZS output start Proof for 6742390973090624446902445
3. ! [X0] : (kind(X0) <=> (~generous(X0) | curious(X0))) [input p2]
5. ! [X0] : (old(X0) <=> curious(X0)) [input p4]
17. ~calm(john) & old(john) [input p16]
25. ~kind(john) [input hypothesis]
38. ! [X0] : ((k... | 0 |
Everyone who is either not rich or curious is both not brave and not wise. Everyone who is not rich is both calm and not humble. If someone is either not strong or funny then someone is either not patient or tall and vice versa. Everyone who is old or not strong is wise or not calm. Everyone who is either not strong or... | Susan is brave. | neutral | (![X]:((~rich(X)<~>curious(X))=>(~brave(X)&~wise(X))))&
(![X]:(~rich(X)=>(calm(X)&~humble(X))))&
((?[X]:((~strong(X)<~>funny(X))))<=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(joh... | brave(susan) | [] | null | 0 |
If paul is brave or creative then lucy is either not tall or not brave.
If paul is wise or kind then someone is both curious and happy and vice versa.
If paul is either not strong or not old then fred is not patient and vice versa.
If john is patient then susan is either not rich or not creative and vice versa.
Everyon... | Susan is brave. | entailment | (((brave(paul)|creative(paul)))=>((~tall(lucy)<~>~brave(lucy))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((curious(X)&happy(X)))))&
(((~strong(paul)<~>~old(paul)))<=>(~patient(fred)))&
((patient(john))<=>((~rich(susan)<~>~creative(susan))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(... | brave(susan) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 494563305205909556504142
% SZS output start Proof for 494563305205909556504142
6. ! [X0] : (generous(X0) <=> (creative(X0) | strong(X0))) [input p5]
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
13. ? [X0] : (~brave(X0) & ~strong(X0)) <=> (~curious(mary) & creative(mary... | 0 |
Everyone who is strong or curious is not quiet or curious and vice versa.
Everyone who is both tall and happy is rich or not quiet and vice versa.
If fred is not strong then someone is creative or not wise and vice versa.
If john is both not kind and not strong then someone is not calm and vice versa.
If someone is bot... | Fred is humble. | contradiction | (![X]:((strong(X)|curious(X))<=>(~quiet(X)|curious(X))))&
(![X]:((tall(X)&happy(X))<=>(rich(X)|~quiet(X))))&
((~strong(fred))<=>(?[X]:((creative(X)|~wise(X)))))&
(((~kind(john)&~strong(john)))<=>(?[X]:(~calm(X))))&
((?[X]:((~wise(X)&quiet(X))))=>((~humble(lucy)&generous(lucy))))&
(![X]:((~funny(X)<~>~humble(X))=>(~gene... | humble(fred) | [
"p1",
"p2",
"p4",
"p7",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2674857329387087452811389
% SZS output start Proof for 2674857329387087452811389
2. ! [X0] : ((happy(X0) & tall(X0)) <=> (~quiet(X0) | rich(X0))) [input p1]
3. ~strong(fred) <=> ? [X0] : (~wise(X0) | creative(X0)) [input p2]
5. ? [X0] : (quiet(X0) & ~wise(X0)) => (generous(lucy) & ~humble... | 0 |
If someone is either not brave or not creative then alice is tall and vice versa.
If someone is not patient or not quiet then lucy is both wise and creative and vice versa.
If susan is either not strong or rich then paul is not funny or rich and vice versa.
Everyone who is humble or strong is rich.
If paul is not curio... | Lucy is creative. | neutral | ((?[X]:((~brave(X)<~>~creative(X))))<=>(tall(alice)))&
((?[X]:((~patient(X)|~quiet(X))))<=>((wise(lucy)&creative(lucy))))&
(((~strong(susan)<~>rich(susan)))<=>((~funny(paul)|rich(paul))))&
(![X]:((humble(X)|strong(X))=>rich(X)))&
(((~curious(paul)|brave(paul)))=>(~patient(susan)))&
((?[X]:((~rich(X)<~>~generous(X))))=>... | creative(lucy) | [] | null | 0 |
If mary is not generous or not patient then susan is both not old and happy. Everyone who is funny or happy is both not wise and not humble. If john is both curious and not creative then someone is either creative or not kind. If john is not humble then someone is not creative or quiet. Everyone who is not wise is eith... | Alice is humble. | contradiction | (((~generous(mary)|~patient(mary)))=>((~old(susan)&happy(susan))))&
(![X]:((funny(X)|happy(X))=>(~wise(X)&~humble(X))))&
(((curious(john)&~creative(john)))=>(?[X]:((creative(X)<~>~kind(X)))))&
((~humble(john))=>(?[X]:((~creative(X)|quiet(X)))))&
(![X]:(~wise(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(lucy)&~patient(luc... | humble(alice) | [
"p1",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4970772924021811383365741
% SZS output start Proof for 4970772924021811383365741
2. ! [X0] : ((happy(X0) | funny(X0)) => (~humble(X0) & ~wise(X0))) [input p1]
11. ! [X0] : ((~happy(X0) | ~patient(X0)) => funny(X0)) [input p10]
19. ~patient(alice) [input p18]
23. humble(alice) [input hypot... | 0 |
Everyone who is both not wise and strong is curious or not kind and vice versa.
If someone is not tall or kind then someone is generous or not happy and vice versa.
Everyone who is not funny is creative.
Everyone who is both creative and happy is calm or not humble and vice versa.
Everyone who is either quiet or genero... | Paul is not creative. | contradiction | (![X]:((~wise(X)&strong(X))<=>(curious(X)|~kind(X))))&
((?[X]:((~tall(X)|kind(X))))<=>(?[X]:((generous(X)|~happy(X)))))&
(![X]:(~funny(X)=>creative(X)))&
(![X]:((creative(X)&happy(X))<=>(calm(X)|~humble(X))))&
(![X]:((quiet(X)<~>generous(X))<=>(creative(X)|~curious(X))))&
((?[X]:(~generous(X)))=>(~generous(mary)))&
(![... | ~creative(paul) | [
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7853760210620374368395945
% SZS output start Proof for 7853760210620374368395945
4. ! [X0] : ((happy(X0) & creative(X0)) <=> (~humble(X0) | calm(X0))) [input p3]
19. happy(paul) & ~humble(paul) [input p18]
25. ~creative(paul) [input hypothesis]
44. ! [X0] : (((happy(X0) & creative(X0)) | ... | 0 |
Everyone who is both brave and curious is either not funny or old and vice versa.
Everyone who is both happy and not generous is either strong or tall.
Everyone who is either kind or not humble is both not creative and creative and vice versa.
Everyone who is both humble and creative is both tall and kind and vice vers... | John is patient. | contradiction | (![X]:((brave(X)&curious(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)&~generous(X))=>(strong(X)<~>tall(X))))&
(![X]:((kind(X)<~>~humble(X))<=>(~creative(X)&creative(X))))&
(![X]:((humble(X)&creative(X))<=>(tall(X)&kind(X))))&
(((~brave(john)<~>~kind(john)))=>(quiet(alice)))&
(![X]:((kind(X)<~>patient(X))=>(creative(X... | patient(john) | [
"p2",
"p3",
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 777505653970338163417459
% SZS output start Proof for 777505653970338163417459
3. ! [X0] : ((kind(X0) <~> ~humble(X0)) <=> (creative(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((creative(X0) & humble(X0)) <=> (kind(X0) & tall(X0))) [input p3]
6. ! [X0] : ((kind(X0) <~> patient(X0)) => (... | 0 |
Everyone who is either not tall or humble is not generous and vice versa.
If someone is not happy or not curious then fred is not curious or not humble.
If john is either generous or quiet then alice is both rich and patient and vice versa.
Everyone who is old is either not funny or quiet.
If paul is not happy then fre... | Fred is not curious. | neutral | (![X]:((~tall(X)<~>humble(X))<=>~generous(X)))&
((?[X]:((~happy(X)|~curious(X))))=>((~curious(fred)|~humble(fred))))&
(((generous(john)<~>quiet(john)))<=>((rich(alice)&patient(alice))))&
(![X]:(old(X)=>(~funny(X)<~>quiet(X))))&
((~happy(paul))<=>((~creative(fred)&~funny(fred))))&
(![X]:((~old(X)<~>tall(X))<=>(~generous... | ~curious(fred) | [] | null | 0 |
If someone is curious or not curious then someone is either tall or not generous and vice versa. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is either old or curious then someone is calm. Everyone who is... | Lucy is happy. | entailment | ((?[X]:((curious(X)|~curious(X))))<=>(?[X]:((tall(X)<~>~generous(X)))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]:((~curious(X)<~>patient(X))<=>(~old(X... | happy(lucy) | [
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1345202390832505143643351
% SZS output start Proof for 1345202390832505143643351
5. ! [X0] : (happy(X0) <=> generous(X0)) [input p4]
9. ! [X0] : (curious(X0) <=> ~strong(X0)) [input p8]
14. ? [X0] : (kind(X0) | ~generous(X0)) => (strong(susan) & curious(susan)) [input p13]
23. ~happy(lucy... | 0 |
Everyone who is either not brave or patient is not creative and vice versa. If someone is both not generous and not curious then someone is not tall or not kind. Everyone who is both calm and happy is not curious and vice versa. Everyone who is either quiet or happy is either not patient or not quiet and vice versa. Ev... | Alice is curious. | entailment | (![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((calm(X)&happy(X))<=>~curious(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~happy(X)=>~tall(X)))&
(((~quiet(lucy)|~tall(lucy)))<=>((~tall(fred)&~strong(fred))))&
(![X... | curious(alice) | [
"p0",
"p2",
"p3",
"p7",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6804165532768934070328509
% SZS output start Proof for 6804165532768934070328509
1. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> ~creative(X0)) [input p0]
3. ! [X0] : ((happy(X0) & calm(X0)) <=> ~curious(X0)) [input p2]
4. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> (~patient(X0) <~> ~quiet(X0)... | 0 |
If someone is not funny or humble then someone is both kind and not wise. Everyone who is humble is funny or humble and vice versa. Everyone who is old or not wise is quiet or not quiet and vice versa. If susan is either not tall or not brave then alice is either tall or not funny and vice versa. Everyone who is happy ... | Lucy is quiet. | contradiction | ((?[X]:((~funny(X)|humble(X))))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(humble(X)<=>(funny(X)|humble(X))))&
(![X]:((old(X)|~wise(X))<=>(quiet(X)|~quiet(X))))&
(((~tall(susan)<~>~brave(susan)))<=>((tall(alice)<~>~funny(alice))))&
(![X]:((happy(X)|strong(X))<=>(strong(X)&humble(X))))&
(![X]:((~patient(X)|tall(X))=>funny(X)... | quiet(lucy) | [
"p5",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 862389005544721452306720
% SZS output start Proof for 862389005544721452306720
6. ! [X0] : ((tall(X0) | ~patient(X0)) => funny(X0)) [input p5]
9. ? [X0] : (creative(X0) | quiet(X0)) => ? [X0] : (~brave(X0) & ~funny(X0)) [input p8]
12. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> ~happy(X0)) [inp... | 0 |
If someone is either not strong or brave then someone is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vi... | Lucy is brave. | entailment | ((?[X]:((~strong(X)<~>brave(X))))=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative... | brave(lucy) | [
"p5",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 77507160540701354545152
% SZS output start Proof for 77507160540701354545152
6. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p5]
7. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (curious(X0) & tall(X0))) [input p6]
16. ! [X0] : ((strong(X0) & patient(X0)) <=> strong(X... | 0 |
If alice is either not tall or calm then someone is either not quiet or wise and vice versa.
If fred is either quiet or not kind then someone is wise and vice versa.
Everyone who is both not kind and old is both tall and not quiet.
If susan is either patient or strong then someone is not old or not kind and vice versa.... | Alice is not tall. | neutral | (((~tall(alice)<~>calm(alice)))<=>(?[X]:((~quiet(X)<~>wise(X)))))&
(((quiet(fred)<~>~kind(fred)))<=>(?[X]:(wise(X))))&
(![X]:((~kind(X)&old(X))=>(tall(X)&~quiet(X))))&
(((patient(susan)<~>strong(susan)))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:(funny(X)<=>(kind(X)|~wise(X))))&
(((~curious(susan)<~>~tall(susan)))=>((~brav... | ~tall(alice) | [] | null | 0 |
Everyone who is either calm or creative is not happy or tall and vice versa.
Everyone who is either not creative or creative is humble and vice versa.
Everyone who is both not creative and curious is happy.
Everyone who is not generous or happy is both patient and not strong.
Everyone who is not funny or not old is tal... | John is not curious. | entailment | (![X]:((calm(X)<~>creative(X))<=>(~happy(X)|tall(X))))&
(![X]:((~creative(X)<~>creative(X))<=>humble(X)))&
(![X]:((~creative(X)&curious(X))=>happy(X)))&
(![X]:((~generous(X)|happy(X))=>(patient(X)&~strong(X))))&
(![X]:((~funny(X)|~old(X))=>(tall(X)|happy(X))))&
(((~tall(lucy)&~humble(lucy)))=>(?[X]:((~strong(X)<~>kind(... | ~curious(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 614947616469162025787275
% SZS output start Proof for 614947616469162025787275
11. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (~wise(X0) | curious(X0))) [input p10]
25. curious(john) [input hypothesis]
61. ! [X0] : (((patient(X0) & ~curious(X0)) | (wise(X0) & ~curious(X0))) & ((~wise(X0) ... | 0 |
Everyone who is not rich is both not generous and not brave and vice versa.
If alice is both not quiet and curious then someone is both creative and not generous and vice versa.
Everyone who is either humble or brave is either kind or strong.
If someone is not patient or not tall then someone is strong or curious and v... | Alice is brave. | neutral | (![X]:(~rich(X)<=>(~generous(X)&~brave(X))))&
(((~quiet(alice)&curious(alice)))<=>(?[X]:((creative(X)&~generous(X)))))&
(![X]:((humble(X)<~>brave(X))=>(kind(X)<~>strong(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((rich(X)<~>~curious(X))))<=>((~funny(lucy)<~>~brave(lucy))))&
((?[X... | brave(alice) | [] | null | 0 |
If someone is tall then someone is both wise and strong and vice versa.
Everyone who is both brave and generous is both not generous and strong and vice versa.
If someone is both wise and not generous then lucy is either patient or curious and vice versa.
Everyone who is either not calm or happy is both not generous an... | Paul is patient. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((wise(X)&strong(X)))))&
(![X]:((brave(X)&generous(X))<=>(~generous(X)&strong(X))))&
((?[X]:((wise(X)&~generous(X))))<=>((patient(lucy)<~>curious(lucy))))&
(![X]:((~calm(X)<~>happy(X))<=>(~generous(X)&strong(X))))&
(((curious(lucy)<~>creative(lucy)))<=>((~old(john)<~>patient(john))))&
(![X]:((... | patient(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7469571041550376204636304
% SZS output start Proof for 7469571041550376204636304
13. ! [X0] : ((~patient(X0) | ~quiet(X0)) => patient(X0)) [input p12]
25. ~patient(paul) [input hypothesis]
30. ! [X0] : (patient(X0) | (patient(X0) & quiet(X0))) [ennf transformation 13]
134. patient(X0) | p... | 0 |
If alice is either not quiet or kind then someone is kind or not humble.
Everyone who is either funny or not humble is rich or brave and vice versa.
If someone is not old then john is not humble or generous and vice versa.
If someone is calm or not strong then someone is curious.
Everyone who is not quiet or generous i... | Lucy is rich. | neutral | (((~quiet(alice)<~>kind(alice)))=>(?[X]:((kind(X)|~humble(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(rich(X)|brave(X))))&
((?[X]:(~old(X)))<=>((~humble(john)|generous(john))))&
((?[X]:((calm(X)|~strong(X))))=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)|generous(X))=>(~creative(X)<~>~wise(X))))&
(![X]:((~strong(X)|old(X))=>(... | rich(lucy) | [] | null | 0 |
If alice is not calm or rich then someone is both not tall and curious.
Everyone who is both calm and not wise is wise or not strong and vice versa.
If someone is not curious or not rich then mary is either calm or not curious.
If mary is funny or tall then mary is both generous and happy.
If susan is either not brave ... | Alice is creative. | contradiction | (((~calm(alice)|rich(alice)))=>(?[X]:((~tall(X)&curious(X)))))&
(![X]:((calm(X)&~wise(X))<=>(wise(X)|~strong(X))))&
((?[X]:((~curious(X)|~rich(X))))=>((calm(mary)<~>~curious(mary))))&
(((funny(mary)|tall(mary)))=>((generous(mary)&happy(mary))))&
(((~brave(susan)<~>~humble(susan)))<=>((strong(paul)&~humble(paul))))&
(((... | creative(alice) | [
"p0",
"p1",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1209174361592302316997690
% SZS output start Proof for 1209174361592302316997690
1. (rich(alice) | ~calm(alice)) => ? [X0] : (curious(X0) & ~tall(X0)) [input p0]
2. ! [X0] : ((~wise(X0) & calm(X0)) <=> (~strong(X0) | wise(X0))) [input p1]
8. ! [X0] : ((brave(X0) | ~wise(X0)) <=> (happy(X0... | 0 |
Everyone who is either kind or creative is curious or not humble. Everyone who is both calm and brave is curious or not happy. Everyone who is not funny or wise is curious or not kind and vice versa. Everyone who is strong is both patient and not rich. If someone is both tall and patient then someone is not strong. Eve... | Susan is quiet. | entailment | (![X]:((kind(X)<~>creative(X))=>(curious(X)|~humble(X))))&
(![X]:((calm(X)&brave(X))=>(curious(X)|~happy(X))))&
(![X]:((~funny(X)|wise(X))<=>(curious(X)|~kind(X))))&
(![X]:(strong(X)=>(patient(X)&~rich(X))))&
((?[X]:((tall(X)&patient(X))))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|~humble(X))=>(~patient(X)&tall(X))))&
... | quiet(susan) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4251984479642754963414278
% SZS output start Proof for 4251984479642754963414278
3. ! [X0] : ((wise(X0) | ~funny(X0)) <=> (~kind(X0) | curious(X0))) [input p2]
4. ! [X0] : (strong(X0) => (~rich(X0) & patient(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | patient(X0)) => (tall(X0) & ~patient... | 0 |
If susan is either not quiet or funny then paul is wise and vice versa.
Everyone who is either not quiet or not creative is both rich and happy.
Everyone who is both not old and generous is brave.
Everyone who is either not generous or not happy is either not quiet or kind.
Everyone who is not generous is curious and v... | Lucy is patient. | entailment | (((~quiet(susan)<~>funny(susan)))<=>(wise(paul)))&
(![X]:((~quiet(X)<~>~creative(X))=>(rich(X)&happy(X))))&
(![X]:((~old(X)&generous(X))=>brave(X)))&
(![X]:((~generous(X)<~>~happy(X))=>(~quiet(X)<~>kind(X))))&
(![X]:(~generous(X)<=>curious(X)))&
(((~calm(susan)&old(susan)))=>((tall(alice)|generous(alice))))&
((?[X]:((k... | patient(lucy) | [
"p7",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1377508245135297814784608
% SZS output start Proof for 1377508245135297814784608
8. ? [X0] : ~strong(X0) => ~generous(alice) [input p7]
12. ! [X0] : (~tall(X0) <=> (~patient(X0) | ~happy(X0))) [input p11]
13. (~quiet(susan) | quiet(susan)) => (generous(alice) & ~creative(alice)) [input p1... | 0 |
If someone is not humble then lucy is both not happy and tall and vice versa.
Everyone who is not calm is patient and vice versa.
Everyone who is either tall or not happy is not tall or not patient and vice versa.
If john is not wise then someone is not patient.
Everyone who is not creative is either not calm or not wi... | Alice is not generous. | neutral | ((?[X]:(~humble(X)))<=>((~happy(lucy)&tall(lucy))))&
(![X]:(~calm(X)<=>patient(X)))&
(![X]:((tall(X)<~>~happy(X))<=>(~tall(X)|~patient(X))))&
((~wise(john))=>(?[X]:(~patient(X))))&
(![X]:(~creative(X)=>(~calm(X)<~>~wise(X))))&
((curious(lucy))<=>(~patient(alice)))&
(![X]:((~patient(X)&~tall(X))<=>(generous(X)|~curious(... | ~generous(alice) | [] | null | 0 |
If alice is funny then someone is not kind and vice versa. Everyone who is not kind is both old and not calm and vice versa. Everyone who is not strong is either not funny or happy. Everyone who is both creative and happy is both kind and brave and vice versa. If someone is either not quiet or old then someone is both ... | Susan is humble. | contradiction | ((funny(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~kind(X)<=>(old(X)&~calm(X))))&
(![X]:(~strong(X)=>(~funny(X)<~>happy(X))))&
(![X]:((creative(X)&happy(X))<=>(kind(X)&brave(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>(?[X]:((~old(X)&curious(X)))))&
(((tall(lucy)&~calm(lucy)))=>(?[X]:(~brave(X))))&
(((~old(susan)&patient(susan))... | humble(susan) | [
"p8",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 727182480130472532814106
% SZS output start Proof for 727182480130472532814106
9. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (wise(X0) & ~strong(X0))) [input p8]
18. ~humble(susan) | ~quiet(susan) [input p17]
22. ~wise(susan) & ~creative(susan) [input p21]
23. humble(susan) [input hypothesis... | 0 |
If alice is not generous then fred is both generous and not curious and vice versa.
If someone is generous or old then fred is strong or tall.
Everyone who is wise or not wise is both not brave and old.
Everyone who is either kind or not tall is either not curious or not strong.
Everyone who is either not wise or not g... | John is brave. | contradiction | ((~generous(alice))<=>((generous(fred)&~curious(fred))))&
((?[X]:((generous(X)|old(X))))=>((strong(fred)|tall(fred))))&
(![X]:((wise(X)|~wise(X))=>(~brave(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))=>(~curious(X)<~>~strong(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:(tall(X)))<=>((~calm(... | brave(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5260186439644208546694144
% SZS output start Proof for 5260186439644208546694144
3. ! [X0] : ((~wise(X0) | wise(X0)) => (old(X0) & ~brave(X0))) [input p2]
23. brave(john) [input hypothesis]
26. ! [X0] : ((old(X0) & ~brave(X0)) | (wise(X0) & ~wise(X0))) [ennf transformation 3]
75. ~brave(X... | 0 |
If someone is rich or tall then someone is both rich and quiet and vice versa.
Everyone who is not patient or not old is either not old or not rich.
Everyone who is tall is both not generous and generous and vice versa.
Everyone who is either curious or calm is either not old or not curious and vice versa.
If someone i... | Mary is wise. | entailment | ((?[X]:((rich(X)|tall(X))))<=>(?[X]:((rich(X)&quiet(X)))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)<~>~rich(X))))&
(![X]:(tall(X)<=>(~generous(X)&generous(X))))&
(![X]:((curious(X)<~>calm(X))<=>(~old(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:((funny(X)<~>~generous(X))<=>~ta... | wise(mary) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7773017433043639702655541
% SZS output start Proof for 7773017433043639702655541
10. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> wise(X0)) [input p9]
21. ~quiet(mary) [input p20]
24. ~wise(mary) [input hypothesis]
57. ! [X0] : (((~quiet(X0) | ~creative(X0)) | ~wise(X0)) & (wise(X0) | (quie... | 0 |
If susan is either rich or not curious then fred is calm and vice versa.
Everyone who is both brave and generous is either not quiet or kind.
If someone is both not humble and happy then paul is either old or funny and vice versa.
If john is both quiet and funny then john is not curious and vice versa.
If fred is not c... | Fred is old. | neutral | (((rich(susan)<~>~curious(susan)))<=>(calm(fred)))&
(![X]:((brave(X)&generous(X))=>(~quiet(X)<~>kind(X))))&
((?[X]:((~humble(X)&happy(X))))<=>((old(paul)<~>funny(paul))))&
(((quiet(john)&funny(john)))<=>(~curious(john)))&
(((~curious(fred)|old(fred)))<=>(?[X]:(calm(X))))&
(![X]:((happy(X)|brave(X))<=>(~wise(X)<~>creati... | old(fred) | [] | null | 0 |
Everyone who is kind or not brave is either funny or curious and vice versa. If paul is both not strong and not rich then fred is either curious or tall. Everyone who is brave is both happy and not quiet and vice versa. If mary is not calm or not creative then someone is not tall and vice versa. If someone is not quiet... | Alice is humble. | contradiction | (![X]:((kind(X)|~brave(X))<=>(funny(X)<~>curious(X))))&
(((~strong(paul)&~rich(paul)))=>((curious(fred)<~>tall(fred))))&
(![X]:(brave(X)<=>(happy(X)&~quiet(X))))&
(((~calm(mary)|~creative(mary)))<=>(?[X]:(~tall(X))))&
((?[X]:(~quiet(X)))=>(~wise(john)))&
((?[X]:((~funny(X)&~strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~... | humble(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3378657867739706051318924
% SZS output start Proof for 3378657867739706051318924
13. ! [X0] : (~calm(X0) <=> (calm(X0) & humble(X0))) [input p12]
25. humble(alice) [input hypothesis]
62. ! [X0] : ((~calm(X0) | (~calm(X0) | ~humble(X0))) & ((calm(X0) & humble(X0)) | calm(X0))) [nnf transfo... | 0 |
If someone is both quiet and generous then alice is either generous or patient and vice versa.
If john is not old or not creative then someone is both not tall and not brave.
If mary is either quiet or not brave then someone is either not happy or strong and vice versa.
Everyone who is happy is either not brave or happ... | Lucy is not happy. | neutral | ((?[X]:((quiet(X)&generous(X))))<=>((generous(alice)<~>patient(alice))))&
(((~old(john)|~creative(john)))=>(?[X]:((~tall(X)&~brave(X)))))&
(((quiet(mary)<~>~brave(mary)))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:(happy(X)<=>(~brave(X)<~>happy(X))))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X))))&
(![X]:((funny(X)&curious(X... | ~happy(lucy) | [] | null | 0 |
If lucy is creative or not curious then susan is both not patient and not calm.
Everyone who is either brave or not happy is both not patient and not funny and vice versa.
Everyone who is patient is both not humble and not calm.
If someone is humble then lucy is not rich or not generous.
Everyone who is both brave and ... | John is not creative. | entailment | (((creative(lucy)|~curious(lucy)))=>((~patient(susan)&~calm(susan))))&
(![X]:((brave(X)<~>~happy(X))<=>(~patient(X)&~funny(X))))&
(![X]:(patient(X)=>(~humble(X)&~calm(X))))&
((?[X]:(humble(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((brave(X)&wise(X))<=>(kind(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>kind(X))))=>((... | ~creative(john) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2189244836447218808110304
% SZS output start Proof for 2189244836447218808110304
3. ! [X0] : (patient(X0) => (~calm(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (kind(X0) <~> ~curious(X0))) [input p4]
6. ? [X0] : (curious(X0) <~> kind(X0)) => (~creative(john) & c... | 0 |
If someone is patient then someone is both not brave and curious.
If someone is either patient or tall then someone is brave or creative.
Everyone who is both tall and creative is not humble.
Everyone who is old or not wise is either not funny or patient.
If someone is creative or not curious then someone is both old a... | Susan is not curious. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((~brave(X)&curious(X)))))&
((?[X]:((patient(X)<~>tall(X))))=>(?[X]:((brave(X)|creative(X)))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((old(X)&wise(X)))))&
((rich(paul))=>((~wise(john)&old... | ~curious(susan) | [
"p2",
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5650223266747685394363944
% SZS output start Proof for 5650223266747685394363944
3. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p2]
5. ? [X0] : (~curious(X0) | creative(X0)) <=> ? [X0] : (wise(X0) & old(X0)) [input p4]
9. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [i... | 0 |
Everyone who is both calm and not humble is either rich or not kind and vice versa.
Everyone who is generous is not calm or wise and vice versa.
If paul is patient then someone is both not kind and not quiet.
Everyone who is brave is both rich and creative.
If mary is either not happy or not generous then someone is no... | Alice is not wise. | entailment | (![X]:((calm(X)&~humble(X))<=>(rich(X)<~>~kind(X))))&
(![X]:(generous(X)<=>(~calm(X)|wise(X))))&
((patient(paul))=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:(brave(X)=>(rich(X)&creative(X))))&
(((~happy(mary)<~>~generous(mary)))=>(?[X]:(~patient(X))))&
(![X]:(~funny(X)=>strong(X)))&
(![X]:((~humble(X)&~strong(X))<=>~calm(X... | ~wise(alice) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2654835930864047351245785
% SZS output start Proof for 2654835930864047351245785
2. ! [X0] : (generous(X0) <=> (wise(X0) | ~calm(X0))) [input p1]
20. ~generous(alice) & ~rich(alice) [input p19]
25. wise(alice) [input hypothesis]
42. ! [X0] : ((generous(X0) | (~wise(X0) & calm(X0))) & ((wi... | 0 |
If lucy is curious then susan is either humble or not creative and vice versa. Everyone who is tall or not wise is strong and vice versa. If paul is either not curious or not humble then someone is both humble and happy and vice versa. Everyone who is either creative or not kind is not creative. If someone is both not ... | Alice is generous. | contradiction | ((curious(lucy))<=>((humble(susan)<~>~creative(susan))))&
(![X]:((tall(X)|~wise(X))<=>strong(X)))&
(((~curious(paul)<~>~humble(paul)))<=>(?[X]:((humble(X)&happy(X)))))&
(![X]:((creative(X)<~>~kind(X))=>~creative(X)))&
((?[X]:((~brave(X)&generous(X))))<=>((~patient(lucy)|~rich(lucy))))&
(((calm(john)|wise(john)))=>(?[X]... | generous(alice) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8846019231295343067164927
% SZS output start Proof for 8846019231295343067164927
10. ! [X0] : (generous(X0) <=> ~rich(X0)) [input p9]
24. rich(alice) [input p23]
25. generous(alice) [input hypothesis]
54. ! [X0] : ((generous(X0) | rich(X0)) & (~rich(X0) | ~generous(X0))) [nnf transformati... | 0 |
Everyone who is rich or patient is both not tall and curious.
If someone is both happy and patient then susan is creative and vice versa.
Everyone who is not wise is either kind or funny and vice versa.
If someone is wise then someone is generous or not wise and vice versa.
Everyone who is both kind and happy is not fu... | Susan is not generous. | contradiction | (![X]:((rich(X)|patient(X))=>(~tall(X)&curious(X))))&
((?[X]:((happy(X)&patient(X))))<=>(creative(susan)))&
(![X]:(~wise(X)<=>(kind(X)<~>funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((kind(X)&happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>(~funny(X)<~>wise(X))))&
(![X]:((brave(X)&~patient(X))... | ~generous(susan) | [
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2398224463522390839572630
% SZS output start Proof for 2398224463522390839572630
6. ! [X0] : (generous(X0) <=> (~funny(X0) <~> wise(X0))) [input p5]
10. ! [X0] : (funny(X0) <=> (generous(X0) & ~old(X0))) [input p9]
11. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p10]
23. ~g... | 0 |
If someone is either rich or curious then someone is both wise and old and vice versa. If fred is both not kind and not humble then someone is not humble or not curious. Everyone who is not funny is both patient and humble and vice versa. Everyone who is not calm or not strong is either not creative or not curious and ... | Fred is not funny. | contradiction | ((?[X]:((rich(X)<~>curious(X))))<=>(?[X]:((wise(X)&old(X)))))&
(((~kind(fred)&~humble(fred)))=>(?[X]:((~humble(X)|~curious(X)))))&
(![X]:(~funny(X)<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|~strong(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:(~funny(X)=>(~calm(X)&~humble(X))))&
(((patient(john)|wise(john)))<=>(?[X]:... | ~funny(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6692942078204043067549722
% SZS output start Proof for 6692942078204043067549722
3. ! [X0] : (~funny(X0) <=> (humble(X0) & patient(X0))) [input p2]
5. ! [X0] : (~funny(X0) => (~humble(X0) & ~calm(X0))) [input p4]
24. ~funny(fred) [input hypothesis]
28. ! [X0] : ((~humble(X0) & ~calm(X0)) ... | 0 |
Everyone who is both not curious and funny is not generous or generous and vice versa. If someone is both not strong and not old then susan is not wise. Everyone who is creative or old is not creative and vice versa. Everyone who is old is not wise. Everyone who is not generous or creative is rich or creative and vice ... | Fred is generous. | contradiction | (![X]:((~curious(X)&funny(X))<=>(~generous(X)|generous(X))))&
((?[X]:((~strong(X)&~old(X))))=>(~wise(susan)))&
(![X]:((creative(X)|old(X))<=>~creative(X)))&
(![X]:(old(X)=>~wise(X)))&
(![X]:((~generous(X)|creative(X))<=>(rich(X)|creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~curious(X)|~old(X))))&
(![X]:((~wise(X)<~>br... | generous(fred) | [
"p0",
"p2",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5256424172625487792353961
% SZS output start Proof for 5256424172625487792353961
1. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (generous(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((old(X0) | creative(X0)) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (crea... | 0 |
Everyone who is both not curious and not wise is not happy. Everyone who is generous is not wise and vice versa. Everyone who is quiet is patient and vice versa. Everyone who is old is either not humble or patient and vice versa. Everyone who is curious or calm is brave. If mary is either not calm or not rich then some... | Fred is not calm. | neutral | (![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(quiet(X)<=>patient(X)))&
(![X]:(old(X)<=>(~humble(X)<~>patient(X))))&
(![X]:((curious(X)|calm(X))=>brave(X)))&
(((~calm(mary)<~>~rich(mary)))=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~happy(X)<~>~generous(X))<=>(happy(X)<~>strong(X))))&... | ~calm(fred) | [] | null | 0 |
If paul is both curious and not funny then someone is either not calm or quiet. Everyone who is either not patient or not rich is either kind or wise. If someone is either wise or curious then susan is either quiet or wise and vice versa. If someone is not strong then someone is either generous or not tall and vice ver... | Susan is not kind. | neutral | (((curious(paul)&~funny(paul)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))=>(kind(X)<~>wise(X))))&
((?[X]:((wise(X)<~>curious(X))))<=>((quiet(susan)<~>wise(susan))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)<~>~tall(X)))))&
(((happy(mary)|~calm(mary)))=>((rich(mary)<~>~funny(mary))))&
(![X]:((~... | ~kind(susan) | [] | null | 0 |
If someone is not humble or strong then someone is patient.
If someone is not creative then lucy is not quiet and vice versa.
If someone is strong then mary is not curious or not humble and vice versa.
If alice is either not tall or old then alice is humble and vice versa.
If someone is either funny or calm then fred i... | Fred is not curious. | neutral | ((?[X]:((~humble(X)|strong(X))))=>(?[X]:(patient(X))))&
((?[X]:(~creative(X)))<=>(~quiet(lucy)))&
((?[X]:(strong(X)))<=>((~curious(mary)|~humble(mary))))&
(((~tall(alice)<~>old(alice)))<=>(humble(alice)))&
((?[X]:((funny(X)<~>calm(X))))<=>((~patient(fred)|~strong(fred))))&
(((~quiet(alice)|~generous(alice)))=>((~happy(... | ~curious(fred) | [] | null | 0 |
If fred is creative or patient then lucy is either not creative or tall and vice versa. Everyone who is not strong is quiet or not wise and vice versa. Everyone who is either kind or not creative is not patient or kind and vice versa. If someone is brave then paul is not humble. Everyone who is both curious and wise is... | Alice is not creative. | contradiction | (((creative(fred)|patient(fred)))<=>((~creative(lucy)<~>tall(lucy))))&
(![X]:(~strong(X)<=>(quiet(X)|~wise(X))))&
(![X]:((kind(X)<~>~creative(X))<=>(~patient(X)|kind(X))))&
((?[X]:(brave(X)))=>(~humble(paul)))&
(![X]:((curious(X)&wise(X))=>curious(X)))&
((?[X]:((~funny(X)<~>~brave(X))))=>((quiet(lucy)|calm(lucy))))&
(!... | ~creative(alice) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2740611495527391621176069
% SZS output start Proof for 2740611495527391621176069
3. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (kind(X0) | ~patient(X0))) [input p2]
19. quiet(alice) & patient(alice) [input p18]
24. ~creative(alice) [input hypothesis]
42. ! [X0] : ((((creative(X0) | ~kind(... | 0 |
Everyone who is both not old and not patient is either generous or not tall.
If someone is not funny or not creative then lucy is both not funny and calm.
Everyone who is both patient and kind is either tall or not strong and vice versa.
If susan is either wise or brave then paul is both humble and patient.
If someone ... | Mary is generous. | contradiction | (![X]:((~old(X)&~patient(X))=>(generous(X)<~>~tall(X))))&
((?[X]:((~funny(X)|~creative(X))))=>((~funny(lucy)&calm(lucy))))&
(![X]:((patient(X)&kind(X))<=>(tall(X)<~>~strong(X))))&
(((wise(susan)<~>brave(susan)))=>((humble(paul)&patient(paul))))&
((?[X]:((~patient(X)|kind(X))))<=>(?[X]:((~patient(X)|~strong(X)))))&
((qu... | generous(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1546327984628071607994752
% SZS output start Proof for 1546327984628071607994752
13. ! [X0] : ((rich(X0) & generous(X0)) <=> ~rich(X0)) [input p12]
24. generous(mary) [input hypothesis]
67. ! [X0] : (((rich(X0) & generous(X0)) | rich(X0)) & (~rich(X0) | (~rich(X0) | ~generous(X0)))) [nnf ... | 0 |
Everyone who is not calm is either humble or not quiet and vice versa.
If lucy is either not creative or not calm then mary is tall or not old.
Everyone who is not quiet is not patient or brave.
Everyone who is not kind is either calm or creative.
If someone is not tall or curious then fred is patient or strong and vic... | Mary is not rich. | contradiction | (![X]:(~calm(X)<=>(humble(X)<~>~quiet(X))))&
(((~creative(lucy)<~>~calm(lucy)))=>((tall(mary)|~old(mary))))&
(![X]:(~quiet(X)=>(~patient(X)|brave(X))))&
(![X]:(~kind(X)=>(calm(X)<~>creative(X))))&
((?[X]:((~tall(X)|curious(X))))<=>((patient(fred)|strong(fred))))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~quiet(X)|humble(X))))... | ~rich(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 104951886713848215351936
% SZS output start Proof for 104951886713848215351936
17. ~old(mary) & rich(mary) [input p16]
25. ~rich(mary) [input hypothesis]
136. rich(mary) [cnf transformation 17]
147. ~rich(mary) [cnf transformation 25]
315. $false [subsumption resolution 147,136]
% SZS out... | 0 |
Everyone who is both calm and not funny is humble or not generous and vice versa. Everyone who is either funny or happy is not patient. If susan is not happy then someone is not brave or wise. If someone is both humble and creative then lucy is old or brave and vice versa. If someone is either brave or not humble then ... | John is generous. | entailment | (![X]:((calm(X)&~funny(X))<=>(humble(X)|~generous(X))))&
(![X]:((funny(X)<~>happy(X))=>~patient(X)))&
((~happy(susan))=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((humble(X)&creative(X))))<=>((old(lucy)|brave(lucy))))&
((?[X]:((brave(X)<~>~humble(X))))<=>((tall(lucy)<~>creative(lucy))))&
((?[X]:(~old(X)))<=>(~humble(fred))... | generous(john) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5060243875313751743936381
% SZS output start Proof for 5060243875313751743936381
1. ! [X0] : ((~funny(X0) & calm(X0)) <=> (~generous(X0) | humble(X0))) [input p0]
15. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (wise(X0) | ~funny(X0))) [input p14]
22. ~generous(john) [input hypothesis]
30. ! [... | 0 |
Everyone who is not rich or not quiet is both not curious and not generous and vice versa.
Everyone who is not tall or humble is not calm or not brave.
Everyone who is strong or brave is both calm and tall and vice versa.
Everyone who is either creative or funny is either curious or not wise and vice versa.
If someone ... | Mary is not humble. | entailment | (![X]:((~rich(X)|~quiet(X))<=>(~curious(X)&~generous(X))))&
(![X]:((~tall(X)|humble(X))=>(~calm(X)|~brave(X))))&
(![X]:((strong(X)|brave(X))<=>(calm(X)&tall(X))))&
(![X]:((creative(X)<~>funny(X))<=>(curious(X)<~>~wise(X))))&
((?[X]:(~tall(X)))=>(humble(alice)))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[X]:((kind(X)<~>~stro... | ~humble(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8750314925099488371263986
% SZS output start Proof for 8750314925099488371263986
13. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~humble(X0)) [input p12]
24. humble(mary) [input hypothesis]
62. ! [X0] : ((((~curious(X0) | curious(X0)) & (curious(X0) | ~curious(X0))) | humble(X0)) & (~hum... | 0 |
Everyone who is either old or not brave is quiet and vice versa. If john is both curious and not tall then someone is both not rich and not wise. Everyone who is wise is not old. Everyone who is either kind or not quiet is either calm or funny and vice versa. Everyone who is not strong is both quiet and calm and vice v... | Alice is kind. | contradiction | (![X]:((old(X)<~>~brave(X))<=>quiet(X)))&
(((curious(john)&~tall(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(calm(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(quiet(X)&calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~strong(X)<~>~happy(X))))&
(((~funny(lucy)<~>patient(lucy)... | kind(alice) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8576524991683801412373424
% SZS output start Proof for 8576524991683801412373424
4. ! [X0] : ((kind(X0) <~> ~quiet(X0)) <=> (calm(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (~strong(X0) <=> (calm(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~strong(X0) <~> ~ha... | 0 |
If someone is curious then alice is not kind or patient and vice versa.
If mary is both not humble and not patient then mary is either not wise or brave and vice versa.
Everyone who is both humble and old is not tall or not humble.
If someone is not creative then someone is either tall or rich and vice versa.
If susan ... | John is humble. | contradiction | ((?[X]:(curious(X)))<=>((~kind(alice)|patient(alice))))&
(((~humble(mary)&~patient(mary)))<=>((~wise(mary)<~>brave(mary))))&
(![X]:((humble(X)&old(X))=>(~tall(X)|~humble(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((tall(X)<~>rich(X)))))&
((~old(susan))=>(?[X]:((~brave(X)&generous(X)))))&
((?[X]:((rich(X)&quiet(X))))<=>(?[X]... | humble(john) | [
"p2",
"p7",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2726993706504768409506929
% SZS output start Proof for 2726993706504768409506929
3. ! [X0] : ((old(X0) & humble(X0)) => (~humble(X0) | ~tall(X0))) [input p2]
8. ? [X0] : (funny(X0) | rich(X0)) <=> tall(john) [input p7]
10. ! [X0] : ((~kind(X0) | humble(X0)) <=> (humble(X0) <~> ~old(X0))) ... | 0 |
Everyone who is not brave or tall is not old or not calm and vice versa.
Everyone who is not tall or calm is brave or generous.
If john is either curious or humble then lucy is generous and vice versa.
Everyone who is happy or kind is both not rich and not quiet and vice versa.
If someone is generous then someone is no... | Lucy is kind. | entailment | (![X]:((~brave(X)|tall(X))<=>(~old(X)|~calm(X))))&
(![X]:((~tall(X)|calm(X))=>(brave(X)|generous(X))))&
(((curious(john)<~>humble(john)))<=>(generous(lucy)))&
(![X]:((happy(X)|kind(X))<=>(~rich(X)&~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(~patient(X)<=>(kind(X)|patient(X))))&
(![X]... | kind(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 127124951302329951438796
% SZS output start Proof for 127124951302329951438796
6. ! [X0] : (~patient(X0) <=> (patient(X0) | kind(X0))) [input p5]
23. ~kind(lucy) [input hypothesis]
47. ! [X0] : ((~patient(X0) | (~patient(X0) & ~kind(X0))) & ((patient(X0) | kind(X0)) | patient(X0))) [nnf t... | 0 |
If susan is either not wise or rich then lucy is kind. If john is not wise then someone is both curious and strong. Everyone who is rich is not rich. If paul is not humble or strong then someone is not quiet. Everyone who is happy or not strong is either not curious or generous. If paul is not quiet or kind then john i... | Susan is not creative. | entailment | (((~wise(susan)<~>rich(susan)))=>(kind(lucy)))&
((~wise(john))=>(?[X]:((curious(X)&strong(X)))))&
(![X]:(rich(X)=>~rich(X)))&
(((~humble(paul)|strong(paul)))=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)|~strong(X))=>(~curious(X)<~>generous(X))))&
(((~quiet(paul)|kind(paul)))=>((kind(john)&~wise(john))))&
(((~funny(mary)&pati... | ~creative(susan) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4931130808498759592604611
% SZS output start Proof for 4931130808498759592604611
3. ! [X0] : (rich(X0) => ~rich(X0)) [input p2]
9. ? [X0] : (rich(X0) <~> creative(X0)) <=> ? [X0] : (rich(X0) & ~brave(X0)) [input p8]
24. creative(susan) [input hypothesis]
25. ? [X0] : (rich(X0) <~> creativ... | 0 |
If paul is not quiet or not rich then alice is rich or not calm. Everyone who is either not creative or calm is not curious or kind and vice versa. Everyone who is not calm or not quiet is not strong or quiet and vice versa. Everyone who is either not curious or humble is patient or rich. Everyone who is either not old... | Paul is not humble. | contradiction | (((~quiet(paul)|~rich(paul)))=>((rich(alice)|~calm(alice))))&
(![X]:((~creative(X)<~>calm(X))<=>(~curious(X)|kind(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~curious(X)<~>humble(X))=>(patient(X)|rich(X))))&
(![X]:((~old(X)<~>generous(X))<=>~calm(X)))&
(![X]:((brave(X)|~quiet(X))<=>(humble(X)|... | ~humble(paul) | [
"p2",
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6302937149762995803534529
% SZS output start Proof for 6302937149762995803534529
3. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (quiet(X0) | ~strong(X0))) [input p2]
6. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (~calm(X0) | humble(X0))) [input p5]
11. ! [X0] : ((brave(X0) <~> ~curious(X0)) => (hu... | 0 |
Everyone who is both calm and not tall is both not curious and old. If someone is not kind or quiet then someone is not patient. Everyone who is either not funny or not creative is both not happy and tall. Everyone who is not kind is not old or humble. Everyone who is not kind or generous is both kind and old. If fred ... | John is happy. | contradiction | (![X]:((calm(X)&~tall(X))=>(~curious(X)&old(X))))&
((?[X]:((~kind(X)|quiet(X))))=>(?[X]:(~patient(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(~happy(X)&tall(X))))&
(![X]:(~kind(X)=>(~old(X)|humble(X))))&
(![X]:((~kind(X)|generous(X))=>(kind(X)&old(X))))&
(((~wise(fred)&~curious(fred)))=>((kind(susan)&~curious(susan))))&... | happy(john) | [
"p2",
"p4",
"p6",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8063371103259205140229663
% SZS output start Proof for 8063371103259205140229663
3. ! [X0] : ((~funny(X0) <~> ~creative(X0)) => (tall(X0) & ~happy(X0))) [input p2]
5. ! [X0] : ((generous(X0) | ~kind(X0)) => (old(X0) & kind(X0))) [input p4]
7. ! [X0] : ((happy(X0) <~> ~rich(X0)) => ~genero... | 0 |
If someone is both not quiet and not patient then paul is rich and vice versa. Everyone who is either wise or not strong is not rich or calm. Everyone who is humble is both happy and brave. Everyone who is not calm is not quiet or not funny. If someone is either quiet or generous then alice is not brave or not rich. If... | Lucy is brave. | entailment | ((?[X]:((~quiet(X)&~patient(X))))<=>(rich(paul)))&
(![X]:((wise(X)<~>~strong(X))=>(~rich(X)|calm(X))))&
(![X]:(humble(X)=>(happy(X)&brave(X))))&
(![X]:(~calm(X)=>(~quiet(X)|~funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>((~brave(alice)|~rich(alice))))&
((~humble(john))=>((~humble(mary)<~>humble(mary))))&
((?[X]:((ri... | brave(lucy) | [
"p1",
"p7",
"p9",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3447622202944706457292740
% SZS output start Proof for 3447622202944706457292740
2. ! [X0] : ((wise(X0) <~> ~strong(X0)) => (calm(X0) | ~rich(X0))) [input p1]
8. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (~brave(X0) & humble(X0))) [input p7]
10. ! [X0] : ((~creative(X0) <~> strong(X0))... | 0 |
Everyone who is not old or kind is wise and vice versa.
If paul is curious then john is both funny and not strong and vice versa.
Everyone who is kind or not calm is both not happy and wise and vice versa.
Everyone who is both funny and creative is rich.
If someone is either not calm or happy then someone is not creati... | John is not wise. | contradiction | (![X]:((~old(X)|kind(X))<=>wise(X)))&
((curious(paul))<=>((funny(john)&~strong(john))))&
(![X]:((kind(X)|~calm(X))<=>(~happy(X)&wise(X))))&
(![X]:((funny(X)&creative(X))=>rich(X)))&
((?[X]:((~calm(X)<~>happy(X))))<=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((~old(X)|~tall(X))<=>(~rich(X)&~tall(X))))&
((old(paul))=>(?[X]... | ~wise(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5438718155058132669562598
% SZS output start Proof for 5438718155058132669562598
20. wise(john) & generous(john) [input p19]
24. ~wise(john) [input hypothesis]
123. wise(john) [cnf transformation 20]
129. ~wise(john) [cnf transformation 24]
227. $false [subsumption resolution 129,123]
% S... | 0 |
If alice is both not kind and brave then someone is not calm.
Everyone who is either generous or not curious is rich or not quiet.
If fred is happy or not funny then someone is both calm and not quiet.
Everyone who is not humble or old is either not calm or not happy.
If someone is both not quiet and not creative then ... | Paul is not happy. | entailment | (((~kind(alice)&brave(alice)))=>(?[X]:(~calm(X))))&
(![X]:((generous(X)<~>~curious(X))=>(rich(X)|~quiet(X))))&
(((happy(fred)|~funny(fred)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~humble(X)|old(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:((~quiet(X)&~creative(X))))<=>(?[X]:((~strong(X)<~>~kind(X)))))&
(![X]:((happy(X)|gene... | ~happy(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1983401642245550839995903
% SZS output start Proof for 1983401642245550839995903
6. ! [X0] : ((generous(X0) | happy(X0)) <=> ~happy(X0)) [input p5]
24. happy(paul) [input hypothesis]
52. ! [X0] : (((generous(X0) | happy(X0)) | happy(X0)) & (~happy(X0) | (~generous(X0) & ~happy(X0)))) [nnf... | 0 |
Everyone who is either strong or humble is not tall and vice versa.
Everyone who is humble or not brave is both happy and patient and vice versa.
If paul is either wise or creative then fred is not tall or not brave.
If someone is both brave and not happy then someone is old.
Everyone who is not wise is both humble and... | Fred is patient. | entailment | (![X]:((strong(X)<~>humble(X))<=>~tall(X)))&
(![X]:((humble(X)|~brave(X))<=>(happy(X)&patient(X))))&
(((wise(paul)<~>creative(paul)))=>((~tall(fred)|~brave(fred))))&
((?[X]:((brave(X)&~happy(X))))=>(?[X]:(old(X))))&
(![X]:(~wise(X)=>(humble(X)&creative(X))))&
(((~creative(mary)&calm(mary)))=>(?[X]:((~funny(X)|~creative... | patient(fred) | [
"p1",
"p2",
"p4",
"p13",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6872087954068920887526996
% SZS output start Proof for 6872087954068920887526996
2. ! [X0] : ((~brave(X0) | humble(X0)) <=> (patient(X0) & happy(X0))) [input p1]
3. (wise(paul) <~> creative(paul)) => (~brave(fred) | ~tall(fred)) [input p2]
5. ! [X0] : (~wise(X0) => (creative(X0) & humble(... | 0 |
Everyone who is not patient is generous or not generous and vice versa. Everyone who is either generous or wise is both happy and not tall. If alice is not brave or happy then mary is either not patient or not kind and vice versa. Everyone who is not patient is not wise. If someone is not brave or brave then john is bo... | Susan is patient. | contradiction | (![X]:(~patient(X)<=>(generous(X)|~generous(X))))&
(![X]:((generous(X)<~>wise(X))=>(happy(X)&~tall(X))))&
(((~brave(alice)|happy(alice)))<=>((~patient(mary)<~>~kind(mary))))&
(![X]:(~patient(X)=>~wise(X)))&
((?[X]:((~brave(X)|brave(X))))=>((creative(john)&quiet(john))))&
(![X]:(patient(X)<=>(funny(X)<~>~kind(X))))&
(![... | patient(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7556624674912873356676819
% SZS output start Proof for 7556624674912873356676819
1. ! [X0] : (~patient(X0) <=> (~generous(X0) | generous(X0))) [input p0]
24. patient(susan) [input hypothesis]
35. ! [X0] : ((~patient(X0) | (generous(X0) & ~generous(X0))) & ((~generous(X0) | generous(X0)) |... | 0 |
If susan is patient then john is both not curious and kind and vice versa.
Everyone who is not calm is not wise or not old.
If someone is both calm and old then susan is either calm or not funny.
If someone is both strong and not rich then alice is either not kind or rich and vice versa.
If john is both rich and humble... | John is generous. | neutral | ((patient(susan))<=>((~curious(john)&kind(john))))&
(![X]:(~calm(X)=>(~wise(X)|~old(X))))&
((?[X]:((calm(X)&old(X))))=>((calm(susan)<~>~funny(susan))))&
((?[X]:((strong(X)&~rich(X))))<=>((~kind(alice)<~>rich(alice))))&
(((rich(john)&humble(john)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((rich(X)|humble(X))<=>(~curious(... | generous(john) | [] | null | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Lucy is funny. | entailment | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | funny(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5259872288252255838848306
% SZS output start Proof for 5259872288252255838848306
2. ? [X0] : (quiet(X0) | old(X0)) => (patient(lucy) <~> ~creative(lucy)) [input p1]
3. ! [X0] : ((patient(X0) | old(X0)) <=> old(X0)) [input p2]
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0)))... | 0 |
If susan is both not generous and strong then someone is both not brave and not rich. If someone is either not funny or not patient then someone is both wise and not old and vice versa. Everyone who is either not wise or kind is both happy and humble and vice versa. Everyone who is either not brave or not humble is bra... | Mary is not funny. | neutral | (((~generous(susan)&strong(susan)))=>(?[X]:((~brave(X)&~rich(X)))))&
((?[X]:((~funny(X)<~>~patient(X))))<=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((~wise(X)<~>kind(X))<=>(happy(X)&humble(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(brave(X)|~happy(X))))&
(![X]:(~happy(X)=>~humble(X)))&
((kind(lucy))<=>(?[X]:((~strong(X)|wise(... | ~funny(mary) | [] | null | 0 |
Everyone who is either not kind or not brave is either old or not kind and vice versa.
Everyone who is not rich or curious is generous or patient.
Everyone who is either tall or wise is not patient and vice versa.
Everyone who is tall or not strong is either not wise or calm and vice versa.
If someone is not rich then ... | Lucy is wise. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(old(X)<~>~kind(X))))&
(![X]:((~rich(X)|curious(X))=>(generous(X)|patient(X))))&
(![X]:((tall(X)<~>wise(X))<=>~patient(X)))&
(![X]:((tall(X)|~strong(X))<=>(~wise(X)<~>calm(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)<~>quiet(X)))))&
(![X]:(patient(X)<=>(~quiet(X)&rich(X))))&
((?[X]:((ha... | wise(lucy) | [] | null | 0 |
Everyone who is both curious and wise is not kind and vice versa. If someone is both old and not rich then someone is funny and vice versa. If susan is either not creative or funny then susan is not generous or not quiet and vice versa. Everyone who is both not calm and not creative is both rich and not old and vice ve... | Susan is not kind. | entailment | (![X]:((curious(X)&wise(X))<=>~kind(X)))&
((?[X]:((old(X)&~rich(X))))<=>(?[X]:(funny(X))))&
(((~creative(susan)<~>funny(susan)))<=>((~generous(susan)|~quiet(susan))))&
(![X]:((~calm(X)&~creative(X))<=>(rich(X)&~old(X))))&
((?[X]:((~patient(X)|brave(X))))<=>((~creative(paul)&wise(paul))))&
(((strong(lucy)|quiet(lucy)))=... | ~kind(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7650691083824286516488485
% SZS output start Proof for 7650691083824286516488485
8. ! [X0] : (kind(X0) <=> (~kind(X0) & ~generous(X0))) [input p7]
19. kind(susan) [input hypothesis]
44. ! [X0] : ((kind(X0) | (kind(X0) | generous(X0))) & ((~kind(X0) & ~generous(X0)) | ~kind(X0))) [nnf tran... | 0 |
Everyone who is either old or patient is either tall or not old. Everyone who is both not creative and funny is not creative or not old and vice versa. If someone is wise or not wise then lucy is either humble or kind. Everyone who is both not generous and not humble is either strong or not old and vice versa. If someo... | Lucy is not funny. | contradiction | (![X]:((old(X)<~>patient(X))=>(tall(X)<~>~old(X))))&
(![X]:((~creative(X)&funny(X))<=>(~creative(X)|~old(X))))&
((?[X]:((wise(X)|~wise(X))))=>((humble(lucy)<~>kind(lucy))))&
(![X]:((~generous(X)&~humble(X))<=>(strong(X)<~>~old(X))))&
((?[X]:((generous(X)|calm(X))))=>((strong(john)<~>~patient(john))))&
(((strong(susan)&... | ~funny(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5061454475427951364392560
% SZS output start Proof for 5061454475427951364392560
2. ! [X0] : ((funny(X0) & ~creative(X0)) <=> (~old(X0) | ~creative(X0))) [input p1]
3. ? [X0] : (~wise(X0) | wise(X0)) => (humble(lucy) <~> kind(lucy)) [input p2]
4. ! [X0] : ((~humble(X0) & ~generous(X0)) <=... | 0 |
If john is calm then fred is both not patient and patient.
If lucy is either curious or not strong then fred is not creative and vice versa.
Everyone who is calm or tall is old or generous.
If alice is both not patient and not brave then someone is either funny or not strong.
If someone is not patient or patient then s... | Alice is not wise. | contradiction | ((calm(john))=>((~patient(fred)&patient(fred))))&
(((curious(lucy)<~>~strong(lucy)))<=>(~creative(fred)))&
(![X]:((calm(X)|tall(X))=>(old(X)|generous(X))))&
(((~patient(alice)&~brave(alice)))=>(?[X]:((funny(X)<~>~strong(X)))))&
((?[X]:((~patient(X)|patient(X))))=>(?[X]:((strong(X)<~>~tall(X)))))&
((?[X]:((~brave(X)|wis... | ~wise(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2057379041447198720954
% SZS output start Proof for 2057379041447198720954
11. ! [X0] : ((~creative(X0) <~> wise(X0)) <=> creative(X0)) [input p10]
22. ~wise(alice) [input hypothesis]
66. ! [X0] : ((((~wise(X0) | creative(X0)) & (wise(X0) | ~creative(X0))) | ~creative(X0)) & (creative(X0)... | 0 |
If someone is not creative then someone is wise or calm. If mary is both patient and creative then someone is old or curious. Everyone who is not funny is both creative and not creative. If someone is kind then someone is not kind or curious. Everyone who is both not wise and quiet is both not quiet and not rich. Every... | Lucy is humble. | entailment | ((?[X]:(~creative(X)))=>(?[X]:((wise(X)|calm(X)))))&
(((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X)))... | humble(lucy) | [
"p4",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4089770639742810809720801
% SZS output start Proof for 4089770639742810809720801
5. ! [X0] : ((quiet(X0) & ~wise(X0)) => (~rich(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((kind(X0) | generous(X0)) => (creative(X0) & ~kind(X0))) [input p6]
9. ? [X0] : (~tall(X0) | wise(X0)) => humble(lucy)... | 0 |
If john is calm or generous then someone is not happy.
Everyone who is both not wise and calm is old.
If alice is either not strong or not brave then someone is both not tall and creative and vice versa.
If someone is either not patient or not kind then mary is either old or not strong.
Everyone who is either not brave... | Lucy is not patient. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~strong(alice)<~>~brave(alice)))<=>(?[X]:((~tall(X)&creative(X)))))&
((?[X]:((~patient(X)<~>~kind(X))))=>((old(mary)<~>~strong(mary))))&
(![X]:((~brave(X)<~>generous(X))<=>(strong(X)|brave(X))))&
(![X]:((humble(X)|~creative(X))... | ~patient(lucy) | [
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6459150536165725166909361
% SZS output start Proof for 6459150536165725166909361
12. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0))) [input p11]
16. ! [X0] : (~wise(X0) => (quiet(X0) <~> ~patient(X0))) [input p15]
17. ~wise(lucy) & tall(lucy) [input p16]
24. ~patient(lucy) [input hypot... | 0 |
Everyone who is both not tall and not generous is both calm and quiet.
If lucy is not creative or patient then paul is quiet or kind.
If someone is either not humble or not creative then someone is not strong and vice versa.
If someone is either not strong or quiet then someone is old and vice versa.
Everyone who is bo... | Lucy is rich. | neutral | (![X]:((~tall(X)&~generous(X))=>(calm(X)&quiet(X))))&
(((~creative(lucy)|patient(lucy)))=>((quiet(paul)|kind(paul))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:(old(X))))&
(![X]:((~rich(X)&~happy(X))=>(~rich(X)|brave(X))))&
((?[X]:((generous(X)<~>calm(X))))... | rich(lucy) | [] | null | 0 |
Everyone who is either brave or not creative is not quiet or quiet.
Everyone who is not patient is both not kind and not patient.
Everyone who is not curious or creative is kind or strong and vice versa.
Everyone who is both not calm and not tall is both calm and not quiet and vice versa.
Everyone who is either happy o... | Fred is strong. | contradiction | (![X]:((brave(X)<~>~creative(X))=>(~quiet(X)|quiet(X))))&
(![X]:(~patient(X)=>(~kind(X)&~patient(X))))&
(![X]:((~curious(X)|creative(X))<=>(kind(X)|strong(X))))&
(![X]:((~calm(X)&~tall(X))<=>(calm(X)&~quiet(X))))&
(![X]:((happy(X)<~>generous(X))<=>~calm(X)))&
(![X]:(tall(X)=>~strong(X)))&
((?[X]:((wise(X)<~>humble(X)))... | strong(fred) | [
"p3",
"p5",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4079390077466236191865263
% SZS output start Proof for 4079390077466236191865263
4. ! [X0] : ((~tall(X0) & ~calm(X0)) <=> (~quiet(X0) & calm(X0))) [input p3]
6. ! [X0] : (tall(X0) => ~strong(X0)) [input p5]
14. ! [X0] : ((quiet(X0) | curious(X0)) <=> (curious(X0) & funny(X0))) [input p13]... | 0 |
Everyone who is old is both not calm and old and vice versa. If someone is both funny and quiet then john is creative or not curious. If someone is both happy and not calm then someone is not quiet or patient. Everyone who is not quiet is tall or old and vice versa. Everyone who is calm or not tall is either not curiou... | Mary is not calm. | neutral | (![X]:(old(X)<=>(~calm(X)&old(X))))&
((?[X]:((funny(X)&quiet(X))))=>((creative(john)|~curious(john))))&
((?[X]:((happy(X)&~calm(X))))=>(?[X]:((~quiet(X)|patient(X)))))&
(![X]:(~quiet(X)<=>(tall(X)|old(X))))&
(![X]:((calm(X)|~tall(X))<=>(~curious(X)<~>kind(X))))&
((?[X]:((~rich(X)&humble(X))))=>(?[X]:(~calm(X))))&
(![X]... | ~calm(mary) | [] | null | 0 |
Everyone who is not rich is either not old or not rich and vice versa.
Everyone who is either not rich or not kind is either not brave or not funny and vice versa.
Everyone who is not kind or not funny is old or funny and vice versa.
If someone is funny then someone is either curious or not kind.
Everyone who is not st... | Susan is strong. | entailment | (![X]:(~rich(X)<=>(~old(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>~kind(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)|~funny(X))<=>(old(X)|funny(X))))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~kind(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((~tall(X)|patient(X))<=>(tall(X)&~calm(X))))&
(... | strong(susan) | [
"p0",
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5174925064475106176350035
% SZS output start Proof for 5174925064475106176350035
1. ! [X0] : (~rich(X0) <=> (~old(X0) <~> ~rich(X0))) [input p0]
6. ! [X0] : ((patient(X0) | ~tall(X0)) <=> (~calm(X0) & tall(X0))) [input p5]
7. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (~tall(X0) <~> kind(X0)... | 0 |
Everyone who is quiet is either not rich or strong.
Everyone who is either not generous or not calm is creative or not rich and vice versa.
Everyone who is both not old and not generous is both not curious and not wise.
If fred is not calm or not creative then alice is rich or quiet.
Everyone who is strong or not curio... | John is tall. | contradiction | (![X]:(quiet(X)=>(~rich(X)<~>strong(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(creative(X)|~rich(X))))&
(![X]:((~old(X)&~generous(X))=>(~curious(X)&~wise(X))))&
(((~calm(fred)|~creative(fred)))=>((rich(alice)|quiet(alice))))&
(![X]:((strong(X)|~curious(X))<=>(patient(X)&~tall(X))))&
((?[X]:((funny(X)<~>~strong(X))))<=>... | tall(john) | [
"p0",
"p1",
"p4",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8310042889714157939931131
% SZS output start Proof for 8310042889714157939931131
1. ! [X0] : (quiet(X0) => (~rich(X0) <~> strong(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> ~calm(X0)) <=> (~rich(X0) | creative(X0))) [input p1]
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> (~tall(X0) &... | 0 |
Everyone who is either wise or generous is both not wise and wise and vice versa.
If fred is either not wise or generous then alice is either not quiet or calm and vice versa.
Everyone who is either not kind or calm is both calm and happy and vice versa.
Everyone who is either not kind or patient is both not happy and ... | Lucy is generous. | contradiction | (![X]:((wise(X)<~>generous(X))<=>(~wise(X)&wise(X))))&
(((~wise(fred)<~>generous(fred)))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:((~kind(X)<~>calm(X))<=>(calm(X)&happy(X))))&
(![X]:((~kind(X)<~>patient(X))=>(~happy(X)&generous(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(lucy))))&
(![X]:((tall(X)<~>old(X))=>(~ge... | generous(lucy) | [
"p0",
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1375313088957323040738319
% SZS output start Proof for 1375313088957323040738319
1. ! [X0] : ((wise(X0) <~> generous(X0)) <=> (wise(X0) & ~wise(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (happy(X0) & calm(X0))) [input p2]
9. ! [X0] : ((wise(X0) | funny(X0)) <=> (~calm(X0) ... | 0 |
Everyone who is calm or creative is not old or not funny.
Everyone who is wise or patient is both not tall and strong and vice versa.
Everyone who is either not tall or patient is generous or tall.
If paul is rich then someone is either quiet or creative.
Everyone who is both not strong and not patient is not humble or... | Mary is creative. | contradiction | (![X]:((calm(X)|creative(X))=>(~old(X)|~funny(X))))&
(![X]:((wise(X)|patient(X))<=>(~tall(X)&strong(X))))&
(![X]:((~tall(X)<~>patient(X))=>(generous(X)|tall(X))))&
((rich(paul))=>(?[X]:((quiet(X)<~>creative(X)))))&
(![X]:((~strong(X)&~patient(X))=>(~humble(X)|calm(X))))&
(![X]:(brave(X)=>(~humble(X)<~>~wise(X))))&
((?[... | creative(mary) | [
"p1",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9184799253676587130965139
% SZS output start Proof for 9184799253676587130965139
2. ! [X0] : ((patient(X0) | wise(X0)) <=> (strong(X0) & ~tall(X0))) [input p1]
10. ! [X0] : ((old(X0) <~> ~patient(X0)) <=> (~old(X0) <~> tall(X0))) [input p9]
11. ! [X0] : ((generous(X0) | rich(X0)) <=> (wis... | 0 |
If john is either humble or not calm then someone is not generous or not patient. Everyone who is either calm or patient is both not strong and curious. If susan is either not generous or rich then someone is both curious and not strong and vice versa. Everyone who is either kind or funny is not calm or old and vice ve... | Susan is tall. | neutral | (((humble(john)<~>~calm(john)))=>(?[X]:((~generous(X)|~patient(X)))))&
(![X]:((calm(X)<~>patient(X))=>(~strong(X)&curious(X))))&
(((~generous(susan)<~>rich(susan)))<=>(?[X]:((curious(X)&~strong(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(~calm(X)|old(X))))&
(![X]:((humble(X)&~curious(X))<=>(curious(X)&quiet(X))))&
((?[X]:((... | tall(susan) | [] | null | 0 |
If susan is either not generous or not patient then someone is happy and vice versa.
Everyone who is not generous or not quiet is old.
Everyone who is either not old or humble is both happy and not funny and vice versa.
Everyone who is both funny and calm is strong and vice versa.
If mary is both tall and not quiet the... | Fred is not strong. | contradiction | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~generous(X)|~quiet(X))=>old(X)))&
(![X]:((~old(X)<~>humble(X))<=>(happy(X)&~funny(X))))&
(![X]:((funny(X)&calm(X))<=>strong(X)))&
(((tall(mary)&~quiet(mary)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((patient(X)&strong(X))=>~kind(X)))&
((?[X]:((~quiet... | ~strong(fred) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2749564151245698940789974
% SZS output start Proof for 2749564151245698940789974
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) => old(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (~funny(X0) & happy(X0))) [input p2]
4. ! [X0] : ((calm(X0) & funny(X0)) <=> strong(X0)) [input p3]
... | 0 |
If someone is either kind or not creative then susan is both generous and not rich. Everyone who is old or wise is not tall or happy. Everyone who is generous or not patient is both not brave and old. Everyone who is either not funny or not brave is not brave or wise and vice versa. Everyone who is funny is rich or not... | John is creative. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(X)<... | creative(john) | [
"p0",
"p2",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9178493827570346634712147
% SZS output start Proof for 9178493827570346634712147
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (~rich(susan) & generous(susan)) [input p0]
3. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~brave(X0))) [input p2]
8. (creative(mary) & ~calm(mary)) <=> (... | 0 |
If someone is either rich or creative then someone is both not happy and tall and vice versa.
Everyone who is both old and generous is not funny and vice versa.
If paul is brave or patient then susan is either old or kind.
If fred is both not calm and not humble then john is not generous or not rich and vice versa.
Eve... | Fred is generous. | neutral | ((?[X]:((rich(X)<~>creative(X))))<=>(?[X]:((~happy(X)&tall(X)))))&
(![X]:((old(X)&generous(X))<=>~funny(X)))&
(((brave(paul)|patient(paul)))=>((old(susan)<~>kind(susan))))&
(((~calm(fred)&~humble(fred)))<=>((~generous(john)|~rich(john))))&
(![X]:((~humble(X)&~calm(X))=>(~old(X)|kind(X))))&
((?[X]:((calm(X)&~funny(X))))... | generous(fred) | [] | null | 0 |
If someone is both not funny and quiet then someone is either brave or curious.
Everyone who is creative or rich is both curious and old and vice versa.
If someone is not old or generous then someone is either not old or strong and vice versa.
If lucy is either curious or generous then someone is not tall.
If paul is q... | Lucy is tall. | entailment | ((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((creative(X)|rich(X))<=>(curious(X)&old(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((pati... | tall(lucy) | [
"p1",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8906731746228651479408953
% SZS output start Proof for 8906731746228651479408953
2. ! [X0] : ((rich(X0) | creative(X0)) <=> (old(X0) & curious(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (creative(X0) | ~old(X0))) [input p6]
9. ! [X0] : ((tall(X0) & calm(X0)) <=> (old(X0) | ... | 0 |
Everyone who is either not kind or quiet is either tall or not old.
If someone is quiet or calm then alice is both wise and not quiet.
If someone is not tall then someone is quiet or not calm.
If someone is not quiet then someone is kind or not calm.
Everyone who is not patient is generous and vice versa.
Everyone who ... | Susan is calm. | contradiction | (![X]:((~kind(X)<~>quiet(X))=>(tall(X)<~>~old(X))))&
((?[X]:((quiet(X)|calm(X))))=>((wise(alice)&~quiet(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|~calm(X)))))&
(![X]:(~patient(X)<=>generous(X)))&
(![X]:((strong(X)&~strong(X))<=>(wise(X)|brave(X))))&
((?[X]:((humb... | calm(susan) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3726352995850602696998464
% SZS output start Proof for 3726352995850602696998464
2. ? [X0] : (calm(X0) | quiet(X0)) => (~quiet(alice) & wise(alice)) [input p1]
6. ! [X0] : ((~strong(X0) & strong(X0)) <=> (brave(X0) | wise(X0))) [input p5]
23. calm(susan) [input hypothesis]
27. (~quiet(ali... | 0 |
Everyone who is not strong is either not strong or kind and vice versa.
If lucy is both not tall and funny then fred is both strong and old and vice versa.
Everyone who is funny or curious is not happy and vice versa.
If alice is both creative and kind then mary is quiet.
If someone is not old then fred is both not cur... | Fred is not tall. | contradiction | (![X]:(~strong(X)<=>(~strong(X)<~>kind(X))))&
(((~tall(lucy)&funny(lucy)))<=>((strong(fred)&old(fred))))&
(![X]:((funny(X)|curious(X))<=>~happy(X)))&
(((creative(alice)&kind(alice)))=>(quiet(mary)))&
((?[X]:(~old(X)))=>((~curious(fred)&generous(fred))))&
((?[X]:(~funny(X)))=>(?[X]:(~happy(X))))&
(![X]:((happy(X)<~>gene... | ~tall(fred) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1394709624389707794381942
% SZS output start Proof for 1394709624389707794381942
1. ! [X0] : (~strong(X0) <=> (~strong(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((curious(X0) | funny(X0)) <=> ~happy(X0)) [input p2]
7. ! [X0] : ((happy(X0) <~> generous(X0)) <=> ~calm(X0)) [input p6]
8. ! [... | 0 |
Everyone who is not generous or generous is rich. Everyone who is kind is not humble or not curious and vice versa. Everyone who is not brave is not quiet or rich and vice versa. If someone is both curious and creative then someone is not humble or curious and vice versa. Everyone who is both old and not wise is both n... | Paul is not strong. | entailment | (![X]:((~generous(X)|generous(X))=>rich(X)))&
(![X]:(kind(X)<=>(~humble(X)|~curious(X))))&
(![X]:(~brave(X)<=>(~quiet(X)|rich(X))))&
((?[X]:((curious(X)&creative(X))))<=>(?[X]:((~humble(X)|curious(X)))))&
(![X]:((old(X)&~wise(X))=>(~curious(X)&~old(X))))&
(((~quiet(fred)<~>~patient(fred)))<=>(?[X]:((~brave(X)&creative(... | ~strong(paul) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8144445724034427572157489
% SZS output start Proof for 8144445724034427572157489
1. ! [X0] : ((generous(X0) | ~generous(X0)) => rich(X0)) [input p0]
3. ! [X0] : (~brave(X0) <=> (rich(X0) | ~quiet(X0))) [input p2]
10. ! [X0] : (~strong(X0) <=> (~brave(X0) | ~happy(X0))) [input p9]
23. stro... | 0 |
Everyone who is not kind or not creative is both quiet and not brave.
If mary is not kind or wise then paul is either not funny or not brave.
Everyone who is not rich is both not happy and not funny and vice versa.
If someone is not tall then paul is not creative.
If john is either not rich or not wise then fred is eit... | John is not wise. | entailment | (![X]:((~kind(X)|~creative(X))=>(quiet(X)&~brave(X))))&
(((~kind(mary)|wise(mary)))=>((~funny(paul)<~>~brave(paul))))&
(![X]:(~rich(X)<=>(~happy(X)&~funny(X))))&
((?[X]:(~tall(X)))=>(~creative(paul)))&
(((~rich(john)<~>~wise(john)))=>((~old(fred)<~>generous(fred))))&
(![X]:((~wise(X)&generous(X))=>~patient(X)))&
((?[X]... | ~wise(john) | [
"p0",
"p3",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3543483548845911077780075
% SZS output start Proof for 3543483548845911077780075
1. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~brave(X0) & quiet(X0))) [input p0]
4. ? [X0] : ~tall(X0) => ~creative(paul) [input p3]
8. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p7]
15. ! [X0] ... | 0 |
If someone is not strong then someone is both kind and funny.
Everyone who is not generous or wise is either not brave or tall and vice versa.
If someone is not wise or humble then someone is tall or not calm.
Everyone who is generous or not creative is both not humble and not old and vice versa.
If lucy is either not ... | John is not funny. | entailment | ((?[X]:(~strong(X)))=>(?[X]:((kind(X)&funny(X)))))&
(![X]:((~generous(X)|wise(X))<=>(~brave(X)<~>tall(X))))&
((?[X]:((~wise(X)|humble(X))))=>(?[X]:((tall(X)|~calm(X)))))&
(![X]:((generous(X)|~creative(X))<=>(~humble(X)&~old(X))))&
(((~tall(lucy)<~>tall(lucy)))<=>((calm(alice)&~wise(alice))))&
(![X]:((~old(X)<~>~happy(X... | ~funny(john) | [
"p3",
"p6",
"p7",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 381400723330170951544094
% SZS output start Proof for 381400723330170951544094
4. ! [X0] : ((~creative(X0) | generous(X0)) <=> (~old(X0) & ~humble(X0))) [input p3]
7. ? [X0] : ~strong(X0) => ~patient(john) [input p6]
8. ! [X0] : ((~quiet(X0) | kind(X0)) <=> (~patient(X0) <~> ~humble(X0)))... | 0 |
If susan is either funny or happy then susan is both not old and not calm and vice versa. Everyone who is either quiet or funny is both funny and not old. Everyone who is not strong is funny or not strong. If alice is tall or not calm then susan is both creative and tall. Everyone who is either not funny or calm is not... | Alice is not old. | contradiction | (((funny(susan)<~>happy(susan)))<=>((~old(susan)&~calm(susan))))&
(![X]:((quiet(X)<~>funny(X))=>(funny(X)&~old(X))))&
(![X]:(~strong(X)=>(funny(X)|~strong(X))))&
(((tall(alice)|~calm(alice)))=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~stro... | ~old(alice) | [
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8930448695802279843134450
% SZS output start Proof for 8930448695802279843134450
11. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (~kind(X0) <~> ~generous(X0))) [input p10]
12. ! [X0] : (generous(X0) <=> (old(X0) & brave(X0))) [input p11]
14. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0... | 0 |
Everyone who is both not brave and not patient is both brave and not curious and vice versa.
Everyone who is patient or funny is rich and vice versa.
Everyone who is not happy or calm is not funny or not kind.
Everyone who is creative or quiet is calm or not quiet.
If someone is generous or calm then paul is strong or ... | Lucy is brave. | neutral | (![X]:((~brave(X)&~patient(X))<=>(brave(X)&~curious(X))))&
(![X]:((patient(X)|funny(X))<=>rich(X)))&
(![X]:((~happy(X)|calm(X))=>(~funny(X)|~kind(X))))&
(![X]:((creative(X)|quiet(X))=>(calm(X)|~quiet(X))))&
((?[X]:((generous(X)|calm(X))))<=>((strong(paul)|~strong(paul))))&
(((generous(susan)&~calm(susan)))=>(~generous(... | brave(lucy) | [] | null | 0 |
Everyone who is not happy is calm or rich. Everyone who is both not tall and old is not old or quiet. If someone is patient then john is creative or rich. If someone is either kind or not strong then someone is not calm. Everyone who is either tall or not curious is wise or patient. Everyone who is both happy and not s... | Fred is generous. | entailment | (![X]:(~happy(X)=>(calm(X)|rich(X))))&
(![X]:((~tall(X)&old(X))=>(~old(X)|quiet(X))))&
((?[X]:(patient(X)))=>((creative(john)|rich(john))))&
((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:(~calm(X))))&
(![X]:((tall(X)<~>~curious(X))=>(wise(X)|patient(X))))&
(![X]:((happy(X)&~strong(X))<=>(old(X)|~calm(X))))&
(![X]:(generous(X... | generous(fred) | [
"p5",
"p6",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 532572555597231270317635
% SZS output start Proof for 532572555597231270317635
6. ! [X0] : ((~strong(X0) & happy(X0)) <=> (~calm(X0) | old(X0))) [input p5]
7. ! [X0] : (generous(X0) <=> (~happy(X0) | ~rich(X0))) [input p6]
9. ! [X0] : ((strong(X0) | ~quiet(X0)) => (~generous(X0) & generou... | 0 |
If fred is both happy and not wise then paul is humble.
If alice is either not brave or not funny then someone is not quiet.
If someone is either calm or wise then someone is not brave or curious and vice versa.
Everyone who is both not kind and not strong is both calm and quiet and vice versa.
Everyone who is not tall... | Fred is tall. | neutral | (((happy(fred)&~wise(fred)))=>(humble(paul)))&
(((~brave(alice)<~>~funny(alice)))=>(?[X]:(~quiet(X))))&
((?[X]:((calm(X)<~>wise(X))))<=>(?[X]:((~brave(X)|curious(X)))))&
(![X]:((~kind(X)&~strong(X))<=>(calm(X)&quiet(X))))&
(![X]:(~tall(X)=>(humble(X)|~brave(X))))&
(![X]:((humble(X)&strong(X))=>(patient(X)|~quiet(X))))&... | tall(fred) | [] | null | 0 |
If fred is not wise then john is both rich and not curious. Everyone who is not wise is not wise or not brave. Everyone who is both not quiet and brave is generous or quiet and vice versa. If paul is either strong or not calm then fred is both not creative and not humble. If paul is not generous then fred is not old an... | Alice is creative. | contradiction | ((~wise(fred))=>((rich(john)&~curious(john))))&
(![X]:(~wise(X)=>(~wise(X)|~brave(X))))&
(![X]:((~quiet(X)&brave(X))<=>(generous(X)|quiet(X))))&
(((strong(paul)<~>~calm(paul)))=>((~creative(fred)&~humble(fred))))&
((~generous(paul))<=>(~old(fred)))&
(![X]:((~creative(X)<~>~rich(X))=>(humble(X)|quiet(X))))&
((~brave(mar... | creative(alice) | [
"p2",
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5392490029904149198658083
% SZS output start Proof for 5392490029904149198658083
3. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (quiet(X0) | generous(X0))) [input p2]
10. ! [X0] : ((~rich(X0) | quiet(X0)) => (quiet(X0) & old(X0))) [input p9]
13. ! [X0] : (creative(X0) => (~rich(X0) <~> ~calm(X... | 0 |
If lucy is both not brave and not creative then someone is brave or not creative. If someone is calm or not curious then alice is either wise or quiet and vice versa. If someone is not funny or funny then lucy is either humble or patient and vice versa. Everyone who is either curious or not strong is both not strong an... | Fred is creative. | neutral | (((~brave(lucy)&~creative(lucy)))=>(?[X]:((brave(X)|~creative(X)))))&
((?[X]:((calm(X)|~curious(X))))<=>((wise(alice)<~>quiet(alice))))&
((?[X]:((~funny(X)|funny(X))))<=>((humble(lucy)<~>patient(lucy))))&
(![X]:((curious(X)<~>~strong(X))<=>(~strong(X)&old(X))))&
(![X]:((~curious(X)&old(X))<=>~rich(X)))&
(![X]:((strong(... | creative(fred) | [] | null | 0 |
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