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 |
|---|---|---|---|---|---|---|---|
If someone is either not humble or generous then john is not creative and vice versa.
Everyone who is generous or not quiet is either not strong or not funny.
If someone is both not creative and wise then john is quiet and vice versa.
Everyone who is not rich is not calm or not wise.
Everyone who is both generous and n... | John is not happy. | entailment | ((?[X]:((~humble(X)<~>generous(X))))<=>(~creative(john)))&
(![X]:((generous(X)|~quiet(X))=>(~strong(X)<~>~funny(X))))&
((?[X]:((~creative(X)&wise(X))))<=>(quiet(john)))&
(![X]:(~rich(X)=>(~calm(X)|~wise(X))))&
(![X]:((generous(X)&~patient(X))<=>patient(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>((~patient(john)&creative(... | ~happy(john) | [
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1752391299733612775686514
% SZS output start Proof for 1752391299733612775686514
5. ! [X0] : ((~patient(X0) & generous(X0)) <=> patient(X0)) [input p4]
6. ? [X0] : (~brave(X0) | ~strong(X0)) <=> (creative(john) & ~patient(john)) [input p5]
10. ! [X0] : (happy(X0) => (happy(X0) <~> strong(... | 0 |
Everyone who is both not calm and brave is not calm or not tall and vice versa. Everyone who is wise or not kind is not humble or funny. If alice is not creative or humble then someone is both tall and rich and vice versa. Everyone who is either not brave or patient is either not brave or wise and vice versa. If john i... | Paul is not patient. | contradiction | (![X]:((~calm(X)&brave(X))<=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~humble(X)|funny(X))))&
(((~creative(alice)|humble(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((~brave(X)<~>patient(X))<=>(~brave(X)<~>wise(X))))&
(((~old(john)&~funny(john)))<=>((tall(paul)<~>quiet(paul))))&
(![X]:(creative(X)<=>(~quiet... | ~patient(paul) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7604457710919555683351006
% SZS output start Proof for 7604457710919555683351006
1. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (~tall(X0) | ~calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => (funny(X0) | ~humble(X0))) [input p1]
3. (humble(alice) | ~creative(alice)) <=> ? [X0] : (ri... | 0 |
Everyone who is happy or rich is both not happy and not creative. If someone is both not wise and humble then paul is old or humble. Everyone who is both not humble and not quiet is either not tall or not humble and vice versa. Everyone who is old or happy is both not patient and not kind and vice versa. If fred is tal... | Mary is patient. | contradiction | (![X]:((happy(X)|rich(X))=>(~happy(X)&~creative(X))))&
((?[X]:((~wise(X)&humble(X))))=>((old(paul)|humble(paul))))&
(![X]:((~humble(X)&~quiet(X))<=>(~tall(X)<~>~humble(X))))&
(![X]:((old(X)|happy(X))<=>(~patient(X)&~kind(X))))&
((tall(fred))<=>(?[X]:((~curious(X)<~>creative(X)))))&
(((calm(john)&creative(john)))<=>(?[X... | patient(mary) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5420611581650142821974282
% SZS output start Proof for 5420611581650142821974282
4. ! [X0] : ((happy(X0) | old(X0)) <=> (~kind(X0) & ~patient(X0))) [input p3]
17. old(mary) & quiet(mary) [input p16]
23. patient(mary) [input hypothesis]
41. ! [X0] : (((happy(X0) | old(X0)) | (kind(X0) | pa... | 0 |
If paul is calm then alice is both rich and patient and vice versa.
Everyone who is either calm or funny is not tall or quiet.
Everyone who is either not old or not funny is patient.
Everyone who is rich is either not funny or kind.
Everyone who is either generous or not tall is quiet or not funny and vice versa.
If so... | Paul is not curious. | neutral | ((calm(paul))<=>((rich(alice)&patient(alice))))&
(![X]:((calm(X)<~>funny(X))=>(~tall(X)|quiet(X))))&
(![X]:((~old(X)<~>~funny(X))=>patient(X)))&
(![X]:(rich(X)=>(~funny(X)<~>kind(X))))&
(![X]:((generous(X)<~>~tall(X))<=>(quiet(X)|~funny(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~creative(X))))&
((?[X]:(~quiet(X)))<=>((funn... | ~curious(paul) | [] | null | 0 |
If someone is not happy then mary is both brave and quiet and vice versa. Everyone who is either curious or tall is brave or happy. Everyone who is quiet or tall is both not old and not rich and vice versa. If someone is either not curious or not creative then fred is rich and vice versa. If mary is not patient then ma... | Mary is quiet. | entailment | ((?[X]:(~happy(X)))<=>((brave(mary)&quiet(mary))))&
(![X]:((curious(X)<~>tall(X))=>(brave(X)|happy(X))))&
(![X]:((quiet(X)|tall(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~curious(X)<~>~creative(X))))<=>(rich(fred)))&
((~patient(mary))<=>((kind(mary)<~>~old(mary))))&
((?[X]:((patient(X)&brave(X))))<=>(~quiet(lucy)))&
(![X]:(... | quiet(mary) | [
"p0",
"p2",
"p3",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3702967379453260465263799
% SZS output start Proof for 3702967379453260465263799
1. ? [X0] : ~happy(X0) <=> (quiet(mary) & brave(mary)) [input p0]
3. ! [X0] : ((tall(X0) | quiet(X0)) <=> (~rich(X0) & ~old(X0))) [input p2]
4. ? [X0] : (~curious(X0) <~> ~creative(X0)) <=> rich(fred) [input ... | 0 |
If alice is either generous or wise then john is both wise and old. Everyone who is both not humble and humble is tall or not curious and vice versa. Everyone who is both brave and happy is both rich and not funny and vice versa. If someone is both not patient and not rich then someone is generous. Everyone who is not ... | John is patient. | contradiction | (((generous(alice)<~>wise(alice)))=>((wise(john)&old(john))))&
(![X]:((~humble(X)&humble(X))<=>(tall(X)|~curious(X))))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~funny(X))))&
((?[X]:((~patient(X)&~rich(X))))=>(?[X]:(generous(X))))&
(![X]:(~kind(X)<=>funny(X)))&
(![X]:(humble(X)<=>(old(X)<~>~brave(X))))&
((?[X]:((~humble(X... | patient(john) | [
"p2",
"p5",
"p6",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1750160566435043225355860
% SZS output start Proof for 1750160566435043225355860
3. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p2]
6. ! [X0] : (humble(X0) <=> (old(X0) <~> ~brave(X0))) [input p5]
7. ? [X0] : (~humble(X0) <~> ~rich(X0)) => ? [X0] : (humble(X0) & ... | 0 |
If someone is both calm and generous then someone is not generous or creative and vice versa.
Everyone who is not brave or creative is calm or not generous.
If someone is wise or not tall then paul is generous.
Everyone who is patient is not funny and vice versa.
Everyone who is either not rich or rich is not quiet or ... | Paul is tall. | neutral | ((?[X]:((calm(X)&generous(X))))<=>(?[X]:((~generous(X)|creative(X)))))&
(![X]:((~brave(X)|creative(X))=>(calm(X)|~generous(X))))&
((?[X]:((wise(X)|~tall(X))))=>(generous(paul)))&
(![X]:(patient(X)<=>~funny(X)))&
(![X]:((~rich(X)<~>rich(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(su... | tall(paul) | [] | null | 0 |
Everyone who is brave is either happy or tall. If lucy is both not rich and not generous then john is brave or not calm and vice versa. If someone is either not happy or not creative then someone is both old and happy and vice versa. If someone is not curious or calm then someone is humble and vice versa. Everyone who ... | Mary is generous. | neutral | (![X]:(brave(X)=>(happy(X)<~>tall(X))))&
(((~rich(lucy)&~generous(lucy)))<=>((brave(john)|~calm(john))))&
((?[X]:((~happy(X)<~>~creative(X))))<=>(?[X]:((old(X)&happy(X)))))&
((?[X]:((~curious(X)|calm(X))))<=>(?[X]:(humble(X))))&
(![X]:((~humble(X)<~>~quiet(X))=>(~strong(X)&~funny(X))))&
(![X]:((~old(X)|~wise(X))=>(gene... | generous(mary) | [] | null | 0 |
Everyone who is funny or old is not creative.
Everyone who is both brave and not quiet is both not kind and not creative.
If someone is brave or not brave then susan is not generous or not happy and vice versa.
Everyone who is wise is not patient and vice versa.
If someone is not happy or not kind then someone is both ... | Alice is not strong. | entailment | (![X]:((funny(X)|old(X))=>~creative(X)))&
(![X]:((brave(X)&~quiet(X))=>(~kind(X)&~creative(X))))&
((?[X]:((brave(X)|~brave(X))))<=>((~generous(susan)|~happy(susan))))&
(![X]:(wise(X)<=>~patient(X)))&
((?[X]:((~happy(X)|~kind(X))))=>(?[X]:((funny(X)&~humble(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~strong(X)&humble(X)))))&... | ~strong(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3596617220553919438362603
% SZS output start Proof for 3596617220553919438362603
16. ! [X0] : ((tall(X0) & ~tall(X0)) <=> strong(X0)) [input p15]
23. strong(alice) [input hypothesis]
64. ! [X0] : (((tall(X0) & ~tall(X0)) | ~strong(X0)) & (strong(X0) | (~tall(X0) | tall(X0)))) [nnf transfo... | 0 |
If someone is not creative or curious then mary is not kind. If paul is either not rich or not humble then lucy is both not curious and not kind. Everyone who is not calm or old is both not wise and strong. Everyone who is not old or curious is strong. Everyone who is not brave or strong is both creative and not calm a... | Paul is not kind. | entailment | ((?[X]:((~creative(X)|curious(X))))=>(~kind(mary)))&
(((~rich(paul)<~>~humble(paul)))=>((~curious(lucy)&~kind(lucy))))&
(![X]:((~calm(X)|old(X))=>(~wise(X)&strong(X))))&
(![X]:((~old(X)|curious(X))=>strong(X)))&
(![X]:((~brave(X)|strong(X))<=>(creative(X)&~calm(X))))&
((?[X]:((~patient(X)<~>~wise(X))))=>(?[X]:((creativ... | ~kind(paul) | [
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2106057325584539487655125
% SZS output start Proof for 2106057325584539487655125
3. ! [X0] : ((old(X0) | ~calm(X0)) => (strong(X0) & ~wise(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~old(X0)) => strong(X0)) [input p3]
9. ! [X0] : ((~strong(X0) <~> strong(X0)) => (~kind(X0) & ~calm(X0)))... | 0 |
Everyone who is calm is either happy or creative. If lucy is either generous or not brave then someone is old or kind and vice versa. If susan is both old and not brave then someone is both old and not funny and vice versa. If paul is either creative or not generous then john is either happy or humble. Everyone who is ... | Mary is generous. | entailment | (![X]:(calm(X)=>(happy(X)<~>creative(X))))&
(((generous(lucy)<~>~brave(lucy)))<=>(?[X]:((old(X)|kind(X)))))&
(((old(susan)&~brave(susan)))<=>(?[X]:((old(X)&~funny(X)))))&
(((creative(paul)<~>~generous(paul)))=>((happy(john)<~>humble(john))))&
(![X]:((calm(X)|~generous(X))=>(~wise(X)|~funny(X))))&
(![X]:((~wise(X)<~>~fu... | generous(mary) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8933450721433036998412265
% SZS output start Proof for 8933450721433036998412265
5. ! [X0] : ((~generous(X0) | calm(X0)) => (~funny(X0) | ~wise(X0))) [input p4]
23. funny(mary) & wise(mary) [input p22]
25. ~generous(mary) [input hypothesis]
29. ! [X0] : ((~funny(X0) | ~wise(X0)) | (genero... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is tal... | Paul is humble. | contradiction | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | humble(paul) | [
"p0",
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3008249311704681017362140
% SZS output start Proof for 3008249311704681017362140
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((patient(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(... | 0 |
Everyone who is either not calm or not brave is curious and vice versa. If someone is both not tall and not quiet then someone is both not tall and creative. Everyone who is either not kind or not rich is either strong or happy and vice versa. If someone is not quiet or brave then someone is curious and vice versa. Eve... | Paul is brave. | contradiction | (![X]:((~calm(X)<~>~brave(X))<=>curious(X)))&
((?[X]:((~tall(X)&~quiet(X))))=>(?[X]:((~tall(X)&creative(X)))))&
(![X]:((~kind(X)<~>~rich(X))<=>(strong(X)<~>happy(X))))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(curious(X))))&
(![X]:((brave(X)&~funny(X))=>(~happy(X)|~wise(X))))&
(((funny(lucy)&wise(lucy)))=>(rich(paul)))&... | brave(paul) | [
"p0",
"p6",
"p8",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 879690317072677780743267
% SZS output start Proof for 879690317072677780743267
1. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> curious(X0)) [input p0]
7. ! [X0] : ((rich(X0) | calm(X0)) <=> ~old(X0)) [input p6]
9. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> ~calm(X0)) [input p8]
14. ! [X0] : ((calm... | 0 |
Everyone who is both calm and kind is curious.
If lucy is not funny then someone is both not wise and brave and vice versa.
Everyone who is patient is not calm or not strong and vice versa.
If fred is both not tall and not wise then someone is either curious or not tall and vice versa.
Everyone who is not humble or not... | Alice is humble. | contradiction | (![X]:((calm(X)&kind(X))=>curious(X)))&
((~funny(lucy))<=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:(patient(X)<=>(~calm(X)|~strong(X))))&
(((~tall(fred)&~wise(fred)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:((~humble(X)|~happy(X))<=>(~creative(X)&~old(X))))&
((?[X]:(calm(X)))=>((creative(susan)&~humble(susan))))&
((?[X]... | humble(alice) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8977071021175643144218374
% SZS output start Proof for 8977071021175643144218374
5. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~old(X0) & ~creative(X0))) [input p4]
13. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) <~> creative(X0))) [input p12]
23. humble(alice) [input hypothes... | 0 |
Everyone who is kind or old is kind or tall. If fred is not curious or not creative then someone is not patient or funny. If someone is both tall and not curious then someone is strong or kind. If fred is either not creative or creative then paul is funny or not calm and vice versa. If someone is not creative then some... | Susan is not tall. | entailment | (![X]:((kind(X)|old(X))=>(kind(X)|tall(X))))&
(((~curious(fred)|~creative(fred)))=>(?[X]:((~patient(X)|funny(X)))))&
((?[X]:((tall(X)&~curious(X))))=>(?[X]:((strong(X)|kind(X)))))&
(((~creative(fred)<~>creative(fred)))<=>((funny(paul)|~calm(paul))))&
((?[X]:(~creative(X)))<=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:(~hu... | ~tall(susan) | [
"p5",
"p6",
"p9",
"p10",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 286198929734145372113039
% SZS output start Proof for 286198929734145372113039
6. ! [X0] : (~humble(X0) <=> (~old(X0) | old(X0))) [input p5]
7. ! [X0] : ((brave(X0) & ~humble(X0)) <=> (~tall(X0) | ~calm(X0))) [input p6]
10. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> ~brave(X0))) [input p9]
11... | 0 |
If john is strong then alice is not rich or not curious.
If paul is not tall or not old then someone is both not wise and tall and vice versa.
If fred is either not wise or not happy then someone is either funny or not quiet.
Everyone who is both strong and funny is not tall or happy and vice versa.
Everyone who is eit... | Paul is not tall. | contradiction | ((strong(john))=>((~rich(alice)|~curious(alice))))&
(((~tall(paul)|~old(paul)))<=>(?[X]:((~wise(X)&tall(X)))))&
(((~wise(fred)<~>~happy(fred)))=>(?[X]:((funny(X)<~>~quiet(X)))))&
(![X]:((strong(X)&funny(X))<=>(~tall(X)|happy(X))))&
(![X]:((~funny(X)<~>old(X))=>(~calm(X)&brave(X))))&
(![X]:((~happy(X)&~kind(X))<=>(patie... | ~tall(paul) | [
"p3",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7854104861096638140146122
% SZS output start Proof for 7854104861096638140146122
4. ! [X0] : ((funny(X0) & strong(X0)) <=> (happy(X0) | ~tall(X0))) [input p3]
6. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (patient(X0) <~> tall(X0))) [input p5]
10. ! [X0] : ((~old(X0) & ~patient(X0)) <=> ~kind... | 0 |
If paul is both not brave and not generous then someone is not generous and vice versa.
Everyone who is patient or not tall is both patient and not strong and vice versa.
Everyone who is not generous or generous is either not wise or calm and vice versa.
If mary is not calm then someone is old and vice versa.
Everyone ... | John is not happy. | neutral | (((~brave(paul)&~generous(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((patient(X)|~tall(X))<=>(patient(X)&~strong(X))))&
(![X]:((~generous(X)|generous(X))<=>(~wise(X)<~>calm(X))))&
((~calm(mary))<=>(?[X]:(old(X))))&
(![X]:(funny(X)<=>(wise(X)|rich(X))))&
((?[X]:(~old(X)))=>((~strong(susan)<~>happy(susan))))&
(![X]:((creat... | ~happy(john) | [] | null | 0 |
Everyone who is either not strong or not wise is either not generous or not humble.
Everyone who is not curious is both quiet and tall and vice versa.
If someone is either not tall or curious then someone is not happy or funny.
If someone is not generous or wise then lucy is not brave.
If someone is wise then someone i... | Susan is generous. | entailment | (![X]:((~strong(X)<~>~wise(X))=>(~generous(X)<~>~humble(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
((?[X]:((~tall(X)<~>curious(X))))=>(?[X]:((~happy(X)|funny(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(~brave(lucy)))&
((?[X]:(wise(X)))<=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:((calm(X)|tall(X))<=>~funny(X)))&
(![X... | generous(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 679099076493304552171393
% SZS output start Proof for 679099076493304552171393
4. ? [X0] : (wise(X0) | ~generous(X0)) => ~brave(lucy) [input p3]
7. ! [X0] : ((~tall(X0) <~> brave(X0)) <=> tall(X0)) [input p6]
21. ~generous(susan) [input hypothesis]
27. ~brave(lucy) | ! [X0] : (~wise(X0) &... | 0 |
Everyone who is generous is curious.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then someone is not quiet and vice versa.
Everyone who is happy is both creative and not strong and vice versa.
Everyone who is quiet is creative or not generous.
If paul is not kind the... | Fred is not calm. | neutral | (![X]:(generous(X)=>curious(X)))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(quiet(X)=>(creative(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~ol... | ~calm(fred) | [] | null | 0 |
Everyone who is both kind and not curious is curious. If paul is not old or patient then paul is both not generous and patient. If someone is both not rich and not brave then lucy is not patient or not creative and vice versa. If susan is both curious and rich then paul is not tall and vice versa. Everyone who is both ... | John is not patient. | neutral | (![X]:((kind(X)&~curious(X))=>curious(X)))&
(((~old(paul)|patient(paul)))=>((~generous(paul)&patient(paul))))&
((?[X]:((~rich(X)&~brave(X))))<=>((~patient(lucy)|~creative(lucy))))&
(((curious(susan)&rich(susan)))<=>(~tall(paul)))&
(![X]:((~wise(X)&happy(X))=>(quiet(X)&~old(X))))&
(((happy(john)<~>wise(john)))<=>(wise(f... | ~patient(john) | [] | null | 0 |
If alice is humble or patient then someone is both not quiet and brave.
If someone is not curious then mary is both wise and not wise.
If someone is humble then paul is both humble and not patient and vice versa.
Everyone who is either creative or humble is either quiet or kind.
If john is not funny or not happy then p... | Susan is not funny. | entailment | (((humble(alice)|patient(alice)))=>(?[X]:((~quiet(X)&brave(X)))))&
((?[X]:(~curious(X)))=>((wise(mary)&~wise(mary))))&
((?[X]:(humble(X)))<=>((humble(paul)&~patient(paul))))&
(![X]:((creative(X)<~>humble(X))=>(quiet(X)<~>kind(X))))&
(((~funny(john)|~happy(john)))=>((humble(paul)&rich(paul))))&
((?[X]:((~kind(X)|kind(X)... | ~funny(susan) | [
"p2",
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6214002640595710193198278
% SZS output start Proof for 6214002640595710193198278
3. ? [X0] : humble(X0) <=> (~patient(paul) & humble(paul)) [input p2]
7. ! [X0] : (~kind(X0) => (patient(X0) <~> quiet(X0))) [input p6]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (kind(X0) & ~brave(X0))) [i... | 0 |
Everyone who is both funny and wise is either not quiet or wise and vice versa.
If someone is not funny or calm then john is not creative.
Everyone who is both kind and not happy is both not old and quiet and vice versa.
Everyone who is not patient is either tall or not patient and vice versa.
If someone is both brave ... | John is creative. | contradiction | (![X]:((funny(X)&wise(X))<=>(~quiet(X)<~>wise(X))))&
((?[X]:((~funny(X)|calm(X))))=>(~creative(john)))&
(![X]:((kind(X)&~happy(X))<=>(~old(X)&quiet(X))))&
(![X]:(~patient(X)<=>(tall(X)<~>~patient(X))))&
((?[X]:((brave(X)&~old(X))))<=>((wise(paul)&~patient(paul))))&
(![X]:((strong(X)<~>~rich(X))=>(~old(X)|~strong(X))))&... | creative(john) | [
"p0",
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2781203671994912784410179
% SZS output start Proof for 2781203671994912784410179
1. ! [X0] : ((wise(X0) & funny(X0)) <=> (~quiet(X0) <~> wise(X0))) [input p0]
2. ? [X0] : (calm(X0) | ~funny(X0)) => ~creative(john) [input p1]
10. (funny(lucy) | happy(lucy)) => (~quiet(paul) & ~happy(paul))... | 0 |
If someone is either not wise or happy then alice is both not brave and not tall.
If alice is kind then fred is not kind or not funny and vice versa.
Everyone who is both not rich and not curious is not quiet or not curious and vice versa.
Everyone who is patient is either not kind or not quiet and vice versa.
Everyone... | John is rich. | neutral | ((?[X]:((~wise(X)<~>happy(X))))=>((~brave(alice)&~tall(alice))))&
((kind(alice))<=>((~kind(fred)|~funny(fred))))&
(![X]:((~rich(X)&~curious(X))<=>(~quiet(X)|~curious(X))))&
(![X]:(patient(X)<=>(~kind(X)<~>~quiet(X))))&
(![X]:((patient(X)|old(X))=>(~rich(X)<~>~kind(X))))&
((?[X]:((brave(X)<~>~generous(X))))=>(?[X]:((gen... | rich(john) | [] | null | 0 |
Everyone who is either not curious or rich is patient and vice versa. Everyone who is not rich or happy is both brave and not strong and vice versa. Everyone who is either not brave or quiet is not humble and vice versa. If susan is creative then someone is both not kind and not funny and vice versa. Everyone who is bo... | Susan is not patient. | neutral | (![X]:((~curious(X)<~>rich(X))<=>patient(X)))&
(![X]:((~rich(X)|happy(X))<=>(brave(X)&~strong(X))))&
(![X]:((~brave(X)<~>quiet(X))<=>~humble(X)))&
((creative(susan))<=>(?[X]:((~kind(X)&~funny(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~happy(X)<~>strong(X))))&
((?[X]:((~funny(X)<~>~old(X))))<=>((~generous(mary)|~strong(ma... | ~patient(susan) | [] | null | 0 |
If susan is not patient or not calm then someone is either funny or not calm and vice versa.
If fred is both not creative and not tall then paul is kind and vice versa.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
Everyone who is brave or not wise is both not rich and creative an... | Mary is wise. | contradiction | (((~patient(susan)|~calm(susan)))<=>(?[X]:((funny(X)<~>~calm(X)))))&
(((~creative(fred)&~tall(fred)))<=>(kind(paul)))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curious(X)<=>(curious(X)<~>humble(X))))&
(((~creative(alice)<~>curious(alice)))... | wise(mary) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6838675676975167718202209
% SZS output start Proof for 6838675676975167718202209
5. ! [X0] : (curious(X0) <=> (curious(X0) <~> humble(X0))) [input p4]
11. ? [X0] : (wise(X0) | ~creative(X0)) => humble(fred) [input p10]
22. wise(mary) [input hypothesis]
28. humble(fred) | ! [X0] : (~wise(X... | 0 |
Everyone who is creative or calm is either creative or not wise.
Everyone who is not tall is kind.
Everyone who is either creative or not curious is either not kind or funny and vice versa.
Everyone who is not humble or not happy is strong and vice versa.
Everyone who is not calm or generous is either not generous or c... | Lucy is creative. | entailment | (![X]:((creative(X)|calm(X))=>(creative(X)<~>~wise(X))))&
(![X]:(~tall(X)=>kind(X)))&
(![X]:((creative(X)<~>~curious(X))<=>(~kind(X)<~>funny(X))))&
(![X]:((~humble(X)|~happy(X))<=>strong(X)))&
(![X]:((~calm(X)|generous(X))<=>(~generous(X)<~>curious(X))))&
(((~brave(fred)|humble(fred)))<=>(?[X]:((~funny(X)&~humble(X))))... | creative(lucy) | [
"p0",
"p4",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 474568397890415805615564
% SZS output start Proof for 474568397890415805615564
1. ! [X0] : ((calm(X0) | creative(X0)) => (creative(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (~generous(X0) <~> curious(X0))) [input p4]
8. ! [X0] : ((curious(X0) | generous(X0... | 0 |
Everyone who is both not creative and happy is not tall. If someone is rich or patient then someone is either happy or not strong. Everyone who is brave is either not generous or brave. Everyone who is old or not patient is calm or kind. If alice is rich or kind then mary is either not calm or humble and vice versa. If... | Mary is wise. | contradiction | (![X]:((~creative(X)&happy(X))=>~tall(X)))&
((?[X]:((rich(X)|patient(X))))=>(?[X]:((happy(X)<~>~strong(X)))))&
(![X]:(brave(X)=>(~generous(X)<~>brave(X))))&
(![X]:((old(X)|~patient(X))=>(calm(X)|kind(X))))&
(((rich(alice)|kind(alice)))<=>((~calm(mary)<~>humble(mary))))&
((?[X]:(funny(X)))=>((~kind(john)&~rich(john))))&... | wise(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1559696138249922327330093
% SZS output start Proof for 1559696138249922327330093
8. ! [X0] : (patient(X0) <=> (wise(X0) <~> patient(X0))) [input p7]
25. wise(mary) [input hypothesis]
51. ! [X0] : ((patient(X0) | ((wise(X0) | ~patient(X0)) & (patient(X0) | ~wise(X0)))) & (((~patient(X0) | ... | 0 |
Everyone who is both curious and not quiet is either brave or calm and vice versa.
If someone is both calm and not wise then someone is patient or calm and vice versa.
If someone is either not happy or quiet then mary is both not patient and not calm and vice versa.
If paul is both creative and not rich then mary is no... | Fred is generous. | contradiction | (![X]:((curious(X)&~quiet(X))<=>(brave(X)<~>calm(X))))&
((?[X]:((calm(X)&~wise(X))))<=>(?[X]:((patient(X)|calm(X)))))&
((?[X]:((~happy(X)<~>quiet(X))))<=>((~patient(mary)&~calm(mary))))&
(((creative(paul)&~rich(paul)))=>((~tall(mary)|creative(mary))))&
(![X]:((~old(X)|funny(X))=>(old(X)<~>~patient(X))))&
((~wise(john))... | generous(fred) | [
"p1",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 873047069107953227343339
% SZS output start Proof for 873047069107953227343339
2. ? [X0] : (~wise(X0) & calm(X0)) <=> ? [X0] : (calm(X0) | patient(X0)) [input p1]
5. ! [X0] : ((funny(X0) | ~old(X0)) => (old(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : (~calm(X0) <=> (~wise(X0) | creative... | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa. Everyone who is curious or generous is both rich and not wise and vice versa. If someone is humble then someone is not old or not tall and vice versa. Everyone who is not happy is either brave or generous. Everyone who is n... | Susan is wise. | neutral | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((curious(X)|generous(X))<=>(rich(X)&~wise(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:(~happy(X)=>(brave(X)<~>generous(X))))&
(![X]:((~brave(X)|funny(X))<=>tall(X)))&
(![X]:((humble(X)|~rich(X))=>~creative(X)))&
(![X]:(~wise(X... | wise(susan) | [] | null | 0 |
If someone is quiet then paul is both humble and not strong and vice versa.
If someone is both not curious and funny then susan is patient.
Everyone who is not happy is old.
If someone is both not strong and funny then paul is generous and vice versa.
Everyone who is both humble and not quiet is not brave or happy.
Eve... | Lucy is not creative. | entailment | ((?[X]:(quiet(X)))<=>((humble(paul)&~strong(paul))))&
((?[X]:((~curious(X)&funny(X))))=>(patient(susan)))&
(![X]:(~happy(X)=>old(X)))&
((?[X]:((~strong(X)&funny(X))))<=>(generous(paul)))&
(![X]:((humble(X)&~quiet(X))=>(~brave(X)|happy(X))))&
(![X]:((~calm(X)&humble(X))=>(~wise(X)|~strong(X))))&
(((~strong(susan)&rich(s... | ~creative(lucy) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7290990640804670648475176
% SZS output start Proof for 7290990640804670648475176
11. ! [X0] : ((creative(X0) | humble(X0)) <=> (old(X0) & wise(X0))) [input p10]
13. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> creative(X0)) [input p12]
25. creative(lucy) [input hypothesis]
56. ! [X0] : (((creati... | 0 |
If fred is either funny or not creative then someone is not creative or not generous and vice versa.
If mary is both not strong and creative then fred is either not strong or patient and vice versa.
Everyone who is brave is either funny or tall and vice versa.
Everyone who is both not strong and not old is tall.
Everyo... | Fred is funny. | entailment | (((funny(fred)<~>~creative(fred)))<=>(?[X]:((~creative(X)|~generous(X)))))&
(((~strong(mary)&creative(mary)))<=>((~strong(fred)<~>patient(fred))))&
(![X]:(brave(X)<=>(funny(X)<~>tall(X))))&
(![X]:((~strong(X)&~old(X))=>tall(X)))&
(![X]:((generous(X)<~>~tall(X))<=>rich(X)))&
(((~kind(susan)|humble(susan)))<=>(?[X]:((~ta... | funny(fred) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p12",
"p15",
"p21",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 86652979352590933544808
% SZS output start Proof for 86652979352590933544808
1. (funny(fred) <~> ~creative(fred)) <=> ? [X0] : (~generous(X0) | ~creative(X0)) [input p0]
5. ! [X0] : ((generous(X0) <~> ~tall(X0)) <=> rich(X0)) [input p4]
7. (~humble(fred) <~> wise(fred)) <=> ? [X0] : (~cre... | 0 |
If someone is both not strong and strong then someone is both calm and not brave and vice versa.
If mary is either not tall or not funny then mary is both happy and not humble.
Everyone who is calm or not tall is both rich and not old.
If someone is patient or generous then lucy is both generous and not funny.
If paul ... | Lucy is old. | entailment | ((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
(((~tall(mary)<~>~funny(mary)))=>((happy(mary)&~humble(mary))))&
(![X]:((calm(X)|~tall(X))=>(rich(X)&~old(X))))&
((?[X]:((patient(X)|generous(X))))=>((generous(lucy)&~funny(lucy))))&
(((~calm(paul)&~patient(paul)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(... | old(lucy) | [
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6533449285750169603218775
% SZS output start Proof for 6533449285750169603218775
5. (~patient(paul) & ~calm(paul)) <=> ? [X0] : (strong(X0) <~> curious(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~brave(X0)) => (creative(X0) <~> ~happy(X0))) [input p5]
8. ! [X0] : ((~tall(X0) | creativ... | 0 |
If someone is both not patient and funny then john is not kind or not curious. If someone is both quiet and old then someone is both strong and not strong. Everyone who is not kind or patient is both not quiet and creative. If john is not strong then someone is either rich or not humble and vice versa. If someone is ei... | John is old. | entailment | ((?[X]:((~patient(X)&funny(X))))=>((~kind(john)|~curious(john))))&
((?[X]:((quiet(X)&old(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)&creative(X))))&
((~strong(john))<=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((creative(X)<~>kind(X))))=>((patient(mary)&~old(mary))))&
(![X]:(wise(X)... | old(john) | [
"p1",
"p7",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2262196358422542274490699
% SZS output start Proof for 2262196358422542274490699
2. ? [X0] : (old(X0) & quiet(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p1]
8. ! [X0] : (creative(X0) <=> (kind(X0) | ~quiet(X0))) [input p7]
14. ! [X0] : ((~creative(X0) <~> happy(X0)) <=> (old(X0) |... | 0 |
Everyone who is not creative is either brave or not rich and vice versa.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind... | Paul is not humble. | neutral | (![X]:(~creative(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(gene... | ~humble(paul) | [] | null | 0 |
If fred is not humble then someone is not old or not kind and vice versa. Everyone who is tall or not patient is either not brave or quiet. Everyone who is generous is not old and vice versa. Everyone who is not kind is not funny or not old. Everyone who is both generous and old is both not calm and kind. Everyone who ... | John is not brave. | neutral | ((~humble(fred))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((tall(X)|~patient(X))=>(~brave(X)<~>quiet(X))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:(~kind(X)=>(~funny(X)|~old(X))))&
(![X]:((generous(X)&old(X))=>(~calm(X)&kind(X))))&
(![X]:(~patient(X)<=>brave(X)))&
(![X]:(brave(X)<=>(~strong(X)&~happy(X))))&
((?[X]:((~creat... | ~brave(john) | [] | null | 0 |
If mary is either tall or not kind then someone is old.
Everyone who is strong or generous is old and vice versa.
Everyone who is both not old and wise is both humble and funny and vice versa.
Everyone who is both generous and not quiet is not happy or not quiet.
If alice is either tall or not humble then alice is eith... | Alice is quiet. | contradiction | (((tall(mary)<~>~kind(mary)))=>(?[X]:(old(X))))&
(![X]:((strong(X)|generous(X))<=>old(X)))&
(![X]:((~old(X)&wise(X))<=>(humble(X)&funny(X))))&
(![X]:((generous(X)&~quiet(X))=>(~happy(X)|~quiet(X))))&
(((tall(alice)<~>~humble(alice)))<=>((~funny(alice)<~>funny(alice))))&
(![X]:((creative(X)|tall(X))<=>(generous(X)&~funn... | quiet(alice) | [
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8647743260934424691905322
% SZS output start Proof for 8647743260934424691905322
6. ! [X0] : ((tall(X0) | creative(X0)) <=> (~funny(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p6]
9. ! [X0] : ((happy(X0) <~> ~quiet(X0)) => (~... | 0 |
Everyone who is not curious or patient is both not wise and happy.
If paul is not brave then someone is quiet or not strong and vice versa.
If john is kind then someone is rich or wise.
Everyone who is either not old or happy is tall.
If mary is not tall then someone is old or generous and vice versa.
If someone is eit... | Paul is not funny. | neutral | (![X]:((~curious(X)|patient(X))=>(~wise(X)&happy(X))))&
((~brave(paul))<=>(?[X]:((quiet(X)|~strong(X)))))&
((kind(john))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((~old(X)<~>happy(X))=>tall(X)))&
((~tall(mary))<=>(?[X]:((old(X)|generous(X)))))&
((?[X]:((~funny(X)<~>~happy(X))))<=>((~happy(susan)<~>~humble(susan))))&
(![X]:(... | ~funny(paul) | [] | null | 0 |
If susan is either not rich or generous then someone is not strong.
Everyone who is generous is not wise and vice versa.
Everyone who is curious is either patient or wise and vice versa.
Everyone who is not curious is not generous or not patient.
Everyone who is both old and tall is not generous and vice versa.
Everyon... | Alice is wise. | contradiction | (((~rich(susan)<~>generous(susan)))=>(?[X]:(~strong(X))))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(curious(X)<=>(patient(X)<~>wise(X))))&
(![X]:(~curious(X)=>(~generous(X)|~patient(X))))&
(![X]:((old(X)&tall(X))<=>~generous(X)))&
(![X]:((tall(X)<~>~quiet(X))=>(rich(X)&wise(X))))&
((calm(paul))=>(?[X]:((generous(X)|~hum... | wise(alice) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3039011100667640145619995
% SZS output start Proof for 3039011100667640145619995
2. ! [X0] : (generous(X0) <=> ~wise(X0)) [input p1]
18. generous(alice) [input p17]
25. wise(alice) [input hypothesis]
42. ! [X0] : ((generous(X0) | wise(X0)) & (~wise(X0) | ~generous(X0))) [nnf transformatio... | 0 |
If someone is not happy then someone is either not funny or not patient. Everyone who is either patient or strong is creative. Everyone who is either not creative or tall is strong or calm and vice versa. Everyone who is either creative or patient is either rich or curious. If lucy is both quiet and not wise then fred ... | Fred is not creative. | contradiction | ((?[X]:(~happy(X)))=>(?[X]:((~funny(X)<~>~patient(X)))))&
(![X]:((patient(X)<~>strong(X))=>creative(X)))&
(![X]:((~creative(X)<~>tall(X))<=>(strong(X)|calm(X))))&
(![X]:((creative(X)<~>patient(X))=>(rich(X)<~>curious(X))))&
(((quiet(lucy)&~wise(lucy)))<=>((~generous(fred)&~brave(fred))))&
(![X]:(~wise(X)<=>(calm(X)|hum... | ~creative(fred) | [
"p2",
"p5",
"p8",
"p10",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2337292042754499718710154
% SZS output start Proof for 2337292042754499718710154
3. ! [X0] : ((~creative(X0) <~> tall(X0)) <=> (calm(X0) | strong(X0))) [input p2]
6. ! [X0] : (~wise(X0) <=> (humble(X0) | calm(X0))) [input p5]
9. ? [X0] : quiet(X0) <=> (~humble(fred) & wise(fred)) [input p... | 0 |
Everyone who is either kind or brave is either not rich or not quiet. If susan is not patient then someone is not calm or not kind. Everyone who is either brave or not generous is not generous. If alice is both not kind and not happy then someone is generous or not old. Everyone who is both not humble and not kind is w... | John is not generous. | entailment | (![X]:((kind(X)<~>brave(X))=>(~rich(X)<~>~quiet(X))))&
((~patient(susan))=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((brave(X)<~>~generous(X))=>~generous(X)))&
(((~kind(alice)&~happy(alice)))=>(?[X]:((generous(X)|~old(X)))))&
(![X]:((~humble(X)&~kind(X))=>wise(X)))&
(![X]:((calm(X)|~rich(X))=>~calm(X)))&
((?[X]:((calm(X)<~... | ~generous(john) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5320157273933577330575407
% SZS output start Proof for 5320157273933577330575407
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => ~generous(X0)) [input p2]
12. ! [X0] : (brave(X0) <=> (generous(X0) | ~patient(X0))) [input p11]
25. generous(john) [input hypothesis]
32. ! [X0] : (~generous(X0)... | 0 |
If someone is either tall or brave then someone is wise or generous and vice versa. If someone is both curious and not old then someone is both not quiet and humble and vice versa. If mary is strong or generous then susan is not calm. Everyone who is both not calm and creative is both tall and old. If someone is both n... | Paul is brave. | entailment | ((?[X]:((tall(X)<~>brave(X))))<=>(?[X]:((wise(X)|generous(X)))))&
((?[X]:((curious(X)&~old(X))))<=>(?[X]:((~quiet(X)&humble(X)))))&
(((strong(mary)|generous(mary)))=>(~calm(susan)))&
(![X]:((~calm(X)&creative(X))=>(tall(X)&old(X))))&
((?[X]:((~calm(X)&~creative(X))))=>(~patient(mary)))&
(![X]:((patient(X)<~>~patient(X)... | brave(paul) | [
"p5",
"p6",
"p7",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 702602256131480846921794
% SZS output start Proof for 702602256131480846921794
6. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~rich(X0) & wise(X0))) [input p5]
7. (~wise(john) <~> ~old(john)) <=> ? [X0] : (patient(X0) | funny(X0)) [input p6]
8. ! [X0] : (~patient(X0) => (~brave(X0) <~> w... | 0 |
Everyone who is either kind or rich is either quiet or not wise.
If paul is either kind or not happy then someone is rich or strong and vice versa.
If someone is either not patient or old then someone is not funny or not humble.
If someone is either kind or humble then someone is not funny or patient and vice versa.
Ev... | Alice is old. | contradiction | (![X]:((kind(X)<~>rich(X))=>(quiet(X)<~>~wise(X))))&
(((kind(paul)<~>~happy(paul)))<=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:((~patient(X)<~>old(X))))=>(?[X]:((~funny(X)|~humble(X)))))&
((?[X]:((kind(X)<~>humble(X))))<=>(?[X]:((~funny(X)|patient(X)))))&
(![X]:((~calm(X)<~>curious(X))=>(~old(X)|~kind(X))))&
((kind(paul))... | old(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6125213520763615562381384
% SZS output start Proof for 6125213520763615562381384
18. ~old(alice) & strong(alice) [input p17]
25. old(alice) [input hypothesis]
137. ~old(alice) [cnf transformation 18]
145. old(alice) [cnf transformation 25]
301. $false [subsumption resolution 145,137]
% SZ... | 0 |
If someone is old then john is curious or not old.
If john is both not kind and not wise then alice is either not brave or not curious.
If someone is creative then susan is calm or not strong.
Everyone who is both not funny and brave is not generous and vice versa.
If someone is either old or not patient then lucy is b... | Mary is tall. | entailment | ((?[X]:(old(X)))=>((curious(john)|~old(john))))&
(((~kind(john)&~wise(john)))=>((~brave(alice)<~>~curious(alice))))&
((?[X]:(creative(X)))=>((calm(susan)|~strong(susan))))&
(![X]:((~funny(X)&brave(X))<=>~generous(X)))&
((?[X]:((old(X)<~>~patient(X))))<=>((humble(lucy)&~humble(lucy))))&
(![X]:((~funny(X)&~patient(X))<=>... | tall(mary) | [
"p5",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3945384303395690770667134
% SZS output start Proof for 3945384303395690770667134
6. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> (~wise(X0) | ~tall(X0))) [input p5]
7. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (~creative(X0) & tall(X0))) [input p6]
17. humble(mary) | funny(mary) [input p16]
25... | 0 |
If fred is not generous or kind then alice is funny or not brave. If someone is either patient or not patient then lucy is creative and vice versa. Everyone who is both happy and not brave is either not wise or strong and vice versa. If fred is rich or not generous then paul is not curious or tall. If someone is either... | Alice is funny. | neutral | (((~generous(fred)|kind(fred)))=>((funny(alice)|~brave(alice))))&
((?[X]:((patient(X)<~>~patient(X))))<=>(creative(lucy)))&
(![X]:((happy(X)&~brave(X))<=>(~wise(X)<~>strong(X))))&
(((rich(fred)|~generous(fred)))=>((~curious(paul)|tall(paul))))&
((?[X]:((~rich(X)<~>quiet(X))))<=>((~generous(paul)<~>~quiet(paul))))&
(((~... | funny(alice) | [] | null | 0 |
Everyone who is calm or not generous is both quiet and brave and vice versa. If someone is either not generous or calm then mary is generous. Everyone who is not humble or not kind is funny. If fred is either tall or not patient then alice is both not happy and strong. If someone is both not generous and not old then s... | Susan is not tall. | neutral | (![X]:((calm(X)|~generous(X))<=>(quiet(X)&brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))=>(generous(mary)))&
(![X]:((~humble(X)|~kind(X))=>funny(X)))&
(((tall(fred)<~>~patient(fred)))=>((~happy(alice)&strong(alice))))&
((?[X]:((~generous(X)&~old(X))))<=>(?[X]:((~brave(X)<~>brave(X)))))&
((?[X]:((patient(X)&tall(X))))<... | ~tall(susan) | [] | null | 0 |
If someone is quiet then lucy is either not strong or not rich.
If someone is either not patient or not quiet then someone is curious.
Everyone who is patient is both not tall and happy.
Everyone who is not rich is not brave or not creative and vice versa.
If someone is either tall or patient then someone is either hap... | Alice is not funny. | neutral | ((?[X]:(quiet(X)))=>((~strong(lucy)<~>~rich(lucy))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(?[X]:(curious(X))))&
(![X]:(patient(X)=>(~tall(X)&happy(X))))&
(![X]:(~rich(X)<=>(~brave(X)|~creative(X))))&
((?[X]:((tall(X)<~>patient(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:((creative(X)|~creative(X))<=>(kind(X)|~qui... | ~funny(alice) | [] | null | 0 |
Everyone who is both humble and strong is old and vice versa. Everyone who is both patient and not kind is not kind. Everyone who is either not happy or strong is happy or humble and vice versa. If someone is humble or not wise then someone is rich. Everyone who is not patient is either not quiet or kind and vice versa... | Susan is not quiet. | contradiction | (![X]:((humble(X)&strong(X))<=>old(X)))&
(![X]:((patient(X)&~kind(X))=>~kind(X)))&
(![X]:((~happy(X)<~>strong(X))<=>(happy(X)|humble(X))))&
((?[X]:((humble(X)|~wise(X))))=>(?[X]:(rich(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:((strong(X)<~>calm(X))))<=>((curious(susan)|~generous(susan))))&
((?[X]:(qui... | ~quiet(susan) | [
"p7",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2587193785835042975329387
% SZS output start Proof for 2587193785835042975329387
8. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (creative(X0) <~> ~wise(X0))) [input p7]
13. ! [X0] : ((humble(X0) | old(X0)) => (brave(X0) & curious(X0))) [input p12]
15. ! [X0] : ((~creative(X0) | ~old(X0)) <=... | 0 |
If someone is either not kind or creative then fred is either not curious or old and vice versa. If someone is either not kind or not rich then someone is not brave or not generous. Everyone who is both creative and not rich is both not patient and quiet and vice versa. Everyone who is not happy or not rich is not humb... | Mary is not rich. | neutral | ((?[X]:((~kind(X)<~>creative(X))))<=>((~curious(fred)<~>old(fred))))&
((?[X]:((~kind(X)<~>~rich(X))))=>(?[X]:((~brave(X)|~generous(X)))))&
(![X]:((creative(X)&~rich(X))<=>(~patient(X)&quiet(X))))&
(![X]:((~happy(X)|~rich(X))<=>~humble(X)))&
(![X]:((~funny(X)|~quiet(X))=>(creative(X)<~>~tall(X))))&
(![X]:(tall(X)<=>old(... | ~rich(mary) | [] | null | 0 |
If someone is not humble then john is not patient.
If paul is either humble or not patient then someone is not calm.
If john is either not happy or rich then someone is old or not strong and vice versa.
Everyone who is not quiet or not happy is both not funny and rich and vice versa.
Everyone who is either not quiet or... | Mary is funny. | entailment | ((?[X]:(~humble(X)))=>(~patient(john)))&
(((humble(paul)<~>~patient(paul)))=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(kind(X)&~brave(X))))&
(![X]:((old(X)<~>~strong(X))<=>(patient(X)&~happy(X... | funny(mary) | [
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 879319848237747605945982
% SZS output start Proof for 879319848237747605945982
8. ! [X0] : ((~quiet(X0) & ~calm(X0)) => (~creative(X0) & calm(X0))) [input p7]
9. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~quiet(X0) | ~funny(X0))) [input p8]
13. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (old... | 0 |
If fred is both humble and not brave then mary is both kind and wise and vice versa. If someone is funny or not tall then someone is either strong or patient. Everyone who is either calm or wise is generous or not calm. Everyone who is both kind and humble is creative or calm. If susan is not tall or brave then mary is... | Mary is humble. | neutral | (((humble(fred)&~brave(fred)))<=>((kind(mary)&wise(mary))))&
((?[X]:((funny(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>wise(X))=>(generous(X)|~calm(X))))&
(![X]:((kind(X)&humble(X))=>(creative(X)|calm(X))))&
(((~tall(susan)|brave(susan)))=>((~curious(mary)&calm(mary))))&
(![X]:((~kind(X)|stro... | humble(mary) | [] | null | 0 |
Everyone who is either funny or curious is either quiet or kind.
If john is both happy and wise then lucy is both tall and funny.
Everyone who is not kind is either not patient or patient.
If mary is not strong or old then someone is rich or happy and vice versa.
Everyone who is not wise is either humble or not wise.
E... | Paul is old. | neutral | (![X]:((funny(X)<~>curious(X))=>(quiet(X)<~>kind(X))))&
(((happy(john)&wise(john)))=>((tall(lucy)&funny(lucy))))&
(![X]:(~kind(X)=>(~patient(X)<~>patient(X))))&
(((~strong(mary)|old(mary)))<=>(?[X]:((rich(X)|happy(X)))))&
(![X]:(~wise(X)=>(humble(X)<~>~wise(X))))&
(![X]:((quiet(X)&~humble(X))<=>(~curious(X)|~funny(X)))... | old(paul) | [] | null | 0 |
If someone is either not tall or not strong then someone is both happy and not quiet and vice versa. Everyone who is not strong or old is both creative and patient. If mary is either quiet or patient then fred is either not patient or not calm. If john is both not quiet and not patient then fred is both patient and not... | Fred is calm. | entailment | ((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~strong(X)|old(X))=>(creative(X)&patient(X))))&
(((quiet(mary)<~>patient(mary)))=>((~patient(fred)<~>~calm(fred))))&
(((~quiet(john)&~patient(john)))<=>((patient(fred)&~strong(fred))))&
(![X]:((rich(X)|patient(X))<=>(~kind(X)<~>~happy(X))))&
((... | calm(fred) | [
"p2",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 218238860312549639492435
% SZS output start Proof for 218238860312549639492435
3. (quiet(mary) <~> patient(mary)) => (~patient(fred) <~> ~calm(fred)) [input p2]
11. ! [X0] : ((~quiet(X0) <~> wise(X0)) <=> wise(X0)) [input p10]
16. ! [X0] : ((brave(X0) <~> patient(X0)) <=> brave(X0)) [inpu... | 0 |
Everyone who is either tall or not generous is not happy or not creative and vice versa.
If someone is not patient or quiet then someone is not calm or not old.
If alice is not kind then someone is either funny or strong and vice versa.
If someone is not humble then paul is either quiet or not kind.
Everyone who is str... | Lucy is creative. | neutral | (![X]:((tall(X)<~>~generous(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((~patient(X)|quiet(X))))=>(?[X]:((~calm(X)|~old(X)))))&
((~kind(alice))<=>(?[X]:((funny(X)<~>strong(X)))))&
((?[X]:(~humble(X)))=>((quiet(paul)<~>~kind(paul))))&
(![X]:(strong(X)<=>(humble(X)|~strong(X))))&
((?[X]:((kind(X)<~>~curious(X))))<=>((~wise... | creative(lucy) | [] | null | 0 |
If john is either not calm or not patient then susan is not old or not creative.
If someone is old or not rich then lucy is not curious or not generous.
If someone is quiet or not quiet then fred is happy.
If someone is both not quiet and not wise then someone is humble or not tall and vice versa.
Everyone who is both ... | John is not calm. | neutral | (((~calm(john)<~>~patient(john)))=>((~old(susan)|~creative(susan))))&
((?[X]:((old(X)|~rich(X))))=>((~curious(lucy)|~generous(lucy))))&
((?[X]:((quiet(X)|~quiet(X))))=>(happy(fred)))&
((?[X]:((~quiet(X)&~wise(X))))<=>(?[X]:((humble(X)|~tall(X)))))&
(![X]:((~kind(X)&generous(X))<=>(quiet(X)|~patient(X))))&
((strong(fred... | ~calm(john) | [] | null | 0 |
If alice is either not quiet or not generous then someone is both kind and not kind and vice versa. If someone is either not old or kind then someone is either not happy or happy and vice versa. If paul is both old and not old then someone is both not humble and kind. If alice is either not rich or kind then someone is... | John is not creative. | contradiction | (((~quiet(alice)<~>~generous(alice)))<=>(?[X]:((kind(X)&~kind(X)))))&
((?[X]:((~old(X)<~>kind(X))))<=>(?[X]:((~happy(X)<~>happy(X)))))&
(((old(paul)&~old(paul)))=>(?[X]:((~humble(X)&kind(X)))))&
(((~rich(alice)<~>kind(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
((?[X]:((patient(X)<~>creative(... | ~creative(john) | [
"p5",
"p6",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6817909751088665822398815
% SZS output start Proof for 6817909751088665822398815
6. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0)) [input p5]
7. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p6]
12. ! [X0] : ((~curious(X0) & ~humble(X0)) <=> (~ta... | 0 |
If alice is either humble or not quiet then fred is either not rich or generous and vice versa. Everyone who is not brave is either not wise or not happy and vice versa. Everyone who is creative or not patient is wise. Everyone who is either not tall or wise is wise. Everyone who is both not quiet and not funny is not ... | Paul is not old. | contradiction | (((humble(alice)<~>~quiet(alice)))<=>((~rich(fred)<~>generous(fred))))&
(![X]:(~brave(X)<=>(~wise(X)<~>~happy(X))))&
(![X]:((creative(X)|~patient(X))=>wise(X)))&
(![X]:((~tall(X)<~>wise(X))=>wise(X)))&
(![X]:((~quiet(X)&~funny(X))<=>(~quiet(X)|patient(X))))&
(((humble(paul)|~funny(paul)))<=>((creative(paul)&calm(paul))... | ~old(paul) | [
"p2",
"p4",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6279898154919544611744468
% SZS output start Proof for 6279898154919544611744468
3. ! [X0] : ((~patient(X0) | creative(X0)) => wise(X0)) [input p2]
5. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (patient(X0) | ~quiet(X0))) [input p4]
6. (~funny(paul) | humble(paul)) <=> (calm(paul) & creative... | 0 |
If mary is not old then someone is not funny and vice versa.
Everyone who is both creative and not humble is quiet or strong.
Everyone who is not creative or not tall is not patient or brave and vice versa.
Everyone who is both not generous and funny is either not creative or quiet and vice versa.
Everyone who is eithe... | Lucy is happy. | contradiction | ((~old(mary))<=>(?[X]:(~funny(X))))&
(![X]:((creative(X)&~humble(X))=>(quiet(X)|strong(X))))&
(![X]:((~creative(X)|~tall(X))<=>(~patient(X)|brave(X))))&
(![X]:((~generous(X)&funny(X))<=>(~creative(X)<~>quiet(X))))&
(![X]:((humble(X)<~>strong(X))=>~old(X)))&
(((happy(john)<~>tall(john)))=>((patient(paul)|tall(paul))))&
... | happy(lucy) | [
"p2",
"p7",
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1617481178785789884792020
% SZS output start Proof for 1617481178785789884792020
3. ! [X0] : ((~tall(X0) | ~creative(X0)) <=> (brave(X0) | ~patient(X0))) [input p2]
8. ! [X0] : ((kind(X0) & generous(X0)) <=> (brave(X0) | curious(X0))) [input p7]
9. ! [X0] : ((funny(X0) | happy(X0)) <=> pa... | 0 |
If someone is either funny or not kind then alice is curious and vice versa.
Everyone who is both strong and not wise is wise and vice versa.
If fred is patient then someone is both rich and wise.
Everyone who is not rich or kind is not happy.
Everyone who is not brave is not funny or not kind.
If someone is either not... | Alice is not brave. | entailment | ((?[X]:((funny(X)<~>~kind(X))))<=>(curious(alice)))&
(![X]:((strong(X)&~wise(X))<=>wise(X)))&
((patient(fred))=>(?[X]:((rich(X)&wise(X)))))&
(![X]:((~rich(X)|kind(X))=>~happy(X)))&
(![X]:(~brave(X)=>(~funny(X)|~kind(X))))&
((?[X]:((~humble(X)<~>~old(X))))=>((tall(susan)&~humble(susan))))&
((~generous(alice))=>(strong(l... | ~brave(alice) | [
"p1",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7379908724153479634814045
% SZS output start Proof for 7379908724153479634814045
2. ! [X0] : ((~wise(X0) & strong(X0)) <=> wise(X0)) [input p1]
7. ~generous(alice) => strong(lucy) [input p6]
12. ! [X0] : ((brave(X0) <~> curious(X0)) <=> (~quiet(X0) & ~generous(X0))) [input p11]
13. ! [X0]... | 0 |
If someone is not old or humble then mary is either kind or curious and vice versa.
If mary is quiet then lucy is generous.
Everyone who is either not strong or brave is either patient or quiet and vice versa.
If someone is not creative then someone is not curious.
Everyone who is both humble and not rich is not patien... | Susan is wise. | neutral | ((?[X]:((~old(X)|humble(X))))<=>((kind(mary)<~>curious(mary))))&
((quiet(mary))=>(generous(lucy)))&
(![X]:((~strong(X)<~>brave(X))<=>(patient(X)<~>quiet(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~curious(X))))&
(![X]:((humble(X)&~rich(X))=>~patient(X)))&
((?[X]:((rich(X)|funny(X))))<=>((~strong(alice)|generous(alice))))&
(... | wise(susan) | [] | null | 0 |
Everyone who is either not happy or not patient is not old. If alice is brave then someone is not quiet and vice versa. If someone is both rich and quiet then alice is strong or brave and vice versa. Everyone who is not old or not funny is both tall and not humble. If susan is rich then someone is either not brave or n... | Mary is not generous. | entailment | (![X]:((~happy(X)<~>~patient(X))=>~old(X)))&
((brave(alice))<=>(?[X]:(~quiet(X))))&
((?[X]:((rich(X)&quiet(X))))<=>((strong(alice)|brave(alice))))&
(![X]:((~old(X)|~funny(X))=>(tall(X)&~humble(X))))&
((rich(susan))=>(?[X]:((~brave(X)<~>~rich(X)))))&
(((quiet(alice)&~wise(alice)))=>(~calm(fred)))&
(![X]:((curious(X)&cal... | ~generous(mary) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6962830465782378938407538
% SZS output start Proof for 6962830465782378938407538
16. ! [X0] : ((happy(X0) | wise(X0)) => (calm(X0) & ~generous(X0))) [input p15]
19. old(mary) & wise(mary) [input p18]
24. generous(mary) [input hypothesis]
38. ! [X0] : ((calm(X0) & ~generous(X0)) | (~happy(... | 0 |
If someone is either quiet or not brave then paul is not patient and vice versa.
If someone is both not calm and strong then john is rich and vice versa.
If paul is either patient or strong then paul is calm or generous.
If paul is strong then lucy is both curious and not brave and vice versa.
Everyone who is either ri... | Susan is not funny. | neutral | ((?[X]:((quiet(X)<~>~brave(X))))<=>(~patient(paul)))&
((?[X]:((~calm(X)&strong(X))))<=>(rich(john)))&
(((patient(paul)<~>strong(paul)))=>((calm(paul)|generous(paul))))&
((strong(paul))<=>((curious(lucy)&~brave(lucy))))&
(![X]:((rich(X)<~>~happy(X))<=>~wise(X)))&
((?[X]:((~curious(X)<~>patient(X))))<=>(?[X]:((creative(X... | ~funny(susan) | [] | null | 0 |
Everyone who is either not tall or humble is both not calm and creative. Everyone who is not rich or kind is wise and vice versa. If someone is humble or not creative then fred is not wise and vice versa. If paul is either creative or not humble then someone is not tall and vice versa. If someone is either not curious ... | Paul is not brave. | entailment | (![X]:((~tall(X)<~>humble(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|kind(X))<=>wise(X)))&
((?[X]:((humble(X)|~creative(X))))<=>(~wise(fred)))&
(((creative(paul)<~>~humble(paul)))<=>(?[X]:(~tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>((quiet(susan)|~quiet(susan))))&
(![X]:((funny(X)|generous(X))=>kind(X)))&
((?... | ~brave(paul) | [
"p7",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8058159405448070903523990
% SZS output start Proof for 8058159405448070903523990
8. ! [X0] : ((~curious(X0) | ~brave(X0)) <=> (quiet(X0) | humble(X0))) [input p7]
10. ! [X0] : (~humble(X0) <=> (tall(X0) | patient(X0))) [input p9]
15. ! [X0] : ((curious(X0) & ~humble(X0)) <=> quiet(X0)) [i... | 0 |
If alice is humble then someone is both rich and not generous and vice versa.
Everyone who is not curious or not brave is not calm or wise and vice versa.
If someone is both funny and not kind then susan is both kind and calm.
Everyone who is both tall and not tall is not old and vice versa.
If mary is both humble and ... | Alice is happy. | neutral | ((humble(alice))<=>(?[X]:((rich(X)&~generous(X)))))&
(![X]:((~curious(X)|~brave(X))<=>(~calm(X)|wise(X))))&
((?[X]:((funny(X)&~kind(X))))=>((kind(susan)&calm(susan))))&
(![X]:((tall(X)&~tall(X))<=>~old(X)))&
(((humble(mary)&~brave(mary)))<=>((~humble(susan)|~funny(susan))))&
(((~tall(paul)|generous(paul)))=>((wise(susa... | happy(alice) | [] | null | 0 |
If someone is both not kind and not tall then fred is tall and vice versa. Everyone who is either kind or strong is not happy. Everyone who is humble or not brave is both wise and not brave and vice versa. If susan is old or tall then mary is quiet or not kind. Everyone who is wise or curious is either generous or not ... | Susan is not curious. | contradiction | ((?[X]:((~kind(X)&~tall(X))))<=>(tall(fred)))&
(![X]:((kind(X)<~>strong(X))=>~happy(X)))&
(![X]:((humble(X)|~brave(X))<=>(wise(X)&~brave(X))))&
(((old(susan)|tall(susan)))=>((quiet(mary)|~kind(mary))))&
(![X]:((wise(X)|curious(X))=>(generous(X)<~>~happy(X))))&
((?[X]:((humble(X)<~>~quiet(X))))=>(~curious(lucy)))&
((?[X... | ~curious(susan) | [
"p2",
"p10",
"p11",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 193953783132546398371753
% SZS output start Proof for 193953783132546398371753
3. ! [X0] : ((~brave(X0) | humble(X0)) <=> (~brave(X0) & wise(X0))) [input p2]
11. ! [X0] : ((curious(X0) & humble(X0)) <=> (old(X0) <~> patient(X0))) [input p10]
12. (happy(paul) & ~quiet(paul)) <=> (patient(s... | 0 |
Everyone who is wise is not quiet or not humble.
If alice is both not generous and kind then someone is patient.
If susan is patient then someone is not rich.
If someone is either creative or not calm then lucy is both happy and generous and vice versa.
Everyone who is not quiet or creative is either humble or not humb... | Alice is humble. | contradiction | (![X]:(wise(X)=>(~quiet(X)|~humble(X))))&
(((~generous(alice)&kind(alice)))=>(?[X]:(patient(X))))&
((patient(susan))=>(?[X]:(~rich(X))))&
((?[X]:((creative(X)<~>~calm(X))))<=>((happy(lucy)&generous(lucy))))&
(![X]:((~quiet(X)|creative(X))<=>(humble(X)<~>~humble(X))))&
(![X]:((happy(X)|humble(X))=>(~humble(X)&~strong(X)... | humble(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6815834521605662863803002
% SZS output start Proof for 6815834521605662863803002
6. ! [X0] : ((humble(X0) | happy(X0)) => (~strong(X0) & ~humble(X0))) [input p5]
25. humble(alice) [input hypothesis]
34. ! [X0] : ((~strong(X0) & ~humble(X0)) | (~humble(X0) & ~happy(X0))) [ennf transformati... | 0 |
Everyone who is both patient and happy is happy or wise and vice versa. If alice is tall or not rich then someone is either not brave or not wise and vice versa. If paul is both brave and tall then someone is both happy and not curious and vice versa. If susan is not old then fred is not wise or not old. Everyone who i... | Paul is old. | neutral | (![X]:((patient(X)&happy(X))<=>(happy(X)|wise(X))))&
(((tall(alice)|~rich(alice)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(((brave(paul)&tall(paul)))<=>(?[X]:((happy(X)&~curious(X)))))&
((~old(susan))=>((~wise(fred)|~old(fred))))&
(![X]:((humble(X)<~>rich(X))<=>~quiet(X)))&
((?[X]:((~rich(X)&brave(X))))=>(?[X]:((old(X)|ri... | old(paul) | [] | null | 0 |
If someone is curious or not old then someone is not humble or kind and vice versa.
Everyone who is both humble and calm is not tall or not brave and vice versa.
Everyone who is either kind or not patient is not wise or not strong and vice versa.
Everyone who is not quiet or old is both patient and happy and vice versa... | Susan is wise. | neutral | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((humble(X)&calm(X))<=>(~tall(X)|~brave(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(~wise(X)|~strong(X))))&
(![X]:((~quiet(X)|old(X))<=>(patient(X)&happy(X))))&
((?[X]:((~funny(X)|generous(X))))<=>((quiet(alice)|~rich(alice))))&
((~curious(lucy))=>((hu... | wise(susan) | [] | null | 0 |
If someone is both strong and patient then someone is both happy and kind and vice versa.
If someone is either not calm or strong then lucy is generous or tall.
If someone is either not creative or creative then someone is both not kind and not creative.
Everyone who is both not quiet and not funny is not humble and vi... | Susan is not wise. | neutral | ((?[X]:((strong(X)&patient(X))))<=>(?[X]:((happy(X)&kind(X)))))&
((?[X]:((~calm(X)<~>strong(X))))=>((generous(lucy)|tall(lucy))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:((~quiet(X)&~funny(X))<=>~humble(X)))&
(![X]:(patient(X)=>(brave(X)|~patient(X))))&
(![X]:((calm(X)&happy(X)... | ~wise(susan) | [] | null | 0 |
Everyone who is both creative and not brave is both tall and not curious and vice versa.
Everyone who is not creative or strong is either not funny or generous.
Everyone who is happy or calm is both not old and generous and vice versa.
Everyone who is either not tall or generous is either not funny or calm.
If someone ... | Alice is generous. | entailment | (![X]:((creative(X)&~brave(X))<=>(tall(X)&~curious(X))))&
(![X]:((~creative(X)|strong(X))=>(~funny(X)<~>generous(X))))&
(![X]:((happy(X)|calm(X))<=>(~old(X)&generous(X))))&
(![X]:((~tall(X)<~>generous(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((~rich(X)&~kind(X))))=>(?[X]:(rich(X))))&
(![X]:((~curious(X)|patient(X))=>(wise(... | generous(alice) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 253017498165948647136604
% SZS output start Proof for 253017498165948647136604
3. ! [X0] : ((calm(X0) | happy(X0)) <=> (generous(X0) & ~old(X0))) [input p2]
19. happy(alice) [input p18]
24. ~generous(alice) [input hypothesis]
40. ! [X0] : (((calm(X0) | happy(X0)) | (~generous(X0) | old(X0... | 0 |
Everyone who is both not old and not happy is not humble or tall and vice versa.
If alice is strong then alice is humble and vice versa.
Everyone who is both wise and creative is patient and vice versa.
If someone is kind or not tall then fred is both not patient and quiet.
Everyone who is both creative and strong is e... | Alice is patient. | neutral | (![X]:((~old(X)&~happy(X))<=>(~humble(X)|tall(X))))&
((strong(alice))<=>(humble(alice)))&
(![X]:((wise(X)&creative(X))<=>patient(X)))&
((?[X]:((kind(X)|~tall(X))))=>((~patient(fred)&quiet(fred))))&
(![X]:((creative(X)&strong(X))<=>(~calm(X)<~>~strong(X))))&
(((brave(susan)<~>calm(susan)))=>(?[X]:(~humble(X))))&
(![X]:(... | patient(alice) | [] | null | 0 |
If john is wise or tall then someone is both not wise and humble and vice versa. If someone is not quiet then fred is old. Everyone who is either not curious or not happy is brave. If john is both not wise and old then someone is calm or not patient and vice versa. Everyone who is either brave or not brave is both gene... | John is not wise. | entailment | (((wise(john)|tall(john)))<=>(?[X]:((~wise(X)&humble(X)))))&
((?[X]:(~quiet(X)))=>(old(fred)))&
(![X]:((~curious(X)<~>~happy(X))=>brave(X)))&
(((~wise(john)&old(john)))<=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((brave(X)<~>~brave(X))=>(generous(X)&curious(X))))&
((?[X]:((~wise(X)<~>humble(X))))<=>(?[X]:((wise(X)|quiet(... | ~wise(john) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2716370372022926515494722
% SZS output start Proof for 2716370372022926515494722
4. (old(john) & ~wise(john)) <=> ? [X0] : (~patient(X0) | calm(X0)) [input p3]
21. calm(paul) & patient(paul) [input p20]
25. wise(john) [input hypothesis]
47. ((old(john) & ~wise(john)) | ! [X0] : (patient(X... | 0 |
Everyone who is both funny and not happy is both generous and not strong and vice versa.
If fred is both quiet and generous then paul is quiet or tall and vice versa.
Everyone who is either not kind or not strong is both happy and not old and vice versa.
Everyone who is not old or brave is funny and vice versa.
If some... | John is not tall. | neutral | (![X]:((funny(X)&~happy(X))<=>(generous(X)&~strong(X))))&
(((quiet(fred)&generous(fred)))<=>((quiet(paul)|tall(paul))))&
(![X]:((~kind(X)<~>~strong(X))<=>(happy(X)&~old(X))))&
(![X]:((~old(X)|brave(X))<=>funny(X)))&
((?[X]:((~brave(X)|~curious(X))))<=>((~wise(john)<~>~patient(john))))&
(![X]:(wise(X)<=>(~wise(X)&~quiet... | ~tall(john) | [] | null | 0 |
If someone is not curious or not happy then john is both old and curious.
Everyone who is strong is not tall or old.
Everyone who is both old and not quiet is both not humble and strong and vice versa.
Everyone who is either old or not happy is wise or not brave.
Everyone who is both not generous and not strong is old ... | Susan is strong. | contradiction | ((?[X]:((~curious(X)|~happy(X))))=>((old(john)&curious(john))))&
(![X]:(strong(X)=>(~tall(X)|old(X))))&
(![X]:((old(X)&~quiet(X))<=>(~humble(X)&strong(X))))&
(![X]:((old(X)<~>~happy(X))=>(wise(X)|~brave(X))))&
(![X]:((~generous(X)&~strong(X))<=>old(X)))&
(((creative(susan)|~creative(susan)))<=>((~tall(lucy)<~>happy(luc... | strong(susan) | [
"p2",
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8782863222557795166172431
% SZS output start Proof for 8782863222557795166172431
3. ! [X0] : ((~quiet(X0) & old(X0)) <=> (strong(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((~strong(X0) & ~generous(X0)) <=> old(X0)) [input p4]
18. ~humble(susan) [input p17]
25. strong(susan) [input hypoth... | 0 |
Everyone who is both calm and not strong is old and vice versa.
If fred is not quiet or not funny then alice is either not happy or quiet.
Everyone who is either curious or not calm is not wise.
Everyone who is both not old and old is either strong or not humble.
Everyone who is either not strong or strong is not creat... | Fred is patient. | contradiction | (![X]:((calm(X)&~strong(X))<=>old(X)))&
(((~quiet(fred)|~funny(fred)))=>((~happy(alice)<~>quiet(alice))))&
(![X]:((curious(X)<~>~calm(X))=>~wise(X)))&
(![X]:((~old(X)&old(X))=>(strong(X)<~>~humble(X))))&
(![X]:((~strong(X)<~>strong(X))<=>~creative(X)))&
(![X]:(kind(X)=>(~kind(X)|humble(X))))&
(![X]:((creative(X)<~>~qui... | patient(fred) | [
"p0",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 172972014434084084366620
% SZS output start Proof for 172972014434084084366620
1. ! [X0] : ((~strong(X0) & calm(X0)) <=> old(X0)) [input p0]
10. ? [X0] : patient(X0) => (wise(alice) & old(alice)) [input p9]
12. ? [X0] : (~kind(X0) | kind(X0)) => ~calm(alice) [input p11]
24. patient(fred) ... | 0 |
If lucy is rich then someone is old or not generous.
If john is either kind or not patient then someone is tall or curious.
If lucy is creative then fred is either not happy or not creative and vice versa.
Everyone who is either not quiet or humble is not humble or curious and vice versa.
If fred is either creative or ... | Paul is brave. | contradiction | ((rich(lucy))=>(?[X]:((old(X)|~generous(X)))))&
(((kind(john)<~>~patient(john)))=>(?[X]:((tall(X)|curious(X)))))&
((creative(lucy))<=>((~happy(fred)<~>~creative(fred))))&
(![X]:((~quiet(X)<~>humble(X))<=>(~humble(X)|curious(X))))&
(((creative(fred)<~>rich(fred)))=>(~creative(fred)))&
((?[X]:((happy(X)|patient(X))))=>(?... | brave(paul) | [
"p3",
"p11",
"p12",
"p14",
"p15",
"p16",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8169110592620001764234287
% SZS output start Proof for 8169110592620001764234287
4. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (curious(X0) | ~humble(X0))) [input p3]
12. ! [X0] : ((kind(X0) <~> quiet(X0)) => ~tall(X0)) [input p11]
13. ! [X0] : ((wise(X0) | ~old(X0)) <=> (~curious(X0) | ~q... | 0 |
If alice is both brave and kind then someone is patient and vice versa.
Everyone who is both wise and generous is strong or not strong.
Everyone who is either not funny or quiet is generous.
If someone is not funny or not humble then someone is not happy and vice versa.
Everyone who is not kind or old is both not tall ... | Alice is not patient. | entailment | (((brave(alice)&kind(alice)))<=>(?[X]:(patient(X))))&
(![X]:((wise(X)&generous(X))=>(strong(X)|~strong(X))))&
(![X]:((~funny(X)<~>quiet(X))=>generous(X)))&
((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|old(X))=>(~tall(X)&curious(X))))&
(((generous(alice)<~>~patient(alice)))=>(?[X]:((tall(X)<~... | ~patient(alice) | [
"p7",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7602670608964612403685445
% SZS output start Proof for 7602670608964612403685445
8. ! [X0] : ((~old(X0) & patient(X0)) => ~kind(X0)) [input p7]
10. ! [X0] : ((kind(X0) & ~old(X0)) <=> (~generous(X0) | happy(X0))) [input p9]
11. ? [X0] : (~quiet(X0) & ~patient(X0)) <=> ? [X0] : old(X0) [in... | 0 |
Everyone who is either rich or curious is either happy or not humble.
If john is curious then someone is both curious and not tall and vice versa.
Everyone who is both humble and not curious is not tall.
If mary is curious then someone is calm.
Everyone who is not funny is either not kind or not wise and vice versa.
If... | Mary is strong. | contradiction | (![X]:((rich(X)<~>curious(X))=>(happy(X)<~>~humble(X))))&
((curious(john))<=>(?[X]:((curious(X)&~tall(X)))))&
(![X]:((humble(X)&~curious(X))=>~tall(X)))&
((curious(mary))=>(?[X]:(calm(X))))&
(![X]:(~funny(X)<=>(~kind(X)<~>~wise(X))))&
((?[X]:((~patient(X)|~wise(X))))<=>(?[X]:(funny(X))))&
(![X]:((~humble(X)|happy(X))=>... | strong(mary) | [
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7340044835871924985117667
% SZS output start Proof for 7340044835871924985117667
16. ! [X0] : ((~kind(X0) & ~strong(X0)) <=> (~kind(X0) | patient(X0))) [input p15]
18. ~patient(mary) & ~kind(mary) [input p17]
25. strong(mary) [input hypothesis]
68. ! [X0] : (((~kind(X0) & ~strong(X0)) | (... | 0 |
If someone is creative then mary is patient.
Everyone who is both not quiet and not old is either rich or wise.
Everyone who is both wise and curious is not creative or creative and vice versa.
If alice is strong then someone is not wise.
Everyone who is either not wise or not tall is not kind or kind.
Everyone who is ... | Mary is old. | neutral | ((?[X]:(creative(X)))=>(patient(mary)))&
(![X]:((~quiet(X)&~old(X))=>(rich(X)<~>wise(X))))&
(![X]:((wise(X)&curious(X))<=>(~creative(X)|creative(X))))&
((strong(alice))=>(?[X]:(~wise(X))))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)|kind(X))))&
(![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((curious(X)&... | old(mary) | [] | null | 0 |
If someone is not happy then someone is either not humble or quiet and vice versa. Everyone who is either quiet or not strong is rich or not generous. If someone is either not generous or not kind then susan is either not old or patient and vice versa. If mary is patient or humble then someone is not generous and vice ... | Alice is humble. | contradiction | ((?[X]:(~happy(X)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:((quiet(X)<~>~strong(X))=>(rich(X)|~generous(X))))&
((?[X]:((~generous(X)<~>~kind(X))))<=>((~old(susan)<~>patient(susan))))&
(((patient(mary)|humble(mary)))<=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)|strong(X))<=>(~patient(X)|~humble(X))))&
(![X]:((patient... | humble(alice) | [
"p4",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6065223627809830063721395
% SZS output start Proof for 6065223627809830063721395
5. ! [X0] : ((strong(X0) | ~funny(X0)) <=> (~humble(X0) | ~patient(X0))) [input p4]
7. ? [X0] : generous(X0) <=> ? [X0] : (creative(X0) & ~creative(X0)) [input p6]
9. (patient(susan) & generous(susan)) <=> (~... | 0 |
Everyone who is either creative or happy is either rich or patient.
Everyone who is both not generous and curious is humble.
Everyone who is quiet is humble.
Everyone who is not funny or not patient is not patient or not curious and vice versa.
Everyone who is strong is either old or rich and vice versa.
If susan is no... | Lucy is not humble. | contradiction | (![X]:((creative(X)<~>happy(X))=>(rich(X)<~>patient(X))))&
(![X]:((~generous(X)&curious(X))=>humble(X)))&
(![X]:(quiet(X)=>humble(X)))&
(![X]:((~funny(X)|~patient(X))<=>(~patient(X)|~curious(X))))&
(![X]:(strong(X)<=>(old(X)<~>rich(X))))&
((~calm(susan))=>(brave(john)))&
(![X]:((~quiet(X)|creative(X))<=>(~tall(X)<~>~cr... | ~humble(lucy) | [
"p1",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7185840070436971719984403
% SZS output start Proof for 7185840070436971719984403
2. ! [X0] : ((curious(X0) & ~generous(X0)) => humble(X0)) [input p1]
11. ! [X0] : ((curious(X0) & ~brave(X0)) <=> ~tall(X0)) [input p10]
16. ! [X0] : ((~strong(X0) | strong(X0)) <=> (~tall(X0) | patient(X0)))... | 0 |
If someone is generous then john is not calm and vice versa.
Everyone who is both generous and quiet is old and vice versa.
Everyone who is not kind is not strong and vice versa.
If someone is not generous then lucy is happy or not quiet and vice versa.
If susan is both not old and creative then john is humble or not o... | Lucy is quiet. | neutral | ((?[X]:(generous(X)))<=>(~calm(john)))&
(![X]:((generous(X)&quiet(X))<=>old(X)))&
(![X]:(~kind(X)<=>~strong(X)))&
((?[X]:(~generous(X)))<=>((happy(lucy)|~quiet(lucy))))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>(wise(X)|~patient(X))))&
(![X]:((~creative(X)|~humble(... | quiet(lucy) | [] | null | 0 |
Everyone who is either not curious or rich is calm and vice versa.
If someone is not creative then someone is either patient or not humble.
Everyone who is rich is both not rich and not creative.
If someone is both not rich and wise then someone is brave or happy.
If someone is generous or rich then someone is both not... | Lucy is not quiet. | neutral | (![X]:((~curious(X)<~>rich(X))<=>calm(X)))&
((?[X]:(~creative(X)))=>(?[X]:((patient(X)<~>~humble(X)))))&
(![X]:(rich(X)=>(~rich(X)&~creative(X))))&
((?[X]:((~rich(X)&wise(X))))=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:((generous(X)|rich(X))))=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:(generous(X)))=>((~generous(lucy)&~funny(l... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both not tall and generous is either not calm or not quiet. If someone is either not humble or not tall then someone is either not creative or not old. If paul is either old or wise then someone is wise or humble. Everyone who is not brave or not wise is both not rich and generous and vice versa. If som... | Lucy is curious. | neutral | (![X]:((~tall(X)&generous(X))=>(~calm(X)<~>~quiet(X))))&
((?[X]:((~humble(X)<~>~tall(X))))=>(?[X]:((~creative(X)<~>~old(X)))))&
(((old(paul)<~>wise(paul)))=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~brave(X)|~wise(X))<=>(~rich(X)&generous(X))))&
((?[X]:((generous(X)|~wise(X))))<=>(?[X]:(rich(X))))&
((?[X]:((~patient(X)&~... | curious(lucy) | [] | null | 0 |
Everyone who is not generous is both not tall and not funny and vice versa.
Everyone who is not tall is not patient or not tall.
Everyone who is brave is kind or not kind and vice versa.
If mary is not patient then someone is happy or not old and vice versa.
Everyone who is both not tall and happy is not tall and vice ... | Paul is kind. | entailment | (![X]:(~generous(X)<=>(~tall(X)&~funny(X))))&
(![X]:(~tall(X)=>(~patient(X)|~tall(X))))&
(![X]:(brave(X)<=>(kind(X)|~kind(X))))&
((~patient(mary))<=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((~tall(X)&happy(X))<=>~tall(X)))&
(![X]:(~curious(X)=>(tall(X)<~>curious(X))))&
(![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(... | kind(paul) | [
"p6",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 702088461218787207778063
% SZS output start Proof for 702088461218787207778063
7. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p6]
11. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p10]
13. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> h... | 0 |
Everyone who is either humble or not creative is not humble.
Everyone who is either patient or wise is not tall.
Everyone who is both brave and not brave is either not rich or not creative and vice versa.
Everyone who is either quiet or not humble is not brave.
If alice is not curious then mary is not tall and vice ver... | Alice is calm. | neutral | (![X]:((humble(X)<~>~creative(X))=>~humble(X)))&
(![X]:((patient(X)<~>wise(X))=>~tall(X)))&
(![X]:((brave(X)&~brave(X))<=>(~rich(X)<~>~creative(X))))&
(![X]:((quiet(X)<~>~humble(X))=>~brave(X)))&
((~curious(alice))<=>(~tall(mary)))&
(![X]:((kind(X)<~>funny(X))<=>(~humble(X)|wise(X))))&
(![X]:(~brave(X)=>(quiet(X)&wise(... | calm(alice) | [] | null | 0 |
If paul is either happy or not humble then someone is either kind or not curious. Everyone who is either tall or not patient is strong or tall and vice versa. If mary is both not brave and humble then john is both funny and not old and vice versa. If lucy is both tall and wise then someone is both calm and creative and... | Paul is not tall. | neutral | (((happy(paul)<~>~humble(paul)))=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>~patient(X))<=>(strong(X)|tall(X))))&
(((~brave(mary)&humble(mary)))<=>((funny(john)&~old(john))))&
(((tall(lucy)&wise(lucy)))<=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((kind(X)<~>wise(X))))=>((curious(paul)<~>~creative(paul))))&
((... | ~tall(paul) | [] | null | 0 |
If someone is either not kind or not rich then mary is both not brave and not humble.
Everyone who is both humble and not curious is not generous or not calm and vice versa.
Everyone who is not curious is old or not kind and vice versa.
Everyone who is not humble is strong.
If john is either not creative or not kind th... | John is not brave. | contradiction | ((?[X]:((~kind(X)<~>~rich(X))))=>((~brave(mary)&~humble(mary))))&
(![X]:((humble(X)&~curious(X))<=>(~generous(X)|~calm(X))))&
(![X]:(~curious(X)<=>(old(X)|~kind(X))))&
(![X]:(~humble(X)=>strong(X)))&
(((~creative(john)<~>~kind(john)))=>((~quiet(fred)&old(fred))))&
(![X]:((~happy(X)|patient(X))=>generous(X)))&
(![X]:((r... | ~brave(john) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4840553238848426553741246
% SZS output start Proof for 4840553238848426553741246
3. ! [X0] : (~curious(X0) <=> (~kind(X0) | old(X0))) [input p2]
5. (~creative(john) <~> ~kind(john)) => (old(fred) & ~quiet(fred)) [input p4]
8. ! [X0] : ((~brave(X0) | ~strong(X0)) => (wise(X0) & funny(X0)))... | 0 |
If someone is either calm or not quiet then john is not kind and vice versa.
Everyone who is either not brave or not funny is either not kind or not humble and vice versa.
If someone is not creative or not tall then lucy is not funny or not old.
Everyone who is not creative is either not curious or generous and vice ve... | Susan is not old. | contradiction | ((?[X]:((calm(X)<~>~quiet(X))))<=>(~kind(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((~creative(X)|~tall(X))))=>((~funny(lucy)|~old(lucy))))&
(![X]:(~creative(X)<=>(~curious(X)<~>generous(X))))&
(((wise(mary)|~creative(mary)))=>((~curious(mary)<~>~old(mary))))&
(((humble(john)&patient(j... | ~old(susan) | [
"p6",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 865308782194735764496548
% SZS output start Proof for 865308782194735764496548
7. ! [X0] : ((tall(X0) | ~rich(X0)) => (funny(X0) & ~quiet(X0))) [input p6]
10. ! [X0] : (rich(X0) => (~wise(X0) & ~kind(X0))) [input p9]
12. ! [X0] : ((funny(X0) | strong(X0)) <=> kind(X0)) [input p11]
13. ! [... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Alice is patient. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | patient(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5821254406960318091697118
% SZS output start Proof for 5821254406960318091697118
7. ! [X0] : ((~patient(X0) | happy(X0)) => patient(X0)) [input p6]
23. ~patient(alice) [input hypothesis]
30. ! [X0] : (patient(X0) | (patient(X0) & ~happy(X0))) [ennf transformation 7]
105. patient(X0) | pat... | 0 |
Everyone who is not patient or quiet is either not quiet or generous. Everyone who is either not happy or not calm is either not wise or patient and vice versa. If someone is either not calm or quiet then lucy is not rich. If someone is patient then someone is both not tall and not old. If fred is either not funny or n... | Susan is happy. | entailment | (![X]:((~patient(X)|quiet(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>(~wise(X)<~>patient(X))))&
((?[X]:((~calm(X)<~>quiet(X))))=>(~rich(lucy)))&
((?[X]:(patient(X)))=>(?[X]:((~tall(X)&~old(X)))))&
(((~funny(fred)<~>~strong(fred)))=>(?[X]:((patient(X)&~funny(X)))))&
((?[X]:((~old(X)&creative(X))))... | happy(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8944735485880397627642412
% SZS output start Proof for 8944735485880397627642412
9. ? [X0] : (~curious(X0) & curious(X0)) <=> ? [X0] : (~old(X0) | ~happy(X0)) [input p8]
23. ~happy(susan) [input hypothesis]
25. ? [X0] : (~curious(X0) & curious(X0)) <=> ? [X1] : (~old(X1) | ~happy(X1)) [re... | 0 |
Everyone who is kind or calm is not patient or not wise.
If lucy is generous or not strong then someone is both brave and not brave.
Everyone who is either not quiet or not generous is not generous or not happy and vice versa.
If lucy is happy or patient then paul is either calm or not strong.
Everyone who is not calm ... | Lucy is not generous. | entailment | (![X]:((kind(X)|calm(X))=>(~patient(X)|~wise(X))))&
(((generous(lucy)|~strong(lucy)))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(~generous(X)|~happy(X))))&
(((happy(lucy)|patient(lucy)))=>((calm(paul)<~>~strong(paul))))&
(![X]:((~calm(X)|tall(X))=>(~calm(X)<~>calm(X))))&
(((rich(paul)<~>brave... | ~generous(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8858596073967929476974277
% SZS output start Proof for 8858596073967929476974277
2. (~strong(lucy) | generous(lucy)) => ? [X0] : (~brave(X0) & brave(X0)) [input p1]
25. generous(lucy) [input hypothesis]
32. ? [X0] : (~brave(X0) & brave(X0)) | (strong(lucy) & ~generous(lucy)) [ennf transfo... | 0 |
Everyone who is not quiet is both not rich and not strong and vice versa.
Everyone who is patient or strong is strong and vice versa.
If someone is both creative and not happy then someone is not old and vice versa.
If someone is both not humble and quiet then lucy is rich and vice versa.
Everyone who is old is not tal... | Susan is not happy. | contradiction | (![X]:(~quiet(X)<=>(~rich(X)&~strong(X))))&
(![X]:((patient(X)|strong(X))<=>strong(X)))&
((?[X]:((creative(X)&~happy(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~humble(X)&quiet(X))))<=>(rich(lucy)))&
(![X]:(old(X)<=>~tall(X)))&
((?[X]:(~generous(X)))<=>(?[X]:((old(X)&~brave(X)))))&
(((patient(john)|curious(john)))<=>(?[X]:((p... | ~happy(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7915084887485614937177973
% SZS output start Proof for 7915084887485614937177973
21. happy(susan) [input p20]
25. ~happy(susan) [input hypothesis]
129. happy(susan) [cnf transformation 21]
135. ~happy(susan) [cnf transformation 25]
286. $false [subsumption resolution 135,129]
% SZS output... | 0 |
If someone is not quiet or humble then someone is kind or happy.
Everyone who is not tall or not brave is either wise or not generous.
Everyone who is tall or wise is not happy.
If someone is either wise or happy then fred is not curious.
Everyone who is both not tall and not kind is not funny.
Everyone who is curious ... | Lucy is not wise. | entailment | ((?[X]:((~quiet(X)|humble(X))))=>(?[X]:((kind(X)|happy(X)))))&
(![X]:((~tall(X)|~brave(X))=>(wise(X)<~>~generous(X))))&
(![X]:((tall(X)|wise(X))=>~happy(X)))&
((?[X]:((wise(X)<~>happy(X))))=>(~curious(fred)))&
(![X]:((~tall(X)&~kind(X))=>~funny(X)))&
(![X]:(curious(X)=>(wise(X)|happy(X))))&
(![X]:((~strong(X)<~>tall(X)... | ~wise(lucy) | [
"p1",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6362768066026008602142161
% SZS output start Proof for 6362768066026008602142161
2. ! [X0] : ((~brave(X0) | ~tall(X0)) => (wise(X0) <~> ~generous(X0))) [input p1]
3. ! [X0] : ((wise(X0) | tall(X0)) => ~happy(X0)) [input p2]
7. ! [X0] : ((~strong(X0) <~> tall(X0)) <=> (~happy(X0) | ~rich(X... | 0 |
Everyone who is old is either rich or funny and vice versa.
If paul is funny then someone is rich or not rich and vice versa.
Everyone who is either strong or not strong is both not old and generous and vice versa.
Everyone who is either not funny or not calm is either not tall or generous and vice versa.
Everyone who ... | Lucy is not patient. | neutral | (![X]:(old(X)<=>(rich(X)<~>funny(X))))&
((funny(paul))<=>(?[X]:((rich(X)|~rich(X)))))&
(![X]:((strong(X)<~>~strong(X))<=>(~old(X)&generous(X))))&
(![X]:((~funny(X)<~>~calm(X))<=>(~tall(X)<~>generous(X))))&
(![X]:(~strong(X)=>(~old(X)|strong(X))))&
(![X]:((~wise(X)<~>old(X))=>(strong(X)|~calm(X))))&
(![X]:(~wise(X)=>(~f... | ~patient(lucy) | [] | null | 0 |
If lucy is both not quiet and not curious then susan is both kind and not brave. If someone is either strong or happy then lucy is not happy and vice versa. Everyone who is both kind and not rich is either wise or quiet. Everyone who is creative or not rich is kind or not humble. If alice is either not generous or wise... | Mary is kind. | contradiction | (((~quiet(lucy)&~curious(lucy)))=>((kind(susan)&~brave(susan))))&
((?[X]:((strong(X)<~>happy(X))))<=>(~happy(lucy)))&
(![X]:((kind(X)&~rich(X))=>(wise(X)<~>quiet(X))))&
(![X]:((creative(X)|~rich(X))=>(kind(X)|~humble(X))))&
(((~generous(alice)<~>wise(alice)))=>(?[X]:((old(X)<~>~brave(X)))))&
((?[X]:(creative(X)))=>((hu... | kind(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 630733221550077791261589
% SZS output start Proof for 630733221550077791261589
15. ? [X0] : (kind(X0) | ~old(X0)) => ? [X0] : (kind(X0) & ~kind(X0)) [input p14]
25. kind(mary) [input hypothesis]
27. ? [X0] : (kind(X0) | ~old(X0)) => ? [X1] : (kind(X1) & ~kind(X1)) [rectify 15]
42. ? [X1] ... | 0 |
Everyone who is humble or kind is rich and vice versa. Everyone who is either not humble or not calm is both quiet and patient. If john is rich then lucy is either old or brave. If someone is both not tall and not old then lucy is not generous or wise. Everyone who is wise is both old and kind and vice versa. Everyone ... | Susan is rich. | neutral | (![X]:((humble(X)|kind(X))<=>rich(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(quiet(X)&patient(X))))&
((rich(john))=>((old(lucy)<~>brave(lucy))))&
((?[X]:((~tall(X)&~old(X))))=>((~generous(lucy)|wise(lucy))))&
(![X]:(wise(X)<=>(old(X)&kind(X))))&
(![X]:(~strong(X)<=>(~rich(X)&brave(X))))&
(![X]:((brave(X)<~>~happy(X))=>tall... | rich(susan) | [] | null | 0 |
Everyone who is humble is either wise or not creative and vice versa. If someone is either not humble or calm then someone is happy or not creative. If someone is not strong then susan is not funny or kind and vice versa. If someone is both old and not humble then mary is not tall or happy. Everyone who is old or kind ... | Fred is not kind. | entailment | (![X]:(humble(X)<=>(wise(X)<~>~creative(X))))&
((?[X]:((~humble(X)<~>calm(X))))=>(?[X]:((happy(X)|~creative(X)))))&
((?[X]:(~strong(X)))<=>((~funny(susan)|kind(susan))))&
((?[X]:((old(X)&~humble(X))))=>((~tall(mary)|happy(mary))))&
(![X]:((old(X)|kind(X))<=>(~curious(X)<~>patient(X))))&
(![X]:((~patient(X)|~wise(X))=>~... | ~kind(fred) | [
"p4",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 23987679150004805307354
% SZS output start Proof for 23987679150004805307354
5. ! [X0] : ((kind(X0) | old(X0)) <=> (~curious(X0) <~> patient(X0))) [input p4]
7. ! [X0] : ((patient(X0) & curious(X0)) => (~curious(X0) | old(X0))) [input p6]
9. ! [X0] : ((~brave(X0) & patient(X0)) <=> (quiet... | 0 |
Everyone who is not humble or not funny is not strong and vice versa. Everyone who is not rich or not creative is both generous and patient and vice versa. Everyone who is either not happy or not brave is both not curious and old. Everyone who is funny is rich and vice versa. Everyone who is not happy is not wise. Ever... | Paul is not patient. | entailment | (![X]:((~humble(X)|~funny(X))<=>~strong(X)))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(~happy(X)=>~wise(X)))&
(![X]:((~happy(X)|~quiet(X))<=>(brave(X)&~old(X))))&
((?[X]:(~tall(X)))<=>((~generous(lucy)<~>~ric... | ~patient(paul) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5111305838169937934379011
% SZS output start Proof for 5111305838169937934379011
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> ~strong(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (patient(X0) & generous(X0))) [input p1]
4. ! [X0] : (funny(X0) <=> rich(X0)) [input p3]
6. ! [... | 0 |
If fred is calm or kind then someone is either not patient or not humble.
Everyone who is not brave or patient is not brave and vice versa.
Everyone who is not old or not quiet is either not brave or not quiet.
Everyone who is either creative or generous is not wise and vice versa.
If susan is either not curious or wis... | Alice is curious. | contradiction | (((calm(fred)|kind(fred)))=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((~brave(X)|patient(X))<=>~brave(X)))&
(![X]:((~old(X)|~quiet(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:((creative(X)<~>generous(X))<=>~wise(X)))&
(((~curious(susan)<~>wise(susan)))<=>(?[X]:((creative(X)<~>tall(X)))))&
((?[X]:((brave(X)<~>~brave(X))))=... | curious(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3783578704421909140492377
% SZS output start Proof for 3783578704421909140492377
24. ~curious(alice) & ~calm(alice) [input p23]
25. curious(alice) [input hypothesis]
151. ~curious(alice) [cnf transformation 24]
152. curious(alice) [cnf transformation 25]
270. 25 <=> curious(alice) [avatar... | 0 |
Everyone who is curious or not brave is both not creative and old. Everyone who is either brave or not strong is both not patient and patient and vice versa. Everyone who is not tall or not wise is both happy and not creative and vice versa. If lucy is patient or not generous then alice is not old or wise. Everyone who... | Paul is happy. | entailment | (![X]:((curious(X)|~brave(X))=>(~creative(X)&old(X))))&
(![X]:((brave(X)<~>~strong(X))<=>(~patient(X)&patient(X))))&
(![X]:((~tall(X)|~wise(X))<=>(happy(X)&~creative(X))))&
(((patient(lucy)|~generous(lucy)))=>((~old(alice)|wise(alice))))&
(![X]:((~funny(X)|~creative(X))=>(old(X)<~>~quiet(X))))&
(![X]:((~calm(X)&~genero... | happy(paul) | [
"p0",
"p1",
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 672579663002466608879012
% SZS output start Proof for 672579663002466608879012
1. ! [X0] : ((~brave(X0) | curious(X0)) => (old(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (patient(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) <=> (~... | 0 |
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