premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either curious or not old is both rich and not quiet. Everyone who is strong is not patient and vice versa. Everyone who is either patient or rich is not strong or not happy. Everyone who is either not kind or kind is generous or not curious and vice versa. Everyone who is either not creative or not qui... | John is generous. | neutral | (![X]:((curious(X)<~>~old(X))=>(rich(X)&~quiet(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:((patient(X)<~>rich(X))=>(~strong(X)|~happy(X))))&
(![X]:((~kind(X)<~>kind(X))<=>(generous(X)|~curious(X))))&
(![X]:((~creative(X)<~>~quiet(X))=>~funny(X)))&
((quiet(john))=>(?[X]:(humble(X))))&
(![X]:((strong(X)<~>curious(X))... | generous(john) | [] | null | 0 |
If fred is not funny or not creative then someone is both not calm and not old.
Everyone who is not curious or not generous is not tall and vice versa.
Everyone who is brave or not wise is either happy or patient and vice versa.
Everyone who is not creative or old is both humble and calm.
If susan is both not humble an... | Fred is funny. | entailment | (((~funny(fred)|~creative(fred)))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((~curious(X)|~generous(X))<=>~tall(X)))&
(![X]:((brave(X)|~wise(X))<=>(happy(X)<~>patient(X))))&
(![X]:((~creative(X)|old(X))=>(humble(X)&calm(X))))&
(((~humble(susan)&~wise(susan)))=>(rich(john)))&
(![X]:((strong(X)|humble(X))<=>(old(X)|~humble(X)... | funny(fred) | [
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7295766330839151681182718
% SZS output start Proof for 7295766330839151681182718
9. ! [X0] : ((generous(X0) | ~happy(X0)) => (wise(X0) & funny(X0))) [input p8]
13. ! [X0] : ((brave(X0) | ~kind(X0)) <=> ~happy(X0)) [input p12]
20. ~kind(fred) [input p19]
23. ~funny(fred) [input hypothesis]... | 0 |
Everyone who is rich is either not creative or quiet and vice versa.
Everyone who is generous is either humble or rich and vice versa.
Everyone who is brave is either not generous or not tall and vice versa.
Everyone who is both not happy and curious is either not curious or kind and vice versa.
Everyone who is not pat... | Lucy is not happy. | neutral | (![X]:(rich(X)<=>(~creative(X)<~>quiet(X))))&
(![X]:(generous(X)<=>(humble(X)<~>rich(X))))&
(![X]:(brave(X)<=>(~generous(X)<~>~tall(X))))&
(![X]:((~happy(X)&curious(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((~patient(X)|~happy(X))<=>(~calm(X)<~>curious(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(~brave(X)|~tall(X))))&
((?[X... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not old or not funny is patient and vice versa.
Everyone who is not old is not rich or not brave.
Everyone who is both not tall and rich is both rich and not tall and vice versa.
Everyone who is both strong and curious is both not brave and quiet.
Everyone who is both brave and creative is either... | John is not creative. | neutral | (![X]:((~old(X)<~>~funny(X))<=>patient(X)))&
(![X]:(~old(X)=>(~rich(X)|~brave(X))))&
(![X]:((~tall(X)&rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((strong(X)&curious(X))=>(~brave(X)&quiet(X))))&
(![X]:((brave(X)&creative(X))<=>(brave(X)<~>patient(X))))&
(![X]:((kind(X)|~kind(X))<=>~funny(X)))&
(![X]:((kind(X)|~quiet(X))=>(~... | ~creative(john) | [] | null | 0 |
If lucy is either not humble or not curious then alice is either quiet or strong and vice versa.
If fred is calm then lucy is either not curious or calm and vice versa.
Everyone who is old or tall is both tall and quiet and vice versa.
If lucy is happy then susan is both not strong and curious.
Everyone who is brave is... | Lucy is old. | neutral | (((~humble(lucy)<~>~curious(lucy)))<=>((quiet(alice)<~>strong(alice))))&
((calm(fred))<=>((~curious(lucy)<~>calm(lucy))))&
(![X]:((old(X)|tall(X))<=>(tall(X)&quiet(X))))&
((happy(lucy))=>((~strong(susan)&curious(susan))))&
(![X]:(brave(X)<=>happy(X)))&
((?[X]:((quiet(X)<~>~creative(X))))=>((rich(alice)|~old(alice))))&
... | old(lucy) | [] | null | 0 |
Everyone who is not brave or patient is rich or not wise and vice versa.
If susan is kind or not curious then someone is not humble.
Everyone who is either strong or rich is either strong or tall.
If lucy is both generous and not tall then someone is calm or not humble.
Everyone who is either not wise or not happy is c... | Alice is rich. | neutral | (![X]:((~brave(X)|patient(X))<=>(rich(X)|~wise(X))))&
(((kind(susan)|~curious(susan)))=>(?[X]:(~humble(X))))&
(![X]:((strong(X)<~>rich(X))=>(strong(X)<~>tall(X))))&
(((generous(lucy)&~tall(lucy)))=>(?[X]:((calm(X)|~humble(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>calm(X)))&
(![X]:((brave(X)&generous(X))<=>(~rich(X)&tall(... | rich(alice) | [] | null | 0 |
Everyone who is creative or not patient is either rich or not tall and vice versa.
If susan is not kind or calm then someone is either not strong or not calm and vice versa.
Everyone who is not generous is generous.
Everyone who is not humble is rich or patient.
If someone is rich then someone is old or not rich.
If so... | Paul is not generous. | contradiction | (![X]:((creative(X)|~patient(X))<=>(rich(X)<~>~tall(X))))&
(((~kind(susan)|calm(susan)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:(~generous(X)=>generous(X)))&
(![X]:(~humble(X)=>(rich(X)|patient(X))))&
((?[X]:(rich(X)))=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:((humble(X)&calm(X))))=>((~kind(paul)|~brave(paul))))&
((?[X... | ~generous(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7458055965017818596471467
% SZS output start Proof for 7458055965017818596471467
3. ! [X0] : (~generous(X0) => generous(X0)) [input p2]
24. ~generous(paul) [input hypothesis]
28. ! [X0] : (generous(X0) | generous(X0)) [ennf transformation 3]
96. generous(X0) | generous(X0) [cnf transforma... | 0 |
Everyone who is both wise and generous is both rich and not creative and vice versa.
Everyone who is creative or not curious is both not humble and not kind.
If someone is curious or not quiet then someone is not kind.
Everyone who is wise is both curious and creative.
If mary is happy or not quiet then someone is both... | Lucy is curious. | entailment | (![X]:((wise(X)&generous(X))<=>(rich(X)&~creative(X))))&
(![X]:((creative(X)|~curious(X))=>(~humble(X)&~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:(~kind(X))))&
(![X]:(wise(X)=>(curious(X)&creative(X))))&
(((happy(mary)|~quiet(mary)))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:((~wise(X)&~calm(X))))=>((~wise(john)<~>... | curious(lucy) | [
"p0",
"p1",
"p3",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5666936322979445674471126
% SZS output start Proof for 5666936322979445674471126
1. ! [X0] : ((generous(X0) & wise(X0)) <=> (~creative(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | creative(X0)) => (~kind(X0) & ~humble(X0))) [input p1]
4. ! [X0] : (wise(X0) => (creative(X0) & c... | 0 |
If john is strong then john is either kind or not calm.
Everyone who is either not patient or not funny is either not funny or strong.
Everyone who is both not curious and not brave is either not strong or curious.
If mary is patient then paul is not generous or wise and vice versa.
Everyone who is both not kind and ge... | John is quiet. | neutral | ((strong(john))=>((kind(john)<~>~calm(john))))&
(![X]:((~patient(X)<~>~funny(X))=>(~funny(X)<~>strong(X))))&
(![X]:((~curious(X)&~brave(X))=>(~strong(X)<~>curious(X))))&
((patient(mary))<=>((~generous(paul)|wise(paul))))&
(![X]:((~kind(X)&generous(X))<=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(ali... | quiet(john) | [] | null | 0 |
If lucy is both not patient and not funny then someone is wise and vice versa.
If susan is either not happy or not wise then susan is brave or not rich and vice versa.
Everyone who is brave or old is both not tall and rich.
If alice is not brave or not rich then mary is quiet.
Everyone who is both patient and not tall ... | John is rich. | entailment | (((~patient(lucy)&~funny(lucy)))<=>(?[X]:(wise(X))))&
(((~happy(susan)<~>~wise(susan)))<=>((brave(susan)|~rich(susan))))&
(![X]:((brave(X)|old(X))=>(~tall(X)&rich(X))))&
(((~brave(alice)|~rich(alice)))=>(quiet(mary)))&
(![X]:((patient(X)&~tall(X))<=>(~brave(X)|rich(X))))&
(![X]:(quiet(X)<=>(~old(X)|~happy(X))))&
(((hum... | rich(john) | [
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8319360895695787265475566
% SZS output start Proof for 8319360895695787265475566
15. (~old(john) & rich(john)) <=> (tall(john) | ~wise(john)) [input p14]
18. ~wise(john) [input p17]
22. ~rich(john) [input hypothesis]
62. ((~old(john) & rich(john)) | (~tall(john) & wise(john))) & ((tall(jo... | 0 |
If someone is both not curious and not brave then susan is both happy and funny and vice versa.
If susan is either calm or not wise then someone is either happy or brave.
Everyone who is both not brave and quiet is both brave and not tall.
If someone is both not funny and quiet then john is either not creative or happy... | John is creative. | contradiction | ((?[X]:((~curious(X)&~brave(X))))<=>((happy(susan)&funny(susan))))&
(((calm(susan)<~>~wise(susan)))=>(?[X]:((happy(X)<~>brave(X)))))&
(![X]:((~brave(X)&quiet(X))=>(brave(X)&~tall(X))))&
((?[X]:((~funny(X)&quiet(X))))=>((~creative(john)<~>happy(john))))&
((?[X]:((~calm(X)&calm(X))))=>(strong(susan)))&
(![X]:((~creative(... | creative(john) | [
"p2",
"p6",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 739195667555682525168295
% SZS output start Proof for 739195667555682525168295
3. ! [X0] : ((quiet(X0) & ~brave(X0)) => (~tall(X0) & brave(X0))) [input p2]
7. ! [X0] : (~rich(X0) <=> (~creative(X0) & ~rich(X0))) [input p6]
10. (~rich(john) & quiet(john)) <=> ? [X0] : ~quiet(X0) [input p9]... | 0 |
Everyone who is rich is either quiet or not humble. If someone is not quiet then someone is both rich and not wise and vice versa. Everyone who is both humble and not happy is funny. If fred is curious or calm then fred is both not happy and not funny. Everyone who is both not patient and not wise is not rich. If someo... | Fred is not funny. | neutral | (![X]:(rich(X)=>(quiet(X)<~>~humble(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((rich(X)&~wise(X)))))&
(![X]:((humble(X)&~happy(X))=>funny(X)))&
(((curious(fred)|calm(fred)))=>((~happy(fred)&~funny(fred))))&
(![X]:((~patient(X)&~wise(X))=>~rich(X)))&
((?[X]:(wise(X)))<=>((~generous(paul)|strong(paul))))&
(![X]:((~strong(X)<~>~... | ~funny(fred) | [] | null | 0 |
Everyone who is both not creative and not wise is not generous. Everyone who is not patient is both not patient and not brave and vice versa. Everyone who is kind or curious is either not creative or not patient. Everyone who is either not rich or old is either not tall or brave. Everyone who is either rich or not calm... | Mary is kind. | neutral | (![X]:((~creative(X)&~wise(X))=>~generous(X)))&
(![X]:(~patient(X)<=>(~patient(X)&~brave(X))))&
(![X]:((kind(X)|curious(X))=>(~creative(X)<~>~patient(X))))&
(![X]:((~rich(X)<~>old(X))=>(~tall(X)<~>brave(X))))&
(![X]:((rich(X)<~>~calm(X))<=>(~calm(X)<~>~curious(X))))&
(![X]:((wise(X)&brave(X))<=>~patient(X)))&
(((~kind(... | kind(mary) | [] | null | 0 |
If someone is either patient or tall then fred is either not old or not funny and vice versa.
Everyone who is both brave and not wise is not creative or curious and vice versa.
If mary is either tall or not generous then lucy is both happy and not strong and vice versa.
Everyone who is not quiet or tall is both quiet a... | Mary is quiet. | entailment | ((?[X]:((patient(X)<~>tall(X))))<=>((~old(fred)<~>~funny(fred))))&
(![X]:((brave(X)&~wise(X))<=>(~creative(X)|curious(X))))&
(((tall(mary)<~>~generous(mary)))<=>((happy(lucy)&~strong(lucy))))&
(![X]:((~quiet(X)|tall(X))=>(quiet(X)&~kind(X))))&
(![X]:((~tall(X)|generous(X))=>(~kind(X)|~wise(X))))&
((~kind(susan))<=>(?[X... | quiet(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 10808093905695059909939
% SZS output start Proof for 10808093905695059909939
4. ! [X0] : ((tall(X0) | ~quiet(X0)) => (~kind(X0) & quiet(X0))) [input p3]
24. ~quiet(mary) [input hypothesis]
27. ! [X0] : ((~kind(X0) & quiet(X0)) | (~tall(X0) & quiet(X0))) [ennf transformation 4]
99. quiet(X... | 0 |
If john is either calm or funny then someone is both not tall and patient and vice versa. If susan is not rich or not quiet then someone is either tall or quiet and vice versa. Everyone who is not rich or funny is rich. If lucy is not calm then mary is quiet. Everyone who is not happy or not tall is either curious or n... | Lucy is not creative. | contradiction | (((calm(john)<~>funny(john)))<=>(?[X]:((~tall(X)&patient(X)))))&
(((~rich(susan)|~quiet(susan)))<=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:((~rich(X)|funny(X))=>rich(X)))&
((~calm(lucy))=>(quiet(mary)))&
(![X]:((~happy(X)|~tall(X))<=>(curious(X)<~>~curious(X))))&
(![X]:((~kind(X)<~>~quiet(X))<=>(~calm(X)&~tall(X))))&
((?... | ~creative(lucy) | [
"p8",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4730886940208411717858129
% SZS output start Proof for 4730886940208411717858129
9. ! [X0] : ((~funny(X0) | funny(X0)) => (brave(X0) & patient(X0))) [input p8]
14. ? [X0] : (creative(X0) <~> happy(X0)) => (generous(alice) & happy(alice)) [input p13]
17. ~patient(lucy) | happy(lucy) [input... | 0 |
Everyone who is either kind or wise is not funny.
Everyone who is patient or not humble is generous or not curious and vice versa.
Everyone who is either not humble or not curious is old or not wise and vice versa.
If someone is both not calm and not brave then someone is either generous or calm and vice versa.
If alic... | Alice is tall. | entailment | (![X]:((kind(X)<~>wise(X))=>~funny(X)))&
(![X]:((patient(X)|~humble(X))<=>(generous(X)|~curious(X))))&
(![X]:((~humble(X)<~>~curious(X))<=>(old(X)|~wise(X))))&
((?[X]:((~calm(X)&~brave(X))))<=>(?[X]:((generous(X)<~>calm(X)))))&
(((rich(alice)|generous(alice)))=>((curious(mary)&~quiet(mary))))&
(![X]:(~rich(X)<=>(~gener... | tall(alice) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p12",
"p19",
"p20",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3281120964551875871554624
% SZS output start Proof for 3281120964551875871554624
2. ! [X0] : ((~humble(X0) | patient(X0)) <=> (~curious(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~humble(X0) <~> ~curious(X0)) <=> (~wise(X0) | old(X0))) [input p2]
5. (generous(alice) | rich(alice)) => (... | 0 |
Everyone who is not humble or not patient is old or generous and vice versa.
If lucy is either not old or not happy then paul is either calm or tall and vice versa.
If someone is not calm or quiet then someone is either not curious or not quiet and vice versa.
Everyone who is generous or quiet is not humble.
Everyone w... | Alice is not old. | neutral | (![X]:((~humble(X)|~patient(X))<=>(old(X)|generous(X))))&
(((~old(lucy)<~>~happy(lucy)))<=>((calm(paul)<~>tall(paul))))&
((?[X]:((~calm(X)|quiet(X))))<=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(![X]:((generous(X)|quiet(X))=>~humble(X)))&
(![X]:(~strong(X)<=>(humble(X)&calm(X))))&
(((~calm(paul)&brave(paul)))<=>(kind(lucy)... | ~old(alice) | [] | null | 0 |
Everyone who is both humble and not rich is both quiet and not humble. If someone is both not calm and humble then lucy is not calm or generous and vice versa. Everyone who is patient or tall is happy or not old and vice versa. Everyone who is either not quiet or old is either curious or not kind. If john is not humble... | John is not tall. | entailment | (![X]:((humble(X)&~rich(X))=>(quiet(X)&~humble(X))))&
((?[X]:((~calm(X)&humble(X))))<=>((~calm(lucy)|generous(lucy))))&
(![X]:((patient(X)|tall(X))<=>(happy(X)|~old(X))))&
(![X]:((~quiet(X)<~>old(X))=>(curious(X)<~>~kind(X))))&
(((~humble(john)|~wise(john)))=>(?[X]:((~brave(X)<~>~kind(X)))))&
(![X]:((kind(X)|~generous(... | ~tall(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 74924678009486352471398
% SZS output start Proof for 74924678009486352471398
19. humble(john) & ~tall(john) [input p18]
25. tall(john) [input hypothesis]
135. ~tall(john) [cnf transformation 19]
145. tall(john) [cnf transformation 25]
320. 40 <=> tall(john) [avatar definition]
325. ~40 [a... | 0 |
Everyone who is patient is brave or not curious and vice versa. Everyone who is both happy and not creative is not generous or not funny and vice versa. If someone is not creative then lucy is not old or not brave and vice versa. Everyone who is tall or generous is both not quiet and kind. Everyone who is not funny or ... | Susan is not happy. | contradiction | (![X]:(patient(X)<=>(brave(X)|~curious(X))))&
(![X]:((happy(X)&~creative(X))<=>(~generous(X)|~funny(X))))&
((?[X]:(~creative(X)))<=>((~old(lucy)|~brave(lucy))))&
(![X]:((tall(X)|generous(X))=>(~quiet(X)&kind(X))))&
(![X]:((~funny(X)|calm(X))=>~quiet(X)))&
((~quiet(paul))<=>((happy(susan)|~kind(susan))))&
(((humble(lucy... | ~happy(susan) | [
"p1",
"p3",
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2997683280796962348869020
% SZS output start Proof for 2997683280796962348869020
2. ! [X0] : ((~creative(X0) & happy(X0)) <=> (~funny(X0) | ~generous(X0))) [input p1]
4. ! [X0] : ((generous(X0) | tall(X0)) => (kind(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : ((calm(X0) | ~funny(X0)) => ~qui... | 0 |
If someone is either not generous or not patient then someone is either not calm or calm.
If someone is either calm or funny then alice is tall and vice versa.
If fred is both not curious and not quiet then someone is strong or not rich.
Everyone who is both not brave and creative is both kind and not wise.
If alice is... | Paul is not patient. | neutral | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((~calm(X)<~>calm(X)))))&
((?[X]:((calm(X)<~>funny(X))))<=>(tall(alice)))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brave(X)&creative(X))=>(kind(X)&~wise(X))))&
((~happy(alice))<=>(?[X]:(~calm(X))))&
(![X]:((~happy(X)&brave(X))=>(happy(X)&k... | ~patient(paul) | [] | null | 0 |
Everyone who is either generous or not wise is not kind. If john is either not brave or not calm then someone is kind. Everyone who is happy is not strong. If someone is either not creative or not quiet then someone is wise or tall. If someone is not brave then paul is both old and not humble. If mary is kind or not ol... | Susan is kind. | entailment | (![X]:((generous(X)<~>~wise(X))=>~kind(X)))&
(((~brave(john)<~>~calm(john)))=>(?[X]:(kind(X))))&
(![X]:(happy(X)=>~strong(X)))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:(~brave(X)))=>((old(paul)&~humble(paul))))&
(((kind(mary)|~old(mary)))=>(?[X]:((brave(X)<~>~funny(X)))))&
((?[X]:((gen... | kind(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5255159747466513623181628
% SZS output start Proof for 5255159747466513623181628
17. kind(susan) [input p16]
25. ~kind(susan) [input hypothesis]
142. kind(susan) [cnf transformation 17]
155. ~kind(susan) [cnf transformation 25]
438. $false [subsumption resolution 155,142]
% SZS output end... | 0 |
If susan is not funny or not humble then someone is either not patient or patient.
If someone is patient or funny then lucy is not curious.
Everyone who is both not tall and not calm is both strong and curious.
If paul is not kind or brave then fred is not quiet or kind and vice versa.
If alice is either strong or funn... | Susan is not patient. | entailment | (((~funny(susan)|~humble(susan)))=>(?[X]:((~patient(X)<~>patient(X)))))&
((?[X]:((patient(X)|funny(X))))=>(~curious(lucy)))&
(![X]:((~tall(X)&~calm(X))=>(strong(X)&curious(X))))&
(((~kind(paul)|brave(paul)))<=>((~quiet(fred)|kind(fred))))&
(((strong(alice)<~>funny(alice)))=>(?[X]:((~rich(X)&tall(X)))))&
(![X]:((happy(X... | ~patient(susan) | [
"p6",
"p8",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7976692494704335026353799
% SZS output start Proof for 7976692494704335026353799
7. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> calm(X0)) [input p6]
9. ! [X0] : ((quiet(X0) & ~brave(X0)) <=> (patient(X0) <~> ~creative(X0))) [input p8]
11. ! [X0] : (strong(X0) <=> (~strong(X0) | ~calm(X0))) [i... | 0 |
Everyone who is patient or not tall is both not creative and quiet.
Everyone who is not creative or curious is not brave and vice versa.
Everyone who is either brave or not patient is either creative or not strong and vice versa.
If someone is both creative and strong then someone is both not wise and calm and vice ver... | Susan is generous. | entailment | (![X]:((patient(X)|~tall(X))=>(~creative(X)&quiet(X))))&
(![X]:((~creative(X)|curious(X))<=>~brave(X)))&
(![X]:((brave(X)<~>~patient(X))<=>(creative(X)<~>~strong(X))))&
((?[X]:((creative(X)&strong(X))))<=>(?[X]:((~wise(X)&calm(X)))))&
(![X]:((~old(X)&~funny(X))=>rich(X)))&
(![X]:((wise(X)|~funny(X))<=>(happy(X)&generou... | generous(susan) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 728239575345431891167843
% SZS output start Proof for 728239575345431891167843
1. ! [X0] : ((~tall(X0) | patient(X0)) => (quiet(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~creative(X0)) <=> ~brave(X0)) [input p1]
4. ? [X0] : (strong(X0) & creative(X0)) <=> ? [X0] : (calm... | 0 |
If someone is humble then john is either not rich or rich and vice versa.
Everyone who is strong or not happy is either not patient or not strong and vice versa.
Everyone who is either strong or not old is both calm and generous.
Everyone who is both strong and old is humble and vice versa.
If someone is calm or not ri... | Susan is tall. | contradiction | ((?[X]:(humble(X)))<=>((~rich(john)<~>rich(john))))&
(![X]:((strong(X)|~happy(X))<=>(~patient(X)<~>~strong(X))))&
(![X]:((strong(X)<~>~old(X))=>(calm(X)&generous(X))))&
(![X]:((strong(X)&old(X))<=>humble(X)))&
((?[X]:((calm(X)|~rich(X))))<=>(calm(paul)))&
(((~humble(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>calm(X))... | tall(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2270896458029397580632429
% SZS output start Proof for 2270896458029397580632429
18. ~tall(susan) [input p17]
25. tall(susan) [input hypothesis]
153. ~tall(susan) [cnf transformation 18]
162. tall(susan) [cnf transformation 25]
404. $false [subsumption resolution 162,153]
% SZS output end... | 0 |
If someone is not creative then someone is either not happy or not kind and vice versa.
Everyone who is either brave or curious is not strong and vice versa.
Everyone who is both patient and humble is either not tall or not quiet.
Everyone who is both not quiet and happy is both not generous and calm.
If someone is bot... | Fred is not calm. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)<~>~kind(X)))))&
(![X]:((brave(X)<~>curious(X))<=>~strong(X)))&
(![X]:((patient(X)&humble(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&happy(X))=>(~generous(X)&calm(X))))&
((?[X]:((~calm(X)&~old(X))))<=>(?[X]:((old(X)&~strong(X)))))&
((?[X]:(~patient(X)))=>(old(susan)))&
(!... | ~calm(fred) | [
"p6",
"p9",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 424609274155679594694138
% SZS output start Proof for 424609274155679594694138
7. ! [X0] : ((~creative(X0) | happy(X0)) <=> calm(X0)) [input p6]
10. ! [X0] : (~generous(X0) <=> (brave(X0) | curious(X0))) [input p9]
11. ! [X0] : ((~strong(X0) | creative(X0)) <=> (generous(X0) | calm(X0))) ... | 0 |
Everyone who is either not generous or not old is not calm or not quiet.
If someone is both wise and not funny then someone is not rich.
If someone is both not humble and strong then john is either not funny or not curious and vice versa.
If someone is either not wise or wise then paul is strong and vice versa.
Everyon... | Paul is strong. | entailment | (![X]:((~generous(X)<~>~old(X))=>(~calm(X)|~quiet(X))))&
((?[X]:((wise(X)&~funny(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~humble(X)&strong(X))))<=>((~funny(john)<~>~curious(john))))&
((?[X]:((~wise(X)<~>wise(X))))<=>(strong(paul)))&
(![X]:((~old(X)|creative(X))<=>(rich(X)<~>kind(X))))&
(![X]:((creative(X)|old(X))<=>(strong... | strong(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3343856190940698371799523
% SZS output start Proof for 3343856190940698371799523
4. ? [X0] : (~wise(X0) <~> wise(X0)) <=> strong(paul) [input p3]
24. ~strong(paul) [input hypothesis]
44. (? [X0] : ((~wise(X0) | wise(X0)) & (wise(X0) | ~wise(X0))) | ~strong(paul)) & (strong(paul) | ! [X0] ... | 0 |
Everyone who is funny or not happy is either not curious or not old and vice versa.
If alice is both happy and not funny then someone is not quiet or not strong.
If someone is both not quiet and brave then paul is both tall and happy.
Everyone who is either old or quiet is kind or patient and vice versa.
Everyone who i... | Mary is not calm. | entailment | (![X]:((funny(X)|~happy(X))<=>(~curious(X)<~>~old(X))))&
(((happy(alice)&~funny(alice)))=>(?[X]:((~quiet(X)|~strong(X)))))&
((?[X]:((~quiet(X)&brave(X))))=>((tall(paul)&happy(paul))))&
(![X]:((old(X)<~>quiet(X))<=>(kind(X)|patient(X))))&
(![X]:(kind(X)<=>(calm(X)|~wise(X))))&
(((humble(susan)&funny(susan)))=>(?[X]:(qui... | ~calm(mary) | [
"p0",
"p2",
"p3",
"p6",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1706561950023057490196118
% SZS output start Proof for 1706561950023057490196118
1. ! [X0] : ((~happy(X0) | funny(X0)) <=> (~curious(X0) <~> ~old(X0))) [input p0]
3. ? [X0] : (brave(X0) & ~quiet(X0)) => (happy(paul) & tall(paul)) [input p2]
4. ! [X0] : ((old(X0) <~> quiet(X0)) <=> (patien... | 0 |
Everyone who is either not quiet or old is both not creative and not strong. Everyone who is either not funny or wise is either patient or strong and vice versa. If susan is not wise then someone is both not generous and humble. Everyone who is both not patient and not happy is either rich or generous and vice versa. E... | Mary is rich. | contradiction | (![X]:((~quiet(X)<~>old(X))=>(~creative(X)&~strong(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(patient(X)<~>strong(X))))&
((~wise(susan))=>(?[X]:((~generous(X)&humble(X)))))&
(![X]:((~patient(X)&~happy(X))<=>(rich(X)<~>generous(X))))&
(![X]:(~calm(X)<=>(~wise(X)&kind(X))))&
((?[X]:((~curious(X)&calm(X))))=>(?[X]:((~generous... | rich(mary) | [
"p4",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2786468840524017031862493
% SZS output start Proof for 2786468840524017031862493
5. ! [X0] : (~calm(X0) <=> (kind(X0) & ~wise(X0))) [input p4]
14. ! [X0] : ((~kind(X0) & rich(X0)) <=> (rich(X0) & ~calm(X0))) [input p13]
20. ~kind(mary) <~> ~rich(mary) [input p19]
25. rich(mary) [input hyp... | 0 |
If someone is old or rich then lucy is not quiet and vice versa.
Everyone who is not happy is generous.
Everyone who is not wise is both creative and not wise.
If someone is both rich and happy then someone is not generous and vice versa.
If someone is both not brave and not patient then alice is both not quiet and not... | Paul is old. | entailment | ((?[X]:((old(X)|rich(X))))<=>(~quiet(lucy)))&
(![X]:(~happy(X)=>generous(X)))&
(![X]:(~wise(X)=>(creative(X)&~wise(X))))&
((?[X]:((rich(X)&happy(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((~brave(X)&~patient(X))))<=>((~quiet(alice)&~generous(alice))))&
(((calm(susan)&~humble(susan)))=>(?[X]:((wise(X)|rich(X)))))&
(![X]:((... | old(paul) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4300166180623074764318239
% SZS output start Proof for 4300166180623074764318239
12. ! [X0] : ((~wise(X0) & wise(X0)) <=> (~strong(X0) | ~kind(X0))) [input p11]
16. ! [X0] : (~old(X0) => (~strong(X0) & ~generous(X0))) [input p15]
24. ~old(paul) [input hypothesis]
39. ! [X0] : ((~strong(X0... | 0 |
If alice is not kind or tall then someone is either not calm or not tall and vice versa.
Everyone who is funny or curious is either tall or happy.
Everyone who is both calm and not generous is not wise and vice versa.
Everyone who is both not rich and not generous is rich or calm and vice versa.
Everyone who is either ... | Paul is not wise. | entailment | (((~kind(alice)|tall(alice)))<=>(?[X]:((~calm(X)<~>~tall(X)))))&
(![X]:((funny(X)|curious(X))=>(tall(X)<~>happy(X))))&
(![X]:((calm(X)&~generous(X))<=>~wise(X)))&
(![X]:((~rich(X)&~generous(X))<=>(rich(X)|calm(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~creative(X)|~kind(X))))&
(((~funny(paul)<~>~creative(paul)))=>(?[X]... | ~wise(paul) | [
"p2",
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6770410915304710411933260
% SZS output start Proof for 6770410915304710411933260
3. ! [X0] : ((~generous(X0) & calm(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (~kind(X0) | ~cre... | 0 |
Everyone who is both strong and not funny is not kind and vice versa.
Everyone who is both not quiet and creative is both wise and happy.
Everyone who is tall is not quiet and vice versa.
Everyone who is either not curious or not rich is either not wise or not generous.
Everyone who is either not creative or not calm i... | Lucy is generous. | neutral | (![X]:((strong(X)&~funny(X))<=>~kind(X)))&
(![X]:((~quiet(X)&creative(X))=>(wise(X)&happy(X))))&
(![X]:(tall(X)<=>~quiet(X)))&
(![X]:((~curious(X)<~>~rich(X))=>(~wise(X)<~>~generous(X))))&
(![X]:((~creative(X)<~>~calm(X))<=>(humble(X)|funny(X))))&
((?[X]:(~tall(X)))=>(~happy(john)))&
(![X]:(~happy(X)=>~brave(X)))&
((?[... | generous(lucy) | [] | null | 0 |
Everyone who is both funny and old is not patient or not strong and vice versa.
If someone is both funny and calm then paul is wise or not curious and vice versa.
If someone is both not rich and strong then john is both wise and curious.
If someone is both funny and not strong then someone is either not humble or funny... | Susan is not generous. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)|~strong(X))))&
((?[X]:((funny(X)&calm(X))))<=>((wise(paul)|~curious(paul))))&
((?[X]:((~rich(X)&strong(X))))=>((wise(john)&curious(john))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((~humble(X)<~>funny(X)))))&
(![X]:((~old(X)&happy(X))=>rich(X)))&
(((creative(susan)<~>calm(susan))... | ~generous(susan) | [] | null | 0 |
Everyone who is either not wise or funny is both patient and not calm. Everyone who is both not generous and creative is quiet or brave. Everyone who is old or tall is happy and vice versa. Everyone who is curious or calm is rich or not kind. If someone is both not wise and not strong then fred is curious and vice vers... | Paul is not patient. | neutral | (![X]:((~wise(X)<~>funny(X))=>(patient(X)&~calm(X))))&
(![X]:((~generous(X)&creative(X))=>(quiet(X)|brave(X))))&
(![X]:((old(X)|tall(X))<=>happy(X)))&
(![X]:((curious(X)|calm(X))=>(rich(X)|~kind(X))))&
((?[X]:((~wise(X)&~strong(X))))<=>(curious(fred)))&
((?[X]:((rich(X)<~>~calm(X))))=>(?[X]:(~patient(X))))&
(((wise(fre... | ~patient(paul) | [] | null | 0 |
Everyone who is both old and patient is not kind or old and vice versa.
If someone is not creative then someone is both creative and not brave.
Everyone who is tall or not happy is not strong.
If mary is not kind or old then susan is not generous and vice versa.
Everyone who is not generous is either not generous or wi... | Susan is not generous. | contradiction | (![X]:((old(X)&patient(X))<=>(~kind(X)|old(X))))&
((?[X]:(~creative(X)))=>(?[X]:((creative(X)&~brave(X)))))&
(![X]:((tall(X)|~happy(X))=>~strong(X)))&
(((~kind(mary)|old(mary)))<=>(~generous(susan)))&
(![X]:(~generous(X)<=>(~generous(X)<~>wise(X))))&
((?[X]:((funny(X)|brave(X))))<=>((kind(fred)<~>old(fred))))&
(((wise(... | ~generous(susan) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1792741160793407305276229
% SZS output start Proof for 1792741160793407305276229
1. ! [X0] : ((patient(X0) & old(X0)) <=> (old(X0) | ~kind(X0))) [input p0]
4. (old(mary) | ~kind(mary)) <=> ~generous(susan) [input p3]
5. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> wise(X0))) [input p4]
... | 0 |
Everyone who is not tall is happy. Everyone who is brave or not kind is not kind or rich and vice versa. Everyone who is either not old or wise is calm or brave and vice versa. Everyone who is not quiet or not strong is either funny or wise and vice versa. Everyone who is either curious or not strong is tall or not pat... | Lucy is not funny. | neutral | (![X]:(~tall(X)=>happy(X)))&
(![X]:((brave(X)|~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~old(X)<~>wise(X))<=>(calm(X)|brave(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(funny(X)<~>wise(X))))&
(![X]:((curious(X)<~>~strong(X))=>(tall(X)|~patient(X))))&
(![X]:((calm(X)|~old(X))<=>(~curious(X)|~brave(X))))&
(![X]:(~brave(X)=>(~... | ~funny(lucy) | [] | null | 0 |
Everyone who is either humble or not funny is patient and vice versa. Everyone who is brave or not kind is either wise or not brave and vice versa. Everyone who is either not happy or patient is both tall and funny. If paul is strong or curious then john is both strong and happy. If lucy is tall then someone is not hum... | John is tall. | neutral | (![X]:((humble(X)<~>~funny(X))<=>patient(X)))&
(![X]:((brave(X)|~kind(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~happy(X)<~>patient(X))=>(tall(X)&funny(X))))&
(((strong(paul)|curious(paul)))=>((strong(john)&happy(john))))&
((tall(lucy))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:((~quiet(X)&brave(X))=>(~wise(X)<~>funny(X))))&... | tall(john) | [] | null | 0 |
Everyone who is not tall or not kind is either not rich or kind.
Everyone who is humble or creative is both not quiet and not kind.
If john is either not rich or not strong then someone is both rich and not strong.
Everyone who is either not old or not generous is curious and vice versa.
If lucy is funny or tall then s... | Lucy is happy. | neutral | (![X]:((~tall(X)|~kind(X))=>(~rich(X)<~>kind(X))))&
(![X]:((humble(X)|creative(X))=>(~quiet(X)&~kind(X))))&
(((~rich(john)<~>~strong(john)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:((~old(X)<~>~generous(X))<=>curious(X)))&
(((funny(lucy)|tall(lucy)))=>(?[X]:(funny(X))))&
(![X]:((~funny(X)&~old(X))<=>~generous(X)))&
(![X... | happy(lucy) | [] | null | 0 |
Everyone who is both not calm and not happy is both funny and humble. If john is happy then someone is both not brave and not old and vice versa. If lucy is either humble or kind then someone is not kind. If someone is both not rich and humble then paul is both not calm and not tall. Everyone who is both funny and wise... | Lucy is not rich. | neutral | (![X]:((~calm(X)&~happy(X))=>(funny(X)&humble(X))))&
((happy(john))<=>(?[X]:((~brave(X)&~old(X)))))&
(((humble(lucy)<~>kind(lucy)))=>(?[X]:(~kind(X))))&
((?[X]:((~rich(X)&humble(X))))=>((~calm(paul)&~tall(paul))))&
(![X]:((funny(X)&wise(X))<=>(~funny(X)&~curious(X))))&
(((~happy(fred)|~generous(fred)))<=>(~funny(mary))... | ~rich(lucy) | [] | null | 0 |
If someone is not old then alice is not creative or not brave. If mary is either not tall or happy then someone is not rich or not wise. Everyone who is not old is either creative or not calm. If someone is either not creative or creative then someone is wise or not tall. Everyone who is not strong is old or not rich. ... | Mary is not creative. | entailment | ((?[X]:(~old(X)))=>((~creative(alice)|~brave(alice))))&
(((~tall(mary)<~>happy(mary)))=>(?[X]:((~rich(X)|~wise(X)))))&
(![X]:(~old(X)=>(creative(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((wise(X)|~tall(X)))))&
(![X]:(~strong(X)=>(old(X)|~rich(X))))&
(((~generous(paul)&calm(paul)))<=>(?[X]:((~quie... | ~creative(mary) | [
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5117331360295444292919150
% SZS output start Proof for 5117331360295444292919150
6. (calm(paul) & ~generous(paul)) <=> ? [X0] : (~quiet(X0) <~> old(X0)) [input p5]
9. ! [X0] : ((old(X0) & ~curious(X0)) <=> ~calm(X0)) [input p8]
10. ! [X0] : (creative(X0) <=> quiet(X0)) [input p9]
11. ! [X... | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | Mary is not creative. | contradiction | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | ~creative(mary) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4144192651809811082291269
% SZS output start Proof for 4144192651809811082291269
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
7. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~patient(X0)) [input p6]
24. ~creative(mary) [input hypothesis]
28. ! [X0] : ((~ol... | 0 |
Everyone who is both not quiet and generous is old or not creative and vice versa. Everyone who is both not old and not generous is either not happy or not generous. Everyone who is either brave or not tall is either not old or not rich and vice versa. Everyone who is creative is not strong or kind. If alice is not fun... | Lucy is not brave. | neutral | (![X]:((~quiet(X)&generous(X))<=>(old(X)|~creative(X))))&
(![X]:((~old(X)&~generous(X))=>(~happy(X)<~>~generous(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(creative(X)=>(~strong(X)|kind(X))))&
(((~funny(alice)|rich(alice)))=>(patient(fred)))&
(((old(alice)&~creative(alice)))<=>(?[X]:((happy(X)|... | ~brave(lucy) | [] | null | 0 |
If fred is patient then paul is either not brave or happy. Everyone who is quiet or not strong is either not humble or humble. If someone is either generous or quiet then mary is brave. Everyone who is both patient and creative is both not tall and strong. Everyone who is either humble or rich is not humble and vice ve... | Fred is brave. | contradiction | ((patient(fred))=>((~brave(paul)<~>happy(paul))))&
(![X]:((quiet(X)|~strong(X))=>(~humble(X)<~>humble(X))))&
((?[X]:((generous(X)<~>quiet(X))))=>(brave(mary)))&
(![X]:((patient(X)&creative(X))=>(~tall(X)&strong(X))))&
(![X]:((humble(X)<~>rich(X))<=>~humble(X)))&
(![X]:((old(X)|~humble(X))=>(patient(X)|~brave(X))))&
(((... | brave(fred) | [
"p4",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 836526898948318481166072
% SZS output start Proof for 836526898948318481166072
5. ! [X0] : ((humble(X0) <~> rich(X0)) <=> ~humble(X0)) [input p4]
10. ! [X0] : (curious(X0) <=> ~brave(X0)) [input p9]
14. ! [X0] : ((brave(X0) | ~kind(X0)) <=> (happy(X0) | ~rich(X0))) [input p13]
15. ! [X0] ... | 0 |
If susan is not curious or not wise then lucy is not humble.
If lucy is both humble and not humble then someone is either not curious or happy and vice versa.
If susan is tall then someone is not old or quiet and vice versa.
Everyone who is not funny is both not curious and not patient and vice versa.
If lucy is either... | Alice is not patient. | neutral | (((~curious(susan)|~wise(susan)))=>(~humble(lucy)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:((~curious(X)<~>happy(X)))))&
((tall(susan))<=>(?[X]:((~old(X)|quiet(X)))))&
(![X]:(~funny(X)<=>(~curious(X)&~patient(X))))&
(((curious(lucy)<~>old(lucy)))<=>(happy(susan)))&
(![X]:((quiet(X)&strong(X))=>(~happy(X)<~>patient(X)... | ~patient(alice) | [] | null | 0 |
Everyone who is either not patient or funny is both not kind and rich. If someone is both strong and not curious then someone is either patient or curious. Everyone who is both brave and generous is rich or kind. Everyone who is not humble is not rich or not happy and vice versa. Everyone who is not wise is either not ... | Alice is rich. | entailment | (![X]:((~patient(X)<~>funny(X))=>(~kind(X)&rich(X))))&
((?[X]:((strong(X)&~curious(X))))=>(?[X]:((patient(X)<~>curious(X)))))&
(![X]:((brave(X)&generous(X))=>(rich(X)|kind(X))))&
(![X]:(~humble(X)<=>(~rich(X)|~happy(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>humble(X))))&
((~creative(mary))<=>(?[X]:((~wise(X)<~>wise(X)))))... | rich(alice) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2466694644286649650717876
% SZS output start Proof for 2466694644286649650717876
4. ! [X0] : (~humble(X0) <=> (~happy(X0) | ~rich(X0))) [input p3]
11. ! [X0] : (~humble(X0) <=> rich(X0)) [input p10]
24. ~rich(alice) [input hypothesis]
45. ! [X0] : ((~humble(X0) | (happy(X0) & rich(X0))) &... | 0 |
Everyone who is patient is both rich and kind.
If mary is not brave then someone is strong or not happy and vice versa.
If someone is not wise or not rich then someone is curious or kind.
Everyone who is both not rich and patient is not quiet or not old and vice versa.
If john is humble then susan is either not creativ... | Susan is rich. | entailment | (![X]:(patient(X)=>(rich(X)&kind(X))))&
((~brave(mary))<=>(?[X]:((strong(X)|~happy(X)))))&
((?[X]:((~wise(X)|~rich(X))))=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~quiet(X)|~old(X))))&
((humble(john))=>((~creative(susan)<~>funny(susan))))&
(![X]:(humble(X)<=>~calm(X)))&
(![X]:((~strong(X)<~>quiet... | rich(susan) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3808560181826991489410702
% SZS output start Proof for 3808560181826991489410702
1. ! [X0] : (patient(X0) => (kind(X0) & rich(X0))) [input p0]
4. ! [X0] : ((patient(X0) & ~rich(X0)) <=> (~old(X0) | ~quiet(X0))) [input p3]
6. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p5]
7. ! [X0] : ((~st... | 0 |
Everyone who is not rich or creative is old. Everyone who is either wise or generous is both not wise and wise and vice versa. If fred is either not wise or generous then alice is either not quiet or calm and vice versa. Everyone who is either not kind or calm is both calm and happy and vice versa. Everyone who is eith... | Paul is not funny. | entailment | (![X]:((~rich(X)|creative(X))=>old(X)))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)&wise(X))))&
(((~wise(fred)<~>generous(fred)))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:((~kind(X)<~>calm(X))<=>(calm(X)&happy(X))))&
(![X]:((~kind(X)<~>patient(X))=>(~happy(X)&generous(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(... | ~funny(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2448820211058008615157427
% SZS output start Proof for 2448820211058008615157427
12. ! [X0] : ((humble(X0) & ~funny(X0)) <=> (rich(X0) | funny(X0))) [input p11]
24. funny(paul) [input hypothesis]
56. ! [X0] : (((humble(X0) & ~funny(X0)) | (~rich(X0) & ~funny(X0))) & ((rich(X0) | funny(X0)... | 0 |
Everyone who is kind or not brave is both not strong and not brave.
If susan is tall or not happy then someone is both creative and wise and vice versa.
Everyone who is not curious or patient is both brave and not generous and vice versa.
Everyone who is either funny or quiet is either old or not tall and vice versa.
E... | John is not generous. | neutral | (![X]:((kind(X)|~brave(X))=>(~strong(X)&~brave(X))))&
(((tall(susan)|~happy(susan)))<=>(?[X]:((creative(X)&wise(X)))))&
(![X]:((~curious(X)|patient(X))<=>(brave(X)&~generous(X))))&
(![X]:((funny(X)<~>quiet(X))<=>(old(X)<~>~tall(X))))&
(![X]:(~generous(X)=>wise(X)))&
(![X]:(~strong(X)=>(~humble(X)&generous(X))))&
(![X]:... | ~generous(john) | [] | null | 0 |
Everyone who is either old or patient is not strong or not creative and vice versa.
Everyone who is kind or not rich is either not curious or curious.
If susan is both calm and not creative then paul is creative.
Everyone who is both not curious and curious is quiet.
If someone is quiet or funny then someone is rich an... | Fred is tall. | contradiction | (![X]:((old(X)<~>patient(X))<=>(~strong(X)|~creative(X))))&
(![X]:((kind(X)|~rich(X))=>(~curious(X)<~>curious(X))))&
(((calm(susan)&~creative(susan)))=>(creative(paul)))&
(![X]:((~curious(X)&curious(X))=>quiet(X)))&
((?[X]:((quiet(X)|funny(X))))<=>(?[X]:(rich(X))))&
(![X]:((funny(X)<~>tall(X))<=>(rich(X)|brave(X))))&
(... | tall(fred) | [
"p5",
"p8",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5541099257763849566225911
% SZS output start Proof for 5541099257763849566225911
6. ! [X0] : ((funny(X0) <~> tall(X0)) <=> (brave(X0) | rich(X0))) [input p5]
9. ! [X0] : (creative(X0) <=> (funny(X0) <~> old(X0))) [input p8]
12. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred... | 0 |
Everyone who is both not happy and brave is both strong and not wise and vice versa.
Everyone who is either patient or quiet is kind or calm and vice versa.
Everyone who is both not patient and strong is either not creative or not tall and vice versa.
Everyone who is generous is either generous or curious.
If someone i... | Mary is calm. | entailment | (![X]:((~happy(X)&brave(X))<=>(strong(X)&~wise(X))))&
(![X]:((patient(X)<~>quiet(X))<=>(kind(X)|calm(X))))&
(![X]:((~patient(X)&strong(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:(generous(X)=>(generous(X)<~>curious(X))))&
((?[X]:((~curious(X)<~>curious(X))))<=>(humble(paul)))&
(![X]:((~rich(X)|~calm(X))<=>(~calm(X)<~>~br... | calm(mary) | [
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5495416659308644797545444
% SZS output start Proof for 5495416659308644797545444
6. ! [X0] : ((~calm(X0) | ~rich(X0)) <=> (~calm(X0) <~> ~brave(X0))) [input p5]
9. ! [X0] : (strong(X0) <=> (brave(X0) | ~quiet(X0))) [input p8]
18. ~curious(mary) & ~strong(mary) [input p17]
25. ~calm(mary) ... | 0 |
If fred is not quiet or humble then susan is patient or happy. If someone is not kind or kind then someone is both not calm and not happy and vice versa. If someone is both tall and quiet then someone is either patient or strong and vice versa. Everyone who is rich is not tall or not wise. Everyone who is either not cr... | Fred is quiet. | neutral | (((~quiet(fred)|humble(fred)))=>((patient(susan)|happy(susan))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~calm(X)&~happy(X)))))&
((?[X]:((tall(X)&quiet(X))))<=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:(rich(X)=>(~tall(X)|~wise(X))))&
(![X]:((~creative(X)<~>patient(X))=>(patient(X)&~generous(X))))&
((?[X]:((~creative(X... | quiet(fred) | [] | null | 0 |
Everyone who is either not humble or not old is either not wise or not quiet.
Everyone who is either tall or brave is both funny and not rich and vice versa.
Everyone who is either happy or creative is both rich and not calm.
Everyone who is both quiet and curious is happy or tall and vice versa.
If john is wise then j... | John is funny. | neutral | (![X]:((~humble(X)<~>~old(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((tall(X)<~>brave(X))<=>(funny(X)&~rich(X))))&
(![X]:((happy(X)<~>creative(X))=>(rich(X)&~calm(X))))&
(![X]:((quiet(X)&curious(X))<=>(happy(X)|tall(X))))&
((wise(john))=>(patient(john)))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X))))... | funny(john) | [] | null | 0 |
Everyone who is calm is old or not creative and vice versa. If alice is either not wise or old then lucy is not humble or old and vice versa. Everyone who is both generous and not funny is not curious and vice versa. Everyone who is either not brave or not generous is wise or tall and vice versa. If someone is either n... | Lucy is not funny. | entailment | (![X]:(calm(X)<=>(old(X)|~creative(X))))&
(((~wise(alice)<~>old(alice)))<=>((~humble(lucy)|old(lucy))))&
(![X]:((generous(X)&~funny(X))<=>~curious(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&kind(X))<=>(~tall(X)|... | ~funny(lucy) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3916301245660895371486222
% SZS output start Proof for 3916301245660895371486222
3. ! [X0] : ((~funny(X0) & generous(X0)) <=> ~curious(X0)) [input p2]
8. ! [X0] : (curious(X0) <=> (~patient(X0) & ~curious(X0))) [input p7]
22. funny(lucy) [input hypothesis]
32. ! [X0] : (((~funny(X0) & gen... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Paul is not tall. | entailment | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | ~tall(paul) | [
"p1",
"p2",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 513905103470317875078978
% SZS output start Proof for 513905103470317875078978
2. ! [X0] : ((~old(X0) | ~generous(X0)) => creative(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0))) [input p2]
5. ! [X0] : (~funny(X0) => ~generous(X0)) [input p4]
10. ! [X0] : (~rich(X... | 0 |
Everyone who is patient is patient or not generous and vice versa.
Everyone who is not humble is either rich or not rich and vice versa.
Everyone who is humble is both humble and not curious and vice versa.
If someone is not tall then paul is tall or not generous and vice versa.
Everyone who is both not calm and funny ... | Lucy is old. | entailment | (![X]:(patient(X)<=>(patient(X)|~generous(X))))&
(![X]:(~humble(X)<=>(rich(X)<~>~rich(X))))&
(![X]:(humble(X)<=>(humble(X)&~curious(X))))&
((?[X]:(~tall(X)))<=>((tall(paul)|~generous(paul))))&
(![X]:((~calm(X)&funny(X))<=>(~old(X)|rich(X))))&
(![X]:(~old(X)<=>(kind(X)<~>rich(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>(?[... | old(lucy) | [
"p4",
"p5",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8562532671683784553129500
% SZS output start Proof for 8562532671683784553129500
5. ! [X0] : ((funny(X0) & ~calm(X0)) <=> (rich(X0) | ~old(X0))) [input p4]
6. ! [X0] : (~old(X0) <=> (kind(X0) <~> rich(X0))) [input p5]
9. ? [X0] : (~funny(X0) & ~tall(X0)) <=> (brave(lucy) & ~rich(lucy)) [i... | 0 |
If john is strong or funny then someone is generous and vice versa.
Everyone who is patient is either not wise or tall and vice versa.
Everyone who is either kind or calm is not funny or not calm and vice versa.
Everyone who is either not calm or generous is brave and vice versa.
If someone is both tall and not rich th... | Paul is not creative. | contradiction | (((strong(john)|funny(john)))<=>(?[X]:(generous(X))))&
(![X]:(patient(X)<=>(~wise(X)<~>tall(X))))&
(![X]:((kind(X)<~>calm(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~calm(X)<~>generous(X))<=>brave(X)))&
((?[X]:((tall(X)&~rich(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~wise(X)<=>(wise(X)&~old(X))))&
((?[X]:((~wise(X)<~>strong(X))... | ~creative(paul) | [
"p1",
"p5",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7356142813392832550703303
% SZS output start Proof for 7356142813392832550703303
2. ! [X0] : (patient(X0) <=> (~wise(X0) <~> tall(X0))) [input p1]
6. ! [X0] : (~wise(X0) <=> (~old(X0) & wise(X0))) [input p5]
12. ! [X0] : ((~patient(X0) | quiet(X0)) <=> (tall(X0) | creative(X0))) [input p1... | 0 |
Everyone who is either wise or kind is tall or not old and vice versa.
Everyone who is not humble is either not strong or not tall.
Everyone who is both rich and funny is both creative and funny and vice versa.
Everyone who is not generous or not calm is either brave or creative.
Everyone who is generous is either not ... | Alice is quiet. | contradiction | (![X]:((wise(X)<~>kind(X))<=>(tall(X)|~old(X))))&
(![X]:(~humble(X)=>(~strong(X)<~>~tall(X))))&
(![X]:((rich(X)&funny(X))<=>(creative(X)&funny(X))))&
(![X]:((~generous(X)|~calm(X))=>(brave(X)<~>creative(X))))&
(![X]:(generous(X)=>(~strong(X)<~>~curious(X))))&
(![X]:((~brave(X)|~old(X))=>(patient(X)&~humble(X))))&
(![X]... | quiet(alice) | [
"p6",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5759132836693961760900230
% SZS output start Proof for 5759132836693961760900230
7. ! [X0] : (happy(X0) <=> ~brave(X0)) [input p6]
9. ! [X0] : ((calm(X0) <~> brave(X0)) => (funny(X0) & ~quiet(X0))) [input p8]
14. ! [X0] : (quiet(X0) => (old(X0) & calm(X0))) [input p13]
17. happy(alice) <~... | 0 |
Everyone who is not curious or tall is rich or old and vice versa. If someone is either patient or not wise then lucy is either patient or funny. If lucy is either not generous or not patient then lucy is both tall and not brave and vice versa. If someone is not humble then john is creative and vice versa. If mary is e... | Susan is not funny. | entailment | (![X]:((~curious(X)|tall(X))<=>(rich(X)|old(X))))&
((?[X]:((patient(X)<~>~wise(X))))=>((patient(lucy)<~>funny(lucy))))&
(((~generous(lucy)<~>~patient(lucy)))<=>((tall(lucy)&~brave(lucy))))&
((?[X]:(~humble(X)))<=>(creative(john)))&
(((~brave(mary)<~>~wise(mary)))<=>((funny(john)|~kind(john))))&
((?[X]:(kind(X)))<=>(?[X... | ~funny(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3365920285517051462731951
% SZS output start Proof for 3365920285517051462731951
10. (~funny(lucy) & funny(lucy)) <=> ? [X0] : (~patient(X0) | funny(X0)) [input p9]
24. funny(susan) [input hypothesis]
62. ((~funny(lucy) & funny(lucy)) | ! [X0] : (patient(X0) & ~funny(X0))) & (? [X0] : (~p... | 0 |
If someone is not tall then paul is not old or not strong and vice versa.
Everyone who is both funny and not funny is both not kind and happy and vice versa.
If alice is not quiet then someone is either not funny or curious and vice versa.
Everyone who is either happy or not funny is happy or not creative and vice vers... | Mary is not kind. | neutral | ((?[X]:(~tall(X)))<=>((~old(paul)|~strong(paul))))&
(![X]:((funny(X)&~funny(X))<=>(~kind(X)&happy(X))))&
((~quiet(alice))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((happy(X)<~>~funny(X))<=>(happy(X)|~creative(X))))&
(![X]:((~creative(X)&~patient(X))=>~old(X)))&
((happy(alice))=>(?[X]:((~funny(X)&~old(X)))))&
((?[X]:... | ~kind(mary) | [] | null | 0 |
Everyone who is brave or generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If someone is either not kind or tall then someone is not humble. Everyone who is both humble a... | Alice is not happy. | entailment | (![X]:((brave(X)|generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~kind(X)&creative(X))=>calm(X... | ~happy(alice) | [
"p1",
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6411746976661872494415416
% SZS output start Proof for 6411746976661872494415416
2. ! [X0] : ((~calm(X0) | ~curious(X0)) => (strong(X0) <~> ~humble(X0))) [input p1]
5. ! [X0] : ((~funny(X0) & humble(X0)) <=> (~strong(X0) <~> ~happy(X0))) [input p4]
9. ! [X0] : ((~calm(X0) | ~strong(X0)) <... | 0 |
If someone is both not kind and not old then lucy is either not funny or not kind and vice versa.
Everyone who is rich or not tall is both not calm and not wise.
Everyone who is brave or creative is strong or not generous and vice versa.
If susan is not creative then susan is tall or wise.
Everyone who is either rich o... | John is patient. | entailment | ((?[X]:((~kind(X)&~old(X))))<=>((~funny(lucy)<~>~kind(lucy))))&
(![X]:((rich(X)|~tall(X))=>(~calm(X)&~wise(X))))&
(![X]:((brave(X)|creative(X))<=>(strong(X)|~generous(X))))&
((~creative(susan))=>((tall(susan)|wise(susan))))&
(![X]:((rich(X)<~>~old(X))<=>(patient(X)&tall(X))))&
((rich(susan))=>(~curious(paul)))&
(![X]:(... | patient(john) | [
"p1",
"p4",
"p6",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2937597344767503221544820
% SZS output start Proof for 2937597344767503221544820
2. ! [X0] : ((~tall(X0) | rich(X0)) => (~wise(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((rich(X0) <~> ~old(X0)) <=> (tall(X0) & patient(X0))) [input p4]
7. ! [X0] : (~quiet(X0) => (~quiet(X0) <~> wise(X0))) [... | 0 |
If alice is not tall then alice is not creative and vice versa.
If lucy is not rich or tall then someone is strong.
If fred is both not funny and not curious then paul is either not quiet or not tall and vice versa.
Everyone who is old or generous is old or patient.
If someone is both not generous and rich then someone... | Mary is not funny. | contradiction | ((~tall(alice))<=>(~creative(alice)))&
(((~rich(lucy)|tall(lucy)))=>(?[X]:(strong(X))))&
(((~funny(fred)&~curious(fred)))<=>((~quiet(paul)<~>~tall(paul))))&
(![X]:((old(X)|generous(X))=>(old(X)|patient(X))))&
((?[X]:((~generous(X)&rich(X))))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:(~tall(X)=>(~happy(X)|~quiet(X))))&
(... | ~funny(mary) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7622285200478674329395487
% SZS output start Proof for 7622285200478674329395487
8. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (~tall(X0) | ~funny(X0))) [input p7]
20. ~curious(mary) & quiet(mary) [input p19]
25. ~funny(mary) [input hypothesis]
51. ! [X0] : (((~funny(X0) & ~quiet(X0)) | (tal... | 0 |
If mary is either not generous or humble then someone is not humble and vice versa.
If mary is both funny and generous then someone is wise or not strong.
If susan is not strong or not quiet then someone is not rich or curious.
Everyone who is wise is both not wise and not old and vice versa.
Everyone who is either not... | Susan is not creative. | entailment | (((~generous(mary)<~>humble(mary)))<=>(?[X]:(~humble(X))))&
(((funny(mary)&generous(mary)))=>(?[X]:((wise(X)|~strong(X)))))&
(((~strong(susan)|~quiet(susan)))=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:(wise(X)<=>(~wise(X)&~old(X))))&
(![X]:((~curious(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
((?[X]:((creative(X)&brave(X)))... | ~creative(susan) | [
"p3",
"p4",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3279685284019070006977932
% SZS output start Proof for 3279685284019070006977932
4. ! [X0] : (wise(X0) <=> (~old(X0) & ~wise(X0))) [input p3]
5. ! [X0] : ((~curious(X0) <~> ~happy(X0)) => (~funny(X0) & wise(X0))) [input p4]
10. ! [X0] : ((~curious(X0) & brave(X0)) <=> curious(X0)) [input ... | 0 |
Everyone who is kind or wise is both tall and curious and vice versa. Everyone who is tall or quiet is both not happy and not humble. Everyone who is both not creative and not old is not creative or happy and vice versa. If someone is both not quiet and funny then someone is both curious and old and vice versa. Everyon... | Fred is not curious. | contradiction | (![X]:((kind(X)|wise(X))<=>(tall(X)&curious(X))))&
(![X]:((tall(X)|quiet(X))=>(~happy(X)&~humble(X))))&
(![X]:((~creative(X)&~old(X))<=>(~creative(X)|happy(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~generous(X)&~quiet(X))<=>(happy(X)|wise(X))))&
(![X]:((kind(X)<~>humble(X))=>~patien... | ~curious(fred) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4064276230966858675965675
% SZS output start Proof for 4064276230966858675965675
1. ! [X0] : ((wise(X0) | kind(X0)) <=> (curious(X0) & tall(X0))) [input p0]
17. kind(fred) [input p16]
24. ~curious(fred) [input hypothesis]
35. ! [X0] : (((wise(X0) | kind(X0)) | (~curious(X0) | ~tall(X0))) ... | 0 |
Everyone who is not quiet or brave is happy and vice versa. If someone is either tall or wise then paul is either not funny or humble. If lucy is not quiet then someone is both tall and humble and vice versa. If lucy is not wise then someone is either not generous or happy. Everyone who is tall is old or not quiet. If ... | Susan is not generous. | contradiction | (![X]:((~quiet(X)|brave(X))<=>happy(X)))&
((?[X]:((tall(X)<~>wise(X))))=>((~funny(paul)<~>humble(paul))))&
((~quiet(lucy))<=>(?[X]:((tall(X)&humble(X)))))&
((~wise(lucy))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:(tall(X)=>(old(X)|~quiet(X))))&
(((calm(mary)|brave(mary)))=>(?[X]:((~wise(X)<~>tall(X)))))&
((?[X]:((kin... | ~generous(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4376210272248684917508407
% SZS output start Proof for 4376210272248684917508407
10. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> (generous(X0) & ~creative(X0))) [input p9]
25. ~generous(susan) [input hypothesis]
59. ! [X0] : (((~strong(X0) | ~generous(X0)) | (~generous(X0) | creative(X0))... | 0 |
If someone is not tall or patient then john is both not calm and not brave and vice versa.
If someone is not old or not curious then someone is both not brave and strong and vice versa.
If fred is quiet then john is both not strong and not curious.
Everyone who is not strong is both quiet and patient and vice versa.
Ev... | Alice is strong. | entailment | ((?[X]:((~tall(X)|patient(X))))<=>((~calm(john)&~brave(john))))&
((?[X]:((~old(X)|~curious(X))))<=>(?[X]:((~brave(X)&strong(X)))))&
((quiet(fred))=>((~strong(john)&~curious(john))))&
(![X]:(~strong(X)<=>(quiet(X)&patient(X))))&
(![X]:((wise(X)<~>~strong(X))=>~patient(X)))&
(![X]:((~old(X)|tall(X))=>(~kind(X)<~>generous... | strong(alice) | [
"p3",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5610492431118526758321224
% SZS output start Proof for 5610492431118526758321224
4. ! [X0] : (~strong(X0) <=> (patient(X0) & quiet(X0))) [input p3]
8. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> generous(X0)) [input p7]
13. ! [X0] : ((wise(X0) | kind(X0)) => (~funny(X0) <~> patient(X0)))... | 0 |
Everyone who is both not curious and not kind is not calm or not brave. Everyone who is either rich or calm is both creative and not happy. If someone is both rich and not quiet then john is both not old and not kind. If someone is not quiet then someone is either creative or brave. Everyone who is either humble or not... | Paul is not curious. | contradiction | (![X]:((~curious(X)&~kind(X))=>(~calm(X)|~brave(X))))&
(![X]:((rich(X)<~>calm(X))=>(creative(X)&~happy(X))))&
((?[X]:((rich(X)&~quiet(X))))=>((~old(john)&~kind(john))))&
((?[X]:(~quiet(X)))=>(?[X]:((creative(X)<~>brave(X)))))&
(![X]:((humble(X)<~>~rich(X))<=>(rich(X)|~funny(X))))&
(![X]:(strong(X)<=>(strong(X)|funny(X)... | ~curious(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3397917576008024368792054
% SZS output start Proof for 3397917576008024368792054
20. old(paul) & curious(paul) [input p19]
25. ~curious(paul) [input hypothesis]
147. curious(paul) [cnf transformation 20]
154. ~curious(paul) [cnf transformation 25]
345. $false [subsumption resolution 154,1... | 0 |
If paul is either not humble or generous then someone is both patient and tall. If lucy is creative then someone is either not patient or creative and vice versa. Everyone who is not brave is not calm. If susan is not quiet then alice is not tall or quiet and vice versa. If susan is generous or patient then mary is bot... | Paul is humble. | contradiction | (((~humble(paul)<~>generous(paul)))=>(?[X]:((patient(X)&tall(X)))))&
((creative(lucy))<=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:(~brave(X)=>~calm(X)))&
((~quiet(susan))<=>((~tall(alice)|quiet(alice))))&
(((generous(susan)|patient(susan)))=>((wise(mary)&old(mary))))&
((?[X]:(~curious(X)))=>((creative(alice)|calm(a... | humble(paul) | [
"p6",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5221052658941554766440678
% SZS output start Proof for 5221052658941554766440678
7. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> ~curious(X0)) [input p6]
11. ? [X0] : (wise(X0) | ~patient(X0)) => (~patient(alice) & brave(alice)) [input p10]
12. ! [X0] : ((humble(X0) <~> ~quiet(X0)) <=> (~bra... | 0 |
Everyone who is not curious or funny is not humble.
If fred is funny or brave then susan is not wise.
If susan is not old then alice is both not calm and patient and vice versa.
If someone is not calm then paul is both not happy and strong and vice versa.
Everyone who is both curious and not wise is strong and vice ver... | Susan is not quiet. | entailment | (![X]:((~curious(X)|funny(X))=>~humble(X)))&
(((funny(fred)|brave(fred)))=>(~wise(susan)))&
((~old(susan))<=>((~calm(alice)&patient(alice))))&
((?[X]:(~calm(X)))<=>((~happy(paul)&strong(paul))))&
(![X]:((curious(X)&~wise(X))<=>strong(X)))&
(![X]:((old(X)&~creative(X))=>(calm(X)|~calm(X))))&
(![X]:(old(X)=>(happy(X)<~>~... | ~quiet(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8671740163335435001834038
% SZS output start Proof for 8671740163335435001834038
11. ! [X0] : ((kind(X0) | quiet(X0)) <=> (~quiet(X0) & ~calm(X0))) [input p10]
25. quiet(susan) [input hypothesis]
53. ! [X0] : (((kind(X0) | quiet(X0)) | (quiet(X0) | calm(X0))) & ((~quiet(X0) & ~calm(X0)) |... | 0 |
If someone is both not wise and kind then mary is either tall or funny. Everyone who is both not patient and quiet is generous and vice versa. Everyone who is both rich and patient is either happy or rich and vice versa. If mary is patient or not tall then mary is not kind or not funny and vice versa. If someone is eit... | John is not old. | neutral | ((?[X]:((~wise(X)&kind(X))))=>((tall(mary)<~>funny(mary))))&
(![X]:((~patient(X)&quiet(X))<=>generous(X)))&
(![X]:((rich(X)&patient(X))<=>(happy(X)<~>rich(X))))&
(((patient(mary)|~tall(mary)))<=>((~kind(mary)|~funny(mary))))&
((?[X]:((humble(X)<~>calm(X))))=>(?[X]:(~kind(X))))&
(![X]:((funny(X)<~>~funny(X))<=>~kind(X))... | ~old(john) | [] | null | 0 |
Everyone who is either not happy or not creative is strong or brave.
If someone is not brave or funny then someone is both not happy and not humble and vice versa.
Everyone who is not old or kind is both not calm and not generous and vice versa.
Everyone who is either not old or not creative is both quiet and funny and... | John is quiet. | entailment | (![X]:((~happy(X)<~>~creative(X))=>(strong(X)|brave(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:((~old(X)|kind(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~old(X)<~>~creative(X))<=>(quiet(X)&funny(X))))&
((calm(mary))=>((~quiet(john)|creative(john))))&
((~wise(mary))=>(?[X]:(~curious(X)... | quiet(john) | [
"p2",
"p3",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 772524121057171947930231
% SZS output start Proof for 772524121057171947930231
3. ! [X0] : ((kind(X0) | ~old(X0)) <=> (~generous(X0) & ~calm(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> (funny(X0) & quiet(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | ~humble(X0)) => quiet(... | 0 |
Everyone who is not kind is either not strong or brave.
Everyone who is calm is both not brave and curious.
Everyone who is strong is not curious or quiet.
If someone is quiet then susan is both rich and creative and vice versa.
If lucy is either funny or happy then someone is not strong and vice versa.
Everyone who is... | John is tall. | contradiction | (![X]:(~kind(X)=>(~strong(X)<~>brave(X))))&
(![X]:(calm(X)=>(~brave(X)&curious(X))))&
(![X]:(strong(X)=>(~curious(X)|quiet(X))))&
((?[X]:(quiet(X)))<=>((rich(susan)&creative(susan))))&
(((funny(lucy)<~>happy(lucy)))<=>(?[X]:(~strong(X))))&
(![X]:(~rich(X)=>(happy(X)&kind(X))))&
(((~patient(fred)<~>~calm(fred)))=>((~tal... | tall(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1654869194552023025231226
% SZS output start Proof for 1654869194552023025231226
20. ~tall(john) & old(john) [input p19]
25. tall(john) [input hypothesis]
128. ~tall(john) [cnf transformation 20]
134. tall(john) [cnf transformation 25]
274. $false [subsumption resolution 134,128]
% SZS ou... | 0 |
Everyone who is old is tall and vice versa.
Everyone who is either quiet or generous is both not rich and not funny.
Everyone who is either not strong or patient is humble or wise and vice versa.
If lucy is both quiet and not quiet then susan is curious and vice versa.
Everyone who is either not quiet or not tall is ei... | Lucy is not calm. | entailment | (![X]:(old(X)<=>tall(X)))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creative(X))))&
((?[X]:((kind(X)<~>~brave(X))))<=>(?[X]:((patient(X)|kind(X)))))&... | ~calm(lucy) | [
"p1",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8784771370070855082120874
% SZS output start Proof for 8784771370070855082120874
2. ! [X0] : ((quiet(X0) <~> generous(X0)) => (~funny(X0) & ~rich(X0))) [input p1]
11. ! [X0] : (~generous(X0) <=> (kind(X0) | brave(X0))) [input p10]
12. ! [X0] : ((calm(X0) | strong(X0)) <=> quiet(X0)) [inpu... | 0 |
Everyone who is rich is not happy or not curious.
Everyone who is both brave and not old is either not kind or not generous.
If someone is either generous or not quiet then lucy is not calm and vice versa.
If john is calm then someone is not tall and vice versa.
If alice is both not happy and not patient then someone i... | Fred is happy. | entailment | (![X]:(rich(X)=>(~happy(X)|~curious(X))))&
(![X]:((brave(X)&~old(X))=>(~kind(X)<~>~generous(X))))&
((?[X]:((generous(X)<~>~quiet(X))))<=>(~calm(lucy)))&
((calm(john))<=>(?[X]:(~tall(X))))&
(((~happy(alice)&~patient(alice)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~calm(X)<~>patient(X))))&
((?[X]:(funny(X... | happy(fred) | [
"p3",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9076593422682610233673203
% SZS output start Proof for 9076593422682610233673203
4. calm(john) <=> ? [X0] : ~tall(X0) [input p3]
9. ? [X0] : ~tall(X0) => brave(john) [input p8]
13. (happy(fred) & ~brave(fred)) <=> ? [X0] : brave(X0) [input p12]
22. ~humble(john) & calm(john) [input p21]
2... | 0 |
Everyone who is either not calm or not brave is not patient and vice versa. Everyone who is either not generous or not brave is both not happy and not funny and vice versa. Everyone who is curious is either not kind or kind and vice versa. Everyone who is kind or not rich is not wise or not strong. Everyone who is not ... | Fred is not rich. | contradiction | (![X]:((~calm(X)<~>~brave(X))<=>~patient(X)))&
(![X]:((~generous(X)<~>~brave(X))<=>(~happy(X)&~funny(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>kind(X))))&
(![X]:((kind(X)|~rich(X))=>(~wise(X)|~strong(X))))&
(![X]:(~old(X)<=>(kind(X)|~funny(X))))&
((?[X]:((brave(X)<~>patient(X))))<=>((~strong(lucy)<~>generous(lucy))))&
(![... | ~rich(fred) | [
"p1",
"p2",
"p4",
"p6",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3485951223153087584748771
% SZS output start Proof for 3485951223153087584748771
2. ! [X0] : ((~generous(X0) <~> ~brave(X0)) <=> (~funny(X0) & ~happy(X0))) [input p1]
3. ! [X0] : (curious(X0) <=> (~kind(X0) <~> kind(X0))) [input p2]
5. ! [X0] : (~old(X0) <=> (~funny(X0) | kind(X0))) [inpu... | 0 |
If alice is both calm and not tall then fred is quiet.
If someone is either not kind or not curious then john is both old and not tall and vice versa.
Everyone who is both not funny and not creative is not kind.
Everyone who is either not old or not brave is either happy or not kind.
If someone is either not creative o... | Alice is generous. | entailment | (((calm(alice)&~tall(alice)))=>(quiet(fred)))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((old(john)&~tall(john))))&
(![X]:((~funny(X)&~creative(X))=>~kind(X)))&
(![X]:((~old(X)<~>~brave(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:((calm(X)|~brave(X))<=>~calm(X))... | generous(alice) | [
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4580538519542123662782154
% SZS output start Proof for 4580538519542123662782154
5. ? [X0] : (~creative(X0) <~> happy(X0)) <=> ? [X0] : (~quiet(X0) & ~wise(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~calm(X0)) [input p5]
10. ! [X0] : (~calm(X0) => (calm(X0) <~> wise(X0))) [i... | 0 |
Everyone who is both not rich and not brave is curious and vice versa. If lucy is either not patient or creative then someone is not old or not creative and vice versa. Everyone who is both tall and not calm is both strong and creative. Everyone who is either not happy or not patient is both not calm and not old and vi... | Susan is patient. | neutral | (![X]:((~rich(X)&~brave(X))<=>curious(X)))&
(((~patient(lucy)<~>creative(lucy)))<=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((tall(X)&~calm(X))=>(strong(X)&creative(X))))&
(![X]:((~happy(X)<~>~patient(X))<=>(~calm(X)&~old(X))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(... | patient(susan) | [] | null | 0 |
Everyone who is not kind is both creative and generous and vice versa.
If someone is not funny or not generous then alice is creative or happy and vice versa.
Everyone who is either humble or wise is not curious.
If someone is not humble then someone is wise or strong and vice versa.
Everyone who is funny is old or fun... | Mary is not happy. | neutral | (![X]:(~kind(X)<=>(creative(X)&generous(X))))&
((?[X]:((~funny(X)|~generous(X))))<=>((creative(alice)|happy(alice))))&
(![X]:((humble(X)<~>wise(X))=>~curious(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((wise(X)|strong(X)))))&
(![X]:(funny(X)=>(old(X)|funny(X))))&
((?[X]:((old(X)&generous(X))))<=>(?[X]:((~wise(X)|creative(X))))... | ~happy(mary) | [] | null | 0 |
Everyone who is both not creative and not old is either wise or happy.
Everyone who is not strong is either not happy or kind.
Everyone who is not happy is both not rich and not happy and vice versa.
If fred is either funny or happy then alice is not rich.
Everyone who is not curious or not tall is not happy or not old... | Lucy is not tall. | neutral | (![X]:((~creative(X)&~old(X))=>(wise(X)<~>happy(X))))&
(![X]:(~strong(X)=>(~happy(X)<~>kind(X))))&
(![X]:(~happy(X)<=>(~rich(X)&~happy(X))))&
(((funny(fred)<~>happy(fred)))=>(~rich(alice)))&
(![X]:((~curious(X)|~tall(X))=>(~happy(X)|~old(X))))&
(((quiet(fred)<~>funny(fred)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:((... | ~tall(lucy) | [] | null | 0 |
Everyone who is creative is both rich and not patient and vice versa. Everyone who is either not funny or old is patient or not calm. If someone is either wise or patient then someone is either not strong or rich. If paul is either not funny or quiet then fred is not generous or not brave and vice versa. If someone is ... | Fred is not humble. | entailment | (![X]:(creative(X)<=>(rich(X)&~patient(X))))&
(![X]:((~funny(X)<~>old(X))=>(patient(X)|~calm(X))))&
((?[X]:((wise(X)<~>patient(X))))=>(?[X]:((~strong(X)<~>rich(X)))))&
(((~funny(paul)<~>quiet(paul)))<=>((~generous(fred)|~brave(fred))))&
((?[X]:(~generous(X)))=>(?[X]:((wise(X)<~>old(X)))))&
((?[X]:((~kind(X)|patient(X))... | ~humble(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5129319166426332635380238
% SZS output start Proof for 5129319166426332635380238
9. ! [X0] : ((humble(X0) | ~wise(X0)) => ~humble(X0)) [input p8]
25. humble(fred) [input hypothesis]
35. ! [X0] : (~humble(X0) | (~humble(X0) & wise(X0))) [ennf transformation 9]
112. ~humble(X0) | ~humble(X0... | 0 |
If someone is old then someone is both happy and not creative and vice versa.
If alice is both not wise and happy then lucy is not generous or kind.
Everyone who is not happy is happy or not strong and vice versa.
If paul is either funny or not kind then fred is not kind.
If fred is funny then fred is humble and vice v... | Lucy is calm. | contradiction | ((?[X]:(old(X)))<=>(?[X]:((happy(X)&~creative(X)))))&
(((~wise(alice)&happy(alice)))=>((~generous(lucy)|kind(lucy))))&
(![X]:(~happy(X)<=>(happy(X)|~strong(X))))&
(((funny(paul)<~>~kind(paul)))=>(~kind(fred)))&
((funny(fred))<=>(humble(fred)))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
((~rich(john))<=>((~old(lucy)&~fu... | calm(lucy) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6113751750366413687413935
% SZS output start Proof for 6113751750366413687413935
3. ! [X0] : (~happy(X0) <=> (~strong(X0) | happy(X0))) [input p2]
6. ? [X0] : strong(X0) <=> ? [X0] : funny(X0) [input p5]
10. ! [X0] : ((~calm(X0) & creative(X0)) <=> (calm(X0) <~> funny(X0))) [input p9]
21.... | 0 |
If someone is either not patient or funny then fred is not curious. If someone is either wise or brave then john is not brave. If someone is both creative and patient then someone is either patient or not quiet. Everyone who is both not quiet and wise is tall or old and vice versa. If someone is not quiet then someone ... | Susan is not calm. | entailment | ((?[X]:((~patient(X)<~>funny(X))))=>(~curious(fred)))&
((?[X]:((wise(X)<~>brave(X))))=>(~brave(john)))&
((?[X]:((creative(X)&patient(X))))=>(?[X]:((patient(X)<~>~quiet(X)))))&
(![X]:((~quiet(X)&wise(X))<=>(tall(X)|old(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((rich(X)&~patient(X)))))&
((?[X]:(~funny(X)))=>(rich(paul)))&
((?[X... | ~calm(susan) | [
"p3",
"p5",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 727953465414215875014974
% SZS output start Proof for 727953465414215875014974
4. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> (old(X0) | tall(X0))) [input p3]
6. ? [X0] : ~funny(X0) => rich(paul) [input p5]
7. ? [X0] : (generous(X0) | rich(X0)) <=> (~brave(alice) & old(alice)) [input p6]
8. ! [... | 0 |
Everyone who is either not brave or not strong is not quiet and vice versa.
If someone is either not funny or creative then fred is not curious and vice versa.
If someone is either not rich or not old then someone is either humble or not strong and vice versa.
Everyone who is not calm or not quiet is not quiet and vice... | Mary is not old. | neutral | (![X]:((~brave(X)<~>~strong(X))<=>~quiet(X)))&
((?[X]:((~funny(X)<~>creative(X))))<=>(~curious(fred)))&
((?[X]:((~rich(X)<~>~old(X))))<=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((~calm(X)|~quiet(X))<=>~quiet(X)))&
(![X]:((generous(X)&~funny(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((rich(X)|~tall(X))<=>(tall(X)<~>rich(X... | ~old(mary) | [] | null | 0 |
If mary is not happy then paul is not happy.
If susan is either not wise or not calm then alice is both not strong and strong.
Everyone who is quiet or generous is kind or brave and vice versa.
If someone is creative then someone is either quiet or strong and vice versa.
Everyone who is both funny and not kind is eithe... | Fred is creative. | contradiction | ((~happy(mary))=>(~happy(paul)))&
(((~wise(susan)<~>~calm(susan)))=>((~strong(alice)&strong(alice))))&
(![X]:((quiet(X)|generous(X))<=>(kind(X)|brave(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)<~>strong(X)))))&
(![X]:((funny(X)&~kind(X))<=>(~rich(X)<~>~generous(X))))&
((?[X]:((funny(X)<~>rich(X))))=>(?[X]:((~tall(X... | creative(fred) | [
"p6",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8779232452133990528917449
% SZS output start Proof for 8779232452133990528917449
7. ! [X0] : (~strong(X0) => (calm(X0) & humble(X0))) [input p6]
9. ! [X0] : (generous(X0) <=> (~humble(X0) & ~calm(X0))) [input p8]
11. ? [X0] : (tall(X0) | ~tall(X0)) => (~calm(fred) & ~tall(fred)) [input p1... | 0 |
If lucy is both not quiet and not calm then someone is both not patient and rich and vice versa. Everyone who is either not quiet or not generous is either brave or humble and vice versa. Everyone who is either not quiet or wise is either curious or patient. Everyone who is not funny or not curious is both rich and bra... | Mary is happy. | neutral | (((~quiet(lucy)&~calm(lucy)))<=>(?[X]:((~patient(X)&rich(X)))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(brave(X)<~>humble(X))))&
(![X]:((~quiet(X)<~>wise(X))=>(curious(X)<~>patient(X))))&
(![X]:((~funny(X)|~curious(X))=>(rich(X)&brave(X))))&
(![X]:((curious(X)<~>~brave(X))=>(~patient(X)|rich(X))))&
(![X]:((patient(X)&hap... | happy(mary) | [] | null | 0 |
Everyone who is both not old and brave is both tall and not humble.
If alice is not happy or not kind then someone is either not wise or not curious.
If someone is both not rich and curious then mary is not curious.
If someone is either not creative or happy then someone is either not happy or generous.
Everyone who is... | Alice is not tall. | entailment | (![X]:((~old(X)&brave(X))=>(tall(X)&~humble(X))))&
(((~happy(alice)|~kind(alice)))=>(?[X]:((~wise(X)<~>~curious(X)))))&
((?[X]:((~rich(X)&curious(X))))=>(~curious(mary)))&
((?[X]:((~creative(X)<~>happy(X))))=>(?[X]:((~happy(X)<~>generous(X)))))&
(![X]:((~curious(X)|brave(X))=>(~creative(X)<~>~kind(X))))&
(((~calm(lucy)... | ~tall(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3597794784822708695605303
% SZS output start Proof for 3597794784822708695605303
14. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> tall(X0)) [input p13]
25. tall(alice) [input hypothesis]
66. ! [X0] : (((~calm(X0) & ~tall(X0)) | ~tall(X0)) & (tall(X0) | (calm(X0) | tall(X0)))) [nnf transformation... | 0 |
Everyone who is both wise and generous is both not patient and not strong and vice versa.
If someone is either not brave or not patient then paul is not funny or not quiet.
Everyone who is both not happy and curious is patient and vice versa.
If mary is tall then someone is either not kind or not generous and vice vers... | Mary is tall. | entailment | (![X]:((wise(X)&generous(X))<=>(~patient(X)&~strong(X))))&
((?[X]:((~brave(X)<~>~patient(X))))=>((~funny(paul)|~quiet(paul))))&
(![X]:((~happy(X)&curious(X))<=>patient(X)))&
((tall(mary))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
(((~generous(mary)|~patient(mary)))<=>(?[X]:((patient(X)|~humble(X)))))&
(![X]:((brave(X)&~ri... | tall(mary) | [
"p2",
"p3",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 975717729076622967415259
% SZS output start Proof for 975717729076622967415259
3. ! [X0] : ((curious(X0) & ~happy(X0)) <=> patient(X0)) [input p2]
4. tall(mary) <=> ? [X0] : (~kind(X0) <~> ~generous(X0)) [input p3]
9. ! [X0] : (~kind(X0) <=> ~patient(X0)) [input p8]
11. ! [X0] : ((curious... | 0 |
If someone is not patient or not creative then susan is both creative and not quiet and vice versa. Everyone who is not brave is not rich or patient. If someone is either not wise or patient then fred is kind or quiet and vice versa. If someone is either happy or not funny then someone is not old and vice versa. If som... | Susan is strong. | contradiction | ((?[X]:((~patient(X)|~creative(X))))<=>((creative(susan)&~quiet(susan))))&
(![X]:(~brave(X)=>(~rich(X)|patient(X))))&
((?[X]:((~wise(X)<~>patient(X))))<=>((kind(fred)|quiet(fred))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((patient(X)|old(X))))=>(?[X]:((wise(X)&~kind(X)))))&
(((~kind(john)&calm(jo... | strong(susan) | [
"p0",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7562653219375896986362267
% SZS output start Proof for 7562653219375896986362267
1. ? [X0] : (~creative(X0) | ~patient(X0)) <=> (~quiet(susan) & creative(susan)) [input p0]
14. ! [X0] : (wise(X0) <=> funny(X0)) [input p13]
15. ! [X0] : ((~old(X0) & ~creative(X0)) <=> (strong(X0) <~> funny... | 0 |
If paul is both funny and not generous then susan is either wise or creative. Everyone who is kind is both not calm and tall and vice versa. Everyone who is not brave or creative is not happy. Everyone who is both brave and rich is quiet or not old and vice versa. Everyone who is both not quiet and funny is quiet or hu... | John is wise. | neutral | (((funny(paul)&~generous(paul)))=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(X))<=>(quiet(X)|~old(X))))&
(![X]:((~quiet(X)&funny(X))=>(quiet(X)|humble(X))))&
(![X]:((~quiet(X)|calm(X))<=>(creative(X)|~patient(X))))&
((~ge... | wise(john) | [] | null | 0 |
Everyone who is both not happy and old is strong.
If mary is either tall or calm then someone is either strong or happy.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both humble and happy ... | Paul is not calm. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(((tall(mary)<~>calm(mary)))=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~gene... | ~calm(paul) | [
"p5",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1378256219292190624395448
% SZS output start Proof for 1378256219292190624395448
6. ! [X0] : (~tall(X0) <=> calm(X0)) [input p5]
11. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p10]
20. humble(paul) | ~tall(paul) [input p19]
25. ~calm(paul) [input hypothesis... | 0 |
Everyone who is both not curious and strong is not funny and vice versa.
Everyone who is both not creative and calm is not brave or not kind.
If alice is generous or not calm then someone is both not funny and quiet and vice versa.
Everyone who is not strong or curious is either kind or happy and vice versa.
Everyone w... | Alice is patient. | neutral | (![X]:((~curious(X)&strong(X))<=>~funny(X)))&
(![X]:((~creative(X)&calm(X))=>(~brave(X)|~kind(X))))&
(((generous(alice)|~calm(alice)))<=>(?[X]:((~funny(X)&quiet(X)))))&
(![X]:((~strong(X)|curious(X))<=>(kind(X)<~>happy(X))))&
(![X]:((happy(X)&~humble(X))<=>(~brave(X)|~humble(X))))&
(![X]:((curious(X)&rich(X))=>generous... | patient(alice) | [] | null | 0 |
Everyone who is both not strong and rich is not creative and vice versa.
Everyone who is not tall is either quiet or curious.
If alice is not tall then alice is not kind and vice versa.
Everyone who is both humble and not strong is generous or calm and vice versa.
Everyone who is both not old and not generous is happy ... | Alice is not generous. | entailment | (![X]:((~strong(X)&rich(X))<=>~creative(X)))&
(![X]:(~tall(X)=>(quiet(X)<~>curious(X))))&
((~tall(alice))<=>(~kind(alice)))&
(![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))&
(![X]:((~old(X)&~generous(X))<=>(happy(X)|~strong(X))))&
((?[X]:((old(X)|~brave(X))))=>((happy(paul)|~kind(paul))))&
(![X]:((~patient(X)<~... | ~generous(alice) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 9121678224748763729113459
% SZS output start Proof for 9121678224748763729113459
4. ! [X0] : ((~strong(X0) & humble(X0)) <=> (calm(X0) | generous(X0))) [input p3]
5. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~strong(X0) | happy(X0))) [input p4]
24. generous(alice) [input hypothesis]
39. !... | 0 |
If someone is both not humble and not creative then susan is tall or funny.
If fred is either not kind or not generous then someone is not calm.
If someone is patient or not generous then susan is either not rich or not strong and vice versa.
Everyone who is quiet is both not old and rich.
If lucy is both not calm and ... | Fred is rich. | contradiction | ((?[X]:((~humble(X)&~creative(X))))=>((tall(susan)|funny(susan))))&
(((~kind(fred)<~>~generous(fred)))=>(?[X]:(~calm(X))))&
((?[X]:((patient(X)|~generous(X))))<=>((~rich(susan)<~>~strong(susan))))&
(![X]:(quiet(X)=>(~old(X)&rich(X))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:(~quiet(X)=>... | rich(fred) | [
"p5",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7574208089681607893517361
% SZS output start Proof for 7574208089681607893517361
6. ! [X0] : (~quiet(X0) => (~humble(X0) & tall(X0))) [input p5]
11. ! [X0] : ((creative(X0) & humble(X0)) <=> rich(X0)) [input p10]
18. ~brave(fred) | ~quiet(fred) [input p17]
22. ~humble(fred) <~> brave(fred... | 0 |
Everyone who is not humble is both brave and tall.
If john is tall then lucy is both not wise and not kind.
Everyone who is both patient and happy is not calm or humble and vice versa.
If someone is both generous and not old then lucy is rich.
If mary is either not brave or not wise then someone is both not patient and... | Paul is not brave. | entailment | (![X]:(~humble(X)=>(brave(X)&tall(X))))&
((tall(john))=>((~wise(lucy)&~kind(lucy))))&
(![X]:((patient(X)&happy(X))<=>(~calm(X)|humble(X))))&
((?[X]:((generous(X)&~old(X))))=>(rich(lucy)))&
(((~brave(mary)<~>~wise(mary)))=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:(strong(X)))=>(?[X]:((happy(X)|~brave(X)))))&
(![X]:((~cu... | ~brave(paul) | [
"p0",
"p6",
"p7",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 727238903944823320465765
% SZS output start Proof for 727238903944823320465765
1. ! [X0] : (~humble(X0) => (tall(X0) & brave(X0))) [input p0]
7. ! [X0] : ((strong(X0) | ~curious(X0)) => (~humble(X0) <~> ~brave(X0))) [input p6]
8. ! [X0] : ((tall(X0) | ~strong(X0)) => (tall(X0) & quiet(X0)... | 0 |
Everyone who is both wise and funny is wise or patient. Everyone who is both creative and kind is not happy. If someone is strong then someone is creative and vice versa. If someone is either quiet or calm then someone is either not wise or not curious and vice versa. Everyone who is either tall or funny is both not cu... | John is calm. | entailment | (![X]:((wise(X)&funny(X))=>(wise(X)|patient(X))))&
(![X]:((creative(X)&kind(X))=>~happy(X)))&
((?[X]:(strong(X)))<=>(?[X]:(creative(X))))&
((?[X]:((quiet(X)<~>calm(X))))<=>(?[X]:((~wise(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>funny(X))=>(~curious(X)&~funny(X))))&
(![X]:((~calm(X)|~rich(X))<=>(rich(X)<~>tall(X))))&
((?[... | calm(john) | [
"p4",
"p5",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8663232765823548166996246
% SZS output start Proof for 8663232765823548166996246
5. ! [X0] : ((tall(X0) <~> funny(X0)) => (~funny(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (rich(X0) <~> tall(X0))) [input p5]
8. ! [X0] : ((~rich(X0) & curious(X0)) <=> (~calm(... | 0 |
Everyone who is not patient or not brave is happy and vice versa. If lucy is not old then someone is brave or patient and vice versa. If fred is both not creative and not strong then john is humble or not tall. Everyone who is not old or rich is not tall. Everyone who is not rich is both old and creative and vice versa... | Paul is quiet. | neutral | (![X]:((~patient(X)|~brave(X))<=>happy(X)))&
((~old(lucy))<=>(?[X]:((brave(X)|patient(X)))))&
(((~creative(fred)&~strong(fred)))=>((humble(john)|~tall(john))))&
(![X]:((~old(X)|rich(X))=>~tall(X)))&
(![X]:(~rich(X)<=>(old(X)&creative(X))))&
(![X]:((brave(X)<~>~wise(X))<=>(~quiet(X)<~>strong(X))))&
(((old(paul)&humble(p... | quiet(paul) | [] | null | 0 |
If mary is brave then someone is not happy or not calm and vice versa.
Everyone who is not creative or not wise is both not old and happy and vice versa.
Everyone who is either not strong or generous is not patient.
If someone is patient or calm then someone is old.
Everyone who is calm or strong is kind and vice versa... | Fred is not strong. | neutral | ((brave(mary))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:((~creative(X)|~wise(X))<=>(~old(X)&happy(X))))&
(![X]:((~strong(X)<~>generous(X))=>~patient(X)))&
((?[X]:((patient(X)|calm(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)|strong(X))<=>kind(X)))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(((kind... | ~strong(fred) | [] | null | 0 |
If lucy is either not patient or creative then someone is not wise and vice versa. Everyone who is not kind is not brave or not strong and vice versa. If lucy is not curious then someone is both happy and wise. If fred is not rich or funny then fred is both strong and not old. Everyone who is either tall or curious is ... | Lucy is not happy. | contradiction | (((~patient(lucy)<~>creative(lucy)))<=>(?[X]:(~wise(X))))&
(![X]:(~kind(X)<=>(~brave(X)|~strong(X))))&
((~curious(lucy))=>(?[X]:((happy(X)&wise(X)))))&
(((~rich(fred)|funny(fred)))=>((strong(fred)&~old(fred))))&
(![X]:((tall(X)<~>curious(X))<=>(happy(X)&~wise(X))))&
(![X]:((tall(X)<~>curious(X))<=>(~quiet(X)&~happy(X))... | ~happy(lucy) | [
"p0",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1724167750900254559281814
% SZS output start Proof for 1724167750900254559281814
1. (~patient(lucy) <~> creative(lucy)) <=> ? [X0] : ~wise(X0) [input p0]
16. ! [X0] : (patient(X0) <=> (~creative(X0) | happy(X0))) [input p15]
19. ~wise(alice) [input p18]
25. ~happy(lucy) [input hypothesis]... | 0 |
If paul is either brave or humble then susan is not happy or calm and vice versa.
Everyone who is both not funny and not calm is generous or not strong.
If someone is humble or happy then john is kind or patient and vice versa.
Everyone who is either not humble or not happy is kind or not generous and vice versa.
Every... | Paul is old. | entailment | (((brave(paul)<~>humble(paul)))<=>((~happy(susan)|calm(susan))))&
(![X]:((~funny(X)&~calm(X))=>(generous(X)|~strong(X))))&
((?[X]:((humble(X)|happy(X))))<=>((kind(john)|patient(john))))&
(![X]:((~humble(X)<~>~happy(X))<=>(kind(X)|~generous(X))))&
(![X]:((~calm(X)&~funny(X))=>(~humble(X)<~>wise(X))))&
(((~kind(lucy)&gen... | old(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8904785439607568451025
% SZS output start Proof for 8904785439607568451025
21. old(paul) [input p20]
25. ~old(paul) [input hypothesis]
145. old(paul) [cnf transformation 21]
149. ~old(paul) [cnf transformation 25]
315. $false [subsumption resolution 149,145]
% SZS output end Proof for 890... | 0 |
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then john is either not quiet or funny and vice versa.
Everyone who is not happy is not strong.
Everyone who is creative or not generous is not funny or not curious.
Everyone who is creative is creative or not generous and vice versa.
Ever... | Fred is generous. | entailment | (![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((~quiet(john)<~>funny(john))))&
(![X]:(~happy(X)=>~strong(X)))&
(![X]:((creative(X)|~generous(X))=>(~funny(X)|~curious(X))))&
(![X]:(creative(X)<=>(creative(X)|~generous(X))))&
(![X]:(funny(X)<=>~tall(X)))&
(![X]:((~calm(X)|curious(X))<=>~brave(X))... | generous(fred) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 539521400243049326802699
% SZS output start Proof for 539521400243049326802699
5. ! [X0] : (creative(X0) <=> (~generous(X0) | creative(X0))) [input p4]
21. ~creative(fred) & strong(fred) [input p20]
23. ~generous(fred) [input hypothesis]
41. ! [X0] : ((creative(X0) | (generous(X0) & ~crea... | 0 |
Everyone who is quiet or not curious is not curious or rich and vice versa.
If mary is both not old and not kind then someone is both curious and creative.
Everyone who is wise is either tall or not curious and vice versa.
Everyone who is both not humble and not happy is quiet or curious.
Everyone who is either not wis... | Susan is creative. | entailment | (![X]:((quiet(X)|~curious(X))<=>(~curious(X)|rich(X))))&
(((~old(mary)&~kind(mary)))=>(?[X]:((curious(X)&creative(X)))))&
(![X]:(wise(X)<=>(tall(X)<~>~curious(X))))&
(![X]:((~humble(X)&~happy(X))=>(quiet(X)|curious(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~curious(X)&~generous(X))))&
(![X]:((~wise(X)&kind(X))<=>(patie... | creative(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3384995353399224478639065
% SZS output start Proof for 3384995353399224478639065
9. ! [X0] : ((creative(X0) | ~curious(X0)) <=> curious(X0)) [input p8]
21. ~creative(susan) [input hypothesis]
47. ! [X0] : (((creative(X0) | ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~creative(X0) & cu... | 0 |
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