premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not funny or old then someone is not rich and vice versa. Everyone who is both not creative and not strong is both kind and creative. Everyone who is happy is not brave. If someone is either strong or rich then someone is both not strong and not curious and vice versa. Everyone who is quiet is curious and... | Alice is creative. | entailment | ((?[X]:((~funny(X)|old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))=>(kind(X)&creative(X))))&
(![X]:(happy(X)=>~brave(X)))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:(quiet(X)<=>curious(X)))&
(((old(alice)&~old(alice)))<=>((~brave(mary)<~>kind(mary))))&
(![X]:((~brave(X... | creative(alice) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 203553571421505998483604
% SZS output start Proof for 203553571421505998483604
2. ! [X0] : ((~strong(X0) & ~creative(X0)) => (creative(X0) & kind(X0))) [input p1]
4. ? [X0] : (strong(X0) <~> rich(X0)) <=> ? [X0] : (~curious(X0) & ~strong(X0)) [input p3]
5. ! [X0] : (quiet(X0) <=> curious(... | 0 |
Everyone who is funny is either not kind or creative and vice versa.
Everyone who is calm or quiet is not funny and vice versa.
If susan is happy then someone is both not creative and tall.
Everyone who is either curious or brave is either tall or not funny and vice versa.
If fred is both creative and quiet then someon... | John is strong. | entailment | (![X]:(funny(X)<=>(~kind(X)<~>creative(X))))&
(![X]:((calm(X)|quiet(X))<=>~funny(X)))&
((happy(susan))=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((curious(X)<~>brave(X))<=>(tall(X)<~>~funny(X))))&
(((creative(fred)&quiet(fred)))<=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:((~rich(X)|calm(X))<=>(quiet(X)|~rich(X))))&
((... | strong(john) | [
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7822603839010301956596073
% SZS output start Proof for 7822603839010301956596073
9. ! [X0] : ((generous(X0) | tall(X0)) <=> humble(X0)) [input p8]
12. ! [X0] : ((strong(X0) & ~old(X0)) <=> (humble(X0) | ~brave(X0))) [input p11]
21. generous(john) & ~creative(john) [input p20]
24. ~strong(... | 0 |
Everyone who is both not patient and rich is curious and vice versa. If someone is not rich then lucy is either not funny or creative and vice versa. If susan is rich or not happy then someone is not brave. Everyone who is quiet is strong. If someone is both not calm and not tall then someone is strong or wise and vice... | Mary is calm. | entailment | (![X]:((~patient(X)&rich(X))<=>curious(X)))&
((?[X]:(~rich(X)))<=>((~funny(lucy)<~>creative(lucy))))&
(((rich(susan)|~happy(susan)))=>(?[X]:(~brave(X))))&
(![X]:(quiet(X)=>strong(X)))&
((?[X]:((~calm(X)&~tall(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:(creative(X)=>(~funny(X)|~generous(X))))&
(![X]:((curious(X)&humbl... | calm(mary) | [
"p3",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1202380041378481443423609
% SZS output start Proof for 1202380041378481443423609
4. ! [X0] : (quiet(X0) => strong(X0)) [input p3]
13. ! [X0] : (~calm(X0) => (happy(X0) & ~old(X0))) [input p12]
15. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (~strong(X0) | ~rich(X0))) [input p14]
16. ! ... | 0 |
Everyone who is not generous or not quiet is both creative and not wise. Everyone who is either creative or not brave is either not rich or rich. Everyone who is both not strong and not funny is creative or not creative. Everyone who is humble is not quiet and vice versa. Everyone who is both not curious and kind is bo... | Fred is not happy. | contradiction | (![X]:((~generous(X)|~quiet(X))=>(creative(X)&~wise(X))))&
(![X]:((creative(X)<~>~brave(X))=>(~rich(X)<~>rich(X))))&
(![X]:((~strong(X)&~funny(X))=>(creative(X)|~creative(X))))&
(![X]:(humble(X)<=>~quiet(X)))&
(![X]:((~curious(X)&kind(X))=>(~happy(X)&~strong(X))))&
(((~old(mary)&brave(mary)))<=>(?[X]:(happy(X))))&
(![X... | ~happy(fred) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3272823403702682704301740
% SZS output start Proof for 3272823403702682704301740
13. ! [X0] : ((creative(X0) | ~happy(X0)) => (quiet(X0) & calm(X0))) [input p12]
23. ~calm(fred) [input p22]
24. ~happy(fred) [input hypothesis]
39. ! [X0] : ((quiet(X0) & calm(X0)) | (~creative(X0) & happy(X... | 0 |
Everyone who is not generous is funny.
Everyone who is happy or wise is not rich.
Everyone who is brave or not happy is both brave and not rich.
If someone is either not old or not brave then alice is both generous and not old and vice versa.
If someone is either curious or old then fred is either generous or quiet.
If... | Fred is wise. | contradiction | (![X]:(~generous(X)=>funny(X)))&
(![X]:((happy(X)|wise(X))=>~rich(X)))&
(![X]:((brave(X)|~happy(X))=>(brave(X)&~rich(X))))&
((?[X]:((~old(X)<~>~brave(X))))<=>((generous(alice)&~old(alice))))&
((?[X]:((curious(X)<~>old(X))))=>((generous(fred)<~>quiet(fred))))&
((curious(alice))=>((~creative(susan)|~curious(susan))))&
(!... | wise(fred) | [
"p4",
"p7",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8576762209222190259273988
% SZS output start Proof for 8576762209222190259273988
5. ? [X0] : (curious(X0) <~> old(X0)) => (generous(fred) <~> quiet(fred)) [input p4]
8. ! [X0] : ((curious(X0) <~> wise(X0)) <=> (~wise(X0) & patient(X0))) [input p7]
10. ! [X0] : (quiet(X0) => (~brave(X0) & ... | 0 |
Everyone who is either not wise or not calm is either not creative or not calm and vice versa.
If paul is both strong and calm then someone is patient.
If john is both not curious and not calm then someone is tall or funny.
Everyone who is funny or not humble is either not strong or not creative and vice versa.
If some... | Lucy is not old. | contradiction | (![X]:((~wise(X)<~>~calm(X))<=>(~creative(X)<~>~calm(X))))&
(((strong(paul)&calm(paul)))=>(?[X]:(patient(X))))&
(((~curious(john)&~calm(john)))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((funny(X)|~humble(X))<=>(~strong(X)<~>~creative(X))))&
((?[X]:((~kind(X)&~humble(X))))=>((~brave(lucy)&curious(lucy))))&
(![X]:((generous(... | ~old(lucy) | [
"p5",
"p6",
"p8",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2380965532158441669378771
% SZS output start Proof for 2380965532158441669378771
6. ! [X0] : ((~generous(X0) & generous(X0)) <=> (~happy(X0) <~> rich(X0))) [input p5]
7. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (funny(X0) | old(X0))) [input p6]
9. ! [X0] : (~kind(X0) <=> happy(X0)) [in... | 0 |
If mary is not humble then mary is not tall or not happy and vice versa.
If someone is both calm and generous then mary is not calm.
If someone is either calm or not strong then lucy is both rich and calm and vice versa.
If someone is either not calm or not generous then john is not brave.
Everyone who is not kind is b... | Lucy is not calm. | contradiction | ((~humble(mary))<=>((~tall(mary)|~happy(mary))))&
((?[X]:((calm(X)&generous(X))))=>(~calm(mary)))&
((?[X]:((calm(X)<~>~strong(X))))<=>((rich(lucy)&calm(lucy))))&
((?[X]:((~calm(X)<~>~generous(X))))=>(~brave(john)))&
(![X]:(~kind(X)=>(calm(X)&~funny(X))))&
((?[X]:(happy(X)))=>(?[X]:((creative(X)&tall(X)))))&
(![X]:(~bra... | ~calm(lucy) | [
"p2",
"p4",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3459170617625629285998548
% SZS output start Proof for 3459170617625629285998548
3. ? [X0] : (calm(X0) <~> ~strong(X0)) <=> (calm(lucy) & rich(lucy)) [input p2]
5. ! [X0] : (~kind(X0) => (~funny(X0) & calm(X0))) [input p4]
9. ! [X0] : ((~strong(X0) | funny(X0)) <=> kind(X0)) [input p8]
10... | 0 |
Everyone who is not humble or old is both not strong and calm and vice versa. Everyone who is both brave and creative is either happy or not humble. Everyone who is not generous is both generous and patient and vice versa. If john is not calm or not funny then mary is patient and vice versa. If susan is both kind and n... | Susan is humble. | contradiction | (![X]:((~humble(X)|old(X))<=>(~strong(X)&calm(X))))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
(((~calm(john)|~funny(john)))<=>(patient(mary)))&
(((kind(susan)&~rich(susan)))<=>(?[X]:((wise(X)<~>calm(X)))))&
((?[X]:(~humble(X)))<=>(~patient(susan)))&
(![... | humble(susan) | [
"p2",
"p7",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8611030382547834395269970
% SZS output start Proof for 8611030382547834395269970
3. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p2]
8. ! [X0] : ((wise(X0) | ~generous(X0)) <=> (~patient(X0) | ~wise(X0))) [input p7]
9. ? [X0] : ~creative(X0) => ? [X0] : (patient(X0) & ... | 0 |
If someone is both not quiet and not brave then susan is not old and vice versa.
Everyone who is not rich is both rich and not old.
If someone is either wise or not patient then alice is either quiet or funny and vice versa.
If someone is either not quiet or not brave then someone is both not wise and not quiet.
Everyo... | Alice is old. | neutral | ((?[X]:((~quiet(X)&~brave(X))))<=>(~old(susan)))&
(![X]:(~rich(X)=>(rich(X)&~old(X))))&
((?[X]:((wise(X)<~>~patient(X))))<=>((quiet(alice)<~>funny(alice))))&
((?[X]:((~quiet(X)<~>~brave(X))))=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:(~brave(X)=>(~patient(X)&rich(X))))&
(![X]:((~rich(X)|funny(X))=>(patient(X)&brave(X))))&... | old(alice) | [] | null | 0 |
If someone is calm then lucy is kind and vice versa. If someone is not happy or not wise then someone is both happy and curious and vice versa. Everyone who is both patient and not quiet is either calm or not rich and vice versa. If someone is either not old or not quiet then someone is both calm and not funny and vice... | Lucy is strong. | contradiction | ((?[X]:(calm(X)))<=>(kind(lucy)))&
((?[X]:((~happy(X)|~wise(X))))<=>(?[X]:((happy(X)&curious(X)))))&
(![X]:((patient(X)&~quiet(X))<=>(calm(X)<~>~rich(X))))&
((?[X]:((~old(X)<~>~quiet(X))))<=>(?[X]:((calm(X)&~funny(X)))))&
(![X]:(calm(X)<=>(~calm(X)|~patient(X))))&
((?[X]:((~calm(X)<~>humble(X))))<=>(?[X]:((quiet(X)&~pa... | strong(lucy) | [
"p4",
"p6",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 884422121878914975430815
% SZS output start Proof for 884422121878914975430815
5. ! [X0] : (calm(X0) <=> (~patient(X0) | ~calm(X0))) [input p4]
7. ! [X0] : ((humble(X0) | ~patient(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
11. ! [X0] : ((wise(X0) <~> strong(X0)) <=> creative(X0))... | 0 |
Everyone who is both humble and curious is wise. Everyone who is generous is not funny or rich and vice versa. If someone is either not calm or curious then someone is not tall. If someone is not generous or kind then paul is patient or brave. Everyone who is not wise or curious is tall or patient and vice versa. If so... | John is humble. | entailment | (![X]:((humble(X)&curious(X))=>wise(X)))&
(![X]:(generous(X)<=>(~funny(X)|rich(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
((?[X]:((~generous(X)|kind(X))))=>((patient(paul)|brave(paul))))&
(![X]:((~wise(X)|curious(X))<=>(tall(X)|patient(X))))&
((?[X]:(~humble(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
... | humble(john) | [
"p1",
"p7",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3062959129404421101374382
% SZS output start Proof for 3062959129404421101374382
2. ! [X0] : (generous(X0) <=> (rich(X0) | ~funny(X0))) [input p1]
8. ! [X0] : ((funny(X0) | rich(X0)) <=> generous(X0)) [input p7]
15. (~rich(john) | humble(john)) <=> ? [X0] : (~humble(X0) <~> rich(X0)) [inp... | 0 |
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then someone is both not quiet and creative and vice versa.
Everyone who is tall or old is not patient or brave.
Everyone who is either funny or not happy is either not tall or patient and vice versa.
Everyone who is not curious i... | John is tall. | neutral | (![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
(![X]:((funny(X)<~>~happy(X))<=>(~tall(X)<~>patient(X))))&
(![X]:(~curious(X)=>(tall(X)<~>happy(X))))&
(((~happy(alice)&old(alice)))<=>((rich(john)&brave(john))))&... | tall(john) | [] | null | 0 |
Everyone who is calm or curious is both not kind and calm and vice versa.
If fred is both not wise and wise then someone is either not humble or not calm and vice versa.
Everyone who is happy is either funny or not patient and vice versa.
Everyone who is not calm is both kind and patient.
Everyone who is both wise and ... | Lucy is not funny. | entailment | (![X]:((calm(X)|curious(X))<=>(~kind(X)&calm(X))))&
(((~wise(fred)&wise(fred)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>~patient(X))))&
(![X]:(~calm(X)=>(kind(X)&patient(X))))&
(![X]:((wise(X)&~generous(X))<=>tall(X)))&
(![X]:((~funny(X)<~>~patient(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~creat... | ~funny(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 764474731789108971145041
% SZS output start Proof for 764474731789108971145041
21. ~strong(lucy) & ~funny(lucy) [input p20]
23. funny(lucy) [input hypothesis]
28. ~funny(lucy) [pure predicate removal 21]
142. ~funny(lucy) [cnf transformation 28]
144. funny(lucy) [cnf transformation 23]
25... | 0 |
If fred is both not curious and not strong then someone is not rich and vice versa.
If lucy is quiet or calm then fred is not curious or wise.
If someone is tall or not curious then someone is happy or not strong.
If susan is strong then fred is both not kind and not patient and vice versa.
If someone is either not cal... | Mary is generous. | contradiction | (((~curious(fred)&~strong(fred)))<=>(?[X]:(~rich(X))))&
(((quiet(lucy)|calm(lucy)))=>((~curious(fred)|wise(fred))))&
((?[X]:((tall(X)|~curious(X))))=>(?[X]:((happy(X)|~strong(X)))))&
((strong(susan))<=>((~kind(fred)&~patient(fred))))&
((?[X]:((~calm(X)<~>old(X))))<=>((~generous(alice)<~>generous(alice))))&
((?[X]:((~ha... | generous(mary) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8521281129578238913794369
% SZS output start Proof for 8521281129578238913794369
7. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (~calm(X0) & ~generous(X0))) [input p6]
13. ! [X0] : ((generous(X0) | old(X0)) <=> (~quiet(X0) & calm(X0))) [input p12]
25. generous(mary) [input hypothesis]
33. !... | 0 |
Everyone who is both tall and wise is either not quiet or not calm. Everyone who is both calm and happy is either kind or humble and vice versa. Everyone who is either not creative or not strong is patient and vice versa. If alice is both not calm and not kind then someone is quiet and vice versa. If lucy is both gener... | Alice is tall. | neutral | (![X]:((tall(X)&wise(X))=>(~quiet(X)<~>~calm(X))))&
(![X]:((calm(X)&happy(X))<=>(kind(X)<~>humble(X))))&
(![X]:((~creative(X)<~>~strong(X))<=>patient(X)))&
(((~calm(alice)&~kind(alice)))<=>(?[X]:(quiet(X))))&
(((generous(lucy)&happy(lucy)))=>(curious(mary)))&
(![X]:((~quiet(X)&~rich(X))<=>(strong(X)|wise(X))))&
(((~pat... | tall(alice) | [] | null | 0 |
If fred is not old then alice is not creative and vice versa. Everyone who is either generous or old is either humble or quiet. Everyone who is either brave or generous is either not humble or not rich. Everyone who is either quiet or old is tall or curious and vice versa. Everyone who is funny is not quiet or humble a... | Alice is not funny. | entailment | ((~old(fred))<=>(~creative(alice)))&
(![X]:((generous(X)<~>old(X))=>(humble(X)<~>quiet(X))))&
(![X]:((brave(X)<~>generous(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>old(X))<=>(tall(X)|curious(X))))&
(![X]:(funny(X)<=>(~quiet(X)|humble(X))))&
(![X]:(~quiet(X)=>(brave(X)&~old(X))))&
(![X]:((generous(X)|humble(X))... | ~funny(alice) | [
"p0",
"p4",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1493015811729933900395526
% SZS output start Proof for 1493015811729933900395526
1. ~old(fred) <=> ~creative(alice) [input p0]
5. ! [X0] : (funny(X0) <=> (humble(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : (~quiet(X0) => (~old(X0) & brave(X0))) [input p5]
7. ! [X0] : ((humble(X0) | generous... | 0 |
Everyone who is not humble or strong is old and vice versa.
Everyone who is calm or rich is quiet or happy and vice versa.
Everyone who is either patient or not humble is either patient or not tall.
Everyone who is funny is both not funny and wise.
Everyone who is quiet or old is not patient.
Everyone who is both not c... | John is curious. | contradiction | (![X]:((~humble(X)|strong(X))<=>old(X)))&
(![X]:((calm(X)|rich(X))<=>(quiet(X)|happy(X))))&
(![X]:((patient(X)<~>~humble(X))=>(patient(X)<~>~tall(X))))&
(![X]:(funny(X)=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)|old(X))=>~patient(X)))&
(![X]:((~curious(X)&creative(X))<=>(happy(X)|~wise(X))))&
(![X]:((~quiet(X)&~old(X))=>... | curious(john) | [
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6275559962618295392281072
% SZS output start Proof for 6275559962618295392281072
6. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (~wise(X0) | happy(X0))) [input p5]
13. ! [X0] : ((brave(X0) | humble(X0)) <=> (~generous(X0) <~> humble(X0))) [input p12]
16. ! [X0] : ((~generous(X0) & ~humble... | 0 |
If mary is both not humble and not creative then someone is both creative and calm and vice versa.
Everyone who is creative is funny.
If alice is wise then fred is not tall or patient and vice versa.
If mary is either not quiet or brave then john is brave and vice versa.
If paul is either not rich or quiet then someone... | Susan is not patient. | neutral | (((~humble(mary)&~creative(mary)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:(creative(X)=>funny(X)))&
((wise(alice))<=>((~tall(fred)|patient(fred))))&
(((~quiet(mary)<~>brave(mary)))<=>(brave(john)))&
(((~rich(paul)<~>quiet(paul)))<=>(?[X]:((creative(X)&funny(X)))))&
((curious(mary))<=>((~patient(lucy)<~>~rich(lucy))))... | ~patient(susan) | [] | null | 0 |
Everyone who is either not kind or patient is generous or not wise.
Everyone who is either funny or brave is not patient or not brave and vice versa.
If someone is both calm and not creative then lucy is either not calm or not humble and vice versa.
If lucy is both not tall and strong then someone is either not happy o... | Paul is not humble. | neutral | (![X]:((~kind(X)<~>patient(X))=>(generous(X)|~wise(X))))&
(![X]:((funny(X)<~>brave(X))<=>(~patient(X)|~brave(X))))&
((?[X]:((calm(X)&~creative(X))))<=>((~calm(lucy)<~>~humble(lucy))))&
(((~tall(lucy)&strong(lucy)))=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((~tall(X)<~>curious(X))<=>(creative(X)<~>~strong(X))))&
(![X]:((... | ~humble(paul) | [] | null | 0 |
If someone is both curious and patient then someone is not quiet.
If susan is either calm or curious then someone is either tall or funny and vice versa.
If someone is either old or happy then lucy is not old and vice versa.
If john is happy then someone is both not calm and not patient and vice versa.
If lucy is not b... | John is brave. | neutral | ((?[X]:((curious(X)&patient(X))))=>(?[X]:(~quiet(X))))&
(((calm(susan)<~>curious(susan)))<=>(?[X]:((tall(X)<~>funny(X)))))&
((?[X]:((old(X)<~>happy(X))))<=>(~old(lucy)))&
((happy(john))<=>(?[X]:((~calm(X)&~patient(X)))))&
(((~brave(lucy)|~quiet(lucy)))=>((~quiet(susan)|strong(susan))))&
(![X]:(~funny(X)<=>(strong(X)&~h... | brave(john) | [] | null | 0 |
Everyone who is not tall is either not happy or not generous. If someone is not wise or not creative then john is not calm or kind. Everyone who is either not brave or not curious is not calm. If someone is not curious or not old then alice is both strong and rich and vice versa. Everyone who is wise or kind is not str... | Fred is brave. | entailment | (![X]:(~tall(X)=>(~happy(X)<~>~generous(X))))&
((?[X]:((~wise(X)|~creative(X))))=>((~calm(john)|kind(john))))&
(![X]:((~brave(X)<~>~curious(X))=>~calm(X)))&
((?[X]:((~curious(X)|~old(X))))<=>((strong(alice)&rich(alice))))&
(![X]:((wise(X)|kind(X))=>~strong(X)))&
(![X]:(~strong(X)=>(~patient(X)&~rich(X))))&
((?[X]:(~wis... | brave(fred) | [
"p2",
"p3",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2362034209638914355164313
% SZS output start Proof for 2362034209638914355164313
3. ! [X0] : ((~brave(X0) <~> ~curious(X0)) => ~calm(X0)) [input p2]
4. ? [X0] : (~old(X0) | ~curious(X0)) <=> (rich(alice) & strong(alice)) [input p3]
5. ! [X0] : ((kind(X0) | wise(X0)) => ~strong(X0)) [input... | 0 |
Everyone who is wise or not tall is not quiet or funny and vice versa. Everyone who is either not patient or brave is either not strong or calm and vice versa. Everyone who is brave is not funny. Everyone who is either not strong or not calm is patient or not brave and vice versa. Everyone who is not wise is not patien... | Fred is wise. | contradiction | (![X]:((wise(X)|~tall(X))<=>(~quiet(X)|funny(X))))&
(![X]:((~patient(X)<~>brave(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(brave(X)=>~funny(X)))&
(![X]:((~strong(X)<~>~calm(X))<=>(patient(X)|~brave(X))))&
(![X]:(~wise(X)<=>(~patient(X)|~calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(~strong(X)<~>rich(X))))&
(((~humble(fred)&... | wise(fred) | [
"p2",
"p3",
"p4",
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7735223470265446065844845
% SZS output start Proof for 7735223470265446065844845
3. ! [X0] : (brave(X0) => ~funny(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~calm(X0)) <=> (~brave(X0) | patient(X0))) [input p3]
5. ! [X0] : (~wise(X0) <=> (~calm(X0) | ~patient(X0))) [input p4]
6. ! [X0]... | 0 |
Everyone who is either not quiet or rich is either not funny or not wise.
Everyone who is both not rich and kind is not generous.
Everyone who is both wise and patient is either not generous or not tall.
If john is either not calm or creative then mary is old or patient and vice versa.
Everyone who is either not rich o... | Mary is creative. | contradiction | (![X]:((~quiet(X)<~>rich(X))=>(~funny(X)<~>~wise(X))))&
(![X]:((~rich(X)&kind(X))=>~generous(X)))&
(![X]:((wise(X)&patient(X))=>(~generous(X)<~>~tall(X))))&
(((~calm(john)<~>creative(john)))<=>((old(mary)|patient(mary))))&
(![X]:((~rich(X)<~>humble(X))<=>(creative(X)<~>~rich(X))))&
((?[X]:((strong(X)<~>~calm(X))))<=>(?... | creative(mary) | [
"p2",
"p4",
"p7",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8091937011802194773315188
% SZS output start Proof for 8091937011802194773315188
3. ! [X0] : ((patient(X0) & wise(X0)) => (~generous(X0) <~> ~tall(X0))) [input p2]
5. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (creative(X0) <~> ~rich(X0))) [input p4]
8. ! [X0] : ((~curious(X0) <~> curious(X... | 0 |
Everyone who is not strong is both not old and wise and vice versa.
Everyone who is both not happy and patient is curious and vice versa.
If lucy is either curious or not curious then lucy is either curious or rich and vice versa.
If john is either creative or not generous then someone is either not tall or not wise an... | Paul is rich. | contradiction | (![X]:(~strong(X)<=>(~old(X)&wise(X))))&
(![X]:((~happy(X)&patient(X))<=>curious(X)))&
(((curious(lucy)<~>~curious(lucy)))<=>((curious(lucy)<~>rich(lucy))))&
(((creative(john)<~>~generous(john)))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:(~old(X)=>(tall(X)<~>old(X))))&
((?[X]:(patient(X)))<=>((~tall(lucy)|old(lucy))))&
... | rich(paul) | [
"p4",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8491217090195657746222918
% SZS output start Proof for 8491217090195657746222918
5. ! [X0] : (~old(X0) => (tall(X0) <~> old(X0))) [input p4]
12. ! [X0] : (~old(X0) <=> ~calm(X0)) [input p11]
16. ! [X0] : ((tall(X0) | ~patient(X0)) => (patient(X0) & ~rich(X0))) [input p15]
20. ~calm(paul) ... | 0 |
If alice is either not happy or wise then someone is either not old or kind.
If mary is either not happy or quiet then mary is kind.
If someone is generous then someone is either not creative or wise.
If paul is both rich and not strong then mary is both tall and not calm.
If someone is both calm and generous then mary... | Alice is strong. | contradiction | (((~happy(alice)<~>wise(alice)))=>(?[X]:((~old(X)<~>kind(X)))))&
(((~happy(mary)<~>quiet(mary)))=>(kind(mary)))&
((?[X]:(generous(X)))=>(?[X]:((~creative(X)<~>wise(X)))))&
(((rich(paul)&~strong(paul)))=>((tall(mary)&~calm(mary))))&
((?[X]:((calm(X)&generous(X))))=>((curious(mary)<~>creative(mary))))&
(![X]:((kind(X)|ri... | strong(alice) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 226910391779876154970113
% SZS output start Proof for 226910391779876154970113
6. ! [X0] : ((rich(X0) | kind(X0)) <=> ~kind(X0)) [input p5]
16. ! [X0] : ((funny(X0) | rich(X0)) <=> ~strong(X0)) [input p15]
23. strong(alice) [input hypothesis]
41. ! [X0] : (((rich(X0) | kind(X0)) | kind(X0... | 0 |
Everyone who is not wise or happy is not humble.
If paul is not funny then someone is either not curious or kind.
If someone is not quiet then someone is both brave and not happy.
If mary is not tall then susan is either not patient or not wise.
Everyone who is both wise and brave is not happy.
If paul is not kind or n... | Paul is kind. | neutral | (![X]:((~wise(X)|happy(X))=>~humble(X)))&
((~funny(paul))=>(?[X]:((~curious(X)<~>kind(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((brave(X)&~happy(X)))))&
((~tall(mary))=>((~patient(susan)<~>~wise(susan))))&
(![X]:((wise(X)&brave(X))=>~happy(X)))&
(((~kind(paul)|~creative(paul)))<=>((quiet(susan)|rich(susan))))&
(((quiet(john)... | kind(paul) | [] | null | 0 |
If someone is strong then someone is either humble or not funny and vice versa.
If fred is both not brave and not wise then someone is not wise or not creative.
Everyone who is not calm or not curious is either old or rich and vice versa.
Everyone who is generous or not humble is strong or happy.
Everyone who is patien... | Susan is calm. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((~brave(fred)&~wise(fred)))=>(?[X]:((~wise(X)|~creative(X)))))&
(![X]:((~calm(X)|~curious(X))<=>(old(X)<~>rich(X))))&
(![X]:((generous(X)|~humble(X))=>(strong(X)|happy(X))))&
(![X]:((patient(X)|brave(X))=>(~humble(X)&quiet(X))))&
(![X]:(~generous(X)<=>~old(X)))... | calm(susan) | [
"p2",
"p3",
"p4",
"p5",
"p10",
"p13",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3392110236334657531811770
% SZS output start Proof for 3392110236334657531811770
3. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (old(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((~humble(X0) | generous(X0)) => (happy(X0) | strong(X0))) [input p3]
5. ! [X0] : ((brave(X0) | patient(X0)) => (quie... | 0 |
Everyone who is either tall or kind is both not rich and not calm and vice versa. Everyone who is both not quiet and not happy is not wise and vice versa. If someone is both calm and not rich then susan is not kind and vice versa. If alice is generous or not curious then john is either happy or brave. If mary is old th... | Fred is not happy. | contradiction | (![X]:((tall(X)<~>kind(X))<=>(~rich(X)&~calm(X))))&
(![X]:((~quiet(X)&~happy(X))<=>~wise(X)))&
((?[X]:((calm(X)&~rich(X))))<=>(~kind(susan)))&
(((generous(alice)|~curious(alice)))=>((happy(john)<~>brave(john))))&
((old(mary))=>(?[X]:(old(X))))&
(![X]:((~happy(X)|~brave(X))<=>~tall(X)))&
(((~generous(lucy)&~kind(lucy)))... | ~happy(fred) | [
"p0",
"p2",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1412948620829099705138102
% SZS output start Proof for 1412948620829099705138102
1. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (~calm(X0) & ~rich(X0))) [input p0]
3. ? [X0] : (~rich(X0) & calm(X0)) <=> ~kind(susan) [input p2]
6. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> ~tall(X0)) [input p5]
10.... | 0 |
If mary is both not strong and not curious then fred is not strong or not curious and vice versa.
Everyone who is not funny is rich.
Everyone who is happy is both not creative and wise and vice versa.
Everyone who is either not rich or not old is either strong or patient.
If mary is not strong then someone is wise or q... | Fred is not quiet. | neutral | (((~strong(mary)&~curious(mary)))<=>((~strong(fred)|~curious(fred))))&
(![X]:(~funny(X)=>rich(X)))&
(![X]:(happy(X)<=>(~creative(X)&wise(X))))&
(![X]:((~rich(X)<~>~old(X))=>(strong(X)<~>patient(X))))&
((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X... | ~quiet(fred) | [] | null | 0 |
Everyone who is both not humble and happy is not wise.
Everyone who is either creative or patient is not quiet and vice versa.
Everyone who is old is both rich and not wise.
If someone is not generous or happy then someone is both old and not tall and vice versa.
If alice is both not curious and creative then someone i... | Alice is curious. | contradiction | (![X]:((~humble(X)&happy(X))=>~wise(X)))&
(![X]:((creative(X)<~>patient(X))<=>~quiet(X)))&
(![X]:(old(X)=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:((old(X)&~tall(X)))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(!... | curious(alice) | [
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2706869836606852562499515
% SZS output start Proof for 2706869836606852562499515
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & generous(X0)) <=> ~curious(X0)) [input p7]
9. ! [X0] : (~humble(X0) <=> (funny(X0) & ~wise(X0))) [input ... | 0 |
If someone is both kind and not wise then someone is not funny or calm.
If fred is either brave or not humble then mary is either not patient or not kind and vice versa.
Everyone who is humble is not calm or kind.
If someone is creative then mary is both tall and not rich and vice versa.
Everyone who is either not rich... | Alice is not calm. | entailment | ((?[X]:((kind(X)&~wise(X))))=>(?[X]:((~funny(X)|calm(X)))))&
(((brave(fred)<~>~humble(fred)))<=>((~patient(mary)<~>~kind(mary))))&
(![X]:(humble(X)=>(~calm(X)|kind(X))))&
((?[X]:(creative(X)))<=>((tall(mary)&~rich(mary))))&
(![X]:((~rich(X)<~>~humble(X))=>(~strong(X)<~>~kind(X))))&
((?[X]:((wise(X)<~>old(X))))=>(?[X]:(... | ~calm(alice) | [
"p6",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8089828125186317040886082
% SZS output start Proof for 8089828125186317040886082
7. ! [X0] : ((rich(X0) <~> ~kind(X0)) => (~calm(X0) & happy(X0))) [input p6]
10. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (~kind(X0) | wise(X0))) [input p9]
24. wise(alice) [input p23]
25. calm(alice) [input hyp... | 0 |
If someone is not brave then someone is both not humble and rich. If someone is either happy or brave then someone is either not calm or tall. Everyone who is both not happy and not humble is not creative and vice versa. Everyone who is not kind is not old or kind and vice versa. Everyone who is generous or not curious... | Lucy is calm. | entailment | ((?[X]:(~brave(X)))=>(?[X]:((~humble(X)&rich(X)))))&
((?[X]:((happy(X)<~>brave(X))))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((~happy(X)&~humble(X))<=>~creative(X)))&
(![X]:(~kind(X)<=>(~old(X)|kind(X))))&
(![X]:((generous(X)|~curious(X))=>(~calm(X)<~>~kind(X))))&
(![X]:(~generous(X)=>(humble(X)&~strong(X))))&
((?[X]:((... | calm(lucy) | [
"p0",
"p3",
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5733384489412520682474085
% SZS output start Proof for 5733384489412520682474085
1. ? [X0] : ~brave(X0) => ? [X0] : (rich(X0) & ~humble(X0)) [input p0]
4. ! [X0] : (~kind(X0) <=> (kind(X0) | ~old(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | generous(X0)) => (~calm(X0) <~> ~kind(X0))) [in... | 0 |
If someone is both not quiet and generous then someone is both strong and happy. Everyone who is not funny or not creative is not rich or not kind and vice versa. Everyone who is not calm or not happy is both not wise and not brave. Everyone who is patient is wise or strong and vice versa. Everyone who is either rich o... | Lucy is not humble. | contradiction | ((?[X]:((~quiet(X)&generous(X))))=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((~funny(X)|~creative(X))<=>(~rich(X)|~kind(X))))&
(![X]:((~calm(X)|~happy(X))=>(~wise(X)&~brave(X))))&
(![X]:(patient(X)<=>(wise(X)|strong(X))))&
(![X]:((rich(X)<~>curious(X))<=>(~strong(X)<~>humble(X))))&
(![X]:(~humble(X)=>(~calm(X)<~>~funny(X)... | ~humble(lucy) | [
"p2",
"p5",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2736490866382633201851189
% SZS output start Proof for 2736490866382633201851189
3. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~brave(X0) & ~wise(X0))) [input p2]
6. ! [X0] : (~humble(X0) => (~calm(X0) <~> ~funny(X0))) [input p5]
8. ! [X0] : (generous(X0) <=> (~funny(X0) | ~strong(X0))) [inpu... | 0 |
Everyone who is either not strong or not quiet is either not quiet or not old.
If someone is not curious or not wise then someone is either generous or not brave and vice versa.
Everyone who is both not humble and quiet is not funny.
If someone is not generous or not tall then susan is both kind and old and vice versa.... | John is not curious. | neutral | (![X]:((~strong(X)<~>~quiet(X))=>(~quiet(X)<~>~old(X))))&
((?[X]:((~curious(X)|~wise(X))))<=>(?[X]:((generous(X)<~>~brave(X)))))&
(![X]:((~humble(X)&quiet(X))=>~funny(X)))&
((?[X]:((~generous(X)|~tall(X))))<=>((kind(susan)&old(susan))))&
(![X]:((patient(X)&~patient(X))=>~brave(X)))&
(![X]:((~kind(X)|strong(X))<=>rich(X... | ~curious(john) | [] | null | 0 |
If alice is either not funny or curious then fred is creative or calm.
If someone is both happy and humble then fred is both not brave and rich.
If lucy is old then someone is curious or tall.
Everyone who is not funny is not rich or not funny and vice versa.
If paul is not curious then susan is wise.
Everyone who is b... | Paul is generous. | neutral | (((~funny(alice)<~>curious(alice)))=>((creative(fred)|calm(fred))))&
((?[X]:((happy(X)&humble(X))))=>((~brave(fred)&rich(fred))))&
((old(lucy))=>(?[X]:((curious(X)|tall(X)))))&
(![X]:(~funny(X)<=>(~rich(X)|~funny(X))))&
((~curious(paul))=>(wise(susan)))&
(![X]:((creative(X)&~old(X))=>calm(X)))&
(((~generous(lucy)<~>str... | generous(paul) | [] | null | 0 |
Everyone who is not brave or kind is both tall and not curious and vice versa.
If john is calm then someone is not old or not strong and vice versa.
Everyone who is either not strong or curious is both not generous and curious and vice versa.
If john is not creative then someone is either old or happy.
Everyone who is ... | Fred is happy. | entailment | (![X]:((~brave(X)|kind(X))<=>(tall(X)&~curious(X))))&
((calm(john))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((~strong(X)<~>curious(X))<=>(~generous(X)&curious(X))))&
((~creative(john))=>(?[X]:((old(X)<~>happy(X)))))&
(![X]:((~calm(X)|creative(X))<=>(~brave(X)|generous(X))))&
(![X]:((brave(X)<~>~curious(X))<=>(old(X)<~>... | happy(fred) | [
"p0",
"p4",
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 87969024193130256697388
% SZS output start Proof for 87969024193130256697388
1. ! [X0] : ((kind(X0) | ~brave(X0)) <=> (~curious(X0) & tall(X0))) [input p0]
5. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (generous(X0) | ~brave(X0))) [input p4]
7. ! [X0] : ((patient(X0) | ~generous(X0)) <=> ~t... | 0 |
Everyone who is not strong is either tall or not old. Everyone who is either calm or not brave is either strong or brave. Everyone who is both not patient and not old is not old or curious and vice versa. Everyone who is strong or not happy is not quiet or tall. If someone is both not strong and not curious then someon... | Paul is not generous. | entailment | (![X]:(~strong(X)=>(tall(X)<~>~old(X))))&
(![X]:((calm(X)<~>~brave(X))=>(strong(X)<~>brave(X))))&
(![X]:((~patient(X)&~old(X))<=>(~old(X)|curious(X))))&
(![X]:((strong(X)|~happy(X))=>(~quiet(X)|tall(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(?[X]:((~wise(X)|rich(X)))))&
(((~tall(mary)|~funny(mary)))=>(?[X]:((kind(X)|~... | ~generous(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5898536272155219001854104
% SZS output start Proof for 5898536272155219001854104
7. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> rich(X0)) [input p6]
22. generous(paul) [input hypothesis]
46. ! [X0] : (((~rich(X0) | ~generous(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) & generous(X0)))) [nnf t... | 0 |
Everyone who is either rich or not tall is not funny or not patient and vice versa.
Everyone who is kind or quiet is both not old and not brave.
If someone is either not old or brave then alice is not wise and vice versa.
If someone is not wise then john is not curious and vice versa.
If someone is old then fred is ric... | Fred is old. | neutral | (![X]:((rich(X)<~>~tall(X))<=>(~funny(X)|~patient(X))))&
(![X]:((kind(X)|quiet(X))=>(~old(X)&~brave(X))))&
((?[X]:((~old(X)<~>brave(X))))<=>(~wise(alice)))&
((?[X]:(~wise(X)))<=>(~curious(john)))&
((?[X]:(old(X)))<=>((rich(fred)|~old(fred))))&
(((tall(susan)&~happy(susan)))<=>(?[X]:((~generous(X)|~creative(X)))))&
(![X... | old(fred) | [] | null | 0 |
If someone is not humble or not creative then someone is both curious and not old.
Everyone who is either not rich or not quiet is either calm or not old and vice versa.
If someone is either generous or not curious then fred is patient or tall and vice versa.
If fred is either humble or old then someone is quiet or not... | Fred is creative. | entailment | ((?[X]:((~humble(X)|~creative(X))))=>(?[X]:((curious(X)&~old(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((generous(X)<~>~curious(X))))<=>((patient(fred)|tall(fred))))&
(((humble(fred)<~>old(fred)))<=>(?[X]:((quiet(X)|~patient(X)))))&
(![X]:((brave(X)<~>kind(X))<=>(quiet(X)|curious(X))))&
(![X... | creative(fred) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 539548056125538591513955
% SZS output start Proof for 539548056125538591513955
1. ? [X0] : (~creative(X0) | ~humble(X0)) => ? [X0] : (~old(X0) & curious(X0)) [input p0]
5. ! [X0] : ((brave(X0) <~> kind(X0)) <=> (curious(X0) | quiet(X0))) [input p4]
6. ! [X0] : (old(X0) => ~strong(X0)) [in... | 0 |
Everyone who is both kind and humble is quiet or humble and vice versa.
Everyone who is either funny or humble is either not funny or patient and vice versa.
Everyone who is both curious and patient is not patient or not quiet and vice versa.
Everyone who is either strong or not creative is tall or not tall.
If someone... | Lucy is not quiet. | entailment | (![X]:((kind(X)&humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((funny(X)<~>humble(X))<=>(~funny(X)<~>patient(X))))&
(![X]:((curious(X)&patient(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((strong(X)<~>~creative(X))=>(tall(X)|~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:((~humble(X)<~>quiet(X))=>ol... | ~quiet(lucy) | [
"p0",
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7726345238715542047868620
% SZS output start Proof for 7726345238715542047868620
1. ! [X0] : ((humble(X0) & kind(X0)) <=> (humble(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (~funny(X0) <~> patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) & curious(X0)) <=> ... | 0 |
Everyone who is not tall is both not brave and rich and vice versa.
If lucy is both creative and not creative then someone is not wise or quiet and vice versa.
If susan is both not happy and not curious then susan is both wise and funny and vice versa.
If someone is both not quiet and not old then someone is old or gen... | Mary is not wise. | contradiction | (![X]:(~tall(X)<=>(~brave(X)&rich(X))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:((~wise(X)|quiet(X)))))&
(((~happy(susan)&~curious(susan)))<=>((wise(susan)&funny(susan))))&
((?[X]:((~quiet(X)&~old(X))))<=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>... | ~wise(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7653474857077237663349351
% SZS output start Proof for 7653474857077237663349351
2. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (quiet(X0) | ~wise(X0)) [input p1]
21. ~wise(mary) [input hypothesis]
34. ((~creative(lucy) & creative(lucy)) | ! [X0] : (~quiet(X0) & wise(X0))) & (? [X0] :... | 0 |
Everyone who is curious is not curious. Everyone who is not strong or not generous is both rich and creative. Everyone who is both creative and not curious is wise or not tall and vice versa. Everyone who is curious is either not strong or wise. If mary is not rich or brave then someone is creative or rich. If someone ... | Susan is old. | entailment | (![X]:(curious(X)=>~curious(X)))&
(![X]:((~strong(X)|~generous(X))=>(rich(X)&creative(X))))&
(![X]:((creative(X)&~curious(X))<=>(wise(X)|~tall(X))))&
(![X]:(curious(X)=>(~strong(X)<~>wise(X))))&
(((~rich(mary)|brave(mary)))=>(?[X]:((creative(X)|rich(X)))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:(calm(X))))&
(((~quiet(jo... | old(susan) | [
"p1",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 751850079052814695325851
% SZS output start Proof for 751850079052814695325851
2. ! [X0] : ((~generous(X0) | ~strong(X0)) => (creative(X0) & rich(X0))) [input p1]
10. ! [X0] : (~brave(X0) <=> (brave(X0) & rich(X0))) [input p9]
11. ! [X0] : ((humble(X0) | ~creative(X0)) => (brave(X0) & ric... | 0 |
If someone is both not humble and not kind then mary is rich or calm.
If someone is not creative or patient then susan is either not calm or not curious.
If someone is both rich and not happy then paul is not generous.
If someone is both not old and not rich then someone is curious or funny.
Everyone who is either crea... | Alice is patient. | entailment | ((?[X]:((~humble(X)&~kind(X))))=>((rich(mary)|calm(mary))))&
((?[X]:((~creative(X)|patient(X))))=>((~calm(susan)<~>~curious(susan))))&
((?[X]:((rich(X)&~happy(X))))=>(~generous(paul)))&
((?[X]:((~old(X)&~rich(X))))=>(?[X]:((curious(X)|funny(X)))))&
(![X]:((creative(X)<~>~generous(X))<=>(happy(X)&~rich(X))))&
(![X]:((ki... | patient(alice) | [
"p4",
"p5",
"p7",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8152618629270313423776682
% SZS output start Proof for 8152618629270313423776682
5. ! [X0] : ((creative(X0) <~> ~generous(X0)) <=> (~rich(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~calm(X0) | kind(X0)) => (kind(X0) & generous(X0))) [input p5]
8. ! [X0] : (~calm(X0) <=> (~generous(X0) <~>... | 0 |
Everyone who is either not patient or patient is both not wise and happy and vice versa.
If mary is both creative and not patient then someone is either creative or not patient and vice versa.
If mary is not calm then susan is kind and vice versa.
Everyone who is not kind or not calm is both brave and not old.
If someo... | Mary is not humble. | entailment | (![X]:((~patient(X)<~>patient(X))<=>(~wise(X)&happy(X))))&
(((creative(mary)&~patient(mary)))<=>(?[X]:((creative(X)<~>~patient(X)))))&
((~calm(mary))<=>(kind(susan)))&
(![X]:((~kind(X)|~calm(X))=>(brave(X)&~old(X))))&
((?[X]:((brave(X)<~>strong(X))))=>(?[X]:(brave(X))))&
(((rich(susan)<~>old(susan)))=>(?[X]:((happy(X)&... | ~humble(mary) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1629806475259658315620
% SZS output start Proof for 1629806475259658315620
1. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> (happy(X0) & ~wise(X0))) [input p0]
9. ! [X0] : ((humble(X0) | ~generous(X0)) <=> (humble(X0) <~> ~wise(X0))) [input p8]
20. humble(mary) [input hypothesis]
37. ! [X0... | 0 |
If someone is both quiet and not quiet then someone is both old and creative and vice versa. If mary is either not strong or creative then someone is either kind or brave and vice versa. If mary is not creative or not curious then someone is both not strong and not kind. Everyone who is not creative is both not quiet a... | John is not calm. | neutral | ((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((old(X)&creative(X)))))&
(((~strong(mary)<~>creative(mary)))<=>(?[X]:((kind(X)<~>brave(X)))))&
(((~creative(mary)|~curious(mary)))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((creative(X)<~>~kind(X))=>(~humble(X)&~rich(X))))&
(![X]:((brav... | ~calm(john) | [] | null | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is not quiet. | contradiction | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | ~quiet(mary) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9118471520045399704381322
% SZS output start Proof for 9118471520045399704381322
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
3. ! [X0] : (~calm(X0) => (funny(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (~calm(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((... | 0 |
If someone is not patient or not generous then john is either wise or not brave and vice versa.
If someone is not rich or humble then john is creative.
Everyone who is both creative and not wise is not kind or not happy and vice versa.
If susan is both calm and not wise then mary is both not quiet and old.
If lucy is e... | Mary is not kind. | contradiction | ((?[X]:((~patient(X)|~generous(X))))<=>((wise(john)<~>~brave(john))))&
((?[X]:((~rich(X)|humble(X))))=>(creative(john)))&
(![X]:((creative(X)&~wise(X))<=>(~kind(X)|~happy(X))))&
(((calm(susan)&~wise(susan)))=>((~quiet(mary)&old(mary))))&
(((rich(lucy)<~>~tall(lucy)))=>((wise(john)|patient(john))))&
((?[X]:(rich(X)))<=>... | ~kind(mary) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8442214131174375160496790
% SZS output start Proof for 8442214131174375160496790
12. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~happy(X0) & kind(X0))) [input p11]
14. ! [X0] : ((strong(X0) & kind(X0)) <=> quiet(X0)) [input p13]
25. ~kind(mary) [input hypothesis]
60. ! [X0] : (((~quiet(X0) |... | 0 |
Everyone who is both not patient and not creative is brave or happy and vice versa.
Everyone who is either strong or brave is both not calm and funny.
Everyone who is either not curious or not quiet is both not quiet and strong.
If john is patient then john is rich and vice versa.
If someone is old or tall then someone... | Alice is not patient. | contradiction | (![X]:((~patient(X)&~creative(X))<=>(brave(X)|happy(X))))&
(![X]:((strong(X)<~>brave(X))=>(~calm(X)&funny(X))))&
(![X]:((~curious(X)<~>~quiet(X))=>(~quiet(X)&strong(X))))&
((patient(john))<=>(rich(john)))&
((?[X]:((old(X)|tall(X))))=>(?[X]:(creative(X))))&
((?[X]:((wise(X)|quiet(X))))=>(?[X]:((~curious(X)&strong(X)))))... | ~patient(alice) | [
"p0",
"p2",
"p6",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8656126825125187341531681
% SZS output start Proof for 8656126825125187341531681
1. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> (happy(X0) | brave(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> ~quiet(X0)) => (strong(X0) & ~quiet(X0))) [input p2]
7. ! [X0] : (happy(X0) <=> (funny(X0) & ... | 0 |
Everyone who is not rich or not old is both patient and funny. If someone is either old or brave then susan is rich and vice versa. If lucy is not generous then susan is old and vice versa. Everyone who is not quiet is both patient and not humble and vice versa. Everyone who is not patient or not quiet is quiet or funn... | John is not patient. | entailment | (![X]:((~rich(X)|~old(X))=>(patient(X)&funny(X))))&
((?[X]:((old(X)<~>brave(X))))<=>(rich(susan)))&
((~generous(lucy))<=>(old(susan)))&
(![X]:(~quiet(X)<=>(patient(X)&~humble(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(quiet(X)|funny(X))))&
((?[X]:(humble(X)))=>(kind(john)))&
(((calm(paul)&~rich(paul)))=>(?[X]:((~brave(X)... | ~patient(john) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1006088648660366017662776
% SZS output start Proof for 1006088648660366017662776
5. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (funny(X0) | quiet(X0))) [input p4]
13. ! [X0] : (~quiet(X0) => (~funny(X0) & happy(X0))) [input p12]
24. patient(john) [input hypothesis]
35. ! [X0] : ((~funny(X0... | 0 |
Everyone who is not rich is wise or brave. If someone is both tall and funny then john is old. Everyone who is brave is either tall or strong. Everyone who is creative or not curious is both patient and quiet and vice versa. Everyone who is both strong and not brave is strong or not rich and vice versa. Everyone who is... | Lucy is quiet. | entailment | (![X]:(~rich(X)=>(wise(X)|brave(X))))&
((?[X]:((tall(X)&funny(X))))=>(old(john)))&
(![X]:(brave(X)=>(tall(X)<~>strong(X))))&
(![X]:((creative(X)|~curious(X))<=>(patient(X)&quiet(X))))&
(![X]:((strong(X)&~brave(X))<=>(strong(X)|~rich(X))))&
(![X]:((funny(X)&generous(X))<=>(~wise(X)<~>~patient(X))))&
(((~curious(alice)|~... | quiet(lucy) | [
"p0",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5063469737799302458207700
% SZS output start Proof for 5063469737799302458207700
1. ! [X0] : (~rich(X0) => (brave(X0) | wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) & strong(X0)) <=> (~rich(X0) | strong(X0))) [input p4]
8. ? [X0] : (rich(X0) | ~tall(X0)) => ? [X0] : (~wise(X0) & ~rich(X... | 0 |
If someone is funny then john is either tall or not quiet and vice versa. Everyone who is both not rich and not patient is both brave and not generous. If susan is creative or wise then someone is not calm. If someone is not kind or brave then someone is calm or funny and vice versa. If someone is either wise or humble... | Susan is wise. | neutral | ((?[X]:(funny(X)))<=>((tall(john)<~>~quiet(john))))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&~generous(X))))&
(((creative(susan)|wise(susan)))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((wise(X)<~>humble(X))))<=>(?[X]:((~kind(X)|~happy(X)))))&
(((~wise(mary)&funny(mary))... | wise(susan) | [] | null | 0 |
Everyone who is both not wise and not funny is not kind or calm and vice versa.
Everyone who is either not wise or not generous is humble and vice versa.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not br... | Susan is not brave. | entailment | (![X]:((~wise(X)&~funny(X))<=>(~kind(X)|calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>humble(X)))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~s... | ~brave(susan) | [
"p3",
"p4",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2897727575837616641926721
% SZS output start Proof for 2897727575837616641926721
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~generous(X0))) [input p3]
5. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((calm(X0) | curious(X0)) <=> (generous(X0) & humble(X0))) [inpu... | 0 |
If someone is either patient or humble then john is either not old or humble.
Everyone who is old is not tall or curious and vice versa.
Everyone who is either not creative or not old is calm or not humble and vice versa.
Everyone who is not calm is not humble and vice versa.
Everyone who is either calm or not generous... | Susan is brave. | contradiction | ((?[X]:((patient(X)<~>humble(X))))=>((~old(john)<~>humble(john))))&
(![X]:(old(X)<=>(~tall(X)|curious(X))))&
(![X]:((~creative(X)<~>~old(X))<=>(calm(X)|~humble(X))))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((calm(X)<~>~generous(X))=>(curious(X)|~creative(X))))&
(((~wise(paul)|happy(paul)))<=>(curious(mary)))&
(((~wise(f... | brave(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2382610965429256555959737
% SZS output start Proof for 2382610965429256555959737
19. ~tall(susan) & ~brave(susan) [input p18]
25. brave(susan) [input hypothesis]
143. ~brave(susan) [cnf transformation 19]
153. brave(susan) [cnf transformation 25]
353. $false [subsumption resolution 153,14... | 0 |
Everyone who is both wise and not patient is not kind or not brave and vice versa.
If someone is both generous and creative then fred is either not old or not funny.
Everyone who is patient is either strong or generous.
Everyone who is both curious and patient is both wise and patient and vice versa.
Everyone who is br... | Susan is patient. | contradiction | (![X]:((wise(X)&~patient(X))<=>(~kind(X)|~brave(X))))&
((?[X]:((generous(X)&creative(X))))=>((~old(fred)<~>~funny(fred))))&
(![X]:(patient(X)=>(strong(X)<~>generous(X))))&
(![X]:((curious(X)&patient(X))<=>(wise(X)&patient(X))))&
(![X]:(brave(X)=>(old(X)<~>~generous(X))))&
((?[X]:(brave(X)))<=>((generous(susan)&~wise(su... | patient(susan) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2175056588437884141718563
% SZS output start Proof for 2175056588437884141718563
1. ! [X0] : ((~patient(X0) & wise(X0)) <=> (~brave(X0) | ~kind(X0))) [input p0]
4. ! [X0] : ((patient(X0) & curious(X0)) <=> (patient(X0) & wise(X0))) [input p3]
5. ! [X0] : (brave(X0) => (old(X0) <~> ~genero... | 0 |
Everyone who is funny or not generous is curious. Everyone who is patient or not quiet is either strong or not funny and vice versa. Everyone who is not patient is both creative and not generous and vice versa. Everyone who is not curious or not calm is not curious or creative and vice versa. If someone is either creat... | Mary is calm. | neutral | (![X]:((funny(X)|~generous(X))=>curious(X)))&
(![X]:((patient(X)|~quiet(X))<=>(strong(X)<~>~funny(X))))&
(![X]:(~patient(X)<=>(creative(X)&~generous(X))))&
(![X]:((~curious(X)|~calm(X))<=>(~curious(X)|creative(X))))&
((?[X]:((creative(X)<~>kind(X))))<=>((generous(susan)|~quiet(susan))))&
(![X]:(old(X)=>(~brave(X)|~happ... | calm(mary) | [] | null | 0 |
Everyone who is not creative is either brave or not brave and vice versa.
Everyone who is not wise is not old or not humble and vice versa.
If someone is either not funny or not calm then someone is not tall or not kind.
Everyone who is not generous is both not kind and not funny and vice versa.
If alice is not kind or... | Susan is kind. | entailment | (![X]:(~creative(X)<=>(brave(X)<~>~brave(X))))&
(![X]:(~wise(X)<=>(~old(X)|~humble(X))))&
((?[X]:((~funny(X)<~>~calm(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:(~generous(X)<=>(~kind(X)&~funny(X))))&
(((~kind(alice)|~old(alice)))<=>(?[X]:(brave(X))))&
(![X]:(curious(X)=>(~humble(X)|wise(X))))&
(![X]:((generous(X)|~str... | kind(susan) | [
"p3",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5556683960935296561890999
% SZS output start Proof for 5556683960935296561890999
4. ! [X0] : (~generous(X0) <=> (~funny(X0) & ~kind(X0))) [input p3]
11. ! [X0] : ((~funny(X0) <~> kind(X0)) <=> (~tall(X0) | rich(X0))) [input p10]
15. ? [X0] : (~quiet(X0) | ~funny(X0)) <=> generous(paul) [i... | 0 |
If susan is both tall and not rich then someone is not humble and vice versa.
Everyone who is either not tall or not rich is not tall.
If john is both not happy and not strong then someone is not patient or not happy and vice versa.
If susan is generous then someone is either not wise or generous and vice versa.
If mar... | Lucy is not calm. | entailment | (((tall(susan)&~rich(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)<~>~rich(X))=>~tall(X)))&
(((~happy(john)&~strong(john)))<=>(?[X]:((~patient(X)|~happy(X)))))&
((generous(susan))<=>(?[X]:((~wise(X)<~>generous(X)))))&
(((~rich(mary)<~>~humble(mary)))<=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((~old(X)|rich(X))=>~creat... | ~calm(lucy) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4500683586214081638864399
% SZS output start Proof for 4500683586214081638864399
1. (~rich(susan) & tall(susan)) <=> ? [X0] : ~humble(X0) [input p0]
2. ! [X0] : ((~tall(X0) <~> ~rich(X0)) => ~tall(X0)) [input p1]
8. ! [X0] : (~calm(X0) <=> (humble(X0) | quiet(X0))) [input p7]
25. calm(luc... | 0 |
If lucy is not calm then paul is not strong. Everyone who is either wise or not old is either creative or not creative and vice versa. Everyone who is either tall or not old is not strong or not old and vice versa. Everyone who is either rich or creative is not kind or patient and vice versa. Everyone who is both not s... | Fred is generous. | entailment | ((~calm(lucy))=>(~strong(paul)))&
(![X]:((wise(X)<~>~old(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((tall(X)<~>~old(X))<=>(~strong(X)|~old(X))))&
(![X]:((rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:((~strong(X)&~happy(X))<=>(calm(X)|~humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
... | generous(fred) | [
"p4",
"p7",
"p8",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3591378304266851186928046
% SZS output start Proof for 3591378304266851186928046
5. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~humble(X0) | calm(X0))) [input p4]
8. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (wise(X0) <~> kind(X0))) [input p7]
9. ! [X0] : ((strong(X0) & generous(X0)) <=> ... | 0 |
If lucy is either happy or generous then susan is strong or not humble. Everyone who is not patient or not calm is strong or old and vice versa. If someone is either not kind or not strong then someone is not creative. If susan is both not tall and not brave then someone is either not humble or not calm and vice versa.... | Mary is not funny. | entailment | (((happy(lucy)<~>generous(lucy)))=>((strong(susan)|~humble(susan))))&
(![X]:((~patient(X)|~calm(X))<=>(strong(X)|old(X))))&
((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(((~tall(susan)&~brave(susan)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(((~humble(lucy)<~>~brave(lucy)))=>(funny(john)))&
((quiet(alice))<=... | ~funny(mary) | [
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1176177150490210429546165
% SZS output start Proof for 1176177150490210429546165
7. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~brave(X0) | humble(X0))) [input p6]
8. ! [X0] : ((creative(X0) | calm(X0)) <=> (~brave(X0) & ~curious(X0))) [input p7]
12. ! [X0] : ((brave(X0) <~> ~creative(X0)... | 0 |
If fred is not creative or curious then alice is patient or curious and vice versa.
Everyone who is not happy or creative is both not happy and kind.
Everyone who is not creative is not patient or not brave.
If someone is generous or not curious then someone is both not generous and not kind.
Everyone who is calm is no... | Lucy is quiet. | neutral | (((~creative(fred)|curious(fred)))<=>((patient(alice)|curious(alice))))&
(![X]:((~happy(X)|creative(X))=>(~happy(X)&kind(X))))&
(![X]:(~creative(X)=>(~patient(X)|~brave(X))))&
((?[X]:((generous(X)|~curious(X))))=>(?[X]:((~generous(X)&~kind(X)))))&
(![X]:(calm(X)<=>(~humble(X)|brave(X))))&
(![X]:((happy(X)<~>wise(X))<=>... | quiet(lucy) | [] | null | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Mary is funny. | contradiction | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | funny(mary) | [
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6032761165791219889135586
% SZS output start Proof for 6032761165791219889135586
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
7. ! [X0] : ((~kind(X0) | ~curious(X0)) => (~funny(X0) & ~rich(X0))) [input p6]
11. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~wis... | 0 |
Everyone who is either kind or creative is curious or not humble. Everyone who is both calm and brave is curious or not happy. Everyone who is not funny or wise is curious or not kind and vice versa. Everyone who is strong is both patient and not rich. If someone is both tall and patient then someone is not strong. Eve... | Susan is kind. | entailment | (![X]:((kind(X)<~>creative(X))=>(curious(X)|~humble(X))))&
(![X]:((calm(X)&brave(X))=>(curious(X)|~happy(X))))&
(![X]:((~funny(X)|wise(X))<=>(curious(X)|~kind(X))))&
(![X]:(strong(X)=>(patient(X)&~rich(X))))&
((?[X]:((tall(X)&patient(X))))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|~humble(X))=>(~patient(X)&tall(X))))&
... | kind(susan) | [
"p3",
"p5",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8226324965474489834238324
% SZS output start Proof for 8226324965474489834238324
4. ! [X0] : (strong(X0) => (~rich(X0) & patient(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | patient(X0)) => (tall(X0) & ~patient(X0))) [input p5]
8. ! [X0] : ((happy(X0) <~> strong(X0)) => (~happy(X0) <~> pa... | 0 |
Everyone who is not rich or kind is either patient or not kind and vice versa. If someone is either rich or happy then someone is either brave or not patient and vice versa. If someone is not happy then someone is both generous and not brave and vice versa. If someone is either brave or curious then someone is not tall... | Susan is rich. | contradiction | (![X]:((~rich(X)|kind(X))<=>(patient(X)<~>~kind(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(paul))))&
(((funny(lucy)|humble(luc... | rich(susan) | [
"p0",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7200260876482030883702276
% SZS output start Proof for 7200260876482030883702276
1. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (patient(X0) <~> ~kind(X0))) [input p0]
8. ! [X0] : (calm(X0) => (~funny(X0) & ~calm(X0))) [input p7]
10. ! [X0] : ((patient(X0) | curious(X0)) <=> (~wise(X0) & calm(X0... | 0 |
If lucy is both brave and rich then someone is not wise or not humble.
Everyone who is both not kind and wise is both kind and old and vice versa.
Everyone who is not patient or not curious is not patient or strong and vice versa.
Everyone who is either old or happy is not quiet and vice versa.
Everyone who is both not... | Alice is quiet. | entailment | (((brave(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~kind(X)&wise(X))<=>(kind(X)&old(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~patient(X)|strong(X))))&
(![X]:((old(X)<~>happy(X))<=>~quiet(X)))&
(![X]:((~kind(X)&calm(X))<=>strong(X)))&
((?[X]:((~kind(X)&~old(X))))=>(?[X]:((strong(X)&happy(X)))))&
((?... | quiet(alice) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5071552656246992713195044
% SZS output start Proof for 5071552656246992713195044
12. ! [X0] : (~quiet(X0) => (~patient(X0) & ~quiet(X0))) [input p11]
15. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> rich(X0)) [input p14]
24. ~quiet(alice) [input hypothesis]
32. ! [X0] : ((~patient(X0) & ~qui... | 0 |
Everyone who is not kind or creative is either not creative or wise.
Everyone who is old or rich is not calm or happy.
Everyone who is not patient or not kind is old or patient and vice versa.
If alice is not strong or patient then someone is not creative or humble.
Everyone who is kind or not kind is either not patien... | Susan is not patient. | entailment | (![X]:((~kind(X)|creative(X))=>(~creative(X)<~>wise(X))))&
(![X]:((old(X)|rich(X))=>(~calm(X)|happy(X))))&
(![X]:((~patient(X)|~kind(X))<=>(old(X)|patient(X))))&
(((~strong(alice)|patient(alice)))=>(?[X]:((~creative(X)|humble(X)))))&
(![X]:((kind(X)|~kind(X))=>(~patient(X)<~>funny(X))))&
(![X]:(creative(X)=>(~patient(X... | ~patient(susan) | [
"p2",
"p4",
"p6",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5495375402704431405807980
% SZS output start Proof for 5495375402704431405807980
3. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (patient(X0) | old(X0))) [input p2]
5. ! [X0] : ((~kind(X0) | kind(X0)) => (~patient(X0) <~> funny(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~wise(X0)) => brave(X0... | 0 |
Everyone who is wise is either creative or not funny.
Everyone who is wise is either not calm or not strong and vice versa.
If someone is both funny and not rich then someone is not wise.
Everyone who is not quiet is either calm or funny and vice versa.
If mary is either happy or quiet then someone is not quiet or calm... | Mary is not funny. | contradiction | (![X]:(wise(X)=>(creative(X)<~>~funny(X))))&
(![X]:(wise(X)<=>(~calm(X)<~>~strong(X))))&
((?[X]:((funny(X)&~rich(X))))=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)<=>(calm(X)<~>funny(X))))&
(((happy(mary)<~>quiet(mary)))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((happy(X)&~old(X))=>(~funny(X)&humble(X))))&
(![X]:(~calm(X)<=>(cu... | ~funny(mary) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8691379405069529233122389
% SZS output start Proof for 8691379405069529233122389
4. ! [X0] : (~quiet(X0) <=> (calm(X0) <~> funny(X0))) [input p3]
5. (happy(mary) <~> quiet(mary)) <=> ? [X0] : (calm(X0) | ~quiet(X0)) [input p4]
7. ! [X0] : (~calm(X0) <=> (~patient(X0) | curious(X0))) [inpu... | 0 |
If someone is either not humble or not quiet then someone is either funny or not rich.
Everyone who is both tall and not tall is either funny or not creative.
Everyone who is both brave and not quiet is funny.
If someone is either rich or not quiet then someone is not quiet or not brave.
If someone is not calm or not h... | Alice is curious. | contradiction | ((?[X]:((~humble(X)<~>~quiet(X))))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((tall(X)&~tall(X))=>(funny(X)<~>~creative(X))))&
(![X]:((brave(X)&~quiet(X))=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(?[X]:((~quiet(X)|~brave(X)))))&
((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:(brave(X))))&
(![X]:((~calm(X)|strong(X))=>(~crea... | curious(alice) | [
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8479697844627266030147917
% SZS output start Proof for 8479697844627266030147917
6. ! [X0] : ((strong(X0) | ~calm(X0)) => (patient(X0) & ~creative(X0))) [input p5]
9. ! [X0] : ((wise(X0) | curious(X0)) <=> (generous(X0) & strong(X0))) [input p8]
18. creative(alice) <~> ~strong(alice) [inp... | 0 |
If paul is quiet or not creative then lucy is either not generous or not happy.
If someone is patient or old then mary is either curious or not creative.
Everyone who is happy or brave is not kind or creative and vice versa.
Everyone who is old is either kind or not strong and vice versa.
If lucy is quiet then someone ... | John is not curious. | contradiction | (((quiet(paul)|~creative(paul)))=>((~generous(lucy)<~>~happy(lucy))))&
((?[X]:((patient(X)|old(X))))=>((curious(mary)<~>~creative(mary))))&
(![X]:((happy(X)|brave(X))<=>(~kind(X)|creative(X))))&
(![X]:(old(X)<=>(kind(X)<~>~strong(X))))&
((quiet(lucy))=>(?[X]:((~calm(X)&~quiet(X)))))&
(((rich(lucy)<~>~strong(lucy)))=>(?... | ~curious(john) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7530937026625969447592994
% SZS output start Proof for 7530937026625969447592994
7. ! [X0] : (~curious(X0) <=> (funny(X0) & generous(X0))) [input p6]
19. ~generous(john) [input p18]
25. ~curious(john) [input hypothesis]
44. ! [X0] : ((~curious(X0) | (~funny(X0) | ~generous(X0))) & ((funny... | 0 |
Everyone who is not funny is creative or not kind and vice versa.
If someone is quiet then someone is not calm or old.
Everyone who is either rich or tall is not brave.
Everyone who is either old or not quiet is either kind or not tall and vice versa.
Everyone who is curious or not generous is not quiet or strong and v... | Lucy is strong. | entailment | (![X]:(~funny(X)<=>(creative(X)|~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~calm(X)|old(X)))))&
(![X]:((rich(X)<~>tall(X))=>~brave(X)))&
(![X]:((old(X)<~>~quiet(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((curious(X)|~generous(X))<=>(~quiet(X)|strong(X))))&
(![X]:((quiet(X)&kind(X))<=>(~tall(X)<~>brave(X))))&
(((~wise(lucy)&~ki... | strong(lucy) | [
"p4",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2264834498047032666212309
% SZS output start Proof for 2264834498047032666212309
5. ! [X0] : ((~generous(X0) | curious(X0)) <=> (strong(X0) | ~quiet(X0))) [input p4]
15. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~creative(X0))) [input p14]
16. ! [X0] : ((~funny(X0) <~> patient(... | 0 |
Everyone who is not patient or generous is humble. If mary is both not generous and not humble then someone is either not creative or not brave. Everyone who is patient or not creative is either not tall or rich. Everyone who is not quiet or not brave is both not curious and not funny and vice versa. Everyone who is bo... | Paul is tall. | entailment | (![X]:((~patient(X)|generous(X))=>humble(X)))&
(((~generous(mary)&~humble(mary)))=>(?[X]:((~creative(X)<~>~brave(X)))))&
(![X]:((patient(X)|~creative(X))=>(~tall(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))<=>(~curious(X)&~funny(X))))&
(![X]:((quiet(X)&~old(X))=>(patient(X)&~happy(X))))&
(![X]:((funny(X)&~strong(X))<=... | tall(paul) | [
"p0",
"p6",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7877881481336187829874971
% SZS output start Proof for 7877881481336187829874971
1. ! [X0] : ((generous(X0) | ~patient(X0)) => humble(X0)) [input p0]
7. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (calm(X0) | ~rich(X0))) [input p6]
12. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> (humble(X0) & ~tall(X... | 0 |
If someone is not generous then someone is tall or quiet and vice versa.
Everyone who is either not generous or rich is not brave or tall and vice versa.
If someone is not calm then someone is generous or quiet and vice versa.
Everyone who is not brave or not humble is wise or not humble.
Everyone who is either patient... | Fred is creative. | entailment | ((?[X]:(~generous(X)))<=>(?[X]:((tall(X)|quiet(X)))))&
(![X]:((~generous(X)<~>rich(X))<=>(~brave(X)|tall(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((generous(X)|quiet(X)))))&
(![X]:((~brave(X)|~humble(X))=>(wise(X)|~humble(X))))&
(![X]:((patient(X)<~>~quiet(X))<=>(~brave(X)&~tall(X))))&
(![X]:((kind(X)<~>~old(X))=>(~kind(X)<~>... | creative(fred) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4120052652191894750147958
% SZS output start Proof for 4120052652191894750147958
9. ! [X0] : (~curious(X0) <=> (~humble(X0) | ~creative(X0))) [input p8]
16. ! [X0] : ((patient(X0) & curious(X0)) <=> (~creative(X0) | calm(X0))) [input p15]
24. ~creative(fred) [input hypothesis]
53. ! [X0] ... | 0 |
Everyone who is either not quiet or kind is both not humble and not happy.
Everyone who is rich or kind is not generous or funny and vice versa.
If someone is not strong or tall then someone is not old or calm.
Everyone who is either creative or funny is either rich or brave and vice versa.
If mary is either quiet or n... | Mary is not funny. | entailment | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|kind(X))<=>(~generous(X)|funny(X))))&
((?[X]:((~strong(X)|tall(X))))=>(?[X]:((~old(X)|calm(X)))))&
(![X]:((creative(X)<~>funny(X))<=>(rich(X)<~>brave(X))))&
(((quiet(mary)<~>~brave(mary)))<=>((happy(john)<~>kind(john))))&
((?[X]:((~calm(X)|brave(X)... | ~funny(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7169702013094449037468878
% SZS output start Proof for 7169702013094449037468878
20. ~funny(mary) & ~quiet(mary) [input p19]
21. funny(mary) [input hypothesis]
139. ~funny(mary) [cnf transformation 20]
140. funny(mary) [cnf transformation 21]
328. $false [subsumption resolution 140,139]
%... | 0 |
If john is not wise then susan is both wise and patient. Everyone who is not old is not happy or not wise and vice versa. Everyone who is generous or not patient is not humble or quiet and vice versa. Everyone who is strong or not patient is not brave. If someone is not wise or not patient then alice is both wise and n... | Lucy is rich. | contradiction | ((~wise(john))=>((wise(susan)&patient(susan))))&
(![X]:(~old(X)<=>(~happy(X)|~wise(X))))&
(![X]:((generous(X)|~patient(X))<=>(~humble(X)|quiet(X))))&
(![X]:((strong(X)|~patient(X))=>~brave(X)))&
((?[X]:((~wise(X)|~patient(X))))<=>((wise(alice)&~creative(alice))))&
(![X]:((~quiet(X)&tall(X))=>(curious(X)<~>funny(X))))&
... | rich(lucy) | [
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1018419724590675703205031
% SZS output start Proof for 1018419724590675703205031
8. ! [X0] : (~generous(X0) => (strong(X0) & generous(X0))) [input p7]
9. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (wise(X0) | generous(X0))) [input p8]
11. ! [X0] : (~rich(X0) <=> (~wise(X0) | ~strong(X0... | 0 |
If someone is not creative or not generous then paul is both not rich and not old.
Everyone who is not calm or not generous is either tall or not rich and vice versa.
If someone is funny or not brave then someone is both wise and rich.
If someone is either not old or old then someone is either old or generous.
Everyone... | Fred is not rich. | contradiction | ((?[X]:((~creative(X)|~generous(X))))=>((~rich(paul)&~old(paul))))&
(![X]:((~calm(X)|~generous(X))<=>(tall(X)<~>~rich(X))))&
((?[X]:((funny(X)|~brave(X))))=>(?[X]:((wise(X)&rich(X)))))&
((?[X]:((~old(X)<~>old(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((rich(X)|~kind(X))=>(wise(X)&~happy(X))))&
((?[X]:((~brave(X)&~... | ~rich(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 973400637932582719893519
% SZS output start Proof for 973400637932582719893519
22. rich(fred) & ~old(fred) [input p21]
25. ~rich(fred) [input hypothesis]
141. rich(fred) [cnf transformation 22]
145. ~rich(fred) [cnf transformation 25]
372. $false [subsumption resolution 145,141]
% SZS out... | 0 |
Everyone who is either wise or not creative is quiet.
If alice is both patient and brave then john is not generous or funny.
Everyone who is rich or humble is either strong or creative.
Everyone who is both not quiet and not tall is both generous and not humble and vice versa.
If someone is both not old and not funny t... | Mary is patient. | contradiction | (![X]:((wise(X)<~>~creative(X))=>quiet(X)))&
(((patient(alice)&brave(alice)))=>((~generous(john)|funny(john))))&
(![X]:((rich(X)|humble(X))=>(strong(X)<~>creative(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~old(X)&~funny(X))))<=>((~curious(paul)|quiet(paul))))&
(![X]:((calm(X)&brave(X))<=... | patient(mary) | [
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3714616636723259071441665
% SZS output start Proof for 3714616636723259071441665
6. ! [X0] : ((brave(X0) & calm(X0)) <=> (generous(X0) | ~funny(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> (happy(X0) | generous(X0))) [input p10]
13. ! [X0] : ((~strong(X0) & ~patient(X0)... | 0 |
Everyone who is both funny and wise is humble and vice versa.
If someone is either not tall or not old then fred is either calm or not calm and vice versa.
If someone is both happy and not funny then susan is either brave or not funny and vice versa.
Everyone who is both not curious and funny is either not brave or ric... | Lucy is not humble. | neutral | (![X]:((funny(X)&wise(X))<=>humble(X)))&
((?[X]:((~tall(X)<~>~old(X))))<=>((calm(fred)<~>~calm(fred))))&
((?[X]:((happy(X)&~funny(X))))<=>((brave(susan)<~>~funny(susan))))&
(![X]:((~curious(X)&funny(X))=>(~brave(X)<~>rich(X))))&
(![X]:((generous(X)&funny(X))<=>(~quiet(X)|~patient(X))))&
(![X]:(~wise(X)<=>(old(X)|tall(X... | ~humble(lucy) | [] | null | 0 |
Everyone who is both curious and brave is not brave and vice versa.
If paul is both not curious and wise then someone is quiet or not tall.
Everyone who is either calm or not kind is generous and vice versa.
Everyone who is not quiet or strong is both tall and not brave and vice versa.
Everyone who is happy or not stro... | Mary is humble. | contradiction | (![X]:((curious(X)&brave(X))<=>~brave(X)))&
(((~curious(paul)&wise(paul)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>generous(X)))&
(![X]:((~quiet(X)|strong(X))<=>(tall(X)&~brave(X))))&
(![X]:((happy(X)|~strong(X))=>(old(X)|~patient(X))))&
(((~humble(fred)&~happy(fred)))=>(?[X]:((rich(X)|~rich(X))))... | humble(mary) | [
"p0",
"p2",
"p3",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2834411360081114904976098
% SZS output start Proof for 2834411360081114904976098
1. ! [X0] : ((brave(X0) & curious(X0)) <=> ~brave(X0)) [input p0]
3. ! [X0] : ((calm(X0) <~> ~kind(X0)) <=> generous(X0)) [input p2]
4. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (~brave(X0) & tall(X0))) [input ... | 0 |
Everyone who is kind is not creative or not curious. If someone is kind then someone is either wise or not quiet and vice versa. If someone is both not calm and old then someone is not creative or not old. Everyone who is both quiet and not calm is either calm or not strong. If lucy is not happy then susan is not wise ... | Mary is happy. | entailment | (![X]:(kind(X)=>(~creative(X)|~curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((quiet(X)&~calm(X))=>(calm(X)<~>~strong(X))))&
((~happy(lucy))=>((~wise(susan)|strong(susan))))&
(![X]:((~funny(X)|creative(X))<=>kind(X)))&
(![X]:((ta... | happy(mary) | [
"p0",
"p3",
"p5",
"p9",
"p13",
"p14",
"p18",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2457794295976751150180554
% SZS output start Proof for 2457794295976751150180554
1. ! [X0] : (kind(X0) => (~curious(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (calm(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> kind(X0)) [input... | 0 |
If mary is funny or not rich then someone is not strong.
Everyone who is both patient and not curious is either not humble or tall.
If susan is both not old and not strong then someone is not brave or not patient and vice versa.
If alice is both patient and not patient then someone is tall or creative and vice versa.
E... | Paul is creative. | contradiction | (((funny(mary)|~rich(mary)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~humble(X)<~>tall(X))))&
(((~old(susan)&~strong(susan)))<=>(?[X]:((~brave(X)|~patient(X)))))&
(((patient(alice)&~patient(alice)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((~rich(X)|~calm(X))=>rich(X)))&
(![X]:((wise(X)<~>kind(X))<=>(... | creative(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 794598487081081041882439
% SZS output start Proof for 794598487081081041882439
4. (~patient(alice) & patient(alice)) <=> ? [X0] : (creative(X0) | tall(X0)) [input p3]
23. creative(paul) [input hypothesis]
41. ((~patient(alice) & patient(alice)) | ! [X0] : (~creative(X0) & ~tall(X0))) & (?... | 0 |
Everyone who is either not happy or not rich is either not kind or not patient and vice versa.
Everyone who is kind or humble is both not happy and calm.
Everyone who is not generous is kind or tall and vice versa.
If someone is both calm and not patient then john is either strong or kind.
Everyone who is either curiou... | Alice is not funny. | neutral | (![X]:((~happy(X)<~>~rich(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((kind(X)|humble(X))=>(~happy(X)&calm(X))))&
(![X]:(~generous(X)<=>(kind(X)|tall(X))))&
((?[X]:((calm(X)&~patient(X))))=>((strong(john)<~>kind(john))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~calm(X))))&
((~rich(paul))=>(humble(alice)))&
(![X]:((~quie... | ~funny(alice) | [] | null | 0 |
Everyone who is brave or not generous is not patient.
If someone is either not creative or not strong then alice is both creative and not rich and vice versa.
If susan is both not kind and not happy then someone is both strong and curious and vice versa.
If john is both old and not generous then someone is either tall ... | Alice is rich. | entailment | (![X]:((brave(X)|~generous(X))=>~patient(X)))&
((?[X]:((~creative(X)<~>~strong(X))))<=>((creative(alice)&~rich(alice))))&
(((~kind(susan)&~happy(susan)))<=>(?[X]:((strong(X)&curious(X)))))&
(((old(john)&~generous(john)))=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:(patient(X)<=>(calm(X)<~>curious(X))))&
((?[X]:(~strong(X)))=... | rich(alice) | [
"p1",
"p6",
"p8",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 152798457764231956590838
% SZS output start Proof for 152798457764231956590838
2. ? [X0] : (~creative(X0) <~> ~strong(X0)) <=> (~rich(alice) & creative(alice)) [input p1]
7. ? [X0] : ~calm(X0) <=> ~patient(john) [input p6]
9. ! [X0] : ((creative(X0) | ~humble(X0)) <=> (~generous(X0) | gen... | 0 |
If mary is both happy and not kind then someone is both old and curious and vice versa.
Everyone who is not strong or not generous is creative.
Everyone who is both quiet and not rich is either patient or calm and vice versa.
If paul is strong or not generous then someone is both kind and tall and vice versa.
Everyone ... | Alice is rich. | neutral | (((happy(mary)&~kind(mary)))<=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~strong(X)|~generous(X))=>creative(X)))&
(![X]:((quiet(X)&~rich(X))<=>(patient(X)<~>calm(X))))&
(((strong(paul)|~generous(paul)))<=>(?[X]:((kind(X)&tall(X)))))&
(![X]:(~humble(X)<=>(~calm(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~happy(X))=>(creative(X)<~... | rich(alice) | [] | null | 0 |
If someone is humble or not happy then someone is not old.
Everyone who is both creative and not humble is both not brave and wise and vice versa.
Everyone who is both patient and not rich is both not old and old.
Everyone who is both not rich and not funny is both not calm and not wise and vice versa.
If mary is not c... | Mary is calm. | entailment | ((?[X]:((humble(X)|~happy(X))))=>(?[X]:(~old(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&wise(X))))&
(![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>g... | calm(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1268164783742403793632549
% SZS output start Proof for 1268164783742403793632549
13. ! [X0] : ((calm(X0) & funny(X0)) <=> (tall(X0) <~> ~tall(X0))) [input p12]
18. ~calm(mary) [input hypothesis]
55. ! [X0] : (((calm(X0) & funny(X0)) | ((tall(X0) | tall(X0)) & (~tall(X0) | ~tall(X0)))) & (... | 0 |
Everyone who is either not rich or happy is not curious and vice versa. Everyone who is not wise or not happy is either not funny or strong and vice versa. Everyone who is not old is both not kind and strong. If someone is happy then lucy is either kind or not creative and vice versa. Everyone who is either not brave o... | Alice is not creative. | contradiction | (![X]:((~rich(X)<~>happy(X))<=>~curious(X)))&
(![X]:((~wise(X)|~happy(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>(~kind(X)&strong(X))))&
((?[X]:(happy(X)))<=>((kind(lucy)<~>~creative(lucy))))&
(![X]:((~brave(X)<~>~happy(X))<=>(strong(X)|calm(X))))&
(((strong(alice)&~creative(alice)))<=>((creative(mary)&humble(mar... | ~creative(alice) | [
"p1",
"p2",
"p4",
"p11",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 633650822648145798481494
% SZS output start Proof for 633650822648145798481494
2. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (~funny(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (~old(X0) => (strong(X0) & ~kind(X0))) [input p2]
5. ! [X0] : ((~brave(X0) <~> ~happy(X0)) <=> (calm(X0) | strong(X0... | 0 |
Everyone who is kind is either strong or not creative. Everyone who is not tall or not brave is brave. If someone is not funny or not strong then paul is either not calm or old. Everyone who is not happy or funny is strong and vice versa. Everyone who is both not rich and brave is not tall and vice versa. Everyone who ... | Fred is wise. | entailment | (![X]:(kind(X)=>(strong(X)<~>~creative(X))))&
(![X]:((~tall(X)|~brave(X))=>brave(X)))&
((?[X]:((~funny(X)|~strong(X))))=>((~calm(paul)<~>old(paul))))&
(![X]:((~happy(X)|funny(X))<=>strong(X)))&
(![X]:((~rich(X)&brave(X))<=>~tall(X)))&
(![X]:((~curious(X)<~>~calm(X))<=>(kind(X)|calm(X))))&
(((~strong(fred)&creative(fred... | wise(fred) | [
"p1",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 22516974146993413281027
% SZS output start Proof for 22516974146993413281027
2. ! [X0] : ((~brave(X0) | ~tall(X0)) => brave(X0)) [input p1]
9. ! [X0] : ((~rich(X0) | calm(X0)) => (~brave(X0) & ~quiet(X0))) [input p8]
12. ? [X0] : (~generous(X0) | ~wise(X0)) => (~happy(mary) & funny(mary))... | 0 |
If alice is both kind and not rich then someone is not wise or quiet.
Everyone who is either funny or not kind is not rich or not old and vice versa.
Everyone who is not calm or calm is not rich or not quiet.
If someone is generous then someone is not kind and vice versa.
If alice is both curious and calm then someone ... | Mary is not calm. | entailment | (((kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~rich(X)|~old(X))))&
(![X]:((~calm(X)|calm(X))=>(~rich(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:(~tall(X))))&
(![X]:(~curious(X)=>(strong(X)<~>creative(X))))&
(((~hap... | ~calm(mary) | [
"p1",
"p4",
"p8",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7388184821926986038906980
% SZS output start Proof for 7388184821926986038906980
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~old(X0) | ~rich(X0))) [input p1]
5. (calm(alice) & curious(alice)) <=> ? [X0] : ~tall(X0) [input p4]
9. ? [X0] : calm(X0) <=> ? [X0] : (~humble(X0) & ~tall(X0)) [i... | 0 |
If lucy is both wise and tall then mary is either not creative or not funny and vice versa.
Everyone who is tall or generous is both not creative and calm and vice versa.
If mary is both not strong and happy then someone is both funny and not funny.
If fred is either curious or not rich then someone is both happy and n... | Fred is strong. | contradiction | (((wise(lucy)&tall(lucy)))<=>((~creative(mary)<~>~funny(mary))))&
(![X]:((tall(X)|generous(X))<=>(~creative(X)&calm(X))))&
(((~strong(mary)&happy(mary)))=>(?[X]:((funny(X)&~funny(X)))))&
(((curious(fred)<~>~rich(fred)))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(![X]:((creative(X)<~>rich(X))=>(... | strong(fred) | [
"p7",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8132548298364427503550684
% SZS output start Proof for 8132548298364427503550684
8. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p7]
9. ! [X0] : ((~curious(X0) | curious(X0)) => ~generous(X0)) [input p8]
13. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> ~quiet(X0)) [input p12]
15. ! [X0] : ((~... | 0 |
Everyone who is either rich or tall is either humble or rich.
Everyone who is patient is old or not strong.
Everyone who is both funny and not tall is either not kind or humble.
If susan is either not curious or patient then someone is not funny.
Everyone who is strong or not humble is not old.
If someone is both wise ... | Susan is calm. | entailment | (![X]:((rich(X)<~>tall(X))=>(humble(X)<~>rich(X))))&
(![X]:(patient(X)=>(old(X)|~strong(X))))&
(![X]:((funny(X)&~tall(X))=>(~kind(X)<~>humble(X))))&
(((~curious(susan)<~>patient(susan)))=>(?[X]:(~funny(X))))&
(![X]:((strong(X)|~humble(X))=>~old(X)))&
((?[X]:((wise(X)&rich(X))))<=>((patient(john)<~>brave(john))))&
(![X]... | calm(susan) | [
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1472637168136699553958238
% SZS output start Proof for 1472637168136699553958238
9. ! [X0] : ((~funny(X0) | funny(X0)) <=> brave(X0)) [input p8]
10. ! [X0] : ((~calm(X0) & creative(X0)) => (~strong(X0) | ~brave(X0))) [input p9]
12. ! [X0] : ((~funny(X0) | brave(X0)) => (~funny(X0) & stron... | 0 |
If someone is strong then susan is humble or not quiet and vice versa.
Everyone who is not brave or generous is curious.
If someone is both not creative and kind then someone is not generous.
Everyone who is not rich or tall is not patient or curious.
If someone is calm then john is old and vice versa.
If susan is curi... | Paul is not patient. | contradiction | ((?[X]:(strong(X)))<=>((humble(susan)|~quiet(susan))))&
(![X]:((~brave(X)|generous(X))=>curious(X)))&
((?[X]:((~creative(X)&kind(X))))=>(?[X]:(~generous(X))))&
(![X]:((~rich(X)|tall(X))=>(~patient(X)|curious(X))))&
((?[X]:(calm(X)))<=>(old(john)))&
(((curious(susan)|generous(susan)))<=>(creative(alice)))&
(![X]:((funny... | ~patient(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5890561997425870336577811
% SZS output start Proof for 5890561997425870336577811
10. ! [X0] : (~brave(X0) <=> (~patient(X0) & brave(X0))) [input p9]
21. ~patient(paul) [input hypothesis]
48. ! [X0] : ((~brave(X0) | (patient(X0) | ~brave(X0))) & ((~patient(X0) & brave(X0)) | brave(X0))) [n... | 0 |
Everyone who is either not rich or tall is either tall or not old.
If john is patient then susan is humble.
If mary is both not curious and not tall then lucy is rich or not old and vice versa.
If someone is generous or curious then someone is both not tall and not humble and vice versa.
Everyone who is both not funny ... | Fred is not brave. | entailment | (![X]:((~rich(X)<~>tall(X))=>(tall(X)<~>~old(X))))&
((patient(john))=>(humble(susan)))&
(((~curious(mary)&~tall(mary)))<=>((rich(lucy)|~old(lucy))))&
((?[X]:((generous(X)|curious(X))))<=>(?[X]:((~tall(X)&~humble(X)))))&
(![X]:((~funny(X)&~patient(X))=>(~old(X)&humble(X))))&
(((funny(john)<~>creative(john)))<=>((wise(pa... | ~brave(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 61864183017689466264892
% SZS output start Proof for 61864183017689466264892
19. ~brave(fred) & ~generous(fred) [input p18]
25. brave(fred) [input hypothesis]
126. ~brave(fred) [cnf transformation 19]
134. brave(fred) [cnf transformation 25]
310. $false [subsumption resolution 134,126]
% ... | 0 |
If lucy is both not wise and not calm then someone is both not funny and not patient. Everyone who is rich is either strong or creative and vice versa. Everyone who is either humble or patient is either quiet or not curious and vice versa. If someone is either not humble or tall then john is quiet and vice versa. Every... | John is not wise. | entailment | (((~wise(lucy)&~calm(lucy)))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:(rich(X)<=>(strong(X)<~>creative(X))))&
(![X]:((humble(X)<~>patient(X))<=>(quiet(X)<~>~curious(X))))&
((?[X]:((~humble(X)<~>tall(X))))<=>(quiet(john)))&
(![X]:(~funny(X)<=>(~humble(X)|~rich(X))))&
(![X]:((kind(X)|~generous(X))<=>(creative(X)&~funny(... | ~wise(john) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6351442383448614300157699
% SZS output start Proof for 6351442383448614300157699
4. ? [X0] : (~humble(X0) <~> tall(X0)) <=> quiet(john) [input p3]
5. ! [X0] : (~funny(X0) <=> (~rich(X0) | ~humble(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~funny(X0) & creative(X0))) [in... | 0 |
If someone is rich or not old then alice is either old or wise and vice versa.
Everyone who is either kind or quiet is both not patient and calm.
Everyone who is humble or old is old or not brave and vice versa.
Everyone who is not strong or not patient is not funny and vice versa.
Everyone who is not calm or calm is n... | John is not tall. | entailment | ((?[X]:((rich(X)|~old(X))))<=>((old(alice)<~>wise(alice))))&
(![X]:((kind(X)<~>quiet(X))=>(~patient(X)&calm(X))))&
(![X]:((humble(X)|old(X))<=>(old(X)|~brave(X))))&
(![X]:((~strong(X)|~patient(X))<=>~funny(X)))&
(![X]:((~calm(X)|calm(X))=>~happy(X)))&
(![X]:((~calm(X)<~>~kind(X))<=>(~rich(X)|~generous(X))))&
(((~happy(... | ~tall(john) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 918059897497055911143793
% SZS output start Proof for 918059897497055911143793
5. ! [X0] : ((calm(X0) | ~calm(X0)) => ~happy(X0)) [input p4]
11. ? [X0] : happy(X0) <=> ? [X0] : tall(X0) [input p10]
25. tall(john) [input hypothesis]
27. ? [X0] : happy(X0) <=> ? [X1] : tall(X1) [rectify 11]... | 0 |
If someone is rich then someone is either strong or not strong. If alice is either not quiet or old then someone is both wise and not calm and vice versa. Everyone who is generous or not tall is either not calm or not humble and vice versa. Everyone who is either not rich or creative is both brave and creative. If alic... | John is wise. | contradiction | ((?[X]:(rich(X)))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~quiet(alice)<~>old(alice)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X... | wise(john) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7761304639474473515941948
% SZS output start Proof for 7761304639474473515941948
6. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p5]
16. ! [X0] : (strong(X0) <=> (quiet(X0) & ~strong(X0))) [input p15]
23. wise(john) [input hypothesis]
25. ? [X0] : (~funny(X0... | 0 |
Everyone who is either not rich or not quiet is tall and vice versa.
Everyone who is not rich is not curious and vice versa.
Everyone who is patient is calm or rich.
Everyone who is not creative or strong is either not quiet or not patient.
Everyone who is patient or not wise is strong or not old and vice versa.
If som... | Mary is strong. | neutral | (![X]:((~rich(X)<~>~quiet(X))<=>tall(X)))&
(![X]:(~rich(X)<=>~curious(X)))&
(![X]:(patient(X)=>(calm(X)|rich(X))))&
(![X]:((~creative(X)|strong(X))=>(~quiet(X)<~>~patient(X))))&
(![X]:((patient(X)|~wise(X))<=>(strong(X)|~old(X))))&
((?[X]:((~kind(X)&~strong(X))))<=>((~funny(lucy)<~>~creative(lucy))))&
(((brave(alice)|h... | strong(mary) | [] | null | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Lucy is not quiet. | contradiction | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | ~quiet(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3335588072258833810153279
% SZS output start Proof for 3335588072258833810153279
1. ! [X0] : ((strong(X0) & ~tall(X0)) <=> funny(X0)) [input p0]
2. ! [X0] : ((kind(X0) & curious(X0)) <=> (happy(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~patient(X0)) => (~quiet(X0) <~> humbl... | 0 |
If john is not quiet then someone is not wise.
Everyone who is not rich is either not curious or not tall.
If someone is patient then paul is both kind and humble and vice versa.
Everyone who is kind or quiet is both not happy and humble.
Everyone who is not rich or not tall is calm and vice versa.
If john is funny the... | Susan is humble. | entailment | ((~quiet(john))=>(?[X]:(~wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>~tall(X))))&
((?[X]:(patient(X)))<=>((kind(paul)&humble(paul))))&
(![X]:((kind(X)|quiet(X))=>(~happy(X)&humble(X))))&
(![X]:((~rich(X)|~tall(X))<=>calm(X)))&
((funny(john))=>((~strong(susan)&strong(susan))))&
(((~quiet(mary)|creative(mary)))<=>((~pati... | humble(susan) | [
"p3",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5241670703783796412210863
% SZS output start Proof for 5241670703783796412210863
4. ! [X0] : ((quiet(X0) | kind(X0)) => (humble(X0) & ~happy(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) & ~old(X0)) => ~funny(X0)) [input p11]
15. ! [X0] : ((~humble(X0) | quiet(X0)) => ~old(X0)) [input p14]
1... | 0 |
Everyone who is either not old or rich is calm or strong.
If alice is not brave or creative then someone is either not curious or not humble.
If mary is funny then someone is wise.
If john is patient then someone is either not old or not quiet.
Everyone who is not funny is not happy.
If someone is both patient and brav... | Paul is brave. | neutral | (![X]:((~old(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((~brave(alice)|creative(alice)))=>(?[X]:((~curious(X)<~>~humble(X)))))&
((funny(mary))=>(?[X]:(wise(X))))&
((patient(john))=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:(~funny(X)=>~happy(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~wise(X)|strong(X)))))&
((?[X]:(~bra... | brave(paul) | [] | null | 0 |
Everyone who is not old or brave is both not brave and not old and vice versa. If someone is humble or happy then mary is either tall or not creative. Everyone who is not brave or kind is not funny and vice versa. Everyone who is rich is wise or not tall. Everyone who is either not curious or not calm is curious and vi... | Alice is wise. | neutral | (![X]:((~old(X)|brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((humble(X)|happy(X))))=>((tall(mary)<~>~creative(mary))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>... | wise(alice) | [] | null | 0 |
Everyone who is both not funny and tall is not generous or not happy and vice versa.
If paul is either quiet or not quiet then paul is not funny or not curious.
If susan is either strong or creative then fred is both not brave and not kind.
Everyone who is wise is either quiet or not rich and vice versa.
Everyone who i... | Fred is strong. | neutral | (![X]:((~funny(X)&tall(X))<=>(~generous(X)|~happy(X))))&
(((quiet(paul)<~>~quiet(paul)))=>((~funny(paul)|~curious(paul))))&
(((strong(susan)<~>creative(susan)))=>((~brave(fred)&~kind(fred))))&
(![X]:(wise(X)<=>(quiet(X)<~>~rich(X))))&
(![X]:((strong(X)&curious(X))<=>(~wise(X)<~>old(X))))&
((strong(susan))=>(?[X]:((~kin... | strong(fred) | [] | null | 0 |
If paul is both not generous and wise then alice is either rich or not old.
Everyone who is not quiet or not tall is either kind or brave and vice versa.
Everyone who is either not brave or not calm is not tall and vice versa.
If someone is both not tall and kind then lucy is not happy or not strong and vice versa.
If ... | Fred is not tall. | entailment | (((~generous(paul)&wise(paul)))=>((rich(alice)<~>~old(alice))))&
(![X]:((~quiet(X)|~tall(X))<=>(kind(X)<~>brave(X))))&
(![X]:((~brave(X)<~>~calm(X))<=>~tall(X)))&
((?[X]:((~tall(X)&kind(X))))<=>((~happy(lucy)|~strong(lucy))))&
((?[X]:((kind(X)&~kind(X))))<=>((calm(fred)<~>~creative(fred))))&
(![X]:((~tall(X)&~calm(X))<... | ~tall(fred) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 419963666893413278739827
% SZS output start Proof for 419963666893413278739827
6. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> brave(X0)) [input p5]
9. ! [X0] : ((brave(X0) <~> ~brave(X0)) <=> (~tall(X0) & ~brave(X0))) [input p8]
25. tall(fred) [input hypothesis]
50. ! [X0] : (((~calm(X0) & ~tal... | 0 |
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