premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is creative or not patient is both not generous and calm.
Everyone who is creative or not quiet is both happy and quiet and vice versa.
Everyone who is not generous is calm or not wise.
If susan is not wise then someone is not tall and vice versa.
If someone is either kind or humble then someone is not str... | Susan is not tall. | contradiction | (![X]:((creative(X)|~patient(X))=>(~generous(X)&calm(X))))&
(![X]:((creative(X)|~quiet(X))<=>(happy(X)&quiet(X))))&
(![X]:(~generous(X)=>(calm(X)|~wise(X))))&
((~wise(susan))<=>(?[X]:(~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(~creative(X)<=>(generous(X)&~creative(X))))&
((?... | ~tall(susan) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1284561031399498828537048
% SZS output start Proof for 1284561031399498828537048
1. ! [X0] : ((~patient(X0) | creative(X0)) => (calm(X0) & ~generous(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
6. ! [X0] : (~creative(X0) <=> (~creative(... | 0 |
Everyone who is not wise or not quiet is wise.
If lucy is happy then someone is both not calm and not quiet and vice versa.
Everyone who is not kind is either quiet or not brave.
Everyone who is not kind is not old and vice versa.
If paul is either wise or not patient then someone is either not wise or funny.
If paul i... | Alice is not wise. | contradiction | (![X]:((~wise(X)|~quiet(X))=>wise(X)))&
((happy(lucy))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(~kind(X)=>(quiet(X)<~>~brave(X))))&
(![X]:(~kind(X)<=>~old(X)))&
(((wise(paul)<~>~patient(paul)))=>(?[X]:((~wise(X)<~>funny(X)))))&
((~wise(paul))=>(?[X]:((~old(X)|~tall(X)))))&
(((rich(fred)|creative(fred)))=>(?[X]:((~old(X... | ~wise(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 835484220226046697839459
% SZS output start Proof for 835484220226046697839459
1. ! [X0] : ((~quiet(X0) | ~wise(X0)) => wise(X0)) [input p0]
25. ~wise(alice) [input hypothesis]
27. ! [X0] : (wise(X0) | (quiet(X0) & wise(X0))) [ennf transformation 1]
81. wise(X0) | wise(X0) [cnf transforma... | 0 |
Everyone who is either not rich or quiet is not strong or wise and vice versa. If someone is either not quiet or kind then paul is both not quiet and not kind. Everyone who is not brave or not patient is not patient. Everyone who is not kind is both not patient and quiet and vice versa. If someone is not funny or not t... | Mary is rich. | entailment | (![X]:((~rich(X)<~>quiet(X))<=>(~strong(X)|wise(X))))&
((?[X]:((~quiet(X)<~>kind(X))))=>((~quiet(paul)&~kind(paul))))&
(![X]:((~brave(X)|~patient(X))=>~patient(X)))&
(![X]:(~kind(X)<=>(~patient(X)&quiet(X))))&
((?[X]:((~funny(X)|~tall(X))))<=>((humble(alice)|creative(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~calm(X)... | rich(mary) | [
"p1",
"p2",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4249633726705417550716960
% SZS output start Proof for 4249633726705417550716960
2. ? [X0] : (~quiet(X0) <~> kind(X0)) => (~kind(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~patient(X0) | ~brave(X0)) => ~patient(X0)) [input p2]
6. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~calm(X0) <~>... | 0 |
Everyone who is old is not tall. Everyone who is not quiet is either curious or funny. If someone is both not rich and rich then john is either humble or not generous. If someone is either strong or not calm then someone is not tall or rich and vice versa. Everyone who is not wise or not creative is not humble or not s... | Susan is wise. | entailment | (![X]:(old(X)=>~tall(X)))&
(![X]:(~quiet(X)=>(curious(X)<~>funny(X))))&
((?[X]:((~rich(X)&rich(X))))=>((humble(john)<~>~generous(john))))&
((?[X]:((strong(X)<~>~calm(X))))<=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~wise(X)|~creative(X))=>(~humble(X)|~strong(X))))&
(![X]:((~generous(X)|~humble(X))=>(old(X)&calm(X))))&
(((... | wise(susan) | [
"p4",
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5235807323763266931729505
% SZS output start Proof for 5235807323763266931729505
5. ! [X0] : ((~creative(X0) | ~wise(X0)) => (~strong(X0) | ~humble(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~generous(X0)) => (calm(X0) & old(X0))) [input p5]
11. ! [X0] : (~humble(X0) <=> (~strong(X0) | ... | 0 |
Everyone who is not curious or patient is brave and vice versa. If someone is both old and brave then someone is either creative or not strong and vice versa. Everyone who is both creative and not wise is not humble or funny and vice versa. Everyone who is funny is both rich and not creative and vice versa. If paul is ... | Susan is not generous. | entailment | (![X]:((~curious(X)|patient(X))<=>brave(X)))&
((?[X]:((old(X)&brave(X))))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((creative(X)&~wise(X))<=>(~humble(X)|funny(X))))&
(![X]:(funny(X)<=>(rich(X)&~creative(X))))&
(((~calm(paul)<~>kind(paul)))<=>((~funny(mary)&calm(mary))))&
(![X]:((~patient(X)<~>~rich(X))=>~tall(X)))... | ~generous(susan) | [
"p2",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1101436104708863506500537
% SZS output start Proof for 1101436104708863506500537
3. ! [X0] : ((~wise(X0) & creative(X0)) <=> (funny(X0) | ~humble(X0))) [input p2]
9. ! [X0] : ((~rich(X0) | quiet(X0)) <=> (wise(X0) & ~old(X0))) [input p8]
15. ! [X0] : ((generous(X0) | ~creative(X0)) <=> ~h... | 0 |
Everyone who is not old or generous is patient.
If someone is not patient then fred is both not old and not tall and vice versa.
Everyone who is either old or generous is both creative and brave.
Everyone who is both quiet and curious is not patient or not brave.
Everyone who is not quiet or not creative is either curi... | Mary is brave. | contradiction | (![X]:((~old(X)|generous(X))=>patient(X)))&
((?[X]:(~patient(X)))<=>((~old(fred)&~tall(fred))))&
(![X]:((old(X)<~>generous(X))=>(creative(X)&brave(X))))&
(![X]:((quiet(X)&curious(X))=>(~patient(X)|~brave(X))))&
(![X]:((~quiet(X)|~creative(X))=>(curious(X)<~>~rich(X))))&
(((~humble(susan)&~old(susan)))<=>(~happy(mary)))... | brave(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2146825844554336522312235
% SZS output start Proof for 2146825844554336522312235
1. ! [X0] : ((generous(X0) | ~old(X0)) => patient(X0)) [input p0]
2. ? [X0] : ~patient(X0) <=> (~tall(fred) & ~old(fred)) [input p1]
3. ! [X0] : ((old(X0) <~> generous(X0)) => (brave(X0) & creative(X0))) [inp... | 0 |
If someone is patient then someone is not kind and vice versa. If fred is generous then fred is not brave. Everyone who is not brave or brave is either creative or curious. Everyone who is both brave and rich is both rich and not funny and vice versa. Everyone who is both tall and not kind is both not generous and crea... | Susan is quiet. | contradiction | ((?[X]:(patient(X)))<=>(?[X]:(~kind(X))))&
((generous(fred))=>(~brave(fred)))&
(![X]:((~brave(X)|brave(X))=>(creative(X)<~>curious(X))))&
(![X]:((brave(X)&rich(X))<=>(rich(X)&~funny(X))))&
(![X]:((tall(X)&~kind(X))<=>(~generous(X)&creative(X))))&
(![X]:((curious(X)<~>generous(X))=>(tall(X)<~>wise(X))))&
((?[X]:((~calm(... | quiet(susan) | [
"p2",
"p7",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4614749460790254422807001
% SZS output start Proof for 4614749460790254422807001
3. ! [X0] : ((brave(X0) | ~brave(X0)) => (creative(X0) <~> curious(X0))) [input p2]
8. ! [X0] : ((funny(X0) & ~calm(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p7]
9. ! [X0] : ((generous(X0) | ~brave(X0))... | 0 |
Everyone who is both quiet and not creative is strong. If someone is patient then someone is either old or generous. Everyone who is rich or funny is happy or not humble and vice versa. If someone is either not rich or brave then someone is either not strong or generous and vice versa. Everyone who is both humble and n... | Alice is not creative. | neutral | (![X]:((quiet(X)&~creative(X))=>strong(X)))&
((?[X]:(patient(X)))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((rich(X)|funny(X))<=>(happy(X)|~humble(X))))&
((?[X]:((~rich(X)<~>brave(X))))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((humble(X)&~funny(X))=>(curious(X)<~>~quiet(X))))&
(((old(mary)|tall(mary)))<=>((~gener... | ~creative(alice) | [] | null | 0 |
Everyone who is not patient is either generous or not curious.
If someone is both not funny and quiet then someone is either creative or not wise.
Everyone who is both not humble and not curious is either not patient or not humble and vice versa.
If lucy is not happy then someone is either not kind or not happy and vic... | Susan is not curious. | entailment | (![X]:(~patient(X)=>(generous(X)<~>~curious(X))))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~humble(X)&~curious(X))<=>(~patient(X)<~>~humble(X))))&
((~happy(lucy))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:(patient(X)=>(rich(X)<~>brave(X))))&
((~kind(lucy))<=>((creative(paul)&patient(... | ~curious(susan) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8259012821896476768734057
% SZS output start Proof for 8259012821896476768734057
8. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (kind(X0) & ~kind(X0))) [input p7]
19. ~brave(susan) & wise(susan) [input p18]
25. curious(susan) [input hypothesis]
52. ! [X0] : (((curious(X0) & ~brave(X0)) | (~k... | 0 |
Everyone who is not funny is not curious or not rich and vice versa.
If mary is wise then alice is both strong and not calm and vice versa.
Everyone who is either kind or tall is both not happy and not funny and vice versa.
Everyone who is both not quiet and brave is either not funny or not strong and vice versa.
Every... | Paul is funny. | neutral | (![X]:(~funny(X)<=>(~curious(X)|~rich(X))))&
((wise(mary))<=>((strong(alice)&~calm(alice))))&
(![X]:((kind(X)<~>tall(X))<=>(~happy(X)&~funny(X))))&
(![X]:((~quiet(X)&brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(~generous(X)|generous(X))))&
((?[X]:((~creative(X)<~>funny(X))))<=>(?[X]:((~humble(X)|~strong(X)... | funny(paul) | [] | null | 0 |
If fred is both calm and not humble then alice is not humble and vice versa.
If someone is either not quiet or not kind then paul is either not tall or not humble.
Everyone who is either not rich or not funny is not calm or not quiet and vice versa.
If paul is not quiet then paul is either brave or not quiet.
Everyone ... | Fred is kind. | entailment | (((calm(fred)&~humble(fred)))<=>(~humble(alice)))&
((?[X]:((~quiet(X)<~>~kind(X))))=>((~tall(paul)<~>~humble(paul))))&
(![X]:((~rich(X)<~>~funny(X))<=>(~calm(X)|~quiet(X))))&
((~quiet(paul))=>((brave(paul)<~>~quiet(paul))))&
(![X]:((rich(X)&~quiet(X))<=>~kind(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~generous(X)&~tall(X))... | kind(fred) | [
"p2",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5765801494093694425924417
% SZS output start Proof for 5765801494093694425924417
3. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> (~quiet(X0) | ~calm(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) & rich(X0)) <=> ~kind(X0)) [input p4]
15. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X0] : ~funny(X0) [input... | 0 |
If alice is both generous and not calm then susan is both humble and curious and vice versa.
Everyone who is either curious or not patient is either tall or not strong and vice versa.
If someone is not happy or curious then paul is not humble or not old and vice versa.
Everyone who is either creative or funny is not st... | Alice is not wise. | contradiction | (((generous(alice)&~calm(alice)))<=>((humble(susan)&curious(susan))))&
(![X]:((curious(X)<~>~patient(X))<=>(tall(X)<~>~strong(X))))&
((?[X]:((~happy(X)|curious(X))))<=>((~humble(paul)|~old(paul))))&
(![X]:((creative(X)<~>funny(X))=>(~strong(X)|strong(X))))&
(![X]:((~calm(X)<~>~curious(X))=>(~strong(X)|generous(X))))&
(... | ~wise(alice) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5506545442633332621920928
% SZS output start Proof for 5506545442633332621920928
6. (tall(alice) & wise(alice)) <=> ? [X0] : (generous(X0) | ~tall(X0)) [input p5]
19. ~tall(fred) [input p18]
25. ~wise(alice) [input hypothesis]
49. ((tall(alice) & wise(alice)) | ! [X0] : (~generous(X0) & t... | 0 |
Everyone who is curious is not generous and vice versa.
Everyone who is kind or not curious is both brave and generous and vice versa.
Everyone who is not creative or wise is either tall or brave and vice versa.
Everyone who is not rich or happy is either happy or calm.
If fred is both not patient and happy then fred i... | Lucy is not curious. | contradiction | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy... | ~curious(lucy) | [
"p0",
"p1",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3280472016944784909739756
% SZS output start Proof for 3280472016944784909739756
1. ! [X0] : (curious(X0) <=> ~generous(X0)) [input p0]
2. ! [X0] : ((~curious(X0) | kind(X0)) <=> (generous(X0) & brave(X0))) [input p1]
6. ! [X0] : ((calm(X0) | ~happy(X0)) <=> (~brave(X0) & funny(X0))) [inp... | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Fred is calm. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | calm(fred) | [] | null | 0 |
If mary is not curious then john is not old and vice versa.
Everyone who is either not strong or funny is not calm and vice versa.
If john is humble then john is not quiet.
Everyone who is either old or not generous is strong and vice versa.
If lucy is either rich or not curious then alice is either not rich or not cre... | Paul is funny. | entailment | ((~curious(mary))<=>(~old(john)))&
(![X]:((~strong(X)<~>funny(X))<=>~calm(X)))&
((humble(john))=>(~quiet(john)))&
(![X]:((old(X)<~>~generous(X))<=>strong(X)))&
(((rich(lucy)<~>~curious(lucy)))=>((~rich(alice)<~>~creative(alice))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(patient(paul)))&
(![X]:((strong(X)&happy(X))=>~happ... | funny(paul) | [
"p1",
"p5",
"p6",
"p8",
"p10",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9214541762695009988185151
% SZS output start Proof for 9214541762695009988185151
2. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> ~calm(X0)) [input p1]
6. ? [X0] : (~happy(X0) <~> ~humble(X0)) => patient(paul) [input p5]
7. ! [X0] : ((happy(X0) & strong(X0)) => ~happy(X0)) [input p6]
9. ! [X0... | 0 |
Everyone who is not calm or quiet is not generous or generous and vice versa.
Everyone who is either funny or calm is either generous or quiet and vice versa.
If someone is either not tall or funny then john is either not quiet or not funny and vice versa.
Everyone who is both patient and tall is not tall and vice vers... | Lucy is not quiet. | contradiction | (![X]:((~calm(X)|quiet(X))<=>(~generous(X)|generous(X))))&
(![X]:((funny(X)<~>calm(X))<=>(generous(X)<~>quiet(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=>((~quiet(john)<~>~funny(john))))&
(![X]:((patient(X)&tall(X))<=>~tall(X)))&
(![X]:(~creative(X)<=>brave(X)))&
((wise(mary))<=>(?[X]:((~old(X)<~>generous(X)))))&
((~old(p... | ~quiet(lucy) | [
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1301140874174555534669261
% SZS output start Proof for 1301140874174555534669261
4. ! [X0] : ((tall(X0) & patient(X0)) <=> ~tall(X0)) [input p3]
8. ! [X0] : ((creative(X0) | curious(X0)) => (creative(X0) & quiet(X0))) [input p7]
14. ! [X0] : (~creative(X0) => (~quiet(X0) <~> tall(X0))) [i... | 0 |
If someone is kind then john is patient or not creative and vice versa. If someone is either happy or not humble then mary is either strong or patient and vice versa. Everyone who is both not brave and not old is creative. If someone is not humble or funny then someone is both tall and not wise and vice versa. If someo... | Paul is funny. | contradiction | ((?[X]:(kind(X)))<=>((patient(john)|~creative(john))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((strong(mary)<~>patient(mary))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X)&~wise(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((quiet(X)|hum... | funny(paul) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1884610835603284112953336
% SZS output start Proof for 1884610835603284112953336
4. ? [X0] : (funny(X0) | ~humble(X0)) <=> ? [X0] : (~wise(X0) & tall(X0)) [input p3]
8. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~quiet(X0)) [input p7]
10. ! [X0] : ((tall(X0) | ~kind(X0)) => (~quiet(X0) & kind... | 0 |
If susan is either not old or humble then susan is either quiet or not tall.
Everyone who is both brave and quiet is either not creative or strong.
If someone is both kind and wise then alice is not brave or curious and vice versa.
Everyone who is not strong is both not wise and tall.
If someone is either kind or quiet... | Mary is not patient. | entailment | (((~old(susan)<~>humble(susan)))=>((quiet(susan)<~>~tall(susan))))&
(![X]:((brave(X)&quiet(X))=>(~creative(X)<~>strong(X))))&
((?[X]:((kind(X)&wise(X))))<=>((~brave(alice)|curious(alice))))&
(![X]:(~strong(X)=>(~wise(X)&tall(X))))&
((?[X]:((kind(X)<~>quiet(X))))=>(~calm(mary)))&
(![X]:((~quiet(X)<~>~funny(X))<=>(~funny... | ~patient(mary) | [
"p6",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2348102837412730650920753
% SZS output start Proof for 2348102837412730650920753
7. ? [X0] : (patient(X0) | ~quiet(X0)) <=> ~kind(paul) [input p6]
9. ~patient(alice) <=> (~funny(paul) & kind(paul)) [input p8]
11. ! [X0] : (patient(X0) => (wise(X0) & ~happy(X0))) [input p10]
13. ! [X0] : (... | 0 |
Everyone who is brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both kind and strong and vice versa.
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then john is either not brave or funny and vice versa.
If susan is either not gener... | Alice is not quiet. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&strong(X))))&
(![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((~brave(john)<~>funny(john))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~hap... | ~quiet(alice) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8110791923236447625924566
% SZS output start Proof for 8110791923236447625924566
13. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input p12]
22. ~creative(alice) [input p21]
23. ~quiet(alice) [input hypothesis]
61. ! [X0] : ((~quiet(X0) | (~funny(X0) | ~creative(X0))) & ((funny(X... | 0 |
Everyone who is both strong and generous is either patient or generous and vice versa.
Everyone who is not brave or old is either not rich or old.
If someone is both strong and brave then someone is not rich.
If someone is both not creative and not calm then someone is either happy or not tall and vice versa.
If someon... | Susan is rich. | neutral | (![X]:((strong(X)&generous(X))<=>(patient(X)<~>generous(X))))&
(![X]:((~brave(X)|old(X))=>(~rich(X)<~>old(X))))&
((?[X]:((strong(X)&brave(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:(~generous(X)))<=>((~old(susan)&brave(susan))))&
(![X]:((old(X)|~rich(X))<=>(br... | rich(susan) | [] | null | 0 |
If alice is either rich or not calm then someone is both quiet and not patient and vice versa. Everyone who is either happy or not strong is both not brave and not happy. If someone is rich then susan is happy and vice versa. If someone is patient or not curious then someone is creative and vice versa. Everyone who is ... | Susan is not quiet. | contradiction | (((rich(alice)<~>~calm(alice)))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((happy(X)<~>~strong(X))=>(~brave(X)&~happy(X))))&
((?[X]:(rich(X)))<=>(happy(susan)))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|~humble(X))=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~kind(X)&f... | ~quiet(susan) | [
"p2",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8050351277952600491347071
% SZS output start Proof for 8050351277952600491347071
3. ? [X0] : rich(X0) <=> happy(susan) [input p2]
8. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (~generous(X0) <~> generous(X0))) [input p7]
9. (patient(paul) & kind(paul)) <=> ? [X0] : (happy(X0) & ~calm(X0)) ... | 0 |
Everyone who is calm or not quiet is either not tall or creative.
If alice is both not generous and not funny then lucy is tall and vice versa.
If someone is not quiet or old then someone is old.
If susan is either not humble or calm then someone is both not funny and happy and vice versa.
If someone is either not curi... | Fred is brave. | entailment | (![X]:((calm(X)|~quiet(X))=>(~tall(X)<~>creative(X))))&
(((~generous(alice)&~funny(alice)))<=>(tall(lucy)))&
((?[X]:((~quiet(X)|old(X))))=>(?[X]:(old(X))))&
(((~humble(susan)<~>calm(susan)))<=>(?[X]:((~funny(X)&happy(X)))))&
((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:(~calm(X))))&
(((old(john)&~old(john)))<=>(?[X]:((~t... | brave(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7713506796044530111628873
% SZS output start Proof for 7713506796044530111628873
15. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> brave(X0)) [input p14]
25. ~brave(fred) [input hypothesis]
73. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) | ~brave(X0)) & (brave(X0) | ((~calm(X0) ... | 0 |
If someone is both humble and brave then john is not generous or generous.
Everyone who is both generous and creative is kind or tall and vice versa.
Everyone who is not funny or wise is either rich or creative.
If someone is humble then mary is both not strong and old and vice versa.
If someone is calm then paul is ei... | Fred is strong. | contradiction | ((?[X]:((humble(X)&brave(X))))=>((~generous(john)|generous(john))))&
(![X]:((generous(X)&creative(X))<=>(kind(X)|tall(X))))&
(![X]:((~funny(X)|wise(X))=>(rich(X)<~>creative(X))))&
((?[X]:(humble(X)))<=>((~strong(mary)&old(mary))))&
((?[X]:(calm(X)))=>((strong(paul)<~>old(paul))))&
(![X]:(~kind(X)<=>(~patient(X)&~old(X)... | strong(fred) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3689506270663036818884148
% SZS output start Proof for 3689506270663036818884148
7. ! [X0] : (~rich(X0) <=> (rich(X0) & ~creative(X0))) [input p6]
9. ! [X0] : (~strong(X0) <=> (~brave(X0) | creative(X0))) [input p8]
22. strong(fred) [input hypothesis]
49. ! [X0] : ((~rich(X0) | (~rich(X0)... | 0 |
If john is both not calm and curious then someone is either kind or patient.
Everyone who is not quiet is either not happy or curious and vice versa.
Everyone who is not kind or not strong is not kind or strong.
Everyone who is either not curious or funny is either not kind or not patient.
Everyone who is not patient o... | Mary is not old. | contradiction | (((~calm(john)&curious(john)))=>(?[X]:((kind(X)<~>patient(X)))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>curious(X))))&
(![X]:((~kind(X)|~strong(X))=>(~kind(X)|strong(X))))&
(![X]:((~curious(X)<~>funny(X))=>(~kind(X)<~>~patient(X))))&
(![X]:((~patient(X)|~strong(X))=>(~strong(X)&~curious(X))))&
(![X]:(~curious(X)=>(~creative(... | ~old(mary) | [
"p15",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 943233672332004514513211
% SZS output start Proof for 943233672332004514513211
16. ! [X0] : ((calm(X0) | rich(X0)) <=> ~old(X0)) [input p15]
19. ~humble(mary) & ~calm(mary) [input p18]
24. wise(mary) & ~rich(mary) [input p23]
25. ~old(mary) [input hypothesis]
64. ! [X0] : (((calm(X0) | ri... | 0 |
Everyone who is not rich or not creative is either quiet or rich and vice versa.
If alice is both not old and brave then someone is wise or not old and vice versa.
Everyone who is either not curious or curious is not strong and vice versa.
If mary is not tall or not creative then paul is wise or not funny and vice vers... | Alice is funny. | neutral | (![X]:((~rich(X)|~creative(X))<=>(quiet(X)<~>rich(X))))&
(((~old(alice)&brave(alice)))<=>(?[X]:((wise(X)|~old(X)))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~pa... | funny(alice) | [] | null | 0 |
Everyone who is both happy and not old is either tall or not curious and vice versa.
Everyone who is humble or calm is strong.
Everyone who is either not strong or not curious is both not quiet and generous.
Everyone who is either not funny or patient is both not patient and not quiet.
If fred is not patient or not qui... | Paul is not strong. | entailment | (![X]:((happy(X)&~old(X))<=>(tall(X)<~>~curious(X))))&
(![X]:((humble(X)|calm(X))=>strong(X)))&
(![X]:((~strong(X)<~>~curious(X))=>(~quiet(X)&generous(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~patient(X)&~quiet(X))))&
(((~patient(fred)|~quiet(fred)))<=>(?[X]:((generous(X)<~>~quiet(X)))))&
(![X]:(funny(X)<=>(~tall(X)|~c... | ~strong(paul) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p7",
"p11",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7361155950562372994415963
% SZS output start Proof for 7361155950562372994415963
1. ! [X0] : ((~old(X0) & happy(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((~strong(X0) <~> ~curious(X0)) => (generous(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> patient(X0))... | 0 |
Everyone who is both not creative and curious is not humble. Everyone who is either not creative or generous is either not patient or old. Everyone who is either not generous or quiet is not patient and vice versa. Everyone who is both not tall and not happy is either quiet or humble and vice versa. Everyone who is cur... | Fred is old. | contradiction | (![X]:((~creative(X)&curious(X))=>~humble(X)))&
(![X]:((~creative(X)<~>generous(X))=>(~patient(X)<~>old(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>~patient(X)))&
(![X]:((~tall(X)&~happy(X))<=>(quiet(X)<~>humble(X))))&
(![X]:(curious(X)<=>(old(X)<~>~patient(X))))&
(![X]:(funny(X)<=>(~funny(X)|~creative(X))))&
(((~curious... | old(fred) | [
"p1",
"p2",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3743876895992985197107901
% SZS output start Proof for 3743876895992985197107901
2. ! [X0] : ((~creative(X0) <~> generous(X0)) => (~patient(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> quiet(X0)) <=> ~patient(X0)) [input p2]
6. ! [X0] : (funny(X0) <=> (~creative(X0) | ~fun... | 0 |
If lucy is not quiet then someone is both creative and funny.
Everyone who is either rich or creative is not calm and vice versa.
If someone is patient or not quiet then someone is either calm or patient.
If paul is patient or not funny then john is either tall or not brave and vice versa.
If someone is both not wise a... | Lucy is not calm. | entailment | ((~quiet(lucy))=>(?[X]:((creative(X)&funny(X)))))&
(![X]:((rich(X)<~>creative(X))<=>~calm(X)))&
((?[X]:((patient(X)|~quiet(X))))=>(?[X]:((calm(X)<~>patient(X)))))&
(((patient(paul)|~funny(paul)))<=>((tall(john)<~>~brave(john))))&
((?[X]:((~wise(X)&generous(X))))<=>(?[X]:((happy(X)<~>wise(X)))))&
((?[X]:((old(X)<~>~happ... | ~calm(lucy) | [
"p1",
"p7",
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7307766353682711056166224
% SZS output start Proof for 7307766353682711056166224
2. ! [X0] : ((rich(X0) <~> creative(X0)) <=> ~calm(X0)) [input p1]
8. ? [X0] : (tall(X0) | ~strong(X0)) <=> (~rich(lucy) <~> kind(lucy)) [input p7]
14. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (~calm(X0) & ~gen... | 0 |
If someone is either humble or not strong then someone is either strong or old and vice versa.
Everyone who is both not tall and kind is not generous or old and vice versa.
Everyone who is either quiet or not tall is either wise or not quiet and vice versa.
If someone is humble then someone is either not quiet or not b... | Mary is not tall. | entailment | ((?[X]:((humble(X)<~>~strong(X))))<=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((~tall(X)&kind(X))<=>(~generous(X)|old(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:(humble(X)))=>(?[X]:((~quiet(X)<~>~brave(X)))))&
((?[X]:((~rich(X)<~>strong(X))))<=>((~tall(alice)<~>creative(alice))))&
((?[X]:((happy... | ~tall(mary) | [
"p1",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1276542656680409884375547
% SZS output start Proof for 1276542656680409884375547
2. ! [X0] : ((kind(X0) & ~tall(X0)) <=> (old(X0) | ~generous(X0))) [input p1]
16. ! [X0] : ((~old(X0) | generous(X0)) => (tall(X0) & curious(X0))) [input p15]
21. ~curious(mary) & ~brave(mary) [input p20]
24.... | 0 |
Everyone who is not old or old is happy or rich. Everyone who is both not curious and calm is old or not old and vice versa. If john is strong then lucy is tall or not kind. If john is either tall or not rich then someone is not quiet and vice versa. If fred is both not patient and wise then susan is not generous and v... | Fred is patient. | entailment | (![X]:((~old(X)|old(X))=>(happy(X)|rich(X))))&
(![X]:((~curious(X)&calm(X))<=>(old(X)|~old(X))))&
((strong(john))=>((tall(lucy)|~kind(lucy))))&
(((tall(john)<~>~rich(john)))<=>(?[X]:(~quiet(X))))&
(((~patient(fred)&wise(fred)))<=>(~generous(susan)))&
((?[X]:(~creative(X)))=>(?[X]:(old(X))))&
(![X]:(tall(X)=>(~kind(X)&~... | patient(fred) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6713692878712353536538912
% SZS output start Proof for 6713692878712353536538912
2. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (~old(X0) | old(X0))) [input p1]
5. (wise(fred) & ~patient(fred)) <=> ~generous(susan) [input p4]
9. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> (generous(X0) | curiou... | 0 |
Everyone who is not wise is both brave and creative and vice versa.
Everyone who is both not quiet and patient is either humble or not creative.
Everyone who is either not curious or patient is either wise or not funny and vice versa.
Everyone who is not rich is both funny and kind.
If lucy is both rich and not rich th... | Mary is not rich. | contradiction | (![X]:(~wise(X)<=>(brave(X)&creative(X))))&
(![X]:((~quiet(X)&patient(X))=>(humble(X)<~>~creative(X))))&
(![X]:((~curious(X)<~>patient(X))<=>(wise(X)<~>~funny(X))))&
(![X]:(~rich(X)=>(funny(X)&kind(X))))&
(((rich(lucy)&~rich(lucy)))<=>((~rich(susan)&~kind(susan))))&
(![X]:((quiet(X)&~strong(X))<=>(tall(X)&~brave(X))))&... | ~rich(mary) | [
"p3",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4514931559323045791483037
% SZS output start Proof for 4514931559323045791483037
4. ! [X0] : (~rich(X0) => (kind(X0) & funny(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | calm(X0)) <=> ~funny(X0)) [input p7]
20. quiet(mary) & calm(mary) [input p19]
25. ~rich(mary) [input hypothesis]
28. ! [X... | 0 |
Everyone who is funny or not quiet is not kind or wise and vice versa.
If lucy is kind then someone is rich or quiet.
Everyone who is not wise is not humble or not kind.
If someone is brave or wise then lucy is both not wise and creative and vice versa.
Everyone who is old or wise is not old or rich and vice versa.
If ... | John is not brave. | entailment | (![X]:((funny(X)|~quiet(X))<=>(~kind(X)|wise(X))))&
((kind(lucy))=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:(~wise(X)=>(~humble(X)|~kind(X))))&
((?[X]:((brave(X)|wise(X))))<=>((~wise(lucy)&creative(lucy))))&
(![X]:((old(X)|wise(X))<=>(~old(X)|rich(X))))&
(((humble(mary)|~curious(mary)))<=>(brave(susan)))&
(![X]:(strong(X)=>... | ~brave(john) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3631857729164925646487342
% SZS output start Proof for 3631857729164925646487342
4. ? [X0] : (wise(X0) | brave(X0)) <=> (creative(lucy) & ~wise(lucy)) [input p3]
18. ~creative(lucy) [input p17]
25. brave(john) [input hypothesis]
41. (? [X0] : (wise(X0) | brave(X0)) | (~creative(lucy) | wi... | 0 |
Everyone who is either calm or not happy is both not generous and humble and vice versa.
If someone is not creative then mary is either old or tall.
Everyone who is both curious and not creative is either not brave or not quiet.
Everyone who is either not old or not kind is both not rich and brave and vice versa.
If so... | Susan is not quiet. | contradiction | (![X]:((calm(X)<~>~happy(X))<=>(~generous(X)&humble(X))))&
((?[X]:(~creative(X)))=>((old(mary)<~>tall(mary))))&
(![X]:((curious(X)&~creative(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:((~old(X)<~>~kind(X))<=>(~rich(X)&brave(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~quiet(X)<~>kind(X))=>(~... | ~quiet(susan) | [
"p5",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8967288435000063502562552
% SZS output start Proof for 8967288435000063502562552
6. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (~strong(X0) <~> brave(X0))) [input p5]
9. ? [X0] : (creative(X0) | ~tall(X0)) <=> (strong(paul) & ~brave(paul)) [input p8]
11. ! [X0] : ((~tall(X0) | ~curious(X0)) =... | 0 |
Everyone who is both brave and not generous is both not tall and not creative.
If fred is happy then fred is not old.
If lucy is either curious or not calm then someone is funny or not calm.
If someone is both not calm and not creative then lucy is not happy or humble.
Everyone who is not brave or strong is both not ca... | Paul is not quiet. | contradiction | (![X]:((brave(X)&~generous(X))=>(~tall(X)&~creative(X))))&
((happy(fred))=>(~old(fred)))&
(((curious(lucy)<~>~calm(lucy)))=>(?[X]:((funny(X)|~calm(X)))))&
((?[X]:((~calm(X)&~creative(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:((~brave(X)|strong(X))<=>(~calm(X)&~old(X))))&
(![X]:(old(X)<=>(~old(X)&~quiet(X))))&
((?[X]... | ~quiet(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8550890091849989584639128
% SZS output start Proof for 8550890091849989584639128
6. ! [X0] : (old(X0) <=> (~quiet(X0) & ~old(X0))) [input p5]
23. ~quiet(paul) [input hypothesis]
45. ! [X0] : ((old(X0) | (quiet(X0) | old(X0))) & ((~quiet(X0) & ~old(X0)) | ~old(X0))) [nnf transformation 6]
... | 0 |
Everyone who is both not brave and not happy is both wise and not old.
If someone is either brave or not funny then someone is either not kind or happy.
If fred is generous or not calm then someone is not old.
Everyone who is both not quiet and not curious is either not wise or quiet and vice versa.
If paul is not pati... | Mary is not happy. | neutral | (![X]:((~brave(X)&~happy(X))=>(wise(X)&~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(?[X]:((~kind(X)<~>happy(X)))))&
(((generous(fred)|~calm(fred)))=>(?[X]:(~old(X))))&
(![X]:((~quiet(X)&~curious(X))<=>(~wise(X)<~>quiet(X))))&
((~patient(paul))=>((~funny(fred)&~rich(fred))))&
(((calm(paul)<~>~strong(paul)))=>(?[X]:((f... | ~happy(mary) | [] | null | 0 |
If someone is rich then paul is tall and vice versa. If mary is either not happy or humble then someone is either not strong or calm. If alice is not happy then someone is either brave or calm. Everyone who is either not tall or not creative is creative. If mary is either strong or not quiet then lucy is either wise or... | Paul is creative. | entailment | ((?[X]:(rich(X)))<=>(tall(paul)))&
(((~happy(mary)<~>humble(mary)))=>(?[X]:((~strong(X)<~>calm(X)))))&
((~happy(alice))=>(?[X]:((brave(X)<~>calm(X)))))&
(![X]:((~tall(X)<~>~creative(X))=>creative(X)))&
(((strong(mary)<~>~quiet(mary)))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~wise(X)|~strong(X)... | creative(paul) | [
"p0",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4346330653395604220562058
% SZS output start Proof for 4346330653395604220562058
1. ? [X0] : rich(X0) <=> tall(paul) [input p0]
4. ! [X0] : ((~tall(X0) <~> ~creative(X0)) => creative(X0)) [input p3]
8. ! [X0] : ((brave(X0) | ~rich(X0)) => (~calm(X0) & calm(X0))) [input p7]
21. ~creative(p... | 0 |
If alice is both tall and not quiet then someone is tall.
Everyone who is both not patient and not quiet is not calm or not funny and vice versa.
Everyone who is either not wise or patient is both tall and brave.
If someone is quiet or not patient then alice is either not kind or creative and vice versa.
If someone is ... | John is not curious. | neutral | (((tall(alice)&~quiet(alice)))=>(?[X]:(tall(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~calm(X)|~funny(X))))&
(![X]:((~wise(X)<~>patient(X))=>(tall(X)&brave(X))))&
((?[X]:((quiet(X)|~patient(X))))<=>((~kind(alice)<~>creative(alice))))&
((?[X]:(~tall(X)))<=>(?[X]:(~old(X))))&
(![X]:((rich(X)|~funny(X))=>funny(X)))&
(![X]:... | ~curious(john) | [] | null | 0 |
If paul is brave then someone is either humble or not tall and vice versa.
If alice is rich or wise then john is funny.
Everyone who is either not tall or quiet is creative and vice versa.
If someone is not creative then paul is not tall.
Everyone who is not wise or strong is either not generous or patient and vice ver... | Alice is not generous. | neutral | ((brave(paul))<=>(?[X]:((humble(X)<~>~tall(X)))))&
(((rich(alice)|wise(alice)))=>(funny(john)))&
(![X]:((~tall(X)<~>quiet(X))<=>creative(X)))&
((?[X]:(~creative(X)))=>(~tall(paul)))&
(![X]:((~wise(X)|strong(X))<=>(~generous(X)<~>patient(X))))&
(![X]:(~old(X)<=>(curious(X)|~humble(X))))&
(((quiet(mary)<~>old(mary)))=>(?... | ~generous(alice) | [] | null | 0 |
Everyone who is not creative or not generous is either not brave or not curious and vice versa. Everyone who is both not funny and quiet is not strong or funny and vice versa. Everyone who is not brave or humble is happy or brave. If someone is either not humble or quiet then someone is humble or happy and vice versa. ... | Alice is not creative. | contradiction | (![X]:((~creative(X)|~generous(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~strong(X)|funny(X))))&
(![X]:((~brave(X)|humble(X))=>(happy(X)|brave(X))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:((quiet(X)&~curious(X))<=>(~rich(X)&~kind(X))))&
(![X]:((~wise(X)|funny(... | ~creative(alice) | [
"p1",
"p5",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5931582302785604718892690
% SZS output start Proof for 5931582302785604718892690
2. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (funny(X0) | ~strong(X0))) [input p1]
6. ! [X0] : ((funny(X0) | ~wise(X0)) <=> (~brave(X0) <~> wise(X0))) [input p5]
9. ! [X0] : ((~old(X0) & strong(X0)) <=> (funny(X... | 0 |
If lucy is both not kind and funny then someone is not happy. Everyone who is both not wise and not old is strong. Everyone who is brave or strong is both not brave and calm and vice versa. Everyone who is wise is not funny or quiet and vice versa. Everyone who is humble or not wise is wise. Everyone who is either not ... | John is not tall. | contradiction | (((~kind(lucy)&funny(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&~old(X))=>strong(X)))&
(![X]:((brave(X)|strong(X))<=>(~brave(X)&calm(X))))&
(![X]:(wise(X)<=>(~funny(X)|quiet(X))))&
(![X]:((humble(X)|~wise(X))=>wise(X)))&
(![X]:((~old(X)<~>~calm(X))=>~curious(X)))&
(((patient(john)<~>~tall(john)))<=>((generous(alice... | ~tall(john) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 388708442259912015423610
% SZS output start Proof for 388708442259912015423610
16. ! [X0] : (tall(X0) <=> (~funny(X0) | ~old(X0))) [input p15]
19. ~funny(john) & strong(john) [input p18]
25. ~tall(john) [input hypothesis]
63. ! [X0] : ((tall(X0) | (funny(X0) & old(X0))) & ((~funny(X0) | ~... | 0 |
If fred is not brave or not curious then paul is either calm or wise.
Everyone who is both not tall and old is both humble and not curious.
Everyone who is either not kind or not curious is happy or old and vice versa.
Everyone who is either kind or not old is kind or not kind.
Everyone who is both rich and curious is ... | Alice is not wise. | contradiction | (((~brave(fred)|~curious(fred)))=>((calm(paul)<~>wise(paul))))&
(![X]:((~tall(X)&old(X))=>(humble(X)&~curious(X))))&
(![X]:((~kind(X)<~>~curious(X))<=>(happy(X)|old(X))))&
(![X]:((kind(X)<~>~old(X))=>(kind(X)|~kind(X))))&
(![X]:((rich(X)&curious(X))<=>(quiet(X)<~>~tall(X))))&
(![X]:((strong(X)<~>~patient(X))<=>(curious... | ~wise(alice) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8353054529156406839686640
% SZS output start Proof for 8353054529156406839686640
7. ! [X0] : (~patient(X0) <=> (~wise(X0) | ~brave(X0))) [input p6]
24. kind(alice) & patient(alice) [input p23]
25. ~wise(alice) [input hypothesis]
47. ! [X0] : ((~patient(X0) | (wise(X0) & brave(X0))) & ((~w... | 0 |
If someone is not funny or happy then mary is either not brave or old. If someone is not rich or not tall then mary is not old. If someone is both generous and not old then lucy is either not curious or not generous. Everyone who is either tall or kind is either kind or not kind and vice versa. Everyone who is either p... | Lucy is patient. | entailment | ((?[X]:((~funny(X)|happy(X))))=>((~brave(mary)<~>old(mary))))&
((?[X]:((~rich(X)|~tall(X))))=>(~old(mary)))&
((?[X]:((generous(X)&~old(X))))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>~strong(X... | patient(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p10",
"p12",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 616139913816391678504664
% SZS output start Proof for 616139913816391678504664
1. ? [X0] : (happy(X0) | ~funny(X0)) => (~brave(mary) <~> old(mary)) [input p0]
2. ? [X0] : (~tall(X0) | ~rich(X0)) => ~old(mary) [input p1]
4. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) [i... | 0 |
Everyone who is wise is either happy or not patient. Everyone who is not old is either patient or not kind and vice versa. If paul is not funny or strong then someone is rich or not strong. Everyone who is patient is not rich and vice versa. If someone is both not old and not rich then someone is both not old and not s... | John is rich. | contradiction | (![X]:(wise(X)=>(happy(X)<~>~patient(X))))&
(![X]:(~old(X)<=>(patient(X)<~>~kind(X))))&
(((~funny(paul)|strong(paul)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(patient(X)<=>~rich(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:((~old(X)&~strong(X)))))&
((strong(lucy))=>((tall(lucy)<~>calm(lucy))))&
(((~patient(john)<~>~curio... | rich(john) | [
"p3",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4104263718454019840448603
% SZS output start Proof for 4104263718454019840448603
4. ! [X0] : (patient(X0) <=> ~rich(X0)) [input p3]
13. ? [X0] : (~creative(X0) | ~rich(X0)) => patient(john) [input p12]
21. ? [X0] : ~rich(X0) [input p20]
25. rich(john) [input hypothesis]
34. patient(john) ... | 0 |
If mary is either not quiet or not creative then someone is funny or wise and vice versa. Everyone who is both not kind and strong is not happy and vice versa. If someone is both not wise and rich then lucy is patient or brave and vice versa. Everyone who is both rich and not quiet is either not wise or not generous an... | Mary is not generous. | entailment | (((~quiet(mary)<~>~creative(mary)))<=>(?[X]:((funny(X)|wise(X)))))&
(![X]:((~kind(X)&strong(X))<=>~happy(X)))&
((?[X]:((~wise(X)&rich(X))))<=>((patient(lucy)|brave(lucy))))&
(![X]:((rich(X)&~quiet(X))<=>(~wise(X)<~>~generous(X))))&
((?[X]:(brave(X)))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(![X]:((calm(X)<~>quiet(X))<=>~w... | ~generous(mary) | [
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6942805235164784715930249
% SZS output start Proof for 6942805235164784715930249
4. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (~wise(X0) <~> ~generous(X0))) [input p3]
6. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> ~wise(X0)) [input p5]
7. (~funny(alice) & funny(alice)) <=> ? [X0] : (~rich(X0) <~>... | 0 |
Everyone who is both not funny and creative is either strong or not wise and vice versa. If someone is either not strong or calm then fred is not brave and vice versa. Everyone who is rich or not calm is either not humble or humble and vice versa. Everyone who is not rich or not happy is brave. Everyone who is both cur... | Fred is not calm. | contradiction | (![X]:((~funny(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((?[X]:((~strong(X)<~>calm(X))))<=>(~brave(fred)))&
(![X]:((rich(X)|~calm(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((~rich(X)|~happy(X))=>brave(X)))&
(![X]:((curious(X)&brave(X))=>(calm(X)|~happy(X))))&
(((~patient(fred)<~>~kind(fred)))<=>(?[X]:(tall(X))))&
(![X... | ~calm(fred) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2082982996327331062270952
% SZS output start Proof for 2082982996327331062270952
7. ! [X0] : (calm(X0) <=> rich(X0)) [input p6]
9. ! [X0] : ((~calm(X0) | creative(X0)) <=> (rich(X0) | old(X0))) [input p8]
13. ! [X0] : ((~patient(X0) <~> ~old(X0)) <=> patient(X0)) [input p12]
24. ~calm(fre... | 0 |
If paul is not brave or not rich then lucy is not happy or not tall and vice versa.
If someone is both calm and humble then someone is both not generous and not happy.
Everyone who is kind is curious and vice versa.
Everyone who is patient is either not patient or not strong.
Everyone who is either not old or old is ei... | Paul is brave. | neutral | (((~brave(paul)|~rich(paul)))<=>((~happy(lucy)|~tall(lucy))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((~generous(X)&~happy(X)))))&
(![X]:(kind(X)<=>curious(X)))&
(![X]:(patient(X)=>(~patient(X)<~>~strong(X))))&
(![X]:((~old(X)<~>old(X))<=>(tall(X)<~>~tall(X))))&
((~curious(john))<=>(?[X]:(old(X))))&
(![X]:((patient(X)<~... | brave(paul) | [] | null | 0 |
Everyone who is calm or funny is either calm or not old and vice versa.
Everyone who is generous is not happy or quiet and vice versa.
Everyone who is not old or strong is not humble.
If mary is either humble or patient then mary is not strong or generous.
If someone is kind then john is humble or strong.
If fred is ei... | Susan is brave. | entailment | (![X]:((calm(X)|funny(X))<=>(calm(X)<~>~old(X))))&
(![X]:(generous(X)<=>(~happy(X)|quiet(X))))&
(![X]:((~old(X)|strong(X))=>~humble(X)))&
(((humble(mary)<~>patient(mary)))=>((~strong(mary)|generous(mary))))&
((?[X]:(kind(X)))=>((humble(john)|strong(john))))&
(((kind(fred)<~>~creative(fred)))=>(?[X]:((~old(X)&~kind(X)))... | brave(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6507836774959927420445864
% SZS output start Proof for 6507836774959927420445864
17. brave(susan) [input p16]
25. ~brave(susan) [input hypothesis]
122. brave(susan) [cnf transformation 17]
131. ~brave(susan) [cnf transformation 25]
257. 28 <=> brave(susan) [avatar definition]
281. 28 [ava... | 0 |
If paul is not funny then mary is both not patient and not calm. Everyone who is either kind or not generous is both funny and calm and vice versa. Everyone who is either not strong or not brave is not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not b... | Paul is not rich. | entailment | ((~funny(paul))=>((~patient(mary)&~calm(mary))))&
(![X]:((kind(X)<~>~generous(X))<=>(funny(X)&calm(X))))&
(![X]:((~strong(X)<~>~brave(X))=>~kind(X)))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient... | ~rich(paul) | [
"p4",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 929074035179923747675135
% SZS output start Proof for 929074035179923747675135
5. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p4]
11. (~brave(paul) & ~generous(paul)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p10]
12. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~old(X0) | ~calm(X0))) ... | 0 |
Everyone who is both patient and humble is calm or tall. Everyone who is brave or not patient is kind or humble and vice versa. Everyone who is happy is not brave or not calm and vice versa. If someone is both not curious and not happy then alice is either kind or tall and vice versa. If paul is not old or tall then fr... | Alice is not strong. | neutral | (![X]:((patient(X)&humble(X))=>(calm(X)|tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(kind(X)|humble(X))))&
(![X]:(happy(X)<=>(~brave(X)|~calm(X))))&
((?[X]:((~curious(X)&~happy(X))))<=>((kind(alice)<~>tall(alice))))&
(((~old(paul)|tall(paul)))<=>((patient(fred)<~>~kind(fred))))&
((quiet(fred))=>(?[X]:((brave(X)<~>humbl... | ~strong(alice) | [] | null | 0 |
Everyone who is quiet is curious.
If lucy is wise or not patient then john is not generous.
If someone is not humble then someone is funny or not curious and vice versa.
Everyone who is not patient or not quiet is not patient and vice versa.
If john is rich or not generous then someone is either not strong or creative ... | Lucy is kind. | entailment | (![X]:(quiet(X)=>curious(X)))&
(((wise(lucy)|~patient(lucy)))=>(~generous(john)))&
((?[X]:(~humble(X)))<=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>~patient(X)))&
(((rich(john)|~generous(john)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((humble(X)|old(X))=>(generous(X)<~>~old(X))))&
(![X]:... | kind(lucy) | [
"p3",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1497551124096814438845916
% SZS output start Proof for 1497551124096814438845916
4. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : ((funny(X0) | ~wise(X0)) <=> ~quiet(X0)) [input p8]
11. ! [X0] : ((~kind(X0) | ~funny(X0)) => ~wise(X0)) [input p10]
12. (old(... | 0 |
Everyone who is old is not tall or brave. If mary is either not funny or wise then lucy is either not kind or not curious. Everyone who is wise is either tall or not tall and vice versa. Everyone who is either not old or not rich is both not curious and calm and vice versa. Everyone who is either not strong or curious ... | Mary is not old. | neutral | (![X]:(old(X)=>(~tall(X)|brave(X))))&
(((~funny(mary)<~>wise(mary)))=>((~kind(lucy)<~>~curious(lucy))))&
(![X]:(wise(X)<=>(tall(X)<~>~tall(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(~curious(X)&calm(X))))&
(![X]:((~strong(X)<~>curious(X))<=>(calm(X)<~>happy(X))))&
(![X]:(calm(X)=>~tall(X)))&
(![X]:((~calm(X)<~>curious(X))=>... | ~old(mary) | [] | null | 0 |
If alice is either not calm or not kind then someone is either quiet or patient and vice versa.
If someone is not tall then alice is both brave and not humble.
Everyone who is not strong is kind.
Everyone who is funny or generous is both brave and generous and vice versa.
Everyone who is brave is not happy.
Everyone wh... | Paul is funny. | contradiction | (((~calm(alice)<~>~kind(alice)))<=>(?[X]:((quiet(X)<~>patient(X)))))&
((?[X]:(~tall(X)))=>((brave(alice)&~humble(alice))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((funny(X)|generous(X))<=>(brave(X)&generous(X))))&
(![X]:(brave(X)=>~happy(X)))&
(![X]:(tall(X)=>brave(X)))&
((?[X]:(generous(X)))=>(old(john)))&
(((humble(ali... | funny(paul) | [
"p2",
"p3",
"p4",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7838426673930223463820088
% SZS output start Proof for 7838426673930223463820088
3. ! [X0] : (~strong(X0) => kind(X0)) [input p2]
4. ! [X0] : ((generous(X0) | funny(X0)) <=> (generous(X0) & brave(X0))) [input p3]
5. ! [X0] : (brave(X0) => ~happy(X0)) [input p4]
7. ? [X0] : generous(X0) =>... | 0 |
Everyone who is not humble is not humble or strong.
Everyone who is patient or not calm is both not wise and generous and vice versa.
If someone is both kind and not humble then someone is either brave or not funny.
If john is not happy then alice is both not creative and not generous.
If paul is both quiet and not wis... | John is not brave. | entailment | (![X]:(~humble(X)=>(~humble(X)|strong(X))))&
(![X]:((patient(X)|~calm(X))<=>(~wise(X)&generous(X))))&
((?[X]:((kind(X)&~humble(X))))=>(?[X]:((brave(X)<~>~funny(X)))))&
((~happy(john))=>((~creative(alice)&~generous(alice))))&
(((quiet(paul)&~wise(paul)))<=>(?[X]:((calm(X)&~creative(X)))))&
(![X]:((~funny(X)|~old(X))=>cr... | ~brave(john) | [
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6109162334763284632510596
% SZS output start Proof for 6109162334763284632510596
2. ! [X0] : ((~calm(X0) | patient(X0)) <=> (generous(X0) & ~wise(X0))) [input p1]
8. ? [X0] : generous(X0) <=> ? [X0] : (~brave(X0) & brave(X0)) [input p7]
11. ! [X0] : (brave(X0) <=> (~kind(X0) & ~calm(X0)))... | 0 |
Everyone who is both not calm and brave is not calm or not tall and vice versa. Everyone who is wise or not kind is not humble or funny. If alice is not creative or humble then someone is both tall and rich and vice versa. Everyone who is either not brave or patient is either not brave or wise and vice versa. If john i... | Paul is not wise. | contradiction | (![X]:((~calm(X)&brave(X))<=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~humble(X)|funny(X))))&
(((~creative(alice)|humble(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((~brave(X)<~>patient(X))<=>(~brave(X)<~>wise(X))))&
(((~old(john)&~funny(john)))<=>((tall(paul)<~>quiet(paul))))&
(![X]:(creative(X)<=>(~quiet... | ~wise(paul) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4758555206844382145448322
% SZS output start Proof for 4758555206844382145448322
1. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (~tall(X0) | ~calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => (funny(X0) | ~humble(X0))) [input p1]
3. (humble(alice) | ~creative(alice)) <=> ? [X0] : (ri... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Fred is tall. | contradiction | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | tall(fred) | [
"p2",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9007957496794395465141494
% SZS output start Proof for 9007957496794395465141494
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0))) [input p2]
10. ! [X0] : (~rich(X0) => ~tall(X0)) [input p9]
13. ! [X0] : ((patient(X0) | creative(X0)) <=> ~rich(X0)) [input p12]
17. funny(fred) [inpu... | 0 |
If paul is either not generous or rich then someone is either happy or generous.
If alice is not generous then someone is humble or not wise and vice versa.
Everyone who is rich is humble and vice versa.
If fred is either happy or strong then lucy is either funny or not wise.
If someone is brave or not old then mary is... | Paul is not wise. | contradiction | (((~generous(paul)<~>rich(paul)))=>(?[X]:((happy(X)<~>generous(X)))))&
((~generous(alice))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:(rich(X)<=>humble(X)))&
(((happy(fred)<~>strong(fred)))=>((funny(lucy)<~>~wise(lucy))))&
((?[X]:((brave(X)|~old(X))))=>((quiet(mary)|~happy(mary))))&
(![X]:(~humble(X)<=>(~tall(X)|rich(X)))... | ~wise(paul) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9037224886985215849202487
% SZS output start Proof for 9037224886985215849202487
3. ! [X0] : (rich(X0) <=> humble(X0)) [input p2]
6. ! [X0] : (~humble(X0) <=> (rich(X0) | ~tall(X0))) [input p5]
7. ! [X0] : ((~old(X0) <~> ~brave(X0)) <=> (~humble(X0) | ~generous(X0))) [input p6]
9. ! [X0] ... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa. Everyone who is either not brave or kind is either patient or generous and vice versa. If someone is either brave or not brave then fred is either not patient or rich and vice versa. If susan is either not brave or not wise then john is both not... | Alice is not happy. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fred))))&
(((~brave(susan)<~>~wise(susan)))=>((~humble(john)&humble(john))))&
(![X]:((old(X)&calm(X))=>(~rich(X)<~>strong(X))))&
((?[X]:((~tall(X)|... | ~happy(alice) | [] | null | 0 |
If alice is either curious or not brave then mary is brave and vice versa. Everyone who is happy or not calm is patient and vice versa. Everyone who is not old is both strong and not tall. Everyone who is either not creative or brave is happy or not tall. If alice is rich or wise then john is funny. Everyone who is eit... | Susan is not generous. | contradiction | (((curious(alice)<~>~brave(alice)))<=>(brave(mary)))&
(![X]:((happy(X)|~calm(X))<=>patient(X)))&
(![X]:(~old(X)=>(strong(X)&~tall(X))))&
(![X]:((~creative(X)<~>brave(X))=>(happy(X)|~tall(X))))&
(((rich(alice)|wise(alice)))=>(funny(john)))&
(![X]:((~tall(X)<~>quiet(X))<=>creative(X)))&
((?[X]:(~creative(X)))=>(~tall(pau... | ~generous(susan) | [
"p1",
"p2",
"p7",
"p8",
"p11",
"p12",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6982715676527812715317917
% SZS output start Proof for 6982715676527812715317917
2. ! [X0] : ((~calm(X0) | happy(X0)) <=> patient(X0)) [input p1]
3. ! [X0] : (~old(X0) => (~tall(X0) & strong(X0))) [input p2]
8. ! [X0] : ((strong(X0) | ~wise(X0)) <=> (~generous(X0) <~> patient(X0))) [input... | 0 |
If someone is wise then someone is either not strong or brave and vice versa.
Everyone who is both quiet and calm is either kind or not humble.
Everyone who is both creative and funny is both not quiet and patient and vice versa.
Everyone who is either not wise or generous is both not wise and not funny and vice versa.... | Lucy is not generous. | contradiction | ((?[X]:(wise(X)))<=>(?[X]:((~strong(X)<~>brave(X)))))&
(![X]:((quiet(X)&calm(X))=>(kind(X)<~>~humble(X))))&
(![X]:((creative(X)&funny(X))<=>(~quiet(X)&patient(X))))&
(![X]:((~wise(X)<~>generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:((tall(X)&~wise(X))<=>(~generous(X)|tall(X))))&
(![X]:((patient(X)<~>happy(X))=>(happy(X)<... | ~generous(lucy) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 267748190044086923511857
% SZS output start Proof for 267748190044086923511857
4. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> (~funny(X0) & ~wise(X0))) [input p3]
5. ! [X0] : ((~wise(X0) & tall(X0)) <=> (tall(X0) | ~generous(X0))) [input p4]
10. ! [X0] : (funny(X0) <=> (~curious(X0) | curi... | 0 |
If susan is both old and kind then susan is not brave or not kind and vice versa.
If paul is either old or not patient then someone is not humble or not funny.
If someone is either brave or creative then mary is wise and vice versa.
Everyone who is either not tall or strong is not quiet or not calm.
Everyone who is bot... | John is curious. | contradiction | (((old(susan)&kind(susan)))<=>((~brave(susan)|~kind(susan))))&
(((old(paul)<~>~patient(paul)))=>(?[X]:((~humble(X)|~funny(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>(wise(mary)))&
(![X]:((~tall(X)<~>strong(X))=>(~quiet(X)|~calm(X))))&
(![X]:((kind(X)&~rich(X))<=>(humble(X)<~>rich(X))))&
(![X]:(curious(X)<=>~humble(X)... | curious(john) | [
"p4",
"p5",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4470718652848947787743394
% SZS output start Proof for 4470718652848947787743394
5. ! [X0] : ((~rich(X0) & kind(X0)) <=> (humble(X0) <~> rich(X0))) [input p4]
6. ! [X0] : (curious(X0) <=> ~humble(X0)) [input p5]
7. ! [X0] : ((~wise(X0) <~> rich(X0)) => ~old(X0)) [input p6]
9. ! [X0] : (wi... | 0 |
Everyone who is both not quiet and not creative is funny.
Everyone who is both curious and calm is either not strong or not quiet.
If lucy is either quiet or not generous then someone is not strong and vice versa.
Everyone who is not old or not humble is curious.
If lucy is funny or wise then susan is not creative or h... | Paul is not wise. | contradiction | (![X]:((~quiet(X)&~creative(X))=>funny(X)))&
(![X]:((curious(X)&calm(X))=>(~strong(X)<~>~quiet(X))))&
(((quiet(lucy)<~>~generous(lucy)))<=>(?[X]:(~strong(X))))&
(![X]:((~old(X)|~humble(X))=>curious(X)))&
(((funny(lucy)|wise(lucy)))=>((~creative(susan)|happy(susan))))&
(![X]:((~rich(X)<~>~kind(X))<=>(humble(X)<~>~patien... | ~wise(paul) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7709243477483766655838803
% SZS output start Proof for 7709243477483766655838803
14. ! [X0] : ((~calm(X0) & generous(X0)) <=> (~calm(X0) | generous(X0))) [input p13]
16. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (~creative(X0) & wise(X0))) [input p15]
23. ~wise(paul) [input hypothesis]
68... | 0 |
If paul is not patient then lucy is not quiet or not funny and vice versa.
Everyone who is not curious or old is either not brave or kind and vice versa.
Everyone who is both generous and not curious is both not rich and not quiet.
If mary is both patient and not strong then someone is both not quiet and not funny and ... | Lucy is not generous. | neutral | ((~patient(paul))<=>((~quiet(lucy)|~funny(lucy))))&
(![X]:((~curious(X)|old(X))<=>(~brave(X)<~>kind(X))))&
(![X]:((generous(X)&~curious(X))=>(~rich(X)&~quiet(X))))&
(((patient(mary)&~strong(mary)))<=>(?[X]:((~quiet(X)&~funny(X)))))&
(((patient(mary)|brave(mary)))<=>((creative(paul)&~generous(paul))))&
(![X]:((~kind(X)|... | ~generous(lucy) | [] | null | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or strong then alice is either strong or not generous.
Everyone who is both not brave and not creative is not happy and vice versa.
Everyone who is both not brave and not rich is both tall and ... | Susan is tall. | contradiction | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>strong(mary)))=>((strong(alice)<~>~generous(alice))))&
(![X]:((~brave(X)&~creative(X))<=>~happy(X)))&
(![X]:((~brave(X)&~rich(X))=>(tall(X)&rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)<~>patient(X)))))&
((calm(susan))<=>(?[X]:(c... | tall(susan) | [
"p2",
"p3",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3947999937948615425910683
% SZS output start Proof for 3947999937948615425910683
3. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((~rich(X0) & ~brave(X0)) => (rich(X0) & tall(X0))) [input p3]
6. calm(susan) <=> ? [X0] : curious(X0) [input p5]
9. curious(pa... | 0 |
Everyone who is both humble and not humble is wise and vice versa.
If someone is old then someone is either kind or happy.
Everyone who is both kind and humble is not old.
If paul is both wise and not wise then lucy is either not humble or not wise.
If lucy is both rich and funny then someone is not curious and vice ve... | Alice is not curious. | contradiction | (![X]:((humble(X)&~humble(X))<=>wise(X)))&
((?[X]:(old(X)))=>(?[X]:((kind(X)<~>happy(X)))))&
(![X]:((kind(X)&humble(X))=>~old(X)))&
(((wise(paul)&~wise(paul)))=>((~humble(lucy)<~>~wise(lucy))))&
(((rich(lucy)&funny(lucy)))<=>(?[X]:(~curious(X))))&
((?[X]:((rich(X)|~tall(X))))=>((curious(alice)<~>~happy(alice))))&
(![X]... | ~curious(alice) | [
"p0",
"p4",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1368515192884315295799331
% SZS output start Proof for 1368515192884315295799331
1. ! [X0] : ((~humble(X0) & humble(X0)) <=> wise(X0)) [input p0]
5. (funny(lucy) & rich(lucy)) <=> ? [X0] : ~curious(X0) [input p4]
12. ? [X0] : curious(X0) => (~funny(lucy) | wise(lucy)) [input p11]
20. ? [X... | 0 |
Everyone who is both not tall and not kind is creative. Everyone who is humble or kind is both strong and wise. Everyone who is not curious or curious is not patient or not happy and vice versa. Everyone who is brave or not creative is tall or not kind and vice versa. If someone is both humble and not old then john is ... | Susan is not rich. | entailment | (![X]:((~tall(X)&~kind(X))=>creative(X)))&
(![X]:((humble(X)|kind(X))=>(strong(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>(~patient(X)|~happy(X))))&
(![X]:((brave(X)|~creative(X))<=>(tall(X)|~kind(X))))&
((?[X]:((humble(X)&~old(X))))=>(rich(john)))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:((quiet(X)|~old(X)))))&
((~wi... | ~rich(susan) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p9",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8815473773463710883253832
% SZS output start Proof for 8815473773463710883253832
1. ! [X0] : ((~kind(X0) & ~tall(X0)) => creative(X0)) [input p0]
2. ! [X0] : ((kind(X0) | humble(X0)) => (wise(X0) & strong(X0))) [input p1]
3. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~happy(X0) | ~patien... | 0 |
Everyone who is both old and not creative is both rich and generous and vice versa. Everyone who is not patient or not happy is funny. Everyone who is either not strong or happy is both old and calm. Everyone who is either not brave or tall is both rich and not patient. Everyone who is either strong or not curious is e... | Mary is creative. | entailment | (![X]:((old(X)&~creative(X))<=>(rich(X)&generous(X))))&
(![X]:((~patient(X)|~happy(X))=>funny(X)))&
(![X]:((~strong(X)<~>happy(X))=>(old(X)&calm(X))))&
(![X]:((~brave(X)<~>tall(X))=>(rich(X)&~patient(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(funny(X)<~>quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(quiet(X)|~creative(X)... | creative(mary) | [
"p1",
"p3",
"p5",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8235632265299146895425115
% SZS output start Proof for 8235632265299146895425115
2. ! [X0] : ((~happy(X0) | ~patient(X0)) => funny(X0)) [input p1]
4. ! [X0] : ((~brave(X0) <~> tall(X0)) => (~patient(X0) & rich(X0))) [input p3]
6. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~creative(X0) | qu... | 0 |
Everyone who is not happy is not generous and vice versa. If john is not brave or not creative then someone is both creative and not wise. Everyone who is either not quiet or patient is either not calm or wise and vice versa. If alice is either quiet or creative then someone is both quiet and tall and vice versa. Every... | Paul is calm. | neutral | (![X]:(~happy(X)<=>~generous(X)))&
(((~brave(john)|~creative(john)))=>(?[X]:((creative(X)&~wise(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(~calm(X)<~>wise(X))))&
(((quiet(alice)<~>creative(alice)))<=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((~generous(X)&brave(X))<=>(patient(X)&humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>... | calm(paul) | [] | null | 0 |
Everyone who is kind or not curious is both brave and generous and vice versa. Everyone who is not creative or wise is either tall or brave and vice versa. Everyone who is not rich or happy is either happy or calm. If fred is both not patient and happy then fred is generous and vice versa. Everyone who is not happy or ... | Susan is not generous. | neutral | (![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy))=>(kind(john)))&
(![X]:((~brave(X)... | ~generous(susan) | [] | null | 0 |
Everyone who is wise is both happy and patient. If someone is not tall then someone is kind or generous. If someone is not wise or not brave then susan is not funny or curious. If someone is old then someone is both wise and generous and vice versa. If paul is both funny and tall then someone is not curious and vice ve... | Lucy is not generous. | entailment | (![X]:(wise(X)=>(happy(X)&patient(X))))&
((?[X]:(~tall(X)))=>(?[X]:((kind(X)|generous(X)))))&
((?[X]:((~wise(X)|~brave(X))))=>((~funny(susan)|curious(susan))))&
((?[X]:(old(X)))<=>(?[X]:((wise(X)&generous(X)))))&
(((funny(paul)&tall(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)&~tall(X))=>(~brave(X)|~creative(X))... | ~generous(lucy) | [
"p0",
"p9",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5292630371575819085556031
% SZS output start Proof for 5292630371575819085556031
1. ! [X0] : (wise(X0) => (patient(X0) & happy(X0))) [input p0]
10. ? [X0] : (old(X0) & ~wise(X0)) <=> ? [X0] : (~creative(X0) & tall(X0)) [input p9]
12. ! [X0] : (humble(X0) <=> (~generous(X0) & ~tall(X0))) [... | 0 |
Everyone who is either rich or not calm is either not patient or not wise.
If paul is either humble or not humble then someone is patient and vice versa.
Everyone who is not wise is either not generous or not kind and vice versa.
If someone is not curious then someone is not old or not strong and vice versa.
Everyone w... | Fred is not humble. | entailment | (![X]:((rich(X)<~>~calm(X))=>(~patient(X)<~>~wise(X))))&
(((humble(paul)<~>~humble(paul)))<=>(?[X]:(patient(X))))&
(![X]:(~wise(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((tall(X)|creative(X))<=>(strong(X)&humble(X))))&
(![X]:((~calm(X)&curious(X))=>~kind(X)))&
(![X... | ~humble(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2550823550652165626579725
% SZS output start Proof for 2550823550652165626579725
11. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (~old(X0) <~> old(X0))) [input p10]
23. humble(fred) [input hypothesis]
54. ! [X0] : (((quiet(X0) & ~humble(X0)) | ((~old(X0) | ~old(X0)) & (old(X0) | old(X0)))) & ... | 0 |
Everyone who is creative or not wise is both not curious and not old.
Everyone who is both tall and not happy is funny.
Everyone who is both creative and not calm is both not old and funny.
If someone is either old or happy then someone is both not patient and rich.
If someone is quiet or rich then lucy is both old and... | Lucy is humble. | entailment | (![X]:((creative(X)|~wise(X))=>(~curious(X)&~old(X))))&
(![X]:((tall(X)&~happy(X))=>funny(X)))&
(![X]:((creative(X)&~calm(X))=>(~old(X)&funny(X))))&
((?[X]:((old(X)<~>happy(X))))=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:((quiet(X)|rich(X))))=>((old(lucy)&strong(lucy))))&
(((~rich(lucy)|humble(lucy)))<=>((~calm(paul)<~>... | humble(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8013612912136964328669123
% SZS output start Proof for 8013612912136964328669123
17. humble(lucy) & wise(lucy) [input p16]
25. ~humble(lucy) [input hypothesis]
32. humble(lucy) [pure predicate removal 17]
101. humble(lucy) [cnf transformation 32]
108. ~humble(lucy) [cnf transformation 25]... | 0 |
Everyone who is both not generous and strong is either old or not funny.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not... | Mary is tall. | entailment | (![X]:((~generous(X)&strong(X))=>(old(X)<~>~funny(X))))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X)... | tall(mary) | [
"p0",
"p5",
"p6",
"p8",
"p11",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4073791219593281861368273
% SZS output start Proof for 4073791219593281861368273
1. ! [X0] : ((strong(X0) & ~generous(X0)) => (old(X0) <~> ~funny(X0))) [input p0]
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and kind then someone is not old or rich.
If someone is both patient and happy then john is rich.
If mary is funny then someone is not wise or not strong.
Everyone who is curious or not old is brave or not wise.
Ev... | John is creative. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient... | creative(john) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4710702862836605745110244
% SZS output start Proof for 4710702862836605745110244
1. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (calm(X0) & creative(X0))) [input p0]
5. ! [X0] : ((~old(X0) | curious(X0)) => (~wise(X0) | brave(X0))) [input p4]
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
... | 0 |
If someone is tall or not kind then someone is both brave and patient and vice versa.
If fred is not calm or not humble then alice is both not funny and not happy and vice versa.
Everyone who is both not quiet and curious is not creative and vice versa.
Everyone who is quiet is both not funny and not brave.
If someone ... | Mary is not funny. | entailment | ((?[X]:((tall(X)|~kind(X))))<=>(?[X]:((brave(X)&patient(X)))))&
(((~calm(fred)|~humble(fred)))<=>((~funny(alice)&~happy(alice))))&
(![X]:((~quiet(X)&curious(X))<=>~creative(X)))&
(![X]:(quiet(X)=>(~funny(X)&~brave(X))))&
((?[X]:((calm(X)<~>brave(X))))<=>(~generous(susan)))&
(![X]:((~calm(X)|~funny(X))<=>(funny(X)|~kind... | ~funny(mary) | [
"p2",
"p3",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3136894552159359296533058
% SZS output start Proof for 3136894552159359296533058
3. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p2]
4. ! [X0] : (quiet(X0) => (~brave(X0) & ~funny(X0))) [input p3]
14. ? [X0] : creative(X0) => ~wise(mary) [input p13]
17. ? [X0] : (~patien... | 0 |
If someone is quiet then someone is not calm and vice versa. If someone is not generous or not rich then fred is both not rich and not happy. If mary is not creative then someone is not brave or not kind. Everyone who is creative or not patient is either happy or humble. Everyone who is both funny and not happy is happ... | Fred is creative. | contradiction | ((?[X]:(quiet(X)))<=>(?[X]:(~calm(X))))&
((?[X]:((~generous(X)|~rich(X))))=>((~rich(fred)&~happy(fred))))&
((~creative(mary))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((creative(X)|~patient(X))=>(happy(X)<~>humble(X))))&
(![X]:((funny(X)&~happy(X))=>happy(X)))&
(![X]:((~wise(X)<~>rich(X))<=>(kind(X)<~>curious(X))))&
(![X... | creative(fred) | [
"p6",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 73381576868090684748325
% SZS output start Proof for 73381576868090684748325
7. ! [X0] : ((kind(X0) & wise(X0)) <=> (calm(X0) | ~funny(X0))) [input p6]
8. ! [X0] : ((creative(X0) <~> ~kind(X0)) => (brave(X0) & ~generous(X0))) [input p7]
14. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> brave(... | 0 |
Everyone who is humble or funny is not funny.
Everyone who is kind or curious is not happy.
If someone is tall then mary is not brave.
Everyone who is both rich and kind is both strong and creative and vice versa.
If susan is both not creative and not humble then susan is either not brave or not humble.
Everyone who is... | Mary is kind. | neutral | (![X]:((humble(X)|funny(X))=>~funny(X)))&
(![X]:((kind(X)|curious(X))=>~happy(X)))&
((?[X]:(tall(X)))=>(~brave(mary)))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&creative(X))))&
(((~creative(susan)&~humble(susan)))=>((~brave(susan)<~>~humble(susan))))&
(![X]:((old(X)|~quiet(X))=>(happy(X)&~brave(X))))&
(![X]:(funny(X)<=>(c... | kind(mary) | [] | null | 0 |
If someone is both not brave and brave then someone is not brave or not wise and vice versa. If someone is strong then susan is both not curious and not funny and vice versa. If paul is old then fred is tall or not quiet. Everyone who is either not brave or curious is not happy or funny. If john is both not calm and br... | John is not funny. | entailment | ((?[X]:((~brave(X)&brave(X))))<=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:(strong(X)))<=>((~curious(susan)&~funny(susan))))&
((old(paul))=>((tall(fred)|~quiet(fred))))&
(![X]:((~brave(X)<~>curious(X))=>(~happy(X)|funny(X))))&
(((~calm(john)&brave(john)))=>(?[X]:((~curious(X)|old(X)))))&
(![X]:((rich(X)|wise(X))<=>(~quiet... | ~funny(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 159375758823697525579634
% SZS output start Proof for 159375758823697525579634
15. ! [X0] : (creative(X0) <=> (funny(X0) & ~creative(X0))) [input p14]
23. funny(john) [input hypothesis]
70. ! [X0] : ((creative(X0) | (~funny(X0) | creative(X0))) & ((funny(X0) & ~creative(X0)) | ~creative(X... | 0 |
If john is not humble or old then paul is tall or rich and vice versa.
Everyone who is either not curious or wise is not generous.
If someone is either tall or curious then someone is wise or not curious.
Everyone who is not old or funny is both not brave and rich and vice versa.
Everyone who is generous or kind is old... | Fred is not quiet. | contradiction | (((~humble(john)|old(john)))<=>((tall(paul)|rich(paul))))&
(![X]:((~curious(X)<~>wise(X))=>~generous(X)))&
((?[X]:((tall(X)<~>curious(X))))=>(?[X]:((wise(X)|~curious(X)))))&
(![X]:((~old(X)|funny(X))<=>(~brave(X)&rich(X))))&
(![X]:((generous(X)|kind(X))=>old(X)))&
((?[X]:((~patient(X)|old(X))))<=>((curious(fred)<~>brav... | ~quiet(fred) | [
"p5",
"p7",
"p8",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7653767598791435713759511
% SZS output start Proof for 7653767598791435713759511
6. ? [X0] : (old(X0) | ~patient(X0)) <=> (curious(fred) <~> brave(fred)) [input p5]
8. ! [X0] : ((~rich(X0) | curious(X0)) => ~patient(X0)) [input p7]
9. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> (quiet(X... | 0 |
Everyone who is both happy and not strong is either happy or brave.
If paul is calm or curious then paul is either not patient or not curious and vice versa.
If john is either not calm or kind then someone is both quiet and not patient.
If john is both not curious and not quiet then someone is not patient.
Everyone who... | Mary is not quiet. | contradiction | (![X]:((happy(X)&~strong(X))=>(happy(X)<~>brave(X))))&
(((calm(paul)|curious(paul)))<=>((~patient(paul)<~>~curious(paul))))&
(((~calm(john)<~>kind(john)))=>(?[X]:((quiet(X)&~patient(X)))))&
(((~curious(john)&~quiet(john)))=>(?[X]:(~patient(X))))&
(![X]:((strong(X)&~rich(X))<=>(tall(X)&~strong(X))))&
((?[X]:((happy(X)<~... | ~quiet(mary) | [
"p5",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4383124326061898059510734
% SZS output start Proof for 4383124326061898059510734
6. ? [X0] : (happy(X0) <~> ~quiet(X0)) <=> ? [X0] : (~kind(X0) & ~humble(X0)) [input p5]
16. ! [X0] : ((~kind(X0) | ~old(X0)) => (~curious(X0) & kind(X0))) [input p15]
21. ~happy(mary) | quiet(mary) [input p2... | 0 |
If fred is not generous or not quiet then someone is both quiet and not quiet and vice versa.
Everyone who is not brave is both brave and wise.
If someone is not humble then someone is both not curious and not wise and vice versa.
If lucy is either not funny or not calm then someone is funny.
If john is not patient or ... | Susan is rich. | entailment | (((~generous(fred)|~quiet(fred)))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:(~brave(X)=>(brave(X)&wise(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~curious(X)&~wise(X)))))&
(((~funny(lucy)<~>~calm(lucy)))=>(?[X]:(funny(X))))&
(((~patient(john)|~curious(john)))=>((wise(lucy)&funny(lucy))))&
(![X]:((brave(X)&wise(X))=>(wise(X)&k... | rich(susan) | [
"p1",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 69751281066849824385611
% SZS output start Proof for 69751281066849824385611
2. ! [X0] : (~brave(X0) => (wise(X0) & brave(X0))) [input p1]
8. ! [X0] : ((~generous(X0) | curious(X0)) <=> ~brave(X0)) [input p7]
15. ! [X0] : ((curious(X0) & ~creative(X0)) <=> (~rich(X0) | ~patient(X0))) [inp... | 0 |
Everyone who is both not curious and not humble is either strong or curious and vice versa.
Everyone who is both not calm and generous is strong or tall.
If paul is not humble then susan is patient or not brave and vice versa.
If paul is either not rich or patient then fred is both happy and not rich.
If someone is tal... | Lucy is not curious. | contradiction | (![X]:((~curious(X)&~humble(X))<=>(strong(X)<~>curious(X))))&
(![X]:((~calm(X)&generous(X))=>(strong(X)|tall(X))))&
((~humble(paul))<=>((patient(susan)|~brave(susan))))&
(((~rich(paul)<~>patient(paul)))=>((happy(fred)&~rich(fred))))&
((?[X]:(tall(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((wise(X)|~happy(X))))<=>((kind(paul... | ~curious(lucy) | [
"p0",
"p4",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6567822707638905332736678
% SZS output start Proof for 6567822707638905332736678
1. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (strong(X0) <~> curious(X0))) [input p0]
5. ? [X0] : tall(X0) <=> ? [X0] : ~curious(X0) [input p4]
7. ! [X0] : (~generous(X0) <=> tall(X0)) [input p6]
13. ! [X0] ... | 0 |
If someone is rich or not brave then mary is both not brave and not patient.
If susan is both calm and wise then alice is both strong and not wise.
If john is not rich then susan is either not wise or not old and vice versa.
If someone is either patient or not kind then someone is not calm and vice versa.
If john is no... | Mary is not tall. | neutral | ((?[X]:((rich(X)|~brave(X))))=>((~brave(mary)&~patient(mary))))&
(((calm(susan)&wise(susan)))=>((strong(alice)&~wise(alice))))&
((~rich(john))<=>((~wise(susan)<~>~old(susan))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:(~calm(X))))&
(((~calm(john)|~curious(john)))<=>(?[X]:((rich(X)&~brave(X)))))&
(![X]:(strong(X)=>~ol... | ~tall(mary) | [] | null | 0 |
If lucy is both not wise and not kind then someone is both creative and not strong.
Everyone who is both not happy and not strong is not funny or not brave and vice versa.
Everyone who is both calm and strong is not wise and vice versa.
Everyone who is strong or brave is either not quiet or not strong and vice versa.
E... | Fred is quiet. | entailment | (((~wise(lucy)&~kind(lucy)))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((calm(X)&strong(X))<=>~wise(X)))&
(![X]:((strong(X)|brave(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~rich(X)<~>tall(X))=>~wise(X)))&
((?[X]:((~tall(X)|funny(X))))=>(?[X]:(~tall(X))))&
(![X]:... | quiet(fred) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p8",
"p10",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4554469723965584667118603
% SZS output start Proof for 4554469723965584667118603
2. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p1]
3. ! [X0] : ((strong(X0) & calm(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((brave(X0) | strong(X0)) <=> (~quiet(X0) <~> ~stro... | 0 |
If someone is either strong or funny then mary is not creative or not curious and vice versa.
If someone is either not calm or not tall then someone is funny or not creative.
If someone is calm then lucy is both patient and rich and vice versa.
Everyone who is both not patient and humble is happy and vice versa.
Everyo... | Fred is patient. | contradiction | ((?[X]:((strong(X)<~>funny(X))))<=>((~creative(mary)|~curious(mary))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((funny(X)|~creative(X)))))&
((?[X]:(calm(X)))<=>((patient(lucy)&rich(lucy))))&
(![X]:((~patient(X)&humble(X))<=>happy(X)))&
(![X]:((patient(X)&~strong(X))<=>(~humble(X)<~>funny(X))))&
(![X]:((~brave(X)|~tall(... | patient(fred) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3546914563038924093885120
% SZS output start Proof for 3546914563038924093885120
3. ? [X0] : calm(X0) <=> (rich(lucy) & patient(lucy)) [input p2]
11. ! [X0] : ((rich(X0) | ~calm(X0)) => ~patient(X0)) [input p10]
19. patient(fred) [input hypothesis]
28. ! [X0] : (~patient(X0) | (~rich(X0) ... | 0 |
If susan is either not funny or tall then someone is strong and vice versa.
Everyone who is not funny or not rich is not kind or wise.
Everyone who is not generous or not tall is both not brave and quiet.
If paul is both happy and not creative then someone is not happy or kind and vice versa.
If paul is either not calm... | Susan is strong. | contradiction | (((~funny(susan)<~>tall(susan)))<=>(?[X]:(strong(X))))&
(![X]:((~funny(X)|~rich(X))=>(~kind(X)|wise(X))))&
(![X]:((~generous(X)|~tall(X))=>(~brave(X)&quiet(X))))&
(((happy(paul)&~creative(paul)))<=>(?[X]:((~happy(X)|kind(X)))))&
(((~calm(paul)<~>~wise(paul)))<=>((generous(lucy)&~happy(lucy))))&
((?[X]:(kind(X)))<=>(~ha... | strong(susan) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8732111420522991966628694
% SZS output start Proof for 8732111420522991966628694
1. (~funny(susan) <~> tall(susan)) <=> ? [X0] : strong(X0) [input p0]
10. ! [X0] : ((tall(X0) <~> patient(X0)) <=> (~patient(X0) <~> funny(X0))) [input p9]
25. strong(susan) [input hypothesis]
36. (((~tall(su... | 0 |
If someone is both curious and not generous then someone is either not wise or patient and vice versa.
Everyone who is not strong or not generous is not funny.
If someone is either kind or patient then someone is calm or not patient and vice versa.
If someone is not patient or not funny then someone is both generous an... | John is happy. | entailment | ((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~strong(X)|~generous(X))=>~funny(X)))&
((?[X]:((kind(X)<~>patient(X))))<=>(?[X]:((calm(X)|~patient(X)))))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:((generous(X)&~calm(X)))))&
(![X]:((~generous(X)<~>quiet(X))<=>(wise(X)&~generous(X))))&
(... | happy(john) | [
"p0",
"p1",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1629890278947355928943114
% SZS output start Proof for 1629890278947355928943114
1. ? [X0] : (~generous(X0) & curious(X0)) <=> ? [X0] : (~wise(X0) <~> patient(X0)) [input p0]
2. ! [X0] : ((~generous(X0) | ~strong(X0)) => ~funny(X0)) [input p1]
10. ! [X0] : ((kind(X0) | wise(X0)) => (~pati... | 0 |
If someone is either wise or rich then someone is either not quiet or brave. Everyone who is both not funny and not kind is either not wise or not kind. If someone is not kind then someone is brave or old. Everyone who is either humble or not curious is both generous and not strong and vice versa. If someone is not tal... | Fred is happy. | neutral | ((?[X]:((wise(X)<~>rich(X))))=>(?[X]:((~quiet(X)<~>brave(X)))))&
(![X]:((~funny(X)&~kind(X))=>(~wise(X)<~>~kind(X))))&
((?[X]:(~kind(X)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:((humble(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
((?[X]:((~tall(X)|patient(X))))=>((funny(fred)<~>happy(fred))))&
(![X]:((kind(X)|~humble(... | happy(fred) | [] | null | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Mary is strong. | contradiction | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | strong(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7599200467545507603708028
% SZS output start Proof for 7599200467545507603708028
10. ! [X0] : ((~kind(X0) | kind(X0)) => (~strong(X0) & ~happy(X0))) [input p9]
23. strong(mary) [input hypothesis]
35. ! [X0] : ((~strong(X0) & ~happy(X0)) | (kind(X0) & ~kind(X0))) [ennf transformation 10]
9... | 0 |
Everyone who is humble or not tall is either happy or not tall.
If someone is either kind or generous then lucy is patient or rich and vice versa.
If someone is both not calm and not creative then fred is wise.
Everyone who is wise or not generous is patient.
If lucy is either not tall or not patient then someone is no... | John is not brave. | entailment | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((kind(X)<~>generous(X))))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~calm(X)&~creative(X))))=>(wise(fred)))&
(![X]:((wise(X)|~generous(X))=>patient(X)))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X))... | ~brave(john) | [
"p3",
"p5",
"p6",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1609245228943214384787108
% SZS output start Proof for 1609245228943214384787108
4. ! [X0] : ((~generous(X0) | wise(X0)) => patient(X0)) [input p3]
6. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~creative(X0)) [input p5]
7. ! [X0] : ((tall(X0) & ~creative(X0)) => (happy(X0) & wise(X0))) [in... | 0 |
Everyone who is both not creative and tall is wise or not old.
If someone is either not funny or strong then someone is either strong or humble and vice versa.
If paul is funny or not quiet then lucy is strong or not strong and vice versa.
Everyone who is not strong or not rich is wise or not calm.
Everyone who is crea... | Paul is brave. | entailment | (![X]:((~creative(X)&tall(X))=>(wise(X)|~old(X))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((strong(X)<~>humble(X)))))&
(((funny(paul)|~quiet(paul)))<=>((strong(lucy)|~strong(lucy))))&
(![X]:((~strong(X)|~rich(X))=>(wise(X)|~calm(X))))&
(![X]:((creative(X)|happy(X))=>humble(X)))&
(![X]:((~happy(X)&patient(X))=>~stro... | brave(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 13781607711392507574553
% SZS output start Proof for 13781607711392507574553
12. ! [X0] : ((~brave(X0) | happy(X0)) => brave(X0)) [input p11]
25. ~brave(paul) [input hypothesis]
39. ! [X0] : (brave(X0) | (brave(X0) & ~happy(X0))) [ennf transformation 12]
113. brave(X0) | brave(X0) [cnf tr... | 0 |
If alice is either not old or old then someone is not kind or not calm. Everyone who is either brave or not strong is curious and vice versa. If paul is wise then someone is strong or old and vice versa. Everyone who is brave or happy is not kind and vice versa. Everyone who is rich or not calm is not generous. If lucy... | Lucy is not happy. | entailment | (((~old(alice)<~>old(alice)))=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>curious(X)))&
((wise(paul))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>~kind(X)))&
(![X]:((rich(X)|~calm(X))=>~generous(X)))&
(((~humble(lucy)|~wise(lucy)))<=>((happy(fred)|~wise(fred))))&
(![X]:(patient(X)<... | ~happy(lucy) | [
"p2",
"p3",
"p11",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7498779262815778044342533
% SZS output start Proof for 7498779262815778044342533
3. wise(paul) <=> ? [X0] : (old(X0) | strong(X0)) [input p2]
4. ! [X0] : ((happy(X0) | brave(X0)) <=> ~kind(X0)) [input p3]
12. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~creative(X0) <~> wise(X0))) [input p1... | 0 |
Everyone who is brave or not curious is either not quiet or strong and vice versa.
If someone is old then someone is either not funny or rich and vice versa.
If someone is both brave and not kind then someone is not creative or not brave.
If someone is either not patient or not old then someone is either quiet or gener... | Paul is happy. | entailment | (![X]:((brave(X)|~curious(X))<=>(~quiet(X)<~>strong(X))))&
((?[X]:(old(X)))<=>(?[X]:((~funny(X)<~>rich(X)))))&
((?[X]:((brave(X)&~kind(X))))=>(?[X]:((~creative(X)|~brave(X)))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((quiet(X)<~>generous(X)))))&
(![X]:(~brave(X)=>(~strong(X)|~patient(X))))&
(![X]:((~tall(X)|~patien... | happy(paul) | [
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 838109061449632323532030
% SZS output start Proof for 838109061449632323532030
6. ! [X0] : ((~patient(X0) | ~tall(X0)) => (creative(X0) & old(X0))) [input p5]
8. ! [X0] : (creative(X0) => happy(X0)) [input p7]
11. ! [X0] : (tall(X0) => (humble(X0) & happy(X0))) [input p10]
25. ~happy(paul... | 0 |
If someone is both creative and happy then susan is not generous.
Everyone who is not brave or humble is humble.
If paul is funny then fred is both brave and not patient and vice versa.
Everyone who is either not old or not humble is both not curious and rich and vice versa.
Everyone who is both not tall and generous i... | Mary is not wise. | entailment | ((?[X]:((creative(X)&happy(X))))=>(~generous(susan)))&
(![X]:((~brave(X)|humble(X))=>humble(X)))&
((funny(paul))<=>((brave(fred)&~patient(fred))))&
(![X]:((~old(X)<~>~humble(X))<=>(~curious(X)&rich(X))))&
(![X]:((~tall(X)&generous(X))=>(~patient(X)|~humble(X))))&
(((~old(paul)|~curious(paul)))<=>(~happy(mary)))&
(![X]:... | ~wise(mary) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7619366959523729586584205
% SZS output start Proof for 7619366959523729586584205
4. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (rich(X0) & ~curious(X0))) [input p3]
6. (~curious(paul) | ~old(paul)) <=> ~happy(mary) [input p5]
9. ! [X0] : ((creative(X0) | ~rich(X0)) => (rich(X0) | creative(X... | 0 |
If someone is not funny then mary is either not patient or rich.
Everyone who is funny is either rich or not brave.
If john is either not curious or generous then someone is generous.
Everyone who is humble or strong is either strong or not wise.
Everyone who is either calm or brave is not calm.
If mary is generous or ... | Mary is not strong. | neutral | ((?[X]:(~funny(X)))=>((~patient(mary)<~>rich(mary))))&
(![X]:(funny(X)=>(rich(X)<~>~brave(X))))&
(((~curious(john)<~>generous(john)))=>(?[X]:(generous(X))))&
(![X]:((humble(X)|strong(X))=>(strong(X)<~>~wise(X))))&
(![X]:((calm(X)<~>brave(X))=>~calm(X)))&
(((generous(mary)|~old(mary)))=>(?[X]:((rich(X)<~>~creative(X))))... | ~strong(mary) | [] | null | 0 |
If paul is quiet then mary is creative and vice versa.
If someone is not happy or tall then susan is both not generous and wise and vice versa.
If paul is not creative or not patient then someone is not creative or strong and vice versa.
Everyone who is not humble or not generous is humble and vice versa.
Everyone who ... | Alice is generous. | contradiction | ((quiet(paul))<=>(creative(mary)))&
((?[X]:((~happy(X)|tall(X))))<=>((~generous(susan)&wise(susan))))&
(((~creative(paul)|~patient(paul)))<=>(?[X]:((~creative(X)|strong(X)))))&
(![X]:((~humble(X)|~generous(X))<=>humble(X)))&
(![X]:(humble(X)=>(kind(X)|~strong(X))))&
((humble(lucy))<=>(?[X]:((~creative(X)&~curious(X))))... | generous(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5215762737132703609840347
% SZS output start Proof for 5215762737132703609840347
4. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> humble(X0)) [input p3]
24. generous(alice) [input hypothesis]
44. ! [X0] : (((~generous(X0) | ~humble(X0)) | ~humble(X0)) & (humble(X0) | (generous(X0) & humble(... | 0 |
If someone is not wise or not creative then someone is calm and vice versa.
Everyone who is not curious is both not humble and generous and vice versa.
If someone is patient then someone is strong or humble and vice versa.
Everyone who is both not creative and not calm is either happy or not wise and vice versa.
Everyo... | Alice is not wise. | neutral | ((?[X]:((~wise(X)|~creative(X))))<=>(?[X]:(calm(X))))&
(![X]:(~curious(X)<=>(~humble(X)&generous(X))))&
((?[X]:(patient(X)))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((~creative(X)&~calm(X))<=>(happy(X)<~>~wise(X))))&
(![X]:((~old(X)&happy(X))<=>~curious(X)))&
(![X]:((brave(X)|~patient(X))<=>tall(X)))&
(![X]:((tall(X)|... | ~wise(alice) | [] | null | 0 |
If someone is not strong or not humble then someone is not rich or not tall.
Everyone who is both humble and tall is not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Alice is old. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | old(alice) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5610533582871566243349041
% SZS output start Proof for 5610533582871566243349041
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
7. ! [X0] : ((~old(X0) | ~rich(X0)) => (~patient(X0) & funny(X0))) [input p6]
21. ~old(alice) [input hypothesis]
27. ! [X0] : ((~patient(X0) & fu... | 0 |
Everyone who is either not curious or not creative is not curious or wise.
If susan is both tall and not quiet then lucy is either kind or strong and vice versa.
Everyone who is not creative or not rich is either not brave or kind and vice versa.
Everyone who is both wise and not old is not wise.
Everyone who is not ge... | Mary is patient. | entailment | (![X]:((~curious(X)<~>~creative(X))=>(~curious(X)|wise(X))))&
(((tall(susan)&~quiet(susan)))<=>((kind(lucy)<~>strong(lucy))))&
(![X]:((~creative(X)|~rich(X))<=>(~brave(X)<~>kind(X))))&
(![X]:((wise(X)&~old(X))=>~wise(X)))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)<~>~old(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?... | patient(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5968467808042939677783727
% SZS output start Proof for 5968467808042939677783727
10. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~old(X0)) [input p9]
24. ~patient(mary) [input hypothesis]
52. ! [X0] : (((old(X0) & ~patient(X0)) | old(X0)) & (~old(X0) | (~old(X0) | patient(X0)))) [nnf transform... | 0 |
Everyone who is tall is either not creative or not funny and vice versa.
If someone is both rich and quiet then someone is both not creative and tall.
If someone is not strong or not old then alice is both not happy and patient.
Everyone who is not patient or humble is kind.
Everyone who is not patient or not strong is... | John is creative. | contradiction | (![X]:(tall(X)<=>(~creative(X)<~>~funny(X))))&
((?[X]:((rich(X)&quiet(X))))=>(?[X]:((~creative(X)&tall(X)))))&
((?[X]:((~strong(X)|~old(X))))=>((~happy(alice)&patient(alice))))&
(![X]:((~patient(X)|humble(X))=>kind(X)))&
(![X]:((~patient(X)|~strong(X))<=>~calm(X)))&
((?[X]:((~generous(X)<~>generous(X))))=>(?[X]:((~curi... | creative(john) | [
"p2",
"p4",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1758755252219740328112774
% SZS output start Proof for 1758755252219740328112774
3. ? [X0] : (~old(X0) | ~strong(X0)) => (patient(alice) & ~happy(alice)) [input p2]
5. ! [X0] : ((~strong(X0) | ~patient(X0)) <=> ~calm(X0)) [input p4]
8. ! [X0] : (~old(X0) <=> (~calm(X0) <~> humble(X0))) [i... | 0 |
Everyone who is both not patient and not tall is generous and vice versa.
Everyone who is both not rich and wise is generous or quiet.
Everyone who is either not funny or rich is rich or calm.
If someone is either generous or happy then someone is not creative.
If susan is tall or not strong then someone is either wise... | John is calm. | entailment | (![X]:((~patient(X)&~tall(X))<=>generous(X)))&
(![X]:((~rich(X)&wise(X))=>(generous(X)|quiet(X))))&
(![X]:((~funny(X)<~>rich(X))=>(rich(X)|calm(X))))&
((?[X]:((generous(X)<~>happy(X))))=>(?[X]:(~creative(X))))&
(((tall(susan)|~strong(susan)))<=>(?[X]:((wise(X)<~>funny(X)))))&
(((generous(fred)&kind(fred)))<=>((~curious... | calm(john) | [
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1057115498085334324543060
% SZS output start Proof for 1057115498085334324543060
9. ? [X0] : (~rich(X0) | creative(X0)) => (~brave(john) & ~wise(john)) [input p8]
14. ! [X0] : ((calm(X0) | curious(X0)) <=> (wise(X0) <~> ~curious(X0))) [input p13]
22. ? [X0] : ~rich(X0) [input p21]
25. ~ca... | 0 |
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