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 quiet is not tall or not happy.
Everyone who is not strong is both not brave and calm.
Everyone who is both not creative and curious is both happy and not happy.
Everyone who is humble or wise is both not patient and wise.
Everyone who is both not strong and creative is either not curious or not rich.
E... | Paul is wise. | entailment | (![X]:(quiet(X)=>(~tall(X)|~happy(X))))&
(![X]:(~strong(X)=>(~brave(X)&calm(X))))&
(![X]:((~creative(X)&curious(X))=>(happy(X)&~happy(X))))&
(![X]:((humble(X)|wise(X))=>(~patient(X)&wise(X))))&
(![X]:((~strong(X)&creative(X))=>(~curious(X)<~>~rich(X))))&
(![X]:(~kind(X)=>(funny(X)<~>old(X))))&
((?[X]:((~tall(X)<~>~brav... | wise(paul) | [
"p11",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 230180982651457868362234
% SZS output start Proof for 230180982651457868362234
12. ? [X0] : (happy(X0) | ~strong(X0)) <=> (~creative(alice) & old(alice)) [input p11]
21. creative(alice) & brave(alice) [input p20]
23. happy(paul) | wise(paul) [input p22]
25. ~wise(paul) [input hypothesis]
... | 0 |
If someone is both not curious and not generous then someone is quiet or brave and vice versa.
If someone is either not calm or strong then paul is not quiet and vice versa.
Everyone who is not curious is both calm and old and vice versa.
Everyone who is not generous or not humble is both not patient and not kind and v... | Fred is not old. | contradiction | ((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:((quiet(X)|brave(X)))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~patient(X)&~kind(X))))&
((?[X]:((~old(X)<~>funny(X))))=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:(~old(X)<=>(kind(X)<~>fu... | ~old(fred) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7715650759454356644102862
% SZS output start Proof for 7715650759454356644102862
4. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~kind(X0) & ~patient(X0))) [input p3]
9. ! [X0] : (~old(X0) <=> (~generous(X0) & patient(X0))) [input p8]
25. ~old(fred) [input hypothesis]
46. ! [X0] : (((~hum... | 0 |
If mary is not creative then paul is happy or not humble. Everyone who is not rich or not calm is both wise and not tall and vice versa. Everyone who is either creative or wise is both brave and not creative and vice versa. Everyone who is either generous or not rich is either quiet or rich and vice versa. Everyone who... | Mary is generous. | contradiction | ((~creative(mary))=>((happy(paul)|~humble(paul))))&
(![X]:((~rich(X)|~calm(X))<=>(wise(X)&~tall(X))))&
(![X]:((creative(X)<~>wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(quiet(X)<~>rich(X))))&
(![X]:(~calm(X)=>(quiet(X)<~>~patient(X))))&
(![X]:(~creative(X)=>(strong(X)|rich(X))))&
(![X]:((~o... | generous(mary) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 831754701374386972148827
% SZS output start Proof for 831754701374386972148827
4. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (quiet(X0) <~> rich(X0))) [input p3]
7. ! [X0] : ((generous(X0) | ~old(X0)) => (quiet(X0) & happy(X0))) [input p6]
23. generous(mary) [input hypothesis]
32. ! [X0] ... | 0 |
If someone is curious or not old then someone is happy or creative and vice versa.
If someone is generous then john is both quiet and not rich and vice versa.
If lucy is not curious then paul is either humble or old.
Everyone who is tall is both not curious and kind and vice versa.
If lucy is quiet or tall then susan i... | Alice is not tall. | entailment | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((happy(X)|creative(X)))))&
((?[X]:(generous(X)))<=>((quiet(john)&~rich(john))))&
((~curious(lucy))=>((humble(paul)<~>old(paul))))&
(![X]:(tall(X)<=>(~curious(X)&kind(X))))&
(((quiet(lucy)|tall(lucy)))=>((humble(susan)|~patient(susan))))&
(((~calm(john)<~>~strong(john)))<=>(?[X]:(... | ~tall(alice) | [
"p1",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2040064462210840190737270
% SZS output start Proof for 2040064462210840190737270
2. ? [X0] : generous(X0) <=> (~rich(john) & quiet(john)) [input p1]
9. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (quiet(X0) | strong(X0))) [input p8]
16. ! [X0] : ((~tall(X0) <~> generous(X0)) <=> ~quiet(X0)) [i... | 0 |
Everyone who is both not curious and brave is not kind or not calm.
Everyone who is humble or happy is not wise or old.
If someone is either tall or strong then lucy is rich.
If someone is happy or kind then lucy is not wise or not curious.
Everyone who is tall or not patient is either patient or not wise and vice vers... | Lucy is not calm. | neutral | (![X]:((~curious(X)&brave(X))=>(~kind(X)|~calm(X))))&
(![X]:((humble(X)|happy(X))=>(~wise(X)|old(X))))&
((?[X]:((tall(X)<~>strong(X))))=>(rich(lucy)))&
((?[X]:((happy(X)|kind(X))))=>((~wise(lucy)|~curious(lucy))))&
(![X]:((tall(X)|~patient(X))<=>(patient(X)<~>~wise(X))))&
(((~rich(susan)|~calm(susan)))=>((curious(john)... | ~calm(lucy) | [] | null | 0 |
Everyone who is not patient is either humble or not rich.
Everyone who is not old or strong is either quiet or calm.
Everyone who is either not curious or generous is not patient.
If someone is either not kind or happy then lucy is either patient or generous.
Everyone who is curious or not creative is not kind or kind ... | Susan is not quiet. | contradiction | (![X]:(~patient(X)=>(humble(X)<~>~rich(X))))&
(![X]:((~old(X)|strong(X))=>(quiet(X)<~>calm(X))))&
(![X]:((~curious(X)<~>generous(X))=>~patient(X)))&
((?[X]:((~kind(X)<~>happy(X))))=>((patient(lucy)<~>generous(lucy))))&
(![X]:((curious(X)|~creative(X))<=>(~kind(X)|kind(X))))&
(![X]:((~funny(X)<~>~wise(X))=>(funny(X)<~>~... | ~quiet(susan) | [
"p1",
"p5",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8159833585290179773491250
% SZS output start Proof for 8159833585290179773491250
2. ! [X0] : ((strong(X0) | ~old(X0)) => (quiet(X0) <~> calm(X0))) [input p1]
6. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => (funny(X0) <~> ~wise(X0))) [input p5]
8. (~tall(fred) <~> ~funny(fred)) <=> ? [X0] : cal... | 0 |
Everyone who is creative is not tall and vice versa. Everyone who is not wise or humble is not kind. If alice is both wise and not patient then someone is not rich and vice versa. If alice is either wise or calm then lucy is both not calm and patient. Everyone who is both rich and calm is not tall and vice versa. Every... | John is not patient. | neutral | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((~wise(X)|humble(X))=>~kind(X)))&
(((wise(alice)&~patient(alice)))<=>(?[X]:(~rich(X))))&
(((wise(alice)<~>calm(alice)))=>((~calm(lucy)&patient(lucy))))&
(![X]:((rich(X)&calm(X))<=>~tall(X)))&
(![X]:((creative(X)<~>curious(X))=>(generous(X)<~>wise(X))))&
(![X]:((generous(X)<~>~pat... | ~patient(john) | [] | null | 0 |
Everyone who is both not funny and not brave is either patient or not tall.
Everyone who is either curious or not wise is both strong and not rich.
Everyone who is humble or not generous is humble and vice versa.
If someone is both generous and not quiet then lucy is both humble and brave and vice versa.
If someone is ... | Fred is quiet. | contradiction | (![X]:((~funny(X)&~brave(X))=>(patient(X)<~>~tall(X))))&
(![X]:((curious(X)<~>~wise(X))=>(strong(X)&~rich(X))))&
(![X]:((humble(X)|~generous(X))<=>humble(X)))&
((?[X]:((generous(X)&~quiet(X))))<=>((humble(lucy)&brave(lucy))))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:(~strong(X)=>(generous(X)... | quiet(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 180746187980734614413450
% SZS output start Proof for 180746187980734614413450
21. ~quiet(fred) & ~patient(fred) [input p20]
25. quiet(fred) [input hypothesis]
147. ~quiet(fred) [cnf transformation 21]
151. quiet(fred) [cnf transformation 25]
353. $false [subsumption resolution 151,147]
%... | 0 |
If someone is not humble or not quiet then someone is not strong and vice versa.
Everyone who is either brave or quiet is creative or brave and vice versa.
If susan is not creative then fred is both not curious and quiet and vice versa.
Everyone who is both not quiet and not rich is both not humble and quiet and vice v... | John is not brave. | contradiction | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>quiet(X))<=>(creative(X)|brave(X))))&
((~creative(susan))<=>((~curious(fred)&quiet(fred))))&
(![X]:((~quiet(X)&~rich(X))<=>(~humble(X)&quiet(X))))&
((calm(mary))<=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>quiet(X))=>(~humble(X)|gen... | ~brave(john) | [
"p1",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 124863888220208857352690
% SZS output start Proof for 124863888220208857352690
2. ! [X0] : ((brave(X0) <~> quiet(X0)) <=> (brave(X0) | creative(X0))) [input p1]
11. ! [X0] : ((~creative(X0) & calm(X0)) <=> (~wise(X0) | quiet(X0))) [input p10]
23. creative(john) <~> calm(john) [input p22]
... | 0 |
Everyone who is both tall and not kind is happy and vice versa.
If alice is not strong or old then john is both not brave and not wise and vice versa.
If someone is not old then susan is not curious or funny.
Everyone who is both curious and not happy is either not calm or not strong and vice versa.
If paul is kind the... | Mary is calm. | entailment | (![X]:((tall(X)&~kind(X))<=>happy(X)))&
(((~strong(alice)|old(alice)))<=>((~brave(john)&~wise(john))))&
((?[X]:(~old(X)))=>((~curious(susan)|funny(susan))))&
(![X]:((curious(X)&~happy(X))<=>(~calm(X)<~>~strong(X))))&
((kind(paul))<=>(humble(mary)))&
(![X]:((funny(X)&~kind(X))<=>(~rich(X)<~>creative(X))))&
(![X]:(~curio... | calm(mary) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2348145480385051064103223
% SZS output start Proof for 2348145480385051064103223
1. ! [X0] : ((~kind(X0) & tall(X0)) <=> happy(X0)) [input p0]
4. ! [X0] : ((~happy(X0) & curious(X0)) <=> (~calm(X0) <~> ~strong(X0))) [input p3]
7. ! [X0] : (~curious(X0) <=> (funny(X0) | strong(X0))) [input... | 0 |
If lucy is both patient and rich then someone is either not generous or old.
If someone is not quiet then someone is both funny and not funny and vice versa.
If someone is either happy or not calm then mary is either wise or happy and vice versa.
Everyone who is not quiet or strong is either generous or not tall and vi... | Paul is creative. | contradiction | (((patient(lucy)&rich(lucy)))=>(?[X]:((~generous(X)<~>old(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((funny(X)&~funny(X)))))&
((?[X]:((happy(X)<~>~calm(X))))<=>((wise(mary)<~>happy(mary))))&
(![X]:((~quiet(X)|strong(X))<=>(generous(X)<~>~tall(X))))&
(![X]:(patient(X)=>~tall(X)))&
((~wise(paul))<=>(?[X]:((quiet(X)|happy(X))))... | creative(paul) | [
"p1",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5757507847168073637913184
% SZS output start Proof for 5757507847168073637913184
2. ? [X0] : ~quiet(X0) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p1]
10. ? [X0] : (calm(X0) | ~humble(X0)) => ? [X0] : ~quiet(X0) [input p9]
14. ! [X0] : ((calm(X0) <~> creative(X0)) => (calm(X0) & rich(X0... | 0 |
Everyone who is funny is not kind or humble.
Everyone who is happy is either curious or not strong and vice versa.
If someone is rich or not happy then someone is either tall or quiet.
Everyone who is humble or not wise is generous and vice versa.
If someone is not generous then someone is both strong and not funny.
Ev... | Lucy is not wise. | contradiction | (![X]:(funny(X)=>(~kind(X)|humble(X))))&
(![X]:(happy(X)<=>(curious(X)<~>~strong(X))))&
((?[X]:((rich(X)|~happy(X))))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:((humble(X)|~wise(X))<=>generous(X)))&
((?[X]:(~generous(X)))=>(?[X]:((strong(X)&~funny(X)))))&
(![X]:((~funny(X)<~>old(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((~bra... | ~wise(lucy) | [
"p3",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3881876935036007033116991
% SZS output start Proof for 3881876935036007033116991
4. ! [X0] : ((~wise(X0) | humble(X0)) <=> generous(X0)) [input p3]
12. ! [X0] : ((~humble(X0) <~> ~calm(X0)) => ~funny(X0)) [input p11]
14. ! [X0] : (generous(X0) <=> (calm(X0) & funny(X0))) [input p13]
23. ~... | 0 |
If someone is not patient or generous then mary is not quiet or not humble. Everyone who is both wise and not happy is either old or not creative and vice versa. Everyone who is not quiet or not happy is both calm and creative. Everyone who is both patient and not generous is both quiet and not generous and vice versa.... | John is not quiet. | neutral | ((?[X]:((~patient(X)|generous(X))))=>((~quiet(mary)|~humble(mary))))&
(![X]:((wise(X)&~happy(X))<=>(old(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~happy(X))=>(calm(X)&creative(X))))&
(![X]:((patient(X)&~generous(X))<=>(quiet(X)&~generous(X))))&
(![X]:((curious(X)|~wise(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~quiet(X)<~>~ha... | ~quiet(john) | [] | null | 0 |
If someone is not creative then someone is both not kind and curious.
If someone is both quiet and not quiet then someone is both old and creative and vice versa.
If mary is either not strong or creative then someone is either kind or brave and vice versa.
If mary is not creative or not curious then someone is both not... | Paul is not strong. | neutral | ((?[X]:(~creative(X)))=>(?[X]:((~kind(X)&curious(X)))))&
((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((old(X)&creative(X)))))&
(((~strong(mary)<~>creative(mary)))<=>(?[X]:((kind(X)<~>brave(X)))))&
(((~creative(mary)|~curious(mary)))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((creat... | ~strong(paul) | [] | null | 0 |
Everyone who is generous is not kind or tall.
If someone is brave or creative then someone is both not funny and not happy.
If alice is both not curious and strong then someone is not generous.
Everyone who is both not happy and not wise is not old and vice versa.
If someone is calm then paul is not strong or wise and ... | Susan is wise. | contradiction | (![X]:(generous(X)=>(~kind(X)|tall(X))))&
((?[X]:((brave(X)|creative(X))))=>(?[X]:((~funny(X)&~happy(X)))))&
(((~curious(alice)&strong(alice)))=>(?[X]:(~generous(X))))&
(![X]:((~happy(X)&~wise(X))<=>~old(X)))&
((?[X]:(calm(X)))<=>((~strong(paul)|wise(paul))))&
(![X]:((happy(X)&~quiet(X))<=>wise(X)))&
((?[X]:((humble(X)... | wise(susan) | [
"p5",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7569237370244722942865628
% SZS output start Proof for 7569237370244722942865628
6. ! [X0] : ((~quiet(X0) & happy(X0)) <=> wise(X0)) [input p5]
13. ! [X0] : ((~kind(X0) | ~curious(X0)) => ~happy(X0)) [input p12]
18. ~wise(susan) <~> ~curious(susan) [input p17]
25. wise(susan) [input hypot... | 0 |
If someone is old then lucy is either calm or humble and vice versa.
Everyone who is either not curious or quiet is old and vice versa.
Everyone who is not curious or kind is not wise or not creative and vice versa.
Everyone who is not patient is not wise and vice versa.
Everyone who is either not tall or strong is tal... | Susan is kind. | entailment | ((?[X]:(old(X)))<=>((calm(lucy)<~>humble(lucy))))&
(![X]:((~curious(X)<~>quiet(X))<=>old(X)))&
(![X]:((~curious(X)|kind(X))<=>(~wise(X)|~creative(X))))&
(![X]:(~patient(X)<=>~wise(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(tall(X)|~patient(X))))&
(![X]:(happy(X)<=>(~humble(X)&humble(X))))&
(![X]:(strong(X)=>(patient(X)|~ha... | kind(susan) | [
"p3",
"p4",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8199213545664328118934164
% SZS output start Proof for 8199213545664328118934164
4. ! [X0] : (~patient(X0) <=> ~wise(X0)) [input p3]
5. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~patient(X0) | tall(X0))) [input p4]
10. strong(lucy) => (kind(susan) | ~funny(susan)) [input p9]
14. ! [X0] : ... | 0 |
If someone is humble or generous then alice is funny.
If someone is not funny then someone is rich or funny.
Everyone who is either generous or not calm is calm and vice versa.
Everyone who is calm is either not brave or brave and vice versa.
If paul is both not kind and not rich then someone is both calm and curious.
... | Paul is rich. | neutral | ((?[X]:((humble(X)|generous(X))))=>(funny(alice)))&
((?[X]:(~funny(X)))=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((generous(X)<~>~calm(X))<=>calm(X)))&
(![X]:(calm(X)<=>(~brave(X)<~>brave(X))))&
(((~kind(paul)&~rich(paul)))=>(?[X]:((calm(X)&curious(X)))))&
(((~creative(paul)<~>~humble(paul)))<=>((~kind(mary)&brave(mary))))... | rich(paul) | [] | null | 0 |
Everyone who is not calm is either humble or not quiet and vice versa.
If someone is either not quiet or humble then john is patient and vice versa.
If paul is either not funny or wise then someone is not curious and vice versa.
Everyone who is both not calm and generous is not strong and vice versa.
If fred is both no... | Fred is not creative. | neutral | (![X]:(~calm(X)<=>(humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(patient(john)))&
(((~funny(paul)<~>wise(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~calm(X)&generous(X))<=>~strong(X)))&
(((~creative(fred)&~generous(fred)))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:(~wise(X)<=>(tall(X)|~creative(X))))&
(... | ~creative(fred) | [] | null | 0 |
Everyone who is either wise or not old is either not old or not strong and vice versa.
If someone is both not old and creative then someone is brave.
If someone is either not strong or tall then mary is not funny and vice versa.
If someone is both not funny and not patient then someone is brave.
Everyone who is either ... | Paul is not quiet. | neutral | (![X]:((wise(X)<~>~old(X))<=>(~old(X)<~>~strong(X))))&
((?[X]:((~old(X)&creative(X))))=>(?[X]:(brave(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(~funny(mary)))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:(brave(X))))&
(![X]:((~brave(X)<~>old(X))=>~strong(X)))&
((?[X]:(~strong(X)))=>(?[X]:((patient(X)|~happy(X)))))&
((?[X]... | ~quiet(paul) | [] | null | 0 |
If someone is either calm or kind then john is both not kind and not creative and vice versa.
Everyone who is not quiet is not tall.
If someone is either not calm or calm then someone is calm.
If susan is both kind and not quiet then someone is not creative and vice versa.
Everyone who is not happy is either not calm o... | Susan is quiet. | contradiction | ((?[X]:((calm(X)<~>kind(X))))<=>((~kind(john)&~creative(john))))&
(![X]:(~quiet(X)=>~tall(X)))&
((?[X]:((~calm(X)<~>calm(X))))=>(?[X]:(calm(X))))&
(((kind(susan)&~quiet(susan)))<=>(?[X]:(~creative(X))))&
(![X]:(~happy(X)<=>(~calm(X)<~>~quiet(X))))&
(![X]:(generous(X)<=>(patient(X)&~creative(X))))&
(((~brave(alice)&brav... | quiet(susan) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7532727314468726828221985
% SZS output start Proof for 7532727314468726828221985
4. (~quiet(susan) & kind(susan)) <=> ? [X0] : ~creative(X0) [input p3]
9. ? [X0] : (creative(X0) | curious(X0)) <=> ? [X0] : ~creative(X0) [input p8]
25. quiet(susan) [input hypothesis]
27. ? [X0] : (creative... | 0 |
If someone is either creative or happy then susan is both kind and not brave and vice versa.
If someone is both not curious and not quiet then lucy is both creative and funny and vice versa.
Everyone who is either not happy or brave is both strong and not creative and vice versa.
If someone is both curious and kind the... | Paul is calm. | neutral | ((?[X]:((creative(X)<~>happy(X))))<=>((kind(susan)&~brave(susan))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((creative(lucy)&funny(lucy))))&
(![X]:((~happy(X)<~>brave(X))<=>(strong(X)&~creative(X))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((~humble(X)|~happy(X)))))&
(![X]:((~rich(X)|~wise(X))<=>(quiet(X)|creative(X))))&
... | calm(paul) | [] | null | 0 |
Everyone who is calm or not old is either not strong or not generous and vice versa.
If someone is wise then lucy is tall.
If alice is both patient and happy then fred is not generous.
If john is both not kind and happy then someone is brave or calm and vice versa.
If lucy is not generous or humble then someone is not ... | Susan is generous. | entailment | (![X]:((calm(X)|~old(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:(wise(X)))=>(tall(lucy)))&
(((patient(alice)&happy(alice)))=>(~generous(fred)))&
(((~kind(john)&happy(john)))<=>(?[X]:((brave(X)|calm(X)))))&
(((~generous(lucy)|humble(lucy)))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((generous(X)&~creative(X))=>~generou... | generous(susan) | [
"p0",
"p3",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8939465542350512637311773
% SZS output start Proof for 8939465542350512637311773
1. ! [X0] : ((~old(X0) | calm(X0)) <=> (~strong(X0) <~> ~generous(X0))) [input p0]
4. (happy(john) & ~kind(john)) <=> ? [X0] : (calm(X0) | brave(X0)) [input p3]
7. ! [X0] : ((kind(X0) | tall(X0)) <=> (~patien... | 0 |
Everyone who is kind or not humble is both not quiet and calm and vice versa.
If someone is both brave and calm then mary is patient or not generous and vice versa.
Everyone who is not old or not humble is not tall or happy and vice versa.
Everyone who is both curious and quiet is not brave.
Everyone who is not old is ... | Fred is not brave. | neutral | (![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(X))))&
((?[X]:((brave(X)|~creative(X))))<=>((brave(susan)&~kind(susan))... | ~brave(fred) | [] | null | 0 |
Everyone who is rich or not curious is either not wise or quiet and vice versa.
Everyone who is either not generous or brave is both not curious and wise and vice versa.
Everyone who is both wise and not generous is humble or wise.
Everyone who is either curious or not rich is either quiet or happy and vice versa.
If j... | John is humble. | neutral | (![X]:((rich(X)|~curious(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~generous(X)<~>brave(X))<=>(~curious(X)&wise(X))))&
(![X]:((wise(X)&~generous(X))=>(humble(X)|wise(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(quiet(X)<~>happy(X))))&
(((~humble(john)&~tall(john)))=>(?[X]:(kind(X))))&
(![X]:((calm(X)&~funny(X))<=>(happy(X)|~g... | humble(john) | [] | null | 0 |
Everyone who is either patient or brave is not humble and vice versa.
If susan is either creative or not creative then someone is tall and vice versa.
If mary is creative or not creative then john is curious or not patient.
Everyone who is either curious or not calm is both generous and humble.
If someone is both creat... | Lucy is rich. | entailment | (![X]:((patient(X)<~>brave(X))<=>~humble(X)))&
(((creative(susan)<~>~creative(susan)))<=>(?[X]:(tall(X))))&
(((creative(mary)|~creative(mary)))=>((curious(john)|~patient(john))))&
(![X]:((curious(X)<~>~calm(X))=>(generous(X)&humble(X))))&
((?[X]:((creative(X)&wise(X))))<=>(?[X]:((~happy(X)&generous(X)))))&
((old(alice)... | rich(lucy) | [
"p0",
"p3",
"p4",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1122480556279931032177459
% SZS output start Proof for 1122480556279931032177459
1. ! [X0] : ((patient(X0) <~> brave(X0)) <=> ~humble(X0)) [input p0]
4. ! [X0] : ((curious(X0) <~> ~calm(X0)) => (humble(X0) & generous(X0))) [input p3]
5. ? [X0] : (wise(X0) & creative(X0)) <=> ? [X0] : (gen... | 0 |
If john is not rich then alice is not quiet.
Everyone who is not quiet is not generous.
Everyone who is not calm or not curious is both wise and not wise.
If mary is either not rich or curious then someone is either brave or happy.
Everyone who is either not brave or curious is both strong and kind.
Everyone who is not... | Mary is not tall. | entailment | ((~rich(john))=>(~quiet(alice)))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((~calm(X)|~curious(X))=>(wise(X)&~wise(X))))&
(((~rich(mary)<~>curious(mary)))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>curious(X))=>(strong(X)&kind(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
(((brave(john)&calm(john)))=>(?[X... | ~tall(mary) | [
"p1",
"p2",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2420102143473636191739643
% SZS output start Proof for 2420102143473636191739643
2. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p1]
3. ! [X0] : ((~curious(X0) | ~calm(X0)) => (~wise(X0) & wise(X0))) [input p2]
10. ! [X0] : ((rich(X0) <~> ~tall(X0)) <=> (generous(X0) <~> ~rich(X0))) [inp... | 0 |
If mary is not funny or not calm then someone is wise.
If someone is either quiet or old then fred is either calm or quiet.
If mary is not curious or quiet then alice is not tall or wise.
If paul is both rich and quiet then lucy is not strong and vice versa.
Everyone who is both brave and not humble is either not old o... | John is generous. | contradiction | (((~funny(mary)|~calm(mary)))=>(?[X]:(wise(X))))&
((?[X]:((quiet(X)<~>old(X))))=>((calm(fred)<~>quiet(fred))))&
(((~curious(mary)|quiet(mary)))=>((~tall(alice)|wise(alice))))&
(((rich(paul)&quiet(paul)))<=>(~strong(lucy)))&
(![X]:((brave(X)&~humble(X))<=>(~old(X)<~>~funny(X))))&
(![X]:((rich(X)&~kind(X))=>(~wise(X)|hap... | generous(john) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5494098671415980103371993
% SZS output start Proof for 5494098671415980103371993
9. ? [X0] : (quiet(X0) | ~tall(X0)) => ? [X0] : generous(X0) [input p8]
16. ~generous(john) <=> ? [X0] : (generous(X0) | tall(X0)) [input p15]
25. generous(john) [input hypothesis]
26. ? [X0] : (quiet(X0) | ~... | 0 |
Everyone who is not brave or not creative is both strong and humble and vice versa. Everyone who is brave or not wise is quiet or kind. If someone is not kind or not humble then lucy is curious or not old and vice versa. If someone is both generous and not creative then someone is not old. If someone is rich then alice... | Paul is old. | entailment | (![X]:((~brave(X)|~creative(X))<=>(strong(X)&humble(X))))&
(![X]:((brave(X)|~wise(X))=>(quiet(X)|kind(X))))&
((?[X]:((~kind(X)|~humble(X))))<=>((curious(lucy)|~old(lucy))))&
((?[X]:((generous(X)&~creative(X))))=>(?[X]:(~old(X))))&
((?[X]:(rich(X)))<=>((humble(alice)&strong(alice))))&
((?[X]:(brave(X)))=>(?[X]:((~genero... | old(paul) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7720552250546244543544519
% SZS output start Proof for 7720552250546244543544519
10. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> ~funny(X0)) [input p9]
13. ! [X0] : ((~funny(X0) | ~strong(X0)) => (patient(X0) & old(X0))) [input p12]
22. ~old(paul) [input hypothesis]
37. ! [X0] : ((patient(... | 0 |
Everyone who is not generous is not curious and vice versa.
If susan is not tall then someone is tall or not old and vice versa.
If john is not curious or not creative then someone is either generous or tall and vice versa.
Everyone who is patient or not rich is not brave or not curious and vice versa.
If someone is ca... | Paul is not rich. | entailment | (![X]:(~generous(X)<=>~curious(X)))&
((~tall(susan))<=>(?[X]:((tall(X)|~old(X)))))&
(((~curious(john)|~creative(john)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((patient(X)|~rich(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((strong(X)|~creative(X))<=>(~creat... | ~rich(paul) | [
"p0",
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4674238452360612543836571
% SZS output start Proof for 4674238452360612543836571
1. ! [X0] : (~generous(X0) <=> ~curious(X0)) [input p0]
4. ! [X0] : ((~rich(X0) | patient(X0)) <=> (~curious(X0) | ~brave(X0))) [input p3]
12. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~patient(X0) & ~cal... | 0 |
If alice is both not kind and not curious then john is either quiet or wise.
Everyone who is wise is patient.
If fred is both generous and not happy then someone is not humble or humble and vice versa.
If someone is not generous then someone is both not tall and not brave and vice versa.
If susan is wise then alice is ... | Mary is rich. | neutral | (((~kind(alice)&~curious(alice)))=>((quiet(john)<~>wise(john))))&
(![X]:(wise(X)=>patient(X)))&
(((generous(fred)&~happy(fred)))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~tall(X)&~brave(X)))))&
((wise(susan))<=>((patient(alice)|~calm(alice))))&
(![X]:((~happy(X)&~tall(X))=>(strong(X)&~genero... | rich(mary) | [] | null | 0 |
Everyone who is either brave or not creative is tall or not wise and vice versa.
Everyone who is not happy is either patient or kind and vice versa.
If someone is wise then paul is both not patient and wise and vice versa.
If alice is both not kind and not funny then someone is not creative or funny and vice versa.
Eve... | Mary is kind. | neutral | (![X]:((brave(X)<~>~creative(X))<=>(tall(X)|~wise(X))))&
(![X]:(~happy(X)<=>(patient(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>((~patient(paul)&wise(paul))))&
(((~kind(alice)&~funny(alice)))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((~kind(X)&tall(X))<=>(generous(X)&~tall(X))))&
(![X]:((~generous(X)&rich(X))=>(strong(X)<~... | kind(mary) | [] | null | 0 |
If someone is happy then john is either funny or wise and vice versa.
Everyone who is tall or not generous is kind and vice versa.
If paul is brave or not old then someone is not curious or not creative.
Everyone who is not kind is either not kind or not old.
Everyone who is both not quiet and humble is both patient an... | Mary is wise. | contradiction | ((?[X]:(happy(X)))<=>((funny(john)<~>wise(john))))&
(![X]:((tall(X)|~generous(X))<=>kind(X)))&
(((brave(paul)|~old(paul)))=>(?[X]:((~curious(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~kind(X)<~>~old(X))))&
(![X]:((~quiet(X)&humble(X))<=>(patient(X)&~patient(X))))&
(![X]:(~strong(X)<=>(generous(X)&~calm(X))))&
(![X]:((pati... | wise(mary) | [
"p1",
"p5",
"p6",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5952604870493836264173489
% SZS output start Proof for 5952604870493836264173489
2. ! [X0] : ((~generous(X0) | tall(X0)) <=> kind(X0)) [input p1]
6. ! [X0] : (~strong(X0) <=> (~calm(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~patient(X0) | patient(X0)) => strong(X0)) [input p6]
13. ! [... | 0 |
If mary is generous or tall then paul is both creative and not tall. If someone is both not brave and not tall then john is either rich or not kind. Everyone who is both not wise and old is both kind and not old. If alice is either patient or funny then fred is both calm and tall. Everyone who is either not calm or not... | Mary is not generous. | entailment | (((generous(mary)|tall(mary)))=>((creative(paul)&~tall(paul))))&
((?[X]:((~brave(X)&~tall(X))))=>((rich(john)<~>~kind(john))))&
(![X]:((~wise(X)&old(X))=>(kind(X)&~old(X))))&
(((patient(alice)<~>funny(alice)))=>((calm(fred)&tall(fred))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~generous(X)|brave(X))))&
((?[X]:((rich(X)&~gene... | ~generous(mary) | [
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 532257562690902831522577
% SZS output start Proof for 532257562690902831522577
9. ! [X0] : ((tall(X0) | generous(X0)) => wise(X0)) [input p8]
11. ! [X0] : ((~patient(X0) & ~rich(X0)) <=> (wise(X0) | ~quiet(X0))) [input p10]
13. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (generous(X0) | ~brav... | 0 |
Everyone who is both kind and old is both old and not kind and vice versa.
Everyone who is both quiet and patient is either not generous or happy.
Everyone who is either not patient or not curious is both curious and not generous.
Everyone who is not happy or happy is funny and vice versa.
If someone is both not creati... | Paul is not quiet. | entailment | (![X]:((kind(X)&old(X))<=>(old(X)&~kind(X))))&
(![X]:((quiet(X)&patient(X))=>(~generous(X)<~>happy(X))))&
(![X]:((~patient(X)<~>~curious(X))=>(curious(X)&~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>funny(X)))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(((~kind(paul)&~strong(paul)))<=>... | ~quiet(paul) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8844890114314808939860103
% SZS output start Proof for 8844890114314808939860103
4. ! [X0] : ((happy(X0) | ~happy(X0)) <=> funny(X0)) [input p3]
10. ! [X0] : ((quiet(X0) & happy(X0)) <=> (~funny(X0) | ~happy(X0))) [input p9]
24. quiet(paul) [input hypothesis]
43. ! [X0] : (((happy(X0) | ~... | 0 |
Everyone who is not old is both not quiet and generous.
Everyone who is either calm or not creative is not brave or generous.
If someone is both humble and not quiet then lucy is either old or not funny and vice versa.
Everyone who is not calm is not strong.
If someone is not rich or curious then alice is not patient o... | Fred is curious. | neutral | (![X]:(~old(X)=>(~quiet(X)&generous(X))))&
(![X]:((calm(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:((humble(X)&~quiet(X))))<=>((old(lucy)<~>~funny(lucy))))&
(![X]:(~calm(X)=>~strong(X)))&
((?[X]:((~rich(X)|curious(X))))=>((~patient(alice)|tall(alice))))&
(![X]:(~humble(X)=>(humble(X)&generous(X))))&
(![X]:(~... | curious(fred) | [] | null | 0 |
If lucy is not tall then lucy is either not humble or calm and vice versa.
Everyone who is patient is not creative or not patient and vice versa.
Everyone who is either not happy or kind is kind and vice versa.
If someone is either happy or not old then someone is either not old or not brave and vice versa.
Everyone wh... | Susan is wise. | entailment | ((~tall(lucy))<=>((~humble(lucy)<~>calm(lucy))))&
(![X]:(patient(X)<=>(~creative(X)|~patient(X))))&
(![X]:((~happy(X)<~>kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X... | wise(susan) | [
"p1",
"p2",
"p6",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8199401770604387838370329
% SZS output start Proof for 8199401770604387838370329
2. ! [X0] : (patient(X0) <=> (~patient(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) <~> kind(X0)) <=> kind(X0)) [input p2]
7. ! [X0] : ((rich(X0) <~> ~happy(X0)) => (~old(X0) <~> brave(X0))) [inp... | 0 |
If fred is either rich or calm then fred is either not happy or not quiet.
If someone is not calm or patient then someone is both calm and not wise and vice versa.
Everyone who is either humble or tall is quiet or not brave and vice versa.
If mary is either not quiet or kind then paul is not tall or not patient.
If pau... | Fred is not quiet. | entailment | (((rich(fred)<~>calm(fred)))=>((~happy(fred)<~>~quiet(fred))))&
((?[X]:((~calm(X)|patient(X))))<=>(?[X]:((calm(X)&~wise(X)))))&
(![X]:((humble(X)<~>tall(X))<=>(quiet(X)|~brave(X))))&
(((~quiet(mary)<~>kind(mary)))=>((~tall(paul)|~patient(paul))))&
(((happy(paul)&~generous(paul)))=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:... | ~quiet(fred) | [
"p2",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3122224465865865704395863
% SZS output start Proof for 3122224465865865704395863
3. ! [X0] : ((humble(X0) <~> tall(X0)) <=> (~brave(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((old(X0) | ~brave(X0)) <=> (brave(X0) & ~generous(X0))) [input p6]
8. ! [X0] : (humble(X0) => (quiet(X0) <~> ~tall(... | 0 |
Everyone who is not wise or creative is either generous or old and vice versa. Everyone who is strong or wise is either not brave or quiet and vice versa. Everyone who is kind or happy is not strong. Everyone who is not strong is both wise and not kind and vice versa. Everyone who is both brave and patient is not curio... | Mary is patient. | neutral | (![X]:((~wise(X)|creative(X))<=>(generous(X)<~>old(X))))&
(![X]:((strong(X)|wise(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:((kind(X)|happy(X))=>~strong(X)))&
(![X]:(~strong(X)<=>(wise(X)&~kind(X))))&
(![X]:((brave(X)&patient(X))<=>~curious(X)))&
((?[X]:((kind(X)&rich(X))))=>((~patient(mary)&happy(mary))))&
(![X]:(funny(X)<... | patient(mary) | [] | null | 0 |
Everyone who is not humble or not generous is tall or generous.
If john is funny then someone is not tall or not strong.
If someone is not creative then fred is not curious and vice versa.
If fred is both not funny and not tall then paul is both not kind and kind and vice versa.
Everyone who is not humble or not patien... | Paul is not wise. | entailment | (![X]:((~humble(X)|~generous(X))=>(tall(X)|generous(X))))&
((funny(john))=>(?[X]:((~tall(X)|~strong(X)))))&
((?[X]:(~creative(X)))<=>(~curious(fred)))&
(((~funny(fred)&~tall(fred)))<=>((~kind(paul)&kind(paul))))&
(![X]:((~humble(X)|~patient(X))=>(humble(X)|rich(X))))&
(![X]:((patient(X)&~quiet(X))=>(~creative(X)|curiou... | ~wise(paul) | [
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8250975170561103611251834
% SZS output start Proof for 8250975170561103611251834
9. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> ~happy(X0)) [input p8]
13. ! [X0] : ((~humble(X0) <~> ~old(X0)) <=> (~humble(X0) | happy(X0))) [input p12]
15. ! [X0] : ((wise(X0) | ~quiet(X0)) => ~old(X0)) [inp... | 0 |
If fred is not patient then paul is calm or not kind and vice versa. If mary is rich then susan is tall or not calm. Everyone who is not funny is either not tall or rich and vice versa. Everyone who is not creative or not funny is not curious and vice versa. Everyone who is either brave or not curious is either not tal... | Paul is funny. | entailment | ((~patient(fred))<=>((calm(paul)|~kind(paul))))&
((rich(mary))=>((tall(susan)|~calm(susan))))&
(![X]:(~funny(X)<=>(~tall(X)<~>rich(X))))&
(![X]:((~creative(X)|~funny(X))<=>~curious(X)))&
(![X]:((brave(X)<~>~curious(X))<=>(~tall(X)<~>rich(X))))&
((?[X]:(strong(X)))=>((~strong(mary)&calm(mary))))&
(((~happy(alice)|wise(a... | funny(paul) | [
"p2",
"p3",
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1485380837391932894178508
% SZS output start Proof for 1485380837391932894178508
3. ! [X0] : (~funny(X0) <=> (~tall(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((~funny(X0) | ~creative(X0)) <=> ~curious(X0)) [input p3]
5. ! [X0] : ((brave(X0) <~> ~curious(X0)) <=> (~tall(X0) <~> rich(X0))) ... | 0 |
If mary is both quiet and creative then someone is both not funny and not happy.
Everyone who is brave or curious is patient or not funny.
Everyone who is either not old or creative is either quiet or kind and vice versa.
Everyone who is curious is not quiet or not tall and vice versa.
If mary is calm then someone is e... | John is not happy. | neutral | (((quiet(mary)&creative(mary)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((brave(X)|curious(X))=>(patient(X)|~funny(X))))&
(![X]:((~old(X)<~>creative(X))<=>(quiet(X)<~>kind(X))))&
(![X]:(curious(X)<=>(~quiet(X)|~tall(X))))&
((calm(mary))=>(?[X]:((~funny(X)<~>~tall(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(curious(X)&patien... | ~happy(john) | [] | null | 0 |
If someone is not creative then someone is not kind.
If susan is rich then someone is either funny or brave.
If mary is both strong and not happy then mary is not rich and vice versa.
If someone is either not brave or not strong then someone is not humble and vice versa.
Everyone who is not calm or not patient is eithe... | Paul is not kind. | neutral | ((?[X]:(~creative(X)))=>(?[X]:(~kind(X))))&
((rich(susan))=>(?[X]:((funny(X)<~>brave(X)))))&
(((strong(mary)&~happy(mary)))<=>(~rich(mary)))&
((?[X]:((~brave(X)<~>~strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~calm(X)|~patient(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:(patient(X)<=>~happy(X)))&... | ~kind(paul) | [] | null | 0 |
If someone is curious or not creative then fred is both not strong and brave and vice versa. If lucy is both rich and funny then paul is not humble or not generous. If lucy is both not calm and creative then john is not humble or not wise and vice versa. Everyone who is creative is not tall or not rich. If someone is p... | John is not humble. | contradiction | ((?[X]:((curious(X)|~creative(X))))<=>((~strong(fred)&brave(fred))))&
(((rich(lucy)&funny(lucy)))=>((~humble(paul)|~generous(paul))))&
(((~calm(lucy)&creative(lucy)))<=>((~humble(john)|~wise(john))))&
(![X]:(creative(X)=>(~tall(X)|~rich(X))))&
((?[X]:((patient(X)|~creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)<... | ~humble(john) | [
"p5",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6330674842743072161712085
% SZS output start Proof for 6330674842743072161712085
6. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> ~brave(X0)) [input p5]
11. ! [X0] : ((~wise(X0) <~> humble(X0)) <=> (wise(X0) | ~generous(X0))) [input p10]
15. ! [X0] : ((~creative(X0) | funny(X0)) <=> ~old(X0))... | 0 |
Everyone who is either not brave or not strong is both quiet and not strong and vice versa.
Everyone who is strong is either not rich or not happy.
Everyone who is strong or not humble is not patient.
Everyone who is strong is not creative or humble and vice versa.
Everyone who is not strong or happy is both funny and ... | Lucy is not strong. | contradiction | (![X]:((~brave(X)<~>~strong(X))<=>(quiet(X)&~strong(X))))&
(![X]:(strong(X)=>(~rich(X)<~>~happy(X))))&
(![X]:((strong(X)|~humble(X))=>~patient(X)))&
(![X]:(strong(X)<=>(~creative(X)|humble(X))))&
(![X]:((~strong(X)|happy(X))=>(funny(X)&~patient(X))))&
((?[X]:(~quiet(X)))=>(curious(mary)))&
(((~generous(mary)<~>patient(... | ~strong(lucy) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5668376350475868051679132
% SZS output start Proof for 5668376350475868051679132
1. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> (~strong(X0) & quiet(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | strong(X0)) => ~patient(X0)) [input p2]
5. ! [X0] : ((happy(X0) | ~strong(X0)) => (~patient(X0) ... | 0 |
Everyone who is either calm or strong is not rich.
If someone is both curious and not generous then someone is either not strong or calm.
If someone is both strong and wise then someone is both curious and not funny.
Everyone who is either not kind or happy is creative or not wise and vice versa.
If susan is quiet then... | Alice is not kind. | neutral | (![X]:((calm(X)<~>strong(X))=>~rich(X)))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((curious(X)&~funny(X)))))&
(![X]:((~kind(X)<~>happy(X))<=>(creative(X)|~wise(X))))&
((quiet(susan))=>(?[X]:((~funny(X)&~patient(X)))))&
((?[X]:(~strong(X)))<=>((~calm(al... | ~kind(alice) | [] | null | 0 |
Everyone who is both strong and not tall is generous. If fred is either not generous or quiet then lucy is not strong. Everyone who is either not creative or humble is either quiet or not patient and vice versa. If someone is either strong or not curious then john is not strong and vice versa. If someone is not kind or... | John is not tall. | entailment | (![X]:((strong(X)&~tall(X))=>generous(X)))&
(((~generous(fred)<~>quiet(fred)))=>(~strong(lucy)))&
(![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(~strong(john)))&
((?[X]:((~kind(X)|~patient(X))))=>((~rich(lucy)&tall(lucy))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?... | ~tall(john) | [
"p2",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7719999240226537717808615
% SZS output start Proof for 7719999240226537717808615
3. ! [X0] : ((~creative(X0) <~> humble(X0)) <=> (quiet(X0) <~> ~patient(X0))) [input p2]
13. (~wise(mary) & ~old(mary)) <=> ? [X0] : tall(X0) [input p12]
14. ! [X0] : (patient(X0) <=> (~creative(X0) <~> old(X... | 0 |
Everyone who is not quiet is kind and vice versa.
If paul is not strong or funny then susan is not rich or not tall and vice versa.
If someone is both not happy and generous then susan is not calm or patient and vice versa.
Everyone who is rich or creative is both not strong and not wise.
Everyone who is not happy is b... | Susan is not strong. | entailment | (![X]:(~quiet(X)<=>kind(X)))&
(((~strong(paul)|funny(paul)))<=>((~rich(susan)|~tall(susan))))&
((?[X]:((~happy(X)&generous(X))))<=>((~calm(susan)|patient(susan))))&
(![X]:((rich(X)|creative(X))=>(~strong(X)&~wise(X))))&
(![X]:(~happy(X)<=>(~generous(X)&~brave(X))))&
(![X]:((~kind(X)<~>~tall(X))=>(creative(X)|~patient(X... | ~strong(susan) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5506008038885651939921874
% SZS output start Proof for 5506008038885651939921874
4. ! [X0] : ((creative(X0) | rich(X0)) => (~wise(X0) & ~strong(X0))) [input p3]
13. ! [X0] : ((happy(X0) | ~creative(X0)) <=> (~rich(X0) & ~strong(X0))) [input p12]
25. strong(susan) [input hypothesis]
27. ! ... | 0 |
If mary is brave then someone is not happy or not calm and vice versa.
Everyone who is not creative or not wise is both not old and happy and vice versa.
Everyone who is either not strong or generous is not patient.
If someone is patient or calm then someone is old.
Everyone who is calm or strong is kind and vice versa... | Susan is not patient. | entailment | ((brave(mary))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:((~creative(X)|~wise(X))<=>(~old(X)&happy(X))))&
(![X]:((~strong(X)<~>generous(X))=>~patient(X)))&
((?[X]:((patient(X)|calm(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)|strong(X))<=>kind(X)))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(((kind... | ~patient(susan) | [
"p4",
"p6",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3969063626337065602929584
% SZS output start Proof for 3969063626337065602929584
5. ! [X0] : ((strong(X0) | calm(X0)) <=> kind(X0)) [input p4]
7. (tall(susan) | kind(susan)) <=> ~strong(susan) [input p6]
9. ! [X0] : ((strong(X0) | ~humble(X0)) => (~calm(X0) & quiet(X0))) [input p8]
11. ! ... | 0 |
Everyone who is rich or not wise is curious or rich. Everyone who is either kind or not humble is not funny or tall and vice versa. Everyone who is either strong or not calm is both not wise and quiet. Everyone who is not creative or patient is calm or funny. If someone is old then paul is either not rich or curious an... | Alice is not generous. | neutral | (![X]:((rich(X)|~wise(X))=>(curious(X)|rich(X))))&
(![X]:((kind(X)<~>~humble(X))<=>(~funny(X)|tall(X))))&
(![X]:((strong(X)<~>~calm(X))=>(~wise(X)&quiet(X))))&
(![X]:((~creative(X)|patient(X))=>(calm(X)|funny(X))))&
((?[X]:(old(X)))<=>((~rich(paul)<~>curious(paul))))&
(![X]:((~kind(X)&~creative(X))=>~strong(X)))&
(![X]... | ~generous(alice) | [] | null | 0 |
Everyone who is not patient or wise is both old and not rich. Everyone who is not humble or quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. ... | Alice is not creative. | neutral | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(... | ~creative(alice) | [] | null | 0 |
Everyone who is strong or quiet is humble. Everyone who is both creative and not kind is not patient or not funny and vice versa. Everyone who is either humble or tall is either not humble or humble and vice versa. If alice is not humble then someone is either not humble or wise and vice versa. Everyone who is old is b... | Fred is not quiet. | entailment | (![X]:((strong(X)|quiet(X))=>humble(X)))&
(![X]:((creative(X)&~kind(X))<=>(~patient(X)|~funny(X))))&
(![X]:((humble(X)<~>tall(X))<=>(~humble(X)<~>humble(X))))&
((~humble(alice))<=>(?[X]:((~humble(X)<~>wise(X)))))&
(![X]:(old(X)=>(kind(X)&wise(X))))&
(![X]:((kind(X)<~>creative(X))<=>(~brave(X)|quiet(X))))&
(![X]:((~quie... | ~quiet(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3423858158034519659684978
% SZS output start Proof for 3423858158034519659684978
7. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> ~old(X0)) [input p6]
25. quiet(fred) [input hypothesis]
45. ! [X0] : ((((~old(X0) | quiet(X0)) & (old(X0) | ~quiet(X0))) | old(X0)) & (~old(X0) | ((~quiet(X0) | ~old(... | 0 |
Everyone who is not generous or creative is not quiet and vice versa.
If someone is both brave and rich then john is old.
If alice is both patient and kind then john is either not old or not quiet.
If mary is not wise or not patient then susan is old or brave.
If alice is funny or not curious then someone is not wise a... | Susan is not generous. | neutral | (![X]:((~generous(X)|creative(X))<=>~quiet(X)))&
((?[X]:((brave(X)&rich(X))))=>(old(john)))&
(((patient(alice)&kind(alice)))=>((~old(john)<~>~quiet(john))))&
(((~wise(mary)|~patient(mary)))=>((old(susan)|brave(susan))))&
(((funny(alice)|~curious(alice)))<=>(?[X]:(~wise(X))))&
(![X]:((generous(X)&~tall(X))<=>patient(X))... | ~generous(susan) | [] | null | 0 |
Everyone who is either not curious or wise is strong and vice versa.
Everyone who is both funny and not quiet is not old and vice versa.
If someone is both not old and not curious then someone is either not calm or not quiet and vice versa.
Everyone who is both wise and happy is patient or not creative and vice versa.
... | Fred is not generous. | entailment | (![X]:((~curious(X)<~>wise(X))<=>strong(X)))&
(![X]:((funny(X)&~quiet(X))<=>~old(X)))&
((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~calm(X)<~>~quiet(X)))))&
(![X]:((wise(X)&happy(X))<=>(patient(X)|~creative(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:(generous(X))))&... | ~generous(fred) | [
"p1",
"p5",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4707381563608957919550990
% SZS output start Proof for 4707381563608957919550990
2. ! [X0] : ((~quiet(X0) & funny(X0)) <=> ~old(X0)) [input p1]
6. ? [X0] : (brave(X0) | ~old(X0)) <=> ? [X0] : generous(X0) [input p5]
10. ! [X0] : (~wise(X0) <=> (old(X0) <~> ~funny(X0))) [input p9]
13. ! [X... | 0 |
Everyone who is not wise is kind.
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creativ... | Paul is not happy. | entailment | (![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]... | ~happy(paul) | [
"p0",
"p4",
"p6",
"p7",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8106856763594842066927809
% SZS output start Proof for 8106856763594842066927809
1. ! [X0] : (~wise(X0) => kind(X0)) [input p0]
5. ! [X0] : ((~calm(X0) | ~quiet(X0)) => (~wise(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~old(X0) & ~kind(X0))) [input p6]
8.... | 0 |
If someone is both not curious and not quiet then susan is either not kind or not wise and vice versa.
Everyone who is both creative and humble is both not quiet and not funny.
Everyone who is both curious and not curious is brave or not old.
Everyone who is not strong is both kind and generous.
If someone is both funn... | Susan is strong. | entailment | ((?[X]:((~curious(X)&~quiet(X))))<=>((~kind(susan)<~>~wise(susan))))&
(![X]:((creative(X)&humble(X))=>(~quiet(X)&~funny(X))))&
(![X]:((curious(X)&~curious(X))=>(brave(X)|~old(X))))&
(![X]:(~strong(X)=>(kind(X)&generous(X))))&
((?[X]:((funny(X)&~strong(X))))=>((~kind(lucy)<~>tall(lucy))))&
((?[X]:(quiet(X)))=>((funny(ma... | strong(susan) | [
"p3",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8883266986240810032581778
% SZS output start Proof for 8883266986240810032581778
4. ! [X0] : (~strong(X0) => (generous(X0) & kind(X0))) [input p3]
11. ! [X0] : ((funny(X0) | ~humble(X0)) <=> (~patient(X0) <~> ~humble(X0))) [input p10]
13. ! [X0] : ((~patient(X0) & quiet(X0)) <=> (~kind(X0... | 0 |
Everyone who is funny or not calm is not happy or not wise.
Everyone who is not humble is rich and vice versa.
If alice is rich then susan is wise or not quiet.
If alice is both not funny and quiet then someone is either funny or wise.
If susan is not wise then mary is kind and vice versa.
Everyone who is both not wise... | Susan is not happy. | neutral | (![X]:((funny(X)|~calm(X))=>(~happy(X)|~wise(X))))&
(![X]:(~humble(X)<=>rich(X)))&
((rich(alice))=>((wise(susan)|~quiet(susan))))&
(((~funny(alice)&quiet(alice)))=>(?[X]:((funny(X)<~>wise(X)))))&
((~wise(susan))<=>(kind(mary)))&
(![X]:((~wise(X)&calm(X))<=>~old(X)))&
((?[X]:((humble(X)<~>~patient(X))))<=>(?[X]:((happy(... | ~happy(susan) | [] | null | 0 |
Everyone who is both happy and not tall is not humble. If someone is happy then someone is both not patient and not wise and vice versa. Everyone who is not generous is both not tall and strong. Everyone who is either happy or not quiet is not tall and vice versa. Everyone who is both not old and strong is wise. Everyo... | Paul is patient. | entailment | (![X]:((happy(X)&~tall(X))=>~humble(X)))&
((?[X]:(happy(X)))<=>(?[X]:((~patient(X)&~wise(X)))))&
(![X]:(~generous(X)=>(~tall(X)&strong(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>~tall(X)))&
(![X]:((~old(X)&strong(X))=>wise(X)))&
(![X]:(quiet(X)<=>(~quiet(X)&~creative(X))))&
((?[X]:(rich(X)))=>((curious(paul)&calm(paul))))&... | patient(paul) | [
"p5",
"p11",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5606878472520667692241737
% SZS output start Proof for 5606878472520667692241737
6. ! [X0] : (quiet(X0) <=> (~creative(X0) & ~quiet(X0))) [input p5]
12. ! [X0] : (calm(X0) <=> patient(X0)) [input p11]
20. old(paul) <~> quiet(paul) [input p19]
22. calm(paul) | ~old(paul) [input p21]
23. ~p... | 0 |
If paul is both not patient and calm then fred is not humble.
If susan is not curious or quiet then someone is patient or strong.
Everyone who is not wise is not generous or not old.
Everyone who is kind or strong is both not wise and patient and vice versa.
Everyone who is either strong or wise is tall or not humble.
... | Lucy is rich. | entailment | (((~patient(paul)&calm(paul)))=>(~humble(fred)))&
(((~curious(susan)|quiet(susan)))=>(?[X]:((patient(X)|strong(X)))))&
(![X]:(~wise(X)=>(~generous(X)|~old(X))))&
(![X]:((kind(X)|strong(X))<=>(~wise(X)&patient(X))))&
(![X]:((strong(X)<~>wise(X))=>(tall(X)|~humble(X))))&
(![X]:(humble(X)<=>(brave(X)|rich(X))))&
(![X]:(ki... | rich(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2396153050436502031266656
% SZS output start Proof for 2396153050436502031266656
18. rich(lucy) & ~tall(lucy) [input p17]
25. ~rich(lucy) [input hypothesis]
138. rich(lucy) [cnf transformation 18]
148. ~rich(lucy) [cnf transformation 25]
290. $false [subsumption resolution 148,138]
% SZS ... | 0 |
Everyone who is both not wise and not brave is not quiet or not old and vice versa.
If lucy is either not strong or quiet then someone is either brave or not generous.
Everyone who is not creative or not strong is quiet and vice versa.
Everyone who is either not brave or strong is not calm.
If someone is either not kin... | Fred is calm. | contradiction | (![X]:((~wise(X)&~brave(X))<=>(~quiet(X)|~old(X))))&
(((~strong(lucy)<~>quiet(lucy)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~creative(X)|~strong(X))<=>quiet(X)))&
(![X]:((~brave(X)<~>strong(X))=>~calm(X)))&
((?[X]:((~kind(X)<~>~patient(X))))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((~old(X)|brave(X))<=>(~t... | calm(fred) | [
"p3",
"p12",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 865141273163364241901199
% SZS output start Proof for 865141273163364241901199
4. ! [X0] : ((~brave(X0) <~> strong(X0)) => ~calm(X0)) [input p3]
13. ! [X0] : (~curious(X0) => ~calm(X0)) [input p12]
14. ~calm(fred) <=> ? [X0] : (calm(X0) <~> ~brave(X0)) [input p13]
19. ~strong(alice) <~> ~... | 0 |
If mary is both kind and old then alice is not rich or not kind. Everyone who is brave is either old or not rich. If alice is both not calm and quiet then someone is both brave and not brave and vice versa. If someone is either not kind or not happy then alice is old. Everyone who is both happy and not old is not kind.... | Susan is not creative. | neutral | (((kind(mary)&old(mary)))=>((~rich(alice)|~kind(alice))))&
(![X]:(brave(X)=>(old(X)<~>~rich(X))))&
(((~calm(alice)&quiet(alice)))<=>(?[X]:((brave(X)&~brave(X)))))&
((?[X]:((~kind(X)<~>~happy(X))))=>(old(alice)))&
(![X]:((happy(X)&~old(X))=>~kind(X)))&
(![X]:((~funny(X)&rich(X))=>(generous(X)|~kind(X))))&
(![X]:((~stron... | ~creative(susan) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either quiet or not kind is quiet or kind. If alice is not patient then mary is either creative or not brave. Everyone who is both t... | Alice is creative. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | creative(alice) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1312997020483090111996631
% SZS output start Proof for 1312997020483090111996631
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (wise(X0) <~> ~funny(X0))) [input p1]
5. ! [X0] : ((strong(X0) & tall(X0)) <=> (generous(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X... | 0 |
If john is either humble or tall then someone is calm.
Everyone who is creative or calm is kind and vice versa.
Everyone who is either not funny or kind is quiet.
Everyone who is either not generous or not wise is both humble and strong.
Everyone who is happy is not kind.
Everyone who is quiet or happy is both not happ... | Mary is not brave. | neutral | (((humble(john)<~>tall(john)))=>(?[X]:(calm(X))))&
(![X]:((creative(X)|calm(X))<=>kind(X)))&
(![X]:((~funny(X)<~>kind(X))=>quiet(X)))&
(![X]:((~generous(X)<~>~wise(X))=>(humble(X)&strong(X))))&
(![X]:(happy(X)=>~kind(X)))&
(![X]:((quiet(X)|happy(X))<=>(~happy(X)&happy(X))))&
((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~c... | ~brave(mary) | [] | null | 0 |
If paul is strong then someone is brave.
If john is both creative and not calm then someone is both not wise and not patient and vice versa.
If someone is tall or creative then someone is not generous and vice versa.
Everyone who is strong or kind is both funny and not strong and vice versa.
If fred is funny or curious... | Alice is not funny. | contradiction | ((strong(paul))=>(?[X]:(brave(X))))&
(((creative(john)&~calm(john)))<=>(?[X]:((~wise(X)&~patient(X)))))&
((?[X]:((tall(X)|creative(X))))<=>(?[X]:(~generous(X))))&
(![X]:((strong(X)|kind(X))<=>(funny(X)&~strong(X))))&
(((funny(fred)|curious(fred)))<=>((~strong(alice)|kind(alice))))&
((?[X]:(humble(X)))<=>(?[X]:((~tall(X... | ~funny(alice) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2305637797952604536237988
% SZS output start Proof for 2305637797952604536237988
4. ! [X0] : ((kind(X0) | strong(X0)) <=> (~strong(X0) & funny(X0))) [input p3]
12. ! [X0] : (~tall(X0) <=> strong(X0)) [input p11]
16. ~tall(alice) | funny(alice) [input p15]
23. ~funny(alice) [input hypothes... | 0 |
If alice is not funny or not strong then someone is not calm and vice versa. If someone is both generous and not quiet then john is not humble or funny and vice versa. If someone is kind then lucy is both not patient and creative and vice versa. Everyone who is either not brave or not creative is both not generous and ... | Lucy is humble. | neutral | (((~funny(alice)|~strong(alice)))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)&~quiet(X))))<=>((~humble(john)|funny(john))))&
((?[X]:(kind(X)))<=>((~patient(lucy)&creative(lucy))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~generous(X)&~rich(X))))&
(![X]:((creative(X)|wise(X))<=>generous(X)))&
(![X]:(old(X)<=>~calm(X)))&
((?... | humble(lucy) | [] | null | 0 |
Everyone who is both not funny and calm is both humble and not humble and vice versa. Everyone who is either not brave or kind is both not wise and not strong and vice versa. If john is not wise or not quiet then someone is wise and vice versa. If someone is both not wise and generous then lucy is old. If john is eithe... | Lucy is not creative. | neutral | (![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)|~quiet(john)))<=>(?[X]:(wise(X))))&
((?[X]:((~wise(X)&generous(X))))=>(old(lucy)))&
(((~old(john)<~>strong(john)))=>((wise(lucy)&calm(lucy))))&
((?[X]:((~tall(X)|tall(X))))<=>(?[X]:((happy(X)|hu... | ~creative(lucy) | [] | null | 0 |
Everyone who is not funny is either kind or calm and vice versa.
Everyone who is happy is not wise or not strong and vice versa.
Everyone who is either old or not patient is both funny and kind.
If someone is not brave then john is wise.
Everyone who is kind is both not rich and funny and vice versa.
If someone is kind... | John is not funny. | entailment | (![X]:(~funny(X)<=>(kind(X)<~>calm(X))))&
(![X]:(happy(X)<=>(~wise(X)|~strong(X))))&
(![X]:((old(X)<~>~patient(X))=>(funny(X)&kind(X))))&
((?[X]:(~brave(X)))=>(wise(john)))&
(![X]:(kind(X)<=>(~rich(X)&funny(X))))&
((?[X]:((kind(X)|~wise(X))))<=>(?[X]:(calm(X))))&
(![X]:(brave(X)=>(~strong(X)|humble(X))))&
(![X]:((stron... | ~funny(john) | [
"p3",
"p9",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8349236261478967540505706
% SZS output start Proof for 8349236261478967540505706
4. ? [X0] : ~brave(X0) => wise(john) [input p3]
10. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~rich(X0) | brave(X0))) [input p9]
19. ~brave(paul) <~> kind(paul) [input p18]
20. funny(john) <~> rich(john) [input ... | 0 |
Everyone who is humble is generous. If someone is both not happy and not funny then fred is both kind and rich and vice versa. Everyone who is both not quiet and not old is not rich or rich. If someone is not quiet or old then someone is both not generous and brave. Everyone who is both not kind and not calm is both fu... | Fred is creative. | neutral | (![X]:(humble(X)=>generous(X)))&
((?[X]:((~happy(X)&~funny(X))))<=>((kind(fred)&rich(fred))))&
(![X]:((~quiet(X)&~old(X))=>(~rich(X)|rich(X))))&
((?[X]:((~quiet(X)|old(X))))=>(?[X]:((~generous(X)&brave(X)))))&
(![X]:((~kind(X)&~calm(X))=>(funny(X)&~creative(X))))&
(((creative(fred)<~>~old(fred)))<=>(?[X]:((~funny(X)<~>... | creative(fred) | [] | null | 0 |
Everyone who is either brave or not calm is quiet or not rich and vice versa.
If someone is not calm or strong then someone is curious or not brave and vice versa.
Everyone who is quiet is both patient and not funny and vice versa.
Everyone who is both not calm and kind is not funny or not patient and vice versa.
Every... | Lucy is funny. | entailment | (![X]:((brave(X)<~>~calm(X))<=>(quiet(X)|~rich(X))))&
((?[X]:((~calm(X)|strong(X))))<=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:(quiet(X)<=>(patient(X)&~funny(X))))&
(![X]:((~calm(X)&kind(X))<=>(~funny(X)|~patient(X))))&
(![X]:((~quiet(X)|strong(X))<=>(~calm(X)<~>~old(X))))&
((?[X]:((brave(X)<~>~brave(X))))=>((~kind(luc... | funny(lucy) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6512335487203787259589782
% SZS output start Proof for 6512335487203787259589782
4. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (~patient(X0) | ~funny(X0))) [input p3]
6. ? [X0] : (brave(X0) <~> ~brave(X0)) => (strong(lucy) & ~kind(lucy)) [input p5]
21. ~funny(lucy) [input hypothesis]
24. (stron... | 0 |
Everyone who is rich or not curious is either not wise or quiet and vice versa.
Everyone who is either not generous or brave is both not curious and wise and vice versa.
Everyone who is both wise and not generous is humble or wise.
Everyone who is either curious or not rich is either quiet or happy and vice versa.
If j... | John is not humble. | neutral | (![X]:((rich(X)|~curious(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~generous(X)<~>brave(X))<=>(~curious(X)&wise(X))))&
(![X]:((wise(X)&~generous(X))=>(humble(X)|wise(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(quiet(X)<~>happy(X))))&
(((~humble(john)&~tall(john)))=>(?[X]:(kind(X))))&
(![X]:((calm(X)&~funny(X))<=>(happy(X)|~g... | ~humble(john) | [] | null | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Paul is happy. | entailment | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | happy(paul) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6324339645751117437981351
% SZS output start Proof for 6324339645751117437981351
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~strong(X0) <~> happy(X0))) [input p7]
12. ? [X0] : (strong(X0) & tall(X0)) <=> ? [X0] : (... | 0 |
Everyone who is either calm or not kind is either wise or creative and vice versa.
If john is both rich and not wise then someone is both brave and not curious and vice versa.
If someone is either tall or patient then alice is either not calm or not quiet.
If someone is either creative or not patient then susan is eith... | Paul is not old. | entailment | (![X]:((calm(X)<~>~kind(X))<=>(wise(X)<~>creative(X))))&
(((rich(john)&~wise(john)))<=>(?[X]:((brave(X)&~curious(X)))))&
((?[X]:((tall(X)<~>patient(X))))=>((~calm(alice)<~>~quiet(alice))))&
((?[X]:((creative(X)<~>~patient(X))))<=>((funny(susan)<~>kind(susan))))&
((?[X]:((humble(X)|~wise(X))))=>((old(lucy)&patient(lucy)... | ~old(paul) | [
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4663584418896578764473373
% SZS output start Proof for 4663584418896578764473373
12. ! [X0] : ((~tall(X0) | ~wise(X0)) => (~old(X0) & ~humble(X0))) [input p11]
16. ! [X0] : (tall(X0) => (quiet(X0) & kind(X0))) [input p15]
24. ~quiet(paul) [input p23]
25. old(paul) [input hypothesis]
29. !... | 0 |
Everyone who is either not humble or humble is not brave and vice versa. If someone is either strong or old then someone is not curious or kind and vice versa. If someone is brave then someone is both not calm and not brave. If fred is both not strong and not humble then someone is either brave or happy. Everyone who i... | Susan is tall. | contradiction | (![X]:((~humble(X)<~>humble(X))<=>~brave(X)))&
((?[X]:((strong(X)<~>old(X))))<=>(?[X]:((~curious(X)|kind(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(((~strong(fred)&~humble(fred)))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:(kind(X)<=>(kind(X)<~>~happy(X))))&
((?[X]:((funny(X)&happy(X))))=>(creative(john)... | tall(susan) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6817610475840607976926448
% SZS output start Proof for 6817610475840607976926448
1. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> ~brave(X0)) [input p0]
5. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p4]
8. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (happy(X0) <~> ~calm(X0))) [input ... | 0 |
Everyone who is both quiet and strong is both not happy and not kind.
If someone is either kind or not tall then mary is not tall.
If someone is not strong then someone is not tall.
Everyone who is either generous or not calm is both rich and quiet.
Everyone who is not quiet is either not humble or wise.
If someone is ... | Paul is not tall. | contradiction | (![X]:((quiet(X)&strong(X))=>(~happy(X)&~kind(X))))&
((?[X]:((kind(X)<~>~tall(X))))=>(~tall(mary)))&
((?[X]:(~strong(X)))=>(?[X]:(~tall(X))))&
(![X]:((generous(X)<~>~calm(X))=>(rich(X)&quiet(X))))&
(![X]:(~quiet(X)=>(~humble(X)<~>wise(X))))&
((?[X]:(tall(X)))<=>(?[X]:(happy(X))))&
((?[X]:((~creative(X)&~patient(X))))=>... | ~tall(paul) | [
"p0",
"p4",
"p8",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3803700135316229243113217
% SZS output start Proof for 3803700135316229243113217
1. ! [X0] : ((strong(X0) & quiet(X0)) => (~kind(X0) & ~happy(X0))) [input p0]
5. ! [X0] : (~quiet(X0) => (~humble(X0) <~> wise(X0))) [input p4]
9. (~tall(mary) | tall(mary)) <=> ~wise(paul) [input p8]
12. ! [... | 0 |
If mary is both quiet and not old then susan is kind or not wise and vice versa.
If someone is either not funny or not generous then someone is not tall and vice versa.
Everyone who is both curious and funny is not wise.
If paul is either not brave or happy then lucy is not wise or not creative.
Everyone who is strong ... | Susan is not creative. | entailment | (((quiet(mary)&~old(mary)))<=>((kind(susan)|~wise(susan))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:(~tall(X))))&
(![X]:((curious(X)&funny(X))=>~wise(X)))&
(((~brave(paul)<~>happy(paul)))=>((~wise(lucy)|~creative(lucy))))&
(![X]:(strong(X)=>~calm(X)))&
((?[X]:((curious(X)<~>old(X))))=>((generous(susan)|~wise(susa... | ~creative(susan) | [
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5832851637867452436234181
% SZS output start Proof for 5832851637867452436234181
7. ! [X0] : ((patient(X0) & kind(X0)) <=> (~generous(X0) | strong(X0))) [input p6]
10. ! [X0] : ((quiet(X0) | calm(X0)) <=> (~funny(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=... | 0 |
Everyone who is either tall or not wise is curious or happy and vice versa. Everyone who is not tall is wise or quiet. Everyone who is both not creative and not quiet is not strong or old and vice versa. If someone is both not old and kind then someone is both not funny and funny. If someone is either calm or kind then... | Mary is brave. | contradiction | (![X]:((tall(X)<~>~wise(X))<=>(curious(X)|happy(X))))&
(![X]:(~tall(X)=>(wise(X)|quiet(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(~strong(X)|old(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(curious(X))))&
(![X]:((brave(X)<~>~strong(X))=>tall(X)))&
(![X]:((bra... | brave(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4862034851928514862227836
% SZS output start Proof for 4862034851928514862227836
7. ! [X0] : ((wise(X0) | brave(X0)) <=> (~strong(X0) & strong(X0))) [input p6]
21. brave(mary) [input hypothesis]
45. ! [X0] : (((wise(X0) | brave(X0)) | (strong(X0) | ~strong(X0))) & ((~strong(X0) & strong(X... | 0 |
If someone is brave or rich then john is both not funny and not happy.
Everyone who is tall is not brave and vice versa.
Everyone who is generous is not happy and vice versa.
Everyone who is either not strong or funny is both generous and humble and vice versa.
If paul is both not kind and not brave then mary is either... | John is calm. | neutral | ((?[X]:((brave(X)|rich(X))))=>((~funny(john)&~happy(john))))&
(![X]:(tall(X)<=>~brave(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((~strong(X)<~>funny(X))<=>(generous(X)&humble(X))))&
(((~kind(paul)&~brave(paul)))<=>((~wise(mary)<~>~curious(mary))))&
(![X]:(~curious(X)<=>(old(X)&~kind(X))))&
(![X]:(humble(X)=>(happy(... | calm(john) | [] | null | 0 |
Everyone who is both not patient and generous is either generous or strong. If fred is either funny or not calm then someone is not rich and vice versa. If someone is not patient or not tall then john is either not curious or kind. If susan is tall then someone is not strong and vice versa. Everyone who is both not gen... | John is rich. | neutral | (![X]:((~patient(X)&generous(X))=>(generous(X)<~>strong(X))))&
(((funny(fred)<~>~calm(fred)))<=>(?[X]:(~rich(X))))&
((?[X]:((~patient(X)|~tall(X))))=>((~curious(john)<~>kind(john))))&
((tall(susan))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)&creative(X))=>~calm(X)))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:(~kind(X))))&... | rich(john) | [] | null | 0 |
If someone is both brave and curious then someone is tall. If alice is generous or not kind then lucy is wise and vice versa. Everyone who is either not brave or funny is wise and vice versa. If paul is either happy or not humble then someone is both not generous and creative. Everyone who is brave or kind is wise. If ... | Alice is not creative. | entailment | ((?[X]:((brave(X)&curious(X))))=>(?[X]:(tall(X))))&
(((generous(alice)|~kind(alice)))<=>(wise(lucy)))&
(![X]:((~brave(X)<~>funny(X))<=>wise(X)))&
(((happy(paul)<~>~humble(paul)))=>(?[X]:((~generous(X)&creative(X)))))&
(![X]:((brave(X)|kind(X))=>wise(X)))&
((?[X]:((~happy(X)&~humble(X))))<=>(?[X]:((~brave(X)|humble(X)))... | ~creative(alice) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5178131247808698731307191
% SZS output start Proof for 5178131247808698731307191
14. ! [X0] : ((funny(X0) | ~generous(X0)) => ~creative(X0)) [input p13]
21. funny(alice) [input p20]
24. creative(alice) [input hypothesis]
38. ! [X0] : (~creative(X0) | (~funny(X0) & generous(X0))) [ennf tra... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Paul is generous. | 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)))=... | generous(paul) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3192620031687894786329059
% SZS output start Proof for 3192620031687894786329059
1. ! [X0] : ((funny(X0) & ~tall(X0)) => (~curious(X0) <~> generous(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~generous(X0)) => creative(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0)))... | 0 |
Everyone who is both patient and not generous is either not calm or not generous. Everyone who is quiet is wise. If someone is both not happy and quiet then someone is both funny and wise and vice versa. If john is calm then someone is wise or tall and vice versa. If someone is curious or not creative then paul is not ... | Fred is quiet. | contradiction | (![X]:((patient(X)&~generous(X))=>(~calm(X)<~>~generous(X))))&
(![X]:(quiet(X)=>wise(X)))&
((?[X]:((~happy(X)&quiet(X))))<=>(?[X]:((funny(X)&wise(X)))))&
((calm(john))<=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((curious(X)|~creative(X))))<=>((~humble(paul)|~funny(paul))))&
(![X]:((quiet(X)|generous(X))=>(~funny(X)<~>brave(... | quiet(fred) | [
"p0",
"p1",
"p5",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5486205175091618814931339
% SZS output start Proof for 5486205175091618814931339
1. ! [X0] : ((~generous(X0) & patient(X0)) => (~calm(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : (quiet(X0) => wise(X0)) [input p1]
6. ! [X0] : ((generous(X0) | quiet(X0)) => (~funny(X0) <~> brave(X0))) [i... | 0 |
Everyone who is either not strong or generous is both not tall and not happy and vice versa. Everyone who is both not calm and creative is not creative and vice versa. Everyone who is not strong or not creative is both strong and kind and vice versa. If mary is patient or not humble then mary is both not tall and humbl... | Alice is rich. | contradiction | (![X]:((~strong(X)<~>generous(X))<=>(~tall(X)&~happy(X))))&
(![X]:((~calm(X)&creative(X))<=>~creative(X)))&
(![X]:((~strong(X)|~creative(X))<=>(strong(X)&kind(X))))&
(((patient(mary)|~humble(mary)))=>((~tall(mary)&humble(mary))))&
(![X]:(quiet(X)=>(~rich(X)|~patient(X))))&
((?[X]:((~old(X)<~>tall(X))))=>((funny(alice)&... | rich(alice) | [
"p4",
"p5",
"p7",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 69478442322847152388107
% SZS output start Proof for 69478442322847152388107
5. ! [X0] : (quiet(X0) => (~patient(X0) | ~rich(X0))) [input p4]
6. ? [X0] : (~old(X0) <~> tall(X0)) => (~quiet(alice) & funny(alice)) [input p5]
8. ! [X0] : ((rich(X0) <~> old(X0)) <=> (~tall(X0) | happy(X0))) [... | 0 |
Everyone who is either rich or not creative is not calm or not patient. If someone is both calm and not creative then someone is not kind and vice versa. Everyone who is kind is both kind and not old. If someone is both not old and tall then someone is either brave or humble and vice versa. If alice is both funny and n... | Alice is not kind. | neutral | (![X]:((rich(X)<~>~creative(X))=>(~calm(X)|~patient(X))))&
((?[X]:((calm(X)&~creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:(kind(X)=>(kind(X)&~old(X))))&
((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brave(X)<~>humble(X)))))&
(((funny(alice)&~brave(alice)))=>((~strong(fred)|~rich(fred))))&
(![X]:((calm(X)<~>quiet(X))<=>(~generous... | ~kind(alice) | [] | null | 0 |
If someone is both calm and curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either ... | Mary is wise. | entailment | ((?[X]:((calm(X)&curious(X))))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | wise(mary) | [
"p1",
"p4",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1139000563363364170244073
% SZS output start Proof for 1139000563363364170244073
2. ? [X0] : (~curious(X0) | creative(X0)) <=> ~generous(mary) [input p1]
5. ! [X0] : ((wise(X0) <~> generous(X0)) <=> (~calm(X0) | ~wise(X0))) [input p4]
9. ! [X0] : (humble(X0) <=> (tall(X0) | curious(X0))) ... | 0 |
If mary is either not creative or happy then someone is both creative and not patient. Everyone who is not calm is kind. If someone is both not patient and quiet then someone is both patient and not funny and vice versa. If fred is not patient then someone is not curious. If paul is not old or old then lucy is not wise... | Lucy is not kind. | entailment | (((~creative(mary)<~>happy(mary)))=>(?[X]:((creative(X)&~patient(X)))))&
(![X]:(~calm(X)=>kind(X)))&
((?[X]:((~patient(X)&quiet(X))))<=>(?[X]:((patient(X)&~funny(X)))))&
((~patient(fred))=>(?[X]:(~curious(X))))&
(((~old(paul)|old(paul)))<=>(~wise(lucy)))&
(((curious(mary)|quiet(mary)))=>(?[X]:((brave(X)|~brave(X)))))&
... | ~kind(lucy) | [
"p10",
"p12",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1074666178672748514146846
% SZS output start Proof for 1074666178672748514146846
11. ! [X0] : (calm(X0) <=> (strong(X0) | ~rich(X0))) [input p10]
13. ! [X0] : ((~humble(X0) | ~strong(X0)) => (~calm(X0) & strong(X0))) [input p12]
14. ! [X0] : ((~strong(X0) <~> ~old(X0)) <=> (~patient(X0) &... | 0 |
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 curious and vice versa.
Everyone who is either wise or brave is not wise or not strong and vice versa.
If someone is either quiet or creative then john is either rich or not curious and vice ve... | John is not tall. | entailment | (![X]:((~tall(X)<~>~creative(X))=>creative(X)))&
(((strong(mary)<~>~quiet(mary)))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~wise(X)|~strong(X))))&
((?[X]:((quiet(X)<~>creative(X))))<=>((rich(john)<~>~curious(john))))&
(![X]:((~rich(X)|brave(X))=>(calm(X)&~calm(X))))&
(((~brave(lucy)<~>~creative... | ~tall(john) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2542032325507898097682202
% SZS output start Proof for 2542032325507898097682202
1. ! [X0] : ((~tall(X0) <~> ~creative(X0)) => creative(X0)) [input p0]
5. ! [X0] : ((brave(X0) | ~rich(X0)) => (~calm(X0) & calm(X0))) [input p4]
12. ! [X0] : ((~brave(X0) | kind(X0)) <=> ~creative(X0)) [inpu... | 0 |
If susan is not patient or humble then susan is both creative and tall and vice versa. Everyone who is either not funny or calm is not funny. Everyone who is both curious and not brave is either not funny or not strong and vice versa. Everyone who is not calm or not generous is either not strong or not patient. If some... | Fred is calm. | contradiction | (((~patient(susan)|humble(susan)))<=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(... | calm(fred) | [
"p1",
"p2",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8388207599482094147797872
% SZS output start Proof for 8388207599482094147797872
2. ! [X0] : ((~funny(X0) <~> calm(X0)) => ~funny(X0)) [input p1]
3. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p2]
8. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (~kind(X0) <~... | 0 |
Everyone who is either not happy or not quiet is creative and vice versa.
If someone is either wise or not strong then someone is either quiet or kind.
If someone is either not curious or wise then fred is both quiet and creative and vice versa.
If someone is both not curious and not happy then john is either not brave... | John is not creative. | entailment | (![X]:((~happy(X)<~>~quiet(X))<=>creative(X)))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>kind(X)))))&
((?[X]:((~curious(X)<~>wise(X))))<=>((quiet(fred)&creative(fred))))&
((?[X]:((~curious(X)&~happy(X))))<=>((~brave(john)<~>~wise(john))))&
(![X]:((~creative(X)|old(X))=>(rich(X)|~generous(X))))&
(((old(lucy)... | ~creative(john) | [
"p0",
"p4",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4045819871396192020617955
% SZS output start Proof for 4045819871396192020617955
1. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> creative(X0)) [input p0]
5. ! [X0] : ((old(X0) | ~creative(X0)) => (~generous(X0) | rich(X0))) [input p4]
11. ! [X0] : ((~old(X0) | rich(X0)) <=> (~happy(X0) <~> q... | 0 |
Everyone who is both not funny and not generous is either not kind or happy. If lucy is not happy or not patient then paul is calm or tall. If lucy is both happy and tall then alice is calm and vice versa. Everyone who is both not strong and rich is both not strong and not funny and vice versa. If susan is either tall ... | Mary is generous. | contradiction | (![X]:((~funny(X)&~generous(X))=>(~kind(X)<~>happy(X))))&
(((~happy(lucy)|~patient(lucy)))=>((calm(paul)|tall(paul))))&
(((happy(lucy)&tall(lucy)))<=>(calm(alice)))&
(![X]:((~strong(X)&rich(X))<=>(~strong(X)&~funny(X))))&
(((tall(susan)<~>~quiet(susan)))=>(?[X]:((brave(X)<~>~creative(X)))))&
((?[X]:((tall(X)&~calm(X)))... | generous(mary) | [
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2679451815731102142510367
% SZS output start Proof for 2679451815731102142510367
7. ! [X0] : ((brave(X0) | generous(X0)) => (patient(X0) & ~humble(X0))) [input p6]
9. ! [X0] : ((old(X0) | ~quiet(X0)) => (~patient(X0) & brave(X0))) [input p8]
12. ! [X0] : (~old(X0) => (generous(X0) <~> qui... | 0 |
If lucy is both wise and not curious then mary is either brave or not tall and vice versa. Everyone who is both happy and kind is both not rich and not curious and vice versa. Everyone who is either not funny or not wise is either not old or strong and vice versa. If someone is both not creative and kind then susan is ... | Susan is quiet. | contradiction | (((wise(lucy)&~curious(lucy)))<=>((brave(mary)<~>~tall(mary))))&
(![X]:((happy(X)&kind(X))<=>(~rich(X)&~curious(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~old(X)<~>strong(X))))&
((?[X]:((~creative(X)&kind(X))))=>(~rich(susan)))&
(![X]:((~funny(X)&~calm(X))<=>(wise(X)&~happy(X))))&
((~calm(susan))=>(~patient(lucy)))&
(![X... | quiet(susan) | [
"p7",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7195593479598927259124511
% SZS output start Proof for 7195593479598927259124511
8. ! [X0] : ((~humble(X0) | ~funny(X0)) => (quiet(X0) <~> calm(X0))) [input p7]
9. ! [X0] : (brave(X0) <=> (calm(X0) | ~brave(X0))) [input p8]
22. ~funny(susan) & calm(susan) [input p21]
24. quiet(susan) [inp... | 0 |
If paul is either not generous or not wise then mary is both funny and not old and vice versa.
If lucy is both calm and curious then someone is either not old or not curious and vice versa.
Everyone who is both tall and not generous is rich or curious.
Everyone who is either not generous or not strong is not generous a... | Lucy is not kind. | contradiction | (((~generous(paul)<~>~wise(paul)))<=>((funny(mary)&~old(mary))))&
(((calm(lucy)&curious(lucy)))<=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((tall(X)&~generous(X))=>(rich(X)|curious(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>~generous(X)))&
(![X]:(rich(X)<=>(~curious(X)|humble(X))))&
(((~kind(susan)|~humble(susan)))<=>... | ~kind(lucy) | [
"p3",
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7148050679924546494674662
% SZS output start Proof for 7148050679924546494674662
4. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> ~generous(X0)) [input p3]
5. ! [X0] : (rich(X0) <=> (humble(X0) | ~curious(X0))) [input p4]
6. (~humble(susan) | ~kind(susan)) <=> ~strong(alice) [input p5]
13... | 0 |
Everyone who is not funny or not calm is either not rich or not calm.
Everyone who is both not patient and not funny is either not tall or not happy.
If someone is both happy and not patient then lucy is either not quiet or brave and vice versa.
Everyone who is generous is generous or quiet and vice versa.
If paul is b... | John is not generous. | neutral | (![X]:((~funny(X)|~calm(X))=>(~rich(X)<~>~calm(X))))&
(![X]:((~patient(X)&~funny(X))=>(~tall(X)<~>~happy(X))))&
((?[X]:((happy(X)&~patient(X))))<=>((~quiet(lucy)<~>brave(lucy))))&
(![X]:(generous(X)<=>(generous(X)|quiet(X))))&
(((~old(paul)&old(paul)))<=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((rich(X)|~patient(X))<=>(o... | ~generous(john) | [] | null | 0 |
Everyone who is either curious or not tall is either not strong or curious and vice versa. Everyone who is either happy or not creative is creative. Everyone who is both not humble and not generous is not curious and vice versa. If someone is happy then someone is humble or not tall. Everyone who is both not kind and k... | Paul is not curious. | entailment | (![X]:((curious(X)<~>~tall(X))<=>(~strong(X)<~>curious(X))))&
(![X]:((happy(X)<~>~creative(X))=>creative(X)))&
(![X]:((~humble(X)&~generous(X))<=>~curious(X)))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)|~tall(X)))))&
(![X]:((~kind(X)&kind(X))=>(~wise(X)<~>quiet(X))))&
((?[X]:((calm(X)&~happy(X))))<=>(?[X]:(quiet(X))))&
(![... | ~curious(paul) | [
"p2",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8563356621234311799659392
% SZS output start Proof for 8563356621234311799659392
3. ! [X0] : ((~generous(X0) & ~humble(X0)) <=> ~curious(X0)) [input p2]
7. ! [X0] : ((~wise(X0) | ~funny(X0)) => (wise(X0) & ~generous(X0))) [input p6]
13. ! [X0] : (~funny(X0) => (old(X0) & ~humble(X0))) [in... | 0 |
If alice is not generous or not brave then someone is patient.
If someone is not funny then someone is both wise and not brave.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and not old and vice versa.
If mary is either tall or quiet then someone is both no... | Paul is brave. | contradiction | (((~generous(alice)|~brave(alice)))=>(?[X]:(patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X... | brave(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4196080010197203122191949
% SZS output start Proof for 4196080010197203122191949
7. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p6]
24. brave(paul) [input hypothesis]
50. ! [X0] : (((curious(X0) | ~brave(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) & brave(X0)))) ... | 0 |
If lucy is patient or not humble then someone is not brave or curious and vice versa.
If someone is creative then susan is either strong or calm and vice versa.
If someone is both not calm and rich then someone is not strong.
If alice is either rich or not humble then susan is not strong or not generous and vice versa.... | Susan is humble. | neutral | (((patient(lucy)|~humble(lucy)))<=>(?[X]:((~brave(X)|curious(X)))))&
((?[X]:(creative(X)))<=>((strong(susan)<~>calm(susan))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:(~strong(X))))&
(((rich(alice)<~>~humble(alice)))<=>((~strong(susan)|~generous(susan))))&
(((generous(mary)&kind(mary)))=>((happy(mary)|~calm(mary))))&
((cre... | humble(susan) | [] | null | 0 |
If someone is not creative then alice is either brave or not strong and vice versa.
Everyone who is rich is either quiet or strong.
Everyone who is humble or not calm is both not humble and brave and vice versa.
Everyone who is both not wise and wise is wise or not funny.
If mary is either not curious or quiet then som... | Susan is funny. | neutral | ((?[X]:(~creative(X)))<=>((brave(alice)<~>~strong(alice))))&
(![X]:(rich(X)=>(quiet(X)<~>strong(X))))&
(![X]:((humble(X)|~calm(X))<=>(~humble(X)&brave(X))))&
(![X]:((~wise(X)&wise(X))=>(wise(X)|~funny(X))))&
(((~curious(mary)<~>quiet(mary)))=>(?[X]:((tall(X)|brave(X)))))&
(((~kind(paul)|~funny(paul)))=>(kind(alice)))&
... | funny(susan) | [] | null | 0 |
Everyone who is either not tall or not patient is both old and creative. If someone is happy then someone is both creative and not creative and vice versa. If someone is not creative or not funny then fred is not creative. Everyone who is both not rich and old is not happy. Everyone who is either funny or brave is eith... | Alice is not curious. | neutral | (![X]:((~tall(X)<~>~patient(X))=>(old(X)&creative(X))))&
((?[X]:(happy(X)))<=>(?[X]:((creative(X)&~creative(X)))))&
((?[X]:((~creative(X)|~funny(X))))=>(~creative(fred)))&
(![X]:((~rich(X)&old(X))=>~happy(X)))&
(![X]:((funny(X)<~>brave(X))<=>(~kind(X)<~>rich(X))))&
(![X]:((old(X)<~>happy(X))<=>(~strong(X)|~old(X))))&
(... | ~curious(alice) | [] | null | 0 |
Everyone who is not strong or strong is both not curious and not happy and vice versa. If someone is either funny or generous then someone is both not calm and not patient. Everyone who is both not curious and not wise is not happy. If paul is both funny and not kind then someone is either tall or not creative and vice... | Paul is not patient. | neutral | (![X]:((~strong(X)|strong(X))<=>(~curious(X)&~happy(X))))&
((?[X]:((funny(X)<~>generous(X))))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(((funny(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~creative(X)))))&
(![X]:(~patient(X)=>(~humble(X)&rich(X))))&
((?[X]:(~old(X)))<=>(~wise(mary)))&
... | ~patient(paul) | [] | null | 0 |
If someone is either not patient or patient then someone is either not creative or not funny. Everyone who is either not quiet or quiet is either funny or patient. Everyone who is either not generous or not curious is creative and vice versa. Everyone who is generous is both rich and generous. If someone is not curious... | Paul is not tall. | contradiction | ((?[X]:((~patient(X)<~>patient(X))))=>(?[X]:((~creative(X)<~>~funny(X)))))&
(![X]:((~quiet(X)<~>quiet(X))=>(funny(X)<~>patient(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>creative(X)))&
(![X]:(generous(X)=>(rich(X)&generous(X))))&
((?[X]:((~curious(X)|~generous(X))))<=>((calm(paul)&~creative(paul))))&
(((patient(fred)... | ~tall(paul) | [
"p2",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6998028340987868492722620
% SZS output start Proof for 6998028340987868492722620
3. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> creative(X0)) [input p2]
5. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (~creative(paul) & calm(paul)) [input p4]
7. ! [X0] : ((~calm(X0) & wise(X0)) <=> (cur... | 0 |
If someone is either wise or patient then lucy is either calm or not rich and vice versa. Everyone who is curious or not kind is not old. Everyone who is funny is both old and not quiet. If someone is both tall and generous then alice is either not kind or happy. Everyone who is not happy or not rich is old or happy. E... | Fred is not curious. | neutral | ((?[X]:((wise(X)<~>patient(X))))<=>((calm(lucy)<~>~rich(lucy))))&
(![X]:((curious(X)|~kind(X))=>~old(X)))&
(![X]:(funny(X)=>(old(X)&~quiet(X))))&
((?[X]:((tall(X)&generous(X))))=>((~kind(alice)<~>happy(alice))))&
(![X]:((~happy(X)|~rich(X))=>(old(X)|happy(X))))&
(![X]:((humble(X)<~>generous(X))=>tall(X)))&
(![X]:(~pati... | ~curious(fred) | [] | null | 0 |
If someone is quiet or not curious then someone is not patient and vice versa.
If paul is not curious or not tall then someone is either not generous or not calm.
Everyone who is either not quiet or curious is quiet and vice versa.
Everyone who is kind or not curious is not funny or not generous and vice versa.
Everyon... | Mary is not brave. | contradiction | ((?[X]:((quiet(X)|~curious(X))))<=>(?[X]:(~patient(X))))&
(((~curious(paul)|~tall(paul)))=>(?[X]:((~generous(X)<~>~calm(X)))))&
(![X]:((~quiet(X)<~>curious(X))<=>quiet(X)))&
(![X]:((kind(X)|~curious(X))<=>(~funny(X)|~generous(X))))&
(![X]:((~rich(X)|~brave(X))<=>(~curious(X)&~old(X))))&
((?[X]:((generous(X)|~old(X))))<... | ~brave(mary) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7224549377081006830438518
% SZS output start Proof for 7224549377081006830438518
3. ! [X0] : ((~quiet(X0) <~> curious(X0)) <=> quiet(X0)) [input p2]
5. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> (~old(X0) & ~curious(X0))) [input p4]
20. ~brave(mary) [input hypothesis]
43. ! [X0] : ((((~curiou... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.