premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not generous or not patient then someone is either not wise or wise.
Everyone who is both wise and brave is either not wise or not patient.
Everyone who is kind is either not humble or creative and vice versa.
Everyone who is strong or not creative is not rich and vice versa.
If paul is rich or kin... | Paul is strong. | entailment | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((wise(X)&brave(X))=>(~wise(X)<~>~patient(X))))&
(![X]:(kind(X)<=>(~humble(X)<~>creative(X))))&
(![X]:((strong(X)|~creative(X))<=>~rich(X)))&
(((rich(paul)|kind(paul)))=>((~brave(paul)|~kind(paul))))&
(![X]:((~wise(X)<~>~generous(X))=>(~humbl... | strong(paul) | [
"p3",
"p5",
"p8",
"p10",
"p12",
"p14",
"p15",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8900648518592640314823325
% SZS output start Proof for 8900648518592640314823325
4. ! [X0] : ((~creative(X0) | strong(X0)) <=> ~rich(X0)) [input p3]
6. ! [X0] : ((~wise(X0) <~> ~generous(X0)) => (~humble(X0) <~> quiet(X0))) [input p5]
9. funny(john) <=> ~creative(paul) [input p8]
11. ! [X... | 0 |
If someone is both not generous and wise then john is not creative and vice versa.
If someone is either not old or not rich then lucy is not kind or not creative and vice versa.
Everyone who is either not curious or humble is strong.
Everyone who is not strong or not calm is not strong or wise.
Everyone who is both old... | Lucy is creative. | neutral | ((?[X]:((~generous(X)&wise(X))))<=>(~creative(john)))&
((?[X]:((~old(X)<~>~rich(X))))<=>((~kind(lucy)|~creative(lucy))))&
(![X]:((~curious(X)<~>humble(X))=>strong(X)))&
(![X]:((~strong(X)|~calm(X))=>(~strong(X)|wise(X))))&
(![X]:((old(X)&patient(X))<=>(strong(X)|creative(X))))&
((~strong(lucy))=>((kind(mary)|~curious(m... | creative(lucy) | [] | null | 0 |
Everyone who is either calm or strong is calm or funny and vice versa.
If someone is either not rich or not strong then alice is both not funny and not rich.
If someone is either patient or not tall then fred is strong or funny.
Everyone who is not wise is happy and vice versa.
Everyone who is both not old and tall is ... | Alice is not tall. | contradiction | (![X]:((calm(X)<~>strong(X))<=>(calm(X)|funny(X))))&
((?[X]:((~rich(X)<~>~strong(X))))=>((~funny(alice)&~rich(alice))))&
((?[X]:((patient(X)<~>~tall(X))))=>((strong(fred)|funny(fred))))&
(![X]:(~wise(X)<=>happy(X)))&
(![X]:((~old(X)&tall(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~curious(X)&calm(X))<=>~strong(X)))&
(![X]:(o... | ~tall(alice) | [
"p0",
"p1",
"p4",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 45810759798585349272034
% SZS output start Proof for 45810759798585349272034
1. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (funny(X0) | calm(X0))) [input p0]
2. ? [X0] : (~rich(X0) <~> ~strong(X0)) => (~rich(alice) & ~funny(alice)) [input p1]
5. ! [X0] : ((tall(X0) & ~old(X0)) <=> (calm(X0) ... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is either humble or not rich is both not humble and kind. Everyone who is either funny or rich is not funny. Everyone who is both curious and not curious is both patient and creative and vice versa. Everyone who is not curious is not brave ... | Paul is creative. | contradiction | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:((humble(X)<~>~rich(X))=>(~humble(X)&kind(X))))&
(![X]:((funny(X)<~>rich(X))=>~funny(X)))&
(![X]:((curious(X)&~curious(X))<=>(patient(X)&creative(X))))&
(![X]:(~curious(X)<=>~brave(X)))&
(((strong(john)<~>~funny(john)))=>(brave(paul)))&
(((strong(alice)|f... | creative(paul) | [
"p0",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1165539701031740083293979
% SZS output start Proof for 1165539701031740083293979
1. ! [X0] : ((~strong(X0) | creative(X0)) => (generous(X0) & funny(X0))) [input p0]
5. ! [X0] : (~curious(X0) <=> ~brave(X0)) [input p4]
8. ! [X0] : ((curious(X0) & ~funny(X0)) <=> (curious(X0) <~> ~brave(X0)... | 0 |
If someone is both wise and calm then alice is either creative or not happy and vice versa. Everyone who is both happy and quiet is not rich or not brave and vice versa. If someone is calm or curious then mary is either creative or humble. Everyone who is not humble or not wise is either humble or not quiet. If paul is... | Susan is not quiet. | neutral | ((?[X]:((wise(X)&calm(X))))<=>((creative(alice)<~>~happy(alice))))&
(![X]:((happy(X)&quiet(X))<=>(~rich(X)|~brave(X))))&
((?[X]:((calm(X)|curious(X))))=>((creative(mary)<~>humble(mary))))&
(![X]:((~humble(X)|~wise(X))=>(humble(X)<~>~quiet(X))))&
(((generous(paul)&tall(paul)))=>((strong(susan)&~tall(susan))))&
((~funny(... | ~quiet(susan) | [] | null | 0 |
If someone is either not wise or not old then someone is not humble or not curious and vice versa.
Everyone who is tall is either curious or rich and vice versa.
Everyone who is not funny is both not brave and funny.
Everyone who is both not kind and kind is patient.
If john is both old and not patient then lucy is eit... | Mary is rich. | entailment | ((?[X]:((~wise(X)<~>~old(X))))<=>(?[X]:((~humble(X)|~curious(X)))))&
(![X]:(tall(X)<=>(curious(X)<~>rich(X))))&
(![X]:(~funny(X)=>(~brave(X)&funny(X))))&
(![X]:((~kind(X)&kind(X))=>patient(X)))&
(((old(john)&~patient(john)))=>((~happy(lucy)<~>rich(lucy))))&
(![X]:((~brave(X)|~quiet(X))<=>~happy(X)))&
((~patient(mary))=... | rich(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2266424012192869805413208
% SZS output start Proof for 2266424012192869805413208
21. rich(mary) & ~brave(mary) [input p20]
22. ~rich(mary) [input hypothesis]
123. rich(mary) [cnf transformation 21]
124. ~rich(mary) [cnf transformation 22]
248. $false [subsumption resolution 124,123]
% SZS... | 0 |
Everyone who is either not funny or strong is not brave.
If someone is either kind or not curious then someone is not curious or not generous.
If alice is not brave or not patient then someone is both generous and funny and vice versa.
Everyone who is either not tall or not rich is both not generous and not patient and... | Lucy is strong. | contradiction | (![X]:((~funny(X)<~>strong(X))=>~brave(X)))&
((?[X]:((kind(X)<~>~curious(X))))=>(?[X]:((~curious(X)|~generous(X)))))&
(((~brave(alice)|~patient(alice)))<=>(?[X]:((generous(X)&funny(X)))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
(... | strong(lucy) | [
"p9",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 673769878929550379111977
% SZS output start Proof for 673769878929550379111977
10. ! [X0] : ((old(X0) | strong(X0)) <=> (strong(X0) <~> ~curious(X0))) [input p9]
15. ? [X0] : (quiet(X0) <~> funny(X0)) <=> ~strong(lucy) [input p14]
16. ! [X0] : (quiet(X0) <=> (rich(X0) | curious(X0))) [inp... | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa.
If someone is both brave and not old then lucy is either not calm or calm and vice versa.
If mary is not patient then alice is not calm.
If lucy is both not tall and calm then someone is quiet and vice versa.
If someone is not happ... | Alice is not funny. | neutral | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:((brave(X)&~old(X))))<=>((~calm(lucy)<~>calm(lucy))))&
((~patient(mary))=>(~calm(alice)))&
(((~tall(lucy)&calm(lucy)))<=>(?[X]:(quiet(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~wise(X)|patient(X)))))&
(![X]:((~brave(X)&~wise(X))<=>(happy(X)<~>~wise(X))))... | ~funny(alice) | [] | null | 0 |
Everyone who is happy is both curious and creative and vice versa.
Everyone who is rich is not humble or not brave and vice versa.
Everyone who is either not wise or not calm is calm or wise.
If paul is either not creative or creative then someone is either brave or not quiet and vice versa.
Everyone who is both tall a... | Fred is not calm. | entailment | (![X]:(happy(X)<=>(curious(X)&creative(X))))&
(![X]:(rich(X)<=>(~humble(X)|~brave(X))))&
(![X]:((~wise(X)<~>~calm(X))=>(calm(X)|wise(X))))&
(((~creative(paul)<~>creative(paul)))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
(![X]:((tall(X)&kind(X))=>(kind(X)&~strong(X))))&
((?[X]:((creative(X)|~brave(X))))=>((~calm(fred)&~humble... | ~calm(fred) | [
"p0",
"p5",
"p7",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3248582310923902595248629
% SZS output start Proof for 3248582310923902595248629
1. ! [X0] : (happy(X0) <=> (creative(X0) & curious(X0))) [input p0]
6. ? [X0] : (~brave(X0) | creative(X0)) => (~humble(fred) & ~calm(fred)) [input p5]
8. ! [X0] : (brave(X0) <=> (quiet(X0) & wise(X0))) [inpu... | 0 |
Everyone who is strong is not generous or not rich.
Everyone who is not kind or humble is kind and vice versa.
If susan is happy or old then someone is not tall and vice versa.
Everyone who is not happy is both not creative and wise and vice versa.
If fred is either not funny or not calm then mary is not brave and vice... | Mary is not curious. | entailment | (![X]:(strong(X)=>(~generous(X)|~rich(X))))&
(![X]:((~kind(X)|humble(X))<=>kind(X)))&
(((happy(susan)|old(susan)))<=>(?[X]:(~tall(X))))&
(![X]:(~happy(X)<=>(~creative(X)&wise(X))))&
(((~funny(fred)<~>~calm(fred)))<=>(~brave(mary)))&
(![X]:((tall(X)|~funny(X))<=>~curious(X)))&
((?[X]:(~humble(X)))=>(?[X]:(~calm(X))))&
(... | ~curious(mary) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 592430359869299431840881
% SZS output start Proof for 592430359869299431840881
2. ! [X0] : ((humble(X0) | ~kind(X0)) <=> kind(X0)) [input p1]
6. ! [X0] : ((~funny(X0) | tall(X0)) <=> ~curious(X0)) [input p5]
13. ? [X0] : funny(X0) => ? [X0] : ~kind(X0) [input p12]
23. curious(mary) [input... | 0 |
Everyone who is funny is either not wise or calm and vice versa. If someone is kind or not strong then paul is happy or brave. If susan is either creative or tall then fred is not strong. If fred is quiet or not rich then susan is not happy or not old. Everyone who is rich or not wise is not brave. Everyone who is not ... | Alice is not patient. | entailment | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((kind(X)|~strong(X))))=>((happy(paul)|brave(paul))))&
(((creative(susan)<~>tall(susan)))=>(~strong(fred)))&
(((quiet(fred)|~rich(fred)))=>((~happy(susan)|~old(susan))))&
(![X]:((rich(X)|~wise(X))=>~brave(X)))&
(![X]:((~strong(X)|~generous(X))=>strong(X)))&
(((~old(fred)... | ~patient(alice) | [
"p0",
"p4",
"p7",
"p10",
"p11",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8441358291241670291434561
% SZS output start Proof for 8441358291241670291434561
1. ! [X0] : (funny(X0) <=> (~wise(X0) <~> calm(X0))) [input p0]
5. ! [X0] : ((~wise(X0) | rich(X0)) => ~brave(X0)) [input p4]
8. ! [X0] : (~brave(X0) <=> (~wise(X0) & happy(X0))) [input p7]
11. ! [X0] : (brav... | 0 |
If mary is rich then someone is quiet and vice versa. If john is not patient or not old then someone is not rich. Everyone who is curious is either not humble or not creative. If someone is old then someone is both rich and not funny. Everyone who is kind is both quiet and creative and vice versa. Everyone who is both ... | Paul is funny. | contradiction | ((rich(mary))<=>(?[X]:(quiet(X))))&
(((~patient(john)|~old(john)))=>(?[X]:(~rich(X))))&
(![X]:(curious(X)=>(~humble(X)<~>~creative(X))))&
((?[X]:(old(X)))=>(?[X]:((rich(X)&~funny(X)))))&
(![X]:(kind(X)<=>(quiet(X)&creative(X))))&
(![X]:((~old(X)&wise(X))=>(calm(X)&kind(X))))&
(![X]:((~calm(X)|brave(X))=>(~calm(X)&~tall... | funny(paul) | [
"p2",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6695198712016284539239497
% SZS output start Proof for 6695198712016284539239497
3. ! [X0] : (curious(X0) => (~humble(X0) <~> ~creative(X0))) [input p2]
8. ! [X0] : (calm(X0) <=> ~funny(X0)) [input p7]
11. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (curious(X0) & creative(X0))) [input p10]
15.... | 0 |
If paul is both not kind and not tall then someone is funny.
If someone is both not kind and not humble then lucy is old or wise.
If lucy is either happy or rich then someone is not quiet.
Everyone who is both not happy and not tall is either not generous or not rich and vice versa.
Everyone who is not rich or brave is... | Alice is patient. | neutral | (((~kind(paul)&~tall(paul)))=>(?[X]:(funny(X))))&
((?[X]:((~kind(X)&~humble(X))))=>((old(lucy)|wise(lucy))))&
(((happy(lucy)<~>rich(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&~tall(X))<=>(~generous(X)<~>~rich(X))))&
(![X]:((~rich(X)|brave(X))<=>rich(X)))&
((generous(paul))=>(?[X]:(old(X))))&
(![X]:((~calm(X)|~old(... | patient(alice) | [] | null | 0 |
Everyone who is not curious is generous.
Everyone who is not curious is not funny or not creative and vice versa.
Everyone who is curious is either happy or not patient and vice versa.
If someone is kind or creative then lucy is both humble and not happy.
Everyone who is both creative and not creative is not generous o... | Lucy is not strong. | entailment | (![X]:(~curious(X)=>generous(X)))&
(![X]:(~curious(X)<=>(~funny(X)|~creative(X))))&
(![X]:(curious(X)<=>(happy(X)<~>~patient(X))))&
((?[X]:((kind(X)|creative(X))))=>((humble(lucy)&~happy(lucy))))&
(![X]:((creative(X)&~creative(X))<=>(~generous(X)|~quiet(X))))&
(![X]:((~curious(X)&kind(X))=>(~happy(X)&~strong(X))))&
(((... | ~strong(lucy) | [
"p3",
"p4",
"p5",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1225256415799918710986807
% SZS output start Proof for 1225256415799918710986807
4. ? [X0] : (creative(X0) | kind(X0)) => (~happy(lucy) & humble(lucy)) [input p3]
5. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~quiet(X0) | ~generous(X0))) [input p4]
6. ! [X0] : ((kind(X0) & ~curious(X0)... | 0 |
Everyone who is both brave and not rich is either old or quiet.
If someone is generous or not brave then someone is creative and vice versa.
Everyone who is not patient is both not rich and calm.
If susan is not quiet or not rich then mary is both not rich and curious and vice versa.
Everyone who is both old and genero... | Mary is not old. | neutral | (![X]:((brave(X)&~rich(X))=>(old(X)<~>quiet(X))))&
((?[X]:((generous(X)|~brave(X))))<=>(?[X]:(creative(X))))&
(![X]:(~patient(X)=>(~rich(X)&calm(X))))&
(((~quiet(susan)|~rich(susan)))<=>((~rich(mary)&curious(mary))))&
(![X]:((old(X)&generous(X))<=>(~funny(X)&calm(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~curious(X)&~kind(... | ~old(mary) | [] | null | 0 |
Everyone who is both funny and not creative is either tall or generous. If paul is either brave or not generous then john is not creative and vice versa. Everyone who is either not brave or not funny is not humble and vice versa. Everyone who is either curious or creative is both not quiet and curious and vice versa. E... | Lucy is not strong. | neutral | (![X]:((funny(X)&~creative(X))=>(tall(X)<~>generous(X))))&
(((brave(paul)<~>~generous(paul)))<=>(~creative(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~curious(X)<=>(~old(X)|brave(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>((~quiet(lucy)&~... | ~strong(lucy) | [] | null | 0 |
If lucy is patient then someone is not curious or strong and vice versa. Everyone who is either not calm or quiet is not rich or not wise and vice versa. Everyone who is old or not funny is not kind or funny and vice versa. Everyone who is either humble or not generous is both quiet and not tall. Everyone who is brave ... | Alice is not creative. | neutral | ((patient(lucy))<=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~rich(X)|~wise(X))))&
(![X]:((old(X)|~funny(X))<=>(~kind(X)|funny(X))))&
(![X]:((humble(X)<~>~generous(X))=>(quiet(X)&~tall(X))))&
(![X]:(brave(X)=>funny(X)))&
(![X]:((~humble(X)|creative(X))=>(~wise(X)<~>~strong(X))))&
(((~happy(lucy... | ~creative(alice) | [] | null | 0 |
Everyone who is not quiet or humble is not strong or not creative and vice versa.
Everyone who is quiet or rich is not curious or not brave.
If paul is funny then someone is not brave.
Everyone who is not rich is both not humble and not brave.
Everyone who is either not humble or not curious is not brave or not patient... | Alice is calm. | neutral | (![X]:((~quiet(X)|humble(X))<=>(~strong(X)|~creative(X))))&
(![X]:((quiet(X)|rich(X))=>(~curious(X)|~brave(X))))&
((funny(paul))=>(?[X]:(~brave(X))))&
(![X]:(~rich(X)=>(~humble(X)&~brave(X))))&
(![X]:((~humble(X)<~>~curious(X))=>(~brave(X)|~patient(X))))&
(![X]:((old(X)|~curious(X))<=>(~strong(X)&~rich(X))))&
(![X]:((s... | calm(alice) | [] | null | 0 |
Everyone who is both not happy and patient is humble or not brave.
Everyone who is not strong or generous is both not quiet and not patient and vice versa.
If someone is old then someone is both not calm and not quiet.
If alice is wise then john is not patient.
Everyone who is not calm or not rich is happy and vice ver... | Paul is happy. | neutral | (![X]:((~happy(X)&patient(X))=>(humble(X)|~brave(X))))&
(![X]:((~strong(X)|generous(X))<=>(~quiet(X)&~patient(X))))&
((?[X]:(old(X)))=>(?[X]:((~calm(X)&~quiet(X)))))&
((wise(alice))=>(~patient(john)))&
(![X]:((~calm(X)|~rich(X))<=>happy(X)))&
(![X]:(quiet(X)=>~funny(X)))&
(((kind(john)|~patient(john)))<=>(?[X]:((~creat... | happy(paul) | [] | null | 0 |
Everyone who is not kind or not quiet is curious.
Everyone who is either funny or not generous is not patient and vice versa.
If someone is either patient or not happy then someone is not wise or not rich and vice versa.
If someone is creative then someone is not generous or not curious and vice versa.
Everyone who is ... | Susan is happy. | entailment | (![X]:((~kind(X)|~quiet(X))=>curious(X)))&
(![X]:((funny(X)<~>~generous(X))<=>~patient(X)))&
((?[X]:((patient(X)<~>~happy(X))))<=>(?[X]:((~wise(X)|~rich(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~creative(X)<=>(calm(X)|~kind(X))))&
((?[X]:((strong(X)&~strong(X))))<=>((curious(susan)&q... | happy(susan) | [
"p3",
"p4",
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 681205213628554996958760
% SZS output start Proof for 681205213628554996958760
4. ? [X0] : creative(X0) <=> ? [X0] : (~curious(X0) | ~generous(X0)) [input p3]
5. ! [X0] : (~creative(X0) <=> (~kind(X0) | calm(X0))) [input p4]
6. ? [X0] : (~strong(X0) & strong(X0)) <=> (quiet(susan) & curio... | 0 |
If someone is not quiet then alice is either rich or not patient. Everyone who is creative or funny is either not brave or not humble and vice versa. If someone is both creative and happy then someone is either happy or not humble and vice versa. Everyone who is curious or tall is brave. Everyone who is creative or not... | John is not old. | entailment | ((?[X]:(~quiet(X)))=>((rich(alice)<~>~patient(alice))))&
(![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~... | ~old(john) | [
"p1",
"p3",
"p4",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6408461995226193937336359
% SZS output start Proof for 6408461995226193937336359
2. ! [X0] : ((funny(X0) | creative(X0)) <=> (~brave(X0) <~> ~humble(X0))) [input p1]
4. ! [X0] : ((tall(X0) | curious(X0)) => brave(X0)) [input p3]
5. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) ... | 0 |
If someone is either patient or not rich then someone is tall and vice versa.
Everyone who is tall is either curious or not funny.
Everyone who is creative or not generous is quiet or not patient.
If fred is both not funny and not tall then someone is both old and not brave.
If someone is either curious or old then ali... | John is not creative. | neutral | ((?[X]:((patient(X)<~>~rich(X))))<=>(?[X]:(tall(X))))&
(![X]:(tall(X)=>(curious(X)<~>~funny(X))))&
(![X]:((creative(X)|~generous(X))=>(quiet(X)|~patient(X))))&
(((~funny(fred)&~tall(fred)))=>(?[X]:((old(X)&~brave(X)))))&
((?[X]:((curious(X)<~>old(X))))<=>((old(alice)&humble(alice))))&
(![X]:((~wise(X)|~kind(X))<=>~quie... | ~creative(john) | [] | null | 0 |
If paul is both patient and tall then someone is both not tall and calm and vice versa. Everyone who is either not patient or funny is either not kind or strong and vice versa. If john is either brave or funny then someone is both funny and not kind and vice versa. Everyone who is not old or not brave is creative. If f... | John is not creative. | contradiction | (((patient(paul)&tall(paul)))<=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:((~patient(X)<~>funny(X))<=>(~kind(X)<~>strong(X))))&
(((brave(john)<~>funny(john)))<=>(?[X]:((funny(X)&~kind(X)))))&
(![X]:((~old(X)|~brave(X))=>creative(X)))&
(((calm(fred)<~>~brave(fred)))<=>(?[X]:(wise(X))))&
(![X]:((~kind(X)|wise(X))<=>(~creative(... | ~creative(john) | [
"p3",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5161203910974856019777423
% SZS output start Proof for 5161203910974856019777423
4. ! [X0] : ((~brave(X0) | ~old(X0)) => creative(X0)) [input p3]
6. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~creative(X0) <~> rich(X0))) [input p5]
9. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (old(X0) | ~brave(X0)... | 0 |
Everyone who is not rich or not humble is tall and vice versa. Everyone who is kind or brave is both humble and not curious and vice versa. Everyone who is not tall or not funny is calm. If someone is either not curious or quiet then john is not tall or not patient and vice versa. Everyone who is rich is not kind and v... | Mary is kind. | entailment | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(![X]:((kind(X)|brave(X))<=>(humble(X)&~curious(X))))&
(![X]:((~tall(X)|~funny(X))=>calm(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>((~tall(john)|~patient(john))))&
(![X]:(rich(X)<=>~kind(X)))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:(~funny(X)<=>... | kind(mary) | [
"p2",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1168477461174564800444232
% SZS output start Proof for 1168477461174564800444232
3. ! [X0] : ((~funny(X0) | ~tall(X0)) => calm(X0)) [input p2]
5. ! [X0] : (rich(X0) <=> ~kind(X0)) [input p4]
9. ! [X0] : (funny(X0) => ~creative(X0)) [input p8]
14. ! [X0] : (rich(X0) => creative(X0)) [input... | 0 |
Everyone who is either quiet or tall is both not strong and wise.
Everyone who is kind or strong is either not tall or not quiet.
Everyone who is rich or not patient is either not generous or quiet and vice versa.
Everyone who is either tall or not creative is strong or patient and vice versa.
Everyone who is either no... | Susan is not tall. | entailment | (![X]:((quiet(X)<~>tall(X))=>(~strong(X)&wise(X))))&
(![X]:((kind(X)|strong(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((rich(X)|~patient(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(strong(X)|patient(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>kind(X)))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((wise(X)&~... | ~tall(susan) | [
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 784458031743992598336173
% SZS output start Proof for 784458031743992598336173
4. ! [X0] : ((tall(X0) <~> ~creative(X0)) <=> (patient(X0) | strong(X0))) [input p3]
7. ! [X0] : ((~funny(X0) <~> old(X0)) <=> (patient(X0) & old(X0))) [input p6]
9. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (p... | 0 |
If someone is either not old or humble then someone is both curious and creative.
If susan is both not humble and not brave then someone is either not creative or kind and vice versa.
Everyone who is curious is either curious or tall and vice versa.
Everyone who is both creative and wise is creative or patient and vice... | John is not creative. | contradiction | ((?[X]:((~old(X)<~>humble(X))))=>(?[X]:((curious(X)&creative(X)))))&
(((~humble(susan)&~brave(susan)))<=>(?[X]:((~creative(X)<~>kind(X)))))&
(![X]:(curious(X)<=>(curious(X)<~>tall(X))))&
(![X]:((creative(X)&wise(X))<=>(creative(X)|patient(X))))&
(((~funny(fred)&curious(fred)))<=>((~brave(lucy)|~generous(lucy))))&
((?[X... | ~creative(john) | [
"p2",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3223732154683424035547010
% SZS output start Proof for 3223732154683424035547010
3. ! [X0] : (curious(X0) <=> (curious(X0) <~> tall(X0))) [input p2]
7. ! [X0] : ((~funny(X0) | ~creative(X0)) => (curious(X0) & funny(X0))) [input p6]
11. ? [X0] : (~wise(X0) & ~brave(X0)) <=> ? [X0] : curiou... | 0 |
Everyone who is not strong or not old is creative or tall.
If someone is not old or not rich then someone is either not funny or curious and vice versa.
Everyone who is both not kind and not brave is either not wise or generous and vice versa.
If lucy is both not generous and not tall then lucy is either calm or not ge... | Fred is strong. | neutral | (![X]:((~strong(X)|~old(X))=>(creative(X)|tall(X))))&
((?[X]:((~old(X)|~rich(X))))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((~kind(X)&~brave(X))<=>(~wise(X)<~>generous(X))))&
(((~generous(lucy)&~tall(lucy)))<=>((calm(lucy)<~>~generous(lucy))))&
(![X]:((kind(X)&~patient(X))<=>(~brave(X)<~>patient(X))))&
(((brave(joh... | strong(fred) | [] | null | 0 |
If someone is funny then alice is not generous or generous and vice versa.
Everyone who is kind or strong is either humble or happy.
Everyone who is kind is both not strong and rich.
Everyone who is strong or not creative is not generous and vice versa.
Everyone who is either not strong or not tall is either creative o... | Mary is curious. | contradiction | ((?[X]:(funny(X)))<=>((~generous(alice)|generous(alice))))&
(![X]:((kind(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:(kind(X)=>(~strong(X)&rich(X))))&
(![X]:((strong(X)|~creative(X))<=>~generous(X)))&
(![X]:((~strong(X)<~>~tall(X))<=>(creative(X)<~>wise(X))))&
(![X]:((curious(X)|rich(X))<=>(~old(X)|~curious(X))))&
(... | curious(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 26737843173428978440254
% SZS output start Proof for 26737843173428978440254
10. ! [X0] : (curious(X0) <=> (~curious(X0) & brave(X0))) [input p9]
20. curious(mary) [input hypothesis]
48. ! [X0] : ((curious(X0) | (curious(X0) | ~brave(X0))) & ((~curious(X0) & brave(X0)) | ~curious(X0))) [n... | 0 |
If mary is patient then mary is both not creative and not kind and vice versa.
Everyone who is humble is both creative and not old.
If someone is either happy or creative then someone is either not happy or not strong and vice versa.
If alice is brave or not kind then someone is not patient and vice versa.
Everyone who... | Mary is not old. | neutral | ((patient(mary))<=>((~creative(mary)&~kind(mary))))&
(![X]:(humble(X)=>(creative(X)&~old(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((~happy(X)<~>~strong(X)))))&
(((brave(alice)|~kind(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((~curious(X)|strong(X))=>(curious(X)|funny(X))))&
(![X]:((~wise(X)|~tall(X))=>(generous(... | ~old(mary) | [] | null | 0 |
If alice is either not funny or not happy then someone is not rich and vice versa. If someone is both strong and kind then paul is wise. If fred is both not calm and strong then someone is either not curious or not calm and vice versa. If someone is both not humble and not strong then fred is strong. Everyone who is bo... | Lucy is generous. | entailment | (((~funny(alice)<~>~happy(alice)))<=>(?[X]:(~rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(wise(paul)))&
(((~calm(fred)&strong(fred)))<=>(?[X]:((~curious(X)<~>~calm(X)))))&
((?[X]:((~humble(X)&~strong(X))))=>(strong(fred)))&
(![X]:((humble(X)&brave(X))<=>(~old(X)|~generous(X))))&
((?[X]:((generous(X)|~old(X))))=>(?[X]:((... | generous(lucy) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 74322673874276526280094
% SZS output start Proof for 74322673874276526280094
5. ! [X0] : ((brave(X0) & humble(X0)) <=> (~generous(X0) | ~old(X0))) [input p4]
19. ~brave(lucy) & wise(lucy) [input p18]
25. ~generous(lucy) [input hypothesis]
46. ! [X0] : (((brave(X0) & humble(X0)) | (generou... | 0 |
If mary is not wise then susan is not brave and vice versa. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curious is b... | Fred is calm. | contradiction | ((~wise(mary))<=>(~brave(susan)))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))&
(![X]:(~brave(X)=... | calm(fred) | [
"p1",
"p2",
"p5",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2210512474068615456175362
% SZS output start Proof for 2210512474068615456175362
2. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (kind(X0) & happy(X0))) [input p1]
3. (curious(fred) & ~calm(fred)) <=> ~kind(alice) [input p2]
6. ! [X0] : ((~kind(X0) <~> brave(X0)) <=> (~happy(X0) & ~patient(X... | 0 |
If alice is either rich or kind then alice is kind or not brave and vice versa.
If someone is not calm or creative then someone is curious or not patient and vice versa.
If someone is curious or humble then someone is either funny or strong and vice versa.
Everyone who is not curious is not rich or happy.
If alice is b... | Alice is not generous. | entailment | (((rich(alice)<~>kind(alice)))<=>((kind(alice)|~brave(alice))))&
((?[X]:((~calm(X)|creative(X))))<=>(?[X]:((curious(X)|~patient(X)))))&
((?[X]:((curious(X)|humble(X))))<=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:(~curious(X)=>(~rich(X)|happy(X))))&
(((~happy(alice)&~old(alice)))<=>(~happy(mary)))&
(![X]:((quiet(X)<~>kin... | ~generous(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5786802779927411496890178
% SZS output start Proof for 5786802779927411496890178
18. ~generous(alice) [input p17]
25. generous(alice) [input hypothesis]
139. ~generous(alice) [cnf transformation 18]
149. generous(alice) [cnf transformation 25]
252. 23 <=> generous(alice) [avatar definitio... | 0 |
If someone is both wise and not kind then john is generous.
Everyone who is patient or strong is both humble and not kind and vice versa.
If someone is funny then someone is not strong and vice versa.
Everyone who is either not happy or happy is both not tall and strong and vice versa.
Everyone who is not quiet is eith... | Fred is not creative. | entailment | ((?[X]:((wise(X)&~kind(X))))=>(generous(john)))&
(![X]:((patient(X)|strong(X))<=>(humble(X)&~kind(X))))&
((?[X]:(funny(X)))<=>(?[X]:(~strong(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(~tall(X)&strong(X))))&
(![X]:(~quiet(X)=>(~kind(X)<~>calm(X))))&
(![X]:((curious(X)&creative(X))=>(~quiet(X)|~rich(X))))&
((?[X]:((quiet(X)... | ~creative(fred) | [
"p2",
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9220657483934816149517518
% SZS output start Proof for 9220657483934816149517518
3. ? [X0] : funny(X0) <=> ? [X0] : ~strong(X0) [input p2]
4. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (strong(X0) & ~tall(X0))) [input p3]
12. ? [X0] : (~quiet(X0) | old(X0)) => ? [X0] : (funny(X0) & happy(X0... | 0 |
If susan is not patient or not calm then someone is either funny or not calm and vice versa.
If fred is both not creative and not tall then paul is kind and vice versa.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
Everyone who is brave or not wise is both not rich and creative an... | Alice is not kind. | entailment | (((~patient(susan)|~calm(susan)))<=>(?[X]:((funny(X)<~>~calm(X)))))&
(((~creative(fred)&~tall(fred)))<=>(kind(paul)))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curious(X)<=>(curious(X)<~>humble(X))))&
(((~creative(alice)<~>curious(alice)))... | ~kind(alice) | [
"p2",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6600135787783766962559232
% SZS output start Proof for 6600135787783766962559232
3. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (quiet(X0) & ~creative(X0))) [input p2]
5. ! [X0] : (curious(X0) <=> (curious(X0) <~> humble(X0))) [input p4]
11. ? [X0] : (wise(X0) | ~creative(X0)) => humble(fre... | 0 |
Everyone who is both not strong and old is either not wise or humble.
If someone is happy or patient then fred is either kind or not curious and vice versa.
Everyone who is either not quiet or patient is either funny or old.
Everyone who is not humble is either not funny or brave.
If someone is either not quiet or not ... | Fred is not calm. | entailment | (![X]:((~strong(X)&old(X))=>(~wise(X)<~>humble(X))))&
((?[X]:((happy(X)|patient(X))))<=>((kind(fred)<~>~curious(fred))))&
(![X]:((~quiet(X)<~>patient(X))=>(funny(X)<~>old(X))))&
(![X]:(~humble(X)=>(~funny(X)<~>brave(X))))&
((?[X]:((~quiet(X)<~>~creative(X))))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((brave(X)&~happy(X... | ~calm(fred) | [
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 162741499403607679696455
% SZS output start Proof for 162741499403607679696455
9. ! [X0] : (~calm(X0) <=> (rich(X0) | happy(X0))) [input p8]
12. ! [X0] : ((~humble(X0) & calm(X0)) <=> ~rich(X0)) [input p11]
13. ! [X0] : (happy(X0) <=> (~calm(X0) | ~rich(X0))) [input p12]
21. calm(fred) [i... | 0 |
Everyone who is either curious or not happy is both patient and not funny and vice versa.
If fred is both happy and quiet then lucy is not patient or not wise and vice versa.
If john is both not humble and not calm then mary is both not rich and funny.
Everyone who is either strong or curious is not tall or not quiet a... | John is not funny. | neutral | (![X]:((curious(X)<~>~happy(X))<=>(patient(X)&~funny(X))))&
(((happy(fred)&quiet(fred)))<=>((~patient(lucy)|~wise(lucy))))&
(((~humble(john)&~calm(john)))=>((~rich(mary)&funny(mary))))&
(![X]:((strong(X)<~>curious(X))<=>(~tall(X)|~quiet(X))))&
(![X]:((rich(X)|~quiet(X))<=>(humble(X)|calm(X))))&
(![X]:((~quiet(X)|patien... | ~funny(john) | [] | null | 0 |
If someone is either calm or not curious then lucy is either creative or not tall.
Everyone who is either strong or brave is creative.
If someone is tall then fred is not quiet or not generous.
Everyone who is not kind is either not brave or not humble.
If paul is both not humble and not funny then lucy is not creative... | Paul is not creative. | neutral | ((?[X]:((calm(X)<~>~curious(X))))=>((creative(lucy)<~>~tall(lucy))))&
(![X]:((strong(X)<~>brave(X))=>creative(X)))&
((?[X]:(tall(X)))=>((~quiet(fred)|~generous(fred))))&
(![X]:(~kind(X)=>(~brave(X)<~>~humble(X))))&
(((~humble(paul)&~funny(paul)))<=>(~creative(lucy)))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)<~>creative... | ~creative(paul) | [] | null | 0 |
If paul is not old or happy then paul is calm or brave. Everyone who is either not happy or humble is either not funny or tall. If susan is either humble or happy then someone is strong. If someone is either not curious or kind then john is both not rich and not happy. If someone is not generous or not patient then som... | Susan is humble. | neutral | (((~old(paul)|happy(paul)))=>((calm(paul)|brave(paul))))&
(![X]:((~happy(X)<~>humble(X))=>(~funny(X)<~>tall(X))))&
(((humble(susan)<~>happy(susan)))=>(?[X]:(strong(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>((~rich(john)&~happy(john))))&
((?[X]:((~generous(X)|~patient(X))))=>(?[X]:((~humble(X)<~>~funny(X)))))&
(![X]:((g... | humble(susan) | [] | null | 0 |
Everyone who is either not patient or kind is strong and vice versa.
Everyone who is either wise or rich is patient and vice versa.
If someone is not wise or not curious then paul is calm.
Everyone who is not patient or old is not generous.
If mary is either not kind or not wise then someone is either not happy or tall... | Susan is brave. | contradiction | (![X]:((~patient(X)<~>kind(X))<=>strong(X)))&
(![X]:((wise(X)<~>rich(X))<=>patient(X)))&
((?[X]:((~wise(X)|~curious(X))))=>(calm(paul)))&
(![X]:((~patient(X)|old(X))=>~generous(X)))&
(((~kind(mary)<~>~wise(mary)))<=>(?[X]:((~happy(X)<~>tall(X)))))&
(((~wise(fred)&~tall(fred)))=>(?[X]:(~funny(X))))&
((?[X]:(quiet(X)))=>... | brave(susan) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5138666408710046400967223
% SZS output start Proof for 5138666408710046400967223
12. ! [X0] : (~patient(X0) <=> (humble(X0) & ~brave(X0))) [input p11]
13. ! [X0] : ((wise(X0) | patient(X0)) => (~brave(X0) & patient(X0))) [input p12]
25. brave(susan) [input hypothesis]
38. ! [X0] : ((~brav... | 0 |
If susan is not brave or rich then john is quiet and vice versa.
Everyone who is not kind or not humble is curious and vice versa.
If fred is patient or not tall then alice is not happy and vice versa.
Everyone who is not quiet or not generous is curious and vice versa.
Everyone who is not rich or curious is either wis... | Alice is calm. | contradiction | (((~brave(susan)|rich(susan)))<=>(quiet(john)))&
(![X]:((~kind(X)|~humble(X))<=>curious(X)))&
(((patient(fred)|~tall(fred)))<=>(~happy(alice)))&
(![X]:((~quiet(X)|~generous(X))<=>curious(X)))&
(![X]:((~rich(X)|curious(X))=>(wise(X)<~>~creative(X))))&
(![X]:((calm(X)<~>~funny(X))<=>~funny(X)))&
((?[X]:((~tall(X)<~>~pati... | calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2515713061788497948159037
% SZS output start Proof for 2515713061788497948159037
6. ! [X0] : ((calm(X0) <~> ~funny(X0)) <=> ~funny(X0)) [input p5]
25. calm(alice) [input hypothesis]
49. ! [X0] : ((((funny(X0) | ~calm(X0)) & (~funny(X0) | calm(X0))) | funny(X0)) & (~funny(X0) | ((calm(X0) ... | 0 |
If mary is both rich and not brave then mary is generous.
Everyone who is calm or happy is both not rich and not wise.
Everyone who is not humble is calm and vice versa.
If someone is patient then someone is creative.
If someone is both generous and not creative then lucy is not old.
Everyone who is not tall or brave i... | John is not tall. | neutral | (((rich(mary)&~brave(mary)))=>(generous(mary)))&
(![X]:((calm(X)|happy(X))=>(~rich(X)&~wise(X))))&
(![X]:(~humble(X)<=>calm(X)))&
((?[X]:(patient(X)))=>(?[X]:(creative(X))))&
((?[X]:((generous(X)&~creative(X))))=>(~old(lucy)))&
(![X]:((~tall(X)|brave(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~strong(X)|calm(X))=>(humble(... | ~tall(john) | [] | null | 0 |
Everyone who is either kind or not brave is both not kind and kind and vice versa.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not pati... | Mary is not calm. | neutral | (![X]:((kind(X)<~>~brave(X))<=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)... | ~calm(mary) | [] | null | 0 |
Everyone who is either quiet or calm is both funny and old. Everyone who is either kind or not tall is both calm and not creative and vice versa. Everyone who is either not wise or curious is both quiet and humble and vice versa. If someone is both not brave and not wise then susan is both not happy and not patient and... | Mary is happy. | entailment | (![X]:((quiet(X)<~>calm(X))=>(funny(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))<=>(calm(X)&~creative(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(quiet(X)&humble(X))))&
((?[X]:((~brave(X)&~wise(X))))<=>((~happy(susan)&~patient(susan))))&
(![X]:((~creative(X)|creative(X))<=>(quiet(X)|wise(X))))&
(((funny(paul)&tall(paul)))<=>... | happy(mary) | [
"p0",
"p2",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8428626595353098488303724
% SZS output start Proof for 8428626595353098488303724
1. ! [X0] : ((quiet(X0) <~> calm(X0)) => (old(X0) & funny(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (humble(X0) & quiet(X0))) [input p2]
5. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (wi... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Susan is not generous. | entailment | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | ~generous(susan) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1669062834133796741305542
% SZS output start Proof for 1669062834133796741305542
1. ! [X0] : (~old(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((old(X0) | ~patient(X0)) <=> (quiet(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (generous(X0) <~> ~old(... | 0 |
If john is strong or not wise then john is either funny or not humble and vice versa.
Everyone who is not strong is both not kind and not brave and vice versa.
If fred is either old or not brave then someone is quiet and vice versa.
Everyone who is kind or calm is both patient and happy and vice versa.
If alice is happ... | Alice is brave. | entailment | (((strong(john)|~wise(john)))<=>((funny(john)<~>~humble(john))))&
(![X]:(~strong(X)<=>(~kind(X)&~brave(X))))&
(((old(fred)<~>~brave(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&happy(X))))&
(((happy(alice)|brave(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~wise(X)|funny(X))))&... | brave(alice) | [
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7567619497309015350905570
% SZS output start Proof for 7567619497309015350905570
4. ! [X0] : ((calm(X0) | kind(X0)) <=> (happy(X0) & patient(X0))) [input p3]
5. (brave(alice) | happy(alice)) <=> ? [X0] : ~kind(X0) [input p4]
11. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~quiet(X0) & ~hap... | 0 |
If someone is not patient or brave then someone is not generous or tall.
If someone is not tall then someone is either generous or curious and vice versa.
Everyone who is quiet or not wise is not calm and vice versa.
Everyone who is humble or wise is both not kind and patient.
Everyone who is either old or not curious ... | Alice is old. | contradiction | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((~generous(X)|tall(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((quiet(X)|~wise(X))<=>~calm(X)))&
(![X]:((humble(X)|wise(X))=>(~kind(X)&patient(X))))&
(![X]:((old(X)<~>~curious(X))<=>(quiet(X)|~quiet(X))))&
(![X]:(~patient(X)=>(brave(X)&~patient(X)))... | old(alice) | [
"p2",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6804441980947994542668404
% SZS output start Proof for 6804441980947994542668404
3. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~calm(X0)) [input p2]
8. ! [X0] : (old(X0) => (~kind(X0) & generous(X0))) [input p7]
12. ! [X0] : ((calm(X0) | old(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p11]
1... | 0 |
If someone is not tall then fred is both not quiet and not creative and vice versa.
Everyone who is either not wise or not brave is both not creative and quiet.
Everyone who is calm is humble or not creative and vice versa.
Everyone who is not generous is either not calm or wise and vice versa.
Everyone who is both pat... | Paul is wise. | entailment | ((?[X]:(~tall(X)))<=>((~quiet(fred)&~creative(fred))))&
(![X]:((~wise(X)<~>~brave(X))=>(~creative(X)&quiet(X))))&
(![X]:(calm(X)<=>(humble(X)|~creative(X))))&
(![X]:(~generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((patient(X)&curious(X))=>(~humble(X)<~>old(X))))&
(((~creative(john)<~>brave(john)))=>((happy(john)&strong(j... | wise(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 29504281467615340993268
% SZS output start Proof for 29504281467615340993268
24. wise(paul) & ~tall(paul) [input p23]
25. ~wise(paul) [input hypothesis]
153. wise(paul) [cnf transformation 24]
154. ~wise(paul) [cnf transformation 25]
317. $false [subsumption resolution 154,153]
% SZS outp... | 0 |
Everyone who is both curious and funny is not creative or not strong and vice versa.
Everyone who is not rich or not wise is humble or rich.
If someone is either not kind or not creative then someone is not patient or old and vice versa.
If mary is both creative and not funny then susan is not tall and vice versa.
Ever... | John is not funny. | contradiction | (![X]:((curious(X)&funny(X))<=>(~creative(X)|~strong(X))))&
(![X]:((~rich(X)|~wise(X))=>(humble(X)|rich(X))))&
((?[X]:((~kind(X)<~>~creative(X))))<=>(?[X]:((~patient(X)|old(X)))))&
(((creative(mary)&~funny(mary)))<=>(~tall(susan)))&
(![X]:((~happy(X)<~>~kind(X))=>(curious(X)|funny(X))))&
(![X]:((~old(X)&calm(X))<=>(~cr... | ~funny(john) | [
"p5",
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5407119669383994455232415
% SZS output start Proof for 5407119669383994455232415
6. ! [X0] : ((calm(X0) & ~old(X0)) <=> (curious(X0) | ~creative(X0))) [input p5]
8. ! [X0] : (~quiet(X0) <=> (~calm(X0) <~> old(X0))) [input p7]
12. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> (~generous(X0) & cu... | 0 |
Everyone who is both not brave and not creative is not calm or not curious and vice versa.
If someone is either not creative or calm then lucy is either not kind or generous.
Everyone who is either humble or not generous is either not patient or generous.
Everyone who is wise or not wise is funny.
If someone is either ... | Susan is humble. | contradiction | (![X]:((~brave(X)&~creative(X))<=>(~calm(X)|~curious(X))))&
((?[X]:((~creative(X)<~>calm(X))))=>((~kind(lucy)<~>generous(lucy))))&
(![X]:((humble(X)<~>~generous(X))=>(~patient(X)<~>generous(X))))&
(![X]:((wise(X)|~wise(X))=>funny(X)))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((~rich(X)<~>quiet(X)))))&
(![X]:((~strong(... | humble(susan) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7742415748644632501271054
% SZS output start Proof for 7742415748644632501271054
4. ! [X0] : ((~wise(X0) | wise(X0)) => funny(X0)) [input p3]
6. ! [X0] : ((~funny(X0) & ~strong(X0)) <=> (~creative(X0) | humble(X0))) [input p5]
24. humble(susan) [input hypothesis]
28. ! [X0] : (funny(X0) |... | 0 |
Everyone who is either not creative or brave is both not curious and not rich and vice versa.
Everyone who is either not old or funny is not brave and vice versa.
Everyone who is not funny or old is both generous and creative.
If john is either calm or not strong then alice is funny.
Everyone who is not old is both not... | Mary is kind. | neutral | (![X]:((~creative(X)<~>brave(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~old(X)<~>funny(X))<=>~brave(X)))&
(![X]:((~funny(X)|old(X))=>(generous(X)&creative(X))))&
(((calm(john)<~>~strong(john)))=>(funny(alice)))&
(![X]:(~old(X)<=>(~quiet(X)&~generous(X))))&
(![X]:((wise(X)<~>curious(X))<=>(~brave(X)|~strong(X))))&
(![X]:(... | kind(mary) | [] | null | 0 |
If mary is either curious or not creative then someone is either wise or not funny and vice versa.
If someone is not rich then mary is both not rich and not strong and vice versa.
If mary is both not brave and not creative then someone is not rich.
If alice is either not old or not funny then fred is both generous and ... | Fred is kind. | entailment | (((curious(mary)<~>~creative(mary)))<=>(?[X]:((wise(X)<~>~funny(X)))))&
((?[X]:(~rich(X)))<=>((~rich(mary)&~strong(mary))))&
(((~brave(mary)&~creative(mary)))=>(?[X]:(~rich(X))))&
(((~old(alice)<~>~funny(alice)))<=>((generous(fred)&wise(fred))))&
(((~patient(paul)<~>~generous(paul)))<=>((~humble(mary)&~rich(mary))))&
(... | kind(fred) | [
"p9",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4817208560386211871978224
% SZS output start Proof for 4817208560386211871978224
10. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (~calm(X0) | old(X0))) [input p9]
15. ! [X0] : (~calm(X0) <=> ~old(X0)) [input p14]
16. ! [X0] : ((~brave(X0) <~> kind(X0)) => (strong(X0) & kind(X0))) [input p1... | 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 happy or not calm is either not happy or not calm. Everyone who is not curious is not strong. If alice is quiet or not kind t... | John is humble. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~happy(X)<~>~calm(X))))&
(![X]:(~curious(X)=>~strong(X)))&
(((quiet(alice)|~kind(alice)))<=>((~generous(susan)<~>~rich(susan))))&
((?[X]:(~brave(X)))<=>(happy(john)))&
((~curious(j... | humble(john) | [
"p3",
"p6",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3738004102363340877160975
% SZS output start Proof for 3738004102363340877160975
4. ! [X0] : (~curious(X0) => ~strong(X0)) [input p3]
7. ~curious(john) <=> ? [X0] : ~tall(X0) [input p6]
8. ! [X0] : (old(X0) => (~kind(X0) & ~old(X0))) [input p7]
13. ! [X0] : ((~curious(X0) | ~strong(X0)) =... | 0 |
If someone is both generous and quiet then someone is curious.
Everyone who is both not quiet and not humble is either funny or not humble.
Everyone who is both not kind and wise is both curious and strong and vice versa.
Everyone who is both humble and tall is both not generous and funny and vice versa.
If john is eit... | Mary is brave. | neutral | ((?[X]:((generous(X)&quiet(X))))=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)&~humble(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~kind(X)&wise(X))<=>(curious(X)&strong(X))))&
(![X]:((humble(X)&tall(X))<=>(~generous(X)&funny(X))))&
(((old(john)<~>~curious(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((ta... | brave(mary) | [] | null | 0 |
If lucy is either not humble or funny then lucy is either not happy or humble.
If paul is both patient and generous then john is either not creative or quiet and vice versa.
Everyone who is happy or not strong is wise.
Everyone who is not wise is either patient or quiet and vice versa.
If john is both creative and tall... | Paul is not calm. | contradiction | (((~humble(lucy)<~>funny(lucy)))=>((~happy(lucy)<~>humble(lucy))))&
(((patient(paul)&generous(paul)))<=>((~creative(john)<~>quiet(john))))&
(![X]:((happy(X)|~strong(X))=>wise(X)))&
(![X]:(~wise(X)<=>(patient(X)<~>quiet(X))))&
(((creative(john)&tall(john)))<=>(?[X]:(~curious(X))))&
(![X]:(curious(X)=>(calm(X)<~>curious(... | ~calm(paul) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1873489105609887690288691
% SZS output start Proof for 1873489105609887690288691
9. ! [X0] : ((creative(X0) | ~generous(X0)) => generous(X0)) [input p8]
15. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~calm(X0) | quiet(X0))) [input p14]
25. ~calm(paul) [input hypothesis]
34. ! [X0] : (gener... | 0 |
Everyone who is either not patient or kind is not strong and vice versa.
Everyone who is not funny or not old is tall or happy.
If lucy is both not tall and not humble then someone is either not strong or kind.
If someone is humble then someone is both calm and funny and vice versa.
If someone is not kind or not creati... | Lucy is tall. | neutral | (![X]:((~patient(X)<~>kind(X))<=>~strong(X)))&
(![X]:((~funny(X)|~old(X))=>(tall(X)|happy(X))))&
(((~tall(lucy)&~humble(lucy)))=>(?[X]:((~strong(X)<~>kind(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((calm(X)&funny(X)))))&
((?[X]:((~kind(X)|~creative(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((quiet(X)<~>curious(X))))=>(... | tall(lucy) | [] | null | 0 |
Everyone who is both not creative and patient is curious and vice versa. If john is both not brave and not wise then someone is either humble or not strong. If someone is humble or not happy then someone is either patient or not old and vice versa. If fred is not strong or not generous then john is not tall or not kind... | Fred is humble. | contradiction | (![X]:((~creative(X)&patient(X))<=>curious(X)))&
(((~brave(john)&~wise(john)))=>(?[X]:((humble(X)<~>~strong(X)))))&
((?[X]:((humble(X)|~happy(X))))<=>(?[X]:((patient(X)<~>~old(X)))))&
(((~strong(fred)|~generous(fred)))<=>((~tall(john)|~kind(john))))&
((~rich(lucy))<=>(?[X]:(~patient(X))))&
(![X]:((~curious(X)|patient(X... | humble(fred) | [
"p0",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2640360939955115730730686
% SZS output start Proof for 2640360939955115730730686
1. ! [X0] : ((patient(X0) & ~creative(X0)) <=> curious(X0)) [input p0]
6. ! [X0] : ((patient(X0) | ~curious(X0)) => ~humble(X0)) [input p5]
19. curious(fred) [input p18]
25. humble(fred) [input hypothesis]
31... | 0 |
Everyone who is both old and not quiet is not wise or not calm and vice versa.
If lucy is either not happy or not funny then fred is either not happy or not strong and vice versa.
Everyone who is not calm or patient is quiet.
Everyone who is both not old and not creative is not happy.
If someone is not creative or stro... | Fred is curious. | neutral | (![X]:((old(X)&~quiet(X))<=>(~wise(X)|~calm(X))))&
(((~happy(lucy)<~>~funny(lucy)))<=>((~happy(fred)<~>~strong(fred))))&
(![X]:((~calm(X)|patient(X))=>quiet(X)))&
(![X]:((~old(X)&~creative(X))=>~happy(X)))&
((?[X]:((~creative(X)|strong(X))))<=>((~curious(paul)|patient(paul))))&
(![X]:((~wise(X)&humble(X))=>(patient(X)<... | curious(fred) | [] | null | 0 |
If someone is patient or not humble then someone is not patient or not strong.
If alice is either curious or not kind then someone is both not brave and quiet.
If fred is old then someone is not happy and vice versa.
Everyone who is rich or humble is both calm and funny and vice versa.
Everyone who is generous is happy... | Alice is kind. | neutral | ((?[X]:((patient(X)|~humble(X))))=>(?[X]:((~patient(X)|~strong(X)))))&
(((curious(alice)<~>~kind(alice)))=>(?[X]:((~brave(X)&quiet(X)))))&
((old(fred))<=>(?[X]:(~happy(X))))&
(![X]:((rich(X)|humble(X))<=>(calm(X)&funny(X))))&
(![X]:(generous(X)<=>happy(X)))&
(![X]:((funny(X)&curious(X))=>(patient(X)<~>~tall(X))))&
(![X... | kind(alice) | [] | null | 0 |
Everyone who is both quiet and not curious is generous or not curious.
If someone is not happy then someone is either funny or brave.
Everyone who is not humble or not calm is not happy or not funny.
Everyone who is creative or calm is strong.
Everyone who is not old is old or creative and vice versa.
If someone is not... | Alice is kind. | contradiction | (![X]:((quiet(X)&~curious(X))=>(generous(X)|~curious(X))))&
((?[X]:(~happy(X)))=>(?[X]:((funny(X)<~>brave(X)))))&
(![X]:((~humble(X)|~calm(X))=>(~happy(X)|~funny(X))))&
(![X]:((creative(X)|calm(X))=>strong(X)))&
(![X]:(~old(X)<=>(old(X)|creative(X))))&
((?[X]:(~wise(X)))=>(~brave(mary)))&
(![X]:((~funny(X)<~>~curious(X... | kind(alice) | [
"p4",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1708165808244715237628879
% SZS output start Proof for 1708165808244715237628879
5. ! [X0] : (~old(X0) <=> (creative(X0) | old(X0))) [input p4]
7. ! [X0] : ((~funny(X0) <~> ~curious(X0)) <=> (brave(X0) | kind(X0))) [input p6]
10. ! [X0] : ((kind(X0) & ~curious(X0)) <=> (~creative(X0) | ~f... | 0 |
Everyone who is not rich is both calm and kind and vice versa. If someone is strong or not wise then someone is rich or creative and vice versa. Everyone who is both not brave and not curious is either creative or not happy and vice versa. If someone is either generous or not tall then someone is not curious or curious... | Fred is happy. | neutral | (![X]:(~rich(X)<=>(calm(X)&kind(X))))&
((?[X]:((strong(X)|~wise(X))))<=>(?[X]:((rich(X)|creative(X)))))&
(![X]:((~brave(X)&~curious(X))<=>(creative(X)<~>~happy(X))))&
((?[X]:((generous(X)<~>~tall(X))))<=>(?[X]:((~curious(X)|curious(X)))))&
(((humble(lucy)|funny(lucy)))=>(?[X]:((quiet(X)&wise(X)))))&
((~old(john))<=>(?[... | happy(fred) | [] | null | 0 |
Everyone who is funny or rich is either funny or patient and vice versa. Everyone who is wise is quiet or not patient and vice versa. If someone is not old or not patient then someone is either humble or creative and vice versa. Everyone who is not curious or not rich is either not strong or brave and vice versa. If so... | John is not quiet. | neutral | (![X]:((funny(X)|rich(X))<=>(funny(X)<~>patient(X))))&
(![X]:(wise(X)<=>(quiet(X)|~patient(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((humble(X)<~>creative(X)))))&
(![X]:((~curious(X)|~rich(X))<=>(~strong(X)<~>brave(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:(~happy(X)))<=>((tall(john)|~strong... | ~quiet(john) | [] | null | 0 |
If john is both not brave and curious then someone is creative and vice versa. Everyone who is not wise or brave is brave or not old and vice versa. Everyone who is funny or not generous is both patient and old. Everyone who is either not funny or wise is brave and vice versa. Everyone who is wise or not kind is not pa... | Mary is brave. | entailment | (((~brave(john)&curious(john)))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|brave(X))<=>(brave(X)|~old(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)&old(X))))&
(![X]:((~funny(X)<~>wise(X))<=>brave(X)))&
(![X]:((wise(X)|~kind(X))<=>~patient(X)))&
(![X]:(creative(X)=>patient(X)))&
((?[X]:((~generous(X)|rich(X))))=>(?[... | brave(mary) | [
"p2",
"p3",
"p4",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6757570965738975833399116
% SZS output start Proof for 6757570965738975833399116
3. ! [X0] : ((~generous(X0) | funny(X0)) => (old(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> brave(X0)) [input p3]
5. ! [X0] : ((~kind(X0) | wise(X0)) <=> ~patient(X0)) [input p4... | 0 |
Everyone who is both kind and creative is either not old or not brave and vice versa. Everyone who is both not generous and humble is either not funny or brave. Everyone who is not brave is not rich or rich and vice versa. If someone is either not wise or not quiet then someone is either curious or not quiet. Everyone ... | Alice is brave. | contradiction | (![X]:((kind(X)&creative(X))<=>(~old(X)<~>~brave(X))))&
(![X]:((~generous(X)&humble(X))=>(~funny(X)<~>brave(X))))&
(![X]:(~brave(X)<=>(~rich(X)|rich(X))))&
((?[X]:((~wise(X)<~>~quiet(X))))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(![X]:((strong(X)<~>~old(X))<=>(happy(X)&creative(X))))&
(((tall(paul)|~calm(paul)))=>((humble... | brave(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4856647210649382896163893
% SZS output start Proof for 4856647210649382896163893
3. ! [X0] : (~brave(X0) <=> (rich(X0) | ~rich(X0))) [input p2]
24. brave(alice) [input hypothesis]
44. ! [X0] : ((~brave(X0) | (~rich(X0) & rich(X0))) & ((rich(X0) | ~rich(X0)) | brave(X0))) [nnf transformati... | 0 |
If someone is not patient or brave then someone is both happy and not happy. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who is happy or not funny is not tall or not humble and vice versa. If someone is rich then someone is not funny.... | Susan is not wise. | neutral | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~... | ~wise(susan) | [] | null | 0 |
Everyone who is funny is both patient and kind and vice versa.
Everyone who is either curious or not generous is not happy or not funny and vice versa.
If fred is calm then john is wise and vice versa.
If susan is both not kind and old then someone is both patient and not wise and vice versa.
Everyone who is either cur... | Susan is old. | neutral | (![X]:(funny(X)<=>(patient(X)&kind(X))))&
(![X]:((curious(X)<~>~generous(X))<=>(~happy(X)|~funny(X))))&
((calm(fred))<=>(wise(john)))&
(((~kind(susan)&old(susan)))<=>(?[X]:((patient(X)&~wise(X)))))&
(![X]:((curious(X)<~>rich(X))<=>(~quiet(X)<~>wise(X))))&
(((~rich(mary)&brave(mary)))=>((~rich(alice)|rich(alice))))&
(![... | old(susan) | [] | null | 0 |
If someone is old or not brave then someone is not patient and vice versa.
If fred is not strong then alice is not patient and vice versa.
Everyone who is brave is patient or not wise and vice versa.
If susan is not quiet then someone is rich or generous and vice versa.
Everyone who is both not calm and not creative is... | John is humble. | contradiction | ((?[X]:((old(X)|~brave(X))))<=>(?[X]:(~patient(X))))&
((~strong(fred))<=>(~patient(alice)))&
(![X]:(brave(X)<=>(patient(X)|~wise(X))))&
((~quiet(susan))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((~calm(X)&~creative(X))=>old(X)))&
(![X]:((~old(X)&~wise(X))<=>~brave(X)))&
(![X]:(curious(X)=>(creative(X)&~wise(X))))&
(![X... | humble(john) | [
"p0",
"p2",
"p5",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 68708091297561968076347
% SZS output start Proof for 68708091297561968076347
1. ? [X0] : (~brave(X0) | old(X0)) <=> ? [X0] : ~patient(X0) [input p0]
3. ! [X0] : (brave(X0) <=> (~wise(X0) | patient(X0))) [input p2]
6. ! [X0] : ((~wise(X0) & ~old(X0)) <=> ~brave(X0)) [input p5]
8. ! [X0] : ... | 0 |
Everyone who is old is not creative.
If fred is either not calm or not humble then someone is not patient or patient and vice versa.
Everyone who is not curious or humble is not funny or funny and vice versa.
If someone is both tall and not old then susan is either not happy or not brave.
Everyone who is not happy is e... | Paul is not tall. | entailment | (![X]:(old(X)=>~creative(X)))&
(((~calm(fred)<~>~humble(fred)))<=>(?[X]:((~patient(X)|patient(X)))))&
(![X]:((~curious(X)|humble(X))<=>(~funny(X)|funny(X))))&
((?[X]:((tall(X)&~old(X))))=>((~happy(susan)<~>~brave(susan))))&
(![X]:(~happy(X)<=>(brave(X)<~>patient(X))))&
((?[X]:((~calm(X)|strong(X))))<=>(?[X]:((~old(X)&~... | ~tall(paul) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2863323167726394853291106
% SZS output start Proof for 2863323167726394853291106
12. ! [X0] : ((tall(X0) | ~creative(X0)) => (~wise(X0) & patient(X0))) [input p11]
14. ! [X0] : (tall(X0) => (~patient(X0) <~> wise(X0))) [input p13]
25. tall(paul) [input hypothesis]
32. ! [X0] : ((~wise(X0)... | 0 |
If someone is either not old or not kind then alice is calm or old. Everyone who is both kind and not creative is both generous and not brave. If john is tall or happy then someone is not rich or curious and vice versa. Everyone who is kind or humble is both humble and not old and vice versa. Everyone who is either not... | Mary is not tall. | neutral | ((?[X]:((~old(X)<~>~kind(X))))=>((calm(alice)|old(alice))))&
(![X]:((kind(X)&~creative(X))=>(generous(X)&~brave(X))))&
(((tall(john)|happy(john)))<=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:((kind(X)|humble(X))<=>(humble(X)&~old(X))))&
(![X]:((~generous(X)<~>funny(X))=>(~strong(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X... | ~tall(mary) | [] | null | 0 |
If paul is not funny then lucy is not funny and vice versa.
If john is not calm then mary is not patient or curious.
Everyone who is either not kind or not happy is calm and vice versa.
Everyone who is old is not calm or not kind.
Everyone who is brave is either brave or happy and vice versa.
Everyone who is patient is... | Fred is strong. | entailment | ((~funny(paul))<=>(~funny(lucy)))&
((~calm(john))=>((~patient(mary)|curious(mary))))&
(![X]:((~kind(X)<~>~happy(X))<=>calm(X)))&
(![X]:(old(X)=>(~calm(X)|~kind(X))))&
(![X]:(brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:(patient(X)=>(~patient(X)|~wise(X))))&
(![X]:(funny(X)=>(curious(X)<~>~patient(X))))&
(((~happy(lucy)|ki... | strong(fred) | [
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5301261595830731000377795
% SZS output start Proof for 5301261595830731000377795
11. ! [X0] : (generous(X0) => (~calm(X0) & ~generous(X0))) [input p10]
12. ! [X0] : ((generous(X0) <~> ~rich(X0)) => (strong(X0) & rich(X0))) [input p11]
15. ! [X0] : ((strong(X0) <~> tall(X0)) <=> (patient(X... | 0 |
Everyone who is either not wise or not calm is both patient and strong and vice versa. If someone is either not funny or not calm then john is not strong or humble and vice versa. If someone is not curious then someone is either humble or brave and vice versa. Everyone who is not brave is either not kind or not curious... | Alice is creative. | contradiction | (![X]:((~wise(X)<~>~calm(X))<=>(patient(X)&strong(X))))&
((?[X]:((~funny(X)<~>~calm(X))))<=>((~strong(john)|humble(john))))&
((?[X]:(~curious(X)))<=>(?[X]:((humble(X)<~>brave(X)))))&
(![X]:(~brave(X)<=>(~kind(X)<~>~curious(X))))&
(((~old(susan)&~strong(susan)))<=>((~old(lucy)&~patient(lucy))))&
(![X]:((funny(X)<~>rich(... | creative(alice) | [
"p5",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2982740341489524604478189
% SZS output start Proof for 2982740341489524604478189
6. ! [X0] : ((funny(X0) <~> rich(X0)) <=> (~happy(X0) & ~creative(X0))) [input p5]
9. ! [X0] : (funny(X0) <=> (~rich(X0) | ~tall(X0))) [input p8]
10. ! [X0] : ((~patient(X0) | ~wise(X0)) => (kind(X0) & genero... | 0 |
Everyone who is both not generous and patient is rich and vice versa.
Everyone who is not calm is both patient and curious and vice versa.
Everyone who is not curious is either not tall or humble and vice versa.
If paul is either wise or curious then someone is either funny or not happy.
Everyone who is not tall is gen... | Susan is not rich. | entailment | (![X]:((~generous(X)&patient(X))<=>rich(X)))&
(![X]:(~calm(X)<=>(patient(X)&curious(X))))&
(![X]:(~curious(X)<=>(~tall(X)<~>humble(X))))&
(((wise(paul)<~>curious(paul)))=>(?[X]:((funny(X)<~>~happy(X)))))&
(![X]:(~tall(X)<=>(generous(X)|strong(X))))&
(![X]:((~humble(X)|~old(X))=>(rich(X)|quiet(X))))&
(![X]:(funny(X)<=>s... | ~rich(susan) | [
"p0",
"p8",
"p10",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1304030570916355976318794
% SZS output start Proof for 1304030570916355976318794
1. ! [X0] : ((patient(X0) & ~generous(X0)) <=> rich(X0)) [input p0]
9. ! [X0] : (humble(X0) <=> ~rich(X0)) [input p8]
11. ! [X0] : ((old(X0) | generous(X0)) => (~creative(X0) & quiet(X0))) [input p10]
13. ! [... | 0 |
Everyone who is both brave and not creative is either curious or kind and vice versa.
Everyone who is wise or not curious is both not creative and not patient.
If someone is both not rich and not old then someone is either rich or curious.
Everyone who is both humble and creative is not quiet or kind and vice versa.
Ev... | Susan is strong. | entailment | (![X]:((brave(X)&~creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)&~patient(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((humble(X)&creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((~happy(X)&~funny(X))=>(~strong(X)&happy(X)))... | strong(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5369095715030632775962191
% SZS output start Proof for 5369095715030632775962191
1. ! [X0] : ((~creative(X0) & brave(X0)) <=> (curious(X0) <~> kind(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | wise(X0)) => (~patient(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((creative(X0) & humble(X0)... | 0 |
Everyone who is both not calm and not kind is both quiet and not creative and vice versa.
If someone is either quiet or tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is... | Paul is not creative. | neutral | (![X]:((~calm(X)&~kind(X))<=>(quiet(X)&~creative(X))))&
((?[X]:((quiet(X)<~>tall(X))))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((ri... | ~creative(paul) | [] | null | 0 |
Everyone who is kind is either not humble or brave and vice versa.
If alice is either funny or calm then someone is not brave.
Everyone who is both not generous and not brave is either strong or kind.
Everyone who is both creative and brave is both not happy and not creative.
If mary is not wise then susan is either ha... | John is kind. | neutral | (![X]:(kind(X)<=>(~humble(X)<~>brave(X))))&
(((funny(alice)<~>calm(alice)))=>(?[X]:(~brave(X))))&
(![X]:((~generous(X)&~brave(X))=>(strong(X)<~>kind(X))))&
(![X]:((creative(X)&brave(X))=>(~happy(X)&~creative(X))))&
((~wise(mary))<=>((happy(susan)<~>funny(susan))))&
((?[X]:(humble(X)))=>(~wise(paul)))&
(![X]:((~old(X)|t... | kind(john) | [] | null | 0 |
If paul is old or not quiet then john is either not humble or patient and vice versa. If someone is both not generous and not funny then someone is not quiet. Everyone who is quiet or not curious is both not funny and generous and vice versa. If fred is both humble and not creative then someone is brave or not curious ... | Mary is not rich. | neutral | (((old(paul)|~quiet(paul)))<=>((~humble(john)<~>patient(john))))&
((?[X]:((~generous(X)&~funny(X))))=>(?[X]:(~quiet(X))))&
(![X]:((quiet(X)|~curious(X))<=>(~funny(X)&generous(X))))&
(((humble(fred)&~creative(fred)))<=>(?[X]:((brave(X)|~curious(X)))))&
((generous(fred))<=>(funny(john)))&
(![X]:(~strong(X)<=>(creative(X)... | ~rich(mary) | [] | null | 0 |
If someone is not quiet or not patient then alice is not old or brave and vice versa. If someone is calm or not brave then someone is humble. Everyone who is curious or not funny is funny or wise. Everyone who is both calm and not rich is either not calm or not patient. Everyone who is either humble or not strong is br... | Paul is kind. | neutral | ((?[X]:((~quiet(X)|~patient(X))))<=>((~old(alice)|brave(alice))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:(humble(X))))&
(![X]:((curious(X)|~funny(X))=>(funny(X)|wise(X))))&
(![X]:((calm(X)&~rich(X))=>(~calm(X)<~>~patient(X))))&
(![X]:((humble(X)<~>~strong(X))=>(brave(X)|~patient(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[... | kind(paul) | [] | null | 0 |
If someone is either curious or rich then someone is not happy or not tall. Everyone who is not brave or patient is creative or wise and vice versa. Everyone who is both not calm and generous is not strong or strong and vice versa. If fred is either not happy or strong then paul is either not kind or not creative. Ever... | Paul is not wise. | entailment | ((?[X]:((curious(X)<~>rich(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~brave(X)|patient(X))<=>(creative(X)|wise(X))))&
(![X]:((~calm(X)&generous(X))<=>(~strong(X)|strong(X))))&
(((~happy(fred)<~>strong(fred)))=>((~kind(paul)<~>~creative(paul))))&
(![X]:((quiet(X)<~>strong(X))=>(~brave(X)|~humble(X))))&
(![X]:(~funn... | ~wise(paul) | [
"p2",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7817063788346533233162961
% SZS output start Proof for 7817063788346533233162961
3. ! [X0] : ((generous(X0) & ~calm(X0)) <=> (strong(X0) | ~strong(X0))) [input p2]
11. ! [X0] : ((~rich(X0) | funny(X0)) => (calm(X0) & ~humble(X0))) [input p10]
15. ! [X0] : ((~kind(X0) | wise(X0)) => (~tall... | 0 |
Everyone who is not brave is not rich or not tall.
If alice is patient or old then fred is either happy or calm and vice versa.
If someone is strong or not funny then mary is funny or not tall and vice versa.
Everyone who is creative or not strong is both not creative and humble and vice versa.
If mary is both not tall... | Mary is not humble. | entailment | (![X]:(~brave(X)=>(~rich(X)|~tall(X))))&
(((patient(alice)|old(alice)))<=>((happy(fred)<~>calm(fred))))&
((?[X]:((strong(X)|~funny(X))))<=>((funny(mary)|~tall(mary))))&
(![X]:((creative(X)|~strong(X))<=>(~creative(X)&humble(X))))&
(((~tall(mary)&~quiet(mary)))<=>(?[X]:((~strong(X)|tall(X)))))&
(((~happy(alice)<~>calm(a... | ~humble(mary) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 369230142994379236427613
% SZS output start Proof for 369230142994379236427613
8. ! [X0] : (funny(X0) <=> humble(X0)) [input p7]
18. ~funny(mary) [input p17]
24. humble(mary) [input hypothesis]
49. ! [X0] : ((funny(X0) | ~humble(X0)) & (humble(X0) | ~funny(X0))) [nnf transformation 8]
105... | 0 |
If john is not humble or old then paul is tall or rich and vice versa.
Everyone who is either not curious or wise is not generous.
If someone is either tall or curious then someone is wise or not curious.
Everyone who is not old or funny is both not brave and rich and vice versa.
Everyone who is generous or kind is old... | Susan is rich. | entailment | (((~humble(john)|old(john)))<=>((tall(paul)|rich(paul))))&
(![X]:((~curious(X)<~>wise(X))=>~generous(X)))&
((?[X]:((tall(X)<~>curious(X))))=>(?[X]:((wise(X)|~curious(X)))))&
(![X]:((~old(X)|funny(X))<=>(~brave(X)&rich(X))))&
(![X]:((generous(X)|kind(X))=>old(X)))&
((?[X]:((~patient(X)|old(X))))<=>((curious(fred)<~>brav... | rich(susan) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5678747341228110070388970
% SZS output start Proof for 5678747341228110070388970
8. ! [X0] : ((~rich(X0) | curious(X0)) => ~patient(X0)) [input p7]
10. (humble(susan) | ~strong(susan)) => (~wise(alice) & wise(alice)) [input p9]
13. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (~funny(X0) | ~... | 0 |
If someone is both not patient and curious then lucy is kind or not calm.
Everyone who is not generous is curious.
Everyone who is both not curious and not tall is either not old or not strong.
Everyone who is not kind is both not quiet and not rich.
If paul is not quiet or patient then john is not creative or happy an... | Mary is not tall. | neutral | ((?[X]:((~patient(X)&curious(X))))=>((kind(lucy)|~calm(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:((~curious(X)&~tall(X))=>(~old(X)<~>~strong(X))))&
(![X]:(~kind(X)=>(~quiet(X)&~rich(X))))&
(((~quiet(paul)|patient(paul)))<=>((~creative(john)|happy(john))))&
(![X]:((~tall(X)|wise(X))=>(~happy(X)<~>humble(X))))&
... | ~tall(mary) | [] | null | 0 |
If someone is old or not kind then someone is both not patient and not rich and vice versa.
Everyone who is strong or not old is both rich and not tall.
If someone is funny or not funny then someone is funny or rich and vice versa.
Everyone who is generous is both funny and happy.
Everyone who is both not funny and not... | Lucy is humble. | contradiction | ((?[X]:((old(X)|~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((strong(X)|~old(X))=>(rich(X)&~tall(X))))&
((?[X]:((funny(X)|~funny(X))))<=>(?[X]:((funny(X)|rich(X)))))&
(![X]:(generous(X)=>(funny(X)&happy(X))))&
(![X]:((~funny(X)&~humble(X))<=>(humble(X)|~old(X))))&
(![X]:(old(X)<=>~brave(X)))&
((?[X]:((curious... | humble(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 164995041227837110125018
% SZS output start Proof for 164995041227837110125018
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (~old(X0) | humble(X0))) [input p4]
24. humble(lucy) [input hypothesis]
47. ! [X0] : (((~humble(X0) & ~funny(X0)) | (old(X0) & ~humble(X0))) & ((~old(X0) | humble(X0)... | 0 |
Everyone who is not tall or not quiet is either patient or kind and vice versa.
If john is either old or funny then someone is both old and not quiet and vice versa.
Everyone who is both strong and wise is not patient or not old and vice versa.
If someone is patient or not curious then susan is not happy or not wise an... | Alice is tall. | contradiction | (![X]:((~tall(X)|~quiet(X))<=>(patient(X)<~>kind(X))))&
(((old(john)<~>funny(john)))<=>(?[X]:((old(X)&~quiet(X)))))&
(![X]:((strong(X)&wise(X))<=>(~patient(X)|~old(X))))&
((?[X]:((patient(X)|~curious(X))))<=>((~happy(susan)|~wise(susan))))&
(![X]:((~patient(X)&~generous(X))=>~generous(X)))&
(((generous(mary)&strong(mar... | tall(alice) | [
"p0",
"p2",
"p7",
"p8",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2894032688256321028772812
% SZS output start Proof for 2894032688256321028772812
1. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> (patient(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((wise(X0) & strong(X0)) <=> (~old(X0) | ~patient(X0))) [input p2]
8. ! [X0] : ((~tall(X0) | ~creative(X0)) => kind... | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either calm or not quiet is not creative or funny and vice versa. If alice is either not quiet or not wise then john is both wise and curious. If someone is not old or not wise then someone is not kind and vice versa. Everyone who is either not hu... | John is not brave. | neutral | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![... | ~brave(john) | [] | null | 0 |
Everyone who is not curious is not kind and vice versa. Everyone who is either strong or not wise is happy and vice versa. Everyone who is curious is calm. Everyone who is either curious or not brave is strong and vice versa. Everyone who is either not wise or not kind is both quiet and brave and vice versa. Everyone w... | Paul is quiet. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:(... | quiet(paul) | [
"p4",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4306095518070951833361716
% SZS output start Proof for 4306095518070951833361716
5. ! [X0] : ((~wise(X0) <~> ~kind(X0)) <=> (brave(X0) & quiet(X0))) [input p4]
13. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (wise(X0) & strong(X0))) [input p12]
16. strong(paul) <~> kind(paul) [input p15]
20. ... | 0 |
If lucy is either not old or wise then susan is generous. Everyone who is either not creative or not curious is calm and vice versa. If someone is tall or not old then paul is both not happy and not patient. Everyone who is both funny and curious is either not happy or creative and vice versa. Everyone who is both kind... | Paul is not happy. | entailment | (((~old(lucy)<~>wise(lucy)))=>(generous(susan)))&
(![X]:((~creative(X)<~>~curious(X))<=>calm(X)))&
((?[X]:((tall(X)|~old(X))))=>((~happy(paul)&~patient(paul))))&
(![X]:((funny(X)&curious(X))<=>(~happy(X)<~>creative(X))))&
(![X]:((kind(X)&~happy(X))<=>(rich(X)<~>~creative(X))))&
((?[X]:((~happy(X)|~creative(X))))=>((~ol... | ~happy(paul) | [
"p1",
"p2",
"p3",
"p6",
"p10",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3597430228050107919855610
% SZS output start Proof for 3597430228050107919855610
2. ! [X0] : ((~creative(X0) <~> ~curious(X0)) <=> calm(X0)) [input p1]
3. ? [X0] : (~old(X0) | tall(X0)) => (~patient(paul) & ~happy(paul)) [input p2]
4. ! [X0] : ((curious(X0) & funny(X0)) <=> (~happy(X0) <~... | 0 |
Everyone who is not quiet or not humble is both not curious and humble.
Everyone who is wise or not kind is brave.
Everyone who is not calm is both generous and not wise and vice versa.
Everyone who is either old or calm is brave and vice versa.
Everyone who is either not quiet or generous is not curious or generous.
E... | Fred is humble. | entailment | (![X]:((~quiet(X)|~humble(X))=>(~curious(X)&humble(X))))&
(![X]:((wise(X)|~kind(X))=>brave(X)))&
(![X]:(~calm(X)<=>(generous(X)&~wise(X))))&
(![X]:((old(X)<~>calm(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~... | humble(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7478104020618561763741860
% SZS output start Proof for 7478104020618561763741860
1. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (humble(X0) & ~curious(X0))) [input p0]
25. ~humble(fred) [input hypothesis]
26. ! [X0] : ((humble(X0) & ~curious(X0)) | (humble(X0) & quiet(X0))) [ennf transformati... | 0 |
Everyone who is not humble is both not kind and funny and vice versa.
If alice is not humble then mary is strong or wise and vice versa.
Everyone who is both happy and not curious is both not generous and not rich and vice versa.
Everyone who is patient or humble is not funny and vice versa.
Everyone who is humble or c... | Paul is not funny. | neutral | (![X]:(~humble(X)<=>(~kind(X)&funny(X))))&
((~humble(alice))<=>((strong(mary)|wise(mary))))&
(![X]:((happy(X)&~curious(X))<=>(~generous(X)&~rich(X))))&
(![X]:((patient(X)|humble(X))<=>~funny(X)))&
(![X]:((humble(X)|curious(X))<=>(happy(X)&~patient(X))))&
(((happy(alice)&brave(alice)))<=>((~wise(susan)|old(susan))))&
((... | ~funny(paul) | [] | null | 0 |
Everyone who is both creative and not patient is not generous or not rich and vice versa.
Everyone who is either not brave or not old is either not funny or not kind and vice versa.
If someone is either not generous or not happy then someone is either not calm or not strong and vice versa.
Everyone who is humble or not... | Lucy is brave. | entailment | (![X]:((creative(X)&~patient(X))<=>(~generous(X)|~rich(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((humble(X)|~quiet(X))<=>(patient(X)&tall(X))))&
(![X]:((creative(X)|kind(X))=>(wise(X)&strong(X))))&
((?[X]:((creative(X... | brave(lucy) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5652694847452483454245746
% SZS output start Proof for 5652694847452483454245746
1. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~rich(X0) | ~generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | humble(X0)) <=> (tall(X0) & patient(X0))) [input p3]
5. ! [X0] : ((kind(X0) | creative(X0)) =>... | 0 |
Everyone who is not old is either not tall or kind and vice versa.
If mary is rich or quiet then someone is both curious and strong.
Everyone who is both not strong and rich is not rich or not creative.
Everyone who is brave is both not calm and humble and vice versa.
Everyone who is wise is both not funny and not tall... | Fred is not humble. | entailment | (![X]:(~old(X)<=>(~tall(X)<~>kind(X))))&
(((rich(mary)|quiet(mary)))=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)&humble(X))))&
(![X]:(wise(X)<=>(~funny(X)&~tall(X))))&
((?[X]:((~kind(X)|patient(X))))=>((patient(john)&~rich(john))))&
(![X]:(stron... | ~humble(fred) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6582031779247518773690009
% SZS output start Proof for 6582031779247518773690009
12. ? [X0] : (~strong(X0) & kind(X0)) <=> (humble(fred) | ~old(fred)) [input p11]
15. ! [X0] : (kind(X0) => (~kind(X0) & patient(X0))) [input p14]
22. humble(fred) [input hypothesis]
34. ! [X0] : ((~kind(X0) ... | 0 |
Everyone who is not brave or rich is both generous and old.
Everyone who is both not strong and not happy is funny or generous and vice versa.
If someone is old then someone is both patient and rich and vice versa.
If someone is either not strong or not generous then someone is both not creative and creative.
If someon... | Fred is kind. | neutral | (![X]:((~brave(X)|rich(X))=>(generous(X)&old(X))))&
(![X]:((~strong(X)&~happy(X))<=>(funny(X)|generous(X))))&
((?[X]:(old(X)))<=>(?[X]:((patient(X)&rich(X)))))&
((?[X]:((~strong(X)<~>~generous(X))))=>(?[X]:((~creative(X)&creative(X)))))&
((?[X]:(~tall(X)))<=>((patient(fred)&~quiet(fred))))&
((?[X]:((~wise(X)|~tall(X)))... | kind(fred) | [] | null | 0 |
If alice is old then alice is not tall or not generous and vice versa.
Everyone who is tall or not old is not creative and vice versa.
If fred is both not quiet and tall then john is wise or not old and vice versa.
Everyone who is both tall and not funny is not old or happy.
Everyone who is either not kind or kind is b... | Alice is not creative. | contradiction | ((old(alice))<=>((~tall(alice)|~generous(alice))))&
(![X]:((tall(X)|~old(X))<=>~creative(X)))&
(((~quiet(fred)&tall(fred)))<=>((wise(john)|~old(john))))&
(![X]:((tall(X)&~funny(X))=>(~old(X)|happy(X))))&
(![X]:((~kind(X)<~>kind(X))=>(strong(X)&kind(X))))&
((?[X]:((creative(X)&~wise(X))))=>(?[X]:(humble(X))))&
(![X]:((~... | ~creative(alice) | [
"p0",
"p1",
"p4",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 590183361524201887825202
% SZS output start Proof for 590183361524201887825202
1. old(alice) <=> (~generous(alice) | ~tall(alice)) [input p0]
2. ! [X0] : ((~old(X0) | tall(X0)) <=> ~creative(X0)) [input p1]
5. ! [X0] : ((~kind(X0) <~> kind(X0)) => (kind(X0) & strong(X0))) [input p4]
13. !... | 0 |
If someone is both not old and not calm then susan is both funny and not wise and vice versa.
Everyone who is brave or creative is either not generous or quiet.
If someone is both creative and rich then lucy is quiet or not funny.
If mary is either not wise or strong then susan is funny or not calm and vice versa.
If p... | Lucy is not happy. | contradiction | ((?[X]:((~old(X)&~calm(X))))<=>((funny(susan)&~wise(susan))))&
(![X]:((brave(X)|creative(X))=>(~generous(X)<~>quiet(X))))&
((?[X]:((creative(X)&rich(X))))=>((quiet(lucy)|~funny(lucy))))&
(((~wise(mary)<~>strong(mary)))<=>((funny(susan)|~calm(susan))))&
((calm(paul))=>(?[X]:((rich(X)<~>humble(X)))))&
((?[X]:(~funny(X)))... | ~happy(lucy) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 670119340852679810989842
% SZS output start Proof for 670119340852679810989842
15. ! [X0] : ((~happy(X0) & ~brave(X0)) => (patient(X0) & happy(X0))) [input p14]
19. tall(lucy) & ~brave(lucy) [input p18]
25. ~happy(lucy) [input hypothesis]
34. ! [X0] : ((patient(X0) & happy(X0)) | (happy(X... | 0 |
If fred is either wise or patient then john is either kind or not old and vice versa.
Everyone who is both patient and not humble is both not humble and not curious and vice versa.
If john is curious then someone is not creative or funny and vice versa.
Everyone who is either not tall or brave is not curious or not str... | Paul is happy. | contradiction | (((wise(fred)<~>patient(fred)))<=>((kind(john)<~>~old(john))))&
(![X]:((patient(X)&~humble(X))<=>(~humble(X)&~curious(X))))&
((curious(john))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((~tall(X)<~>brave(X))<=>(~curious(X)|~strong(X))))&
(![X]:((happy(X)<~>rich(X))<=>(~patient(X)|rich(X))))&
(((strong(fred)&wise(fred))... | happy(paul) | [
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5791179371319053906230034
% SZS output start Proof for 5791179371319053906230034
5. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (rich(X0) | ~patient(X0))) [input p4]
8. ! [X0] : (~patient(X0) => (kind(X0) & funny(X0))) [input p7]
10. ! [X0] : (kind(X0) <=> (funny(X0) & ~rich(X0))) [input p9]
1... | 0 |
Everyone who is not patient is old or tall and vice versa. If mary is either strong or not humble then paul is happy. Everyone who is either wise or old is not generous or wise and vice versa. If alice is both kind and not humble then lucy is both not creative and brave. If alice is not patient or not calm then someone... | John is not funny. | contradiction | (![X]:(~patient(X)<=>(old(X)|tall(X))))&
(((strong(mary)<~>~humble(mary)))=>(happy(paul)))&
(![X]:((wise(X)<~>old(X))<=>(~generous(X)|wise(X))))&
(((kind(alice)&~humble(alice)))=>((~creative(lucy)&brave(lucy))))&
(((~patient(alice)|~calm(alice)))=>(?[X]:(~funny(X))))&
((?[X]:((~quiet(X)|strong(X))))=>((~rich(fred)|happ... | ~funny(john) | [
"p2",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4171068845606485886324371
% SZS output start Proof for 4171068845606485886324371
3. ! [X0] : ((wise(X0) <~> old(X0)) <=> (wise(X0) | ~generous(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~curious(X0)) => old(X0)) [input p7]
15. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (generous(X0) & happy(... | 0 |
Everyone who is not curious is either quiet or not funny and vice versa.
If susan is both not happy and not humble then susan is either not quiet or not old.
Everyone who is both not happy and not rich is strong or not creative.
If lucy is not patient then lucy is patient.
Everyone who is not creative is both not creat... | Lucy is not patient. | contradiction | (![X]:(~curious(X)<=>(quiet(X)<~>~funny(X))))&
(((~happy(susan)&~humble(susan)))=>((~quiet(susan)<~>~old(susan))))&
(![X]:((~happy(X)&~rich(X))=>(strong(X)|~creative(X))))&
((~patient(lucy))=>(patient(lucy)))&
(![X]:(~creative(X)=>(~creative(X)&~brave(X))))&
(((rich(fred)&~creative(fred)))<=>(~quiet(lucy)))&
(![X]:(gen... | ~patient(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6698657315827339919195550
% SZS output start Proof for 6698657315827339919195550
4. ~patient(lucy) => patient(lucy) [input p3]
25. ~patient(lucy) [input hypothesis]
32. patient(lucy) | patient(lucy) [ennf transformation 4]
83. patient(lucy) | patient(lucy) [cnf transformation 32]
132. ~pa... | 0 |
If lucy is not old or old then john is tall and vice versa. Everyone who is both not old and not patient is either quiet or not old. If someone is not funny or old then someone is either curious or rich. If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is... | Paul is calm. | contradiction | (((~old(lucy)|old(lucy)))<=>(tall(john)))&
(![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))... | calm(paul) | [
"p6",
"p8",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8723203013846129198666351
% SZS output start Proof for 8723203013846129198666351
7. (~old(paul) <~> ~rich(paul)) <=> ~creative(paul) [input p6]
9. ! [X0] : (~calm(X0) <=> happy(X0)) [input p8]
11. ! [X0] : (calm(X0) <=> (~kind(X0) & ~old(X0))) [input p10]
15. ! [X0] : ((calm(X0) | happy(X... | 0 |
Everyone who is either not wise or kind is both kind and not brave and vice versa.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet or humble is not rich or patient and vice versa.
Everyone who is both not ... | Lucy is strong. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(kind(X)&~brave(X))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brav... | strong(lucy) | [] | null | 0 |
Everyone who is not wise or not generous is both patient and not tall.
Everyone who is either not wise or wise is either not kind or old and vice versa.
If someone is both not generous and calm then someone is both strong and happy and vice versa.
If alice is not generous then alice is either not kind or wise and vice ... | Paul is not patient. | contradiction | (![X]:((~wise(X)|~generous(X))=>(patient(X)&~tall(X))))&
(![X]:((~wise(X)<~>wise(X))<=>(~kind(X)<~>old(X))))&
((?[X]:((~generous(X)&calm(X))))<=>(?[X]:((strong(X)&happy(X)))))&
((~generous(alice))<=>((~kind(alice)<~>wise(alice))))&
(((tall(lucy)<~>~kind(lucy)))<=>(?[X]:(~rich(X))))&
(![X]:(rich(X)<=>calm(X)))&
(![X]:((... | ~patient(paul) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5967515001010099565904858
% SZS output start Proof for 5967515001010099565904858
6. ! [X0] : (rich(X0) <=> calm(X0)) [input p5]
9. ! [X0] : ((~calm(X0) <~> ~rich(X0)) <=> (~wise(X0) | ~patient(X0))) [input p8]
24. ~patient(paul) [input hypothesis]
49. ! [X0] : ((rich(X0) | ~calm(X0)) & (c... | 0 |
If someone is both not funny and not brave then someone is wise.
If susan is either patient or curious then someone is both not quiet and not curious and vice versa.
If someone is not funny or not old then someone is either not creative or generous and vice versa.
Everyone who is creative is not generous and vice versa... | Mary is quiet. | neutral | ((?[X]:((~funny(X)&~brave(X))))=>(?[X]:(wise(X))))&
(((patient(susan)<~>curious(susan)))<=>(?[X]:((~quiet(X)&~curious(X)))))&
((?[X]:((~funny(X)|~old(X))))<=>(?[X]:((~creative(X)<~>generous(X)))))&
(![X]:(creative(X)<=>~generous(X)))&
((?[X]:((patient(X)&~happy(X))))=>((strong(alice)&~humble(alice))))&
(![X]:((generous... | quiet(mary) | [] | null | 0 |
Everyone who is both not rich and kind is either not rich or funny and vice versa.
If someone is not tall then someone is not strong and vice versa.
If someone is happy then someone is both quiet and not patient and vice versa.
If someone is not curious then alice is either not creative or funny and vice versa.
If susa... | Susan is not funny. | entailment | (![X]:((~rich(X)&kind(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~strong(X))))&
((?[X]:(happy(X)))<=>(?[X]:((quiet(X)&~patient(X)))))&
((?[X]:(~curious(X)))<=>((~creative(alice)<~>funny(alice))))&
(((~happy(susan)<~>kind(susan)))<=>((~tall(susan)<~>~old(susan))))&
(![X]:((old(X)<~>~generous(X))=>(calm(X... | ~funny(susan) | [
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9153532642125529260889119
% SZS output start Proof for 9153532642125529260889119
3. ? [X0] : happy(X0) <=> ? [X0] : (~patient(X0) & quiet(X0)) [input p2]
13. ! [X0] : ((brave(X0) & happy(X0)) <=> (old(X0) | funny(X0))) [input p12]
14. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (quiet(X0) | wise... | 0 |
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